Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [770,2,Mod(3,770)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(770, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([45, 10, 48]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("770.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 770 = 2 \cdot 5 \cdot 7 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 770.bv (of order \(60\), degree \(16\), 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: | \(6.14848095564\) |
Analytic rank: | \(0\) |
Dimension: | \(768\) |
Relative dimension: | \(48\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 3.3 | ||
Character | \(\chi\) | \(=\) | 770.3 |
Dual form | 770.2.bv.a.257.3 |
$q$-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 \(\left(\mathbb{Z}/770\mathbb{Z}\right)^\times\).
\(n\) | \(211\) | \(617\) | \(661\) |
\(\chi(n)\) | \(e\left(\frac{4}{5}\right)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.933580 | + | 0.358368i | −0.660141 | + | 0.253404i | ||||
\(3\) | −2.34572 | + | 1.52333i | −1.35430 | + | 0.879492i | −0.998483 | − | 0.0550635i | \(-0.982464\pi\) |
−0.355817 | + | 0.934556i | \(0.615797\pi\) | |||||||
\(4\) | 0.743145 | − | 0.669131i | 0.371572 | − | 0.334565i | ||||
\(5\) | 2.10146 | + | 0.764123i | 0.939800 | + | 0.341726i | ||||
\(6\) | 1.64400 | − | 2.26278i | 0.671161 | − | 0.923774i | ||||
\(7\) | −0.853423 | + | 2.50433i | −0.322563 | + | 0.946548i | ||||
\(8\) | −0.453990 | + | 0.891007i | −0.160510 | + | 0.315018i | ||||
\(9\) | 1.96165 | − | 4.40594i | 0.653884 | − | 1.46865i | ||||
\(10\) | −2.23572 | + | 0.0397239i | −0.706995 | + | 0.0125618i | ||||
\(11\) | 1.11516 | + | 3.12353i | 0.336234 | + | 0.941778i | ||||
\(12\) | −0.723903 | + | 2.70164i | −0.208973 | + | 0.779897i | ||||
\(13\) | 0.0406102 | − | 0.256402i | 0.0112632 | − | 0.0711132i | −0.981417 | − | 0.191890i | \(-0.938538\pi\) |
0.992680 | + | 0.120776i | \(0.0385384\pi\) | |||||||
\(14\) | −0.100733 | − | 2.64383i | −0.0269220 | − | 0.706594i | ||||
\(15\) | −6.09343 | + | 1.40879i | −1.57332 | + | 0.363747i | ||||
\(16\) | 0.104528 | − | 0.994522i | 0.0261321 | − | 0.248630i | ||||
\(17\) | 6.90848 | + | 2.65192i | 1.67555 | + | 0.643184i | 0.995909 | − | 0.0903596i | \(-0.0288016\pi\) |
0.679642 | + | 0.733544i | \(0.262135\pi\) | |||||||
\(18\) | −0.252411 | + | 4.81629i | −0.0594939 | + | 1.13521i | ||||
\(19\) | 0.602747 | − | 0.669419i | 0.138280 | − | 0.153575i | −0.670027 | − | 0.742337i | \(-0.733718\pi\) |
0.808307 | + | 0.588761i | \(0.200384\pi\) | |||||||
\(20\) | 2.07298 | − | 0.838294i | 0.463533 | − | 0.187448i | ||||
\(21\) | −1.81302 | − | 7.17449i | −0.395634 | − | 1.56560i | ||||
\(22\) | −2.16047 | − | 2.51642i | −0.460613 | − | 0.536503i | ||||
\(23\) | −1.04462 | + | 3.89858i | −0.217819 | + | 0.812910i | 0.767337 | + | 0.641244i | \(0.221581\pi\) |
−0.985155 | + | 0.171665i | \(0.945085\pi\) | |||||||
\(24\) | −0.292360 | − | 2.78162i | −0.0596778 | − | 0.567796i | ||||
\(25\) | 3.83223 | + | 3.21154i | 0.766446 | + | 0.642308i | ||||
\(26\) | 0.0539736 | + | 0.253926i | 0.0105851 | + | 0.0497989i | ||||
\(27\) | 0.797590 | + | 5.03578i | 0.153496 | + | 0.969137i | ||||
\(28\) | 1.04151 | + | 2.43213i | 0.196826 | + | 0.459630i | ||||
\(29\) | 2.50619 | + | 0.814310i | 0.465388 | + | 0.151214i | 0.532319 | − | 0.846544i | \(-0.321321\pi\) |
−0.0669312 | + | 0.997758i | \(0.521321\pi\) | |||||||
\(30\) | 5.18384 | − | 3.49890i | 0.946435 | − | 0.638809i | ||||
\(31\) | 6.33284 | − | 0.665608i | 1.13741 | − | 0.119547i | 0.482954 | − | 0.875646i | \(-0.339564\pi\) |
0.654458 | + | 0.756099i | \(0.272897\pi\) | |||||||
\(32\) | 0.258819 | + | 0.965926i | 0.0457532 | + | 0.170753i | ||||
\(33\) | −7.37400 | − | 5.62815i | −1.28365 | − | 0.979735i | ||||
\(34\) | −7.39998 | −1.26909 | ||||||||
\(35\) | −3.70705 | + | 4.61062i | −0.626605 | + | 0.779337i | ||||
\(36\) | −1.49036 | − | 4.58685i | −0.248393 | − | 0.764475i | ||||
\(37\) | −1.24637 | + | 1.91924i | −0.204901 | + | 0.315521i | −0.926150 | − | 0.377156i | \(-0.876902\pi\) |
0.721248 | + | 0.692677i | \(0.243569\pi\) | |||||||
\(38\) | −0.322815 | + | 0.840962i | −0.0523675 | + | 0.136422i | ||||
\(39\) | 0.295324 | + | 0.663310i | 0.0472898 | + | 0.106215i | ||||
\(40\) | −1.63488 | + | 1.52551i | −0.258497 | + | 0.241204i | ||||
\(41\) | −0.912342 | + | 0.296438i | −0.142484 | + | 0.0462958i | −0.379391 | − | 0.925237i | \(-0.623866\pi\) |
0.236907 | + | 0.971532i | \(0.423866\pi\) | |||||||
\(42\) | 4.26371 | + | 6.04823i | 0.657905 | + | 0.933262i | ||||
\(43\) | 0.665874 | + | 0.665874i | 0.101545 | + | 0.101545i | 0.756054 | − | 0.654509i | \(-0.227125\pi\) |
−0.654509 | + | 0.756054i | \(0.727125\pi\) | |||||||
\(44\) | 2.91877 | + | 1.57504i | 0.440022 | + | 0.237447i | ||||
\(45\) | 7.48900 | − | 7.75994i | 1.11639 | − | 1.15678i | ||||
\(46\) | −0.421888 | − | 4.01399i | −0.0622040 | − | 0.591831i | ||||
\(47\) | −8.19848 | + | 0.429664i | −1.19587 | + | 0.0626730i | −0.639853 | − | 0.768497i | \(-0.721005\pi\) |
−0.556018 | + | 0.831170i | \(0.687672\pi\) | |||||||
\(48\) | 1.26979 | + | 2.49210i | 0.183278 | + | 0.359703i | ||||
\(49\) | −5.54334 | − | 4.27450i | −0.791906 | − | 0.610643i | ||||
\(50\) | −4.72861 | − | 1.62488i | −0.668726 | − | 0.229793i | ||||
\(51\) | −20.2450 | + | 4.30322i | −2.83487 | + | 0.602571i | ||||
\(52\) | −0.141387 | − | 0.217718i | −0.0196069 | − | 0.0301920i | ||||
\(53\) | 1.34130 | − | 1.65637i | 0.184242 | − | 0.227520i | −0.676654 | − | 0.736301i | \(-0.736571\pi\) |
0.860896 | + | 0.508782i | \(0.169904\pi\) | |||||||
\(54\) | −2.54928 | − | 4.41548i | −0.346913 | − | 0.600870i | ||||
\(55\) | −0.0432939 | + | 7.41607i | −0.00583775 | + | 0.999983i | ||||
\(56\) | −1.84393 | − | 1.89735i | −0.246405 | − | 0.253544i | ||||
\(57\) | −0.394131 | + | 2.48845i | −0.0522040 | + | 0.329603i | ||||
\(58\) | −2.63155 | + | 0.137914i | −0.345540 | + | 0.0181090i | ||||
\(59\) | −9.88199 | − | 10.9751i | −1.28653 | − | 1.42883i | −0.847895 | − | 0.530164i | \(-0.822131\pi\) |
−0.438630 | − | 0.898668i | \(-0.644536\pi\) | |||||||
\(60\) | −3.58564 | + | 5.12423i | −0.462904 | + | 0.661535i | ||||
\(61\) | −5.57797 | − | 0.586268i | −0.714186 | − | 0.0750640i | −0.259535 | − | 0.965734i | \(-0.583569\pi\) |
−0.454651 | + | 0.890670i | \(0.650236\pi\) | |||||||
\(62\) | −5.67368 | + | 2.89089i | −0.720559 | + | 0.367143i | ||||
\(63\) | 9.35981 | + | 8.67275i | 1.17923 | + | 1.09266i | ||||
\(64\) | −0.587785 | − | 0.809017i | −0.0734732 | − | 0.101127i | ||||
\(65\) | 0.281263 | − | 0.507787i | 0.0348864 | − | 0.0629832i | ||||
\(66\) | 8.90117 | + | 2.61172i | 1.09566 | + | 0.321481i | ||||
\(67\) | 2.04102 | + | 7.61719i | 0.249350 | + | 0.930588i | 0.971147 | + | 0.238483i | \(0.0766500\pi\) |
−0.721796 | + | 0.692105i | \(0.756683\pi\) | |||||||
\(68\) | 6.90848 | − | 2.65192i | 0.837776 | − | 0.321592i | ||||
\(69\) | −3.48842 | − | 10.7363i | −0.419956 | − | 1.29249i | ||||
\(70\) | 1.80853 | − | 5.63287i | 0.216160 | − | 0.673257i | ||||
\(71\) | −3.07141 | − | 2.23151i | −0.364509 | − | 0.264832i | 0.390421 | − | 0.920636i | \(-0.372329\pi\) |
−0.754930 | + | 0.655805i | \(0.772329\pi\) | |||||||
\(72\) | 3.03515 | + | 3.74810i | 0.357696 | + | 0.441718i | ||||
\(73\) | −9.92760 | − | 0.520283i | −1.16194 | − | 0.0608946i | −0.538401 | − | 0.842689i | \(-0.680971\pi\) |
−0.623537 | + | 0.781794i | \(0.714305\pi\) | |||||||
\(74\) | 0.475791 | − | 2.23842i | 0.0553096 | − | 0.260211i | ||||
\(75\) | −13.8815 | − | 1.69563i | −1.60290 | − | 0.195794i | ||||
\(76\) | − | 0.900792i | − | 0.103328i | ||||||
\(77\) | −8.77404 | + | 0.127048i | −0.999895 | + | 0.0144784i | ||||
\(78\) | −0.513418 | − | 0.513418i | −0.0581331 | − | 0.0581331i | ||||
\(79\) | −6.60452 | + | 14.8340i | −0.743067 | + | 1.66895i | 0.000236421 | 1.00000i | \(0.499925\pi\) | |
−0.743303 | + | 0.668955i | \(0.766742\pi\) | |||||||
\(80\) | 0.979599 | − | 2.01007i | 0.109523 | − | 0.224733i | ||||
\(81\) | 0.139399 | + | 0.154818i | 0.0154888 | + | 0.0172020i | ||||
\(82\) | 0.745511 | − | 0.603703i | 0.0823279 | − | 0.0666678i | ||||
\(83\) | 6.84123 | − | 1.08354i | 0.750923 | − | 0.118934i | 0.230771 | − | 0.973008i | \(-0.425875\pi\) |
0.520152 | + | 0.854074i | \(0.325875\pi\) | |||||||
\(84\) | −6.14801 | − | 4.11853i | −0.670803 | − | 0.449369i | ||||
\(85\) | 12.4915 | + | 10.8518i | 1.35489 | + | 1.17704i | ||||
\(86\) | −0.860275 | − | 0.383019i | −0.0927658 | − | 0.0413020i | ||||
\(87\) | −7.11926 | + | 1.90760i | −0.763265 | + | 0.204516i | ||||
\(88\) | −3.28935 | − | 0.424434i | −0.350646 | − | 0.0452448i | ||||
\(89\) | 0.439881 | + | 0.761896i | 0.0466273 | + | 0.0807609i | 0.888397 | − | 0.459076i | \(-0.151819\pi\) |
−0.841770 | + | 0.539837i | \(0.818486\pi\) | |||||||
\(90\) | −4.21067 | + | 9.92835i | −0.443844 | + | 1.04654i | ||||
\(91\) | 0.607459 | + | 0.320521i | 0.0636790 | + | 0.0335997i | ||||
\(92\) | 1.83235 | + | 3.59620i | 0.191036 | + | 0.374929i | ||||
\(93\) | −13.8411 | + | 11.2083i | −1.43526 | + | 1.16225i | ||||
\(94\) | 7.49997 | − | 3.33920i | 0.773562 | − | 0.344412i | ||||
\(95\) | 1.77817 | − | 0.946181i | 0.182436 | − | 0.0970761i | ||||
\(96\) | −2.07854 | − | 1.87152i | −0.212140 | − | 0.191011i | ||||
\(97\) | −17.1741 | − | 2.72011i | −1.74377 | − | 0.276185i | −0.798384 | − | 0.602149i | \(-0.794311\pi\) |
−0.945382 | + | 0.325963i | \(0.894311\pi\) | |||||||
\(98\) | 6.70700 | + | 2.00404i | 0.677509 | + | 0.202438i | ||||
\(99\) | 15.9496 | + | 1.21393i | 1.60300 | + | 0.122004i | ||||
\(100\) | 4.99684 | − | 0.177623i | 0.499684 | − | 0.0177623i | ||||
\(101\) | 9.13186 | − | 0.959797i | 0.908654 | − | 0.0955034i | 0.361343 | − | 0.932433i | \(-0.382318\pi\) |
0.547311 | + | 0.836929i | \(0.315652\pi\) | |||||||
\(102\) | 17.3582 | − | 11.2726i | 1.71872 | − | 1.11615i | ||||
\(103\) | 3.12402 | − | 4.81058i | 0.307819 | − | 0.474000i | −0.650577 | − | 0.759440i | \(-0.725473\pi\) |
0.958397 | + | 0.285440i | \(0.0921397\pi\) | |||||||
\(104\) | 0.210020 | + | 0.152588i | 0.0205941 | + | 0.0149625i | ||||
\(105\) | 1.67220 | − | 16.4622i | 0.163190 | − | 1.60655i | ||||
\(106\) | −0.658623 | + | 2.02703i | −0.0639711 | + | 0.196883i | ||||
\(107\) | −0.973777 | − | 18.5808i | −0.0941386 | − | 1.79627i | −0.483662 | − | 0.875255i | \(-0.660694\pi\) |
0.389523 | − | 0.921017i | \(-0.372640\pi\) | |||||||
\(108\) | 3.96232 | + | 3.20862i | 0.381274 | + | 0.308750i | ||||
\(109\) | 9.33202 | + | 5.38785i | 0.893846 | + | 0.516062i | 0.875198 | − | 0.483764i | \(-0.160731\pi\) |
0.0186472 | + | 0.999826i | \(0.494064\pi\) | |||||||
\(110\) | −2.61726 | − | 6.93901i | −0.249546 | − | 0.661609i | ||||
\(111\) | − | 6.40061i | − | 0.607519i | ||||||
\(112\) | 2.40140 | + | 1.11052i | 0.226911 | + | 0.104934i | ||||
\(113\) | 5.05734 | − | 9.92558i | 0.475754 | − | 0.933720i | −0.521026 | − | 0.853541i | \(-0.674451\pi\) |
0.996780 | − | 0.0801796i | \(-0.0255494\pi\) | |||||||
\(114\) | −0.523826 | − | 2.46441i | −0.0490608 | − | 0.230813i | ||||
\(115\) | −5.17422 | + | 7.39447i | −0.482498 | + | 0.689538i | ||||
\(116\) | 2.40734 | − | 1.07182i | 0.223516 | − | 0.0995157i | ||||
\(117\) | −1.05003 | − | 0.681898i | −0.0970754 | − | 0.0630415i | ||||
\(118\) | 13.1587 | + | 6.70471i | 1.21136 | + | 0.617219i | ||||
\(119\) | −12.5371 | + | 15.0379i | −1.14928 | + | 1.37852i | ||||
\(120\) | 1.51112 | − | 6.06886i | 0.137946 | − | 0.554008i | ||||
\(121\) | −8.51283 | + | 6.96648i | −0.773893 | + | 0.633316i | ||||
\(122\) | 5.41758 | − | 1.45164i | 0.490485 | − | 0.131425i | ||||
\(123\) | 1.68852 | − | 2.08515i | 0.152249 | − | 0.188012i | ||||
\(124\) | 4.26084 | − | 4.73214i | 0.382635 | − | 0.424959i | ||||
\(125\) | 5.59925 | + | 9.67721i | 0.500812 | + | 0.865556i | ||||
\(126\) | −11.8462 | − | 4.74245i | −1.05534 | − | 0.422491i | ||||
\(127\) | −0.0691378 | + | 0.0109504i | −0.00613499 | + | 0.000971687i | −0.159501 | − | 0.987198i | \(-0.550989\pi\) |
0.153366 | + | 0.988169i | \(0.450989\pi\) | |||||||
\(128\) | 0.838671 | + | 0.544639i | 0.0741287 | + | 0.0481397i | ||||
\(129\) | −2.57629 | − | 0.547608i | −0.226830 | − | 0.0482142i | ||||
\(130\) | −0.0806074 | + | 0.574856i | −0.00706974 | + | 0.0504182i | ||||
\(131\) | 18.0158 | − | 10.4014i | 1.57404 | − | 0.908775i | 0.578379 | − | 0.815768i | \(-0.303685\pi\) |
0.995665 | − | 0.0930069i | \(-0.0296479\pi\) | |||||||
\(132\) | −9.24592 | + | 0.751641i | −0.804754 | + | 0.0654219i | ||||
\(133\) | 1.16205 | + | 2.08078i | 0.100762 | + | 0.180426i | ||||
\(134\) | −4.63521 | − | 6.37983i | −0.400422 | − | 0.551133i | ||||
\(135\) | −2.17186 | + | 11.1919i | −0.186924 | + | 0.963248i | ||||
\(136\) | −5.49926 | + | 4.95155i | −0.471557 | + | 0.424592i | ||||
\(137\) | −3.00953 | + | 7.84010i | −0.257122 | + | 0.669825i | 0.742878 | + | 0.669427i | \(0.233460\pi\) |
−1.00000 | 0.000398242i | \(0.999873\pi\) | ||||||||
\(138\) | 7.10425 | + | 8.77302i | 0.604754 | + | 0.746809i | ||||
\(139\) | −3.82689 | + | 11.7780i | −0.324593 | + | 0.998994i | 0.647031 | + | 0.762463i | \(0.276010\pi\) |
−0.971624 | + | 0.236530i | \(0.923990\pi\) | |||||||
\(140\) | 0.330234 | + | 5.90686i | 0.0279098 | + | 0.499220i | ||||
\(141\) | 18.5768 | − | 13.4968i | 1.56445 | − | 1.13664i | ||||
\(142\) | 3.66711 | + | 0.982599i | 0.307737 | + | 0.0824579i | ||||
\(143\) | 0.846166 | − | 0.159084i | 0.0707600 | − | 0.0133032i | ||||
\(144\) | −4.17675 | − | 2.41145i | −0.348063 | − | 0.200954i | ||||
\(145\) | 4.64441 | + | 3.62627i | 0.385697 | + | 0.301146i | ||||
\(146\) | 9.45466 | − | 3.07201i | 0.782474 | − | 0.254241i | ||||
\(147\) | 19.5146 | + | 1.58246i | 1.60953 | + | 0.130519i | ||||
\(148\) | 0.357989 | + | 2.26025i | 0.0294265 | + | 0.185792i | ||||
\(149\) | −6.07454 | − | 0.638460i | −0.497646 | − | 0.0523047i | −0.147619 | − | 0.989044i | \(-0.547161\pi\) |
−0.350027 | + | 0.936740i | \(0.613828\pi\) | |||||||
\(150\) | 13.5672 | − | 3.39170i | 1.10776 | − | 0.276931i | ||||
\(151\) | 22.7128 | + | 4.82775i | 1.84834 | + | 0.392876i | 0.992282 | − | 0.124006i | \(-0.0395740\pi\) |
0.856057 | + | 0.516882i | \(0.172907\pi\) | |||||||
\(152\) | 0.322815 | + | 0.840962i | 0.0261838 | + | 0.0682110i | ||||
\(153\) | 25.2362 | − | 25.2362i | 2.04023 | − | 2.04023i | ||||
\(154\) | 8.14575 | − | 3.26295i | 0.656403 | − | 0.262936i | ||||
\(155\) | 13.8168 | + | 3.44032i | 1.10979 | + | 0.276333i | ||||
\(156\) | 0.663310 | + | 0.295324i | 0.0531073 | + | 0.0236449i | ||||
\(157\) | 0.485707 | + | 0.747923i | 0.0387636 | + | 0.0596908i | 0.857521 | − | 0.514449i | \(-0.172003\pi\) |
−0.818758 | + | 0.574139i | \(0.805337\pi\) | |||||||
\(158\) | 0.849822 | − | 16.2156i | 0.0676082 | − | 1.29004i | ||||
\(159\) | −0.623122 | + | 5.92861i | −0.0494168 | + | 0.470169i | ||||
\(160\) | −0.194190 | + | 2.22762i | −0.0153520 | + | 0.176109i | ||||
\(161\) | −8.87182 | − | 5.94321i | −0.699198 | − | 0.468391i | ||||
\(162\) | −0.185622 | − | 0.0945791i | −0.0145838 | − | 0.00743084i | ||||
\(163\) | −3.48433 | − | 9.07698i | −0.272913 | − | 0.710964i | −0.999709 | − | 0.0241103i | \(-0.992325\pi\) |
0.726796 | − | 0.686854i | \(-0.241009\pi\) | |||||||
\(164\) | −0.479647 | + | 0.830772i | −0.0374541 | + | 0.0648724i | ||||
\(165\) | −11.1955 | − | 17.4619i | −0.871571 | − | 1.35941i | ||||
\(166\) | −5.99853 | + | 3.46325i | −0.465576 | + | 0.268801i | ||||
\(167\) | 21.6269 | + | 3.42537i | 1.67354 | + | 0.265063i | 0.919880 | − | 0.392200i | \(-0.128286\pi\) |
0.753661 | + | 0.657263i | \(0.228286\pi\) | |||||||
\(168\) | 7.21561 | + | 1.64173i | 0.556696 | + | 0.126662i | ||||
\(169\) | 12.2996 | + | 3.99640i | 0.946126 | + | 0.307415i | ||||
\(170\) | −15.5507 | − | 5.65450i | −1.19269 | − | 0.433680i | ||||
\(171\) | −1.76704 | − | 3.96883i | −0.135129 | − | 0.303504i | ||||
\(172\) | 0.940397 | + | 0.0492841i | 0.0717046 | + | 0.00375788i | ||||
\(173\) | −0.999671 | − | 19.0749i | −0.0760036 | − | 1.45024i | −0.724635 | − | 0.689133i | \(-0.757992\pi\) |
0.648632 | − | 0.761103i | \(-0.275342\pi\) | |||||||
\(174\) | 5.96278 | − | 4.33222i | 0.452037 | − | 0.328424i | ||||
\(175\) | −11.3133 | + | 6.85637i | −0.855203 | + | 0.518293i | ||||
\(176\) | 3.22298 | − | 0.782556i | 0.242941 | − | 0.0589874i | ||||
\(177\) | 39.8989 | + | 10.6909i | 2.99899 | + | 0.803576i | ||||
\(178\) | −0.683704 | − | 0.553652i | −0.0512458 | − | 0.0414980i | ||||
\(179\) | −1.60195 | + | 7.53657i | −0.119735 | + | 0.563309i | 0.876852 | + | 0.480761i | \(0.159639\pi\) |
−0.996587 | + | 0.0825488i | \(0.973694\pi\) | |||||||
\(180\) | 0.372997 | − | 10.7779i | 0.0278016 | − | 0.803336i | ||||
\(181\) | 3.40864 | − | 4.69160i | 0.253363 | − | 0.348724i | −0.663323 | − | 0.748333i | \(-0.730854\pi\) |
0.916685 | + | 0.399610i | \(0.130854\pi\) | |||||||
\(182\) | −0.681976 | − | 0.0815383i | −0.0505514 | − | 0.00604402i | ||||
\(183\) | 13.9774 | − | 7.12185i | 1.03324 | − | 0.526462i | ||||
\(184\) | −2.99941 | − | 2.70068i | −0.221119 | − | 0.199097i | ||||
\(185\) | −4.08572 | + | 3.08081i | −0.300388 | + | 0.226506i | ||||
\(186\) | 8.90509 | − | 15.4241i | 0.652953 | − | 1.13095i | ||||
\(187\) | −0.579253 | + | 24.5361i | −0.0423592 | + | 1.79426i | ||||
\(188\) | −5.80516 | + | 5.80516i | −0.423385 | + | 0.423385i | ||||
\(189\) | −13.2919 | − | 2.30022i | −0.966847 | − | 0.167317i | ||||
\(190\) | −1.32098 | + | 1.52057i | −0.0958339 | + | 0.110314i | ||||
\(191\) | −10.8617 | + | 2.30873i | −0.785926 | + | 0.167054i | −0.583359 | − | 0.812215i | \(-0.698262\pi\) |
−0.202567 | + | 0.979268i | \(0.564928\pi\) | |||||||
\(192\) | 2.61117 | + | 1.00234i | 0.188445 | + | 0.0723373i | ||||
\(193\) | −13.8070 | − | 5.30003i | −0.993853 | − | 0.381504i | −0.193544 | − | 0.981092i | \(-0.561998\pi\) |
−0.800309 | + | 0.599587i | \(0.795331\pi\) | |||||||
\(194\) | 17.0082 | − | 3.61521i | 1.22112 | − | 0.259557i | ||||
\(195\) | 0.113761 | + | 1.61958i | 0.00814660 | + | 0.115981i | ||||
\(196\) | −6.97971 | + | 0.532643i | −0.498550 | + | 0.0380459i | ||||
\(197\) | −8.92222 | + | 8.92222i | −0.635682 | + | 0.635682i | −0.949487 | − | 0.313806i | \(-0.898396\pi\) |
0.313806 | + | 0.949487i | \(0.398396\pi\) | |||||||
\(198\) | −15.3253 | + | 4.58253i | −1.08912 | + | 0.325667i | ||||
\(199\) | −7.31388 | + | 12.6680i | −0.518467 | + | 0.898011i | 0.481303 | + | 0.876555i | \(0.340164\pi\) |
−0.999770 | + | 0.0214570i | \(0.993170\pi\) | |||||||
\(200\) | −4.60130 | + | 1.95653i | −0.325361 | + | 0.138348i | ||||
\(201\) | −16.3911 | − | 14.7586i | −1.15614 | − | 1.04099i | ||||
\(202\) | −8.18137 | + | 4.16861i | −0.575639 | + | 0.293303i | ||||
\(203\) | −4.17814 | + | 5.58137i | −0.293248 | + | 0.391736i | ||||
\(204\) | −12.1656 | + | 16.7445i | −0.851762 | + | 1.17235i | ||||
\(205\) | −2.14376 | − | 0.0741906i | −0.149727 | − | 0.00518170i | ||||
\(206\) | −1.19257 | + | 5.61061i | −0.0830904 | + | 0.390910i | ||||
\(207\) | 15.1277 | + | 12.2502i | 1.05145 | + | 0.851447i | ||||
\(208\) | −0.250753 | − | 0.0671890i | −0.0173866 | − | 0.00465872i | ||||
\(209\) | 2.76311 | + | 1.13619i | 0.191128 | + | 0.0785917i | ||||
\(210\) | 4.33840 | + | 15.9681i | 0.299378 | + | 1.10190i | ||||
\(211\) | 4.31447 | − | 3.13465i | 0.297020 | − | 0.215798i | −0.429287 | − | 0.903168i | \(-0.641235\pi\) |
0.726307 | + | 0.687370i | \(0.241235\pi\) | |||||||
\(212\) | −0.111546 | − | 2.12843i | −0.00766103 | − | 0.146181i | ||||
\(213\) | 10.6040 | + | 0.555731i | 0.726572 | + | 0.0380780i | ||||
\(214\) | 7.56785 | + | 16.9977i | 0.517328 | + | 1.16194i | ||||
\(215\) | 0.890495 | + | 1.90811i | 0.0607312 | + | 0.130132i | ||||
\(216\) | −4.84901 | − | 1.57554i | −0.329934 | − | 0.107202i | ||||
\(217\) | −3.73769 | + | 16.4276i | −0.253731 | + | 1.11518i | ||||
\(218\) | −10.6430 | − | 1.68569i | −0.720837 | − | 0.114169i | ||||
\(219\) | 24.0799 | − | 13.9025i | 1.62717 | − | 0.939446i | ||||
\(220\) | 4.93015 | + | 5.54018i | 0.332390 | + | 0.373519i | ||||
\(221\) | 0.960512 | − | 1.66366i | 0.0646110 | − | 0.111910i | ||||
\(222\) | 2.29377 | + | 5.97548i | 0.153948 | + | 0.401048i | ||||
\(223\) | −15.0546 | − | 7.67071i | −1.00813 | − | 0.513669i | −0.129708 | − | 0.991552i | \(-0.541404\pi\) |
−0.878423 | + | 0.477884i | \(0.841404\pi\) | |||||||
\(224\) | −2.63988 | − | 0.176175i | −0.176384 | − | 0.0117712i | ||||
\(225\) | 21.6674 | − | 10.5847i | 1.44449 | − | 0.705644i | ||||
\(226\) | −1.16442 | + | 11.0787i | −0.0774561 | + | 0.736945i | ||||
\(227\) | 0.632194 | − | 12.0630i | 0.0419602 | − | 0.800648i | −0.893898 | − | 0.448271i | \(-0.852040\pi\) |
0.935858 | − | 0.352377i | \(-0.114627\pi\) | |||||||
\(228\) | 1.37220 | + | 2.11300i | 0.0908761 | + | 0.139937i | ||||
\(229\) | −16.8687 | − | 7.51041i | −1.11471 | − | 0.496302i | −0.235090 | − | 0.971974i | \(-0.575538\pi\) |
−0.879623 | + | 0.475672i | \(0.842205\pi\) | |||||||
\(230\) | 2.18061 | − | 8.75761i | 0.143785 | − | 0.577459i | ||||
\(231\) | 20.3879 | − | 13.6637i | 1.34142 | − | 0.899008i | ||||
\(232\) | −1.86334 | + | 1.86334i | −0.122334 | + | 0.122334i | ||||
\(233\) | 9.23460 | + | 24.0570i | 0.604979 | + | 1.57602i | 0.803099 | + | 0.595846i | \(0.203183\pi\) |
−0.198120 | + | 0.980178i | \(0.563484\pi\) | |||||||
\(234\) | 1.22466 | + | 0.260309i | 0.0800584 | + | 0.0170169i | ||||
\(235\) | −17.5571 | − | 5.36173i | −1.14530 | − | 0.349761i | ||||
\(236\) | −14.6875 | − | 1.54372i | −0.956075 | − | 0.100488i | ||||
\(237\) | −7.10468 | − | 44.8572i | −0.461498 | − | 2.91379i | ||||
\(238\) | 6.31531 | − | 18.5320i | 0.409361 | − | 1.20125i | ||||
\(239\) | −13.8064 | + | 4.48599i | −0.893065 | + | 0.290174i | −0.719372 | − | 0.694625i | \(-0.755570\pi\) |
−0.173693 | + | 0.984800i | \(0.555570\pi\) | |||||||
\(240\) | 0.764131 | + | 6.20730i | 0.0493245 | + | 0.400680i | ||||
\(241\) | 3.85655 | + | 2.22658i | 0.248422 | + | 0.143427i | 0.619042 | − | 0.785358i | \(-0.287521\pi\) |
−0.370619 | + | 0.928785i | \(0.620855\pi\) | |||||||
\(242\) | 5.45084 | − | 9.55449i | 0.350394 | − | 0.614186i | ||||
\(243\) | −15.3373 | − | 4.10962i | −0.983888 | − | 0.263632i | ||||
\(244\) | −4.53753 | + | 3.29671i | −0.290486 | + | 0.211050i | ||||
\(245\) | −8.38283 | − | 13.2185i | −0.535560 | − | 0.844497i | ||||
\(246\) | −0.829121 | + | 2.55177i | −0.0528628 | + | 0.162695i | ||||
\(247\) | −0.147163 | − | 0.181731i | −0.00936376 | − | 0.0115633i | ||||
\(248\) | −2.28199 | + | 5.94478i | −0.144906 | + | 0.377494i | ||||
\(249\) | −14.3970 | + | 12.9631i | −0.912372 | + | 0.821504i | ||||
\(250\) | −8.69535 | − | 7.02786i | −0.549942 | − | 0.444481i | ||||
\(251\) | 1.13528 | + | 1.56258i | 0.0716583 | + | 0.0986291i | 0.843342 | − | 0.537378i | \(-0.180585\pi\) |
−0.771683 | + | 0.636007i | \(0.780585\pi\) | |||||||
\(252\) | 12.7589 | + | 0.182173i | 0.803735 | + | 0.0114758i | ||||
\(253\) | −13.3422 | + | 1.08465i | −0.838819 | + | 0.0681912i | ||||
\(254\) | 0.0606215 | − | 0.0349998i | 0.00380373 | − | 0.00219608i | ||||
\(255\) | −45.8323 | − | 6.42669i | −2.87013 | − | 0.402455i | ||||
\(256\) | −0.978148 | − | 0.207912i | −0.0611342 | − | 0.0129945i | ||||
\(257\) | −10.9652 | − | 7.12089i | −0.683991 | − | 0.444189i | 0.155303 | − | 0.987867i | \(-0.450365\pi\) |
−0.839294 | + | 0.543678i | \(0.817031\pi\) | |||||||
\(258\) | 2.60142 | − | 0.412025i | 0.161957 | − | 0.0256515i | ||||
\(259\) | −3.74273 | − | 4.75923i | −0.232562 | − | 0.295724i | ||||
\(260\) | −0.130756 | − | 0.565561i | −0.00810917 | − | 0.0350746i | ||||
\(261\) | 8.50407 | − | 9.44472i | 0.526389 | − | 0.584614i | ||||
\(262\) | −13.0916 | + | 16.1668i | −0.808804 | + | 0.998790i | ||||
\(263\) | 15.7573 | − | 4.22216i | 0.971637 | − | 0.260349i | 0.262118 | − | 0.965036i | \(-0.415579\pi\) |
0.709519 | + | 0.704686i | \(0.248912\pi\) | |||||||
\(264\) | 8.36244 | − | 4.01516i | 0.514673 | − | 0.247116i | ||||
\(265\) | 4.08436 | − | 2.45587i | 0.250900 | − | 0.150863i | ||||
\(266\) | −1.83055 | − | 1.52613i | −0.112238 | − | 0.0935731i | ||||
\(267\) | −2.19245 | − | 1.11711i | −0.134176 | − | 0.0683660i | ||||
\(268\) | 6.61367 | + | 4.29497i | 0.403994 | + | 0.262357i | ||||
\(269\) | 12.1632 | − | 5.41541i | 0.741604 | − | 0.330183i | −0.000922920 | − | 1.00000i | \(-0.500294\pi\) |
0.742527 | + | 0.669816i | \(0.233627\pi\) | |||||||
\(270\) | −1.98322 | − | 11.2269i | −0.120695 | − | 0.683247i | ||||
\(271\) | 0.370506 | + | 1.74309i | 0.0225066 | + | 0.105885i | 0.987967 | − | 0.154664i | \(-0.0494296\pi\) |
−0.965460 | + | 0.260550i | \(0.916096\pi\) | |||||||
\(272\) | 3.35952 | − | 6.59343i | 0.203701 | − | 0.399785i | ||||
\(273\) | −1.91318 | + | 0.173507i | −0.115791 | + | 0.0105011i | ||||
\(274\) | − | 8.39788i | − | 0.507335i | ||||||
\(275\) | −5.75777 | + | 15.5515i | −0.347207 | + | 0.937789i | ||||
\(276\) | −9.77636 | − | 5.64438i | −0.588467 | − | 0.339752i | ||||
\(277\) | 1.48665 | + | 1.20387i | 0.0893241 | + | 0.0723332i | 0.672942 | − | 0.739695i | \(-0.265030\pi\) |
−0.583618 | + | 0.812028i | \(0.698364\pi\) | |||||||
\(278\) | −0.648133 | − | 12.3671i | −0.0388724 | − | 0.741730i | ||||
\(279\) | 9.49019 | − | 29.2078i | 0.568163 | − | 1.74863i | ||||
\(280\) | −2.42513 | − | 5.39618i | −0.144929 | − | 0.322483i | ||||
\(281\) | 3.96011 | + | 2.87719i | 0.236241 | + | 0.171639i | 0.699607 | − | 0.714528i | \(-0.253359\pi\) |
−0.463366 | + | 0.886167i | \(0.653359\pi\) | |||||||
\(282\) | −12.5061 | + | 19.2577i | −0.744727 | + | 1.14678i | ||||
\(283\) | 14.0577 | − | 9.12919i | 0.835645 | − | 0.542674i | −0.0544147 | − | 0.998518i | \(-0.517329\pi\) |
0.890060 | + | 0.455844i | \(0.150663\pi\) | |||||||
\(284\) | −3.77567 | + | 0.396839i | −0.224045 | + | 0.0235481i | ||||
\(285\) | −2.72973 | + | 4.92820i | −0.161695 | + | 0.291921i | ||||
\(286\) | −0.732954 | + | 0.451756i | −0.0433405 | + | 0.0267129i | ||||
\(287\) | 0.0362349 | − | 2.53779i | 0.00213888 | − | 0.149801i | ||||
\(288\) | 4.76352 | + | 0.754468i | 0.280693 | + | 0.0444575i | ||||
\(289\) | 28.0609 | + | 25.2662i | 1.65064 | + | 1.48625i | ||||
\(290\) | −5.63547 | − | 1.72101i | −0.330926 | − | 0.101061i | ||||
\(291\) | 44.4292 | − | 19.7811i | 2.60448 | − | 1.15959i | ||||
\(292\) | −7.72578 | + | 6.25621i | −0.452117 | + | 0.366117i | ||||
\(293\) | 7.43004 | + | 14.5823i | 0.434068 | + | 0.851906i | 0.999630 | + | 0.0272003i | \(0.00865919\pi\) |
−0.565562 | + | 0.824706i | \(0.691341\pi\) | |||||||
\(294\) | −18.7855 | + | 5.51604i | −1.09559 | + | 0.321702i | ||||
\(295\) | −12.3803 | − | 30.6147i | −0.720807 | − | 1.78245i | ||||
\(296\) | −1.14421 | − | 1.98184i | −0.0665061 | − | 0.115192i | ||||
\(297\) | −14.8400 | + | 8.10701i | −0.861101 | + | 0.470416i | ||||
\(298\) | 5.89988 | − | 1.58087i | 0.341771 | − | 0.0915772i | ||||
\(299\) | 0.957183 | + | 0.426165i | 0.0553553 | + | 0.0246458i | ||||
\(300\) | −11.4506 | + | 8.02847i | −0.661101 | + | 0.463524i | ||||
\(301\) | −2.23584 | + | 1.09930i | −0.128872 | + | 0.0633624i | ||||
\(302\) | −22.9343 | + | 3.63244i | −1.31972 | + | 0.209023i | ||||
\(303\) | −19.9587 | + | 16.1622i | −1.14660 | + | 0.928495i | ||||
\(304\) | −0.602747 | − | 0.669419i | −0.0345699 | − | 0.0383938i | ||||
\(305\) | −11.2739 | − | 5.49427i | −0.645540 | − | 0.314601i | ||||
\(306\) | −14.5162 | + | 32.6039i | −0.829834 | + | 1.86384i | ||||
\(307\) | 6.37837 | + | 6.37837i | 0.364033 | + | 0.364033i | 0.865295 | − | 0.501263i | \(-0.167131\pi\) |
−0.501263 | + | 0.865295i | \(0.667131\pi\) | |||||||
\(308\) | −6.43537 | + | 5.96540i | −0.366689 | + | 0.339910i | ||||
\(309\) | 16.0431i | 0.912663i | ||||||||
\(310\) | −14.1320 | + | 1.73968i | −0.802643 | + | 0.0988070i | ||||
\(311\) | 7.16444 | − | 33.7061i | 0.406258 | − | 1.91130i | −0.00546214 | − | 0.999985i | \(-0.501739\pi\) |
0.411720 | − | 0.911310i | \(-0.364928\pi\) | |||||||
\(312\) | −0.725088 | − | 0.0380002i | −0.0410500 | − | 0.00215134i | ||||
\(313\) | 11.0822 | + | 13.6854i | 0.626405 | + | 0.773546i | 0.987267 | − | 0.159073i | \(-0.0508506\pi\) |
−0.360861 | + | 0.932619i | \(0.617517\pi\) | |||||||
\(314\) | −0.721478 | − | 0.524185i | −0.0407154 | − | 0.0295815i | ||||
\(315\) | 13.0422 | + | 25.3774i | 0.734843 | + | 1.42986i | ||||
\(316\) | 5.01777 | + | 15.4431i | 0.282271 | + | 0.868742i | ||||
\(317\) | 5.63817 | − | 2.16429i | 0.316671 | − | 0.121559i | −0.194841 | − | 0.980835i | \(-0.562419\pi\) |
0.511512 | + | 0.859276i | \(0.329086\pi\) | |||||||
\(318\) | −1.54289 | − | 5.75814i | −0.0865210 | − | 0.322901i | ||||
\(319\) | 0.251289 | + | 8.73623i | 0.0140695 | + | 0.489135i | ||||
\(320\) | −0.617016 | − | 2.14925i | −0.0344922 | − | 0.120147i | ||||
\(321\) | 30.5888 | + | 42.1018i | 1.70730 | + | 2.34990i | ||||
\(322\) | 10.4124 | + | 2.36909i | 0.580261 | + | 0.132024i | ||||
\(323\) | 5.93931 | − | 3.02623i | 0.330472 | − | 0.168384i | ||||
\(324\) | 0.207187 | + | 0.0217763i | 0.0115104 | + | 0.00120979i | ||||
\(325\) | 0.979075 | − | 0.852172i | 0.0543093 | − | 0.0472700i | ||||
\(326\) | 6.50580 | + | 7.22542i | 0.360323 | + | 0.400179i | ||||
\(327\) | −30.0977 | + | 1.57735i | −1.66441 | + | 0.0872279i | ||||
\(328\) | 0.150067 | − | 0.947483i | 0.00828604 | − | 0.0523160i | ||||
\(329\) | 5.92075 | − | 20.8984i | 0.326422 | − | 1.15217i | ||||
\(330\) | 16.7097 | + | 12.2900i | 0.919841 | + | 0.676543i | ||||
\(331\) | 1.65589 | + | 2.86809i | 0.0910162 | + | 0.157645i | 0.907939 | − | 0.419102i | \(-0.137655\pi\) |
−0.816923 | + | 0.576747i | \(0.804322\pi\) | |||||||
\(332\) | 4.35899 | − | 5.38291i | 0.239231 | − | 0.295425i | ||||
\(333\) | 6.01111 | + | 9.25629i | 0.329407 | + | 0.507242i | ||||
\(334\) | −21.4180 | + | 4.55254i | −1.17194 | + | 0.249104i | ||||
\(335\) | −1.53136 | + | 17.5668i | −0.0836671 | + | 0.959776i | ||||
\(336\) | −7.32470 | + | 1.05315i | −0.399595 | + | 0.0574542i | ||||
\(337\) | 5.31638 | + | 10.4340i | 0.289602 | + | 0.568375i | 0.989271 | − | 0.146092i | \(-0.0466694\pi\) |
−0.699669 | + | 0.714467i | \(0.746669\pi\) | |||||||
\(338\) | −12.9149 | + | 0.676840i | −0.702477 | + | 0.0368153i | ||||
\(339\) | 3.25682 | + | 30.9866i | 0.176886 | + | 1.68296i | ||||
\(340\) | 16.5442 | − | 0.293956i | 0.897238 | − | 0.0159420i | ||||
\(341\) | 9.14119 | + | 19.0385i | 0.495023 | + | 1.03099i | ||||
\(342\) | 3.07198 | + | 3.07198i | 0.166113 | + | 0.166113i | ||||
\(343\) | 15.4356 | − | 10.2344i | 0.833443 | − | 0.552605i | ||||
\(344\) | −0.895598 | + | 0.290998i | −0.0482874 | + | 0.0156895i | ||||
\(345\) | 0.873060 | − | 25.2273i | 0.0470039 | − | 1.35819i | ||||
\(346\) | 7.76909 | + | 17.4497i | 0.417669 | + | 0.938100i | ||||
\(347\) | 4.00357 | − | 10.4297i | 0.214923 | − | 0.559893i | −0.783158 | − | 0.621823i | \(-0.786392\pi\) |
0.998080 | + | 0.0619301i | \(0.0197256\pi\) | |||||||
\(348\) | −4.01421 | + | 6.18134i | −0.215184 | + | 0.331355i | ||||
\(349\) | −3.48328 | − | 10.7204i | −0.186456 | − | 0.573852i | 0.813515 | − | 0.581545i | \(-0.197551\pi\) |
−0.999970 | + | 0.00769235i | \(0.997551\pi\) | |||||||
\(350\) | 8.10475 | − | 10.4553i | 0.433217 | − | 0.558859i | ||||
\(351\) | 1.32358 | 0.0706473 | ||||||||
\(352\) | −2.72847 | + | 1.88559i | −0.145428 | + | 0.100502i | ||||
\(353\) | −4.32311 | − | 16.1341i | −0.230096 | − | 0.858730i | −0.980299 | − | 0.197522i | \(-0.936711\pi\) |
0.750203 | − | 0.661208i | \(-0.229956\pi\) | |||||||
\(354\) | −41.0801 | + | 4.31770i | −2.18338 | + | 0.229483i | ||||
\(355\) | −4.74928 | − | 7.03636i | −0.252066 | − | 0.373451i | ||||
\(356\) | 0.836704 | + | 0.271861i | 0.0443452 | + | 0.0144086i | ||||
\(357\) | 6.50090 | − | 54.3728i | 0.344064 | − | 2.87771i | ||||
\(358\) | −1.20532 | − | 7.61008i | −0.0637030 | − | 0.402205i | ||||
\(359\) | 1.10114 | + | 5.18044i | 0.0581157 | + | 0.273413i | 0.997605 | − | 0.0691646i | \(-0.0220334\pi\) |
−0.939490 | + | 0.342578i | \(0.888700\pi\) | |||||||
\(360\) | 3.51422 | + | 10.1957i | 0.185216 | + | 0.537360i | ||||
\(361\) | 1.90122 | + | 18.0889i | 0.100064 | + | 0.952049i | ||||
\(362\) | −1.50093 | + | 5.60153i | −0.0788869 | + | 0.294410i | ||||
\(363\) | 9.35645 | − | 29.3092i | 0.491086 | − | 1.53833i | ||||
\(364\) | 0.665900 | − | 0.168276i | 0.0349027 | − | 0.00882005i | ||||
\(365\) | −20.4648 | − | 8.67926i | −1.07118 | − | 0.454293i | ||||
\(366\) | −10.4968 | + | 11.6579i | −0.548676 | + | 0.609367i | ||||
\(367\) | −1.36534 | + | 26.0522i | −0.0712701 | + | 1.35991i | 0.695747 | + | 0.718287i | \(0.255074\pi\) |
−0.767017 | + | 0.641627i | \(0.778260\pi\) | |||||||
\(368\) | 3.76803 | + | 1.44641i | 0.196422 | + | 0.0753994i | ||||
\(369\) | −0.483609 | + | 4.60123i | −0.0251757 | + | 0.239531i | ||||
\(370\) | 2.71028 | − | 4.34038i | 0.140901 | − | 0.225645i | ||||
\(371\) | 3.00340 | + | 4.77265i | 0.155929 | + | 0.247783i | ||||
\(372\) | −2.78613 | + | 17.5909i | −0.144454 | + | 0.912046i | ||||
\(373\) | 3.95704 | − | 14.7679i | 0.204888 | − | 0.764652i | −0.784596 | − | 0.620007i | \(-0.787130\pi\) |
0.989484 | − | 0.144644i | \(-0.0462038\pi\) | |||||||
\(374\) | −8.25218 | − | 23.1140i | −0.426710 | − | 1.19520i | ||||
\(375\) | −27.8758 | − | 14.1705i | −1.43950 | − | 0.731761i | ||||
\(376\) | 3.33920 | − | 7.49997i | 0.172206 | − | 0.386781i | ||||
\(377\) | 0.310568 | − | 0.609524i | 0.0159951 | − | 0.0313921i | ||||
\(378\) | 13.2334 | − | 2.61596i | 0.680654 | − | 0.134551i | ||||
\(379\) | 11.7296 | − | 16.1443i | 0.602507 | − | 0.829279i | −0.393428 | − | 0.919355i | \(-0.628711\pi\) |
0.995935 | + | 0.0900759i | \(0.0287110\pi\) | |||||||
\(380\) | 0.688316 | − | 1.89297i | 0.0353099 | − | 0.0971075i | ||||
\(381\) | 0.145497 | − | 0.131006i | 0.00745402 | − | 0.00671163i | ||||
\(382\) | 9.31291 | − | 6.04787i | 0.476490 | − | 0.309436i | ||||
\(383\) | −4.10694 | + | 1.57651i | −0.209855 | + | 0.0805558i | −0.461025 | − | 0.887387i | \(-0.652518\pi\) |
0.251170 | + | 0.967943i | \(0.419185\pi\) | |||||||
\(384\) | −2.79694 | −0.142731 | ||||||||
\(385\) | −18.5353 | − | 6.43747i | −0.944649 | − | 0.328084i | ||||
\(386\) | 14.7893 | 0.752758 | ||||||||
\(387\) | 4.24001 | − | 1.62759i | 0.215532 | − | 0.0827350i | ||||
\(388\) | −14.5830 | + | 9.47028i | −0.740338 | + | 0.480781i | ||||
\(389\) | 13.0036 | − | 11.7085i | 0.659307 | − | 0.593643i | −0.270040 | − | 0.962849i | \(-0.587037\pi\) |
0.929348 | + | 0.369206i | \(0.120370\pi\) | |||||||
\(390\) | −0.686611 | − | 1.47124i | −0.0347679 | − | 0.0744991i | ||||
\(391\) | −17.5554 | + | 24.1630i | −0.887817 | + | 1.22197i | ||||
\(392\) | 6.32523 | − | 2.99857i | 0.319473 | − | 0.151451i | ||||
\(393\) | −26.4151 | + | 51.8426i | −1.33247 | + | 2.61511i | ||||
\(394\) | 5.13217 | − | 11.5270i | 0.258555 | − | 0.580724i | ||||
\(395\) | −25.2141 | + | 26.1263i | −1.26866 | + | 1.31456i | ||||
\(396\) | 12.6652 | − | 9.77026i | 0.636448 | − | 0.490974i | ||||
\(397\) | 7.12923 | − | 26.6066i | 0.357806 | − | 1.33535i | −0.519111 | − | 0.854707i | \(-0.673737\pi\) |
0.876917 | − | 0.480642i | \(-0.159596\pi\) | |||||||
\(398\) | 2.28829 | − | 14.4477i | 0.114701 | − | 0.724196i | ||||
\(399\) | −5.89553 | − | 3.11073i | −0.295146 | − | 0.155731i | ||||
\(400\) | 3.59453 | − | 3.47554i | 0.179726 | − | 0.173777i | ||||
\(401\) | 2.49308 | − | 23.7200i | 0.124498 | − | 1.18452i | −0.736688 | − | 0.676232i | \(-0.763611\pi\) |
0.861187 | − | 0.508289i | \(-0.169722\pi\) | |||||||
\(402\) | 20.5914 | + | 7.90432i | 1.02701 | + | 0.394231i | ||||
\(403\) | 0.0865140 | − | 1.65079i | 0.00430957 | − | 0.0822315i | ||||
\(404\) | 6.14407 | − | 6.82368i | 0.305679 | − | 0.339491i | ||||
\(405\) | 0.174641 | + | 0.431862i | 0.00867796 | + | 0.0214594i | ||||
\(406\) | 1.90044 | − | 6.70797i | 0.0943174 | − | 0.332911i | ||||
\(407\) | −7.38469 | − | 1.75280i | −0.366045 | − | 0.0868830i | ||||
\(408\) | 5.35686 | − | 19.9921i | 0.265204 | − | 0.989756i | ||||
\(409\) | 1.43158 | + | 13.6205i | 0.0707869 | + | 0.673492i | 0.971169 | + | 0.238392i | \(0.0766204\pi\) |
−0.900382 | + | 0.435100i | \(0.856713\pi\) | |||||||
\(410\) | 2.02796 | − | 0.698992i | 0.100154 | − | 0.0345208i | ||||
\(411\) | −4.88352 | − | 22.9751i | −0.240886 | − | 1.13328i | ||||
\(412\) | −0.897301 | − | 5.66533i | −0.0442068 | − | 0.279111i | ||||
\(413\) | 35.9187 | − | 15.3814i | 1.76744 | − | 0.756869i | ||||
\(414\) | −18.5130 | − | 6.01524i | −0.909865 | − | 0.295633i | ||||
\(415\) | 15.2045 | + | 2.95052i | 0.746360 | + | 0.144835i | ||||
\(416\) | 0.258176 | − | 0.0271354i | 0.0126581 | − | 0.00133042i | ||||
\(417\) | −8.96487 | − | 33.4574i | −0.439012 | − | 1.63841i | ||||
\(418\) | −2.98676 | − | 0.0705119i | −0.146087 | − | 0.00344885i | ||||
\(419\) | −24.8652 | −1.21474 | −0.607371 | − | 0.794418i | \(-0.707776\pi\) | ||||
−0.607371 | + | 0.794418i | \(0.707776\pi\) | |||||||
\(420\) | −9.77270 | − | 13.3527i | −0.476859 | − | 0.651547i | ||||
\(421\) | 11.2911 | + | 34.7505i | 0.550295 | + | 1.69364i | 0.708055 | + | 0.706158i | \(0.249573\pi\) |
−0.157759 | + | 0.987478i | \(0.550427\pi\) | |||||||
\(422\) | −2.90455 | + | 4.47261i | −0.141391 | + | 0.217723i | ||||
\(423\) | −14.1895 | + | 36.9649i | −0.689916 | + | 1.79729i | ||||
\(424\) | 0.866898 | + | 1.94708i | 0.0421003 | + | 0.0945588i | ||||
\(425\) | 17.9581 | + | 32.3496i | 0.871098 | + | 1.56919i | ||||
\(426\) | −10.0988 | + | 3.28130i | −0.489289 | + | 0.158980i | ||||
\(427\) | 6.22858 | − | 13.4687i | 0.301422 | − | 0.651798i | ||||
\(428\) | −13.1566 | − | 13.1566i | −0.635949 | − | 0.635949i | ||||
\(429\) | −1.74253 | + | 1.66215i | −0.0841301 | + | 0.0802494i | ||||
\(430\) | −1.51516 | − | 1.46225i | −0.0730673 | − | 0.0705161i | ||||
\(431\) | −0.833272 | − | 7.92806i | −0.0401373 | − | 0.381881i | −0.996089 | − | 0.0883566i | \(-0.971838\pi\) |
0.955952 | − | 0.293524i | \(-0.0948282\pi\) | |||||||
\(432\) | 5.09157 | − | 0.266838i | 0.244968 | − | 0.0128382i | ||||
\(433\) | 3.93114 | + | 7.71529i | 0.188918 | + | 0.370773i | 0.965966 | − | 0.258668i | \(-0.0832837\pi\) |
−0.777048 | + | 0.629442i | \(0.783284\pi\) | |||||||
\(434\) | −2.39768 | − | 16.6759i | −0.115093 | − | 0.800470i | ||||
\(435\) | −16.4185 | − | 1.43126i | −0.787205 | − | 0.0686235i | ||||
\(436\) | 10.5402 | − | 2.24039i | 0.504785 | − | 0.107295i | ||||
\(437\) | 1.98014 | + | 3.04915i | 0.0947229 | + | 0.145860i | ||||
\(438\) | −17.4983 | + | 21.6086i | −0.836100 | + | 1.03250i | ||||
\(439\) | −2.85136 | − | 4.93870i | −0.136088 | − | 0.235711i | 0.789925 | − | 0.613204i | \(-0.210120\pi\) |
−0.926013 | + | 0.377493i | \(0.876786\pi\) | |||||||
\(440\) | −6.58811 | − | 3.40540i | −0.314076 | − | 0.162346i | ||||
\(441\) | −29.7073 | + | 16.0385i | −1.41463 | + | 0.763740i | ||||
\(442\) | −0.300514 | + | 1.89737i | −0.0142940 | + | 0.0902488i | ||||
\(443\) | −21.7084 | + | 1.13769i | −1.03140 | + | 0.0540533i | −0.560517 | − | 0.828143i | \(-0.689397\pi\) |
−0.470882 | + | 0.882196i | \(0.656064\pi\) | |||||||
\(444\) | −4.28284 | − | 4.75658i | −0.203255 | − | 0.225737i | ||||
\(445\) | 0.342208 | + | 1.93721i | 0.0162222 | + | 0.0918328i | ||||
\(446\) | 16.8036 | + | 1.76613i | 0.795675 | + | 0.0836288i | ||||
\(447\) | 15.2217 | − | 7.75586i | 0.719963 | − | 0.366840i | ||||
\(448\) | 2.52767 | − | 0.781575i | 0.119421 | − | 0.0369259i | ||||
\(449\) | −8.78234 | − | 12.0878i | −0.414464 | − | 0.570461i | 0.549836 | − | 0.835273i | \(-0.314690\pi\) |
−0.964300 | + | 0.264812i | \(0.914690\pi\) | |||||||
\(450\) | −16.4350 | + | 17.6465i | −0.774754 | + | 0.831865i | ||||
\(451\) | −1.94334 | − | 2.51915i | −0.0915084 | − | 0.118622i | ||||
\(452\) | −2.88318 | − | 10.7602i | −0.135613 | − | 0.506116i | ||||
\(453\) | −60.6319 | + | 23.2744i | −2.84874 | + | 1.09353i | ||||
\(454\) | 3.73278 | + | 11.4883i | 0.175188 | + | 0.539174i | ||||
\(455\) | 1.03163 | + | 1.13773i | 0.0483636 | + | 0.0533378i | ||||
\(456\) | −2.03829 | − | 1.48090i | −0.0954517 | − | 0.0693497i | ||||
\(457\) | 22.0236 | + | 27.1969i | 1.03022 | + | 1.27222i | 0.961565 | + | 0.274577i | \(0.0885380\pi\) |
0.0686567 | + | 0.997640i | \(0.478129\pi\) | |||||||
\(458\) | 18.4397 | + | 0.966386i | 0.861633 | + | 0.0451563i | ||||
\(459\) | −7.84434 | + | 36.9047i | −0.366142 | + | 1.72256i | ||||
\(460\) | 1.10267 | + | 8.95739i | 0.0514124 | + | 0.417640i | ||||
\(461\) | 13.4317i | 0.625574i | 0.949823 | + | 0.312787i | \(0.101263\pi\) | ||||
−0.949823 | + | 0.312787i | \(0.898737\pi\) | |||||||
\(462\) | −14.1371 | + | 20.0626i | −0.657716 | + | 0.933395i | ||||
\(463\) | −25.1056 | − | 25.1056i | −1.16676 | − | 1.16676i | −0.982965 | − | 0.183793i | \(-0.941162\pi\) |
−0.183793 | − | 0.982965i | \(-0.558838\pi\) | |||||||
\(464\) | 1.07182 | − | 2.40734i | 0.0497579 | − | 0.111758i | ||||
\(465\) | −37.6510 | + | 12.9774i | −1.74602 | + | 0.601815i | ||||
\(466\) | −17.2425 | − | 19.1497i | −0.798743 | − | 0.887094i | ||||
\(467\) | −27.5422 | + | 22.3032i | −1.27450 | + | 1.03207i | −0.277037 | + | 0.960859i | \(0.589353\pi\) |
−0.997461 | + | 0.0712097i | \(0.977314\pi\) | |||||||
\(468\) | −1.23660 | + | 0.195859i | −0.0571620 | + | 0.00905357i | ||||
\(469\) | −20.8178 | − | 1.38929i | −0.961278 | − | 0.0641517i | ||||
\(470\) | 18.3124 | − | 1.28628i | 0.844688 | − | 0.0593318i | ||||
\(471\) | −2.27866 | − | 1.01453i | −0.104995 | − | 0.0467469i | ||||
\(472\) | 14.2652 | − | 3.82234i | 0.656608 | − | 0.175938i | ||||
\(473\) | −1.33732 | + | 2.82243i | −0.0614899 | + | 0.129776i | ||||
\(474\) | 22.7082 | + | 39.3317i | 1.04302 | + | 1.80656i | ||||
\(475\) | 4.45973 | − | 0.629619i | 0.204627 | − | 0.0288889i | ||||
\(476\) | 0.745423 | + | 19.5643i | 0.0341664 | + | 0.896729i | ||||
\(477\) | −4.66670 | − | 9.15891i | −0.213673 | − | 0.419358i | ||||
\(478\) | 11.2818 | − | 9.13582i | 0.516017 | − | 0.417863i | ||||
\(479\) | 22.6477 | − | 10.0834i | 1.03480 | − | 0.460722i | 0.182185 | − | 0.983264i | \(-0.441683\pi\) |
0.852613 | + | 0.522542i | \(0.175016\pi\) | |||||||
\(480\) | −2.93788 | − | 5.52118i | −0.134095 | − | 0.252006i | ||||
\(481\) | 0.441482 | + | 0.397512i | 0.0201298 | + | 0.0181250i | ||||
\(482\) | −4.39833 | − | 0.696627i | −0.200339 | − | 0.0317305i | ||||
\(483\) | 29.8642 | + | 0.426405i | 1.35887 | + | 0.0194021i | ||||
\(484\) | −1.66478 | + | 10.8733i | −0.0756718 | + | 0.494241i | ||||
\(485\) | −34.0121 | − | 18.8393i | −1.54441 | − | 0.855450i | ||||
\(486\) | 15.7914 | − | 1.65974i | 0.716311 | − | 0.0752873i | ||||
\(487\) | 12.4381 | − | 8.07740i | 0.563625 | − | 0.366022i | −0.231158 | − | 0.972916i | \(-0.574251\pi\) |
0.794783 | + | 0.606894i | \(0.207585\pi\) | |||||||
\(488\) | 3.05472 | − | 4.70385i | 0.138280 | − | 0.212933i | ||||
\(489\) | 22.0004 | + | 15.9842i | 0.994894 | + | 0.722833i | ||||
\(490\) | 12.5631 | + | 9.33637i | 0.567544 | + | 0.421774i | ||||
\(491\) | −5.16184 | + | 15.8865i | −0.232950 | + | 0.716948i | 0.764436 | + | 0.644699i | \(0.223017\pi\) |
−0.997387 | + | 0.0722484i | \(0.976983\pi\) | |||||||
\(492\) | −0.140422 | − | 2.67941i | −0.00633072 | − | 0.120797i | ||||
\(493\) | 15.1545 | + | 12.2718i | 0.682523 | + | 0.552696i | ||||
\(494\) | 0.202515 | + | 0.116922i | 0.00911158 | + | 0.00526058i | ||||
\(495\) | 32.5898 | + | 14.7385i | 1.46480 | + | 0.662446i | ||||
\(496\) | − | 6.36772i | − | 0.285919i | ||||||
\(497\) | 8.20965 | − | 5.78740i | 0.368253 | − | 0.259601i | ||||
\(498\) | 8.79519 | − | 17.2615i | 0.394122 | − | 0.773508i | ||||
\(499\) | −7.99853 | − | 37.6301i | −0.358063 | − | 1.68456i | −0.676365 | − | 0.736567i | \(-0.736446\pi\) |
0.318302 | − | 0.947990i | \(-0.396888\pi\) | |||||||
\(500\) | 10.6364 | + | 3.44494i | 0.475673 | + | 0.154062i | ||||
\(501\) | −55.9485 | + | 24.9099i | −2.49960 | + | 1.11289i | ||||
\(502\) | −1.61985 | − | 1.05195i | −0.0722976 | − | 0.0469506i | ||||
\(503\) | 30.1957 | + | 15.3855i | 1.34636 | + | 0.686004i | 0.970597 | − | 0.240712i | \(-0.0773810\pi\) |
0.375762 | + | 0.926716i | \(0.377381\pi\) | |||||||
\(504\) | −11.9767 | + | 4.40231i | −0.533486 | + | 0.196094i | ||||
\(505\) | 19.9236 | + | 4.96090i | 0.886589 | + | 0.220757i | ||||
\(506\) | 12.0673 | − | 5.79403i | 0.536459 | − | 0.257576i | ||||
\(507\) | −34.9393 | + | 9.36195i | −1.55171 | + | 0.415779i | ||||
\(508\) | −0.0440522 | + | 0.0543999i | −0.00195450 | + | 0.00241361i | ||||
\(509\) | 6.38310 | − | 7.08915i | 0.282926 | − | 0.314221i | −0.584885 | − | 0.811117i | \(-0.698860\pi\) |
0.867810 | + | 0.496896i | \(0.165527\pi\) | |||||||
\(510\) | 45.0912 | − | 10.4250i | 1.99667 | − | 0.461626i | ||||
\(511\) | 9.77540 | − | 24.4180i | 0.432438 | − | 1.08019i | ||||
\(512\) | 0.987688 | − | 0.156434i | 0.0436501 | − | 0.00691349i | ||||
\(513\) | 3.85179 | + | 2.50138i | 0.170061 | + | 0.110439i | ||||
\(514\) | 12.7888 | + | 2.71834i | 0.564090 | + | 0.119901i | ||||
\(515\) | 10.2409 | − | 7.72207i | 0.451267 | − | 0.340275i | ||||
\(516\) | −2.28098 | + | 1.31692i | −0.100415 | + | 0.0579744i | ||||
\(517\) | −10.4847 | − | 25.1290i | −0.461117 | − | 1.10517i | ||||
\(518\) | 5.19969 | + | 3.10186i | 0.228461 | + | 0.136288i | ||||
\(519\) | 31.4022 | + | 43.2214i | 1.37840 | + | 1.89721i | ||||
\(520\) | 0.324751 | + | 0.481138i | 0.0142413 | + | 0.0210993i | ||||
\(521\) | −12.8196 | + | 11.5429i | −0.561638 | + | 0.505702i | −0.900337 | − | 0.435193i | \(-0.856680\pi\) |
0.338699 | + | 0.940895i | \(0.390013\pi\) | |||||||
\(522\) | −4.55454 | + | 11.8650i | −0.199347 | + | 0.519317i | ||||
\(523\) | −5.18242 | − | 6.39975i | −0.226611 | − | 0.279842i | 0.651141 | − | 0.758957i | \(-0.274291\pi\) |
−0.877752 | + | 0.479116i | \(0.840957\pi\) | |||||||
\(524\) | 6.42842 | − | 19.7846i | 0.280827 | − | 0.864296i | ||||
\(525\) | 16.0932 | − | 33.3169i | 0.702366 | − | 1.45407i | ||||
\(526\) | −13.1976 | + | 9.58864i | −0.575444 | + | 0.418084i | ||||
\(527\) | 45.5154 | + | 12.1958i | 1.98268 | + | 0.531258i | ||||
\(528\) | −6.36811 | + | 6.74530i | −0.277136 | + | 0.293552i | ||||
\(529\) | 5.81091 | + | 3.35493i | 0.252648 | + | 0.145866i | ||||
\(530\) | −2.93297 | + | 3.75645i | −0.127400 | + | 0.163170i | ||||
\(531\) | −67.7405 | + | 22.0102i | −2.93969 | + | 0.955162i | ||||
\(532\) | 2.25588 | + | 0.768756i | 0.0978048 | + | 0.0333298i | ||||
\(533\) | 0.0389570 | + | 0.245965i | 0.00168742 | + | 0.0106539i | ||||
\(534\) | 2.44717 | + | 0.257208i | 0.105899 | + | 0.0111305i | ||||
\(535\) | 12.1517 | − | 39.7908i | 0.525362 | − | 1.72030i | ||||
\(536\) | −7.71357 | − | 1.63957i | −0.333176 | − | 0.0708187i | ||||
\(537\) | −7.72293 | − | 20.1189i | −0.333269 | − | 0.868196i | ||||
\(538\) | −9.41463 | + | 9.41463i | −0.405893 | + | 0.405893i | ||||
\(539\) | 7.16980 | − | 22.0815i | 0.308825 | − | 0.951119i | ||||
\(540\) | 5.87486 | + | 9.77048i | 0.252814 | + | 0.420455i | ||||
\(541\) | 3.92193 | + | 1.74615i | 0.168617 | + | 0.0750730i | 0.489309 | − | 0.872110i | \(-0.337249\pi\) |
−0.320693 | + | 0.947183i | \(0.603916\pi\) | |||||||
\(542\) | −0.970565 | − | 1.49454i | −0.0416893 | − | 0.0641959i | ||||
\(543\) | −0.848882 | + | 16.1976i | −0.0364290 | + | 0.695107i | ||||
\(544\) | −0.773509 | + | 7.35944i | −0.0331639 | + | 0.315533i | ||||
\(545\) | 15.4939 | + | 18.4531i | 0.663684 | + | 0.790445i | ||||
\(546\) | 1.72393 | − | 0.847606i | 0.0737774 | − | 0.0362742i | ||||
\(547\) | 5.15565 | + | 2.62693i | 0.220440 | + | 0.112320i | 0.560723 | − | 0.828003i | \(-0.310523\pi\) |
−0.340284 | + | 0.940323i | \(0.610523\pi\) | |||||||
\(548\) | 3.00953 | + | 7.84010i | 0.128561 | + | 0.334912i | ||||
\(549\) | −13.5251 | + | 23.4262i | −0.577237 | + | 0.999804i | ||||
\(550\) | −0.197803 | − | 16.5819i | −0.00843433 | − | 0.707056i | ||||
\(551\) | 2.05571 | − | 1.18687i | 0.0875763 | − | 0.0505622i | ||||
\(552\) | 11.1498 | + | 1.76595i | 0.474566 | + | 0.0751639i | ||||
\(553\) | −31.5128 | − | 29.1996i | −1.34006 | − | 1.24169i | ||||
\(554\) | −1.81933 | − | 0.591137i | −0.0772961 | − | 0.0251150i | ||||
\(555\) | 4.89085 | − | 13.4506i | 0.207605 | − | 0.570946i | ||||
\(556\) | 5.03706 | + | 11.3134i | 0.213619 | + | 0.479796i | ||||
\(557\) | −14.2645 | − | 0.747570i | −0.604406 | − | 0.0316756i | −0.252321 | − | 0.967644i | \(-0.581194\pi\) |
−0.352085 | + | 0.935968i | \(0.614527\pi\) | |||||||
\(558\) | 1.60728 | + | 30.6688i | 0.0680418 | + | 1.29831i | ||||
\(559\) | 0.197773 | − | 0.143690i | 0.00836490 | − | 0.00607746i | ||||
\(560\) | 4.19787 | + | 4.16868i | 0.177392 | + | 0.176159i | ||||
\(561\) | −36.0177 | − | 58.4371i | −1.52067 | − | 2.46722i | ||||
\(562\) | −4.72818 | − | 1.26691i | −0.199446 | − | 0.0534414i | ||||
\(563\) | −11.8024 | − | 9.55743i | −0.497414 | − | 0.402798i | 0.347517 | − | 0.937674i | \(-0.387025\pi\) |
−0.844931 | + | 0.534876i | \(0.820358\pi\) | |||||||
\(564\) | 4.77411 | − | 22.4604i | 0.201026 | − | 0.945753i | ||||
\(565\) | 18.2121 | − | 16.9937i | 0.766190 | − | 0.714932i | ||||
\(566\) | −9.85240 | + | 13.5607i | −0.414127 | + | 0.569998i | ||||
\(567\) | −0.506682 | + | 0.216976i | −0.0212787 | + | 0.00911212i | ||||
\(568\) | 3.38268 | − | 1.72356i | 0.141934 | − | 0.0723191i | ||||
\(569\) | −4.42072 | − | 3.98044i | −0.185326 | − | 0.166869i | 0.571245 | − | 0.820779i | \(-0.306461\pi\) |
−0.756572 | + | 0.653911i | \(0.773127\pi\) | |||||||
\(570\) | 0.782314 | − | 5.57911i | 0.0327675 | − | 0.233683i | ||||
\(571\) | −5.57395 | + | 9.65436i | −0.233262 | + | 0.404022i | −0.958766 | − | 0.284196i | \(-0.908273\pi\) |
0.725504 | + | 0.688218i | \(0.241607\pi\) | |||||||
\(572\) | 0.522377 | − | 0.684418i | 0.0218417 | − | 0.0286170i | ||||
\(573\) | 21.9615 | − | 21.9615i | 0.917456 | − | 0.917456i | ||||
\(574\) | 0.875635 | + | 2.38222i | 0.0365483 | + | 0.0994319i | ||||
\(575\) | −16.5237 | + | 11.5854i | −0.689085 | + | 0.483145i | ||||
\(576\) | −4.71751 | + | 1.00274i | −0.196563 | + | 0.0417807i | ||||
\(577\) | 4.30425 | + | 1.65225i | 0.179188 | + | 0.0687840i | 0.446308 | − | 0.894879i | \(-0.352739\pi\) |
−0.267120 | + | 0.963663i | \(0.586072\pi\) | |||||||
\(578\) | −35.2517 | − | 13.5319i | −1.46628 | − | 0.562851i | ||||
\(579\) | 40.4611 | − | 8.60027i | 1.68150 | − | 0.357415i | ||||
\(580\) | 5.87792 | − | 0.412871i | 0.244067 | − | 0.0171436i | ||||
\(581\) | −3.12491 | + | 18.0574i | −0.129643 | + | 0.749148i | ||||
\(582\) | −34.3893 | + | 34.3893i | −1.42548 | + | 1.42548i | ||||
\(583\) | 6.66948 | + | 2.34247i | 0.276222 | + | 0.0970152i | ||||
\(584\) | 4.97061 | − | 8.60935i | 0.205685 | − | 0.356257i | ||||
\(585\) | −1.68554 | − | 2.23533i | −0.0696885 | − | 0.0924196i | ||||
\(586\) | −12.1624 | − | 10.9510i | −0.502423 | − | 0.452383i | ||||
\(587\) | −34.0556 | + | 17.3522i | −1.40562 | + | 0.716201i | −0.981866 | − | 0.189575i | \(-0.939289\pi\) |
−0.423757 | + | 0.905776i | \(0.639289\pi\) | |||||||
\(588\) | 15.5610 | − | 11.8818i | 0.641725 | − | 0.489997i | ||||
\(589\) | 3.37153 | − | 4.64052i | 0.138922 | − | 0.191209i | ||||
\(590\) | 22.5293 | + | 24.1446i | 0.927516 | + | 0.994016i | ||||
\(591\) | 7.33754 | − | 34.5204i | 0.301826 | − | 1.41998i | ||||
\(592\) | 1.77844 | + | 1.44015i | 0.0730935 | + | 0.0591900i | ||||
\(593\) | 14.4768 | + | 3.87906i | 0.594493 | + | 0.159294i | 0.543506 | − | 0.839405i | \(-0.317097\pi\) |
0.0509871 | + | 0.998699i | \(0.483763\pi\) | |||||||
\(594\) | 10.9490 | − | 12.8867i | 0.449243 | − | 0.528748i | ||||
\(595\) | −37.8370 | + | 22.0216i | −1.55117 | + | 0.902797i | ||||
\(596\) | −4.94148 | + | 3.59019i | −0.202411 | + | 0.147060i | ||||
\(597\) | −2.14122 | − | 40.8570i | −0.0876344 | − | 1.67216i | ||||
\(598\) | −1.04633 | − | 0.0548359i | −0.0427877 | − | 0.00224241i | ||||
\(599\) | 10.8292 | + | 24.3229i | 0.442471 | + | 0.993806i | 0.987821 | + | 0.155597i | \(0.0497302\pi\) |
−0.545350 | + | 0.838209i | \(0.683603\pi\) | |||||||
\(600\) | 7.81291 | − | 11.5988i | 0.318961 | − | 0.473517i | ||||
\(601\) | 6.05721 | + | 1.96811i | 0.247079 | + | 0.0802807i | 0.429938 | − | 0.902858i | \(-0.358535\pi\) |
−0.182860 | + | 0.983139i | \(0.558535\pi\) | |||||||
\(602\) | 1.69338 | − | 1.82753i | 0.0690172 | − | 0.0744848i | ||||
\(603\) | 37.5647 | + | 5.94966i | 1.52975 | + | 0.242289i | ||||
\(604\) | 20.1093 | − | 11.6101i | 0.818234 | − | 0.472408i | ||||
\(605\) | −23.2126 | + | 8.13490i | −0.943725 | + | 0.330731i | ||||
\(606\) | 12.8410 | − | 22.2413i | 0.521630 | − | 0.903490i | ||||
\(607\) | 6.54795 | + | 17.0580i | 0.265773 | + | 0.692362i | 0.999911 | + | 0.0133618i | \(0.00425332\pi\) |
−0.734138 | + | 0.679001i | \(0.762413\pi\) | |||||||
\(608\) | 0.802612 | + | 0.408951i | 0.0325502 | + | 0.0165852i | ||||
\(609\) | 1.29848 | − | 19.4570i | 0.0526170 | − | 0.788437i | ||||
\(610\) | 12.4940 | + | 1.08915i | 0.505869 | + | 0.0440984i | ||||
\(611\) | −0.222775 | + | 2.11956i | −0.00901250 | + | 0.0857482i | ||||
\(612\) | 1.86784 | − | 35.6405i | 0.0755028 | − | 1.44068i | ||||
\(613\) | −16.5376 | − | 25.4657i | −0.667948 | − | 1.02855i | −0.996461 | − | 0.0840510i | \(-0.973214\pi\) |
0.328513 | − | 0.944499i | \(-0.393453\pi\) | |||||||
\(614\) | −8.24052 | − | 3.66892i | −0.332560 | − | 0.148065i | ||||
\(615\) | 5.14167 | − | 3.09162i | 0.207332 | − | 0.124666i | ||||
\(616\) | 3.87013 | − | 7.87541i | 0.155932 | − | 0.317309i | ||||
\(617\) | 19.3219 | − | 19.3219i | 0.777869 | − | 0.777869i | −0.201599 | − | 0.979468i | \(-0.564614\pi\) |
0.979468 | + | 0.201599i | \(0.0646139\pi\) | |||||||
\(618\) | −5.74935 | − | 14.9776i | −0.231273 | − | 0.602486i | ||||
\(619\) | 32.9833 | + | 7.01082i | 1.32571 | + | 0.281789i | 0.815748 | − | 0.578408i | \(-0.196326\pi\) |
0.509963 | + | 0.860196i | \(0.329659\pi\) | |||||||
\(620\) | 12.5699 | − | 6.68858i | 0.504819 | − | 0.268620i | ||||
\(621\) | −20.4656 | − | 2.15102i | −0.821255 | − | 0.0863174i | ||||
\(622\) | 5.39059 | + | 34.0348i | 0.216143 | + | 1.36467i | ||||
\(623\) | −2.28344 | + | 0.451388i | −0.0914843 | + | 0.0180845i | ||||
\(624\) | 0.690546 | − | 0.224372i | 0.0276440 | − | 0.00898207i | ||||
\(625\) | 4.37200 | + | 24.6147i | 0.174880 | + | 0.984590i | ||||
\(626\) | −15.2506 | − | 8.80493i | −0.609536 | − | 0.351916i | ||||
\(627\) | −8.21225 | + | 1.54394i | −0.327966 | + | 0.0616592i | ||||
\(628\) | 0.861409 | + | 0.230814i | 0.0343740 | + | 0.00921048i | ||||
\(629\) | −13.7002 | + | 9.95374i | −0.546261 | + | 0.396882i | ||||
\(630\) | −21.2704 | − | 19.0180i | −0.847432 | − | 0.757695i | ||||
\(631\) | −7.02124 | + | 21.6092i | −0.279511 | + | 0.860247i | 0.708479 | + | 0.705732i | \(0.249382\pi\) |
−0.987990 | + | 0.154515i | \(0.950618\pi\) | |||||||
\(632\) | −10.2188 | − | 12.6192i | −0.406482 | − | 0.501963i | ||||
\(633\) | −5.34543 | + | 13.9253i | −0.212462 | + | 0.553482i | ||||
\(634\) | −4.48807 | + | 4.04108i | −0.178244 | + | 0.160492i | ||||
\(635\) | −0.153657 | − | 0.0298181i | −0.00609771 | − | 0.00118330i | ||||
\(636\) | 3.50395 | + | 4.82277i | 0.138940 | + | 0.191235i | ||||
\(637\) | −1.32111 | + | 1.24774i | −0.0523442 | + | 0.0494372i | ||||
\(638\) | −3.36538 | − | 8.06592i | −0.133237 | − | 0.319333i | ||||
\(639\) | −15.8569 | + | 9.15500i | −0.627291 | + | 0.362166i | ||||
\(640\) | 1.34626 | + | 1.78538i | 0.0532155 | + | 0.0705734i | ||||
\(641\) | −3.52290 | − | 0.748816i | −0.139146 | − | 0.0295765i | 0.137812 | − | 0.990458i | \(-0.455993\pi\) |
−0.276958 | + | 0.960882i | \(0.589326\pi\) | |||||||
\(642\) | −43.6450 | − | 28.3434i | −1.72253 | − | 1.11863i | ||||
\(643\) | −0.608470 | + | 0.0963722i | −0.0239957 | + | 0.00380055i | −0.168421 | − | 0.985715i | \(-0.553867\pi\) |
0.144425 | + | 0.989516i | \(0.453867\pi\) | |||||||
\(644\) | −10.5698 | + | 1.51974i | −0.416510 | + | 0.0598863i | ||||
\(645\) | −4.99553 | − | 3.11938i | −0.196699 | − | 0.122825i | ||||
\(646\) | −4.46032 | + | 4.95369i | −0.175489 | + | 0.194900i | ||||
\(647\) | 22.2635 | − | 27.4931i | 0.875267 | − | 1.08087i | −0.120836 | − | 0.992672i | \(-0.538557\pi\) |
0.996103 | − | 0.0881928i | \(-0.0281092\pi\) | |||||||
\(648\) | −0.201230 | + | 0.0539194i | −0.00790505 | + | 0.00211815i | ||||
\(649\) | 23.2609 | − | 43.1056i | 0.913069 | − | 1.69204i | ||||
\(650\) | −0.608654 | + | 1.14644i | −0.0238734 | + | 0.0449671i | ||||
\(651\) | −16.2570 | − | 44.2281i | −0.637162 | − | 1.73344i | ||||
\(652\) | −8.66304 | − | 4.41404i | −0.339271 | − | 0.172867i | ||||
\(653\) | 9.03746 | + | 5.86900i | 0.353663 | + | 0.229672i | 0.709227 | − | 0.704981i | \(-0.249044\pi\) |
−0.355563 | + | 0.934652i | \(0.615711\pi\) | |||||||
\(654\) | 27.5334 | − | 12.2586i | 1.07664 | − | 0.479351i | ||||
\(655\) | 45.8073 | − | 8.09183i | 1.78984 | − | 0.316174i | ||||
\(656\) | 0.199448 | + | 0.938330i | 0.00778715 | + | 0.0366356i | ||||
\(657\) | −21.7668 | + | 42.7198i | −0.849204 | + | 1.66666i | ||||
\(658\) | 1.96182 | + | 21.6321i | 0.0764797 | + | 0.843309i | ||||
\(659\) | 20.8642i | 0.812754i | 0.913705 | + | 0.406377i | \(0.133208\pi\) | ||||
−0.913705 | + | 0.406377i | \(0.866792\pi\) | |||||||
\(660\) | −20.0042 | − | 5.48548i | −0.778663 | − | 0.213522i | ||||
\(661\) | −17.5487 | − | 10.1318i | −0.682567 | − | 0.394080i | 0.118255 | − | 0.992983i | \(-0.462270\pi\) |
−0.800821 | + | 0.598903i | \(0.795603\pi\) | |||||||
\(662\) | −2.57374 | − | 2.08418i | −0.100031 | − | 0.0810038i | ||||
\(663\) | 0.281201 | + | 5.36563i | 0.0109209 | + | 0.208384i | ||||
\(664\) | −2.14041 | + | 6.58750i | −0.0830640 | + | 0.255645i | ||||
\(665\) | 0.852022 | + | 5.26061i | 0.0330400 | + | 0.203998i | ||||
\(666\) | −8.92901 | − | 6.48730i | −0.345992 | − | 0.251378i | ||||
\(667\) | −5.79267 | + | 8.91993i | −0.224293 | + | 0.345381i | ||||
\(668\) | 18.3639 | − | 11.9257i | 0.710523 | − | 0.461419i | ||||
\(669\) | 46.9988 | − | 4.93977i | 1.81708 | − | 0.190983i | ||||
\(670\) | −4.86573 | − | 16.9488i | −0.187979 | − | 0.654789i | ||||
\(671\) | −4.38912 | − | 18.0767i | −0.169440 | − | 0.697844i | ||||
\(672\) | 6.46078 | − | 3.60814i | 0.249230 | − | 0.139187i | ||||
\(673\) | −21.9053 | − | 3.46946i | −0.844389 | − | 0.133738i | −0.280772 | − | 0.959774i | \(-0.590590\pi\) |
−0.563617 | + | 0.826036i | \(0.690590\pi\) | |||||||
\(674\) | −8.70247 | − | 7.83574i | −0.335207 | − | 0.301821i | ||||
\(675\) | −13.1161 | + | 21.8598i | −0.504838 | + | 0.841383i | ||||
\(676\) | 11.8145 | − | 5.26017i | 0.454405 | − | 0.202314i | ||||
\(677\) | 15.6340 | − | 12.6602i | 0.600864 | − | 0.486570i | −0.279962 | − | 0.960011i | \(-0.590322\pi\) |
0.880825 | + | 0.473441i | \(0.156988\pi\) | |||||||
\(678\) | −14.1451 | − | 27.7613i | −0.543239 | − | 1.06617i | ||||
\(679\) | 21.4688 | − | 40.6882i | 0.823898 | − | 1.56147i | ||||
\(680\) | −15.3400 | + | 6.20336i | −0.588264 | + | 0.237888i | ||||
\(681\) | 16.8929 | + | 29.2594i | 0.647337 | + | 1.12122i | ||||
\(682\) | −15.3568 | − | 14.4981i | −0.588044 | − | 0.555161i | ||||
\(683\) | 3.42742 | − | 0.918374i | 0.131146 | − | 0.0351406i | −0.192649 | − | 0.981268i | \(-0.561708\pi\) |
0.323795 | + | 0.946127i | \(0.395041\pi\) | |||||||
\(684\) | −3.96883 | − | 1.76704i | −0.151752 | − | 0.0675644i | ||||
\(685\) | −12.3152 | + | 14.1760i | −0.470539 | + | 0.541636i | ||||
\(686\) | −10.7427 | + | 15.0862i | −0.410157 | + | 0.575996i | ||||
\(687\) | 51.0099 | − | 8.07917i | 1.94615 | − | 0.308240i | ||||
\(688\) | 0.731829 | − | 0.592623i | 0.0279007 | − | 0.0225936i | ||||
\(689\) | −0.370227 | − | 0.411178i | −0.0141045 | − | 0.0156647i | ||||
\(690\) | 8.22560 | + | 23.8646i | 0.313143 | + | 0.908511i | ||||
\(691\) | 21.2707 | − | 47.7748i | 0.809176 | − | 1.81744i | 0.310807 | − | 0.950473i | \(-0.399401\pi\) |
0.498368 | − | 0.866965i | \(-0.333933\pi\) | |||||||
\(692\) | −13.5065 | − | 13.5065i | −0.513439 | − | 0.513439i | ||||
\(693\) | −16.6518 | + | 38.9071i | −0.632551 | + | 1.47796i | ||||
\(694\) | 11.1717i | 0.424071i | ||||||||
\(695\) | −17.0419 | + | 21.8267i | −0.646435 | + | 0.827932i | ||||
\(696\) | 1.53239 | − | 7.20934i | 0.0580852 | − | 0.273269i | ||||
\(697\) | −7.08902 | − | 0.371520i | −0.268516 | − | 0.0140723i | ||||
\(698\) | 7.09379 | + | 8.76010i | 0.268504 | + | 0.331575i | ||||
\(699\) | −58.3083 | − | 42.3635i | −2.20542 | − | 1.60233i | ||||
\(700\) | −3.81959 | + | 12.6653i | −0.144367 | + | 0.478705i | ||||
\(701\) | 4.57873 | + | 14.0919i | 0.172936 | + | 0.532243i | 0.999533 | − | 0.0305511i | \(-0.00972623\pi\) |
−0.826597 | + | 0.562795i | \(0.809726\pi\) | |||||||
\(702\) | −1.23567 | + | 0.474328i | −0.0466372 | + | 0.0179023i | ||||
\(703\) | 0.533529 | + | 1.99116i | 0.0201224 | + | 0.0750979i | ||||
\(704\) | 1.87151 | − | 2.73815i | 0.0705352 | − | 0.103198i | ||||
\(705\) | 49.3515 | − | 14.1680i | 1.85869 | − | 0.533599i | ||||
\(706\) | 9.81790 | + | 13.5132i | 0.369502 | + | 0.508575i | ||||
\(707\) | −5.38969 | + | 23.6883i | −0.202700 | + | 0.890891i | ||||
\(708\) | 36.8043 | − | 18.7527i | 1.38319 | − | 0.704770i | ||||
\(709\) | 0.479191 | + | 0.0503650i | 0.0179964 | + | 0.00189150i | 0.113522 | − | 0.993535i | \(-0.463787\pi\) |
−0.0955260 | + | 0.995427i | \(0.530453\pi\) | |||||||
\(710\) | 6.95544 | + | 4.86701i | 0.261033 | + | 0.182656i | ||||
\(711\) | 52.4019 | + | 58.1982i | 1.96523 | + | 2.18260i | ||||
\(712\) | −0.878556 | + | 0.0460432i | −0.0329253 | + | 0.00172554i | ||||
\(713\) | −4.02049 | + | 25.3844i | −0.150569 | + | 0.950653i | ||||
\(714\) | 13.4163 | + | 53.0911i | 0.502094 | + | 1.98688i | ||||
\(715\) | 1.89974 | + | 0.312268i | 0.0710463 | + | 0.0116782i | ||||
\(716\) | 3.85247 | + | 6.67267i | 0.143974 | + | 0.249369i | ||||
\(717\) | 25.5524 | − | 31.5546i | 0.954271 | − | 1.17843i | ||||
\(718\) | −2.88450 | − | 4.44174i | −0.107649 | − | 0.165764i | ||||
\(719\) | 31.5757 | − | 6.71162i | 1.17757 | − | 0.250301i | 0.422761 | − | 0.906241i | \(-0.361061\pi\) |
0.754813 | + | 0.655940i | \(0.227728\pi\) | |||||||
\(720\) | −6.93462 | − | 8.25911i | −0.258438 | − | 0.307799i | ||||
\(721\) | 9.38116 | + | 11.9290i | 0.349373 | + | 0.444261i | ||||
\(722\) | −8.25744 | − | 16.2061i | −0.307310 | − | 0.603130i | ||||
\(723\) | −12.4382 | + | 0.651857i | −0.462580 | + | 0.0242428i | ||||
\(724\) | −0.606174 | − | 5.76736i | −0.0225283 | − | 0.214342i | ||||
\(725\) | 6.98910 | + | 11.1694i | 0.259569 | + | 0.414819i | ||||
\(726\) | 1.76847 | + | 30.7155i | 0.0656340 | + | 1.13996i | ||||
\(727\) | 21.6854 | + | 21.6854i | 0.804268 | + | 0.804268i | 0.983759 | − | 0.179492i | \(-0.0574453\pi\) |
−0.179492 | + | 0.983759i | \(0.557445\pi\) | |||||||
\(728\) | −0.561367 | + | 0.395736i | −0.0208056 | + | 0.0146670i | ||||
\(729\) | 41.6428 | − | 13.5306i | 1.54233 | − | 0.501133i | ||||
\(730\) | 22.2159 | + | 0.768842i | 0.822249 | + | 0.0284561i | ||||
\(731\) | 2.83433 | + | 6.36602i | 0.104832 | + | 0.235456i | ||||
\(732\) | 5.62180 | − | 14.6453i | 0.207788 | − | 0.541305i | ||||
\(733\) | −15.5546 | + | 23.9519i | −0.574521 | + | 0.884684i | −0.999792 | − | 0.0203817i | \(-0.993512\pi\) |
0.425272 | + | 0.905066i | \(0.360179\pi\) | |||||||
\(734\) | −8.06162 | − | 24.8111i | −0.297560 | − | 0.915795i | ||||
\(735\) | 39.7998 | + | 18.2370i | 1.46804 | + | 0.672682i | ||||
\(736\) | −4.03611 | −0.148773 | ||||||||
\(737\) | −21.5164 | + | 14.8696i | −0.792568 | + | 0.547728i | ||||
\(738\) | −1.19745 | − | 4.46893i | −0.0440786 | − | 0.164504i | ||||
\(739\) | 9.93080 | − | 1.04377i | 0.365311 | − | 0.0383957i | 0.0799049 | − | 0.996802i | \(-0.474538\pi\) |
0.285406 | + | 0.958407i | \(0.407872\pi\) | |||||||
\(740\) | −0.974814 | + | 5.02337i | −0.0358349 | + | 0.184663i | ||||
\(741\) | 0.622038 | + | 0.202112i | 0.0228511 | + | 0.00742479i | ||||
\(742\) | −4.51428 | − | 3.37933i | −0.165724 | − | 0.124059i | ||||
\(743\) | 1.93528 | + | 12.2189i | 0.0709986 | + | 0.448267i | 0.997420 | + | 0.0717803i | \(0.0228681\pi\) |
−0.926422 | + | 0.376487i | \(0.877132\pi\) | |||||||
\(744\) | −3.70294 | − | 17.4210i | −0.135756 | − | 0.638684i | ||||
\(745\) | −12.2775 | − | 5.98339i | −0.449814 | − | 0.219215i | ||||
\(746\) | 1.59812 | + | 15.2051i | 0.0585113 | + | 0.556698i | ||||
\(747\) | 8.64608 | − | 32.2676i | 0.316343 | − | 1.18061i | ||||
\(748\) | 15.9874 | + | 18.6215i | 0.584557 | + | 0.680869i | ||||
\(749\) | 47.3634 | + | 13.4186i | 1.73062 | + | 0.490305i | ||||
\(750\) | 31.1025 | + | 3.23951i | 1.13570 | + | 0.118290i | ||||
\(751\) | −3.67169 | + | 4.07783i | −0.133982 | + | 0.148802i | −0.806402 | − | 0.591368i | \(-0.798588\pi\) |
0.672420 | + | 0.740170i | \(0.265255\pi\) | |||||||
\(752\) | −0.429664 | + | 8.19848i | −0.0156682 | + | 0.298968i | ||||
\(753\) | −5.04336 | − | 1.93597i | −0.183790 | − | 0.0705505i | ||||
\(754\) | −0.0715063 | + | 0.680337i | −0.00260411 | + | 0.0247764i | ||||
\(755\) | 44.0409 | + | 27.5006i | 1.60281 | + | 1.00085i | ||||
\(756\) | −11.4170 | + | 7.18465i | −0.415232 | + | 0.261303i | ||||
\(757\) | 1.55146 | − | 9.79556i | 0.0563889 | − | 0.356026i | −0.943320 | − | 0.331886i | \(-0.892315\pi\) |
0.999709 | − | 0.0241401i | \(-0.00768478\pi\) | |||||||
\(758\) | −5.16487 | + | 19.2755i | −0.187596 | + | 0.700119i | ||||
\(759\) | 29.6448 | − | 22.8688i | 1.07604 | − | 0.830086i | ||||
\(760\) | 0.0357830 | + | 2.01391i | 0.00129799 | + | 0.0730523i | ||||
\(761\) | 12.0553 | − | 27.0766i | 0.437003 | − | 0.981526i | −0.552029 | − | 0.833825i | \(-0.686146\pi\) |
0.989032 | − | 0.147701i | \(-0.0471873\pi\) | |||||||
\(762\) | −0.0888846 | + | 0.174446i | −0.00321995 | + | 0.00631951i | ||||
\(763\) | −21.4571 | + | 18.7724i | −0.776799 | + | 0.679605i | ||||
\(764\) | −6.52698 | + | 8.98362i | −0.236138 | + | 0.325016i | ||||
\(765\) | 72.3163 | − | 33.7492i | 2.61460 | − | 1.22020i | ||||
\(766\) | 3.26919 | − | 2.94359i | 0.118121 | − | 0.106356i | ||||
\(767\) | −3.21534 | + | 2.08807i | −0.116099 | + | 0.0753957i | ||||
\(768\) | 2.61117 | − | 1.00234i | 0.0942226 | − | 0.0361687i | ||||
\(769\) | −19.9299 | −0.718689 | −0.359345 | − | 0.933205i | \(-0.617000\pi\) | ||||
−0.359345 | + | 0.933205i | \(0.617000\pi\) | |||||||
\(770\) | 19.6112 | − | 0.632582i | 0.706739 | − | 0.0227967i | ||||
\(771\) | 36.5687 | 1.31699 | ||||||||
\(772\) | −13.8070 | + | 5.30003i | −0.496926 | + | 0.190752i | ||||
\(773\) | 1.11058 | − | 0.721220i | 0.0399448 | − | 0.0259405i | −0.524512 | − | 0.851403i | \(-0.675752\pi\) |
0.564457 | + | 0.825462i | \(0.309086\pi\) | |||||||
\(774\) | −3.37512 | + | 3.03897i | −0.121316 | + | 0.109233i | ||||
\(775\) | 26.4065 | + | 17.7874i | 0.948551 | + | 0.638943i | ||||
\(776\) | 10.2205 | − | 14.0673i | 0.366895 | − | 0.504988i | ||||
\(777\) | 16.0292 | + | 5.46242i | 0.575046 | + | 0.195963i | ||||
\(778\) | −7.94394 | + | 15.5909i | −0.284804 | + | 0.558960i | ||||
\(779\) | −0.351471 | + | 0.789416i | −0.0125927 | + | 0.0282838i | ||||
\(780\) | 1.16825 | + | 1.12746i | 0.0418301 | + | 0.0403696i | ||||
\(781\) | 3.54506 | − | 12.0821i | 0.126852 | − | 0.432332i | ||||
\(782\) | 7.73017 | − | 28.8494i | 0.276430 | − | 1.03165i | ||||
\(783\) | −2.10178 | + | 13.2701i | −0.0751114 | + | 0.474235i | ||||
\(784\) | −4.83052 | + | 5.06617i | −0.172519 | + | 0.180934i | ||||
\(785\) | 0.449186 | + | 1.94287i | 0.0160321 | + | 0.0693439i | ||||
\(786\) | 6.08192 | − | 57.8656i | 0.216935 | − | 2.06400i | ||||
\(787\) | −35.1663 | − | 13.4991i | −1.25354 | − | 0.481191i | −0.361176 | − | 0.932498i | \(-0.617625\pi\) |
−0.892369 | + | 0.451307i | \(0.850958\pi\) | |||||||
\(788\) | −0.660371 | + | 12.6006i | −0.0235247 | + | 0.448879i | ||||
\(789\) | −30.5304 | + | 33.9075i | −1.08691 | + | 1.20714i | ||||
\(790\) | 14.1766 | − | 33.4269i | 0.504379 | − | 1.18928i | ||||
\(791\) | 20.5409 | + | 21.1360i | 0.730350 | + | 0.751508i | ||||
\(792\) | −8.32260 | + | 13.6601i | −0.295731 | + | 0.485391i | ||||
\(793\) | −0.376843 | + | 1.40640i | −0.0133821 | + | 0.0499426i | ||||
\(794\) | 2.87926 | + | 27.3943i | 0.102181 | + | 0.972188i | ||||
\(795\) | −5.83965 | + | 11.9826i | −0.207111 | + | 0.424978i | ||||
\(796\) | 3.04128 | + | 14.3081i | 0.107795 | + | 0.507137i | ||||
\(797\) | 0.894173 | + | 5.64558i | 0.0316732 | + | 0.199977i | 0.998451 | − | 0.0556424i | \(-0.0177207\pi\) |
−0.966778 | + | 0.255619i | \(0.917721\pi\) | |||||||
\(798\) | 6.61874 | + | 0.791348i | 0.234301 | + | 0.0280134i | ||||
\(799\) | −57.7785 | − | 18.7734i | −2.04406 | − | 0.664154i | ||||
\(800\) | −2.11026 | + | 4.53286i | −0.0746088 | + | 0.160261i | ||||
\(801\) | 4.21976 | − | 0.443515i | 0.149098 | − | 0.0156708i | ||||
\(802\) | 6.17301 | + | 23.0380i | 0.217977 | + | 0.813500i | ||||
\(803\) | −9.44577 | − | 31.5893i | −0.333334 | − | 1.11476i | ||||
\(804\) | −22.0564 | −0.777870 | ||||||||
\(805\) | −14.1024 | − | 19.2686i | −0.497044 | − | 0.679127i | ||||
\(806\) | 0.510821 | + | 1.57215i | 0.0179929 | + | 0.0553765i | ||||
\(807\) | −20.2820 | + | 31.2315i | −0.713960 | + | 1.09940i | ||||
\(808\) | −3.29059 | + | 8.57229i | −0.115763 | + | 0.301572i | ||||
\(809\) | 17.4203 | + | 39.1267i | 0.612466 | + | 1.37562i | 0.907467 | + | 0.420124i | \(0.138014\pi\) |
−0.295000 | + | 0.955497i | \(0.595320\pi\) | |||||||
\(810\) | −0.317806 | − | 0.340592i | −0.0111666 | − | 0.0119672i | ||||
\(811\) | −3.29539 | + | 1.07074i | −0.115717 | + | 0.0375987i | −0.366303 | − | 0.930496i | \(-0.619377\pi\) |
0.250586 | + | 0.968094i | \(0.419377\pi\) | |||||||
\(812\) | 0.629705 | + | 6.94349i | 0.0220983 | + | 0.243669i | ||||
\(813\) | −3.52440 | − | 3.52440i | −0.123606 | − | 0.123606i | ||||
\(814\) | 7.52235 | − | 1.01006i | 0.263658 | − | 0.0354025i | ||||
\(815\) | −0.386226 | − | 21.7373i | −0.0135289 | − | 0.761425i | ||||
\(816\) | 2.16346 | + | 20.5840i | 0.0757363 | + | 0.720583i | ||||
\(817\) | 0.847102 | − | 0.0443948i | 0.0296364 | − | 0.00155318i | ||||
\(818\) | −6.21766 | − | 12.2028i | −0.217395 | − | 0.426662i | ||||
\(819\) | 2.60382 | − | 2.04768i | 0.0909847 | − | 0.0715516i | ||||
\(820\) | −1.64277 | + | 1.37932i | −0.0573680 | + | 0.0481680i | ||||
\(821\) | −53.4825 | + | 11.3681i | −1.86655 | + | 0.396748i | −0.995526 | − | 0.0944872i | \(-0.969879\pi\) |
−0.871027 | + | 0.491235i | \(0.836546\pi\) | |||||||
\(822\) | 12.7927 | + | 19.6990i | 0.446197 | + | 0.687083i | ||||
\(823\) | −10.2954 | + | 12.7137i | −0.358874 | + | 0.443172i | −0.924323 | − | 0.381611i | \(-0.875370\pi\) |
0.565449 | + | 0.824783i | \(0.308703\pi\) | |||||||
\(824\) | 2.86798 | + | 4.96748i | 0.0999107 | + | 0.173050i | ||||
\(825\) | −10.1838 | − | 45.2503i | −0.354556 | − | 1.57541i | ||||
\(826\) | −28.0208 | + | 27.2319i | −0.974968 | + | 0.947518i | ||||
\(827\) | 5.10515 | − | 32.2327i | 0.177524 | − | 1.12084i | −0.724539 | − | 0.689234i | \(-0.757947\pi\) |
0.902062 | − | 0.431606i | \(-0.142053\pi\) | |||||||
\(828\) | 19.4391 | − | 1.01876i | 0.675554 | − | 0.0354043i | ||||
\(829\) | 33.8915 | + | 37.6404i | 1.17710 | + | 1.30730i | 0.942109 | + | 0.335306i | \(0.108840\pi\) |
0.234992 | + | 0.971997i | \(0.424494\pi\) | |||||||
\(830\) | −15.2520 | + | 2.69426i | −0.529405 | + | 0.0935191i | ||||
\(831\) | −5.32113 | − | 0.559274i | −0.184588 | − | 0.0194010i | ||||
\(832\) | −0.231304 | + | 0.117855i | −0.00801902 | + | 0.00408590i | ||||
\(833\) | −26.9604 | − | 44.2308i | −0.934123 | − | 1.53251i | ||||
\(834\) | 20.3595 | + | 28.0224i | 0.704991 | + | 0.970337i | ||||
\(835\) | 42.8306 | + | 23.7239i | 1.48221 | + | 0.820999i | ||||
\(836\) | 2.81365 | − | 1.00453i | 0.0973120 | − | 0.0347424i | ||||
\(837\) | 8.40287 | + | 31.3599i | 0.290446 | + | 1.08396i | ||||
\(838\) | 23.2136 | − | 8.91087i | 0.801901 | − | 0.307821i | ||||
\(839\) | −14.0011 | − | 43.0909i | −0.483371 | − | 1.48766i | −0.834327 | − | 0.551270i | \(-0.814143\pi\) |
0.350956 | − | 0.936392i | \(-0.385857\pi\) | |||||||
\(840\) | 13.9088 | + | 8.96364i | 0.479899 | + | 0.309275i | ||||
\(841\) | −17.8436 | − | 12.9641i | −0.615297 | − | 0.447039i | ||||
\(842\) | −22.9946 | − | 28.3960i | −0.792447 | − | 0.978591i | ||||
\(843\) | −13.6722 | − | 0.716530i | −0.470896 | − | 0.0246786i | ||||
\(844\) | 1.10879 | − | 5.21644i | 0.0381661 | − | 0.179557i | ||||
\(845\) | 22.7934 | + | 17.7967i | 0.784117 | + | 0.612225i | ||||
\(846\) | − | 39.5947i | − | 1.36130i | ||||||
\(847\) | −10.1813 | − | 27.2643i | −0.349834 | − | 0.936812i | ||||
\(848\) | −1.50709 | − | 1.50709i | −0.0517537 | − | 0.0517537i | ||||
\(849\) | −19.0687 | + | 42.8290i | −0.654436 | + | 1.46989i | ||||
\(850\) | −28.3584 | − | 23.7653i | −0.972686 | − | 0.815145i | ||||
\(851\) | −6.18031 | − | 6.86393i | −0.211858 | − | 0.235293i | ||||
\(852\) | 8.25214 | − | 6.68245i | 0.282714 | − | 0.228937i | ||||
\(853\) | 39.4502 | − | 6.24829i | 1.35075 | − | 0.213937i | 0.561227 | − | 0.827662i | \(-0.310329\pi\) |
0.789520 | + | 0.613724i | \(0.210329\pi\) | |||||||
\(854\) | −0.988110 | + | 14.8063i | −0.0338124 | + | 0.506661i | ||||
\(855\) | −0.680676 | − | 9.69057i | −0.0232786 | − | 0.331410i | ||||
\(856\) | 16.9977 | + | 7.56785i | 0.580969 | + | 0.258664i | ||||
\(857\) | −7.03805 | + | 1.88584i | −0.240415 | + | 0.0644190i | −0.377015 | − | 0.926207i | \(-0.623049\pi\) |
0.136599 | + | 0.990626i | \(0.456383\pi\) | |||||||
\(858\) | 1.03113 | − | 2.17622i | 0.0352022 | − | 0.0742949i | ||||
\(859\) | −24.0354 | − | 41.6306i | −0.820078 | − | 1.42042i | −0.905624 | − | 0.424082i | \(-0.860597\pi\) |
0.0855456 | − | 0.996334i | \(-0.472737\pi\) | |||||||
\(860\) | 1.93854 | + | 0.822148i | 0.0661038 | + | 0.0280350i | ||||
\(861\) | 3.78089 | + | 6.00814i | 0.128852 | + | 0.204757i | ||||
\(862\) | 3.61909 | + | 7.10286i | 0.123267 | + | 0.241924i | ||||
\(863\) | 28.7169 | − | 23.2545i | 0.977535 | − | 0.791592i | −0.000507065 | − | 1.00000i | \(-0.500161\pi\) |
0.978042 | + | 0.208408i | \(0.0668281\pi\) | |||||||
\(864\) | −4.65776 | + | 2.07377i | −0.158460 | + | 0.0705510i | ||||
\(865\) | 12.4748 | − | 40.8489i | 0.424155 | − | 1.38890i | ||||
\(866\) | −6.43495 | − | 5.79405i | −0.218668 | − | 0.196890i | ||||
\(867\) | −104.312 | − | 16.5213i | −3.54261 | − | 0.561094i | ||||
\(868\) | 8.21455 | + | 14.7091i | 0.278820 | + | 0.499258i | ||||
\(869\) | −53.6995 | − | 4.08707i | −1.82163 | − | 0.138644i | ||||
\(870\) | 15.8409 | − | 4.54766i | 0.537056 | − | 0.154180i | ||||
\(871\) | 2.03595 | − | 0.213987i | 0.0689856 | − | 0.00725068i | ||||
\(872\) | −9.03726 | + | 5.86886i | −0.306040 | + | 0.198745i | ||||
\(873\) | −45.6742 | + | 70.3322i | −1.54584 | + | 2.38038i | ||||
\(874\) | −2.94134 | − | 2.13701i | −0.0994922 | − | 0.0722853i | ||||
\(875\) | −29.0135 | + | 5.76362i | −0.980834 | + | 0.194846i | ||||
\(876\) | 8.59223 | − | 26.4442i | 0.290305 | − | 0.893466i | ||||
\(877\) | −0.498712 | − | 9.51599i | −0.0168403 | − | 0.321332i | −0.994040 | − | 0.109012i | \(-0.965231\pi\) |
0.977200 | − | 0.212320i | \(-0.0681020\pi\) | |||||||
\(878\) | 4.43184 | + | 3.58884i | 0.149567 | + | 0.121117i | ||||
\(879\) | −39.6423 | − | 22.8875i | −1.33710 | − | 0.771976i | ||||
\(880\) | 7.37092 | + | 0.818247i | 0.248474 | + | 0.0275831i | ||||
\(881\) | − | 47.6094i | − | 1.60400i | −0.597324 | − | 0.802000i | \(-0.703769\pi\) | ||
0.597324 | − | 0.802000i | \(-0.296231\pi\) | |||||||
\(882\) | 21.9865 | − | 25.6194i | 0.740323 | − | 0.862650i | ||||
\(883\) | 11.2206 | − | 22.0216i | 0.377603 | − | 0.741087i | −0.621501 | − | 0.783413i | \(-0.713477\pi\) |
0.999104 | + | 0.0423261i | \(0.0134768\pi\) | |||||||
\(884\) | −0.399403 | − | 1.87904i | −0.0134334 | − | 0.0631991i | ||||
\(885\) | 75.6767 | + | 52.9541i | 2.54384 | + | 1.78003i | ||||
\(886\) | 19.8588 | − | 8.84173i | 0.667171 | − | 0.297044i | ||||
\(887\) | 13.5023 | + | 8.76849i | 0.453363 | + | 0.294417i | 0.751049 | − | 0.660247i | \(-0.229548\pi\) |
−0.297686 | + | 0.954664i | \(0.596215\pi\) | |||||||
\(888\) | 5.70298 | + | 2.90581i | 0.191380 | + | 0.0975128i | ||||
\(889\) | 0.0315805 | − | 0.182489i | 0.00105918 | − | 0.00612049i | ||||
\(890\) | −1.01371 | − | 1.68591i | −0.0339798 | − | 0.0565118i | ||||
\(891\) | −0.328126 | + | 0.608064i | −0.0109926 | + | 0.0203709i | ||||
\(892\) | −16.3205 | + | 4.37305i | −0.546449 | + | 0.146421i | ||||
\(893\) | −4.65399 | + | 5.74720i | −0.155740 | + | 0.192323i | ||||
\(894\) | −11.4313 | + | 12.6957i | −0.382319 | + | 0.424608i | ||||
\(895\) | −9.12528 | + | 14.6137i | −0.305025 | + | 0.488481i | ||||
\(896\) | −2.07970 | + | 1.63550i | −0.0694778 | + | 0.0546382i | ||||
\(897\) | −2.89447 | + | 0.458438i | −0.0966434 | + | 0.0153068i | ||||
\(898\) | 12.5309 | + | 8.13767i | 0.418162 | + | 0.271558i | ||||
\(899\) | 16.4133 | + | 3.48876i | 0.547414 | + | 0.116357i | ||||
\(900\) | 9.01947 | − | 22.3642i | 0.300649 | − | 0.745474i | ||||
\(901\) | 13.6589 | − | 7.88597i | 0.455044 | − | 0.262720i | ||||
\(902\) | 2.71705 | + | 1.65540i | 0.0904678 | + | 0.0551186i | ||||
\(903\) | 3.57006 | − | 5.98455i | 0.118804 | − | 0.199153i | ||||
\(904\) | 6.54778 | + | 9.01224i | 0.217776 | + | 0.299743i | ||||
\(905\) | 10.7481 | − | 7.25456i | 0.357278 | − | 0.241150i | ||||
\(906\) | 48.2640 | − | 43.4571i | 1.60346 | − | 1.44376i | ||||
\(907\) | −5.64324 | + | 14.7011i | −0.187381 | + | 0.488143i | −0.994802 | − | 0.101833i | \(-0.967529\pi\) |
0.807421 | + | 0.589976i | \(0.200863\pi\) | |||||||
\(908\) | −7.60190 | − | 9.38756i | −0.252278 | − | 0.311537i | ||||
\(909\) | 13.6847 | − | 42.1172i | 0.453893 | − | 1.39694i | ||||
\(910\) | −1.37084 | − | 0.692463i | −0.0454428 | − | 0.0229549i | ||||
\(911\) | −37.6474 | + | 27.3524i | −1.24731 | + | 0.906227i | −0.998063 | − | 0.0622119i | \(-0.980185\pi\) |
−0.249251 | + | 0.968439i | \(0.580185\pi\) | |||||||
\(912\) | 2.43362 | + | 0.652086i | 0.0805851 | + | 0.0215927i | ||||
\(913\) | 11.0136 | + | 20.1604i | 0.364496 | + | 0.667213i | ||||
\(914\) | −30.3073 | − | 17.4979i | −1.00248 | − | 0.578780i | ||||
\(915\) | 34.8149 | − | 4.28578i | 1.15094 | − | 0.141684i | ||||
\(916\) | −17.5613 | + | 5.70601i | −0.580242 | + | 0.188532i | ||||
\(917\) | 10.6735 | + | 53.9942i | 0.352470 | + | 1.78305i | ||||
\(918\) | −5.90215 | − | 37.2647i | −0.194800 | − | 1.22992i | ||||
\(919\) | −52.7000 | − | 5.53900i | −1.73841 | − | 0.182715i | −0.818413 | − | 0.574631i | \(-0.805146\pi\) |
−0.920001 | + | 0.391916i | \(0.871812\pi\) | |||||||
\(920\) | −4.23948 | − | 7.96728i | −0.139771 | − | 0.262673i | ||||
\(921\) | −24.6782 | − | 5.24551i | −0.813173 | − | 0.172845i | ||||
\(922\) | −4.81347 | − | 12.5395i | −0.158523 | − | 0.412967i | ||||
\(923\) | −0.696895 | + | 0.696895i | −0.0229386 | + | 0.0229386i | ||||
\(924\) | 6.00832 | − | 23.7963i | 0.197659 | − | 0.782841i | ||||
\(925\) | −10.9401 | + | 3.35220i | −0.359708 | + | 0.110220i | ||||
\(926\) | 32.4352 | + | 14.4411i | 1.06589 | + | 0.474563i | ||||
\(927\) | −15.0669 | − | 23.2009i | −0.494861 | − | 0.762019i | ||||
\(928\) | −0.137914 | + | 2.63155i | −0.00452724 | + | 0.0863849i | ||||
\(929\) | −2.06661 | + | 19.6625i | −0.0678033 | + | 0.645105i | 0.906861 | + | 0.421431i | \(0.138472\pi\) |
−0.974664 | + | 0.223674i | \(0.928195\pi\) | |||||||
\(930\) | 30.4995 | − | 25.6084i | 1.00012 | − | 0.839733i | ||||
\(931\) | −6.20267 | + | 1.13437i | −0.203284 | + | 0.0371775i | ||||
\(932\) | 22.9599 | + | 11.6987i | 0.752076 | + | 0.383202i | ||||
\(933\) | 34.5395 | + | 89.9786i | 1.13077 | + | 2.94577i | ||||
\(934\) | 17.7201 | − | 30.6921i | 0.579818 | − | 1.00427i | ||||
\(935\) | −19.9659 | + | 51.1189i | −0.652954 | + | 1.67177i | ||||
\(936\) | 1.08428 | − | 0.626009i | 0.0354408 | − | 0.0204617i | ||||
\(937\) | −39.9930 | − | 6.33426i | −1.30651 | − | 0.206931i | −0.535925 | − | 0.844265i | \(-0.680037\pi\) |
−0.770588 | + | 0.637334i | \(0.780037\pi\) | |||||||
\(938\) | 19.9330 | − | 6.16342i | 0.650835 | − | 0.201243i | ||||
\(939\) | −46.8431 | − | 15.2203i | −1.52867 | − | 0.496694i | ||||
\(940\) | −16.6351 | + | 7.76343i | −0.542578 | + | 0.253215i | ||||
\(941\) | −3.65464 | − | 8.20846i | −0.119138 | − | 0.267588i | 0.844126 | − | 0.536145i | \(-0.180120\pi\) |
−0.963264 | + | 0.268557i | \(0.913453\pi\) | |||||||
\(942\) | 2.49089 | + | 0.130542i | 0.0811575 | + | 0.00425328i | ||||
\(943\) | −0.202635 | − | 3.86650i | −0.00659870 | − | 0.125911i | ||||
\(944\) | −11.9479 | + | 8.68065i | −0.388871 | + | 0.282531i | ||||
\(945\) | −26.1748 | − | 14.9905i | −0.851465 | − | 0.487641i | ||||
\(946\) | 0.237024 | − | 3.11422i | 0.00770630 | − | 0.101252i | ||||
\(947\) | 39.0464 | + | 10.4625i | 1.26884 | + | 0.339984i | 0.829585 | − | 0.558380i | \(-0.188577\pi\) |
0.439252 | + | 0.898364i | \(0.355244\pi\) | |||||||
\(948\) | −35.2951 | − | 28.5814i | −1.14633 | − | 0.928281i | ||||
\(949\) | −0.536563 | + | 2.52433i | −0.0174176 | + | 0.0819433i | ||||
\(950\) | −3.93789 | + | 2.18603i | −0.127762 | + | 0.0709241i | ||||
\(951\) | −9.92862 | + | 13.6656i | −0.321957 | + | 0.443136i | ||||
\(952\) | −7.70713 | − | 17.9977i | −0.249790 | − | 0.583310i | ||||
\(953\) | 1.72405 | − | 0.878446i | 0.0558474 | − | 0.0284557i | −0.425844 | − | 0.904797i | \(-0.640023\pi\) |
0.481691 | + | 0.876341i | \(0.340023\pi\) | |||||||
\(954\) | 7.63900 | + | 6.87819i | 0.247322 | + | 0.222690i | ||||
\(955\) | −24.5896 | − | 3.44800i | −0.795699 | − | 0.111575i | ||||
\(956\) | −7.25848 | + | 12.5721i | −0.234756 | + | 0.406609i | ||||
\(957\) | −13.8976 | − | 20.1099i | −0.449245 | − | 0.650061i | ||||
\(958\) | −17.5299 | + | 17.5299i | −0.566364 | + | 0.566364i | ||||
\(959\) | −17.0658 | − | 14.2278i | −0.551083 | − | 0.459439i | ||||
\(960\) | 4.72136 | + | 4.10162i | 0.152381 | + | 0.132379i | ||||
\(961\) | 9.33927 | − | 1.98512i | 0.301267 | − | 0.0640362i | ||||
\(962\) | −0.554614 | − | 0.212897i | −0.0178815 | − | 0.00686406i | ||||
\(963\) | −83.7760 | − | 32.1586i | −2.69964 | − | 1.03630i | ||||
\(964\) | 4.35585 | − | 0.925864i | 0.140292 | − | 0.0298201i | ||||
\(965\) | −24.9650 | − | 21.6881i | −0.803652 | − | 0.698163i | ||||
\(966\) | −28.0335 | + | 10.3043i | −0.901962 | + | 0.331535i | ||||
\(967\) | −15.2015 | + | 15.2015i | −0.488847 | + | 0.488847i | −0.907942 | − | 0.419095i | \(-0.862347\pi\) |
0.419095 | + | 0.907942i | \(0.362347\pi\) | |||||||
\(968\) | −2.34243 | − | 10.7477i | −0.0752887 | − | 0.345444i | ||||
\(969\) | −9.32200 | + | 16.1462i | −0.299466 | + | 0.518690i | ||||
\(970\) | 38.5045 | + | 5.39917i | 1.23630 | + | 0.173357i | ||||
\(971\) | 40.5814 | + | 36.5397i | 1.30232 | + | 1.17261i | 0.973619 | + | 0.228180i | \(0.0732775\pi\) |
0.328701 | + | 0.944434i | \(0.393389\pi\) | |||||||
\(972\) | −14.1477 | + | 7.20862i | −0.453788 | + | 0.231217i | ||||
\(973\) | −26.2300 | − | 19.6354i | −0.840894 | − | 0.629482i | ||||
\(974\) | −8.71730 | + | 11.9983i | −0.279320 | + | 0.384451i | ||||
\(975\) | −0.998495 | + | 3.49040i | −0.0319774 | + | 0.111782i | ||||
\(976\) | −1.16611 | + | 5.48613i | −0.0373264 | + | 0.175607i | ||||
\(977\) | 18.6280 | + | 15.0847i | 0.595964 | + | 0.482602i | 0.879203 | − | 0.476447i | \(-0.158076\pi\) |
−0.283239 | + | 0.959049i | \(0.591409\pi\) | |||||||
\(978\) | −26.2674 | − | 7.03833i | −0.839939 | − | 0.225061i | ||||
\(979\) | −1.88926 | + | 2.22362i | −0.0603811 | + | 0.0710671i | ||||
\(980\) | −15.0745 | − | 4.21403i | −0.481539 | − | 0.134612i | ||||
\(981\) | 42.0447 | − | 30.5473i | 1.34238 | − | 0.975299i | ||||
\(982\) | −0.874223 | − | 16.6812i | −0.0278976 | − | 0.532317i | ||||
\(983\) | 46.3365 | + | 2.42839i | 1.47790 | + | 0.0774536i | 0.774155 | − | 0.632996i | \(-0.218175\pi\) |
0.703748 | + | 0.710449i | \(0.251508\pi\) | |||||||
\(984\) | 1.09131 | + | 2.45112i | 0.0347897 | + | 0.0781390i | ||||
\(985\) | −25.5673 | + | 11.9320i | −0.814642 | + | 0.380184i | ||||
\(986\) | −18.5457 | − | 6.02588i | −0.590617 | − | 0.191903i | ||||
\(987\) | 17.9467 | + | 58.0409i | 0.571249 | + | 1.84746i | ||||
\(988\) | −0.230965 | − | 0.0365813i | −0.00734798 | − | 0.00116381i | ||||
\(989\) | −3.29155 | + | 1.90038i | −0.104665 | + | 0.0604284i | ||||
\(990\) | −35.7070 | − | 2.08042i | −1.13484 | − | 0.0661199i | ||||
\(991\) | −23.2014 | + | 40.1859i | −0.737015 | + | 1.27655i | 0.216818 | + | 0.976212i | \(0.430432\pi\) |
−0.953833 | + | 0.300336i | \(0.902901\pi\) | |||||||
\(992\) | 2.28199 | + | 5.94478i | 0.0724532 | + | 0.188747i | ||||
\(993\) | −8.25330 | − | 4.20527i | −0.261911 | − | 0.133450i | ||||
\(994\) | −5.59035 | + | 8.34508i | −0.177315 | + | 0.264690i | ||||
\(995\) | −25.0497 | + | 21.0326i | −0.794129 | + | 0.666777i | ||||
\(996\) | −2.02504 | + | 19.2669i | −0.0641657 | + | 0.610496i | ||||
\(997\) | 2.99170 | − | 57.0850i | 0.0947480 | − | 1.80790i | −0.377051 | − | 0.926192i | \(-0.623062\pi\) |
0.471799 | − | 0.881706i | \(-0.343605\pi\) | |||||||
\(998\) | 20.9527 | + | 32.2643i | 0.663246 | + | 1.02131i | ||||
\(999\) | −10.6589 | − | 4.74567i | −0.337234 | − | 0.150146i |
(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 | 770.2.bv.a.3.3 | ✓ | 768 | |
5.2 | odd | 4 | inner | 770.2.bv.a.157.22 | yes | 768 | |
7.5 | odd | 6 | inner | 770.2.bv.a.663.46 | yes | 768 | |
11.4 | even | 5 | inner | 770.2.bv.a.213.22 | yes | 768 | |
35.12 | even | 12 | inner | 770.2.bv.a.47.22 | yes | 768 | |
55.37 | odd | 20 | inner | 770.2.bv.a.367.46 | yes | 768 | |
77.26 | odd | 30 | inner | 770.2.bv.a.103.22 | yes | 768 | |
385.257 | even | 60 | inner | 770.2.bv.a.257.3 | yes | 768 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
770.2.bv.a.3.3 | ✓ | 768 | 1.1 | even | 1 | trivial | |
770.2.bv.a.47.22 | yes | 768 | 35.12 | even | 12 | inner | |
770.2.bv.a.103.22 | yes | 768 | 77.26 | odd | 30 | inner | |
770.2.bv.a.157.22 | yes | 768 | 5.2 | odd | 4 | inner | |
770.2.bv.a.213.22 | yes | 768 | 11.4 | even | 5 | inner | |
770.2.bv.a.257.3 | yes | 768 | 385.257 | even | 60 | inner | |
770.2.bv.a.367.46 | yes | 768 | 55.37 | odd | 20 | inner | |
770.2.bv.a.663.46 | yes | 768 | 7.5 | odd | 6 | inner |