Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [392,2,Mod(3,392)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(392, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 21, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("392.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 392 = 2^{3} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 392.bc (of order \(42\), degree \(12\), 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: | \(3.13013575923\) |
Analytic rank: | \(0\) |
Dimension: | \(648\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 299.18 | ||
Character | \(\chi\) | \(=\) | 392.299 |
Dual form | 392.2.bc.a.59.18 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/392\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(297\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{29}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.722295 | − | 1.21585i | −0.510740 | − | 0.859735i | ||||
\(3\) | 0.240470 | − | 0.352705i | 0.138835 | − | 0.203634i | −0.750524 | − | 0.660844i | \(-0.770199\pi\) |
0.889359 | + | 0.457209i | \(0.151151\pi\) | |||||||
\(4\) | −0.956578 | + | 1.75640i | −0.478289 | + | 0.878202i | ||||
\(5\) | 0.0287133 | − | 0.383153i | 0.0128410 | − | 0.171351i | −0.987096 | − | 0.160129i | \(-0.948809\pi\) |
0.999937 | − | 0.0112218i | \(-0.00357209\pi\) | |||||||
\(6\) | −0.602526 | − | 0.0376182i | −0.245980 | − | 0.0153576i | ||||
\(7\) | −1.65055 | + | 2.06778i | −0.623848 | + | 0.781545i | ||||
\(8\) | 2.82646 | − | 0.105588i | 0.999303 | − | 0.0373311i | ||||
\(9\) | 1.02945 | + | 2.62299i | 0.343149 | + | 0.874330i | ||||
\(10\) | −0.486596 | + | 0.241838i | −0.153875 | + | 0.0764760i | ||||
\(11\) | 1.87657 | − | 4.78142i | 0.565807 | − | 1.44165i | −0.306108 | − | 0.951997i | \(-0.599027\pi\) |
0.871915 | − | 0.489657i | \(-0.162878\pi\) | |||||||
\(12\) | 0.389464 | + | 0.759753i | 0.112429 | + | 0.219322i | ||||
\(13\) | 3.05438 | + | 3.83008i | 0.847133 | + | 1.06227i | 0.997287 | + | 0.0736091i | \(0.0234517\pi\) |
−0.150154 | + | 0.988663i | \(0.547977\pi\) | |||||||
\(14\) | 3.70629 | + | 0.513272i | 0.990546 | + | 0.137178i | ||||
\(15\) | −0.128235 | − | 0.102264i | −0.0331102 | − | 0.0264045i | ||||
\(16\) | −2.16992 | − | 3.36028i | −0.542479 | − | 0.840069i | ||||
\(17\) | −1.37239 | − | 1.47909i | −0.332854 | − | 0.358731i | 0.544342 | − | 0.838863i | \(-0.316779\pi\) |
−0.877196 | + | 0.480132i | \(0.840589\pi\) | |||||||
\(18\) | 2.44560 | − | 3.14623i | 0.576433 | − | 0.741573i | ||||
\(19\) | 6.59153 | + | 3.80562i | 1.51220 | + | 0.873070i | 0.999898 | + | 0.0142648i | \(0.00454078\pi\) |
0.512303 | + | 0.858805i | \(0.328793\pi\) | |||||||
\(20\) | 0.645505 | + | 0.416948i | 0.144339 | + | 0.0932324i | ||||
\(21\) | 0.332407 | + | 1.07939i | 0.0725371 | + | 0.235543i | ||||
\(22\) | −7.16893 | + | 1.17197i | −1.52842 | + | 0.249866i | ||||
\(23\) | 1.43724 | − | 1.54898i | 0.299686 | − | 0.322984i | −0.565199 | − | 0.824954i | \(-0.691201\pi\) |
0.864885 | + | 0.501970i | \(0.167391\pi\) | |||||||
\(24\) | 0.642437 | − | 1.02230i | 0.131137 | − | 0.208675i | ||||
\(25\) | 4.79817 | + | 0.723208i | 0.959634 | + | 0.144642i | ||||
\(26\) | 2.45063 | − | 6.48012i | 0.480607 | − | 1.27086i | ||||
\(27\) | 2.42122 | + | 0.552629i | 0.465965 | + | 0.106353i | ||||
\(28\) | −2.05297 | − | 4.87702i | −0.387975 | − | 0.921670i | ||||
\(29\) | −1.71969 | + | 0.392509i | −0.319339 | + | 0.0728871i | −0.379186 | − | 0.925320i | \(-0.623796\pi\) |
0.0598467 | + | 0.998208i | \(0.480939\pi\) | |||||||
\(30\) | −0.0317141 | + | 0.229780i | −0.00579017 | + | 0.0419518i | ||||
\(31\) | −2.79218 | − | 4.83620i | −0.501491 | − | 0.868607i | −0.999999 | − | 0.00172218i | \(-0.999452\pi\) |
0.498508 | − | 0.866885i | \(-0.333882\pi\) | |||||||
\(32\) | −2.51827 | + | 5.06540i | −0.445172 | + | 0.895445i | ||||
\(33\) | −1.23517 | − | 1.81166i | −0.215016 | − | 0.315370i | ||||
\(34\) | −0.807074 | + | 2.73696i | −0.138412 | + | 0.469385i | ||||
\(35\) | 0.744881 | + | 0.691785i | 0.125908 | + | 0.116933i | ||||
\(36\) | −5.59178 | − | 0.700969i | −0.931964 | − | 0.116828i | ||||
\(37\) | −1.94614 | + | 6.30922i | −0.319943 | + | 1.03723i | 0.642623 | + | 0.766182i | \(0.277846\pi\) |
−0.962566 | + | 0.271047i | \(0.912630\pi\) | |||||||
\(38\) | −0.133971 | − | 10.7631i | −0.0217329 | − | 1.74600i | ||||
\(39\) | 2.08537 | − | 0.156277i | 0.333927 | − | 0.0250244i | ||||
\(40\) | 0.0407006 | − | 1.08600i | 0.00643532 | − | 0.171711i | ||||
\(41\) | −0.147753 | − | 0.306812i | −0.0230751 | − | 0.0479159i | 0.889113 | − | 0.457688i | \(-0.151322\pi\) |
−0.912188 | + | 0.409772i | \(0.865608\pi\) | |||||||
\(42\) | 1.07228 | − | 1.18380i | 0.165457 | − | 0.182664i | ||||
\(43\) | 1.11584 | + | 0.537359i | 0.170164 | + | 0.0819465i | 0.517027 | − | 0.855969i | \(-0.327039\pi\) |
−0.346863 | + | 0.937916i | \(0.612753\pi\) | |||||||
\(44\) | 6.60303 | + | 7.86982i | 0.995444 | + | 1.18642i | ||||
\(45\) | 1.03457 | − | 0.319121i | 0.154224 | − | 0.0475718i | ||||
\(46\) | −2.92144 | − | 0.628649i | −0.430742 | − | 0.0926893i | ||||
\(47\) | 6.92682 | − | 1.04405i | 1.01038 | − | 0.152290i | 0.377067 | − | 0.926186i | \(-0.376932\pi\) |
0.633313 | + | 0.773895i | \(0.281694\pi\) | |||||||
\(48\) | −1.70699 | − | 0.0427066i | −0.246382 | − | 0.00616417i | ||||
\(49\) | −1.55139 | − | 6.82592i | −0.221627 | − | 0.975132i | ||||
\(50\) | −2.58639 | − | 6.35622i | −0.365770 | − | 0.898906i | ||||
\(51\) | −0.851701 | + | 0.128373i | −0.119262 | + | 0.0179758i | ||||
\(52\) | −9.64892 | + | 1.70097i | −1.33806 | + | 0.235881i | ||||
\(53\) | 0.313014 | + | 1.01477i | 0.0429958 | + | 0.139389i | 0.974526 | − | 0.224276i | \(-0.0720016\pi\) |
−0.931530 | + | 0.363665i | \(0.881525\pi\) | |||||||
\(54\) | −1.07693 | − | 3.34301i | −0.146551 | − | 0.454925i | ||||
\(55\) | −1.77813 | − | 0.856304i | −0.239763 | − | 0.115464i | ||||
\(56\) | −4.44687 | + | 6.01875i | −0.594237 | + | 0.804290i | ||||
\(57\) | 2.92733 | − | 1.40973i | 0.387734 | − | 0.186723i | ||||
\(58\) | 1.71936 | + | 1.80738i | 0.225763 | + | 0.237321i | ||||
\(59\) | −5.81225 | + | 0.435568i | −0.756691 | + | 0.0567061i | −0.447488 | − | 0.894290i | \(-0.647681\pi\) |
−0.309203 | + | 0.950996i | \(0.600062\pi\) | |||||||
\(60\) | 0.302284 | − | 0.127409i | 0.0390247 | − | 0.0164485i | ||||
\(61\) | 8.69533 | + | 2.68215i | 1.11332 | + | 0.343415i | 0.796239 | − | 0.604983i | \(-0.206820\pi\) |
0.317084 | + | 0.948397i | \(0.397296\pi\) | |||||||
\(62\) | −3.86331 | + | 6.88804i | −0.490641 | + | 0.874782i | ||||
\(63\) | −7.12291 | − | 2.20070i | −0.897402 | − | 0.277263i | ||||
\(64\) | 7.97770 | − | 0.596881i | 0.997213 | − | 0.0746101i | ||||
\(65\) | 1.55521 | − | 1.06032i | 0.192900 | − | 0.131517i | ||||
\(66\) | −1.31055 | + | 2.81034i | −0.161318 | + | 0.345929i | ||||
\(67\) | −6.09551 | − | 10.5577i | −0.744685 | − | 1.28983i | −0.950342 | − | 0.311208i | \(-0.899266\pi\) |
0.205656 | − | 0.978624i | \(-0.434067\pi\) | |||||||
\(68\) | 3.91068 | − | 0.995614i | 0.474239 | − | 0.120736i | ||||
\(69\) | −0.200718 | − | 0.879405i | −0.0241637 | − | 0.105868i | ||||
\(70\) | 0.303081 | − | 1.40534i | 0.0362252 | − | 0.167970i | ||||
\(71\) | −1.21233 | − | 0.276706i | −0.143877 | − | 0.0328390i | 0.149976 | − | 0.988690i | \(-0.452080\pi\) |
−0.293853 | + | 0.955851i | \(0.594938\pi\) | |||||||
\(72\) | 3.18665 | + | 7.30507i | 0.375550 | + | 0.860911i | ||||
\(73\) | −1.28872 | + | 8.55007i | −0.150833 | + | 1.00071i | 0.777479 | + | 0.628909i | \(0.216498\pi\) |
−0.928312 | + | 0.371802i | \(0.878740\pi\) | |||||||
\(74\) | 9.07675 | − | 2.19091i | 1.05515 | − | 0.254688i | ||||
\(75\) | 1.40890 | − | 1.51843i | 0.162685 | − | 0.175333i | ||||
\(76\) | −12.9895 | + | 7.93702i | −1.49000 | + | 0.910439i | ||||
\(77\) | 6.78954 | + | 11.7723i | 0.773740 | + | 1.34158i | ||||
\(78\) | −1.69627 | − | 2.42262i | −0.192064 | − | 0.274308i | ||||
\(79\) | −12.7347 | − | 7.35240i | −1.43277 | − | 0.827210i | −0.435438 | − | 0.900219i | \(-0.643406\pi\) |
−0.997331 | + | 0.0730091i | \(0.976740\pi\) | |||||||
\(80\) | −1.34981 | + | 0.734924i | −0.150913 | + | 0.0821671i | ||||
\(81\) | −5.41958 | + | 5.02863i | −0.602175 | + | 0.558737i | ||||
\(82\) | −0.266316 | + | 0.401254i | −0.0294096 | + | 0.0443111i | ||||
\(83\) | 8.01747 | + | 6.39372i | 0.880031 | + | 0.701802i | 0.955388 | − | 0.295355i | \(-0.0954380\pi\) |
−0.0753562 | + | 0.997157i | \(0.524009\pi\) | |||||||
\(84\) | −2.21383 | − | 0.448684i | −0.241548 | − | 0.0489554i | ||||
\(85\) | −0.606123 | + | 0.483367i | −0.0657432 | + | 0.0524285i | ||||
\(86\) | −0.152617 | − | 1.74482i | −0.0164571 | − | 0.188149i | ||||
\(87\) | −0.275095 | + | 0.700931i | −0.0294933 | + | 0.0751477i | ||||
\(88\) | 4.79918 | − | 13.7126i | 0.511594 | − | 1.46177i | ||||
\(89\) | −7.52894 | + | 2.95489i | −0.798066 | + | 0.313218i | −0.729105 | − | 0.684402i | \(-0.760063\pi\) |
−0.0689605 | + | 0.997619i | \(0.521968\pi\) | |||||||
\(90\) | −1.13527 | − | 1.02738i | −0.119667 | − | 0.108295i | ||||
\(91\) | −12.9611 | − | 0.00594332i | −1.35870 | − | 0.000623030i | ||||
\(92\) | 1.34580 | + | 4.00610i | 0.140309 | + | 0.417665i | ||||
\(93\) | −2.37719 | − | 0.178146i | −0.246503 | − | 0.0184728i | ||||
\(94\) | −6.27262 | − | 7.66786i | −0.646971 | − | 0.790879i | ||||
\(95\) | 1.64740 | − | 2.41629i | 0.169020 | − | 0.247906i | ||||
\(96\) | 1.18102 | + | 2.10628i | 0.120538 | + | 0.214972i | ||||
\(97\) | 1.81367i | 0.184150i | 0.995752 | + | 0.0920752i | \(0.0293500\pi\) | ||||
−0.995752 | + | 0.0920752i | \(0.970650\pi\) | |||||||
\(98\) | −7.17873 | + | 6.81658i | −0.725161 | + | 0.688579i | ||||
\(99\) | 14.4735 | 1.45464 | ||||||||
\(100\) | −5.86007 | + | 7.73573i | −0.586007 | + | 0.773573i | ||||
\(101\) | 9.27225 | + | 6.32171i | 0.922623 | + | 0.629034i | 0.928654 | − | 0.370948i | \(-0.120967\pi\) |
−0.00603059 | + | 0.999982i | \(0.501920\pi\) | |||||||
\(102\) | 0.771262 | + | 0.942816i | 0.0763663 | + | 0.0933527i | ||||
\(103\) | −0.796115 | + | 10.6234i | −0.0784435 | + | 1.04676i | 0.809596 | + | 0.586988i | \(0.199686\pi\) |
−0.888039 | + | 0.459768i | \(0.847933\pi\) | |||||||
\(104\) | 9.03749 | + | 10.5030i | 0.886199 | + | 1.02991i | ||||
\(105\) | 0.423117 | − | 0.0963697i | 0.0412920 | − | 0.00940472i | ||||
\(106\) | 1.00772 | − | 1.11354i | 0.0978780 | − | 0.108157i | ||||
\(107\) | 2.66334 | + | 6.78609i | 0.257475 | + | 0.656036i | 0.999904 | − | 0.0138893i | \(-0.00442124\pi\) |
−0.742428 | + | 0.669926i | \(0.766326\pi\) | |||||||
\(108\) | −3.28673 | + | 3.72402i | −0.316266 | + | 0.358344i | ||||
\(109\) | −1.98386 | − | 0.778607i | −0.190019 | − | 0.0745770i | 0.268424 | − | 0.963301i | \(-0.413497\pi\) |
−0.458443 | + | 0.888724i | \(0.651593\pi\) | |||||||
\(110\) | 0.243201 | + | 2.78045i | 0.0231883 | + | 0.265105i | ||||
\(111\) | 1.75730 | + | 2.20359i | 0.166796 | + | 0.209156i | ||||
\(112\) | 10.5298 | + | 1.05940i | 0.994977 | + | 0.100104i | ||||
\(113\) | −9.84621 | + | 12.3468i | −0.926254 | + | 1.16149i | 0.0603219 | + | 0.998179i | \(0.480787\pi\) |
−0.986575 | + | 0.163306i | \(0.947784\pi\) | |||||||
\(114\) | −3.82841 | − | 2.54095i | −0.358563 | − | 0.237982i | ||||
\(115\) | −0.552227 | − | 0.595160i | −0.0514955 | − | 0.0554989i | ||||
\(116\) | 0.955618 | − | 3.39595i | 0.0887269 | − | 0.315306i | ||||
\(117\) | −6.90192 | + | 11.9545i | −0.638083 | + | 1.10519i | ||||
\(118\) | 4.72775 | + | 6.75221i | 0.435224 | + | 0.621591i | ||||
\(119\) | 5.32362 | − | 0.396495i | 0.488015 | − | 0.0363467i | ||||
\(120\) | −0.373249 | − | 0.275505i | −0.0340728 | − | 0.0251500i | ||||
\(121\) | −11.2769 | − | 10.4635i | −1.02517 | − | 0.951223i | ||||
\(122\) | −3.01950 | − | 12.5095i | −0.273373 | − | 1.13256i | ||||
\(123\) | −0.143744 | − | 0.0216659i | −0.0129610 | − | 0.00195355i | ||||
\(124\) | 11.1653 | − | 0.277996i | 1.00267 | − | 0.0249648i | ||||
\(125\) | 0.842364 | − | 3.69064i | 0.0753433 | − | 0.330101i | ||||
\(126\) | 2.46912 | + | 10.2499i | 0.219967 | + | 0.913137i | ||||
\(127\) | 0.122669 | − | 0.0279983i | 0.0108851 | − | 0.00248445i | −0.217075 | − | 0.976155i | \(-0.569652\pi\) |
0.227960 | + | 0.973670i | \(0.426794\pi\) | |||||||
\(128\) | −6.48798 | − | 9.26856i | −0.573461 | − | 0.819233i | ||||
\(129\) | 0.457855 | − | 0.264342i | 0.0403118 | − | 0.0232741i | ||||
\(130\) | −2.41251 | − | 1.12503i | −0.211591 | − | 0.0986717i | ||||
\(131\) | −7.61068 | − | 11.1628i | −0.664948 | − | 0.975300i | −0.999458 | − | 0.0329080i | \(-0.989523\pi\) |
0.334510 | − | 0.942392i | \(-0.391429\pi\) | |||||||
\(132\) | 4.36355 | − | 0.436463i | 0.379799 | − | 0.0379892i | ||||
\(133\) | −18.7488 | + | 7.34844i | −1.62573 | + | 0.637191i | ||||
\(134\) | −8.43385 | + | 15.0370i | −0.728574 | + | 1.29900i | ||||
\(135\) | 0.281263 | − | 0.911831i | 0.0242072 | − | 0.0784779i | ||||
\(136\) | −4.03518 | − | 4.03567i | −0.346014 | − | 0.346056i | ||||
\(137\) | −0.972439 | − | 12.9763i | −0.0830811 | − | 1.10864i | −0.870482 | − | 0.492200i | \(-0.836193\pi\) |
0.787401 | − | 0.616441i | \(-0.211426\pi\) | |||||||
\(138\) | −0.924246 | + | 0.879234i | −0.0786770 | + | 0.0748453i | ||||
\(139\) | −0.462513 | − | 0.960419i | −0.0392299 | − | 0.0814617i | 0.880433 | − | 0.474171i | \(-0.157252\pi\) |
−0.919663 | + | 0.392709i | \(0.871538\pi\) | |||||||
\(140\) | −1.92759 | + | 0.646567i | −0.162911 | + | 0.0546448i | ||||
\(141\) | 1.29745 | − | 2.69419i | 0.109265 | − | 0.226891i | ||||
\(142\) | 0.539227 | + | 1.67387i | 0.0452509 | + | 0.140468i | ||||
\(143\) | 24.0450 | − | 7.41689i | 2.01074 | − | 0.620232i | ||||
\(144\) | 6.58016 | − | 9.15090i | 0.548347 | − | 0.762575i | ||||
\(145\) | 0.101013 | + | 0.670176i | 0.00838866 | + | 0.0556551i | ||||
\(146\) | 11.3264 | − | 4.60879i | 0.937382 | − | 0.381427i | ||||
\(147\) | −2.78060 | − | 1.09425i | −0.229340 | − | 0.0902521i | ||||
\(148\) | −9.21991 | − | 9.45347i | −0.757872 | − | 0.777070i | ||||
\(149\) | −3.38853 | − | 22.4814i | −0.277599 | − | 1.84175i | −0.499045 | − | 0.866576i | \(-0.666316\pi\) |
0.221446 | − | 0.975173i | \(-0.428922\pi\) | |||||||
\(150\) | −2.86382 | − | 0.616251i | −0.233830 | − | 0.0503167i | ||||
\(151\) | −6.70461 | − | 21.7358i | −0.545613 | − | 1.76883i | −0.634643 | − | 0.772805i | \(-0.718853\pi\) |
0.0890300 | − | 0.996029i | \(-0.471623\pi\) | |||||||
\(152\) | 19.0325 | + | 10.0604i | 1.54374 | + | 0.816009i | ||||
\(153\) | 2.46683 | − | 5.12242i | 0.199431 | − | 0.414123i | ||||
\(154\) | 9.40928 | − | 16.7581i | 0.758221 | − | 1.35041i | ||||
\(155\) | −1.93318 | + | 0.930969i | −0.155277 | + | 0.0747772i | ||||
\(156\) | −1.72034 | + | 3.81225i | −0.137737 | + | 0.305224i | ||||
\(157\) | −1.07308 | − | 14.3193i | −0.0856412 | − | 1.14280i | −0.860082 | − | 0.510156i | \(-0.829588\pi\) |
0.774441 | − | 0.632646i | \(-0.218031\pi\) | |||||||
\(158\) | 0.258829 | + | 20.7941i | 0.0205913 | + | 1.65429i | ||||
\(159\) | 0.433184 | + | 0.133620i | 0.0343537 | + | 0.0105967i | ||||
\(160\) | 1.86852 | + | 1.11033i | 0.147719 | + | 0.0877791i | ||||
\(161\) | 0.830703 | + | 5.52855i | 0.0654686 | + | 0.435711i | ||||
\(162\) | 10.0286 | + | 2.95723i | 0.787921 | + | 0.232342i | ||||
\(163\) | 4.18225 | − | 2.85141i | 0.327579 | − | 0.223340i | −0.388351 | − | 0.921512i | \(-0.626955\pi\) |
0.715930 | + | 0.698172i | \(0.246003\pi\) | |||||||
\(164\) | 0.680223 | + | 0.0339759i | 0.0531165 | + | 0.00265307i | ||||
\(165\) | −0.729610 | + | 0.421241i | −0.0568001 | + | 0.0327935i | ||||
\(166\) | 1.98281 | − | 14.3662i | 0.153896 | − | 1.11503i | ||||
\(167\) | −4.85062 | − | 21.2519i | −0.375352 | − | 1.64452i | −0.711479 | − | 0.702707i | \(-0.751974\pi\) |
0.336127 | − | 0.941817i | \(-0.390883\pi\) | |||||||
\(168\) | 1.05350 | + | 3.01576i | 0.0812797 | + | 0.232671i | ||||
\(169\) | −2.44745 | + | 10.7230i | −0.188265 | + | 0.824844i | ||||
\(170\) | 1.02550 | + | 0.387820i | 0.0786523 | + | 0.0297444i | ||||
\(171\) | −3.19647 | + | 21.2072i | −0.244441 | + | 1.62176i | ||||
\(172\) | −2.01121 | + | 1.44584i | −0.153353 | + | 0.110244i | ||||
\(173\) | 4.82824 | + | 4.47995i | 0.367084 | + | 0.340604i | 0.842050 | − | 0.539400i | \(-0.181349\pi\) |
−0.474965 | + | 0.880005i | \(0.657539\pi\) | |||||||
\(174\) | 1.05093 | − | 0.171805i | 0.0796705 | − | 0.0130245i | ||||
\(175\) | −9.41504 | + | 8.72785i | −0.711710 | + | 0.659764i | ||||
\(176\) | −20.1389 | + | 4.06949i | −1.51803 | + | 0.306749i | ||||
\(177\) | −1.24405 | + | 2.15475i | −0.0935082 | + | 0.161961i | ||||
\(178\) | 9.03082 | + | 7.01975i | 0.676888 | + | 0.526152i | ||||
\(179\) | 5.95510 | − | 5.52552i | 0.445105 | − | 0.412997i | −0.425517 | − | 0.904951i | \(-0.639908\pi\) |
0.870621 | + | 0.491954i | \(0.163717\pi\) | |||||||
\(180\) | −0.429137 | + | 2.12238i | −0.0319860 | + | 0.158193i | ||||
\(181\) | 6.36945 | − | 7.98704i | 0.473437 | − | 0.593672i | −0.486572 | − | 0.873641i | \(-0.661753\pi\) |
0.960009 | + | 0.279969i | \(0.0903242\pi\) | |||||||
\(182\) | 9.35455 | + | 15.7631i | 0.693405 | + | 1.16844i | ||||
\(183\) | 3.03697 | − | 2.42191i | 0.224500 | − | 0.179032i | ||||
\(184\) | 3.89875 | − | 4.52987i | 0.287419 | − | 0.333947i | ||||
\(185\) | 2.36152 | + | 0.926826i | 0.173622 | + | 0.0681416i | ||||
\(186\) | 1.50043 | + | 3.01898i | 0.110017 | + | 0.221362i | ||||
\(187\) | −9.64754 | + | 3.78638i | −0.705498 | + | 0.276887i | ||||
\(188\) | −4.79227 | + | 13.1650i | −0.349513 | + | 0.960158i | ||||
\(189\) | −5.13906 | + | 4.09441i | −0.373811 | + | 0.297824i | ||||
\(190\) | −4.12776 | − | 0.257713i | −0.299459 | − | 0.0186965i | ||||
\(191\) | −18.3992 | − | 1.37883i | −1.33132 | − | 0.0997684i | −0.610016 | − | 0.792389i | \(-0.708837\pi\) |
−0.721302 | + | 0.692621i | \(0.756456\pi\) | |||||||
\(192\) | 1.70788 | − | 2.95731i | 0.123255 | − | 0.213425i | ||||
\(193\) | 10.2304 | + | 6.97500i | 0.736404 | + | 0.502072i | 0.872494 | − | 0.488625i | \(-0.162501\pi\) |
−0.136090 | + | 0.990696i | \(0.543454\pi\) | |||||||
\(194\) | 2.20515 | − | 1.31001i | 0.158321 | − | 0.0940530i | ||||
\(195\) | − | 0.803504i | − | 0.0575401i | ||||||
\(196\) | 13.4731 | + | 3.80467i | 0.962365 | + | 0.271762i | ||||
\(197\) | − | 9.18980i | − | 0.654746i | −0.944895 | − | 0.327373i | \(-0.893837\pi\) | ||
0.944895 | − | 0.327373i | \(-0.106163\pi\) | |||||||
\(198\) | −10.4541 | − | 17.5975i | −0.742942 | − | 1.25060i | ||||
\(199\) | −5.48695 | − | 3.74094i | −0.388959 | − | 0.265188i | 0.353013 | − | 0.935618i | \(-0.385157\pi\) |
−0.741972 | + | 0.670430i | \(0.766109\pi\) | |||||||
\(200\) | 13.6382 | + | 1.53749i | 0.964365 | + | 0.108717i | ||||
\(201\) | −5.18955 | − | 0.388903i | −0.366043 | − | 0.0274311i | ||||
\(202\) | 0.988945 | − | 15.8398i | 0.0695819 | − | 1.11448i | ||||
\(203\) | 2.02682 | − | 4.20380i | 0.142255 | − | 0.295049i | ||||
\(204\) | 0.589243 | − | 1.61873i | 0.0412553 | − | 0.113334i | ||||
\(205\) | −0.121798 | + | 0.0478023i | −0.00850676 | + | 0.00333866i | ||||
\(206\) | 13.4915 | − | 6.70529i | 0.939997 | − | 0.467179i | ||||
\(207\) | 5.54252 | + | 2.17528i | 0.385232 | + | 0.151192i | ||||
\(208\) | 6.24236 | − | 18.5745i | 0.432830 | − | 1.28791i | ||||
\(209\) | 30.5658 | − | 24.3754i | 2.11428 | − | 1.68608i | ||||
\(210\) | −0.422787 | − | 0.444840i | −0.0291751 | − | 0.0306968i | ||||
\(211\) | 3.67990 | − | 4.61445i | 0.253335 | − | 0.317672i | −0.638860 | − | 0.769323i | \(-0.720594\pi\) |
0.892194 | + | 0.451651i | \(0.149165\pi\) | |||||||
\(212\) | −2.08177 | − | 0.420925i | −0.142976 | − | 0.0289092i | ||||
\(213\) | −0.389124 | + | 0.361055i | −0.0266624 | + | 0.0247391i | ||||
\(214\) | 6.32714 | − | 8.13979i | 0.432515 | − | 0.556425i | ||||
\(215\) | 0.237930 | − | 0.412107i | 0.0162267 | − | 0.0281055i | ||||
\(216\) | 6.90184 | + | 1.30633i | 0.469610 | + | 0.0888844i | ||||
\(217\) | 14.6088 | + | 2.20877i | 0.991710 | + | 0.149941i | ||||
\(218\) | 0.486263 | + | 2.97446i | 0.0329339 | + | 0.201456i | ||||
\(219\) | 2.70575 | + | 2.51057i | 0.182838 | + | 0.169649i | ||||
\(220\) | 3.20494 | − | 2.30400i | 0.216077 | − | 0.155336i | ||||
\(221\) | 1.47320 | − | 9.77407i | 0.0990984 | − | 0.657475i | ||||
\(222\) | 1.40994 | − | 3.72826i | 0.0946290 | − | 0.250224i | ||||
\(223\) | −5.75980 | + | 25.2353i | −0.385705 | + | 1.68988i | 0.293520 | + | 0.955953i | \(0.405173\pi\) |
−0.679225 | + | 0.733930i | \(0.737684\pi\) | |||||||
\(224\) | −6.31759 | − | 13.5679i | −0.422112 | − | 0.906544i | ||||
\(225\) | 3.04250 | + | 13.3301i | 0.202833 | + | 0.888671i | ||||
\(226\) | 22.1237 | + | 3.05350i | 1.47164 | + | 0.203116i | ||||
\(227\) | −9.36752 | + | 5.40834i | −0.621744 | + | 0.358964i | −0.777548 | − | 0.628824i | \(-0.783537\pi\) |
0.155803 | + | 0.987788i | \(0.450203\pi\) | |||||||
\(228\) | −0.324168 | + | 6.49009i | −0.0214685 | + | 0.429816i | ||||
\(229\) | 21.1395 | − | 14.4127i | 1.39694 | − | 0.952417i | 0.397546 | − | 0.917582i | \(-0.369862\pi\) |
0.999393 | − | 0.0348345i | \(-0.0110904\pi\) | |||||||
\(230\) | −0.324753 | + | 1.10131i | −0.0214136 | + | 0.0726180i | ||||
\(231\) | 5.78482 | + | 0.436180i | 0.380613 | + | 0.0286986i | ||||
\(232\) | −4.81920 | + | 1.29099i | −0.316396 | + | 0.0847576i | ||||
\(233\) | −27.6148 | − | 8.51805i | −1.80911 | − | 0.558036i | −0.809530 | − | 0.587079i | \(-0.800278\pi\) |
−0.999578 | + | 0.0290431i | \(0.990754\pi\) | |||||||
\(234\) | 19.5201 | − | 0.242971i | 1.27607 | − | 0.0158835i | ||||
\(235\) | −0.201139 | − | 2.68401i | −0.0131208 | − | 0.175086i | ||||
\(236\) | 4.79484 | − | 10.6253i | 0.312117 | − | 0.691649i | ||||
\(237\) | −5.65555 | + | 2.72357i | −0.367367 | + | 0.176915i | ||||
\(238\) | −4.32731 | − | 6.18633i | −0.280498 | − | 0.401000i | ||||
\(239\) | 5.27589 | − | 10.9555i | 0.341269 | − | 0.708652i | −0.657736 | − | 0.753248i | \(-0.728486\pi\) |
0.999005 | + | 0.0445962i | \(0.0142001\pi\) | |||||||
\(240\) | −0.0653764 | + | 0.652810i | −0.00422003 | + | 0.0421387i | ||||
\(241\) | −3.60944 | − | 11.7015i | −0.232504 | − | 0.753760i | −0.994364 | − | 0.106019i | \(-0.966190\pi\) |
0.761860 | − | 0.647742i | \(-0.224286\pi\) | |||||||
\(242\) | −4.57671 | + | 21.2687i | −0.294202 | + | 1.36721i | ||||
\(243\) | 1.58081 | + | 10.4880i | 0.101409 | + | 0.672806i | ||||
\(244\) | −13.0287 | + | 12.7068i | −0.834078 | + | 0.813471i | ||||
\(245\) | −2.65992 | + | 0.398423i | −0.169936 | + | 0.0254543i | ||||
\(246\) | 0.0774832 | + | 0.190420i | 0.00494015 | + | 0.0121408i | ||||
\(247\) | 5.55724 | + | 36.8699i | 0.353599 | + | 2.34597i | ||||
\(248\) | −8.40262 | − | 13.3745i | −0.533567 | − | 0.849281i | ||||
\(249\) | 4.18306 | − | 1.29030i | 0.265090 | − | 0.0817695i | ||||
\(250\) | −5.09569 | + | 1.64154i | −0.322280 | + | 0.103820i | ||||
\(251\) | −10.8295 | + | 22.4878i | −0.683554 | + | 1.41942i | 0.213254 | + | 0.976997i | \(0.431594\pi\) |
−0.896809 | + | 0.442419i | \(0.854121\pi\) | |||||||
\(252\) | 10.6789 | − | 10.4056i | 0.672710 | − | 0.655489i | ||||
\(253\) | −4.70924 | − | 9.77883i | −0.296067 | − | 0.614790i | ||||
\(254\) | −0.122645 | − | 0.128924i | −0.00769542 | − | 0.00808938i | ||||
\(255\) | 0.0247314 | + | 0.330018i | 0.00154874 | + | 0.0206665i | ||||
\(256\) | −6.58293 | + | 14.5830i | −0.411433 | + | 0.911440i | ||||
\(257\) | −5.46203 | + | 17.7075i | −0.340712 | + | 1.10456i | 0.609455 | + | 0.792821i | \(0.291388\pi\) |
−0.950167 | + | 0.311741i | \(0.899088\pi\) | |||||||
\(258\) | −0.652107 | − | 0.365749i | −0.0405984 | − | 0.0227705i | ||||
\(259\) | −9.83386 | − | 14.4378i | −0.611046 | − | 0.897124i | ||||
\(260\) | 0.374677 | + | 3.74585i | 0.0232365 | + | 0.232308i | ||||
\(261\) | −2.79988 | − | 4.10668i | −0.173308 | − | 0.254197i | ||||
\(262\) | −8.07515 | + | 17.3163i | −0.498884 | + | 1.06980i | ||||
\(263\) | −2.16494 | + | 1.24993i | −0.133496 | + | 0.0770738i | −0.565261 | − | 0.824912i | \(-0.691224\pi\) |
0.431765 | + | 0.901986i | \(0.357891\pi\) | |||||||
\(264\) | −3.68245 | − | 4.99017i | −0.226639 | − | 0.307124i | ||||
\(265\) | 0.397799 | − | 0.0907950i | 0.0244366 | − | 0.00557749i | ||||
\(266\) | 22.4768 | + | 17.4880i | 1.37814 | + | 1.07226i | ||||
\(267\) | −0.768280 | + | 3.36605i | −0.0470180 | + | 0.205999i | ||||
\(268\) | 24.3745 | − | 0.606883i | 1.48891 | − | 0.0370713i | ||||
\(269\) | −1.47755 | − | 0.222704i | −0.0900875 | − | 0.0135785i | 0.103844 | − | 0.994594i | \(-0.466886\pi\) |
−0.193931 | + | 0.981015i | \(0.562124\pi\) | |||||||
\(270\) | −1.31180 | + | 0.316639i | −0.0798339 | + | 0.0192700i | ||||
\(271\) | 11.3679 | + | 10.5479i | 0.690551 | + | 0.640738i | 0.945274 | − | 0.326276i | \(-0.105794\pi\) |
−0.254724 | + | 0.967014i | \(0.581984\pi\) | |||||||
\(272\) | −1.99217 | + | 7.82112i | −0.120793 | + | 0.474225i | ||||
\(273\) | −3.11886 | + | 4.57003i | −0.188762 | + | 0.276591i | ||||
\(274\) | −15.0748 | + | 10.5551i | −0.910704 | + | 0.637655i | ||||
\(275\) | 12.4621 | − | 21.5849i | 0.751491 | − | 1.30162i | ||||
\(276\) | 1.73659 | + | 0.488677i | 0.104531 | + | 0.0294149i | ||||
\(277\) | −6.97315 | − | 7.51527i | −0.418976 | − | 0.451549i | 0.487929 | − | 0.872883i | \(-0.337752\pi\) |
−0.906905 | + | 0.421334i | \(0.861562\pi\) | |||||||
\(278\) | −0.833653 | + | 1.25605i | −0.0499992 | + | 0.0753330i | ||||
\(279\) | 9.81091 | − | 12.3025i | 0.587364 | − | 0.736531i | ||||
\(280\) | 2.17842 | + | 1.87665i | 0.130185 | + | 0.112151i | ||||
\(281\) | −0.171508 | − | 0.215065i | −0.0102313 | − | 0.0128297i | 0.776689 | − | 0.629884i | \(-0.216897\pi\) |
−0.786921 | + | 0.617054i | \(0.788326\pi\) | |||||||
\(282\) | −4.21287 | + | 0.368493i | −0.250873 | + | 0.0219434i | ||||
\(283\) | −9.77234 | − | 3.83536i | −0.580905 | − | 0.227989i | 0.0566487 | − | 0.998394i | \(-0.481958\pi\) |
−0.637554 | + | 0.770406i | \(0.720054\pi\) | |||||||
\(284\) | 1.64570 | − | 1.86465i | 0.0976541 | − | 0.110647i | ||||
\(285\) | −0.456087 | − | 1.16209i | −0.0270163 | − | 0.0688364i | ||||
\(286\) | −26.3854 | − | 23.8779i | −1.56020 | − | 1.41193i | ||||
\(287\) | 0.878291 | + | 0.200888i | 0.0518439 | + | 0.0118580i | ||||
\(288\) | −15.8789 | − | 1.39083i | −0.935675 | − | 0.0819556i | ||||
\(289\) | 0.966173 | − | 12.8927i | 0.0568337 | − | 0.758393i | ||||
\(290\) | 0.741872 | − | 0.606881i | 0.0435642 | − | 0.0356373i | ||||
\(291\) | 0.639690 | + | 0.436134i | 0.0374993 | + | 0.0255666i | ||||
\(292\) | −13.7846 | − | 10.4423i | −0.806685 | − | 0.611091i | ||||
\(293\) | 17.2065 | 1.00522 | 0.502608 | − | 0.864515i | \(-0.332374\pi\) | ||||
0.502608 | + | 0.864515i | \(0.332374\pi\) | |||||||
\(294\) | 0.677972 | + | 4.17116i | 0.0395402 | + | 0.243267i | ||||
\(295\) | 2.23949i | 0.130388i | ||||||||
\(296\) | −4.83449 | + | 18.0382i | −0.280999 | + | 1.04845i | ||||
\(297\) | 7.18595 | − | 10.5399i | 0.416971 | − | 0.611584i | ||||
\(298\) | −24.8865 | + | 20.3582i | −1.44164 | + | 1.17932i | ||||
\(299\) | 10.3226 | + | 0.773571i | 0.596971 | + | 0.0447368i | ||||
\(300\) | 1.31926 | + | 3.92709i | 0.0761673 | + | 0.226730i | ||||
\(301\) | −2.95288 | + | 1.42036i | −0.170201 | + | 0.0818684i | ||||
\(302\) | −21.5847 | + | 23.8515i | −1.24206 | + | 1.37250i | ||||
\(303\) | 4.45940 | − | 1.75018i | 0.256186 | − | 0.100545i | ||||
\(304\) | −1.51512 | − | 30.4073i | −0.0868979 | − | 1.74398i | ||||
\(305\) | 1.27735 | − | 3.25463i | 0.0731407 | − | 0.186359i | ||||
\(306\) | −8.00987 | + | 0.700611i | −0.457894 | + | 0.0400512i | ||||
\(307\) | 3.63045 | − | 2.89519i | 0.207201 | − | 0.165237i | −0.514391 | − | 0.857556i | \(-0.671982\pi\) |
0.721592 | + | 0.692318i | \(0.243411\pi\) | |||||||
\(308\) | −27.1716 | + | 0.664060i | −1.54825 | + | 0.0378383i | ||||
\(309\) | 3.55549 | + | 2.83541i | 0.202265 | + | 0.161301i | ||||
\(310\) | 2.52824 | + | 1.67802i | 0.143595 | + | 0.0953050i | ||||
\(311\) | −15.5752 | + | 14.4517i | −0.883190 | + | 0.819480i | −0.984502 | − | 0.175374i | \(-0.943886\pi\) |
0.101312 | + | 0.994855i | \(0.467696\pi\) | |||||||
\(312\) | 5.87771 | − | 0.661901i | 0.332760 | − | 0.0374728i | ||||
\(313\) | −17.3612 | − | 10.0235i | −0.981314 | − | 0.566562i | −0.0786471 | − | 0.996903i | \(-0.525060\pi\) |
−0.902666 | + | 0.430341i | \(0.858393\pi\) | |||||||
\(314\) | −16.6350 | + | 11.6474i | −0.938767 | + | 0.657303i | ||||
\(315\) | −1.04773 | + | 2.66597i | −0.0590328 | + | 0.150211i | ||||
\(316\) | 25.0956 | − | 15.3342i | 1.41174 | − | 0.862616i | ||||
\(317\) | −8.52667 | + | 9.18956i | −0.478905 | + | 0.516137i | −0.925576 | − | 0.378561i | \(-0.876419\pi\) |
0.446671 | + | 0.894698i | \(0.352610\pi\) | |||||||
\(318\) | −0.150426 | − | 0.623199i | −0.00843545 | − | 0.0349473i | ||||
\(319\) | −1.35038 | + | 8.95916i | −0.0756065 | + | 0.501617i | ||||
\(320\) | 0.000369973 | − | 3.07382i | 2.06821e−5 | − | 0.171832i | ||||
\(321\) | 3.03394 | + | 0.692477i | 0.169338 | + | 0.0386503i | ||||
\(322\) | 6.12188 | − | 5.00326i | 0.341159 | − | 0.278821i | ||||
\(323\) | −3.41732 | − | 14.9723i | −0.190145 | − | 0.833079i | ||||
\(324\) | −3.64806 | − | 14.3292i | −0.202670 | − | 0.796069i | ||||
\(325\) | 11.8855 | + | 20.5863i | 0.659290 | + | 1.14192i | ||||
\(326\) | −6.48771 | − | 3.02543i | −0.359321 | − | 0.167563i | ||||
\(327\) | −0.751677 | + | 0.512485i | −0.0415678 | + | 0.0283405i | ||||
\(328\) | −0.450012 | − | 0.851589i | −0.0248478 | − | 0.0470211i | ||||
\(329\) | −9.27419 | + | 16.0464i | −0.511302 | + | 0.884665i | ||||
\(330\) | 1.03916 | + | 0.582836i | 0.0572038 | + | 0.0320841i | ||||
\(331\) | 8.26955 | + | 2.55082i | 0.454535 | + | 0.140206i | 0.513565 | − | 0.858051i | \(-0.328324\pi\) |
−0.0590297 | + | 0.998256i | \(0.518801\pi\) | |||||||
\(332\) | −18.8993 | + | 7.96583i | −1.03723 | + | 0.437182i | ||||
\(333\) | −18.5525 | + | 1.39032i | −1.01667 | + | 0.0761888i | ||||
\(334\) | −22.3356 | + | 21.2478i | −1.22215 | + | 1.16263i | ||||
\(335\) | −4.22025 | + | 2.03236i | −0.230577 | + | 0.111040i | ||||
\(336\) | 2.90577 | − | 3.45917i | 0.158523 | − | 0.188713i | ||||
\(337\) | 8.20702 | + | 3.95229i | 0.447065 | + | 0.215295i | 0.643850 | − | 0.765151i | \(-0.277336\pi\) |
−0.196785 | + | 0.980447i | \(0.563050\pi\) | |||||||
\(338\) | 14.8053 | − | 4.76943i | 0.805302 | − | 0.259423i | ||||
\(339\) | 1.98704 | + | 6.44183i | 0.107921 | + | 0.349872i | ||||
\(340\) | −0.269184 | − | 1.52697i | −0.0145985 | − | 0.0828118i | ||||
\(341\) | −28.3637 | + | 4.27513i | −1.53598 | + | 0.231511i | ||||
\(342\) | 28.0936 | − | 11.4315i | 1.51913 | − | 0.618142i | ||||
\(343\) | 16.6751 | + | 8.05859i | 0.900371 | + | 0.435123i | ||||
\(344\) | 3.21060 | + | 1.40100i | 0.173104 | + | 0.0755370i | ||||
\(345\) | −0.342710 | + | 0.0516552i | −0.0184509 | + | 0.00278102i | ||||
\(346\) | 1.95953 | − | 9.10626i | 0.105345 | − | 0.489556i | ||||
\(347\) | −20.3717 | + | 6.28384i | −1.09361 | + | 0.337334i | −0.788532 | − | 0.614994i | \(-0.789159\pi\) |
−0.305078 | + | 0.952327i | \(0.598682\pi\) | |||||||
\(348\) | −0.967969 | − | 1.15367i | −0.0518886 | − | 0.0618434i | ||||
\(349\) | −15.2170 | − | 7.32813i | −0.814548 | − | 0.392266i | −0.0202508 | − | 0.999795i | \(-0.506446\pi\) |
−0.794297 | + | 0.607529i | \(0.792161\pi\) | |||||||
\(350\) | 17.4122 | + | 5.14318i | 0.930721 | + | 0.274915i | ||||
\(351\) | 5.27874 | + | 10.9614i | 0.281758 | + | 0.585077i | ||||
\(352\) | 19.4941 | + | 21.5465i | 1.03904 | + | 1.14843i | ||||
\(353\) | 35.5599 | − | 2.66485i | 1.89266 | − | 0.141836i | 0.922768 | − | 0.385355i | \(-0.125921\pi\) |
0.969896 | + | 0.243520i | \(0.0783021\pi\) | |||||||
\(354\) | 3.51842 | − | 0.0437945i | 0.187002 | − | 0.00232765i | ||||
\(355\) | −0.140831 | + | 0.456562i | −0.00747452 | + | 0.0242318i | ||||
\(356\) | 2.01204 | − | 16.0504i | 0.106638 | − | 0.850672i | ||||
\(357\) | 1.14033 | − | 1.97301i | 0.0603524 | − | 0.104423i | ||||
\(358\) | −11.0195 | − | 3.24944i | −0.582401 | − | 0.171738i | ||||
\(359\) | 0.318286 | + | 0.466840i | 0.0167985 | + | 0.0246389i | 0.834546 | − | 0.550938i | \(-0.185730\pi\) |
−0.817748 | + | 0.575577i | \(0.804778\pi\) | |||||||
\(360\) | 2.89046 | − | 1.01122i | 0.152341 | − | 0.0532960i | ||||
\(361\) | 19.4655 | + | 33.7153i | 1.02450 | + | 1.77449i | ||||
\(362\) | −14.3117 | − | 1.97529i | −0.752204 | − | 0.103819i | ||||
\(363\) | −6.40227 | + | 1.46128i | −0.336032 | + | 0.0766971i | ||||
\(364\) | 12.4088 | − | 22.7593i | 0.650397 | − | 1.19291i | ||||
\(365\) | 3.23898 | + | 0.739276i | 0.169536 | + | 0.0386955i | ||||
\(366\) | −5.13827 | − | 1.94317i | −0.268581 | − | 0.101571i | ||||
\(367\) | −3.27051 | − | 0.492949i | −0.170719 | − | 0.0257318i | 0.0631264 | − | 0.998006i | \(-0.479893\pi\) |
−0.233845 | + | 0.972274i | \(0.575131\pi\) | |||||||
\(368\) | −8.32369 | − | 1.46838i | −0.433902 | − | 0.0765446i | ||||
\(369\) | 0.652661 | − | 0.703401i | 0.0339762 | − | 0.0366176i | ||||
\(370\) | −0.578831 | − | 3.54069i | −0.0300920 | − | 0.184072i | ||||
\(371\) | −2.61496 | − | 1.02768i | −0.135762 | − | 0.0533544i | ||||
\(372\) | 2.58686 | − | 4.00489i | 0.134123 | − | 0.207644i | ||||
\(373\) | 3.08300 | + | 1.77997i | 0.159632 | + | 0.0921635i | 0.577688 | − | 0.816258i | \(-0.303955\pi\) |
−0.418056 | + | 0.908421i | \(0.637288\pi\) | |||||||
\(374\) | 11.5720 | + | 8.99506i | 0.598376 | + | 0.465124i | ||||
\(375\) | −1.09914 | − | 1.18459i | −0.0567595 | − | 0.0611721i | ||||
\(376\) | 19.4681 | − | 3.68235i | 1.00399 | − | 0.189903i | ||||
\(377\) | −6.75595 | − | 5.38769i | −0.347949 | − | 0.277480i | ||||
\(378\) | 8.69010 | + | 3.29095i | 0.446971 | + | 0.169268i | ||||
\(379\) | 9.06638 | + | 11.3689i | 0.465709 | + | 0.583980i | 0.958114 | − | 0.286386i | \(-0.0924538\pi\) |
−0.492406 | + | 0.870366i | \(0.663882\pi\) | |||||||
\(380\) | 2.66812 | + | 5.20487i | 0.136872 | + | 0.267004i | ||||
\(381\) | 0.0196230 | − | 0.0499986i | 0.00100532 | − | 0.00256151i | ||||
\(382\) | 11.6132 | + | 23.3665i | 0.594183 | + | 1.19554i | ||||
\(383\) | 8.92200 | + | 22.7329i | 0.455893 | + | 1.16160i | 0.955407 | + | 0.295291i | \(0.0954166\pi\) |
−0.499514 | + | 0.866306i | \(0.666488\pi\) | |||||||
\(384\) | −4.82923 | + | 0.0595291i | −0.246441 | + | 0.00303783i | ||||
\(385\) | 4.70554 | − | 2.26341i | 0.239816 | − | 0.115354i | ||||
\(386\) | 1.09114 | − | 17.4767i | 0.0555377 | − | 0.889540i | ||||
\(387\) | −0.260791 | + | 3.48002i | −0.0132568 | + | 0.176899i | ||||
\(388\) | −3.18554 | − | 1.73492i | −0.161721 | − | 0.0880771i | ||||
\(389\) | −0.269271 | + | 0.394949i | −0.0136526 | + | 0.0200247i | −0.833004 | − | 0.553266i | \(-0.813381\pi\) |
0.819352 | + | 0.573291i | \(0.194334\pi\) | |||||||
\(390\) | −0.976940 | + | 0.580367i | −0.0494693 | + | 0.0293880i | ||||
\(391\) | −4.26353 | −0.215616 | ||||||||
\(392\) | −5.10566 | − | 19.1294i | −0.257875 | − | 0.966178i | ||||
\(393\) | −5.76732 | −0.290923 | ||||||||
\(394\) | −11.1734 | + | 6.63775i | −0.562908 | + | 0.334405i | ||||
\(395\) | −3.18275 | + | 4.66824i | −0.160142 | + | 0.234884i | ||||
\(396\) | −13.8450 | + | 25.4213i | −0.695738 | + | 1.27747i | ||||
\(397\) | 1.91518 | − | 25.5563i | 0.0961203 | − | 1.28264i | −0.715567 | − | 0.698544i | \(-0.753832\pi\) |
0.811688 | − | 0.584092i | \(-0.198549\pi\) | |||||||
\(398\) | −0.585218 | + | 9.37336i | −0.0293343 | + | 0.469844i | ||||
\(399\) | −1.91669 | + | 8.37987i | −0.0959548 | + | 0.419518i | ||||
\(400\) | −7.98145 | − | 17.6925i | −0.399072 | − | 0.884625i | ||||
\(401\) | −10.9978 | − | 28.0218i | −0.549201 | − | 1.39934i | −0.888593 | − | 0.458697i | \(-0.848316\pi\) |
0.339391 | − | 0.940645i | \(-0.389779\pi\) | |||||||
\(402\) | 3.27554 | + | 6.59062i | 0.163369 | + | 0.328710i | ||||
\(403\) | 9.99462 | − | 25.4659i | 0.497868 | − | 1.26855i | ||||
\(404\) | −19.9731 | + | 10.2386i | −0.993700 | + | 0.509390i | ||||
\(405\) | 1.77112 | + | 2.22091i | 0.0880077 | + | 0.110358i | ||||
\(406\) | −6.57514 | + | 0.572080i | −0.326319 | + | 0.0283918i | ||||
\(407\) | 26.5150 | + | 21.1450i | 1.31430 | + | 1.04812i | ||||
\(408\) | −2.39374 | + | 0.452771i | −0.118508 | + | 0.0224155i | ||||
\(409\) | 21.3926 | + | 23.0558i | 1.05780 | + | 1.14003i | 0.989817 | + | 0.142347i | \(0.0454649\pi\) |
0.0679799 | + | 0.997687i | \(0.478345\pi\) | |||||||
\(410\) | 0.146095 | + | 0.113561i | 0.00721510 | + | 0.00560837i | ||||
\(411\) | −4.81065 | − | 2.77743i | −0.237292 | − | 0.137000i | ||||
\(412\) | −17.8975 | − | 11.5604i | −0.881745 | − | 0.569541i | ||||
\(413\) | 8.69274 | − | 12.7374i | 0.427742 | − | 0.626764i | ||||
\(414\) | −1.35853 | − | 8.31007i | −0.0667680 | − | 0.408417i | ||||
\(415\) | 2.67998 | − | 2.88833i | 0.131555 | − | 0.141783i | ||||
\(416\) | −27.0926 | + | 5.82652i | −1.32833 | + | 0.285668i | ||||
\(417\) | −0.449965 | − | 0.0678213i | −0.0220349 | − | 0.00332122i | ||||
\(418\) | −51.7143 | − | 19.5571i | −2.52943 | − | 0.956570i | ||||
\(419\) | 15.4029 | + | 3.51561i | 0.752480 | + | 0.171749i | 0.581523 | − | 0.813530i | \(-0.302457\pi\) |
0.170957 | + | 0.985278i | \(0.445314\pi\) | |||||||
\(420\) | −0.235481 | + | 0.835350i | −0.0114903 | + | 0.0407609i | ||||
\(421\) | −7.66198 | + | 1.74880i | −0.373422 | + | 0.0852311i | −0.405113 | − | 0.914267i | \(-0.632768\pi\) |
0.0316912 | + | 0.999498i | \(0.489911\pi\) | |||||||
\(422\) | −8.26845 | − | 1.14121i | −0.402502 | − | 0.0555532i | ||||
\(423\) | 9.86934 | + | 17.0942i | 0.479864 | + | 0.831148i | ||||
\(424\) | 0.991869 | + | 2.83515i | 0.0481694 | + | 0.137687i | ||||
\(425\) | −5.51529 | − | 8.08944i | −0.267531 | − | 0.392396i | ||||
\(426\) | 0.720051 | + | 0.212328i | 0.0348866 | + | 0.0102873i | ||||
\(427\) | −19.8981 | + | 13.5530i | −0.962939 | + | 0.655874i | ||||
\(428\) | −14.4668 | − | 1.81352i | −0.699280 | − | 0.0876597i | ||||
\(429\) | 3.16612 | − | 10.2643i | 0.152862 | − | 0.495566i | ||||
\(430\) | −0.672916 | + | 0.00837593i | −0.0324509 | + | 0.000403923i | ||||
\(431\) | 19.4638 | − | 1.45861i | 0.937537 | − | 0.0702587i | 0.402810 | − | 0.915284i | \(-0.368033\pi\) |
0.534727 | + | 0.845025i | \(0.320414\pi\) | |||||||
\(432\) | −3.39687 | − | 9.33515i | −0.163432 | − | 0.449137i | ||||
\(433\) | −12.6396 | − | 26.2463i | −0.607418 | − | 1.26132i | −0.947149 | − | 0.320794i | \(-0.896050\pi\) |
0.339731 | − | 0.940523i | \(-0.389664\pi\) | |||||||
\(434\) | −7.86634 | − | 19.3575i | −0.377596 | − | 0.929189i | ||||
\(435\) | 0.260665 | + | 0.125530i | 0.0124979 | + | 0.00601868i | ||||
\(436\) | 3.26527 | − | 2.73966i | 0.156378 | − | 0.131206i | ||||
\(437\) | 15.3685 | − | 4.74054i | 0.735173 | − | 0.226771i | ||||
\(438\) | 1.09812 | − | 5.10316i | 0.0524704 | − | 0.243839i | ||||
\(439\) | −10.8913 | + | 1.64159i | −0.519811 | + | 0.0783490i | −0.403707 | − | 0.914888i | \(-0.632279\pi\) |
−0.116104 | + | 0.993237i | \(0.537041\pi\) | |||||||
\(440\) | −5.11623 | − | 2.23255i | −0.243907 | − | 0.106433i | ||||
\(441\) | 16.3073 | − | 11.0962i | 0.776536 | − | 0.528391i | ||||
\(442\) | −12.9479 | + | 5.26857i | −0.615868 | + | 0.250600i | ||||
\(443\) | −19.9084 | + | 3.00071i | −0.945879 | + | 0.142568i | −0.603829 | − | 0.797114i | \(-0.706359\pi\) |
−0.342049 | + | 0.939682i | \(0.611121\pi\) | |||||||
\(444\) | −5.55140 | + | 0.978631i | −0.263458 | + | 0.0464438i | ||||
\(445\) | 0.915994 | + | 2.96958i | 0.0434223 | + | 0.140772i | ||||
\(446\) | 34.8426 | − | 11.2243i | 1.64985 | − | 0.531487i | ||||
\(447\) | −8.74414 | − | 4.21096i | −0.413584 | − | 0.199171i | ||||
\(448\) | −11.9334 | + | 17.4813i | −0.563798 | + | 0.825913i | ||||
\(449\) | −6.57812 | + | 3.16786i | −0.310441 | + | 0.149500i | −0.582617 | − | 0.812747i | \(-0.697971\pi\) |
0.272176 | + | 0.962248i | \(0.412257\pi\) | |||||||
\(450\) | 14.0098 | − | 13.3275i | 0.660427 | − | 0.628263i | ||||
\(451\) | −1.74427 | + | 0.130715i | −0.0821342 | + | 0.00615511i | ||||
\(452\) | −12.2672 | − | 29.1046i | −0.577002 | − | 1.36896i | ||||
\(453\) | −9.27858 | − | 2.86206i | −0.435946 | − | 0.134471i | ||||
\(454\) | 13.3418 | + | 7.48307i | 0.626164 | + | 0.351198i | ||||
\(455\) | −0.374435 | + | 4.96593i | −0.0175538 | + | 0.232806i | ||||
\(456\) | 8.12511 | − | 4.29362i | 0.380493 | − | 0.201067i | ||||
\(457\) | 1.46679 | − | 1.00004i | 0.0686137 | − | 0.0467800i | −0.528527 | − | 0.848916i | \(-0.677256\pi\) |
0.597141 | + | 0.802136i | \(0.296303\pi\) | |||||||
\(458\) | −32.7926 | − | 15.2923i | −1.53230 | − | 0.714560i | ||||
\(459\) | −2.50549 | − | 4.33963i | −0.116946 | − | 0.202556i | ||||
\(460\) | 1.57359 | − | 0.400618i | 0.0733690 | − | 0.0186789i | ||||
\(461\) | 2.51018 | + | 10.9978i | 0.116911 | + | 0.512218i | 0.999143 | + | 0.0414035i | \(0.0131829\pi\) |
−0.882232 | + | 0.470815i | \(0.843960\pi\) | |||||||
\(462\) | −3.64802 | − | 7.34852i | −0.169721 | − | 0.341884i | ||||
\(463\) | −6.42102 | − | 1.46555i | −0.298410 | − | 0.0681101i | 0.0706946 | − | 0.997498i | \(-0.477478\pi\) |
−0.369105 | + | 0.929388i | \(0.620336\pi\) | |||||||
\(464\) | 5.05053 | + | 4.92694i | 0.234465 | + | 0.228727i | ||||
\(465\) | −0.136514 | + | 0.905711i | −0.00633068 | + | 0.0420013i | ||||
\(466\) | 9.58941 | + | 39.7280i | 0.444221 | + | 1.84036i | ||||
\(467\) | 25.9155 | − | 27.9302i | 1.19922 | − | 1.29246i | 0.253558 | − | 0.967320i | \(-0.418399\pi\) |
0.945667 | − | 0.325137i | \(-0.105410\pi\) | |||||||
\(468\) | −14.3947 | − | 23.5580i | −0.665394 | − | 1.08897i | ||||
\(469\) | 31.8920 | + | 4.82190i | 1.47263 | + | 0.222654i | ||||
\(470\) | −3.11807 | + | 2.18320i | −0.143826 | + | 0.100704i | ||||
\(471\) | −5.30852 | − | 3.06487i | −0.244604 | − | 0.141222i | ||||
\(472\) | −16.3821 | + | 1.84482i | −0.754046 | + | 0.0849146i | ||||
\(473\) | 4.66329 | − | 4.32690i | 0.214418 | − | 0.198951i | ||||
\(474\) | 7.39643 | + | 4.90907i | 0.339729 | + | 0.225481i | ||||
\(475\) | 28.8750 | + | 23.0271i | 1.32488 | + | 1.05656i | ||||
\(476\) | −4.39605 | + | 9.72971i | −0.201493 | + | 0.445961i | ||||
\(477\) | −2.33950 | + | 1.86569i | −0.107118 | + | 0.0854239i | ||||
\(478\) | −17.1310 | + | 1.49842i | −0.783553 | + | 0.0685362i | ||||
\(479\) | 11.6457 | − | 29.6727i | 0.532104 | − | 1.35578i | −0.371907 | − | 0.928270i | \(-0.621296\pi\) |
0.904011 | − | 0.427509i | \(-0.140609\pi\) | |||||||
\(480\) | 0.840940 | − | 0.392034i | 0.0383835 | − | 0.0178938i | ||||
\(481\) | −30.1090 | + | 11.8169i | −1.37285 | + | 0.538805i | ||||
\(482\) | −11.6202 | + | 12.8405i | −0.529285 | + | 0.584868i | ||||
\(483\) | 2.14971 | + | 1.03646i | 0.0978151 | + | 0.0471605i | ||||
\(484\) | 29.1653 | − | 9.79772i | 1.32570 | − | 0.445351i | ||||
\(485\) | 0.694913 | + | 0.0520765i | 0.0315544 | + | 0.00236467i | ||||
\(486\) | 11.6100 | − | 9.49747i | 0.526641 | − | 0.430814i | ||||
\(487\) | −18.6319 | + | 27.3280i | −0.844292 | + | 1.23835i | 0.124931 | + | 0.992165i | \(0.460129\pi\) |
−0.969223 | + | 0.246184i | \(0.920823\pi\) | |||||||
\(488\) | 24.8602 | + | 6.66286i | 1.12537 | + | 0.301614i | ||||
\(489\) | − | 2.16078i | − | 0.0977138i | ||||||
\(490\) | 2.40567 | + | 2.94628i | 0.108677 | + | 0.133099i | ||||
\(491\) | −13.4553 | −0.607230 | −0.303615 | − | 0.952795i | \(-0.598194\pi\) | ||||
−0.303615 | + | 0.952795i | \(0.598194\pi\) | |||||||
\(492\) | 0.175557 | − | 0.231748i | 0.00791470 | − | 0.0104480i | ||||
\(493\) | 2.94065 | + | 2.00490i | 0.132440 | + | 0.0902963i | ||||
\(494\) | 40.8143 | − | 33.3877i | 1.83632 | − | 1.50218i | ||||
\(495\) | 0.415581 | − | 5.54555i | 0.0186790 | − | 0.249254i | ||||
\(496\) | −10.1922 | + | 19.8767i | −0.457642 | + | 0.892488i | ||||
\(497\) | 2.57317 | − | 2.05011i | 0.115423 | − | 0.0919599i | ||||
\(498\) | −4.59021 | − | 4.15399i | −0.205692 | − | 0.186145i | ||||
\(499\) | 6.94117 | + | 17.6858i | 0.310730 | + | 0.791726i | 0.997872 | + | 0.0652033i | \(0.0207696\pi\) |
−0.687142 | + | 0.726523i | \(0.741135\pi\) | |||||||
\(500\) | 5.67646 | + | 5.00992i | 0.253859 | + | 0.224050i | ||||
\(501\) | −8.66209 | − | 3.39962i | −0.386994 | − | 0.151884i | ||||
\(502\) | 35.1639 | − | 3.07573i | 1.56944 | − | 0.137276i | ||||
\(503\) | −11.9198 | − | 14.9470i | −0.531479 | − | 0.666453i | 0.441523 | − | 0.897250i | \(-0.354438\pi\) |
−0.973002 | + | 0.230796i | \(0.925867\pi\) | |||||||
\(504\) | −20.3650 | − | 5.46810i | −0.907127 | − | 0.243568i | ||||
\(505\) | 2.68842 | − | 3.37117i | 0.119633 | − | 0.150015i | ||||
\(506\) | −8.48812 | + | 12.7889i | −0.377343 | + | 0.568537i | ||||
\(507\) | 3.19351 | + | 3.44178i | 0.141829 | + | 0.152855i | ||||
\(508\) | −0.0681658 | + | 0.242238i | −0.00302437 | + | 0.0107476i | ||||
\(509\) | −13.2403 | + | 22.9329i | −0.586867 | + | 1.01648i | 0.407773 | + | 0.913083i | \(0.366306\pi\) |
−0.994640 | + | 0.103400i | \(0.967028\pi\) | |||||||
\(510\) | 0.383388 | − | 0.268440i | 0.0169767 | − | 0.0118867i | ||||
\(511\) | −15.5525 | − | 16.7771i | −0.688004 | − | 0.742174i | ||||
\(512\) | 22.4856 | − | 2.52941i | 0.993732 | − | 0.111785i | ||||
\(513\) | 13.8565 | + | 12.8569i | 0.611779 | + | 0.567648i | ||||
\(514\) | 25.4748 | − | 6.14902i | 1.12365 | − | 0.271222i | ||||
\(515\) | 4.04753 | + | 0.610067i | 0.178356 | + | 0.0268828i | ||||
\(516\) | 0.0263186 | + | 1.05704i | 0.00115861 | + | 0.0465337i | ||||
\(517\) | 8.00662 | − | 35.0793i | 0.352131 | − | 1.54279i | ||||
\(518\) | −10.4513 | + | 22.3849i | −0.459203 | + | 0.983535i | ||||
\(519\) | 2.74115 | − | 0.625649i | 0.120323 | − | 0.0274629i | ||||
\(520\) | 4.28376 | − | 3.16116i | 0.187855 | − | 0.138626i | ||||
\(521\) | −4.73371 | + | 2.73301i | −0.207388 | + | 0.119735i | −0.600097 | − | 0.799927i | \(-0.704871\pi\) |
0.392709 | + | 0.919663i | \(0.371538\pi\) | |||||||
\(522\) | −2.97075 | + | 6.37047i | −0.130026 | + | 0.278828i | ||||
\(523\) | 12.6472 | + | 18.5501i | 0.553025 | + | 0.811139i | 0.996363 | − | 0.0852160i | \(-0.0271580\pi\) |
−0.443337 | + | 0.896355i | \(0.646206\pi\) | |||||||
\(524\) | 26.8866 | − | 2.68933i | 1.17455 | − | 0.117484i | ||||
\(525\) | 0.814319 | + | 5.41952i | 0.0355398 | + | 0.236527i | ||||
\(526\) | 3.08345 | + | 1.72942i | 0.134445 | + | 0.0754063i | ||||
\(527\) | −3.32120 | + | 10.7670i | −0.144674 | + | 0.469020i | ||||
\(528\) | −3.40748 | + | 8.08168i | −0.148291 | + | 0.351710i | ||||
\(529\) | 1.38512 | + | 18.4832i | 0.0602227 | + | 0.803616i | ||||
\(530\) | −0.397721 | − | 0.418083i | −0.0172759 | − | 0.0181603i | ||||
\(531\) | −7.12590 | − | 14.7971i | −0.309238 | − | 0.642139i | ||||
\(532\) | 5.02786 | − | 39.9599i | 0.217985 | − | 1.73248i | ||||
\(533\) | 0.723819 | − | 1.50302i | 0.0313521 | − | 0.0651032i | ||||
\(534\) | 4.64754 | − | 1.49717i | 0.201119 | − | 0.0647890i | ||||
\(535\) | 2.67658 | − | 0.825617i | 0.115719 | − | 0.0356945i | ||||
\(536\) | −18.3435 | − | 29.1974i | −0.792317 | − | 1.26113i | ||||
\(537\) | −0.516856 | − | 3.42911i | −0.0223040 | − | 0.147977i | ||||
\(538\) | 0.796450 | + | 1.95733i | 0.0343374 | + | 0.0843865i | ||||
\(539\) | −35.5489 | − | 5.39148i | −1.53120 | − | 0.232228i | ||||
\(540\) | 1.33250 | + | 1.36625i | 0.0573415 | + | 0.0587940i | ||||
\(541\) | 4.95705 | + | 32.8879i | 0.213120 | + | 1.41396i | 0.797910 | + | 0.602777i | \(0.205939\pi\) |
−0.584790 | + | 0.811185i | \(0.698823\pi\) | |||||||
\(542\) | 4.61364 | − | 21.4403i | 0.198173 | − | 0.920941i | ||||
\(543\) | −1.28540 | − | 4.16718i | −0.0551620 | − | 0.178831i | ||||
\(544\) | 10.9482 | − | 3.22698i | 0.469402 | − | 0.138356i | ||||
\(545\) | −0.355289 | + | 0.737765i | −0.0152189 | + | 0.0316024i | ||||
\(546\) | 7.80920 | + | 0.491156i | 0.334203 | + | 0.0210195i | ||||
\(547\) | 15.2783 | − | 7.35763i | 0.653252 | − | 0.314589i | −0.0777423 | − | 0.996973i | \(-0.524771\pi\) |
0.730994 | + | 0.682384i | \(0.239057\pi\) | |||||||
\(548\) | 23.7219 | + | 10.7049i | 1.01335 | + | 0.457289i | ||||
\(549\) | 1.91613 | + | 25.5689i | 0.0817782 | + | 1.09125i | ||||
\(550\) | −35.2453 | + | 0.438706i | −1.50287 | + | 0.0187065i | ||||
\(551\) | −12.8292 | − | 3.95727i | −0.546541 | − | 0.168585i | ||||
\(552\) | −0.660177 | − | 2.46441i | −0.0280990 | − | 0.104892i | ||||
\(553\) | 36.2224 | − | 14.1971i | 1.54033 | − | 0.603721i | ||||
\(554\) | −4.10076 | + | 13.9066i | −0.174225 | + | 0.590833i | ||||
\(555\) | 0.894770 | − | 0.610044i | 0.0379809 | − | 0.0258949i | ||||
\(556\) | 2.12931 | + | 0.106355i | 0.0903031 | + | 0.00451047i | ||||
\(557\) | −20.8919 | + | 12.0619i | −0.885216 | + | 0.511080i | −0.872375 | − | 0.488838i | \(-0.837421\pi\) |
−0.0128415 | + | 0.999918i | \(0.504088\pi\) | |||||||
\(558\) | −22.0443 | − | 3.04255i | −0.933212 | − | 0.128801i | ||||
\(559\) | 1.35007 | + | 5.91504i | 0.0571019 | + | 0.250180i | ||||
\(560\) | 0.708259 | − | 4.00412i | 0.0299294 | − | 0.169205i | ||||
\(561\) | −0.984470 | + | 4.31324i | −0.0415643 | + | 0.182105i | ||||
\(562\) | −0.137607 | + | 0.363869i | −0.00580458 | + | 0.0153489i | ||||
\(563\) | 1.77473 | − | 11.7746i | 0.0747960 | − | 0.496239i | −0.919797 | − | 0.392393i | \(-0.871647\pi\) |
0.994593 | − | 0.103845i | \(-0.0331147\pi\) | |||||||
\(564\) | 3.49097 | + | 4.85605i | 0.146996 | + | 0.204477i | ||||
\(565\) | 4.44798 | + | 4.12712i | 0.187128 | + | 0.173629i | ||||
\(566\) | 2.39530 | + | 14.6520i | 0.100682 | + | 0.615868i | ||||
\(567\) | −1.45281 | − | 19.5065i | −0.0610124 | − | 0.819194i | ||||
\(568\) | −3.45581 | − | 0.654090i | −0.145003 | − | 0.0274450i | ||||
\(569\) | 20.5936 | − | 35.6691i | 0.863328 | − | 1.49533i | −0.00537005 | − | 0.999986i | \(-0.501709\pi\) |
0.868698 | − | 0.495342i | \(-0.164957\pi\) | |||||||
\(570\) | −1.08350 | + | 1.39391i | −0.0453828 | + | 0.0583843i | ||||
\(571\) | 11.6000 | − | 10.7632i | 0.485445 | − | 0.450427i | −0.399083 | − | 0.916915i | \(-0.630671\pi\) |
0.884528 | + | 0.466488i | \(0.154481\pi\) | |||||||
\(572\) | −9.97384 | + | 49.3275i | −0.417027 | + | 2.06249i | ||||
\(573\) | −4.91077 | + | 6.15791i | −0.205150 | + | 0.257250i | ||||
\(574\) | −0.390136 | − | 1.21297i | −0.0162840 | − | 0.0506284i | ||||
\(575\) | 8.01637 | − | 6.39284i | 0.334306 | − | 0.266600i | ||||
\(576\) | 9.77824 | + | 20.3110i | 0.407427 | + | 0.846291i | ||||
\(577\) | −18.6331 | − | 7.31295i | −0.775705 | − | 0.304442i | −0.0557340 | − | 0.998446i | \(-0.517750\pi\) |
−0.719971 | + | 0.694004i | \(0.755845\pi\) | |||||||
\(578\) | −16.3734 | + | 8.13761i | −0.681045 | + | 0.338480i | ||||
\(579\) | 4.92023 | − | 1.93105i | 0.204478 | − | 0.0802517i | ||||
\(580\) | −1.27373 | − | 0.463657i | −0.0528886 | − | 0.0192523i | ||||
\(581\) | −26.4540 | + | 6.02519i | −1.09750 | + | 0.249967i | ||||
\(582\) | 0.0682271 | − | 1.09278i | 0.00282810 | − | 0.0452974i | ||||
\(583\) | 5.43943 | + | 0.407629i | 0.225278 | + | 0.0168823i | ||||
\(584\) | −2.73971 | + | 24.3025i | −0.113370 | + | 1.00564i | ||||
\(585\) | 4.38222 | + | 2.98775i | 0.181182 | + | 0.123528i | ||||
\(586\) | −12.4282 | − | 20.9205i | −0.513404 | − | 0.864219i | ||||
\(587\) | 12.9851i | 0.535954i | 0.963425 | + | 0.267977i | \(0.0863551\pi\) | ||||
−0.963425 | + | 0.267977i | \(0.913645\pi\) | |||||||
\(588\) | 4.58180 | − | 3.83712i | 0.188950 | − | 0.158240i | ||||
\(589\) | − | 42.5040i | − | 1.75135i | ||||||
\(590\) | 2.72288 | − | 1.61757i | 0.112099 | − | 0.0665944i | ||||
\(591\) | −3.24129 | − | 2.20987i | −0.133329 | − | 0.0909020i | ||||
\(592\) | 25.4237 | − | 7.15091i | 1.04491 | − | 0.293901i | ||||
\(593\) | −1.05587 | − | 0.0791264i | −0.0433593 | − | 0.00324933i | 0.0530328 | − | 0.998593i | \(-0.483111\pi\) |
−0.0963921 | + | 0.995343i | \(0.530730\pi\) | |||||||
\(594\) | −18.0053 | − | 1.12414i | −0.738764 | − | 0.0461242i | ||||
\(595\) | 0.000940551 | − | 2.05114i | 3.85588e−5 | − | 0.0840887i | ||||
\(596\) | 42.7279 | + | 15.5536i | 1.75020 | + | 0.637101i | ||||
\(597\) | −2.63889 | + | 1.03569i | −0.108003 | + | 0.0423879i | ||||
\(598\) | −6.51541 | − | 13.1095i | −0.266435 | − | 0.536086i | ||||
\(599\) | 21.6363 | + | 8.49161i | 0.884034 | + | 0.346958i | 0.763543 | − | 0.645757i | \(-0.223458\pi\) |
0.120491 | + | 0.992714i | \(0.461553\pi\) | |||||||
\(600\) | 3.82185 | − | 4.44053i | 0.156027 | − | 0.181284i | ||||
\(601\) | −4.66643 | + | 3.72135i | −0.190348 | + | 0.151797i | −0.714027 | − | 0.700118i | \(-0.753131\pi\) |
0.523679 | + | 0.851916i | \(0.324559\pi\) | |||||||
\(602\) | 3.85980 | + | 2.56433i | 0.157314 | + | 0.104514i | ||||
\(603\) | 21.4178 | − | 26.8571i | 0.872202 | − | 1.09371i | ||||
\(604\) | 44.5903 | + | 9.01599i | 1.81436 | + | 0.366856i | ||||
\(605\) | −4.33290 | + | 4.02034i | −0.176157 | + | 0.163450i | ||||
\(606\) | −5.34896 | − | 4.15780i | −0.217287 | − | 0.168899i | ||||
\(607\) | −4.97304 | + | 8.61355i | −0.201849 | + | 0.349613i | −0.949124 | − | 0.314902i | \(-0.898028\pi\) |
0.747275 | + | 0.664515i | \(0.231362\pi\) | |||||||
\(608\) | −35.8763 | + | 23.8052i | −1.45498 | + | 0.965427i | ||||
\(609\) | −0.995310 | − | 1.72576i | −0.0403320 | − | 0.0699311i | ||||
\(610\) | −4.87976 | + | 0.797741i | −0.197576 | + | 0.0322996i | ||||
\(611\) | 25.1560 | + | 23.3413i | 1.01770 | + | 0.944289i | ||||
\(612\) | 6.63733 | + | 9.23274i | 0.268298 | + | 0.373211i | ||||
\(613\) | −0.909794 | + | 6.03609i | −0.0367462 | + | 0.243795i | −0.999662 | − | 0.0260078i | \(-0.991721\pi\) |
0.962916 | + | 0.269803i | \(0.0869586\pi\) | |||||||
\(614\) | −6.14238 | − | 2.32290i | −0.247886 | − | 0.0937447i | ||||
\(615\) | −0.0124287 | + | 0.0544538i | −0.000501175 | + | 0.00219579i | ||||
\(616\) | 20.4333 | + | 32.5570i | 0.823283 | + | 1.31176i | ||||
\(617\) | 2.29313 | + | 10.0469i | 0.0923181 | + | 0.404472i | 0.999881 | − | 0.0154447i | \(-0.00491640\pi\) |
−0.907563 | + | 0.419917i | \(0.862059\pi\) | |||||||
\(618\) | 0.879314 | − | 6.37094i | 0.0353712 | − | 0.256277i | ||||
\(619\) | −35.0425 | + | 20.2318i | −1.40848 | + | 0.813184i | −0.995241 | − | 0.0974405i | \(-0.968934\pi\) |
−0.413235 | + | 0.910625i | \(0.635601\pi\) | |||||||
\(620\) | 0.214077 | − | 4.28599i | 0.00859754 | − | 0.172129i | ||||
\(621\) | 4.33590 | − | 2.95616i | 0.173993 | − | 0.118627i | ||||
\(622\) | 28.8210 | + | 8.49873i | 1.15562 | + | 0.340768i | ||||
\(623\) | 6.31682 | − | 20.4453i | 0.253078 | − | 0.819125i | ||||
\(624\) | −5.05022 | − | 6.66833i | −0.202171 | − | 0.266947i | ||||
\(625\) | 21.7941 | + | 6.72258i | 0.871763 | + | 0.268903i | ||||
\(626\) | 0.352860 | + | 28.3485i | 0.0141031 | + | 1.13304i | ||||
\(627\) | −1.24716 | − | 16.6422i | −0.0498069 | − | 0.664627i | ||||
\(628\) | 26.1769 | + | 11.8127i | 1.04457 | + | 0.471380i | ||||
\(629\) | 12.0028 | − | 5.78022i | 0.478581 | − | 0.230473i | ||||
\(630\) | 3.99819 | − | 0.651741i | 0.159292 | − | 0.0259660i | ||||
\(631\) | 14.6687 | − | 30.4599i | 0.583952 | − | 1.21259i | −0.374471 | − | 0.927239i | \(-0.622176\pi\) |
0.958423 | − | 0.285350i | \(-0.0921100\pi\) | |||||||
\(632\) | −36.7705 | − | 19.4366i | −1.46265 | − | 0.773146i | ||||
\(633\) | −0.742633 | − | 2.40756i | −0.0295170 | − | 0.0956918i | ||||
\(634\) | 17.3319 | + | 3.72956i | 0.688338 | + | 0.148120i | ||||
\(635\) | −0.00720541 | − | 0.0478048i | −0.000285938 | − | 0.00189707i | ||||
\(636\) | −0.649065 | + | 0.633029i | −0.0257371 | + | 0.0251012i | ||||
\(637\) | 21.4053 | − | 26.7909i | 0.848107 | − | 1.06149i | ||||
\(638\) | 11.8684 | − | 4.82931i | 0.469873 | − | 0.191194i | ||||
\(639\) | −0.522232 | − | 3.46478i | −0.0206592 | − | 0.137065i | ||||
\(640\) | −3.73757 | + | 2.21975i | −0.147740 | + | 0.0877435i | ||||
\(641\) | −18.2384 | + | 5.62581i | −0.720375 | + | 0.222206i | −0.633202 | − | 0.773987i | \(-0.718260\pi\) |
−0.0871734 | + | 0.996193i | \(0.527783\pi\) | |||||||
\(642\) | −1.34945 | − | 4.18899i | −0.0532587 | − | 0.165326i | ||||
\(643\) | −5.94328 | + | 12.3414i | −0.234380 | + | 0.486696i | −0.984673 | − | 0.174410i | \(-0.944198\pi\) |
0.750293 | + | 0.661106i | \(0.229912\pi\) | |||||||
\(644\) | −10.5050 | − | 3.82945i | −0.413955 | − | 0.150901i | ||||
\(645\) | −0.0881370 | − | 0.183018i | −0.00347039 | − | 0.00720634i | ||||
\(646\) | −15.7357 | + | 14.9693i | −0.619113 | + | 0.588961i | ||||
\(647\) | 0.773420 | + | 10.3206i | 0.0304063 | + | 0.405744i | 0.991553 | + | 0.129704i | \(0.0414029\pi\) |
−0.961146 | + | 0.276039i | \(0.910978\pi\) | |||||||
\(648\) | −14.7872 | + | 14.7854i | −0.580897 | + | 0.580827i | ||||
\(649\) | −8.82446 | + | 28.6082i | −0.346390 | + | 1.12297i | ||||
\(650\) | 16.4450 | − | 29.3204i | 0.645026 | − | 1.15004i | ||||
\(651\) | 4.29203 | − | 4.62145i | 0.168218 | − | 0.181129i | ||||
\(652\) | 1.00758 | + | 10.0733i | 0.0394599 | + | 0.394502i | ||||
\(653\) | 6.96511 | + | 10.2159i | 0.272566 | + | 0.399781i | 0.937978 | − | 0.346696i | \(-0.112696\pi\) |
−0.665412 | + | 0.746476i | \(0.731744\pi\) | |||||||
\(654\) | 1.16604 | + | 0.543761i | 0.0455957 | + | 0.0212627i | ||||
\(655\) | −4.49559 | + | 2.59553i | −0.175657 | + | 0.101416i | ||||
\(656\) | −0.710362 | + | 1.16225i | −0.0277350 | + | 0.0453781i | ||||
\(657\) | −23.7534 | + | 5.42157i | −0.926710 | + | 0.211515i | ||||
\(658\) | 26.2087 | − | 0.314205i | 1.02172 | − | 0.0122490i | ||||
\(659\) | 7.88442 | − | 34.5439i | 0.307133 | − | 1.34564i | −0.551982 | − | 0.833856i | \(-0.686128\pi\) |
0.859115 | − | 0.511783i | \(-0.171015\pi\) | |||||||
\(660\) | −0.0419397 | − | 1.68444i | −0.00163250 | − | 0.0655668i | ||||
\(661\) | −8.01586 | − | 1.20820i | −0.311781 | − | 0.0469934i | −0.00871201 | − | 0.999962i | \(-0.502773\pi\) |
−0.303069 | + | 0.952969i | \(0.598011\pi\) | |||||||
\(662\) | −2.87165 | − | 11.8970i | −0.111610 | − | 0.462389i | ||||
\(663\) | −3.09310 | − | 2.86998i | −0.120126 | − | 0.111461i | ||||
\(664\) | 23.3361 | + | 17.2250i | 0.905617 | + | 0.668460i | ||||
\(665\) | 2.27724 | + | 7.39466i | 0.0883074 | + | 0.286752i | ||||
\(666\) | 15.0908 | + | 21.5528i | 0.584756 | + | 0.835154i | ||||
\(667\) | −1.86363 | + | 3.22790i | −0.0721600 | + | 0.124985i | ||||
\(668\) | 41.9670 | + | 11.8095i | 1.62375 | + | 0.456923i | ||||
\(669\) | 7.51556 | + | 8.09985i | 0.290568 | + | 0.313158i | ||||
\(670\) | 5.51932 | + | 3.66322i | 0.213230 | + | 0.141522i | ||||
\(671\) | 29.1419 | − | 36.5428i | 1.12501 | − | 1.41072i | ||||
\(672\) | −6.30466 | − | 1.03443i | −0.243207 | − | 0.0399040i | ||||
\(673\) | 4.52560 | + | 5.67492i | 0.174449 | + | 0.218752i | 0.861367 | − | 0.507982i | \(-0.169609\pi\) |
−0.686919 | + | 0.726734i | \(0.741037\pi\) | |||||||
\(674\) | −1.12250 | − | 12.8332i | −0.0432372 | − | 0.494317i | ||||
\(675\) | 11.2178 | + | 4.40266i | 0.431773 | + | 0.169458i | ||||
\(676\) | −16.4927 | − | 14.5561i | −0.634335 | − | 0.559849i | ||||
\(677\) | −13.6555 | − | 34.7936i | −0.524823 | − | 1.33723i | −0.910085 | − | 0.414421i | \(-0.863984\pi\) |
0.385262 | − | 0.922807i | \(-0.374111\pi\) | |||||||
\(678\) | 6.39706 | − | 7.06885i | 0.245678 | − | 0.271477i | ||||
\(679\) | −3.75026 | − | 2.99355i | −0.143922 | − | 0.114882i | ||||
\(680\) | −1.66214 | + | 1.43021i | −0.0637402 | + | 0.0548462i | ||||
\(681\) | −0.345061 | + | 4.60451i | −0.0132228 | + | 0.176445i | ||||
\(682\) | 25.6849 | + | 31.3980i | 0.983524 | + | 1.20229i | ||||
\(683\) | −12.9715 | − | 8.84380i | −0.496340 | − | 0.338399i | 0.289139 | − | 0.957287i | \(-0.406631\pi\) |
−0.785479 | + | 0.618888i | \(0.787583\pi\) | |||||||
\(684\) | −34.1908 | − | 25.9007i | −1.30732 | − | 0.990337i | ||||
\(685\) | −4.99983 | −0.191034 | ||||||||
\(686\) | −2.24633 | − | 26.0951i | −0.0857653 | − | 0.996315i | ||||
\(687\) | − | 10.9218i | − | 0.416694i | ||||||
\(688\) | −0.615597 | − | 4.91555i | −0.0234694 | − | 0.187403i | ||||
\(689\) | −2.93057 | + | 4.29836i | −0.111646 | + | 0.163754i | ||||
\(690\) | 0.310343 | + | 0.379373i | 0.0118145 | + | 0.0144425i | ||||
\(691\) | 12.3634 | + | 0.926512i | 0.470328 | + | 0.0352462i | 0.307786 | − | 0.951456i | \(-0.400412\pi\) |
0.162541 | + | 0.986702i | \(0.448031\pi\) | |||||||
\(692\) | −12.4872 | + | 4.19492i | −0.474692 | + | 0.159467i | ||||
\(693\) | −23.8891 | + | 29.9279i | −0.907473 | + | 1.13687i | ||||
\(694\) | 22.3546 | + | 20.2301i | 0.848568 | + | 0.767925i | ||||
\(695\) | −0.381268 | + | 0.149636i | −0.0144623 | + | 0.00567603i | ||||
\(696\) | −0.703534 | + | 2.01020i | −0.0266674 | + | 0.0761964i | ||||
\(697\) | −0.251027 | + | 0.639605i | −0.00950831 | + | 0.0242268i | ||||
\(698\) | 2.08128 | + | 23.7947i | 0.0787777 | + | 0.900642i | ||||
\(699\) | −9.64490 | + | 7.69155i | −0.364804 | + | 0.290921i | ||||
\(700\) | −6.32341 | − | 24.8855i | −0.239003 | − | 0.940584i | ||||
\(701\) | 33.0047 | + | 26.3204i | 1.24657 | + | 0.994106i | 0.999686 | + | 0.0250611i | \(0.00797803\pi\) |
0.246884 | + | 0.969045i | \(0.420593\pi\) | |||||||
\(702\) | 9.51462 | − | 14.3355i | 0.359106 | − | 0.541060i | ||||
\(703\) | −36.8385 | + | 34.1812i | −1.38939 | + | 1.28917i | ||||
\(704\) | 12.1168 | − | 39.2649i | 0.456668 | − | 1.47985i | ||||
\(705\) | −0.995031 | − | 0.574481i | −0.0374750 | − | 0.0216362i | ||||
\(706\) | −28.9248 | − | 41.3107i | −1.08860 | − | 1.55475i | ||||
\(707\) | −28.3762 | + | 8.73864i | −1.06720 | + | 0.328650i | ||||
\(708\) | −2.59459 | − | 4.24623i | −0.0975105 | − | 0.159583i | ||||
\(709\) | 20.1568 | − | 21.7239i | 0.757006 | − | 0.815858i | −0.230561 | − | 0.973058i | \(-0.574056\pi\) |
0.987567 | + | 0.157200i | \(0.0502467\pi\) | |||||||
\(710\) | 0.656832 | − | 0.158544i | 0.0246505 | − | 0.00595004i | ||||
\(711\) | 6.17554 | − | 40.9720i | 0.231601 | − | 1.53657i | ||||
\(712\) | −20.9682 | + | 9.14683i | −0.785817 | + | 0.342792i | ||||
\(713\) | −11.5042 | − | 2.62576i | −0.430836 | − | 0.0983355i | ||||
\(714\) | −3.22254 | + | 0.0386337i | −0.120600 | + | 0.00144583i | ||||
\(715\) | −2.15139 | − | 9.42586i | −0.0804575 | − | 0.352507i | ||||
\(716\) | 4.00854 | + | 15.7452i | 0.149806 | + | 0.588424i | ||||
\(717\) | −2.59536 | − | 4.49530i | −0.0969256 | − | 0.167880i | ||||
\(718\) | 0.337710 | − | 0.724184i | 0.0126032 | − | 0.0270263i | ||||
\(719\) | −11.4162 | + | 7.78340i | −0.425751 | + | 0.290272i | −0.757178 | − | 0.653209i | \(-0.773422\pi\) |
0.331427 | + | 0.943481i | \(0.392470\pi\) | |||||||
\(720\) | −3.31726 | − | 2.78396i | −0.123627 | − | 0.103752i | ||||
\(721\) | −20.6528 | − | 19.1806i | −0.769150 | − | 0.714324i | ||||
\(722\) | 26.9328 | − | 48.0195i | 1.00234 | − | 1.78710i | ||||
\(723\) | −4.99514 | − | 1.54080i | −0.185771 | − | 0.0573028i | ||||
\(724\) | 7.93559 | + | 18.8276i | 0.294924 | + | 0.699721i | ||||
\(725\) | −8.53526 | + | 0.639629i | −0.316991 | + | 0.0237552i | ||||
\(726\) | 6.40102 | + | 6.72872i | 0.237564 | + | 0.249726i | ||||
\(727\) | −34.8691 | + | 16.7921i | −1.29322 | + | 0.622783i | −0.948754 | − | 0.316015i | \(-0.897655\pi\) |
−0.344468 | + | 0.938798i | \(0.611941\pi\) | |||||||
\(728\) | −36.6347 | + | 1.35174i | −1.35777 | + | 0.0500990i | ||||
\(729\) | −15.9037 | − | 7.65883i | −0.589027 | − | 0.283661i | ||||
\(730\) | −1.44065 | − | 4.47209i | −0.0533210 | − | 0.165519i | ||||
\(731\) | −0.736566 | − | 2.38789i | −0.0272429 | − | 0.0883193i | ||||
\(732\) | 1.34874 | + | 7.65090i | 0.0498510 | + | 0.282785i | ||||
\(733\) | 21.2949 | − | 3.20969i | 0.786544 | − | 0.118552i | 0.256525 | − | 0.966538i | \(-0.417423\pi\) |
0.530020 | + | 0.847985i | \(0.322184\pi\) | |||||||
\(734\) | 1.76292 | + | 4.33250i | 0.0650705 | + | 0.159915i | ||||
\(735\) | −0.499104 | + | 1.03397i | −0.0184097 | + | 0.0381387i | ||||
\(736\) | 4.22684 | + | 11.1810i | 0.155803 | + | 0.412136i | ||||
\(737\) | −61.9197 | + | 9.33289i | −2.28084 | + | 0.343781i | ||||
\(738\) | −1.32664 | − | 0.285474i | −0.0488344 | − | 0.0105084i | ||||
\(739\) | 6.69743 | − | 2.06588i | 0.246369 | − | 0.0759948i | −0.169111 | − | 0.985597i | \(-0.554090\pi\) |
0.415480 | + | 0.909602i | \(0.363614\pi\) | |||||||
\(740\) | −3.88686 | + | 3.26119i | −0.142884 | + | 0.119884i | ||||
\(741\) | 14.3405 | + | 6.90604i | 0.526813 | + | 0.253700i | ||||
\(742\) | 0.639269 | + | 3.92168i | 0.0234683 | + | 0.143969i | ||||
\(743\) | 6.11648 | + | 12.7010i | 0.224392 | + | 0.465955i | 0.982521 | − | 0.186149i | \(-0.0596008\pi\) |
−0.758129 | + | 0.652104i | \(0.773887\pi\) | |||||||
\(744\) | −6.73783 | − | 0.252518i | −0.247021 | − | 0.00925775i | ||||
\(745\) | −8.71111 | + | 0.652808i | −0.319150 | + | 0.0239170i | ||||
\(746\) | −0.0626610 | − | 5.03413i | −0.00229418 | − | 0.184313i | ||||
\(747\) | −8.51710 | + | 27.6117i | −0.311624 | + | 1.01026i | ||||
\(748\) | 2.57821 | − | 20.5669i | 0.0942687 | − | 0.752002i | ||||
\(749\) | −18.4281 | − | 5.69357i | −0.673348 | − | 0.208038i | ||||
\(750\) | −0.646382 | + | 2.19202i | −0.0236025 | + | 0.0800412i | ||||
\(751\) | −6.04553 | − | 8.86717i | −0.220605 | − | 0.323568i | 0.699942 | − | 0.714199i | \(-0.253209\pi\) |
−0.920547 | + | 0.390632i | \(0.872257\pi\) | |||||||
\(752\) | −18.5389 | − | 21.0105i | −0.676045 | − | 0.766176i | ||||
\(753\) | 5.32736 | + | 9.22727i | 0.194140 | + | 0.336260i | ||||
\(754\) | −1.67083 | + | 12.1057i | −0.0608479 | + | 0.440864i | ||||
\(755\) | −8.52064 | + | 1.94478i | −0.310098 | + | 0.0707778i | ||||
\(756\) | −2.27553 | − | 12.9429i | −0.0827601 | − | 0.470728i | ||||
\(757\) | 23.7414 | + | 5.41882i | 0.862896 | + | 0.196950i | 0.630993 | − | 0.775789i | \(-0.282648\pi\) |
0.231903 | + | 0.972739i | \(0.425505\pi\) | |||||||
\(758\) | 7.27424 | − | 19.2350i | 0.264212 | − | 0.698648i | ||||
\(759\) | −4.58147 | − | 0.690545i | −0.166297 | − | 0.0250652i | ||||
\(760\) | 4.40117 | − | 7.00349i | 0.159647 | − | 0.254043i | ||||
\(761\) | 9.82421 | − | 10.5880i | 0.356128 | − | 0.383814i | −0.529422 | − | 0.848358i | \(-0.677591\pi\) |
0.885550 | + | 0.464544i | \(0.153782\pi\) | |||||||
\(762\) | −0.0749644 | + | 0.0122551i | −0.00271567 | + | 0.000443957i | ||||
\(763\) | 4.88444 | − | 2.81705i | 0.176829 | − | 0.101984i | ||||
\(764\) | 20.0220 | − | 30.9974i | 0.724372 | − | 1.12145i | ||||
\(765\) | −1.89184 | − | 1.09225i | −0.0683996 | − | 0.0394905i | ||||
\(766\) | 21.1954 | − | 27.2677i | 0.765823 | − | 0.985221i | ||||
\(767\) | −19.4211 | − | 20.9310i | −0.701255 | − | 0.755773i | ||||
\(768\) | 3.56051 | + | 5.82862i | 0.128479 | + | 0.210322i | ||||
\(769\) | 11.2064 | + | 8.93681i | 0.404113 | + | 0.322270i | 0.804365 | − | 0.594136i | \(-0.202506\pi\) |
−0.400251 | + | 0.916405i | \(0.631077\pi\) | |||||||
\(770\) | −6.15075 | − | 4.08637i | −0.221658 | − | 0.147263i | ||||
\(771\) | 4.93206 | + | 6.18460i | 0.177624 | + | 0.222733i | ||||
\(772\) | −22.0372 | + | 11.2967i | −0.793135 | + | 0.406576i | ||||
\(773\) | −9.27271 | + | 23.6265i | −0.333516 | + | 0.849786i | 0.661488 | + | 0.749956i | \(0.269925\pi\) |
−0.995004 | + | 0.0998301i | \(0.968170\pi\) | |||||||
\(774\) | 4.41954 | − | 2.19652i | 0.158857 | − | 0.0789522i | ||||
\(775\) | −9.89979 | − | 25.2243i | −0.355611 | − | 0.906082i | ||||
\(776\) | 0.191502 | + | 5.12626i | 0.00687453 | + | 0.184022i | ||||
\(777\) | −7.45704 | − | 0.00341942i | −0.267520 | − | 0.000122671i | ||||
\(778\) | 0.674692 | + | 0.0421238i | 0.0241889 | + | 0.00151021i | ||||
\(779\) | 0.193693 | − | 2.58465i | 0.00693976 | − | 0.0926047i | ||||
\(780\) | 1.41128 | + | 0.768615i | 0.0505319 | + | 0.0275208i | ||||
\(781\) | −3.59807 | + | 5.27740i | −0.128749 | + | 0.188840i | ||||
\(782\) | 3.07953 | + | 5.18382i | 0.110124 | + | 0.185373i | ||||
\(783\) | −4.38068 | −0.156553 | ||||||||
\(784\) | −19.5706 | + | 20.0248i | −0.698950 | + | 0.715170i | ||||
\(785\) | −5.51728 | −0.196920 | ||||||||
\(786\) | 4.16571 | + | 7.01219i | 0.148586 | + | 0.250117i | ||||
\(787\) | −7.08790 | + | 10.3960i | −0.252656 | + | 0.370579i | −0.931523 | − | 0.363683i | \(-0.881519\pi\) |
0.678866 | + | 0.734262i | \(0.262472\pi\) | |||||||
\(788\) | 16.1410 | + | 8.79077i | 0.575000 | + | 0.313158i | ||||
\(789\) | −0.0797473 | + | 1.06415i | −0.00283908 | + | 0.0378849i | ||||
\(790\) | 7.97476 | + | 0.497897i | 0.283729 | + | 0.0177144i | ||||
\(791\) | −9.27868 | − | 40.7387i | −0.329912 | − | 1.44850i | ||||
\(792\) | 40.9086 | − | 1.52823i | 1.45362 | − | 0.0543032i | ||||
\(793\) | 16.2860 | + | 41.4961i | 0.578333 | + | 1.47357i | ||||
\(794\) | −32.4560 | + | 16.1307i | −1.15182 | + | 0.572455i | ||||
\(795\) | 0.0636349 | − | 0.162139i | 0.00225690 | − | 0.00575048i | ||||
\(796\) | 11.8193 | − | 6.05880i | 0.418924 | − | 0.214748i | ||||
\(797\) | −27.6207 | − | 34.6353i | −0.978376 | − | 1.22684i | −0.973929 | − | 0.226855i | \(-0.927156\pi\) |
−0.00444757 | − | 0.999990i | \(-0.501416\pi\) | |||||||
\(798\) | 11.5731 | − | 3.72233i | 0.409683 | − | 0.131769i | ||||
\(799\) | −11.0506 | − | 8.81253i | −0.390941 | − | 0.311765i | ||||
\(800\) | −15.7464 | + | 22.4834i | −0.556721 | + | 0.794910i | ||||
\(801\) | −15.5013 | − | 16.7064i | −0.547712 | − | 0.590293i | ||||
\(802\) | −26.1267 | + | 33.6116i | −0.922565 | + | 1.18687i | ||||
\(803\) | 38.4632 | + | 22.2067i | 1.35734 | + | 0.783658i | ||||
\(804\) | 5.64729 | − | 8.74294i | 0.199164 | − | 0.308340i | ||||
\(805\) | 2.14213 | − | 0.159543i | 0.0755003 | − | 0.00562315i | ||||
\(806\) | −38.1817 | + | 6.24194i | −1.34489 | + | 0.219863i | ||||
\(807\) | −0.433854 | + | 0.467584i | −0.0152724 | + | 0.0164597i | ||||
\(808\) | 26.8751 | + | 16.8890i | 0.945462 | + | 0.594153i | ||||
\(809\) | −1.89997 | − | 0.286375i | −0.0667995 | − | 0.0100684i | 0.115557 | − | 0.993301i | \(-0.463135\pi\) |
−0.182357 | + | 0.983232i | \(0.558373\pi\) | |||||||
\(810\) | 1.42102 | − | 3.75757i | 0.0499297 | − | 0.132028i | ||||
\(811\) | −52.3016 | − | 11.9375i | −1.83656 | − | 0.419182i | −0.843532 | − | 0.537079i | \(-0.819528\pi\) |
−0.993026 | + | 0.117897i | \(0.962385\pi\) | |||||||
\(812\) | 5.44476 | + | 7.58117i | 0.191074 | + | 0.266047i | ||||
\(813\) | 6.45392 | − | 1.47307i | 0.226349 | − | 0.0516627i | ||||
\(814\) | 6.55747 | − | 47.5112i | 0.229839 | − | 1.66527i | ||||
\(815\) | −0.972440 | − | 1.68432i | −0.0340631 | − | 0.0589990i | ||||
\(816\) | 2.27949 | + | 2.58339i | 0.0797980 | + | 0.0904368i | ||||
\(817\) | 5.31009 | + | 7.78847i | 0.185777 | + | 0.272484i | ||||
\(818\) | 12.5805 | − | 42.6633i | 0.439868 | − | 1.49169i | ||||
\(819\) | −13.3272 | − | 34.0031i | −0.465691 | − | 1.18816i | ||||
\(820\) | 0.0325494 | − | 0.259654i | 0.00113667 | − | 0.00906750i | ||||
\(821\) | 7.03567 | − | 22.8091i | 0.245547 | − | 0.796042i | −0.745961 | − | 0.665990i | \(-0.768009\pi\) |
0.991507 | − | 0.130052i | \(-0.0415145\pi\) | |||||||
\(822\) | 0.0977747 | + | 7.85515i | 0.00341028 | + | 0.273980i | ||||
\(823\) | −29.6909 | + | 2.22502i | −1.03496 | + | 0.0775595i | −0.581360 | − | 0.813646i | \(-0.697479\pi\) |
−0.453599 | + | 0.891206i | \(0.649860\pi\) | |||||||
\(824\) | −1.12848 | + | 30.1107i | −0.0393123 | + | 1.04895i | ||||
\(825\) | −4.61636 | − | 9.58597i | −0.160721 | − | 0.333740i | ||||
\(826\) | −21.7654 | − | 1.36893i | −0.757316 | − | 0.0476310i | ||||
\(827\) | −0.589567 | − | 0.283920i | −0.0205012 | − | 0.00987288i | 0.423605 | − | 0.905847i | \(-0.360764\pi\) |
−0.444106 | + | 0.895974i | \(0.646479\pi\) | |||||||
\(828\) | −9.12253 | + | 7.65409i | −0.317030 | + | 0.265998i | ||||
\(829\) | 0.488897 | − | 0.150805i | 0.0169801 | − | 0.00523767i | −0.286253 | − | 0.958154i | \(-0.592410\pi\) |
0.303234 | + | 0.952916i | \(0.401934\pi\) | |||||||
\(830\) | −5.44751 | − | 1.17222i | −0.189086 | − | 0.0406884i | ||||
\(831\) | −4.32751 | + | 0.652267i | −0.150120 | + | 0.0226269i | ||||
\(832\) | 26.6531 | + | 28.7321i | 0.924028 | + | 0.996106i | ||||
\(833\) | −7.96702 | + | 11.6625i | −0.276041 | + | 0.404081i | ||||
\(834\) | 0.242547 | + | 0.596077i | 0.00839872 | + | 0.0206404i | ||||
\(835\) | −8.28202 | + | 1.24831i | −0.286611 | + | 0.0431997i | ||||
\(836\) | 13.5745 | + | 77.0028i | 0.469484 | + | 2.66320i | ||||
\(837\) | −4.08788 | − | 13.2526i | −0.141298 | − | 0.458076i | ||||
\(838\) | −6.85099 | − | 21.2669i | −0.236663 | − | 0.734653i | ||||
\(839\) | 14.6245 | + | 7.04280i | 0.504895 | + | 0.243144i | 0.668951 | − | 0.743307i | \(-0.266744\pi\) |
−0.164056 | + | 0.986451i | \(0.552458\pi\) | |||||||
\(840\) | 1.18575 | − | 0.317061i | 0.0409122 | − | 0.0109396i | ||||
\(841\) | −23.3248 | + | 11.2326i | −0.804304 | + | 0.387332i | ||||
\(842\) | 7.66048 | + | 8.05266i | 0.263998 | + | 0.277513i | ||||
\(843\) | −0.117097 | + | 0.00877521i | −0.00403304 | + | 0.000302234i | ||||
\(844\) | 4.58473 | + | 10.8775i | 0.157813 | + | 0.374418i | ||||
\(845\) | 4.03826 | + | 1.24564i | 0.138920 | + | 0.0428513i | ||||
\(846\) | 13.6554 | − | 24.3467i | 0.469482 | − | 0.837057i | ||||
\(847\) | 40.2492 | − | 6.04771i | 1.38298 | − | 0.207802i | ||||
\(848\) | 2.73069 | − | 3.25378i | 0.0937722 | − | 0.111735i | ||||
\(849\) | −3.70271 | + | 2.52446i | −0.127077 | + | 0.0866393i | ||||
\(850\) | −5.85187 | + | 12.5487i | −0.200718 | + | 0.430418i | ||||
\(851\) | 6.97578 | + | 12.0824i | 0.239127 | + | 0.414179i | ||||
\(852\) | −0.261930 | − | 1.02884i | −0.00897358 | − | 0.0352474i | ||||
\(853\) | 8.81499 | + | 38.6210i | 0.301820 | + | 1.32236i | 0.867378 | + | 0.497650i | \(0.165803\pi\) |
−0.565559 | + | 0.824708i | \(0.691339\pi\) | |||||||
\(854\) | 30.8507 | + | 14.4039i | 1.05569 | + | 0.492891i | ||||
\(855\) | 8.03383 | + | 1.83367i | 0.274751 | + | 0.0627101i | ||||
\(856\) | 8.24436 | + | 18.8994i | 0.281786 | + | 0.645967i | ||||
\(857\) | 8.51397 | − | 56.4865i | 0.290832 | − | 1.92954i | −0.0713862 | − | 0.997449i | \(-0.522742\pi\) |
0.362218 | − | 0.932093i | \(-0.382020\pi\) | |||||||
\(858\) | −14.7667 | + | 3.56434i | −0.504128 | + | 0.121685i | ||||
\(859\) | 20.1514 | − | 21.7181i | 0.687558 | − | 0.741011i | −0.288748 | − | 0.957405i | \(-0.593239\pi\) |
0.976306 | + | 0.216394i | \(0.0694296\pi\) | |||||||
\(860\) | 0.496228 | + | 0.812114i | 0.0169212 | + | 0.0276929i | ||||
\(861\) | 0.282057 | − | 0.261470i | 0.00961247 | − | 0.00891087i | ||||
\(862\) | −15.8321 | − | 22.6115i | −0.539242 | − | 0.770150i | ||||
\(863\) | 18.9718 | + | 10.9534i | 0.645807 | + | 0.372857i | 0.786848 | − | 0.617147i | \(-0.211712\pi\) |
−0.141041 | + | 0.990004i | \(0.545045\pi\) | |||||||
\(864\) | −8.89659 | + | 10.8728i | −0.302668 | + | 0.369901i | ||||
\(865\) | 1.85514 | − | 1.72132i | 0.0630767 | − | 0.0585266i | ||||
\(866\) | −22.7820 | + | 34.3254i | −0.774166 | + | 1.16642i | ||||
\(867\) | −4.31498 | − | 3.44108i | −0.146544 | − | 0.116865i | ||||
\(868\) | −17.8540 | + | 23.5461i | −0.606003 | + | 0.799207i | ||||
\(869\) | −59.0526 | + | 47.0928i | −2.00322 | + | 1.59752i | ||||
\(870\) | −0.0356520 | − | 0.407599i | −0.00120872 | − | 0.0138189i | ||||
\(871\) | 21.8189 | − | 55.5936i | 0.739305 | − | 1.88372i | ||||
\(872\) | −5.68950 | − | 1.99123i | −0.192671 | − | 0.0674314i | ||||
\(873\) | −4.75724 | + | 1.86708i | −0.161008 | + | 0.0631911i | ||||
\(874\) | −16.8643 | − | 15.2616i | −0.570445 | − | 0.516233i | ||||
\(875\) | 6.24105 | + | 7.83339i | 0.210986 | + | 0.264817i | ||||
\(876\) | −6.99785 | + | 2.35084i | −0.236435 | + | 0.0794275i | ||||
\(877\) | 45.9316 | + | 3.44210i | 1.55100 | + | 0.116231i | 0.822480 | − | 0.568794i | \(-0.192590\pi\) |
0.728519 | + | 0.685025i | \(0.240209\pi\) | |||||||
\(878\) | 9.86264 | + | 12.0564i | 0.332848 | + | 0.406884i | ||||
\(879\) | 4.13765 | − | 6.06882i | 0.139560 | − | 0.204696i | ||||
\(880\) | 0.980980 | + | 7.83313i | 0.0330688 | + | 0.264055i | ||||
\(881\) | 16.6463i | 0.560828i | 0.959879 | + | 0.280414i | \(0.0904718\pi\) | ||||
−0.959879 | + | 0.280414i | \(0.909528\pi\) | |||||||
\(882\) | −25.2700 | − | 11.8124i | −0.850884 | − | 0.397745i | ||||
\(883\) | −17.1768 | −0.578047 | −0.289023 | − | 0.957322i | \(-0.593331\pi\) | ||||
−0.289023 | + | 0.957322i | \(0.593331\pi\) | |||||||
\(884\) | 15.7580 | + | 11.9372i | 0.529998 | + | 0.401492i | ||||
\(885\) | 0.789878 | + | 0.538530i | 0.0265514 | + | 0.0181025i | ||||
\(886\) | 18.0282 | + | 22.0383i | 0.605669 | + | 0.740390i | ||||
\(887\) | 2.07469 | − | 27.6848i | 0.0696613 | − | 0.929566i | −0.847435 | − | 0.530900i | \(-0.821854\pi\) |
0.917096 | − | 0.398666i | \(-0.130527\pi\) | |||||||
\(888\) | 5.19962 | + | 6.04280i | 0.174488 | + | 0.202783i | ||||
\(889\) | −0.144576 | + | 0.299864i | −0.00484893 | + | 0.0100571i | ||||
\(890\) | 2.94894 | − | 3.25862i | 0.0988487 | − | 0.109229i | ||||
\(891\) | 13.8738 | + | 35.3499i | 0.464790 | + | 1.18426i | ||||
\(892\) | −38.8138 | − | 34.2561i | −1.29958 | − | 1.14698i | ||||
\(893\) | 49.6316 | + | 19.4790i | 1.66086 | + | 0.651839i | ||||
\(894\) | 1.19597 | + | 13.6731i | 0.0399991 | + | 0.457297i | ||||
\(895\) | −1.94613 | − | 2.44037i | −0.0650519 | − | 0.0815725i | ||||
\(896\) | 29.8740 | + | 1.88252i | 0.998020 | + | 0.0628906i | ||||
\(897\) | 2.75512 | − | 3.45481i | 0.0919907 | − | 0.115353i | ||||
\(898\) | 8.60298 | + | 5.70988i | 0.287085 | + | 0.190541i | ||||
\(899\) | 6.69995 | + | 7.22083i | 0.223456 | + | 0.240828i | ||||
\(900\) | −26.3234 | − | 7.40739i | −0.877446 | − | 0.246913i | ||||
\(901\) | 1.07135 | − | 1.85564i | 0.0356919 | − | 0.0618202i | ||||
\(902\) | 1.41880 | + | 2.02635i | 0.0472410 | + | 0.0674700i | ||||
\(903\) | −0.209110 | + | 1.38305i | −0.00695874 | + | 0.0460250i | ||||
\(904\) | −26.5262 | + | 35.9372i | −0.882248 | + | 1.19525i | ||||
\(905\) | −2.87737 | − | 2.66981i | −0.0956469 | − | 0.0887474i | ||||
\(906\) | 3.22204 | + | 13.3486i | 0.107045 | + | 0.443478i | ||||
\(907\) | −39.9778 | − | 6.02569i | −1.32744 | − | 0.200080i | −0.553242 | − | 0.833020i | \(-0.686610\pi\) |
−0.774200 | + | 0.632941i | \(0.781848\pi\) | |||||||
\(908\) | −0.538467 | − | 21.6267i | −0.0178697 | − | 0.717706i | ||||
\(909\) | −7.03649 | + | 30.8289i | −0.233386 | + | 1.02253i | ||||
\(910\) | 6.30827 | − | 3.13161i | 0.209117 | − | 0.103812i | ||||
\(911\) | −44.1054 | + | 10.0668i | −1.46128 | + | 0.333527i | −0.877967 | − | 0.478721i | \(-0.841100\pi\) |
−0.583312 | + | 0.812249i | \(0.698243\pi\) | |||||||
\(912\) | −11.0891 | − | 6.77765i | −0.367198 | − | 0.224430i | ||||
\(913\) | 45.6164 | − | 26.3366i | 1.50968 | − | 0.871616i | ||||
\(914\) | −2.27536 | − | 1.06107i | −0.0752622 | − | 0.0350972i | ||||
\(915\) | −0.840759 | − | 1.23317i | −0.0277946 | − | 0.0407672i | ||||
\(916\) | 5.09289 | + | 50.9164i | 0.168274 | + | 1.68233i | ||||
\(917\) | 35.6440 | + | 2.68759i | 1.17707 | + | 0.0887519i | ||||
\(918\) | −3.46663 | + | 6.18079i | −0.114416 | + | 0.203996i | ||||
\(919\) | −8.94023 | + | 28.9835i | −0.294911 | + | 0.956077i | 0.679949 | + | 0.733259i | \(0.262002\pi\) |
−0.974860 | + | 0.222818i | \(0.928474\pi\) | |||||||
\(920\) | −1.62369 | − | 1.62388i | −0.0535314 | − | 0.0535379i | ||||
\(921\) | −0.148132 | − | 1.97669i | −0.00488112 | − | 0.0651340i | ||||
\(922\) | 11.5586 | − | 10.9957i | 0.380661 | − | 0.362123i | ||||
\(923\) | −2.64311 | − | 5.48848i | −0.0869991 | − | 0.180655i | ||||
\(924\) | −6.29975 | + | 9.74325i | −0.207246 | + | 0.320529i | ||||
\(925\) | −13.9008 | + | 28.8653i | −0.457055 | + | 0.949084i | ||||
\(926\) | 2.85598 | + | 8.86555i | 0.0938532 | + | 0.291340i | ||||
\(927\) | −28.6847 | + | 8.84805i | −0.942128 | + | 0.290608i | ||||
\(928\) | 2.34244 | − | 9.69939i | 0.0768944 | − | 0.318398i | ||||
\(929\) | −5.34901 | − | 35.4884i | −0.175495 | − | 1.16434i | −0.887039 | − | 0.461694i | \(-0.847242\pi\) |
0.711544 | − | 0.702642i | \(-0.247996\pi\) | |||||||
\(930\) | 1.19981 | − | 0.488211i | 0.0393434 | − | 0.0160091i | ||||
\(931\) | 15.7509 | − | 50.8973i | 0.516214 | − | 1.66809i | ||||
\(932\) | 41.3769 | − | 40.3546i | 1.35535 | − | 1.32186i | ||||
\(933\) | 1.35181 | + | 8.96866i | 0.0442562 | + | 0.293621i | ||||
\(934\) | −52.6776 | − | 11.3354i | −1.72366 | − | 0.370906i | ||||
\(935\) | 1.17375 | + | 3.80520i | 0.0383857 | + | 0.124443i | ||||
\(936\) | −18.2457 | + | 34.5176i | −0.596380 | + | 1.12824i | ||||
\(937\) | −9.84510 | + | 20.4436i | −0.321625 | + | 0.667862i | −0.997613 | − | 0.0690510i | \(-0.978003\pi\) |
0.675988 | + | 0.736913i | \(0.263717\pi\) | |||||||
\(938\) | −17.1727 | − | 42.2586i | −0.560709 | − | 1.37979i | ||||
\(939\) | −7.71019 | + | 3.71303i | −0.251612 | + | 0.121170i | ||||
\(940\) | 4.90661 | + | 2.21418i | 0.160036 | + | 0.0722188i | ||||
\(941\) | 0.282896 | + | 3.77498i | 0.00922214 | + | 0.123061i | 0.999915 | − | 0.0130573i | \(-0.00415637\pi\) |
−0.990693 | + | 0.136118i | \(0.956537\pi\) | |||||||
\(942\) | 0.107894 | + | 8.66810i | 0.00351537 | + | 0.282422i | ||||
\(943\) | −0.687601 | − | 0.212097i | −0.0223914 | − | 0.00690682i | ||||
\(944\) | 14.0757 | + | 18.5856i | 0.458126 | + | 0.604911i | ||||
\(945\) | 1.42122 | + | 2.08661i | 0.0462324 | + | 0.0678774i | ||||
\(946\) | −8.62913 | − | 2.54456i | −0.280557 | − | 0.0827306i | ||||
\(947\) | 20.9393 | − | 14.2762i | 0.680437 | − | 0.463914i | −0.173129 | − | 0.984899i | \(-0.555388\pi\) |
0.853566 | + | 0.520985i | \(0.174435\pi\) | |||||||
\(948\) | 0.626287 | − | 12.5387i | 0.0203408 | − | 0.407239i | ||||
\(949\) | −36.6837 | + | 21.1793i | −1.19080 | + | 0.687510i | ||||
\(950\) | 7.14114 | − | 51.7401i | 0.231689 | − | 1.67867i | ||||
\(951\) | 1.19079 | + | 5.21721i | 0.0386142 | + | 0.169180i | ||||
\(952\) | 15.0051 | − | 1.68279i | 0.486318 | − | 0.0545395i | ||||
\(953\) | −2.07331 | + | 9.08377i | −0.0671611 | + | 0.294252i | −0.997343 | − | 0.0728464i | \(-0.976792\pi\) |
0.930182 | + | 0.367099i | \(0.119649\pi\) | |||||||
\(954\) | 3.95820 | + | 1.49690i | 0.128151 | + | 0.0484638i | ||||
\(955\) | −1.05660 | + | 7.01010i | −0.0341909 | + | 0.226842i | ||||
\(956\) | 14.1955 | + | 19.7464i | 0.459115 | + | 0.638644i | ||||
\(957\) | 2.83521 | + | 2.63069i | 0.0916494 | + | 0.0850382i | ||||
\(958\) | −44.4891 | + | 7.27307i | −1.43738 | + | 0.234982i | ||||
\(959\) | 28.4371 | + | 19.4072i | 0.918283 | + | 0.626692i | ||||
\(960\) | −1.08406 | − | 0.739292i | −0.0349879 | − | 0.0238605i | ||||
\(961\) | −0.0925621 | + | 0.160322i | −0.00298587 | + | 0.00517168i | ||||
\(962\) | 36.1152 | + | 28.0727i | 1.16440 | + | 0.905101i | ||||
\(963\) | −15.0581 | + | 13.9719i | −0.485240 | + | 0.450237i | ||||
\(964\) | 24.0053 | + | 4.85378i | 0.773159 | + | 0.156330i | ||||
\(965\) | 2.96624 | − | 3.71955i | 0.0954867 | − | 0.119737i | ||||
\(966\) | −0.292546 | − | 3.36235i | −0.00941251 | − | 0.108182i | ||||
\(967\) | −9.36679 | + | 7.46976i | −0.301216 | + | 0.240211i | −0.762420 | − | 0.647082i | \(-0.775989\pi\) |
0.461204 | + | 0.887294i | \(0.347417\pi\) | |||||||
\(968\) | −32.9785 | − | 28.3838i | −1.05997 | − | 0.912289i | ||||
\(969\) | −6.10255 | − | 2.39508i | −0.196042 | − | 0.0769409i | ||||
\(970\) | −0.438615 | − | 0.882524i | −0.0140831 | − | 0.0283361i | ||||
\(971\) | −9.76639 | + | 3.83303i | −0.313418 | + | 0.123008i | −0.516836 | − | 0.856084i | \(-0.672890\pi\) |
0.203418 | + | 0.979092i | \(0.434795\pi\) | |||||||
\(972\) | −19.9333 | − | 7.25605i | −0.639362 | − | 0.232738i | ||||
\(973\) | 2.74933 | + | 0.628843i | 0.0881395 | + | 0.0201598i | ||||
\(974\) | 46.6844 | + | 2.91471i | 1.49587 | + | 0.0933932i | ||||
\(975\) | 10.1190 | + | 0.758314i | 0.324067 | + | 0.0242855i | ||||
\(976\) | −9.85535 | − | 35.0388i | −0.315462 | − | 1.12156i | ||||
\(977\) | 18.7130 | + | 12.7583i | 0.598683 | + | 0.408175i | 0.824392 | − | 0.566020i | \(-0.191517\pi\) |
−0.225709 | + | 0.974195i | \(0.572470\pi\) | |||||||
\(978\) | −2.62718 | + | 1.56072i | −0.0840080 | + | 0.0499064i | ||||
\(979\) | 41.5441i | 1.32775i | ||||||||
\(980\) | 1.84463 | − | 5.05301i | 0.0589244 | − | 0.161413i | ||||
\(981\) | − | 6.00518i | − | 0.191731i | ||||||
\(982\) | 9.71871 | + | 16.3596i | 0.310137 | + | 0.522057i | ||||
\(983\) | −21.7899 | − | 14.8561i | −0.694991 | − | 0.473837i | 0.163581 | − | 0.986530i | \(-0.447696\pi\) |
−0.858572 | + | 0.512693i | \(0.828648\pi\) | |||||||
\(984\) | −0.408574 | − | 0.0460601i | −0.0130249 | − | 0.00146834i | ||||
\(985\) | −3.52110 | − | 0.263870i | −0.112192 | − | 0.00840759i | ||||
\(986\) | 0.313639 | − | 5.02352i | 0.00998831 | − | 0.159981i | ||||
\(987\) | 3.42947 | + | 7.12972i | 0.109161 | + | 0.226942i | ||||
\(988\) | −70.0744 | − | 25.5082i | −2.22936 | − | 0.811523i | ||||
\(989\) | 2.43609 | − | 0.956093i | 0.0774630 | − | 0.0304020i | ||||
\(990\) | −7.04272 | + | 3.50024i | −0.223832 | + | 0.111245i | ||||
\(991\) | 39.2983 | + | 15.4234i | 1.24835 | + | 0.489942i | 0.895217 | − | 0.445631i | \(-0.147021\pi\) |
0.353134 | + | 0.935573i | \(0.385116\pi\) | |||||||
\(992\) | 31.5288 | − | 1.96466i | 1.00104 | − | 0.0623781i | ||||
\(993\) | 2.88826 | − | 2.30331i | 0.0916563 | − | 0.0730935i | ||||
\(994\) | −4.35121 | − | 1.64781i | −0.138012 | − | 0.0522652i | ||||
\(995\) | −1.59090 | + | 1.99492i | −0.0504349 | + | 0.0632434i | ||||
\(996\) | −1.73513 | + | 8.58141i | −0.0549797 | + | 0.271912i | ||||
\(997\) | 16.8353 | − | 15.6209i | 0.533180 | − | 0.494719i | −0.367009 | − | 0.930217i | \(-0.619618\pi\) |
0.900190 | + | 0.435498i | \(0.143428\pi\) | |||||||
\(998\) | 16.4897 | − | 21.2138i | 0.521973 | − | 0.671511i | ||||
\(999\) | −8.19869 | + | 14.2005i | −0.259395 | + | 0.449285i |
(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 | 392.2.bc.a.299.18 | yes | 648 | |
8.3 | odd | 2 | inner | 392.2.bc.a.299.23 | yes | 648 | |
49.10 | odd | 42 | inner | 392.2.bc.a.59.23 | yes | 648 | |
392.59 | even | 42 | inner | 392.2.bc.a.59.18 | ✓ | 648 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
392.2.bc.a.59.18 | ✓ | 648 | 392.59 | even | 42 | inner | |
392.2.bc.a.59.23 | yes | 648 | 49.10 | odd | 42 | inner | |
392.2.bc.a.299.18 | yes | 648 | 1.1 | even | 1 | trivial | |
392.2.bc.a.299.23 | yes | 648 | 8.3 | odd | 2 | inner |