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 | 11.10 | ||
Character | \(\chi\) | \(=\) | 144.11 |
Dual form | 144.2.u.a.131.10 |
$q$-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 \(\left(\mathbb{Z}/144\mathbb{Z}\right)^\times\).
\(n\) | \(37\) | \(65\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.354608 | + | 1.36903i | −0.250746 | + | 0.968053i | ||||
\(3\) | −0.874828 | − | 1.49488i | −0.505082 | − | 0.863071i | ||||
\(4\) | −1.74851 | − | 0.970941i | −0.874253 | − | 0.485471i | ||||
\(5\) | 1.76649 | + | 0.473330i | 0.789999 | + | 0.211679i | 0.631188 | − | 0.775630i | \(-0.282568\pi\) |
0.158810 | + | 0.987309i | \(0.449234\pi\) | |||||||
\(6\) | 2.35677 | − | 0.667570i | 0.962146 | − | 0.272534i | ||||
\(7\) | 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 | ||||
\(11\) | 5.79446 | − | 1.55262i | 1.74710 | − | 0.468133i | 0.763093 | − | 0.646288i | \(-0.223680\pi\) |
0.984002 | + | 0.178156i | \(0.0570130\pi\) | |||||||
\(12\) | 0.0781971 | + | 3.46322i | 0.0225736 | + | 0.999745i | ||||
\(13\) | −1.10810 | − | 0.296913i | −0.307330 | − | 0.0823489i | 0.101858 | − | 0.994799i | \(-0.467521\pi\) |
−0.409188 | + | 0.912450i | \(0.634188\pi\) | |||||||
\(14\) | 2.83565 | + | 2.78869i | 0.757858 | + | 0.745309i | ||||
\(15\) | −0.837802 | − | 3.05478i | −0.216320 | − | 0.788741i | ||||
\(16\) | 2.11455 | + | 3.39539i | 0.528636 | + | 0.848848i | ||||
\(17\) | 0.699378i | 0.169624i | 0.996397 | + | 0.0848120i | \(0.0270290\pi\) | ||||
−0.996397 | + | 0.0848120i | \(0.972971\pi\) | |||||||
\(18\) | −3.05970 | − | 2.93908i | −0.721179 | − | 0.692748i | ||||
\(19\) | −2.01481 | − | 2.01481i | −0.462228 | − | 0.462228i | 0.437157 | − | 0.899385i | \(-0.355985\pi\) |
−0.899385 | + | 0.437157i | \(0.855985\pi\) | |||||||
\(20\) | −2.62914 | − | 2.54278i | −0.587894 | − | 0.568583i | ||||
\(21\) | −4.87090 | + | 0.0286324i | −1.06292 | + | 0.00624810i | ||||
\(22\) | 0.0708264 | + | 8.48338i | 0.0151002 | + | 1.80866i | ||||
\(23\) | −4.91498 | + | 2.83767i | −1.02485 | + | 0.591695i | −0.915504 | − | 0.402310i | \(-0.868208\pi\) |
−0.109341 | + | 0.994004i | \(0.534874\pi\) | |||||||
\(24\) | −4.76899 | − | 1.12103i | −0.973466 | − | 0.228830i | ||||
\(25\) | −1.43368 | − | 0.827735i | −0.286736 | − | 0.165547i | ||||
\(26\) | 0.799424 | − | 1.41173i | 0.156780 | − | 0.276863i | ||||
\(27\) | 5.19534 | − | 0.0916271i | 0.999845 | − | 0.0176336i | ||||
\(28\) | −4.82335 | + | 2.89320i | −0.911528 | + | 0.546764i | ||||
\(29\) | 5.41802 | − | 1.45175i | 1.00610 | − | 0.269584i | 0.282101 | − | 0.959385i | \(-0.408969\pi\) |
0.723999 | + | 0.689801i | \(0.242302\pi\) | |||||||
\(30\) | 4.47919 | − | 0.0637289i | 0.817784 | − | 0.0116353i | ||||
\(31\) | −5.15522 | + | 2.97637i | −0.925905 | + | 0.534572i | −0.885514 | − | 0.464612i | \(-0.846194\pi\) |
−0.0403909 | + | 0.999184i | \(0.512860\pi\) | |||||||
\(32\) | −5.39824 | + | 1.69085i | −0.954284 | + | 0.298903i | ||||
\(33\) | −7.39014 | − | 7.30377i | −1.28646 | − | 1.27142i | ||||
\(34\) | −0.957472 | − | 0.248005i | −0.164205 | − | 0.0425325i | ||||
\(35\) | 3.63671 | − | 3.63671i | 0.614717 | − | 0.614717i | ||||
\(36\) | 5.10870 | − | 3.14662i | 0.851450 | − | 0.524436i | ||||
\(37\) | 3.48490 | + | 3.48490i | 0.572913 | + | 0.572913i | 0.932941 | − | 0.360028i | \(-0.117233\pi\) |
−0.360028 | + | 0.932941i | \(0.617233\pi\) | |||||||
\(38\) | 3.47280 | − | 2.04387i | 0.563363 | − | 0.331559i | ||||
\(39\) | 0.525542 | + | 1.91622i | 0.0841540 | + | 0.306841i | ||||
\(40\) | 4.41347 | − | 2.69770i | 0.697830 | − | 0.426543i | ||||
\(41\) | 1.55998 | + | 2.70196i | 0.243628 | + | 0.421975i | 0.961745 | − | 0.273947i | \(-0.0883292\pi\) |
−0.718117 | + | 0.695922i | \(0.754996\pi\) | |||||||
\(42\) | 1.68806 | − | 6.67858i | 0.260474 | − | 1.03053i | ||||
\(43\) | −1.90129 | − | 7.09570i | −0.289944 | − | 1.08208i | −0.945151 | − | 0.326635i | \(-0.894085\pi\) |
0.655207 | − | 0.755450i | \(-0.272581\pi\) | |||||||
\(44\) | −11.6392 | − | 2.91131i | −1.75467 | − | 0.438897i | ||||
\(45\) | −3.83361 | + | 3.92482i | −0.571480 | + | 0.585078i | ||||
\(46\) | −2.14197 | − | 7.73504i | −0.315816 | − | 1.14047i | ||||
\(47\) | −2.83634 | + | 4.91269i | −0.413723 | + | 0.716589i | −0.995293 | − | 0.0969068i | \(-0.969105\pi\) |
0.581570 | + | 0.813496i | \(0.302438\pi\) | |||||||
\(48\) | 3.22585 | − | 6.13138i | 0.465612 | − | 0.884989i | ||||
\(49\) | −0.454420 | − | 0.787079i | −0.0649172 | − | 0.112440i | ||||
\(50\) | 1.64159 | − | 1.66923i | 0.232156 | − | 0.236065i | ||||
\(51\) | 1.04549 | − | 0.611835i | 0.146398 | − | 0.0856741i | ||||
\(52\) | 1.64923 | + | 1.59505i | 0.228706 | + | 0.221194i | ||||
\(53\) | −4.45605 | + | 4.45605i | −0.612086 | + | 0.612086i | −0.943489 | − | 0.331403i | \(-0.892478\pi\) |
0.331403 | + | 0.943489i | \(0.392478\pi\) | |||||||
\(54\) | −1.71687 | + | 7.14509i | −0.233637 | + | 0.972324i | ||||
\(55\) | 10.9708 | 1.47930 | ||||||||
\(56\) | −2.25049 | − | 7.62929i | −0.300734 | − | 1.01951i | ||||
\(57\) | −1.24929 | + | 4.77451i | −0.165473 | + | 0.632399i | ||||
\(58\) | 0.0662251 | + | 7.93225i | 0.00869578 | + | 1.04156i | ||||
\(59\) | −3.65938 | + | 13.6570i | −0.476411 | + | 1.77799i | 0.139552 | + | 0.990215i | \(0.455434\pi\) |
−0.615963 | + | 0.787775i | \(0.711233\pi\) | |||||||
\(60\) | −1.50111 | + | 6.15476i | −0.193792 | + | 0.794576i | ||||
\(61\) | 3.54643 | + | 13.2354i | 0.454074 | + | 1.69463i | 0.690797 | + | 0.723048i | \(0.257260\pi\) |
−0.236724 | + | 0.971577i | \(0.576074\pi\) | |||||||
\(62\) | −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 | ||||
\(66\) | 12.6197 | − | 7.52738i | 1.55338 | − | 0.926556i | ||||
\(67\) | 3.45542 | − | 12.8958i | 0.422146 | − | 1.57547i | −0.347930 | − | 0.937520i | \(-0.613115\pi\) |
0.770077 | − | 0.637952i | \(-0.220218\pi\) | |||||||
\(68\) | 0.679055 | − | 1.22287i | 0.0823475 | − | 0.148294i | ||||
\(69\) | 8.54175 | + | 4.86486i | 1.02831 | + | 0.585660i | ||||
\(70\) | 3.68917 | + | 6.26839i | 0.440940 | + | 0.749216i | ||||
\(71\) | 7.21910i | 0.856749i | 0.903601 | + | 0.428375i | \(0.140914\pi\) | ||||
−0.903601 | + | 0.428375i | \(0.859086\pi\) | |||||||
\(72\) | 2.49623 | + | 8.10980i | 0.294184 | + | 0.955749i | ||||
\(73\) | − | 3.75535i | − | 0.439531i | −0.975553 | − | 0.219765i | \(-0.929471\pi\) | ||
0.975553 | − | 0.219765i | \(-0.0705292\pi\) | |||||||
\(74\) | −6.00671 | + | 3.53517i | −0.698266 | + | 0.410955i | ||||
\(75\) | 0.0168548 | + | 2.86731i | 0.00194622 | + | 0.331088i | ||||
\(76\) | 1.56664 | + | 5.47916i | 0.179706 | + | 0.628502i | ||||
\(77\) | 4.36638 | − | 16.2956i | 0.497596 | − | 1.85705i | ||||
\(78\) | −2.80973 | + | 0.0399763i | −0.318140 | + | 0.00452642i | ||||
\(79\) | −2.96345 | − | 1.71095i | −0.333415 | − | 0.192497i | 0.323942 | − | 0.946077i | \(-0.394992\pi\) |
−0.657356 | + | 0.753580i | \(0.728325\pi\) | |||||||
\(80\) | 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 | ||||
\(83\) | 0.308735 | + | 1.15222i | 0.0338881 | + | 0.126472i | 0.980798 | − | 0.195028i | \(-0.0624797\pi\) |
−0.946910 | + | 0.321500i | \(0.895813\pi\) | |||||||
\(84\) | 8.54460 | + | 4.67930i | 0.932293 | + | 0.510553i | ||||
\(85\) | −0.331036 | + | 1.23544i | −0.0359059 | + | 0.134003i | ||||
\(86\) | 10.3885 | − | 0.0867317i | 1.12022 | − | 0.00935252i | ||||
\(87\) | −6.91004 | − | 6.82927i | −0.740834 | − | 0.732175i | ||||
\(88\) | 8.11303 | − | 14.9020i | 0.864852 | − | 1.58856i | ||||
\(89\) | 0.391835 | 0.0415344 | 0.0207672 | − | 0.999784i | \(-0.493389\pi\) | ||||
0.0207672 | + | 0.999784i | \(0.493389\pi\) | |||||||
\(90\) | −4.01378 | − | 6.64011i | −0.423090 | − | 0.699929i | ||||
\(91\) | −2.28126 | + | 2.28126i | −0.239141 | + | 0.239141i | ||||
\(92\) | 11.3491 | − | 0.189517i | 1.18322 | − | 0.0197585i | ||||
\(93\) | 8.95925 | + | 5.10265i | 0.929031 | + | 0.529120i | ||||
\(94\) | −5.71984 | − | 5.62513i | −0.589957 | − | 0.580188i | ||||
\(95\) | −2.60547 | − | 4.51280i | −0.267315 | − | 0.463004i | ||||
\(96\) | 7.25015 | + | 6.59054i | 0.739966 | + | 0.672644i | ||||
\(97\) | −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 | ||||
\(99\) | −4.45318 | + | 17.4369i | −0.447561 | + | 1.75248i | ||||
\(100\) | 1.70311 | + | 2.83932i | 0.170311 | + | 0.283932i | ||||
\(101\) | −0.218761 | − | 0.816427i | −0.0217675 | − | 0.0812375i | 0.954188 | − | 0.299209i | \(-0.0967227\pi\) |
−0.975955 | + | 0.217971i | \(0.930056\pi\) | |||||||
\(102\) | 0.466884 | + | 1.64827i | 0.0462284 | + | 0.163203i | ||||
\(103\) | −5.30341 | − | 9.18577i | −0.522560 | − | 0.905101i | −0.999655 | − | 0.0262492i | \(-0.991644\pi\) |
0.477095 | − | 0.878852i | \(-0.341690\pi\) | |||||||
\(104\) | −2.76851 | + | 1.69223i | −0.271474 | + | 0.165937i | ||||
\(105\) | −8.61796 | − | 2.25496i | −0.841026 | − | 0.220062i | ||||
\(106\) | −4.52033 | − | 7.68064i | −0.439054 | − | 0.746010i | ||||
\(107\) | −6.39894 | − | 6.39894i | −0.618609 | − | 0.618609i | 0.326566 | − | 0.945174i | \(-0.394109\pi\) |
−0.945174 | + | 0.326566i | \(0.894109\pi\) | |||||||
\(108\) | −9.17305 | − | 4.88416i | −0.882678 | − | 0.469979i | ||||
\(109\) | 1.52592 | − | 1.52592i | 0.146157 | − | 0.146157i | −0.630242 | − | 0.776399i | \(-0.717044\pi\) |
0.776399 | + | 0.630242i | \(0.217044\pi\) | |||||||
\(110\) | −3.89032 | + | 15.0193i | −0.370928 | + | 1.43204i | ||||
\(111\) | 2.16083 | − | 8.25820i | 0.205097 | − | 0.783834i | ||||
\(112\) | 11.2428 | − | 0.375588i | 1.06234 | − | 0.0354897i | ||||
\(113\) | 5.75213 | − | 3.32099i | 0.541115 | − | 0.312413i | −0.204416 | − | 0.978884i | \(-0.565529\pi\) |
0.745531 | + | 0.666471i | \(0.232196\pi\) | |||||||
\(114\) | −6.09345 | − | 3.40340i | −0.570704 | − | 0.318758i | ||||
\(115\) | −10.0254 | + | 2.68630i | −0.934876 | + | 0.250499i | ||||
\(116\) | −10.8830 | − | 2.72218i | −1.01046 | − | 0.252748i | ||||
\(117\) | 2.40477 | − | 2.46199i | 0.222321 | − | 0.227611i | ||||
\(118\) | −17.3992 | − | 9.85270i | −1.60173 | − | 0.907015i | ||||
\(119\) | 1.70333 | + | 0.983418i | 0.156144 | + | 0.0901498i | ||||
\(120\) | −7.89376 | − | 4.23760i | −0.720599 | − | 0.386838i | ||||
\(121\) | 21.6389 | − | 12.4932i | 1.96717 | − | 1.13575i | ||||
\(122\) | −19.3774 | + | 0.161779i | −1.75434 | + | 0.0146467i | ||||
\(123\) | 2.67441 | − | 4.69574i | 0.241143 | − | 0.423400i | ||||
\(124\) | 11.9038 | − | 0.198780i | 1.06899 | − | 0.0178510i | ||||
\(125\) | −8.60659 | − | 8.60659i | −0.769797 | − | 0.769797i | ||||
\(126\) | −11.4605 | + | 3.31915i | −1.02098 | + | 0.295693i | ||||
\(127\) | 13.8224i | 1.22654i | 0.789874 | + | 0.613270i | \(0.210146\pi\) | ||||
−0.789874 | + | 0.613270i | \(0.789854\pi\) | |||||||
\(128\) | 11.0806 | + | 2.28492i | 0.979394 | + | 0.201960i | ||||
\(129\) | −8.94395 | + | 9.04972i | −0.787471 | + | 0.796784i | ||||
\(130\) | 2.08039 | − | 2.11542i | 0.182462 | − | 0.185535i | ||||
\(131\) | 8.97914 | + | 2.40595i | 0.784511 | + | 0.210209i | 0.628773 | − | 0.777589i | \(-0.283558\pi\) |
0.155739 | + | 0.987798i | \(0.450224\pi\) | |||||||
\(132\) | 5.83018 | + | 19.9461i | 0.507452 | + | 1.73608i | ||||
\(133\) | −7.74013 | + | 2.07396i | −0.671154 | + | 0.179835i | ||||
\(134\) | 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 | \(-0.663085\pi\) |
0.999937 | − | 0.0112514i | \(-0.00358150\pi\) | |||||||
\(138\) | −9.68913 | + | 9.96882i | −0.824793 | + | 0.848602i | ||||
\(139\) | 1.20712 | + | 0.323448i | 0.102387 | + | 0.0274345i | 0.309649 | − | 0.950851i | \(-0.399789\pi\) |
−0.207262 | + | 0.978286i | \(0.566455\pi\) | |||||||
\(140\) | −9.88985 | + | 2.82778i | −0.835845 | + | 0.238991i | ||||
\(141\) | 9.82521 | − | 0.0577550i | 0.827432 | − | 0.00486385i | ||||
\(142\) | −9.88319 | − | 2.55995i | −0.829379 | − | 0.214826i | ||||
\(143\) | −6.88181 | −0.575486 | ||||||||
\(144\) | −11.9878 | + | 0.541627i | −0.998981 | + | 0.0451356i | ||||
\(145\) | 10.2580 | 0.851884 | ||||||||
\(146\) | 5.14120 | + | 1.33168i | 0.425489 | + | 0.110211i | ||||
\(147\) | −0.779052 | + | 1.36786i | −0.0642551 | + | 0.112819i | ||||
\(148\) | −2.70973 | − | 9.47699i | −0.222739 | − | 0.779004i | ||||
\(149\) | −3.47417 | − | 0.930902i | −0.284615 | − | 0.0762625i | 0.113687 | − | 0.993517i | \(-0.463734\pi\) |
−0.398302 | + | 0.917254i | \(0.630401\pi\) | |||||||
\(150\) | −3.93142 | − | 0.993697i | −0.320999 | − | 0.0811350i | ||||
\(151\) | −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 | ||||
\(155\) | −10.5155 | + | 2.81761i | −0.844621 | + | 0.226316i | ||||
\(156\) | 0.941626 | − | 3.86079i | 0.0753904 | − | 0.309111i | ||||
\(157\) | −9.52986 | − | 2.55352i | −0.760565 | − | 0.203793i | −0.142366 | − | 0.989814i | \(-0.545471\pi\) |
−0.618199 | + | 0.786021i | \(0.712138\pi\) | |||||||
\(158\) | 3.39321 | − | 3.45035i | 0.269950 | − | 0.274495i | ||||
\(159\) | 10.5596 | + | 2.76300i | 0.837428 | + | 0.219120i | ||||
\(160\) | −10.3363 | + | 0.431720i | −0.817154 | + | 0.0341305i | ||||
\(161\) | 15.9606i | 1.25787i | ||||||||
\(162\) | 12.1830 | − | 3.68420i | 0.957191 | − | 0.289458i | ||||
\(163\) | −3.66703 | − | 3.66703i | −0.287224 | − | 0.287224i | 0.548758 | − | 0.835981i | \(-0.315101\pi\) |
−0.835981 | + | 0.548758i | \(0.815101\pi\) | |||||||
\(164\) | −0.104185 | − | 6.23904i | −0.00813547 | − | 0.487187i | ||||
\(165\) | −9.59752 | − | 16.4000i | −0.747166 | − | 1.27674i | ||||
\(166\) | −1.68690 | + | 0.0140837i | −0.130929 | + | 0.00109311i | ||||
\(167\) | −17.4253 | + | 10.0605i | −1.34841 | + | 0.778505i | −0.988024 | − | 0.154299i | \(-0.950688\pi\) |
−0.360385 | + | 0.932803i | \(0.617355\pi\) | |||||||
\(168\) | −9.43610 | + | 10.0385i | −0.728011 | + | 0.774490i | ||||
\(169\) | −10.1186 | − | 5.84198i | −0.778355 | − | 0.449383i | ||||
\(170\) | −1.57398 | − | 0.891299i | −0.120719 | − | 0.0683595i | ||||
\(171\) | 8.23025 | − | 2.30932i | 0.629383 | − | 0.176598i | ||||
\(172\) | −3.56510 | + | 14.2529i | −0.271836 | + | 1.08677i | ||||
\(173\) | −10.1074 | + | 2.70826i | −0.768450 | + | 0.205906i | −0.621687 | − | 0.783266i | \(-0.713552\pi\) |
−0.146763 | + | 0.989172i | \(0.546886\pi\) | |||||||
\(174\) | 11.7999 | − | 7.03835i | 0.894545 | − | 0.533576i | ||||
\(175\) | −4.03189 | + | 2.32781i | −0.304782 | + | 0.175966i | ||||
\(176\) | 17.5244 | + | 16.3914i | 1.32095 | + | 1.23555i | ||||
\(177\) | 23.6169 | − | 6.47717i | 1.77516 | − | 0.486854i | ||||
\(178\) | −0.138948 | + | 0.536435i | −0.0104146 | + | 0.0402075i | ||||
\(179\) | 12.4542 | − | 12.4542i | 0.930872 | − | 0.930872i | −0.0668885 | − | 0.997760i | \(-0.521307\pi\) |
0.997760 | + | 0.0668885i | \(0.0213072\pi\) | |||||||
\(180\) | 10.5139 | − | 3.14037i | 0.783657 | − | 0.234069i | ||||
\(181\) | −9.12083 | − | 9.12083i | −0.677946 | − | 0.677946i | 0.281589 | − | 0.959535i | \(-0.409139\pi\) |
−0.959535 | + | 0.281589i | \(0.909139\pi\) | |||||||
\(182\) | −2.31417 | − | 3.93207i | −0.171537 | − | 0.291465i | ||||
\(183\) | 16.6829 | − | 16.8802i | 1.23324 | − | 1.24782i | ||||
\(184\) | −3.76503 | + | 15.6045i | −0.277561 | + | 1.15038i | ||||
\(185\) | 4.50653 | + | 7.80554i | 0.331327 | + | 0.573875i | ||||
\(186\) | −10.1627 | + | 10.4561i | −0.745167 | + | 0.766677i | ||||
\(187\) | 1.08587 | + | 4.05252i | 0.0794066 | + | 0.296349i | ||||
\(188\) | 9.72929 | − | 5.83594i | 0.709582 | − | 0.425630i | ||||
\(189\) | 7.08219 | − | 12.7821i | 0.515153 | − | 0.929759i | ||||
\(190\) | 7.10210 | − | 1.96670i | 0.515240 | − | 0.142679i | ||||
\(191\) | 1.76985 | − | 3.06547i | 0.128062 | − | 0.221810i | −0.794864 | − | 0.606788i | \(-0.792458\pi\) |
0.922926 | + | 0.384978i | \(0.125791\pi\) | |||||||
\(192\) | −11.5936 | + | 7.58864i | −0.836699 | + | 0.547663i | ||||
\(193\) | 7.43004 | + | 12.8692i | 0.534826 | + | 0.926346i | 0.999172 | + | 0.0406916i | \(0.0129561\pi\) |
−0.464346 | + | 0.885654i | \(0.653711\pi\) | |||||||
\(194\) | −1.76533 | − | 1.73610i | −0.126743 | − | 0.124644i | ||||
\(195\) | 0.0213600 | + | 3.63374i | 0.00152962 | + | 0.260218i | ||||
\(196\) | 0.0303489 | + | 1.81743i | 0.00216778 | + | 0.129816i | ||||
\(197\) | 11.9105 | − | 11.9105i | 0.848589 | − | 0.848589i | −0.141368 | − | 0.989957i | \(-0.545150\pi\) |
0.989957 | + | 0.141368i | \(0.0451501\pi\) | |||||||
\(198\) | −22.2926 | − | 12.2798i | −1.58427 | − | 0.872690i | ||||
\(199\) | 15.5983 | 1.10574 | 0.552868 | − | 0.833269i | \(-0.313533\pi\) | ||||
0.552868 | + | 0.833269i | \(0.313533\pi\) | |||||||
\(200\) | −4.49106 | + | 1.32478i | −0.317566 | + | 0.0936757i | ||||
\(201\) | −22.3006 | + | 6.11615i | −1.57296 | + | 0.431400i | ||||
\(202\) | 1.19529 | − | 0.00997929i | 0.0841003 | − | 0.000702140i | ||||
\(203\) | 4.08272 | − | 15.2369i | 0.286551 | − | 1.06942i | ||||
\(204\) | −2.42210 | + | 0.0546893i | −0.169581 | + | 0.00382902i | ||||
\(205\) | 1.47677 | + | 5.51137i | 0.103142 | + | 0.384931i | ||||
\(206\) | 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 | ||||
\(210\) | 6.14312 | − | 10.9986i | 0.423916 | − | 0.758978i | ||||
\(211\) | −4.18049 | + | 15.6018i | −0.287797 | + | 1.07407i | 0.658975 | + | 0.752165i | \(0.270990\pi\) |
−0.946771 | + | 0.321907i | \(0.895676\pi\) | |||||||
\(212\) | 12.1180 | − | 3.46487i | 0.832268 | − | 0.237968i | ||||
\(213\) | 10.7917 | − | 6.31547i | 0.739436 | − | 0.432729i | ||||
\(214\) | 11.0295 | − | 6.49124i | 0.753960 | − | 0.443732i | ||||
\(215\) | − | 13.4344i | − | 0.916220i | ||||||
\(216\) | 9.93943 | − | 10.8263i | 0.676292 | − | 0.736633i | ||||
\(217\) | 16.7407i | 1.13643i | ||||||||
\(218\) | 1.54793 | + | 2.63014i | 0.104839 | + | 0.178136i | ||||
\(219\) | −5.61381 | + | 3.28529i | −0.379346 | + | 0.221999i | ||||
\(220\) | −19.1824 | − | 10.6520i | −1.29328 | − | 0.718155i | ||||
\(221\) | 0.207655 | − | 0.774977i | 0.0139684 | − | 0.0521306i | ||||
\(222\) | 10.5395 | + | 5.88668i | 0.707365 | + | 0.395088i | ||||
\(223\) | 13.9254 | + | 8.03982i | 0.932512 | + | 0.538386i | 0.887605 | − | 0.460605i | \(-0.152368\pi\) |
0.0449068 | + | 0.998991i | \(0.485701\pi\) | |||||||
\(224\) | −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 | ||||
\(227\) | 2.85895 | + | 10.6697i | 0.189755 | + | 0.708176i | 0.993562 | + | 0.113286i | \(0.0361377\pi\) |
−0.803807 | + | 0.594890i | \(0.797196\pi\) | |||||||
\(228\) | 6.82016 | − | 7.13526i | 0.451676 | − | 0.472544i | ||||
\(229\) | 0.104652 | − | 0.390566i | 0.00691559 | − | 0.0258093i | −0.962382 | − | 0.271701i | \(-0.912414\pi\) |
0.969297 | + | 0.245891i | \(0.0790806\pi\) | |||||||
\(230\) | −0.122542 | − | 14.6777i | −0.00808018 | − | 0.967821i | ||||
\(231\) | −28.1798 | + | 7.72858i | −1.85409 | + | 0.508503i | ||||
\(232\) | 7.58596 | − | 13.9339i | 0.498043 | − | 0.914805i | ||||
\(233\) | 11.6252 | 0.761590 | 0.380795 | − | 0.924659i | \(-0.375650\pi\) | ||||
0.380795 | + | 0.924659i | \(0.375650\pi\) | |||||||
\(234\) | 2.51779 | + | 4.16525i | 0.164593 | + | 0.272291i | ||||
\(235\) | −7.33569 | + | 7.33569i | −0.478528 | + | 0.478528i | ||||
\(236\) | 19.6586 | − | 20.3263i | 1.27967 | − | 1.32313i | ||||
\(237\) | 0.0348392 | + | 5.92680i | 0.00226305 | + | 0.384987i | ||||
\(238\) | −1.95035 | + | 1.98319i | −0.126422 | + | 0.128551i | ||||
\(239\) | −1.55685 | − | 2.69654i | −0.100704 | − | 0.174425i | 0.811271 | − | 0.584671i | \(-0.198776\pi\) |
−0.911975 | + | 0.410246i | \(0.865443\pi\) | |||||||
\(240\) | 8.60061 | − | 9.30414i | 0.555167 | − | 0.600579i | ||||
\(241\) | −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 | ||||
\(243\) | −7.39414 | + | 13.7232i | −0.474334 | + | 0.880345i | ||||
\(244\) | 6.64989 | − | 26.5856i | 0.425716 | − | 1.70197i | ||||
\(245\) | −0.430181 | − | 1.60546i | −0.0274833 | − | 0.102569i | ||||
\(246\) | 5.48025 | + | 5.32650i | 0.349408 | + | 0.339605i | ||||
\(247\) | 1.63437 | + | 2.83082i | 0.103993 | + | 0.180121i | ||||
\(248\) | −3.94905 | + | 16.3672i | −0.250765 | + | 1.03932i | ||||
\(249\) | 1.45234 | − | 1.46951i | 0.0920382 | − | 0.0931266i | ||||
\(250\) | 14.8347 | − | 8.73075i | 0.938228 | − | 0.552181i | ||||
\(251\) | 3.06176 | + | 3.06176i | 0.193257 | + | 0.193257i | 0.797102 | − | 0.603845i | \(-0.206365\pi\) |
−0.603845 | + | 0.797102i | \(0.706365\pi\) | |||||||
\(252\) | −0.480051 | − | 16.8668i | −0.0302404 | − | 1.06251i | ||||
\(253\) | −24.0739 | + | 24.0739i | −1.51351 | + | 1.51351i | ||||
\(254\) | −18.9233 | − | 4.90154i | −1.18735 | − | 0.307550i | ||||
\(255\) | 2.13645 | − | 0.585940i | 0.133789 | − | 0.0366930i | ||||
\(256\) | −7.05739 | + | 14.3594i | −0.441087 | + | 0.897464i | ||||
\(257\) | 2.78074 | − | 1.60546i | 0.173458 | − | 0.100146i | −0.410757 | − | 0.911745i | \(-0.634736\pi\) |
0.584215 | + | 0.811599i | \(0.301402\pi\) | |||||||
\(258\) | −9.21777 | − | 15.4537i | −0.573874 | − | 0.962104i | ||||
\(259\) | 13.3877 | − | 3.58722i | 0.831870 | − | 0.222899i | ||||
\(260\) | 2.15836 | + | 3.59827i | 0.133856 | + | 0.223155i | ||||
\(261\) | −4.16388 | + | 16.3041i | −0.257737 | + | 1.00920i | ||||
\(262\) | −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 | \(0.636733\pi\) | |||||||
\(264\) | −29.3743 | + | 0.908663i | −1.80786 | + | 0.0559244i | ||||
\(265\) | −9.98076 | + | 5.76240i | −0.613113 | + | 0.353981i | ||||
\(266\) | −0.0946086 | − | 11.3319i | −0.00580082 | − | 0.694806i | ||||
\(267\) | −0.342788 | − | 0.585748i | −0.0209783 | − | 0.0358472i | ||||
\(268\) | −18.5629 | + | 19.1934i | −1.13391 | + | 1.17242i | ||||
\(269\) | −1.99648 | − | 1.99648i | −0.121727 | − | 0.121727i | 0.643619 | − | 0.765346i | \(-0.277432\pi\) |
−0.765346 | + | 0.643619i | \(0.777432\pi\) | |||||||
\(270\) | −6.41482 | + | 11.8091i | −0.390394 | + | 0.718678i | ||||
\(271\) | − | 13.9357i | − | 0.846534i | −0.906005 | − | 0.423267i | \(-0.860883\pi\) | ||
0.906005 | − | 0.423267i | \(-0.139117\pi\) | |||||||
\(272\) | −2.37466 | + | 1.47887i | −0.143985 | + | 0.0896695i | ||||
\(273\) | 5.40593 | + | 1.41451i | 0.327182 | + | 0.0856099i | ||||
\(274\) | 12.0313 | + | 11.8320i | 0.726835 | + | 0.714799i | ||||
\(275\) | −9.59256 | − | 2.57032i | −0.578453 | − | 0.154996i | ||||
\(276\) | −10.2118 | − | 16.7998i | −0.614678 | − | 1.01123i | ||||
\(277\) | 30.2253 | − | 8.09885i | 1.81606 | − | 0.486613i | 0.819774 | − | 0.572686i | \(-0.194099\pi\) |
0.996289 | + | 0.0860738i | \(0.0274321\pi\) | |||||||
\(278\) | −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 | \(0.404056\pi\) |
−0.975419 | + | 0.220357i | \(0.929278\pi\) | |||||||
\(282\) | −3.40503 | + | 13.4715i | −0.202767 | + | 0.802217i | ||||
\(283\) | −2.36412 | − | 0.633463i | −0.140532 | − | 0.0376555i | 0.187867 | − | 0.982194i | \(-0.439843\pi\) |
−0.328399 | + | 0.944539i | \(0.606509\pi\) | |||||||
\(284\) | 7.00932 | − | 12.6226i | 0.415927 | − | 0.749016i | ||||
\(285\) | −4.46678 | + | 7.84279i | −0.264589 | + | 0.464567i | ||||
\(286\) | 2.44035 | − | 9.42143i | 0.144301 | − | 0.557101i | ||||
\(287\) | 8.77415 | 0.517921 | ||||||||
\(288\) | 3.50946 | − | 16.6037i | 0.206797 | − | 0.978384i | ||||
\(289\) | 16.5109 | 0.971228 | ||||||||
\(290\) | −3.63759 | + | 14.0436i | −0.213606 | + | 0.824668i | ||||
\(291\) | 3.03238 | − | 0.0178251i | 0.177761 | − | 0.00104492i | ||||
\(292\) | −3.64623 | + | 6.56626i | −0.213379 | + | 0.384261i | ||||
\(293\) | 7.53030 | + | 2.01774i | 0.439925 | + | 0.117877i | 0.471981 | − | 0.881609i | \(-0.343539\pi\) |
−0.0320565 | + | 0.999486i | \(0.510206\pi\) | |||||||
\(294\) | −1.59639 | − | 1.55160i | −0.0931035 | − | 0.0904914i | ||||
\(295\) | −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 | ||||
\(299\) | 6.28881 | − | 1.68508i | 0.363691 | − | 0.0974508i | ||||
\(300\) | 2.75452 | − | 5.02987i | 0.159032 | − | 0.290400i | ||||
\(301\) | −19.9550 | − | 5.34693i | −1.15019 | − | 0.308192i | ||||
\(302\) | −10.9528 | − | 10.7714i | −0.630264 | − | 0.619827i | ||||
\(303\) | −1.02908 | + | 1.04125i | −0.0591194 | + | 0.0598185i | ||||
\(304\) | 2.58066 | − | 11.1015i | 0.148011 | − | 0.636712i | ||||
\(305\) | 25.0589i | 1.43487i | ||||||||
\(306\) | 2.05553 | − | 2.13989i | 0.117507 | − | 0.122329i | ||||
\(307\) | −24.0831 | − | 24.0831i | −1.37450 | − | 1.37450i | −0.853652 | − | 0.520843i | \(-0.825618\pi\) |
−0.520843 | − | 0.853652i | \(-0.674382\pi\) | |||||||
\(308\) | −23.4567 | + | 24.2534i | −1.33657 | + | 1.38197i | ||||
\(309\) | −9.09209 | + | 15.9639i | −0.517231 | + | 0.908157i | ||||
\(310\) | −0.128532 | − | 15.3952i | −0.00730011 | − | 0.874386i | ||||
\(311\) | 9.09165 | − | 5.24907i | 0.515540 | − | 0.297647i | −0.219568 | − | 0.975597i | \(-0.570465\pi\) |
0.735108 | + | 0.677950i | \(0.237131\pi\) | |||||||
\(312\) | 4.95165 | + | 2.65819i | 0.280332 | + | 0.150490i | ||||
\(313\) | −19.1380 | − | 11.0493i | −1.08174 | − | 0.624544i | −0.150376 | − | 0.988629i | \(-0.548048\pi\) |
−0.931366 | + | 0.364085i | \(0.881382\pi\) | |||||||
\(314\) | 6.87522 | − | 12.1412i | 0.387991 | − | 0.685167i | ||||
\(315\) | 4.16832 | + | 14.8555i | 0.234858 | + | 0.837015i | ||||
\(316\) | 3.52038 | + | 5.86895i | 0.198037 | + | 0.330154i | ||||
\(317\) | −21.3323 | + | 5.71597i | −1.19814 | + | 0.321041i | −0.802099 | − | 0.597192i | \(-0.796283\pi\) |
−0.396042 | + | 0.918232i | \(0.629617\pi\) | |||||||
\(318\) | −7.52715 | + | 13.4766i | −0.422102 | + | 0.755731i | ||||
\(319\) | 29.1405 | − | 16.8243i | 1.63155 | − | 0.941978i | ||||
\(320\) | 3.07429 | − | 14.3038i | 0.171858 | − | 0.799607i | ||||
\(321\) | −3.96770 | + | 15.1636i | −0.221455 | + | 0.846352i | ||||
\(322\) | −21.8505 | − | 5.65974i | −1.21768 | − | 0.315405i | ||||
\(323\) | 1.40911 | − | 1.40911i | 0.0784050 | − | 0.0784050i | ||||
\(324\) | 0.723585 | + | 17.9855i | 0.0401992 | + | 0.999192i | ||||
\(325\) | 1.34289 | + | 1.34289i | 0.0744900 | + | 0.0744900i | ||||
\(326\) | 6.32064 | − | 3.71992i | 0.350068 | − | 0.206028i | ||||
\(327\) | −3.61599 | − | 0.946157i | −0.199965 | − | 0.0523226i | ||||
\(328\) | 8.57840 | + | 2.06978i | 0.473663 | + | 0.114285i | ||||
\(329\) | 7.97655 | + | 13.8158i | 0.439761 | + | 0.761689i | ||||
\(330\) | 25.8555 | − | 7.32375i | 1.42330 | − | 0.403159i | ||||
\(331\) | −0.848686 | − | 3.16734i | −0.0466480 | − | 0.174093i | 0.938672 | − | 0.344812i | \(-0.112057\pi\) |
−0.985320 | + | 0.170720i | \(0.945391\pi\) | |||||||
\(332\) | 0.578908 | − | 2.31442i | 0.0317717 | − | 0.127020i | ||||
\(333\) | −14.2354 | + | 3.99431i | −0.780095 | + | 0.218887i | ||||
\(334\) | −7.59401 | − | 27.4233i | −0.415525 | − | 1.50054i | ||||
\(335\) | 12.2079 | − | 21.1447i | 0.666990 | − | 1.15526i | ||||
\(336\) | −10.3970 | − | 16.4781i | −0.567201 | − | 0.898953i | ||||
\(337\) | −11.5710 | − | 20.0416i | −0.630315 | − | 1.09174i | −0.987487 | − | 0.157699i | \(-0.949593\pi\) |
0.357172 | − | 0.934038i | \(-0.383741\pi\) | |||||||
\(338\) | 11.5860 | − | 11.7811i | 0.630196 | − | 0.640808i | ||||
\(339\) | −9.99662 | − | 5.69347i | −0.542942 | − | 0.309227i | ||||
\(340\) | 1.77836 | − | 1.83877i | 0.0964453 | − | 0.0997210i | ||||
\(341\) | −25.2506 | + | 25.2506i | −1.36739 | + | 1.36739i | ||||
\(342\) | 0.243030 | + | 12.0864i | 0.0131415 | + | 0.653557i | ||||
\(343\) | 17.1300 | 0.924931 | ||||||||
\(344\) | −18.2485 | − | 9.93494i | −0.983894 | − | 0.535656i | ||||
\(345\) | 12.7862 | + | 12.6368i | 0.688388 | + | 0.680342i | ||||
\(346\) | −0.123544 | − | 14.7977i | −0.00664175 | − | 0.795530i | ||||
\(347\) | 2.03374 | − | 7.59002i | 0.109177 | − | 0.407454i | −0.889609 | − | 0.456724i | \(-0.849023\pi\) |
0.998785 | + | 0.0492700i | \(0.0156895\pi\) | |||||||
\(348\) | 5.45141 | + | 18.6503i | 0.292226 | + | 0.999759i | ||||
\(349\) | −5.62138 | − | 20.9793i | −0.300905 | − | 1.12299i | −0.936413 | − | 0.350900i | \(-0.885876\pi\) |
0.635508 | − | 0.772095i | \(-0.280791\pi\) | |||||||
\(350\) | −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 | \(0.667731\pi\) | |||||||
\(354\) | 0.492698 | + | 34.6293i | 0.0261866 | + | 1.84052i | ||||
\(355\) | −3.41701 | + | 12.7525i | −0.181356 | + | 0.676831i | ||||
\(356\) | −0.685126 | − | 0.380449i | −0.0363116 | − | 0.0201638i | ||||
\(357\) | −0.0200249 | − | 3.40660i | −0.00105983 | − | 0.180297i | ||||
\(358\) | 12.6339 | + | 21.4666i | 0.667721 | + | 1.13455i | ||||
\(359\) | − | 4.07414i | − | 0.215025i | −0.994204 | − | 0.107512i | \(-0.965711\pi\) | ||
0.994204 | − | 0.107512i | \(-0.0342886\pi\) | |||||||
\(360\) | 0.570967 | + | 15.5074i | 0.0300926 | + | 0.817313i | ||||
\(361\) | − | 10.8811i | − | 0.572691i | ||||||
\(362\) | 15.7210 | − | 9.25240i | 0.826280 | − | 0.486295i | ||||
\(363\) | −37.6062 | − | 21.4182i | −1.97381 | − | 1.12416i | ||||
\(364\) | 6.20377 | − | 1.77383i | 0.325166 | − | 0.0929738i | ||||
\(365\) | 1.77752 | − | 6.63379i | 0.0930396 | − | 0.347229i | ||||
\(366\) | 17.1937 | + | 28.8254i | 0.898729 | + | 1.50673i | ||||
\(367\) | −4.96310 | − | 2.86545i | −0.259072 | − | 0.149575i | 0.364839 | − | 0.931071i | \(-0.381124\pi\) |
−0.623911 | + | 0.781495i | \(0.714457\pi\) | |||||||
\(368\) | −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 | ||||
\(371\) | 4.58689 | + | 17.1185i | 0.238139 | + | 0.888748i | ||||
\(372\) | −10.7109 | − | 17.6209i | −0.555336 | − | 0.913602i | ||||
\(373\) | −5.28955 | + | 19.7409i | −0.273882 | + | 1.02214i | 0.682704 | + | 0.730695i | \(0.260804\pi\) |
−0.956587 | + | 0.291448i | \(0.905863\pi\) | |||||||
\(374\) | −5.93309 | + | 0.0495344i | −0.306793 | + | 0.00256136i | ||||
\(375\) | −5.33657 | + | 20.3951i | −0.275579 | + | 1.05320i | ||||
\(376\) | 4.53951 | + | 15.3892i | 0.234108 | + | 0.793637i | ||||
\(377\) | −6.43473 | −0.331405 | ||||||||
\(378\) | 14.9877 | + | 14.2284i | 0.770883 | + | 0.731829i | ||||
\(379\) | −2.85273 | + | 2.85273i | −0.146535 | + | 0.146535i | −0.776568 | − | 0.630033i | \(-0.783041\pi\) |
0.630033 | + | 0.776568i | \(0.283041\pi\) | |||||||
\(380\) | 0.174009 | + | 10.4204i | 0.00892647 | + | 0.534556i | ||||
\(381\) | 20.6629 | − | 12.0922i | 1.05859 | − | 0.619503i | ||||
\(382\) | 3.56913 | + | 3.51003i | 0.182612 | + | 0.179589i | ||||
\(383\) | −7.78731 | − | 13.4880i | −0.397913 | − | 0.689206i | 0.595555 | − | 0.803314i | \(-0.296932\pi\) |
−0.993468 | + | 0.114109i | \(0.963599\pi\) | |||||||
\(384\) | −6.27791 | − | 18.5631i | −0.320368 | − | 0.947293i | ||||
\(385\) | 15.4263 | − | 26.7192i | 0.786200 | − | 1.36174i | ||||
\(386\) | −20.2531 | + | 5.60845i | −1.03086 | + | 0.285462i | ||||
\(387\) | 21.3527 | + | 5.45322i | 1.08542 | + | 0.277203i | ||||
\(388\) | 3.00278 | − | 1.80116i | 0.152443 | − | 0.0914401i | ||||
\(389\) | −7.22357 | − | 26.9587i | −0.366250 | − | 1.36686i | −0.865719 | − | 0.500531i | \(-0.833138\pi\) |
0.499469 | − | 0.866332i | \(-0.333529\pi\) | |||||||
\(390\) | −4.98229 | − | 1.25931i | −0.252288 | − | 0.0637677i | ||||
\(391\) | −1.98460 | − | 3.43743i | −0.100366 | − | 0.173838i | ||||
\(392\) | −2.49888 | − | 0.602926i | −0.126213 | − | 0.0304524i | ||||
\(393\) | −4.25858 | − | 15.5276i | −0.214817 | − | 0.783262i | ||||
\(394\) | 12.0823 | + | 20.5295i | 0.608699 | + | 1.03426i | ||||
\(395\) | −4.42507 | − | 4.42507i | −0.222649 | − | 0.222649i | ||||
\(396\) | 24.7167 | − | 26.1648i | 1.24206 | − | 1.31483i | ||||
\(397\) | 27.4204 | − | 27.4204i | 1.37619 | − | 1.37619i | 0.525230 | − | 0.850961i | \(-0.323979\pi\) |
0.850961 | − | 0.525230i | \(-0.176021\pi\) | |||||||
\(398\) | −5.53130 | + | 21.3546i | −0.277259 | + | 1.07041i | ||||
\(399\) | 9.87161 | + | 9.75623i | 0.494199 | + | 0.488423i | ||||
\(400\) | −0.221094 | − | 6.61819i | −0.0110547 | − | 0.330910i | ||||
\(401\) | −14.6316 | + | 8.44757i | −0.730669 | + | 0.421852i | −0.818667 | − | 0.574269i | \(-0.805286\pi\) |
0.0879981 | + | 0.996121i | \(0.471953\pi\) | |||||||
\(402\) | −0.465236 | − | 32.6991i | −0.0232039 | − | 1.63088i | ||||
\(403\) | 6.59620 | − | 1.76745i | 0.328580 | − | 0.0880428i | ||||
\(404\) | −0.410198 | + | 1.63993i | −0.0204081 | + | 0.0815896i | ||||
\(405\) | −4.63257 | − | 15.7939i | −0.230194 | − | 0.784803i | ||||
\(406\) | 19.4121 | + | 10.9925i | 0.963405 | + | 0.545549i | ||||
\(407\) | 25.6038 | + | 14.7824i | 1.26913 | + | 0.732735i | ||||
\(408\) | 0.784025 | − | 3.33533i | 0.0388150 | − | 0.165123i | ||||
\(409\) | 14.9737 | − | 8.64508i | 0.740402 | − | 0.427471i | −0.0818133 | − | 0.996648i | \(-0.526071\pi\) |
0.822216 | + | 0.569176i | \(0.192738\pi\) | |||||||
\(410\) | −8.06893 | + | 0.0673662i | −0.398496 | + | 0.00332698i | ||||
\(411\) | −20.6666 | + | 0.121483i | −1.01941 | + | 0.00599233i | ||||
\(412\) | 0.354194 | + | 21.2107i | 0.0174499 | + | 1.04497i | ||||
\(413\) | 28.1160 | + | 28.1160i | 1.38350 | + | 1.38350i | ||||
\(414\) | 23.3785 | + | 5.76312i | 1.14899 | + | 0.283242i | ||||
\(415\) | 2.18151i | 0.107086i | ||||||||
\(416\) | 6.48380 | − | 0.270812i | 0.317895 | − | 0.0132777i | ||||
\(417\) | −0.572508 | − | 2.08747i | −0.0280359 | − | 0.102224i | ||||
\(418\) | 16.9497 | − | 17.2351i | 0.829035 | − | 0.842995i | ||||
\(419\) | 2.94162 | + | 0.788205i | 0.143708 | + | 0.0385063i | 0.329956 | − | 0.943996i | \(-0.392966\pi\) |
−0.186248 | + | 0.982503i | \(0.559633\pi\) | |||||||
\(420\) | 12.8791 | + | 12.3103i | 0.628436 | + | 0.600684i | ||||
\(421\) | 8.89561 | − | 2.38357i | 0.433546 | − | 0.116168i | −0.0354445 | − | 0.999372i | \(-0.511285\pi\) |
0.468990 | + | 0.883203i | \(0.344618\pi\) | |||||||
\(422\) | −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 | ||||
\(426\) | 4.81926 | + | 17.0137i | 0.233494 | + | 0.824318i | ||||
\(427\) | 37.2216 | + | 9.97350i | 1.80128 | + | 0.482651i | ||||
\(428\) | 4.97559 | + | 17.4016i | 0.240504 | + | 0.841137i | ||||
\(429\) | 6.02040 | + | 10.2875i | 0.290667 | + | 0.496685i | ||||
\(430\) | 18.3922 | + | 4.76396i | 0.886950 | + | 0.229739i | ||||
\(431\) | −7.28002 | −0.350666 | −0.175333 | − | 0.984509i | \(-0.556100\pi\) | ||||
−0.175333 | + | 0.984509i | \(0.556100\pi\) | |||||||
\(432\) | 11.2969 | + | 17.4465i | 0.543522 | + | 0.839395i | ||||
\(433\) | −19.9763 | −0.960002 | −0.480001 | − | 0.877268i | \(-0.659364\pi\) | ||||
−0.480001 | + | 0.877268i | \(0.659364\pi\) | |||||||
\(434\) | −22.9186 | − | 5.93638i | −1.10013 | − | 0.284956i | ||||
\(435\) | −8.97401 | − | 15.3346i | −0.430271 | − | 0.735236i | ||||
\(436\) | −4.14966 | + | 1.18650i | −0.198733 | + | 0.0568232i | ||||
\(437\) | 15.6201 | + | 4.18539i | 0.747210 | + | 0.200214i | ||||
\(438\) | −2.50696 | − | 8.85049i | −0.119787 | − | 0.422893i | ||||
\(439\) | 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 | ||||
\(443\) | 28.7698 | − | 7.70884i | 1.36689 | − | 0.366258i | 0.500550 | − | 0.865708i | \(-0.333131\pi\) |
0.866343 | + | 0.499450i | \(0.166464\pi\) | |||||||
\(444\) | −11.7965 | + | 12.3415i | −0.559835 | + | 0.585700i | ||||
\(445\) | 0.692173 | + | 0.185467i | 0.0328121 | + | 0.00879199i | ||||
\(446\) | −15.9448 | + | 16.2133i | −0.755010 | + | 0.767723i | ||||
\(447\) | 1.64771 | + | 6.00786i | 0.0779342 | + | 0.284162i | ||||
\(448\) | −20.0228 | − | 10.2594i | −0.945987 | − | 0.484710i | ||||
\(449\) | − | 26.8028i | − | 1.26490i | −0.774599 | − | 0.632452i | \(-0.782048\pi\) | ||
0.774599 | − | 0.632452i | \(-0.217952\pi\) | |||||||
\(450\) | 1.95385 | + | 6.74633i | 0.0921055 | + | 0.318025i | ||||
\(451\) | 13.2344 | + | 13.2344i | 0.623181 | + | 0.623181i | ||||
\(452\) | −13.2821 | + | 0.221796i | −0.624739 | + | 0.0104324i | ||||
\(453\) | 18.8141 | − | 0.110594i | 0.883964 | − | 0.00519616i | ||||
\(454\) | −15.6211 | + | 0.130418i | −0.733132 | + | 0.00612080i | ||||
\(455\) | −5.10961 | + | 2.95004i | −0.239542 | + | 0.138300i | ||||
\(456\) | 7.34993 | + | 11.8673i | 0.344192 | + | 0.555735i | ||||
\(457\) | 3.25342 | + | 1.87837i | 0.152189 | + | 0.0878662i | 0.574161 | − | 0.818743i | \(-0.305329\pi\) |
−0.421972 | + | 0.906609i | \(0.638662\pi\) | |||||||
\(458\) | 0.497588 | + | 0.281770i | 0.0232507 | + | 0.0131662i | ||||
\(459\) | 0.0640819 | + | 3.63351i | 0.00299109 | + | 0.169598i | ||||
\(460\) | 20.1378 | + | 5.03708i | 0.938928 | + | 0.234855i | ||||
\(461\) | 3.92641 | − | 1.05208i | 0.182871 | − | 0.0490002i | −0.166221 | − | 0.986088i | \(-0.553157\pi\) |
0.349092 | + | 0.937088i | \(0.386490\pi\) | |||||||
\(462\) | −0.587888 | − | 41.3197i | −0.0273510 | − | 1.92237i | ||||
\(463\) | −20.2888 | + | 11.7137i | −0.942899 | + | 0.544383i | −0.890868 | − | 0.454263i | \(-0.849903\pi\) |
−0.0520310 | + | 0.998645i | \(0.516569\pi\) | |||||||
\(464\) | 16.3859 | + | 15.3265i | 0.760697 | + | 0.711515i | ||||
\(465\) | 13.4112 | + | 13.2545i | 0.621930 | + | 0.614661i | ||||
\(466\) | −4.12238 | + | 15.9153i | −0.190966 | + | 0.737260i | ||||
\(467\) | −13.2570 | + | 13.2570i | −0.613463 | + | 0.613463i | −0.943847 | − | 0.330384i | \(-0.892822\pi\) |
0.330384 | + | 0.943847i | \(0.392822\pi\) | |||||||
\(468\) | −6.59520 | + | 1.96991i | −0.304863 | + | 0.0910591i | ||||
\(469\) | −26.5489 | − | 26.5489i | −1.22591 | − | 1.22591i | ||||
\(470\) | −7.44151 | − | 12.6441i | −0.343251 | − | 0.583229i | ||||
\(471\) | 4.51977 | + | 16.4799i | 0.208260 | + | 0.759354i | ||||
\(472\) | 20.8563 | + | 34.1211i | 0.959988 | + | 1.57055i | ||||
\(473\) | −22.0339 | − | 38.1638i | −1.01312 | − | 1.75477i | ||||
\(474\) | −8.12635 | − | 2.05400i | −0.373256 | − | 0.0943432i | ||||
\(475\) | 1.22086 | + | 4.55631i | 0.0560169 | + | 0.209058i | ||||
\(476\) | −2.02344 | − | 3.37335i | −0.0927443 | − | 0.154617i | ||||
\(477\) | −5.10743 | − | 18.2025i | −0.233853 | − | 0.833434i | ||||
\(478\) | 4.24372 | − | 1.17516i | 0.194103 | − | 0.0537506i | ||||
\(479\) | −17.6429 | + | 30.5584i | −0.806124 | + | 1.39625i | 0.109405 | + | 0.993997i | \(0.465105\pi\) |
−0.915529 | + | 0.402251i | \(0.868228\pi\) | |||||||
\(480\) | 9.68783 | + | 15.0738i | 0.442187 | + | 0.688024i | ||||
\(481\) | −2.82689 | − | 4.89631i | −0.128895 | − | 0.223252i | ||||
\(482\) | −14.4525 | − | 14.2132i | −0.658295 | − | 0.647394i | ||||
\(483\) | 23.8592 | − | 13.9627i | 1.08563 | − | 0.635326i | ||||
\(484\) | −49.9658 | + | 0.834372i | −2.27117 | + | 0.0379260i | ||||
\(485\) | −2.26403 | + | 2.26403i | −0.102804 | + | 0.102804i | ||||
\(486\) | −16.1655 | − | 14.9892i | −0.733283 | − | 0.679924i | ||||
\(487\) | −12.1433 | −0.550266 | −0.275133 | − | 0.961406i | \(-0.588722\pi\) | ||||
−0.275133 | + | 0.961406i | \(0.588722\pi\) | |||||||
\(488\) | 34.0385 | + | 18.5314i | 1.54085 | + | 0.838878i | ||||
\(489\) | −2.27376 | + | 8.68979i | −0.102823 | + | 0.392966i | ||||
\(490\) | 2.35047 | − | 0.0196237i | 0.106183 | − | 0.000886509i | ||||
\(491\) | −0.200028 | + | 0.746514i | −0.00902713 | + | 0.0336897i | −0.970293 | − | 0.241935i | \(-0.922218\pi\) |
0.961265 | + | 0.275625i | \(0.0888846\pi\) | |||||||
\(492\) | −9.23550 | + | 5.61383i | −0.416368 | + | 0.253091i | ||||
\(493\) | 1.01532 | + | 3.78924i | 0.0457279 | + | 0.170659i | ||||
\(494\) | −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 | ||||
\(498\) | 1.49680 | + | 2.50940i | 0.0670733 | + | 0.112449i | ||||
\(499\) | −0.210439 | + | 0.785369i | −0.00942054 | + | 0.0351579i | −0.970476 | − | 0.241197i | \(-0.922460\pi\) |
0.961056 | + | 0.276355i | \(0.0891266\pi\) | |||||||
\(500\) | 6.69218 | + | 23.4052i | 0.299283 | + | 1.04671i | ||||
\(501\) | 30.2834 | + | 17.2476i | 1.35296 | + | 0.770565i | ||||
\(502\) | −5.27738 | + | 3.10593i | −0.235541 | + | 0.138624i | ||||
\(503\) | − | 5.40486i | − | 0.240991i | −0.992714 | − | 0.120495i | \(-0.961552\pi\) | ||
0.992714 | − | 0.120495i | \(-0.0384483\pi\) | |||||||
\(504\) | 23.2614 | + | 5.32389i | 1.03615 | + | 0.237145i | ||||
\(505\) | − | 1.54576i | − | 0.0687852i | ||||||
\(506\) | −24.4211 | − | 41.4947i | −1.08565 | − | 1.84467i | ||||
\(507\) | 0.118957 | + | 20.2369i | 0.00528308 | + | 0.898751i | ||||
\(508\) | 13.4207 | − | 24.1685i | 0.595449 | − | 1.07231i | ||||
\(509\) | −7.42301 | + | 27.7030i | −0.329019 | + | 1.22792i | 0.581191 | + | 0.813768i | \(0.302587\pi\) |
−0.910210 | + | 0.414148i | \(0.864080\pi\) | |||||||
\(510\) | 0.0445706 | + | 3.13264i | 0.00197362 | + | 0.138716i | ||||
\(511\) | −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 | ||||
\(515\) | −5.02052 | − | 18.7368i | −0.221231 | − | 0.825644i | ||||
\(516\) | 24.4253 | − | 7.13944i | 1.07526 | − | 0.314296i | ||||
\(517\) | −8.80753 | + | 32.8701i | −0.387355 | + | 1.44563i | ||||
\(518\) | 0.163639 | + | 19.6002i | 0.00718989 | + | 0.861185i | ||||
\(519\) | 12.8908 | + | 12.7401i | 0.565841 | + | 0.559228i | ||||
\(520\) | −5.69152 | + | 1.67889i | −0.249590 | + | 0.0736241i | ||||
\(521\) | 12.8208 | 0.561689 | 0.280845 | − | 0.959753i | \(-0.409385\pi\) | ||||
0.280845 | + | 0.959753i | \(0.409385\pi\) | |||||||
\(522\) | −20.8444 | − | 11.4821i | −0.912333 | − | 0.502556i | ||||
\(523\) | −2.08204 | + | 2.08204i | −0.0910411 | + | 0.0910411i | −0.751161 | − | 0.660120i | \(-0.770506\pi\) |
0.660120 | + | 0.751161i | \(0.270506\pi\) | |||||||
\(524\) | −13.3640 | − | 12.9250i | −0.583811 | − | 0.564633i | ||||
\(525\) | 7.00701 | + | 3.99077i | 0.305811 | + | 0.174171i | ||||
\(526\) | −3.02013 | + | 3.07098i | −0.131684 | + | 0.133901i | ||||
\(527\) | −2.08161 | − | 3.60545i | −0.0906762 | − | 0.157056i | ||||
\(528\) | 9.17237 | − | 40.5366i | 0.399176 | − | 1.76413i | ||||
\(529\) | 4.60471 | − | 7.97560i | 0.200205 | − | 0.346765i | ||||
\(530\) | −4.34965 | − | 15.7074i | −0.188937 | − | 0.682285i | ||||
\(531\) | −30.3434 | − | 29.6382i | −1.31679 | − | 1.28619i | ||||
\(532\) | 15.5474 | + | 3.88888i | 0.674063 | + | 0.168604i | ||||
\(533\) | −0.926356 | − | 3.45721i | −0.0401249 | − | 0.149748i | ||||
\(534\) | 0.923464 | − | 0.261578i | 0.0399622 | − | 0.0113196i | ||||
\(535\) | −8.27485 | − | 14.3325i | −0.357753 | − | 0.619647i | ||||
\(536\) | −19.6938 | − | 32.2193i | −0.850643 | − | 1.39166i | ||||
\(537\) | −29.5129 | − | 7.72231i | −1.27358 | − | 0.333242i | ||||
\(538\) | 3.44121 | − | 2.02528i | 0.148361 | − | 0.0873158i | ||||
\(539\) | −3.85515 | − | 3.85515i | −0.166053 | − | 0.166053i | ||||
\(540\) | −13.8923 | − | 12.9697i | −0.597829 | − | 0.558127i | ||||
\(541\) | 22.7002 | − | 22.7002i | 0.975956 | − | 0.975956i | −0.0237613 | − | 0.999718i | \(-0.507564\pi\) |
0.999718 | + | 0.0237613i | \(0.00756417\pi\) | |||||||
\(542\) | 19.0785 | + | 4.94172i | 0.819490 | + | 0.212265i | ||||
\(543\) | −5.65542 | + | 21.6137i | −0.242697 | + | 0.927534i | ||||
\(544\) | −1.18254 | − | 3.77541i | −0.0507011 | − | 0.161869i | ||||
\(545\) | 3.41779 | − | 1.97326i | 0.146402 | − | 0.0845253i | ||||
\(546\) | −3.85350 | + | 6.89930i | −0.164914 | + | 0.295263i | ||||
\(547\) | 19.9084 | − | 5.33444i | 0.851222 | − | 0.228084i | 0.193271 | − | 0.981145i | \(-0.438090\pi\) |
0.657951 | + | 0.753061i | \(0.271424\pi\) | |||||||
\(548\) | −20.4648 | + | 12.2755i | −0.874214 | + | 0.524382i | ||||
\(549\) | −39.8287 | − | 10.1718i | −1.69985 | − | 0.434120i | ||||
\(550\) | 6.92045 | − | 12.2211i | 0.295089 | − | 0.521109i | ||||
\(551\) | −13.8413 | − | 7.99125i | −0.589657 | − | 0.340439i | ||||
\(552\) | 26.6206 | − | 8.02296i | 1.13305 | − | 0.341480i | ||||
\(553\) | −8.33402 | + | 4.81165i | −0.354399 | + | 0.204612i | ||||
\(554\) | 0.369448 | + | 44.2514i | 0.0156963 | + | 1.88006i | ||||
\(555\) | 7.72594 | − | 13.5652i | 0.327948 | − | 0.575813i | ||||
\(556\) | −1.79661 | − | 1.73760i | −0.0761934 | − | 0.0736905i | ||||
\(557\) | 10.7551 | + | 10.7551i | 0.455708 | + | 0.455708i | 0.897244 | − | 0.441535i | \(-0.145566\pi\) |
−0.441535 | + | 0.897244i | \(0.645566\pi\) | |||||||
\(558\) | 24.5212 | + | 6.04481i | 1.03807 | + | 0.255897i | ||||
\(559\) | 8.42723i | 0.356434i | ||||||||
\(560\) | 20.0381 | + | 4.65807i | 0.846763 | + | 0.196840i | ||||
\(561\) | 5.10809 | − | 5.16850i | 0.215664 | − | 0.218214i | ||||
\(562\) | −22.9381 | − | 22.5582i | −0.967585 | − | 0.951562i | ||||
\(563\) | −20.7659 | − | 5.56420i | −0.875177 | − | 0.234503i | −0.206852 | − | 0.978372i | \(-0.566322\pi\) |
−0.668325 | + | 0.743869i | \(0.732988\pi\) | |||||||
\(564\) | −17.2355 | − | 9.43871i | −0.725746 | − | 0.397442i | ||||
\(565\) | 11.7330 | − | 3.14385i | 0.493611 | − | 0.132263i | ||||
\(566\) | 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 | −0.902788 | − | 0.430087i | \(-0.858483\pi\) |
0.823860 | + | 0.566794i | \(0.191816\pi\) | |||||||
\(570\) | −9.15309 | − | 8.89629i | −0.383381 | − | 0.372624i | ||||
\(571\) | 16.3264 | + | 4.37466i | 0.683241 | + | 0.183074i | 0.583712 | − | 0.811961i | \(-0.301600\pi\) |
0.0995287 | + | 0.995035i | \(0.468266\pi\) | |||||||
\(572\) | 12.0329 | + | 6.68183i | 0.503120 | + | 0.279381i | ||||
\(573\) | −6.13083 | + | 0.0360386i | −0.256119 | + | 0.00150553i | ||||
\(574\) | −3.11139 | + | 12.0121i | −0.129867 | + | 0.501375i | ||||
\(575\) | 9.39535 | 0.391813 | ||||||||
\(576\) | 21.4866 | + | 10.6924i | 0.895274 | + | 0.445516i | ||||
\(577\) | −9.76787 | −0.406642 | −0.203321 | − | 0.979112i | \(-0.565173\pi\) | ||||
−0.203321 | + | 0.979112i | \(0.565173\pi\) | |||||||
\(578\) | −5.85489 | + | 22.6039i | −0.243531 | + | 0.940200i | ||||
\(579\) | 12.7380 | − | 22.3654i | 0.529371 | − | 0.929473i | ||||
\(580\) | −17.9362 | − | 9.95995i | −0.744762 | − | 0.413565i | ||||
\(581\) | 3.24034 | + | 0.868246i | 0.134432 | + | 0.0360209i | ||||
\(582\) | −1.05090 | + | 4.15775i | −0.0435613 | + | 0.172344i | ||||
\(583\) | −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 | ||||
\(587\) | −22.1733 | + | 5.94132i | −0.915190 | + | 0.245224i | −0.685528 | − | 0.728046i | \(-0.740429\pi\) |
−0.229662 | + | 0.973271i | \(0.573762\pi\) | |||||||
\(588\) | 2.69029 | − | 1.63530i | 0.110946 | − | 0.0674388i | ||||
\(589\) | 16.3836 | + | 4.38996i | 0.675073 | + | 0.180885i | ||||
\(590\) | −26.0720 | − | 25.6403i | −1.07337 | − | 1.05559i | ||||
\(591\) | −28.2245 | − | 7.38518i | −1.16100 | − | 0.303786i | ||||
\(592\) | −4.46362 | + | 19.2016i | −0.183454 | + | 0.789180i | ||||
\(593\) | − | 1.37926i | − | 0.0566394i | −0.999599 | − | 0.0283197i | \(-0.990984\pi\) | ||
0.999599 | − | 0.0283197i | \(-0.00901564\pi\) | |||||||
\(594\) | 1.14528 | + | 44.0676i | 0.0469912 | + | 1.80812i | ||||
\(595\) | 2.54344 | + | 2.54344i | 0.104271 | + | 0.104271i | ||||
\(596\) | 5.17076 | + | 5.00091i | 0.211803 | + | 0.204845i | ||||
\(597\) | −13.6459 | − | 23.3177i | −0.558488 | − | 0.954330i | ||||
\(598\) | 0.0768689 | + | 9.20714i | 0.00314340 | + | 0.376508i | ||||
\(599\) | 26.6820 | − | 15.4049i | 1.09020 | − | 0.629425i | 0.156568 | − | 0.987667i | \(-0.449957\pi\) |
0.933629 | + | 0.358242i | \(0.116624\pi\) | |||||||
\(600\) | 5.90929 | + | 5.55466i | 0.241246 | + | 0.226768i | ||||
\(601\) | −2.43951 | − | 1.40845i | −0.0995098 | − | 0.0574520i | 0.449419 | − | 0.893321i | \(-0.351631\pi\) |
−0.548929 | + | 0.835869i | \(0.684964\pi\) | |||||||
\(602\) | 14.3963 | − | 25.4230i | 0.586751 | − | 1.03616i | ||||
\(603\) | 28.6521 | + | 27.9862i | 1.16680 | + | 1.13969i | ||||
\(604\) | 18.6304 | − | 11.1751i | 0.758062 | − | 0.454710i | ||||
\(605\) | 44.1382 | − | 11.8268i | 1.79447 | − | 0.480828i | ||||
\(606\) | −1.06059 | − | 1.77809i | −0.0430836 | − | 0.0722299i | ||||
\(607\) | −26.2297 | + | 15.1437i | −1.06463 | + | 0.614666i | −0.926710 | − | 0.375777i | \(-0.877376\pi\) |
−0.137922 | + | 0.990443i | \(0.544042\pi\) | |||||||
\(608\) | 14.2831 | + | 7.46968i | 0.579258 | + | 0.302935i | ||||
\(609\) | −26.3491 | + | 7.22648i | −1.06772 | + | 0.292832i | ||||
\(610\) | −34.3065 | − | 8.88610i | −1.38903 | − | 0.359788i | ||||
\(611\) | 4.60158 | − | 4.60158i | 0.186160 | − | 0.186160i | ||||
\(612\) | 2.20067 | + | 3.57291i | 0.0889569 | + | 0.144426i | ||||
\(613\) | 3.66344 | + | 3.66344i | 0.147965 | + | 0.147965i | 0.777208 | − | 0.629243i | \(-0.216635\pi\) |
−0.629243 | + | 0.777208i | \(0.716635\pi\) | |||||||
\(614\) | 41.5107 | − | 24.4305i | 1.67523 | − | 0.985935i | ||||
\(615\) | 6.94694 | − | 7.02910i | 0.280128 | − | 0.283441i | ||||
\(616\) | −24.8858 | − | 40.7134i | −1.00268 | − | 1.64039i | ||||
\(617\) | 13.2053 | + | 22.8722i | 0.531624 | + | 0.920799i | 0.999319 | + | 0.0369091i | \(0.0117512\pi\) |
−0.467695 | + | 0.883890i | \(0.654915\pi\) | |||||||
\(618\) | −18.6310 | − | 18.1083i | −0.749450 | − | 0.728424i | ||||
\(619\) | −12.6542 | − | 47.2262i | −0.508617 | − | 1.89818i | −0.433858 | − | 0.900981i | \(-0.642848\pi\) |
−0.0747583 | − | 0.997202i | \(-0.523819\pi\) | |||||||
\(620\) | 21.1221 | + | 5.28329i | 0.848282 | + | 0.212182i | ||||
\(621\) | −25.2750 | + | 15.1930i | −1.01425 | + | 0.609674i | ||||
\(622\) | 3.96218 | + | 14.3081i | 0.158869 | + | 0.573704i | ||||
\(623\) | 0.550972 | − | 0.954312i | 0.0220742 | − | 0.0382337i | ||||
\(624\) | −5.39504 | + | 5.83636i | −0.215975 | + | 0.233641i | ||||
\(625\) | −6.99103 | − | 12.1088i | −0.279641 | − | 0.484353i | ||||
\(626\) | 21.9134 | − | 22.2823i | 0.875834 | − | 0.890582i | ||||
\(627\) | 0.174028 | + | 29.6054i | 0.00695000 | + | 1.18232i | ||||
\(628\) | 14.1837 | + | 13.7178i | 0.565991 | + | 0.547399i | ||||
\(629\) | −2.43726 | + | 2.43726i | −0.0971799 | + | 0.0971799i | ||||
\(630\) | −21.8159 | + | 0.438667i | −0.869165 | + | 0.0174769i | ||||
\(631\) | −36.5500 | −1.45503 | −0.727516 | − | 0.686090i | \(-0.759325\pi\) | ||||
−0.727516 | + | 0.686090i | \(0.759325\pi\) | |||||||
\(632\) | −9.28314 | + | 2.73834i | −0.369264 | + | 0.108926i | ||||
\(633\) | 26.9801 | − | 7.39954i | 1.07236 | − | 0.294105i | ||||
\(634\) | −0.260747 | − | 31.2315i | −0.0103556 | − | 1.24036i | ||||
\(635\) | −6.54255 | + | 24.4171i | −0.259633 | + | 0.968964i | ||||
\(636\) | −15.7807 | − | 15.0838i | −0.625747 | − | 0.598113i | ||||
\(637\) | 0.269847 | + | 1.00708i | 0.0106917 | + | 0.0399020i | ||||
\(638\) | 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 | \(0.710021\pi\) | |||||||
\(642\) | −19.3525 | − | 10.8091i | −0.763784 | − | 0.426600i | ||||
\(643\) | −7.59808 | + | 28.3564i | −0.299639 | + | 1.11827i | 0.637823 | + | 0.770183i | \(0.279835\pi\) |
−0.937463 | + | 0.348086i | \(0.886832\pi\) | |||||||
\(644\) | 15.4968 | − | 27.9071i | 0.610658 | − | 1.09969i | ||||
\(645\) | −20.0829 | + | 11.7528i | −0.790764 | + | 0.462766i | ||||
\(646\) | 1.42944 | + | 2.42880i | 0.0562405 | + | 0.0955599i | ||||
\(647\) | 1.90726i | 0.0749821i | 0.999297 | + | 0.0374911i | \(0.0119366\pi\) | ||||
−0.999297 | + | 0.0374911i | \(0.988063\pi\) | |||||||
\(648\) | −24.8793 | − | 5.38718i | −0.977350 | − | 0.211628i | ||||
\(649\) | 84.8166i | 3.32934i | ||||||||
\(650\) | −2.31466 | + | 1.36226i | −0.0907884 | + | 0.0534322i | ||||
\(651\) | 25.0254 | − | 14.6452i | 0.980821 | − | 0.573991i | ||||
\(652\) | 2.85135 | + | 9.97229i | 0.111667 | + | 0.390545i | ||||
\(653\) | −5.94070 | + | 22.1710i | −0.232478 | + | 0.867618i | 0.746792 | + | 0.665057i | \(0.231593\pi\) |
−0.979270 | + | 0.202560i | \(0.935074\pi\) | |||||||
\(654\) | 2.57758 | − | 4.61490i | 0.100791 | − | 0.180457i | ||||
\(655\) | 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 | ||||
\(659\) | −3.86006 | − | 14.4059i | −0.150366 | − | 0.561175i | −0.999458 | − | 0.0329291i | \(-0.989516\pi\) |
0.849091 | − | 0.528246i | \(-0.177150\pi\) | |||||||
\(660\) | 0.857882 | + | 37.9941i | 0.0333930 | + | 1.47892i | ||||
\(661\) | 9.76236 | − | 36.4336i | 0.379712 | − | 1.41710i | −0.466625 | − | 0.884455i | \(-0.654530\pi\) |
0.846337 | − | 0.532648i | \(-0.178803\pi\) | |||||||
\(662\) | 4.63715 | − | 0.0387148i | 0.180228 | − | 0.00150469i | ||||
\(663\) | −1.34016 | + | 0.367552i | −0.0520476 | + | 0.0142745i | ||||
\(664\) | 2.96323 | + | 1.61326i | 0.114996 | + | 0.0626065i | ||||
\(665\) | −14.6545 | −0.568278 | ||||||||
\(666\) | −0.420355 | − | 20.9052i | −0.0162884 | − | 0.810058i | ||||
\(667\) | −22.5099 | + | 22.5099i | −0.871586 | + | 0.871586i | ||||
\(668\) | 40.2364 | − | 0.671901i | 1.55679 | − | 0.0259966i | ||||
\(669\) | −0.163711 | − | 27.8503i | −0.00632943 | − | 1.07675i | ||||
\(670\) | 24.6188 | + | 24.2112i | 0.951109 | + | 0.935359i | ||||
\(671\) | 41.0993 | + | 71.1860i | 1.58662 | + | 2.74811i | ||||
\(672\) | 26.2459 | − | 8.39053i | 1.01246 | − | 0.323672i | ||||
\(673\) | −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 | ||||
\(675\) | −7.52430 | − | 4.16901i | −0.289611 | − | 0.160465i | ||||
\(676\) | 12.0202 | + | 20.0393i | 0.462317 | + | 0.770743i | ||||
\(677\) | 8.14191 | + | 30.3860i | 0.312919 | + | 1.16783i | 0.925911 | + | 0.377741i | \(0.123299\pi\) |
−0.612992 | + | 0.790089i | \(0.710034\pi\) | |||||||
\(678\) | 11.3394 | − | 11.6668i | 0.435488 | − | 0.448059i | ||||
\(679\) | 2.46182 | + | 4.26400i | 0.0944760 | + | 0.163637i | ||||
\(680\) | 1.88671 | + | 3.08668i | 0.0723520 | + | 0.118369i | ||||
\(681\) | 13.4489 | − | 13.6080i | 0.515365 | − | 0.521459i | ||||
\(682\) | −25.6148 | − | 43.5229i | −0.980841 | − | 1.66658i | ||||
\(683\) | 24.1502 | + | 24.1502i | 0.924081 | + | 0.924081i | 0.997315 | − | 0.0732336i | \(-0.0233319\pi\) |
−0.0732336 | + | 0.997315i | \(0.523332\pi\) | |||||||
\(684\) | −16.6329 | − | 3.95322i | −0.635973 | − | 0.151155i | ||||
\(685\) | 15.4301 | − | 15.4301i | 0.589553 | − | 0.589553i | ||||
\(686\) | −6.07443 | + | 23.4515i | −0.231923 | + | 0.895382i | ||||
\(687\) | −0.675403 | + | 0.185236i | −0.0257682 | + | 0.00706718i | ||||
\(688\) | 20.0723 | − | 21.4598i | 0.765251 | − | 0.818148i | ||||
\(689\) | 6.26079 | − | 3.61467i | 0.238517 | − | 0.137708i | ||||
\(690\) | −21.8343 | + | 13.0237i | −0.831217 | + | 0.495803i | ||||
\(691\) | 39.9843 | − | 10.7138i | 1.52108 | − | 0.407571i | 0.600980 | − | 0.799264i | \(-0.294777\pi\) |
0.920096 | + | 0.391693i | \(0.128111\pi\) | |||||||
\(692\) | 20.3024 | + | 5.07826i | 0.771781 | + | 0.193046i | ||||
\(693\) | 36.2058 | + | 35.3643i | 1.37534 | + | 1.34338i | ||||
\(694\) | 9.66981 | + | 5.47574i | 0.367061 | + | 0.207856i | ||||
\(695\) | 1.97928 | + | 1.14273i | 0.0750782 | + | 0.0433464i | ||||
\(696\) | −27.4660 | + | 0.849631i | −1.04109 | + | 0.0322052i | ||||
\(697\) | −1.88969 | + | 1.09101i | −0.0715772 | + | 0.0413251i | ||||
\(698\) | 30.7147 | − | 0.256432i | 1.16257 | − | 0.00970610i | ||||
\(699\) | −10.1700 | − | 17.3783i | −0.384666 | − | 0.657307i | ||||
\(700\) | 9.30995 | − | 0.155465i | 0.351883 | − | 0.00587604i | ||||
\(701\) | −21.1814 | − | 21.1814i | −0.800009 | − | 0.800009i | 0.183088 | − | 0.983097i | \(-0.441391\pi\) |
−0.983097 | + | 0.183088i | \(0.941391\pi\) | |||||||
\(702\) | 4.02393 | − | 7.40768i | 0.151873 | − | 0.279585i | ||||
\(703\) | − | 14.0428i | − | 0.529633i | ||||||
\(704\) | −14.7265 | − | 45.6756i | −0.555024 | − | 1.72146i | ||||
\(705\) | 17.3835 | + | 4.54854i | 0.654699 | + | 0.171308i | ||||
\(706\) | 0.124644 | − | 0.126743i | 0.00469104 | − | 0.00477003i | ||||
\(707\) | −2.29601 | − | 0.615214i | −0.0863503 | − | 0.0231375i | ||||
\(708\) | −47.5833 | − | 11.6053i | −1.78829 | − | 0.436154i | ||||
\(709\) | −15.8532 | + | 4.24787i | −0.595381 | + | 0.159532i | −0.543911 | − | 0.839143i | \(-0.683057\pi\) |
−0.0514698 | + | 0.998675i | \(0.516391\pi\) | |||||||
\(710\) | −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 | ||||
\(714\) | 4.67085 | + | 1.18059i | 0.174802 | + | 0.0441827i | ||||
\(715\) | −12.1566 | − | 3.25736i | −0.454633 | − | 0.121819i | ||||
\(716\) | −33.8686 | + | 9.68396i | −1.26573 | + | 0.361906i | ||||
\(717\) | −2.66904 | + | 4.68631i | −0.0996771 | + | 0.175014i | ||||
\(718\) | 5.57764 | + | 1.44472i | 0.208156 | + | 0.0539166i | ||||
\(719\) | −23.3461 | −0.870664 | −0.435332 | − | 0.900270i | \(-0.643369\pi\) | ||||
−0.435332 | + | 0.900270i | \(0.643369\pi\) | |||||||
\(720\) | −21.4327 | − | 4.71739i | −0.798748 | − | 0.175807i | ||||
\(721\) | −29.8292 | −1.11090 | ||||||||
\(722\) | 14.8966 | + | 3.85854i | 0.554395 | + | 0.143600i | ||||
\(723\) | 24.8257 | − | 0.145932i | 0.923278 | − | 0.00542726i | ||||
\(724\) | 7.09203 | + | 24.8036i | 0.263573 | + | 0.921819i | ||||
\(725\) | −8.96937 | − | 2.40334i | −0.333114 | − | 0.0892576i | ||||
\(726\) | 42.6577 | − | 43.8890i | 1.58317 | − | 1.62887i | ||||
\(727\) | −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 | ||||
\(731\) | 4.96258 | − | 1.32972i | 0.183548 | − | 0.0491814i | ||||
\(732\) | −45.5599 | + | 13.3170i | −1.68394 | + | 0.492212i | ||||
\(733\) | 0.898647 | + | 0.240792i | 0.0331923 | + | 0.00889384i | 0.275377 | − | 0.961336i | \(-0.411197\pi\) |
−0.242185 | + | 0.970230i | \(0.577864\pi\) | |||||||
\(734\) | 5.68285 | − | 5.77854i | 0.209758 | − | 0.213290i | ||||
\(735\) | −2.02364 | + | 2.04757i | −0.0746430 | + | 0.0755257i | ||||
\(736\) | 21.7342 | − | 23.6289i | 0.801134 | − | 0.870973i | ||||
\(737\) | − | 80.0891i | − | 2.95012i | ||||||
\(738\) | 3.16822 | − | 12.8521i | 0.116624 | − | 0.473093i | ||||
\(739\) | 5.91328 | + | 5.91328i | 0.217523 | + | 0.217523i | 0.807454 | − | 0.589931i | \(-0.200845\pi\) |
−0.589931 | + | 0.807454i | \(0.700845\pi\) | |||||||
\(740\) | −0.300974 | − | 18.0236i | −0.0110640 | − | 0.662561i | ||||
\(741\) | 2.80195 | − | 4.91968i | 0.102932 | − | 0.180729i | ||||
\(742\) | −25.0624 | + | 0.209242i | −0.920068 | + | 0.00768150i | ||||
\(743\) | 20.3899 | − | 11.7721i | 0.748032 | − | 0.431876i | −0.0769504 | − | 0.997035i | \(-0.524518\pi\) |
0.824982 | + | 0.565158i | \(0.191185\pi\) | |||||||
\(744\) | 27.9218 | − | 8.41511i | 1.02366 | − | 0.308513i | ||||
\(745\) | −5.69647 | − | 3.28886i | −0.208703 | − | 0.120494i | ||||
\(746\) | −25.1502 | − | 14.2418i | −0.920814 | − | 0.521431i | ||||
\(747\) | −3.46730 | − | 0.885505i | −0.126862 | − | 0.0323989i | ||||
\(748\) | 2.03611 | − | 8.14017i | 0.0744475 | − | 0.297634i | ||||
\(749\) | −24.5823 | + | 6.58682i | −0.898219 | + | 0.240677i | ||||
\(750\) | −26.0292 | − | 14.5382i | −0.950453 | − | 0.530861i | ||||
\(751\) | 13.0649 | − | 7.54301i | 0.476744 | − | 0.275248i | −0.242315 | − | 0.970198i | \(-0.577907\pi\) |
0.719059 | + | 0.694949i | \(0.244573\pi\) | |||||||
\(752\) | −22.6781 | + | 0.757607i | −0.826985 | + | 0.0276271i | ||||
\(753\) | 1.89846 | − | 7.25549i | 0.0691838 | − | 0.264405i | ||||
\(754\) | 2.28181 | − | 8.80936i | 0.0830985 | − | 0.320818i | ||||
\(755\) | −14.0470 | + | 14.0470i | −0.511222 | + | 0.511222i | ||||
\(756\) | −24.7939 | + | 15.4731i | −0.901745 | + | 0.562752i | ||||
\(757\) | 4.48920 | + | 4.48920i | 0.163163 | + | 0.163163i | 0.783966 | − | 0.620803i | \(-0.213193\pi\) |
−0.620803 | + | 0.783966i | \(0.713193\pi\) | |||||||
\(758\) | −2.89388 | − | 4.91709i | −0.105111 | − | 0.178597i | ||||
\(759\) | 57.0481 | + | 14.9271i | 2.07071 | + | 0.541821i | ||||
\(760\) | −14.3276 | − | 3.45694i | −0.519717 | − | 0.125396i | ||||
\(761\) | −19.0628 | − | 33.0177i | −0.691025 | − | 1.19689i | −0.971502 | − | 0.237030i | \(-0.923826\pi\) |
0.280477 | − | 0.959861i | \(-0.409507\pi\) | |||||||
\(762\) | 9.22742 | + | 32.5762i | 0.334274 | + | 1.18011i | ||||
\(763\) | −1.57072 | − | 5.86202i | −0.0568640 | − | 0.212219i | ||||
\(764\) | −6.07099 | + | 3.64157i | −0.219641 | + | 0.131747i | ||||
\(765\) | −2.74493 | − | 2.68114i | −0.0992433 | − | 0.0969368i | ||||
\(766\) | 21.2270 | − | 5.87813i | 0.766963 | − | 0.212385i | ||||
\(767\) | 8.10989 | − | 14.0467i | 0.292831 | − | 0.507198i | ||||
\(768\) | 27.6397 | − | 2.01205i | 0.997361 | − | 0.0726034i | ||||
\(769\) | 17.5683 | + | 30.4291i | 0.633528 | + | 1.09730i | 0.986825 | + | 0.161791i | \(0.0517271\pi\) |
−0.353297 | + | 0.935511i | \(0.614940\pi\) | |||||||
\(770\) | 31.1092 | + | 30.5940i | 1.12110 | + | 1.10253i | ||||
\(771\) | −4.83265 | − | 2.75238i | −0.174044 | − | 0.0991247i | ||||
\(772\) | −0.496223 | − | 29.7160i | −0.0178595 | − | 1.06950i | ||||
\(773\) | 23.4773 | − | 23.4773i | 0.844420 | − | 0.844420i | −0.145010 | − | 0.989430i | \(-0.546322\pi\) |
0.989430 | + | 0.145010i | \(0.0463216\pi\) | |||||||
\(774\) | −15.0375 | + | 27.2988i | −0.540511 | + | 0.981235i | ||||
\(775\) | 9.85458 | 0.353987 | ||||||||
\(776\) | 1.40104 | + | 4.74961i | 0.0502944 | + | 0.170501i | ||||
\(777\) | −17.0744 | − | 16.8748i | −0.612540 | − | 0.605381i | ||||
\(778\) | 39.4690 | − | 0.329520i | 1.41503 | − | 0.0118139i | ||||
\(779\) | 2.30087 | − | 8.58698i | 0.0824374 | − | 0.307660i | ||||
\(780\) | 3.49080 | − | 6.37436i | 0.124991 | − | 0.228239i | ||||
\(781\) | 11.2085 | + | 41.8308i | 0.401073 | + | 1.49682i | ||||
\(782\) | 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 | ||||
\(786\) | 22.7679 | − | 0.323937i | 0.812104 | − | 0.0115544i | ||||
\(787\) | 0.0559379 | − | 0.208763i | 0.00199397 | − | 0.00744160i | −0.964922 | − | 0.262538i | \(-0.915441\pi\) |
0.966916 | + | 0.255096i | \(0.0821072\pi\) | |||||||
\(788\) | −32.3900 | + | 9.26119i | −1.15385 | + | 0.329916i | ||||
\(789\) | −0.0310087 | − | 5.27515i | −0.00110394 | − | 0.187800i | ||||
\(790\) | 7.62723 | − | 4.48890i | 0.271365 | − | 0.159708i | ||||
\(791\) | − | 18.6790i | − | 0.664150i | ||||||
\(792\) | 27.0558 | + | 43.1162i | 0.961385 | + | 1.53207i | ||||
\(793\) | − | 15.7191i | − | 0.558202i | ||||||
\(794\) | 27.8159 | + | 47.2629i | 0.987151 | + | 1.67730i | ||||
\(795\) | 17.3456 | + | 9.87897i | 0.615183 | + | 0.350371i | ||||
\(796\) | −27.2738 | − | 15.1451i | −0.966693 | − | 0.536803i | ||||
\(797\) | −0.791183 | + | 2.95273i | −0.0280251 | + | 0.104591i | −0.978522 | − | 0.206144i | \(-0.933909\pi\) |
0.950497 | + | 0.310735i | \(0.100575\pi\) | |||||||
\(798\) | −16.8572 | + | 10.0549i | −0.596737 | + | 0.355940i | ||||
\(799\) | −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 | ||||
\(803\) | −5.83064 | − | 21.7602i | −0.205759 | − | 0.767902i | ||||
\(804\) | 44.9312 | + | 10.9585i | 1.58460 | + | 0.386475i | ||||
\(805\) | −7.55460 | + | 28.1942i | −0.266265 | + | 0.993714i | ||||
\(806\) | 0.0806262 | + | 9.65717i | 0.00283994 | + | 0.340159i | ||||
\(807\) | −1.23793 | + | 4.73107i | −0.0435771 | + | 0.166542i | ||||
\(808\) | −2.09966 | − | 1.14311i | −0.0738658 | − | 0.0402144i | ||||
\(809\) | −42.5506 | −1.49600 | −0.748000 | − | 0.663699i | \(-0.768986\pi\) | ||||
−0.748000 | + | 0.663699i | \(0.768986\pi\) | |||||||
\(810\) | 23.2651 | − | 0.741508i | 0.817452 | − | 0.0260540i | ||||
\(811\) | 15.1448 | − | 15.1448i | 0.531806 | − | 0.531806i | −0.389304 | − | 0.921109i | \(-0.627284\pi\) |
0.921109 | + | 0.389304i | \(0.127284\pi\) | |||||||
\(812\) | −21.9328 | + | 22.6777i | −0.769690 | + | 0.795833i | ||||
\(813\) | −20.8323 | + | 12.1913i | −0.730619 | + | 0.427569i | ||||
\(814\) | −29.3169 | + | 29.8105i | −1.02756 | + | 1.04486i | ||||
\(815\) | −4.74206 | − | 8.21348i | −0.166107 | − | 0.287706i | ||||
\(816\) | 4.28815 | + | 2.25609i | 0.150115 | + | 0.0789790i | ||||
\(817\) | −10.4657 | + | 18.1272i | −0.366150 | + | 0.634190i | ||||
\(818\) | 6.52560 | + | 23.5651i | 0.228162 | + | 0.823935i | ||||
\(819\) | −2.61473 | − | 9.31868i | −0.0913660 | − | 0.325621i | ||||
\(820\) | 2.76908 | − | 11.0705i | 0.0967006 | − | 0.386599i | ||||
\(821\) | 7.15352 | + | 26.6973i | 0.249660 | + | 0.931742i | 0.970984 | + | 0.239145i | \(0.0768671\pi\) |
−0.721324 | + | 0.692598i | \(0.756466\pi\) | |||||||
\(822\) | 7.16223 | − | 28.3363i | 0.249811 | − | 0.988343i | ||||
\(823\) | −10.1921 | − | 17.6532i | −0.355273 | − | 0.615350i | 0.631892 | − | 0.775057i | \(-0.282279\pi\) |
−0.987165 | + | 0.159706i | \(0.948945\pi\) | |||||||
\(824\) | −29.1637 | − | 7.03658i | −1.01597 | − | 0.245131i | ||||
\(825\) | 4.54951 | + | 16.5883i | 0.158394 | + | 0.577532i | ||||
\(826\) | −48.4618 | + | 28.5215i | −1.68620 | + | 0.992391i | ||||
\(827\) | −8.34698 | − | 8.34698i | −0.290253 | − | 0.290253i | 0.546927 | − | 0.837180i | \(-0.315797\pi\) |
−0.837180 | + | 0.546927i | \(0.815797\pi\) | |||||||
\(828\) | −16.1801 | + | 29.9624i | −0.562298 | + | 1.04126i | ||||
\(829\) | −2.48126 | + | 2.48126i | −0.0861778 | + | 0.0861778i | −0.748882 | − | 0.662704i | \(-0.769409\pi\) |
0.662704 | + | 0.748882i | \(0.269409\pi\) | |||||||
\(830\) | −2.98656 | − | 0.773582i | −0.103665 | − | 0.0268514i | ||||
\(831\) | −38.5488 | − | 38.0982i | −1.33724 | − | 1.32161i | ||||
\(832\) | −1.92846 | + | 8.97258i | −0.0668573 | + | 0.311068i | ||||
\(833\) | 0.550465 | − | 0.317811i | 0.0190725 | − | 0.0110115i | ||||
\(834\) | 3.06083 | − | 0.0435489i | 0.105988 | − | 0.00150797i | ||||
\(835\) | −35.5435 | + | 9.52386i | −1.23004 | + | 0.329587i | ||||
\(836\) | 17.5849 | + | 29.3164i | 0.608186 | + | 1.01393i | ||||
\(837\) | −26.5104 | + | 15.9356i | −0.916335 | + | 0.550815i | ||||
\(838\) | −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 | \(0.781730\pi\) | |||||||
\(840\) | −21.4203 | + | 13.2666i | −0.739071 | + | 0.457741i | ||||
\(841\) | 2.13260 | − | 1.23126i | 0.0735380 | − | 0.0424572i | ||||
\(842\) | 0.108732 | + | 13.0236i | 0.00374716 | + | 0.448824i | ||||
\(843\) | 39.4017 | − | 0.231613i | 1.35707 | − | 0.00797717i | ||||
\(844\) | 22.4580 | − | 23.2208i | 0.773038 | − | 0.799294i | ||||
\(845\) | −15.1092 | − | 15.1092i | −0.519774 | − | 0.519774i | ||||
\(846\) | 23.1172 | − | 6.69513i | 0.794785 | − | 0.230183i | ||||
\(847\) | − | 70.2684i | − | 2.41445i | ||||||
\(848\) | −24.5526 | − | 5.70753i | −0.843139 | − | 0.195997i | ||||
\(849\) | 1.12124 | + | 4.08825i | 0.0384809 | + | 0.140308i | ||||
\(850\) | 1.16743 | + | 1.14809i | 0.0400424 | + | 0.0393793i | ||||
\(851\) | −27.0172 | − | 7.23923i | −0.926137 | − | 0.248158i | ||||
\(852\) | −25.0013 | + | 0.564513i | −0.856531 | + | 0.0193399i | ||||
\(853\) | −15.1632 | + | 4.06296i | −0.519177 | + | 0.139113i | −0.508886 | − | 0.860834i | \(-0.669942\pi\) |
−0.0102909 | + | 0.999947i | \(0.503276\pi\) | |||||||
\(854\) | −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 | −0.867777 | − | 0.496953i | \(-0.834452\pi\) |
0.864263 | + | 0.503041i | \(0.167785\pi\) | |||||||
\(858\) | −16.2188 | + | 4.59409i | −0.553701 | + | 0.156840i | ||||
\(859\) | 2.73650 | + | 0.733242i | 0.0933681 | + | 0.0250179i | 0.305201 | − | 0.952288i | \(-0.401276\pi\) |
−0.211833 | + | 0.977306i | \(0.567943\pi\) | |||||||
\(860\) | −13.0440 | + | 23.4902i | −0.444798 | + | 0.801008i | ||||
\(861\) | −7.67587 | − | 13.1163i | −0.261593 | − | 0.447003i | ||||
\(862\) | 2.58155 | − | 9.96659i | 0.0879281 | − | 0.339463i | ||||
\(863\) | 26.9928 | 0.918846 | 0.459423 | − | 0.888218i | \(-0.348056\pi\) | ||||
0.459423 | + | 0.888218i | \(0.348056\pi\) | |||||||
\(864\) | −27.8908 | + | 9.27917i | −0.948864 | + | 0.315684i | ||||
\(865\) | −19.1365 | −0.650660 | ||||||||
\(866\) | 7.08378 | − | 27.3483i | 0.240717 | − | 0.929333i | ||||
\(867\) | −14.4442 | − | 24.6818i | −0.490550 | − | 0.838239i | ||||
\(868\) | 16.2542 | − | 29.2712i | 0.551704 | − | 0.993528i | ||||
\(869\) | −19.8281 | − | 5.31292i | −0.672621 | − | 0.180228i | ||||
\(870\) | 24.1758 | − | 6.84796i | 0.819636 | − | 0.232168i | ||||
\(871\) | −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 | ||||
\(875\) | −33.0633 | + | 8.85929i | −1.11774 | + | 0.299499i | ||||
\(876\) | 13.0056 | − | 0.293658i | 0.439419 | − | 0.00992177i | ||||
\(877\) | 52.0038 | + | 13.9344i | 1.75604 | + | 0.470531i | 0.985900 | − | 0.167338i | \(-0.0535171\pi\) |
0.770145 | + | 0.637869i | \(0.220184\pi\) | |||||||
\(878\) | 30.8813 | + | 30.3699i | 1.04219 | + | 1.02494i | ||||
\(879\) | −3.57143 | − | 13.0221i | −0.120461 | − | 0.439224i | ||||
\(880\) | 23.1982 | + | 37.2500i | 0.782010 | + | 1.25570i | ||||
\(881\) | 27.9049i | 0.940139i | 0.882629 | + | 0.470069i | \(0.155771\pi\) | ||||
−0.882629 | + | 0.470069i | \(0.844229\pi\) | |||||||
\(882\) | −0.922898 | + | 3.74381i | −0.0310756 | + | 0.126061i | ||||
\(883\) | 3.83601 | + | 3.83601i | 0.129092 | + | 0.129092i | 0.768701 | − | 0.639609i | \(-0.220904\pi\) |
−0.639609 | + | 0.768701i | \(0.720904\pi\) | |||||||
\(884\) | −1.11554 | + | 1.15343i | −0.0375198 | + | 0.0387941i | ||||
\(885\) | 44.7850 | − | 0.263257i | 1.50543 | − | 0.00884929i | ||||
\(886\) | 0.351656 | + | 42.1204i | 0.0118141 | + | 1.41506i | ||||
\(887\) | −44.3036 | + | 25.5787i | −1.48757 | + | 0.858849i | −0.999899 | − | 0.0141788i | \(-0.995487\pi\) |
−0.487671 | + | 0.873028i | \(0.662153\pi\) | |||||||
\(888\) | −12.7128 | − | 20.5261i | −0.426612 | − | 0.688812i | ||||
\(889\) | 33.6644 | + | 19.4361i | 1.12907 | + | 0.651867i | ||||
\(890\) | −0.499361 | + | 0.881840i | −0.0167386 | + | 0.0295593i | ||||
\(891\) | −39.0636 | − | 37.2685i | −1.30868 | − | 1.24854i | ||||
\(892\) | −16.5424 | − | 27.5784i | −0.553881 | − | 0.923393i | ||||
\(893\) | 15.6128 | − | 4.18343i | 0.522462 | − | 0.139993i | ||||
\(894\) | −8.80926 | + | 0.125336i | −0.294626 | + | 0.00419187i | ||||
\(895\) | 27.8952 | − | 16.1053i | 0.932434 | − | 0.538341i | ||||
\(896\) | 21.1457 | − | 23.7738i | 0.706427 | − | 0.794226i | ||||
\(897\) | −8.02063 | − | 7.92688i | −0.267801 | − | 0.264671i | ||||
\(898\) | 36.6940 | + | 9.50451i | 1.22449 | + | 0.317170i | ||||
\(899\) | −23.6101 | + | 23.6101i | −0.787442 | + | 0.787442i | ||||
\(900\) | −9.92880 | + | 0.282587i | −0.330960 | + | 0.00941957i | ||||
\(901\) | −3.11647 | − | 3.11647i | −0.103825 | − | 0.103825i | ||||
\(902\) | −22.8113 | + | 13.4253i | −0.759533 | + | 0.447012i | ||||
\(903\) | 9.46416 | + | 34.5081i | 0.314947 | + | 1.14836i | ||||
\(904\) | 4.40631 | − | 18.2623i | 0.146552 | − | 0.607396i | ||||
\(905\) | −11.7947 | − | 20.4290i | −0.392069 | − | 0.679084i | ||||
\(906\) | −6.52023 | + | 25.7964i | −0.216620 | + | 0.857026i | ||||
\(907\) | 2.67896 | + | 9.99802i | 0.0889535 | + | 0.331979i | 0.996033 | − | 0.0889794i | \(-0.0283605\pi\) |
−0.907080 | + | 0.420958i | \(0.861694\pi\) | |||||||
\(908\) | 5.36081 | − | 21.4320i | 0.177905 | − | 0.711246i | ||||
\(909\) | 2.45683 | + | 0.627443i | 0.0814878 | + | 0.0208110i | ||||
\(910\) | −2.22679 | − | 8.04134i | −0.0738173 | − | 0.266568i | ||||
\(911\) | 5.69107 | − | 9.85722i | 0.188553 | − | 0.326584i | −0.756215 | − | 0.654324i | \(-0.772953\pi\) |
0.944768 | + | 0.327739i | \(0.106287\pi\) | |||||||
\(912\) | −18.8530 | + | 5.85407i | −0.624286 | + | 0.193848i | ||||
\(913\) | 3.57791 | + | 6.19712i | 0.118411 | + | 0.205095i | ||||
\(914\) | −3.72524 | + | 3.78796i | −0.123220 | + | 0.125295i | ||||
\(915\) | 37.4602 | − | 21.9222i | 1.23839 | − | 0.724727i | ||||
\(916\) | −0.562201 | + | 0.581296i | −0.0185756 | + | 0.0192066i | ||||
\(917\) | 18.4856 | − | 18.4856i | 0.610447 | − | 0.610447i | ||||
\(918\) | −4.99712 | − | 1.20074i | −0.164930 | − | 0.0396304i | ||||
\(919\) | 11.8316 | 0.390288 | 0.195144 | − | 0.980775i | \(-0.437483\pi\) | ||||
0.195144 | + | 0.980775i | \(0.437483\pi\) | |||||||
\(920\) | −14.0369 | + | 25.7831i | −0.462785 | + | 0.850043i | ||||
\(921\) | −14.9329 | + | 57.0700i | −0.492055 | + | 1.88052i | ||||
\(922\) | 0.0479930 | + | 5.74846i | 0.00158056 | + | 0.189315i | ||||
\(923\) | 2.14345 | − | 7.99945i | 0.0705524 | − | 0.263305i | ||||
\(924\) | 56.7765 | + | 13.8475i | 1.86781 | + | 0.455548i | ||||
\(925\) | −2.11165 | − | 7.88080i | −0.0694307 | − | 0.259119i | ||||
\(926\) | −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 | \(0.430162\pi\) | |||||||
\(930\) | −22.9015 | + | 13.6602i | −0.750970 | + | 0.447937i | ||||
\(931\) | −0.670242 | + | 2.50138i | −0.0219663 | + | 0.0819794i | ||||
\(932\) | −20.3267 | − | 11.2874i | −0.665823 | − | 0.369730i | ||||
\(933\) | −15.8004 | − | 8.99893i | −0.517281 | − | 0.294612i | ||||
\(934\) | −13.4483 | − | 22.8504i | −0.440041 | − | 0.747688i | ||||
\(935\) | 7.67271i | 0.250924i | ||||||||
\(936\) | −0.358160 | − | 9.72759i | −0.0117068 | − | 0.317956i | ||||
\(937\) | 15.6750i | 0.512081i | 0.966666 | + | 0.256041i | \(0.0824181\pi\) | ||||
−0.966666 | + | 0.256041i | \(0.917582\pi\) | |||||||
\(938\) | 45.7607 | − | 26.9318i | 1.49414 | − | 0.879355i | ||||
\(939\) | 0.224992 | + | 38.2753i | 0.00734233 | + | 1.24907i | ||||
\(940\) | 19.9490 | − | 5.70397i | 0.650666 | − | 0.186043i | ||||
\(941\) | 2.58237 | − | 9.63753i | 0.0841828 | − | 0.314174i | −0.910975 | − | 0.412461i | \(-0.864669\pi\) |
0.995158 | + | 0.0982863i | \(0.0313361\pi\) | |||||||
\(942\) | −24.1643 | + | 0.343805i | −0.787315 | + | 0.0112018i | ||||
\(943\) | −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 | ||||
\(947\) | −0.612832 | − | 2.28712i | −0.0199144 | − | 0.0743214i | 0.955254 | − | 0.295788i | \(-0.0955822\pi\) |
−0.975168 | + | 0.221467i | \(0.928916\pi\) | |||||||
\(948\) | 5.69366 | − | 10.3969i | 0.184922 | − | 0.337675i | ||||
\(949\) | −1.11501 | + | 4.16129i | −0.0361949 | + | 0.135081i | ||||
\(950\) | −6.67067 | + | 0.0556924i | −0.216425 | + | 0.00180690i | ||||
\(951\) | 27.2068 | + | 26.8888i | 0.882240 | + | 0.871929i | ||||
\(952\) | 5.33575 | − | 1.57394i | 0.172933 | − | 0.0510118i | ||||
\(953\) | −43.1152 | −1.39664 | −0.698320 | − | 0.715786i | \(-0.746069\pi\) | ||||
−0.698320 | + | 0.715786i | \(0.746069\pi\) | |||||||
\(954\) | 26.7309 | − | 0.537498i | 0.865446 | − | 0.0174021i | ||||
\(955\) | 4.57740 | − | 4.57740i | 0.148121 | − | 0.148121i | ||||
\(956\) | 0.103976 | + | 6.22652i | 0.00336282 | + | 0.201380i | ||||
\(957\) | −50.6432 | − | 28.8433i | −1.63706 | − | 0.932371i | ||||
\(958\) | −35.5791 | − | 34.9900i | −1.14951 | − | 1.13047i | ||||
\(959\) | −16.7781 | − | 29.0605i | −0.541792 | − | 0.938411i | ||||
\(960\) | −24.0720 | + | 7.91765i | −0.776920 | + | 0.255541i | ||||
\(961\) | 2.21754 | − | 3.84089i | 0.0715334 | − | 0.123900i | ||||
\(962\) | 7.70565 | − | 2.13383i | 0.248440 | − | 0.0687974i | ||||
\(963\) | 26.1389 | − | 7.33432i | 0.842315 | − | 0.236345i | ||||
\(964\) | 24.5834 | − | 14.7459i | 0.791777 | − | 0.474933i | ||||
\(965\) | 7.03372 | + | 26.2502i | 0.226423 | + | 0.845023i | ||||
\(966\) | 10.6548 | + | 37.6153i | 0.342812 | + | 1.21025i | ||||
\(967\) | −21.1271 | − | 36.5932i | −0.679401 | − | 1.17676i | −0.975162 | − | 0.221495i | \(-0.928906\pi\) |
0.295761 | − | 0.955262i | \(-0.404427\pi\) | |||||||
\(968\) | 16.5760 | − | 68.7008i | 0.532773 | − | 2.20813i | ||||
\(969\) | −3.33918 | − | 0.873727i | −0.107270 | − | 0.0280682i | ||||
\(970\) | −2.29669 | − | 3.90238i | −0.0737423 | − | 0.125298i | ||||
\(971\) | −11.0093 | − | 11.0093i | −0.353305 | − | 0.353305i | 0.508033 | − | 0.861338i | \(-0.330373\pi\) |
−0.861338 | + | 0.508033i | \(0.830373\pi\) | |||||||
\(972\) | 26.2531 | − | 16.8158i | 0.842070 | − | 0.539368i | ||||
\(973\) | 2.48513 | − | 2.48513i | 0.0796697 | − | 0.0796697i | ||||
\(974\) | 4.30612 | − | 16.6246i | 0.137977 | − | 0.532686i | ||||
\(975\) | 0.832665 | − | 3.18226i | 0.0266666 | − | 0.101914i | ||||
\(976\) | −37.4405 | + | 40.0285i | −1.19844 | + | 1.28128i | ||||
\(977\) | 30.5197 | − | 17.6206i | 0.976413 | − | 0.563732i | 0.0752275 | − | 0.997166i | \(-0.476032\pi\) |
0.901185 | + | 0.433434i | \(0.142698\pi\) | |||||||
\(978\) | −11.0903 | − | 6.19433i | −0.354630 | − | 0.198073i | ||||
\(979\) | 2.27047 | − | 0.608371i | 0.0725646 | − | 0.0194436i | ||||
\(980\) | −0.806631 | + | 3.22483i | −0.0257669 | + | 0.103013i | ||||
\(981\) | 1.74898 | + | 6.23321i | 0.0558406 | + | 0.199011i | ||||
\(982\) | −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 | \(0.881346\pi\) | |||||||
\(984\) | −4.41054 | − | 14.6344i | −0.140603 | − | 0.466528i | ||||
\(985\) | 26.6774 | − | 15.4022i | 0.850013 | − | 0.490755i | ||||
\(986\) | −5.54764 | + | 0.0463164i | −0.176673 | + | 0.00147501i | ||||
\(987\) | 13.6749 | − | 24.0104i | 0.435276 | − | 0.764261i | ||||
\(988\) | −0.109153 | − | 6.53658i | −0.00347263 | − | 0.207956i | ||||
\(989\) | 29.4801 | + | 29.4801i | 0.937411 | + | 0.937411i | ||||
\(990\) | −33.5673 | − | 32.2440i | −1.06684 | − | 1.02478i | ||||
\(991\) | 15.1164i | 0.480188i | 0.970750 | + | 0.240094i | \(0.0771783\pi\) | ||||
−0.970750 | + | 0.240094i | \(0.922822\pi\) | |||||||
\(992\) | 22.7965 | − | 24.7839i | 0.723791 | − | 0.786888i | ||||
\(993\) | −3.99235 | + | 4.03956i | −0.126693 | + | 0.128192i | ||||
\(994\) | −20.1318 | + | 20.4708i | −0.638543 | + | 0.649295i | ||||
\(995\) | 27.5543 | + | 7.38315i | 0.873530 | + | 0.234062i | ||||
\(996\) | −3.96623 | + | 1.15932i | −0.125675 | + | 0.0367344i | ||||
\(997\) | 38.7668 | − | 10.3875i | 1.22776 | − | 0.328976i | 0.414051 | − | 0.910254i | \(-0.364113\pi\) |
0.813706 | + | 0.581277i | \(0.197447\pi\) | |||||||
\(998\) | −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.11.10 | ✓ | 88 | |
3.2 | odd | 2 | 432.2.v.a.251.13 | 88 | |||
4.3 | odd | 2 | 576.2.y.a.335.16 | 88 | |||
9.4 | even | 3 | 432.2.v.a.395.6 | 88 | |||
9.5 | odd | 6 | inner | 144.2.u.a.59.17 | yes | 88 | |
12.11 | even | 2 | 1728.2.z.a.143.6 | 88 | |||
16.3 | odd | 4 | inner | 144.2.u.a.83.17 | yes | 88 | |
16.13 | even | 4 | 576.2.y.a.47.18 | 88 | |||
36.23 | even | 6 | 576.2.y.a.527.18 | 88 | |||
36.31 | odd | 6 | 1728.2.z.a.719.6 | 88 | |||
48.29 | odd | 4 | 1728.2.z.a.1007.6 | 88 | |||
48.35 | even | 4 | 432.2.v.a.35.6 | 88 | |||
144.13 | even | 12 | 1728.2.z.a.1583.6 | 88 | |||
144.67 | odd | 12 | 432.2.v.a.179.13 | 88 | |||
144.77 | odd | 12 | 576.2.y.a.239.16 | 88 | |||
144.131 | even | 12 | inner | 144.2.u.a.131.10 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
144.2.u.a.11.10 | ✓ | 88 | 1.1 | even | 1 | trivial | |
144.2.u.a.59.17 | yes | 88 | 9.5 | odd | 6 | inner | |
144.2.u.a.83.17 | yes | 88 | 16.3 | odd | 4 | inner | |
144.2.u.a.131.10 | yes | 88 | 144.131 | even | 12 | inner | |
432.2.v.a.35.6 | 88 | 48.35 | even | 4 | |||
432.2.v.a.179.13 | 88 | 144.67 | odd | 12 | |||
432.2.v.a.251.13 | 88 | 3.2 | odd | 2 | |||
432.2.v.a.395.6 | 88 | 9.4 | even | 3 | |||
576.2.y.a.47.18 | 88 | 16.13 | even | 4 | |||
576.2.y.a.239.16 | 88 | 144.77 | odd | 12 | |||
576.2.y.a.335.16 | 88 | 4.3 | odd | 2 | |||
576.2.y.a.527.18 | 88 | 36.23 | even | 6 | |||
1728.2.z.a.143.6 | 88 | 12.11 | even | 2 | |||
1728.2.z.a.719.6 | 88 | 36.31 | odd | 6 | |||
1728.2.z.a.1007.6 | 88 | 48.29 | odd | 4 | |||
1728.2.z.a.1583.6 | 88 | 144.13 | even | 12 |