Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(16,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (of order \(15\), degree \(8\), 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: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 106.23 | ||
Character | \(\chi\) | \(=\) | 225.106 |
Dual form | 225.2.q.a.121.23 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.79209 | + | 0.380921i | 1.26720 | + | 0.269352i | 0.791998 | − | 0.610524i | \(-0.209041\pi\) |
0.475204 | + | 0.879876i | \(0.342374\pi\) | |||||||
\(3\) | −1.49692 | + | 0.871345i | −0.864245 | + | 0.503071i | ||||
\(4\) | 1.23941 | + | 0.551821i | 0.619705 | + | 0.275910i | ||||
\(5\) | −0.0204456 | + | 2.23597i | −0.00914355 | + | 0.999958i | ||||
\(6\) | −3.01453 | + | 0.991326i | −1.23068 | + | 0.404707i | ||||
\(7\) | −2.15924 | + | 3.73991i | −0.816115 | + | 1.41355i | 0.0924090 | + | 0.995721i | \(0.470543\pi\) |
−0.908524 | + | 0.417832i | \(0.862790\pi\) | |||||||
\(8\) | −0.953512 | − | 0.692767i | −0.337117 | − | 0.244930i | ||||
\(9\) | 1.48151 | − | 2.60866i | 0.493838 | − | 0.869554i | ||||
\(10\) | −0.888371 | + | 3.99929i | −0.280928 | + | 1.26469i | ||||
\(11\) | 0.885500 | + | 0.188219i | 0.266988 | + | 0.0567501i | 0.339460 | − | 0.940620i | \(-0.389756\pi\) |
−0.0724722 | + | 0.997370i | \(0.523089\pi\) | |||||||
\(12\) | −2.33612 | + | 0.253925i | −0.674379 | + | 0.0733017i | ||||
\(13\) | 6.04866 | − | 1.28568i | 1.67760 | − | 0.356584i | 0.731844 | − | 0.681472i | \(-0.238660\pi\) |
0.945752 | + | 0.324888i | \(0.105327\pi\) | |||||||
\(14\) | −5.29417 | + | 5.87977i | −1.41493 | + | 1.57143i | ||||
\(15\) | −1.91770 | − | 3.36488i | −0.495148 | − | 0.868809i | ||||
\(16\) | −3.26052 | − | 3.62117i | −0.815129 | − | 0.905292i | ||||
\(17\) | 4.65336 | + | 3.38087i | 1.12861 | + | 0.819981i | 0.985491 | − | 0.169726i | \(-0.0542881\pi\) |
0.143115 | + | 0.989706i | \(0.454288\pi\) | |||||||
\(18\) | 3.64871 | − | 4.11063i | 0.860009 | − | 0.968884i | ||||
\(19\) | −2.14825 | − | 1.56079i | −0.492842 | − | 0.358070i | 0.313434 | − | 0.949610i | \(-0.398520\pi\) |
−0.806276 | + | 0.591539i | \(0.798520\pi\) | |||||||
\(20\) | −1.25920 | + | 2.76001i | −0.281565 | + | 0.617156i | ||||
\(21\) | −0.0265554 | − | 7.47977i | −0.00579486 | − | 1.63222i | ||||
\(22\) | 1.51520 | + | 0.674611i | 0.323042 | + | 0.143828i | ||||
\(23\) | 2.35509 | − | 2.61559i | 0.491070 | − | 0.545389i | −0.445769 | − | 0.895148i | \(-0.647070\pi\) |
0.936840 | + | 0.349759i | \(0.113737\pi\) | |||||||
\(24\) | 2.03097 | + | 0.206176i | 0.414569 | + | 0.0420854i | ||||
\(25\) | −4.99916 | − | 0.0914317i | −0.999833 | − | 0.0182863i | ||||
\(26\) | 11.3295 | 2.22190 | ||||||||
\(27\) | 0.0553423 | + | 5.19586i | 0.0106506 | + | 0.999943i | ||||
\(28\) | −4.73994 | + | 3.44377i | −0.895764 | + | 0.650811i | ||||
\(29\) | 0.238489 | + | 2.26907i | 0.0442862 | + | 0.421355i | 0.994094 | + | 0.108521i | \(0.0346116\pi\) |
−0.949808 | + | 0.312834i | \(0.898722\pi\) | |||||||
\(30\) | −2.15495 | − | 6.76068i | −0.393437 | − | 1.23433i | ||||
\(31\) | 0.244353 | − | 2.32486i | 0.0438871 | − | 0.417558i | −0.950417 | − | 0.310978i | \(-0.899343\pi\) |
0.994304 | − | 0.106580i | \(-0.0339900\pi\) | |||||||
\(32\) | −3.28516 | − | 5.69007i | −0.580740 | − | 1.00587i | ||||
\(33\) | −1.48952 | + | 0.489828i | −0.259293 | + | 0.0852682i | ||||
\(34\) | 7.05142 | + | 7.83140i | 1.20931 | + | 1.34307i | ||||
\(35\) | −8.31820 | − | 4.90447i | −1.40603 | − | 0.829006i | ||||
\(36\) | 3.27572 | − | 2.41567i | 0.545953 | − | 0.402612i | ||||
\(37\) | −0.704813 | + | 2.16919i | −0.115871 | + | 0.356613i | −0.992128 | − | 0.125231i | \(-0.960033\pi\) |
0.876257 | + | 0.481844i | \(0.160033\pi\) | |||||||
\(38\) | −3.25532 | − | 3.61540i | −0.528083 | − | 0.586496i | ||||
\(39\) | −7.93406 | + | 7.19503i | −1.27047 | + | 1.15213i | ||||
\(40\) | 1.56850 | − | 2.11786i | 0.248002 | − | 0.334864i | ||||
\(41\) | 5.91609 | − | 1.25750i | 0.923938 | − | 0.196389i | 0.278707 | − | 0.960376i | \(-0.410094\pi\) |
0.645232 | + | 0.763987i | \(0.276761\pi\) | |||||||
\(42\) | 2.80162 | − | 13.4146i | 0.432299 | − | 2.06991i | ||||
\(43\) | −1.16011 | + | 2.00937i | −0.176915 | + | 0.306427i | −0.940822 | − | 0.338900i | \(-0.889945\pi\) |
0.763907 | + | 0.645326i | \(0.223279\pi\) | |||||||
\(44\) | 0.993634 | + | 0.721917i | 0.149796 | + | 0.108833i | ||||
\(45\) | 5.80261 | + | 3.36596i | 0.865002 | + | 0.501768i | ||||
\(46\) | 5.21688 | − | 3.79028i | 0.769187 | − | 0.558847i | ||||
\(47\) | −0.583281 | − | 5.54955i | −0.0850803 | − | 0.809485i | −0.950977 | − | 0.309262i | \(-0.899918\pi\) |
0.865897 | − | 0.500223i | \(-0.166749\pi\) | |||||||
\(48\) | 8.03601 | + | 2.57955i | 1.15990 | + | 0.372326i | ||||
\(49\) | −5.82462 | − | 10.0885i | −0.832088 | − | 1.44122i | ||||
\(50\) | −8.92414 | − | 2.06814i | −1.26206 | − | 0.292480i | ||||
\(51\) | −9.91160 | − | 1.00619i | −1.38790 | − | 0.140894i | ||||
\(52\) | 8.20623 | + | 1.74429i | 1.13800 | + | 0.241889i | ||||
\(53\) | 3.50455 | − | 2.54621i | 0.481387 | − | 0.349748i | −0.320475 | − | 0.947257i | \(-0.603843\pi\) |
0.801862 | + | 0.597509i | \(0.203843\pi\) | |||||||
\(54\) | −1.88003 | + | 9.33255i | −0.255840 | + | 1.27000i | ||||
\(55\) | −0.438957 | + | 1.97611i | −0.0591889 | + | 0.266458i | ||||
\(56\) | 4.64974 | − | 2.07020i | 0.621348 | − | 0.276642i | ||||
\(57\) | 4.57574 | + | 0.464511i | 0.606071 | + | 0.0615259i | ||||
\(58\) | −0.436942 | + | 4.15723i | −0.0573733 | + | 0.545871i | ||||
\(59\) | 12.8577 | − | 2.73299i | 1.67393 | − | 0.355805i | 0.729365 | − | 0.684124i | \(-0.239815\pi\) |
0.944567 | + | 0.328319i | \(0.106482\pi\) | |||||||
\(60\) | −0.520005 | − | 5.22869i | −0.0671324 | − | 0.675021i | ||||
\(61\) | −13.8278 | − | 2.93920i | −1.77047 | − | 0.376326i | −0.796794 | − | 0.604251i | \(-0.793472\pi\) |
−0.973679 | + | 0.227925i | \(0.926806\pi\) | |||||||
\(62\) | 1.32349 | − | 4.07330i | 0.168084 | − | 0.517309i | ||||
\(63\) | 6.55722 | + | 11.1735i | 0.826132 | + | 1.40772i | ||||
\(64\) | −0.708321 | − | 2.17999i | −0.0885401 | − | 0.272498i | ||||
\(65\) | 2.75108 | + | 13.5509i | 0.341230 | + | 1.68079i | ||||
\(66\) | −2.85595 | + | 0.310428i | −0.351543 | + | 0.0382110i | ||||
\(67\) | −0.796374 | + | 7.57699i | −0.0972926 | + | 0.925677i | 0.831612 | + | 0.555357i | \(0.187419\pi\) |
−0.928904 | + | 0.370320i | \(0.879248\pi\) | |||||||
\(68\) | 3.90179 | + | 6.75810i | 0.473162 | + | 0.819540i | ||||
\(69\) | −1.24629 | + | 5.96742i | −0.150035 | + | 0.718393i | ||||
\(70\) | −13.0388 | − | 11.9578i | −1.55843 | − | 1.42924i | ||||
\(71\) | −4.21064 | + | 3.05921i | −0.499711 | + | 0.363061i | −0.808907 | − | 0.587937i | \(-0.799940\pi\) |
0.309195 | + | 0.950999i | \(0.399940\pi\) | |||||||
\(72\) | −3.21983 | + | 1.46104i | −0.379461 | + | 0.172186i | ||||
\(73\) | 0.0260643 | + | 0.0802177i | 0.00305060 | + | 0.00938878i | 0.952570 | − | 0.304319i | \(-0.0984288\pi\) |
−0.949520 | + | 0.313708i | \(0.898429\pi\) | |||||||
\(74\) | −2.08938 | + | 3.61892i | −0.242886 | + | 0.420691i | ||||
\(75\) | 7.56300 | − | 4.21913i | 0.873300 | − | 0.487183i | ||||
\(76\) | −1.80128 | − | 3.11991i | −0.206621 | − | 0.357878i | ||||
\(77\) | −2.61593 | + | 2.90528i | −0.298112 | + | 0.331087i | ||||
\(78\) | −16.9593 | + | 9.87192i | −1.92027 | + | 1.11777i | ||||
\(79\) | 0.0932729 | + | 0.887432i | 0.0104940 | + | 0.0998439i | 0.998515 | − | 0.0544747i | \(-0.0173484\pi\) |
−0.988021 | + | 0.154319i | \(0.950682\pi\) | |||||||
\(80\) | 8.16350 | − | 7.21639i | 0.912708 | − | 0.806817i | ||||
\(81\) | −4.61023 | − | 7.72954i | −0.512248 | − | 0.858838i | ||||
\(82\) | 11.0812 | 1.22371 | ||||||||
\(83\) | 0.951504 | − | 0.423637i | 0.104441 | − | 0.0465002i | −0.353851 | − | 0.935302i | \(-0.615128\pi\) |
0.458292 | + | 0.888802i | \(0.348461\pi\) | |||||||
\(84\) | 4.09458 | − | 9.28516i | 0.446755 | − | 1.01309i | ||||
\(85\) | −7.65467 | + | 10.3357i | −0.830266 | + | 1.12106i | ||||
\(86\) | −2.84444 | + | 3.15907i | −0.306724 | + | 0.340652i | ||||
\(87\) | −2.33414 | − | 3.18880i | −0.250246 | − | 0.341875i | ||||
\(88\) | −0.713942 | − | 0.792913i | −0.0761065 | − | 0.0845248i | ||||
\(89\) | 1.84560 | + | 5.68017i | 0.195633 | + | 0.602096i | 0.999969 | + | 0.00792122i | \(0.00252143\pi\) |
−0.804336 | + | 0.594175i | \(0.797479\pi\) | |||||||
\(90\) | 9.11666 | + | 8.24246i | 0.960980 | + | 0.868832i | ||||
\(91\) | −8.25216 | + | 25.3975i | −0.865062 | + | 2.66239i | ||||
\(92\) | 4.36226 | − | 1.94220i | 0.454797 | − | 0.202489i | ||||
\(93\) | 1.65998 | + | 3.69304i | 0.172132 | + | 0.382951i | ||||
\(94\) | 1.06865 | − | 10.1675i | 0.110223 | − | 1.04870i | ||||
\(95\) | 3.53382 | − | 4.77151i | 0.362562 | − | 0.489547i | ||||
\(96\) | 9.87563 | + | 5.65505i | 1.00793 | + | 0.577166i | ||||
\(97\) | 0.171397 | + | 1.63074i | 0.0174027 | + | 0.165576i | 0.999771 | − | 0.0213776i | \(-0.00680523\pi\) |
−0.982369 | + | 0.186954i | \(0.940139\pi\) | |||||||
\(98\) | −6.59533 | − | 20.2983i | −0.666229 | − | 2.05044i | ||||
\(99\) | 1.80288 | − | 2.03112i | 0.181196 | − | 0.204135i | ||||
\(100\) | −6.14556 | − | 2.87196i | −0.614556 | − | 0.287196i | ||||
\(101\) | 3.92357 | − | 6.79582i | 0.390410 | − | 0.676209i | −0.602094 | − | 0.798425i | \(-0.705667\pi\) |
0.992504 | + | 0.122216i | \(0.0390000\pi\) | |||||||
\(102\) | −17.3792 | − | 5.57872i | −1.72080 | − | 0.552375i | ||||
\(103\) | −11.4044 | − | 5.07757i | −1.12371 | − | 0.500308i | −0.241140 | − | 0.970490i | \(-0.577521\pi\) |
−0.882569 | + | 0.470183i | \(0.844188\pi\) | |||||||
\(104\) | −6.65814 | − | 2.96440i | −0.652885 | − | 0.290683i | ||||
\(105\) | 16.7251 | + | 0.0935513i | 1.63221 | + | 0.00912967i | ||||
\(106\) | 7.25039 | − | 3.22808i | 0.704220 | − | 0.313539i | ||||
\(107\) | 6.18859 | 0.598273 | 0.299137 | − | 0.954210i | \(-0.403301\pi\) | ||||
0.299137 | + | 0.954210i | \(0.403301\pi\) | |||||||
\(108\) | −2.79859 | + | 6.47033i | −0.269294 | + | 0.622608i | ||||
\(109\) | 5.35768 | − | 16.4892i | 0.513173 | − | 1.57938i | −0.273410 | − | 0.961898i | \(-0.588152\pi\) |
0.786582 | − | 0.617485i | \(-0.211848\pi\) | |||||||
\(110\) | −1.53939 | + | 3.37416i | −0.146775 | + | 0.321714i | ||||
\(111\) | −0.835069 | − | 3.86123i | −0.0792612 | − | 0.366492i | ||||
\(112\) | 20.5831 | − | 4.37507i | 1.94492 | − | 0.413405i | ||||
\(113\) | −5.86546 | + | 1.24674i | −0.551776 | + | 0.117284i | −0.475358 | − | 0.879792i | \(-0.657682\pi\) |
−0.0764178 | + | 0.997076i | \(0.524348\pi\) | |||||||
\(114\) | 8.02321 | + | 2.57544i | 0.751442 | + | 0.241212i | ||||
\(115\) | 5.80025 | + | 5.31940i | 0.540876 | + | 0.496037i | ||||
\(116\) | −0.956533 | + | 2.94391i | −0.0888119 | + | 0.273335i | ||||
\(117\) | 5.60727 | − | 17.6837i | 0.518392 | − | 1.63486i | ||||
\(118\) | 24.0833 | 2.21705 | ||||||||
\(119\) | −22.6919 | + | 10.1031i | −2.08016 | + | 0.926146i | ||||
\(120\) | −0.502528 | + | 4.53697i | −0.0458743 | + | 0.414167i | ||||
\(121\) | −9.30032 | − | 4.14077i | −0.845483 | − | 0.376433i | ||||
\(122\) | −23.6612 | − | 10.5346i | −2.14218 | − | 0.953761i | ||||
\(123\) | −7.76017 | + | 7.03734i | −0.699711 | + | 0.634535i | ||||
\(124\) | 1.58576 | − | 2.74662i | 0.142406 | − | 0.246654i | ||||
\(125\) | 0.306650 | − | 11.1761i | 0.0274276 | − | 0.999624i | ||||
\(126\) | 7.49494 | + | 22.5217i | 0.667703 | + | 2.00639i | ||||
\(127\) | −3.86196 | − | 11.8859i | −0.342694 | − | 1.05470i | −0.962807 | − | 0.270190i | \(-0.912913\pi\) |
0.620113 | − | 0.784512i | \(-0.287087\pi\) | |||||||
\(128\) | 0.934599 | + | 8.89212i | 0.0826077 | + | 0.785959i | ||||
\(129\) | −0.0142676 | − | 4.01872i | −0.00125620 | − | 0.353829i | ||||
\(130\) | −0.231639 | + | 25.3325i | −0.0203161 | + | 2.22181i | ||||
\(131\) | −0.542859 | + | 5.16496i | −0.0474298 | + | 0.451265i | 0.944874 | + | 0.327435i | \(0.106184\pi\) |
−0.992303 | + | 0.123830i | \(0.960482\pi\) | |||||||
\(132\) | −2.11642 | − | 0.214851i | −0.184211 | − | 0.0187004i | ||||
\(133\) | 10.4758 | − | 4.66413i | 0.908367 | − | 0.404431i | ||||
\(134\) | −4.31342 | + | 13.2753i | −0.372622 | + | 1.14681i | ||||
\(135\) | −11.6189 | + | 0.0175116i | −0.999999 | + | 0.00150716i | ||||
\(136\) | −2.09488 | − | 6.44739i | −0.179635 | − | 0.552859i | ||||
\(137\) | 6.78844 | + | 7.53933i | 0.579976 | + | 0.644128i | 0.959718 | − | 0.280964i | \(-0.0906542\pi\) |
−0.379743 | + | 0.925092i | \(0.623987\pi\) | |||||||
\(138\) | −4.50658 | + | 10.2194i | −0.383626 | + | 0.869936i | ||||
\(139\) | −2.28718 | + | 2.54017i | −0.193996 | + | 0.215455i | −0.832293 | − | 0.554336i | \(-0.812972\pi\) |
0.638297 | + | 0.769790i | \(0.279639\pi\) | |||||||
\(140\) | −7.60327 | − | 10.6688i | −0.642593 | − | 0.901678i | ||||
\(141\) | 5.70870 | + | 7.79897i | 0.480759 | + | 0.656792i | ||||
\(142\) | −8.71118 | + | 3.87847i | −0.731026 | + | 0.325474i | ||||
\(143\) | 5.59808 | 0.468135 | ||||||||
\(144\) | −14.2769 | + | 3.14077i | −1.18974 | + | 0.261730i | ||||
\(145\) | −5.07845 | + | 0.486862i | −0.421742 | + | 0.0404317i | ||||
\(146\) | 0.0161531 | + | 0.153686i | 0.00133684 | + | 0.0127192i | ||||
\(147\) | 17.5096 | + | 10.0264i | 1.44416 | + | 0.826966i | ||||
\(148\) | −2.07056 | + | 2.29959i | −0.170199 | + | 0.189025i | ||||
\(149\) | −7.01283 | − | 12.1466i | −0.574514 | − | 0.995087i | −0.996094 | − | 0.0882960i | \(-0.971858\pi\) |
0.421581 | − | 0.906791i | \(-0.361475\pi\) | |||||||
\(150\) | 15.1608 | − | 4.68018i | 1.23787 | − | 0.382135i | ||||
\(151\) | −0.171017 | + | 0.296210i | −0.0139171 | + | 0.0241052i | −0.872900 | − | 0.487899i | \(-0.837763\pi\) |
0.858983 | + | 0.512004i | \(0.171097\pi\) | |||||||
\(152\) | 0.967113 | + | 2.97647i | 0.0784432 | + | 0.241423i | ||||
\(153\) | 15.7136 | − | 7.13025i | 1.27037 | − | 0.576446i | ||||
\(154\) | −5.79467 | + | 4.21007i | −0.466948 | + | 0.339257i | ||||
\(155\) | 5.19334 | + | 0.593901i | 0.417139 | + | 0.0477032i | ||||
\(156\) | −13.8039 | + | 4.53941i | −1.10520 | + | 0.363444i | ||||
\(157\) | 6.47430 | + | 11.2138i | 0.516705 | + | 0.894959i | 0.999812 | + | 0.0193980i | \(0.00617496\pi\) |
−0.483107 | + | 0.875561i | \(0.660492\pi\) | |||||||
\(158\) | −0.170888 | + | 1.62589i | −0.0135951 | + | 0.129349i | ||||
\(159\) | −3.02739 | + | 6.86513i | −0.240088 | + | 0.544440i | ||||
\(160\) | 12.7900 | − | 7.22921i | 1.01114 | − | 0.571519i | ||||
\(161\) | 4.69688 | + | 14.4555i | 0.370166 | + | 1.13925i | ||||
\(162\) | −5.31762 | − | 15.6082i | −0.417792 | − | 1.22630i | ||||
\(163\) | 0.350556 | − | 1.07890i | 0.0274577 | − | 0.0845060i | −0.936389 | − | 0.350965i | \(-0.885854\pi\) |
0.963846 | + | 0.266459i | \(0.0858536\pi\) | |||||||
\(164\) | 8.02638 | + | 1.70606i | 0.626755 | + | 0.133221i | ||||
\(165\) | −1.06479 | − | 3.34055i | −0.0828937 | − | 0.260061i | ||||
\(166\) | 1.86656 | − | 0.396749i | 0.144873 | − | 0.0307937i | ||||
\(167\) | 0.115945 | − | 1.10314i | 0.00897209 | − | 0.0853638i | −0.989120 | − | 0.147114i | \(-0.953002\pi\) |
0.998092 | + | 0.0617503i | \(0.0196682\pi\) | |||||||
\(168\) | −5.15642 | + | 7.15045i | −0.397826 | + | 0.551669i | ||||
\(169\) | 23.0572 | − | 10.2657i | 1.77363 | − | 0.789672i | ||||
\(170\) | −17.6550 | + | 15.6067i | −1.35407 | + | 1.19698i | ||||
\(171\) | −7.25424 | + | 3.29171i | −0.554746 | + | 0.251724i | ||||
\(172\) | −2.54667 | + | 1.85026i | −0.194182 | + | 0.141081i | ||||
\(173\) | 4.81060 | + | 1.02253i | 0.365743 | + | 0.0777411i | 0.387117 | − | 0.922030i | \(-0.373471\pi\) |
−0.0213741 | + | 0.999772i | \(0.506804\pi\) | |||||||
\(174\) | −2.96831 | − | 6.60375i | −0.225027 | − | 0.500629i | ||||
\(175\) | 11.1363 | − | 18.4990i | 0.841828 | − | 1.39839i | ||||
\(176\) | −2.20561 | − | 3.82023i | −0.166254 | − | 0.287961i | ||||
\(177\) | −16.8655 | + | 15.2946i | −1.26769 | + | 1.14961i | ||||
\(178\) | 1.14379 | + | 10.8824i | 0.0857306 | + | 0.815672i | ||||
\(179\) | −1.61240 | + | 1.17148i | −0.120516 | + | 0.0875602i | −0.646411 | − | 0.762990i | \(-0.723731\pi\) |
0.525894 | + | 0.850550i | \(0.323731\pi\) | |||||||
\(180\) | 5.33440 | + | 7.37381i | 0.397603 | + | 0.549611i | ||||
\(181\) | 7.03514 | + | 5.11133i | 0.522918 | + | 0.379922i | 0.817702 | − | 0.575642i | \(-0.195248\pi\) |
−0.294784 | + | 0.955564i | \(0.595248\pi\) | |||||||
\(182\) | −24.4631 | + | 42.3714i | −1.81333 | + | 3.14077i | ||||
\(183\) | 23.2602 | − | 7.64909i | 1.71944 | − | 0.565437i | ||||
\(184\) | −4.05760 | + | 0.862470i | −0.299130 | + | 0.0635821i | ||||
\(185\) | −4.83585 | − | 1.62029i | −0.355539 | − | 0.119126i | ||||
\(186\) | 1.56809 | + | 7.25060i | 0.114978 | + | 0.531640i | ||||
\(187\) | 3.48421 | + | 3.86961i | 0.254791 | + | 0.282974i | ||||
\(188\) | 2.33943 | − | 7.20003i | 0.170621 | − | 0.525116i | ||||
\(189\) | −19.5515 | − | 11.0121i | −1.42217 | − | 0.801014i | ||||
\(190\) | 8.15050 | − | 7.20490i | 0.591300 | − | 0.522698i | ||||
\(191\) | −15.0567 | − | 16.7221i | −1.08946 | − | 1.20997i | −0.976307 | − | 0.216392i | \(-0.930571\pi\) |
−0.113154 | − | 0.993577i | \(-0.536095\pi\) | |||||||
\(192\) | 2.95982 | + | 2.64606i | 0.213606 | + | 0.190963i | ||||
\(193\) | −5.49895 | − | 9.52446i | −0.395823 | − | 0.685586i | 0.597383 | − | 0.801956i | \(-0.296207\pi\) |
−0.993206 | + | 0.116371i | \(0.962874\pi\) | |||||||
\(194\) | −0.314022 | + | 2.98772i | −0.0225455 | + | 0.214506i | ||||
\(195\) | −15.9257 | − | 17.8875i | −1.14046 | − | 1.28095i | ||||
\(196\) | −1.65203 | − | 15.7180i | −0.118002 | − | 1.12271i | ||||
\(197\) | −4.79140 | + | 3.48116i | −0.341373 | + | 0.248022i | −0.745241 | − | 0.666795i | \(-0.767666\pi\) |
0.403868 | + | 0.914817i | \(0.367666\pi\) | |||||||
\(198\) | 4.00463 | − | 2.95320i | 0.284596 | − | 0.209875i | ||||
\(199\) | 8.53871 | 0.605293 | 0.302646 | − | 0.953103i | \(-0.402130\pi\) | ||||
0.302646 | + | 0.953103i | \(0.402130\pi\) | |||||||
\(200\) | 4.70342 | + | 3.55044i | 0.332582 | + | 0.251054i | ||||
\(201\) | −5.41007 | − | 12.0360i | −0.381597 | − | 0.848957i | ||||
\(202\) | 9.62008 | − | 10.6842i | 0.676866 | − | 0.751736i | ||||
\(203\) | −9.00106 | − | 4.00753i | −0.631751 | − | 0.281273i | ||||
\(204\) | −11.7293 | − | 6.71650i | −0.821215 | − | 0.470249i | ||||
\(205\) | 2.69079 | + | 13.2539i | 0.187933 | + | 0.925695i | ||||
\(206\) | −18.5036 | − | 13.4437i | −1.28921 | − | 0.936664i | ||||
\(207\) | −3.33410 | − | 10.0187i | −0.231736 | − | 0.696346i | ||||
\(208\) | −24.3774 | − | 17.7112i | −1.69027 | − | 1.22805i | ||||
\(209\) | −1.60850 | − | 1.78642i | −0.111262 | − | 0.123569i | ||||
\(210\) | 29.9374 | + | 6.53861i | 2.06587 | + | 0.451207i | ||||
\(211\) | 17.9544 | − | 19.9404i | 1.23603 | − | 1.37275i | 0.333147 | − | 0.942875i | \(-0.391889\pi\) |
0.902886 | − | 0.429880i | \(-0.141444\pi\) | |||||||
\(212\) | 5.74862 | − | 1.22191i | 0.394817 | − | 0.0839209i | ||||
\(213\) | 3.63735 | − | 8.24830i | 0.249227 | − | 0.565164i | ||||
\(214\) | 11.0905 | + | 2.35736i | 0.758133 | + | 0.161146i | ||||
\(215\) | −4.46919 | − | 2.63506i | −0.304796 | − | 0.179710i | ||||
\(216\) | 3.54675 | − | 4.99265i | 0.241326 | − | 0.339707i | ||||
\(217\) | 8.16717 | + | 5.93380i | 0.554424 | + | 0.402812i | ||||
\(218\) | 15.8826 | − | 27.5094i | 1.07570 | − | 1.86317i | ||||
\(219\) | −0.108913 | − | 0.0973682i | −0.00735969 | − | 0.00657953i | ||||
\(220\) | −1.63450 | + | 2.20698i | −0.110198 | + | 0.148795i | ||||
\(221\) | 32.4933 | + | 14.4670i | 2.18574 | + | 0.973153i | ||||
\(222\) | −0.0256963 | − | 7.23779i | −0.00172462 | − | 0.485769i | ||||
\(223\) | −14.4912 | − | 3.08021i | −0.970405 | − | 0.206266i | −0.304673 | − | 0.952457i | \(-0.598547\pi\) |
−0.665732 | + | 0.746191i | \(0.731880\pi\) | |||||||
\(224\) | 28.3738 | 1.89580 | ||||||||
\(225\) | −7.64485 | + | 12.9057i | −0.509657 | + | 0.860378i | ||||
\(226\) | −10.9864 | −0.730802 | ||||||||
\(227\) | 12.1197 | + | 2.57611i | 0.804410 | + | 0.170983i | 0.591727 | − | 0.806139i | \(-0.298446\pi\) |
0.212683 | + | 0.977121i | \(0.431780\pi\) | |||||||
\(228\) | 5.41488 | + | 3.10070i | 0.358609 | + | 0.205349i | ||||
\(229\) | 14.4497 | + | 6.43344i | 0.954866 | + | 0.425134i | 0.824204 | − | 0.566293i | \(-0.191623\pi\) |
0.130662 | + | 0.991427i | \(0.458290\pi\) | |||||||
\(230\) | 8.36832 | + | 11.7423i | 0.551790 | + | 0.774264i | ||||
\(231\) | 1.38432 | − | 6.62833i | 0.0910815 | − | 0.436112i | ||||
\(232\) | 1.34453 | − | 2.32880i | 0.0882729 | − | 0.152893i | ||||
\(233\) | −10.4851 | − | 7.61788i | −0.686903 | − | 0.499064i | 0.188738 | − | 0.982028i | \(-0.439560\pi\) |
−0.875640 | + | 0.482964i | \(0.839560\pi\) | |||||||
\(234\) | 16.7848 | − | 29.5549i | 1.09726 | − | 1.93206i | ||||
\(235\) | 12.4206 | − | 1.19074i | 0.810229 | − | 0.0776752i | ||||
\(236\) | 17.4441 | + | 3.70786i | 1.13551 | + | 0.241361i | ||||
\(237\) | −0.912882 | − | 1.24714i | −0.0592980 | − | 0.0810104i | ||||
\(238\) | −44.5144 | + | 9.46183i | −2.88544 | + | 0.613319i | ||||
\(239\) | −3.26308 | + | 3.62401i | −0.211071 | + | 0.234418i | −0.839379 | − | 0.543547i | \(-0.817081\pi\) |
0.628308 | + | 0.777965i | \(0.283748\pi\) | |||||||
\(240\) | −5.93211 | + | 17.9156i | −0.382916 | + | 1.15644i | ||||
\(241\) | −1.72108 | − | 1.91145i | −0.110865 | − | 0.123128i | 0.685158 | − | 0.728394i | \(-0.259733\pi\) |
−0.796023 | + | 0.605267i | \(0.793066\pi\) | |||||||
\(242\) | −15.0897 | − | 10.9633i | −0.970005 | − | 0.704750i | ||||
\(243\) | 13.6362 | + | 7.55337i | 0.874764 | + | 0.484549i | ||||
\(244\) | −15.5164 | − | 11.2734i | −0.993338 | − | 0.721702i | ||||
\(245\) | 22.6768 | − | 12.8174i | 1.44877 | − | 0.818876i | ||||
\(246\) | −16.5876 | + | 9.65556i | −1.05759 | + | 0.615616i | ||||
\(247\) | −15.0007 | − | 6.67874i | −0.954472 | − | 0.424958i | ||||
\(248\) | −1.84358 | + | 2.04751i | −0.117068 | + | 0.130017i | ||||
\(249\) | −1.05519 | + | 1.46324i | −0.0668698 | + | 0.0927289i | ||||
\(250\) | 4.80677 | − | 19.9119i | 0.304007 | − | 1.25934i | ||||
\(251\) | 12.4805 | 0.787764 | 0.393882 | − | 0.919161i | \(-0.371132\pi\) | ||||
0.393882 | + | 0.919161i | \(0.371132\pi\) | |||||||
\(252\) | 1.96133 | + | 17.4669i | 0.123552 | + | 1.10031i | ||||
\(253\) | 2.57774 | − | 1.87283i | 0.162061 | − | 0.117744i | ||||
\(254\) | −2.39341 | − | 22.7717i | −0.150176 | − | 1.42883i | ||||
\(255\) | 2.45246 | − | 22.1415i | 0.153579 | − | 1.38655i | ||||
\(256\) | −2.19150 | + | 20.8508i | −0.136969 | + | 1.30317i | ||||
\(257\) | −6.11612 | − | 10.5934i | −0.381513 | − | 0.660800i | 0.609766 | − | 0.792582i | \(-0.291263\pi\) |
−0.991279 | + | 0.131782i | \(0.957930\pi\) | |||||||
\(258\) | 1.50525 | − | 7.20736i | 0.0937126 | − | 0.448711i | ||||
\(259\) | −6.59072 | − | 7.31974i | −0.409528 | − | 0.454826i | ||||
\(260\) | −4.06797 | + | 18.3133i | −0.252285 | + | 1.13574i | ||||
\(261\) | 6.27255 | + | 2.73952i | 0.388261 | + | 0.169572i | ||||
\(262\) | −2.94030 | + | 9.04931i | −0.181652 | + | 0.559068i | ||||
\(263\) | −7.37723 | − | 8.19324i | −0.454899 | − | 0.505217i | 0.471445 | − | 0.881896i | \(-0.343733\pi\) |
−0.926344 | + | 0.376679i | \(0.877066\pi\) | |||||||
\(264\) | 1.75961 | + | 0.564834i | 0.108297 | + | 0.0347631i | ||||
\(265\) | 5.62160 | + | 7.88814i | 0.345332 | + | 0.484565i | ||||
\(266\) | 20.5503 | − | 4.36810i | 1.26002 | − | 0.267825i | ||||
\(267\) | −7.71209 | − | 6.89458i | −0.471972 | − | 0.421941i | ||||
\(268\) | −5.16817 | + | 8.95154i | −0.315696 | + | 0.546802i | ||||
\(269\) | 5.11244 | + | 3.71441i | 0.311711 | + | 0.226471i | 0.732630 | − | 0.680627i | \(-0.238292\pi\) |
−0.420919 | + | 0.907098i | \(0.638292\pi\) | |||||||
\(270\) | −20.8289 | − | 4.39452i | −1.26761 | − | 0.267442i | ||||
\(271\) | −4.89989 | + | 3.55998i | −0.297647 | + | 0.216253i | −0.726578 | − | 0.687084i | \(-0.758890\pi\) |
0.428931 | + | 0.903337i | \(0.358890\pi\) | |||||||
\(272\) | −2.92967 | − | 27.8740i | −0.177638 | − | 1.69011i | ||||
\(273\) | −9.77724 | − | 45.2085i | −0.591745 | − | 2.73614i | ||||
\(274\) | 9.29363 | + | 16.0970i | 0.561449 | + | 0.972458i | ||||
\(275\) | −4.40955 | − | 1.02190i | −0.265906 | − | 0.0616228i | ||||
\(276\) | −4.83761 | + | 6.70835i | −0.291190 | + | 0.403795i | ||||
\(277\) | −29.1797 | − | 6.20233i | −1.75324 | − | 0.372662i | −0.784380 | − | 0.620281i | \(-0.787019\pi\) |
−0.968858 | + | 0.247618i | \(0.920352\pi\) | |||||||
\(278\) | −5.06645 | + | 3.68099i | −0.303865 | + | 0.220771i | ||||
\(279\) | −5.70277 | − | 4.08176i | −0.341416 | − | 0.244368i | ||||
\(280\) | 4.53385 | + | 10.4390i | 0.270949 | + | 0.623852i | ||||
\(281\) | −20.3693 | + | 9.06901i | −1.21513 | + | 0.541011i | −0.911311 | − | 0.411718i | \(-0.864929\pi\) |
−0.303820 | + | 0.952729i | \(0.598262\pi\) | |||||||
\(282\) | 7.25973 | + | 16.1511i | 0.432311 | + | 0.961781i | ||||
\(283\) | −2.65206 | + | 25.2327i | −0.157649 | + | 1.49993i | 0.574342 | + | 0.818615i | \(0.305258\pi\) |
−0.731991 | + | 0.681314i | \(0.761409\pi\) | |||||||
\(284\) | −6.90684 | + | 1.46809i | −0.409846 | + | 0.0871154i | ||||
\(285\) | −1.13219 | + | 10.2217i | −0.0670650 | + | 0.605483i | ||||
\(286\) | 10.0323 | + | 2.13243i | 0.593221 | + | 0.126093i | ||||
\(287\) | −8.07130 | + | 24.8409i | −0.476434 | + | 1.46631i | ||||
\(288\) | −19.7105 | + | 0.139958i | −1.16145 | + | 0.00824709i | ||||
\(289\) | 4.97024 | + | 15.2968i | 0.292367 | + | 0.899814i | ||||
\(290\) | −9.28652 | − | 1.06199i | −0.545323 | − | 0.0623621i | ||||
\(291\) | −1.67750 | − | 2.29173i | −0.0983368 | − | 0.134343i | ||||
\(292\) | −0.0119614 | + | 0.113805i | −0.000699990 | + | 0.00665996i | ||||
\(293\) | 8.32257 | + | 14.4151i | 0.486210 | + | 0.842140i | 0.999874 | − | 0.0158509i | \(-0.00504570\pi\) |
−0.513664 | + | 0.857991i | \(0.671712\pi\) | |||||||
\(294\) | 27.5595 | + | 24.6381i | 1.60730 | + | 1.43692i | ||||
\(295\) | 5.84802 | + | 28.8054i | 0.340485 | + | 1.67712i | ||||
\(296\) | 2.17479 | − | 1.58008i | 0.126407 | − | 0.0918402i | ||||
\(297\) | −0.928952 | + | 4.61135i | −0.0539033 | + | 0.267577i | ||||
\(298\) | −7.94076 | − | 24.4392i | −0.459996 | − | 1.41572i | ||||
\(299\) | 10.8823 | − | 18.8487i | 0.629341 | − | 1.09005i | ||||
\(300\) | 11.7019 | − | 1.05582i | 0.675607 | − | 0.0609575i | ||||
\(301\) | −5.00992 | − | 8.67743i | −0.288767 | − | 0.500159i | ||||
\(302\) | −0.419311 | + | 0.465692i | −0.0241286 | + | 0.0267976i | ||||
\(303\) | 0.0482540 | + | 13.5916i | 0.00277212 | + | 0.780814i | ||||
\(304\) | 1.35250 | + | 12.8682i | 0.0775711 | + | 0.738039i | ||||
\(305\) | 6.85469 | − | 30.8586i | 0.392498 | − | 1.76696i | ||||
\(306\) | 30.8762 | − | 6.79244i | 1.76508 | − | 0.388298i | ||||
\(307\) | −0.293679 | −0.0167612 | −0.00838058 | − | 0.999965i | \(-0.502668\pi\) | ||||
−0.00838058 | + | 0.999965i | \(0.502668\pi\) | |||||||
\(308\) | −4.84540 | + | 2.15731i | −0.276092 | + | 0.122924i | ||||
\(309\) | 21.4957 | − | 2.33648i | 1.22285 | − | 0.132918i | ||||
\(310\) | 9.08073 | + | 3.04258i | 0.515751 | + | 0.172807i | ||||
\(311\) | −13.4709 | + | 14.9609i | −0.763863 | + | 0.848356i | −0.992126 | − | 0.125244i | \(-0.960029\pi\) |
0.228263 | + | 0.973600i | \(0.426695\pi\) | |||||||
\(312\) | 12.5497 | − | 1.36409i | 0.710487 | − | 0.0772264i | ||||
\(313\) | 4.38459 | + | 4.86958i | 0.247831 | + | 0.275245i | 0.854206 | − | 0.519934i | \(-0.174044\pi\) |
−0.606375 | + | 0.795179i | \(0.707377\pi\) | |||||||
\(314\) | 7.33097 | + | 22.5624i | 0.413710 | + | 1.27327i | ||||
\(315\) | −25.1176 | + | 14.4333i | −1.41522 | + | 0.813226i | ||||
\(316\) | −0.374100 | + | 1.15136i | −0.0210448 | + | 0.0647692i | ||||
\(317\) | −22.0238 | + | 9.80565i | −1.23698 | + | 0.550740i | −0.917834 | − | 0.396965i | \(-0.870064\pi\) |
−0.319148 | + | 0.947705i | \(0.603397\pi\) | |||||||
\(318\) | −8.04045 | + | 11.1498i | −0.450886 | + | 0.625247i | ||||
\(319\) | −0.215899 | + | 2.05415i | −0.0120880 | + | 0.115010i | ||||
\(320\) | 4.88888 | − | 1.53922i | 0.273296 | − | 0.0860448i | ||||
\(321\) | −9.26379 | + | 5.39239i | −0.517054 | + | 0.300974i | ||||
\(322\) | 2.91084 | + | 27.6948i | 0.162215 | + | 1.54337i | ||||
\(323\) | −4.71974 | − | 14.5259i | −0.262613 | − | 0.808241i | ||||
\(324\) | −1.44864 | − | 12.1241i | −0.0804801 | − | 0.673560i | ||||
\(325\) | −30.3558 | + | 5.87430i | −1.68384 | + | 0.325847i | ||||
\(326\) | 1.03921 | − | 1.79996i | 0.0575563 | − | 0.0996904i | ||||
\(327\) | 6.34783 | + | 29.3514i | 0.351036 | + | 1.62314i | ||||
\(328\) | −6.51222 | − | 2.89943i | −0.359577 | − | 0.160094i | ||||
\(329\) | 22.0143 | + | 9.80138i | 1.21369 | + | 0.540368i | ||||
\(330\) | −0.635717 | − | 6.39218i | −0.0349951 | − | 0.351878i | ||||
\(331\) | 15.5985 | − | 6.94489i | 0.857370 | − | 0.381726i | 0.0695107 | − | 0.997581i | \(-0.477856\pi\) |
0.787859 | + | 0.615856i | \(0.211190\pi\) | |||||||
\(332\) | 1.41307 | 0.0775525 | ||||||||
\(333\) | 4.61450 | + | 5.05231i | 0.252873 | + | 0.276865i | ||||
\(334\) | 0.627995 | − | 1.93277i | 0.0343624 | − | 0.105756i | ||||
\(335\) | −16.9257 | − | 1.93559i | −0.924749 | − | 0.105752i | ||||
\(336\) | −26.9989 | + | 24.4841i | −1.47291 | + | 1.33572i | ||||
\(337\) | −25.0244 | + | 5.31909i | −1.36316 | + | 0.289749i | −0.830708 | − | 0.556709i | \(-0.812064\pi\) |
−0.532455 | + | 0.846458i | \(0.678731\pi\) | |||||||
\(338\) | 45.2311 | − | 9.61418i | 2.46025 | − | 0.522942i | ||||
\(339\) | 7.69376 | − | 6.97711i | 0.417868 | − | 0.378945i | ||||
\(340\) | −15.1907 | + | 8.58613i | −0.823832 | + | 0.465648i | ||||
\(341\) | 0.653958 | − | 2.01268i | 0.0354138 | − | 0.108992i | ||||
\(342\) | −14.2542 | + | 3.13576i | −0.770777 | + | 0.169563i | ||||
\(343\) | 20.0776 | 1.08409 | ||||||||
\(344\) | 2.49821 | − | 1.11227i | 0.134694 | − | 0.0599698i | ||||
\(345\) | −13.3175 | − | 2.90867i | −0.716991 | − | 0.156598i | ||||
\(346\) | 8.23155 | + | 3.66492i | 0.442531 | + | 0.197027i | ||||
\(347\) | 24.1346 | + | 10.7454i | 1.29562 | + | 0.576845i | 0.934595 | − | 0.355713i | \(-0.115762\pi\) |
0.361020 | + | 0.932558i | \(0.382429\pi\) | |||||||
\(348\) | −1.13331 | − | 5.24025i | −0.0607518 | − | 0.280907i | ||||
\(349\) | 6.45615 | − | 11.1824i | 0.345590 | − | 0.598579i | −0.639871 | − | 0.768482i | \(-0.721012\pi\) |
0.985461 | + | 0.169903i | \(0.0543455\pi\) | |||||||
\(350\) | 27.0040 | − | 28.9099i | 1.44343 | − | 1.54530i | ||||
\(351\) | 7.01497 | + | 31.3568i | 0.374431 | + | 1.67370i | ||||
\(352\) | −1.83803 | − | 5.65689i | −0.0979675 | − | 0.301513i | ||||
\(353\) | −0.111211 | − | 1.05811i | −0.00591918 | − | 0.0563173i | 0.991164 | − | 0.132645i | \(-0.0423471\pi\) |
−0.997083 | + | 0.0763279i | \(0.975680\pi\) | |||||||
\(354\) | −36.0507 | + | 20.9849i | −1.91607 | + | 1.11533i | ||||
\(355\) | −6.75423 | − | 9.47743i | −0.358477 | − | 0.503010i | ||||
\(356\) | −0.846981 | + | 8.05849i | −0.0448899 | + | 0.427099i | ||||
\(357\) | 25.1645 | − | 34.8959i | 1.33185 | − | 1.84689i | ||||
\(358\) | −3.33581 | + | 1.48520i | −0.176303 | + | 0.0784952i | ||||
\(359\) | −1.89849 | + | 5.84296i | −0.100199 | + | 0.308380i | −0.988574 | − | 0.150739i | \(-0.951835\pi\) |
0.888375 | + | 0.459119i | \(0.151835\pi\) | |||||||
\(360\) | −3.20103 | − | 7.22934i | −0.168709 | − | 0.381020i | ||||
\(361\) | −3.69243 | − | 11.3641i | −0.194339 | − | 0.598112i | ||||
\(362\) | 10.6606 | + | 11.8398i | 0.560310 | + | 0.622287i | ||||
\(363\) | 17.5298 | − | 1.90541i | 0.920078 | − | 0.100008i | ||||
\(364\) | −24.2427 | + | 26.9242i | −1.27066 | + | 1.41121i | ||||
\(365\) | −0.179898 | + | 0.0566391i | −0.00941628 | + | 0.00296462i | ||||
\(366\) | 44.5981 | − | 4.84759i | 2.33118 | − | 0.253388i | ||||
\(367\) | −12.7762 | + | 5.68834i | −0.666913 | + | 0.296929i | −0.712129 | − | 0.702048i | \(-0.752269\pi\) |
0.0452161 | + | 0.998977i | \(0.485602\pi\) | |||||||
\(368\) | −17.1503 | −0.894022 | ||||||||
\(369\) | 5.48437 | − | 17.2961i | 0.285505 | − | 0.900399i | ||||
\(370\) | −8.04909 | − | 4.74580i | −0.418452 | − | 0.246722i | ||||
\(371\) | 1.95542 | + | 18.6046i | 0.101520 | + | 0.965901i | ||||
\(372\) | 0.0195025 | + | 5.49321i | 0.00101116 | + | 0.284809i | ||||
\(373\) | 0.999691 | − | 1.11027i | 0.0517620 | − | 0.0574876i | −0.716708 | − | 0.697374i | \(-0.754352\pi\) |
0.768470 | + | 0.639886i | \(0.221018\pi\) | |||||||
\(374\) | 4.77001 | + | 8.26191i | 0.246652 | + | 0.427213i | ||||
\(375\) | 9.27924 | + | 16.9969i | 0.479178 | + | 0.877718i | ||||
\(376\) | −3.28838 | + | 5.69564i | −0.169585 | + | 0.293730i | ||||
\(377\) | 4.35984 | + | 13.4182i | 0.224543 | + | 0.691072i | ||||
\(378\) | −30.8434 | − | 27.1824i | −1.58642 | − | 1.39811i | ||||
\(379\) | −0.536836 | + | 0.390034i | −0.0275754 | + | 0.0200347i | −0.601488 | − | 0.798882i | \(-0.705425\pi\) |
0.573912 | + | 0.818917i | \(0.305425\pi\) | |||||||
\(380\) | 7.01286 | − | 3.96383i | 0.359752 | − | 0.203340i | ||||
\(381\) | 16.1377 | + | 14.4271i | 0.826762 | + | 0.739122i | ||||
\(382\) | −20.6131 | − | 35.7030i | −1.05466 | − | 1.82672i | ||||
\(383\) | −2.20143 | + | 20.9452i | −0.112488 | + | 1.07025i | 0.782038 | + | 0.623231i | \(0.214180\pi\) |
−0.894525 | + | 0.447017i | \(0.852486\pi\) | |||||||
\(384\) | −9.14712 | − | 12.4964i | −0.466787 | − | 0.637704i | ||||
\(385\) | −6.44265 | − | 5.90854i | −0.328348 | − | 0.301127i | ||||
\(386\) | −6.22657 | − | 19.1634i | −0.316924 | − | 0.975391i | ||||
\(387\) | 3.52305 | + | 6.00326i | 0.179087 | + | 0.305163i | ||||
\(388\) | −0.687442 | + | 2.11573i | −0.0348996 | + | 0.107410i | ||||
\(389\) | 15.8778 | + | 3.37493i | 0.805037 | + | 0.171116i | 0.592010 | − | 0.805930i | \(-0.298334\pi\) |
0.213027 | + | 0.977046i | \(0.431668\pi\) | |||||||
\(390\) | −21.7266 | − | 38.1225i | −1.10017 | − | 1.93041i | ||||
\(391\) | 19.8021 | − | 4.20906i | 1.00143 | − | 0.212861i | ||||
\(392\) | −1.43516 | + | 13.6546i | −0.0724865 | + | 0.689663i | ||||
\(393\) | −3.68785 | − | 8.20453i | −0.186027 | − | 0.413864i | ||||
\(394\) | −9.91269 | + | 4.41342i | −0.499394 | + | 0.222345i | ||||
\(395\) | −1.98618 | + | 0.190412i | −0.0999357 | + | 0.00958065i | ||||
\(396\) | 3.35532 | − | 1.52252i | 0.168611 | − | 0.0765097i | ||||
\(397\) | −13.0288 | + | 9.46597i | −0.653896 | + | 0.475083i | −0.864596 | − | 0.502467i | \(-0.832426\pi\) |
0.210700 | + | 0.977551i | \(0.432426\pi\) | |||||||
\(398\) | 15.3022 | + | 3.25258i | 0.767028 | + | 0.163037i | ||||
\(399\) | −11.6173 | + | 16.1098i | −0.581594 | + | 0.806501i | ||||
\(400\) | 15.9688 | + | 18.4009i | 0.798438 | + | 0.920047i | ||||
\(401\) | −9.75500 | − | 16.8962i | −0.487142 | − | 0.843754i | 0.512749 | − | 0.858539i | \(-0.328627\pi\) |
−0.999891 | + | 0.0147845i | \(0.995294\pi\) | |||||||
\(402\) | −5.11057 | − | 23.6305i | −0.254892 | − | 1.17858i | ||||
\(403\) | −1.51103 | − | 14.3765i | −0.0752697 | − | 0.716143i | ||||
\(404\) | 8.61298 | − | 6.25770i | 0.428512 | − | 0.311332i | ||||
\(405\) | 17.3773 | − | 10.1503i | 0.863486 | − | 0.504373i | ||||
\(406\) | −14.6042 | − | 10.6106i | −0.724794 | − | 0.526594i | ||||
\(407\) | −1.03239 | + | 1.78816i | −0.0511739 | + | 0.0886358i | ||||
\(408\) | 8.75377 | + | 7.82583i | 0.433376 | + | 0.387436i | ||||
\(409\) | −16.6742 | + | 3.54421i | −0.824486 | + | 0.175250i | −0.600788 | − | 0.799409i | \(-0.705146\pi\) |
−0.223698 | + | 0.974658i | \(0.571813\pi\) | |||||||
\(410\) | −0.226562 | + | 24.7773i | −0.0111891 | + | 1.22366i | ||||
\(411\) | −16.7311 | − | 5.37066i | −0.825283 | − | 0.264915i | ||||
\(412\) | −11.3328 | − | 12.5864i | −0.558328 | − | 0.620086i | ||||
\(413\) | −17.5417 | + | 53.9879i | −0.863172 | + | 2.65657i | ||||
\(414\) | −2.15869 | − | 19.2244i | −0.106094 | − | 0.944829i | ||||
\(415\) | 0.927787 | + | 2.13620i | 0.0455433 | + | 0.104862i | ||||
\(416\) | −27.1865 | − | 30.1936i | −1.33293 | − | 1.48036i | ||||
\(417\) | 1.21035 | − | 5.79535i | 0.0592711 | − | 0.283799i | ||||
\(418\) | −2.20210 | − | 3.81415i | −0.107708 | − | 0.186556i | ||||
\(419\) | 3.25123 | − | 30.9334i | 0.158833 | − | 1.51120i | −0.567226 | − | 0.823562i | \(-0.691983\pi\) |
0.726059 | − | 0.687633i | \(-0.241350\pi\) | |||||||
\(420\) | 20.6777 | + | 9.34522i | 1.00897 | + | 0.456000i | ||||
\(421\) | 2.73836 | + | 26.0537i | 0.133459 | + | 1.26978i | 0.832228 | + | 0.554433i | \(0.187065\pi\) |
−0.698769 | + | 0.715347i | \(0.746268\pi\) | |||||||
\(422\) | 39.7717 | − | 28.8959i | 1.93606 | − | 1.40663i | ||||
\(423\) | −15.3410 | − | 6.70016i | −0.745907 | − | 0.325773i | ||||
\(424\) | −5.10556 | −0.247948 | ||||||||
\(425\) | −22.9538 | − | 17.3270i | −1.11342 | − | 0.840481i | ||||
\(426\) | 9.66042 | − | 13.3962i | 0.468049 | − | 0.649048i | ||||
\(427\) | 40.8499 | − | 45.3684i | 1.97687 | − | 2.19553i | ||||
\(428\) | 7.67019 | + | 3.41499i | 0.370753 | + | 0.165070i | ||||
\(429\) | −8.37985 | + | 4.87786i | −0.404583 | + | 0.235505i | ||||
\(430\) | −7.00545 | − | 6.42469i | −0.337833 | − | 0.309826i | ||||
\(431\) | 25.1191 | + | 18.2501i | 1.20995 | + | 0.879078i | 0.995226 | − | 0.0975980i | \(-0.0311159\pi\) |
0.214721 | + | 0.976676i | \(0.431116\pi\) | |||||||
\(432\) | 18.6346 | − | 17.1416i | 0.896559 | − | 0.824724i | ||||
\(433\) | 21.1261 | + | 15.3490i | 1.01526 | + | 0.737628i | 0.965305 | − | 0.261124i | \(-0.0840931\pi\) |
0.0499521 | + | 0.998752i | \(0.484093\pi\) | |||||||
\(434\) | 12.3760 | + | 13.7450i | 0.594068 | + | 0.659780i | ||||
\(435\) | 7.17779 | − | 5.15388i | 0.344149 | − | 0.247109i | ||||
\(436\) | 15.7395 | − | 17.4804i | 0.753784 | − | 0.837161i | ||||
\(437\) | −9.14171 | + | 1.94313i | −0.437308 | + | 0.0929526i | ||||
\(438\) | −0.158094 | − | 0.215980i | −0.00755400 | − | 0.0103199i | ||||
\(439\) | −8.52536 | − | 1.81212i | −0.406893 | − | 0.0864878i | −8.17896e−5 | − | 1.00000i | \(-0.500026\pi\) |
−0.406811 | + | 0.913512i | \(0.633359\pi\) | |||||||
\(440\) | 1.78753 | − | 1.58015i | 0.0852172 | − | 0.0753305i | ||||
\(441\) | −34.9468 | + | 0.248146i | −1.66413 | + | 0.0118165i | ||||
\(442\) | 52.7203 | + | 38.3036i | 2.50765 | + | 1.82191i | ||||
\(443\) | −9.84019 | + | 17.0437i | −0.467521 | + | 0.809771i | −0.999311 | − | 0.0371056i | \(-0.988186\pi\) |
0.531790 | + | 0.846876i | \(0.321520\pi\) | |||||||
\(444\) | 1.09572 | − | 5.24646i | 0.0520004 | − | 0.248986i | ||||
\(445\) | −12.7384 | + | 4.01058i | −0.603860 | + | 0.190120i | ||||
\(446\) | −24.7963 | − | 11.0400i | −1.17414 | − | 0.522761i | ||||
\(447\) | 21.0815 | + | 12.0718i | 0.997120 | + | 0.570977i | ||||
\(448\) | 9.68239 | + | 2.05805i | 0.457450 | + | 0.0972340i | ||||
\(449\) | −4.17634 | −0.197094 | −0.0985469 | − | 0.995132i | \(-0.531419\pi\) | ||||
−0.0985469 | + | 0.995132i | \(0.531419\pi\) | |||||||
\(450\) | −18.6163 | + | 20.2161i | −0.877582 | + | 0.952996i | ||||
\(451\) | 5.47538 | 0.257826 | ||||||||
\(452\) | −7.95769 | − | 1.69146i | −0.374298 | − | 0.0795595i | ||||
\(453\) | −0.00210325 | − | 0.592416i | −9.88193e−5 | − | 0.0278341i | ||||
\(454\) | 20.7383 | + | 9.23327i | 0.973295 | + | 0.433339i | ||||
\(455\) | −56.6195 | − | 18.9709i | −2.65436 | − | 0.889369i | ||||
\(456\) | −4.04122 | − | 3.61283i | −0.189247 | − | 0.169186i | ||||
\(457\) | 7.74545 | − | 13.4155i | 0.362317 | − | 0.627551i | −0.626025 | − | 0.779803i | \(-0.715319\pi\) |
0.988342 | + | 0.152252i | \(0.0486525\pi\) | |||||||
\(458\) | 23.4447 | + | 17.0335i | 1.09550 | + | 0.795925i | ||||
\(459\) | −17.3090 | + | 24.3653i | −0.807914 | + | 1.13728i | ||||
\(460\) | 4.25353 | + | 9.79361i | 0.198322 | + | 0.456629i | ||||
\(461\) | −2.23166 | − | 0.474353i | −0.103939 | − | 0.0220928i | 0.155649 | − | 0.987812i | \(-0.450253\pi\) |
−0.259587 | + | 0.965720i | \(0.583587\pi\) | |||||||
\(462\) | 5.00570 | − | 11.3513i | 0.232886 | − | 0.528109i | ||||
\(463\) | 14.6799 | − | 3.12031i | 0.682233 | − | 0.145013i | 0.146257 | − | 0.989247i | \(-0.453277\pi\) |
0.535975 | + | 0.844234i | \(0.319944\pi\) | |||||||
\(464\) | 7.43908 | − | 8.26193i | 0.345351 | − | 0.383551i | ||||
\(465\) | −8.29149 | + | 3.63618i | −0.384509 | + | 0.168624i | ||||
\(466\) | −15.8885 | − | 17.6460i | −0.736020 | − | 0.817434i | ||||
\(467\) | −4.68683 | − | 3.40518i | −0.216881 | − | 0.157573i | 0.474041 | − | 0.880503i | \(-0.342795\pi\) |
−0.690921 | + | 0.722930i | \(0.742795\pi\) | |||||||
\(468\) | 16.7079 | − | 18.8231i | 0.772323 | − | 0.870098i | ||||
\(469\) | −26.6177 | − | 19.3389i | −1.22909 | − | 0.892987i | ||||
\(470\) | 22.7124 | + | 2.59735i | 1.04765 | + | 0.119807i | ||||
\(471\) | −19.4626 | − | 11.1448i | −0.896788 | − | 0.513524i | ||||
\(472\) | −14.1533 | − | 6.30146i | −0.651459 | − | 0.290048i | ||||
\(473\) | −1.40548 | + | 1.56094i | −0.0646241 | + | 0.0717723i | ||||
\(474\) | −1.16091 | − | 2.58273i | −0.0533223 | − | 0.118629i | ||||
\(475\) | 10.5967 | + | 7.99908i | 0.486212 | + | 0.367023i | ||||
\(476\) | −33.6996 | −1.54462 | ||||||||
\(477\) | −1.45014 | − | 12.9144i | −0.0663975 | − | 0.591311i | ||||
\(478\) | −7.22820 | + | 5.25160i | −0.330610 | + | 0.240202i | ||||
\(479\) | −2.08812 | − | 19.8671i | −0.0954087 | − | 0.907753i | −0.932617 | − | 0.360868i | \(-0.882480\pi\) |
0.837208 | − | 0.546884i | \(-0.184186\pi\) | |||||||
\(480\) | −12.8465 | + | 21.9660i | −0.586358 | + | 1.00261i | ||||
\(481\) | −1.47428 | + | 14.0269i | −0.0672215 | + | 0.639570i | ||||
\(482\) | −2.35623 | − | 4.08110i | −0.107323 | − | 0.185889i | ||||
\(483\) | −19.6266 | − | 17.5461i | −0.893040 | − | 0.798374i | ||||
\(484\) | −9.24194 | − | 10.2642i | −0.420088 | − | 0.466555i | ||||
\(485\) | −3.64979 | + | 0.349898i | −0.165728 | + | 0.0158881i | ||||
\(486\) | 21.5602 | + | 18.7307i | 0.977989 | + | 0.849641i | ||||
\(487\) | 9.06469 | − | 27.8982i | 0.410760 | − | 1.26419i | −0.505228 | − | 0.862986i | \(-0.668592\pi\) |
0.915988 | − | 0.401205i | \(-0.131408\pi\) | |||||||
\(488\) | 11.1488 | + | 12.3820i | 0.504683 | + | 0.560508i | ||||
\(489\) | 0.415342 | + | 1.92048i | 0.0187824 | + | 0.0868471i | ||||
\(490\) | 45.5214 | − | 14.3320i | 2.05645 | − | 0.647452i | ||||
\(491\) | 7.85649 | − | 1.66995i | 0.354558 | − | 0.0753637i | −0.0271892 | − | 0.999630i | \(-0.508656\pi\) |
0.381748 | + | 0.924267i | \(0.375322\pi\) | |||||||
\(492\) | −13.5014 | + | 4.43992i | −0.608689 | + | 0.200167i | ||||
\(493\) | −6.56164 | + | 11.3651i | −0.295521 | + | 0.511858i | ||||
\(494\) | −24.3386 | − | 17.6830i | −1.09505 | − | 0.795597i | ||||
\(495\) | 4.50467 | + | 4.07272i | 0.202470 | + | 0.183055i | ||||
\(496\) | −9.21545 | + | 6.69541i | −0.413786 | + | 0.300633i | ||||
\(497\) | −2.34939 | − | 22.3530i | −0.105385 | − | 1.00267i | ||||
\(498\) | −2.44837 | + | 2.22032i | −0.109714 | + | 0.0994947i | ||||
\(499\) | 14.0871 | + | 24.3995i | 0.630623 | + | 1.09227i | 0.987425 | + | 0.158091i | \(0.0505339\pi\) |
−0.356801 | + | 0.934180i | \(0.616133\pi\) | |||||||
\(500\) | 6.54729 | − | 13.6826i | 0.292804 | − | 0.611904i | ||||
\(501\) | 0.787659 | + | 1.75234i | 0.0351900 | + | 0.0782888i | ||||
\(502\) | 22.3663 | + | 4.75410i | 0.998256 | + | 0.212186i | ||||
\(503\) | −4.88620 | + | 3.55003i | −0.217865 | + | 0.158288i | −0.691365 | − | 0.722506i | \(-0.742990\pi\) |
0.473500 | + | 0.880794i | \(0.342990\pi\) | |||||||
\(504\) | 1.48821 | − | 15.1966i | 0.0662903 | − | 0.676912i | ||||
\(505\) | 15.1151 | + | 8.91194i | 0.672611 | + | 0.396576i | ||||
\(506\) | 5.33295 | − | 2.37438i | 0.237078 | − | 0.105554i | ||||
\(507\) | −25.5697 | + | 35.4577i | −1.13559 | + | 1.57473i | ||||
\(508\) | 1.77233 | − | 16.8626i | 0.0786344 | − | 0.748157i | ||||
\(509\) | 39.2174 | − | 8.33591i | 1.73828 | − | 0.369483i | 0.773757 | − | 0.633482i | \(-0.218375\pi\) |
0.964523 | + | 0.263999i | \(0.0850416\pi\) | |||||||
\(510\) | 12.8292 | − | 38.7455i | 0.568087 | − | 1.71568i | ||||
\(511\) | −0.356286 | − | 0.0757310i | −0.0157612 | − | 0.00335014i | ||||
\(512\) | −6.34397 | + | 19.5247i | −0.280367 | + | 0.862880i | ||||
\(513\) | 7.99077 | − | 11.2484i | 0.352801 | − | 0.496627i | ||||
\(514\) | −6.92539 | − | 21.3142i | −0.305466 | − | 0.940128i | ||||
\(515\) | 11.5865 | − | 25.3961i | 0.510561 | − | 1.11909i | ||||
\(516\) | 2.19993 | − | 4.98871i | 0.0968465 | − | 0.219616i | ||||
\(517\) | 0.528034 | − | 5.02391i | 0.0232229 | − | 0.220951i | ||||
\(518\) | −9.02295 | − | 15.6282i | −0.396446 | − | 0.686664i | ||||
\(519\) | −8.09204 | + | 2.66106i | −0.355201 | + | 0.116808i | ||||
\(520\) | 6.76445 | − | 14.8268i | 0.296641 | − | 0.650200i | ||||
\(521\) | −23.0314 | + | 16.7333i | −1.00902 | + | 0.733098i | −0.964004 | − | 0.265888i | \(-0.914335\pi\) |
−0.0450190 | + | 0.998986i | \(0.514335\pi\) | |||||||
\(522\) | 10.1975 | + | 7.29883i | 0.446331 | + | 0.319461i | ||||
\(523\) | 9.53164 | + | 29.3354i | 0.416790 | + | 1.28275i | 0.910640 | + | 0.413200i | \(0.135589\pi\) |
−0.493851 | + | 0.869547i | \(0.664411\pi\) | |||||||
\(524\) | −3.52296 | + | 6.10194i | −0.153901 | + | 0.266564i | ||||
\(525\) | −0.551133 | + | 37.3950i | −0.0240534 | + | 1.63205i | ||||
\(526\) | −10.0997 | − | 17.4932i | −0.440368 | − | 0.762740i | ||||
\(527\) | 8.99712 | − | 9.99232i | 0.391921 | − | 0.435272i | ||||
\(528\) | 6.63036 | + | 3.79672i | 0.288549 | + | 0.165231i | ||||
\(529\) | 1.10928 | + | 10.5541i | 0.0482295 | + | 0.458874i | ||||
\(530\) | 7.06967 | + | 16.2777i | 0.307087 | + | 0.707057i | ||||
\(531\) | 11.9194 | − | 37.5904i | 0.517260 | − | 1.63128i | ||||
\(532\) | 15.5576 | 0.674506 | ||||||||
\(533\) | 34.1677 | − | 15.2124i | 1.47997 | − | 0.658924i | ||||
\(534\) | −11.1945 | − | 15.2934i | −0.484433 | − | 0.661812i | ||||
\(535\) | −0.126529 | + | 13.8375i | −0.00547034 | + | 0.598248i | ||||
\(536\) | 6.00844 | − | 6.67305i | 0.259525 | − | 0.288232i | ||||
\(537\) | 1.39286 | − | 3.15856i | 0.0601065 | − | 0.136302i | ||||
\(538\) | 7.74708 | + | 8.60400i | 0.334000 | + | 0.370945i | ||||
\(539\) | −3.25885 | − | 10.0297i | −0.140368 | − | 0.432010i | ||||
\(540\) | −14.4103 | − | 6.38986i | −0.620120 | − | 0.274976i | ||||
\(541\) | −3.48166 | + | 10.7154i | −0.149688 | + | 0.460693i | −0.997584 | − | 0.0694700i | \(-0.977869\pi\) |
0.847896 | + | 0.530163i | \(0.177869\pi\) | |||||||
\(542\) | −10.1371 | + | 4.51334i | −0.435427 | + | 0.193865i | ||||
\(543\) | −14.9847 | − | 1.52119i | −0.643057 | − | 0.0652806i | ||||
\(544\) | 3.95031 | − | 37.5847i | 0.169368 | − | 1.61143i | ||||
\(545\) | 36.7600 | + | 12.3168i | 1.57462 | + | 0.527592i | ||||
\(546\) | −0.300860 | − | 84.7422i | −0.0128756 | − | 3.62663i | ||||
\(547\) | 2.80461 | + | 26.6841i | 0.119917 | + | 1.14093i | 0.874601 | + | 0.484843i | \(0.161123\pi\) |
−0.754685 | + | 0.656088i | \(0.772210\pi\) | |||||||
\(548\) | 4.25330 | + | 13.0903i | 0.181692 | + | 0.559190i | ||||
\(549\) | −28.1535 | + | 31.7177i | −1.20156 | + | 1.35368i | ||||
\(550\) | −7.51306 | − | 3.51103i | −0.320358 | − | 0.149711i | ||||
\(551\) | 3.02921 | − | 5.24675i | 0.129049 | − | 0.223519i | ||||
\(552\) | 5.32238 | − | 4.82662i | 0.226535 | − | 0.205434i | ||||
\(553\) | −3.52032 | − | 1.56735i | −0.149699 | − | 0.0666503i | ||||
\(554\) | −49.9301 | − | 22.2303i | −2.12133 | − | 0.944476i | ||||
\(555\) | 8.65069 | − | 1.78825i | 0.367201 | − | 0.0759069i | ||||
\(556\) | −4.23647 | + | 1.88620i | −0.179666 | + | 0.0799926i | ||||
\(557\) | −35.4517 | −1.50214 | −0.751069 | − | 0.660224i | \(-0.770461\pi\) | ||||
−0.751069 | + | 0.660224i | \(0.770461\pi\) | |||||||
\(558\) | −8.66508 | − | 9.48720i | −0.366822 | − | 0.401625i | ||||
\(559\) | −4.43371 | + | 13.6456i | −0.187526 | + | 0.577145i | ||||
\(560\) | 9.36171 | + | 46.1127i | 0.395604 | + | 1.94862i | ||||
\(561\) | −8.58733 | − | 2.75653i | −0.362557 | − | 0.116381i | ||||
\(562\) | −39.9583 | + | 8.49340i | −1.68554 | + | 0.358273i | ||||
\(563\) | −38.3903 | + | 8.16010i | −1.61796 | + | 0.343907i | −0.925851 | − | 0.377889i | \(-0.876650\pi\) |
−0.692106 | + | 0.721796i | \(0.743317\pi\) | |||||||
\(564\) | 2.77178 | + | 12.8163i | 0.116713 | + | 0.539663i | ||||
\(565\) | −2.66776 | − | 13.1405i | −0.112234 | − | 0.552826i | ||||
\(566\) | −14.3644 | + | 44.2092i | −0.603782 | + | 1.85825i | ||||
\(567\) | 38.8624 | − | 0.551926i | 1.63207 | − | 0.0231787i | ||||
\(568\) | 6.13421 | 0.257386 | ||||||||
\(569\) | −37.5297 | + | 16.7093i | −1.57333 | + | 0.700490i | −0.993456 | − | 0.114219i | \(-0.963563\pi\) |
−0.579870 | + | 0.814709i | \(0.696897\pi\) | |||||||
\(570\) | −5.92266 | + | 17.8870i | −0.248073 | + | 0.749205i | ||||
\(571\) | 42.4372 | + | 18.8943i | 1.77594 | + | 0.790700i | 0.983537 | + | 0.180704i | \(0.0578377\pi\) |
0.792404 | + | 0.609996i | \(0.208829\pi\) | |||||||
\(572\) | 6.93831 | + | 3.08913i | 0.290105 | + | 0.129163i | ||||
\(573\) | 37.1093 | + | 11.9120i | 1.55026 | + | 0.497633i | ||||
\(574\) | −23.9270 | + | 41.4427i | −0.998692 | + | 1.72979i | ||||
\(575\) | −12.0126 | + | 12.8604i | −0.500961 | + | 0.536318i | ||||
\(576\) | −6.73623 | − | 1.38191i | −0.280676 | − | 0.0575797i | ||||
\(577\) | 0.870205 | + | 2.67822i | 0.0362271 | + | 0.111496i | 0.967535 | − | 0.252738i | \(-0.0813310\pi\) |
−0.931308 | + | 0.364233i | \(0.881331\pi\) | |||||||
\(578\) | 3.08025 | + | 29.3066i | 0.128122 | + | 1.21900i | ||||
\(579\) | 16.5306 | + | 9.46583i | 0.686987 | + | 0.393387i | ||||
\(580\) | −6.56294 | − | 2.19897i | −0.272511 | − | 0.0913074i | ||||
\(581\) | −0.470160 | + | 4.47327i | −0.0195055 | + | 0.185583i | ||||
\(582\) | −2.13327 | − | 4.74599i | −0.0884269 | − | 0.196727i | ||||
\(583\) | 3.58252 | − | 1.59504i | 0.148373 | − | 0.0660599i | ||||
\(584\) | 0.0307195 | − | 0.0945450i | 0.00127118 | − | 0.00391230i | ||||
\(585\) | 39.4256 | + | 12.8993i | 1.63005 | + | 0.533319i | ||||
\(586\) | 9.42381 | + | 29.0035i | 0.389294 | + | 1.19812i | ||||
\(587\) | −5.00969 | − | 5.56382i | −0.206772 | − | 0.229644i | 0.630835 | − | 0.775917i | \(-0.282713\pi\) |
−0.837607 | + | 0.546274i | \(0.816046\pi\) | |||||||
\(588\) | 16.1687 | + | 22.0890i | 0.666787 | + | 0.910935i | ||||
\(589\) | −4.15356 | + | 4.61300i | −0.171145 | + | 0.190075i | ||||
\(590\) | −0.492397 | + | 53.8496i | −0.0202717 | + | 2.21695i | ||||
\(591\) | 4.13904 | − | 9.38597i | 0.170257 | − | 0.386087i | ||||
\(592\) | 10.1531 | − | 4.52043i | 0.417288 | − | 0.185789i | ||||
\(593\) | 14.1652 | 0.581694 | 0.290847 | − | 0.956770i | \(-0.406063\pi\) | ||||
0.290847 | + | 0.956770i | \(0.406063\pi\) | |||||||
\(594\) | −3.42133 | + | 7.91011i | −0.140379 | + | 0.324556i | ||||
\(595\) | −22.1262 | − | 50.9450i | −0.907088 | − | 2.08854i | ||||
\(596\) | −1.98904 | − | 18.9244i | −0.0814741 | − | 0.775174i | ||||
\(597\) | −12.7817 | + | 7.44016i | −0.523121 | + | 0.304506i | ||||
\(598\) | 26.6820 | − | 29.6334i | 1.09111 | − | 1.21180i | ||||
\(599\) | 17.7180 | + | 30.6885i | 0.723939 | + | 1.25390i | 0.959409 | + | 0.282018i | \(0.0910037\pi\) |
−0.235470 | + | 0.971882i | \(0.575663\pi\) | |||||||
\(600\) | −10.1343 | − | 1.21640i | −0.413730 | − | 0.0496593i | ||||
\(601\) | 0.756431 | − | 1.31018i | 0.0308555 | − | 0.0534433i | −0.850185 | − | 0.526484i | \(-0.823510\pi\) |
0.881041 | + | 0.473040i | \(0.156844\pi\) | |||||||
\(602\) | −5.67282 | − | 17.4592i | −0.231207 | − | 0.711582i | ||||
\(603\) | 18.5860 | + | 13.3029i | 0.756879 | + | 0.541736i | ||||
\(604\) | −0.375414 | + | 0.272755i | −0.0152754 | + | 0.0110982i | ||||
\(605\) | 9.44880 | − | 20.7106i | 0.384148 | − | 0.842006i | ||||
\(606\) | −5.09084 | + | 24.3757i | −0.206801 | + | 0.990196i | ||||
\(607\) | −6.39122 | − | 11.0699i | −0.259412 | − | 0.449314i | 0.706673 | − | 0.707540i | \(-0.250195\pi\) |
−0.966084 | + | 0.258226i | \(0.916862\pi\) | |||||||
\(608\) | −1.82368 | + | 17.3511i | −0.0739599 | + | 0.703682i | ||||
\(609\) | 16.9658 | − | 1.84410i | 0.687488 | − | 0.0747266i | ||||
\(610\) | 24.0389 | − | 52.6904i | 0.973308 | − | 2.13337i | ||||
\(611\) | −10.6630 | − | 32.8174i | −0.431380 | − | 1.32765i | ||||
\(612\) | 23.4102 | − | 0.166228i | 0.946299 | − | 0.00671937i | ||||
\(613\) | 9.49601 | − | 29.2257i | 0.383540 | − | 1.18042i | −0.553994 | − | 0.832521i | \(-0.686897\pi\) |
0.937534 | − | 0.347894i | \(-0.113103\pi\) | |||||||
\(614\) | −0.526301 | − | 0.111869i | −0.0212398 | − | 0.00451465i | ||||
\(615\) | −15.5766 | − | 17.4954i | −0.628111 | − | 0.705484i | ||||
\(616\) | 4.50700 | − | 0.957992i | 0.181592 | − | 0.0385986i | ||||
\(617\) | 3.17919 | − | 30.2480i | 0.127989 | − | 1.21774i | −0.722360 | − | 0.691518i | \(-0.756942\pi\) |
0.850349 | − | 0.526219i | \(-0.176391\pi\) | |||||||
\(618\) | 39.4124 | + | 4.00099i | 1.58540 | + | 0.160944i | ||||
\(619\) | 26.2309 | − | 11.6787i | 1.05431 | − | 0.469408i | 0.194966 | − | 0.980810i | \(-0.437540\pi\) |
0.859341 | + | 0.511402i | \(0.170874\pi\) | |||||||
\(620\) | 6.10895 | + | 3.60188i | 0.245341 | + | 0.144655i | ||||
\(621\) | 13.7206 | + | 12.0920i | 0.550588 | + | 0.485234i | ||||
\(622\) | −29.8400 | + | 21.6800i | −1.19648 | + | 0.869290i | ||||
\(623\) | −25.2284 | − | 5.36246i | −1.01075 | − | 0.214842i | ||||
\(624\) | 51.9235 | + | 5.27107i | 2.07861 | + | 0.211012i | ||||
\(625\) | 24.9833 | + | 0.914164i | 0.999331 | + | 0.0365666i | ||||
\(626\) | 6.00266 | + | 10.3969i | 0.239915 | + | 0.415545i | ||||
\(627\) | 3.96438 | + | 1.27256i | 0.158322 | + | 0.0508213i | ||||
\(628\) | 1.83629 | + | 17.4712i | 0.0732760 | + | 0.697175i | ||||
\(629\) | −10.6135 | + | 7.71116i | −0.423188 | + | 0.307464i | ||||
\(630\) | −50.5111 | + | 16.2980i | −2.01241 | + | 0.649329i | ||||
\(631\) | 13.4714 | + | 9.78757i | 0.536289 | + | 0.389637i | 0.822705 | − | 0.568468i | \(-0.192464\pi\) |
−0.286416 | + | 0.958105i | \(0.592464\pi\) | |||||||
\(632\) | 0.525847 | − | 0.910793i | 0.0209171 | − | 0.0362294i | ||||
\(633\) | −9.50128 | + | 45.4936i | −0.377642 | + | 1.80821i | ||||
\(634\) | −43.2040 | + | 9.18329i | −1.71585 | + | 0.364715i | ||||
\(635\) | 26.6555 | − | 8.39223i | 1.05779 | − | 0.333035i | ||||
\(636\) | −7.54050 | + | 6.83813i | −0.299000 | + | 0.271149i | ||||
\(637\) | −48.2018 | − | 53.5335i | −1.90982 | − | 2.12108i | ||||
\(638\) | −1.16938 | + | 3.59898i | −0.0462962 | + | 0.142485i | ||||
\(639\) | 1.74232 | + | 15.5164i | 0.0689250 | + | 0.613819i | ||||
\(640\) | −19.9017 | + | 1.90794i | −0.786682 | + | 0.0754178i | ||||
\(641\) | −5.09849 | − | 5.66245i | −0.201378 | − | 0.223653i | 0.633994 | − | 0.773338i | \(-0.281414\pi\) |
−0.835372 | + | 0.549685i | \(0.814748\pi\) | |||||||
\(642\) | −18.6557 | + | 6.13490i | −0.736280 | + | 0.242125i | ||||
\(643\) | −2.09689 | − | 3.63192i | −0.0826933 | − | 0.143229i | 0.821713 | − | 0.569902i | \(-0.193019\pi\) |
−0.904406 | + | 0.426673i | \(0.859686\pi\) | |||||||
\(644\) | −2.15549 | + | 20.5081i | −0.0849383 | + | 0.808134i | ||||
\(645\) | 8.98605 | + | 0.0502631i | 0.353825 | + | 0.00197911i | ||||
\(646\) | −2.92501 | − | 27.8296i | −0.115083 | − | 1.09494i | ||||
\(647\) | 40.9094 | − | 29.7224i | 1.60831 | − | 1.16851i | 0.739821 | − | 0.672804i | \(-0.234910\pi\) |
0.868492 | − | 0.495703i | \(-0.165090\pi\) | |||||||
\(648\) | −0.958861 | + | 10.5640i | −0.0376676 | + | 0.414994i | ||||
\(649\) | 11.8999 | 0.467112 | ||||||||
\(650\) | −56.6381 | − | 1.03588i | −2.22153 | − | 0.0406304i | ||||
\(651\) | −17.3960 | − | 1.76597i | −0.681801 | − | 0.0692138i | ||||
\(652\) | 1.02984 | − | 1.14376i | 0.0403317 | − | 0.0447929i | ||||
\(653\) | −34.6669 | − | 15.4347i | −1.35662 | − | 0.604007i | −0.405862 | − | 0.913935i | \(-0.633028\pi\) |
−0.950760 | + | 0.309928i | \(0.899695\pi\) | |||||||
\(654\) | 0.195332 | + | 55.0185i | 0.00763808 | + | 2.15139i | ||||
\(655\) | −11.5376 | − | 1.31942i | −0.450812 | − | 0.0515540i | ||||
\(656\) | −23.8431 | − | 17.3231i | −0.930918 | − | 0.676352i | ||||
\(657\) | 0.247876 | + | 0.0508507i | 0.00967055 | + | 0.00198388i | ||||
\(658\) | 35.7181 | + | 25.9507i | 1.39244 | + | 1.01166i | ||||
\(659\) | −9.01502 | − | 10.0122i | −0.351175 | − | 0.390020i | 0.541514 | − | 0.840692i | \(-0.317851\pi\) |
−0.892690 | + | 0.450672i | \(0.851185\pi\) | |||||||
\(660\) | 0.523673 | − | 4.72788i | 0.0203840 | − | 0.184032i | ||||
\(661\) | −31.1547 | + | 34.6008i | −1.21178 | + | 1.34582i | −0.290516 | + | 0.956870i | \(0.593827\pi\) |
−0.921261 | + | 0.388945i | \(0.872840\pi\) | |||||||
\(662\) | 30.5994 | − | 6.50410i | 1.18928 | − | 0.252789i | ||||
\(663\) | −61.2455 | + | 6.65709i | −2.37858 | + | 0.258540i | ||||
\(664\) | −1.20075 | − | 0.255228i | −0.0465982 | − | 0.00990475i | ||||
\(665\) | 10.2147 | + | 23.5190i | 0.396109 | + | 0.912027i | ||||
\(666\) | 6.34508 | + | 10.8120i | 0.245867 | + | 0.418955i | ||||
\(667\) | 6.49662 | + | 4.72007i | 0.251550 | + | 0.182762i | ||||
\(668\) | 0.752440 | − | 1.30327i | 0.0291128 | − | 0.0504248i | ||||
\(669\) | 24.3761 | − | 8.01606i | 0.942434 | − | 0.309919i | ||||
\(670\) | −29.5951 | − | 9.91611i | −1.14336 | − | 0.383093i | ||||
\(671\) | −11.6913 | − | 5.20532i | −0.451339 | − | 0.200949i | ||||
\(672\) | −42.4732 | + | 24.7234i | −1.63844 | + | 0.953725i | ||||
\(673\) | −6.73710 | − | 1.43201i | −0.259696 | − | 0.0552001i | 0.0762236 | − | 0.997091i | \(-0.475714\pi\) |
−0.335920 | + | 0.941891i | \(0.609047\pi\) | |||||||
\(674\) | −46.8721 | −1.80545 | ||||||||
\(675\) | 0.198401 | − | 25.9800i | 0.00763644 | − | 0.999971i | ||||
\(676\) | 34.2422 | 1.31701 | ||||||||
\(677\) | 35.2854 | + | 7.50014i | 1.35613 | + | 0.288254i | 0.827913 | − | 0.560857i | \(-0.189528\pi\) |
0.528215 | + | 0.849111i | \(0.322862\pi\) | |||||||
\(678\) | 16.4457 | − | 9.57292i | 0.631592 | − | 0.367646i | ||||
\(679\) | −6.46889 | − | 2.88014i | −0.248253 | − | 0.110529i | ||||
\(680\) | 14.4590 | − | 4.55229i | 0.554478 | − | 0.174572i | ||||
\(681\) | −20.3868 | + | 6.70418i | −0.781223 | + | 0.256905i | ||||
\(682\) | 1.93862 | − | 3.35780i | 0.0742338 | − | 0.128577i | ||||
\(683\) | −27.9970 | − | 20.3410i | −1.07127 | − | 0.778326i | −0.0951333 | − | 0.995465i | \(-0.530328\pi\) |
−0.976141 | + | 0.217138i | \(0.930328\pi\) | |||||||
\(684\) | −10.8074 | + | 0.0767399i | −0.413232 | + | 0.00293422i | ||||
\(685\) | −16.9965 | + | 15.0246i | −0.649404 | + | 0.574062i | ||||
\(686\) | 35.9810 | + | 7.64800i | 1.37376 | + | 0.292002i | ||||
\(687\) | −27.2358 | + | 2.96040i | −1.03911 | + | 0.112946i | ||||
\(688\) | 11.0588 | − | 2.35063i | 0.421614 | − | 0.0896169i | ||||
\(689\) | 17.9242 | − | 19.9069i | 0.682859 | − | 0.758391i | ||||
\(690\) | −22.7583 | − | 10.2855i | −0.866392 | − | 0.391564i | ||||
\(691\) | −32.7654 | − | 36.3897i | −1.24645 | − | 1.38433i | −0.893733 | − | 0.448600i | \(-0.851923\pi\) |
−0.352722 | − | 0.935728i | \(-0.614744\pi\) | |||||||
\(692\) | 5.39806 | + | 3.92192i | 0.205203 | + | 0.149089i | ||||
\(693\) | 3.70336 | + | 11.1283i | 0.140679 | + | 0.422728i | ||||
\(694\) | 39.1584 | + | 28.4502i | 1.48643 | + | 1.07996i | ||||
\(695\) | −5.63300 | − | 5.16601i | −0.213672 | − | 0.195958i | ||||
\(696\) | 0.0165357 | + | 4.65757i | 0.000626785 | + | 0.176545i | ||||
\(697\) | 31.7812 | + | 14.1499i | 1.20380 | + | 0.535965i | ||||
\(698\) | 15.8296 | − | 17.5806i | 0.599161 | − | 0.665435i | ||||
\(699\) | 22.3331 | + | 2.26717i | 0.844717 | + | 0.0857523i | ||||
\(700\) | 24.0106 | − | 16.7826i | 0.907516 | − | 0.634322i | ||||
\(701\) | 6.00618 | 0.226850 | 0.113425 | − | 0.993547i | \(-0.463818\pi\) | ||||
0.113425 | + | 0.993547i | \(0.463818\pi\) | |||||||
\(702\) | 0.627001 | + | 58.8665i | 0.0236646 | + | 2.22177i | ||||
\(703\) | 4.89977 | − | 3.55989i | 0.184798 | − | 0.134264i | ||||
\(704\) | −0.216903 | − | 2.06370i | −0.00817485 | − | 0.0777785i | ||||
\(705\) | −17.5550 | + | 12.6050i | −0.661160 | + | 0.474734i | ||||
\(706\) | 0.203754 | − | 1.93859i | 0.00766837 | − | 0.0729597i | ||||
\(707\) | 16.9438 | + | 29.3476i | 0.637239 | + | 1.10373i | ||||
\(708\) | −29.3432 | + | 9.64948i | −1.10278 | + | 0.362650i | ||||
\(709\) | −25.5758 | − | 28.4048i | −0.960518 | − | 1.06676i | −0.997722 | − | 0.0674557i | \(-0.978512\pi\) |
0.0372042 | − | 0.999308i | \(-0.488155\pi\) | |||||||
\(710\) | −8.49405 | − | 19.5573i | −0.318776 | − | 0.733972i | ||||
\(711\) | 2.45320 | + | 1.07143i | 0.0920020 | + | 0.0401816i | ||||
\(712\) | 2.17523 | − | 6.69467i | 0.0815202 | − | 0.250893i | ||||
\(713\) | −5.50543 | − | 6.11439i | −0.206180 | − | 0.228986i | ||||
\(714\) | 58.3898 | − | 52.9510i | 2.18518 | − | 1.98164i | ||||
\(715\) | −0.114456 | + | 12.5172i | −0.00428041 | + | 0.468115i | ||||
\(716\) | −2.64487 | + | 0.562184i | −0.0988433 | + | 0.0210098i | ||||
\(717\) | 1.72678 | − | 8.26811i | 0.0644879 | − | 0.308778i | ||||
\(718\) | −5.62798 | + | 9.74795i | −0.210035 | + | 0.363790i | ||||
\(719\) | −18.5111 | − | 13.4491i | −0.690348 | − | 0.501567i | 0.186426 | − | 0.982469i | \(-0.440309\pi\) |
−0.876775 | + | 0.480901i | \(0.840309\pi\) | |||||||
\(720\) | −6.73077 | − | 31.9870i | −0.250841 | − | 1.19209i | ||||
\(721\) | 43.6145 | − | 31.6878i | 1.62429 | − | 1.18011i | ||||
\(722\) | −2.28834 | − | 21.7721i | −0.0851633 | − | 0.810275i | ||||
\(723\) | 4.24185 | + | 1.36163i | 0.157756 | + | 0.0506396i | ||||
\(724\) | 5.89888 | + | 10.2172i | 0.219230 | + | 0.379718i | ||||
\(725\) | −0.984779 | − | 11.3652i | −0.0365738 | − | 0.422095i | ||||
\(726\) | 32.1409 | + | 3.26282i | 1.19286 | + | 0.121095i | ||||
\(727\) | −17.7884 | − | 3.78104i | −0.659734 | − | 0.140231i | −0.134135 | − | 0.990963i | \(-0.542826\pi\) |
−0.525599 | + | 0.850732i | \(0.676159\pi\) | |||||||
\(728\) | 25.4631 | − | 18.5000i | 0.943725 | − | 0.685657i | ||||
\(729\) | −26.9939 | + | 0.575102i | −0.999773 | + | 0.0213001i | ||||
\(730\) | −0.343969 | + | 0.0329756i | −0.0127309 | + | 0.00122048i | ||||
\(731\) | −12.1918 | + | 5.42816i | −0.450932 | + | 0.200768i | ||||
\(732\) | 33.0498 | + | 3.35508i | 1.22156 | + | 0.124007i | ||||
\(733\) | 3.36294 | − | 31.9963i | 0.124213 | − | 1.18181i | −0.737834 | − | 0.674982i | \(-0.764151\pi\) |
0.862048 | − | 0.506827i | \(-0.169182\pi\) | |||||||
\(734\) | −25.0630 | + | 5.32730i | −0.925092 | + | 0.196634i | ||||
\(735\) | −22.7768 | + | 38.9459i | −0.840137 | + | 1.43654i | ||||
\(736\) | −22.6198 | − | 4.80798i | −0.833776 | − | 0.177224i | ||||
\(737\) | −2.13132 | + | 6.55953i | −0.0785082 | + | 0.241623i | ||||
\(738\) | 16.4170 | − | 28.9071i | 0.604317 | − | 1.06409i | ||||
\(739\) | −9.10517 | − | 28.0228i | −0.334939 | − | 1.03084i | −0.966752 | − | 0.255716i | \(-0.917689\pi\) |
0.631813 | − | 0.775121i | \(-0.282311\pi\) | |||||||
\(740\) | −5.09948 | − | 4.67673i | −0.187461 | − | 0.171920i | ||||
\(741\) | 28.2743 | − | 3.07328i | 1.03868 | − | 0.112900i | ||||
\(742\) | −3.58258 | + | 34.0860i | −0.131521 | + | 1.25134i | ||||
\(743\) | 3.85790 | + | 6.68207i | 0.141533 | + | 0.245142i | 0.928074 | − | 0.372396i | \(-0.121464\pi\) |
−0.786541 | + | 0.617538i | \(0.788130\pi\) | |||||||
\(744\) | 0.975603 | − | 4.67134i | 0.0357674 | − | 0.171260i | ||||
\(745\) | 27.3028 | − | 15.4322i | 1.00030 | − | 0.565391i | ||||
\(746\) | 2.21447 | − | 1.60890i | 0.0810773 | − | 0.0589061i | ||||
\(747\) | 0.304542 | − | 3.10978i | 0.0111426 | − | 0.113781i | ||||
\(748\) | 2.18303 | + | 6.71868i | 0.0798196 | + | 0.245659i | ||||
\(749\) | −13.3626 | + | 23.1448i | −0.488260 | + | 0.845691i | ||||
\(750\) | 10.1548 | + | 33.9948i | 0.370800 | + | 1.24131i | ||||
\(751\) | −26.7485 | − | 46.3297i | −0.976066 | − | 1.69060i | −0.676372 | − | 0.736560i | \(-0.736449\pi\) |
−0.299694 | − | 0.954035i | \(-0.596885\pi\) | |||||||
\(752\) | −18.1941 | + | 20.2065i | −0.663469 | + | 0.736857i | ||||
\(753\) | −18.6823 | + | 10.8749i | −0.680821 | + | 0.396302i | ||||
\(754\) | 2.70196 | + | 25.7074i | 0.0983995 | + | 0.936209i | ||||
\(755\) | −0.658821 | − | 0.388445i | −0.0239770 | − | 0.0141370i | ||||
\(756\) | −18.1556 | − | 24.4375i | −0.660314 | − | 0.888782i | ||||
\(757\) | −10.3719 | −0.376971 | −0.188486 | − | 0.982076i | \(-0.560358\pi\) | ||||
−0.188486 | + | 0.982076i | \(0.560358\pi\) | |||||||
\(758\) | −1.11063 | + | 0.494485i | −0.0403400 | + | 0.0179605i | ||||
\(759\) | −2.22677 | + | 5.04957i | −0.0808265 | + | 0.183288i | ||||
\(760\) | −6.67508 | + | 2.10158i | −0.242131 | + | 0.0762325i | ||||
\(761\) | 15.2839 | − | 16.9745i | 0.554043 | − | 0.615327i | −0.399446 | − | 0.916757i | \(-0.630797\pi\) |
0.953488 | + | 0.301430i | \(0.0974640\pi\) | |||||||
\(762\) | 23.4248 | + | 32.0019i | 0.848590 | + | 1.15931i | ||||
\(763\) | 50.0998 | + | 55.6414i | 1.81373 | + | 2.01436i | ||||
\(764\) | −9.43375 | − | 29.0341i | −0.341301 | − | 1.05042i | ||||
\(765\) | 15.6218 | + | 35.2809i | 0.564807 | + | 1.27558i | ||||
\(766\) | −11.9236 | + | 36.6972i | −0.430818 | + | 1.32592i | ||||
\(767\) | 74.2582 | − | 33.0619i | 2.68131 | − | 1.19380i | ||||
\(768\) | −14.8877 | − | 33.1214i | −0.537214 | − | 1.19516i | ||||
\(769\) | −1.96148 | + | 18.6622i | −0.0707328 | + | 0.672978i | 0.900502 | + | 0.434853i | \(0.143200\pi\) |
−0.971234 | + | 0.238125i | \(0.923467\pi\) | |||||||
\(770\) | −9.29514 | − | 13.0428i | −0.334974 | − | 0.470030i | ||||
\(771\) | 18.3858 | + | 10.5282i | 0.662150 | + | 0.379164i | ||||
\(772\) | −1.55966 | − | 14.8391i | −0.0561333 | − | 0.534072i | ||||
\(773\) | 11.9727 | + | 36.8481i | 0.430627 | + | 1.32533i | 0.897502 | + | 0.441010i | \(0.145380\pi\) |
−0.466875 | + | 0.884323i | \(0.654620\pi\) | |||||||
\(774\) | 4.02687 | + | 12.1004i | 0.144743 | + | 0.434940i | ||||
\(775\) | −1.43413 | + | 11.6000i | −0.0515154 | + | 0.416686i | ||||
\(776\) | 0.966290 | − | 1.67366i | 0.0346878 | − | 0.0600810i | ||||
\(777\) | 16.2438 | + | 5.21424i | 0.582742 | + | 0.187060i | ||||
\(778\) | 27.1690 | + | 12.0964i | 0.974055 | + | 0.433677i | ||||
\(779\) | −14.6719 | − | 6.53237i | −0.525677 | − | 0.234046i | ||||
\(780\) | −9.86777 | − | 30.9580i | −0.353323 | − | 1.10847i | ||||
\(781\) | −4.30432 | + | 1.91641i | −0.154021 | + | 0.0685745i | ||||
\(782\) | 37.0905 | 1.32635 | ||||||||
\(783\) | −11.7766 | + | 1.36473i | −0.420860 | + | 0.0487714i | ||||
\(784\) | −17.5410 | + | 53.9858i | −0.626466 | + | 1.92806i | ||||
\(785\) | −25.2062 | + | 14.2471i | −0.899647 | + | 0.508500i | ||||
\(786\) | −3.48369 | − | 16.1081i | −0.124259 | − | 0.574556i | ||||
\(787\) | −8.47701 | + | 1.80184i | −0.302173 | + | 0.0642288i | −0.356503 | − | 0.934294i | \(-0.616031\pi\) |
0.0543301 | + | 0.998523i | \(0.482698\pi\) | |||||||
\(788\) | −7.85949 | + | 1.67059i | −0.279983 | + | 0.0595121i | ||||
\(789\) | 18.1822 | + | 5.83648i | 0.647305 | + | 0.207784i | ||||
\(790\) | −3.63196 | − | 0.415344i | −0.129219 | − | 0.0147773i | ||||
\(791\) | 8.00222 | − | 24.6283i | 0.284526 | − | 0.875682i | ||||
\(792\) | −3.12616 | + | 0.687721i | −0.111083 | + | 0.0244371i | ||||
\(793\) | −87.4187 | −3.10433 | ||||||||
\(794\) | −26.9546 | + | 12.0010i | −0.956583 | + | 0.425898i | ||||
\(795\) | −15.2884 | − | 6.90954i | −0.542222 | − | 0.245056i | ||||
\(796\) | 10.5830 | + | 4.71184i | 0.375103 | + | 0.167007i | ||||
\(797\) | −15.7837 | − | 7.02736i | −0.559087 | − | 0.248922i | 0.107683 | − | 0.994185i | \(-0.465657\pi\) |
−0.666770 | + | 0.745264i | \(0.732324\pi\) | |||||||
\(798\) | −26.9559 | + | 24.4451i | −0.954230 | + | 0.865346i | ||||
\(799\) | 16.0481 | − | 27.7961i | 0.567740 | − | 0.983354i | ||||
\(800\) | 15.9028 | + | 28.7460i | 0.562250 | + | 1.01632i | ||||
\(801\) | 17.5519 | + | 3.60071i | 0.620166 | + | 0.127225i | ||||
\(802\) | −11.0458 | − | 33.9954i | −0.390040 | − | 1.20042i | ||||
\(803\) | 0.00798146 | + | 0.0759386i | 0.000281660 | + | 0.00267981i | ||||
\(804\) | −0.0635608 | − | 17.9030i | −0.00224162 | − | 0.631389i | ||||
\(805\) | −32.4182 | + | 10.2066i | −1.14259 | + | 0.359734i | ||||
\(806\) | 2.76840 | − | 26.3396i | 0.0975128 | − | 0.927772i | ||||
\(807\) | −10.8894 | − | 1.10545i | −0.383326 | − | 0.0389137i | ||||
\(808\) | −8.44909 | + | 3.76178i | −0.297238 | + | 0.132339i | ||||
\(809\) | −7.51279 | + | 23.1220i | −0.264136 | + | 0.812925i | 0.727756 | + | 0.685836i | \(0.240563\pi\) |
−0.991891 | + | 0.127089i | \(0.959437\pi\) | |||||||
\(810\) | 35.0083 | − | 11.5709i | 1.23006 | − | 0.406561i | ||||
\(811\) | −6.22416 | − | 19.1560i | −0.218560 | − | 0.672658i | −0.998882 | − | 0.0472798i | \(-0.984945\pi\) |
0.780322 | − | 0.625378i | \(-0.215055\pi\) | |||||||
\(812\) | −8.94456 | − | 9.93394i | −0.313893 | − | 0.348613i | ||||
\(813\) | 4.23275 | − | 9.59849i | 0.148449 | − | 0.336634i | ||||
\(814\) | −2.53130 | + | 2.81129i | −0.0887219 | + | 0.0985356i | ||||
\(815\) | 2.40523 | + | 0.805893i | 0.0842514 | + | 0.0282292i | ||||
\(816\) | 28.6733 | + | 39.1722i | 1.00377 | + | 1.37130i | ||||
\(817\) | 5.62842 | − | 2.50594i | 0.196914 | − | 0.0876716i | ||||
\(818\) | −31.2318 | −1.09199 | ||||||||
\(819\) | 54.0279 | + | 59.1539i | 1.88789 | + | 2.06701i | ||||
\(820\) | −3.97881 | + | 17.9119i | −0.138946 | + | 0.625510i | ||||
\(821\) | 3.25798 | + | 30.9976i | 0.113704 | + | 1.08182i | 0.891411 | + | 0.453196i | \(0.149716\pi\) |
−0.777706 | + | 0.628628i | \(0.783617\pi\) | |||||||
\(822\) | −27.9379 | − | 15.9980i | −0.974445 | − | 0.557993i | ||||
\(823\) | −5.03805 | + | 5.59532i | −0.175615 | + | 0.195041i | −0.824526 | − | 0.565824i | \(-0.808558\pi\) |
0.648911 | + | 0.760865i | \(0.275225\pi\) | |||||||
\(824\) | 7.35666 | + | 12.7421i | 0.256281 | + | 0.443892i | ||||
\(825\) | 7.49115 | − | 2.31254i | 0.260808 | − | 0.0805124i | ||||
\(826\) | −52.0016 | + | 90.0694i | −1.80937 | + | 3.13391i | ||||
\(827\) | −11.4110 | − | 35.1194i | −0.396798 | − | 1.22122i | −0.927552 | − | 0.373694i | \(-0.878091\pi\) |
0.530754 | − | 0.847526i | \(-0.321909\pi\) | |||||||
\(828\) | 1.39620 | − | 14.2571i | 0.0485213 | − | 0.495467i | ||||
\(829\) | 37.5208 | − | 27.2605i | 1.30315 | − | 0.946796i | 0.303171 | − | 0.952936i | \(-0.401955\pi\) |
0.999981 | + | 0.00614051i | \(0.00195460\pi\) | |||||||
\(830\) | 0.848958 | + | 4.18169i | 0.0294677 | + | 0.145148i | ||||
\(831\) | 49.0839 | − | 16.1412i | 1.70270 | − | 0.559932i | ||||
\(832\) | −7.08716 | − | 12.2753i | −0.245703 | − | 0.425570i | ||||
\(833\) | 7.00392 | − | 66.6379i | 0.242672 | − | 2.30887i | ||||
\(834\) | 4.37663 | − | 9.92476i | 0.151550 | − | 0.343666i | ||||
\(835\) | 2.46423 | + | 0.281805i | 0.0852782 | + | 0.00975225i | ||||
\(836\) | −1.00781 | − | 3.10171i | −0.0348558 | − | 0.107275i | ||||
\(837\) | 12.0932 | + | 1.14096i | 0.418002 | + | 0.0394374i | ||||
\(838\) | 17.6097 | − | 54.1971i | 0.608317 | − | 1.87221i | ||||
\(839\) | 2.51037 | + | 0.533595i | 0.0866675 | + | 0.0184218i | 0.251041 | − | 0.967976i | \(-0.419227\pi\) |
−0.164374 | + | 0.986398i | \(0.552560\pi\) | |||||||
\(840\) | −15.8828 | − | 11.6758i | −0.548008 | − | 0.402854i | ||||
\(841\) | 23.2745 | − | 4.94715i | 0.802569 | − | 0.170591i | ||||
\(842\) | −5.01703 | + | 47.7338i | −0.172898 | + | 1.64502i | ||||
\(843\) | 22.5889 | − | 31.3243i | 0.778004 | − | 1.07886i | ||||
\(844\) | 33.2564 | − | 14.8067i | 1.14473 | − | 0.509668i | ||||
\(845\) | 22.4825 | + | 51.7652i | 0.773422 | + | 1.78078i | ||||
\(846\) | −24.9403 | − | 17.8510i | −0.857467 | − | 0.613731i | ||||
\(847\) | 35.5677 | − | 25.8414i | 1.22212 | − | 0.887923i | ||||
\(848\) | −20.6469 | − | 4.38863i | −0.709017 | − | 0.150706i | ||||
\(849\) | −18.0165 | − | 40.0821i | −0.618324 | − | 1.37561i | ||||
\(850\) | −34.5352 | − | 39.7952i | −1.18455 | − | 1.36496i | ||||
\(851\) | 4.01382 | + | 6.95215i | 0.137592 | + | 0.238316i | ||||
\(852\) | 9.05975 | − | 8.21586i | 0.310382 | − | 0.281471i | ||||
\(853\) | −0.0365828 | − | 0.348062i | −0.00125257 | − | 0.0119174i | 0.993878 | − | 0.110485i | \(-0.0352405\pi\) |
−0.995130 | + | 0.0985679i | \(0.968574\pi\) | |||||||
\(854\) | 90.4887 | − | 65.7439i | 3.09646 | − | 2.24971i | ||||
\(855\) | −7.21187 | − | 16.2876i | −0.246641 | − | 0.557024i | ||||
\(856\) | −5.90089 | − | 4.28725i | −0.201688 | − | 0.146535i | ||||
\(857\) | 0.706787 | − | 1.22419i | 0.0241434 | − | 0.0418175i | −0.853701 | − | 0.520763i | \(-0.825648\pi\) |
0.877845 | + | 0.478945i | \(0.158981\pi\) | |||||||
\(858\) | −16.8756 | + | 5.54952i | −0.576122 | + | 0.189457i | ||||
\(859\) | −23.8893 | + | 5.07784i | −0.815094 | + | 0.173254i | −0.596552 | − | 0.802574i | \(-0.703463\pi\) |
−0.218541 | + | 0.975828i | \(0.570130\pi\) | |||||||
\(860\) | −4.08507 | − | 5.73211i | −0.139300 | − | 0.195463i | ||||
\(861\) | −9.56295 | − | 44.2176i | −0.325904 | − | 1.50693i | ||||
\(862\) | 38.0640 | + | 42.2744i | 1.29647 | + | 1.43987i | ||||
\(863\) | 11.4015 | − | 35.0901i | 0.388111 | − | 1.19448i | −0.546087 | − | 0.837728i | \(-0.683883\pi\) |
0.934198 | − | 0.356754i | \(-0.116117\pi\) | |||||||
\(864\) | 29.3830 | − | 17.3841i | 0.999630 | − | 0.591421i | ||||
\(865\) | −2.38470 | + | 10.7355i | −0.0810821 | + | 0.365017i | ||||
\(866\) | 32.0133 | + | 35.5543i | 1.08785 | + | 1.20818i | ||||
\(867\) | −20.7689 | − | 18.5673i | −0.705348 | − | 0.630578i | ||||
\(868\) | 6.84808 | + | 11.8612i | 0.232439 | + | 0.402596i | ||||
\(869\) | −0.0844383 | + | 0.803377i | −0.00286437 | + | 0.0272527i | ||||
\(870\) | 14.8265 | − | 6.50206i | 0.502665 | − | 0.220440i | ||||
\(871\) | 4.92461 | + | 46.8545i | 0.166864 | + | 1.58761i | ||||
\(872\) | −16.5318 | + | 12.0111i | −0.559838 | + | 0.406746i | ||||
\(873\) | 4.50796 | + | 1.96884i | 0.152571 | + | 0.0666352i | ||||
\(874\) | −17.1230 | −0.579194 | ||||||||
\(875\) | 41.1356 | + | 25.2788i | 1.39064 | + | 0.854579i | ||||
\(876\) | −0.0812586 | − | 0.180780i | −0.00274547 | − | 0.00610798i | ||||
\(877\) | −25.4411 | + | 28.2552i | −0.859086 | + | 0.954112i | −0.999352 | − | 0.0360022i | \(-0.988538\pi\) |
0.140266 | + | 0.990114i | \(0.455204\pi\) | |||||||
\(878\) | −14.5880 | − | 6.49498i | −0.492320 | − | 0.219195i | ||||
\(879\) | −25.0187 | − | 14.3264i | −0.843861 | − | 0.483217i | ||||
\(880\) | 8.58704 | − | 4.85359i | 0.289469 | − | 0.163614i | ||||
\(881\) | 34.5989 | + | 25.1376i | 1.16567 | + | 0.846907i | 0.990484 | − | 0.137629i | \(-0.0439483\pi\) |
0.175183 | + | 0.984536i | \(0.443948\pi\) | |||||||
\(882\) | −62.7225 | − | 12.8673i | −2.11198 | − | 0.433264i | ||||
\(883\) | −33.9890 | − | 24.6945i | −1.14382 | − | 0.831036i | −0.156175 | − | 0.987729i | \(-0.549916\pi\) |
−0.987647 | + | 0.156694i | \(0.949916\pi\) | |||||||
\(884\) | 32.2894 | + | 35.8610i | 1.08601 | + | 1.20614i | ||||
\(885\) | −33.8534 | − | 38.0236i | −1.13797 | − | 1.27815i | ||||
\(886\) | −24.1268 | + | 26.7956i | −0.810557 | + | 0.900215i | ||||
\(887\) | 26.7818 | − | 5.69265i | 0.899246 | − | 0.191141i | 0.264978 | − | 0.964254i | \(-0.414635\pi\) |
0.634267 | + | 0.773114i | \(0.281302\pi\) | |||||||
\(888\) | −1.87869 | + | 4.26024i | −0.0630446 | + | 0.142964i | ||||
\(889\) | 52.7911 | + | 11.2211i | 1.77056 | + | 0.376343i | ||||
\(890\) | −24.3562 | + | 2.33498i | −0.816422 | + | 0.0782689i | ||||
\(891\) | −2.62751 | − | 7.71224i | −0.0880250 | − | 0.258370i | ||||
\(892\) | −16.2608 | − | 11.8142i | −0.544453 | − | 0.395569i | ||||
\(893\) | −7.40867 | + | 12.8322i | −0.247922 | + | 0.429413i | ||||
\(894\) | 33.1816 | + | 29.6642i | 1.10976 | + | 0.992120i | ||||
\(895\) | −2.58642 | − | 3.62923i | −0.0864546 | − | 0.121312i | ||||
\(896\) | −35.2737 | − | 15.7049i | −1.17841 | − | 0.524663i | ||||
\(897\) | 0.133836 | + | 37.6972i | 0.00446866 | + | 1.25867i | ||||
\(898\) | −7.48440 | − | 1.59086i | −0.249758 | − | 0.0530876i | ||||
\(899\) | 5.33355 | 0.177884 | ||||||||
\(900\) | −16.5967 | + | 11.7768i | −0.553224 | + | 0.392561i | ||||
\(901\) | 24.9163 | 0.830083 | ||||||||
\(902\) | 9.81240 | + | 2.08569i | 0.326717 | + | 0.0694459i | ||||
\(903\) | 15.0605 | + | 8.62402i | 0.501181 | + | 0.286989i | ||||
\(904\) | 6.45649 | + | 2.87461i | 0.214740 | + | 0.0956082i | ||||
\(905\) | −11.5726 | + | 15.6259i | −0.384687 | + | 0.519422i | ||||
\(906\) | 0.221895 | − | 1.06247i | 0.00737196 | − | 0.0352981i | ||||
\(907\) | −1.09709 | + | 1.90022i | −0.0364283 | + | 0.0630956i | −0.883665 | − | 0.468120i | \(-0.844931\pi\) |
0.847236 | + | 0.531216i | \(0.178265\pi\) | |||||||
\(908\) | 13.5997 | + | 9.88073i | 0.451321 | + | 0.327904i | ||||
\(909\) | −11.9152 | − | 20.3034i | −0.395201 | − | 0.673420i | ||||
\(910\) | −94.2411 | − | 55.5652i | −3.12406 | − | 1.84197i | ||||
\(911\) | 10.6874 | + | 2.27168i | 0.354090 | + | 0.0752642i | 0.381523 | − | 0.924359i | \(-0.375400\pi\) |
−0.0274326 | + | 0.999624i | \(0.508733\pi\) | |||||||
\(912\) | −13.2372 | − | 18.0841i | −0.438327 | − | 0.598823i | ||||
\(913\) | 0.922293 | − | 0.196039i | 0.0305234 | − | 0.00648796i | ||||
\(914\) | 18.9908 | − | 21.0915i | 0.628161 | − | 0.697643i | ||||
\(915\) | 16.6276 | + | 52.1655i | 0.549691 | + | 1.72454i | ||||
\(916\) | 14.3590 | + | 15.9473i | 0.474436 | + | 0.526914i | ||||
\(917\) | −18.1443 | − | 13.1826i | −0.599178 | − | 0.435329i | ||||
\(918\) | −40.3006 | + | 37.0716i | −1.33012 | + | 1.22354i | ||||
\(919\) | −13.1150 | − | 9.52858i | −0.432623 | − | 0.314319i | 0.350074 | − | 0.936722i | \(-0.386156\pi\) |
−0.782697 | + | 0.622403i | \(0.786156\pi\) | |||||||
\(920\) | −1.84550 | − | 9.09033i | −0.0608443 | − | 0.299699i | ||||
\(921\) | 0.439613 | − | 0.255896i | 0.0144857 | − | 0.00843206i | ||||
\(922\) | −3.81865 | − | 1.70017i | −0.125761 | − | 0.0559922i | ||||
\(923\) | −21.5356 | + | 23.9177i | −0.708852 | + | 0.787260i | ||||
\(924\) | 5.37339 | − | 7.45132i | 0.176772 | − | 0.245131i | ||||
\(925\) | 3.72181 | − | 10.7797i | 0.122372 | − | 0.354434i | ||||
\(926\) | 27.4963 | 0.903586 | ||||||||
\(927\) | −30.1414 | + | 22.2277i | −0.989975 | + | 0.730055i | ||||
\(928\) | 12.1277 | − | 8.81128i | 0.398111 | − | 0.289244i | ||||
\(929\) | 1.23111 | + | 11.7132i | 0.0403913 | + | 0.384297i | 0.995979 | + | 0.0895896i | \(0.0285555\pi\) |
−0.955588 | + | 0.294707i | \(0.904778\pi\) | |||||||
\(930\) | −16.2442 | + | 3.35796i | −0.532669 | + | 0.110112i | ||||
\(931\) | −3.23339 | + | 30.7637i | −0.105970 | + | 1.00824i | ||||
\(932\) | −8.79165 | − | 15.2276i | −0.287980 | − | 0.498796i | ||||
\(933\) | 7.12864 | − | 34.1330i | 0.233381 | − | 1.11746i | ||||
\(934\) | −7.10213 | − | 7.88772i | −0.232389 | − | 0.258094i | ||||
\(935\) | −8.72358 | + | 7.71149i | −0.285291 | + | 0.252193i | ||||
\(936\) | −17.5972 | + | 12.9770i | −0.575184 | + | 0.424168i | ||||
\(937\) | −18.1426 | + | 55.8372i | −0.592693 | + | 1.82412i | −0.0268057 | + | 0.999641i | \(0.508534\pi\) |
−0.565888 | + | 0.824482i | \(0.691466\pi\) | |||||||
\(938\) | −40.3348 | − | 44.7964i | −1.31698 | − | 1.46265i | ||||
\(939\) | −10.8064 | − | 3.46886i | −0.352655 | − | 0.113202i | ||||
\(940\) | 16.0513 | + | 5.37812i | 0.523534 | + | 0.175415i | ||||
\(941\) | −53.0535 | + | 11.2769i | −1.72949 | + | 0.367615i | −0.961917 | − | 0.273342i | \(-0.911871\pi\) |
−0.767577 | + | 0.640957i | \(0.778538\pi\) | |||||||
\(942\) | −30.6335 | − | 27.3862i | −0.998093 | − | 0.892291i | ||||
\(943\) | 10.6438 | − | 18.4356i | 0.346610 | − | 0.600346i | ||||
\(944\) | −51.8194 | − | 37.6490i | −1.68658 | − | 1.22537i | ||||
\(945\) | 25.0226 | − | 43.4916i | 0.813984 | − | 1.41478i | ||||
\(946\) | −3.11335 | + | 2.26198i | −0.101224 | + | 0.0735434i | ||||
\(947\) | 0.785593 | + | 7.47442i | 0.0255283 | + | 0.242886i | 0.999843 | + | 0.0176968i | \(0.00563336\pi\) |
−0.974315 | + | 0.225189i | \(0.927700\pi\) | |||||||
\(948\) | −0.443237 | − | 2.04946i | −0.0143957 | − | 0.0665634i | ||||
\(949\) | 0.260789 | + | 0.451699i | 0.00846556 | + | 0.0146628i | ||||
\(950\) | 15.9433 | + | 18.3716i | 0.517270 | + | 0.596054i | ||||
\(951\) | 24.4237 | − | 33.8686i | 0.791994 | − | 1.09826i | ||||
\(952\) | 28.6360 | + | 6.08677i | 0.928098 | + | 0.197273i | ||||
\(953\) | 23.0950 | − | 16.7795i | 0.748119 | − | 0.543540i | −0.147124 | − | 0.989118i | \(-0.547002\pi\) |
0.895243 | + | 0.445578i | \(0.147002\pi\) | |||||||
\(954\) | 2.32059 | − | 23.6963i | 0.0751317 | − | 0.767195i | ||||
\(955\) | 37.6980 | − | 33.3244i | 1.21988 | − | 1.07835i | ||||
\(956\) | −6.04409 | + | 2.69100i | −0.195480 | + | 0.0870332i | ||||
\(957\) | −1.46669 | − | 3.26301i | −0.0474113 | − | 0.105478i | ||||
\(958\) | 3.82571 | − | 36.3992i | 0.123603 | − | 1.17600i | ||||
\(959\) | −42.8543 | + | 9.10895i | −1.38384 | + | 0.294143i | ||||
\(960\) | −5.97705 | + | 6.56398i | −0.192908 | + | 0.211851i | ||||
\(961\) | 24.9773 | + | 5.30909i | 0.805719 | + | 0.171261i | ||||
\(962\) | −7.98519 | + | 24.5759i | −0.257453 | + | 0.792358i | ||||
\(963\) | 9.16848 | − | 16.1439i | 0.295450 | − | 0.520231i | ||||
\(964\) | −1.07834 | − | 3.31880i | −0.0347311 | − | 0.106891i | ||||
\(965\) | 21.4089 | − | 12.1008i | 0.689176 | − | 0.389538i | ||||
\(966\) | −28.4890 | − | 38.9204i | −0.916619 | − | 1.25224i | ||||
\(967\) | −2.72649 | + | 25.9408i | −0.0876779 | + | 0.834199i | 0.858991 | + | 0.511991i | \(0.171092\pi\) |
−0.946669 | + | 0.322208i | \(0.895575\pi\) | |||||||
\(968\) | 5.99937 | + | 10.3912i | 0.192827 | + | 0.333986i | ||||
\(969\) | 19.7221 | + | 17.6315i | 0.633565 | + | 0.566405i | ||||
\(970\) | −6.67404 | − | 0.763231i | −0.214291 | − | 0.0245059i | ||||
\(971\) | 45.5475 | − | 33.0922i | 1.46169 | − | 1.06198i | 0.478769 | − | 0.877941i | \(-0.341083\pi\) |
0.982919 | − | 0.184037i | \(-0.0589167\pi\) | |||||||
\(972\) | 12.7328 | + | 16.8865i | 0.408403 | + | 0.541634i | ||||
\(973\) | −4.56144 | − | 14.0387i | −0.146233 | − | 0.450060i | ||||
\(974\) | 26.8718 | − | 46.5434i | 0.861029 | − | 1.49135i | ||||
\(975\) | 40.3215 | − | 35.2437i | 1.29132 | − | 1.12870i | ||||
\(976\) | 34.4425 | + | 59.6562i | 1.10248 | + | 1.90955i | ||||
\(977\) | −8.02947 | + | 8.91763i | −0.256886 | + | 0.285300i | −0.857768 | − | 0.514037i | \(-0.828149\pi\) |
0.600882 | + | 0.799337i | \(0.294816\pi\) | |||||||
\(978\) | 0.0127807 | + | 3.59989i | 0.000408681 | + | 0.115112i | ||||
\(979\) | 0.565162 | + | 5.37716i | 0.0180627 | + | 0.171855i | ||||
\(980\) | 35.1788 | − | 3.37252i | 1.12374 | − | 0.107731i | ||||
\(981\) | −35.0774 | − | 38.4054i | −1.11993 | − | 1.22619i | ||||
\(982\) | 14.7157 | 0.469597 | ||||||||
\(983\) | −37.8937 | + | 16.8714i | −1.20862 | + | 0.538113i | −0.909341 | − | 0.416051i | \(-0.863414\pi\) |
−0.299281 | + | 0.954165i | \(0.596747\pi\) | |||||||
\(984\) | 12.2746 | − | 1.33419i | 0.391301 | − | 0.0425325i | ||||
\(985\) | −7.68582 | − | 10.7846i | −0.244891 | − | 0.343627i | ||||
\(986\) | −16.0883 | + | 17.8678i | −0.512355 | + | 0.569028i | ||||
\(987\) | −41.4939 | + | 4.51018i | −1.32076 | + | 0.143561i | ||||
\(988\) | −14.9065 | − | 16.5554i | −0.474240 | − | 0.526697i | ||||
\(989\) | 2.52353 | + | 7.76664i | 0.0802437 | + | 0.246965i | ||||
\(990\) | 6.52141 | + | 9.01462i | 0.207264 | + | 0.286504i | ||||
\(991\) | −13.7209 | + | 42.2286i | −0.435858 | + | 1.34143i | 0.456346 | + | 0.889802i | \(0.349158\pi\) |
−0.892204 | + | 0.451632i | \(0.850842\pi\) | |||||||
\(992\) | −14.0314 | + | 6.24718i | −0.445497 | + | 0.198348i | ||||
\(993\) | −17.2982 | + | 23.9876i | −0.548942 | + | 0.761223i | ||||
\(994\) | 4.30440 | − | 40.9536i | 0.136527 | − | 1.29897i | ||||
\(995\) | −0.174579 | + | 19.0923i | −0.00553453 | + | 0.605268i | ||||
\(996\) | −2.11525 | + | 1.23128i | −0.0670244 | + | 0.0390145i | ||||
\(997\) | 3.12986 | + | 29.7786i | 0.0991237 | + | 0.943099i | 0.925184 | + | 0.379518i | \(0.123910\pi\) |
−0.826061 | + | 0.563581i | \(0.809423\pi\) | |||||||
\(998\) | 15.9510 | + | 49.0922i | 0.504921 | + | 1.55399i | ||||
\(999\) | −11.3098 | − | 3.54206i | −0.357827 | − | 0.112066i |
(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 | 225.2.q.a.106.23 | yes | 224 | |
3.2 | odd | 2 | 675.2.r.a.181.6 | 224 | |||
9.4 | even | 3 | inner | 225.2.q.a.31.6 | ✓ | 224 | |
9.5 | odd | 6 | 675.2.r.a.631.23 | 224 | |||
25.21 | even | 5 | inner | 225.2.q.a.196.6 | yes | 224 | |
75.71 | odd | 10 | 675.2.r.a.46.23 | 224 | |||
225.121 | even | 15 | inner | 225.2.q.a.121.23 | yes | 224 | |
225.221 | odd | 30 | 675.2.r.a.496.6 | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.31.6 | ✓ | 224 | 9.4 | even | 3 | inner | |
225.2.q.a.106.23 | yes | 224 | 1.1 | even | 1 | trivial | |
225.2.q.a.121.23 | yes | 224 | 225.121 | even | 15 | inner | |
225.2.q.a.196.6 | yes | 224 | 25.21 | even | 5 | inner | |
675.2.r.a.46.23 | 224 | 75.71 | odd | 10 | |||
675.2.r.a.181.6 | 224 | 3.2 | odd | 2 | |||
675.2.r.a.496.6 | 224 | 225.221 | odd | 30 | |||
675.2.r.a.631.23 | 224 | 9.5 | odd | 6 |