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 | 67.11 | ||
Character | \(\chi\) | \(=\) | 280.67 |
Dual form | 280.2.br.a.163.11 |
$q$-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 \(\left(\mathbb{Z}/280\mathbb{Z}\right)^\times\).
\(n\) | \(57\) | \(71\) | \(141\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(-1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.04840 | + | 0.949136i | −0.741330 | + | 0.671140i | ||||
\(3\) | −0.0956638 | − | 0.357022i | −0.0552315 | − | 0.206127i | 0.932796 | − | 0.360405i | \(-0.117362\pi\) |
−0.988027 | + | 0.154278i | \(0.950695\pi\) | |||||||
\(4\) | 0.198283 | − | 1.99015i | 0.0991414 | − | 0.995073i | ||||
\(5\) | −1.68428 | + | 1.47078i | −0.753233 | + | 0.657754i | ||||
\(6\) | 0.439157 | + | 0.283504i | 0.179285 | + | 0.115740i | ||||
\(7\) | −2.10200 | + | 1.60674i | −0.794481 | + | 0.607289i | ||||
\(8\) | 1.68104 | + | 2.27467i | 0.594337 | + | 0.804216i | ||||
\(9\) | 2.47976 | − | 1.43169i | 0.826588 | − | 0.477231i | ||||
\(10\) | 0.369825 | − | 3.14058i | 0.116949 | − | 0.993138i | ||||
\(11\) | −0.466681 | + | 0.808315i | −0.140710 | + | 0.243716i | −0.927764 | − | 0.373167i | \(-0.878272\pi\) |
0.787054 | + | 0.616884i | \(0.211605\pi\) | |||||||
\(12\) | −0.729495 | + | 0.119594i | −0.210587 | + | 0.0345237i | ||||
\(13\) | −4.27704 | − | 4.27704i | −1.18624 | − | 1.18624i | −0.978099 | − | 0.208140i | \(-0.933259\pi\) |
−0.208140 | − | 0.978099i | \(-0.566741\pi\) | |||||||
\(14\) | 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 | ||||
\(17\) | −5.69224 | + | 1.52523i | −1.38057 | + | 0.369923i | −0.871328 | − | 0.490701i | \(-0.836741\pi\) |
−0.509242 | + | 0.860623i | \(0.670074\pi\) | |||||||
\(18\) | −1.24091 | + | 3.85462i | −0.292486 | + | 0.908542i | ||||
\(19\) | −4.55363 | + | 2.62904i | −1.04467 | + | 0.603143i | −0.921154 | − | 0.389199i | \(-0.872752\pi\) |
−0.123521 | + | 0.992342i | \(0.539419\pi\) | |||||||
\(20\) | 2.59311 | + | 3.64359i | 0.579837 | + | 0.814732i | ||||
\(21\) | 0.774726 | + | 0.596754i | 0.169059 | + | 0.130222i | ||||
\(22\) | −0.277933 | − | 1.29038i | −0.0592555 | − | 0.275110i | ||||
\(23\) | −0.666144 | + | 2.48608i | −0.138901 | + | 0.518384i | 0.861051 | + | 0.508519i | \(0.169807\pi\) |
−0.999951 | + | 0.00986492i | \(0.996860\pi\) | |||||||
\(24\) | 0.651292 | − | 0.817772i | 0.132944 | − | 0.166927i | ||||
\(25\) | 0.673594 | − | 4.95442i | 0.134719 | − | 0.990884i | ||||
\(26\) | 8.54355 | + | 0.424555i | 1.67553 | + | 0.0832621i | ||||
\(27\) | −1.53244 | − | 1.53244i | −0.294919 | − | 0.294919i | ||||
\(28\) | 2.78085 | + | 4.50187i | 0.525532 | + | 0.850774i | ||||
\(29\) | −5.15709 | −0.957648 | −0.478824 | − | 0.877911i | \(-0.658937\pi\) | ||||
−0.478824 | + | 0.877911i | \(0.658937\pi\) | |||||||
\(30\) | −1.15664 | + | 0.168404i | −0.211172 | + | 0.0307462i | ||||
\(31\) | −1.23225 | − | 0.711441i | −0.221319 | − | 0.127779i | 0.385242 | − | 0.922816i | \(-0.374118\pi\) |
−0.606561 | + | 0.795037i | \(0.707451\pi\) | |||||||
\(32\) | 4.86024 | − | 2.89449i | 0.859177 | − | 0.511678i | ||||
\(33\) | 0.333231 | + | 0.0892890i | 0.0580081 | + | 0.0155432i | ||||
\(34\) | 4.52009 | − | 7.00176i | 0.775189 | − | 1.20079i | ||||
\(35\) | 1.17719 | − | 5.79778i | 0.198982 | − | 0.980003i | ||||
\(36\) | −2.35758 | − | 5.21897i | −0.392930 | − | 0.869829i | ||||
\(37\) | 1.61351 | + | 0.432338i | 0.265259 | + | 0.0710760i | 0.388997 | − | 0.921239i | \(-0.372822\pi\) |
−0.123738 | + | 0.992315i | \(0.539488\pi\) | |||||||
\(38\) | 2.27871 | − | 7.07830i | 0.369655 | − | 1.14825i | ||||
\(39\) | −1.11784 | + | 1.93616i | −0.178998 | + | 0.310033i | ||||
\(40\) | −6.17688 | − | 1.35873i | −0.976651 | − | 0.214834i | ||||
\(41\) | 6.12368 | 0.956358 | 0.478179 | − | 0.878262i | \(-0.341297\pi\) | ||||
0.478179 | + | 0.878262i | \(0.341297\pi\) | |||||||
\(42\) | −1.37862 | + | 0.109684i | −0.212726 | + | 0.0169246i | ||||
\(43\) | −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 | ||||
\(45\) | −2.07091 | + | 6.05856i | −0.308712 | + | 0.903157i | ||||
\(46\) | −1.66124 | − | 3.23867i | −0.244937 | − | 0.477515i | ||||
\(47\) | 9.16440 | + | 2.45559i | 1.33677 | + | 0.358185i | 0.855233 | − | 0.518243i | \(-0.173414\pi\) |
0.481532 | + | 0.876429i | \(0.340081\pi\) | |||||||
\(48\) | 0.0933627 | + | 1.47552i | 0.0134758 | + | 0.212972i | ||||
\(49\) | 1.83680 | − | 6.75472i | 0.262399 | − | 0.964959i | ||||
\(50\) | 3.99622 | + | 5.83354i | 0.565151 | + | 0.824987i | ||||
\(51\) | 1.08908 | + | 1.88635i | 0.152502 | + | 0.264141i | ||||
\(52\) | −9.36001 | + | 7.66388i | −1.29800 | + | 1.06279i | ||||
\(53\) | 7.69103 | − | 2.06081i | 1.05644 | − | 0.283073i | 0.311532 | − | 0.950236i | \(-0.399158\pi\) |
0.744912 | + | 0.667162i | \(0.232491\pi\) | |||||||
\(54\) | 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 | ||||
\(58\) | 5.40669 | − | 4.89478i | 0.709933 | − | 0.642716i | ||||
\(59\) | −0.873827 | − | 0.504505i | −0.113763 | − | 0.0656809i | 0.442039 | − | 0.896996i | \(-0.354255\pi\) |
−0.555802 | + | 0.831315i | \(0.687589\pi\) | |||||||
\(60\) | 1.05278 | − | 1.27436i | 0.135913 | − | 0.164519i | ||||
\(61\) | 2.84724 | − | 1.64386i | 0.364552 | − | 0.210474i | −0.306524 | − | 0.951863i | \(-0.599166\pi\) |
0.671076 | + | 0.741389i | \(0.265832\pi\) | |||||||
\(62\) | 1.96715 | − | 0.423700i | 0.249828 | − | 0.0538100i | ||||
\(63\) | −2.91211 | + | 6.99374i | −0.366891 | + | 0.881128i | ||||
\(64\) | −2.34821 | + | 7.64761i | −0.293526 | + | 0.955951i | ||||
\(65\) | 13.4943 | + | 0.913133i | 1.67377 | + | 0.113260i | ||||
\(66\) | −0.434107 | + | 0.222671i | −0.0534348 | + | 0.0274089i | ||||
\(67\) | −1.96381 | + | 0.526202i | −0.239918 | + | 0.0642859i | −0.376774 | − | 0.926305i | \(-0.622967\pi\) |
0.136856 | + | 0.990591i | \(0.456300\pi\) | |||||||
\(68\) | 1.90676 | + | 11.6308i | 0.231229 | + | 1.41044i | ||||
\(69\) | 0.951312 | 0.114525 | ||||||||
\(70\) | 4.26871 | + | 7.19570i | 0.510208 | + | 0.860051i | ||||
\(71\) | 12.5416i | 1.48841i | 0.667950 | + | 0.744206i | \(0.267172\pi\) | ||||
−0.667950 | + | 0.744206i | \(0.732828\pi\) | |||||||
\(72\) | 7.42520 | + | 3.23390i | 0.875068 | + | 0.381119i | ||||
\(73\) | 0.859326 | + | 3.20705i | 0.100576 | + | 0.375356i | 0.997806 | − | 0.0662084i | \(-0.0210902\pi\) |
−0.897229 | + | 0.441565i | \(0.854424\pi\) | |||||||
\(74\) | −2.10195 | + | 1.07818i | −0.244347 | + | 0.125335i | ||||
\(75\) | −1.83328 | + | 0.233471i | −0.211689 | + | 0.0269589i | ||||
\(76\) | 4.32927 | + | 9.58369i | 0.496601 | + | 1.09932i | ||||
\(77\) | −0.317787 | − | 2.44891i | −0.0362152 | − | 0.279079i | ||||
\(78\) | −0.665733 | − | 3.09085i | −0.0753794 | − | 0.349970i | ||||
\(79\) | −2.02447 | − | 3.50648i | −0.227770 | − | 0.394510i | 0.729377 | − | 0.684112i | \(-0.239810\pi\) |
−0.957147 | + | 0.289603i | \(0.906477\pi\) | |||||||
\(80\) | 7.76546 | − | 4.43821i | 0.868204 | − | 0.496207i | ||||
\(81\) | 3.89456 | − | 6.74557i | 0.432729 | − | 0.749508i | ||||
\(82\) | −6.42006 | + | 5.81220i | −0.708977 | + | 0.641851i | ||||
\(83\) | −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 | ||||
\(87\) | 0.493347 | + | 1.84120i | 0.0528924 | + | 0.197397i | ||||
\(88\) | −2.62316 | + | 0.297267i | −0.279630 | + | 0.0316888i | ||||
\(89\) | −10.3405 | + | 5.97011i | −1.09609 | + | 0.632831i | −0.935192 | − | 0.354140i | \(-0.884774\pi\) |
−0.160902 | + | 0.986970i | \(0.551440\pi\) | |||||||
\(90\) | −3.57926 | − | 8.31736i | −0.377287 | − | 0.876727i | ||||
\(91\) | 15.8624 | + | 2.11826i | 1.66283 | + | 0.222054i | ||||
\(92\) | 4.81558 | + | 1.81867i | 0.502059 | + | 0.189610i | ||||
\(93\) | −0.136118 | + | 0.508001i | −0.0141148 | + | 0.0526772i | ||||
\(94\) | −11.9386 | + | 6.12382i | −1.23138 | + | 0.631623i | ||||
\(95\) | 3.80284 | − | 11.1254i | 0.390163 | − | 1.14145i | ||||
\(96\) | −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 | \(0.852611\pi\) | |||||||
\(98\) | 4.48545 | + | 8.82501i | 0.453099 | + | 0.891460i | ||||
\(99\) | 2.67257i | 0.268604i | ||||||||
\(100\) | −9.72646 | − | 2.32293i | −0.972646 | − | 0.232293i | ||||
\(101\) | −1.30911 | − | 0.755818i | −0.130262 | − | 0.0752067i | 0.433453 | − | 0.901176i | \(-0.357295\pi\) |
−0.563715 | + | 0.825969i | \(0.690628\pi\) | |||||||
\(102\) | −2.93219 | − | 0.943957i | −0.290330 | − | 0.0934657i | ||||
\(103\) | 1.19275 | − | 4.45140i | 0.117525 | − | 0.438609i | −0.881938 | − | 0.471365i | \(-0.843762\pi\) |
0.999463 | + | 0.0327554i | \(0.0104282\pi\) | |||||||
\(104\) | 2.53896 | − | 16.9187i | 0.248966 | − | 1.65902i | ||||
\(105\) | −2.18255 | + | 0.134354i | −0.212995 | + | 0.0131116i | ||||
\(106\) | −6.10729 | + | 9.46038i | −0.593192 | + | 0.918873i | ||||
\(107\) | 3.25690 | − | 12.1549i | 0.314856 | − | 1.17506i | −0.609267 | − | 0.792965i | \(-0.708536\pi\) |
0.924123 | − | 0.382095i | \(-0.124797\pi\) | |||||||
\(108\) | −3.35365 | + | 2.74593i | −0.322705 | + | 0.264227i | ||||
\(109\) | −2.15167 | + | 3.72680i | −0.206092 | + | 0.356962i | −0.950480 | − | 0.310785i | \(-0.899408\pi\) |
0.744388 | + | 0.667747i | \(0.232741\pi\) | |||||||
\(110\) | 2.36599 | + | 1.76458i | 0.225588 | + | 0.168246i | ||||
\(111\) | − | 0.617418i | − | 0.0586027i | ||||||
\(112\) | 9.51078 | − | 4.64166i | 0.898685 | − | 0.438596i | ||||
\(113\) | −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 | ||||
\(115\) | −2.53452 | − | 5.16701i | −0.236345 | − | 0.481826i | ||||
\(116\) | −1.02256 | + | 10.2634i | −0.0949425 | + | 0.952930i | ||||
\(117\) | −16.7295 | − | 4.48265i | −1.54664 | − | 0.414421i | ||||
\(118\) | 1.39496 | − | 0.300459i | 0.128417 | − | 0.0276595i | ||||
\(119\) | 9.51443 | − | 12.3520i | 0.872186 | − | 1.13230i | ||||
\(120\) | 0.105808 | + | 2.33527i | 0.00965891 | + | 0.213180i | ||||
\(121\) | 5.06442 | + | 8.77183i | 0.460402 | + | 0.797439i | ||||
\(122\) | −1.42481 | + | 4.42584i | −0.128996 | + | 0.400697i | ||||
\(123\) | −0.585815 | − | 2.18629i | −0.0528211 | − | 0.197131i | ||||
\(124\) | −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 | −0.448897 | − | 0.893583i | \(-0.648183\pi\) |
0.893583 | + | 0.448897i | \(0.148183\pi\) | |||||||
\(128\) | −4.79676 | − | 10.2465i | −0.423977 | − | 0.905673i | ||||
\(129\) | 3.20744 | + | 1.85182i | 0.282400 | + | 0.163043i | ||||
\(130\) | −15.0141 | + | 11.8506i | −1.31683 | + | 1.03937i | ||||
\(131\) | −2.74939 | − | 4.76208i | −0.240215 | − | 0.416065i | 0.720560 | − | 0.693392i | \(-0.243885\pi\) |
−0.960775 | + | 0.277327i | \(0.910551\pi\) | |||||||
\(132\) | 0.243772 | − | 0.645474i | 0.0212176 | − | 0.0561813i | ||||
\(133\) | 5.34755 | − | 12.8427i | 0.463691 | − | 1.11361i | ||||
\(134\) | 1.55942 | − | 2.41560i | 0.134714 | − | 0.208676i | ||||
\(135\) | 4.83496 | + | 0.327171i | 0.416127 | + | 0.0281584i | ||||
\(136\) | −13.0383 | − | 10.3840i | −1.11802 | − | 0.890418i | ||||
\(137\) | −1.14935 | + | 0.307968i | −0.0981959 | + | 0.0263115i | −0.307582 | − | 0.951521i | \(-0.599520\pi\) |
0.209387 | + | 0.977833i | \(0.432853\pi\) | |||||||
\(138\) | −0.997355 | + | 0.902925i | −0.0849005 | + | 0.0768620i | ||||
\(139\) | 7.23581i | 0.613734i | 0.951752 | + | 0.306867i | \(0.0992806\pi\) | ||||
−0.951752 | + | 0.306867i | \(0.900719\pi\) | |||||||
\(140\) | −11.3050 | − | 3.49238i | −0.955448 | − | 0.295160i | ||||
\(141\) | − | 3.50681i | − | 0.295326i | ||||||
\(142\) | −11.9037 | − | 13.1486i | −0.998933 | − | 1.10340i | ||||
\(143\) | 5.45322 | − | 1.46119i | 0.456021 | − | 0.122190i | ||||
\(144\) | −10.8540 | + | 3.65710i | −0.904499 | + | 0.304759i | ||||
\(145\) | 8.68598 | − | 7.58496i | 0.721332 | − | 0.629897i | ||||
\(146\) | −3.94484 | − | 2.54665i | −0.326477 | − | 0.210762i | ||||
\(147\) | −2.58730 | − | 0.00959489i | −0.213397 | − | 0.000791373i | ||||
\(148\) | 1.18035 | − | 3.12539i | 0.0970240 | − | 0.256906i | ||||
\(149\) | 1.62968 | + | 2.82269i | 0.133509 | + | 0.231244i | 0.925027 | − | 0.379902i | \(-0.124042\pi\) |
−0.791518 | + | 0.611146i | \(0.790709\pi\) | |||||||
\(150\) | 1.70041 | − | 1.98480i | 0.138838 | − | 0.162058i | ||||
\(151\) | −15.5929 | − | 9.00258i | −1.26893 | − | 0.732620i | −0.294148 | − | 0.955760i | \(-0.595036\pi\) |
−0.974786 | + | 0.223140i | \(0.928369\pi\) | |||||||
\(152\) | −13.6350 | − | 5.93847i | −1.10595 | − | 0.481673i | ||||
\(153\) | −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 | ||||
\(157\) | −4.44696 | − | 16.5963i | −0.354906 | − | 1.32453i | −0.880603 | − | 0.473856i | \(-0.842862\pi\) |
0.525696 | − | 0.850672i | \(-0.323805\pi\) | |||||||
\(158\) | 5.45058 | + | 1.75470i | 0.433625 | + | 0.139596i | ||||
\(159\) | −1.47151 | − | 2.54872i | −0.116698 | − | 0.202127i | ||||
\(160\) | −3.92884 | + | 12.0235i | −0.310602 | + | 0.950540i | ||||
\(161\) | −2.59425 | − | 6.29606i | −0.204455 | − | 0.496199i | ||||
\(162\) | 2.31941 | + | 10.7685i | 0.182230 | + | 0.846055i | ||||
\(163\) | 23.4014 | + | 6.27040i | 1.83294 | + | 0.491135i | 0.998226 | − | 0.0595442i | \(-0.0189647\pi\) |
0.834717 | + | 0.550680i | \(0.185631\pi\) | |||||||
\(164\) | 1.21422 | − | 12.1870i | 0.0948147 | − | 0.951647i | ||||
\(165\) | −0.692579 | + | 0.339723i | −0.0539172 | + | 0.0264474i | ||||
\(166\) | 0.914889 | − | 18.4108i | 0.0710092 | − | 1.42895i | ||||
\(167\) | −0.324222 | + | 0.324222i | −0.0250891 | + | 0.0250891i | −0.719540 | − | 0.694451i | \(-0.755647\pi\) |
0.694451 | + | 0.719540i | \(0.255647\pi\) | |||||||
\(168\) | −0.0550701 | + | 2.76541i | −0.00424875 | + | 0.213356i | ||||
\(169\) | 23.5862i | 1.81432i | ||||||||
\(170\) | 2.68498 | + | 18.4410i | 0.205928 | + | 1.41436i | ||||
\(171\) | −7.52795 | + | 13.0388i | −0.575677 | + | 0.997101i | ||||
\(172\) | 12.6960 | + | 15.5058i | 0.968061 | + | 1.18231i | ||||
\(173\) | −3.01895 | + | 11.2669i | −0.229526 | + | 0.856605i | 0.751014 | + | 0.660287i | \(0.229565\pi\) |
−0.980540 | + | 0.196318i | \(0.937102\pi\) | |||||||
\(174\) | −2.26477 | − | 1.46206i | −0.171692 | − | 0.110838i | ||||
\(175\) | 6.54455 | + | 11.4965i | 0.494722 | + | 0.869051i | ||||
\(176\) | 2.46797 | − | 2.80139i | 0.186030 | − | 0.211162i | ||||
\(177\) | −0.0965257 | + | 0.360239i | −0.00725531 | + | 0.0270772i | ||||
\(178\) | 5.17457 | − | 16.0736i | 0.387850 | − | 1.20477i | ||||
\(179\) | −8.91929 | − | 5.14955i | −0.666659 | − | 0.384896i | 0.128151 | − | 0.991755i | \(-0.459096\pi\) |
−0.794810 | + | 0.606859i | \(0.792429\pi\) | |||||||
\(180\) | 11.6468 | + | 5.32271i | 0.868101 | + | 0.396732i | ||||
\(181\) | 4.32971i | 0.321825i | 0.986969 | + | 0.160912i | \(0.0514436\pi\) | ||||
−0.986969 | + | 0.160912i | \(0.948556\pi\) | |||||||
\(182\) | −18.6407 | + | 12.8348i | −1.38174 | + | 0.951380i | ||||
\(183\) | −0.859272 | − | 0.859272i | −0.0635192 | − | 0.0635192i | ||||
\(184\) | −6.77482 | + | 2.66395i | −0.499446 | + | 0.196389i | ||||
\(185\) | −3.35348 | + | 1.64494i | −0.246552 | + | 0.120939i | ||||
\(186\) | −0.339455 | − | 0.661783i | −0.0248901 | − | 0.0485243i | ||||
\(187\) | 1.42359 | − | 5.31292i | 0.104103 | − | 0.388519i | ||||
\(188\) | 6.70413 | − | 17.7516i | 0.488949 | − | 1.29467i | ||||
\(189\) | 5.68343 | + | 0.758962i | 0.413409 | + | 0.0552063i | ||||
\(190\) | 6.57266 | + | 15.2733i | 0.476831 | + | 1.10804i | ||||
\(191\) | −18.9512 | + | 10.9415i | −1.37126 | + | 0.791696i | −0.991086 | − | 0.133221i | \(-0.957468\pi\) |
−0.380171 | + | 0.924916i | \(0.624135\pi\) | |||||||
\(192\) | 2.95501 | + | 0.106764i | 0.213259 | + | 0.00770501i | ||||
\(193\) | −5.69064 | − | 21.2377i | −0.409621 | − | 1.52873i | −0.795371 | − | 0.606123i | \(-0.792724\pi\) |
0.385750 | − | 0.922603i | \(-0.373943\pi\) | |||||||
\(194\) | 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 | −0.675896 | − | 0.736997i | \(-0.736243\pi\) |
0.736997 | + | 0.675896i | \(0.236243\pi\) | |||||||
\(198\) | −2.53664 | − | 2.80193i | −0.180271 | − | 0.199124i | ||||
\(199\) | −4.95165 | + | 8.57652i | −0.351013 | + | 0.607973i | −0.986427 | − | 0.164199i | \(-0.947496\pi\) |
0.635414 | + | 0.772172i | \(0.280830\pi\) | |||||||
\(200\) | 12.4020 | − | 6.79638i | 0.876953 | − | 0.480576i | ||||
\(201\) | 0.375732 | + | 0.650787i | 0.0265021 | + | 0.0459030i | ||||
\(202\) | 2.08985 | − | 0.450129i | 0.147041 | − | 0.0316709i | ||||
\(203\) | 10.8402 | − | 8.28609i | 0.760833 | − | 0.581569i | ||||
\(204\) | 3.97005 | − | 1.79340i | 0.277959 | − | 0.125563i | ||||
\(205\) | −10.3140 | + | 9.00661i | −0.720360 | + | 0.629049i | ||||
\(206\) | 2.97450 | + | 5.79892i | 0.207243 | + | 0.404030i | ||||
\(207\) | 1.90742 | + | 7.11861i | 0.132575 | + | 0.494777i | ||||
\(208\) | 13.3963 | + | 20.1474i | 0.928868 | + | 1.39697i | ||||
\(209\) | − | 4.90769i | − | 0.339472i | ||||||
\(210\) | 2.16066 | − | 2.21239i | 0.149100 | − | 0.152670i | ||||
\(211\) | 18.4290 | 1.26871 | 0.634354 | − | 0.773043i | \(-0.281266\pi\) | ||||
0.634354 | + | 0.773043i | \(0.281266\pi\) | |||||||
\(212\) | −2.57631 | − | 15.7149i | −0.176941 | − | 1.07930i | ||||
\(213\) | 4.47762 | − | 1.19978i | 0.306802 | − | 0.0822073i | ||||
\(214\) | 8.12213 | + | 15.8344i | 0.555217 | + | 1.08242i | ||||
\(215\) | 1.51270 | − | 22.3547i | 0.103165 | − | 1.52458i | ||||
\(216\) | 0.909699 | − | 6.06190i | 0.0618972 | − | 0.412460i | ||||
\(217\) | 3.73329 | − | 0.484457i | 0.253432 | − | 0.0328871i | ||||
\(218\) | −1.28143 | − | 5.94939i | −0.0867893 | − | 0.402944i | ||||
\(219\) | 1.06278 | − | 0.613597i | 0.0718161 | − | 0.0414630i | ||||
\(220\) | −4.15533 | + | 0.395655i | −0.280152 | + | 0.0266751i | ||||
\(221\) | 30.8694 | + | 17.8225i | 2.07650 | + | 1.19887i | ||||
\(222\) | 0.586013 | + | 0.647300i | 0.0393306 | + | 0.0434440i | ||||
\(223\) | −15.5226 | − | 15.5226i | −1.03947 | − | 1.03947i | −0.999188 | − | 0.0402785i | \(-0.987175\pi\) |
−0.0402785 | − | 0.999188i | \(-0.512825\pi\) | |||||||
\(224\) | −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 | ||||
\(227\) | 20.3746 | − | 5.45937i | 1.35231 | − | 0.362351i | 0.491325 | − | 0.870977i | \(-0.336513\pi\) |
0.860988 | + | 0.508625i | \(0.169846\pi\) | |||||||
\(228\) | 3.00744 | − | 2.46246i | 0.199172 | − | 0.163080i | ||||
\(229\) | 5.62790 | + | 9.74781i | 0.371902 | + | 0.644153i | 0.989858 | − | 0.142059i | \(-0.0453724\pi\) |
−0.617956 | + | 0.786213i | \(0.712039\pi\) | |||||||
\(230\) | 7.56138 | + | 3.01149i | 0.498582 | + | 0.198572i | ||||
\(231\) | −0.843915 | + | 0.347729i | −0.0555255 | + | 0.0228789i | ||||
\(232\) | −8.66928 | − | 11.7307i | −0.569166 | − | 0.770155i | ||||
\(233\) | −15.1960 | − | 4.07176i | −0.995523 | − | 0.266750i | −0.275954 | − | 0.961171i | \(-0.588994\pi\) |
−0.719569 | + | 0.694421i | \(0.755660\pi\) | |||||||
\(234\) | 21.7938 | − | 11.1789i | 1.42471 | − | 0.730789i | ||||
\(235\) | −19.0471 | + | 9.34294i | −1.24249 | + | 0.609466i | ||||
\(236\) | −1.17730 | + | 1.63901i | −0.0766359 | + | 0.106690i | ||||
\(237\) | −1.05822 | + | 1.05822i | −0.0687390 | + | 0.0687390i | ||||
\(238\) | 1.74876 | + | 21.9803i | 0.113355 | + | 1.42477i | ||||
\(239\) | −13.7719 | −0.890831 | −0.445415 | − | 0.895324i | \(-0.646944\pi\) | ||||
−0.445415 | + | 0.895324i | \(0.646944\pi\) | |||||||
\(240\) | −2.32741 | − | 2.34786i | −0.150234 | − | 0.151554i | ||||
\(241\) | −0.456648 | + | 0.790937i | −0.0294153 | + | 0.0509487i | −0.880358 | − | 0.474309i | \(-0.842698\pi\) |
0.850943 | + | 0.525258i | \(0.176031\pi\) | |||||||
\(242\) | −13.6352 | − | 4.38956i | −0.876503 | − | 0.282172i | ||||
\(243\) | −9.06096 | − | 2.42788i | −0.581261 | − | 0.155748i | ||||
\(244\) | −2.70696 | − | 5.99238i | −0.173295 | − | 0.383623i | ||||
\(245\) | 6.84105 | + | 14.0784i | 0.437058 | + | 0.899433i | ||||
\(246\) | 2.68925 | + | 1.73609i | 0.171461 | + | 0.110689i | ||||
\(247\) | 30.7206 | + | 8.23156i | 1.95471 | + | 0.523762i | ||||
\(248\) | −0.453174 | − | 3.99892i | −0.0287766 | − | 0.253932i | ||||
\(249\) | 4.17230 | + | 2.40888i | 0.264409 | + | 0.152656i | ||||
\(250\) | −15.3106 | − | 3.94774i | −0.968329 | − | 0.249677i | ||||
\(251\) | 0.192874 | 0.0121741 | 0.00608705 | − | 0.999981i | \(-0.498062\pi\) | ||||
0.00608705 | + | 0.999981i | \(0.498062\pi\) | |||||||
\(252\) | 13.3411 | + | 7.18226i | 0.840413 | + | 0.452440i | ||||
\(253\) | −1.69866 | − | 1.69866i | −0.106794 | − | 0.106794i | ||||
\(254\) | −0.497446 | + | 10.0104i | −0.0312126 | + | 0.628106i | ||||
\(255\) | −4.60873 | − | 1.57533i | −0.288610 | − | 0.0986510i | ||||
\(256\) | 14.7543 | + | 6.18967i | 0.922141 | + | 0.386854i | ||||
\(257\) | −5.00515 | + | 18.6795i | −0.312213 | + | 1.16519i | 0.614343 | + | 0.789039i | \(0.289421\pi\) |
−0.926556 | + | 0.376156i | \(0.877246\pi\) | |||||||
\(258\) | −5.12031 | + | 1.10285i | −0.318776 | + | 0.0686607i | ||||
\(259\) | −4.08625 | + | 1.68371i | −0.253907 | + | 0.104621i | ||||
\(260\) | 4.49296 | − | 26.6747i | 0.278642 | − | 1.65429i | ||||
\(261\) | −12.7884 | + | 7.38336i | −0.791580 | + | 0.457019i | ||||
\(262\) | 7.40232 | + | 2.38302i | 0.457317 | + | 0.147223i | ||||
\(263\) | −19.5636 | + | 5.24206i | −1.20635 | + | 0.323239i | −0.805327 | − | 0.592831i | \(-0.798010\pi\) |
−0.401018 | + | 0.916070i | \(0.631344\pi\) | |||||||
\(264\) | 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 | ||||
\(268\) | 0.657830 | + | 4.01262i | 0.0401833 | + | 0.245110i | ||||
\(269\) | −2.29596 | + | 3.97672i | −0.139987 | + | 0.242465i | −0.927491 | − | 0.373844i | \(-0.878039\pi\) |
0.787504 | + | 0.616309i | \(0.211373\pi\) | |||||||
\(270\) | −5.37950 | + | 4.24603i | −0.327386 | + | 0.258405i | ||||
\(271\) | 18.4195 | − | 10.6345i | 1.11890 | − | 0.645999i | 0.177782 | − | 0.984070i | \(-0.443108\pi\) |
0.941121 | + | 0.338071i | \(0.109774\pi\) | |||||||
\(272\) | 23.5251 | − | 1.48854i | 1.42642 | − | 0.0902561i | ||||
\(273\) | −0.761195 | − | 5.86588i | −0.0460696 | − | 0.355019i | ||||
\(274\) | 0.912678 | − | 1.41377i | 0.0551369 | − | 0.0854087i | ||||
\(275\) | 3.69038 | + | 2.85661i | 0.222538 | + | 0.172260i | ||||
\(276\) | 0.188629 | − | 1.89325i | 0.0113541 | − | 0.113960i | ||||
\(277\) | 4.14367 | + | 15.4644i | 0.248969 | + | 0.929164i | 0.971347 | + | 0.237666i | \(0.0763824\pi\) |
−0.722378 | + | 0.691498i | \(0.756951\pi\) | |||||||
\(278\) | −6.86777 | − | 7.58602i | −0.411901 | − | 0.454979i | ||||
\(279\) | −4.07426 | −0.243920 | ||||||||
\(280\) | 15.1669 | − | 7.06858i | 0.906396 | − | 0.422428i | ||||
\(281\) | −18.0107 | −1.07443 | −0.537214 | − | 0.843446i | \(-0.680523\pi\) | ||||
−0.537214 | + | 0.843446i | \(0.680523\pi\) | |||||||
\(282\) | 3.32844 | + | 3.67653i | 0.198205 | + | 0.218934i | ||||
\(283\) | −0.969897 | − | 3.61970i | −0.0576544 | − | 0.215169i | 0.931089 | − | 0.364793i | \(-0.118860\pi\) |
−0.988743 | + | 0.149624i | \(0.952194\pi\) | |||||||
\(284\) | 24.9596 | + | 2.48678i | 1.48108 | + | 0.147563i | ||||
\(285\) | −4.33582 | − | 0.293396i | −0.256832 | − | 0.0173793i | ||||
\(286\) | −4.33029 | + | 6.70775i | −0.256055 | + | 0.396638i | ||||
\(287\) | −12.8720 | + | 9.83914i | −0.759808 | + | 0.580786i | ||||
\(288\) | 7.90823 | − | 14.1360i | 0.465997 | − | 0.832973i | ||||
\(289\) | 15.3528 | − | 8.86395i | 0.903106 | − | 0.521409i | ||||
\(290\) | −1.90722 | + | 16.1962i | −0.111996 | + | 0.951076i | ||||
\(291\) | −1.15328 | + | 1.99754i | −0.0676065 | + | 0.117098i | ||||
\(292\) | 6.55288 | − | 1.07428i | 0.383478 | − | 0.0628676i | ||||
\(293\) | −6.03311 | − | 6.03311i | −0.352458 | − | 0.352458i | 0.508565 | − | 0.861023i | \(-0.330176\pi\) |
−0.861023 | + | 0.508565i | \(0.830176\pi\) | |||||||
\(294\) | 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 | ||||
\(297\) | 1.95386 | − | 0.523536i | 0.113375 | − | 0.0303786i | ||||
\(298\) | −4.38767 | − | 1.41252i | −0.254171 | − | 0.0818250i | ||||
\(299\) | 13.4822 | − | 7.78396i | 0.779696 | − | 0.450158i | ||||
\(300\) | 0.101134 | + | 3.69478i | 0.00583897 | + | 0.213318i | ||||
\(301\) | 3.50911 | − | 26.2777i | 0.202262 | − | 1.51462i | ||||
\(302\) | 24.8923 | − | 5.36150i | 1.43239 | − | 0.308520i | ||||
\(303\) | −0.144609 | + | 0.539687i | −0.00830756 | + | 0.0310042i | ||||
\(304\) | 19.9314 | − | 6.71560i | 1.14314 | − | 0.385166i | ||||
\(305\) | −2.37780 | + | 6.95639i | −0.136152 | + | 0.398322i | ||||
\(306\) | 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 | \(0.955308\pi\) | |||||||
\(308\) | −4.93671 | + | 0.146866i | −0.281295 | + | 0.00836845i | ||||
\(309\) | −1.70335 | −0.0969002 | ||||||||
\(310\) | −2.69005 | + | 3.60688i | −0.152785 | + | 0.204857i | ||||
\(311\) | 3.12920 | + | 1.80664i | 0.177441 | + | 0.102445i | 0.586090 | − | 0.810246i | \(-0.300667\pi\) |
−0.408649 | + | 0.912692i | \(0.634000\pi\) | |||||||
\(312\) | −6.28325 | + | 0.712043i | −0.355719 | + | 0.0403115i | ||||
\(313\) | −1.67996 | − | 0.450144i | −0.0949570 | − | 0.0254437i | 0.211028 | − | 0.977480i | \(-0.432319\pi\) |
−0.305985 | + | 0.952036i | \(0.598986\pi\) | |||||||
\(314\) | 20.4143 | + | 13.1788i | 1.15205 | + | 0.743721i | ||||
\(315\) | −5.38147 | − | 16.0625i | −0.303212 | − | 0.905019i | ||||
\(316\) | −7.37983 | + | 3.33371i | −0.415148 | + | 0.187536i | ||||
\(317\) | 1.37898 | + | 0.369498i | 0.0774515 | + | 0.0207531i | 0.297337 | − | 0.954773i | \(-0.403902\pi\) |
−0.219885 | + | 0.975526i | \(0.570568\pi\) | |||||||
\(318\) | 3.96181 | + | 1.27542i | 0.222167 | + | 0.0715221i | ||||
\(319\) | 2.40672 | − | 4.16856i | 0.134750 | − | 0.233394i | ||||
\(320\) | −7.29293 | − | 16.3344i | −0.407687 | − | 0.913122i | ||||
\(321\) | −4.65114 | −0.259601 | ||||||||
\(322\) | 8.69562 | + | 4.13849i | 0.484588 | + | 0.230629i | ||||
\(323\) | 21.9105 | − | 21.9105i | 1.21913 | − | 1.21913i | ||||
\(324\) | −12.6525 | − | 9.08827i | −0.702914 | − | 0.504904i | ||||
\(325\) | −24.0713 | + | 18.3093i | −1.33523 | + | 1.01562i | ||||
\(326\) | −30.4855 | + | 15.6373i | −1.68844 | + | 0.866068i | ||||
\(327\) | 1.53639 | + | 0.411673i | 0.0849623 | + | 0.0227656i | ||||
\(328\) | 10.2942 | + | 13.9293i | 0.568399 | + | 0.769119i | ||||
\(329\) | −23.2090 | + | 9.56312i | −1.27956 | + | 0.527232i | ||||
\(330\) | 0.403656 | − | 1.01352i | 0.0222205 | − | 0.0557923i | ||||
\(331\) | 4.50741 | + | 7.80706i | 0.247750 | + | 0.429115i | 0.962901 | − | 0.269855i | \(-0.0869757\pi\) |
−0.715152 | + | 0.698969i | \(0.753642\pi\) | |||||||
\(332\) | 16.5152 | + | 20.1702i | 0.906388 | + | 1.10698i | ||||
\(333\) | 4.62010 | − | 1.23795i | 0.253180 | − | 0.0678393i | ||||
\(334\) | 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 | \(0.938692\pi\) | |||||||
\(338\) | −22.3865 | − | 24.7278i | −1.21767 | − | 1.34501i | ||||
\(339\) | 1.47963 | + | 0.854263i | 0.0803623 | + | 0.0463972i | ||||
\(340\) | −20.3179 | − | 16.7851i | −1.10189 | − | 0.910300i | ||||
\(341\) | 1.15014 | − | 0.664033i | 0.0622835 | − | 0.0359594i | ||||
\(342\) | −4.48328 | − | 20.8149i | −0.242428 | − | 1.12554i | ||||
\(343\) | 6.99211 | + | 17.1496i | 0.377538 | + | 0.925994i | ||||
\(344\) | −28.0276 | − | 4.20605i | −1.51115 | − | 0.226775i | ||||
\(345\) | −1.60228 | + | 1.39917i | −0.0862636 | + | 0.0753290i | ||||
\(346\) | −7.52873 | − | 14.6776i | −0.404747 | − | 0.789071i | ||||
\(347\) | 16.1957 | − | 4.33964i | 0.869433 | − | 0.232964i | 0.203590 | − | 0.979056i | \(-0.434739\pi\) |
0.665842 | + | 0.746092i | \(0.268072\pi\) | |||||||
\(348\) | 3.76207 | − | 0.616756i | 0.201668 | − | 0.0330616i | ||||
\(349\) | −2.69468 | −0.144243 | −0.0721214 | − | 0.997396i | \(-0.522977\pi\) | ||||
−0.0721214 | + | 0.997396i | \(0.522977\pi\) | |||||||
\(350\) | −17.7730 | − | 5.84122i | −0.950008 | − | 0.312226i | ||||
\(351\) | 13.1087i | 0.699689i | ||||||||
\(352\) | 0.0714778 | + | 5.27941i | 0.00380978 | + | 0.281394i | ||||
\(353\) | 2.33442 | + | 8.71218i | 0.124249 | + | 0.463703i | 0.999812 | − | 0.0194013i | \(-0.00617601\pi\) |
−0.875563 | + | 0.483104i | \(0.839509\pi\) | |||||||
\(354\) | −0.240718 | − | 0.469290i | −0.0127940 | − | 0.0249425i | ||||
\(355\) | −18.4459 | − | 21.1235i | −0.979009 | − | 1.12112i | ||||
\(356\) | 9.83105 | + | 21.7630i | 0.521045 | + | 1.15343i | ||||
\(357\) | −5.32011 | − | 2.21523i | −0.281570 | − | 0.117242i | ||||
\(358\) | 14.2386 | − | 3.06683i | 0.752534 | − | 0.162087i | ||||
\(359\) | −7.69847 | − | 13.3341i | −0.406310 | − | 0.703749i | 0.588163 | − | 0.808742i | \(-0.299851\pi\) |
−0.994473 | + | 0.104993i | \(0.966518\pi\) | |||||||
\(360\) | −17.2625 | + | 5.47407i | −0.909813 | + | 0.288509i | ||||
\(361\) | 4.32370 | − | 7.48887i | 0.227563 | − | 0.394151i | ||||
\(362\) | −4.10948 | − | 4.53926i | −0.215989 | − | 0.238578i | ||||
\(363\) | 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 | ||||
\(367\) | 1.70324 | + | 6.35657i | 0.0889083 | + | 0.331810i | 0.996026 | − | 0.0890677i | \(-0.0283888\pi\) |
−0.907117 | + | 0.420878i | \(0.861722\pi\) | |||||||
\(368\) | 4.57427 | − | 9.22310i | 0.238450 | − | 0.480788i | ||||
\(369\) | 15.1853 | − | 8.76722i | 0.790514 | − | 0.456403i | ||||
\(370\) | 1.95451 | − | 4.90746i | 0.101610 | − | 0.255127i | ||||
\(371\) | −12.8554 | + | 16.6893i | −0.667417 | + | 0.866464i | ||||
\(372\) | 0.984006 | + | 0.371623i | 0.0510183 | + | 0.0192678i | ||||
\(373\) | 0.491068 | − | 1.83269i | 0.0254265 | − | 0.0948931i | −0.952047 | − | 0.305953i | \(-0.901025\pi\) |
0.977473 | + | 0.211060i | \(0.0676916\pi\) | |||||||
\(374\) | 3.55019 | + | 6.92124i | 0.183576 | + | 0.357889i | ||||
\(375\) | 2.74437 | − | 3.08958i | 0.141718 | − | 0.159545i | ||||
\(376\) | 9.82007 | + | 24.9739i | 0.506431 | + | 1.28793i | ||||
\(377\) | 22.0571 | + | 22.0571i | 1.13600 | + | 1.13600i | ||||
\(378\) | −6.67886 | + | 4.59865i | −0.343524 | + | 0.236529i | ||||
\(379\) | − | 8.18575i | − | 0.420473i | −0.977651 | − | 0.210237i | \(-0.932577\pi\) | ||
0.977651 | − | 0.210237i | \(-0.0674235\pi\) | |||||||
\(380\) | −21.3872 | − | 9.77419i | −1.09714 | − | 0.501405i | ||||
\(381\) | −2.26857 | − | 1.30976i | −0.116223 | − | 0.0671011i | ||||
\(382\) | 9.48345 | − | 29.4582i | 0.485216 | − | 1.50721i | ||||
\(383\) | −9.33107 | + | 34.8240i | −0.476796 | + | 1.77943i | 0.137666 | + | 0.990479i | \(0.456040\pi\) |
−0.614462 | + | 0.788947i | \(0.710627\pi\) | |||||||
\(384\) | −3.19936 | + | 2.69277i | −0.163267 | + | 0.137415i | ||||
\(385\) | 4.13706 | + | 3.65726i | 0.210844 | + | 0.186391i | ||||
\(386\) | 26.1236 | + | 16.8645i | 1.32965 | + | 0.858378i | ||||
\(387\) | −7.42596 | + | 27.7141i | −0.377483 | + | 1.40878i | ||||
\(388\) | −9.65674 | + | 7.90685i | −0.490247 | + | 0.401409i | ||||
\(389\) | 4.99176 | − | 8.64599i | 0.253092 | − | 0.438369i | −0.711283 | − | 0.702906i | \(-0.751886\pi\) |
0.964376 | + | 0.264537i | \(0.0852190\pi\) | |||||||
\(390\) | 5.66725 | + | 4.22671i | 0.286972 | + | 0.214028i | ||||
\(391\) | − | 15.1674i | − | 0.767048i | ||||||
\(392\) | 18.4524 | − | 7.17685i | 0.931989 | − | 0.362486i | ||||
\(393\) | −1.43715 | + | 1.43715i | −0.0724947 | + | 0.0724947i | ||||
\(394\) | −0.0851271 | + | 1.71306i | −0.00428864 | + | 0.0863025i | ||||
\(395\) | 8.56704 | + | 2.92834i | 0.431055 | + | 0.147341i | ||||
\(396\) | 5.31881 | + | 0.529925i | 0.267281 | + | 0.0266297i | ||||
\(397\) | −23.7461 | − | 6.36274i | −1.19178 | − | 0.319337i | −0.392191 | − | 0.919884i | \(-0.628283\pi\) |
−0.799589 | + | 0.600547i | \(0.794949\pi\) | |||||||
\(398\) | −2.94897 | − | 13.6914i | −0.147818 | − | 0.686288i | ||||
\(399\) | −5.09671 | − | 0.680611i | −0.255154 | − | 0.0340731i | ||||
\(400\) | −6.55155 | + | 18.8965i | −0.327578 | + | 0.944824i | ||||
\(401\) | −0.336778 | − | 0.583317i | −0.0168179 | − | 0.0291295i | 0.857494 | − | 0.514494i | \(-0.172020\pi\) |
−0.874312 | + | 0.485365i | \(0.838687\pi\) | |||||||
\(402\) | −1.01160 | − | 0.325664i | −0.0504541 | − | 0.0162426i | ||||
\(403\) | 2.22753 | + | 8.31327i | 0.110961 | + | 0.414113i | ||||
\(404\) | −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 | ||||
\(408\) | −2.46002 | + | 5.64832i | −0.121789 | + | 0.279634i | ||||
\(409\) | 16.9971 | + | 9.81326i | 0.840450 | + | 0.485234i | 0.857417 | − | 0.514622i | \(-0.172068\pi\) |
−0.0169669 | + | 0.999856i | \(0.505401\pi\) | |||||||
\(410\) | 2.26469 | − | 19.2319i | 0.111845 | − | 0.949796i | ||||
\(411\) | 0.219903 | + | 0.380883i | 0.0108470 | + | 0.0187876i | ||||
\(412\) | −8.62243 | − | 3.25638i | −0.424797 | − | 0.160430i | ||||
\(413\) | 2.64739 | − | 0.343543i | 0.130270 | − | 0.0169046i | ||||
\(414\) | −8.75627 | − | 5.65274i | −0.430347 | − | 0.277817i | ||||
\(415\) | 1.96774 | − | 29.0794i | 0.0965927 | − | 1.42745i | ||||
\(416\) | −33.1673 | − | 8.40760i | −1.62616 | − | 0.412217i | ||||
\(417\) | 2.58335 | − | 0.692206i | 0.126507 | − | 0.0338975i | ||||
\(418\) | 4.65807 | + | 5.14522i | 0.227834 | + | 0.251661i | ||||
\(419\) | 18.0799i | 0.883263i | 0.897197 | + | 0.441631i | \(0.145600\pi\) | ||||
−0.897197 | + | 0.441631i | \(0.854400\pi\) | |||||||
\(420\) | −0.165378 | + | 4.37024i | −0.00806962 | + | 0.213246i | ||||
\(421\) | 16.5073i | 0.804518i | 0.915526 | + | 0.402259i | \(0.131775\pi\) | ||||
−0.915526 | + | 0.402259i | \(0.868225\pi\) | |||||||
\(422\) | −19.3210 | + | 17.4917i | −0.940531 | + | 0.851481i | ||||
\(423\) | 26.2412 | − | 7.03131i | 1.27589 | − | 0.341874i | ||||
\(424\) | 17.6166 | + | 14.0302i | 0.855537 | + | 0.681368i | ||||
\(425\) | 3.72238 | + | 29.2291i | 0.180562 | + | 1.41782i | ||||
\(426\) | −3.55559 | + | 5.50772i | −0.172269 | + | 0.266850i | ||||
\(427\) | −3.34366 | + | 8.03016i | −0.161811 | + | 0.388606i | ||||
\(428\) | −23.5443 | − | 8.89182i | −1.13806 | − | 0.429802i | ||||
\(429\) | −1.04335 | − | 1.80714i | −0.0503735 | − | 0.0872494i | ||||
\(430\) | 19.6318 | + | 24.8725i | 0.946728 | + | 1.19946i | ||||
\(431\) | −14.3957 | − | 8.31135i | −0.693416 | − | 0.400344i | 0.111475 | − | 0.993767i | \(-0.464443\pi\) |
−0.804890 | + | 0.593423i | \(0.797776\pi\) | |||||||
\(432\) | 4.79984 | + | 7.21872i | 0.230932 | + | 0.347311i | ||||
\(433\) | 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 | ||||
\(437\) | −3.50264 | − | 13.0720i | −0.167554 | − | 0.625319i | ||||
\(438\) | −0.531832 | + | 1.65202i | −0.0254119 | + | 0.0789365i | ||||
\(439\) | 0.223132 | + | 0.386476i | 0.0106495 | + | 0.0184455i | 0.871301 | − | 0.490749i | \(-0.163277\pi\) |
−0.860652 | + | 0.509194i | \(0.829943\pi\) | |||||||
\(440\) | 3.98091 | − | 4.35878i | 0.189783 | − | 0.207796i | ||||
\(441\) | −5.11585 | − | 19.3798i | −0.243612 | − | 0.922848i | ||||
\(442\) | −49.2794 | + | 10.6142i | −2.34398 | + | 0.504866i | ||||
\(443\) | −37.3383 | − | 10.0048i | −1.77400 | − | 0.475341i | −0.784528 | − | 0.620094i | \(-0.787095\pi\) |
−0.989468 | + | 0.144753i | \(0.953761\pi\) | |||||||
\(444\) | −1.22875 | − | 0.122423i | −0.0583140 | − | 0.00580995i | ||||
\(445\) | 8.63561 | − | 25.2640i | 0.409367 | − | 1.19763i | ||||
\(446\) | 31.0068 | + | 1.54083i | 1.46822 | + | 0.0729602i | ||||
\(447\) | 0.851862 | − | 0.851862i | 0.0402917 | − | 0.0402917i | ||||
\(448\) | −7.35176 | − | 19.8482i | −0.347338 | − | 0.937740i | ||||
\(449\) | − | 31.7000i | − | 1.49602i | −0.663689 | − | 0.748008i | \(-0.731010\pi\) | ||
0.663689 | − | 0.748008i | \(-0.268990\pi\) | |||||||
\(450\) | 18.2615 | + | 8.74444i | 0.860856 | + | 0.412217i | ||||
\(451\) | −2.85781 | + | 4.94987i | −0.134569 | + | 0.233080i | ||||
\(452\) | 5.85680 | + | 7.15299i | 0.275480 | + | 0.336448i | ||||
\(453\) | −1.72244 | + | 6.42824i | −0.0809274 | + | 0.302025i | ||||
\(454\) | −16.1791 | + | 25.0619i | −0.759322 | + | 1.17621i | ||||
\(455\) | −29.8323 | + | 19.7624i | −1.39856 | + | 0.926478i | ||||
\(456\) | −0.815787 | + | 5.43610i | −0.0382027 | + | 0.254569i | ||||
\(457\) | −7.27728 | + | 27.1592i | −0.340417 | + | 1.27045i | 0.557459 | + | 0.830205i | \(0.311776\pi\) |
−0.897876 | + | 0.440249i | \(0.854890\pi\) | |||||||
\(458\) | −15.1523 | − | 4.87796i | −0.708019 | − | 0.227932i | ||||
\(459\) | 11.0604 | + | 6.38571i | 0.516254 | + | 0.298059i | ||||
\(460\) | −10.7857 | + | 4.01953i | −0.502884 | + | 0.187411i | ||||
\(461\) | − | 3.03886i | − | 0.141534i | −0.997493 | − | 0.0707669i | \(-0.977455\pi\) | ||
0.997493 | − | 0.0707669i | \(-0.0225447\pi\) | |||||||
\(462\) | 0.554718 | − | 1.16555i | 0.0258078 | − | 0.0542263i | ||||
\(463\) | 4.72295 | + | 4.72295i | 0.219494 | + | 0.219494i | 0.808285 | − | 0.588791i | \(-0.200396\pi\) |
−0.588791 | + | 0.808285i | \(0.700396\pi\) | |||||||
\(464\) | 20.2229 | + | 4.07010i | 0.938822 | + | 0.188950i | ||||
\(465\) | −0.517898 | − | 1.05582i | −0.0240169 | − | 0.0489623i | ||||
\(466\) | 19.7961 | − | 10.1542i | 0.917038 | − | 0.470386i | ||||
\(467\) | 2.85433 | − | 10.6525i | 0.132082 | − | 0.492939i | −0.867910 | − | 0.496721i | \(-0.834537\pi\) |
0.999993 | + | 0.00378232i | \(0.00120395\pi\) | |||||||
\(468\) | −12.2383 | + | 32.4053i | −0.565715 | + | 1.49793i | ||||
\(469\) | 3.28247 | − | 4.26141i | 0.151570 | − | 0.196774i | ||||
\(470\) | 11.1012 | − | 27.8734i | 0.512060 | − | 1.28570i | ||||
\(471\) | −5.49983 | + | 3.17533i | −0.253419 | + | 0.146311i | ||||
\(472\) | −0.321360 | − | 2.83576i | −0.0147918 | − | 0.130526i | ||||
\(473\) | −2.42060 | − | 9.03381i | −0.111299 | − | 0.415375i | ||||
\(474\) | 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 | ||||
\(478\) | 14.4385 | − | 13.0714i | 0.660400 | − | 0.597872i | ||||
\(479\) | 4.81272 | − | 8.33587i | 0.219899 | − | 0.380876i | −0.734878 | − | 0.678199i | \(-0.762761\pi\) |
0.954777 | + | 0.297323i | \(0.0960940\pi\) | |||||||
\(480\) | 4.66850 | + | 0.252469i | 0.213087 | + | 0.0115236i | ||||
\(481\) | −5.05192 | − | 8.75018i | −0.230348 | − | 0.398974i | ||||
\(482\) | −0.271957 | − | 1.26264i | −0.0123873 | − | 0.0575116i | ||||
\(483\) | −1.99966 | + | 1.52851i | −0.0909876 | + | 0.0695495i | ||||
\(484\) | 18.4614 | − | 8.33963i | 0.839155 | − | 0.379074i | ||||
\(485\) | 13.9221 | + | 0.942081i | 0.632172 | + | 0.0427777i | ||||
\(486\) | 11.8039 | − | 6.05470i | 0.535436 | − | 0.274647i | ||||
\(487\) | −8.52972 | − | 31.8333i | −0.386518 | − | 1.44251i | −0.835760 | − | 0.549096i | \(-0.814972\pi\) |
0.449241 | − | 0.893410i | \(-0.351694\pi\) | |||||||
\(488\) | 8.52556 | + | 3.71314i | 0.385934 | + | 0.168086i | ||||
\(489\) | − | 8.95469i | − | 0.404945i | ||||||
\(490\) | −20.5344 | − | 8.26666i | −0.927650 | − | 0.373450i | ||||
\(491\) | −29.0829 | −1.31250 | −0.656248 | − | 0.754546i | \(-0.727857\pi\) | ||||
−0.656248 | + | 0.754546i | \(0.727857\pi\) | |||||||
\(492\) | −4.46720 | + | 0.732354i | −0.201397 | + | 0.0330171i | ||||
\(493\) | 29.3554 | − | 7.86575i | 1.32210 | − | 0.354256i | ||||
\(494\) | −40.0203 | + | 20.5281i | −1.80060 | + | 0.923601i | ||||
\(495\) | −3.93078 | − | 4.50136i | −0.176675 | − | 0.202321i | ||||
\(496\) | 4.27063 | + | 3.76235i | 0.191757 | + | 0.168934i | ||||
\(497\) | −20.1510 | − | 26.3624i | −0.903897 | − | 1.18251i | ||||
\(498\) | −6.66059 | + | 1.43461i | −0.298468 | + | 0.0642865i | ||||
\(499\) | 2.03353 | − | 1.17406i | 0.0910334 | − | 0.0525581i | −0.453792 | − | 0.891108i | \(-0.649929\pi\) |
0.544826 | + | 0.838549i | \(0.316596\pi\) | |||||||
\(500\) | 19.7986 | − | 10.3931i | 0.885420 | − | 0.464792i | ||||
\(501\) | 0.146771 | + | 0.0847382i | 0.00655724 | + | 0.00378583i | ||||
\(502\) | −0.202209 | + | 0.183064i | −0.00902502 | + | 0.00817052i | ||||
\(503\) | −3.87893 | − | 3.87893i | −0.172953 | − | 0.172953i | 0.615322 | − | 0.788276i | \(-0.289026\pi\) |
−0.788276 | + | 0.615322i | \(0.789026\pi\) | |||||||
\(504\) | −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 | ||||
\(507\) | 8.42080 | − | 2.25635i | 0.373981 | − | 0.100208i | ||||
\(508\) | −8.97968 | − | 10.9670i | −0.398409 | − | 0.486582i | ||||
\(509\) | 6.06913 | + | 10.5120i | 0.269009 | + | 0.465938i | 0.968606 | − | 0.248600i | \(-0.0799704\pi\) |
−0.699597 | + | 0.714538i | \(0.746637\pi\) | |||||||
\(510\) | 6.32699 | − | 2.72273i | 0.280164 | − | 0.120565i | ||||
\(511\) | −6.95918 | − | 5.36050i | −0.307856 | − | 0.237134i | ||||
\(512\) | −21.3432 | + | 7.51454i | −0.943245 | + | 0.332099i | ||||
\(513\) | 11.0070 | + | 2.94933i | 0.485973 | + | 0.130216i | ||||
\(514\) | −12.4820 | − | 24.3341i | −0.550556 | − | 1.07333i | ||||
\(515\) | 4.53812 | + | 9.25167i | 0.199973 | + | 0.407677i | ||||
\(516\) | 4.32137 | − | 6.01610i | 0.190238 | − | 0.264844i | ||||
\(517\) | −6.26175 | + | 6.26175i | −0.275391 | + | 0.275391i | ||||
\(518\) | 2.68595 | − | 5.64360i | 0.118014 | − | 0.247966i | ||||
\(519\) | 4.31133 | 0.189246 | ||||||||
\(520\) | 20.6075 | + | 32.2301i | 0.903697 | + | 1.41338i | ||||
\(521\) | −2.07706 | + | 3.59757i | −0.0909976 | + | 0.157612i | −0.907931 | − | 0.419119i | \(-0.862339\pi\) |
0.816934 | + | 0.576732i | \(0.195672\pi\) | |||||||
\(522\) | 6.39950 | − | 19.8786i | 0.280098 | − | 0.870063i | ||||
\(523\) | 5.04706 | + | 1.35236i | 0.220693 | + | 0.0591344i | 0.367471 | − | 0.930035i | \(-0.380224\pi\) |
−0.146778 | + | 0.989169i | \(0.546890\pi\) | |||||||
\(524\) | −10.0224 | + | 4.52745i | −0.437830 | + | 0.197782i | ||||
\(525\) | 3.47842 | − | 3.43635i | 0.151811 | − | 0.149975i | ||||
\(526\) | 15.5351 | − | 24.0643i | 0.677362 | − | 1.04925i | ||||
\(527\) | 8.09939 | + | 2.17022i | 0.352815 | + | 0.0945364i | ||||
\(528\) | −1.23625 | − | 0.613129i | −0.0538010 | − | 0.0266830i | ||||
\(529\) | 14.1817 | + | 8.18783i | 0.616597 | + | 0.355992i | ||||
\(530\) | −3.62779 | − | 24.9164i | −0.157581 | − | 1.08230i | ||||
\(531\) | −2.88918 | −0.125380 | ||||||||
\(532\) | −24.4986 | − | 13.1889i | −1.06215 | − | 0.571811i | ||||
\(533\) | −26.1913 | − | 26.1913i | −1.13447 | − | 1.13447i | ||||
\(534\) | −6.23366 | − | 0.309770i | −0.269757 | − | 0.0134051i | ||||
\(535\) | 12.3917 | + | 25.2625i | 0.535741 | + | 1.09219i | ||||
\(536\) | −4.49819 | − | 3.58245i | −0.194292 | − | 0.154738i | ||||
\(537\) | −0.985252 | + | 3.67701i | −0.0425168 | + | 0.158675i | ||||
\(538\) | −1.36736 | − | 6.34836i | −0.0589512 | − | 0.273697i | ||||
\(539\) | 4.60274 | + | 4.63701i | 0.198254 | + | 0.199730i | ||||
\(540\) | 1.60981 | − | 9.55741i | 0.0692751 | − | 0.411285i | ||||
\(541\) | 17.3067 | − | 9.99202i | 0.744073 | − | 0.429591i | −0.0794756 | − | 0.996837i | \(-0.525325\pi\) |
0.823548 | + | 0.567246i | \(0.191991\pi\) | |||||||
\(542\) | −9.21739 | + | 28.6318i | −0.395921 | + | 1.22984i | ||||
\(543\) | 1.54580 | − | 0.414196i | 0.0663367 | − | 0.0177749i | ||||
\(544\) | −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 | \(0.640536\pi\) | |||||||
\(548\) | 0.385005 | + | 2.34845i | 0.0164466 | + | 0.100321i | ||||
\(549\) | 4.70699 | − | 8.15275i | 0.200890 | − | 0.347951i | ||||
\(550\) | −6.58030 | + | 0.507803i | −0.280585 | + | 0.0216528i | ||||
\(551\) | 23.4835 | − | 13.5582i | 1.00043 | − | 0.577599i | ||||
\(552\) | 1.59919 | + | 2.16392i | 0.0680662 | + | 0.0921025i | ||||
\(553\) | 9.88942 | + | 4.11783i | 0.420541 | + | 0.175108i | ||||
\(554\) | −19.0220 | − | 12.2799i | −0.808168 | − | 0.521725i | ||||
\(555\) | 0.908088 | + | 1.03990i | 0.0385462 | + | 0.0441415i | ||||
\(556\) | 14.4003 | + | 1.43474i | 0.610710 | + | 0.0608464i | ||||
\(557\) | 2.39608 | + | 8.94229i | 0.101525 | + | 0.378897i | 0.997928 | − | 0.0643436i | \(-0.0204954\pi\) |
−0.896403 | + | 0.443241i | \(0.853829\pi\) | |||||||
\(558\) | 4.27145 | − | 3.86702i | 0.180825 | − | 0.163704i | ||||
\(559\) | 60.6088 | 2.56348 | ||||||||
\(560\) | −9.19194 | + | 21.8062i | −0.388430 | + | 0.921478i | ||||
\(561\) | −2.03302 | −0.0858340 | ||||||||
\(562\) | 18.8824 | − | 17.0946i | 0.796507 | − | 0.721093i | ||||
\(563\) | 7.03083 | + | 26.2394i | 0.296314 | + | 1.10586i | 0.940168 | + | 0.340711i | \(0.110668\pi\) |
−0.643854 | + | 0.765149i | \(0.722666\pi\) | |||||||
\(564\) | −6.97906 | − | 0.695339i | −0.293871 | − | 0.0292791i | ||||
\(565\) | 0.697823 | − | 10.3125i | 0.0293576 | − | 0.433849i | ||||
\(566\) | 4.45243 | + | 2.87433i | 0.187150 | + | 0.120817i | ||||
\(567\) | 2.65200 | + | 20.4367i | 0.111374 | + | 0.858261i | ||||
\(568\) | −28.5279 | + | 21.0829i | −1.19700 | + | 0.884619i | ||||
\(569\) | −3.24556 | + | 1.87383i | −0.136061 | + | 0.0785549i | −0.566485 | − | 0.824072i | \(-0.691697\pi\) |
0.430424 | + | 0.902627i | \(0.358364\pi\) | |||||||
\(570\) | 4.82415 | − | 3.80769i | 0.202061 | − | 0.159487i | ||||
\(571\) | 0.0783914 | − | 0.135778i | 0.00328058 | − | 0.00568213i | −0.864380 | − | 0.502838i | \(-0.832289\pi\) |
0.867661 | + | 0.497156i | \(0.165622\pi\) | |||||||
\(572\) | −1.82669 | − | 11.1424i | −0.0763779 | − | 0.465888i | ||||
\(573\) | 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 | ||||
\(577\) | 25.3513 | − | 6.79286i | 1.05539 | − | 0.282791i | 0.310912 | − | 0.950439i | \(-0.399366\pi\) |
0.744477 | + | 0.667648i | \(0.232699\pi\) | |||||||
\(578\) | −7.68278 | + | 23.8649i | −0.319562 | + | 0.992647i | ||||
\(579\) | −7.03796 | + | 4.06337i | −0.292488 | + | 0.168868i | ||||
\(580\) | −13.3729 | − | 18.7903i | −0.555280 | − | 0.780227i | ||||
\(581\) | 4.56471 | − | 34.1825i | 0.189376 | − | 1.41813i | ||||
\(582\) | −0.686838 | − | 3.18884i | −0.0284704 | − | 0.132182i | ||||
\(583\) | −1.92348 | + | 7.17852i | −0.0796623 | + | 0.297304i | ||||
\(584\) | −5.85040 | + | 7.34585i | −0.242091 | + | 0.303974i | ||||
\(585\) | 34.7701 | − | 17.0554i | 1.43757 | − | 0.705153i | ||||
\(586\) | 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 | \(0.907075\pi\) | |||||||
\(588\) | −0.532112 | + | 5.14720i | −0.0219439 | + | 0.212267i | ||||
\(589\) | 7.48163 | 0.308275 | ||||||||
\(590\) | −1.90760 | + | 2.55775i | −0.0785346 | + | 0.105301i | ||||
\(591\) | −0.388217 | − | 0.224137i | −0.0159691 | − | 0.00921977i | ||||
\(592\) | −5.98595 | − | 2.96878i | −0.246021 | − | 0.122016i | ||||
\(593\) | 44.5589 | + | 11.9395i | 1.82981 | + | 0.490297i | 0.997910 | − | 0.0646222i | \(-0.0205842\pi\) |
0.831904 | + | 0.554919i | \(0.187251\pi\) | |||||||
\(594\) | −1.55152 | + | 2.40335i | −0.0636597 | + | 0.0986108i | ||||
\(595\) | 2.14209 | + | 34.7978i | 0.0878172 | + | 1.42657i | ||||
\(596\) | 5.94071 | − | 2.68361i | 0.243341 | − | 0.109925i | ||||
\(597\) | 3.53570 | + | 0.947388i | 0.144707 | + | 0.0387740i | ||||
\(598\) | −6.74671 | + | 20.9571i | −0.275893 | + | 0.857001i | ||||
\(599\) | −12.3081 | + | 21.3182i | −0.502894 | + | 0.871038i | 0.497101 | + | 0.867693i | \(0.334398\pi\) |
−0.999994 | + | 0.00334470i | \(0.998935\pi\) | |||||||
\(600\) | −3.61288 | − | 3.77762i | −0.147495 | − | 0.154221i | ||||
\(601\) | 12.8434 | 0.523893 | 0.261947 | − | 0.965082i | \(-0.415636\pi\) | ||||
0.261947 | + | 0.965082i | \(0.415636\pi\) | |||||||
\(602\) | 21.2622 | + | 30.8802i | 0.866581 | + | 1.25858i | ||||
\(603\) | −4.11643 | + | 4.11643i | −0.167634 | + | 0.167634i | ||||
\(604\) | −21.0083 | + | 29.2472i | −0.854814 | + | 1.19005i | ||||
\(605\) | −21.4314 | − | 7.32555i | −0.871308 | − | 0.297826i | ||||
\(606\) | −0.360629 | − | 0.703061i | −0.0146495 | − | 0.0285599i | ||||
\(607\) | 5.93369 | + | 1.58993i | 0.240841 | + | 0.0645332i | 0.377220 | − | 0.926124i | \(-0.376880\pi\) |
−0.136379 | + | 0.990657i | \(0.543547\pi\) | |||||||
\(608\) | −14.5220 | + | 25.9582i | −0.588945 | + | 1.05274i | ||||
\(609\) | −3.99533 | − | 3.07751i | −0.161899 | − | 0.124707i | ||||
\(610\) | −4.10968 | − | 9.54993i | −0.166396 | − | 0.386665i | ||||
\(611\) | −28.6939 | − | 49.6992i | −1.16083 | − | 2.01062i | ||||
\(612\) | 21.3801 | + | 26.1118i | 0.864237 | + | 1.05551i | ||||
\(613\) | 3.30445 | − | 0.885426i | 0.133466 | − | 0.0357620i | −0.191468 | − | 0.981499i | \(-0.561325\pi\) |
0.324933 | + | 0.945737i | \(0.394658\pi\) | |||||||
\(614\) | 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 | \(0.610851\pi\) | |||||||
\(618\) | 1.78579 | − | 1.61671i | 0.0718351 | − | 0.0650337i | ||||
\(619\) | −35.1024 | − | 20.2664i | −1.41088 | − | 0.814574i | −0.415412 | − | 0.909633i | \(-0.636363\pi\) |
−0.995472 | + | 0.0950590i | \(0.969696\pi\) | |||||||
\(620\) | −0.603164 | − | 6.33467i | −0.0242237 | − | 0.254407i | ||||
\(621\) | 4.83061 | − | 2.78895i | 0.193846 | − | 0.111917i | ||||
\(622\) | −4.99540 | + | 1.07595i | −0.200297 | + | 0.0431417i | ||||
\(623\) | 12.1434 | − | 29.1637i | 0.486515 | − | 1.16842i | ||||
\(624\) | 5.91153 | − | 6.71016i | 0.236651 | − | 0.268622i | ||||
\(625\) | −24.0925 | − | 6.67453i | −0.963702 | − | 0.266981i | ||||
\(626\) | 2.18852 | − | 1.12258i | 0.0874708 | − | 0.0448673i | ||||
\(627\) | −1.75216 | + | 0.469489i | −0.0699744 | + | 0.0187496i | ||||
\(628\) | −33.9108 | + | 5.55935i | −1.35319 | + | 0.221842i | ||||
\(629\) | −9.84389 | −0.392502 | ||||||||
\(630\) | 20.8874 | + | 11.7322i | 0.832175 | + | 0.467420i | ||||
\(631\) | 40.4404i | 1.60991i | 0.593339 | + | 0.804953i | \(0.297809\pi\) | ||||
−0.593339 | + | 0.804953i | \(0.702191\pi\) | |||||||
\(632\) | 4.57286 | − | 10.4995i | 0.181899 | − | 0.417648i | ||||
\(633\) | −1.76299 | − | 6.57958i | −0.0700727 | − | 0.261515i | ||||
\(634\) | −1.79643 | + | 0.921462i | −0.0713453 | + | 0.0365959i | ||||
\(635\) | −1.06991 | + | 15.8112i | −0.0424579 | + | 0.627447i | ||||
\(636\) | −5.36411 | + | 2.42315i | −0.212701 | + | 0.0960840i | ||||
\(637\) | −36.7463 | + | 21.0342i | −1.45594 | + | 0.833404i | ||||
\(638\) | 1.43332 | + | 6.65461i | 0.0567459 | + | 0.263459i | ||||
\(639\) | 17.9557 | + | 31.1002i | 0.710316 | + | 1.23030i | ||||
\(640\) | 23.1495 | + | 10.2030i | 0.915064 | + | 0.403309i | ||||
\(641\) | −7.27169 | + | 12.5949i | −0.287214 | + | 0.497470i | −0.973144 | − | 0.230198i | \(-0.926063\pi\) |
0.685929 | + | 0.727668i | \(0.259396\pi\) | |||||||
\(642\) | 4.87626 | − | 4.41457i | 0.192450 | − | 0.174229i | ||||
\(643\) | 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 | ||||
\(647\) | −8.28233 | − | 30.9101i | −0.325612 | − | 1.21520i | −0.913695 | − | 0.406400i | \(-0.866784\pi\) |
0.588083 | − | 0.808800i | \(-0.299883\pi\) | |||||||
\(648\) | 21.8908 | − | 2.48076i | 0.859953 | − | 0.0974534i | ||||
\(649\) | 0.815598 | − | 0.470886i | 0.0320150 | − | 0.0184839i | ||||
\(650\) | 7.85830 | − | 42.0423i | 0.308228 | − | 1.64904i | ||||
\(651\) | −0.530103 | − | 1.28652i | −0.0207764 | − | 0.0504228i | ||||
\(652\) | 17.1191 | − | 45.3290i | 0.670436 | − | 1.77522i | ||||
\(653\) | −7.65587 | + | 28.5721i | −0.299597 | + | 1.11811i | 0.637900 | + | 0.770119i | \(0.279803\pi\) |
−0.937497 | + | 0.347993i | \(0.886863\pi\) | |||||||
\(654\) | −2.00148 | + | 1.02664i | −0.0782640 | + | 0.0401448i | ||||
\(655\) | 11.6347 | + | 3.97692i | 0.454606 | + | 0.155391i | ||||
\(656\) | −24.0132 | − | 4.83295i | −0.937558 | − | 0.188695i | ||||
\(657\) | 6.72243 | + | 6.72243i | 0.262267 | + | 0.262267i | ||||
\(658\) | 15.2557 | − | 32.0545i | 0.594727 | − | 1.24961i | ||||
\(659\) | − | 19.7431i | − | 0.769080i | −0.923108 | − | 0.384540i | \(-0.874360\pi\) | ||
0.923108 | − | 0.384540i | \(-0.125640\pi\) | |||||||
\(660\) | 0.538772 | + | 1.44570i | 0.0209717 | + | 0.0562736i | ||||
\(661\) | −7.75340 | − | 4.47643i | −0.301572 | − | 0.174113i | 0.341577 | − | 0.939854i | \(-0.389039\pi\) |
−0.643149 | + | 0.765741i | \(0.722372\pi\) | |||||||
\(662\) | −12.1355 | − | 3.90678i | −0.471661 | − | 0.151841i | ||||
\(663\) | 3.40993 | − | 12.7260i | 0.132431 | − | 0.494238i | ||||
\(664\) | −36.4588 | − | 5.47131i | −1.41487 | − | 0.212328i | ||||
\(665\) | 9.88209 | + | 29.4958i | 0.383211 | + | 1.14380i | ||||
\(666\) | −3.66872 | + | 5.68296i | −0.142160 | + | 0.220210i | ||||
\(667\) | 3.43536 | − | 12.8209i | 0.133018 | − | 0.496429i | ||||
\(668\) | 0.580962 | + | 0.709538i | 0.0224781 | + | 0.0274528i | ||||
\(669\) | −4.05695 | + | 7.02684i | −0.156851 | + | 0.271673i | ||||
\(670\) | 0.926313 | + | 6.36211i | 0.0357866 | + | 0.245790i | ||||
\(671\) | 3.06863i | 0.118463i | ||||||||
\(672\) | 5.49265 | + | 0.657930i | 0.211884 | + | 0.0253802i | ||||
\(673\) | 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 | ||||
\(675\) | −8.62462 | + | 6.56013i | −0.331962 | + | 0.252499i | ||||
\(676\) | 46.9400 | + | 4.67674i | 1.80539 | + | 0.179875i | ||||
\(677\) | 20.1844 | + | 5.40838i | 0.775748 | + | 0.207861i | 0.624909 | − | 0.780697i | \(-0.285136\pi\) |
0.150839 | + | 0.988558i | \(0.451803\pi\) | |||||||
\(678\) | −2.36205 | + | 0.508758i | −0.0907140 | + | 0.0195387i | ||||
\(679\) | 16.3653 | + | 2.18541i | 0.628043 | + | 0.0838684i | ||||
\(680\) | 37.2326 | − | 1.68697i | 1.42781 | − | 0.0646922i | ||||
\(681\) | −3.89823 | − | 6.75194i | −0.149381 | − | 0.258735i | ||||
\(682\) | −0.575547 | + | 1.78781i | −0.0220388 | + | 0.0684587i | ||||
\(683\) | 11.5349 | + | 43.0488i | 0.441370 | + | 1.64722i | 0.725347 | + | 0.688384i | \(0.241680\pi\) |
−0.283977 | + | 0.958831i | \(0.591654\pi\) | |||||||
\(684\) | 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 | ||||
\(688\) | 33.3762 | − | 22.1924i | 1.27246 | − | 0.846076i | ||||
\(689\) | −41.7090 | − | 24.0807i | −1.58899 | − | 0.917403i | ||||
\(690\) | 0.351819 | − | 2.98767i | 0.0133935 | − | 0.113739i | ||||
\(691\) | −0.909913 | − | 1.57602i | −0.0346147 | − | 0.0599544i | 0.848199 | − | 0.529678i | \(-0.177687\pi\) |
−0.882814 | + | 0.469723i | \(0.844354\pi\) | |||||||
\(692\) | 21.8241 | + | 8.24218i | 0.829629 | + | 0.313321i | ||||
\(693\) | −4.29412 | − | 5.61775i | −0.163120 | − | 0.213401i | ||||
\(694\) | −12.8607 | + | 19.9216i | −0.488186 | + | 0.756215i | ||||
\(695\) | −10.6423 | − | 12.1871i | −0.403686 | − | 0.462284i | ||||
\(696\) | −3.35877 | + | 4.21732i | −0.127314 | + | 0.159857i | ||||
\(697\) | −34.8574 | + | 9.34002i | −1.32032 | + | 0.353779i | ||||
\(698\) | 2.82510 | − | 2.55762i | 0.106932 | − | 0.0968072i | ||||
\(699\) | 5.81483i | 0.219937i | ||||||||
\(700\) | 24.1773 | − | 10.7451i | 0.913817 | − | 0.406125i | ||||
\(701\) | 5.61667i | 0.212139i | 0.994359 | + | 0.106069i | \(0.0338266\pi\) | ||||
−0.994359 | + | 0.106069i | \(0.966173\pi\) | |||||||
\(702\) | −12.4419 | − | 13.7431i | −0.469589 | − | 0.518701i | ||||
\(703\) | −8.48396 | + | 2.27327i | −0.319979 | + | 0.0857380i | ||||
\(704\) | −5.08581 | − | 5.46709i | −0.191679 | − | 0.206049i | ||||
\(705\) | 5.15775 | + | 5.90644i | 0.194252 | + | 0.222449i | ||||
\(706\) | −10.7164 | − | 6.91816i | −0.403319 | − | 0.260368i | ||||
\(707\) | 3.96616 | − | 0.514675i | 0.149163 | − | 0.0193563i | ||||
\(708\) | 0.697788 | + | 0.263529i | 0.0262245 | + | 0.00990404i | ||||
\(709\) | −23.2036 | − | 40.1899i | −0.871431 | − | 1.50936i | −0.860517 | − | 0.509422i | \(-0.829859\pi\) |
−0.0109136 | − | 0.999940i | \(-0.503474\pi\) | |||||||
\(710\) | 39.3878 | + | 4.63819i | 1.47820 | + | 0.174068i | ||||
\(711\) | −10.0404 | − | 5.79683i | −0.376544 | − | 0.217398i | ||||
\(712\) | −30.9629 | − | 13.4853i | −1.16038 | − | 0.505382i | ||||
\(713\) | 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 | ||||
\(717\) | 1.31747 | + | 4.91688i | 0.0492019 | + | 0.183624i | ||||
\(718\) | 20.7270 | + | 6.67261i | 0.773524 | + | 0.249020i | ||||
\(719\) | −4.65550 | − | 8.06357i | −0.173621 | − | 0.300720i | 0.766062 | − | 0.642766i | \(-0.222213\pi\) |
−0.939683 | + | 0.342046i | \(0.888880\pi\) | |||||||
\(720\) | 12.9023 | − | 22.1234i | 0.480842 | − | 0.824492i | ||||
\(721\) | 4.64507 | + | 11.2733i | 0.172991 | + | 0.419838i | ||||
\(722\) | 2.57499 | + | 11.9551i | 0.0958312 | + | 0.444923i | ||||
\(723\) | 0.326067 | + | 0.0873694i | 0.0121266 | + | 0.00324930i | ||||
\(724\) | 8.61675 | + | 0.858506i | 0.320239 | + | 0.0319061i | ||||
\(725\) | −3.47378 | + | 25.5504i | −0.129013 | + | 0.948918i | ||||
\(726\) | −0.262776 | + | 5.28799i | −0.00975255 | + | 0.196256i | ||||
\(727\) | −25.4562 | + | 25.4562i | −0.944119 | + | 0.944119i | −0.998519 | − | 0.0543998i | \(-0.982675\pi\) |
0.0543998 | + | 0.998519i | \(0.482675\pi\) | |||||||
\(728\) | 21.8470 | + | 39.6426i | 0.809705 | + | 1.46925i | ||||
\(729\) | − | 19.9001i | − | 0.737042i | ||||||
\(730\) | 10.3898 | − | 1.51273i | 0.384543 | − | 0.0559888i | ||||
\(731\) | 29.5247 | − | 51.1383i | 1.09201 | − | 1.89142i | ||||
\(732\) | −1.88046 | + | 1.53970i | −0.0695036 | + | 0.0569089i | ||||
\(733\) | −5.71047 | + | 21.3118i | −0.210921 | + | 0.787168i | 0.776642 | + | 0.629943i | \(0.216922\pi\) |
−0.987563 | + | 0.157225i | \(0.949745\pi\) | |||||||
\(734\) | −7.81892 | − | 5.04762i | −0.288602 | − | 0.186311i | ||||
\(735\) | 4.37185 | − | 3.78920i | 0.161258 | − | 0.139767i | ||||
\(736\) | 3.95832 | + | 14.0111i | 0.145906 | + | 0.516456i | ||||
\(737\) | 0.491138 | − | 1.83295i | 0.0180913 | − | 0.0675176i | ||||
\(738\) | −7.59895 | + | 23.6044i | −0.279721 | + | 0.868891i | ||||
\(739\) | −18.0851 | − | 10.4414i | −0.665270 | − | 0.384094i | 0.129012 | − | 0.991643i | \(-0.458819\pi\) |
−0.794282 | + | 0.607549i | \(0.792153\pi\) | |||||||
\(740\) | 2.60874 | + | 7.00007i | 0.0958993 | + | 0.257328i | ||||
\(741\) | − | 11.7554i | − | 0.431845i | ||||||
\(742\) | −2.36283 | − | 29.6985i | −0.0867421 | − | 1.09027i | ||||
\(743\) | 19.7220 | + | 19.7220i | 0.723531 | + | 0.723531i | 0.969323 | − | 0.245792i | \(-0.0790480\pi\) |
−0.245792 | + | 0.969323i | \(0.579048\pi\) | |||||||
\(744\) | −1.38435 | + | 0.544346i | −0.0507528 | + | 0.0199567i | ||||
\(745\) | −6.89640 | − | 2.35729i | −0.252665 | − | 0.0863645i | ||||
\(746\) | 1.22464 | + | 2.38748i | 0.0448371 | + | 0.0874119i | ||||
\(747\) | −9.65982 | + | 36.0509i | −0.353434 | + | 1.31903i | ||||
\(748\) | −10.2912 | − | 3.88662i | −0.376284 | − | 0.142109i | ||||
\(749\) | 12.6837 | + | 30.7826i | 0.463454 | + | 1.12477i | ||||
\(750\) | 0.0552422 | + | 5.84389i | 0.00201716 | + | 0.213389i | ||||
\(751\) | −11.7027 | + | 6.75653i | −0.427036 | + | 0.246549i | −0.698083 | − | 0.716017i | \(-0.745963\pi\) |
0.271047 | + | 0.962566i | \(0.412630\pi\) | |||||||
\(752\) | −33.9990 | − | 16.8620i | −1.23981 | − | 0.614896i | ||||
\(753\) | −0.0184511 | − | 0.0688603i | −0.000672394 | − | 0.00250941i | ||||
\(754\) | −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 | −0.316225 | − | 0.948684i | \(-0.602415\pi\) |
0.948684 | + | 0.316225i | \(0.102415\pi\) | |||||||
\(758\) | 7.76938 | + | 8.58193i | 0.282197 | + | 0.311710i | ||||
\(759\) | −0.443960 | + | 0.768961i | −0.0161147 | + | 0.0279115i | ||||
\(760\) | 31.6994 | − | 10.0521i | 1.14986 | − | 0.364629i | ||||
\(761\) | −8.67408 | − | 15.0240i | −0.314435 | − | 0.544618i | 0.664882 | − | 0.746948i | \(-0.268482\pi\) |
−0.979317 | + | 0.202330i | \(0.935148\pi\) | |||||||
\(762\) | 3.62151 | − | 0.780031i | 0.131194 | − | 0.0282575i | ||||
\(763\) | −1.46518 | − | 11.2909i | −0.0530430 | − | 0.408757i | ||||
\(764\) | 18.0174 | + | 39.8851i | 0.651847 | + | 1.44299i | ||||
\(765\) | 2.54738 | − | 37.6454i | 0.0921007 | − | 1.36107i | ||||
\(766\) | −23.2701 | − | 45.3660i | −0.840781 | − | 1.63914i | ||||
\(767\) | 1.57961 | + | 5.89519i | 0.0570364 | + | 0.212863i | ||||
\(768\) | 0.798402 | − | 5.85972i | 0.0288099 | − | 0.211445i | ||||
\(769\) | − | 33.6019i | − | 1.21171i | −0.795573 | − | 0.605857i | \(-0.792830\pi\) | ||
0.795573 | − | 0.605857i | \(-0.207170\pi\) | |||||||
\(770\) | −7.80852 | + | 0.0923667i | −0.281400 | + | 0.00332867i | ||||
\(771\) | 7.14781 | 0.257422 | ||||||||
\(772\) | −43.3946 | + | 7.11413i | −1.56181 | + | 0.256043i | ||||
\(773\) | 20.2928 | − | 5.43743i | 0.729880 | − | 0.195571i | 0.125304 | − | 0.992118i | \(-0.460009\pi\) |
0.604576 | + | 0.796548i | \(0.293343\pi\) | |||||||
\(774\) | −18.5190 | − | 36.1036i | −0.665653 | − | 1.29772i | ||||
\(775\) | −4.35482 | + | 5.62587i | −0.156430 | + | 0.202087i | ||||
\(776\) | 2.61946 | − | 17.4551i | 0.0940330 | − | 0.626601i | ||||
\(777\) | 0.992028 | + | 1.29781i | 0.0355888 | + | 0.0465587i | ||||
\(778\) | 2.97285 | + | 13.8023i | 0.106582 | + | 0.494837i | ||||
\(779\) | −27.8850 | + | 16.0994i | −0.999083 | + | 0.576821i | ||||
\(780\) | −9.95326 | + | 0.947713i | −0.356384 | + | 0.0339336i | ||||
\(781\) | −10.1376 | − | 5.85292i | −0.362750 | − | 0.209434i | ||||
\(782\) | 14.3959 | + | 15.9015i | 0.514797 | + | 0.568636i | ||||
\(783\) | 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 | ||||
\(787\) | −14.9562 | + | 4.00750i | −0.533130 | + | 0.142852i | −0.515333 | − | 0.856990i | \(-0.672332\pi\) |
−0.0177970 | + | 0.999842i | \(0.505665\pi\) | |||||||
\(788\) | −1.53668 | − | 1.87676i | −0.0547418 | − | 0.0668570i | ||||
\(789\) | 3.74306 | + | 6.48318i | 0.133257 | + | 0.230807i | ||||
\(790\) | −11.7611 | + | 5.06121i | −0.418440 | + | 0.180070i | ||||
\(791\) | 1.61879 | − | 12.1222i | 0.0575575 | − | 0.431015i | ||||
\(792\) | −6.07921 | + | 4.49270i | −0.216015 | + | 0.159641i | ||||
\(793\) | −19.2086 | − | 5.14694i | −0.682119 | − | 0.182773i | ||||
\(794\) | 30.9345 | − | 15.8675i | 1.09782 | − | 0.563118i | ||||
\(795\) | 6.22705 | + | 2.12850i | 0.220851 | + | 0.0754900i | ||||
\(796\) | 16.0867 | + | 11.5551i | 0.570178 | + | 0.409559i | ||||
\(797\) | −2.17089 | + | 2.17089i | −0.0768969 | + | 0.0768969i | −0.744509 | − | 0.667612i | \(-0.767316\pi\) |
0.667612 | + | 0.744509i | \(0.267316\pi\) | |||||||
\(798\) | 5.98937 | − | 4.12391i | 0.212022 | − | 0.145985i | ||||
\(799\) | −55.9113 | −1.97800 | ||||||||
\(800\) | −11.0667 | − | 26.0294i | −0.391266 | − | 0.920277i | ||||
\(801\) | −17.0947 | + | 29.6089i | −0.604012 | + | 1.04618i | ||||
\(802\) | 0.906725 | + | 0.291901i | 0.0320176 | + | 0.0103074i | ||||
\(803\) | −2.99334 | − | 0.802062i | −0.105633 | − | 0.0283042i | ||||
\(804\) | 1.36966 | − | 0.618722i | 0.0483043 | − | 0.0218206i | ||||
\(805\) | 13.6296 | + | 6.78875i | 0.480379 | + | 0.239272i | ||||
\(806\) | −10.2258 | − | 6.60139i | −0.360187 | − | 0.232524i | ||||
\(807\) | 1.63942 | + | 0.439280i | 0.0577102 | + | 0.0154634i | ||||
\(808\) | −0.481441 | − | 4.24836i | −0.0169370 | − | 0.149457i | ||||
\(809\) | 18.0260 | + | 10.4073i | 0.633762 | + | 0.365902i | 0.782207 | − | 0.623018i | \(-0.214094\pi\) |
−0.148446 | + | 0.988921i | \(0.547427\pi\) | |||||||
\(810\) | −19.7447 | − | 14.7258i | −0.693758 | − | 0.517413i | ||||
\(811\) | −55.0469 | −1.93296 | −0.966480 | − | 0.256743i | \(-0.917351\pi\) | ||||
−0.966480 | + | 0.256743i | \(0.917351\pi\) | |||||||
\(812\) | −14.3411 | − | 23.2166i | −0.503274 | − | 0.814742i | ||||
\(813\) | −5.55882 | − | 5.55882i | −0.194956 | − | 0.194956i | ||||
\(814\) | 0.109434 | − | 2.20220i | 0.00383567 | − | 0.0771872i | ||||
\(815\) | −48.6370 | + | 23.8573i | −1.70368 | + | 0.835686i | ||||
\(816\) | −2.78194 | − | 8.25659i | −0.0973875 | − | 0.289038i | ||||
\(817\) | 13.6364 | − | 50.8918i | 0.477078 | − | 1.78048i | ||||
\(818\) | −27.1338 | + | 5.84430i | −0.948712 | + | 0.204341i | ||||
\(819\) | 42.3677 | − | 17.4573i | 1.48045 | − | 0.610008i | ||||
\(820\) | 15.8794 | + | 22.3122i | 0.554532 | + | 0.779176i | ||||
\(821\) | −29.5682 | + | 17.0712i | −1.03194 | + | 0.595790i | −0.917539 | − | 0.397645i | \(-0.869827\pi\) |
−0.114399 | + | 0.993435i | \(0.536494\pi\) | |||||||
\(822\) | −0.592056 | − | 0.190600i | −0.0206503 | − | 0.00664794i | ||||
\(823\) | −30.6186 | + | 8.20422i | −1.06730 | + | 0.285981i | −0.749382 | − | 0.662138i | \(-0.769649\pi\) |
−0.317914 | + | 0.948119i | \(0.602982\pi\) | |||||||
\(824\) | 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 | \(0.639131\pi\) | |||||||
\(828\) | 14.5453 | − | 2.38456i | 0.505483 | − | 0.0828691i | ||||
\(829\) | −18.0996 | + | 31.3494i | −0.628625 | + | 1.08881i | 0.359203 | + | 0.933260i | \(0.383049\pi\) |
−0.987828 | + | 0.155551i | \(0.950285\pi\) | |||||||
\(830\) | 25.5374 | + | 32.3545i | 0.886415 | + | 1.12304i | ||||
\(831\) | 5.12473 | − | 2.95876i | 0.177775 | − | 0.102638i | ||||
\(832\) | 42.7526 | − | 22.6658i | 1.48218 | − | 0.785794i | ||||
\(833\) | −0.152977 | + | 41.2510i | −0.00530036 | + | 1.42926i | ||||
\(834\) | −2.05138 | + | 3.17765i | −0.0710335 | + | 0.110033i | ||||
\(835\) | 0.0692202 | − | 1.02294i | 0.00239546 | − | 0.0354004i | ||||
\(836\) | −9.76703 | − | 0.973111i | −0.337800 | − | 0.0336557i | ||||
\(837\) | 0.798114 | + | 2.97860i | 0.0275869 | + | 0.102956i | ||||
\(838\) | −17.1603 | − | 18.9550i | −0.592793 | − | 0.654789i | ||||
\(839\) | −36.3979 | −1.25660 | −0.628298 | − | 0.777973i | \(-0.716248\pi\) | ||||
−0.628298 | + | 0.777973i | \(0.716248\pi\) | |||||||
\(840\) | −3.97456 | − | 4.73872i | −0.137135 | − | 0.163501i | ||||
\(841\) | −2.40441 | −0.0829108 | ||||||||
\(842\) | −15.6677 | − | 17.3063i | −0.539944 | − | 0.596413i | ||||
\(843\) | 1.72297 | + | 6.43022i | 0.0593424 | + | 0.221469i | ||||
\(844\) | 3.65416 | − | 36.6765i | 0.125781 | − | 1.26246i | ||||
\(845\) | −34.6902 | − | 39.7258i | −1.19338 | − | 1.36661i | ||||
\(846\) | −20.8376 | + | 32.2781i | −0.716411 | + | 1.10974i | ||||
\(847\) | −24.7394 | − | 10.3012i | −0.850056 | − | 0.353953i | ||||
\(848\) | −31.7858 | + | 2.01124i | −1.09153 | + | 0.0690661i | ||||
\(849\) | −1.19953 | + | 0.692550i | −0.0411678 | + | 0.0237682i | ||||
\(850\) | −31.6449 | − | 27.1107i | −1.08541 | − | 0.929891i | ||||
\(851\) | −2.14966 | + | 3.72332i | −0.0736893 | + | 0.127634i | ||||
\(852\) | −1.49989 | − | 9.14902i | −0.0513855 | − | 0.313440i | ||||
\(853\) | 26.4581 | + | 26.4581i | 0.905908 | + | 0.905908i | 0.995939 | − | 0.0900314i | \(-0.0286967\pi\) |
−0.0900314 | + | 0.995939i | \(0.528697\pi\) | |||||||
\(854\) | −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 | ||||
\(857\) | −5.08927 | + | 1.36367i | −0.173846 | + | 0.0465820i | −0.344692 | − | 0.938716i | \(-0.612017\pi\) |
0.170846 | + | 0.985298i | \(0.445350\pi\) | |||||||
\(858\) | 2.80907 | + | 0.904320i | 0.0959000 | + | 0.0308730i | ||||
\(859\) | 44.5451 | − | 25.7181i | 1.51986 | − | 0.877492i | 0.520134 | − | 0.854085i | \(-0.325882\pi\) |
0.999726 | − | 0.0234068i | \(-0.00745130\pi\) | |||||||
\(860\) | −44.1893 | − | 7.44305i | −1.50684 | − | 0.253806i | ||||
\(861\) | 4.74417 | + | 3.65433i | 0.161681 | + | 0.124539i | ||||
\(862\) | 22.9810 | − | 4.94984i | 0.782737 | − | 0.168592i | ||||
\(863\) | 5.82157 | − | 21.7264i | 0.198169 | − | 0.739575i | −0.793255 | − | 0.608889i | \(-0.791615\pi\) |
0.991424 | − | 0.130686i | \(-0.0417180\pi\) | |||||||
\(864\) | −11.8837 | − | 3.01240i | −0.404291 | − | 0.102484i | ||||
\(865\) | −11.4864 | − | 23.4168i | −0.390548 | − | 0.796194i | ||||
\(866\) | −1.80892 | + | 36.4019i | −0.0614696 | + | 1.23699i | ||||
\(867\) | −4.63333 | − | 4.63333i | −0.157356 | − | 0.157356i | ||||
\(868\) | −0.223892 | − | 7.52586i | −0.00759940 | − | 0.255444i | ||||
\(869\) | 3.77912 | 0.128198 | ||||||||
\(870\) | 5.96487 | − | 0.868475i | 0.202228 | − | 0.0294441i | ||||
\(871\) | 10.6499 | + | 6.14873i | 0.360859 | + | 0.208342i | ||||
\(872\) | −12.0943 | + | 1.37057i | −0.409563 | + | 0.0464133i | ||||
\(873\) | −17.2598 | − | 4.62476i | −0.584157 | − | 0.156524i | ||||
\(874\) | 16.0793 | + | 10.3802i | 0.543890 | + | 0.351116i | ||||
\(875\) | −27.9317 | − | 9.73765i | −0.944263 | − | 0.329193i | ||||
\(876\) | −1.01042 | − | 2.23676i | −0.0341388 | − | 0.0755730i | ||||
\(877\) | 25.1919 | + | 6.75014i | 0.850668 | + | 0.227936i | 0.657710 | − | 0.753271i | \(-0.271525\pi\) |
0.192958 | + | 0.981207i | \(0.438192\pi\) | |||||||
\(878\) | −0.600750 | − | 0.193399i | −0.0202743 | − | 0.00652689i | ||||
\(879\) | −1.57680 | + | 2.73111i | −0.0531843 | + | 0.0921179i | ||||
\(880\) | −0.0365186 | + | 8.34817i | −0.00123104 | + | 0.281417i | ||||
\(881\) | 42.2555 | 1.42362 | 0.711812 | − | 0.702370i | \(-0.247875\pi\) | ||||
0.711812 | + | 0.702370i | \(0.247875\pi\) | |||||||
\(882\) | 23.7575 | + | 15.4622i | 0.799958 | + | 0.520638i | ||||
\(883\) | −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 | ||||
\(885\) | −0.367257 | − | 0.748711i | −0.0123452 | − | 0.0251676i | ||||
\(886\) | 48.6413 | − | 24.9501i | 1.63414 | − | 0.838215i | ||||
\(887\) | 5.08138 | + | 1.36155i | 0.170616 | + | 0.0457164i | 0.343116 | − | 0.939293i | \(-0.388518\pi\) |
−0.172500 | + | 0.985010i | \(0.555184\pi\) | |||||||
\(888\) | 1.40442 | − | 1.03790i | 0.0471292 | − | 0.0348298i | ||||
\(889\) | −2.48194 | + | 18.5858i | −0.0832415 | + | 0.623348i | ||||
\(890\) | 14.9254 | + | 34.6832i | 0.500301 | + | 1.16258i | ||||
\(891\) | 3.63503 | + | 6.29606i | 0.121778 | + | 0.210926i | ||||
\(892\) | −33.9700 | + | 27.8143i | −1.13740 | + | 0.931292i | ||||
\(893\) | −48.1871 | + | 12.9117i | −1.61252 | + | 0.432074i | ||||
\(894\) | −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 | ||||
\(898\) | 30.0876 | + | 33.2343i | 1.00404 | + | 1.10904i | ||||
\(899\) | 6.35484 | + | 3.66897i | 0.211946 | + | 0.122367i | ||||
\(900\) | −27.4450 | + | 8.16499i | −0.914834 | + | 0.272166i | ||||
\(901\) | −40.6360 | + | 23.4612i | −1.35378 | + | 0.781606i | ||||
\(902\) | −1.70197 | − | 7.90188i | −0.0566695 | − | 0.263104i | ||||
\(903\) | −9.71742 | + | 1.26100i | −0.323376 | + | 0.0419633i | ||||
\(904\) | −12.9294 | − | 1.94030i | −0.430026 | − | 0.0645333i | ||||
\(905\) | −6.36806 | − | 7.29244i | −0.211681 | − | 0.242409i | ||||
\(906\) | −4.29547 | − | 8.37420i | −0.142707 | − | 0.278214i | ||||
\(907\) | −40.0638 | + | 10.7351i | −1.33030 | + | 0.356452i | −0.852825 | − | 0.522196i | \(-0.825113\pi\) |
−0.477470 | + | 0.878648i | \(0.658446\pi\) | |||||||
\(908\) | −6.82501 | − | 41.6310i | −0.226496 | − | 1.38157i | ||||
\(909\) | −4.32839 | −0.143564 | ||||||||
\(910\) | 12.5189 | − | 49.0338i | 0.414996 | − | 1.62545i | ||||
\(911\) | − | 56.2856i | − | 1.86483i | −0.361394 | − | 0.932413i | \(-0.617699\pi\) | ||
0.361394 | − | 0.932413i | \(-0.382301\pi\) | |||||||
\(912\) | −4.30433 | − | 6.47350i | −0.142531 | − | 0.214359i | ||||
\(913\) | −3.14876 | − | 11.7513i | −0.104209 | − | 0.388912i | ||||
\(914\) | −18.1483 | − | 35.3808i | −0.600291 | − | 1.17029i | ||||
\(915\) | 2.71106 | + | 0.183451i | 0.0896248 | + | 0.00606471i | ||||
\(916\) | 20.5155 | − | 9.26752i | 0.677851 | − | 0.306208i | ||||
\(917\) | 13.4306 | + | 5.59234i | 0.443518 | + | 0.184675i | ||||
\(918\) | −17.6566 | + | 3.80302i | −0.582754 | + | 0.125518i | ||||
\(919\) | −10.6286 | − | 18.4093i | −0.350606 | − | 0.607267i | 0.635750 | − | 0.771895i | \(-0.280691\pi\) |
−0.986356 | + | 0.164628i | \(0.947358\pi\) | |||||||
\(920\) | 7.49260 | − | 14.4511i | 0.247024 | − | 0.476439i | ||||
\(921\) | −3.89345 | + | 6.74365i | −0.128294 | + | 0.222211i | ||||
\(922\) | 2.88429 | + | 3.18594i | 0.0949891 | + | 0.104923i | ||||
\(923\) | 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 | ||||
\(927\) | −3.41530 | − | 12.7461i | −0.112173 | − | 0.418635i | ||||
\(928\) | −25.0647 | + | 14.9271i | −0.822789 | + | 0.490007i | ||||
\(929\) | −44.9633 | + | 25.9596i | −1.47520 | + | 0.851706i | −0.999609 | − | 0.0279615i | \(-0.991098\pi\) |
−0.475589 | + | 0.879668i | \(0.657765\pi\) | |||||||
\(930\) | 1.54508 | + | 0.615362i | 0.0506650 | + | 0.0201785i | ||||
\(931\) | 9.39433 | + | 35.5875i | 0.307887 | + | 1.16633i | ||||
\(932\) | −11.1165 | + | 29.4349i | −0.364133 | + | 0.964172i | ||||
\(933\) | 0.345661 | − | 1.29002i | 0.0113164 | − | 0.0422335i | ||||
\(934\) | 7.11819 | + | 13.8772i | 0.232914 | + | 0.454076i | ||||
\(935\) | 5.41643 | + | 11.0422i | 0.177136 | + | 0.361120i | ||||
\(936\) | −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 | \(0.892061\pi\) | |||||||
\(938\) | 0.603320 | + | 7.58317i | 0.0196991 | + | 0.247599i | ||||
\(939\) | 0.642846i | 0.0209785i | ||||||||
\(940\) | 14.8171 | + | 39.7590i | 0.483281 | + | 1.29679i | ||||
\(941\) | 47.6790 | + | 27.5275i | 1.55429 | + | 0.897370i | 0.997785 | + | 0.0665261i | \(0.0211916\pi\) |
0.556506 | + | 0.830844i | \(0.312142\pi\) | |||||||
\(942\) | 2.75220 | − | 8.54910i | 0.0896716 | − | 0.278545i | ||||
\(943\) | −4.07925 | + | 15.2240i | −0.132839 | + | 0.495761i | ||||
\(944\) | 3.02843 | + | 2.66799i | 0.0985671 | + | 0.0868358i | ||||
\(945\) | −10.6888 | + | 7.08079i | −0.347705 | + | 0.230338i | ||||
\(946\) | 11.1121 | + | 7.17356i | 0.361284 | + | 0.233232i | ||||
\(947\) | 0.931210 | − | 3.47532i | 0.0302603 | − | 0.112933i | −0.949144 | − | 0.314843i | \(-0.898048\pi\) |
0.979404 | + | 0.201910i | \(0.0647149\pi\) | |||||||
\(948\) | 1.89619 | + | 2.31585i | 0.0615855 | + | 0.0752152i | ||||
\(949\) | 10.0413 | − | 17.3921i | 0.325955 | − | 0.564570i | ||||
\(950\) | −33.5339 | − | 16.0576i | −1.08798 | − | 0.520976i | ||||
\(951\) | − | 0.527676i | − | 0.0171111i | ||||||
\(952\) | 44.0907 | + | 0.878018i | 1.42899 | + | 0.0284567i | ||||
\(953\) | −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 | ||||
\(955\) | 15.8265 | − | 46.3015i | 0.512134 | − | 1.49828i | ||||
\(956\) | −2.73073 | + | 27.4081i | −0.0883181 | + | 0.886442i | ||||
\(957\) | −1.71850 | − | 0.460472i | −0.0555513 | − | 0.0148849i | ||||
\(958\) | 2.86622 | + | 13.3072i | 0.0926035 | + | 0.429938i | ||||
\(959\) | 1.92112 | − | 2.49406i | 0.0620360 | − | 0.0805373i | ||||
\(960\) | −5.13408 | + | 4.16635i | −0.165702 | + | 0.134468i | ||||
\(961\) | −14.4877 | − | 25.0934i | −0.467345 | − | 0.809466i | ||||
\(962\) | 13.6015 | + | 4.37873i | 0.438531 | + | 0.141176i | ||||
\(963\) | −9.32575 | − | 34.8042i | −0.300518 | − | 1.12155i | ||||
\(964\) | 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 | −0.773866 | − | 0.633350i | \(-0.781679\pi\) |
0.633350 | + | 0.773866i | \(0.281679\pi\) | |||||||
\(968\) | −11.4395 | + | 26.2657i | −0.367679 | + | 0.844210i | ||||
\(969\) | −9.91856 | − | 5.72648i | −0.318630 | − | 0.183961i | ||||
\(970\) | −15.4901 | + | 12.2263i | −0.497358 | + | 0.392564i | ||||
\(971\) | 9.24578 | + | 16.0142i | 0.296711 | + | 0.513919i | 0.975382 | − | 0.220524i | \(-0.0707768\pi\) |
−0.678670 | + | 0.734443i | \(0.737443\pi\) | |||||||
\(972\) | −6.62847 | + | 17.5512i | −0.212608 | + | 0.562956i | ||||
\(973\) | −11.6260 | − | 15.2097i | −0.372714 | − | 0.487600i | ||||
\(974\) | 39.1567 | + | 25.2782i | 1.25466 | + | 0.809965i | ||||
\(975\) | 8.83957 | + | 6.84244i | 0.283093 | + | 0.219133i | ||||
\(976\) | −12.4625 | + | 4.19906i | −0.398914 | + | 0.134409i | ||||
\(977\) | −5.86472 | + | 1.57145i | −0.187629 | + | 0.0502750i | −0.351410 | − | 0.936222i | \(-0.614298\pi\) |
0.163781 | + | 0.986497i | \(0.447631\pi\) | |||||||
\(978\) | 8.49921 | + | 9.38809i | 0.271775 | + | 0.300198i | ||||
\(979\) | − | 11.1446i | − | 0.356182i | ||||||
\(980\) | 29.3745 | − | 10.8232i | 0.938333 | − | 0.345734i | ||||
\(981\) | 12.3221i | 0.393414i | ||||||||
\(982\) | 30.4905 | − | 27.6037i | 0.972992 | − | 0.880868i | ||||
\(983\) | 28.6738 | − | 7.68312i | 0.914552 | − | 0.245054i | 0.229297 | − | 0.973357i | \(-0.426357\pi\) |
0.685255 | + | 0.728303i | \(0.259691\pi\) | |||||||
\(984\) | 3.98830 | − | 5.00777i | 0.127142 | − | 0.159642i | ||||
\(985\) | −0.183091 | + | 2.70573i | −0.00583377 | + | 0.0862119i | ||||
\(986\) | −23.3105 | + | 36.1087i | −0.742358 | + | 1.14994i | ||||
\(987\) | 5.63451 | + | 7.37130i | 0.179349 | + | 0.234631i | ||||
\(988\) | 22.4734 | − | 59.5063i | 0.714973 | − | 1.89315i | ||||
\(989\) | −12.8949 | − | 22.3346i | −0.410034 | − | 0.710200i | ||||
\(990\) | 8.39343 | + | 0.988384i | 0.266761 | + | 0.0314129i | ||||
\(991\) | 44.4018 | + | 25.6354i | 1.41047 | + | 0.814336i | 0.995432 | − | 0.0954681i | \(-0.0304348\pi\) |
0.415038 | + | 0.909804i | \(0.363768\pi\) | |||||||
\(992\) | −8.04830 | + | 0.108966i | −0.255534 | + | 0.00345967i | ||||
\(993\) | 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 | ||||
\(997\) | 1.08071 | + | 4.03325i | 0.0342263 | + | 0.127734i | 0.980925 | − | 0.194385i | \(-0.0622713\pi\) |
−0.946699 | + | 0.322120i | \(0.895605\pi\) | |||||||
\(998\) | −1.01761 | + | 3.16098i | −0.0322119 | + | 0.100059i | ||||
\(999\) | −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.67.11 | ✓ | 176 | |
5.3 | odd | 4 | inner | 280.2.br.a.123.34 | yes | 176 | |
7.2 | even | 3 | inner | 280.2.br.a.107.40 | yes | 176 | |
8.3 | odd | 2 | inner | 280.2.br.a.67.26 | yes | 176 | |
35.23 | odd | 12 | inner | 280.2.br.a.163.26 | yes | 176 | |
40.3 | even | 4 | inner | 280.2.br.a.123.40 | yes | 176 | |
56.51 | odd | 6 | inner | 280.2.br.a.107.34 | yes | 176 | |
280.163 | even | 12 | inner | 280.2.br.a.163.11 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
280.2.br.a.67.11 | ✓ | 176 | 1.1 | even | 1 | trivial | |
280.2.br.a.67.26 | yes | 176 | 8.3 | odd | 2 | inner | |
280.2.br.a.107.34 | yes | 176 | 56.51 | odd | 6 | inner | |
280.2.br.a.107.40 | yes | 176 | 7.2 | even | 3 | inner | |
280.2.br.a.123.34 | yes | 176 | 5.3 | odd | 4 | inner | |
280.2.br.a.123.40 | yes | 176 | 40.3 | even | 4 | inner | |
280.2.br.a.163.11 | yes | 176 | 280.163 | even | 12 | inner | |
280.2.br.a.163.26 | yes | 176 | 35.23 | odd | 12 | inner |