Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [144,2,Mod(11,144)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(144, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 3, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("144.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 144 = 2^{4} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 144.u (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: | \(1.14984578911\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(22\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 83.17 | ||
Character | \(\chi\) | \(=\) | 144.83 |
Dual form | 144.2.u.a.59.17 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.00831 | − | 0.991617i | 0.712985 | − | 0.701179i | ||||
\(3\) | −1.49488 | + | 0.874828i | −0.863071 | + | 0.505082i | ||||
\(4\) | 0.0333930 | − | 1.99972i | 0.0166965 | − | 0.999861i | ||||
\(5\) | 0.473330 | − | 1.76649i | 0.211679 | − | 0.789999i | −0.775630 | − | 0.631188i | \(-0.782568\pi\) |
0.987309 | − | 0.158810i | \(-0.0507658\pi\) | |||||||
\(6\) | −0.639818 | + | 2.36445i | −0.261205 | + | 0.965283i | ||||
\(7\) | 1.40613 | − | 2.43549i | 0.531468 | − | 0.920530i | −0.467857 | − | 0.883804i | \(-0.654974\pi\) |
0.999325 | − | 0.0367260i | \(-0.0116929\pi\) | |||||||
\(8\) | −1.94929 | − | 2.04946i | −0.689177 | − | 0.724593i | ||||
\(9\) | 1.46935 | − | 2.61553i | 0.489784 | − | 0.871844i | ||||
\(10\) | −1.27442 | − | 2.25054i | −0.403006 | − | 0.711683i | ||||
\(11\) | 1.55262 | + | 5.79446i | 0.468133 | + | 1.74710i | 0.646288 | + | 0.763093i | \(0.276320\pi\) |
−0.178156 | + | 0.984002i | \(0.557013\pi\) | |||||||
\(12\) | 1.69949 | + | 3.01856i | 0.490601 | + | 0.871384i | ||||
\(13\) | 0.296913 | − | 1.10810i | 0.0823489 | − | 0.307330i | −0.912450 | − | 0.409188i | \(-0.865812\pi\) |
0.994799 | + | 0.101858i | \(0.0324787\pi\) | |||||||
\(14\) | −0.997253 | − | 3.85009i | −0.266527 | − | 1.02898i | ||||
\(15\) | 0.837802 | + | 3.05478i | 0.216320 | + | 0.788741i | ||||
\(16\) | −3.99777 | − | 0.133554i | −0.999442 | − | 0.0333884i | ||||
\(17\) | 0.699378i | 0.169624i | 0.996397 | + | 0.0848120i | \(0.0270290\pi\) | ||||
−0.996397 | + | 0.0848120i | \(0.972971\pi\) | |||||||
\(18\) | −1.11203 | − | 4.09431i | −0.262109 | − | 0.965038i | ||||
\(19\) | −2.01481 | + | 2.01481i | −0.462228 | + | 0.462228i | −0.899385 | − | 0.437157i | \(-0.855985\pi\) |
0.437157 | + | 0.899385i | \(0.355985\pi\) | |||||||
\(20\) | −3.51668 | − | 1.00552i | −0.786354 | − | 0.224840i | ||||
\(21\) | 0.0286324 | + | 4.87090i | 0.00624810 | + | 1.06292i | ||||
\(22\) | 7.31141 | + | 4.30303i | 1.55880 | + | 0.917409i | ||||
\(23\) | −4.91498 | + | 2.83767i | −1.02485 | + | 0.591695i | −0.915504 | − | 0.402310i | \(-0.868208\pi\) |
−0.109341 | + | 0.994004i | \(0.534874\pi\) | |||||||
\(24\) | 4.70688 | + | 1.35841i | 0.960788 | + | 0.277285i | ||||
\(25\) | 1.43368 | + | 0.827735i | 0.286736 | + | 0.165547i | ||||
\(26\) | −0.799424 | − | 1.41173i | −0.156780 | − | 0.276863i | ||||
\(27\) | 0.0916271 | + | 5.19534i | 0.0176336 | + | 0.999845i | ||||
\(28\) | −4.82335 | − | 2.89320i | −0.911528 | − | 0.546764i | ||||
\(29\) | 1.45175 | + | 5.41802i | 0.269584 | + | 1.00610i | 0.959385 | + | 0.282101i | \(0.0910315\pi\) |
−0.689801 | + | 0.723999i | \(0.742302\pi\) | |||||||
\(30\) | 3.87394 | + | 2.24940i | 0.707281 | + | 0.410682i | ||||
\(31\) | 5.15522 | − | 2.97637i | 0.925905 | − | 0.534572i | 0.0403909 | − | 0.999184i | \(-0.487140\pi\) |
0.885514 | + | 0.464612i | \(0.153806\pi\) | |||||||
\(32\) | −4.16344 | + | 3.82959i | −0.735999 | + | 0.676982i | ||||
\(33\) | −7.39014 | − | 7.30377i | −1.28646 | − | 1.27142i | ||||
\(34\) | 0.693515 | + | 0.705192i | 0.118937 | + | 0.120939i | ||||
\(35\) | −3.63671 | − | 3.63671i | −0.614717 | − | 0.614717i | ||||
\(36\) | −5.18127 | − | 3.02564i | −0.863544 | − | 0.504273i | ||||
\(37\) | 3.48490 | − | 3.48490i | 0.572913 | − | 0.572913i | −0.360028 | − | 0.932941i | \(-0.617233\pi\) |
0.932941 | + | 0.360028i | \(0.117233\pi\) | |||||||
\(38\) | −0.0336414 | + | 4.02947i | −0.00545736 | + | 0.653666i | ||||
\(39\) | 0.525542 | + | 1.91622i | 0.0841540 | + | 0.306841i | ||||
\(40\) | −4.54301 | + | 2.47333i | −0.718312 | + | 0.391067i | ||||
\(41\) | −1.55998 | − | 2.70196i | −0.243628 | − | 0.421975i | 0.718117 | − | 0.695922i | \(-0.245004\pi\) |
−0.961745 | + | 0.273947i | \(0.911671\pi\) | |||||||
\(42\) | 4.85894 | + | 4.88301i | 0.749751 | + | 0.753464i | ||||
\(43\) | 7.09570 | − | 1.90129i | 1.08208 | − | 0.289944i | 0.326635 | − | 0.945151i | \(-0.394085\pi\) |
0.755450 | + | 0.655207i | \(0.227419\pi\) | |||||||
\(44\) | 11.6392 | − | 2.91131i | 1.75467 | − | 0.438897i | ||||
\(45\) | −3.92482 | − | 3.83361i | −0.585078 | − | 0.571480i | ||||
\(46\) | −2.14197 | + | 7.73504i | −0.315816 | + | 1.14047i | ||||
\(47\) | 2.83634 | − | 4.91269i | 0.413723 | − | 0.716589i | −0.581570 | − | 0.813496i | \(-0.697562\pi\) |
0.995293 | + | 0.0969068i | \(0.0308949\pi\) | |||||||
\(48\) | 6.09304 | − | 3.29771i | 0.879454 | − | 0.475984i | ||||
\(49\) | −0.454420 | − | 0.787079i | −0.0649172 | − | 0.112440i | ||||
\(50\) | 2.26639 | − | 0.587044i | 0.320517 | − | 0.0830205i | ||||
\(51\) | −0.611835 | − | 1.04549i | −0.0856741 | − | 0.146398i | ||||
\(52\) | −2.20597 | − | 0.630746i | −0.305913 | − | 0.0874688i | ||||
\(53\) | 4.45605 | + | 4.45605i | 0.612086 | + | 0.612086i | 0.943489 | − | 0.331403i | \(-0.107522\pi\) |
−0.331403 | + | 0.943489i | \(0.607522\pi\) | |||||||
\(54\) | 5.24418 | + | 5.14768i | 0.713642 | + | 0.700510i | ||||
\(55\) | 10.9708 | 1.47930 | ||||||||
\(56\) | −7.73240 | + | 1.86566i | −1.03329 | + | 0.249310i | ||||
\(57\) | 1.24929 | − | 4.77451i | 0.165473 | − | 0.632399i | ||||
\(58\) | 6.83642 | + | 4.02348i | 0.897666 | + | 0.528309i | ||||
\(59\) | −13.6570 | − | 3.65938i | −1.77799 | − | 0.476411i | −0.787775 | − | 0.615963i | \(-0.788767\pi\) |
−0.990215 | + | 0.139552i | \(0.955434\pi\) | |||||||
\(60\) | 6.13668 | − | 1.57336i | 0.792242 | − | 0.203120i | ||||
\(61\) | −13.2354 | + | 3.54643i | −1.69463 | + | 0.454074i | −0.971577 | − | 0.236724i | \(-0.923926\pi\) |
−0.723048 | + | 0.690797i | \(0.757260\pi\) | |||||||
\(62\) | 2.24666 | − | 8.11312i | 0.285327 | − | 1.03037i | ||||
\(63\) | −4.30400 | − | 7.25638i | −0.542253 | − | 0.914219i | ||||
\(64\) | −0.400567 | + | 7.98997i | −0.0500709 | + | 0.998746i | ||||
\(65\) | −1.81690 | − | 1.04899i | −0.225359 | − | 0.130111i | ||||
\(66\) | −14.6941 | − | 0.0363014i | −1.80872 | − | 0.00446839i | ||||
\(67\) | −12.8958 | − | 3.45542i | −1.57547 | − | 0.422146i | −0.637952 | − | 0.770077i | \(-0.720218\pi\) |
−0.937520 | + | 0.347930i | \(0.886885\pi\) | |||||||
\(68\) | 1.39856 | + | 0.0233544i | 0.169600 | + | 0.00283213i | ||||
\(69\) | 4.86486 | − | 8.54175i | 0.585660 | − | 1.02831i | ||||
\(70\) | −7.27317 | − | 0.0607225i | −0.869310 | − | 0.00725773i | ||||
\(71\) | 7.21910i | 0.856749i | 0.903601 | + | 0.428375i | \(0.140914\pi\) | ||||
−0.903601 | + | 0.428375i | \(0.859086\pi\) | |||||||
\(72\) | −8.22461 | + | 2.08704i | −0.969280 | + | 0.245960i | ||||
\(73\) | 3.75535i | 0.439531i | 0.975553 | + | 0.219765i | \(0.0705292\pi\) | ||||
−0.975553 | + | 0.219765i | \(0.929471\pi\) | |||||||
\(74\) | 0.0581877 | − | 6.96955i | 0.00676418 | − | 0.810194i | ||||
\(75\) | −2.86731 | + | 0.0168548i | −0.331088 | + | 0.00194622i | ||||
\(76\) | 3.96177 | + | 4.09633i | 0.454446 | + | 0.469881i | ||||
\(77\) | 16.2956 | + | 4.36638i | 1.85705 | + | 0.497596i | ||||
\(78\) | 2.43007 | + | 1.41102i | 0.275151 | + | 0.159766i | ||||
\(79\) | 2.96345 | + | 1.71095i | 0.333415 | + | 0.192497i | 0.657356 | − | 0.753580i | \(-0.271675\pi\) |
−0.323942 | + | 0.946077i | \(0.605008\pi\) | |||||||
\(80\) | −2.12818 | + | 6.99881i | −0.237938 | + | 0.782490i | ||||
\(81\) | −4.68200 | − | 7.68628i | −0.520223 | − | 0.854031i | ||||
\(82\) | −4.25226 | − | 1.17752i | −0.469583 | − | 0.130036i | ||||
\(83\) | 1.15222 | − | 0.308735i | 0.126472 | − | 0.0338881i | −0.195028 | − | 0.980798i | \(-0.562480\pi\) |
0.321500 | + | 0.946910i | \(0.395813\pi\) | |||||||
\(84\) | 9.74141 | + | 0.105397i | 1.06287 | + | 0.0114998i | ||||
\(85\) | 1.23544 | + | 0.331036i | 0.134003 | + | 0.0359059i | ||||
\(86\) | 5.26935 | − | 8.95331i | 0.568208 | − | 0.965461i | ||||
\(87\) | −6.91004 | − | 6.82927i | −0.740834 | − | 0.732175i | ||||
\(88\) | 8.84901 | − | 14.4771i | 0.943308 | − | 1.54326i | ||||
\(89\) | −0.391835 | −0.0415344 | −0.0207672 | − | 0.999784i | \(-0.506611\pi\) | ||||
−0.0207672 | + | 0.999784i | \(0.506611\pi\) | |||||||
\(90\) | −7.75892 | + | 0.0264403i | −0.817862 | + | 0.00278705i | ||||
\(91\) | −2.28126 | − | 2.28126i | −0.239141 | − | 0.239141i | ||||
\(92\) | 5.51042 | + | 9.92336i | 0.574501 | + | 1.03458i | ||||
\(93\) | −5.10265 | + | 8.95925i | −0.529120 | + | 0.929031i | ||||
\(94\) | −2.01158 | − | 7.76609i | −0.207479 | − | 0.801011i | ||||
\(95\) | 2.60547 | + | 4.51280i | 0.267315 | + | 0.463004i | ||||
\(96\) | 2.87363 | − | 9.36708i | 0.293288 | − | 0.956024i | ||||
\(97\) | −0.875387 | + | 1.51622i | −0.0888821 | + | 0.153948i | −0.907039 | − | 0.421047i | \(-0.861663\pi\) |
0.818157 | + | 0.574995i | \(0.194996\pi\) | |||||||
\(98\) | −1.23868 | − | 0.343012i | −0.125125 | − | 0.0346494i | ||||
\(99\) | 17.4369 | + | 4.45318i | 1.75248 | + | 0.447561i | ||||
\(100\) | 1.70311 | − | 2.83932i | 0.170311 | − | 0.283932i | ||||
\(101\) | −0.816427 | + | 0.218761i | −0.0812375 | + | 0.0217675i | −0.299209 | − | 0.954188i | \(-0.596723\pi\) |
0.217971 | + | 0.975955i | \(0.430056\pi\) | |||||||
\(102\) | −1.65365 | − | 0.447474i | −0.163735 | − | 0.0443066i | ||||
\(103\) | −5.30341 | − | 9.18577i | −0.522560 | − | 0.905101i | −0.999655 | − | 0.0262492i | \(-0.991644\pi\) |
0.477095 | − | 0.878852i | \(-0.341690\pi\) | |||||||
\(104\) | −2.84976 | + | 1.55148i | −0.279442 | + | 0.152135i | ||||
\(105\) | 8.61796 | + | 2.25496i | 0.841026 | + | 0.220062i | ||||
\(106\) | 8.91180 | + | 0.0744032i | 0.865590 | + | 0.00722668i | ||||
\(107\) | 6.39894 | − | 6.39894i | 0.618609 | − | 0.618609i | −0.326566 | − | 0.945174i | \(-0.605891\pi\) |
0.945174 | + | 0.326566i | \(0.105891\pi\) | |||||||
\(108\) | 10.3923 | − | 0.00974024i | 1.00000 | − | 0.000937255i | ||||
\(109\) | 1.52592 | + | 1.52592i | 0.146157 | + | 0.146157i | 0.776399 | − | 0.630242i | \(-0.217044\pi\) |
−0.630242 | + | 0.776399i | \(0.717044\pi\) | |||||||
\(110\) | 11.0620 | − | 10.8788i | 1.05472 | − | 1.03725i | ||||
\(111\) | −2.16083 | + | 8.25820i | −0.205097 | + | 0.783834i | ||||
\(112\) | −5.94666 | + | 9.54875i | −0.561907 | + | 0.902272i | ||||
\(113\) | 5.75213 | − | 3.32099i | 0.541115 | − | 0.312413i | −0.204416 | − | 0.978884i | \(-0.565529\pi\) |
0.745531 | + | 0.666471i | \(0.232196\pi\) | |||||||
\(114\) | −3.47480 | − | 6.05302i | −0.325445 | − | 0.566917i | ||||
\(115\) | 2.68630 | + | 10.0254i | 0.250499 | + | 0.934876i | ||||
\(116\) | 10.8830 | − | 2.72218i | 1.01046 | − | 0.252748i | ||||
\(117\) | −2.46199 | − | 2.40477i | −0.227611 | − | 0.222321i | ||||
\(118\) | −17.3992 | + | 9.85270i | −1.60173 | + | 0.907015i | ||||
\(119\) | 1.70333 | + | 0.983418i | 0.156144 | + | 0.0901498i | ||||
\(120\) | 4.62753 | − | 7.67168i | 0.422434 | − | 0.700325i | ||||
\(121\) | −21.6389 | + | 12.4932i | −1.96717 | + | 1.13575i | ||||
\(122\) | −9.82879 | + | 16.7004i | −0.889857 | + | 1.51198i | ||||
\(123\) | 4.69574 | + | 2.67441i | 0.423400 | + | 0.241143i | ||||
\(124\) | −5.77976 | − | 10.4084i | −0.519038 | − | 0.934701i | ||||
\(125\) | 8.60659 | − | 8.60659i | 0.769797 | − | 0.769797i | ||||
\(126\) | −11.5353 | − | 3.04879i | −1.02765 | − | 0.271608i | ||||
\(127\) | − | 13.8224i | − | 1.22654i | −0.789874 | − | 0.613270i | \(-0.789854\pi\) | ||
0.789874 | − | 0.613270i | \(-0.210146\pi\) | |||||||
\(128\) | 7.51908 | + | 8.45360i | 0.664599 | + | 0.747200i | ||||
\(129\) | −8.94395 | + | 9.04972i | −0.787471 | + | 0.796784i | ||||
\(130\) | −2.87220 | + | 0.743960i | −0.251909 | + | 0.0652496i | ||||
\(131\) | 2.40595 | − | 8.97914i | 0.210209 | − | 0.784511i | −0.777589 | − | 0.628773i | \(-0.783558\pi\) |
0.987798 | − | 0.155739i | \(-0.0497757\pi\) | |||||||
\(132\) | −14.8523 | + | 14.5343i | −1.29272 | + | 1.26505i | ||||
\(133\) | 2.07396 | + | 7.74013i | 0.179835 | + | 0.671154i | ||||
\(134\) | −16.4295 | + | 9.30354i | −1.41929 | + | 0.803703i | ||||
\(135\) | 9.22090 | + | 2.29725i | 0.793608 | + | 0.197716i | ||||
\(136\) | 1.43335 | − | 1.36329i | 0.122908 | − | 0.116901i | ||||
\(137\) | −5.96603 | + | 10.3335i | −0.509712 | + | 0.882848i | 0.490224 | + | 0.871596i | \(0.336915\pi\) |
−0.999937 | + | 0.0112514i | \(0.996419\pi\) | |||||||
\(138\) | −3.56483 | − | 13.4368i | −0.303459 | − | 1.14382i | ||||
\(139\) | −0.323448 | + | 1.20712i | −0.0274345 | + | 0.102387i | −0.978286 | − | 0.207262i | \(-0.933545\pi\) |
0.950851 | + | 0.309649i | \(0.100211\pi\) | |||||||
\(140\) | −7.39385 | + | 7.15097i | −0.624894 | + | 0.604367i | ||||
\(141\) | 0.0577550 | + | 9.82521i | 0.00486385 | + | 0.827432i | ||||
\(142\) | 7.15858 | + | 7.27912i | 0.600735 | + | 0.610850i | ||||
\(143\) | 6.88181 | 0.575486 | ||||||||
\(144\) | −6.22345 | + | 10.2601i | −0.518621 | + | 0.855004i | ||||
\(145\) | 10.2580 | 0.851884 | ||||||||
\(146\) | 3.72387 | + | 3.78657i | 0.308190 | + | 0.313379i | ||||
\(147\) | 1.36786 | + | 0.779052i | 0.112819 | + | 0.0642551i | ||||
\(148\) | −6.85245 | − | 7.08519i | −0.563268 | − | 0.582399i | ||||
\(149\) | −0.930902 | + | 3.47417i | −0.0762625 | + | 0.284615i | −0.993517 | − | 0.113687i | \(-0.963734\pi\) |
0.917254 | + | 0.398302i | \(0.130401\pi\) | |||||||
\(150\) | −2.87443 | + | 2.86027i | −0.234697 | + | 0.233540i | ||||
\(151\) | −5.43126 | + | 9.40721i | −0.441989 | + | 0.765548i | −0.997837 | − | 0.0657361i | \(-0.979060\pi\) |
0.555848 | + | 0.831284i | \(0.312394\pi\) | |||||||
\(152\) | 8.05669 | + | 0.201830i | 0.653484 | + | 0.0163705i | ||||
\(153\) | 1.82924 | + | 1.02763i | 0.147886 | + | 0.0830792i | ||||
\(154\) | 20.7608 | − | 11.7563i | 1.67295 | − | 0.947347i | ||||
\(155\) | −2.81761 | − | 10.5155i | −0.226316 | − | 0.844621i | ||||
\(156\) | 3.84946 | − | 0.986948i | 0.308203 | − | 0.0790191i | ||||
\(157\) | 2.55352 | − | 9.52986i | 0.203793 | − | 0.760565i | −0.786021 | − | 0.618199i | \(-0.787862\pi\) |
0.989814 | − | 0.142366i | \(-0.0454709\pi\) | |||||||
\(158\) | 4.68470 | − | 1.21343i | 0.372695 | − | 0.0965357i | ||||
\(159\) | −10.5596 | − | 2.76300i | −0.837428 | − | 0.219120i | ||||
\(160\) | 4.79426 | + | 9.16734i | 0.379019 | + | 0.724742i | ||||
\(161\) | 15.9606i | 1.25787i | ||||||||
\(162\) | −12.3428 | − | 3.10743i | −0.969739 | − | 0.244142i | ||||
\(163\) | −3.66703 | + | 3.66703i | −0.287224 | + | 0.287224i | −0.835981 | − | 0.548758i | \(-0.815101\pi\) |
0.548758 | + | 0.835981i | \(0.315101\pi\) | |||||||
\(164\) | −5.45526 | + | 3.02929i | −0.425984 | + | 0.236548i | ||||
\(165\) | −16.4000 | + | 9.59752i | −1.27674 | + | 0.747166i | ||||
\(166\) | 0.855648 | − | 1.45386i | 0.0664112 | − | 0.112841i | ||||
\(167\) | −17.4253 | + | 10.0605i | −1.34841 | + | 0.778505i | −0.988024 | − | 0.154299i | \(-0.950688\pi\) |
−0.360385 | + | 0.932803i | \(0.617355\pi\) | |||||||
\(168\) | 9.92691 | − | 9.55347i | 0.765877 | − | 0.737066i | ||||
\(169\) | 10.1186 | + | 5.84198i | 0.778355 | + | 0.449383i | ||||
\(170\) | 1.57398 | − | 0.891299i | 0.120719 | − | 0.0683595i | ||||
\(171\) | 2.30932 | + | 8.23025i | 0.176598 | + | 0.629383i | ||||
\(172\) | −3.56510 | − | 14.2529i | −0.271836 | − | 1.08677i | ||||
\(173\) | −2.70826 | − | 10.1074i | −0.205906 | − | 0.768450i | −0.989172 | − | 0.146763i | \(-0.953114\pi\) |
0.783266 | − | 0.621687i | \(-0.213552\pi\) | |||||||
\(174\) | −13.7395 | − | 0.0339430i | −1.04159 | − | 0.00257321i | ||||
\(175\) | 4.03189 | − | 2.32781i | 0.304782 | − | 0.175966i | ||||
\(176\) | −5.43315 | − | 23.3723i | −0.409539 | − | 1.76175i | ||||
\(177\) | 23.6169 | − | 6.47717i | 1.77516 | − | 0.486854i | ||||
\(178\) | −0.395093 | + | 0.388550i | −0.0296135 | + | 0.0291231i | ||||
\(179\) | −12.4542 | − | 12.4542i | −0.930872 | − | 0.930872i | 0.0668885 | − | 0.997760i | \(-0.478693\pi\) |
−0.997760 | + | 0.0668885i | \(0.978693\pi\) | |||||||
\(180\) | −7.79721 | + | 7.72053i | −0.581169 | + | 0.575455i | ||||
\(181\) | −9.12083 | + | 9.12083i | −0.677946 | + | 0.677946i | −0.959535 | − | 0.281589i | \(-0.909139\pi\) |
0.281589 | + | 0.959535i | \(0.409139\pi\) | |||||||
\(182\) | −4.56236 | − | 0.0380904i | −0.338185 | − | 0.00282345i | ||||
\(183\) | 16.6829 | − | 16.8802i | 1.23324 | − | 1.24782i | ||||
\(184\) | 15.3964 | + | 4.54163i | 1.13504 | + | 0.334814i | ||||
\(185\) | −4.50653 | − | 7.80554i | −0.331327 | − | 0.573875i | ||||
\(186\) | 3.73908 | + | 14.0936i | 0.274162 | + | 1.03339i | ||||
\(187\) | −4.05252 | + | 1.08587i | −0.296349 | + | 0.0794066i | ||||
\(188\) | −9.72929 | − | 5.83594i | −0.709582 | − | 0.425630i | ||||
\(189\) | 12.7821 | + | 7.08219i | 0.929759 | + | 0.515153i | ||||
\(190\) | 7.10210 | + | 1.96670i | 0.515240 | + | 0.142679i | ||||
\(191\) | −1.76985 | + | 3.06547i | −0.128062 | + | 0.221810i | −0.922926 | − | 0.384978i | \(-0.874209\pi\) |
0.794864 | + | 0.606788i | \(0.207542\pi\) | |||||||
\(192\) | −6.39104 | − | 12.2945i | −0.461234 | − | 0.887279i | ||||
\(193\) | 7.43004 | + | 12.8692i | 0.534826 | + | 0.926346i | 0.999172 | + | 0.0406916i | \(0.0129561\pi\) |
−0.464346 | + | 0.885654i | \(0.653711\pi\) | |||||||
\(194\) | 0.620839 | + | 2.39687i | 0.0445737 | + | 0.172085i | ||||
\(195\) | 3.63374 | − | 0.0213600i | 0.260218 | − | 0.00152962i | ||||
\(196\) | −1.58911 | + | 0.882431i | −0.113508 | + | 0.0630308i | ||||
\(197\) | −11.9105 | − | 11.9105i | −0.848589 | − | 0.848589i | 0.141368 | − | 0.989957i | \(-0.454850\pi\) |
−0.989957 | + | 0.141368i | \(0.954850\pi\) | |||||||
\(198\) | 21.9978 | − | 12.8006i | 1.56331 | − | 0.909696i | ||||
\(199\) | 15.5983 | 1.10574 | 0.552868 | − | 0.833269i | \(-0.313533\pi\) | ||||
0.552868 | + | 0.833269i | \(0.313533\pi\) | |||||||
\(200\) | −1.09824 | − | 4.55176i | −0.0776574 | − | 0.321858i | ||||
\(201\) | 22.3006 | − | 6.11615i | 1.57296 | − | 0.431400i | ||||
\(202\) | −0.606287 | + | 1.03016i | −0.0426582 | + | 0.0724819i | ||||
\(203\) | 15.2369 | + | 4.08272i | 1.06942 | + | 0.286551i | ||||
\(204\) | −2.11112 | + | 1.18859i | −0.147808 | + | 0.0832178i | ||||
\(205\) | −5.51137 | + | 1.47677i | −0.384931 | + | 0.103142i | ||||
\(206\) | −14.4563 | − | 4.00319i | −1.00722 | − | 0.278916i | ||||
\(207\) | 0.200159 | + | 17.0248i | 0.0139120 | + | 1.18331i | ||||
\(208\) | −1.33498 | + | 4.39026i | −0.0925643 | + | 0.304409i | ||||
\(209\) | −14.8029 | − | 8.54648i | −1.02394 | − | 0.591172i | ||||
\(210\) | 10.9257 | − | 6.27200i | 0.753942 | − | 0.432809i | ||||
\(211\) | 15.6018 | + | 4.18049i | 1.07407 | + | 0.287797i | 0.752165 | − | 0.658975i | \(-0.229010\pi\) |
0.321907 | + | 0.946771i | \(0.395676\pi\) | |||||||
\(212\) | 9.05967 | − | 8.76207i | 0.622221 | − | 0.601781i | ||||
\(213\) | −6.31547 | − | 10.7917i | −0.432729 | − | 0.739436i | ||||
\(214\) | 0.106844 | − | 12.7974i | 0.00730368 | − | 0.874814i | ||||
\(215\) | − | 13.4344i | − | 0.916220i | ||||||
\(216\) | 10.4690 | − | 10.3150i | 0.712328 | − | 0.701847i | ||||
\(217\) | − | 16.7407i | − | 1.13643i | ||||||
\(218\) | 3.05174 | + | 0.0254785i | 0.206690 | + | 0.00172562i | ||||
\(219\) | −3.28529 | − | 5.61381i | −0.221999 | − | 0.379346i | ||||
\(220\) | 0.366347 | − | 21.9385i | 0.0246991 | − | 1.47909i | ||||
\(221\) | 0.774977 | + | 0.207655i | 0.0521306 | + | 0.0139684i | ||||
\(222\) | 6.01017 | + | 10.4696i | 0.403376 | + | 0.702672i | ||||
\(223\) | −13.9254 | − | 8.03982i | −0.932512 | − | 0.538386i | −0.0449068 | − | 0.998991i | \(-0.514299\pi\) |
−0.887605 | + | 0.460605i | \(0.847632\pi\) | |||||||
\(224\) | 3.47259 | + | 15.5249i | 0.232023 | + | 1.03730i | ||||
\(225\) | 4.27155 | − | 2.53360i | 0.284770 | − | 0.168907i | ||||
\(226\) | 2.50680 | − | 9.05251i | 0.166750 | − | 0.602164i | ||||
\(227\) | 10.6697 | − | 2.85895i | 0.708176 | − | 0.189755i | 0.113286 | − | 0.993562i | \(-0.463862\pi\) |
0.594890 | + | 0.803807i | \(0.297196\pi\) | |||||||
\(228\) | −9.50596 | − | 2.65767i | −0.629548 | − | 0.176009i | ||||
\(229\) | −0.390566 | − | 0.104652i | −0.0258093 | − | 0.00691559i | 0.245891 | − | 0.969297i | \(-0.420919\pi\) |
−0.271701 | + | 0.962382i | \(0.587586\pi\) | |||||||
\(230\) | 12.6500 | + | 7.44499i | 0.834117 | + | 0.490908i | ||||
\(231\) | −28.1798 | + | 7.72858i | −1.85409 | + | 0.508503i | ||||
\(232\) | 8.27413 | − | 13.5366i | 0.543223 | − | 0.888720i | ||||
\(233\) | −11.6252 | −0.761590 | −0.380795 | − | 0.924659i | \(-0.624350\pi\) | ||||
−0.380795 | + | 0.924659i | \(0.624350\pi\) | |||||||
\(234\) | −4.86706 | + | 0.0165857i | −0.318170 | + | 0.00108424i | ||||
\(235\) | −7.33569 | − | 7.33569i | −0.478528 | − | 0.478528i | ||||
\(236\) | −7.77379 | + | 27.1880i | −0.506031 | + | 1.76979i | ||||
\(237\) | −5.92680 | + | 0.0348392i | −0.384987 | + | 0.00226305i | ||||
\(238\) | 2.69267 | − | 0.697457i | 0.174540 | − | 0.0452094i | ||||
\(239\) | 1.55685 | + | 2.69654i | 0.100704 | + | 0.174425i | 0.911975 | − | 0.410246i | \(-0.134557\pi\) |
−0.811271 | + | 0.584671i | \(0.801224\pi\) | |||||||
\(240\) | −2.94136 | − | 12.3242i | −0.189864 | − | 0.795523i | ||||
\(241\) | −7.16669 | + | 12.4131i | −0.461647 | + | 0.799596i | −0.999043 | − | 0.0437337i | \(-0.986075\pi\) |
0.537396 | + | 0.843330i | \(0.319408\pi\) | |||||||
\(242\) | −9.43029 | + | 34.0545i | −0.606202 | + | 2.18911i | ||||
\(243\) | 13.7232 | + | 7.39414i | 0.880345 | + | 0.474334i | ||||
\(244\) | 6.64989 | + | 26.5856i | 0.425716 | + | 1.70197i | ||||
\(245\) | −1.60546 | + | 0.430181i | −0.102569 | + | 0.0274833i | ||||
\(246\) | 7.38676 | − | 1.95973i | 0.470963 | − | 0.124948i | ||||
\(247\) | 1.63437 | + | 2.83082i | 0.103993 | + | 0.180121i | ||||
\(248\) | −16.1489 | − | 4.76362i | −1.02546 | − | 0.302490i | ||||
\(249\) | −1.45234 | + | 1.46951i | −0.0920382 | + | 0.0931266i | ||||
\(250\) | 0.143705 | − | 17.2126i | 0.00908871 | − | 1.08862i | ||||
\(251\) | −3.06176 | + | 3.06176i | −0.193257 | + | 0.193257i | −0.797102 | − | 0.603845i | \(-0.793635\pi\) |
0.603845 | + | 0.797102i | \(0.293635\pi\) | |||||||
\(252\) | −14.6545 | + | 8.36449i | −0.923145 | + | 0.526914i | ||||
\(253\) | −24.0739 | − | 24.0739i | −1.51351 | − | 1.51351i | ||||
\(254\) | −13.7065 | − | 13.9373i | −0.860023 | − | 0.874505i | ||||
\(255\) | −2.13645 | + | 0.585940i | −0.133789 | + | 0.0366930i | ||||
\(256\) | 15.9643 | + | 1.06783i | 0.997770 | + | 0.0667395i | ||||
\(257\) | 2.78074 | − | 1.60546i | 0.173458 | − | 0.100146i | −0.410757 | − | 0.911745i | \(-0.634736\pi\) |
0.584215 | + | 0.811599i | \(0.301402\pi\) | |||||||
\(258\) | −0.0444534 | + | 17.9939i | −0.00276755 | + | 1.12025i | ||||
\(259\) | −3.58722 | − | 13.3877i | −0.222899 | − | 0.831870i | ||||
\(260\) | −2.15836 | + | 3.59827i | −0.133856 | + | 0.223155i | ||||
\(261\) | 16.3041 | + | 4.16388i | 1.00920 | + | 0.257737i | ||||
\(262\) | −6.47791 | − | 11.4396i | −0.400207 | − | 0.706739i | ||||
\(263\) | 2.63762 | + | 1.52283i | 0.162643 | + | 0.0939018i | 0.579112 | − | 0.815248i | \(-0.303399\pi\) |
−0.416469 | + | 0.909150i | \(0.636733\pi\) | |||||||
\(264\) | −0.563274 | + | 29.3829i | −0.0346671 | + | 1.80839i | ||||
\(265\) | 9.98076 | − | 5.76240i | 0.613113 | − | 0.353981i | ||||
\(266\) | 9.76645 | + | 5.74790i | 0.598819 | + | 0.352427i | ||||
\(267\) | 0.585748 | − | 0.342788i | 0.0358472 | − | 0.0209783i | ||||
\(268\) | −7.34050 | + | 25.6726i | −0.448393 | + | 1.56820i | ||||
\(269\) | 1.99648 | − | 1.99648i | 0.121727 | − | 0.121727i | −0.643619 | − | 0.765346i | \(-0.722568\pi\) |
0.765346 | + | 0.643619i | \(0.222568\pi\) | |||||||
\(270\) | 11.5755 | − | 6.82724i | 0.704466 | − | 0.415493i | ||||
\(271\) | 13.9357i | 0.846534i | 0.906005 | + | 0.423267i | \(0.139117\pi\) | ||||
−0.906005 | + | 0.423267i | \(0.860883\pi\) | |||||||
\(272\) | 0.0934044 | − | 2.79595i | 0.00566347 | − | 0.169529i | ||||
\(273\) | 5.40593 | + | 1.41451i | 0.327182 | + | 0.0856099i | ||||
\(274\) | 4.23121 | + | 16.3354i | 0.255617 | + | 0.986857i | ||||
\(275\) | −2.57032 | + | 9.59256i | −0.154996 | + | 0.578453i | ||||
\(276\) | −16.9187 | − | 10.0136i | −1.01838 | − | 0.602748i | ||||
\(277\) | −8.09885 | − | 30.2253i | −0.486613 | − | 1.81606i | −0.572686 | − | 0.819774i | \(-0.694099\pi\) |
0.0860738 | − | 0.996289i | \(-0.472568\pi\) | |||||||
\(278\) | 0.870867 | + | 1.53790i | 0.0522311 | + | 0.0922368i | ||||
\(279\) | −0.209943 | − | 17.8570i | −0.0125689 | − | 1.06907i | ||||
\(280\) | −0.364301 | + | 14.5423i | −0.0217712 | + | 0.869068i | ||||
\(281\) | 11.3745 | − | 19.7012i | 0.678544 | − | 1.17527i | −0.296875 | − | 0.954916i | \(-0.595944\pi\) |
0.975419 | − | 0.220357i | \(-0.0707222\pi\) | |||||||
\(282\) | 9.80107 | + | 9.84962i | 0.583645 | + | 0.586536i | ||||
\(283\) | 0.633463 | − | 2.36412i | 0.0376555 | − | 0.140532i | −0.944539 | − | 0.328399i | \(-0.893491\pi\) |
0.982194 | + | 0.187867i | \(0.0601575\pi\) | |||||||
\(284\) | 14.4362 | + | 0.241068i | 0.856630 | + | 0.0143047i | ||||
\(285\) | −7.84279 | − | 4.46678i | −0.464567 | − | 0.264589i | ||||
\(286\) | 6.93902 | − | 6.82411i | 0.410313 | − | 0.403518i | ||||
\(287\) | −8.77415 | −0.517921 | ||||||||
\(288\) | 3.89885 | + | 16.5166i | 0.229742 | + | 0.973252i | ||||
\(289\) | 16.5109 | 0.971228 | ||||||||
\(290\) | 10.3433 | − | 10.1720i | 0.607381 | − | 0.597323i | ||||
\(291\) | −0.0178251 | − | 3.03238i | −0.00104492 | − | 0.177761i | ||||
\(292\) | 7.50966 | + | 0.125403i | 0.439469 | + | 0.00733863i | ||||
\(293\) | 2.01774 | − | 7.53030i | 0.117877 | − | 0.439925i | −0.881609 | − | 0.471981i | \(-0.843539\pi\) |
0.999486 | + | 0.0320565i | \(0.0102057\pi\) | |||||||
\(294\) | 2.15176 | − | 0.570868i | 0.125493 | − | 0.0332937i | ||||
\(295\) | −12.9285 | + | 22.3929i | −0.752728 | + | 1.30376i | ||||
\(296\) | −13.9352 | − | 0.349094i | −0.809968 | − | 0.0202907i | ||||
\(297\) | −29.9620 | + | 8.59733i | −1.73857 | + | 0.498868i | ||||
\(298\) | 2.50641 | + | 4.42616i | 0.145192 | + | 0.256400i | ||||
\(299\) | 1.68508 | + | 6.28881i | 0.0974508 | + | 0.363691i | ||||
\(300\) | −0.0620433 | + | 5.73438i | −0.00358207 | + | 0.331075i | ||||
\(301\) | 5.34693 | − | 19.9550i | 0.308192 | − | 1.15019i | ||||
\(302\) | 3.85194 | + | 14.8711i | 0.221654 | + | 0.855738i | ||||
\(303\) | 1.02908 | − | 1.04125i | 0.0591194 | − | 0.0598185i | ||||
\(304\) | 8.32381 | − | 7.78564i | 0.477403 | − | 0.446537i | ||||
\(305\) | 25.0589i | 1.43487i | ||||||||
\(306\) | 2.86347 | − | 0.777733i | 0.163694 | − | 0.0444600i | ||||
\(307\) | −24.0831 | + | 24.0831i | −1.37450 | + | 1.37450i | −0.520843 | + | 0.853652i | \(0.674382\pi\) |
−0.853652 | + | 0.520843i | \(0.825618\pi\) | |||||||
\(308\) | 9.27571 | − | 32.4408i | 0.528532 | − | 1.84848i | ||||
\(309\) | 15.9639 | + | 9.09209i | 0.908157 | + | 0.517231i | ||||
\(310\) | −13.2683 | − | 7.80889i | −0.753590 | − | 0.443515i | ||||
\(311\) | 9.09165 | − | 5.24907i | 0.515540 | − | 0.297647i | −0.219568 | − | 0.975597i | \(-0.570465\pi\) |
0.735108 | + | 0.677950i | \(0.237131\pi\) | |||||||
\(312\) | 2.90279 | − | 4.81234i | 0.164338 | − | 0.272445i | ||||
\(313\) | 19.1380 | + | 11.0493i | 1.08174 | + | 0.624544i | 0.931366 | − | 0.364085i | \(-0.118618\pi\) |
0.150376 | + | 0.988629i | \(0.451952\pi\) | |||||||
\(314\) | −6.87522 | − | 12.1412i | −0.387991 | − | 0.685167i | ||||
\(315\) | −14.8555 | + | 4.16832i | −0.837015 | + | 0.234858i | ||||
\(316\) | 3.52038 | − | 5.86895i | 0.198037 | − | 0.330154i | ||||
\(317\) | −5.71597 | − | 21.3323i | −0.321041 | − | 1.19814i | −0.918232 | − | 0.396042i | \(-0.870383\pi\) |
0.597192 | − | 0.802099i | \(-0.296283\pi\) | |||||||
\(318\) | −13.3872 | + | 7.68506i | −0.750716 | + | 0.430957i | ||||
\(319\) | −29.1405 | + | 16.8243i | −1.63155 | + | 0.941978i | ||||
\(320\) | 13.9246 | + | 4.48949i | 0.778409 | + | 0.250970i | ||||
\(321\) | −3.96770 | + | 15.1636i | −0.221455 | + | 0.846352i | ||||
\(322\) | 15.8267 | + | 16.0932i | 0.881990 | + | 0.896841i | ||||
\(323\) | −1.40911 | − | 1.40911i | −0.0784050 | − | 0.0784050i | ||||
\(324\) | −15.5268 | + | 9.10603i | −0.862598 | + | 0.505891i | ||||
\(325\) | 1.34289 | − | 1.34289i | 0.0744900 | − | 0.0744900i | ||||
\(326\) | −0.0612287 | + | 7.33380i | −0.00339114 | + | 0.406182i | ||||
\(327\) | −3.61599 | − | 0.946157i | −0.199965 | − | 0.0523226i | ||||
\(328\) | −2.49672 | + | 8.46401i | −0.137858 | + | 0.467347i | ||||
\(329\) | −7.97655 | − | 13.8158i | −0.439761 | − | 0.761689i | ||||
\(330\) | −7.01929 | + | 25.9398i | −0.386399 | + | 1.42794i | ||||
\(331\) | 3.16734 | − | 0.848686i | 0.174093 | − | 0.0466480i | −0.170720 | − | 0.985320i | \(-0.554609\pi\) |
0.344812 | + | 0.938672i | \(0.387943\pi\) | |||||||
\(332\) | −0.578908 | − | 2.31442i | −0.0317717 | − | 0.127020i | ||||
\(333\) | −3.99431 | − | 14.2354i | −0.218887 | − | 0.780095i | ||||
\(334\) | −7.59401 | + | 27.4233i | −0.415525 | + | 1.50054i | ||||
\(335\) | −12.2079 | + | 21.1447i | −0.666990 | + | 1.15526i | ||||
\(336\) | 0.536061 | − | 19.4766i | 0.0292445 | − | 1.06253i | ||||
\(337\) | −11.5710 | − | 20.0416i | −0.630315 | − | 1.09174i | −0.987487 | − | 0.157699i | \(-0.949593\pi\) |
0.357172 | − | 0.934038i | \(-0.383741\pi\) | |||||||
\(338\) | 15.9957 | − | 4.14323i | 0.870054 | − | 0.225362i | ||||
\(339\) | −5.69347 | + | 9.99662i | −0.309227 | + | 0.542942i | ||||
\(340\) | 0.703236 | − | 2.45949i | 0.0381383 | − | 0.133385i | ||||
\(341\) | 25.2506 | + | 25.2506i | 1.36739 | + | 1.36739i | ||||
\(342\) | 10.4898 | + | 6.00870i | 0.567222 | + | 0.324914i | ||||
\(343\) | 17.1300 | 0.924931 | ||||||||
\(344\) | −17.7282 | − | 10.8362i | −0.955839 | − | 0.584249i | ||||
\(345\) | −12.7862 | − | 12.6368i | −0.688388 | − | 0.680342i | ||||
\(346\) | −12.7534 | − | 7.50585i | −0.685628 | − | 0.403517i | ||||
\(347\) | 7.59002 | + | 2.03374i | 0.407454 | + | 0.109177i | 0.456724 | − | 0.889609i | \(-0.349023\pi\) |
−0.0492700 | + | 0.998785i | \(0.515689\pi\) | |||||||
\(348\) | −13.8874 | + | 13.5901i | −0.744442 | + | 0.728506i | ||||
\(349\) | 20.9793 | − | 5.62138i | 1.12299 | − | 0.300905i | 0.350900 | − | 0.936413i | \(-0.385876\pi\) |
0.772095 | + | 0.635508i | \(0.219209\pi\) | |||||||
\(350\) | 1.75711 | − | 6.34525i | 0.0939216 | − | 0.339168i | ||||
\(351\) | 5.78414 | + | 1.44103i | 0.308735 | + | 0.0769168i | ||||
\(352\) | −28.6547 | − | 18.1790i | −1.52730 | − | 0.968943i | ||||
\(353\) | −0.108858 | − | 0.0628489i | −0.00579390 | − | 0.00334511i | 0.497100 | − | 0.867693i | \(-0.334398\pi\) |
−0.502894 | + | 0.864348i | \(0.667731\pi\) | |||||||
\(354\) | 17.3904 | − | 29.9500i | 0.924291 | − | 1.59182i | ||||
\(355\) | 12.7525 | + | 3.41701i | 0.676831 | + | 0.181356i | ||||
\(356\) | −0.0130846 | + | 0.783561i | −0.000693481 | + | 0.0415287i | ||||
\(357\) | −3.40660 | + | 0.0200249i | −0.180297 | + | 0.00105983i | ||||
\(358\) | −24.9076 | − | 0.207949i | −1.31641 | − | 0.0109905i | ||||
\(359\) | − | 4.07414i | − | 0.215025i | −0.994204 | − | 0.107512i | \(-0.965711\pi\) | ||
0.994204 | − | 0.107512i | \(-0.0342886\pi\) | |||||||
\(360\) | −0.206221 | + | 15.5166i | −0.0108688 | + | 0.817794i | ||||
\(361\) | 10.8811i | 0.572691i | ||||||||
\(362\) | −0.152291 | + | 18.2410i | −0.00800426 | + | 0.958727i | ||||
\(363\) | 21.4182 | − | 37.6062i | 1.12416 | − | 1.97381i | ||||
\(364\) | −4.63806 | + | 4.48571i | −0.243100 | + | 0.235115i | ||||
\(365\) | 6.63379 | + | 1.77752i | 0.347229 | + | 0.0930396i | ||||
\(366\) | 0.0829179 | − | 33.5636i | 0.00433419 | − | 1.75440i | ||||
\(367\) | 4.96310 | + | 2.86545i | 0.259072 | + | 0.149575i | 0.623911 | − | 0.781495i | \(-0.285543\pi\) |
−0.364839 | + | 0.931071i | \(0.618876\pi\) | |||||||
\(368\) | 20.0280 | − | 10.6879i | 1.04403 | − | 0.557147i | ||||
\(369\) | −9.35922 | + | 0.110035i | −0.487222 | + | 0.00572822i | ||||
\(370\) | −12.2841 | − | 3.40168i | −0.638620 | − | 0.176845i | ||||
\(371\) | 17.1185 | − | 4.58689i | 0.888748 | − | 0.238139i | ||||
\(372\) | 17.7456 | + | 10.5030i | 0.920067 | + | 0.544558i | ||||
\(373\) | 19.7409 | + | 5.28955i | 1.02214 | + | 0.273882i | 0.730695 | − | 0.682704i | \(-0.239196\pi\) |
0.291448 | + | 0.956587i | \(0.405863\pi\) | |||||||
\(374\) | −3.00944 | + | 5.11344i | −0.155615 | + | 0.264410i | ||||
\(375\) | −5.33657 | + | 20.3951i | −0.275579 | + | 1.05320i | ||||
\(376\) | −15.5972 | + | 3.76327i | −0.804364 | + | 0.194076i | ||||
\(377\) | 6.43473 | 0.331405 | ||||||||
\(378\) | 19.9112 | − | 5.53384i | 1.02412 | − | 0.284630i | ||||
\(379\) | −2.85273 | − | 2.85273i | −0.146535 | − | 0.146535i | 0.630033 | − | 0.776568i | \(-0.283041\pi\) |
−0.776568 | + | 0.630033i | \(0.783041\pi\) | |||||||
\(380\) | 9.11135 | − | 5.05951i | 0.467402 | − | 0.259547i | ||||
\(381\) | 12.0922 | + | 20.6629i | 0.619503 | + | 1.05859i | ||||
\(382\) | 1.25521 | + | 4.84597i | 0.0642220 | + | 0.247941i | ||||
\(383\) | 7.78731 | + | 13.4880i | 0.397913 | + | 0.689206i | 0.993468 | − | 0.114109i | \(-0.0364012\pi\) |
−0.595555 | + | 0.803314i | \(0.703068\pi\) | |||||||
\(384\) | −18.6356 | − | 6.05924i | −0.950994 | − | 0.309210i | ||||
\(385\) | 15.4263 | − | 26.7192i | 0.786200 | − | 1.36174i | ||||
\(386\) | 20.2531 | + | 5.60845i | 1.03086 | + | 0.285462i | ||||
\(387\) | 5.45322 | − | 21.3527i | 0.277203 | − | 1.08542i | ||||
\(388\) | 3.00278 | + | 1.80116i | 0.152443 | + | 0.0914401i | ||||
\(389\) | −26.9587 | + | 7.22357i | −1.36686 | + | 0.366250i | −0.866332 | − | 0.499469i | \(-0.833529\pi\) |
−0.500531 | + | 0.865719i | \(0.666862\pi\) | |||||||
\(390\) | 3.64277 | − | 3.62482i | 0.184459 | − | 0.183550i | ||||
\(391\) | −1.98460 | − | 3.43743i | −0.100366 | − | 0.173838i | ||||
\(392\) | −0.727291 | + | 2.46556i | −0.0367337 | + | 0.124529i | ||||
\(393\) | 4.25858 | + | 15.5276i | 0.214817 | + | 0.783262i | ||||
\(394\) | −23.8202 | − | 0.198871i | −1.20004 | − | 0.0100190i | ||||
\(395\) | 4.42507 | − | 4.42507i | 0.222649 | − | 0.222649i | ||||
\(396\) | 9.48739 | − | 34.7203i | 0.476759 | − | 1.74476i | ||||
\(397\) | 27.4204 | + | 27.4204i | 1.37619 | + | 1.37619i | 0.850961 | + | 0.525230i | \(0.176021\pi\) |
0.525230 | + | 0.850961i | \(0.323979\pi\) | |||||||
\(398\) | 15.7280 | − | 15.4676i | 0.788374 | − | 0.775319i | ||||
\(399\) | −9.87161 | − | 9.75623i | −0.494199 | − | 0.488423i | ||||
\(400\) | −5.62097 | − | 3.50057i | −0.281049 | − | 0.175028i | ||||
\(401\) | −14.6316 | + | 8.44757i | −0.730669 | + | 0.421852i | −0.818667 | − | 0.574269i | \(-0.805286\pi\) |
0.0879981 | + | 0.996121i | \(0.471953\pi\) | |||||||
\(402\) | 16.4211 | − | 28.2806i | 0.819011 | − | 1.41051i | ||||
\(403\) | −1.76745 | − | 6.59620i | −0.0880428 | − | 0.328580i | ||||
\(404\) | 0.410198 | + | 1.63993i | 0.0204081 | + | 0.0815896i | ||||
\(405\) | −15.7939 | + | 4.63257i | −0.784803 | + | 0.230194i | ||||
\(406\) | 19.4121 | − | 10.9925i | 0.963405 | − | 0.545549i | ||||
\(407\) | 25.6038 | + | 14.7824i | 1.26913 | + | 0.732735i | ||||
\(408\) | −0.950044 | + | 3.29189i | −0.0470342 | + | 0.162973i | ||||
\(409\) | −14.9737 | + | 8.64508i | −0.740402 | + | 0.427471i | −0.822216 | − | 0.569176i | \(-0.807262\pi\) |
0.0818133 | + | 0.996648i | \(0.473929\pi\) | |||||||
\(410\) | −4.09280 | + | 6.95421i | −0.202129 | + | 0.343444i | ||||
\(411\) | −0.121483 | − | 20.6666i | −0.00599233 | − | 1.01941i | ||||
\(412\) | −18.5461 | + | 10.2986i | −0.913700 | + | 0.507375i | ||||
\(413\) | −28.1160 | + | 28.1160i | −1.38350 | + | 1.38350i | ||||
\(414\) | 17.0839 | + | 16.9679i | 0.839629 | + | 0.833926i | ||||
\(415\) | − | 2.18151i | − | 0.107086i | ||||||
\(416\) | 3.00737 | + | 5.75054i | 0.147449 | + | 0.281944i | ||||
\(417\) | −0.572508 | − | 2.08747i | −0.0280359 | − | 0.102224i | ||||
\(418\) | −23.4008 | + | 6.06131i | −1.14457 | + | 0.296468i | ||||
\(419\) | 0.788205 | − | 2.94162i | 0.0385063 | − | 0.143708i | −0.943996 | − | 0.329956i | \(-0.892966\pi\) |
0.982503 | + | 0.186248i | \(0.0596328\pi\) | |||||||
\(420\) | 4.79708 | − | 17.1582i | 0.234074 | − | 0.837235i | ||||
\(421\) | −2.38357 | − | 8.89561i | −0.116168 | − | 0.433546i | 0.883203 | − | 0.468990i | \(-0.155382\pi\) |
−0.999372 | + | 0.0354445i | \(0.988715\pi\) | |||||||
\(422\) | 19.8769 | − | 11.2558i | 0.967595 | − | 0.547922i | ||||
\(423\) | −8.68170 | − | 14.6370i | −0.422119 | − | 0.711676i | ||||
\(424\) | 0.446378 | − | 17.8186i | 0.0216780 | − | 0.865349i | ||||
\(425\) | −0.578900 | + | 1.00268i | −0.0280808 | + | 0.0486373i | ||||
\(426\) | −17.0692 | − | 4.61891i | −0.827006 | − | 0.223787i | ||||
\(427\) | −9.97350 | + | 37.2216i | −0.482651 | + | 1.80128i | ||||
\(428\) | −12.5824 | − | 13.0098i | −0.608194 | − | 0.628851i | ||||
\(429\) | −10.2875 | + | 6.02040i | −0.496685 | + | 0.290667i | ||||
\(430\) | −13.3218 | − | 13.5461i | −0.642434 | − | 0.653252i | ||||
\(431\) | 7.28002 | 0.350666 | 0.175333 | − | 0.984509i | \(-0.443900\pi\) | ||||
0.175333 | + | 0.984509i | \(0.443900\pi\) | |||||||
\(432\) | 0.327553 | − | 20.7820i | 0.0157594 | − | 0.999876i | ||||
\(433\) | −19.9763 | −0.960002 | −0.480001 | − | 0.877268i | \(-0.659364\pi\) | ||||
−0.480001 | + | 0.877268i | \(0.659364\pi\) | |||||||
\(434\) | −16.6003 | − | 16.8799i | −0.796842 | − | 0.810259i | ||||
\(435\) | −15.3346 | + | 8.97401i | −0.735236 | + | 0.430271i | ||||
\(436\) | 3.10237 | − | 3.00046i | 0.148577 | − | 0.143696i | ||||
\(437\) | 4.18539 | − | 15.6201i | 0.200214 | − | 0.747210i | ||||
\(438\) | −8.87935 | − | 2.40274i | −0.424272 | − | 0.114807i | ||||
\(439\) | 15.3133 | − | 26.5235i | 0.730866 | − | 1.26590i | −0.225647 | − | 0.974209i | \(-0.572450\pi\) |
0.956513 | − | 0.291688i | \(-0.0942170\pi\) | |||||||
\(440\) | −21.3852 | − | 22.4841i | −1.01950 | − | 1.07189i | ||||
\(441\) | −2.72633 | + | 0.0320532i | −0.129825 | + | 0.00152634i | ||||
\(442\) | 0.987334 | − | 0.559099i | 0.0469627 | − | 0.0265937i | ||||
\(443\) | 7.70884 | + | 28.7698i | 0.366258 | + | 1.36689i | 0.865708 | + | 0.500550i | \(0.166869\pi\) |
−0.499450 | + | 0.866343i | \(0.666464\pi\) | |||||||
\(444\) | 16.4419 | + | 4.59682i | 0.780300 | + | 0.218156i | ||||
\(445\) | −0.185467 | + | 0.692173i | −0.00879199 | + | 0.0328121i | ||||
\(446\) | −22.0136 | + | 5.70197i | −1.04237 | + | 0.269996i | ||||
\(447\) | −1.64771 | − | 6.00786i | −0.0779342 | − | 0.284162i | ||||
\(448\) | 18.8963 | + | 12.2105i | 0.892764 | + | 0.576893i | ||||
\(449\) | − | 26.8028i | − | 1.26490i | −0.774599 | − | 0.632452i | \(-0.782048\pi\) | ||
0.774599 | − | 0.632452i | \(-0.217952\pi\) | |||||||
\(450\) | 1.79470 | − | 6.79040i | 0.0846031 | − | 0.320103i | ||||
\(451\) | 13.2344 | − | 13.2344i | 0.623181 | − | 0.623181i | ||||
\(452\) | −6.44898 | − | 11.6136i | −0.303335 | − | 0.546256i | ||||
\(453\) | −0.110594 | − | 18.8141i | −0.00519616 | − | 0.883964i | ||||
\(454\) | 7.92347 | − | 13.4630i | 0.371867 | − | 0.631851i | ||||
\(455\) | −5.10961 | + | 2.95004i | −0.239542 | + | 0.138300i | ||||
\(456\) | −12.2204 | + | 6.74651i | −0.572272 | + | 0.315934i | ||||
\(457\) | −3.25342 | − | 1.87837i | −0.152189 | − | 0.0878662i | 0.421972 | − | 0.906609i | \(-0.361338\pi\) |
−0.574161 | + | 0.818743i | \(0.694671\pi\) | |||||||
\(458\) | −0.497588 | + | 0.281770i | −0.0232507 | + | 0.0131662i | ||||
\(459\) | −3.63351 | + | 0.0640819i | −0.169598 | + | 0.00299109i | ||||
\(460\) | 20.1378 | − | 5.03708i | 0.938928 | − | 0.234855i | ||||
\(461\) | 1.05208 | + | 3.92641i | 0.0490002 | + | 0.182871i | 0.986088 | − | 0.166221i | \(-0.0531566\pi\) |
−0.937088 | + | 0.349092i | \(0.886490\pi\) | |||||||
\(462\) | −20.7503 | + | 35.7364i | −0.965391 | + | 1.66261i | ||||
\(463\) | 20.2888 | − | 11.7137i | 0.942899 | − | 0.544383i | 0.0520310 | − | 0.998645i | \(-0.483431\pi\) |
0.890868 | + | 0.454263i | \(0.150097\pi\) | |||||||
\(464\) | −5.08018 | − | 21.8539i | −0.235842 | − | 1.01454i | ||||
\(465\) | 13.4112 | + | 13.2545i | 0.621930 | + | 0.614661i | ||||
\(466\) | −11.7218 | + | 11.5277i | −0.543003 | + | 0.534011i | ||||
\(467\) | 13.2570 | + | 13.2570i | 0.613463 | + | 0.613463i | 0.943847 | − | 0.330384i | \(-0.107178\pi\) |
−0.330384 | + | 0.943847i | \(0.607178\pi\) | |||||||
\(468\) | −4.89108 | + | 4.84298i | −0.226090 | + | 0.223867i | ||||
\(469\) | −26.5489 | + | 26.5489i | −1.22591 | + | 1.22591i | ||||
\(470\) | −14.6709 | − | 0.122485i | −0.676717 | − | 0.00564980i | ||||
\(471\) | 4.51977 | + | 16.4799i | 0.208260 | + | 0.759354i | ||||
\(472\) | 19.1216 | + | 35.1226i | 0.880145 | + | 1.61665i | ||||
\(473\) | 22.0339 | + | 38.1638i | 1.01312 | + | 1.75477i | ||||
\(474\) | −5.94153 | + | 5.91225i | −0.272904 | + | 0.271558i | ||||
\(475\) | −4.55631 | + | 1.22086i | −0.209058 | + | 0.0560169i | ||||
\(476\) | 2.02344 | − | 3.37335i | 0.0927443 | − | 0.154617i | ||||
\(477\) | 18.2025 | − | 5.10743i | 0.833434 | − | 0.233853i | ||||
\(478\) | 4.24372 | + | 1.17516i | 0.194103 | + | 0.0537506i | ||||
\(479\) | 17.6429 | − | 30.5584i | 0.806124 | − | 1.39625i | −0.109405 | − | 0.993997i | \(-0.534895\pi\) |
0.915529 | − | 0.402251i | \(-0.131772\pi\) | |||||||
\(480\) | −15.1867 | − | 9.50995i | −0.693175 | − | 0.434068i | ||||
\(481\) | −2.82689 | − | 4.89631i | −0.128895 | − | 0.223252i | ||||
\(482\) | 5.08274 | + | 19.6229i | 0.231512 | + | 0.893798i | ||||
\(483\) | −13.9627 | − | 23.8592i | −0.635326 | − | 1.08563i | ||||
\(484\) | 24.2603 | + | 43.6889i | 1.10274 | + | 1.98586i | ||||
\(485\) | 2.26403 | + | 2.26403i | 0.102804 | + | 0.102804i | ||||
\(486\) | 21.1695 | − | 6.15255i | 0.960266 | − | 0.279086i | ||||
\(487\) | −12.1433 | −0.550266 | −0.275133 | − | 0.961406i | \(-0.588722\pi\) | ||||
−0.275133 | + | 0.961406i | \(0.588722\pi\) | |||||||
\(488\) | 33.0679 | + | 20.2125i | 1.49692 | + | 0.914977i | ||||
\(489\) | 2.27376 | − | 8.68979i | 0.102823 | − | 0.392966i | ||||
\(490\) | −1.19223 | + | 2.02576i | −0.0538595 | + | 0.0915143i | ||||
\(491\) | −0.746514 | − | 0.200028i | −0.0336897 | − | 0.00902713i | 0.241935 | − | 0.970293i | \(-0.422218\pi\) |
−0.275625 | + | 0.961265i | \(0.588885\pi\) | |||||||
\(492\) | 5.50487 | − | 9.30086i | 0.248179 | − | 0.419315i | ||||
\(493\) | −3.78924 | + | 1.01532i | −0.170659 | + | 0.0457279i | ||||
\(494\) | 4.45505 | + | 1.23368i | 0.200442 | + | 0.0555059i | ||||
\(495\) | 16.1199 | − | 28.6944i | 0.724537 | − | 1.28972i | ||||
\(496\) | −21.0069 | + | 11.2103i | −0.943237 | + | 0.503359i | ||||
\(497\) | 17.5821 | + | 10.1510i | 0.788664 | + | 0.455335i | ||||
\(498\) | −0.00721845 | + | 2.92189i | −0.000323466 | + | 0.130933i | ||||
\(499\) | 0.785369 | + | 0.210439i | 0.0351579 | + | 0.00942054i | 0.276355 | − | 0.961056i | \(-0.410873\pi\) |
−0.241197 | + | 0.970476i | \(0.577540\pi\) | |||||||
\(500\) | −16.9234 | − | 17.4982i | −0.756837 | − | 0.782543i | ||||
\(501\) | 17.2476 | − | 30.2834i | 0.770565 | − | 1.35296i | ||||
\(502\) | −0.0511225 | + | 6.12331i | −0.00228171 | + | 0.273297i | ||||
\(503\) | − | 5.40486i | − | 0.240991i | −0.992714 | − | 0.120495i | \(-0.961552\pi\) | ||
0.992714 | − | 0.120495i | \(-0.0384483\pi\) | |||||||
\(504\) | −6.48193 | + | 22.9656i | −0.288728 | + | 1.02297i | ||||
\(505\) | 1.54576i | 0.0687852i | ||||||||
\(506\) | −48.1460 | − | 0.401964i | −2.14035 | − | 0.0178695i | ||||
\(507\) | −20.2369 | + | 0.118957i | −0.898751 | + | 0.00528308i | ||||
\(508\) | −27.6409 | − | 0.461572i | −1.22637 | − | 0.0204789i | ||||
\(509\) | −27.7030 | − | 7.42301i | −1.22792 | − | 0.329019i | −0.414148 | − | 0.910210i | \(-0.635920\pi\) |
−0.813768 | + | 0.581191i | \(0.802587\pi\) | |||||||
\(510\) | −1.57318 | + | 2.70935i | −0.0696615 | + | 0.119972i | ||||
\(511\) | 9.14614 | + | 5.28052i | 0.404601 | + | 0.233597i | ||||
\(512\) | 17.1559 | − | 14.7538i | 0.758192 | − | 0.652031i | ||||
\(513\) | −10.6522 | − | 10.2830i | −0.470307 | − | 0.454005i | ||||
\(514\) | 1.21186 | − | 4.37624i | 0.0534528 | − | 0.193028i | ||||
\(515\) | −18.7368 | + | 5.02052i | −0.825644 | + | 0.221231i | ||||
\(516\) | 17.7983 | + | 18.1876i | 0.783525 | + | 0.800665i | ||||
\(517\) | 32.8701 | + | 8.80753i | 1.44563 | + | 0.387355i | ||||
\(518\) | −16.8925 | − | 9.94183i | −0.742213 | − | 0.436819i | ||||
\(519\) | 12.8908 | + | 12.7401i | 0.565841 | + | 0.559228i | ||||
\(520\) | 1.39180 | + | 5.76845i | 0.0610345 | + | 0.252963i | ||||
\(521\) | −12.8208 | −0.561689 | −0.280845 | − | 0.959753i | \(-0.590615\pi\) | ||||
−0.280845 | + | 0.959753i | \(0.590615\pi\) | |||||||
\(522\) | 20.5687 | − | 11.9690i | 0.900265 | − | 0.523867i | ||||
\(523\) | −2.08204 | − | 2.08204i | −0.0910411 | − | 0.0910411i | 0.660120 | − | 0.751161i | \(-0.270506\pi\) |
−0.751161 | + | 0.660120i | \(0.770506\pi\) | |||||||
\(524\) | −17.8754 | − | 5.11108i | −0.780892 | − | 0.223278i | ||||
\(525\) | −3.99077 | + | 7.00701i | −0.174171 | + | 0.305811i | ||||
\(526\) | 4.16962 | − | 1.08002i | 0.181804 | − | 0.0470910i | ||||
\(527\) | 2.08161 | + | 3.60545i | 0.0906762 | + | 0.157056i | ||||
\(528\) | 28.5686 | + | 30.1858i | 1.24329 | + | 1.31367i | ||||
\(529\) | 4.60471 | − | 7.97560i | 0.200205 | − | 0.346765i | ||||
\(530\) | 4.34965 | − | 15.7074i | 0.188937 | − | 0.682285i | ||||
\(531\) | −29.6382 | + | 30.3434i | −1.28619 | + | 1.31679i | ||||
\(532\) | 15.5474 | − | 3.88888i | 0.674063 | − | 0.168604i | ||||
\(533\) | −3.45721 | + | 0.926356i | −0.149748 | + | 0.0401249i | ||||
\(534\) | 0.250703 | − | 0.926475i | 0.0108490 | − | 0.0400925i | ||||
\(535\) | −8.27485 | − | 14.3325i | −0.357753 | − | 0.619647i | ||||
\(536\) | 18.0559 | + | 33.1650i | 0.779894 | + | 1.43251i | ||||
\(537\) | 29.5129 | + | 7.72231i | 1.27358 | + | 0.333242i | ||||
\(538\) | 0.0333354 | − | 3.99281i | 0.00143719 | − | 0.172142i | ||||
\(539\) | 3.85515 | − | 3.85515i | 0.166053 | − | 0.166053i | ||||
\(540\) | 4.90178 | − | 18.3625i | 0.210939 | − | 0.790197i | ||||
\(541\) | 22.7002 | + | 22.7002i | 0.975956 | + | 0.975956i | 0.999718 | − | 0.0237613i | \(-0.00756417\pi\) |
−0.0237613 | + | 0.999718i | \(0.507564\pi\) | |||||||
\(542\) | 13.8189 | + | 14.0516i | 0.593572 | + | 0.603566i | ||||
\(543\) | 5.65542 | − | 21.6137i | 0.242697 | − | 0.927534i | ||||
\(544\) | −2.67833 | − | 2.91182i | −0.114833 | − | 0.124843i | ||||
\(545\) | 3.41779 | − | 1.97326i | 0.146402 | − | 0.0845253i | ||||
\(546\) | 6.85352 | − | 3.93434i | 0.293304 | − | 0.168374i | ||||
\(547\) | −5.33444 | − | 19.9084i | −0.228084 | − | 0.851222i | −0.981145 | − | 0.193271i | \(-0.938090\pi\) |
0.753061 | − | 0.657951i | \(-0.228576\pi\) | |||||||
\(548\) | 20.4648 | + | 12.2755i | 0.874214 | + | 0.524382i | ||||
\(549\) | −10.1718 | + | 39.8287i | −0.434120 | + | 1.69985i | ||||
\(550\) | 6.92045 | + | 12.2211i | 0.295089 | + | 0.521109i | ||||
\(551\) | −13.8413 | − | 7.99125i | −0.589657 | − | 0.340439i | ||||
\(552\) | −26.9890 | + | 6.67998i | −1.14873 | + | 0.284319i | ||||
\(553\) | 8.33402 | − | 4.81165i | 0.354399 | − | 0.204612i | ||||
\(554\) | −38.1381 | − | 22.4456i | −1.62033 | − | 0.953624i | ||||
\(555\) | 13.5652 | + | 7.72594i | 0.575813 | + | 0.327948i | ||||
\(556\) | 2.40311 | + | 0.687115i | 0.101915 | + | 0.0291402i | ||||
\(557\) | −10.7551 | + | 10.7551i | −0.455708 | + | 0.455708i | −0.897244 | − | 0.441535i | \(-0.854434\pi\) |
0.441535 | + | 0.897244i | \(0.354434\pi\) | |||||||
\(558\) | −17.9190 | − | 17.7973i | −0.758570 | − | 0.753418i | ||||
\(559\) | − | 8.42723i | − | 0.356434i | ||||||
\(560\) | 14.0530 | + | 15.0244i | 0.593849 | + | 0.634898i | ||||
\(561\) | 5.10809 | − | 5.16850i | 0.215664 | − | 0.218214i | ||||
\(562\) | −8.06697 | − | 31.1441i | −0.340285 | − | 1.31373i | ||||
\(563\) | −5.56420 | + | 20.7659i | −0.234503 | + | 0.875177i | 0.743869 | + | 0.668325i | \(0.232988\pi\) |
−0.978372 | + | 0.206852i | \(0.933678\pi\) | |||||||
\(564\) | 19.6496 | + | 0.212600i | 0.827398 | + | 0.00895205i | ||||
\(565\) | −3.14385 | − | 11.7330i | −0.132263 | − | 0.493611i | ||||
\(566\) | −1.70557 | − | 3.01192i | −0.0716904 | − | 0.126601i | ||||
\(567\) | −25.3034 | + | 0.595062i | −1.06264 | + | 0.0249902i | ||||
\(568\) | 14.7953 | − | 14.0721i | 0.620795 | − | 0.590452i | ||||
\(569\) | 1.88272 | − | 3.26097i | 0.0789277 | − | 0.136707i | −0.823860 | − | 0.566794i | \(-0.808184\pi\) |
0.902788 | + | 0.430087i | \(0.141517\pi\) | |||||||
\(570\) | −12.3373 | + | 3.27313i | −0.516754 | + | 0.137096i | ||||
\(571\) | −4.37466 | + | 16.3264i | −0.183074 | + | 0.683241i | 0.811961 | + | 0.583712i | \(0.198400\pi\) |
−0.995035 | + | 0.0995287i | \(0.968266\pi\) | |||||||
\(572\) | 0.229804 | − | 13.7617i | 0.00960861 | − | 0.575405i | ||||
\(573\) | −0.0360386 | − | 6.13083i | −0.00150553 | − | 0.256119i | ||||
\(574\) | −8.84709 | + | 8.70059i | −0.369270 | + | 0.363156i | ||||
\(575\) | −9.39535 | −0.391813 | ||||||||
\(576\) | 20.3094 | + | 12.7878i | 0.846226 | + | 0.532824i | ||||
\(577\) | −9.76787 | −0.406642 | −0.203321 | − | 0.979112i | \(-0.565173\pi\) | ||||
−0.203321 | + | 0.979112i | \(0.565173\pi\) | |||||||
\(578\) | 16.6481 | − | 16.3725i | 0.692471 | − | 0.681004i | ||||
\(579\) | −22.3654 | − | 12.7380i | −0.929473 | − | 0.529371i | ||||
\(580\) | 0.342547 | − | 20.5132i | 0.0142235 | − | 0.851765i | ||||
\(581\) | 0.868246 | − | 3.24034i | 0.0360209 | − | 0.134432i | ||||
\(582\) | −3.02493 | − | 3.03991i | −0.125387 | − | 0.126008i | ||||
\(583\) | −18.9019 | + | 32.7390i | −0.782835 | + | 1.35591i | ||||
\(584\) | 7.69644 | − | 7.32026i | 0.318481 | − | 0.302914i | ||||
\(585\) | −5.41333 | + | 3.21083i | −0.223814 | + | 0.132751i | ||||
\(586\) | −5.43266 | − | 9.59372i | −0.224421 | − | 0.396313i | ||||
\(587\) | −5.94132 | − | 22.1733i | −0.245224 | − | 0.915190i | −0.973271 | − | 0.229662i | \(-0.926238\pi\) |
0.728046 | − | 0.685528i | \(-0.240429\pi\) | |||||||
\(588\) | 1.60356 | − | 2.70933i | 0.0661298 | − | 0.111731i | ||||
\(589\) | −4.38996 | + | 16.3836i | −0.180885 | + | 0.675073i | ||||
\(590\) | 9.16912 | + | 35.3992i | 0.377487 | + | 1.45736i | ||||
\(591\) | 28.2245 | + | 7.38518i | 1.16100 | + | 0.303786i | ||||
\(592\) | −14.3972 | + | 13.4664i | −0.591723 | + | 0.553465i | ||||
\(593\) | − | 1.37926i | − | 0.0566394i | −0.999599 | − | 0.0283197i | \(-0.990984\pi\) | ||
0.999599 | − | 0.0283197i | \(-0.00901564\pi\) | |||||||
\(594\) | −21.6858 | + | 38.3796i | −0.889779 | + | 1.57473i | ||||
\(595\) | 2.54344 | − | 2.54344i | 0.104271 | − | 0.104271i | ||||
\(596\) | 6.91629 | + | 1.97756i | 0.283302 | + | 0.0810039i | ||||
\(597\) | −23.3177 | + | 13.6459i | −0.954330 | + | 0.558488i | ||||
\(598\) | 7.93518 | + | 4.67014i | 0.324494 | + | 0.190976i | ||||
\(599\) | 26.6820 | − | 15.4049i | 1.09020 | − | 0.629425i | 0.156568 | − | 0.987667i | \(-0.449957\pi\) |
0.933629 | + | 0.358242i | \(0.116624\pi\) | |||||||
\(600\) | 5.62375 | + | 5.84358i | 0.229589 | + | 0.238563i | ||||
\(601\) | 2.43951 | + | 1.40845i | 0.0995098 | + | 0.0574520i | 0.548929 | − | 0.835869i | \(-0.315036\pi\) |
−0.449419 | + | 0.893321i | \(0.648369\pi\) | |||||||
\(602\) | −14.3963 | − | 25.4230i | −0.586751 | − | 1.03616i | ||||
\(603\) | −27.9862 | + | 28.6521i | −1.13969 | + | 1.16680i | ||||
\(604\) | 18.6304 | + | 11.1751i | 0.758062 | + | 0.454710i | ||||
\(605\) | 11.8268 | + | 44.1382i | 0.480828 | + | 1.79447i | ||||
\(606\) | 0.00511478 | − | 2.07037i | 0.000207774 | − | 0.0841030i | ||||
\(607\) | 26.2297 | − | 15.1437i | 1.06463 | − | 0.614666i | 0.137922 | − | 0.990443i | \(-0.455958\pi\) |
0.926710 | + | 0.375777i | \(0.122624\pi\) | |||||||
\(608\) | 0.672641 | − | 16.1044i | 0.0272792 | − | 0.653120i | ||||
\(609\) | −26.3491 | + | 7.22648i | −1.06772 | + | 0.292832i | ||||
\(610\) | 24.8488 | + | 25.2673i | 1.00610 | + | 1.02304i | ||||
\(611\) | −4.60158 | − | 4.60158i | −0.186160 | − | 0.186160i | ||||
\(612\) | 2.11606 | − | 3.62366i | 0.0855368 | − | 0.146478i | ||||
\(613\) | 3.66344 | − | 3.66344i | 0.147965 | − | 0.147965i | −0.629243 | − | 0.777208i | \(-0.716635\pi\) |
0.777208 | + | 0.629243i | \(0.216635\pi\) | |||||||
\(614\) | −0.402118 | + | 48.1645i | −0.0162282 | + | 1.94376i | ||||
\(615\) | 6.94694 | − | 7.02910i | 0.280128 | − | 0.283441i | ||||
\(616\) | −22.8160 | − | 41.9084i | −0.919282 | − | 1.68854i | ||||
\(617\) | −13.2053 | − | 22.8722i | −0.531624 | − | 0.920799i | −0.999319 | − | 0.0369091i | \(-0.988249\pi\) |
0.467695 | − | 0.883890i | \(-0.345085\pi\) | |||||||
\(618\) | 25.1125 | − | 6.66243i | 1.01017 | − | 0.268002i | ||||
\(619\) | 47.2262 | − | 12.6542i | 1.89818 | − | 0.508617i | 0.900981 | − | 0.433858i | \(-0.142848\pi\) |
0.997202 | − | 0.0747583i | \(-0.0238185\pi\) | |||||||
\(620\) | −21.1221 | + | 5.28329i | −0.848282 | + | 0.212182i | ||||
\(621\) | −15.1930 | − | 25.2750i | −0.609674 | − | 1.01425i | ||||
\(622\) | 3.96218 | − | 14.3081i | 0.158869 | − | 0.573704i | ||||
\(623\) | −0.550972 | + | 0.954312i | −0.0220742 | + | 0.0382337i | ||||
\(624\) | −1.84508 | − | 7.73080i | −0.0738622 | − | 0.309480i | ||||
\(625\) | −6.99103 | − | 12.1088i | −0.279641 | − | 0.484353i | ||||
\(626\) | 30.2538 | − | 7.83636i | 1.20918 | − | 0.313204i | ||||
\(627\) | 29.6054 | − | 0.174028i | 1.18232 | − | 0.00695000i | ||||
\(628\) | −18.9718 | − | 5.42455i | −0.757057 | − | 0.216463i | ||||
\(629\) | 2.43726 | + | 2.43726i | 0.0971799 | + | 0.0971799i | ||||
\(630\) | −10.8457 | + | 18.9340i | −0.432102 | + | 0.754348i | ||||
\(631\) | −36.5500 | −1.45503 | −0.727516 | − | 0.686090i | \(-0.759325\pi\) | ||||
−0.727516 | + | 0.686090i | \(0.759325\pi\) | |||||||
\(632\) | −2.27009 | − | 9.40861i | −0.0902995 | − | 0.374254i | ||||
\(633\) | −26.9801 | + | 7.39954i | −1.07236 | + | 0.294105i | ||||
\(634\) | −26.9169 | − | 15.8416i | −1.06901 | − | 0.629150i | ||||
\(635\) | −24.4171 | − | 6.54255i | −0.968964 | − | 0.259633i | ||||
\(636\) | −5.87785 | + | 21.0239i | −0.233072 | + | 0.833653i | ||||
\(637\) | −1.00708 | + | 0.269847i | −0.0399020 | + | 0.0106917i | ||||
\(638\) | −12.6995 | + | 45.8603i | −0.502779 | + | 1.81563i | ||||
\(639\) | 18.8818 | + | 10.6074i | 0.746952 | + | 0.419623i | ||||
\(640\) | 18.4922 | − | 9.28105i | 0.730969 | − | 0.366866i | ||||
\(641\) | −5.95425 | − | 3.43769i | −0.235179 | − | 0.135780i | 0.377780 | − | 0.925895i | \(-0.376688\pi\) |
−0.612959 | + | 0.790115i | \(0.710021\pi\) | |||||||
\(642\) | 11.0358 | + | 19.2241i | 0.435549 | + | 0.758716i | ||||
\(643\) | 28.3564 | + | 7.59808i | 1.11827 | + | 0.299639i | 0.770183 | − | 0.637823i | \(-0.220165\pi\) |
0.348086 | + | 0.937463i | \(0.386832\pi\) | |||||||
\(644\) | 31.9167 | + | 0.532971i | 1.25769 | + | 0.0210020i | ||||
\(645\) | 11.7528 | + | 20.0829i | 0.462766 | + | 0.790764i | ||||
\(646\) | −2.81812 | − | 0.0235281i | −0.110878 | − | 0.000925699i | ||||
\(647\) | 1.90726i | 0.0749821i | 0.999297 | + | 0.0374911i | \(0.0119366\pi\) | ||||
−0.999297 | + | 0.0374911i | \(0.988063\pi\) | |||||||
\(648\) | −6.62615 | + | 24.5783i | −0.260300 | + | 0.965528i | ||||
\(649\) | − | 84.8166i | − | 3.32934i | ||||||
\(650\) | 0.0224223 | − | 2.68568i | 0.000879476 | − | 0.105341i | ||||
\(651\) | 14.6452 | + | 25.0254i | 0.573991 | + | 0.980821i | ||||
\(652\) | 7.21058 | + | 7.45548i | 0.282388 | + | 0.291979i | ||||
\(653\) | −22.1710 | − | 5.94070i | −0.867618 | − | 0.232478i | −0.202560 | − | 0.979270i | \(-0.564926\pi\) |
−0.665057 | + | 0.746792i | \(0.731593\pi\) | |||||||
\(654\) | −4.58428 | + | 2.63166i | −0.179260 | + | 0.102906i | ||||
\(655\) | −14.7228 | − | 8.50019i | −0.575266 | − | 0.332130i | ||||
\(656\) | 5.87558 | + | 11.0102i | 0.229403 | + | 0.429874i | ||||
\(657\) | 9.82224 | + | 5.51794i | 0.383202 | + | 0.215275i | ||||
\(658\) | −21.7428 | − | 6.02097i | −0.847624 | − | 0.234722i | ||||
\(659\) | −14.4059 | + | 3.86006i | −0.561175 | + | 0.150366i | −0.528246 | − | 0.849091i | \(-0.677150\pi\) |
−0.0329291 | + | 0.999458i | \(0.510484\pi\) | |||||||
\(660\) | 18.6447 | + | 33.1159i | 0.725745 | + | 1.28904i | ||||
\(661\) | −36.4336 | − | 9.76236i | −1.41710 | − | 0.379712i | −0.532648 | − | 0.846337i | \(-0.678803\pi\) |
−0.884455 | + | 0.466625i | \(0.845470\pi\) | |||||||
\(662\) | 2.35210 | − | 3.99653i | 0.0914170 | − | 0.155329i | ||||
\(663\) | −1.34016 | + | 0.367552i | −0.0520476 | + | 0.0142745i | ||||
\(664\) | −2.87874 | − | 1.75961i | −0.111717 | − | 0.0682860i | ||||
\(665\) | 14.6545 | 0.568278 | ||||||||
\(666\) | −18.1436 | − | 10.3929i | −0.703049 | − | 0.402718i | ||||
\(667\) | −22.5099 | − | 22.5099i | −0.871586 | − | 0.871586i | ||||
\(668\) | 19.5363 | + | 35.1817i | 0.755882 | + | 1.36122i | ||||
\(669\) | 27.8503 | − | 0.163711i | 1.07675 | − | 0.00632943i | ||||
\(670\) | 8.65806 | + | 33.4261i | 0.334490 | + | 1.29136i | ||||
\(671\) | −41.0993 | − | 71.1860i | −1.58662 | − | 2.74811i | ||||
\(672\) | −18.7728 | − | 20.1701i | −0.724176 | − | 0.778077i | ||||
\(673\) | −11.2966 | + | 19.5664i | −0.435454 | + | 0.754228i | −0.997333 | − | 0.0729916i | \(-0.976745\pi\) |
0.561879 | + | 0.827220i | \(0.310079\pi\) | |||||||
\(674\) | −31.5409 | − | 8.73421i | −1.21491 | − | 0.336429i | ||||
\(675\) | −4.16901 | + | 7.52430i | −0.160465 | + | 0.289611i | ||||
\(676\) | 12.0202 | − | 20.0393i | 0.462317 | − | 0.770743i | ||||
\(677\) | 30.3860 | − | 8.14191i | 1.16783 | − | 0.312919i | 0.377741 | − | 0.925911i | \(-0.376701\pi\) |
0.790089 | + | 0.612992i | \(0.210034\pi\) | |||||||
\(678\) | 4.17202 | + | 15.7255i | 0.160225 | + | 0.603933i | ||||
\(679\) | 2.46182 | + | 4.26400i | 0.0944760 | + | 0.163637i | ||||
\(680\) | −1.72979 | − | 3.17728i | −0.0663344 | − | 0.121843i | ||||
\(681\) | −13.4489 | + | 13.6080i | −0.515365 | + | 0.521459i | ||||
\(682\) | 50.4993 | + | 0.421611i | 1.93372 | + | 0.0161443i | ||||
\(683\) | −24.1502 | + | 24.1502i | −0.924081 | + | 0.924081i | −0.997315 | − | 0.0732336i | \(-0.976668\pi\) |
0.0732336 | + | 0.997315i | \(0.476668\pi\) | |||||||
\(684\) | 16.5353 | − | 4.34317i | 0.632243 | − | 0.166065i | ||||
\(685\) | 15.4301 | + | 15.4301i | 0.589553 | + | 0.589553i | ||||
\(686\) | 17.2724 | − | 16.9864i | 0.659462 | − | 0.648542i | ||||
\(687\) | 0.675403 | − | 0.185236i | 0.0257682 | − | 0.00706718i | ||||
\(688\) | −28.6209 | + | 6.65326i | −1.09116 | + | 0.253653i | ||||
\(689\) | 6.26079 | − | 3.61467i | 0.238517 | − | 0.137708i | ||||
\(690\) | −25.4234 | − | 0.0628077i | −0.967852 | − | 0.00239105i | ||||
\(691\) | −10.7138 | − | 39.9843i | −0.407571 | − | 1.52108i | −0.799264 | − | 0.600980i | \(-0.794777\pi\) |
0.391693 | − | 0.920096i | \(-0.371889\pi\) | |||||||
\(692\) | −20.3024 | + | 5.07826i | −0.771781 | + | 0.193046i | ||||
\(693\) | 35.3643 | − | 36.2058i | 1.34338 | − | 1.37534i | ||||
\(694\) | 9.66981 | − | 5.47574i | 0.367061 | − | 0.207856i | ||||
\(695\) | 1.97928 | + | 1.14273i | 0.0750782 | + | 0.0433464i | ||||
\(696\) | −0.526680 | + | 27.4740i | −0.0199638 | + | 1.04140i | ||||
\(697\) | 1.88969 | − | 1.09101i | 0.0715772 | − | 0.0413251i | ||||
\(698\) | 15.5794 | − | 26.4715i | 0.589690 | − | 1.00196i | ||||
\(699\) | 17.3783 | − | 10.1700i | 0.657307 | − | 0.384666i | ||||
\(700\) | −4.52034 | − | 8.14039i | −0.170853 | − | 0.307678i | ||||
\(701\) | 21.1814 | − | 21.1814i | 0.800009 | − | 0.800009i | −0.183088 | − | 0.983097i | \(-0.558609\pi\) |
0.983097 | + | 0.183088i | \(0.0586092\pi\) | |||||||
\(702\) | 7.26118 | − | 4.28264i | 0.274056 | − | 0.161638i | ||||
\(703\) | 14.0428i | 0.529633i | ||||||||
\(704\) | −46.9195 | + | 10.0843i | −1.76834 | + | 0.380067i | ||||
\(705\) | 17.3835 | + | 4.54854i | 0.654699 | + | 0.171308i | ||||
\(706\) | −0.172085 | + | 0.0445735i | −0.00647649 | + | 0.00167755i | ||||
\(707\) | −0.615214 | + | 2.29601i | −0.0231375 | + | 0.0863503i | ||||
\(708\) | −12.1639 | − | 47.4436i | −0.457147 | − | 1.78304i | ||||
\(709\) | 4.24787 | + | 15.8532i | 0.159532 | + | 0.595381i | 0.998675 | + | 0.0514698i | \(0.0163906\pi\) |
−0.839143 | + | 0.543911i | \(0.816943\pi\) | |||||||
\(710\) | 16.2469 | − | 9.20014i | 0.609734 | − | 0.345275i | ||||
\(711\) | 8.82940 | − | 5.23701i | 0.331128 | − | 0.196403i | ||||
\(712\) | 0.763799 | + | 0.803050i | 0.0286246 | + | 0.0300956i | ||||
\(713\) | −16.8919 | + | 29.2576i | −0.632606 | + | 1.09571i | ||||
\(714\) | −3.41507 | + | 3.39823i | −0.127806 | + | 0.127176i | ||||
\(715\) | 3.25736 | − | 12.1566i | 0.121819 | − | 0.454633i | ||||
\(716\) | −25.3208 | + | 24.4891i | −0.946284 | + | 0.915200i | ||||
\(717\) | −4.68631 | − | 2.66904i | −0.175014 | − | 0.0996771i | ||||
\(718\) | −4.03999 | − | 4.10801i | −0.150771 | − | 0.153310i | ||||
\(719\) | 23.3461 | 0.870664 | 0.435332 | − | 0.900270i | \(-0.356631\pi\) | ||||
0.435332 | + | 0.900270i | \(0.356631\pi\) | |||||||
\(720\) | 15.1785 | + | 15.8501i | 0.565671 | + | 0.590697i | ||||
\(721\) | −29.8292 | −1.11090 | ||||||||
\(722\) | 10.7899 | + | 10.9716i | 0.401558 | + | 0.408320i | ||||
\(723\) | −0.145932 | − | 24.8257i | −0.00542726 | − | 0.923278i | ||||
\(724\) | 17.9345 | + | 18.5437i | 0.666532 | + | 0.689171i | ||||
\(725\) | −2.40334 | + | 8.96937i | −0.0892576 | + | 0.333114i | ||||
\(726\) | −15.6946 | − | 59.1574i | −0.582483 | − | 2.19554i | ||||
\(727\) | −2.90255 | + | 5.02736i | −0.107650 | + | 0.186454i | −0.914818 | − | 0.403867i | \(-0.867666\pi\) |
0.807168 | + | 0.590322i | \(0.200999\pi\) | |||||||
\(728\) | −0.228521 | + | 9.12218i | −0.00846956 | + | 0.338090i | ||||
\(729\) | −26.9832 | + | 0.952068i | −0.999378 | + | 0.0352618i | ||||
\(730\) | 8.45156 | − | 4.78588i | 0.312806 | − | 0.177133i | ||||
\(731\) | 1.32972 | + | 4.96258i | 0.0491814 | + | 0.183548i | ||||
\(732\) | −33.1987 | − | 33.9249i | −1.22706 | − | 1.25390i | ||||
\(733\) | −0.240792 | + | 0.898647i | −0.00889384 | + | 0.0331923i | −0.970230 | − | 0.242185i | \(-0.922136\pi\) |
0.961336 | + | 0.275377i | \(0.0888027\pi\) | |||||||
\(734\) | 7.84579 | − | 2.03222i | 0.289593 | − | 0.0750107i | ||||
\(735\) | 2.02364 | − | 2.04757i | 0.0746430 | − | 0.0755257i | ||||
\(736\) | 9.59614 | − | 30.6368i | 0.353718 | − | 1.12929i | ||||
\(737\) | − | 80.0891i | − | 2.95012i | ||||||
\(738\) | −9.32792 | + | 9.39171i | −0.343365 | + | 0.345714i | ||||
\(739\) | 5.91328 | − | 5.91328i | 0.217523 | − | 0.217523i | −0.589931 | − | 0.807454i | \(-0.700845\pi\) |
0.807454 | + | 0.589931i | \(0.200845\pi\) | |||||||
\(740\) | −15.7594 | + | 8.75116i | −0.579327 | + | 0.321699i | ||||
\(741\) | −4.91968 | − | 2.80195i | −0.180729 | − | 0.102932i | ||||
\(742\) | 12.7124 | − | 21.6000i | 0.466686 | − | 0.792961i | ||||
\(743\) | 20.3899 | − | 11.7721i | 0.748032 | − | 0.431876i | −0.0769504 | − | 0.997035i | \(-0.524518\pi\) |
0.824982 | + | 0.565158i | \(0.191185\pi\) | |||||||
\(744\) | 28.3081 | − | 7.00648i | 1.03783 | − | 0.256870i | ||||
\(745\) | 5.69647 | + | 3.28886i | 0.208703 | + | 0.120494i | ||||
\(746\) | 25.1502 | − | 14.2418i | 0.920814 | − | 0.521431i | ||||
\(747\) | 0.885505 | − | 3.46730i | 0.0323989 | − | 0.126862i | ||||
\(748\) | 2.03611 | + | 8.14017i | 0.0744475 | + | 0.297634i | ||||
\(749\) | −6.58682 | − | 24.5823i | −0.240677 | − | 0.898219i | ||||
\(750\) | 14.8432 | + | 25.8565i | 0.541998 | + | 0.944147i | ||||
\(751\) | −13.0649 | + | 7.54301i | −0.476744 | + | 0.275248i | −0.719059 | − | 0.694949i | \(-0.755427\pi\) |
0.242315 | + | 0.970198i | \(0.422093\pi\) | |||||||
\(752\) | −11.9951 | + | 19.2610i | −0.437418 | + | 0.702376i | ||||
\(753\) | 1.89846 | − | 7.25549i | 0.0691838 | − | 0.264405i | ||||
\(754\) | 6.48822 | − | 6.38078i | 0.236287 | − | 0.232374i | ||||
\(755\) | 14.0470 | + | 14.0470i | 0.511222 | + | 0.511222i | ||||
\(756\) | 14.5892 | − | 25.3241i | 0.530605 | − | 0.921028i | ||||
\(757\) | 4.48920 | − | 4.48920i | 0.163163 | − | 0.163163i | −0.620803 | − | 0.783966i | \(-0.713193\pi\) |
0.783966 | + | 0.620803i | \(0.213193\pi\) | |||||||
\(758\) | −5.70527 | − | 0.0476324i | −0.207225 | − | 0.00173009i | ||||
\(759\) | 57.0481 | + | 14.9271i | 2.07071 | + | 0.541821i | ||||
\(760\) | 4.17000 | − | 14.1365i | 0.151262 | − | 0.512786i | ||||
\(761\) | 19.0628 | + | 33.0177i | 0.691025 | + | 1.19689i | 0.971502 | + | 0.237030i | \(0.0761739\pi\) |
−0.280477 | + | 0.959861i | \(0.590493\pi\) | |||||||
\(762\) | 32.6824 | + | 8.84382i | 1.18396 | + | 0.320378i | ||||
\(763\) | 5.86202 | − | 1.57072i | 0.212219 | − | 0.0568640i | ||||
\(764\) | 6.07099 | + | 3.64157i | 0.219641 | + | 0.131747i | ||||
\(765\) | 2.68114 | − | 2.74493i | 0.0969368 | − | 0.0992433i | ||||
\(766\) | 21.2270 | + | 5.87813i | 0.766963 | + | 0.212385i | ||||
\(767\) | −8.10989 | + | 14.0467i | −0.292831 | + | 0.507198i | ||||
\(768\) | −24.7990 | + | 12.3697i | −0.894856 | + | 0.446355i | ||||
\(769\) | 17.5683 | + | 30.4291i | 0.633528 | + | 1.09730i | 0.986825 | + | 0.161791i | \(0.0517271\pi\) |
−0.353297 | + | 0.935511i | \(0.614940\pi\) | |||||||
\(770\) | −10.9406 | − | 42.2384i | −0.394273 | − | 1.52217i | ||||
\(771\) | −2.75238 | + | 4.83265i | −0.0991247 | + | 0.174044i | ||||
\(772\) | 25.9829 | − | 14.4283i | 0.935146 | − | 0.519285i | ||||
\(773\) | −23.4773 | − | 23.4773i | −0.844420 | − | 0.844420i | 0.145010 | − | 0.989430i | \(-0.453678\pi\) |
−0.989430 | + | 0.145010i | \(0.953678\pi\) | |||||||
\(774\) | −15.6751 | − | 26.9377i | −0.563431 | − | 0.968256i | ||||
\(775\) | 9.85458 | 0.353987 | ||||||||
\(776\) | 4.81380 | − | 1.16147i | 0.172805 | − | 0.0416942i | ||||
\(777\) | 17.0744 | + | 16.8748i | 0.612540 | + | 0.605381i | ||||
\(778\) | −20.0199 | + | 34.0164i | −0.717747 | + | 1.21955i | ||||
\(779\) | 8.58698 | + | 2.30087i | 0.307660 | + | 0.0824374i | ||||
\(780\) | 0.0786275 | − | 7.26718i | 0.00281532 | − | 0.260207i | ||||
\(781\) | −41.8308 | + | 11.2085i | −1.49682 | + | 0.401073i | ||||
\(782\) | −5.40972 | − | 1.49805i | −0.193451 | − | 0.0535700i | ||||
\(783\) | −28.0155 | + | 8.03880i | −1.00119 | + | 0.287283i | ||||
\(784\) | 1.71155 | + | 3.20725i | 0.0611268 | + | 0.114545i | ||||
\(785\) | −15.6257 | − | 9.02153i | −0.557707 | − | 0.321992i | ||||
\(786\) | 19.6914 | + | 11.4338i | 0.702368 | + | 0.407829i | ||||
\(787\) | −0.208763 | − | 0.0559379i | −0.00744160 | − | 0.00199397i | 0.255096 | − | 0.966916i | \(-0.417893\pi\) |
−0.262538 | + | 0.964922i | \(0.584559\pi\) | |||||||
\(788\) | −24.2154 | + | 23.4200i | −0.862639 | + | 0.834302i | ||||
\(789\) | −5.27515 | + | 0.0310087i | −0.187800 | + | 0.00110394i | ||||
\(790\) | 0.0738858 | − | 8.84983i | 0.00262874 | − | 0.314863i | ||||
\(791\) | − | 18.6790i | − | 0.664150i | ||||||
\(792\) | −24.8630 | − | 44.4168i | −0.883467 | − | 1.57828i | ||||
\(793\) | 15.7191i | 0.558202i | ||||||||
\(794\) | 54.8389 | + | 0.457841i | 1.94616 | + | 0.0162482i | ||||
\(795\) | −9.87897 | + | 17.3456i | −0.350371 | + | 0.615183i | ||||
\(796\) | 0.520876 | − | 31.1923i | 0.0184619 | − | 1.10558i | ||||
\(797\) | −2.95273 | − | 0.791183i | −0.104591 | − | 0.0280251i | 0.206144 | − | 0.978522i | \(-0.433909\pi\) |
−0.310735 | + | 0.950497i | \(0.600575\pi\) | |||||||
\(798\) | −19.6281 | − | 0.0484907i | −0.694828 | − | 0.00171655i | ||||
\(799\) | 3.43583 | + | 1.98367i | 0.121551 | + | 0.0701774i | ||||
\(800\) | −9.13893 | + | 2.04418i | −0.323110 | + | 0.0722727i | ||||
\(801\) | −0.575744 | + | 1.02486i | −0.0203429 | + | 0.0362115i | ||||
\(802\) | −6.37652 | + | 23.0268i | −0.225163 | + | 0.813103i | ||||
\(803\) | −21.7602 | + | 5.83064i | −0.767902 | + | 0.205759i | ||||
\(804\) | −11.4859 | − | 44.7992i | −0.405077 | − | 1.57995i | ||||
\(805\) | 28.1942 | + | 7.55460i | 0.993714 | + | 0.266265i | ||||
\(806\) | −8.32304 | − | 4.89841i | −0.293167 | − | 0.172539i | ||||
\(807\) | −1.23793 | + | 4.73107i | −0.0435771 | + | 0.166542i | ||||
\(808\) | 2.03979 | + | 1.24681i | 0.0717596 | + | 0.0438625i | ||||
\(809\) | 42.5506 | 1.49600 | 0.748000 | − | 0.663699i | \(-0.231014\pi\) | ||||
0.748000 | + | 0.663699i | \(0.231014\pi\) | |||||||
\(810\) | −11.3314 | + | 20.3325i | −0.398146 | + | 0.714413i | ||||
\(811\) | 15.1448 | + | 15.1448i | 0.531806 | + | 0.531806i | 0.921109 | − | 0.389304i | \(-0.127284\pi\) |
−0.389304 | + | 0.921109i | \(0.627284\pi\) | |||||||
\(812\) | 8.67310 | − | 30.3332i | 0.304366 | − | 1.06449i | ||||
\(813\) | −12.1913 | − | 20.8323i | −0.427569 | − | 0.730619i | ||||
\(814\) | 40.4751 | − | 10.4839i | 1.41865 | − | 0.367461i | ||||
\(815\) | 4.74206 | + | 8.21348i | 0.166107 | + | 0.287706i | ||||
\(816\) | 2.30635 | + | 4.26134i | 0.0807383 | + | 0.149177i | ||||
\(817\) | −10.4657 | + | 18.1272i | −0.366150 | + | 0.634190i | ||||
\(818\) | −6.52560 | + | 23.5651i | −0.228162 | + | 0.823935i | ||||
\(819\) | −9.31868 | + | 2.61473i | −0.325621 | + | 0.0913660i | ||||
\(820\) | 2.76908 | + | 11.0705i | 0.0967006 | + | 0.386599i | ||||
\(821\) | 26.6973 | − | 7.15352i | 0.931742 | − | 0.249660i | 0.239145 | − | 0.970984i | \(-0.423133\pi\) |
0.692598 | + | 0.721324i | \(0.256466\pi\) | |||||||
\(822\) | −20.6158 | − | 20.7179i | −0.719059 | − | 0.722621i | ||||
\(823\) | −10.1921 | − | 17.6532i | −0.355273 | − | 0.615350i | 0.631892 | − | 0.775057i | \(-0.282279\pi\) |
−0.987165 | + | 0.159706i | \(0.948945\pi\) | |||||||
\(824\) | −8.48801 | + | 28.7748i | −0.295694 | + | 1.00242i | ||||
\(825\) | −4.54951 | − | 16.5883i | −0.158394 | − | 0.577532i | ||||
\(826\) | −0.469455 | + | 56.2300i | −0.0163344 | + | 1.95649i | ||||
\(827\) | 8.34698 | − | 8.34698i | 0.290253 | − | 0.290253i | −0.546927 | − | 0.837180i | \(-0.684203\pi\) |
0.837180 | + | 0.546927i | \(0.184203\pi\) | |||||||
\(828\) | 34.0516 | + | 0.168248i | 1.18337 | + | 0.00584702i | ||||
\(829\) | −2.48126 | − | 2.48126i | −0.0861778 | − | 0.0861778i | 0.662704 | − | 0.748882i | \(-0.269409\pi\) |
−0.748882 | + | 0.662704i | \(0.769409\pi\) | |||||||
\(830\) | −2.16322 | − | 2.19965i | −0.0750866 | − | 0.0763509i | ||||
\(831\) | 38.5488 | + | 38.0982i | 1.33724 | + | 1.32161i | ||||
\(832\) | 8.73471 | + | 2.81619i | 0.302822 | + | 0.0976339i | ||||
\(833\) | 0.550465 | − | 0.317811i | 0.0190725 | − | 0.0110115i | ||||
\(834\) | −2.64724 | − | 1.53712i | −0.0916664 | − | 0.0532260i | ||||
\(835\) | 9.52386 | + | 35.5435i | 0.329587 | + | 1.23004i | ||||
\(836\) | −17.5849 | + | 29.3164i | −0.608186 | + | 1.01393i | ||||
\(837\) | 15.9356 | + | 26.5104i | 0.550815 | + | 0.916335i | ||||
\(838\) | −2.12220 | − | 3.74767i | −0.0733103 | − | 0.129461i | ||||
\(839\) | −17.7430 | − | 10.2439i | −0.612558 | − | 0.353660i | 0.161408 | − | 0.986888i | \(-0.448396\pi\) |
−0.773966 | + | 0.633227i | \(0.781730\pi\) | |||||||
\(840\) | −12.1774 | − | 22.0577i | −0.420160 | − | 0.761064i | ||||
\(841\) | −2.13260 | + | 1.23126i | −0.0735380 | + | 0.0424572i | ||||
\(842\) | −11.2244 | − | 6.60598i | −0.386819 | − | 0.227657i | ||||
\(843\) | 0.231613 | + | 39.4017i | 0.00797717 | + | 1.35707i | ||||
\(844\) | 8.88080 | − | 31.0596i | 0.305690 | − | 1.06912i | ||||
\(845\) | 15.1092 | − | 15.1092i | 0.519774 | − | 0.519774i | ||||
\(846\) | −23.2682 | − | 6.14978i | −0.799977 | − | 0.211434i | ||||
\(847\) | 70.2684i | 2.41445i | ||||||||
\(848\) | −17.2192 | − | 18.4094i | −0.591308 | − | 0.632182i | ||||
\(849\) | 1.12124 | + | 4.08825i | 0.0384809 | + | 0.140308i | ||||
\(850\) | 0.410565 | + | 1.58507i | 0.0140823 | + | 0.0543673i | ||||
\(851\) | −7.23923 | + | 27.0172i | −0.248158 | + | 0.926137i | ||||
\(852\) | −21.7913 | + | 12.2688i | −0.746558 | + | 0.420322i | ||||
\(853\) | 4.06296 | + | 15.1632i | 0.139113 | + | 0.519177i | 0.999947 | + | 0.0102909i | \(0.00327574\pi\) |
−0.860834 | + | 0.508886i | \(0.830058\pi\) | |||||||
\(854\) | 26.8531 | + | 47.4209i | 0.918896 | + | 1.62271i | ||||
\(855\) | 15.6317 | − | 0.183781i | 0.534594 | − | 0.00628517i | ||||
\(856\) | −25.5877 | − | 0.641003i | −0.874570 | − | 0.0219090i | ||||
\(857\) | 0.102894 | − | 0.178217i | 0.00351478 | − | 0.00608778i | −0.864263 | − | 0.503041i | \(-0.832215\pi\) |
0.867777 | + | 0.496953i | \(0.165548\pi\) | |||||||
\(858\) | −4.40310 | + | 16.2717i | −0.150319 | + | 0.555507i | ||||
\(859\) | −0.733242 | + | 2.73650i | −0.0250179 | + | 0.0933681i | −0.977306 | − | 0.211833i | \(-0.932057\pi\) |
0.952288 | + | 0.305201i | \(0.0987235\pi\) | |||||||
\(860\) | −26.8651 | − | 0.448616i | −0.916093 | − | 0.0152977i | ||||
\(861\) | 13.1163 | − | 7.67587i | 0.447003 | − | 0.261593i | ||||
\(862\) | 7.34054 | − | 7.21898i | 0.250020 | − | 0.245880i | ||||
\(863\) | −26.9928 | −0.918846 | −0.459423 | − | 0.888218i | \(-0.651944\pi\) | ||||
−0.459423 | + | 0.888218i | \(0.651944\pi\) | |||||||
\(864\) | −20.2775 | − | 21.2796i | −0.689856 | − | 0.723947i | ||||
\(865\) | −19.1365 | −0.650660 | ||||||||
\(866\) | −20.1424 | + | 19.8089i | −0.684467 | + | 0.673133i | ||||
\(867\) | −24.6818 | + | 14.4442i | −0.838239 | + | 0.490550i | ||||
\(868\) | −33.4767 | − | 0.559022i | −1.13627 | − | 0.0189744i | ||||
\(869\) | −5.31292 | + | 19.8281i | −0.180228 | + | 0.672621i | ||||
\(870\) | −6.56327 | + | 24.2546i | −0.222516 | + | 0.822309i | ||||
\(871\) | −7.65786 | + | 13.2638i | −0.259477 | + | 0.449427i | ||||
\(872\) | 0.152857 | − | 6.10177i | 0.00517638 | − | 0.206632i | ||||
\(873\) | 2.67945 | + | 4.51746i | 0.0906858 | + | 0.152893i | ||||
\(874\) | −11.2689 | − | 19.9002i | −0.381178 | − | 0.673136i | ||||
\(875\) | −8.85929 | − | 33.0633i | −0.299499 | − | 1.11774i | ||||
\(876\) | −11.3358 | + | 6.38219i | −0.383000 | + | 0.215634i | ||||
\(877\) | −13.9344 | + | 52.0038i | −0.470531 | + | 1.75604i | 0.167338 | + | 0.985900i | \(0.446483\pi\) |
−0.637869 | + | 0.770145i | \(0.720184\pi\) | |||||||
\(878\) | −10.8605 | − | 41.9290i | −0.366524 | − | 1.41503i | ||||
\(879\) | 3.57143 | + | 13.0221i | 0.120461 | + | 0.439224i | ||||
\(880\) | −43.8586 | − | 1.46518i | −1.47847 | − | 0.0493913i | ||||
\(881\) | 27.9049i | 0.940139i | 0.882629 | + | 0.470069i | \(0.155771\pi\) | ||||
−0.882629 | + | 0.470069i | \(0.844229\pi\) | |||||||
\(882\) | −2.71721 | + | 2.73580i | −0.0914933 | + | 0.0921190i | ||||
\(883\) | 3.83601 | − | 3.83601i | 0.129092 | − | 0.129092i | −0.639609 | − | 0.768701i | \(-0.720904\pi\) |
0.768701 | + | 0.639609i | \(0.220904\pi\) | |||||||
\(884\) | 0.441130 | − | 1.54280i | 0.0148368 | − | 0.0518901i | ||||
\(885\) | −0.263257 | − | 44.7850i | −0.00884929 | − | 1.50543i | ||||
\(886\) | 36.3015 | + | 21.3647i | 1.21957 | + | 0.717763i | ||||
\(887\) | −44.3036 | + | 25.5787i | −1.48757 | + | 0.858849i | −0.999899 | − | 0.0141788i | \(-0.995487\pi\) |
−0.487671 | + | 0.873028i | \(0.662153\pi\) | |||||||
\(888\) | 21.1369 | − | 11.6691i | 0.709309 | − | 0.391588i | ||||
\(889\) | −33.6644 | − | 19.4361i | −1.12907 | − | 0.651867i | ||||
\(890\) | 0.499361 | + | 0.881840i | 0.0167386 | + | 0.0295593i | ||||
\(891\) | 37.2685 | − | 39.0636i | 1.24854 | − | 1.30868i | ||||
\(892\) | −16.5424 | + | 27.5784i | −0.553881 | + | 0.923393i | ||||
\(893\) | 4.18343 | + | 15.6128i | 0.139993 | + | 0.522462i | ||||
\(894\) | −7.61891 | − | 4.42391i | −0.254814 | − | 0.147958i | ||||
\(895\) | −27.8952 | + | 16.1053i | −0.932434 | + | 0.538341i | ||||
\(896\) | 31.1615 | − | 6.42580i | 1.04103 | − | 0.214671i | ||||
\(897\) | −8.02063 | − | 7.92688i | −0.267801 | − | 0.264671i | ||||
\(898\) | −26.5781 | − | 27.0257i | −0.886924 | − | 0.901858i | ||||
\(899\) | 23.6101 | + | 23.6101i | 0.787442 | + | 0.787442i | ||||
\(900\) | −4.92385 | − | 8.62651i | −0.164128 | − | 0.287550i | ||||
\(901\) | −3.11647 | + | 3.11647i | −0.103825 | + | 0.103825i | ||||
\(902\) | 0.220975 | − | 26.4678i | 0.00735767 | − | 0.881281i | ||||
\(903\) | 9.46416 | + | 34.5081i | 0.314947 | + | 1.14836i | ||||
\(904\) | −18.0188 | − | 5.31519i | −0.599296 | − | 0.176781i | ||||
\(905\) | 11.7947 | + | 20.4290i | 0.392069 | + | 0.679084i | ||||
\(906\) | −18.7679 | − | 18.8608i | −0.623521 | − | 0.626610i | ||||
\(907\) | −9.99802 | + | 2.67896i | −0.331979 | + | 0.0889535i | −0.420958 | − | 0.907080i | \(-0.638306\pi\) |
0.0889794 | + | 0.996033i | \(0.471639\pi\) | |||||||
\(908\) | −5.36081 | − | 21.4320i | −0.177905 | − | 0.711246i | ||||
\(909\) | −0.627443 | + | 2.45683i | −0.0208110 | + | 0.0814878i | ||||
\(910\) | −2.22679 | + | 8.04134i | −0.0738173 | + | 0.266568i | ||||
\(911\) | −5.69107 | + | 9.85722i | −0.188553 | + | 0.326584i | −0.944768 | − | 0.327739i | \(-0.893713\pi\) |
0.756215 | + | 0.654324i | \(0.227047\pi\) | |||||||
\(912\) | −5.63203 | + | 18.9205i | −0.186495 | + | 0.626521i | ||||
\(913\) | 3.57791 | + | 6.19712i | 0.118411 | + | 0.205095i | ||||
\(914\) | −5.14309 | + | 1.33217i | −0.170118 | + | 0.0440642i | ||||
\(915\) | −21.9222 | − | 37.4602i | −0.724727 | − | 1.23839i | ||||
\(916\) | −0.222317 | + | 0.777528i | −0.00734555 | + | 0.0256903i | ||||
\(917\) | −18.4856 | − | 18.4856i | −0.610447 | − | 0.610447i | ||||
\(918\) | −3.60017 | + | 3.66766i | −0.118823 | + | 0.121051i | ||||
\(919\) | 11.8316 | 0.390288 | 0.195144 | − | 0.980775i | \(-0.437483\pi\) | ||||
0.195144 | + | 0.980775i | \(0.437483\pi\) | |||||||
\(920\) | 15.3103 | − | 25.0479i | 0.504766 | − | 0.825805i | ||||
\(921\) | 14.9329 | − | 57.0700i | 0.492055 | − | 1.88052i | ||||
\(922\) | 4.95432 | + | 2.91579i | 0.163162 | + | 0.0960266i | ||||
\(923\) | 7.99945 | + | 2.14345i | 0.263305 | + | 0.0705524i | ||||
\(924\) | 14.5140 | + | 56.6098i | 0.477475 | + | 1.86233i | ||||
\(925\) | 7.88080 | − | 2.11165i | 0.259119 | − | 0.0694307i | ||||
\(926\) | 8.84192 | − | 31.9298i | 0.290563 | − | 1.04928i | ||||
\(927\) | −31.8182 | + | 0.374084i | −1.04505 | + | 0.0122865i | ||||
\(928\) | −26.7931 | − | 16.9980i | −0.879526 | − | 0.557986i | ||||
\(929\) | 35.7139 | + | 20.6194i | 1.17174 | + | 0.676502i | 0.954088 | − | 0.299525i | \(-0.0968284\pi\) |
0.217647 | + | 0.976027i | \(0.430162\pi\) | |||||||
\(930\) | 26.6660 | + | 0.0658776i | 0.874414 | + | 0.00216021i | ||||
\(931\) | 2.50138 | + | 0.670242i | 0.0819794 | + | 0.0219663i | ||||
\(932\) | −0.388200 | + | 23.2471i | −0.0127159 | + | 0.761484i | ||||
\(933\) | −8.99893 | + | 15.8004i | −0.294612 | + | 0.517281i | ||||
\(934\) | 26.5132 | + | 0.221354i | 0.867537 | + | 0.00724293i | ||||
\(935\) | 7.67271i | 0.250924i | ||||||||
\(936\) | −0.129359 | + | 9.73332i | −0.00422824 | + | 0.318144i | ||||
\(937\) | − | 15.6750i | − | 0.512081i | −0.966666 | − | 0.256041i | \(-0.917582\pi\) | ||
0.966666 | − | 0.256041i | \(-0.0824181\pi\) | |||||||
\(938\) | −0.443289 | + | 53.0959i | −0.0144739 | + | 1.73364i | ||||
\(939\) | −38.2753 | + | 0.224992i | −1.24907 | + | 0.00734233i | ||||
\(940\) | −14.9143 | + | 14.4244i | −0.486451 | + | 0.470471i | ||||
\(941\) | 9.63753 | + | 2.58237i | 0.314174 | + | 0.0841828i | 0.412461 | − | 0.910975i | \(-0.364669\pi\) |
−0.0982863 | + | 0.995158i | \(0.531336\pi\) | |||||||
\(942\) | 20.8991 | + | 12.1350i | 0.680929 | + | 0.395381i | ||||
\(943\) | 15.3345 | + | 8.85340i | 0.499361 | + | 0.288306i | ||||
\(944\) | 54.1088 | + | 16.4533i | 1.76109 | + | 0.535509i | ||||
\(945\) | 18.5608 | − | 19.2272i | 0.603781 | − | 0.625461i | ||||
\(946\) | 60.0609 | + | 16.6319i | 1.95275 | + | 0.540750i | ||||
\(947\) | −2.28712 | + | 0.612832i | −0.0743214 | + | 0.0199144i | −0.295788 | − | 0.955254i | \(-0.595582\pi\) |
0.221467 | + | 0.975168i | \(0.428916\pi\) | |||||||
\(948\) | −0.128245 | + | 11.8531i | −0.00416521 | + | 0.384971i | ||||
\(949\) | 4.16129 | + | 1.11501i | 0.135081 | + | 0.0361949i | ||||
\(950\) | −3.38357 | + | 5.74912i | −0.109777 | + | 0.186526i | ||||
\(951\) | 27.2068 | + | 26.8888i | 0.882240 | + | 0.871929i | ||||
\(952\) | −1.30480 | − | 5.40787i | −0.0422889 | − | 0.175270i | ||||
\(953\) | 43.1152 | 1.39664 | 0.698320 | − | 0.715786i | \(-0.253931\pi\) | ||||
0.698320 | + | 0.715786i | \(0.253931\pi\) | |||||||
\(954\) | 13.2892 | − | 23.1998i | 0.430253 | − | 0.751120i | ||||
\(955\) | 4.57740 | + | 4.57740i | 0.148121 | + | 0.148121i | ||||
\(956\) | 5.44432 | − | 3.02322i | 0.176082 | − | 0.0977778i | ||||
\(957\) | 28.8433 | − | 50.6432i | 0.932371 | − | 1.63706i | ||||
\(958\) | −12.5126 | − | 48.3074i | −0.404265 | − | 1.56074i | ||||
\(959\) | 16.7781 | + | 29.0605i | 0.541792 | + | 0.938411i | ||||
\(960\) | −24.7432 | + | 5.47036i | −0.798583 | + | 0.176555i | ||||
\(961\) | 2.21754 | − | 3.84089i | 0.0715334 | − | 0.123900i | ||||
\(962\) | −7.70565 | − | 2.13383i | −0.248440 | − | 0.0687974i | ||||
\(963\) | −7.33432 | − | 26.1389i | −0.236345 | − | 0.842315i | ||||
\(964\) | 24.5834 | + | 14.7459i | 0.791777 | + | 0.474933i | ||||
\(965\) | 26.2502 | − | 7.03372i | 0.845023 | − | 0.226423i | ||||
\(966\) | −37.7380 | − | 10.2118i | −1.21420 | − | 0.328561i | ||||
\(967\) | −21.1271 | − | 36.5932i | −0.679401 | − | 1.17676i | −0.975162 | − | 0.221495i | \(-0.928906\pi\) |
0.295761 | − | 0.955262i | \(-0.404427\pi\) | |||||||
\(968\) | 67.7846 | + | 19.9951i | 2.17868 | + | 0.642668i | ||||
\(969\) | 3.33918 | + | 0.873727i | 0.107270 | + | 0.0280682i | ||||
\(970\) | 4.52791 | + | 0.0378028i | 0.145382 | + | 0.00121377i | ||||
\(971\) | 11.0093 | − | 11.0093i | 0.353305 | − | 0.353305i | −0.508033 | − | 0.861338i | \(-0.669627\pi\) |
0.861338 | + | 0.508033i | \(0.169627\pi\) | |||||||
\(972\) | 15.2445 | − | 27.1957i | 0.488967 | − | 0.872302i | ||||
\(973\) | 2.48513 | + | 2.48513i | 0.0796697 | + | 0.0796697i | ||||
\(974\) | −12.2443 | + | 12.0415i | −0.392331 | + | 0.385835i | ||||
\(975\) | −0.832665 | + | 3.18226i | −0.0266666 | + | 0.101914i | ||||
\(976\) | 53.3859 | − | 12.4102i | 1.70884 | − | 0.397240i | ||||
\(977\) | 30.5197 | − | 17.6206i | 0.976413 | − | 0.563732i | 0.0752275 | − | 0.997166i | \(-0.476032\pi\) |
0.901185 | + | 0.433434i | \(0.142698\pi\) | |||||||
\(978\) | −6.32428 | − | 11.0167i | −0.202228 | − | 0.352276i | ||||
\(979\) | −0.608371 | − | 2.27047i | −0.0194436 | − | 0.0725646i | ||||
\(980\) | 0.806631 | + | 3.22483i | 0.0257669 | + | 0.103013i | ||||
\(981\) | 6.23321 | − | 1.74898i | 0.199011 | − | 0.0558406i | ||||
\(982\) | −0.951071 | + | 0.538565i | −0.0303499 | + | 0.0171863i | ||||
\(983\) | −33.9109 | − | 19.5785i | −1.08159 | − | 0.624456i | −0.150264 | − | 0.988646i | \(-0.548013\pi\) |
−0.931325 | + | 0.364190i | \(0.881346\pi\) | |||||||
\(984\) | −3.67225 | − | 14.8369i | −0.117067 | − | 0.472983i | ||||
\(985\) | −26.6774 | + | 15.4022i | −0.850013 | + | 0.490755i | ||||
\(986\) | −2.81393 | + | 4.78124i | −0.0896139 | + | 0.152266i | ||||
\(987\) | 24.0104 | + | 13.6749i | 0.764261 | + | 0.435276i | ||||
\(988\) | 5.71542 | − | 3.17376i | 0.181832 | − | 0.100971i | ||||
\(989\) | −29.4801 | + | 29.4801i | −0.937411 | + | 0.937411i | ||||
\(990\) | −12.1999 | − | 44.9177i | −0.387737 | − | 1.42758i | ||||
\(991\) | − | 15.1164i | − | 0.480188i | −0.970750 | − | 0.240094i | \(-0.922822\pi\) | ||
0.970750 | − | 0.240094i | \(-0.0771783\pi\) | |||||||
\(992\) | −10.0652 | + | 32.1343i | −0.319570 | + | 1.02027i | ||||
\(993\) | −3.99235 | + | 4.03956i | −0.126693 | + | 0.128192i | ||||
\(994\) | 27.7942 | − | 7.19927i | 0.881577 | − | 0.228347i | ||||
\(995\) | 7.38315 | − | 27.5543i | 0.234062 | − | 0.873530i | ||||
\(996\) | 2.89012 | + | 2.95334i | 0.0915769 | + | 0.0935802i | ||||
\(997\) | −10.3875 | − | 38.7668i | −0.328976 | − | 1.22776i | −0.910254 | − | 0.414051i | \(-0.864113\pi\) |
0.581277 | − | 0.813706i | \(-0.302553\pi\) | |||||||
\(998\) | 1.00057 | − | 0.566596i | 0.0316726 | − | 0.0179353i | ||||
\(999\) | 18.4245 | + | 17.7859i | 0.582927 | + | 0.562722i |
(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 | 144.2.u.a.83.17 | yes | 88 | |
3.2 | odd | 2 | 432.2.v.a.35.6 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.47.18 | 88 | |||
9.4 | even | 3 | 432.2.v.a.179.13 | 88 | |||
9.5 | odd | 6 | inner | 144.2.u.a.131.10 | yes | 88 | |
12.11 | even | 2 | 1728.2.z.a.1007.6 | 88 | |||
16.5 | even | 4 | 576.2.y.a.335.16 | 88 | |||
16.11 | odd | 4 | inner | 144.2.u.a.11.10 | ✓ | 88 | |
36.23 | even | 6 | 576.2.y.a.239.16 | 88 | |||
36.31 | odd | 6 | 1728.2.z.a.1583.6 | 88 | |||
48.5 | odd | 4 | 1728.2.z.a.143.6 | 88 | |||
48.11 | even | 4 | 432.2.v.a.251.13 | 88 | |||
144.5 | odd | 12 | 576.2.y.a.527.18 | 88 | |||
144.59 | even | 12 | inner | 144.2.u.a.59.17 | yes | 88 | |
144.85 | even | 12 | 1728.2.z.a.719.6 | 88 | |||
144.139 | odd | 12 | 432.2.v.a.395.6 | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.10 | ✓ | 88 | 16.11 | odd | 4 | inner | |
144.2.u.a.59.17 | yes | 88 | 144.59 | even | 12 | inner | |
144.2.u.a.83.17 | yes | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.131.10 | yes | 88 | 9.5 | odd | 6 | inner | |
432.2.v.a.35.6 | 88 | 3.2 | odd | 2 | |||
432.2.v.a.179.13 | 88 | 9.4 | even | 3 | |||
432.2.v.a.251.13 | 88 | 48.11 | even | 4 | |||
432.2.v.a.395.6 | 88 | 144.139 | odd | 12 | |||
576.2.y.a.47.18 | 88 | 4.3 | odd | 2 | |||
576.2.y.a.239.16 | 88 | 36.23 | even | 6 | |||
576.2.y.a.335.16 | 88 | 16.5 | even | 4 | |||
576.2.y.a.527.18 | 88 | 144.5 | odd | 12 | |||
1728.2.z.a.143.6 | 88 | 48.5 | odd | 4 | |||
1728.2.z.a.719.6 | 88 | 144.85 | even | 12 | |||
1728.2.z.a.1007.6 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.1583.6 | 88 | 36.31 | odd | 6 |