Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [280,2,Mod(67,280)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(280, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 6, 3, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("280.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 280 = 2^{3} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 280.br (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.23581125660\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 107.34 | ||
Character | \(\chi\) | \(=\) | 280.107 |
Dual form | 280.2.br.a.123.34 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.949136 | − | 1.04840i | 0.671140 | − | 0.741330i | ||||
\(3\) | 0.357022 | + | 0.0956638i | 0.206127 | + | 0.0552315i | 0.360405 | − | 0.932796i | \(-0.382638\pi\) |
−0.154278 | + | 0.988027i | \(0.549305\pi\) | |||||||
\(4\) | −0.198283 | − | 1.99015i | −0.0991414 | − | 0.995073i | ||||
\(5\) | −2.11588 | − | 0.723237i | −0.946248 | − | 0.323441i | ||||
\(6\) | 0.439157 | − | 0.283504i | 0.179285 | − | 0.115740i | ||||
\(7\) | 1.60674 | − | 2.10200i | 0.607289 | − | 0.794481i | ||||
\(8\) | −2.27467 | − | 1.68104i | −0.804216 | − | 0.594337i | ||||
\(9\) | −2.47976 | − | 1.43169i | −0.826588 | − | 0.477231i | ||||
\(10\) | −2.76649 | + | 1.53183i | −0.874842 | + | 0.484408i | ||||
\(11\) | −0.466681 | − | 0.808315i | −0.140710 | − | 0.243716i | 0.787054 | − | 0.616884i | \(-0.211605\pi\) |
−0.927764 | + | 0.373167i | \(0.878272\pi\) | |||||||
\(12\) | 0.119594 | − | 0.729495i | 0.0345237 | − | 0.210587i | ||||
\(13\) | 4.27704 | + | 4.27704i | 1.18624 | + | 1.18624i | 0.978099 | + | 0.208140i | \(0.0667408\pi\) |
0.208140 | + | 0.978099i | \(0.433259\pi\) | |||||||
\(14\) | −0.678723 | − | 3.67958i | −0.181396 | − | 0.983410i | ||||
\(15\) | −0.686227 | − | 0.460624i | −0.177183 | − | 0.118933i | ||||
\(16\) | −3.92137 | + | 0.789223i | −0.980342 | + | 0.197306i | ||||
\(17\) | 1.52523 | − | 5.69224i | 0.369923 | − | 1.38057i | −0.490701 | − | 0.871328i | \(-0.663259\pi\) |
0.860623 | − | 0.509242i | \(-0.170074\pi\) | |||||||
\(18\) | −3.85462 | + | 1.24091i | −0.908542 | + | 0.292486i | ||||
\(19\) | 4.55363 | + | 2.62904i | 1.04467 | + | 0.603143i | 0.921154 | − | 0.389199i | \(-0.127248\pi\) |
0.123521 | + | 0.992342i | \(0.460581\pi\) | |||||||
\(20\) | −1.01981 | + | 4.35431i | −0.228036 | + | 0.973653i | ||||
\(21\) | 0.774726 | − | 0.596754i | 0.169059 | − | 0.130222i | ||||
\(22\) | −1.29038 | − | 0.277933i | −0.275110 | − | 0.0592555i | ||||
\(23\) | −2.48608 | + | 0.666144i | −0.518384 | + | 0.138901i | −0.508519 | − | 0.861051i | \(-0.669807\pi\) |
−0.00986492 | + | 0.999951i | \(0.503140\pi\) | |||||||
\(24\) | −0.651292 | − | 0.817772i | −0.132944 | − | 0.166927i | ||||
\(25\) | 3.95386 | + | 3.06056i | 0.790771 | + | 0.612112i | ||||
\(26\) | 8.54355 | − | 0.424555i | 1.67553 | − | 0.0832621i | ||||
\(27\) | −1.53244 | − | 1.53244i | −0.294919 | − | 0.294919i | ||||
\(28\) | −4.50187 | − | 2.78085i | −0.850774 | − | 0.525532i | ||||
\(29\) | 5.15709 | 0.957648 | 0.478824 | − | 0.877911i | \(-0.341063\pi\) | ||||
0.478824 | + | 0.877911i | \(0.341063\pi\) | |||||||
\(30\) | −1.13424 | + | 0.282245i | −0.207083 | + | 0.0515306i | ||||
\(31\) | −1.23225 | + | 0.711441i | −0.221319 | + | 0.127779i | −0.606561 | − | 0.795037i | \(-0.707451\pi\) |
0.385242 | + | 0.922816i | \(0.374118\pi\) | |||||||
\(32\) | −2.89449 | + | 4.86024i | −0.511678 | + | 0.859177i | ||||
\(33\) | −0.0892890 | − | 0.333231i | −0.0155432 | − | 0.0580081i | ||||
\(34\) | −4.52009 | − | 7.00176i | −0.775189 | − | 1.20079i | ||||
\(35\) | −4.91990 | + | 3.28552i | −0.831614 | + | 0.555353i | ||||
\(36\) | −2.35758 | + | 5.21897i | −0.392930 | + | 0.869829i | ||||
\(37\) | 0.432338 | + | 1.61351i | 0.0710760 | + | 0.265259i | 0.992315 | − | 0.123738i | \(-0.0394882\pi\) |
−0.921239 | + | 0.388997i | \(0.872822\pi\) | |||||||
\(38\) | 7.07830 | − | 2.27871i | 1.14825 | − | 0.369655i | ||||
\(39\) | 1.11784 | + | 1.93616i | 0.178998 | + | 0.310033i | ||||
\(40\) | 3.59712 | + | 5.20199i | 0.568754 | + | 0.822507i | ||||
\(41\) | 6.12368 | 0.956358 | 0.478179 | − | 0.878262i | \(-0.341297\pi\) | ||||
0.478179 | + | 0.878262i | \(0.341297\pi\) | |||||||
\(42\) | 0.109684 | − | 1.37862i | 0.0169246 | − | 0.212726i | ||||
\(43\) | −7.08536 | + | 7.08536i | −1.08051 | + | 1.08051i | −0.0840448 | + | 0.996462i | \(0.526784\pi\) |
−0.996462 | + | 0.0840448i | \(0.973216\pi\) | |||||||
\(44\) | −1.51613 | + | 1.08904i | −0.228565 | + | 0.164179i | ||||
\(45\) | 4.21142 | + | 4.82274i | 0.627801 | + | 0.718931i | ||||
\(46\) | −1.66124 | + | 3.23867i | −0.244937 | + | 0.477515i | ||||
\(47\) | 2.45559 | + | 9.16440i | 0.358185 | + | 1.33677i | 0.876429 | + | 0.481532i | \(0.159919\pi\) |
−0.518243 | + | 0.855233i | \(0.673414\pi\) | |||||||
\(48\) | −1.47552 | − | 0.0933627i | −0.212972 | − | 0.0134758i | ||||
\(49\) | −1.83680 | − | 6.75472i | −0.262399 | − | 0.964959i | ||||
\(50\) | 6.96143 | − | 1.24033i | 0.984496 | − | 0.175410i | ||||
\(51\) | 1.08908 | − | 1.88635i | 0.152502 | − | 0.264141i | ||||
\(52\) | 7.66388 | − | 9.36001i | 1.06279 | − | 1.29800i | ||||
\(53\) | 2.06081 | − | 7.69103i | 0.283073 | − | 1.05644i | −0.667162 | − | 0.744912i | \(-0.732491\pi\) |
0.950236 | − | 0.311532i | \(-0.100842\pi\) | |||||||
\(54\) | −3.06111 | + | 0.152116i | −0.416565 | + | 0.0207004i | ||||
\(55\) | 0.402835 | + | 2.04782i | 0.0543183 | + | 0.276127i | ||||
\(56\) | −7.18833 | + | 2.08036i | −0.960581 | + | 0.277999i | ||||
\(57\) | 1.37424 | + | 1.37424i | 0.182023 | + | 0.182023i | ||||
\(58\) | 4.89478 | − | 5.40669i | 0.642716 | − | 0.709933i | ||||
\(59\) | 0.873827 | − | 0.504505i | 0.113763 | − | 0.0656809i | −0.442039 | − | 0.896996i | \(-0.645745\pi\) |
0.555802 | + | 0.831315i | \(0.312411\pi\) | |||||||
\(60\) | −0.780643 | + | 1.45703i | −0.100781 | + | 0.188101i | ||||
\(61\) | 2.84724 | + | 1.64386i | 0.364552 | + | 0.210474i | 0.671076 | − | 0.741389i | \(-0.265832\pi\) |
−0.306524 | + | 0.951863i | \(0.599166\pi\) | |||||||
\(62\) | −0.423700 | + | 1.96715i | −0.0538100 | + | 0.249828i | ||||
\(63\) | −6.99374 | + | 2.91211i | −0.881128 | + | 0.366891i | ||||
\(64\) | 2.34821 | + | 7.64761i | 0.293526 | + | 0.955951i | ||||
\(65\) | −5.95638 | − | 12.1430i | −0.738797 | − | 1.50615i | ||||
\(66\) | −0.434107 | − | 0.222671i | −0.0534348 | − | 0.0274089i | ||||
\(67\) | 0.526202 | − | 1.96381i | 0.0642859 | − | 0.239918i | −0.926305 | − | 0.376774i | \(-0.877033\pi\) |
0.990591 | + | 0.136856i | \(0.0436999\pi\) | |||||||
\(68\) | −11.6308 | − | 1.90676i | −1.41044 | − | 0.231229i | ||||
\(69\) | −0.951312 | −0.114525 | ||||||||
\(70\) | −1.22512 | + | 8.27642i | −0.146430 | + | 0.989221i | ||||
\(71\) | − | 12.5416i | − | 1.48841i | −0.667950 | − | 0.744206i | \(-0.732828\pi\) | ||
0.667950 | − | 0.744206i | \(-0.267172\pi\) | |||||||
\(72\) | 3.23390 | + | 7.42520i | 0.381119 | + | 0.875068i | ||||
\(73\) | −3.20705 | − | 0.859326i | −0.375356 | − | 0.100576i | 0.0662084 | − | 0.997806i | \(-0.478910\pi\) |
−0.441565 | + | 0.897229i | \(0.645576\pi\) | |||||||
\(74\) | 2.10195 | + | 1.07818i | 0.244347 | + | 0.125335i | ||||
\(75\) | 1.11883 | + | 1.47093i | 0.129191 | + | 0.169848i | ||||
\(76\) | 4.32927 | − | 9.58369i | 0.496601 | − | 1.09932i | ||||
\(77\) | −2.44891 | − | 0.317787i | −0.279079 | − | 0.0362152i | ||||
\(78\) | 3.09085 | + | 0.665733i | 0.349970 | + | 0.0753794i | ||||
\(79\) | 2.02447 | − | 3.50648i | 0.227770 | − | 0.394510i | −0.729377 | − | 0.684112i | \(-0.760190\pi\) |
0.957147 | + | 0.289603i | \(0.0935231\pi\) | |||||||
\(80\) | 8.86792 | + | 1.16618i | 0.991464 | + | 0.130383i | ||||
\(81\) | 3.89456 | + | 6.74557i | 0.432729 | + | 0.749508i | ||||
\(82\) | 5.81220 | − | 6.42006i | 0.641851 | − | 0.708977i | ||||
\(83\) | −9.21676 | + | 9.21676i | −1.01167 | + | 1.01167i | −0.0117394 | + | 0.999931i | \(0.503737\pi\) |
−0.999931 | + | 0.0117394i | \(0.996263\pi\) | |||||||
\(84\) | −1.34124 | − | 1.42349i | −0.146342 | − | 0.155316i | ||||
\(85\) | −7.34403 | + | 10.9410i | −0.796572 | + | 1.18671i | ||||
\(86\) | 0.703319 | + | 14.1532i | 0.0758408 | + | 1.52618i | ||||
\(87\) | 1.84120 | + | 0.493347i | 0.197397 | + | 0.0528924i | ||||
\(88\) | −0.297267 | + | 2.62316i | −0.0316888 | + | 0.279630i | ||||
\(89\) | 10.3405 | + | 5.97011i | 1.09609 | + | 0.632831i | 0.935192 | − | 0.354140i | \(-0.115226\pi\) |
0.160902 | + | 0.986970i | \(0.448560\pi\) | |||||||
\(90\) | 9.05336 | + | 0.162186i | 0.954308 | + | 0.0170959i | ||||
\(91\) | 15.8624 | − | 2.11826i | 1.66283 | − | 0.222054i | ||||
\(92\) | 1.81867 | + | 4.81558i | 0.189610 | + | 0.502059i | ||||
\(93\) | −0.508001 | + | 0.136118i | −0.0526772 | + | 0.0141148i | ||||
\(94\) | 11.9386 | + | 6.12382i | 1.23138 | + | 0.631623i | ||||
\(95\) | −7.73350 | − | 8.85608i | −0.793440 | − | 0.908614i | ||||
\(96\) | −1.49835 | + | 1.45832i | −0.152924 | + | 0.148839i | ||||
\(97\) | −4.41264 | − | 4.41264i | −0.448035 | − | 0.448035i | 0.446666 | − | 0.894701i | \(-0.352611\pi\) |
−0.894701 | + | 0.446666i | \(0.852611\pi\) | |||||||
\(98\) | −8.82501 | − | 4.48545i | −0.891460 | − | 0.453099i | ||||
\(99\) | 2.67257i | 0.268604i | ||||||||
\(100\) | 5.30698 | − | 8.47561i | 0.530698 | − | 0.847561i | ||||
\(101\) | −1.30911 | + | 0.755818i | −0.130262 | + | 0.0752067i | −0.563715 | − | 0.825969i | \(-0.690628\pi\) |
0.433453 | + | 0.901176i | \(0.357295\pi\) | |||||||
\(102\) | −0.943957 | − | 2.93219i | −0.0934657 | − | 0.290330i | ||||
\(103\) | 4.45140 | − | 1.19275i | 0.438609 | − | 0.117525i | −0.0327554 | − | 0.999463i | \(-0.510428\pi\) |
0.471365 | + | 0.881938i | \(0.343762\pi\) | |||||||
\(104\) | −2.53896 | − | 16.9187i | −0.248966 | − | 1.65902i | ||||
\(105\) | −2.07082 | + | 0.702346i | −0.202091 | + | 0.0685419i | ||||
\(106\) | −6.10729 | − | 9.46038i | −0.593192 | − | 0.918873i | ||||
\(107\) | −12.1549 | + | 3.25690i | −1.17506 | + | 0.314856i | −0.792965 | − | 0.609267i | \(-0.791464\pi\) |
−0.382095 | + | 0.924123i | \(0.624797\pi\) | |||||||
\(108\) | −2.74593 | + | 3.35365i | −0.264227 | + | 0.322705i | ||||
\(109\) | 2.15167 | + | 3.72680i | 0.206092 | + | 0.356962i | 0.950480 | − | 0.310785i | \(-0.100592\pi\) |
−0.744388 | + | 0.667747i | \(0.767259\pi\) | |||||||
\(110\) | 2.52927 | + | 1.52132i | 0.241157 | + | 0.145052i | ||||
\(111\) | 0.617418i | 0.0586027i | ||||||||
\(112\) | −4.64166 | + | 9.51078i | −0.438596 | + | 0.898685i | ||||
\(113\) | −3.26855 | + | 3.26855i | −0.307479 | + | 0.307479i | −0.843931 | − | 0.536452i | \(-0.819764\pi\) |
0.536452 | + | 0.843931i | \(0.319764\pi\) | |||||||
\(114\) | 2.74510 | − | 0.136413i | 0.257102 | − | 0.0127762i | ||||
\(115\) | 5.74202 | + | 0.388550i | 0.535446 | + | 0.0362325i | ||||
\(116\) | −1.02256 | − | 10.2634i | −0.0949425 | − | 0.952930i | ||||
\(117\) | −4.48265 | − | 16.7295i | −0.414421 | − | 1.54664i | ||||
\(118\) | 0.300459 | − | 1.39496i | 0.0276595 | − | 0.128417i | ||||
\(119\) | −9.51443 | − | 12.3520i | −0.872186 | − | 1.13230i | ||||
\(120\) | 0.786609 | + | 2.20134i | 0.0718072 | + | 0.200954i | ||||
\(121\) | 5.06442 | − | 8.77183i | 0.460402 | − | 0.797439i | ||||
\(122\) | 4.42584 | − | 1.42481i | 0.400697 | − | 0.128996i | ||||
\(123\) | 2.18629 | + | 0.585815i | 0.197131 | + | 0.0528211i | ||||
\(124\) | 1.66021 | + | 2.31130i | 0.149091 | + | 0.207561i | ||||
\(125\) | −6.15236 | − | 9.33534i | −0.550283 | − | 0.834978i | ||||
\(126\) | −3.58496 | + | 10.0962i | −0.319373 | + | 0.899442i | ||||
\(127\) | −5.01136 | + | 5.01136i | −0.444686 | + | 0.444686i | −0.893583 | − | 0.448897i | \(-0.851817\pi\) |
0.448897 | + | 0.893583i | \(0.351817\pi\) | |||||||
\(128\) | 10.2465 | + | 4.79676i | 0.905673 | + | 0.423977i | ||||
\(129\) | −3.20744 | + | 1.85182i | −0.282400 | + | 0.163043i | ||||
\(130\) | −18.3841 | − | 5.28070i | −1.61240 | − | 0.463148i | ||||
\(131\) | −2.74939 | + | 4.76208i | −0.240215 | + | 0.416065i | −0.960775 | − | 0.277327i | \(-0.910551\pi\) |
0.720560 | + | 0.693392i | \(0.243885\pi\) | |||||||
\(132\) | −0.645474 | + | 0.243772i | −0.0561813 | + | 0.0212176i | ||||
\(133\) | 12.8427 | − | 5.34755i | 1.11361 | − | 0.463691i | ||||
\(134\) | −1.55942 | − | 2.41560i | −0.134714 | − | 0.208676i | ||||
\(135\) | 2.13414 | + | 4.35078i | 0.183678 | + | 0.374456i | ||||
\(136\) | −13.0383 | + | 10.3840i | −1.11802 | + | 0.890418i | ||||
\(137\) | 0.307968 | − | 1.14935i | 0.0263115 | − | 0.0981959i | −0.951521 | − | 0.307582i | \(-0.900480\pi\) |
0.977833 | + | 0.209387i | \(0.0671467\pi\) | |||||||
\(138\) | −0.902925 | + | 0.997355i | −0.0768620 | + | 0.0849005i | ||||
\(139\) | 7.23581i | 0.613734i | 0.951752 | + | 0.306867i | \(0.0992806\pi\) | ||||
−0.951752 | + | 0.306867i | \(0.900719\pi\) | |||||||
\(140\) | 7.51419 | + | 9.13986i | 0.635065 | + | 0.772459i | ||||
\(141\) | 3.50681i | 0.295326i | ||||||||
\(142\) | −13.1486 | − | 11.9037i | −1.10340 | − | 0.998933i | ||||
\(143\) | 1.46119 | − | 5.45322i | 0.122190 | − | 0.456021i | ||||
\(144\) | 10.8540 | + | 3.65710i | 0.904499 | + | 0.304759i | ||||
\(145\) | −10.9118 | − | 3.72980i | −0.906172 | − | 0.309743i | ||||
\(146\) | −3.94484 | + | 2.54665i | −0.326477 | + | 0.210762i | ||||
\(147\) | −0.00959489 | − | 2.58730i | −0.000791373 | − | 0.213397i | ||||
\(148\) | 3.12539 | − | 1.18035i | 0.256906 | − | 0.0970240i | ||||
\(149\) | −1.62968 | + | 2.82269i | −0.133509 | + | 0.231244i | −0.925027 | − | 0.379902i | \(-0.875958\pi\) |
0.791518 | + | 0.611146i | \(0.209291\pi\) | |||||||
\(150\) | 2.60404 | + | 0.223130i | 0.212619 | + | 0.0182185i | ||||
\(151\) | −15.5929 | + | 9.00258i | −1.26893 | + | 0.732620i | −0.974786 | − | 0.223140i | \(-0.928369\pi\) |
−0.294148 | + | 0.955760i | \(0.595036\pi\) | |||||||
\(152\) | −5.93847 | − | 13.6350i | −0.481673 | − | 1.10595i | ||||
\(153\) | −11.9317 | + | 11.9317i | −0.964624 | + | 0.964624i | ||||
\(154\) | −2.65752 | + | 2.26581i | −0.214149 | + | 0.182585i | ||||
\(155\) | 3.12183 | − | 0.614110i | 0.250752 | − | 0.0493265i | ||||
\(156\) | 3.63159 | − | 2.60858i | 0.290760 | − | 0.208853i | ||||
\(157\) | −16.5963 | − | 4.44696i | −1.32453 | − | 0.354906i | −0.473856 | − | 0.880603i | \(-0.657138\pi\) |
−0.850672 | + | 0.525696i | \(0.823805\pi\) | |||||||
\(158\) | −1.75470 | − | 5.45058i | −0.139596 | − | 0.433625i | ||||
\(159\) | 1.47151 | − | 2.54872i | 0.116698 | − | 0.202127i | ||||
\(160\) | 9.63948 | − | 8.19026i | 0.762068 | − | 0.647497i | ||||
\(161\) | −2.59425 | + | 6.29606i | −0.204455 | + | 0.496199i | ||||
\(162\) | 10.7685 | + | 2.31941i | 0.846055 | + | 0.182230i | ||||
\(163\) | −6.27040 | − | 23.4014i | −0.491135 | − | 1.83294i | −0.550680 | − | 0.834717i | \(-0.685631\pi\) |
0.0595442 | − | 0.998226i | \(-0.481035\pi\) | |||||||
\(164\) | −1.21422 | − | 12.1870i | −0.0948147 | − | 0.951647i | ||||
\(165\) | −0.0520807 | + | 0.769653i | −0.00405448 | + | 0.0599174i | ||||
\(166\) | 0.914889 | + | 18.4108i | 0.0710092 | + | 1.42895i | ||||
\(167\) | 0.324222 | − | 0.324222i | 0.0250891 | − | 0.0250891i | −0.694451 | − | 0.719540i | \(-0.744353\pi\) |
0.719540 | + | 0.694451i | \(0.244353\pi\) | |||||||
\(168\) | −2.76541 | + | 0.0550701i | −0.213356 | + | 0.00424875i | ||||
\(169\) | 23.5862i | 1.81432i | ||||||||
\(170\) | 4.50001 | + | 18.0839i | 0.345135 | + | 1.38697i | ||||
\(171\) | −7.52795 | − | 13.0388i | −0.575677 | − | 0.997101i | ||||
\(172\) | 15.5058 | + | 12.6960i | 1.18231 | + | 0.968061i | ||||
\(173\) | −11.2669 | + | 3.01895i | −0.856605 | + | 0.229526i | −0.660287 | − | 0.751014i | \(-0.729565\pi\) |
−0.196318 | + | 0.980540i | \(0.562898\pi\) | |||||||
\(174\) | 2.26477 | − | 1.46206i | 0.171692 | − | 0.110838i | ||||
\(175\) | 12.7861 | − | 3.39349i | 0.966538 | − | 0.256524i | ||||
\(176\) | 2.46797 | + | 2.80139i | 0.186030 | + | 0.211162i | ||||
\(177\) | 0.360239 | − | 0.0965257i | 0.0270772 | − | 0.00725531i | ||||
\(178\) | 16.0736 | − | 5.17457i | 1.20477 | − | 0.387850i | ||||
\(179\) | 8.91929 | − | 5.14955i | 0.666659 | − | 0.384896i | −0.128151 | − | 0.991755i | \(-0.540904\pi\) |
0.794810 | + | 0.606859i | \(0.207571\pi\) | |||||||
\(180\) | 8.76290 | − | 9.33760i | 0.653148 | − | 0.695984i | ||||
\(181\) | − | 4.32971i | − | 0.321825i | −0.986969 | − | 0.160912i | \(-0.948556\pi\) | ||
0.986969 | − | 0.160912i | \(-0.0514436\pi\) | |||||||
\(182\) | 12.8348 | − | 18.6407i | 0.951380 | − | 1.38174i | ||||
\(183\) | 0.859272 | + | 0.859272i | 0.0635192 | + | 0.0635192i | ||||
\(184\) | 6.77482 | + | 2.66395i | 0.499446 | + | 0.196389i | ||||
\(185\) | 0.252175 | − | 3.72667i | 0.0185403 | − | 0.273990i | ||||
\(186\) | −0.339455 | + | 0.661783i | −0.0248901 | + | 0.0485243i | ||||
\(187\) | −5.31292 | + | 1.42359i | −0.388519 | + | 0.104103i | ||||
\(188\) | 17.7516 | − | 6.70413i | 1.29467 | − | 0.488949i | ||||
\(189\) | −5.68343 | + | 0.758962i | −0.413409 | + | 0.0552063i | ||||
\(190\) | −16.6248 | − | 0.297825i | −1.20609 | − | 0.0216065i | ||||
\(191\) | −18.9512 | − | 10.9415i | −1.37126 | − | 0.791696i | −0.380171 | − | 0.924916i | \(-0.624135\pi\) |
−0.991086 | + | 0.133221i | \(0.957468\pi\) | |||||||
\(192\) | 0.106764 | + | 2.95501i | 0.00770501 | + | 0.213259i | ||||
\(193\) | 21.2377 | + | 5.69064i | 1.52873 | + | 0.409621i | 0.922603 | − | 0.385750i | \(-0.126057\pi\) |
0.606123 | + | 0.795371i | \(0.292724\pi\) | |||||||
\(194\) | −8.81440 | + | 0.438015i | −0.632837 | + | 0.0314476i | ||||
\(195\) | −0.964912 | − | 4.90513i | −0.0690988 | − | 0.351264i | ||||
\(196\) | −13.0787 | + | 4.99484i | −0.934191 | + | 0.356774i | ||||
\(197\) | −0.857585 | + | 0.857585i | −0.0611004 | + | 0.0611004i | −0.736997 | − | 0.675896i | \(-0.763757\pi\) |
0.675896 | + | 0.736997i | \(0.263757\pi\) | |||||||
\(198\) | 2.80193 | + | 2.53664i | 0.199124 | + | 0.180271i | ||||
\(199\) | 4.95165 | + | 8.57652i | 0.351013 | + | 0.607973i | 0.986427 | − | 0.164199i | \(-0.0525038\pi\) |
−0.635414 | + | 0.772172i | \(0.719170\pi\) | |||||||
\(200\) | −3.84878 | − | 13.6083i | −0.272150 | − | 0.962255i | ||||
\(201\) | 0.375732 | − | 0.650787i | 0.0265021 | − | 0.0459030i | ||||
\(202\) | −0.450129 | + | 2.08985i | −0.0316709 | + | 0.147041i | ||||
\(203\) | 8.28609 | − | 10.8402i | 0.581569 | − | 0.760833i | ||||
\(204\) | −3.97005 | − | 1.79340i | −0.277959 | − | 0.125563i | ||||
\(205\) | −12.9569 | − | 4.42887i | −0.904952 | − | 0.309326i | ||||
\(206\) | 2.97450 | − | 5.79892i | 0.207243 | − | 0.404030i | ||||
\(207\) | 7.11861 | + | 1.90742i | 0.494777 | + | 0.132575i | ||||
\(208\) | −20.1474 | − | 13.3963i | −1.39697 | − | 0.928868i | ||||
\(209\) | − | 4.90769i | − | 0.339472i | ||||||
\(210\) | −1.22915 | + | 2.83767i | −0.0848193 | + | 0.195818i | ||||
\(211\) | 18.4290 | 1.26871 | 0.634354 | − | 0.773043i | \(-0.281266\pi\) | ||||
0.634354 | + | 0.773043i | \(0.281266\pi\) | |||||||
\(212\) | −15.7149 | − | 2.57631i | −1.07930 | − | 0.176941i | ||||
\(213\) | 1.19978 | − | 4.47762i | 0.0822073 | − | 0.306802i | ||||
\(214\) | −8.12213 | + | 15.8344i | −0.555217 | + | 1.08242i | ||||
\(215\) | 20.1161 | − | 9.86734i | 1.37191 | − | 0.672947i | ||||
\(216\) | 0.909699 | + | 6.06190i | 0.0618972 | + | 0.412460i | ||||
\(217\) | −0.484457 | + | 3.73329i | −0.0328871 | + | 0.253432i | ||||
\(218\) | 5.94939 | + | 1.28143i | 0.402944 | + | 0.0867893i | ||||
\(219\) | −1.06278 | − | 0.613597i | −0.0718161 | − | 0.0414630i | ||||
\(220\) | 3.99558 | − | 1.20775i | 0.269382 | − | 0.0814264i | ||||
\(221\) | 30.8694 | − | 17.8225i | 2.07650 | − | 1.19887i | ||||
\(222\) | 0.647300 | + | 0.586013i | 0.0434440 | + | 0.0393306i | ||||
\(223\) | 15.5226 | + | 15.5226i | 1.03947 | + | 1.03947i | 0.999188 | + | 0.0402785i | \(0.0128245\pi\) |
0.0402785 | + | 0.999188i | \(0.487175\pi\) | |||||||
\(224\) | 5.56554 | + | 13.8933i | 0.371863 | + | 0.928288i | ||||
\(225\) | −5.42285 | − | 13.2502i | −0.361523 | − | 0.883344i | ||||
\(226\) | 0.324448 | + | 6.52904i | 0.0215820 | + | 0.434305i | ||||
\(227\) | −5.45937 | + | 20.3746i | −0.362351 | + | 1.35231i | 0.508625 | + | 0.860988i | \(0.330154\pi\) |
−0.870977 | + | 0.491325i | \(0.836513\pi\) | |||||||
\(228\) | 2.46246 | − | 3.00744i | 0.163080 | − | 0.199172i | ||||
\(229\) | −5.62790 | + | 9.74781i | −0.371902 | + | 0.644153i | −0.989858 | − | 0.142059i | \(-0.954628\pi\) |
0.617956 | + | 0.786213i | \(0.287961\pi\) | |||||||
\(230\) | 5.85731 | − | 5.65114i | 0.386220 | − | 0.372625i | ||||
\(231\) | −0.843915 | − | 0.347729i | −0.0555255 | − | 0.0228789i | ||||
\(232\) | −11.7307 | − | 8.66928i | −0.770155 | − | 0.569166i | ||||
\(233\) | 4.07176 | + | 15.1960i | 0.266750 | + | 0.995523i | 0.961171 | + | 0.275954i | \(0.0889938\pi\) |
−0.694421 | + | 0.719569i | \(0.744340\pi\) | |||||||
\(234\) | −21.7938 | − | 11.1789i | −1.42471 | − | 0.730789i | ||||
\(235\) | 1.43230 | − | 21.1667i | 0.0934332 | − | 1.38076i | ||||
\(236\) | −1.17730 | − | 1.63901i | −0.0766359 | − | 0.106690i | ||||
\(237\) | 1.05822 | − | 1.05822i | 0.0687390 | − | 0.0687390i | ||||
\(238\) | −21.9803 | − | 1.74876i | −1.42477 | − | 0.113355i | ||||
\(239\) | 13.7719 | 0.890831 | 0.445415 | − | 0.895324i | \(-0.353056\pi\) | ||||
0.445415 | + | 0.895324i | \(0.353056\pi\) | |||||||
\(240\) | 3.05448 | + | 1.26469i | 0.197166 | + | 0.0816355i | ||||
\(241\) | −0.456648 | − | 0.790937i | −0.0294153 | − | 0.0509487i | 0.850943 | − | 0.525258i | \(-0.176031\pi\) |
−0.880358 | + | 0.474309i | \(0.842698\pi\) | |||||||
\(242\) | −4.38956 | − | 13.6352i | −0.282172 | − | 0.876503i | ||||
\(243\) | 2.42788 | + | 9.06096i | 0.155748 | + | 0.581261i | ||||
\(244\) | 2.70696 | − | 5.99238i | 0.173295 | − | 0.383623i | ||||
\(245\) | −0.998831 | + | 15.6206i | −0.0638130 | + | 0.997962i | ||||
\(246\) | 2.68925 | − | 1.73609i | 0.171461 | − | 0.110689i | ||||
\(247\) | 8.23156 | + | 30.7206i | 0.523762 | + | 1.95471i | ||||
\(248\) | 3.99892 | + | 0.453174i | 0.253932 | + | 0.0287766i | ||||
\(249\) | −4.17230 | + | 2.40888i | −0.264409 | + | 0.152656i | ||||
\(250\) | −15.6266 | − | 2.41037i | −0.988312 | − | 0.152445i | ||||
\(251\) | 0.192874 | 0.0121741 | 0.00608705 | − | 0.999981i | \(-0.498062\pi\) | ||||
0.00608705 | + | 0.999981i | \(0.498062\pi\) | |||||||
\(252\) | 7.18226 | + | 13.3411i | 0.452440 | + | 0.840413i | ||||
\(253\) | 1.69866 | + | 1.69866i | 0.106794 | + | 0.106794i | ||||
\(254\) | 0.497446 | + | 10.0104i | 0.0312126 | + | 0.628106i | ||||
\(255\) | −3.66864 | + | 3.20361i | −0.229739 | + | 0.200618i | ||||
\(256\) | 14.7543 | − | 6.18967i | 0.922141 | − | 0.386854i | ||||
\(257\) | 18.6795 | − | 5.00515i | 1.16519 | − | 0.312213i | 0.376156 | − | 0.926556i | \(-0.377246\pi\) |
0.789039 | + | 0.614343i | \(0.210579\pi\) | |||||||
\(258\) | −1.10285 | + | 5.12031i | −0.0686607 | + | 0.318776i | ||||
\(259\) | 4.08625 | + | 1.68371i | 0.253907 | + | 0.104621i | ||||
\(260\) | −22.9853 | + | 14.2618i | −1.42549 | + | 0.884480i | ||||
\(261\) | −12.7884 | − | 7.38336i | −0.791580 | − | 0.457019i | ||||
\(262\) | 2.38302 | + | 7.40232i | 0.147223 | + | 0.457317i | ||||
\(263\) | −5.24206 | + | 19.5636i | −0.323239 | + | 1.20635i | 0.592831 | + | 0.805327i | \(0.298010\pi\) |
−0.916070 | + | 0.401018i | \(0.868656\pi\) | |||||||
\(264\) | −0.357072 | + | 0.908088i | −0.0219763 | + | 0.0558889i | ||||
\(265\) | −9.92285 | + | 14.7828i | −0.609556 | + | 0.908101i | ||||
\(266\) | 6.58312 | − | 18.5399i | 0.403637 | − | 1.13675i | ||||
\(267\) | 3.12068 | + | 3.12068i | 0.190982 | + | 0.190982i | ||||
\(268\) | −4.01262 | − | 0.657830i | −0.245110 | − | 0.0401833i | ||||
\(269\) | 2.29596 | + | 3.97672i | 0.139987 | + | 0.242465i | 0.927491 | − | 0.373844i | \(-0.121961\pi\) |
−0.787504 | + | 0.616309i | \(0.788627\pi\) | |||||||
\(270\) | 6.58695 | + | 1.89205i | 0.400869 | + | 0.115147i | ||||
\(271\) | 18.4195 | + | 10.6345i | 1.11890 | + | 0.645999i | 0.941121 | − | 0.338071i | \(-0.109774\pi\) |
0.177782 | + | 0.984070i | \(0.443108\pi\) | |||||||
\(272\) | −1.48854 | + | 23.5251i | −0.0902561 | + | 1.42642i | ||||
\(273\) | 5.86588 | + | 0.761195i | 0.355019 | + | 0.0460696i | ||||
\(274\) | −0.912678 | − | 1.41377i | −0.0551369 | − | 0.0854087i | ||||
\(275\) | 0.628707 | − | 4.62427i | 0.0379125 | − | 0.278854i | ||||
\(276\) | 0.188629 | + | 1.89325i | 0.0113541 | + | 0.113960i | ||||
\(277\) | 15.4644 | + | 4.14367i | 0.929164 | + | 0.248969i | 0.691498 | − | 0.722378i | \(-0.256951\pi\) |
0.237666 | + | 0.971347i | \(0.423618\pi\) | |||||||
\(278\) | 7.58602 | + | 6.86777i | 0.454979 | + | 0.411901i | ||||
\(279\) | 4.07426 | 0.243920 | ||||||||
\(280\) | 16.7142 | + | 0.797095i | 0.998865 | + | 0.0476355i | ||||
\(281\) | −18.0107 | −1.07443 | −0.537214 | − | 0.843446i | \(-0.680523\pi\) | ||||
−0.537214 | + | 0.843446i | \(0.680523\pi\) | |||||||
\(282\) | 3.67653 | + | 3.32844i | 0.218934 | + | 0.198205i | ||||
\(283\) | 3.61970 | + | 0.969897i | 0.215169 | + | 0.0576544i | 0.364793 | − | 0.931089i | \(-0.381140\pi\) |
−0.149624 | + | 0.988743i | \(0.547806\pi\) | |||||||
\(284\) | −24.9596 | + | 2.48678i | −1.48108 | + | 0.147563i | ||||
\(285\) | −1.91382 | − | 3.90163i | −0.113365 | − | 0.231113i | ||||
\(286\) | −4.33029 | − | 6.70775i | −0.256055 | − | 0.396638i | ||||
\(287\) | 9.83914 | − | 12.8720i | 0.580786 | − | 0.759808i | ||||
\(288\) | 14.1360 | − | 7.90823i | 0.832973 | − | 0.465997i | ||||
\(289\) | −15.3528 | − | 8.86395i | −0.903106 | − | 0.521409i | ||||
\(290\) | −14.2671 | + | 7.89980i | −0.837791 | + | 0.463892i | ||||
\(291\) | −1.15328 | − | 1.99754i | −0.0676065 | − | 0.117098i | ||||
\(292\) | −1.07428 | + | 6.55288i | −0.0628676 | + | 0.383478i | ||||
\(293\) | 6.03311 | + | 6.03311i | 0.352458 | + | 0.352458i | 0.861023 | − | 0.508565i | \(-0.169824\pi\) |
−0.508565 | + | 0.861023i | \(0.669824\pi\) | |||||||
\(294\) | −2.72163 | − | 2.44564i | −0.158729 | − | 0.142633i | ||||
\(295\) | −2.21379 | + | 0.435484i | −0.128892 | + | 0.0253549i | ||||
\(296\) | 1.72895 | − | 4.39697i | 0.100493 | − | 0.255569i | ||||
\(297\) | −0.523536 | + | 1.95386i | −0.0303786 | + | 0.113375i | ||||
\(298\) | 1.41252 | + | 4.38767i | 0.0818250 | + | 0.254171i | ||||
\(299\) | −13.4822 | − | 7.78396i | −0.779696 | − | 0.450158i | ||||
\(300\) | 2.70552 | − | 2.51830i | 0.156203 | − | 0.145394i | ||||
\(301\) | 3.50911 | + | 26.2777i | 0.202262 | + | 1.51462i | ||||
\(302\) | −5.36150 | + | 24.8923i | −0.308520 | + | 1.43239i | ||||
\(303\) | −0.539687 | + | 0.144609i | −0.0310042 | + | 0.00830756i | ||||
\(304\) | −19.9314 | − | 6.71560i | −1.14314 | − | 0.385166i | ||||
\(305\) | −4.83551 | − | 5.53743i | −0.276881 | − | 0.317072i | ||||
\(306\) | 1.18439 | + | 23.8341i | 0.0677070 | + | 1.36250i | ||||
\(307\) | −14.8970 | − | 14.8970i | −0.850215 | − | 0.850215i | 0.139944 | − | 0.990159i | \(-0.455308\pi\) |
−0.990159 | + | 0.139944i | \(0.955308\pi\) | |||||||
\(308\) | −0.146866 | + | 4.93671i | −0.00836845 | + | 0.281295i | ||||
\(309\) | 1.70335 | 0.0969002 | ||||||||
\(310\) | 2.31921 | − | 3.85580i | 0.131722 | − | 0.218995i | ||||
\(311\) | 3.12920 | − | 1.80664i | 0.177441 | − | 0.102445i | −0.408649 | − | 0.912692i | \(-0.634000\pi\) |
0.586090 | + | 0.810246i | \(0.300667\pi\) | |||||||
\(312\) | 0.712043 | − | 6.28325i | 0.0403115 | − | 0.355719i | ||||
\(313\) | 0.450144 | + | 1.67996i | 0.0254437 | + | 0.0949570i | 0.977480 | − | 0.211028i | \(-0.0676810\pi\) |
−0.952036 | + | 0.305985i | \(0.901014\pi\) | |||||||
\(314\) | −20.4143 | + | 13.1788i | −1.15205 | + | 0.743721i | ||||
\(315\) | 16.9040 | − | 1.10352i | 0.952434 | − | 0.0621764i | ||||
\(316\) | −7.37983 | − | 3.33371i | −0.415148 | − | 0.187536i | ||||
\(317\) | 0.369498 | + | 1.37898i | 0.0207531 | + | 0.0774515i | 0.975526 | − | 0.219885i | \(-0.0705683\pi\) |
−0.954773 | + | 0.297337i | \(0.903902\pi\) | |||||||
\(318\) | −1.27542 | − | 3.96181i | −0.0715221 | − | 0.222167i | ||||
\(319\) | −2.40672 | − | 4.16856i | −0.134750 | − | 0.233394i | ||||
\(320\) | 0.562515 | − | 17.8797i | 0.0314455 | − | 0.999505i | ||||
\(321\) | −4.65114 | −0.259601 | ||||||||
\(322\) | 4.13849 | + | 8.69562i | 0.230629 | + | 0.484588i | ||||
\(323\) | 21.9105 | − | 21.9105i | 1.21913 | − | 1.21913i | ||||
\(324\) | 12.6525 | − | 9.08827i | 0.702914 | − | 0.504904i | ||||
\(325\) | 3.82067 | + | 30.0010i | 0.211933 | + | 1.66415i | ||||
\(326\) | −30.4855 | − | 15.6373i | −1.68844 | − | 0.866068i | ||||
\(327\) | 0.411673 | + | 1.53639i | 0.0227656 | + | 0.0849623i | ||||
\(328\) | −13.9293 | − | 10.2942i | −0.769119 | − | 0.568399i | ||||
\(329\) | 23.2090 | + | 9.56312i | 1.27956 | + | 0.527232i | ||||
\(330\) | 0.757472 | + | 0.785106i | 0.0416974 | + | 0.0432187i | ||||
\(331\) | 4.50741 | − | 7.80706i | 0.247750 | − | 0.429115i | −0.715152 | − | 0.698969i | \(-0.753642\pi\) |
0.962901 | + | 0.269855i | \(0.0869757\pi\) | |||||||
\(332\) | 20.1702 | + | 16.5152i | 1.10698 | + | 0.906388i | ||||
\(333\) | 1.23795 | − | 4.62010i | 0.0678393 | − | 0.253180i | ||||
\(334\) | −0.0321835 | − | 0.647645i | −0.00176100 | − | 0.0354376i | ||||
\(335\) | −2.53368 | + | 3.77462i | −0.138430 | + | 0.206229i | ||||
\(336\) | −2.56701 | + | 2.95152i | −0.140042 | + | 0.161019i | ||||
\(337\) | −14.5042 | − | 14.5042i | −0.790093 | − | 0.790093i | 0.191416 | − | 0.981509i | \(-0.438692\pi\) |
−0.981509 | + | 0.191416i | \(0.938692\pi\) | |||||||
\(338\) | 24.7278 | + | 22.3865i | 1.34501 | + | 1.21767i | ||||
\(339\) | −1.47963 | + | 0.854263i | −0.0803623 | + | 0.0463972i | ||||
\(340\) | 23.2303 | + | 12.4463i | 1.25984 | + | 0.674996i | ||||
\(341\) | 1.15014 | + | 0.664033i | 0.0622835 | + | 0.0359594i | ||||
\(342\) | −20.8149 | − | 4.48328i | −1.12554 | − | 0.242428i | ||||
\(343\) | −17.1496 | − | 6.99211i | −0.925994 | − | 0.377538i | ||||
\(344\) | 28.0276 | − | 4.20605i | 1.51115 | − | 0.226775i | ||||
\(345\) | 2.01286 | + | 0.688024i | 0.108369 | + | 0.0370420i | ||||
\(346\) | −7.52873 | + | 14.6776i | −0.404747 | + | 0.789071i | ||||
\(347\) | −4.33964 | + | 16.1957i | −0.232964 | + | 0.869433i | 0.746092 | + | 0.665842i | \(0.231928\pi\) |
−0.979056 | + | 0.203590i | \(0.934739\pi\) | |||||||
\(348\) | 0.616756 | − | 3.76207i | 0.0330616 | − | 0.201668i | ||||
\(349\) | 2.69468 | 0.144243 | 0.0721214 | − | 0.997396i | \(-0.477023\pi\) | ||||
0.0721214 | + | 0.997396i | \(0.477023\pi\) | |||||||
\(350\) | 8.57801 | − | 16.6258i | 0.458514 | − | 0.888687i | ||||
\(351\) | − | 13.1087i | − | 0.699689i | ||||||
\(352\) | 5.27941 | + | 0.0714778i | 0.281394 | + | 0.00380978i | ||||
\(353\) | −8.71218 | − | 2.33442i | −0.463703 | − | 0.124249i | 0.0194013 | − | 0.999812i | \(-0.493824\pi\) |
−0.483104 | + | 0.875563i | \(0.660491\pi\) | |||||||
\(354\) | 0.240718 | − | 0.469290i | 0.0127940 | − | 0.0249425i | ||||
\(355\) | −9.07054 | + | 26.5364i | −0.481414 | + | 1.40841i | ||||
\(356\) | 9.83105 | − | 21.7630i | 0.521045 | − | 1.15343i | ||||
\(357\) | −2.21523 | − | 5.32011i | −0.117242 | − | 0.281570i | ||||
\(358\) | 3.06683 | − | 14.2386i | 0.162087 | − | 0.752534i | ||||
\(359\) | 7.69847 | − | 13.3341i | 0.406310 | − | 0.703749i | −0.588163 | − | 0.808742i | \(-0.700149\pi\) |
0.994473 | + | 0.104993i | \(0.0334821\pi\) | |||||||
\(360\) | −1.47235 | − | 18.0497i | −0.0775997 | − | 0.951301i | ||||
\(361\) | 4.32370 | + | 7.48887i | 0.227563 | + | 0.394151i | ||||
\(362\) | −4.53926 | − | 4.10948i | −0.238578 | − | 0.215989i | ||||
\(363\) | 2.64726 | − | 2.64726i | 0.138945 | − | 0.138945i | ||||
\(364\) | −7.36089 | − | 31.1485i | −0.385815 | − | 1.63263i | ||||
\(365\) | 6.16421 | + | 4.13768i | 0.322650 | + | 0.216576i | ||||
\(366\) | 1.71643 | − | 0.0852945i | 0.0897190 | − | 0.00445841i | ||||
\(367\) | 6.35657 | + | 1.70324i | 0.331810 | + | 0.0889083i | 0.420878 | − | 0.907117i | \(-0.361722\pi\) |
−0.0890677 | + | 0.996026i | \(0.528389\pi\) | |||||||
\(368\) | 9.22310 | − | 4.57427i | 0.480788 | − | 0.238450i | ||||
\(369\) | −15.1853 | − | 8.76722i | −0.790514 | − | 0.456403i | ||||
\(370\) | −3.66769 | − | 3.80149i | −0.190674 | − | 0.197630i | ||||
\(371\) | −12.8554 | − | 16.6893i | −0.667417 | − | 0.866464i | ||||
\(372\) | 0.371623 | + | 0.984006i | 0.0192678 | + | 0.0510183i | ||||
\(373\) | 1.83269 | − | 0.491068i | 0.0948931 | − | 0.0254265i | −0.211060 | − | 0.977473i | \(-0.567692\pi\) |
0.305953 | + | 0.952047i | \(0.401025\pi\) | |||||||
\(374\) | −3.55019 | + | 6.92124i | −0.183576 | + | 0.357889i | ||||
\(375\) | −1.30347 | − | 3.92148i | −0.0673111 | − | 0.202504i | ||||
\(376\) | 9.82007 | − | 24.9739i | 0.506431 | − | 1.28793i | ||||
\(377\) | 22.0571 | + | 22.0571i | 1.13600 | + | 1.13600i | ||||
\(378\) | −4.59865 | + | 6.67886i | −0.236529 | + | 0.343524i | ||||
\(379\) | − | 8.18575i | − | 0.420473i | −0.977651 | − | 0.210237i | \(-0.932577\pi\) | ||
0.977651 | − | 0.210237i | \(-0.0674235\pi\) | |||||||
\(380\) | −16.0915 | + | 17.1468i | −0.825475 | + | 0.879612i | ||||
\(381\) | −2.26857 | + | 1.30976i | −0.116223 | + | 0.0671011i | ||||
\(382\) | −29.4582 | + | 9.48345i | −1.50721 | + | 0.485216i | ||||
\(383\) | −34.8240 | + | 9.33107i | −1.77943 | + | 0.476796i | −0.990479 | − | 0.137666i | \(-0.956040\pi\) |
−0.788947 | + | 0.614462i | \(0.789373\pi\) | |||||||
\(384\) | 3.19936 | + | 2.69277i | 0.163267 | + | 0.137415i | ||||
\(385\) | 4.95176 | + | 2.44354i | 0.252365 | + | 0.124534i | ||||
\(386\) | 26.1236 | − | 16.8645i | 1.32965 | − | 0.858378i | ||||
\(387\) | 27.7141 | − | 7.42596i | 1.40878 | − | 0.377483i | ||||
\(388\) | −7.90685 | + | 9.65674i | −0.401409 | + | 0.490247i | ||||
\(389\) | −4.99176 | − | 8.64599i | −0.253092 | − | 0.438369i | 0.711283 | − | 0.702906i | \(-0.248114\pi\) |
−0.964376 | + | 0.264537i | \(0.914781\pi\) | |||||||
\(390\) | −6.05837 | − | 3.64403i | −0.306778 | − | 0.184522i | ||||
\(391\) | 15.1674i | 0.767048i | ||||||||
\(392\) | −7.17685 | + | 18.4524i | −0.362486 | + | 0.931989i | ||||
\(393\) | −1.43715 | + | 1.43715i | −0.0724947 | + | 0.0724947i | ||||
\(394\) | 0.0851271 | + | 1.71306i | 0.00428864 | + | 0.0863025i | ||||
\(395\) | −6.81954 | + | 5.95510i | −0.343128 | + | 0.299634i | ||||
\(396\) | 5.31881 | − | 0.529925i | 0.267281 | − | 0.0266297i | ||||
\(397\) | −6.36274 | − | 23.7461i | −0.319337 | − | 1.19178i | −0.919884 | − | 0.392191i | \(-0.871717\pi\) |
0.600547 | − | 0.799589i | \(-0.294949\pi\) | |||||||
\(398\) | 13.6914 | + | 2.94897i | 0.686288 | + | 0.147818i | ||||
\(399\) | 5.09671 | − | 0.680611i | 0.255154 | − | 0.0340731i | ||||
\(400\) | −17.9200 | − | 8.88110i | −0.895999 | − | 0.444055i | ||||
\(401\) | −0.336778 | + | 0.583317i | −0.0168179 | + | 0.0291295i | −0.874312 | − | 0.485365i | \(-0.838687\pi\) |
0.857494 | + | 0.514494i | \(0.172020\pi\) | |||||||
\(402\) | −0.325664 | − | 1.01160i | −0.0162426 | − | 0.0504541i | ||||
\(403\) | −8.31327 | − | 2.22753i | −0.414113 | − | 0.110961i | ||||
\(404\) | 1.76376 | + | 2.45546i | 0.0877505 | + | 0.122164i | ||||
\(405\) | −3.36175 | − | 17.0895i | −0.167047 | − | 0.849183i | ||||
\(406\) | −3.50024 | − | 18.9759i | −0.173714 | − | 0.941760i | ||||
\(407\) | 1.10246 | − | 1.10246i | 0.0546469 | − | 0.0546469i | ||||
\(408\) | −5.64832 | + | 2.46002i | −0.279634 | + | 0.121789i | ||||
\(409\) | −16.9971 | + | 9.81326i | −0.840450 | + | 0.485234i | −0.857417 | − | 0.514622i | \(-0.827932\pi\) |
0.0169669 | + | 0.999856i | \(0.494599\pi\) | |||||||
\(410\) | −16.9411 | + | 9.38045i | −0.836663 | + | 0.463268i | ||||
\(411\) | 0.219903 | − | 0.380883i | 0.0108470 | − | 0.0187876i | ||||
\(412\) | −3.25638 | − | 8.62243i | −0.160430 | − | 0.424797i | ||||
\(413\) | 0.343543 | − | 2.64739i | 0.0169046 | − | 0.130270i | ||||
\(414\) | 8.75627 | − | 5.65274i | 0.430347 | − | 0.277817i | ||||
\(415\) | 26.1674 | − | 12.8356i | 1.28451 | − | 0.630075i | ||||
\(416\) | −33.1673 | + | 8.40760i | −1.62616 | + | 0.412217i | ||||
\(417\) | −0.692206 | + | 2.58335i | −0.0338975 | + | 0.126507i | ||||
\(418\) | −5.14522 | − | 4.65807i | −0.251661 | − | 0.227834i | ||||
\(419\) | 18.0799i | 0.883263i | 0.897197 | + | 0.441631i | \(0.145600\pi\) | ||||
−0.897197 | + | 0.441631i | \(0.854400\pi\) | |||||||
\(420\) | 1.80838 | + | 3.98197i | 0.0882398 | + | 0.194300i | ||||
\(421\) | − | 16.5073i | − | 0.804518i | −0.915526 | − | 0.402259i | \(-0.868225\pi\) | ||
0.915526 | − | 0.402259i | \(-0.131775\pi\) | |||||||
\(422\) | 17.4917 | − | 19.3210i | 0.851481 | − | 0.940531i | ||||
\(423\) | 7.03131 | − | 26.2412i | 0.341874 | − | 1.27589i | ||||
\(424\) | −17.6166 | + | 14.0302i | −0.855537 | + | 0.681368i | ||||
\(425\) | 23.4520 | − | 17.8382i | 1.13759 | − | 0.865281i | ||||
\(426\) | −3.55559 | − | 5.50772i | −0.172269 | − | 0.266850i | ||||
\(427\) | 8.03016 | − | 3.34366i | 0.388606 | − | 0.161811i | ||||
\(428\) | 8.89182 | + | 23.5443i | 0.429802 | + | 1.13806i | ||||
\(429\) | 1.04335 | − | 1.80714i | 0.0503735 | − | 0.0872494i | ||||
\(430\) | 8.74802 | − | 30.4552i | 0.421867 | − | 1.46868i | ||||
\(431\) | −14.3957 | + | 8.31135i | −0.693416 | + | 0.400344i | −0.804890 | − | 0.593423i | \(-0.797776\pi\) |
0.111475 | + | 0.993767i | \(0.464443\pi\) | |||||||
\(432\) | 7.21872 | + | 4.79984i | 0.347311 | + | 0.230932i | ||||
\(433\) | 18.2234 | − | 18.2234i | 0.875760 | − | 0.875760i | −0.117332 | − | 0.993093i | \(-0.537434\pi\) |
0.993093 | + | 0.117332i | \(0.0374343\pi\) | |||||||
\(434\) | 3.45417 | + | 4.05130i | 0.165805 | + | 0.194469i | ||||
\(435\) | −3.53893 | − | 2.37548i | −0.169679 | − | 0.113896i | ||||
\(436\) | 6.99023 | − | 5.02109i | 0.334771 | − | 0.240467i | ||||
\(437\) | −13.0720 | − | 3.50264i | −0.625319 | − | 0.167554i | ||||
\(438\) | −1.65202 | + | 0.531832i | −0.0789365 | + | 0.0254119i | ||||
\(439\) | −0.223132 | + | 0.386476i | −0.0106495 | + | 0.0184455i | −0.871301 | − | 0.490749i | \(-0.836723\pi\) |
0.860652 | + | 0.509194i | \(0.170057\pi\) | |||||||
\(440\) | 2.52614 | − | 5.33528i | 0.120429 | − | 0.254349i | ||||
\(441\) | −5.11585 | + | 19.3798i | −0.243612 | + | 0.922848i | ||||
\(442\) | 10.6142 | − | 49.2794i | 0.504866 | − | 2.34398i | ||||
\(443\) | 10.0048 | + | 37.3383i | 0.475341 | + | 1.77400i | 0.620094 | + | 0.784528i | \(0.287095\pi\) |
−0.144753 | + | 0.989468i | \(0.546239\pi\) | |||||||
\(444\) | 1.22875 | − | 0.122423i | 0.0583140 | − | 0.00580995i | ||||
\(445\) | −17.5615 | − | 20.1107i | −0.832494 | − | 0.953337i | ||||
\(446\) | 31.0068 | − | 1.54083i | 1.46822 | − | 0.0729602i | ||||
\(447\) | −0.851862 | + | 0.851862i | −0.0402917 | + | 0.0402917i | ||||
\(448\) | 19.8482 | + | 7.35176i | 0.937740 | + | 0.347338i | ||||
\(449\) | − | 31.7000i | − | 1.49602i | −0.663689 | − | 0.748008i | \(-0.731010\pi\) | ||
0.663689 | − | 0.748008i | \(-0.268990\pi\) | |||||||
\(450\) | −19.0385 | − | 6.89089i | −0.897483 | − | 0.324840i | ||||
\(451\) | −2.85781 | − | 4.94987i | −0.134569 | − | 0.233080i | ||||
\(452\) | 7.15299 | + | 5.85680i | 0.336448 | + | 0.275480i | ||||
\(453\) | −6.42824 | + | 1.72244i | −0.302025 | + | 0.0809274i | ||||
\(454\) | 16.1791 | + | 25.0619i | 0.759322 | + | 1.17621i | ||||
\(455\) | −35.0949 | − | 6.99033i | −1.64527 | − | 0.327712i | ||||
\(456\) | −0.815787 | − | 5.43610i | −0.0382027 | − | 0.254569i | ||||
\(457\) | 27.1592 | − | 7.27728i | 1.27045 | − | 0.340417i | 0.440249 | − | 0.897876i | \(-0.354890\pi\) |
0.830205 | + | 0.557459i | \(0.188224\pi\) | |||||||
\(458\) | 4.87796 | + | 15.1523i | 0.227932 | + | 0.708019i | ||||
\(459\) | −11.0604 | + | 6.38571i | −0.516254 | + | 0.298059i | ||||
\(460\) | −0.365272 | − | 11.5045i | −0.0170309 | − | 0.536400i | ||||
\(461\) | 3.03886i | 0.141534i | 0.997493 | + | 0.0707669i | \(0.0225447\pi\) | ||||
−0.997493 | + | 0.0707669i | \(0.977455\pi\) | |||||||
\(462\) | −1.16555 | + | 0.554718i | −0.0542263 | + | 0.0258078i | ||||
\(463\) | −4.72295 | − | 4.72295i | −0.219494 | − | 0.219494i | 0.588791 | − | 0.808285i | \(-0.299604\pi\) |
−0.808285 | + | 0.588791i | \(0.799604\pi\) | |||||||
\(464\) | −20.2229 | + | 4.07010i | −0.938822 | + | 0.188950i | ||||
\(465\) | 1.17331 | + | 0.0793955i | 0.0544111 | + | 0.00368188i | ||||
\(466\) | 19.7961 | + | 10.1542i | 0.917038 | + | 0.470386i | ||||
\(467\) | −10.6525 | + | 2.85433i | −0.492939 | + | 0.132082i | −0.496721 | − | 0.867910i | \(-0.665463\pi\) |
0.00378232 | + | 0.999993i | \(0.498796\pi\) | |||||||
\(468\) | −32.4053 | + | 12.2383i | −1.49793 | + | 0.565715i | ||||
\(469\) | −3.28247 | − | 4.26141i | −0.151570 | − | 0.196774i | ||||
\(470\) | −20.8317 | − | 21.5917i | −0.960895 | − | 0.995951i | ||||
\(471\) | −5.49983 | − | 3.17533i | −0.253419 | − | 0.146311i | ||||
\(472\) | −2.83576 | − | 0.321360i | −0.130526 | − | 0.0147918i | ||||
\(473\) | 9.03381 | + | 2.42060i | 0.415375 | + | 0.111299i | ||||
\(474\) | −0.105043 | − | 2.11384i | −0.00482479 | − | 0.0970918i | ||||
\(475\) | 9.95807 | + | 24.3315i | 0.456908 | + | 1.11641i | ||||
\(476\) | −22.6957 | + | 21.3843i | −1.04025 | + | 0.980147i | ||||
\(477\) | −16.1215 | + | 16.1215i | −0.738153 | + | 0.738153i | ||||
\(478\) | 13.0714 | − | 14.4385i | 0.597872 | − | 0.660400i | ||||
\(479\) | −4.81272 | − | 8.33587i | −0.219899 | − | 0.380876i | 0.734878 | − | 0.678199i | \(-0.237239\pi\) |
−0.954777 | + | 0.297323i | \(0.903906\pi\) | |||||||
\(480\) | 4.22502 | − | 2.00196i | 0.192845 | − | 0.0913763i | ||||
\(481\) | −5.05192 | + | 8.75018i | −0.230348 | + | 0.398974i | ||||
\(482\) | −1.26264 | − | 0.271957i | −0.0575116 | − | 0.0123873i | ||||
\(483\) | −1.52851 | + | 1.99966i | −0.0695495 | + | 0.0909876i | ||||
\(484\) | −18.4614 | − | 8.33963i | −0.839155 | − | 0.379074i | ||||
\(485\) | 6.14521 | + | 12.5280i | 0.279039 | + | 0.568866i | ||||
\(486\) | 11.8039 | + | 6.05470i | 0.535436 | + | 0.274647i | ||||
\(487\) | −31.8333 | − | 8.52972i | −1.44251 | − | 0.386518i | −0.549096 | − | 0.835760i | \(-0.685028\pi\) |
−0.893410 | + | 0.449241i | \(0.851694\pi\) | |||||||
\(488\) | −3.71314 | − | 8.52556i | −0.168086 | − | 0.385934i | ||||
\(489\) | − | 8.95469i | − | 0.404945i | ||||||
\(490\) | 15.4286 | + | 15.8732i | 0.696992 | + | 0.717079i | ||||
\(491\) | −29.0829 | −1.31250 | −0.656248 | − | 0.754546i | \(-0.727857\pi\) | ||||
−0.656248 | + | 0.754546i | \(0.727857\pi\) | |||||||
\(492\) | 0.732354 | − | 4.46720i | 0.0330171 | − | 0.201397i | ||||
\(493\) | 7.86575 | − | 29.3554i | 0.354256 | − | 1.32210i | ||||
\(494\) | 40.0203 | + | 20.5281i | 1.80060 | + | 0.923601i | ||||
\(495\) | 1.93290 | − | 5.65483i | 0.0868776 | − | 0.254166i | ||||
\(496\) | 4.27063 | − | 3.76235i | 0.191757 | − | 0.168934i | ||||
\(497\) | −26.3624 | − | 20.1510i | −1.18251 | − | 0.903897i | ||||
\(498\) | −1.43461 | + | 6.66059i | −0.0642865 | + | 0.298468i | ||||
\(499\) | −2.03353 | − | 1.17406i | −0.0910334 | − | 0.0525581i | 0.453792 | − | 0.891108i | \(-0.350071\pi\) |
−0.544826 | + | 0.838549i | \(0.683404\pi\) | |||||||
\(500\) | −17.3588 | + | 14.0951i | −0.776308 | + | 0.630353i | ||||
\(501\) | 0.146771 | − | 0.0847382i | 0.00655724 | − | 0.00378583i | ||||
\(502\) | 0.183064 | − | 0.202209i | 0.00817052 | − | 0.00902502i | ||||
\(503\) | 3.87893 | + | 3.87893i | 0.172953 | + | 0.172953i | 0.788276 | − | 0.615322i | \(-0.210974\pi\) |
−0.615322 | + | 0.788276i | \(0.710974\pi\) | |||||||
\(504\) | 20.8038 | + | 5.13269i | 0.926674 | + | 0.228628i | ||||
\(505\) | 3.31656 | − | 0.652416i | 0.147585 | − | 0.0290321i | ||||
\(506\) | 3.39314 | − | 0.168615i | 0.150843 | − | 0.00749587i | ||||
\(507\) | −2.25635 | + | 8.42080i | −0.100208 | + | 0.373981i | ||||
\(508\) | 10.9670 | + | 8.97968i | 0.486582 | + | 0.398409i | ||||
\(509\) | −6.06913 | + | 10.5120i | −0.269009 | + | 0.465938i | −0.968606 | − | 0.248600i | \(-0.920030\pi\) |
0.699597 | + | 0.714538i | \(0.253363\pi\) | |||||||
\(510\) | −0.123374 | + | 6.88686i | −0.00546311 | + | 0.304955i | ||||
\(511\) | −6.95918 | + | 5.36050i | −0.307856 | + | 0.237134i | ||||
\(512\) | 7.51454 | − | 21.3432i | 0.332099 | − | 0.943245i | ||||
\(513\) | −2.94933 | − | 11.0070i | −0.130216 | − | 0.485973i | ||||
\(514\) | 12.4820 | − | 24.3341i | 0.550556 | − | 1.07333i | ||||
\(515\) | −10.2812 | − | 0.695709i | −0.453046 | − | 0.0306566i | ||||
\(516\) | 4.32137 | + | 6.01610i | 0.190238 | + | 0.264844i | ||||
\(517\) | 6.26175 | − | 6.26175i | 0.275391 | − | 0.275391i | ||||
\(518\) | 5.64360 | − | 2.68595i | 0.247966 | − | 0.118014i | ||||
\(519\) | −4.31133 | −0.189246 | ||||||||
\(520\) | −6.86412 | + | 37.6342i | −0.301012 | + | 1.65037i | ||||
\(521\) | −2.07706 | − | 3.59757i | −0.0909976 | − | 0.157612i | 0.816934 | − | 0.576732i | \(-0.195672\pi\) |
−0.907931 | + | 0.419119i | \(0.862339\pi\) | |||||||
\(522\) | −19.8786 | + | 6.39950i | −0.870063 | + | 0.280098i | ||||
\(523\) | −1.35236 | − | 5.04706i | −0.0591344 | − | 0.220693i | 0.930035 | − | 0.367471i | \(-0.119776\pi\) |
−0.989169 | + | 0.146778i | \(0.953110\pi\) | |||||||
\(524\) | 10.0224 | + | 4.52745i | 0.437830 | + | 0.197782i | ||||
\(525\) | 4.88956 | + | 0.0116162i | 0.213398 | + | 0.000506973i | ||||
\(526\) | 15.5351 | + | 24.0643i | 0.677362 | + | 1.04925i | ||||
\(527\) | 2.17022 | + | 8.09939i | 0.0945364 | + | 0.352815i | ||||
\(528\) | 0.613129 | + | 1.23625i | 0.0266830 | + | 0.0538010i | ||||
\(529\) | −14.1817 | + | 8.18783i | −0.616597 | + | 0.355992i | ||||
\(530\) | 6.08016 | + | 24.4340i | 0.264105 | + | 1.06135i | ||||
\(531\) | −2.88918 | −0.125380 | ||||||||
\(532\) | −13.1889 | − | 24.4986i | −0.571811 | − | 1.06215i | ||||
\(533\) | 26.1913 | + | 26.1913i | 1.13447 | + | 1.13447i | ||||
\(534\) | 6.23366 | − | 0.309770i | 0.269757 | − | 0.0134051i | ||||
\(535\) | 28.0738 | + | 1.89969i | 1.21374 | + | 0.0821309i | ||||
\(536\) | −4.49819 | + | 3.58245i | −0.194292 | + | 0.154738i | ||||
\(537\) | 3.67701 | − | 0.985252i | 0.158675 | − | 0.0425168i | ||||
\(538\) | 6.34836 | + | 1.36736i | 0.273697 | + | 0.0589512i | ||||
\(539\) | −4.60274 | + | 4.63701i | −0.198254 | + | 0.199730i | ||||
\(540\) | 8.23553 | − | 5.10994i | 0.354401 | − | 0.219897i | ||||
\(541\) | 17.3067 | + | 9.99202i | 0.744073 | + | 0.429591i | 0.823548 | − | 0.567246i | \(-0.191991\pi\) |
−0.0794756 | + | 0.996837i | \(0.525325\pi\) | |||||||
\(542\) | 28.6318 | − | 9.21739i | 1.22984 | − | 0.395921i | ||||
\(543\) | 0.414196 | − | 1.54580i | 0.0177749 | − | 0.0663367i | ||||
\(544\) | 23.2509 | + | 23.8891i | 0.996873 | + | 1.02424i | ||||
\(545\) | −1.85730 | − | 9.44160i | −0.0795580 | − | 0.404434i | ||||
\(546\) | 6.36555 | − | 5.42731i | 0.272420 | − | 0.232267i | ||||
\(547\) | 11.1516 | + | 11.1516i | 0.476807 | + | 0.476807i | 0.904109 | − | 0.427302i | \(-0.140536\pi\) |
−0.427302 | + | 0.904109i | \(0.640536\pi\) | |||||||
\(548\) | −2.34845 | − | 0.385005i | −0.100321 | − | 0.0164466i | ||||
\(549\) | −4.70699 | − | 8.15275i | −0.200890 | − | 0.347951i | ||||
\(550\) | −4.25135 | − | 5.04819i | −0.181278 | − | 0.215256i | ||||
\(551\) | 23.4835 | + | 13.5582i | 1.00043 | + | 0.577599i | ||||
\(552\) | 2.16392 | + | 1.59919i | 0.0921025 | + | 0.0680662i | ||||
\(553\) | −4.11783 | − | 9.88942i | −0.175108 | − | 0.420541i | ||||
\(554\) | 19.0220 | − | 12.2799i | 0.808168 | − | 0.521725i | ||||
\(555\) | 0.446539 | − | 1.30638i | 0.0189545 | − | 0.0554527i | ||||
\(556\) | 14.4003 | − | 1.43474i | 0.610710 | − | 0.0608464i | ||||
\(557\) | 8.94229 | + | 2.39608i | 0.378897 | + | 0.101525i | 0.443241 | − | 0.896403i | \(-0.353829\pi\) |
−0.0643436 | + | 0.997928i | \(0.520495\pi\) | |||||||
\(558\) | 3.86702 | − | 4.27145i | 0.163704 | − | 0.180825i | ||||
\(559\) | −60.6088 | −2.56348 | ||||||||
\(560\) | 16.6997 | − | 16.7666i | 0.705692 | − | 0.708519i | ||||
\(561\) | −2.03302 | −0.0858340 | ||||||||
\(562\) | −17.0946 | + | 18.8824i | −0.721093 | + | 0.796507i | ||||
\(563\) | −26.2394 | − | 7.03083i | −1.10586 | − | 0.296314i | −0.340711 | − | 0.940168i | \(-0.610668\pi\) |
−0.765149 | + | 0.643854i | \(0.777334\pi\) | |||||||
\(564\) | 6.97906 | − | 0.695339i | 0.293871 | − | 0.0292791i | ||||
\(565\) | 9.27978 | − | 4.55191i | 0.390403 | − | 0.191500i | ||||
\(566\) | 4.45243 | − | 2.87433i | 0.187150 | − | 0.120817i | ||||
\(567\) | 20.4367 | + | 2.65200i | 0.858261 | + | 0.111374i | ||||
\(568\) | −21.0829 | + | 28.5279i | −0.884619 | + | 1.19700i | ||||
\(569\) | 3.24556 | + | 1.87383i | 0.136061 | + | 0.0785549i | 0.566485 | − | 0.824072i | \(-0.308303\pi\) |
−0.430424 | + | 0.902627i | \(0.641636\pi\) | |||||||
\(570\) | −5.90695 | − | 1.69673i | −0.247415 | − | 0.0710680i | ||||
\(571\) | 0.0783914 | + | 0.135778i | 0.00328058 | + | 0.00568213i | 0.867661 | − | 0.497156i | \(-0.165622\pi\) |
−0.864380 | + | 0.502838i | \(0.832289\pi\) | |||||||
\(572\) | −11.1424 | − | 1.82669i | −0.465888 | − | 0.0763779i | ||||
\(573\) | −5.71928 | − | 5.71928i | −0.238926 | − | 0.238926i | ||||
\(574\) | −4.15628 | − | 22.5326i | −0.173480 | − | 0.940492i | ||||
\(575\) | −11.8684 | − | 4.97496i | −0.494946 | − | 0.207470i | ||||
\(576\) | 5.12601 | − | 22.3262i | 0.213584 | − | 0.930257i | ||||
\(577\) | −6.79286 | + | 25.3513i | −0.282791 | + | 1.05539i | 0.667648 | + | 0.744477i | \(0.267301\pi\) |
−0.950439 | + | 0.310912i | \(0.899366\pi\) | |||||||
\(578\) | −23.8649 | + | 7.68278i | −0.992647 | + | 0.319562i | ||||
\(579\) | 7.03796 | + | 4.06337i | 0.292488 | + | 0.168868i | ||||
\(580\) | −5.25923 | + | 22.4556i | −0.218378 | + | 0.932416i | ||||
\(581\) | 4.56471 | + | 34.1825i | 0.189376 | + | 1.41813i | ||||
\(582\) | −3.18884 | − | 0.686838i | −0.132182 | − | 0.0284704i | ||||
\(583\) | −7.17852 | + | 1.92348i | −0.297304 | + | 0.0796623i | ||||
\(584\) | 5.85040 | + | 7.34585i | 0.242091 | + | 0.303974i | ||||
\(585\) | −2.61465 | + | 38.6395i | −0.108102 | + | 1.59755i | ||||
\(586\) | 12.0514 | − | 0.598869i | 0.497837 | − | 0.0247390i | ||||
\(587\) | −16.2301 | − | 16.2301i | −0.669886 | − | 0.669886i | 0.287803 | − | 0.957689i | \(-0.407075\pi\) |
−0.957689 | + | 0.287803i | \(0.907075\pi\) | |||||||
\(588\) | −5.14720 | + | 0.532112i | −0.212267 | + | 0.0219439i | ||||
\(589\) | −7.48163 | −0.308275 | ||||||||
\(590\) | −1.64462 | + | 2.73427i | −0.0677080 | + | 0.112568i | ||||
\(591\) | −0.388217 | + | 0.224137i | −0.0159691 | + | 0.00921977i | ||||
\(592\) | −2.96878 | − | 5.98595i | −0.122016 | − | 0.246021i | ||||
\(593\) | −11.9395 | − | 44.5589i | −0.490297 | − | 1.82981i | −0.554919 | − | 0.831904i | \(-0.687251\pi\) |
0.0646222 | − | 0.997910i | \(-0.479416\pi\) | |||||||
\(594\) | 1.55152 | + | 2.40335i | 0.0636597 | + | 0.0986108i | ||||
\(595\) | 11.1980 | + | 33.0164i | 0.459071 | + | 1.35354i | ||||
\(596\) | 5.94071 | + | 2.68361i | 0.243341 | + | 0.109925i | ||||
\(597\) | 0.947388 | + | 3.53570i | 0.0387740 | + | 0.144707i | ||||
\(598\) | −20.9571 | + | 6.74671i | −0.857001 | + | 0.275893i | ||||
\(599\) | 12.3081 | + | 21.3182i | 0.502894 | + | 0.871038i | 0.999994 | + | 0.00334470i | \(0.00106465\pi\) |
−0.497101 | + | 0.867693i | \(0.665602\pi\) | |||||||
\(600\) | −0.0722743 | − | 5.22667i | −0.00295059 | − | 0.213378i | ||||
\(601\) | 12.8434 | 0.523893 | 0.261947 | − | 0.965082i | \(-0.415636\pi\) | ||||
0.261947 | + | 0.965082i | \(0.415636\pi\) | |||||||
\(602\) | 30.8802 | + | 21.2622i | 1.25858 | + | 0.866581i | ||||
\(603\) | −4.11643 | + | 4.11643i | −0.167634 | + | 0.167634i | ||||
\(604\) | 21.0083 | + | 29.2472i | 0.854814 | + | 1.19005i | ||||
\(605\) | −17.0598 | + | 14.8973i | −0.693579 | + | 0.605662i | ||||
\(606\) | −0.360629 | + | 0.703061i | −0.0146495 | + | 0.0285599i | ||||
\(607\) | 1.58993 | + | 5.93369i | 0.0645332 | + | 0.240841i | 0.990657 | − | 0.136379i | \(-0.0435466\pi\) |
−0.926124 | + | 0.377220i | \(0.876880\pi\) | |||||||
\(608\) | −25.9582 | + | 14.5220i | −1.05274 | + | 0.588945i | ||||
\(609\) | 3.99533 | − | 3.07751i | 0.161899 | − | 0.124707i | ||||
\(610\) | −10.3950 | − | 0.186221i | −0.420881 | − | 0.00753987i | ||||
\(611\) | −28.6939 | + | 49.6992i | −1.16083 | + | 2.01062i | ||||
\(612\) | 26.1118 | + | 21.3801i | 1.05551 | + | 0.864237i | ||||
\(613\) | 0.885426 | − | 3.30445i | 0.0357620 | − | 0.133466i | −0.945737 | − | 0.324933i | \(-0.894658\pi\) |
0.981499 | + | 0.191468i | \(0.0613248\pi\) | |||||||
\(614\) | −29.7572 | + | 1.47873i | −1.20090 | + | 0.0596766i | ||||
\(615\) | −4.20224 | − | 2.82072i | −0.169450 | − | 0.113742i | ||||
\(616\) | 5.03624 | + | 4.83958i | 0.202916 | + | 0.194992i | ||||
\(617\) | 14.8719 | + | 14.8719i | 0.598718 | + | 0.598718i | 0.939971 | − | 0.341253i | \(-0.110851\pi\) |
−0.341253 | + | 0.939971i | \(0.610851\pi\) | |||||||
\(618\) | 1.61671 | − | 1.78579i | 0.0650337 | − | 0.0718351i | ||||
\(619\) | 35.1024 | − | 20.2664i | 1.41088 | − | 0.814574i | 0.415412 | − | 0.909633i | \(-0.363637\pi\) |
0.995472 | + | 0.0950590i | \(0.0303040\pi\) | |||||||
\(620\) | −1.84118 | − | 6.09114i | −0.0739434 | − | 0.244626i | ||||
\(621\) | 4.83061 | + | 2.78895i | 0.193846 | + | 0.111917i | ||||
\(622\) | 1.07595 | − | 4.99540i | 0.0431417 | − | 0.200297i | ||||
\(623\) | 29.1637 | − | 12.1434i | 1.16842 | − | 0.486515i | ||||
\(624\) | −5.91153 | − | 6.71016i | −0.236651 | − | 0.268622i | ||||
\(625\) | 6.26596 | + | 24.2020i | 0.250638 | + | 0.968081i | ||||
\(626\) | 2.18852 | + | 1.12258i | 0.0874708 | + | 0.0448673i | ||||
\(627\) | 0.469489 | − | 1.75216i | 0.0187496 | − | 0.0699744i | ||||
\(628\) | −5.55935 | + | 33.9108i | −0.221842 | + | 1.35319i | ||||
\(629\) | 9.84389 | 0.392502 | ||||||||
\(630\) | 14.8873 | − | 18.7696i | 0.593123 | − | 0.747797i | ||||
\(631\) | − | 40.4404i | − | 1.60991i | −0.593339 | − | 0.804953i | \(-0.702191\pi\) | ||
0.593339 | − | 0.804953i | \(-0.297809\pi\) | |||||||
\(632\) | −10.4995 | + | 4.57286i | −0.417648 | + | 0.181899i | ||||
\(633\) | 6.57958 | + | 1.76299i | 0.261515 | + | 0.0700727i | ||||
\(634\) | 1.79643 | + | 0.921462i | 0.0713453 | + | 0.0365959i | ||||
\(635\) | 14.2278 | − | 6.97901i | 0.564614 | − | 0.276954i | ||||
\(636\) | −5.36411 | − | 2.42315i | −0.212701 | − | 0.0960840i | ||||
\(637\) | 21.0342 | − | 36.7463i | 0.833404 | − | 1.45594i | ||||
\(638\) | −6.65461 | − | 1.43332i | −0.263459 | − | 0.0567459i | ||||
\(639\) | −17.9557 | + | 31.1002i | −0.710316 | + | 1.23030i | ||||
\(640\) | −18.2112 | − | 17.5600i | −0.719859 | − | 0.694120i | ||||
\(641\) | −7.27169 | − | 12.5949i | −0.287214 | − | 0.497470i | 0.685929 | − | 0.727668i | \(-0.259396\pi\) |
−0.973144 | + | 0.230198i | \(0.926063\pi\) | |||||||
\(642\) | −4.41457 | + | 4.87626i | −0.174229 | + | 0.192450i | ||||
\(643\) | 8.71355 | − | 8.71355i | 0.343629 | − | 0.343629i | −0.514101 | − | 0.857730i | \(-0.671874\pi\) |
0.857730 | + | 0.514101i | \(0.171874\pi\) | |||||||
\(644\) | 13.0445 | + | 3.91453i | 0.514024 | + | 0.154254i | ||||
\(645\) | 8.12585 | − | 1.59847i | 0.319955 | − | 0.0629399i | ||||
\(646\) | −2.17491 | − | 43.7669i | −0.0855708 | − | 1.72199i | ||||
\(647\) | −30.9101 | − | 8.28233i | −1.21520 | − | 0.325612i | −0.406400 | − | 0.913695i | \(-0.633216\pi\) |
−0.808800 | + | 0.588083i | \(0.799883\pi\) | |||||||
\(648\) | 2.48076 | − | 21.8908i | 0.0974534 | − | 0.859953i | ||||
\(649\) | −0.815598 | − | 0.470886i | −0.0320150 | − | 0.0184839i | ||||
\(650\) | 35.0793 | + | 24.4694i | 1.37592 | + | 0.959769i | ||||
\(651\) | −0.530103 | + | 1.28652i | −0.0207764 | + | 0.0504228i | ||||
\(652\) | −45.3290 | + | 17.1191i | −1.77522 | + | 0.670436i | ||||
\(653\) | −28.5721 | + | 7.65587i | −1.11811 | + | 0.299597i | −0.770119 | − | 0.637900i | \(-0.779803\pi\) |
−0.347993 | + | 0.937497i | \(0.613137\pi\) | |||||||
\(654\) | 2.00148 | + | 1.02664i | 0.0782640 | + | 0.0401448i | ||||
\(655\) | 9.26147 | − | 8.08751i | 0.361876 | − | 0.316005i | ||||
\(656\) | −24.0132 | + | 4.83295i | −0.937558 | + | 0.188695i | ||||
\(657\) | 6.72243 | + | 6.72243i | 0.262267 | + | 0.262267i | ||||
\(658\) | 32.0545 | − | 15.2557i | 1.24961 | − | 0.594727i | ||||
\(659\) | − | 19.7431i | − | 0.769080i | −0.923108 | − | 0.384540i | \(-0.874360\pi\) | ||
0.923108 | − | 0.384540i | \(-0.125640\pi\) | |||||||
\(660\) | 1.54205 | − | 0.0489606i | 0.0600242 | − | 0.00190579i | ||||
\(661\) | −7.75340 | + | 4.47643i | −0.301572 | + | 0.174113i | −0.643149 | − | 0.765741i | \(-0.722372\pi\) |
0.341577 | + | 0.939854i | \(0.389039\pi\) | |||||||
\(662\) | −3.90678 | − | 12.1355i | −0.151841 | − | 0.471661i | ||||
\(663\) | 12.7260 | − | 3.40993i | 0.494238 | − | 0.132431i | ||||
\(664\) | 36.4588 | − | 5.47131i | 1.41487 | − | 0.212328i | ||||
\(665\) | −31.0411 | + | 2.02642i | −1.20372 | + | 0.0785810i | ||||
\(666\) | −3.66872 | − | 5.68296i | −0.142160 | − | 0.220210i | ||||
\(667\) | −12.8209 | + | 3.43536i | −0.496429 | + | 0.133018i | ||||
\(668\) | −0.709538 | − | 0.580962i | −0.0274528 | − | 0.0224781i | ||||
\(669\) | 4.05695 | + | 7.02684i | 0.156851 | + | 0.271673i | ||||
\(670\) | 1.55250 | + | 6.23894i | 0.0599782 | + | 0.241031i | ||||
\(671\) | − | 3.06863i | − | 0.118463i | ||||||
\(672\) | 0.657930 | + | 5.49265i | 0.0253802 | + | 0.211884i | ||||
\(673\) | 4.21226 | − | 4.21226i | 0.162371 | − | 0.162371i | −0.621245 | − | 0.783616i | \(-0.713373\pi\) |
0.783616 | + | 0.621245i | \(0.213373\pi\) | |||||||
\(674\) | −28.9726 | + | 1.43974i | −1.11598 | + | 0.0554566i | ||||
\(675\) | −1.36893 | − | 10.7492i | −0.0526901 | − | 0.413737i | ||||
\(676\) | 46.9400 | − | 4.67674i | 1.80539 | − | 0.179875i | ||||
\(677\) | 5.40838 | + | 20.1844i | 0.207861 | + | 0.775748i | 0.988558 | + | 0.150839i | \(0.0481974\pi\) |
−0.780697 | + | 0.624909i | \(0.785136\pi\) | |||||||
\(678\) | −0.508758 | + | 2.36205i | −0.0195387 | + | 0.0907140i | ||||
\(679\) | −16.3653 | + | 2.18541i | −0.628043 | + | 0.0838684i | ||||
\(680\) | 35.0974 | − | 12.5414i | 1.34592 | − | 0.480941i | ||||
\(681\) | −3.89823 | + | 6.75194i | −0.149381 | + | 0.258735i | ||||
\(682\) | 1.78781 | − | 0.575547i | 0.0684587 | − | 0.0220388i | ||||
\(683\) | −43.0488 | − | 11.5349i | −1.64722 | − | 0.441370i | −0.688384 | − | 0.725347i | \(-0.741680\pi\) |
−0.958831 | + | 0.283977i | \(0.908346\pi\) | |||||||
\(684\) | −24.4564 | + | 17.5671i | −0.935116 | + | 0.671695i | ||||
\(685\) | −1.48288 | + | 2.20915i | −0.0566578 | + | 0.0844074i | ||||
\(686\) | −23.6079 | + | 11.3432i | −0.901352 | + | 0.433086i | ||||
\(687\) | −2.94180 | + | 2.94180i | −0.112237 | + | 0.112237i | ||||
\(688\) | 22.1924 | − | 33.3762i | 0.846076 | − | 1.27246i | ||||
\(689\) | 41.7090 | − | 24.0807i | 1.58899 | − | 0.917403i | ||||
\(690\) | 2.63180 | − | 1.45725i | 0.100191 | − | 0.0554766i | ||||
\(691\) | −0.909913 | + | 1.57602i | −0.0346147 | + | 0.0599544i | −0.882814 | − | 0.469723i | \(-0.844354\pi\) |
0.848199 | + | 0.529678i | \(0.177687\pi\) | |||||||
\(692\) | 8.24218 | + | 21.8241i | 0.313321 | + | 0.829629i | ||||
\(693\) | 5.61775 | + | 4.29412i | 0.213401 | + | 0.163120i | ||||
\(694\) | 12.8607 | + | 19.9216i | 0.488186 | + | 0.756215i | ||||
\(695\) | 5.23321 | − | 15.3101i | 0.198507 | − | 0.580744i | ||||
\(696\) | −3.35877 | − | 4.21732i | −0.127314 | − | 0.159857i | ||||
\(697\) | 9.34002 | − | 34.8574i | 0.353779 | − | 1.32032i | ||||
\(698\) | 2.55762 | − | 2.82510i | 0.0968072 | − | 0.106932i | ||||
\(699\) | 5.81483i | 0.219937i | ||||||||
\(700\) | −9.28880 | − | 24.7733i | −0.351084 | − | 0.936344i | ||||
\(701\) | − | 5.61667i | − | 0.212139i | −0.994359 | − | 0.106069i | \(-0.966173\pi\) | ||
0.994359 | − | 0.106069i | \(-0.0338266\pi\) | |||||||
\(702\) | −13.7431 | − | 12.4419i | −0.518701 | − | 0.469589i | ||||
\(703\) | −2.27327 | + | 8.48396i | −0.0857380 | + | 0.319979i | ||||
\(704\) | 5.08581 | − | 5.46709i | 0.191679 | − | 0.206049i | ||||
\(705\) | 2.53625 | − | 7.41996i | 0.0955208 | − | 0.279452i | ||||
\(706\) | −10.7164 | + | 6.91816i | −0.403319 | + | 0.260368i | ||||
\(707\) | −0.514675 | + | 3.96616i | −0.0193563 | + | 0.149163i | ||||
\(708\) | −0.263529 | − | 0.697788i | −0.00990404 | − | 0.0262245i | ||||
\(709\) | 23.2036 | − | 40.1899i | 0.871431 | − | 1.50936i | 0.0109136 | − | 0.999940i | \(-0.496526\pi\) |
0.860517 | − | 0.509422i | \(-0.170141\pi\) | |||||||
\(710\) | 19.2116 | + | 34.6962i | 0.720999 | + | 1.30213i | ||||
\(711\) | −10.0404 | + | 5.79683i | −0.376544 | + | 0.217398i | ||||
\(712\) | −13.4853 | − | 30.9629i | −0.505382 | − | 1.16038i | ||||
\(713\) | 2.58956 | − | 2.58956i | 0.0969797 | − | 0.0969797i | ||||
\(714\) | −7.68015 | − | 2.72706i | −0.287423 | − | 0.102058i | ||||
\(715\) | −7.03565 | + | 10.4815i | −0.263119 | + | 0.391988i | ||||
\(716\) | −12.0169 | − | 16.7296i | −0.449093 | − | 0.625215i | ||||
\(717\) | 4.91688 | + | 1.31747i | 0.183624 | + | 0.0492019i | ||||
\(718\) | −6.67261 | − | 20.7270i | −0.249020 | − | 0.773524i | ||||
\(719\) | 4.65550 | − | 8.06357i | 0.173621 | − | 0.300720i | −0.766062 | − | 0.642766i | \(-0.777787\pi\) |
0.939683 | + | 0.342046i | \(0.111120\pi\) | |||||||
\(720\) | −20.3207 | − | 15.5880i | −0.757309 | − | 0.580930i | ||||
\(721\) | 4.64507 | − | 11.2733i | 0.172991 | − | 0.419838i | ||||
\(722\) | 11.9551 | + | 2.57499i | 0.444923 | + | 0.0958312i | ||||
\(723\) | −0.0873694 | − | 0.326067i | −0.00324930 | − | 0.0121266i | ||||
\(724\) | −8.61675 | + | 0.858506i | −0.320239 | + | 0.0319061i | ||||
\(725\) | 20.3904 | + | 15.7836i | 0.757280 | + | 0.586187i | ||||
\(726\) | −0.262776 | − | 5.28799i | −0.00975255 | − | 0.196256i | ||||
\(727\) | 25.4562 | − | 25.4562i | 0.944119 | − | 0.944119i | −0.0543998 | − | 0.998519i | \(-0.517325\pi\) |
0.998519 | + | 0.0543998i | \(0.0173245\pi\) | |||||||
\(728\) | −39.6426 | − | 21.8470i | −1.46925 | − | 0.809705i | ||||
\(729\) | − | 19.9001i | − | 0.737042i | ||||||
\(730\) | 10.1886 | − | 2.53534i | 0.377098 | − | 0.0938371i | ||||
\(731\) | 29.5247 | + | 51.1383i | 1.09201 | + | 1.89142i | ||||
\(732\) | 1.53970 | − | 1.88046i | 0.0569089 | − | 0.0695036i | ||||
\(733\) | −21.3118 | + | 5.71047i | −0.787168 | + | 0.210921i | −0.629943 | − | 0.776642i | \(-0.716922\pi\) |
−0.157225 | + | 0.987563i | \(0.550255\pi\) | |||||||
\(734\) | 7.81892 | − | 5.04762i | 0.288602 | − | 0.186311i | ||||
\(735\) | −1.85093 | + | 5.48134i | −0.0682725 | + | 0.202182i | ||||
\(736\) | 3.95832 | − | 14.0111i | 0.145906 | − | 0.516456i | ||||
\(737\) | −1.83295 | + | 0.491138i | −0.0675176 | + | 0.0180913i | ||||
\(738\) | −23.6044 | + | 7.59895i | −0.868891 | + | 0.279721i | ||||
\(739\) | 18.0851 | − | 10.4414i | 0.665270 | − | 0.384094i | −0.129012 | − | 0.991643i | \(-0.541181\pi\) |
0.794282 | + | 0.607549i | \(0.207847\pi\) | |||||||
\(740\) | −7.46662 | + | 0.237068i | −0.274478 | + | 0.00871478i | ||||
\(741\) | 11.7554i | 0.431845i | ||||||||
\(742\) | −29.6985 | − | 2.36283i | −1.09027 | − | 0.0867421i | ||||
\(743\) | −19.7220 | − | 19.7220i | −0.723531 | − | 0.723531i | 0.245792 | − | 0.969323i | \(-0.420952\pi\) |
−0.969323 | + | 0.245792i | \(0.920952\pi\) | |||||||
\(744\) | 1.38435 | + | 0.544346i | 0.0507528 | + | 0.0199567i | ||||
\(745\) | 5.48968 | − | 4.79382i | 0.201126 | − | 0.175632i | ||||
\(746\) | 1.22464 | − | 2.38748i | 0.0448371 | − | 0.0874119i | ||||
\(747\) | 36.0509 | − | 9.65982i | 1.31903 | − | 0.353434i | ||||
\(748\) | 3.88662 | + | 10.2912i | 0.142109 | + | 0.376284i | ||||
\(749\) | −12.6837 | + | 30.7826i | −0.463454 | + | 1.12477i | ||||
\(750\) | −5.34845 | − | 2.35546i | −0.195298 | − | 0.0860091i | ||||
\(751\) | −11.7027 | − | 6.75653i | −0.427036 | − | 0.246549i | 0.271047 | − | 0.962566i | \(-0.412630\pi\) |
−0.698083 | + | 0.716017i | \(0.745963\pi\) | |||||||
\(752\) | −16.8620 | − | 33.9990i | −0.614896 | − | 1.23981i | ||||
\(753\) | 0.0688603 | + | 0.0184511i | 0.00250941 | + | 0.000672394i | ||||
\(754\) | 44.0598 | − | 2.18947i | 1.60456 | − | 0.0797358i | ||||
\(755\) | 39.5037 | − | 7.77095i | 1.43769 | − | 0.282814i | ||||
\(756\) | 2.63737 | + | 11.1604i | 0.0959203 | + | 0.405899i | ||||
\(757\) | −17.4013 | + | 17.4013i | −0.632459 | + | 0.632459i | −0.948684 | − | 0.316225i | \(-0.897585\pi\) |
0.316225 | + | 0.948684i | \(0.397585\pi\) | |||||||
\(758\) | −8.58193 | − | 7.76938i | −0.311710 | − | 0.282197i | ||||
\(759\) | 0.443960 | + | 0.768961i | 0.0161147 | + | 0.0279115i | ||||
\(760\) | 2.70370 | + | 33.1449i | 0.0980736 | + | 1.20229i | ||||
\(761\) | −8.67408 | + | 15.0240i | −0.314435 | + | 0.544618i | −0.979317 | − | 0.202330i | \(-0.935148\pi\) |
0.664882 | + | 0.746948i | \(0.268482\pi\) | |||||||
\(762\) | −0.780031 | + | 3.62151i | −0.0282575 | + | 0.131194i | ||||
\(763\) | 11.2909 | + | 1.46518i | 0.408757 | + | 0.0530430i | ||||
\(764\) | −18.0174 | + | 39.8851i | −0.651847 | + | 1.44299i | ||||
\(765\) | 33.8755 | − | 16.6166i | 1.22477 | − | 0.600774i | ||||
\(766\) | −23.2701 | + | 45.3660i | −0.840781 | + | 1.63914i | ||||
\(767\) | 5.89519 | + | 1.57961i | 0.212863 | + | 0.0570364i | ||||
\(768\) | 5.85972 | − | 0.798402i | 0.211445 | − | 0.0288099i | ||||
\(769\) | − | 33.6019i | − | 1.21171i | −0.795573 | − | 0.605857i | \(-0.792830\pi\) | ||
0.795573 | − | 0.605857i | \(-0.207170\pi\) | |||||||
\(770\) | 7.26170 | − | 2.87217i | 0.261693 | − | 0.103506i | ||||
\(771\) | 7.14781 | 0.257422 | ||||||||
\(772\) | 7.11413 | − | 43.3946i | 0.256043 | − | 1.56181i | ||||
\(773\) | 5.43743 | − | 20.2928i | 0.195571 | − | 0.729880i | −0.796548 | − | 0.604576i | \(-0.793343\pi\) |
0.992118 | − | 0.125304i | \(-0.0399907\pi\) | |||||||
\(774\) | 18.5190 | − | 36.1036i | 0.665653 | − | 1.29772i | ||||
\(775\) | −7.04956 | − | 0.958445i | −0.253228 | − | 0.0344284i | ||||
\(776\) | 2.61946 | + | 17.4551i | 0.0940330 | + | 0.626601i | ||||
\(777\) | 1.29781 | + | 0.992028i | 0.0465587 | + | 0.0355888i | ||||
\(778\) | −13.8023 | − | 2.97285i | −0.494837 | − | 0.106582i | ||||
\(779\) | 27.8850 | + | 16.0994i | 0.999083 | + | 0.576821i | ||||
\(780\) | −9.57061 | + | 2.89292i | −0.342683 | + | 0.103583i | ||||
\(781\) | −10.1376 | + | 5.85292i | −0.362750 | + | 0.209434i | ||||
\(782\) | 15.9015 | + | 14.3959i | 0.568636 | + | 0.514797i | ||||
\(783\) | −7.90296 | − | 7.90296i | −0.282429 | − | 0.282429i | ||||
\(784\) | 12.5337 | + | 25.0381i | 0.447633 | + | 0.894217i | ||||
\(785\) | 31.8995 | + | 21.4123i | 1.13854 | + | 0.764236i | ||||
\(786\) | 0.142657 | + | 2.87076i | 0.00508841 | + | 0.102397i | ||||
\(787\) | 4.00750 | − | 14.9562i | 0.142852 | − | 0.533130i | −0.856990 | − | 0.515333i | \(-0.827668\pi\) |
0.999842 | − | 0.0177970i | \(-0.00566526\pi\) | |||||||
\(788\) | 1.87676 | + | 1.53668i | 0.0668570 | + | 0.0547418i | ||||
\(789\) | −3.74306 | + | 6.48318i | −0.133257 | + | 0.230807i | ||||
\(790\) | −0.229338 | + | 12.8018i | −0.00815947 | + | 0.455468i | ||||
\(791\) | 1.61879 | + | 12.1222i | 0.0575575 | + | 0.431015i | ||||
\(792\) | 4.49270 | − | 6.07921i | 0.159641 | − | 0.216015i | ||||
\(793\) | 5.14694 | + | 19.2086i | 0.182773 | + | 0.682119i | ||||
\(794\) | −30.9345 | − | 15.8675i | −1.09782 | − | 0.563118i | ||||
\(795\) | −4.95686 | + | 4.32854i | −0.175802 | + | 0.153517i | ||||
\(796\) | 16.0867 | − | 11.5551i | 0.570178 | − | 0.409559i | ||||
\(797\) | 2.17089 | − | 2.17089i | 0.0768969 | − | 0.0768969i | −0.667612 | − | 0.744509i | \(-0.732684\pi\) |
0.744509 | + | 0.667612i | \(0.232684\pi\) | |||||||
\(798\) | 4.12391 | − | 5.98937i | 0.145985 | − | 0.212022i | ||||
\(799\) | 55.9113 | 1.97800 | ||||||||
\(800\) | −26.3194 | + | 10.3579i | −0.930533 | + | 0.366208i | ||||
\(801\) | −17.0947 | − | 29.6089i | −0.604012 | − | 1.04618i | ||||
\(802\) | 0.291901 | + | 0.906725i | 0.0103074 | + | 0.0320176i | ||||
\(803\) | 0.802062 | + | 2.99334i | 0.0283042 | + | 0.105633i | ||||
\(804\) | −1.36966 | − | 0.618722i | −0.0483043 | − | 0.0218206i | ||||
\(805\) | 10.0426 | − | 11.4454i | 0.353957 | − | 0.403398i | ||||
\(806\) | −10.2258 | + | 6.60139i | −0.360187 | + | 0.232524i | ||||
\(807\) | 0.439280 | + | 1.63942i | 0.0154634 | + | 0.0577102i | ||||
\(808\) | 4.24836 | + | 0.481441i | 0.149457 | + | 0.0169370i | ||||
\(809\) | −18.0260 | + | 10.4073i | −0.633762 | + | 0.365902i | −0.782207 | − | 0.623018i | \(-0.785906\pi\) |
0.148446 | + | 0.988921i | \(0.452573\pi\) | |||||||
\(810\) | −21.1074 | − | 12.6958i | −0.741637 | − | 0.446084i | ||||
\(811\) | −55.0469 | −1.93296 | −0.966480 | − | 0.256743i | \(-0.917351\pi\) | ||||
−0.966480 | + | 0.256743i | \(0.917351\pi\) | |||||||
\(812\) | −23.2166 | − | 14.3411i | −0.814742 | − | 0.503274i | ||||
\(813\) | 5.55882 | + | 5.55882i | 0.194956 | + | 0.194956i | ||||
\(814\) | −0.109434 | − | 2.20220i | −0.00383567 | − | 0.0771872i | ||||
\(815\) | −3.65741 | + | 54.0495i | −0.128114 | + | 1.89327i | ||||
\(816\) | −2.78194 | + | 8.25659i | −0.0973875 | + | 0.289038i | ||||
\(817\) | −50.8918 | + | 13.6364i | −1.78048 | + | 0.477078i | ||||
\(818\) | −5.84430 | + | 27.1338i | −0.204341 | + | 0.948712i | ||||
\(819\) | −42.3677 | − | 17.4573i | −1.48045 | − | 0.610008i | ||||
\(820\) | −6.24497 | + | 26.6644i | −0.218084 | + | 0.931161i | ||||
\(821\) | −29.5682 | − | 17.0712i | −1.03194 | − | 0.595790i | −0.114399 | − | 0.993435i | \(-0.536494\pi\) |
−0.917539 | + | 0.397645i | \(0.869827\pi\) | |||||||
\(822\) | −0.190600 | − | 0.592056i | −0.00664794 | − | 0.0206503i | ||||
\(823\) | −8.20422 | + | 30.6186i | −0.285981 | + | 1.06730i | 0.662138 | + | 0.749382i | \(0.269649\pi\) |
−0.948119 | + | 0.317914i | \(0.897018\pi\) | |||||||
\(824\) | −12.1305 | − | 4.76987i | −0.422586 | − | 0.166166i | ||||
\(825\) | 0.666838 | − | 1.59082i | 0.0232163 | − | 0.0553853i | ||||
\(826\) | −2.44945 | − | 2.87290i | −0.0852274 | − | 0.0999611i | ||||
\(827\) | 13.8807 | + | 13.8807i | 0.482680 | + | 0.482680i | 0.905987 | − | 0.423306i | \(-0.139131\pi\) |
−0.423306 | + | 0.905987i | \(0.639131\pi\) | |||||||
\(828\) | 2.38456 | − | 14.5453i | 0.0828691 | − | 0.505483i | ||||
\(829\) | 18.0996 | + | 31.3494i | 0.628625 | + | 1.08881i | 0.987828 | + | 0.155551i | \(0.0497153\pi\) |
−0.359203 | + | 0.933260i | \(0.616951\pi\) | |||||||
\(830\) | 11.3796 | − | 39.6166i | 0.394991 | − | 1.37511i | ||||
\(831\) | 5.12473 | + | 2.95876i | 0.177775 | + | 0.102638i | ||||
\(832\) | −22.6658 | + | 42.7526i | −0.785794 | + | 1.48218i | ||||
\(833\) | −41.2510 | + | 0.152977i | −1.42926 | + | 0.00530036i | ||||
\(834\) | 2.05138 | + | 3.17765i | 0.0710335 | + | 0.110033i | ||||
\(835\) | −0.920503 | + | 0.451524i | −0.0318553 | + | 0.0156256i | ||||
\(836\) | −9.76703 | + | 0.973111i | −0.337800 | + | 0.0336557i | ||||
\(837\) | 2.97860 | + | 0.798114i | 0.102956 | + | 0.0275869i | ||||
\(838\) | 18.9550 | + | 17.1603i | 0.654789 | + | 0.592793i | ||||
\(839\) | 36.3979 | 1.25660 | 0.628298 | − | 0.777973i | \(-0.283752\pi\) | ||||
0.628298 | + | 0.777973i | \(0.283752\pi\) | |||||||
\(840\) | 5.89109 | + | 1.88353i | 0.203262 | + | 0.0649878i | ||||
\(841\) | −2.40441 | −0.0829108 | ||||||||
\(842\) | −17.3063 | − | 15.6677i | −0.596413 | − | 0.539944i | ||||
\(843\) | −6.43022 | − | 1.72297i | −0.221469 | − | 0.0593424i | ||||
\(844\) | −3.65416 | − | 36.6765i | −0.125781 | − | 1.26246i | ||||
\(845\) | 17.0584 | − | 49.9055i | 0.586828 | − | 1.71680i | ||||
\(846\) | −20.8376 | − | 32.2781i | −0.716411 | − | 1.10974i | ||||
\(847\) | −10.3012 | − | 24.7394i | −0.353953 | − | 0.850056i | ||||
\(848\) | −2.01124 | + | 31.7858i | −0.0690661 | + | 1.09153i | ||||
\(849\) | 1.19953 | + | 0.692550i | 0.0411678 | + | 0.0237682i | ||||
\(850\) | 3.55751 | − | 41.5179i | 0.122022 | − | 1.42405i | ||||
\(851\) | −2.14966 | − | 3.72332i | −0.0736893 | − | 0.127634i | ||||
\(852\) | −9.14902 | − | 1.49989i | −0.313440 | − | 0.0513855i | ||||
\(853\) | −26.4581 | − | 26.4581i | −0.905908 | − | 0.905908i | 0.0900314 | − | 0.995939i | \(-0.471303\pi\) |
−0.995939 | + | 0.0900314i | \(0.971303\pi\) | |||||||
\(854\) | 4.11622 | − | 11.5924i | 0.140854 | − | 0.396684i | ||||
\(855\) | 6.49806 | + | 33.0329i | 0.222229 | + | 1.12970i | ||||
\(856\) | 33.1233 | + | 13.0245i | 1.13213 | + | 0.445170i | ||||
\(857\) | 1.36367 | − | 5.08927i | 0.0465820 | − | 0.173846i | −0.938716 | − | 0.344692i | \(-0.887983\pi\) |
0.985298 | + | 0.170846i | \(0.0546500\pi\) | |||||||
\(858\) | −0.904320 | − | 2.80907i | −0.0308730 | − | 0.0959000i | ||||
\(859\) | −44.5451 | − | 25.7181i | −1.51986 | − | 0.877492i | −0.999726 | − | 0.0234068i | \(-0.992549\pi\) |
−0.520134 | − | 0.854085i | \(-0.674118\pi\) | |||||||
\(860\) | −23.6261 | − | 38.0775i | −0.805644 | − | 1.29843i | ||||
\(861\) | 4.74417 | − | 3.65433i | 0.161681 | − | 0.124539i | ||||
\(862\) | −4.94984 | + | 22.9810i | −0.168592 | + | 0.782737i | ||||
\(863\) | 21.7264 | − | 5.82157i | 0.739575 | − | 0.198169i | 0.130686 | − | 0.991424i | \(-0.458282\pi\) |
0.608889 | + | 0.793255i | \(0.291615\pi\) | |||||||
\(864\) | 11.8837 | − | 3.01240i | 0.404291 | − | 0.102484i | ||||
\(865\) | 26.0227 | + | 1.76090i | 0.884799 | + | 0.0598724i | ||||
\(866\) | −1.80892 | − | 36.4019i | −0.0614696 | − | 1.23699i | ||||
\(867\) | −4.63333 | − | 4.63333i | −0.157356 | − | 0.157356i | ||||
\(868\) | 7.52586 | + | 0.223892i | 0.255444 | + | 0.00759940i | ||||
\(869\) | −3.77912 | −0.128198 | ||||||||
\(870\) | −5.84938 | + | 1.45556i | −0.198313 | + | 0.0493482i | ||||
\(871\) | 10.6499 | − | 6.14873i | 0.360859 | − | 0.208342i | ||||
\(872\) | 1.37057 | − | 12.0943i | 0.0464133 | − | 0.409563i | ||||
\(873\) | 4.62476 | + | 17.2598i | 0.156524 | + | 0.584157i | ||||
\(874\) | −16.0793 | + | 10.3802i | −0.543890 | + | 0.351116i | ||||
\(875\) | −29.5081 | − | 2.06718i | −0.997555 | − | 0.0698835i | ||||
\(876\) | −1.01042 | + | 2.23676i | −0.0341388 | + | 0.0755730i | ||||
\(877\) | 6.75014 | + | 25.1919i | 0.227936 | + | 0.850668i | 0.981207 | + | 0.192958i | \(0.0618082\pi\) |
−0.753271 | + | 0.657710i | \(0.771525\pi\) | |||||||
\(878\) | 0.193399 | + | 0.600750i | 0.00652689 | + | 0.0202743i | ||||
\(879\) | 1.57680 | + | 2.73111i | 0.0531843 | + | 0.0921179i | ||||
\(880\) | −3.19585 | − | 7.71231i | −0.107732 | − | 0.259982i | ||||
\(881\) | 42.2555 | 1.42362 | 0.711812 | − | 0.702370i | \(-0.247875\pi\) | ||||
0.711812 | + | 0.702370i | \(0.247875\pi\) | |||||||
\(882\) | 15.4622 | + | 23.7575i | 0.520638 | + | 0.799958i | ||||
\(883\) | −23.2185 | + | 23.2185i | −0.781366 | + | 0.781366i | −0.980061 | − | 0.198695i | \(-0.936330\pi\) |
0.198695 | + | 0.980061i | \(0.436330\pi\) | |||||||
\(884\) | −41.5902 | − | 57.9008i | −1.39883 | − | 1.94741i | ||||
\(885\) | −0.832031 | − | 0.0563017i | −0.0279684 | − | 0.00189256i | ||||
\(886\) | 48.6413 | + | 24.9501i | 1.63414 | + | 0.838215i | ||||
\(887\) | 1.36155 | + | 5.08138i | 0.0457164 | + | 0.170616i | 0.985010 | − | 0.172500i | \(-0.0551844\pi\) |
−0.939293 | + | 0.343116i | \(0.888518\pi\) | |||||||
\(888\) | 1.03790 | − | 1.40442i | 0.0348298 | − | 0.0471292i | ||||
\(889\) | 2.48194 | + | 18.5858i | 0.0832415 | + | 0.623348i | ||||
\(890\) | −37.7522 | − | 0.676312i | −1.26546 | − | 0.0226700i | ||||
\(891\) | 3.63503 | − | 6.29606i | 0.121778 | − | 0.210926i | ||||
\(892\) | 27.8143 | − | 33.9700i | 0.931292 | − | 1.13740i | ||||
\(893\) | −12.9117 | + | 48.1871i | −0.432074 | + | 1.61252i | ||||
\(894\) | 0.0845590 | + | 1.70162i | 0.00282807 | + | 0.0569108i | ||||
\(895\) | −22.5965 | + | 4.44505i | −0.755316 | + | 0.148582i | ||||
\(896\) | 26.5462 | − | 13.8310i | 0.886847 | − | 0.462063i | ||||
\(897\) | −4.06881 | − | 4.06881i | −0.135853 | − | 0.135853i | ||||
\(898\) | −33.2343 | − | 30.0876i | −1.10904 | − | 1.00404i | ||||
\(899\) | −6.35484 | + | 3.66897i | −0.211946 | + | 0.122367i | ||||
\(900\) | −25.2945 | + | 13.4195i | −0.843150 | + | 0.447318i | ||||
\(901\) | −40.6360 | − | 23.4612i | −1.35378 | − | 0.781606i | ||||
\(902\) | −7.90188 | − | 1.70197i | −0.263104 | − | 0.0566695i | ||||
\(903\) | −1.26100 | + | 9.71742i | −0.0419633 | + | 0.323376i | ||||
\(904\) | 12.9294 | − | 1.94030i | 0.430026 | − | 0.0645333i | ||||
\(905\) | −3.13141 | + | 9.16112i | −0.104091 | + | 0.304526i | ||||
\(906\) | −4.29547 | + | 8.37420i | −0.142707 | + | 0.278214i | ||||
\(907\) | 10.7351 | − | 40.0638i | 0.356452 | − | 1.33030i | −0.522196 | − | 0.852825i | \(-0.674887\pi\) |
0.878648 | − | 0.477470i | \(-0.158446\pi\) | |||||||
\(908\) | 41.6310 | + | 6.82501i | 1.38157 | + | 0.226496i | ||||
\(909\) | 4.32839 | 0.143564 | ||||||||
\(910\) | −40.6385 | + | 30.1587i | −1.34715 | + | 0.999752i | ||||
\(911\) | 56.2856i | 1.86483i | 0.361394 | + | 0.932413i | \(0.382301\pi\) | ||||
−0.361394 | + | 0.932413i | \(0.617699\pi\) | |||||||
\(912\) | −6.47350 | − | 4.30433i | −0.214359 | − | 0.142531i | ||||
\(913\) | 11.7513 | + | 3.14876i | 0.388912 | + | 0.104209i | ||||
\(914\) | 18.1483 | − | 35.3808i | 0.600291 | − | 1.17029i | ||||
\(915\) | −1.19665 | − | 2.43957i | −0.0395602 | − | 0.0806497i | ||||
\(916\) | 20.5155 | + | 9.26752i | 0.677851 | + | 0.306208i | ||||
\(917\) | 5.59234 | + | 13.4306i | 0.184675 | + | 0.443518i | ||||
\(918\) | −3.80302 | + | 17.6566i | −0.125518 | + | 0.582754i | ||||
\(919\) | 10.6286 | − | 18.4093i | 0.350606 | − | 0.607267i | −0.635750 | − | 0.771895i | \(-0.719309\pi\) |
0.986356 | + | 0.164628i | \(0.0526424\pi\) | |||||||
\(920\) | −12.4080 | − | 10.5364i | −0.409080 | − | 0.347374i | ||||
\(921\) | −3.89345 | − | 6.74365i | −0.128294 | − | 0.222211i | ||||
\(922\) | 3.18594 | + | 2.88429i | 0.104923 | + | 0.0949891i | ||||
\(923\) | 53.6409 | − | 53.6409i | 1.76561 | − | 1.76561i | ||||
\(924\) | −0.524698 | + | 1.74846i | −0.0172613 | + | 0.0575202i | ||||
\(925\) | −3.22884 | + | 7.70278i | −0.106163 | + | 0.253266i | ||||
\(926\) | −9.43426 | + | 0.468817i | −0.310029 | + | 0.0154063i | ||||
\(927\) | −12.7461 | − | 3.41530i | −0.418635 | − | 0.112173i | ||||
\(928\) | −14.9271 | + | 25.0647i | −0.490007 | + | 0.822789i | ||||
\(929\) | 44.9633 | + | 25.9596i | 1.47520 | + | 0.851706i | 0.999609 | − | 0.0279615i | \(-0.00890157\pi\) |
0.475589 | + | 0.879668i | \(0.342235\pi\) | |||||||
\(930\) | 1.19687 | − | 1.15474i | 0.0392469 | − | 0.0378655i | ||||
\(931\) | 9.39433 | − | 35.5875i | 0.307887 | − | 1.16633i | ||||
\(932\) | 29.4349 | − | 11.1165i | 0.964172 | − | 0.364133i | ||||
\(933\) | 1.29002 | − | 0.345661i | 0.0422335 | − | 0.0113164i | ||||
\(934\) | −7.11819 | + | 13.8772i | −0.232914 | + | 0.454076i | ||||
\(935\) | 12.2711 | + | 0.830356i | 0.401307 | + | 0.0271556i | ||||
\(936\) | −17.9264 | + | 45.5895i | −0.585942 | + | 1.49014i | ||||
\(937\) | −18.6851 | − | 18.6851i | −0.610416 | − | 0.610416i | 0.332638 | − | 0.943055i | \(-0.392061\pi\) |
−0.943055 | + | 0.332638i | \(0.892061\pi\) | |||||||
\(938\) | −7.58317 | − | 0.603320i | −0.247599 | − | 0.0196991i | ||||
\(939\) | 0.642846i | 0.0209785i | ||||||||
\(940\) | −42.4088 | + | 1.34650i | −1.38322 | + | 0.0439178i | ||||
\(941\) | 47.6790 | − | 27.5275i | 1.55429 | − | 0.897370i | 0.556506 | − | 0.830844i | \(-0.312142\pi\) |
0.997785 | − | 0.0665261i | \(-0.0211916\pi\) | |||||||
\(942\) | −8.54910 | + | 2.75220i | −0.278545 | + | 0.0896716i | ||||
\(943\) | −15.2240 | + | 4.07925i | −0.495761 | + | 0.132839i | ||||
\(944\) | −3.02843 | + | 2.66799i | −0.0985671 | + | 0.0868358i | ||||
\(945\) | 12.5743 | + | 2.50460i | 0.409043 | + | 0.0814747i | ||||
\(946\) | 11.1121 | − | 7.17356i | 0.361284 | − | 0.233232i | ||||
\(947\) | −3.47532 | + | 0.931210i | −0.112933 | + | 0.0302603i | −0.314843 | − | 0.949144i | \(-0.601952\pi\) |
0.201910 | + | 0.979404i | \(0.435285\pi\) | |||||||
\(948\) | −2.31585 | − | 1.89619i | −0.0752152 | − | 0.0615855i | ||||
\(949\) | −10.0413 | − | 17.3921i | −0.325955 | − | 0.564570i | ||||
\(950\) | 34.9607 | + | 12.6539i | 1.13427 | + | 0.410546i | ||||
\(951\) | 0.527676i | 0.0171111i | ||||||||
\(952\) | 0.878018 | + | 44.0907i | 0.0284567 | + | 1.42899i | ||||
\(953\) | −9.00314 | + | 9.00314i | −0.291640 | + | 0.291640i | −0.837728 | − | 0.546088i | \(-0.816117\pi\) |
0.546088 | + | 0.837728i | \(0.316117\pi\) | |||||||
\(954\) | 1.60028 | + | 32.2033i | 0.0518110 | + | 1.04262i | ||||
\(955\) | 32.1850 | + | 36.8569i | 1.04148 | + | 1.19266i | ||||
\(956\) | −2.73073 | − | 27.4081i | −0.0883181 | − | 0.886442i | ||||
\(957\) | −0.460472 | − | 1.71850i | −0.0148849 | − | 0.0555513i | ||||
\(958\) | −13.3072 | − | 2.86622i | −0.429938 | − | 0.0926035i | ||||
\(959\) | −1.92112 | − | 2.49406i | −0.0620360 | − | 0.0805373i | ||||
\(960\) | 1.91127 | − | 6.32964i | 0.0616860 | − | 0.204288i | ||||
\(961\) | −14.4877 | + | 25.0934i | −0.467345 | + | 0.809466i | ||||
\(962\) | 4.37873 | + | 13.6015i | 0.141176 | + | 0.438531i | ||||
\(963\) | 34.8042 | + | 9.32575i | 1.12155 | + | 0.300518i | ||||
\(964\) | −1.48354 | + | 1.06563i | −0.0477815 | + | 0.0343215i | ||||
\(965\) | −40.8207 | − | 27.4006i | −1.31407 | − | 0.882057i | ||||
\(966\) | 0.645678 | + | 3.50043i | 0.0207743 | + | 0.112625i | ||||
\(967\) | 4.36956 | − | 4.36956i | 0.140516 | − | 0.140516i | −0.633350 | − | 0.773866i | \(-0.718321\pi\) |
0.773866 | + | 0.633350i | \(0.218321\pi\) | |||||||
\(968\) | −26.2657 | + | 11.4395i | −0.844210 | + | 0.367679i | ||||
\(969\) | 9.91856 | − | 5.72648i | 0.318630 | − | 0.183961i | ||||
\(970\) | 18.9670 | + | 5.44812i | 0.608992 | + | 0.174928i | ||||
\(971\) | 9.24578 | − | 16.0142i | 0.296711 | − | 0.513919i | −0.678670 | − | 0.734443i | \(-0.737443\pi\) |
0.975382 | + | 0.220524i | \(0.0707768\pi\) | |||||||
\(972\) | 17.5512 | − | 6.62847i | 0.562956 | − | 0.212608i | ||||
\(973\) | 15.2097 | + | 11.6260i | 0.487600 | + | 0.372714i | ||||
\(974\) | −39.1567 | + | 25.2782i | −1.25466 | + | 0.809965i | ||||
\(975\) | −1.50594 | + | 11.0765i | −0.0482288 | + | 0.354732i | ||||
\(976\) | −12.4625 | − | 4.19906i | −0.398914 | − | 0.134409i | ||||
\(977\) | 1.57145 | − | 5.86472i | 0.0502750 | − | 0.187629i | −0.936222 | − | 0.351410i | \(-0.885702\pi\) |
0.986497 | + | 0.163781i | \(0.0523690\pi\) | |||||||
\(978\) | −9.38809 | − | 8.49921i | −0.300198 | − | 0.271775i | ||||
\(979\) | − | 11.1446i | − | 0.356182i | ||||||
\(980\) | 31.2853 | − | 1.10947i | 0.999372 | − | 0.0354407i | ||||
\(981\) | − | 12.3221i | − | 0.393414i | ||||||
\(982\) | −27.6037 | + | 30.4905i | −0.880868 | + | 0.972992i | ||||
\(983\) | 7.68312 | − | 28.6738i | 0.245054 | − | 0.914552i | −0.728303 | − | 0.685255i | \(-0.759691\pi\) |
0.973357 | − | 0.229297i | \(-0.0736427\pi\) | |||||||
\(984\) | −3.98830 | − | 5.00777i | −0.127142 | − | 0.159642i | ||||
\(985\) | 2.43478 | − | 1.19431i | 0.0775785 | − | 0.0380537i | ||||
\(986\) | −23.3105 | − | 36.1087i | −0.742358 | − | 1.14994i | ||||
\(987\) | 7.37130 | + | 5.63451i | 0.234631 | + | 0.179349i | ||||
\(988\) | 59.5063 | − | 22.4734i | 1.89315 | − | 0.714973i | ||||
\(989\) | 12.8949 | − | 22.3346i | 0.410034 | − | 0.710200i | ||||
\(990\) | −4.09394 | − | 7.39366i | −0.130114 | − | 0.234986i | ||||
\(991\) | 44.4018 | − | 25.6354i | 1.41047 | − | 0.814336i | 0.415038 | − | 0.909804i | \(-0.363768\pi\) |
0.995432 | + | 0.0954681i | \(0.0304348\pi\) | |||||||
\(992\) | 0.108966 | − | 8.04830i | 0.00345967 | − | 0.255534i | ||||
\(993\) | 2.35610 | − | 2.35610i | 0.0747685 | − | 0.0747685i | ||||
\(994\) | −46.1478 | + | 8.51226i | −1.46372 | + | 0.269992i | ||||
\(995\) | −4.27423 | − | 21.7281i | −0.135502 | − | 0.688826i | ||||
\(996\) | 5.62131 | + | 7.82585i | 0.178118 | + | 0.247971i | ||||
\(997\) | 4.03325 | + | 1.08071i | 0.127734 | + | 0.0342263i | 0.322120 | − | 0.946699i | \(-0.395605\pi\) |
−0.194385 | + | 0.980925i | \(0.562271\pi\) | |||||||
\(998\) | −3.16098 | + | 1.01761i | −0.100059 | + | 0.0322119i | ||||
\(999\) | 1.81008 | − | 3.13515i | 0.0572684 | − | 0.0991917i |
(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 | 280.2.br.a.107.34 | yes | 176 | |
5.3 | odd | 4 | inner | 280.2.br.a.163.11 | yes | 176 | |
7.4 | even | 3 | inner | 280.2.br.a.67.26 | yes | 176 | |
8.3 | odd | 2 | inner | 280.2.br.a.107.40 | yes | 176 | |
35.18 | odd | 12 | inner | 280.2.br.a.123.40 | yes | 176 | |
40.3 | even | 4 | inner | 280.2.br.a.163.26 | yes | 176 | |
56.11 | odd | 6 | inner | 280.2.br.a.67.11 | ✓ | 176 | |
280.123 | even | 12 | inner | 280.2.br.a.123.34 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.br.a.67.11 | ✓ | 176 | 56.11 | odd | 6 | inner | |
280.2.br.a.67.26 | yes | 176 | 7.4 | even | 3 | inner | |
280.2.br.a.107.34 | yes | 176 | 1.1 | even | 1 | trivial | |
280.2.br.a.107.40 | yes | 176 | 8.3 | odd | 2 | inner | |
280.2.br.a.123.34 | yes | 176 | 280.123 | even | 12 | inner | |
280.2.br.a.123.40 | yes | 176 | 35.18 | odd | 12 | inner | |
280.2.br.a.163.11 | yes | 176 | 5.3 | odd | 4 | inner | |
280.2.br.a.163.26 | yes | 176 | 40.3 | even | 4 | inner |