Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [370,2,Mod(17,370)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(370, base_ring=CyclotomicField(36))
chi = DirichletCharacter(H, H._module([9, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("370.17");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 370 = 2 \cdot 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 370.ba (of order \(36\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.95446487479\) |
Analytic rank: | \(0\) |
Dimension: | \(120\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{36})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{36}]$ |
Embedding invariants
Embedding label | 283.8 | ||
Character | \(\chi\) | \(=\) | 370.283 |
Dual form | 370.2.ba.b.17.8 |
$q$-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 \(\left(\mathbb{Z}/370\mathbb{Z}\right)^\times\).
\(n\) | \(261\) | \(297\) |
\(\chi(n)\) | \(e\left(\frac{29}{36}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.173648 | + | 0.984808i | −0.122788 | + | 0.696364i | ||||
\(3\) | 1.32542 | + | 0.928067i | 0.765230 | + | 0.535820i | 0.889778 | − | 0.456394i | \(-0.150859\pi\) |
−0.124548 | + | 0.992214i | \(0.539748\pi\) | |||||||
\(4\) | −0.939693 | − | 0.342020i | −0.469846 | − | 0.171010i | ||||
\(5\) | 0.101493 | − | 2.23376i | 0.0453888 | − | 0.998969i | ||||
\(6\) | −1.14412 | + | 1.14412i | −0.467086 | + | 0.467086i | ||||
\(7\) | 0.111534 | − | 1.27484i | 0.0421558 | − | 0.481843i | −0.945545 | − | 0.325490i | \(-0.894471\pi\) |
0.987701 | − | 0.156353i | \(-0.0499737\pi\) | |||||||
\(8\) | 0.500000 | − | 0.866025i | 0.176777 | − | 0.306186i | ||||
\(9\) | −0.130639 | − | 0.358928i | −0.0435464 | − | 0.119643i | ||||
\(10\) | 2.18220 | + | 0.487840i | 0.690073 | + | 0.154268i | ||||
\(11\) | 3.41422 | + | 1.97120i | 1.02942 | + | 0.594339i | 0.916820 | − | 0.399301i | \(-0.130747\pi\) |
0.112605 | + | 0.993640i | \(0.464081\pi\) | |||||||
\(12\) | −0.928067 | − | 1.32542i | −0.267910 | − | 0.382615i | ||||
\(13\) | 5.67603 | + | 2.06591i | 1.57425 | + | 0.572979i | 0.973943 | − | 0.226793i | \(-0.0728241\pi\) |
0.600304 | + | 0.799772i | \(0.295046\pi\) | |||||||
\(14\) | 1.23610 | + | 0.331212i | 0.330362 | + | 0.0885202i | ||||
\(15\) | 2.20760 | − | 2.86648i | 0.570000 | − | 0.740121i | ||||
\(16\) | 0.766044 | + | 0.642788i | 0.191511 | + | 0.160697i | ||||
\(17\) | 1.63815 | + | 4.50077i | 0.397309 | + | 1.09160i | 0.963590 | + | 0.267384i | \(0.0861593\pi\) |
−0.566281 | + | 0.824212i | \(0.691618\pi\) | |||||||
\(18\) | 0.376161 | − | 0.0663273i | 0.0886619 | − | 0.0156335i | ||||
\(19\) | −1.17250 | + | 1.67451i | −0.268991 | + | 0.384158i | −0.930809 | − | 0.365506i | \(-0.880896\pi\) |
0.661818 | + | 0.749664i | \(0.269785\pi\) | |||||||
\(20\) | −0.859364 | + | 2.06434i | −0.192160 | + | 0.461600i | ||||
\(21\) | 1.33096 | − | 1.58618i | 0.290440 | − | 0.346133i | ||||
\(22\) | −2.53412 | + | 3.02005i | −0.540277 | + | 0.643877i | ||||
\(23\) | −2.61359 | − | 4.52686i | −0.544970 | − | 0.943916i | −0.998609 | − | 0.0527304i | \(-0.983208\pi\) |
0.453639 | − | 0.891186i | \(-0.350126\pi\) | |||||||
\(24\) | 1.46644 | − | 0.683811i | 0.299335 | − | 0.139582i | ||||
\(25\) | −4.97940 | − | 0.453421i | −0.995880 | − | 0.0906841i | ||||
\(26\) | −3.02015 | + | 5.23106i | −0.592300 | + | 1.02589i | ||||
\(27\) | 1.41629 | − | 5.28568i | 0.272566 | − | 1.01723i | ||||
\(28\) | −0.540827 | + | 1.15981i | −0.102207 | + | 0.219183i | ||||
\(29\) | 0.104271 | + | 0.389145i | 0.0193627 | + | 0.0722625i | 0.974931 | − | 0.222507i | \(-0.0714239\pi\) |
−0.955568 | + | 0.294769i | \(0.904757\pi\) | |||||||
\(30\) | 2.43958 | + | 2.67182i | 0.445405 | + | 0.487806i | ||||
\(31\) | −3.76456 | − | 3.76456i | −0.676134 | − | 0.676134i | 0.282989 | − | 0.959123i | \(-0.408674\pi\) |
−0.959123 | + | 0.282989i | \(0.908674\pi\) | |||||||
\(32\) | −0.766044 | + | 0.642788i | −0.135419 | + | 0.113630i | ||||
\(33\) | 2.69585 | + | 5.78128i | 0.469288 | + | 1.00639i | ||||
\(34\) | −4.71685 | + | 0.831708i | −0.808933 | + | 0.142637i | ||||
\(35\) | −2.83636 | − | 0.378526i | −0.479433 | − | 0.0639827i | ||||
\(36\) | 0.381964i | 0.0636606i | ||||||||
\(37\) | −0.431571 | − | 6.06743i | −0.0709499 | − | 0.997480i | ||||
\(38\) | −1.44547 | − | 1.44547i | −0.234485 | − | 0.234485i | ||||
\(39\) | 5.60580 | + | 8.00592i | 0.897647 | + | 1.28197i | ||||
\(40\) | −1.88375 | − | 1.20478i | −0.297847 | − | 0.190492i | ||||
\(41\) | −3.22430 | + | 8.85869i | −0.503551 | + | 1.38349i | 0.384234 | + | 0.923236i | \(0.374466\pi\) |
−0.887785 | + | 0.460259i | \(0.847757\pi\) | |||||||
\(42\) | 1.33096 | + | 1.58618i | 0.205372 | + | 0.244753i | ||||
\(43\) | 2.78417 | 0.424583 | 0.212291 | − | 0.977206i | \(-0.431907\pi\) | ||||
0.212291 | + | 0.977206i | \(0.431907\pi\) | |||||||
\(44\) | −2.53412 | − | 3.02005i | −0.382033 | − | 0.455290i | ||||
\(45\) | −0.815020 | + | 0.255389i | −0.121496 | + | 0.0380711i | ||||
\(46\) | 4.91193 | − | 1.78780i | 0.724225 | − | 0.263596i | ||||
\(47\) | −10.8047 | − | 2.89511i | −1.57603 | − | 0.422295i | −0.638335 | − | 0.769759i | \(-0.720376\pi\) |
−0.937693 | + | 0.347464i | \(0.887043\pi\) | |||||||
\(48\) | 0.418778 | + | 1.56290i | 0.0604454 | + | 0.225585i | ||||
\(49\) | 5.28089 | + | 0.931163i | 0.754412 | + | 0.133023i | ||||
\(50\) | 1.31120 | − | 4.82501i | 0.185431 | − | 0.682360i | ||||
\(51\) | −2.00579 | + | 7.48570i | −0.280866 | + | 1.04821i | ||||
\(52\) | −4.62714 | − | 3.88263i | −0.641669 | − | 0.538424i | ||||
\(53\) | −0.144376 | − | 1.65022i | −0.0198315 | − | 0.226675i | −0.999642 | − | 0.0267479i | \(-0.991485\pi\) |
0.979811 | − | 0.199928i | \(-0.0640707\pi\) | |||||||
\(54\) | 4.95944 | + | 2.31262i | 0.674894 | + | 0.314708i | ||||
\(55\) | 4.74971 | − | 7.42649i | 0.640450 | − | 1.00139i | ||||
\(56\) | −1.04827 | − | 0.734009i | −0.140082 | − | 0.0980861i | ||||
\(57\) | −3.10811 | + | 1.13126i | −0.411679 | + | 0.149839i | ||||
\(58\) | −0.401340 | + | 0.0351127i | −0.0526985 | + | 0.00461052i | ||||
\(59\) | −0.316329 | − | 3.61565i | −0.0411825 | − | 0.470718i | −0.988584 | − | 0.150671i | \(-0.951857\pi\) |
0.947402 | − | 0.320047i | \(-0.103699\pi\) | |||||||
\(60\) | −3.05486 | + | 1.93856i | −0.394381 | + | 0.250267i | ||||
\(61\) | 3.38137 | + | 7.25138i | 0.432940 | + | 0.928444i | 0.994861 | + | 0.101252i | \(0.0322849\pi\) |
−0.561920 | + | 0.827191i | \(0.689937\pi\) | |||||||
\(62\) | 4.36107 | − | 3.05366i | 0.553857 | − | 0.387815i | ||||
\(63\) | −0.472146 | + | 0.126511i | −0.0594848 | + | 0.0159389i | ||||
\(64\) | −0.500000 | − | 0.866025i | −0.0625000 | − | 0.108253i | ||||
\(65\) | 5.19082 | − | 12.4692i | 0.643842 | − | 1.54662i | ||||
\(66\) | −6.16158 | + | 1.65099i | −0.758438 | + | 0.203223i | ||||
\(67\) | 2.47567 | + | 0.216593i | 0.302451 | + | 0.0264610i | 0.237371 | − | 0.971419i | \(-0.423714\pi\) |
0.0650797 | + | 0.997880i | \(0.479270\pi\) | |||||||
\(68\) | − | 4.78962i | − | 0.580826i | ||||||
\(69\) | 0.737141 | − | 8.42556i | 0.0887414 | − | 1.01432i | ||||
\(70\) | 0.865305 | − | 2.72754i | 0.103424 | − | 0.326004i | ||||
\(71\) | 2.29933 | + | 13.0401i | 0.272880 | + | 1.54758i | 0.745616 | + | 0.666375i | \(0.232155\pi\) |
−0.472736 | + | 0.881204i | \(0.656734\pi\) | |||||||
\(72\) | −0.376161 | − | 0.0663273i | −0.0443310 | − | 0.00781674i | ||||
\(73\) | −8.34881 | + | 8.34881i | −0.977154 | + | 0.977154i | −0.999745 | − | 0.0225904i | \(-0.992809\pi\) |
0.0225904 | + | 0.999745i | \(0.492809\pi\) | |||||||
\(74\) | 6.05020 | + | 0.628584i | 0.703321 | + | 0.0730714i | ||||
\(75\) | −6.17897 | − | 5.22218i | −0.713486 | − | 0.603006i | ||||
\(76\) | 1.67451 | − | 1.17250i | 0.192079 | − | 0.134495i | ||||
\(77\) | 2.89376 | − | 4.13271i | 0.329774 | − | 0.470966i | ||||
\(78\) | −8.85773 | + | 4.13043i | −1.00294 | + | 0.467679i | ||||
\(79\) | −7.48287 | − | 0.654667i | −0.841889 | − | 0.0736557i | −0.341952 | − | 0.939717i | \(-0.611088\pi\) |
−0.499937 | + | 0.866062i | \(0.666644\pi\) | |||||||
\(80\) | 1.51358 | − | 1.64592i | 0.169224 | − | 0.184020i | ||||
\(81\) | 5.90483 | − | 4.95474i | 0.656093 | − | 0.550527i | ||||
\(82\) | −8.16421 | − | 4.71361i | −0.901586 | − | 0.520531i | ||||
\(83\) | −1.02033 | − | 0.475790i | −0.111996 | − | 0.0522247i | 0.365813 | − | 0.930689i | \(-0.380791\pi\) |
−0.477809 | + | 0.878464i | \(0.658569\pi\) | |||||||
\(84\) | −1.79320 | + | 1.03530i | −0.195654 | + | 0.112961i | ||||
\(85\) | 10.2199 | − | 3.20243i | 1.10850 | − | 0.347353i | ||||
\(86\) | −0.483467 | + | 2.74188i | −0.0521336 | + | 0.295664i | ||||
\(87\) | −0.222950 | + | 0.612550i | −0.0239028 | + | 0.0656723i | ||||
\(88\) | 3.41422 | − | 1.97120i | 0.363957 | − | 0.210130i | ||||
\(89\) | −7.22041 | + | 0.631704i | −0.765362 | + | 0.0669605i | −0.463150 | − | 0.886280i | \(-0.653281\pi\) |
−0.302213 | + | 0.953241i | \(0.597725\pi\) | |||||||
\(90\) | −0.109982 | − | 0.846986i | −0.0115931 | − | 0.0892801i | ||||
\(91\) | 3.26676 | − | 7.00559i | 0.342450 | − | 0.734385i | ||||
\(92\) | 0.907689 | + | 5.14776i | 0.0946331 | + | 0.536691i | ||||
\(93\) | −1.49585 | − | 8.48337i | −0.155112 | − | 0.879684i | ||||
\(94\) | 4.72735 | − | 10.1378i | 0.487588 | − | 1.04564i | ||||
\(95\) | 3.62145 | + | 2.78904i | 0.371553 | + | 0.286150i | ||||
\(96\) | −1.61188 | + | 0.141021i | −0.164512 | + | 0.0143929i | ||||
\(97\) | 9.95561 | − | 5.74787i | 1.01084 | − | 0.583608i | 0.0994016 | − | 0.995047i | \(-0.468307\pi\) |
0.911437 | + | 0.411439i | \(0.134974\pi\) | |||||||
\(98\) | −1.83403 | + | 5.03896i | −0.185265 | + | 0.509012i | ||||
\(99\) | 0.261488 | − | 1.48297i | 0.0262806 | − | 0.149045i | ||||
\(100\) | 4.52403 | + | 2.12913i | 0.452403 | + | 0.212913i | ||||
\(101\) | −8.00858 | + | 4.62376i | −0.796883 | + | 0.460081i | −0.842380 | − | 0.538884i | \(-0.818846\pi\) |
0.0454968 | + | 0.998964i | \(0.485513\pi\) | |||||||
\(102\) | −7.02367 | − | 3.27519i | −0.695447 | − | 0.324292i | ||||
\(103\) | −7.19304 | − | 4.15291i | −0.708752 | − | 0.409198i | 0.101847 | − | 0.994800i | \(-0.467525\pi\) |
−0.810599 | + | 0.585602i | \(0.800858\pi\) | |||||||
\(104\) | 4.62714 | − | 3.88263i | 0.453728 | − | 0.380723i | ||||
\(105\) | −3.40807 | − | 3.13404i | −0.332593 | − | 0.305851i | ||||
\(106\) | 1.65022 | + | 0.144376i | 0.160284 | + | 0.0140230i | ||||
\(107\) | −18.4901 | + | 8.62208i | −1.78751 | + | 0.833528i | −0.823654 | + | 0.567093i | \(0.808068\pi\) |
−0.963853 | + | 0.266435i | \(0.914154\pi\) | |||||||
\(108\) | −3.13869 | + | 4.48251i | −0.302020 | + | 0.431330i | ||||
\(109\) | 10.7121 | − | 7.50068i | 1.02603 | − | 0.718435i | 0.0658549 | − | 0.997829i | \(-0.479023\pi\) |
0.960176 | + | 0.279394i | \(0.0901337\pi\) | |||||||
\(110\) | 6.48888 | + | 5.96714i | 0.618691 | + | 0.568945i | ||||
\(111\) | 5.05897 | − | 8.44240i | 0.480176 | − | 0.801317i | ||||
\(112\) | 0.904889 | − | 0.904889i | 0.0855040 | − | 0.0855040i | ||||
\(113\) | −16.3826 | − | 2.88869i | −1.54114 | − | 0.271745i | −0.662440 | − | 0.749115i | \(-0.730479\pi\) |
−0.878703 | + | 0.477370i | \(0.841590\pi\) | |||||||
\(114\) | −0.574356 | − | 3.25733i | −0.0537933 | − | 0.305077i | ||||
\(115\) | −10.3772 | + | 5.37869i | −0.967679 | + | 0.501565i | ||||
\(116\) | 0.0351127 | − | 0.401340i | 0.00326013 | − | 0.0372635i | ||||
\(117\) | − | 2.30718i | − | 0.213298i | ||||||
\(118\) | 3.61565 | + | 0.316329i | 0.332848 | + | 0.0291204i | ||||
\(119\) | 5.92045 | − | 1.58638i | 0.542727 | − | 0.145423i | ||||
\(120\) | −1.37864 | − | 3.34508i | −0.125852 | − | 0.305362i | ||||
\(121\) | 2.27124 | + | 3.93391i | 0.206477 | + | 0.357628i | ||||
\(122\) | −7.72838 | + | 2.07081i | −0.699695 | + | 0.187483i | ||||
\(123\) | −12.4950 | + | 8.74909i | −1.12664 | + | 0.788879i | ||||
\(124\) | 2.24997 | + | 4.82508i | 0.202053 | + | 0.433305i | ||||
\(125\) | −1.51821 | + | 11.0768i | −0.135793 | + | 0.990737i | ||||
\(126\) | −0.0426018 | − | 0.486941i | −0.00379527 | − | 0.0433802i | ||||
\(127\) | −3.33709 | + | 0.291957i | −0.296119 | + | 0.0259070i | −0.234247 | − | 0.972177i | \(-0.575262\pi\) |
−0.0618716 | + | 0.998084i | \(0.519707\pi\) | |||||||
\(128\) | 0.939693 | − | 0.342020i | 0.0830579 | − | 0.0302306i | ||||
\(129\) | 3.69019 | + | 2.58390i | 0.324903 | + | 0.227500i | ||||
\(130\) | 11.3784 | + | 7.27722i | 0.997953 | + | 0.638254i | ||||
\(131\) | −0.185168 | − | 0.0863453i | −0.0161782 | − | 0.00754403i | 0.414512 | − | 0.910044i | \(-0.363952\pi\) |
−0.430691 | + | 0.902500i | \(0.641730\pi\) | |||||||
\(132\) | −0.555961 | − | 6.35466i | −0.0483902 | − | 0.553102i | ||||
\(133\) | 2.00395 | + | 1.68151i | 0.173765 | + | 0.145806i | ||||
\(134\) | −0.643197 | + | 2.40044i | −0.0555638 | + | 0.207367i | ||||
\(135\) | −11.6632 | − | 3.70012i | −1.00381 | − | 0.318456i | ||||
\(136\) | 4.71685 | + | 0.831708i | 0.404467 | + | 0.0713184i | ||||
\(137\) | −0.682025 | − | 2.54535i | −0.0582693 | − | 0.217464i | 0.930652 | − | 0.365906i | \(-0.119241\pi\) |
−0.988921 | + | 0.148442i | \(0.952574\pi\) | |||||||
\(138\) | 8.16955 | + | 2.18903i | 0.695439 | + | 0.186342i | ||||
\(139\) | −3.57216 | + | 1.30016i | −0.302987 | + | 0.110278i | −0.489040 | − | 0.872262i | \(-0.662653\pi\) |
0.186053 | + | 0.982540i | \(0.440430\pi\) | |||||||
\(140\) | 2.53585 | + | 1.32579i | 0.214318 | + | 0.112050i | ||||
\(141\) | −11.6339 | − | 13.8647i | −0.979749 | − | 1.16762i | ||||
\(142\) | −13.2413 | −1.11119 | ||||||||
\(143\) | 15.3069 | + | 18.2420i | 1.28002 | + | 1.52547i | ||||
\(144\) | 0.130639 | − | 0.358928i | 0.0108866 | − | 0.0299107i | ||||
\(145\) | 0.879842 | − | 0.193422i | 0.0730669 | − | 0.0160628i | ||||
\(146\) | −6.77222 | − | 9.67173i | −0.560473 | − | 0.800438i | ||||
\(147\) | 6.13519 | + | 6.13519i | 0.506022 | + | 0.506022i | ||||
\(148\) | −1.66964 | + | 5.84913i | −0.137244 | + | 0.480795i | ||||
\(149\) | 10.3540i | 0.848235i | 0.905607 | + | 0.424118i | \(0.139416\pi\) | ||||
−0.905607 | + | 0.424118i | \(0.860584\pi\) | |||||||
\(150\) | 6.21582 | − | 5.17828i | 0.507519 | − | 0.422805i | ||||
\(151\) | 5.38880 | − | 0.950191i | 0.438534 | − | 0.0773254i | 0.0499778 | − | 0.998750i | \(-0.484085\pi\) |
0.388556 | + | 0.921425i | \(0.372974\pi\) | |||||||
\(152\) | 0.863915 | + | 1.85267i | 0.0700728 | + | 0.150272i | ||||
\(153\) | 1.40145 | − | 1.17595i | 0.113300 | − | 0.0950702i | ||||
\(154\) | 3.56743 | + | 3.56743i | 0.287472 | + | 0.287472i | ||||
\(155\) | −8.79121 | + | 8.02706i | −0.706127 | + | 0.644749i | ||||
\(156\) | −2.52955 | − | 9.44040i | −0.202526 | − | 0.755837i | ||||
\(157\) | 4.84849 | − | 10.3976i | 0.386952 | − | 0.829820i | −0.612281 | − | 0.790641i | \(-0.709748\pi\) |
0.999232 | − | 0.0391798i | \(-0.0124745\pi\) | |||||||
\(158\) | 1.94411 | − | 7.25551i | 0.154665 | − | 0.577217i | ||||
\(159\) | 1.34016 | − | 2.32122i | 0.106281 | − | 0.184085i | ||||
\(160\) | 1.35809 | + | 1.77640i | 0.107366 | + | 0.140437i | ||||
\(161\) | −6.06251 | + | 2.82700i | −0.477793 | + | 0.222799i | ||||
\(162\) | 3.85411 | + | 6.67551i | 0.302807 | + | 0.524477i | ||||
\(163\) | 4.23916 | − | 5.05203i | 0.332036 | − | 0.395706i | −0.574035 | − | 0.818831i | \(-0.694623\pi\) |
0.906071 | + | 0.423125i | \(0.139067\pi\) | |||||||
\(164\) | 6.05970 | − | 7.22167i | 0.473183 | − | 0.563918i | ||||
\(165\) | 13.1876 | − | 5.43514i | 1.02665 | − | 0.423125i | ||||
\(166\) | 0.645741 | − | 0.922214i | 0.0501192 | − | 0.0715777i | ||||
\(167\) | 9.37810 | − | 1.65361i | 0.725699 | − | 0.127960i | 0.201418 | − | 0.979505i | \(-0.435445\pi\) |
0.524281 | + | 0.851545i | \(0.324334\pi\) | |||||||
\(168\) | −0.708190 | − | 1.94574i | −0.0546381 | − | 0.150117i | ||||
\(169\) | 17.9907 | + | 15.0960i | 1.38390 | + | 1.16123i | ||||
\(170\) | 1.37911 | + | 10.6207i | 0.105773 | + | 0.814574i | ||||
\(171\) | 0.754203 | + | 0.202088i | 0.0576754 | + | 0.0154541i | ||||
\(172\) | −2.61627 | − | 0.952244i | −0.199489 | − | 0.0726079i | ||||
\(173\) | 0.701650 | + | 1.00206i | 0.0533455 | + | 0.0761852i | 0.844939 | − | 0.534863i | \(-0.179637\pi\) |
−0.791593 | + | 0.611049i | \(0.790748\pi\) | |||||||
\(174\) | −0.564529 | − | 0.325931i | −0.0427969 | − | 0.0247088i | ||||
\(175\) | −1.13341 | + | 6.29735i | −0.0856776 | + | 0.476035i | ||||
\(176\) | 1.34838 | + | 3.70464i | 0.101638 | + | 0.279248i | ||||
\(177\) | 2.93630 | − | 5.08582i | 0.220706 | − | 0.382274i | ||||
\(178\) | 0.631704 | − | 7.22041i | 0.0473482 | − | 0.541193i | ||||
\(179\) | −18.1863 | + | 18.1863i | −1.35931 | + | 1.35931i | −0.484531 | + | 0.874774i | \(0.661010\pi\) |
−0.874774 | + | 0.484531i | \(0.838990\pi\) | |||||||
\(180\) | 0.853216 | + | 0.0387665i | 0.0635950 | + | 0.00288948i | ||||
\(181\) | 9.85348 | + | 3.58637i | 0.732403 | + | 0.266573i | 0.681182 | − | 0.732114i | \(-0.261466\pi\) |
0.0512214 | + | 0.998687i | \(0.483689\pi\) | |||||||
\(182\) | 6.33189 | + | 4.43364i | 0.469351 | + | 0.328643i | ||||
\(183\) | −2.24803 | + | 12.7492i | −0.166179 | + | 0.942450i | ||||
\(184\) | −5.22717 | −0.385352 | ||||||||
\(185\) | −13.5970 | + | 0.348229i | −0.999672 | + | 0.0256023i | ||||
\(186\) | 8.61424 | 0.631626 | ||||||||
\(187\) | −3.27892 | + | 18.5957i | −0.239779 | + | 1.35985i | ||||
\(188\) | 9.16291 | + | 6.41594i | 0.668274 | + | 0.467931i | ||||
\(189\) | −6.58041 | − | 2.39507i | −0.478654 | − | 0.174216i | ||||
\(190\) | −3.37553 | + | 3.08212i | −0.244887 | + | 0.223601i | ||||
\(191\) | 18.1718 | − | 18.1718i | 1.31487 | − | 1.31487i | 0.397088 | − | 0.917781i | \(-0.370021\pi\) |
0.917781 | − | 0.397088i | \(-0.129979\pi\) | |||||||
\(192\) | 0.141021 | − | 1.61188i | 0.0101773 | − | 0.116327i | ||||
\(193\) | 12.1273 | − | 21.0051i | 0.872940 | − | 1.51198i | 0.0139996 | − | 0.999902i | \(-0.495544\pi\) |
0.858941 | − | 0.512075i | \(-0.171123\pi\) | |||||||
\(194\) | 3.93178 | + | 10.8025i | 0.282285 | + | 0.775572i | ||||
\(195\) | 18.4523 | − | 11.7095i | 1.32139 | − | 0.838534i | ||||
\(196\) | −4.64393 | − | 2.68118i | −0.331709 | − | 0.191513i | ||||
\(197\) | 8.38502 | + | 11.9750i | 0.597408 | + | 0.853187i | 0.998009 | − | 0.0630654i | \(-0.0200877\pi\) |
−0.400601 | + | 0.916252i | \(0.631199\pi\) | |||||||
\(198\) | 1.41504 | + | 0.515032i | 0.100562 | + | 0.0366017i | ||||
\(199\) | −13.2005 | − | 3.53705i | −0.935756 | − | 0.250735i | −0.241448 | − | 0.970414i | \(-0.577622\pi\) |
−0.694307 | + | 0.719679i | \(0.744289\pi\) | |||||||
\(200\) | −2.88237 | + | 4.08558i | −0.203815 | + | 0.288894i | ||||
\(201\) | 3.08028 | + | 2.58466i | 0.217266 | + | 0.182308i | ||||
\(202\) | −3.16283 | − | 8.68982i | −0.222536 | − | 0.611413i | ||||
\(203\) | 0.507727 | − | 0.0895259i | 0.0356354 | − | 0.00628349i | ||||
\(204\) | 4.44508 | − | 6.34824i | 0.311218 | − | 0.444465i | ||||
\(205\) | 19.4610 | + | 8.10141i | 1.35921 | + | 0.565827i | ||||
\(206\) | 5.33887 | − | 6.36262i | 0.371977 | − | 0.443305i | ||||
\(207\) | −1.28338 | + | 1.52948i | −0.0892013 | + | 0.106306i | ||||
\(208\) | 3.02015 | + | 5.23106i | 0.209410 | + | 0.362708i | ||||
\(209\) | −7.30396 | + | 3.40589i | −0.505226 | + | 0.235591i | ||||
\(210\) | 3.67823 | − | 2.81207i | 0.253822 | − | 0.194051i | ||||
\(211\) | −2.87010 | + | 4.97116i | −0.197586 | + | 0.342229i | −0.947745 | − | 0.319028i | \(-0.896643\pi\) |
0.750159 | + | 0.661257i | \(0.229977\pi\) | |||||||
\(212\) | −0.428740 | + | 1.60008i | −0.0294460 | + | 0.109894i | ||||
\(213\) | −9.05455 | + | 19.4175i | −0.620407 | + | 1.33047i | ||||
\(214\) | −5.28032 | − | 19.7064i | −0.360955 | − | 1.34710i | ||||
\(215\) | 0.282573 | − | 6.21919i | 0.0192713 | − | 0.424145i | ||||
\(216\) | −3.86938 | − | 3.86938i | −0.263278 | − | 0.263278i | ||||
\(217\) | −5.21907 | + | 4.37932i | −0.354294 | + | 0.297288i | ||||
\(218\) | 5.52659 | + | 11.8518i | 0.374308 | + | 0.802707i | ||||
\(219\) | −18.8139 | + | 3.31740i | −1.27133 | + | 0.224169i | ||||
\(220\) | −7.00327 | + | 5.35412i | −0.472161 | + | 0.360975i | ||||
\(221\) | 28.9307i | 1.94609i | ||||||||
\(222\) | 7.43566 | + | 6.44812i | 0.499049 | + | 0.432770i | ||||
\(223\) | 2.58267 | + | 2.58267i | 0.172948 | + | 0.172948i | 0.788273 | − | 0.615325i | \(-0.210975\pi\) |
−0.615325 | + | 0.788273i | \(0.710975\pi\) | |||||||
\(224\) | 0.734009 | + | 1.04827i | 0.0490431 | + | 0.0700408i | ||||
\(225\) | 0.487759 | + | 1.84648i | 0.0325173 | + | 0.123099i | ||||
\(226\) | 5.68961 | − | 15.6321i | 0.378467 | − | 1.03983i | ||||
\(227\) | 1.31623 | + | 1.56862i | 0.0873613 | + | 0.104113i | 0.807954 | − | 0.589245i | \(-0.200575\pi\) |
−0.720593 | + | 0.693358i | \(0.756130\pi\) | |||||||
\(228\) | 3.30758 | 0.219050 | ||||||||
\(229\) | 7.29459 | + | 8.69336i | 0.482040 | + | 0.574473i | 0.951174 | − | 0.308654i | \(-0.0998784\pi\) |
−0.469134 | + | 0.883127i | \(0.655434\pi\) | |||||||
\(230\) | −3.49499 | − | 11.1535i | −0.230453 | − | 0.735443i | ||||
\(231\) | 7.67086 | − | 2.79197i | 0.504706 | − | 0.183698i | ||||
\(232\) | 0.389145 | + | 0.104271i | 0.0255486 | + | 0.00684574i | ||||
\(233\) | −4.06029 | − | 15.1532i | −0.265998 | − | 0.992720i | −0.961636 | − | 0.274327i | \(-0.911545\pi\) |
0.695638 | − | 0.718393i | \(-0.255122\pi\) | |||||||
\(234\) | 2.27212 | + | 0.400637i | 0.148533 | + | 0.0261904i | ||||
\(235\) | −7.56359 | + | 23.8413i | −0.493394 | + | 1.55524i | ||||
\(236\) | −0.939375 | + | 3.50579i | −0.0611481 | + | 0.228208i | ||||
\(237\) | −9.31035 | − | 7.81231i | −0.604772 | − | 0.507464i | ||||
\(238\) | 0.534204 | + | 6.10598i | 0.0346273 | + | 0.395792i | ||||
\(239\) | 5.61905 | + | 2.62021i | 0.363466 | + | 0.169487i | 0.595768 | − | 0.803157i | \(-0.296848\pi\) |
−0.232302 | + | 0.972644i | \(0.574626\pi\) | |||||||
\(240\) | 3.53366 | − | 0.776829i | 0.228096 | − | 0.0501441i | ||||
\(241\) | 1.03121 | + | 0.722062i | 0.0664262 | + | 0.0465121i | 0.606318 | − | 0.795222i | \(-0.292646\pi\) |
−0.539892 | + | 0.841734i | \(0.681535\pi\) | |||||||
\(242\) | −4.26854 | + | 1.55362i | −0.274392 | + | 0.0998706i | ||||
\(243\) | −3.92924 | + | 0.343764i | −0.252061 | + | 0.0220525i | ||||
\(244\) | −0.697334 | − | 7.97056i | −0.0446422 | − | 0.510263i | ||||
\(245\) | 2.61597 | − | 11.7017i | 0.167128 | − | 0.747597i | ||||
\(246\) | −6.44644 | − | 13.8244i | −0.411010 | − | 0.881413i | ||||
\(247\) | −10.1145 | + | 7.08227i | −0.643572 | + | 0.450634i | ||||
\(248\) | −5.14248 | + | 1.37792i | −0.326548 | + | 0.0874982i | ||||
\(249\) | −0.910804 | − | 1.57756i | −0.0577199 | − | 0.0999737i | ||||
\(250\) | −10.6449 | − | 3.41860i | −0.673240 | − | 0.216212i | ||||
\(251\) | 2.93560 | − | 0.786590i | 0.185293 | − | 0.0496491i | −0.164979 | − | 0.986297i | \(-0.552756\pi\) |
0.350272 | + | 0.936648i | \(0.386089\pi\) | |||||||
\(252\) | 0.486941 | + | 0.0426018i | 0.0306744 | + | 0.00268366i | ||||
\(253\) | − | 20.6076i | − | 1.29559i | ||||||
\(254\) | 0.291957 | − | 3.33709i | 0.0183190 | − | 0.209388i | ||||
\(255\) | 16.5177 | + | 5.24020i | 1.03438 | + | 0.328154i | ||||
\(256\) | 0.173648 | + | 0.984808i | 0.0108530 | + | 0.0615505i | ||||
\(257\) | 23.7079 | + | 4.18035i | 1.47886 | + | 0.260763i | 0.854122 | − | 0.520072i | \(-0.174095\pi\) |
0.624737 | + | 0.780835i | \(0.285206\pi\) | |||||||
\(258\) | −3.18544 | + | 3.18544i | −0.198317 | + | 0.198317i | ||||
\(259\) | −7.78312 | − | 0.126541i | −0.483620 | − | 0.00786285i | ||||
\(260\) | −9.14250 | + | 9.94188i | −0.566994 | + | 0.616569i | ||||
\(261\) | 0.126053 | − | 0.0882635i | 0.00780251 | − | 0.00546338i | ||||
\(262\) | 0.117188 | − | 0.167361i | 0.00723988 | − | 0.0103396i | ||||
\(263\) | −15.7982 | + | 7.36682i | −0.974158 | + | 0.454258i | −0.843476 | − | 0.537167i | \(-0.819495\pi\) |
−0.130682 | + | 0.991424i | \(0.541717\pi\) | |||||||
\(264\) | 6.35466 | + | 0.555961i | 0.391102 | + | 0.0342170i | ||||
\(265\) | −3.70086 | + | 0.155016i | −0.227342 | + | 0.00952256i | ||||
\(266\) | −2.00395 | + | 1.68151i | −0.122870 | + | 0.103100i | ||||
\(267\) | −10.1563 | − | 5.86375i | −0.621557 | − | 0.358856i | ||||
\(268\) | −2.25229 | − | 1.05026i | −0.137580 | − | 0.0641547i | ||||
\(269\) | 3.77255 | − | 2.17808i | 0.230016 | − | 0.132800i | −0.380563 | − | 0.924755i | \(-0.624270\pi\) |
0.610580 | + | 0.791955i | \(0.290937\pi\) | |||||||
\(270\) | 5.66920 | − | 10.8435i | 0.345017 | − | 0.659914i | ||||
\(271\) | −1.69273 | + | 9.59993i | −0.102826 | + | 0.583154i | 0.889241 | + | 0.457440i | \(0.151233\pi\) |
−0.992066 | + | 0.125714i | \(0.959878\pi\) | |||||||
\(272\) | −1.63815 | + | 4.50077i | −0.0993271 | + | 0.272899i | ||||
\(273\) | 10.8315 | − | 6.25355i | 0.655551 | − | 0.378482i | ||||
\(274\) | 2.62511 | − | 0.229668i | 0.158589 | − | 0.0138747i | ||||
\(275\) | −16.1070 | − | 11.3635i | −0.971286 | − | 0.685242i | ||||
\(276\) | −3.57440 | + | 7.66532i | −0.215153 | + | 0.461398i | ||||
\(277\) | −3.38076 | − | 19.1733i | −0.203130 | − | 1.15201i | −0.900355 | − | 0.435156i | \(-0.856693\pi\) |
0.697225 | − | 0.716853i | \(-0.254418\pi\) | |||||||
\(278\) | −0.660109 | − | 3.74366i | −0.0395907 | − | 0.224530i | ||||
\(279\) | −0.859407 | + | 1.84301i | −0.0514514 | + | 0.110338i | ||||
\(280\) | −1.74600 | + | 2.26710i | −0.104343 | + | 0.135485i | ||||
\(281\) | −28.8790 | + | 2.52659i | −1.72278 | + | 0.150723i | −0.905169 | − | 0.425052i | \(-0.860256\pi\) |
−0.817608 | + | 0.575775i | \(0.804700\pi\) | |||||||
\(282\) | 15.6743 | − | 9.04955i | 0.933390 | − | 0.538893i | ||||
\(283\) | 7.97505 | − | 21.9113i | 0.474067 | − | 1.30249i | −0.440390 | − | 0.897807i | \(-0.645160\pi\) |
0.914457 | − | 0.404683i | \(-0.132618\pi\) | |||||||
\(284\) | 2.29933 | − | 13.0401i | 0.136440 | − | 0.773790i | ||||
\(285\) | 2.21152 | + | 7.05760i | 0.130999 | + | 0.418056i | ||||
\(286\) | −20.6229 | + | 11.9066i | −1.21946 | + | 0.704054i | ||||
\(287\) | 10.9338 | + | 5.09850i | 0.645400 | + | 0.300955i | ||||
\(288\) | 0.330790 | + | 0.190982i | 0.0194920 | + | 0.0112537i | ||||
\(289\) | −4.55063 | + | 3.81843i | −0.267684 | + | 0.224613i | ||||
\(290\) | 0.0377004 | + | 0.900062i | 0.00221385 | + | 0.0528535i | ||||
\(291\) | 18.5297 | + | 1.62114i | 1.08623 | + | 0.0950330i | ||||
\(292\) | 10.7008 | − | 4.98985i | 0.626216 | − | 0.292009i | ||||
\(293\) | 14.8489 | − | 21.2065i | 0.867483 | − | 1.23889i | −0.102258 | − | 0.994758i | \(-0.532607\pi\) |
0.969741 | − | 0.244136i | \(-0.0785044\pi\) | |||||||
\(294\) | −7.10735 | + | 4.97662i | −0.414509 | + | 0.290242i | ||||
\(295\) | −8.10862 | + | 0.339642i | −0.472102 | + | 0.0197747i | ||||
\(296\) | −5.47034 | − | 2.65996i | −0.317957 | − | 0.154607i | ||||
\(297\) | 15.2546 | − | 15.2546i | 0.885164 | − | 0.885164i | ||||
\(298\) | −10.1967 | − | 1.79796i | −0.590681 | − | 0.104153i | ||||
\(299\) | −5.48271 | − | 31.0940i | −0.317074 | − | 1.79821i | ||||
\(300\) | 4.02024 | + | 7.02058i | 0.232109 | + | 0.405333i | ||||
\(301\) | 0.310529 | − | 3.54937i | 0.0178986 | − | 0.204582i | ||||
\(302\) | 5.47193i | 0.314874i | ||||||||
\(303\) | −14.9059 | − | 1.30409i | −0.856319 | − | 0.0749182i | ||||
\(304\) | −1.97454 | + | 0.529077i | −0.113248 | + | 0.0303447i | ||||
\(305\) | 16.5410 | − | 6.81723i | 0.947137 | − | 0.390353i | ||||
\(306\) | 0.914729 | + | 1.58436i | 0.0522916 | + | 0.0905717i | ||||
\(307\) | −16.6422 | + | 4.45927i | −0.949822 | + | 0.254504i | −0.700287 | − | 0.713862i | \(-0.746944\pi\) |
−0.249535 | + | 0.968366i | \(0.580278\pi\) | |||||||
\(308\) | −4.13271 | + | 2.89376i | −0.235483 | + | 0.164887i | ||||
\(309\) | −5.67961 | − | 12.1800i | −0.323101 | − | 0.692893i | ||||
\(310\) | −6.37853 | − | 10.0515i | −0.362276 | − | 0.570889i | ||||
\(311\) | −0.515417 | − | 5.89125i | −0.0292266 | − | 0.334062i | −0.996705 | − | 0.0811091i | \(-0.974154\pi\) |
0.967479 | − | 0.252953i | \(-0.0814018\pi\) | |||||||
\(312\) | 9.73623 | − | 0.851810i | 0.551205 | − | 0.0482242i | ||||
\(313\) | 19.2310 | − | 6.99950i | 1.08700 | − | 0.395635i | 0.264490 | − | 0.964388i | \(-0.414796\pi\) |
0.822508 | + | 0.568753i | \(0.192574\pi\) | |||||||
\(314\) | 9.39772 | + | 6.58036i | 0.530344 | + | 0.371351i | ||||
\(315\) | 0.234677 | + | 1.06750i | 0.0132225 | + | 0.0601469i | ||||
\(316\) | 6.80769 | + | 3.17448i | 0.382963 | + | 0.178578i | ||||
\(317\) | −1.34000 | − | 15.3163i | −0.0752621 | − | 0.860250i | −0.936183 | − | 0.351512i | \(-0.885668\pi\) |
0.860921 | − | 0.508738i | \(-0.169888\pi\) | |||||||
\(318\) | 2.05324 | + | 1.72287i | 0.115140 | + | 0.0966140i | ||||
\(319\) | −0.411078 | + | 1.53417i | −0.0230160 | + | 0.0858968i | ||||
\(320\) | −1.98524 | + | 1.02899i | −0.110978 | + | 0.0575221i | ||||
\(321\) | −32.5090 | − | 5.73221i | −1.81447 | − | 0.319941i | ||||
\(322\) | −1.73130 | − | 6.46131i | −0.0964818 | − | 0.360075i | ||||
\(323\) | −9.45730 | − | 2.53408i | −0.526218 | − | 0.141000i | ||||
\(324\) | −7.24335 | + | 2.63636i | −0.402408 | + | 0.146465i | ||||
\(325\) | −27.3265 | − | 12.8606i | −1.51580 | − | 0.713377i | ||||
\(326\) | 4.23916 | + | 5.05203i | 0.234785 | + | 0.279806i | ||||
\(327\) | 21.1591 | 1.17010 | ||||||||
\(328\) | 6.05970 | + | 7.22167i | 0.334591 | + | 0.398750i | ||||
\(329\) | −4.89588 | + | 13.4513i | −0.269919 | + | 0.741596i | ||||
\(330\) | 3.06257 | + | 13.9311i | 0.168589 | + | 0.766880i | ||||
\(331\) | −0.947156 | − | 1.35268i | −0.0520604 | − | 0.0743500i | 0.792278 | − | 0.610160i | \(-0.208895\pi\) |
−0.844338 | + | 0.535810i | \(0.820006\pi\) | |||||||
\(332\) | 0.796071 | + | 0.796071i | 0.0436901 | + | 0.0436901i | ||||
\(333\) | −2.12139 | + | 0.947548i | −0.116252 | + | 0.0519253i | ||||
\(334\) | 9.52278i | 0.521063i | ||||||||
\(335\) | 0.735078 | − | 5.50807i | 0.0401616 | − | 0.300938i | ||||
\(336\) | 2.03915 | − | 0.359558i | 0.111245 | − | 0.0196155i | ||||
\(337\) | 11.4429 | + | 24.5394i | 0.623336 | + | 1.33675i | 0.923771 | + | 0.382946i | \(0.125090\pi\) |
−0.300435 | + | 0.953802i | \(0.597132\pi\) | |||||||
\(338\) | −17.9907 | + | 15.0960i | −0.978568 | + | 0.821116i | ||||
\(339\) | −19.0328 | − | 19.0328i | −1.03372 | − | 1.03372i | ||||
\(340\) | −10.6989 | − | 0.486110i | −0.580228 | − | 0.0263630i | ||||
\(341\) | −5.43232 | − | 20.2737i | −0.294177 | − | 1.09788i | ||||
\(342\) | −0.329984 | + | 0.707653i | −0.0178435 | + | 0.0382655i | ||||
\(343\) | 4.09456 | − | 15.2811i | 0.221086 | − | 0.825103i | ||||
\(344\) | 1.39209 | − | 2.41117i | 0.0750563 | − | 0.130001i | ||||
\(345\) | −18.7459 | − | 2.50173i | −1.00925 | − | 0.134689i | ||||
\(346\) | −1.10868 | + | 0.516984i | −0.0596028 | + | 0.0277933i | ||||
\(347\) | 11.5247 | + | 19.9613i | 0.618676 | + | 1.07158i | 0.989728 | + | 0.142966i | \(0.0456641\pi\) |
−0.371051 | + | 0.928612i | \(0.621003\pi\) | |||||||
\(348\) | 0.419009 | − | 0.499356i | 0.0224612 | − | 0.0267683i | ||||
\(349\) | −15.9676 | + | 19.0294i | −0.854724 | + | 1.01862i | 0.144850 | + | 0.989454i | \(0.453730\pi\) |
−0.999575 | + | 0.0291673i | \(0.990714\pi\) | |||||||
\(350\) | −6.00486 | − | 2.20971i | −0.320973 | − | 0.118114i | ||||
\(351\) | 18.9586 | − | 27.0757i | 1.01194 | − | 1.44519i | ||||
\(352\) | −3.88250 | + | 0.684590i | −0.206938 | + | 0.0364888i | ||||
\(353\) | 7.44346 | + | 20.4507i | 0.396175 | + | 1.08848i | 0.964132 | + | 0.265424i | \(0.0855120\pi\) |
−0.567956 | + | 0.823059i | \(0.692266\pi\) | |||||||
\(354\) | 4.49867 | + | 3.77484i | 0.239102 | + | 0.200630i | ||||
\(355\) | 29.3619 | − | 3.81268i | 1.55837 | − | 0.202356i | ||||
\(356\) | 7.00103 | + | 1.87592i | 0.371054 | + | 0.0994235i | ||||
\(357\) | 9.31933 | + | 3.39196i | 0.493231 | + | 0.179521i | ||||
\(358\) | −14.7520 | − | 21.0680i | −0.779665 | − | 1.11348i | ||||
\(359\) | 14.0362 | + | 8.10380i | 0.740802 | + | 0.427702i | 0.822361 | − | 0.568966i | \(-0.192656\pi\) |
−0.0815586 | + | 0.996669i | \(0.525990\pi\) | |||||||
\(360\) | −0.186337 | + | 0.833522i | −0.00982082 | + | 0.0439305i | ||||
\(361\) | 5.06917 | + | 13.9274i | 0.266798 | + | 0.733023i | ||||
\(362\) | −5.24293 | + | 9.08101i | −0.275562 | + | 0.477287i | ||||
\(363\) | −0.640586 | + | 7.32193i | −0.0336220 | + | 0.384302i | ||||
\(364\) | −5.46580 | + | 5.46580i | −0.286486 | + | 0.286486i | ||||
\(365\) | 17.8019 | + | 19.4966i | 0.931795 | + | 1.02050i | ||||
\(366\) | −12.1652 | − | 4.42776i | −0.635884 | − | 0.231443i | ||||
\(367\) | −4.92113 | − | 3.44581i | −0.256881 | − | 0.179870i | 0.438041 | − | 0.898955i | \(-0.355672\pi\) |
−0.694922 | + | 0.719085i | \(0.744561\pi\) | |||||||
\(368\) | 0.907689 | − | 5.14776i | 0.0473165 | − | 0.268345i | ||||
\(369\) | 3.60085 | 0.187453 | ||||||||
\(370\) | 2.01816 | − | 13.4509i | 0.104919 | − | 0.699280i | ||||
\(371\) | −2.11987 | −0.110058 | ||||||||
\(372\) | −1.49585 | + | 8.48337i | −0.0775560 | + | 0.439842i | ||||
\(373\) | 10.3400 | + | 7.24014i | 0.535385 | + | 0.374880i | 0.809777 | − | 0.586737i | \(-0.199588\pi\) |
−0.274393 | + | 0.961618i | \(0.588477\pi\) | |||||||
\(374\) | −17.7438 | − | 6.45822i | −0.917510 | − | 0.333946i | ||||
\(375\) | −12.2922 | + | 13.2723i | −0.634769 | + | 0.685381i | ||||
\(376\) | −7.90959 | + | 7.90959i | −0.407906 | + | 0.407906i | ||||
\(377\) | −0.212091 | + | 2.42421i | −0.0109233 | + | 0.124853i | ||||
\(378\) | 3.50136 | − | 6.06454i | 0.180091 | − | 0.311926i | ||||
\(379\) | −5.14274 | − | 14.1296i | −0.264165 | − | 0.725787i | −0.998876 | − | 0.0474065i | \(-0.984904\pi\) |
0.734711 | − | 0.678380i | \(-0.237318\pi\) | |||||||
\(380\) | −2.44914 | − | 3.85946i | −0.125638 | − | 0.197986i | ||||
\(381\) | −4.69399 | − | 2.71008i | −0.240480 | − | 0.138841i | ||||
\(382\) | 14.7403 | + | 21.0513i | 0.754177 | + | 1.07708i | ||||
\(383\) | 14.8548 | + | 5.40670i | 0.759044 | + | 0.276269i | 0.692406 | − | 0.721508i | \(-0.256551\pi\) |
0.0666375 | + | 0.997777i | \(0.478773\pi\) | |||||||
\(384\) | 1.56290 | + | 0.418778i | 0.0797565 | + | 0.0213707i | ||||
\(385\) | −8.93781 | − | 6.88341i | −0.455513 | − | 0.350811i | ||||
\(386\) | 18.5801 | + | 15.5905i | 0.945700 | + | 0.793537i | ||||
\(387\) | −0.363722 | − | 0.999319i | −0.0184891 | − | 0.0507982i | ||||
\(388\) | −11.3211 | + | 1.99622i | −0.574742 | + | 0.101342i | ||||
\(389\) | 3.38017 | − | 4.82738i | 0.171381 | − | 0.244758i | −0.724268 | − | 0.689518i | \(-0.757822\pi\) |
0.895650 | + | 0.444761i | \(0.146711\pi\) | |||||||
\(390\) | 8.32740 | + | 20.2053i | 0.421674 | + | 1.02313i | ||||
\(391\) | 16.0929 | − | 19.1788i | 0.813854 | − | 0.969913i | ||||
\(392\) | 3.44685 | − | 4.10780i | 0.174092 | − | 0.207475i | ||||
\(393\) | −0.165291 | − | 0.286292i | −0.00833781 | − | 0.0144415i | ||||
\(394\) | −13.2492 | + | 6.17819i | −0.667483 | + | 0.311253i | ||||
\(395\) | −2.22183 | + | 16.6485i | −0.111792 | + | 0.837678i | ||||
\(396\) | −0.752926 | + | 1.30411i | −0.0378359 | + | 0.0655338i | ||||
\(397\) | −1.93939 | + | 7.23788i | −0.0973350 | + | 0.363259i | −0.997363 | − | 0.0725727i | \(-0.976879\pi\) |
0.900028 | + | 0.435832i | \(0.143546\pi\) | |||||||
\(398\) | 5.77555 | − | 12.3857i | 0.289502 | − | 0.620840i | ||||
\(399\) | 1.09551 | + | 4.08851i | 0.0548442 | + | 0.204681i | ||||
\(400\) | −3.52299 | − | 3.54804i | −0.176149 | − | 0.177402i | ||||
\(401\) | 6.01370 | + | 6.01370i | 0.300310 | + | 0.300310i | 0.841135 | − | 0.540825i | \(-0.181888\pi\) |
−0.540825 | + | 0.841135i | \(0.681888\pi\) | |||||||
\(402\) | −3.08028 | + | 2.58466i | −0.153630 | + | 0.128911i | ||||
\(403\) | −13.5905 | − | 29.1449i | −0.676992 | − | 1.45181i | ||||
\(404\) | 9.10702 | − | 1.60581i | 0.453091 | − | 0.0798922i | ||||
\(405\) | −10.4684 | − | 13.6929i | −0.520180 | − | 0.680404i | ||||
\(406\) | 0.515559i | 0.0255868i | ||||||||
\(407\) | 10.4866 | − | 21.5662i | 0.519803 | − | 1.06900i | ||||
\(408\) | 5.47991 | + | 5.47991i | 0.271296 | + | 0.271296i | ||||
\(409\) | 1.86132 | + | 2.65824i | 0.0920364 | + | 0.131442i | 0.862530 | − | 0.506007i | \(-0.168879\pi\) |
−0.770493 | + | 0.637448i | \(0.779990\pi\) | |||||||
\(410\) | −11.3577 | + | 17.7585i | −0.560917 | + | 0.877031i | ||||
\(411\) | 1.45829 | − | 4.00662i | 0.0719321 | − | 0.197632i | ||||
\(412\) | 5.33887 | + | 6.36262i | 0.263027 | + | 0.313464i | ||||
\(413\) | −4.64465 | −0.228548 | ||||||||
\(414\) | −1.28338 | − | 1.52948i | −0.0630748 | − | 0.0751696i | ||||
\(415\) | −1.16636 | + | 2.23090i | −0.0572543 | + | 0.109510i | ||||
\(416\) | −5.67603 | + | 2.06591i | −0.278290 | + | 0.101289i | ||||
\(417\) | −5.94124 | − | 1.59195i | −0.290944 | − | 0.0779581i | ||||
\(418\) | −2.08583 | − | 7.78443i | −0.102021 | − | 0.380749i | ||||
\(419\) | −33.7571 | − | 5.95229i | −1.64914 | − | 0.290788i | −0.729629 | − | 0.683844i | \(-0.760307\pi\) |
−0.919515 | + | 0.393055i | \(0.871418\pi\) | |||||||
\(420\) | 2.13063 | + | 4.11066i | 0.103964 | + | 0.200580i | ||||
\(421\) | −5.37692 | + | 20.0669i | −0.262055 | + | 0.978003i | 0.701973 | + | 0.712203i | \(0.252303\pi\) |
−0.964028 | + | 0.265800i | \(0.914364\pi\) | |||||||
\(422\) | −4.39725 | − | 3.68973i | −0.214055 | − | 0.179613i | ||||
\(423\) | 0.372381 | + | 4.25633i | 0.0181058 | + | 0.206950i | ||||
\(424\) | −1.50132 | − | 0.700078i | −0.0729107 | − | 0.0339988i | ||||
\(425\) | −6.11624 | − | 23.1539i | −0.296681 | − | 1.12313i | ||||
\(426\) | −17.5502 | − | 12.2888i | −0.850312 | − | 0.595395i | ||||
\(427\) | 9.62146 | − | 3.50192i | 0.465615 | − | 0.169470i | ||||
\(428\) | 20.3239 | − | 1.77811i | 0.982395 | − | 0.0859484i | ||||
\(429\) | 3.35817 | + | 38.3841i | 0.162134 | + | 1.85320i | ||||
\(430\) | 6.07564 | + | 1.35823i | 0.292993 | + | 0.0654997i | ||||
\(431\) | −4.62563 | − | 9.91969i | −0.222809 | − | 0.477815i | 0.762848 | − | 0.646578i | \(-0.223800\pi\) |
−0.985657 | + | 0.168763i | \(0.946023\pi\) | |||||||
\(432\) | 4.48251 | − | 3.13869i | 0.215665 | − | 0.151010i | ||||
\(433\) | −20.1902 | + | 5.40994i | −0.970278 | + | 0.259985i | −0.708945 | − | 0.705263i | \(-0.750829\pi\) |
−0.261333 | + | 0.965249i | \(0.584162\pi\) | |||||||
\(434\) | −3.40651 | − | 5.90024i | −0.163518 | − | 0.283221i | ||||
\(435\) | 1.34566 | + | 0.560187i | 0.0645197 | + | 0.0268589i | ||||
\(436\) | −12.6314 | + | 3.38459i | −0.604937 | + | 0.162092i | ||||
\(437\) | 10.6447 | + | 0.931291i | 0.509205 | + | 0.0445497i | ||||
\(438\) | − | 19.1041i | − | 0.912831i | ||||||
\(439\) | 0.502610 | − | 5.74486i | 0.0239883 | − | 0.274187i | −0.974722 | − | 0.223420i | \(-0.928278\pi\) |
0.998711 | − | 0.0507672i | \(-0.0161666\pi\) | |||||||
\(440\) | −4.05667 | − | 7.82661i | −0.193394 | − | 0.373119i | ||||
\(441\) | −0.355670 | − | 2.01711i | −0.0169367 | − | 0.0960527i | ||||
\(442\) | −28.4912 | − | 5.02377i | −1.35519 | − | 0.238956i | ||||
\(443\) | 20.1403 | − | 20.1403i | 0.956894 | − | 0.956894i | −0.0422149 | − | 0.999109i | \(-0.513441\pi\) |
0.999109 | + | 0.0422149i | \(0.0134414\pi\) | |||||||
\(444\) | −7.64135 | + | 6.20299i | −0.362642 | + | 0.294381i | ||||
\(445\) | 0.678260 | + | 16.1928i | 0.0321526 | + | 0.767613i | ||||
\(446\) | −2.99191 | + | 2.09496i | −0.141671 | + | 0.0991990i | ||||
\(447\) | −9.60923 | + | 13.7234i | −0.454501 | + | 0.649095i | ||||
\(448\) | −1.15981 | + | 0.540827i | −0.0547958 | + | 0.0255517i | ||||
\(449\) | 4.41426 | + | 0.386198i | 0.208322 | + | 0.0182258i | 0.190839 | − | 0.981621i | \(-0.438879\pi\) |
0.0174830 | + | 0.999847i | \(0.494435\pi\) | |||||||
\(450\) | −1.90313 | + | 0.159711i | −0.0897143 | + | 0.00752884i | ||||
\(451\) | −28.4707 | + | 23.8897i | −1.34063 | + | 1.12492i | ||||
\(452\) | 14.4066 | + | 8.31765i | 0.677629 | + | 0.391229i | ||||
\(453\) | 8.02424 | + | 3.74177i | 0.377012 | + | 0.175804i | ||||
\(454\) | −1.77335 | + | 1.02385i | −0.0832276 | + | 0.0480515i | ||||
\(455\) | −15.3173 | − | 8.00818i | −0.718085 | − | 0.375430i | ||||
\(456\) | −0.574356 | + | 3.25733i | −0.0268967 | + | 0.152539i | ||||
\(457\) | −1.76514 | + | 4.84967i | −0.0825696 | + | 0.226858i | −0.974106 | − | 0.226090i | \(-0.927406\pi\) |
0.891537 | + | 0.452948i | \(0.149628\pi\) | |||||||
\(458\) | −9.82798 | + | 5.67419i | −0.459231 | + | 0.265137i | ||||
\(459\) | 26.1097 | − | 2.28430i | 1.21870 | − | 0.106622i | ||||
\(460\) | 11.5910 | − | 1.50510i | 0.540433 | − | 0.0701758i | ||||
\(461\) | 0.926201 | − | 1.98624i | 0.0431375 | − | 0.0925086i | −0.883558 | − | 0.468322i | \(-0.844859\pi\) |
0.926695 | + | 0.375813i | \(0.122637\pi\) | |||||||
\(462\) | 1.41752 | + | 8.03915i | 0.0659489 | + | 0.374015i | ||||
\(463\) | −5.98262 | − | 33.9291i | −0.278036 | − | 1.57682i | −0.729150 | − | 0.684354i | \(-0.760084\pi\) |
0.451114 | − | 0.892466i | \(-0.351027\pi\) | |||||||
\(464\) | −0.170261 | + | 0.365127i | −0.00790419 | + | 0.0169506i | ||||
\(465\) | −19.1017 | + | 2.48037i | −0.885818 | + | 0.115024i | ||||
\(466\) | 15.6281 | − | 1.36728i | 0.723956 | − | 0.0633379i | ||||
\(467\) | 10.3157 | − | 5.95576i | 0.477353 | − | 0.275600i | −0.241960 | − | 0.970286i | \(-0.577790\pi\) |
0.719313 | + | 0.694687i | \(0.244457\pi\) | |||||||
\(468\) | −0.789100 | + | 2.16804i | −0.0364762 | + | 0.100217i | ||||
\(469\) | 0.552241 | − | 3.13191i | 0.0255001 | − | 0.144618i | ||||
\(470\) | −22.1657 | − | 11.5887i | −1.02243 | − | 0.534546i | ||||
\(471\) | 16.0760 | − | 9.28145i | 0.740741 | − | 0.427667i | ||||
\(472\) | −3.28941 | − | 1.53388i | −0.151408 | − | 0.0706025i | ||||
\(473\) | 9.50577 | + | 5.48816i | 0.437076 | + | 0.252346i | ||||
\(474\) | 9.31035 | − | 7.81231i | 0.427638 | − | 0.358831i | ||||
\(475\) | 6.59762 | − | 7.80641i | 0.302719 | − | 0.358182i | ||||
\(476\) | −6.10598 | − | 0.534204i | −0.279867 | − | 0.0244852i | ||||
\(477\) | −0.573450 | + | 0.267404i | −0.0262565 | + | 0.0122436i | ||||
\(478\) | −3.55614 | + | 5.07869i | −0.162654 | + | 0.232294i | ||||
\(479\) | 22.2971 | − | 15.6126i | 1.01878 | − | 0.713359i | 0.0602036 | − | 0.998186i | \(-0.480825\pi\) |
0.958579 | + | 0.284827i | \(0.0919361\pi\) | |||||||
\(480\) | 0.151414 | + | 3.61487i | 0.00691107 | + | 0.164995i | ||||
\(481\) | 10.0851 | − | 35.3305i | 0.459842 | − | 1.61093i | ||||
\(482\) | −0.890160 | + | 0.890160i | −0.0405457 | + | 0.0405457i | ||||
\(483\) | −10.6590 | − | 1.87947i | −0.485001 | − | 0.0855188i | ||||
\(484\) | −0.788794 | − | 4.47348i | −0.0358543 | − | 0.203340i | ||||
\(485\) | −11.8290 | − | 22.8218i | −0.537126 | − | 1.03629i | ||||
\(486\) | 0.343764 | − | 3.92924i | 0.0155934 | − | 0.178234i | ||||
\(487\) | 41.2250i | 1.86808i | 0.357167 | + | 0.934041i | \(0.383743\pi\) | ||||
−0.357167 | + | 0.934041i | \(0.616257\pi\) | |||||||
\(488\) | 7.97056 | + | 0.697334i | 0.360810 | + | 0.0315668i | ||||
\(489\) | 10.3073 | − | 2.76182i | 0.466111 | − | 0.124894i | ||||
\(490\) | 11.0697 | + | 4.60821i | 0.500078 | + | 0.208178i | ||||
\(491\) | −12.9694 | − | 22.4637i | −0.585301 | − | 1.01377i | −0.994838 | − | 0.101477i | \(-0.967643\pi\) |
0.409537 | − | 0.912293i | \(-0.365690\pi\) | |||||||
\(492\) | 14.7338 | − | 3.94791i | 0.664252 | − | 0.177986i | ||||
\(493\) | −1.58064 | + | 1.10678i | −0.0711885 | + | 0.0498467i | ||||
\(494\) | −5.21831 | − | 11.1907i | −0.234783 | − | 0.503493i | ||||
\(495\) | −3.28607 | − | 0.734614i | −0.147698 | − | 0.0330184i | ||||
\(496\) | −0.464007 | − | 5.30363i | −0.0208345 | − | 0.238140i | ||||
\(497\) | 16.8805 | − | 1.47685i | 0.757194 | − | 0.0662459i | ||||
\(498\) | 1.71175 | − | 0.623027i | 0.0767054 | − | 0.0279185i | ||||
\(499\) | 31.9225 | + | 22.3524i | 1.42905 | + | 1.00063i | 0.995014 | + | 0.0997312i | \(0.0317983\pi\) |
0.434032 | + | 0.900898i | \(0.357091\pi\) | |||||||
\(500\) | 5.21513 | − | 9.88951i | 0.233228 | − | 0.442272i | ||||
\(501\) | 13.9646 | + | 6.51178i | 0.623890 | + | 0.290925i | ||||
\(502\) | 0.264880 | + | 3.02759i | 0.0118222 | + | 0.135128i | ||||
\(503\) | 29.5561 | + | 24.8005i | 1.31784 | + | 1.10580i | 0.986758 | + | 0.162200i | \(0.0518591\pi\) |
0.331085 | + | 0.943601i | \(0.392585\pi\) | |||||||
\(504\) | −0.126511 | + | 0.472146i | −0.00563525 | + | 0.0210310i | ||||
\(505\) | 9.51556 | + | 18.3585i | 0.423437 | + | 0.816945i | ||||
\(506\) | 20.2945 | + | 3.57847i | 0.902201 | + | 0.159082i | ||||
\(507\) | 9.83511 | + | 36.7051i | 0.436793 | + | 1.63013i | ||||
\(508\) | 3.23569 | + | 0.867001i | 0.143561 | + | 0.0384670i | ||||
\(509\) | −21.5189 | + | 7.83224i | −0.953809 | + | 0.347158i | −0.771605 | − | 0.636103i | \(-0.780546\pi\) |
−0.182205 | + | 0.983261i | \(0.558323\pi\) | |||||||
\(510\) | −8.02886 | + | 15.3568i | −0.355524 | + | 0.680011i | ||||
\(511\) | 9.71220 | + | 11.5745i | 0.429642 | + | 0.512028i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 7.19030 | + | 8.56907i | 0.317459 | + | 0.378333i | ||||
\(514\) | −8.23368 | + | 22.6218i | −0.363172 | + | 0.997807i | ||||
\(515\) | −10.0067 | + | 15.6461i | −0.440946 | + | 0.689448i | ||||
\(516\) | −2.58390 | − | 3.69019i | −0.113750 | − | 0.162452i | ||||
\(517\) | −31.1827 | − | 31.1827i | −1.37142 | − | 1.37142i | ||||
\(518\) | 1.47614 | − | 7.64290i | 0.0648580 | − | 0.335810i | ||||
\(519\) | 1.97932i | 0.0868827i | ||||||||
\(520\) | −8.20326 | − | 10.7300i | −0.359737 | − | 0.470541i | ||||
\(521\) | 17.4057 | − | 3.06910i | 0.762560 | − | 0.134460i | 0.221174 | − | 0.975234i | \(-0.429011\pi\) |
0.541385 | + | 0.840775i | \(0.317900\pi\) | |||||||
\(522\) | 0.0650337 | + | 0.139465i | 0.00284645 | + | 0.00610422i | ||||
\(523\) | 3.36657 | − | 2.82489i | 0.147210 | − | 0.123524i | −0.566209 | − | 0.824262i | \(-0.691590\pi\) |
0.713419 | + | 0.700738i | \(0.247146\pi\) | |||||||
\(524\) | 0.144469 | + | 0.144469i | 0.00631117 | + | 0.00631117i | ||||
\(525\) | −7.34660 | + | 7.29473i | −0.320632 | + | 0.318368i | ||||
\(526\) | −4.51157 | − | 16.8374i | −0.196714 | − | 0.734146i | ||||
\(527\) | 10.7765 | − | 23.1103i | 0.469432 | − | 1.00670i | ||||
\(528\) | −1.65099 | + | 6.16158i | −0.0718501 | + | 0.268148i | ||||
\(529\) | −2.16166 | + | 3.74410i | −0.0939852 | + | 0.162787i | ||||
\(530\) | 0.489987 | − | 3.67155i | 0.0212837 | − | 0.159482i | ||||
\(531\) | −1.25644 | + | 0.585886i | −0.0545247 | + | 0.0254253i | ||||
\(532\) | −1.30799 | − | 2.26550i | −0.0567084 | − | 0.0982218i | ||||
\(533\) | −36.6024 | + | 43.6211i | −1.58543 | + | 1.88944i | ||||
\(534\) | 7.53830 | − | 8.98379i | 0.326214 | − | 0.388767i | ||||
\(535\) | 17.3831 | + | 42.1776i | 0.751536 | + | 1.82350i | ||||
\(536\) | 1.42541 | − | 2.03569i | 0.0615682 | − | 0.0879286i | ||||
\(537\) | −40.9824 | + | 7.22631i | −1.76852 | + | 0.311838i | ||||
\(538\) | 1.48990 | + | 4.09345i | 0.0642340 | + | 0.176481i | ||||
\(539\) | 16.1946 | + | 13.5889i | 0.697550 | + | 0.585314i | ||||
\(540\) | 9.69431 | + | 7.46603i | 0.417177 | + | 0.321287i | ||||
\(541\) | −27.9571 | − | 7.49109i | −1.20197 | − | 0.322067i | −0.398364 | − | 0.917227i | \(-0.630422\pi\) |
−0.803607 | + | 0.595160i | \(0.797089\pi\) | |||||||
\(542\) | −9.16014 | − | 3.33402i | −0.393462 | − | 0.143208i | ||||
\(543\) | 9.73157 | + | 13.8981i | 0.417622 | + | 0.596425i | ||||
\(544\) | −4.14793 | − | 2.39481i | −0.177841 | − | 0.102677i | ||||
\(545\) | −15.6675 | − | 24.6895i | −0.671124 | − | 1.05758i | ||||
\(546\) | 4.27768 | + | 11.7528i | 0.183068 | + | 0.502975i | ||||
\(547\) | 11.6040 | − | 20.0987i | 0.496151 | − | 0.859359i | −0.503839 | − | 0.863798i | \(-0.668080\pi\) |
0.999990 | + | 0.00443859i | \(0.00141285\pi\) | |||||||
\(548\) | −0.229668 | + | 2.62511i | −0.00981092 | + | 0.112139i | ||||
\(549\) | 2.16098 | − | 2.16098i | 0.0922286 | − | 0.0922286i | ||||
\(550\) | 13.9878 | − | 13.8890i | 0.596440 | − | 0.592229i | ||||
\(551\) | −0.773885 | − | 0.281671i | −0.0329686 | − | 0.0119996i | ||||
\(552\) | −6.92818 | − | 4.85116i | −0.294883 | − | 0.206479i | ||||
\(553\) | −1.66919 | + | 9.46642i | −0.0709810 | + | 0.402553i | ||||
\(554\) | 19.4690 | 0.827160 | ||||||||
\(555\) | −18.3449 | − | 12.1574i | −0.778697 | − | 0.516052i | ||||
\(556\) | 3.80141 | 0.161216 | ||||||||
\(557\) | −1.77002 | + | 10.0383i | −0.0749980 | + | 0.425335i | 0.924072 | + | 0.382218i | \(0.124840\pi\) |
−0.999070 | + | 0.0431166i | \(0.986271\pi\) | |||||||
\(558\) | −1.66577 | − | 1.16639i | −0.0705177 | − | 0.0493770i | ||||
\(559\) | 15.8031 | + | 5.75184i | 0.668398 | + | 0.243277i | ||||
\(560\) | −1.92947 | − | 2.11315i | −0.0815349 | − | 0.0892968i | ||||
\(561\) | −21.6040 | + | 21.6040i | −0.912121 | + | 0.912121i | ||||
\(562\) | 2.52659 | − | 28.8790i | 0.106578 | − | 1.21819i | ||||
\(563\) | 18.2648 | − | 31.6355i | 0.769768 | − | 1.33328i | −0.167921 | − | 0.985801i | \(-0.553705\pi\) |
0.937689 | − | 0.347477i | \(-0.112961\pi\) | |||||||
\(564\) | 6.19026 | + | 17.0076i | 0.260657 | + | 0.716149i | ||||
\(565\) | −8.11536 | + | 36.3016i | −0.341416 | + | 1.52722i | ||||
\(566\) | 20.1935 | + | 11.6587i | 0.848798 | + | 0.490053i | ||||
\(567\) | −5.65790 | − | 8.08032i | −0.237610 | − | 0.339342i | ||||
\(568\) | 12.4428 | + | 4.52879i | 0.522086 | + | 0.190024i | ||||
\(569\) | −21.4051 | − | 5.73548i | −0.897349 | − | 0.240444i | −0.219472 | − | 0.975619i | \(-0.570433\pi\) |
−0.677878 | + | 0.735175i | \(0.737100\pi\) | |||||||
\(570\) | −7.33440 | + | 0.952379i | −0.307204 | + | 0.0398908i | ||||
\(571\) | 18.4239 | + | 15.4595i | 0.771017 | + | 0.646960i | 0.940969 | − | 0.338492i | \(-0.109917\pi\) |
−0.169952 | + | 0.985452i | \(0.554361\pi\) | |||||||
\(572\) | −8.14462 | − | 22.3771i | −0.340543 | − | 0.935636i | ||||
\(573\) | 40.9499 | − | 7.22058i | 1.71071 | − | 0.301644i | ||||
\(574\) | −6.91967 | + | 9.88231i | −0.288821 | + | 0.412480i | ||||
\(575\) | 10.9615 | + | 23.7261i | 0.457127 | + | 0.989447i | ||||
\(576\) | −0.245521 | + | 0.292601i | −0.0102301 | + | 0.0121917i | ||||
\(577\) | −1.72814 | + | 2.05952i | −0.0719436 | + | 0.0857390i | −0.800816 | − | 0.598911i | \(-0.795600\pi\) |
0.728872 | + | 0.684650i | \(0.240045\pi\) | |||||||
\(578\) | −2.97021 | − | 5.14455i | −0.123544 | − | 0.213985i | ||||
\(579\) | 35.5678 | − | 16.5855i | 1.47815 | − | 0.689271i | ||||
\(580\) | −0.892935 | − | 0.119166i | −0.0370771 | − | 0.00494812i | ||||
\(581\) | −0.720356 | + | 1.24769i | −0.0298854 | + | 0.0517631i | ||||
\(582\) | −4.81417 | + | 17.9667i | −0.199554 | + | 0.744744i | ||||
\(583\) | 2.75999 | − | 5.91881i | 0.114307 | − | 0.245132i | ||||
\(584\) | 3.05588 | + | 11.4047i | 0.126453 | + | 0.471929i | ||||
\(585\) | −5.15368 | − | 0.234161i | −0.213079 | − | 0.00968137i | ||||
\(586\) | 18.3058 | + | 18.3058i | 0.756205 | + | 0.756205i | ||||
\(587\) | 20.9025 | − | 17.5393i | 0.862739 | − | 0.723924i | −0.0998170 | − | 0.995006i | \(-0.531826\pi\) |
0.962556 | + | 0.271082i | \(0.0873813\pi\) | |||||||
\(588\) | −3.66684 | − | 7.86355i | −0.151218 | − | 0.324287i | ||||
\(589\) | 10.7177 | − | 1.88983i | 0.441617 | − | 0.0778689i | ||||
\(590\) | 1.07357 | − | 8.04441i | 0.0441980 | − | 0.331183i | ||||
\(591\) | 23.6538i | 0.972987i | ||||||||
\(592\) | 3.56947 | − | 4.92533i | 0.146704 | − | 0.202430i | ||||
\(593\) | 1.71172 | + | 1.71172i | 0.0702919 | + | 0.0702919i | 0.741379 | − | 0.671087i | \(-0.234172\pi\) |
−0.671087 | + | 0.741379i | \(0.734172\pi\) | |||||||
\(594\) | 12.3739 | + | 17.6718i | 0.507709 | + | 0.725084i | ||||
\(595\) | −2.94272 | − | 13.3859i | −0.120640 | − | 0.548768i | ||||
\(596\) | 3.54129 | − | 9.72961i | 0.145057 | − | 0.398540i | ||||
\(597\) | −14.2135 | − | 16.9390i | −0.581719 | − | 0.693266i | ||||
\(598\) | 31.5737 | 1.29114 | ||||||||
\(599\) | −3.35056 | − | 3.99304i | −0.136900 | − | 0.163151i | 0.693239 | − | 0.720708i | \(-0.256183\pi\) |
−0.830139 | + | 0.557557i | \(0.811739\pi\) | |||||||
\(600\) | −7.61203 | + | 2.74005i | −0.310760 | + | 0.111862i | ||||
\(601\) | 7.90700 | − | 2.87791i | 0.322533 | − | 0.117392i | −0.175679 | − | 0.984447i | \(-0.556212\pi\) |
0.498212 | + | 0.867055i | \(0.333990\pi\) | |||||||
\(602\) | 3.44152 | + | 0.922153i | 0.140266 | + | 0.0375842i | ||||
\(603\) | −0.245678 | − | 0.916882i | −0.0100048 | − | 0.0373383i | ||||
\(604\) | −5.38880 | − | 0.950191i | −0.219267 | − | 0.0386627i | ||||
\(605\) | 9.01793 | − | 4.67416i | 0.366631 | − | 0.190032i | ||||
\(606\) | 3.87266 | − | 14.4529i | 0.157316 | − | 0.587111i | ||||
\(607\) | 12.6176 | + | 10.5874i | 0.512131 | + | 0.429729i | 0.861878 | − | 0.507115i | \(-0.169288\pi\) |
−0.349747 | + | 0.936844i | \(0.613733\pi\) | |||||||
\(608\) | −0.178163 | − | 2.03642i | −0.00722548 | − | 0.0825877i | ||||
\(609\) | 0.756035 | + | 0.352545i | 0.0306361 | + | 0.0142858i | ||||
\(610\) | 3.84133 | + | 17.4735i | 0.155531 | + | 0.707483i | ||||
\(611\) | −55.3468 | − | 38.7542i | −2.23909 | − | 1.56783i | ||||
\(612\) | −1.71913 | + | 0.625712i | −0.0694917 | + | 0.0252929i | ||||
\(613\) | 21.9774 | − | 1.92277i | 0.887658 | − | 0.0776600i | 0.365801 | − | 0.930693i | \(-0.380795\pi\) |
0.521857 | + | 0.853033i | \(0.325239\pi\) | |||||||
\(614\) | −1.50163 | − | 17.1637i | −0.0606009 | − | 0.692672i | ||||
\(615\) | 18.2752 | + | 28.7988i | 0.736929 | + | 1.16128i | ||||
\(616\) | −2.13216 | − | 4.57242i | −0.0859070 | − | 0.184228i | ||||
\(617\) | 1.45640 | − | 1.01978i | 0.0586326 | − | 0.0410550i | −0.543893 | − | 0.839155i | \(-0.683050\pi\) |
0.602525 | + | 0.798100i | \(0.294161\pi\) | |||||||
\(618\) | 12.9812 | − | 3.47829i | 0.522179 | − | 0.139917i | ||||
\(619\) | −0.101262 | − | 0.175390i | −0.00407005 | − | 0.00704953i | 0.863983 | − | 0.503521i | \(-0.167962\pi\) |
−0.868053 | + | 0.496471i | \(0.834629\pi\) | |||||||
\(620\) | 11.0064 | − | 4.53620i | 0.442029 | − | 0.182178i | ||||
\(621\) | −27.6291 | + | 7.40320i | −1.10872 | + | 0.297080i | ||||
\(622\) | 5.89125 | + | 0.515417i | 0.236218 | + | 0.0206664i | ||||
\(623\) | 9.27531i | 0.371607i | ||||||||
\(624\) | −0.851810 | + | 9.73623i | −0.0340997 | + | 0.389761i | ||||
\(625\) | 24.5888 | + | 4.51552i | 0.983553 | + | 0.180621i | ||||
\(626\) | 3.55374 | + | 20.1543i | 0.142036 | + | 0.805526i | ||||
\(627\) | −12.8417 | − | 2.26434i | −0.512848 | − | 0.0904289i | ||||
\(628\) | −8.11228 | + | 8.11228i | −0.323715 | + | 0.323715i | ||||
\(629\) | 26.6011 | − | 11.8817i | 1.06066 | − | 0.473756i | ||||
\(630\) | −1.09204 | + | 0.0457415i | −0.0435077 | + | 0.00182239i | ||||
\(631\) | 27.5510 | − | 19.2914i | 1.09679 | − | 0.767979i | 0.122316 | − | 0.992491i | \(-0.460968\pi\) |
0.974471 | + | 0.224512i | \(0.0720790\pi\) | |||||||
\(632\) | −4.30839 | + | 6.15302i | −0.171379 | + | 0.244754i | ||||
\(633\) | −8.41764 | + | 3.92521i | −0.334571 | + | 0.156013i | ||||
\(634\) | 15.3163 | + | 1.34000i | 0.608288 | + | 0.0532183i | ||||
\(635\) | 0.313474 | + | 7.48390i | 0.0124398 | + | 0.296989i | ||||
\(636\) | −2.05324 | + | 1.72287i | −0.0814163 | + | 0.0683164i | ||||
\(637\) | 28.0508 | + | 16.1951i | 1.11141 | + | 0.641674i | ||||
\(638\) | −1.43947 | − | 0.671238i | −0.0569894 | − | 0.0265746i | ||||
\(639\) | 4.38009 | − | 2.52885i | 0.173274 | − | 0.100040i | ||||
\(640\) | −0.668620 | − | 2.13376i | −0.0264295 | − | 0.0843444i | ||||
\(641\) | 3.22304 | − | 18.2788i | 0.127302 | − | 0.721968i | −0.852611 | − | 0.522546i | \(-0.824982\pi\) |
0.979914 | − | 0.199422i | \(-0.0639065\pi\) | |||||||
\(642\) | 11.2902 | − | 31.0197i | 0.445590 | − | 1.22425i | ||||
\(643\) | −34.2109 | + | 19.7517i | −1.34915 | + | 0.778931i | −0.988129 | − | 0.153628i | \(-0.950904\pi\) |
−0.361019 | + | 0.932558i | \(0.617571\pi\) | |||||||
\(644\) | 6.66379 | − | 0.583006i | 0.262590 | − | 0.0229737i | ||||
\(645\) | 6.14635 | − | 7.98077i | 0.242012 | − | 0.314242i | ||||
\(646\) | 4.13782 | − | 8.87359i | 0.162800 | − | 0.349127i | ||||
\(647\) | −4.18903 | − | 23.7572i | −0.164688 | − | 0.933991i | −0.949386 | − | 0.314113i | \(-0.898293\pi\) |
0.784698 | − | 0.619878i | \(-0.212818\pi\) | |||||||
\(648\) | −1.33852 | − | 7.59111i | −0.0525819 | − | 0.298207i | ||||
\(649\) | 6.04716 | − | 12.9682i | 0.237372 | − | 0.509045i | ||||
\(650\) | 17.4104 | − | 24.6781i | 0.682892 | − | 0.967955i | ||||
\(651\) | −10.9817 | + | 0.960778i | −0.430408 | + | 0.0376559i | ||||
\(652\) | −5.71140 | + | 3.29748i | −0.223676 | + | 0.129139i | ||||
\(653\) | 16.6251 | − | 45.6771i | 0.650591 | − | 1.78748i | 0.0350399 | − | 0.999386i | \(-0.488844\pi\) |
0.615551 | − | 0.788097i | \(-0.288934\pi\) | |||||||
\(654\) | −3.67424 | + | 20.8376i | −0.143674 | + | 0.814816i | ||||
\(655\) | −0.211668 | + | 0.404858i | −0.00827056 | + | 0.0158191i | ||||
\(656\) | −8.16421 | + | 4.71361i | −0.318759 | + | 0.184036i | ||||
\(657\) | 4.08731 | + | 1.90594i | 0.159461 | + | 0.0743579i | ||||
\(658\) | −12.3968 | − | 7.15730i | −0.483278 | − | 0.279021i | ||||
\(659\) | −7.54238 | + | 6.32881i | −0.293809 | + | 0.246535i | −0.777762 | − | 0.628559i | \(-0.783645\pi\) |
0.483953 | + | 0.875094i | \(0.339201\pi\) | |||||||
\(660\) | −14.2512 | + | 0.596934i | −0.554728 | + | 0.0232356i | ||||
\(661\) | 22.6546 | + | 1.98202i | 0.881161 | + | 0.0770916i | 0.518749 | − | 0.854927i | \(-0.326398\pi\) |
0.362412 | + | 0.932018i | \(0.381953\pi\) | |||||||
\(662\) | 1.49660 | − | 0.697877i | 0.0581671 | − | 0.0271237i | ||||
\(663\) | −26.8496 | + | 38.3453i | −1.04275 | + | 1.48921i | ||||
\(664\) | −0.922214 | + | 0.645741i | −0.0357888 | + | 0.0250596i | ||||
\(665\) | 3.95949 | − | 4.30569i | 0.153542 | − | 0.166968i | ||||
\(666\) | −0.564776 | − | 2.25370i | −0.0218846 | − | 0.0873293i | ||||
\(667\) | 1.48909 | − | 1.48909i | 0.0576577 | − | 0.0576577i | ||||
\(668\) | −9.37810 | − | 1.65361i | −0.362850 | − | 0.0639802i | ||||
\(669\) | 1.02622 | + | 5.82000i | 0.0396761 | + | 0.225014i | ||||
\(670\) | 5.29674 | + | 1.68038i | 0.204631 | + | 0.0649186i | ||||
\(671\) | −2.74917 | + | 31.4231i | −0.106130 | + | 1.21308i | ||||
\(672\) | 2.07061i | 0.0798755i | ||||||||
\(673\) | −23.4174 | − | 2.04876i | −0.902674 | − | 0.0789737i | −0.373639 | − | 0.927574i | \(-0.621890\pi\) |
−0.529035 | + | 0.848600i | \(0.677446\pi\) | |||||||
\(674\) | −26.1537 | + | 7.00785i | −1.00740 | + | 0.269932i | ||||
\(675\) | −9.44892 | + | 25.6773i | −0.363689 | + | 0.988320i | ||||
\(676\) | −11.7426 | − | 20.3388i | −0.451639 | − | 0.782262i | ||||
\(677\) | −41.6036 | + | 11.1477i | −1.59896 | + | 0.428439i | −0.944727 | − | 0.327857i | \(-0.893674\pi\) |
−0.654230 | + | 0.756296i | \(0.727007\pi\) | |||||||
\(678\) | 22.0487 | − | 15.4387i | 0.846775 | − | 0.592918i | ||||
\(679\) | −6.21721 | − | 13.3329i | −0.238595 | − | 0.511668i | ||||
\(680\) | 2.33656 | − | 10.4519i | 0.0896032 | − | 0.400813i | ||||
\(681\) | 0.288768 | + | 3.30063i | 0.0110656 | + | 0.126480i | ||||
\(682\) | 20.9090 | − | 1.82930i | 0.800647 | − | 0.0700476i | ||||
\(683\) | −24.0262 | + | 8.74483i | −0.919338 | + | 0.334612i | −0.757975 | − | 0.652284i | \(-0.773811\pi\) |
−0.161363 | + | 0.986895i | \(0.551589\pi\) | |||||||
\(684\) | −0.639601 | − | 0.447853i | −0.0244558 | − | 0.0171241i | ||||
\(685\) | −5.75494 | + | 1.26515i | −0.219885 | + | 0.0483388i | ||||
\(686\) | 14.3380 | + | 6.68590i | 0.547426 | + | 0.255269i | ||||
\(687\) | 1.60036 | + | 18.2922i | 0.0610575 | + | 0.697890i | ||||
\(688\) | 2.13280 | + | 1.78963i | 0.0813123 | + | 0.0682291i | ||||
\(689\) | 2.58972 | − | 9.66497i | 0.0986605 | − | 0.368206i | ||||
\(690\) | 5.71891 | − | 18.0267i | 0.217715 | − | 0.686264i | ||||
\(691\) | −4.94071 | − | 0.871181i | −0.187954 | − | 0.0331413i | 0.0788789 | − | 0.996884i | \(-0.474866\pi\) |
−0.266833 | + | 0.963743i | \(0.585977\pi\) | |||||||
\(692\) | −0.316611 | − | 1.18161i | −0.0120357 | − | 0.0449180i | ||||
\(693\) | −1.86139 | − | 0.498757i | −0.0707082 | − | 0.0189462i | ||||
\(694\) | −21.6593 | + | 7.88333i | −0.822175 | + | 0.299247i | ||||
\(695\) | 2.54170 | + | 8.11132i | 0.0964123 | + | 0.307680i | ||||
\(696\) | 0.419009 | + | 0.499356i | 0.0158825 | + | 0.0189280i | ||||
\(697\) | −45.1528 | −1.71028 | ||||||||
\(698\) | −15.9676 | − | 19.0294i | −0.604381 | − | 0.720274i | ||||
\(699\) | 8.68161 | − | 23.8525i | 0.328369 | − | 0.902186i | ||||
\(700\) | 3.21888 | − | 5.52992i | 0.121662 | − | 0.209011i | ||||
\(701\) | −9.80159 | − | 13.9981i | −0.370201 | − | 0.528702i | 0.590224 | − | 0.807239i | \(-0.299039\pi\) |
−0.960425 | + | 0.278538i | \(0.910150\pi\) | |||||||
\(702\) | 23.3722 | + | 23.3722i | 0.882129 | + | 0.882129i | ||||
\(703\) | 10.6660 | + | 6.39141i | 0.402275 | + | 0.241057i | ||||
\(704\) | − | 3.94240i | − | 0.148585i | ||||||
\(705\) | −32.1512 | + | 24.5802i | −1.21089 | + | 0.925742i | ||||
\(706\) | −21.4326 | + | 3.77914i | −0.806626 | + | 0.142230i | ||||
\(707\) | 5.00131 | + | 10.7253i | 0.188093 | + | 0.403368i | ||||
\(708\) | −4.49867 | + | 3.77484i | −0.169071 | + | 0.141867i | ||||
\(709\) | −25.7706 | − | 25.7706i | −0.967836 | − | 0.967836i | 0.0316629 | − | 0.999499i | \(-0.489920\pi\) |
−0.999499 | + | 0.0316629i | \(0.989920\pi\) | |||||||
\(710\) | −1.34389 | + | 29.5779i | −0.0504354 | + | 1.11004i | ||||
\(711\) | 0.742578 | + | 2.77134i | 0.0278489 | + | 0.103933i | ||||
\(712\) | −3.06314 | + | 6.56891i | −0.114796 | + | 0.246180i | ||||
\(713\) | −7.20264 | + | 26.8806i | −0.269741 | + | 1.00669i | ||||
\(714\) | −4.95871 | + | 8.58874i | −0.185575 | + | 0.321426i | ||||
\(715\) | 42.3019 | − | 32.3405i | 1.58200 | − | 1.20947i | ||||
\(716\) | 23.3096 | − | 10.8694i | 0.871119 | − | 0.406210i | ||||
\(717\) | 5.01586 | + | 8.68772i | 0.187321 | + | 0.324449i | ||||
\(718\) | −10.4180 | + | 12.4157i | −0.388798 | + | 0.463352i | ||||
\(719\) | −8.09643 | + | 9.64895i | −0.301946 | + | 0.359845i | −0.895588 | − | 0.444884i | \(-0.853245\pi\) |
0.593642 | + | 0.804729i | \(0.297689\pi\) | |||||||
\(720\) | −0.788502 | − | 0.328246i | −0.0293857 | − | 0.0122330i | ||||
\(721\) | −6.09654 | + | 8.70677i | −0.227047 | + | 0.324257i | ||||
\(722\) | −14.5961 | + | 2.57368i | −0.543210 | + | 0.0957826i | ||||
\(723\) | 0.696663 | + | 1.91407i | 0.0259092 | + | 0.0711849i | ||||
\(724\) | −8.03263 | − | 6.74018i | −0.298530 | − | 0.250497i | ||||
\(725\) | −0.342761 | − | 1.98499i | −0.0127298 | − | 0.0737206i | ||||
\(726\) | −7.09946 | − | 1.90229i | −0.263486 | − | 0.0706008i | ||||
\(727\) | −30.0991 | − | 10.9552i | −1.11632 | − | 0.406306i | −0.283009 | − | 0.959117i | \(-0.591333\pi\) |
−0.833306 | + | 0.552812i | \(0.813555\pi\) | |||||||
\(728\) | −4.43364 | − | 6.33189i | −0.164322 | − | 0.234676i | ||||
\(729\) | −25.5534 | − | 14.7533i | −0.946424 | − | 0.546418i | ||||
\(730\) | −22.2917 | + | 14.1459i | −0.825052 | + | 0.523564i | ||||
\(731\) | 4.56088 | + | 12.5309i | 0.168690 | + | 0.463473i | ||||
\(732\) | 6.47295 | − | 11.2115i | 0.239247 | − | 0.414388i | ||||
\(733\) | −0.589271 | + | 6.73540i | −0.0217652 | + | 0.248778i | 0.977516 | + | 0.210863i | \(0.0676273\pi\) |
−0.999281 | + | 0.0379153i | \(0.987928\pi\) | |||||||
\(734\) | 4.24801 | − | 4.24801i | 0.156797 | − | 0.156797i | ||||
\(735\) | 14.3272 | − | 13.0819i | 0.528468 | − | 0.482533i | ||||
\(736\) | 4.91193 | + | 1.78780i | 0.181056 | + | 0.0658991i | ||||
\(737\) | 8.02551 | + | 5.61952i | 0.295623 | + | 0.206998i | ||||
\(738\) | −0.625282 | + | 3.54615i | −0.0230169 | + | 0.130536i | ||||
\(739\) | −39.4719 | −1.45200 | −0.725998 | − | 0.687697i | \(-0.758622\pi\) | ||||
−0.725998 | + | 0.687697i | \(0.758622\pi\) | |||||||
\(740\) | 12.8961 | + | 4.32322i | 0.474071 | + | 0.158925i | ||||
\(741\) | −19.9788 | −0.733939 | ||||||||
\(742\) | 0.368111 | − | 2.08766i | 0.0135138 | − | 0.0766405i | ||||
\(743\) | −3.62457 | − | 2.53795i | −0.132973 | − | 0.0931084i | 0.505198 | − | 0.863004i | \(-0.331420\pi\) |
−0.638170 | + | 0.769895i | \(0.720308\pi\) | |||||||
\(744\) | −8.09473 | − | 2.94624i | −0.296767 | − | 0.108014i | ||||
\(745\) | 23.1285 | + | 1.05086i | 0.847361 | + | 0.0385004i | ||||
\(746\) | −8.92567 | + | 8.92567i | −0.326792 | + | 0.326792i | ||||
\(747\) | −0.0374787 | + | 0.428384i | −0.00137128 | + | 0.0156737i | ||||
\(748\) | 9.44128 | − | 16.3528i | 0.345207 | − | 0.597917i | ||||
\(749\) | 8.92947 | + | 24.5335i | 0.326276 | + | 0.896436i | ||||
\(750\) | −10.9362 | − | 14.4102i | −0.399333 | − | 0.526187i | ||||
\(751\) | −44.1898 | − | 25.5130i | −1.61251 | − | 0.930983i | −0.988786 | − | 0.149337i | \(-0.952286\pi\) |
−0.623723 | − | 0.781645i | \(-0.714381\pi\) | |||||||
\(752\) | −6.41594 | − | 9.16291i | −0.233965 | − | 0.334137i | ||||
\(753\) | 4.62089 | + | 1.68187i | 0.168395 | + | 0.0612907i | ||||
\(754\) | −2.35056 | − | 0.629830i | −0.0856022 | − | 0.0229370i | ||||
\(755\) | −1.57558 | − | 12.1337i | −0.0573412 | − | 0.441592i | ||||
\(756\) | 5.36440 | + | 4.50127i | 0.195101 | + | 0.163709i | ||||
\(757\) | −8.01547 | − | 22.0223i | −0.291327 | − | 0.800415i | −0.995873 | − | 0.0907567i | \(-0.971071\pi\) |
0.704546 | − | 0.709659i | \(-0.251151\pi\) | |||||||
\(758\) | 14.8079 | − | 2.61104i | 0.537848 | − | 0.0948372i | ||||
\(759\) | 19.1252 | − | 27.3136i | 0.694201 | − | 0.991422i | ||||
\(760\) | 4.22611 | − | 1.74175i | 0.153297 | − | 0.0631799i | ||||
\(761\) | 24.1077 | − | 28.7304i | 0.873902 | − | 1.04148i | −0.124882 | − | 0.992172i | \(-0.539855\pi\) |
0.998784 | − | 0.0493044i | \(-0.0157004\pi\) | |||||||
\(762\) | 3.48401 | − | 4.15208i | 0.126212 | − | 0.150414i | ||||
\(763\) | −8.36738 | − | 14.4927i | −0.302920 | − | 0.524672i | ||||
\(764\) | −23.2911 | + | 10.8608i | −0.842642 | + | 0.392930i | ||||
\(765\) | −2.48457 | − | 3.24985i | −0.0898296 | − | 0.117499i | ||||
\(766\) | −7.90406 | + | 13.6902i | −0.285585 | + | 0.494648i | ||||
\(767\) | 5.67411 | − | 21.1761i | 0.204880 | − | 0.764623i | ||||
\(768\) | −0.683811 | + | 1.46644i | −0.0246749 | + | 0.0529155i | ||||
\(769\) | 7.70467 | + | 28.7542i | 0.277837 | + | 1.03690i | 0.953916 | + | 0.300074i | \(0.0970113\pi\) |
−0.676079 | + | 0.736829i | \(0.736322\pi\) | |||||||
\(770\) | 8.33086 | − | 7.60673i | 0.300224 | − | 0.274127i | ||||
\(771\) | 27.5432 | + | 27.5432i | 0.991945 | + | 0.991945i | ||||
\(772\) | −18.5801 | + | 15.5905i | −0.668711 | + | 0.561115i | ||||
\(773\) | 13.0088 | + | 27.8975i | 0.467895 | + | 1.00340i | 0.988725 | + | 0.149743i | \(0.0478448\pi\) |
−0.520830 | + | 0.853660i | \(0.674377\pi\) | |||||||
\(774\) | 1.04730 | − | 0.184667i | 0.0376443 | − | 0.00663771i | ||||
\(775\) | 17.0383 | + | 20.4522i | 0.612034 | + | 0.734663i | ||||
\(776\) | − | 11.4957i | − | 0.412673i | ||||||
\(777\) | −10.1984 | − | 7.39097i | −0.365867 | − | 0.265150i | ||||
\(778\) | 4.16708 | + | 4.16708i | 0.149397 | + | 0.149397i | ||||
\(779\) | −11.0534 | − | 15.7860i | −0.396031 | − | 0.565590i | ||||
\(780\) | −21.3443 | + | 4.69228i | −0.764250 | + | 0.168011i | ||||
\(781\) | −17.8543 | + | 49.0543i | −0.638877 | + | 1.75530i | ||||
\(782\) | 16.0929 | + | 19.1788i | 0.575482 | + | 0.685832i | ||||
\(783\) | 2.20458 | 0.0787851 | ||||||||
\(784\) | 3.44685 | + | 4.10780i | 0.123102 | + | 0.146707i | ||||
\(785\) | −22.7337 | − | 11.8857i | −0.811402 | − | 0.424217i | ||||
\(786\) | 0.310645 | − | 0.113066i | 0.0110803 | − | 0.00403291i | ||||
\(787\) | 34.7420 | + | 9.30910i | 1.23842 | + | 0.331834i | 0.817853 | − | 0.575428i | \(-0.195164\pi\) |
0.420567 | + | 0.907261i | \(0.361831\pi\) | |||||||
\(788\) | −3.78363 | − | 14.1207i | −0.134786 | − | 0.503030i | ||||
\(789\) | −27.7761 | − | 4.89767i | −0.988855 | − | 0.174362i | ||||
\(790\) | −16.0098 | − | 5.07906i | −0.569602 | − | 0.180705i | ||||
\(791\) | −5.50982 | + | 20.5629i | −0.195907 | + | 0.731133i | ||||
\(792\) | −1.15355 | − | 0.967943i | −0.0409896 | − | 0.0343943i | ||||
\(793\) | 4.21211 | + | 48.1446i | 0.149576 | + | 1.70967i | ||||
\(794\) | −6.79115 | − | 3.16677i | −0.241009 | − | 0.112384i | ||||
\(795\) | −5.04905 | − | 3.22918i | −0.179071 | − | 0.114527i | ||||
\(796\) | 11.1946 | + | 7.83856i | 0.396783 | + | 0.277831i | ||||
\(797\) | −19.2137 | + | 6.99322i | −0.680585 | + | 0.247713i | −0.659099 | − | 0.752056i | \(-0.729062\pi\) |
−0.0214863 | + | 0.999769i | \(0.506840\pi\) | |||||||
\(798\) | −4.21663 | + | 0.368907i | −0.149267 | + | 0.0130592i | ||||
\(799\) | −4.66945 | − | 53.3721i | −0.165193 | − | 1.88817i | ||||
\(800\) | 4.10589 | − | 2.85336i | 0.145165 | − | 0.100881i | ||||
\(801\) | 1.17001 | + | 2.50909i | 0.0413401 | + | 0.0886542i | ||||
\(802\) | −6.96661 | + | 4.87807i | −0.246000 | + | 0.172251i | ||||
\(803\) | −44.9618 | + | 12.0475i | −1.58667 | + | 0.425146i | ||||
\(804\) | −2.01051 | − | 3.48230i | −0.0709051 | − | 0.122811i | ||||
\(805\) | 5.69954 | + | 13.8291i | 0.200882 | + | 0.487413i | ||||
\(806\) | 31.0621 | − | 8.32308i | 1.09412 | − | 0.293168i | ||||
\(807\) | 7.02160 | + | 0.614311i | 0.247172 | + | 0.0216248i | ||||
\(808\) | 9.24751i | 0.325326i | ||||||||
\(809\) | −0.769990 | + | 8.80103i | −0.0270714 | + | 0.309428i | 0.970572 | + | 0.240812i | \(0.0774138\pi\) |
−0.997643 | + | 0.0686156i | \(0.978142\pi\) | |||||||
\(810\) | 15.3027 | − | 7.93165i | 0.537681 | − | 0.278690i | ||||
\(811\) | −1.80256 | − | 10.2228i | −0.0632964 | − | 0.358972i | −0.999962 | − | 0.00874614i | \(-0.997216\pi\) |
0.936665 | − | 0.350226i | \(-0.113895\pi\) | |||||||
\(812\) | −0.507727 | − | 0.0895259i | −0.0178177 | − | 0.00314174i | ||||
\(813\) | −11.1529 | + | 11.1529i | −0.391151 | + | 0.391151i | ||||
\(814\) | 19.4176 | + | 14.0723i | 0.680587 | + | 0.493232i | ||||
\(815\) | −10.8548 | − | 9.98202i | −0.380227 | − | 0.349655i | ||||
\(816\) | −6.34824 | + | 4.44508i | −0.222233 | + | 0.155609i | ||||
\(817\) | −3.26445 | + | 4.66212i | −0.114209 | + | 0.163107i | ||||
\(818\) | −2.94107 | + | 1.37145i | −0.102832 | + | 0.0479515i | ||||
\(819\) | −2.94127 | − | 0.257328i | −0.102776 | − | 0.00899177i | ||||
\(820\) | −15.5165 | − | 14.2689i | −0.541859 | − | 0.498291i | ||||
\(821\) | −23.1272 | + | 19.4060i | −0.807143 | + | 0.677274i | −0.949924 | − | 0.312481i | \(-0.898840\pi\) |
0.142781 | + | 0.989754i | \(0.454396\pi\) | |||||||
\(822\) | 3.69252 | + | 2.13188i | 0.128791 | + | 0.0743577i | ||||
\(823\) | −19.4536 | − | 9.07137i | −0.678111 | − | 0.316208i | 0.0528749 | − | 0.998601i | \(-0.483162\pi\) |
−0.730986 | + | 0.682393i | \(0.760939\pi\) | |||||||
\(824\) | −7.19304 | + | 4.15291i | −0.250582 | + | 0.144673i | ||||
\(825\) | −10.8024 | − | 30.0096i | −0.376091 | − | 1.04480i | ||||
\(826\) | 0.806535 | − | 4.57409i | 0.0280629 | − | 0.159153i | ||||
\(827\) | −6.06345 | + | 16.6592i | −0.210847 | + | 0.579297i | −0.999362 | − | 0.0357184i | \(-0.988628\pi\) |
0.788515 | + | 0.615016i | \(0.210850\pi\) | |||||||
\(828\) | 1.72910 | − | 0.998294i | 0.0600903 | − | 0.0346931i | ||||
\(829\) | 49.1204 | − | 4.29748i | 1.70602 | − | 0.149258i | 0.807993 | − | 0.589192i | \(-0.200554\pi\) |
0.898030 | + | 0.439935i | \(0.144998\pi\) | |||||||
\(830\) | −1.99447 | − | 1.53603i | −0.0692290 | − | 0.0533164i | ||||
\(831\) | 13.3131 | − | 28.5501i | 0.461828 | − | 0.990392i | ||||
\(832\) | −1.04889 | − | 5.94854i | −0.0363636 | − | 0.206228i | ||||
\(833\) | 4.45991 | + | 25.2934i | 0.154527 | + | 0.876365i | ||||
\(834\) | 2.59945 | − | 5.57454i | 0.0900116 | − | 0.193030i | ||||
\(835\) | −2.74197 | − | 21.1163i | −0.0948898 | − | 0.730759i | ||||
\(836\) | 8.02837 | − | 0.702391i | 0.277667 | − | 0.0242927i | ||||
\(837\) | −25.2299 | + | 14.5665i | −0.872074 | + | 0.503492i | ||||
\(838\) | 11.7237 | − | 32.2107i | 0.404989 | − | 1.11270i | ||||
\(839\) | 4.07752 | − | 23.1248i | 0.140772 | − | 0.798355i | −0.829894 | − | 0.557921i | \(-0.811599\pi\) |
0.970665 | − | 0.240434i | \(-0.0772898\pi\) | |||||||
\(840\) | −4.41819 | + | 1.38445i | −0.152442 | + | 0.0477681i | ||||
\(841\) | 24.9742 | − | 14.4188i | 0.861178 | − | 0.497202i | ||||
\(842\) | −18.8284 | − | 8.77982i | −0.648869 | − | 0.302573i | ||||
\(843\) | −40.6216 | − | 23.4529i | −1.39908 | − | 0.807760i | ||||
\(844\) | 4.39725 | − | 3.68973i | 0.151360 | − | 0.127006i | ||||
\(845\) | 35.5469 | − | 38.6549i | 1.22285 | − | 1.32977i | ||||
\(846\) | −4.25633 | − | 0.372381i | −0.146336 | − | 0.0128027i | ||||
\(847\) | 5.26841 | − | 2.45670i | 0.181025 | − | 0.0844132i | ||||
\(848\) | 0.950144 | − | 1.35695i | 0.0326281 | − | 0.0465977i | ||||
\(849\) | 30.9054 | − | 21.6402i | 1.06067 | − | 0.742689i | ||||
\(850\) | 23.8642 | − | 2.00269i | 0.818535 | − | 0.0686916i | ||||
\(851\) | −26.3385 | + | 17.8114i | −0.902872 | + | 0.610568i | ||||
\(852\) | 15.1497 | − | 15.1497i | 0.519020 | − | 0.519020i | ||||
\(853\) | −30.3842 | − | 5.35756i | −1.04034 | − | 0.183439i | −0.372719 | − | 0.927944i | \(-0.621574\pi\) |
−0.667617 | + | 0.744505i | \(0.732685\pi\) | |||||||
\(854\) | 1.77797 | + | 10.0834i | 0.0608410 | + | 0.345046i | ||||
\(855\) | 0.527963 | − | 1.66420i | 0.0180560 | − | 0.0569145i | ||||
\(856\) | −1.77811 | + | 20.3239i | −0.0607747 | + | 0.694658i | ||||
\(857\) | − | 17.5369i | − | 0.599049i | −0.954089 | − | 0.299524i | \(-0.903172\pi\) | ||
0.954089 | − | 0.299524i | \(-0.0968280\pi\) | |||||||
\(858\) | −38.3841 | − | 3.35817i | −1.31041 | − | 0.114646i | ||||
\(859\) | 17.7553 | − | 4.75753i | 0.605804 | − | 0.162325i | 0.0571380 | − | 0.998366i | \(-0.481803\pi\) |
0.548666 | + | 0.836042i | \(0.315136\pi\) | |||||||
\(860\) | −2.39262 | + | 5.74748i | −0.0815876 | + | 0.195987i | ||||
\(861\) | 9.76004 | + | 16.9049i | 0.332621 | + | 0.576117i | ||||
\(862\) | 10.5722 | − | 2.83282i | 0.360091 | − | 0.0964862i | ||||
\(863\) | 11.9177 | − | 8.34485i | 0.405682 | − | 0.284062i | −0.352872 | − | 0.935672i | \(-0.614795\pi\) |
0.758554 | + | 0.651610i | \(0.225906\pi\) | |||||||
\(864\) | 2.31262 | + | 4.95944i | 0.0786771 | + | 0.168724i | ||||
\(865\) | 2.30958 | − | 1.46562i | 0.0785280 | − | 0.0498325i | ||||
\(866\) | −1.82177 | − | 20.8229i | −0.0619061 | − | 0.707590i | ||||
\(867\) | −9.57523 | + | 0.837724i | −0.325192 | + | 0.0284506i | ||||
\(868\) | 6.40214 | − | 2.33019i | 0.217303 | − | 0.0790917i | ||||
\(869\) | −24.2577 | − | 16.9854i | −0.822885 | − | 0.576190i | ||||
\(870\) | −0.785349 | + | 1.22795i | −0.0266258 | + | 0.0416313i | ||||
\(871\) | 13.6045 | + | 6.34388i | 0.460970 | + | 0.214954i | ||||
\(872\) | −1.13974 | − | 13.0273i | −0.0385964 | − | 0.441159i | ||||
\(873\) | −3.36367 | − | 2.82245i | −0.113843 | − | 0.0955255i | ||||
\(874\) | −2.76558 | + | 10.3213i | −0.0935470 | + | 0.349122i | ||||
\(875\) | 13.9518 | + | 3.17090i | 0.471655 | + | 0.107196i | ||||
\(876\) | 18.8139 | + | 3.31740i | 0.635663 | + | 0.112085i | ||||
\(877\) | 0.794557 | + | 2.96533i | 0.0268303 | + | 0.100132i | 0.978043 | − | 0.208405i | \(-0.0668273\pi\) |
−0.951212 | + | 0.308537i | \(0.900161\pi\) | |||||||
\(878\) | 5.57031 | + | 1.49256i | 0.187989 | + | 0.0503714i | ||||
\(879\) | 39.3620 | − | 14.3266i | 1.32765 | − | 0.483224i | ||||
\(880\) | 8.41214 | − | 2.63597i | 0.283573 | − | 0.0888584i | ||||
\(881\) | −27.3113 | − | 32.5484i | −0.920143 | − | 1.09658i | −0.995048 | − | 0.0993927i | \(-0.968310\pi\) |
0.0749056 | − | 0.997191i | \(-0.476134\pi\) | |||||||
\(882\) | 2.04822 | 0.0689672 | ||||||||
\(883\) | −16.9037 | − | 20.1450i | −0.568855 | − | 0.677935i | 0.402541 | − | 0.915402i | \(-0.368127\pi\) |
−0.971396 | + | 0.237467i | \(0.923683\pi\) | |||||||
\(884\) | 9.89489 | − | 27.1860i | 0.332801 | − | 0.914364i | ||||
\(885\) | −11.0625 | − | 7.07517i | −0.371862 | − | 0.237829i | ||||
\(886\) | 16.3370 | + | 23.3316i | 0.548852 | + | 0.783841i | ||||
\(887\) | −20.6890 | − | 20.6890i | −0.694667 | − | 0.694667i | 0.268588 | − | 0.963255i | \(-0.413443\pi\) |
−0.963255 | + | 0.268588i | \(0.913443\pi\) | |||||||
\(888\) | −4.78185 | − | 8.60240i | −0.160468 | − | 0.288678i | ||||
\(889\) | 4.28681i | 0.143775i | ||||||||
\(890\) | −16.0646 | − | 2.14390i | −0.538486 | − | 0.0718636i | ||||
\(891\) | 29.9272 | − | 5.27696i | 1.00260 | − | 0.176785i | ||||
\(892\) | −1.54359 | − | 3.31024i | −0.0516832 | − | 0.110835i | ||||
\(893\) | 17.5164 | − | 14.6980i | 0.586165 | − | 0.491851i | ||||
\(894\) | −11.8463 | − | 11.8463i | −0.396199 | − | 0.396199i | ||||
\(895\) | 38.7780 | + | 42.4696i | 1.29621 | + | 1.41960i | ||||
\(896\) | −0.331212 | − | 1.23610i | −0.0110650 | − | 0.0412953i | ||||
\(897\) | 21.5904 | − | 46.3008i | 0.720884 | − | 1.54594i | ||||
\(898\) | −1.14686 | + | 4.28014i | −0.0382712 | + | 0.142830i | ||||
\(899\) | 1.07243 | − | 1.85750i | 0.0357674 | − | 0.0619509i | ||||
\(900\) | 0.173190 | − | 1.90195i | 0.00577301 | − | 0.0633983i | ||||
\(901\) | 7.19076 | − | 3.35311i | 0.239559 | − | 0.111708i | ||||
\(902\) | −18.5829 | − | 32.1865i | −0.618743 | − | 1.07169i | ||||
\(903\) | 3.70563 | − | 4.41620i | 0.123316 | − | 0.146962i | ||||
\(904\) | −10.6930 | + | 12.7434i | −0.355643 | + | 0.423839i | ||||
\(905\) | 9.01116 | − | 21.6463i | 0.299541 | − | 0.719549i | ||||
\(906\) | −5.07832 | + | 7.25259i | −0.168716 | + | 0.240951i | ||||
\(907\) | −32.8519 | + | 5.79267i | −1.09083 | + | 0.192343i | −0.689999 | − | 0.723810i | \(-0.742389\pi\) |
−0.400830 | + | 0.916153i | \(0.631278\pi\) | |||||||
\(908\) | −0.700352 | − | 1.92420i | −0.0232420 | − | 0.0638569i | ||||
\(909\) | 2.70583 | + | 2.27046i | 0.0897468 | + | 0.0753065i | ||||
\(910\) | 10.5463 | − | 13.6940i | 0.349608 | − | 0.453951i | ||||
\(911\) | 29.2235 | + | 7.83043i | 0.968219 | + | 0.259434i | 0.708076 | − | 0.706136i | \(-0.249563\pi\) |
0.260144 | + | 0.965570i | \(0.416230\pi\) | |||||||
\(912\) | −3.10811 | − | 1.13126i | −0.102920 | − | 0.0374597i | ||||
\(913\) | −2.54577 | − | 3.63573i | −0.0842526 | − | 0.120325i | ||||
\(914\) | −4.46948 | − | 2.58046i | −0.147837 | − | 0.0853540i | ||||
\(915\) | 28.2506 | + | 6.31553i | 0.933936 | + | 0.208785i | ||||
\(916\) | −3.88137 | − | 10.6640i | −0.128244 | − | 0.352348i | ||||
\(917\) | −0.130729 | + | 0.226429i | −0.00431704 | + | 0.00747734i | ||||
\(918\) | −2.28430 | + | 26.1097i | −0.0753932 | + | 0.861748i | ||||
\(919\) | −25.0999 | + | 25.0999i | −0.827969 | + | 0.827969i | −0.987236 | − | 0.159267i | \(-0.949087\pi\) |
0.159267 | + | 0.987236i | \(0.449087\pi\) | |||||||
\(920\) | −0.530519 | + | 11.6763i | −0.0174907 | + | 0.384955i | ||||
\(921\) | −26.1964 | − | 9.53470i | −0.863200 | − | 0.314179i | ||||
\(922\) | 1.79524 | + | 1.25704i | 0.0591230 | + | 0.0413983i | ||||
\(923\) | −13.8886 | + | 78.7664i | −0.457150 | + | 2.59263i | ||||
\(924\) | −8.16316 | −0.268548 | ||||||||
\(925\) | −0.602134 | + | 30.4079i | −0.0197980 | + | 0.999804i | ||||
\(926\) | 34.4525 | 1.13218 | ||||||||
\(927\) | −0.550902 | + | 3.12432i | −0.0180940 | + | 0.102616i | ||||
\(928\) | −0.330014 | − | 0.231078i | −0.0108332 | − | 0.00758552i | ||||
\(929\) | 38.2931 | + | 13.9375i | 1.25635 | + | 0.457276i | 0.882544 | − | 0.470229i | \(-0.155829\pi\) |
0.373810 | + | 0.927505i | \(0.378051\pi\) | |||||||
\(930\) | 0.874281 | − | 19.2422i | 0.0286688 | − | 0.630975i | ||||
\(931\) | −7.75109 | + | 7.75109i | −0.254032 | + | 0.254032i | ||||
\(932\) | −1.36728 | + | 15.6281i | −0.0447867 | + | 0.511914i | ||||
\(933\) | 4.78433 | − | 8.28670i | 0.156632 | − | 0.271294i | ||||
\(934\) | 4.07398 | + | 11.1932i | 0.133305 | + | 0.366252i | ||||
\(935\) | 41.2056 | + | 9.21166i | 1.34757 | + | 0.301254i | ||||
\(936\) | −1.99807 | − | 1.15359i | −0.0653090 | − | 0.0377062i | ||||
\(937\) | 20.6779 | + | 29.5312i | 0.675519 | + | 0.964741i | 0.999823 | + | 0.0187882i | \(0.00598081\pi\) |
−0.324305 | + | 0.945953i | \(0.605130\pi\) | |||||||
\(938\) | 2.98844 | + | 1.08770i | 0.0975759 | + | 0.0355147i | ||||
\(939\) | 31.9851 | + | 8.57037i | 1.04379 | + | 0.279683i | ||||
\(940\) | 15.2617 | − | 19.8166i | 0.497781 | − | 0.646347i | ||||
\(941\) | 2.40282 | + | 2.01621i | 0.0783298 | + | 0.0657265i | 0.681112 | − | 0.732179i | \(-0.261497\pi\) |
−0.602782 | + | 0.797906i | \(0.705941\pi\) | |||||||
\(942\) | 6.34889 | + | 17.4434i | 0.206858 | + | 0.568338i | ||||
\(943\) | 48.5290 | − | 8.55698i | 1.58032 | − | 0.278654i | ||||
\(944\) | 2.08178 | − | 2.97308i | 0.0677560 | − | 0.0967657i | ||||
\(945\) | −6.01789 | + | 14.4560i | −0.195762 | + | 0.470254i | ||||
\(946\) | −7.05544 | + | 8.40835i | −0.229392 | + | 0.273379i | ||||
\(947\) | −2.80926 | + | 3.34794i | −0.0912886 | + | 0.108793i | −0.809755 | − | 0.586768i | \(-0.800400\pi\) |
0.718466 | + | 0.695562i | \(0.244844\pi\) | |||||||
\(948\) | 6.07690 | + | 10.5255i | 0.197368 | + | 0.341852i | ||||
\(949\) | −64.6359 | + | 30.1402i | −2.09817 | + | 0.978393i | ||||
\(950\) | 6.54214 | + | 7.85295i | 0.212255 | + | 0.254783i | ||||
\(951\) | 12.4385 | − | 21.5441i | 0.403346 | − | 0.698615i | ||||
\(952\) | 1.58638 | − | 5.92045i | 0.0514149 | − | 0.191883i | ||||
\(953\) | 15.0894 | − | 32.3594i | 0.488795 | − | 1.04822i | −0.494994 | − | 0.868896i | \(-0.664830\pi\) |
0.983789 | − | 0.179328i | \(-0.0573923\pi\) | |||||||
\(954\) | −0.163763 | − | 0.611173i | −0.00530203 | − | 0.0197874i | ||||
\(955\) | −38.7473 | − | 42.4359i | −1.25383 | − | 1.37319i | ||||
\(956\) | −4.38402 | − | 4.38402i | −0.141789 | − | 0.141789i | ||||
\(957\) | −1.96866 | + | 1.65190i | −0.0636377 | + | 0.0533983i | ||||
\(958\) | 11.5036 | + | 24.6695i | 0.371664 | + | 0.797036i | ||||
\(959\) | −3.32098 | + | 0.585578i | −0.107240 | + | 0.0189093i | ||||
\(960\) | −3.58624 | − | 0.478601i | −0.115745 | − | 0.0154468i | ||||
\(961\) | − | 2.65622i | − | 0.0856844i | ||||||
\(962\) | 33.0425 | + | 16.0670i | 1.06533 | + | 0.518021i | ||||
\(963\) | 5.51024 | + | 5.51024i | 0.177565 | + | 0.177565i | ||||
\(964\) | −0.722062 | − | 1.03121i | −0.0232561 | − | 0.0332131i | ||||
\(965\) | −45.6895 | − | 29.2213i | −1.47080 | − | 0.940668i | ||||
\(966\) | 3.70183 | − | 10.1707i | 0.119104 | − | 0.327237i | ||||
\(967\) | −16.5734 | − | 19.7515i | −0.532966 | − | 0.635164i | 0.430630 | − | 0.902529i | \(-0.358292\pi\) |
−0.963595 | + | 0.267365i | \(0.913847\pi\) | |||||||
\(968\) | 4.54249 | 0.146001 | ||||||||
\(969\) | −10.1831 | − | 12.1357i | −0.327127 | − | 0.389855i | ||||
\(970\) | 24.5292 | − | 7.68629i | 0.787585 | − | 0.246792i | ||||
\(971\) | 34.8077 | − | 12.6690i | 1.11703 | − | 0.406566i | 0.283464 | − | 0.958983i | \(-0.408516\pi\) |
0.833568 | + | 0.552417i | \(0.186294\pi\) | |||||||
\(972\) | 3.80985 | + | 1.02085i | 0.122201 | + | 0.0327437i | ||||
\(973\) | 1.25908 | + | 4.69893i | 0.0403641 | + | 0.150641i | ||||
\(974\) | −40.5987 | − | 7.15864i | −1.30087 | − | 0.229378i | ||||
\(975\) | −24.2835 | − | 42.4064i | −0.777694 | − | 1.35809i | ||||
\(976\) | −2.07081 | + | 7.72838i | −0.0662851 | + | 0.247379i | ||||
\(977\) | 43.4498 | + | 36.4587i | 1.39008 | + | 1.16642i | 0.965307 | + | 0.261118i | \(0.0840912\pi\) |
0.424775 | + | 0.905299i | \(0.360353\pi\) | |||||||
\(978\) | 0.930028 | + | 10.6303i | 0.0297390 | + | 0.339918i | ||||
\(979\) | −25.8973 | − | 12.0761i | −0.827680 | − | 0.385954i | ||||
\(980\) | −6.46044 | + | 10.1013i | −0.206371 | + | 0.322675i | ||||
\(981\) | −4.09162 | − | 2.86499i | −0.130636 | − | 0.0914720i | ||||
\(982\) | 24.3745 | − | 8.87159i | 0.777821 | − | 0.283104i | ||||
\(983\) | −31.7868 | + | 2.78098i | −1.01384 | + | 0.0886996i | −0.581949 | − | 0.813226i | \(-0.697710\pi\) |
−0.431892 | + | 0.901925i | \(0.642154\pi\) | |||||||
\(984\) | 1.32944 | + | 15.1955i | 0.0423809 | + | 0.484416i | ||||
\(985\) | 27.6004 | − | 17.5148i | 0.879423 | − | 0.558067i | ||||
\(986\) | −0.815487 | − | 1.74882i | −0.0259704 | − | 0.0556937i | ||||
\(987\) | −18.9728 | + | 13.2849i | −0.603911 | + | 0.422863i | ||||
\(988\) | 11.9268 | − | 3.19579i | 0.379443 | − | 0.101671i | ||||
\(989\) | −7.27668 | − | 12.6036i | −0.231385 | − | 0.400770i | ||||
\(990\) | 1.29407 | − | 3.10859i | 0.0411284 | − | 0.0987974i | ||||
\(991\) | 12.2180 | − | 3.27380i | 0.388117 | − | 0.103996i | −0.0594833 | − | 0.998229i | \(-0.518945\pi\) |
0.447601 | + | 0.894234i | \(0.352279\pi\) | |||||||
\(992\) | 5.30363 | + | 0.464007i | 0.168390 | + | 0.0147323i | ||||
\(993\) | − | 2.67189i | − | 0.0847898i | ||||||
\(994\) | −1.47685 | + | 16.8805i | −0.0468429 | + | 0.535417i | ||||
\(995\) | −9.24069 | + | 29.1277i | −0.292949 | + | 0.923411i | ||||
\(996\) | 0.316319 | + | 1.79393i | 0.0100229 | + | 0.0568430i | ||||
\(997\) | 16.8080 | + | 2.96371i | 0.532315 | + | 0.0938615i | 0.433344 | − | 0.901229i | \(-0.357334\pi\) |
0.0989715 | + | 0.995090i | \(0.468445\pi\) | |||||||
\(998\) | −27.5561 | + | 27.5561i | −0.872272 | + | 0.872272i | ||||
\(999\) | −32.6817 | − | 6.31211i | −1.03400 | − | 0.199706i |
(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 | 370.2.ba.b.283.8 | yes | 120 | |
5.2 | odd | 4 | 370.2.bd.b.357.8 | yes | 120 | ||
37.17 | odd | 36 | 370.2.bd.b.313.8 | yes | 120 | ||
185.17 | even | 36 | inner | 370.2.ba.b.17.8 | ✓ | 120 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
370.2.ba.b.17.8 | ✓ | 120 | 185.17 | even | 36 | inner | |
370.2.ba.b.283.8 | yes | 120 | 1.1 | even | 1 | trivial | |
370.2.bd.b.313.8 | yes | 120 | 37.17 | odd | 36 | ||
370.2.bd.b.357.8 | yes | 120 | 5.2 | odd | 4 |