Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(15,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(60))
chi = DirichletCharacter(H, H._module([5, 42]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.15");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.cb (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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(576\) |
Relative dimension: | \(36\) over \(\Q(\zeta_{60})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{60}]$ |
Embedding invariants
Embedding label | 15.14 | ||
Character | \(\chi\) | \(=\) | 403.15 |
Dual form | 403.2.cb.a.215.14 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{7}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.857856 | + | 0.329300i | −0.606596 | + | 0.232850i | −0.642227 | − | 0.766515i | \(-0.721989\pi\) |
0.0356310 | + | 0.999365i | \(0.488656\pi\) | |||||||
\(3\) | −2.24412 | − | 0.235866i | −1.29564 | − | 0.136178i | −0.568511 | − | 0.822675i | \(-0.692480\pi\) |
−0.727132 | + | 0.686498i | \(0.759147\pi\) | |||||||
\(4\) | −0.858811 | + | 0.773277i | −0.429406 | + | 0.386639i | ||||
\(5\) | 1.02734 | − | 1.02734i | 0.459440 | − | 0.459440i | −0.439032 | − | 0.898472i | \(-0.644678\pi\) |
0.898472 | + | 0.439032i | \(0.144678\pi\) | |||||||
\(6\) | 2.00280 | − | 0.536649i | 0.817640 | − | 0.219086i | ||||
\(7\) | 0.00452335 | − | 0.0863108i | 0.00170967 | − | 0.0326224i | −0.997641 | − | 0.0686402i | \(-0.978134\pi\) |
0.999351 | + | 0.0360178i | \(0.0114673\pi\) | |||||||
\(8\) | 1.31643 | − | 2.58364i | 0.465428 | − | 0.913454i | ||||
\(9\) | 2.04600 | + | 0.434890i | 0.681999 | + | 0.144963i | ||||
\(10\) | −0.543006 | + | 1.21961i | −0.171714 | + | 0.385675i | ||||
\(11\) | 0.549157 | − | 0.845628i | 0.165577 | − | 0.254966i | −0.746136 | − | 0.665793i | \(-0.768093\pi\) |
0.911713 | + | 0.410827i | \(0.134760\pi\) | |||||||
\(12\) | 2.10967 | − | 1.53276i | 0.609008 | − | 0.442470i | ||||
\(13\) | −3.52397 | + | 0.762656i | −0.977373 | + | 0.211523i | ||||
\(14\) | 0.0245417 | + | 0.0755317i | 0.00655906 | + | 0.0201867i | ||||
\(15\) | −2.54779 | + | 2.06316i | −0.657836 | + | 0.532705i | ||||
\(16\) | −0.0369190 | + | 0.351261i | −0.00922975 | + | 0.0878152i | ||||
\(17\) | 6.67387 | + | 1.41857i | 1.61865 | + | 0.344055i | 0.926089 | − | 0.377304i | \(-0.123149\pi\) |
0.692561 | + | 0.721359i | \(0.256482\pi\) | |||||||
\(18\) | −1.89838 | + | 0.300674i | −0.447452 | + | 0.0708695i | ||||
\(19\) | −0.975790 | − | 0.790179i | −0.223862 | − | 0.181280i | 0.510828 | − | 0.859683i | \(-0.329339\pi\) |
−0.734690 | + | 0.678403i | \(0.762672\pi\) | |||||||
\(20\) | −0.0878726 | + | 1.67671i | −0.0196489 | + | 0.374923i | ||||
\(21\) | −0.0305088 | + | 0.192625i | −0.00665756 | + | 0.0420342i | ||||
\(22\) | −0.192632 | + | 0.906264i | −0.0410694 | + | 0.193216i | ||||
\(23\) | −4.08257 | + | 4.53415i | −0.851274 | + | 0.945435i | −0.999050 | − | 0.0435855i | \(-0.986122\pi\) |
0.147776 | + | 0.989021i | \(0.452789\pi\) | |||||||
\(24\) | −3.56362 | + | 5.48749i | −0.727420 | + | 1.12013i | ||||
\(25\) | 2.88915i | 0.577830i | ||||||||
\(26\) | 2.77191 | − | 1.81469i | 0.543617 | − | 0.355890i | ||||
\(27\) | 1.94924 | + | 0.633345i | 0.375131 | + | 0.121887i | ||||
\(28\) | 0.0628574 | + | 0.0776225i | 0.0118789 | + | 0.0146693i | ||||
\(29\) | −3.28689 | + | 7.38247i | −0.610359 | + | 1.37089i | 0.298750 | + | 0.954332i | \(0.403430\pi\) |
−0.909109 | + | 0.416558i | \(0.863236\pi\) | |||||||
\(30\) | 1.50624 | − | 2.60888i | 0.275000 | − | 0.476314i | ||||
\(31\) | −4.94565 | + | 2.55745i | −0.888265 | + | 0.459332i | ||||
\(32\) | 1.41699 | + | 5.28827i | 0.250490 | + | 0.934843i | ||||
\(33\) | −1.43183 | + | 1.76816i | −0.249250 | + | 0.307798i | ||||
\(34\) | −6.19235 | + | 0.980773i | −1.06198 | + | 0.168201i | ||||
\(35\) | −0.0840234 | − | 0.0933174i | −0.0142025 | − | 0.0157735i | ||||
\(36\) | −2.09342 | + | 1.20863i | −0.348903 | + | 0.201439i | ||||
\(37\) | 5.17495 | + | 1.38662i | 0.850756 | + | 0.227959i | 0.657748 | − | 0.753238i | \(-0.271509\pi\) |
0.193008 | + | 0.981197i | \(0.438176\pi\) | |||||||
\(38\) | 1.09729 | + | 0.356532i | 0.178005 | + | 0.0578372i | ||||
\(39\) | 8.08809 | − | 0.880305i | 1.29513 | − | 0.140962i | ||||
\(40\) | −1.30185 | − | 4.00669i | −0.205841 | − | 0.633514i | ||||
\(41\) | −9.39441 | + | 3.60618i | −1.46716 | + | 0.563190i | −0.955237 | − | 0.295841i | \(-0.904400\pi\) |
−0.511923 | + | 0.859031i | \(0.671067\pi\) | |||||||
\(42\) | −0.0372592 | − | 0.175291i | −0.00574922 | − | 0.0270480i | ||||
\(43\) | −0.128195 | − | 1.21970i | −0.0195496 | − | 0.186002i | 0.980389 | − | 0.197071i | \(-0.0631431\pi\) |
−0.999939 | + | 0.0110694i | \(0.996476\pi\) | |||||||
\(44\) | 0.182282 | + | 1.15089i | 0.0274801 | + | 0.173503i | ||||
\(45\) | 2.54871 | − | 1.65515i | 0.379940 | − | 0.246736i | ||||
\(46\) | 2.00916 | − | 5.23404i | 0.296234 | − | 0.771716i | ||||
\(47\) | 0.810664 | + | 5.11833i | 0.118247 | + | 0.746585i | 0.973553 | + | 0.228461i | \(0.0733694\pi\) |
−0.855306 | + | 0.518124i | \(0.826631\pi\) | |||||||
\(48\) | 0.165701 | − | 0.779563i | 0.0239169 | − | 0.112520i | ||||
\(49\) | 6.95422 | + | 0.730918i | 0.993461 | + | 0.104417i | ||||
\(50\) | −0.951397 | − | 2.47847i | −0.134548 | − | 0.350509i | ||||
\(51\) | −14.6424 | − | 4.75759i | −2.05034 | − | 0.666196i | ||||
\(52\) | 2.43668 | − | 3.37998i | 0.337907 | − | 0.468719i | ||||
\(53\) | 13.4477 | − | 4.36941i | 1.84718 | − | 0.600185i | 0.849861 | − | 0.527007i | \(-0.176686\pi\) |
0.997319 | − | 0.0731781i | \(-0.0233141\pi\) | |||||||
\(54\) | −1.88072 | + | 0.0985646i | −0.255934 | + | 0.0134129i | ||||
\(55\) | −0.304576 | − | 1.43292i | −0.0410690 | − | 0.193215i | ||||
\(56\) | −0.217041 | − | 0.125309i | −0.0290033 | − | 0.0167451i | ||||
\(57\) | 2.00341 | + | 2.00341i | 0.265359 | + | 0.265359i | ||||
\(58\) | 0.388628 | − | 7.41547i | 0.0510294 | − | 0.973698i | ||||
\(59\) | −9.43229 | − | 3.62072i | −1.22798 | − | 0.471377i | −0.344030 | − | 0.938959i | \(-0.611792\pi\) |
−0.883950 | + | 0.467582i | \(0.845125\pi\) | |||||||
\(60\) | 0.592676 | − | 3.74201i | 0.0765141 | − | 0.483091i | ||||
\(61\) | 8.11016 | + | 4.68240i | 1.03840 | + | 0.599520i | 0.919380 | − | 0.393371i | \(-0.128691\pi\) |
0.119020 | + | 0.992892i | \(0.462025\pi\) | |||||||
\(62\) | 3.40048 | − | 3.82253i | 0.431862 | − | 0.485462i | ||||
\(63\) | 0.0467905 | − | 0.174624i | 0.00589504 | − | 0.0220006i | ||||
\(64\) | −3.37221 | − | 4.64144i | −0.421526 | − | 0.580180i | ||||
\(65\) | −2.83680 | + | 4.40382i | −0.351862 | + | 0.546226i | ||||
\(66\) | 0.646048 | − | 1.98833i | 0.0795230 | − | 0.244747i | ||||
\(67\) | 2.64764 | + | 0.709433i | 0.323461 | + | 0.0866710i | 0.416896 | − | 0.908954i | \(-0.363118\pi\) |
−0.0934350 | + | 0.995625i | \(0.529785\pi\) | |||||||
\(68\) | −6.82855 | + | 3.94246i | −0.828083 | + | 0.478094i | ||||
\(69\) | 10.2312 | − | 9.21223i | 1.23169 | − | 1.10902i | ||||
\(70\) | 0.102809 | + | 0.0523840i | 0.0122881 | + | 0.00626109i | ||||
\(71\) | −0.733391 | + | 0.476270i | −0.0870375 | + | 0.0565228i | −0.587424 | − | 0.809279i | \(-0.699858\pi\) |
0.500387 | + | 0.865802i | \(0.333191\pi\) | |||||||
\(72\) | 3.81701 | − | 4.71361i | 0.449839 | − | 0.555505i | ||||
\(73\) | −0.975569 | − | 1.91466i | −0.114182 | − | 0.224094i | 0.826842 | − | 0.562434i | \(-0.190135\pi\) |
−0.941024 | + | 0.338339i | \(0.890135\pi\) | |||||||
\(74\) | −4.89597 | + | 0.514588i | −0.569145 | + | 0.0598196i | ||||
\(75\) | 0.681453 | − | 6.48359i | 0.0786874 | − | 0.748661i | ||||
\(76\) | 1.44905 | − | 0.0759414i | 0.166217 | − | 0.00871107i | ||||
\(77\) | −0.0705028 | − | 0.0512232i | −0.00803453 | − | 0.00583743i | ||||
\(78\) | −6.64853 | + | 3.41858i | −0.752798 | + | 0.387078i | ||||
\(79\) | 0.390312 | − | 0.126820i | 0.0439136 | − | 0.0142684i | −0.286978 | − | 0.957937i | \(-0.592651\pi\) |
0.330891 | + | 0.943669i | \(0.392651\pi\) | |||||||
\(80\) | 0.322936 | + | 0.398792i | 0.0361053 | + | 0.0445863i | ||||
\(81\) | −9.95754 | − | 4.43338i | −1.10639 | − | 0.492598i | ||||
\(82\) | 6.87154 | − | 6.18716i | 0.758834 | − | 0.683257i | ||||
\(83\) | 5.96092 | + | 0.944117i | 0.654296 | + | 0.103630i | 0.474752 | − | 0.880120i | \(-0.342538\pi\) |
0.179544 | + | 0.983750i | \(0.442538\pi\) | |||||||
\(84\) | −0.122751 | − | 0.189020i | −0.0133932 | − | 0.0206238i | ||||
\(85\) | 8.31369 | − | 5.39897i | 0.901746 | − | 0.585601i | ||||
\(86\) | 0.511619 | + | 1.00411i | 0.0551693 | + | 0.108276i | ||||
\(87\) | 9.11744 | − | 15.7919i | 0.977492 | − | 1.69307i | ||||
\(88\) | −1.46187 | − | 2.53203i | −0.155836 | − | 0.269916i | ||||
\(89\) | −5.07265 | + | 7.81120i | −0.537700 | + | 0.827985i | −0.998218 | − | 0.0596648i | \(-0.980997\pi\) |
0.460519 | + | 0.887650i | \(0.347663\pi\) | |||||||
\(90\) | −1.64139 | + | 2.25917i | −0.173017 | + | 0.238138i | ||||
\(91\) | 0.0498853 | + | 0.307606i | 0.00522940 | + | 0.0322459i | ||||
\(92\) | − | 7.05093i | − | 0.735111i | ||||||
\(93\) | 11.7018 | − | 4.57272i | 1.21342 | − | 0.474169i | ||||
\(94\) | −2.38090 | − | 4.12384i | −0.245571 | − | 0.425341i | ||||
\(95\) | −1.81425 | + | 0.190685i | −0.186138 | + | 0.0195639i | ||||
\(96\) | −1.93256 | − | 12.2017i | −0.197242 | − | 1.24533i | ||||
\(97\) | −13.0213 | − | 0.682417i | −1.32211 | − | 0.0692889i | −0.621828 | − | 0.783154i | \(-0.713610\pi\) |
−0.700284 | + | 0.713865i | \(0.746943\pi\) | |||||||
\(98\) | −6.20641 | + | 1.66300i | −0.626942 | + | 0.167989i | ||||
\(99\) | 1.49133 | − | 1.49133i | 0.149884 | − | 0.149884i | ||||
\(100\) | −2.23411 | − | 2.48123i | −0.223411 | − | 0.248123i | ||||
\(101\) | −2.15597 | − | 1.94124i | −0.214527 | − | 0.193161i | 0.554860 | − | 0.831943i | \(-0.312772\pi\) |
−0.769387 | + | 0.638783i | \(0.779438\pi\) | |||||||
\(102\) | 14.1277 | − | 0.740402i | 1.39885 | − | 0.0733107i | ||||
\(103\) | 6.26558 | + | 8.62383i | 0.617366 | + | 0.849731i | 0.997158 | − | 0.0753406i | \(-0.0240044\pi\) |
−0.379792 | + | 0.925072i | \(0.624004\pi\) | |||||||
\(104\) | −2.66863 | + | 10.1086i | −0.261681 | + | 0.991234i | ||||
\(105\) | 0.166548 | + | 0.229234i | 0.0162534 | + | 0.0223709i | ||||
\(106\) | −10.0973 | + | 8.17665i | −0.980738 | + | 0.794186i | ||||
\(107\) | −11.1310 | + | 12.3622i | −1.07607 | + | 1.19510i | −0.0962238 | + | 0.995360i | \(0.530676\pi\) |
−0.979849 | + | 0.199740i | \(0.935990\pi\) | |||||||
\(108\) | −2.16378 | + | 0.963376i | −0.208210 | + | 0.0927009i | ||||
\(109\) | 10.6509 | − | 1.68693i | 1.02017 | − | 0.161579i | 0.376127 | − | 0.926568i | \(-0.377256\pi\) |
0.644043 | + | 0.764989i | \(0.277256\pi\) | |||||||
\(110\) | 0.733142 | + | 1.12894i | 0.0699024 | + | 0.107640i | ||||
\(111\) | −11.2861 | − | 4.33234i | −1.07123 | − | 0.411208i | ||||
\(112\) | 0.0301506 | + | 0.00477538i | 0.00284896 | + | 0.000451231i | ||||
\(113\) | 5.99299 | + | 6.65589i | 0.563773 | + | 0.626134i | 0.955870 | − | 0.293790i | \(-0.0949168\pi\) |
−0.392097 | + | 0.919924i | \(0.628250\pi\) | |||||||
\(114\) | −2.37836 | − | 1.05892i | −0.222754 | − | 0.0991766i | ||||
\(115\) | 0.463929 | + | 8.85229i | 0.0432616 | + | 0.825480i | ||||
\(116\) | −2.88588 | − | 8.88182i | −0.267947 | − | 0.824656i | ||||
\(117\) | −7.54170 | + | 0.0278529i | −0.697230 | + | 0.00257500i | ||||
\(118\) | 9.28385 | 0.854647 | ||||||||
\(119\) | 0.152627 | − | 0.569610i | 0.0139913 | − | 0.0522161i | ||||
\(120\) | 1.97647 | + | 9.29856i | 0.180426 | + | 0.848838i | ||||
\(121\) | 4.06059 | + | 9.12023i | 0.369145 | + | 0.829112i | ||||
\(122\) | −8.49927 | − | 1.34615i | −0.769487 | − | 0.121875i | ||||
\(123\) | 21.9328 | − | 5.87686i | 1.97761 | − | 0.529899i | ||||
\(124\) | 2.26976 | − | 6.02073i | 0.203830 | − | 0.540677i | ||||
\(125\) | 8.10483 | + | 8.10483i | 0.724918 | + | 0.724918i | ||||
\(126\) | 0.0173643 | + | 0.165211i | 0.00154694 | + | 0.0147181i | ||||
\(127\) | −0.307278 | + | 2.92355i | −0.0272665 | + | 0.259423i | 0.972393 | + | 0.233347i | \(0.0749679\pi\) |
−0.999660 | + | 0.0260761i | \(0.991699\pi\) | |||||||
\(128\) | −4.76185 | − | 3.09238i | −0.420892 | − | 0.273330i | ||||
\(129\) | 2.76738i | 0.243654i | ||||||||
\(130\) | 0.983392 | − | 4.71200i | 0.0862492 | − | 0.413270i | ||||
\(131\) | −2.25265 | + | 6.93295i | −0.196815 | + | 0.605734i | 0.803136 | + | 0.595796i | \(0.203163\pi\) |
−0.999951 | + | 0.00993810i | \(0.996837\pi\) | |||||||
\(132\) | −0.137608 | − | 2.62572i | −0.0119773 | − | 0.228540i | ||||
\(133\) | −0.0726148 | + | 0.0806469i | −0.00629650 | + | 0.00699298i | ||||
\(134\) | −2.50491 | + | 0.263277i | −0.216391 | + | 0.0227436i | ||||
\(135\) | 2.65319 | − | 1.35187i | 0.228350 | − | 0.116350i | ||||
\(136\) | 12.4508 | − | 15.3754i | 1.06764 | − | 1.31843i | ||||
\(137\) | 4.36704 | − | 11.3765i | 0.373102 | − | 0.971963i | −0.610566 | − | 0.791966i | \(-0.709058\pi\) |
0.983667 | − | 0.179997i | \(-0.0576088\pi\) | |||||||
\(138\) | −5.74332 | + | 11.2719i | −0.488904 | + | 0.959529i | ||||
\(139\) | −0.793564 | − | 1.78237i | −0.0673092 | − | 0.151179i | 0.876758 | − | 0.480931i | \(-0.159701\pi\) |
−0.944067 | + | 0.329752i | \(0.893035\pi\) | |||||||
\(140\) | 0.144321 | + | 0.0151687i | 0.0121973 | + | 0.00128199i | ||||
\(141\) | −0.611984 | − | 11.6774i | −0.0515384 | − | 0.983410i | ||||
\(142\) | 0.472308 | − | 0.650076i | 0.0396352 | − | 0.0545532i | ||||
\(143\) | −1.29029 | + | 3.39878i | −0.107899 | + | 0.284221i | ||||
\(144\) | −0.228296 | + | 0.702623i | −0.0190247 | + | 0.0585519i | ||||
\(145\) | 4.20755 | + | 10.9610i | 0.349418 | + | 0.910265i | ||||
\(146\) | 1.46740 | + | 1.32125i | 0.121443 | + | 0.109347i | ||||
\(147\) | −15.4337 | − | 3.28054i | −1.27295 | − | 0.270574i | ||||
\(148\) | −5.51655 | + | 2.81082i | −0.453457 | + | 0.231048i | ||||
\(149\) | 2.61366 | + | 9.75431i | 0.214119 | + | 0.799104i | 0.986475 | + | 0.163914i | \(0.0524118\pi\) |
−0.772355 | + | 0.635191i | \(0.780921\pi\) | |||||||
\(150\) | 1.55046 | + | 5.78639i | 0.126594 | + | 0.472457i | ||||
\(151\) | −7.53978 | − | 14.7976i | −0.613578 | − | 1.20422i | −0.963568 | − | 0.267462i | \(-0.913815\pi\) |
0.349990 | − | 0.936753i | \(-0.386185\pi\) | |||||||
\(152\) | −3.32610 | + | 1.48087i | −0.269782 | + | 0.120115i | ||||
\(153\) | 13.0378 | + | 5.80480i | 1.05404 | + | 0.469290i | ||||
\(154\) | 0.0773490 | + | 0.0207256i | 0.00623296 | + | 0.00167012i | ||||
\(155\) | −2.45349 | + | 7.70823i | −0.197069 | + | 0.619140i | ||||
\(156\) | −6.26543 | + | 7.01035i | −0.501636 | + | 0.561278i | ||||
\(157\) | −1.32057 | + | 0.959447i | −0.105393 | + | 0.0765722i | −0.639233 | − | 0.769013i | \(-0.720748\pi\) |
0.533841 | + | 0.845585i | \(0.320748\pi\) | |||||||
\(158\) | −0.293070 | + | 0.237323i | −0.0233154 | + | 0.0188804i | ||||
\(159\) | −31.2088 | + | 6.63363i | −2.47502 | + | 0.526081i | ||||
\(160\) | 6.88858 | + | 3.97712i | 0.544590 | + | 0.314419i | ||||
\(161\) | 0.372879 | + | 0.372879i | 0.0293870 | + | 0.0293870i | ||||
\(162\) | 10.0020 | + | 0.524185i | 0.785835 | + | 0.0411839i | ||||
\(163\) | −10.7301 | − | 16.5229i | −0.840444 | − | 1.29417i | −0.953747 | − | 0.300609i | \(-0.902810\pi\) |
0.113304 | − | 0.993560i | \(-0.463857\pi\) | |||||||
\(164\) | 5.27945 | − | 10.3615i | 0.412256 | − | 0.809098i | ||||
\(165\) | 0.345528 | + | 3.28748i | 0.0268993 | + | 0.255930i | ||||
\(166\) | −5.42451 | + | 1.15301i | −0.421024 | + | 0.0894913i | ||||
\(167\) | 14.1431 | − | 5.42904i | 1.09443 | − | 0.420112i | 0.256862 | − | 0.966448i | \(-0.417311\pi\) |
0.837566 | + | 0.546336i | \(0.183978\pi\) | |||||||
\(168\) | 0.457510 | + | 0.332400i | 0.0352977 | + | 0.0256452i | ||||
\(169\) | 11.8367 | − | 5.37515i | 0.910516 | − | 0.413473i | ||||
\(170\) | −5.35406 | + | 7.36924i | −0.410638 | + | 0.565195i | ||||
\(171\) | −1.65282 | − | 2.04107i | −0.126395 | − | 0.156084i | ||||
\(172\) | 1.05326 | + | 0.948359i | 0.0803103 | + | 0.0723117i | ||||
\(173\) | −2.27180 | − | 5.10255i | −0.172722 | − | 0.387940i | 0.806354 | − | 0.591433i | \(-0.201437\pi\) |
−0.979077 | + | 0.203493i | \(0.934771\pi\) | |||||||
\(174\) | −2.62119 | + | 16.5495i | −0.198712 | + | 1.25462i | ||||
\(175\) | 0.249365 | + | 0.0130686i | 0.0188502 | + | 0.000987896i | ||||
\(176\) | 0.276762 | + | 0.224117i | 0.0208617 | + | 0.0168935i | ||||
\(177\) | 20.3132 | + | 10.3501i | 1.52683 | + | 0.777960i | ||||
\(178\) | 1.77938 | − | 8.37131i | 0.133370 | − | 0.627456i | ||||
\(179\) | −2.74791 | + | 0.584087i | −0.205389 | + | 0.0436567i | −0.309457 | − | 0.950913i | \(-0.600147\pi\) |
0.104068 | + | 0.994570i | \(0.466814\pi\) | |||||||
\(180\) | −0.908971 | + | 3.39233i | −0.0677507 | + | 0.252849i | ||||
\(181\) | −2.15535 | −0.160206 | −0.0801031 | − | 0.996787i | \(-0.525525\pi\) | ||||
−0.0801031 | + | 0.996787i | \(0.525525\pi\) | |||||||
\(182\) | −0.144089 | − | 0.247455i | −0.0106806 | − | 0.0183426i | ||||
\(183\) | −17.0958 | − | 12.4208i | −1.26375 | − | 0.918171i | ||||
\(184\) | 6.34019 | + | 16.5168i | 0.467405 | + | 1.21763i | ||||
\(185\) | 6.74096 | − | 3.89189i | 0.495605 | − | 0.286138i | ||||
\(186\) | −8.53270 | + | 7.77615i | −0.625648 | + | 0.570175i | ||||
\(187\) | 4.86459 | − | 4.86459i | 0.355734 | − | 0.355734i | ||||
\(188\) | −4.65410 | − | 3.76881i | −0.339435 | − | 0.274869i | ||||
\(189\) | 0.0634816 | − | 0.165375i | 0.00461761 | − | 0.0120293i | ||||
\(190\) | 1.49357 | − | 0.761013i | 0.108355 | − | 0.0552097i | ||||
\(191\) | −11.9905 | + | 20.7681i | −0.867601 | + | 1.50273i | −0.00315966 | + | 0.999995i | \(0.501006\pi\) |
−0.864441 | + | 0.502734i | \(0.832328\pi\) | |||||||
\(192\) | 6.47287 | + | 11.2113i | 0.467139 | + | 0.809109i | ||||
\(193\) | −3.96153 | − | 2.57265i | −0.285157 | − | 0.185183i | 0.394132 | − | 0.919054i | \(-0.371045\pi\) |
−0.679290 | + | 0.733870i | \(0.737712\pi\) | |||||||
\(194\) | 11.3951 | − | 3.70250i | 0.818121 | − | 0.265824i | ||||
\(195\) | 7.40484 | − | 9.21359i | 0.530272 | − | 0.659799i | ||||
\(196\) | −6.53757 | + | 4.74982i | −0.466969 | + | 0.339273i | ||||
\(197\) | 11.2608 | + | 7.31284i | 0.802298 | + | 0.521018i | 0.879444 | − | 0.476002i | \(-0.157914\pi\) |
−0.0771468 | + | 0.997020i | \(0.524581\pi\) | |||||||
\(198\) | −0.788251 | + | 1.77044i | −0.0560185 | + | 0.125820i | ||||
\(199\) | −7.41311 | + | 3.30053i | −0.525501 | + | 0.233968i | −0.652301 | − | 0.757960i | \(-0.726196\pi\) |
0.126800 | + | 0.991928i | \(0.459529\pi\) | |||||||
\(200\) | 7.46451 | + | 3.80336i | 0.527821 | + | 0.268938i | ||||
\(201\) | −5.77429 | − | 2.21654i | −0.407287 | − | 0.156343i | ||||
\(202\) | 2.48876 | + | 0.955346i | 0.175109 | + | 0.0672179i | ||||
\(203\) | 0.622319 | + | 0.317087i | 0.0436782 | + | 0.0222552i | ||||
\(204\) | 16.2540 | − | 7.23673i | 1.13801 | − | 0.506673i | ||||
\(205\) | −5.94648 | + | 13.3560i | −0.415320 | + | 0.932824i | ||||
\(206\) | −8.21479 | − | 5.33475i | −0.572352 | − | 0.371690i | ||||
\(207\) | −10.3248 | + | 7.50139i | −0.717621 | + | 0.521382i | ||||
\(208\) | −0.137790 | − | 1.26599i | −0.00955400 | − | 0.0877805i | ||||
\(209\) | −1.20406 | + | 0.391223i | −0.0832866 | + | 0.0270614i | ||||
\(210\) | −0.218361 | − | 0.141805i | −0.0150683 | − | 0.00978549i | ||||
\(211\) | −11.6189 | − | 20.1245i | −0.799878 | − | 1.38543i | −0.919695 | − | 0.392634i | \(-0.871564\pi\) |
0.119816 | − | 0.992796i | \(-0.461769\pi\) | |||||||
\(212\) | −8.17025 | + | 14.1513i | −0.561135 | + | 0.971914i | ||||
\(213\) | 1.75815 | − | 0.895824i | 0.120467 | − | 0.0613808i | ||||
\(214\) | 5.47790 | − | 14.2704i | 0.374462 | − | 0.975506i | ||||
\(215\) | −1.38474 | − | 1.12134i | −0.0944387 | − | 0.0764749i | ||||
\(216\) | 4.20237 | − | 4.20237i | 0.285935 | − | 0.285935i | ||||
\(217\) | 0.198365 | + | 0.438431i | 0.0134659 | + | 0.0297626i | ||||
\(218\) | −8.58142 | + | 4.95448i | −0.581207 | + | 0.335560i | ||||
\(219\) | 1.73769 | + | 4.52683i | 0.117422 | + | 0.305895i | ||||
\(220\) | 1.36962 | + | 0.995084i | 0.0923395 | + | 0.0670886i | ||||
\(221\) | −24.6004 | + | 0.0908539i | −1.65480 | + | 0.00611149i | ||||
\(222\) | 11.1085 | 0.745555 | ||||||||
\(223\) | −1.47409 | + | 5.50138i | −0.0987123 | + | 0.368399i | −0.997556 | − | 0.0698697i | \(-0.977742\pi\) |
0.898844 | + | 0.438269i | \(0.144408\pi\) | |||||||
\(224\) | 0.462844 | − | 0.0983806i | 0.0309251 | − | 0.00657333i | ||||
\(225\) | −1.25646 | + | 5.91119i | −0.0837641 | + | 0.394079i | ||||
\(226\) | −7.33291 | − | 3.73630i | −0.487778 | − | 0.248535i | ||||
\(227\) | 15.4698 | + | 12.5272i | 1.02677 | + | 0.831458i | 0.985837 | − | 0.167704i | \(-0.0536353\pi\) |
0.0409278 | + | 0.999162i | \(0.486969\pi\) | |||||||
\(228\) | −3.26975 | − | 0.171360i | −0.216544 | − | 0.0113486i | ||||
\(229\) | 3.63361 | − | 22.9417i | 0.240116 | − | 1.51603i | −0.513142 | − | 0.858304i | \(-0.671519\pi\) |
0.753257 | − | 0.657726i | \(-0.228481\pi\) | |||||||
\(230\) | −3.31304 | − | 7.44122i | −0.218456 | − | 0.490659i | ||||
\(231\) | 0.146135 | + | 0.131580i | 0.00961496 | + | 0.00865735i | ||||
\(232\) | 14.7467 | + | 18.2106i | 0.968166 | + | 1.19559i | ||||
\(233\) | −15.6015 | + | 21.4736i | −1.02209 | + | 1.40678i | −0.111355 | + | 0.993781i | \(0.535519\pi\) |
−0.910731 | + | 0.413000i | \(0.864481\pi\) | |||||||
\(234\) | 6.46052 | − | 2.50738i | 0.422337 | − | 0.163912i | ||||
\(235\) | 6.09109 | + | 4.42543i | 0.397339 | + | 0.288684i | ||||
\(236\) | 10.9004 | − | 4.18426i | 0.709554 | − | 0.272372i | ||||
\(237\) | −0.905820 | + | 0.192538i | −0.0588393 | + | 0.0125067i | ||||
\(238\) | 0.0566410 | + | 0.538903i | 0.00367149 | + | 0.0349319i | ||||
\(239\) | −7.92341 | + | 15.5506i | −0.512523 | + | 1.00588i | 0.479226 | + | 0.877691i | \(0.340917\pi\) |
−0.991749 | + | 0.128192i | \(0.959083\pi\) | |||||||
\(240\) | −0.630644 | − | 0.971107i | −0.0407079 | − | 0.0626847i | ||||
\(241\) | −12.1990 | − | 0.639321i | −0.785805 | − | 0.0411823i | −0.344788 | − | 0.938681i | \(-0.612049\pi\) |
−0.441018 | + | 0.897498i | \(0.645382\pi\) | |||||||
\(242\) | −6.48669 | − | 6.48669i | −0.416981 | − | 0.416981i | ||||
\(243\) | 15.9753 | + | 9.22337i | 1.02482 | + | 0.591679i | ||||
\(244\) | −10.5859 | + | 2.25010i | −0.677693 | + | 0.144048i | ||||
\(245\) | 7.89525 | − | 6.39345i | 0.504409 | − | 0.408462i | ||||
\(246\) | −16.8799 | + | 12.2640i | −1.07622 | + | 0.781921i | ||||
\(247\) | 4.04129 | + | 2.04038i | 0.257141 | + | 0.129826i | ||||
\(248\) | 0.0969363 | + | 16.1445i | 0.00615546 | + | 1.02517i | ||||
\(249\) | −13.1543 | − | 3.52469i | −0.833622 | − | 0.223368i | ||||
\(250\) | −9.62170 | − | 4.28386i | −0.608530 | − | 0.270935i | ||||
\(251\) | 2.41958 | − | 1.07727i | 0.152723 | − | 0.0679965i | −0.328952 | − | 0.944347i | \(-0.606695\pi\) |
0.481675 | + | 0.876350i | \(0.340029\pi\) | |||||||
\(252\) | 0.0948489 | + | 0.186151i | 0.00597492 | + | 0.0117264i | ||||
\(253\) | 1.59223 | + | 5.94229i | 0.100103 | + | 0.373589i | ||||
\(254\) | −0.699126 | − | 2.60917i | −0.0438671 | − | 0.163714i | ||||
\(255\) | −19.9303 | + | 10.1550i | −1.24809 | + | 0.635932i | ||||
\(256\) | 16.3268 | + | 3.47038i | 1.02043 | + | 0.216899i | ||||
\(257\) | −13.9151 | − | 12.5292i | −0.868001 | − | 0.781552i | 0.109166 | − | 0.994024i | \(-0.465182\pi\) |
−0.977167 | + | 0.212472i | \(0.931849\pi\) | |||||||
\(258\) | −0.911299 | − | 2.37402i | −0.0567350 | − | 0.147800i | ||||
\(259\) | 0.143089 | − | 0.440381i | 0.00889109 | − | 0.0273640i | ||||
\(260\) | −0.969092 | − | 5.97569i | −0.0601005 | − | 0.370596i | ||||
\(261\) | −9.93552 | + | 13.6751i | −0.614993 | + | 0.846466i | ||||
\(262\) | −0.350570 | − | 6.68927i | −0.0216583 | − | 0.413264i | ||||
\(263\) | 16.2016 | + | 1.70286i | 0.999034 | + | 0.105003i | 0.589904 | − | 0.807474i | \(-0.299166\pi\) |
0.409130 | + | 0.912476i | \(0.365832\pi\) | |||||||
\(264\) | 2.68339 | + | 6.02699i | 0.165151 | + | 0.370936i | ||||
\(265\) | 9.32645 | − | 18.3042i | 0.572919 | − | 1.12442i | ||||
\(266\) | 0.0357360 | − | 0.0930955i | 0.00219112 | − | 0.00570805i | ||||
\(267\) | 13.2260 | − | 16.3328i | 0.809420 | − | 0.999551i | ||||
\(268\) | −2.82241 | + | 1.43809i | −0.172406 | + | 0.0878453i | ||||
\(269\) | 1.86139 | − | 0.195640i | 0.113491 | − | 0.0119284i | −0.0476127 | − | 0.998866i | \(-0.515161\pi\) |
0.161104 | + | 0.986937i | \(0.448495\pi\) | |||||||
\(270\) | −1.83088 | + | 2.03340i | −0.111424 | + | 0.123749i | ||||
\(271\) | −0.698154 | − | 13.3216i | −0.0424099 | − | 0.809228i | −0.934194 | − | 0.356766i | \(-0.883879\pi\) |
0.891784 | − | 0.452462i | \(-0.149454\pi\) | |||||||
\(272\) | −0.744682 | + | 2.29190i | −0.0451530 | + | 0.138967i | ||||
\(273\) | −0.0393945 | − | 0.702071i | −0.00238426 | − | 0.0424913i | ||||
\(274\) | 11.1975i | 0.676465i | ||||||||
\(275\) | 2.44314 | + | 1.58660i | 0.147327 | + | 0.0956754i | ||||
\(276\) | −1.66308 | + | 15.8231i | −0.100106 | + | 0.952441i | ||||
\(277\) | −1.56930 | − | 14.9309i | −0.0942903 | − | 0.897112i | −0.934766 | − | 0.355263i | \(-0.884391\pi\) |
0.840476 | − | 0.541849i | \(-0.182276\pi\) | |||||||
\(278\) | 1.26770 | + | 1.26770i | 0.0760316 | + | 0.0760316i | ||||
\(279\) | −11.2310 | + | 3.08173i | −0.672382 | + | 0.184498i | ||||
\(280\) | −0.351709 | + | 0.0942402i | −0.0210187 | + | 0.00563193i | ||||
\(281\) | −1.46031 | − | 0.231291i | −0.0871151 | − | 0.0137977i | 0.112725 | − | 0.993626i | \(-0.464042\pi\) |
−0.199840 | + | 0.979829i | \(0.564042\pi\) | |||||||
\(282\) | 4.37035 | + | 9.81596i | 0.260250 | + | 0.584532i | ||||
\(283\) | −3.68530 | − | 17.3380i | −0.219068 | − | 1.03063i | −0.940931 | − | 0.338599i | \(-0.890047\pi\) |
0.721863 | − | 0.692036i | \(-0.243286\pi\) | |||||||
\(284\) | 0.261556 | − | 0.976140i | 0.0155205 | − | 0.0579233i | ||||
\(285\) | 4.11637 | 0.243833 | ||||||||
\(286\) | −0.0123373 | − | 3.34056i | −0.000729521 | − | 0.197531i | ||||
\(287\) | 0.268758 | + | 0.827151i | 0.0158643 | + | 0.0488252i | ||||
\(288\) | 0.599336 | + | 11.4360i | 0.0353162 | + | 0.673874i | ||||
\(289\) | 26.9979 | + | 12.0202i | 1.58811 | + | 0.707073i | ||||
\(290\) | −7.21895 | − | 8.01745i | −0.423911 | − | 0.470801i | ||||
\(291\) | 29.0604 | + | 4.60271i | 1.70355 | + | 0.269816i | ||||
\(292\) | 2.31839 | + | 0.889948i | 0.135674 | + | 0.0520803i | ||||
\(293\) | −10.0146 | − | 15.4211i | −0.585058 | − | 0.900911i | 0.414901 | − | 0.909866i | \(-0.363816\pi\) |
−0.999960 | + | 0.00895530i | \(0.997149\pi\) | |||||||
\(294\) | 14.3202 | − | 2.26809i | 0.835170 | − | 0.132278i | ||||
\(295\) | −13.4099 | + | 5.97046i | −0.780753 | + | 0.347613i | ||||
\(296\) | 10.3950 | − | 11.5448i | 0.604196 | − | 0.671028i | ||||
\(297\) | 1.60601 | − | 1.30052i | 0.0931903 | − | 0.0754640i | ||||
\(298\) | −5.45424 | − | 7.50712i | −0.315956 | − | 0.434876i | ||||
\(299\) | 10.9288 | − | 19.0918i | 0.632031 | − | 1.10411i | ||||
\(300\) | 4.42838 | + | 6.09514i | 0.255672 | + | 0.351903i | ||||
\(301\) | −0.105853 | + | 0.00554751i | −0.00610126 | + | 0.000319753i | ||||
\(302\) | 11.3409 | + | 10.2114i | 0.652596 | + | 0.587600i | ||||
\(303\) | 4.38038 | + | 4.86490i | 0.251646 | + | 0.279481i | ||||
\(304\) | 0.313584 | − | 0.313584i | 0.0179853 | − | 0.0179853i | ||||
\(305\) | 13.1423 | − | 3.52147i | 0.752526 | − | 0.201639i | ||||
\(306\) | −13.0961 | − | 0.686336i | −0.748652 | − | 0.0392352i | ||||
\(307\) | 2.09743 | + | 13.2426i | 0.119707 | + | 0.755797i | 0.972389 | + | 0.233367i | \(0.0749744\pi\) |
−0.852682 | + | 0.522430i | \(0.825026\pi\) | |||||||
\(308\) | 0.100158 | − | 0.0105271i | 0.00570705 | − | 0.000599835i | ||||
\(309\) | −12.0266 | − | 20.8307i | −0.684172 | − | 1.18502i | ||||
\(310\) | −0.433582 | − | 7.42048i | −0.0246258 | − | 0.421455i | ||||
\(311\) | − | 20.9349i | − | 1.18711i | −0.804794 | − | 0.593554i | \(-0.797724\pi\) | ||
0.804794 | − | 0.593554i | \(-0.202276\pi\) | |||||||
\(312\) | 8.37301 | − | 22.0556i | 0.474028 | − | 1.24865i | ||||
\(313\) | 4.15791 | − | 5.72287i | 0.235019 | − | 0.323476i | −0.675175 | − | 0.737657i | \(-0.735932\pi\) |
0.910194 | + | 0.414181i | \(0.135932\pi\) | |||||||
\(314\) | 0.816909 | − | 1.25793i | 0.0461008 | − | 0.0709891i | ||||
\(315\) | −0.131329 | − | 0.227468i | −0.00739954 | − | 0.0128164i | ||||
\(316\) | −0.237138 | + | 0.410734i | −0.0133400 | + | 0.0231056i | ||||
\(317\) | 6.61960 | + | 12.9917i | 0.371794 | + | 0.729687i | 0.998782 | − | 0.0493423i | \(-0.0157125\pi\) |
−0.626988 | + | 0.779029i | \(0.715713\pi\) | |||||||
\(318\) | 24.5882 | − | 15.9678i | 1.37884 | − | 0.895427i | ||||
\(319\) | 4.43780 | + | 6.83362i | 0.248469 | + | 0.382609i | ||||
\(320\) | −8.23274 | − | 1.30394i | −0.460224 | − | 0.0728923i | ||||
\(321\) | 27.8951 | − | 25.1168i | 1.55695 | − | 1.40189i | ||||
\(322\) | −0.442665 | − | 0.197087i | −0.0246688 | − | 0.0109832i | ||||
\(323\) | −5.39137 | − | 6.65778i | −0.299984 | − | 0.370449i | ||||
\(324\) | 11.9799 | − | 3.89250i | 0.665549 | − | 0.216250i | ||||
\(325\) | −2.20343 | − | 10.1813i | −0.122224 | − | 0.564755i | ||||
\(326\) | 14.6458 | + | 10.6408i | 0.811157 | + | 0.589340i | ||||
\(327\) | −24.2997 | + | 1.27350i | −1.34378 | + | 0.0704245i | ||||
\(328\) | −3.05002 | + | 29.0190i | −0.168409 | + | 1.60231i | ||||
\(329\) | 0.445434 | − | 0.0468170i | 0.0245576 | − | 0.00258110i | ||||
\(330\) | −1.37898 | − | 2.70640i | −0.0759103 | − | 0.148982i | ||||
\(331\) | −20.9100 | + | 25.8217i | −1.14932 | + | 1.41929i | −0.257861 | + | 0.966182i | \(0.583018\pi\) |
−0.891456 | + | 0.453107i | \(0.850316\pi\) | |||||||
\(332\) | −5.84937 | + | 3.79863i | −0.321026 | + | 0.208477i | ||||
\(333\) | 9.98490 | + | 5.08756i | 0.547169 | + | 0.278797i | ||||
\(334\) | −10.3450 | + | 9.31467i | −0.566052 | + | 0.509676i | ||||
\(335\) | 3.44885 | − | 1.99120i | 0.188431 | − | 0.108791i | ||||
\(336\) | −0.0665352 | − | 0.0178280i | −0.00362979 | − | 0.000972600i | ||||
\(337\) | −9.34297 | + | 28.7547i | −0.508944 | + | 1.56637i | 0.285093 | + | 0.958500i | \(0.407975\pi\) |
−0.794037 | + | 0.607869i | \(0.792025\pi\) | |||||||
\(338\) | −8.38415 | + | 8.50894i | −0.456038 | + | 0.462825i | ||||
\(339\) | −11.8791 | − | 16.3502i | −0.645183 | − | 0.888019i | ||||
\(340\) | −2.96499 | + | 11.0655i | −0.160799 | + | 0.600110i | ||||
\(341\) | −0.553285 | + | 5.58662i | −0.0299620 | + | 0.302533i | ||||
\(342\) | 2.09001 | + | 1.20667i | 0.113015 | + | 0.0652490i | ||||
\(343\) | 0.189186 | − | 1.19447i | 0.0102151 | − | 0.0644955i | ||||
\(344\) | −3.32001 | − | 1.27443i | −0.179003 | − | 0.0687129i | ||||
\(345\) | 1.04685 | − | 19.9750i | 0.0563603 | − | 1.07542i | ||||
\(346\) | 3.62915 | + | 3.62915i | 0.195104 | + | 0.195104i | ||||
\(347\) | 14.7754 | + | 8.53055i | 0.793183 | + | 0.457944i | 0.841082 | − | 0.540908i | \(-0.181919\pi\) |
−0.0478992 | + | 0.998852i | \(0.515253\pi\) | |||||||
\(348\) | 4.38133 | + | 20.6126i | 0.234864 | + | 1.10495i | ||||
\(349\) | −21.5006 | + | 1.12680i | −1.15090 | + | 0.0603163i | −0.618224 | − | 0.786002i | \(-0.712148\pi\) |
−0.532678 | + | 0.846318i | \(0.678814\pi\) | |||||||
\(350\) | −0.218222 | + | 0.0709047i | −0.0116645 | + | 0.00379002i | ||||
\(351\) | −7.35207 | − | 0.745292i | −0.392425 | − | 0.0397808i | ||||
\(352\) | 5.25006 | + | 1.70585i | 0.279829 | + | 0.0909220i | ||||
\(353\) | −5.03843 | − | 13.1256i | −0.268169 | − | 0.698603i | −0.999856 | − | 0.0169629i | \(-0.994600\pi\) |
0.731688 | − | 0.681640i | \(-0.238733\pi\) | |||||||
\(354\) | −20.8341 | − | 2.18975i | −1.10732 | − | 0.116384i | ||||
\(355\) | −0.264151 | + | 1.24273i | −0.0140197 | + | 0.0659574i | ||||
\(356\) | −1.68377 | − | 10.6309i | −0.0892397 | − | 0.563437i | ||||
\(357\) | −0.476864 | + | 1.24227i | −0.0252383 | + | 0.0657481i | ||||
\(358\) | 2.16497 | − | 1.40595i | 0.114422 | − | 0.0743068i | ||||
\(359\) | −1.90218 | − | 12.0099i | −0.100393 | − | 0.633858i | −0.985656 | − | 0.168767i | \(-0.946021\pi\) |
0.885263 | − | 0.465091i | \(-0.153979\pi\) | |||||||
\(360\) | −0.921117 | − | 8.76384i | −0.0485471 | − | 0.461895i | ||||
\(361\) | −3.62254 | − | 17.0427i | −0.190660 | − | 0.896985i | ||||
\(362\) | 1.84898 | − | 0.709758i | 0.0971804 | − | 0.0373041i | ||||
\(363\) | −6.96129 | − | 21.4247i | −0.365373 | − | 1.12450i | ||||
\(364\) | −0.280707 | − | 0.225601i | −0.0147130 | − | 0.0118247i | ||||
\(365\) | −2.96925 | − | 0.964767i | −0.155418 | − | 0.0504982i | ||||
\(366\) | 18.7559 | + | 5.02562i | 0.980384 | + | 0.262693i | ||||
\(367\) | 18.7809 | − | 10.8431i | 0.980353 | − | 0.566007i | 0.0779765 | − | 0.996955i | \(-0.475154\pi\) |
0.902377 | + | 0.430948i | \(0.141821\pi\) | |||||||
\(368\) | −1.44194 | − | 1.60144i | −0.0751666 | − | 0.0834809i | ||||
\(369\) | −20.7892 | + | 3.29269i | −1.08224 | + | 0.171411i | ||||
\(370\) | −4.50117 | + | 5.55848i | −0.234005 | + | 0.288972i | ||||
\(371\) | −0.316299 | − | 1.18044i | −0.0164214 | − | 0.0612856i | ||||
\(372\) | −6.51370 | + | 12.9759i | −0.337720 | + | 0.672768i | ||||
\(373\) | 1.01830 | − | 1.76374i | 0.0527255 | − | 0.0913232i | −0.838458 | − | 0.544966i | \(-0.816542\pi\) |
0.891184 | + | 0.453643i | \(0.149876\pi\) | |||||||
\(374\) | −2.57121 | + | 5.77503i | −0.132954 | + | 0.298620i | ||||
\(375\) | −16.2766 | − | 20.0999i | −0.840518 | − | 1.03795i | ||||
\(376\) | 14.2911 | + | 4.64346i | 0.737007 | + | 0.239468i | ||||
\(377\) | 5.95260 | − | 28.5223i | 0.306575 | − | 1.46898i | ||||
\(378\) | 0.162773i | 0.00837212i | ||||||||
\(379\) | 15.8329 | − | 24.3805i | 0.813280 | − | 1.25234i | −0.151284 | − | 0.988490i | \(-0.548341\pi\) |
0.964564 | − | 0.263851i | \(-0.0849926\pi\) | |||||||
\(380\) | 1.41065 | − | 1.56668i | 0.0723646 | − | 0.0803690i | ||||
\(381\) | 1.37914 | − | 6.48833i | 0.0706553 | − | 0.332407i | ||||
\(382\) | 3.44716 | − | 21.7645i | 0.176372 | − | 1.11357i | ||||
\(383\) | 0.373869 | − | 7.13385i | 0.0191038 | − | 0.364523i | −0.972304 | − | 0.233718i | \(-0.924911\pi\) |
0.991408 | − | 0.130804i | \(-0.0417560\pi\) | |||||||
\(384\) | 9.95677 | + | 8.06283i | 0.508104 | + | 0.411455i | ||||
\(385\) | −0.125054 | + | 0.0198066i | −0.00637334 | + | 0.00100944i | ||||
\(386\) | 4.24560 | + | 0.902430i | 0.216095 | + | 0.0459325i | ||||
\(387\) | 0.268147 | − | 2.55125i | 0.0136307 | − | 0.129687i | ||||
\(388\) | 11.7105 | − | 9.48300i | 0.594512 | − | 0.481426i | ||||
\(389\) | −5.96860 | − | 18.3694i | −0.302620 | − | 0.931368i | −0.980555 | − | 0.196246i | \(-0.937125\pi\) |
0.677935 | − | 0.735122i | \(-0.262875\pi\) | |||||||
\(390\) | −3.31825 | + | 10.3423i | −0.168026 | + | 0.523705i | ||||
\(391\) | −33.6785 | + | 24.4689i | −1.70320 | + | 1.23745i | ||||
\(392\) | 11.0432 | − | 17.0050i | 0.557764 | − | 0.858882i | ||||
\(393\) | 6.69047 | − | 15.0270i | 0.337489 | − | 0.758014i | ||||
\(394\) | −12.0682 | − | 2.56518i | −0.607989 | − | 0.129232i | ||||
\(395\) | 0.270696 | − | 0.531271i | 0.0136202 | − | 0.0267311i | ||||
\(396\) | −0.127560 | + | 2.43398i | −0.00641011 | + | 0.122312i | ||||
\(397\) | −16.4267 | + | 4.40152i | −0.824433 | + | 0.220906i | −0.646283 | − | 0.763097i | \(-0.723678\pi\) |
−0.178149 | + | 0.984003i | \(0.557011\pi\) | |||||||
\(398\) | 5.27251 | − | 5.27251i | 0.264287 | − | 0.264287i | ||||
\(399\) | 0.181978 | − | 0.163854i | 0.00911031 | − | 0.00820296i | ||||
\(400\) | −1.01484 | − | 0.106664i | −0.0507422 | − | 0.00533322i | ||||
\(401\) | −2.10286 | + | 0.807213i | −0.105012 | + | 0.0403103i | −0.410307 | − | 0.911948i | \(-0.634578\pi\) |
0.305295 | + | 0.952258i | \(0.401245\pi\) | |||||||
\(402\) | 5.68341 | 0.283463 | ||||||||
\(403\) | 15.4779 | − | 12.7842i | 0.771007 | − | 0.636827i | ||||
\(404\) | 3.35269 | 0.166803 | ||||||||
\(405\) | −14.7844 | + | 5.67518i | −0.734641 | + | 0.282002i | ||||
\(406\) | −0.638276 | − | 0.0670856i | −0.0316771 | − | 0.00332940i | ||||
\(407\) | 4.01443 | − | 3.61461i | 0.198988 | − | 0.179169i | ||||
\(408\) | −31.5675 | + | 31.5675i | −1.56283 | + | 1.56283i | ||||
\(409\) | −0.718033 | + | 0.192396i | −0.0355045 | + | 0.00951339i | −0.276528 | − | 0.961006i | \(-0.589184\pi\) |
0.241023 | + | 0.970519i | \(0.422517\pi\) | |||||||
\(410\) | 0.703088 | − | 13.4157i | 0.0347230 | − | 0.662555i | ||||
\(411\) | −12.4835 | + | 24.5003i | −0.615766 | + | 1.20851i | ||||
\(412\) | −12.0496 | − | 2.56121i | −0.593639 | − | 0.126182i | ||||
\(413\) | −0.355172 | + | 0.797730i | −0.0174769 | + | 0.0392537i | ||||
\(414\) | 6.38696 | − | 9.83506i | 0.313902 | − | 0.483367i | ||||
\(415\) | 7.09382 | − | 5.15396i | 0.348222 | − | 0.252998i | ||||
\(416\) | −9.02655 | − | 17.5550i | −0.442563 | − | 0.860706i | ||||
\(417\) | 1.36045 | + | 4.18704i | 0.0666215 | + | 0.205040i | ||||
\(418\) | 0.904080 | − | 0.732110i | 0.0442200 | − | 0.0358087i | ||||
\(419\) | −0.975157 | + | 9.27799i | −0.0476395 | + | 0.453260i | 0.944536 | + | 0.328408i | \(0.106512\pi\) |
−0.992175 | + | 0.124852i | \(0.960155\pi\) | |||||||
\(420\) | −0.320295 | − | 0.0680807i | −0.0156288 | − | 0.00332200i | ||||
\(421\) | 18.6067 | − | 2.94701i | 0.906836 | − | 0.143629i | 0.314441 | − | 0.949277i | \(-0.398183\pi\) |
0.592394 | + | 0.805648i | \(0.298183\pi\) | |||||||
\(422\) | 16.5944 | + | 13.4378i | 0.807801 | + | 0.654144i | ||||
\(423\) | −0.567295 | + | 10.8246i | −0.0275828 | + | 0.526312i | ||||
\(424\) | 6.41393 | − | 40.4959i | 0.311488 | − | 1.96666i | ||||
\(425\) | −4.09847 | + | 19.2818i | −0.198805 | + | 0.935304i | ||||
\(426\) | −1.21325 | + | 1.34745i | −0.0587820 | + | 0.0652841i | ||||
\(427\) | 0.440827 | − | 0.678814i | 0.0213331 | − | 0.0328501i | ||||
\(428\) | − | 19.2241i | − | 0.929234i | ||||||
\(429\) | 3.69722 | − | 7.32294i | 0.178504 | − | 0.353555i | ||||
\(430\) | 1.55717 | + | 0.505954i | 0.0750933 | + | 0.0243993i | ||||
\(431\) | 4.26838 | + | 5.27101i | 0.205601 | + | 0.253896i | 0.869508 | − | 0.493919i | \(-0.164436\pi\) |
−0.663907 | + | 0.747815i | \(0.731103\pi\) | |||||||
\(432\) | −0.294433 | + | 0.661308i | −0.0141659 | + | 0.0318172i | ||||
\(433\) | −8.10544 | + | 14.0390i | −0.389522 | + | 0.674672i | −0.992385 | − | 0.123172i | \(-0.960693\pi\) |
0.602863 | + | 0.797845i | \(0.294027\pi\) | |||||||
\(434\) | −0.314544 | − | 0.310789i | −0.0150986 | − | 0.0149183i | ||||
\(435\) | −6.85691 | − | 25.5903i | −0.328763 | − | 1.22696i | ||||
\(436\) | −7.84263 | + | 9.68485i | −0.375594 | + | 0.463820i | ||||
\(437\) | 7.56652 | − | 1.19842i | 0.361956 | − | 0.0573282i | ||||
\(438\) | −2.98137 | − | 3.31115i | −0.142456 | − | 0.158213i | ||||
\(439\) | 6.82672 | − | 3.94141i | 0.325821 | − | 0.188113i | −0.328163 | − | 0.944621i | \(-0.606430\pi\) |
0.653984 | + | 0.756508i | \(0.273096\pi\) | |||||||
\(440\) | −4.10309 | − | 1.09942i | −0.195607 | − | 0.0524128i | ||||
\(441\) | 13.9105 | + | 4.51978i | 0.662402 | + | 0.215228i | ||||
\(442\) | 21.0737 | − | 8.17885i | 1.00237 | − | 0.389028i | ||||
\(443\) | 6.05051 | + | 18.6216i | 0.287468 | + | 0.884737i | 0.985648 | + | 0.168814i | \(0.0539938\pi\) |
−0.698179 | + | 0.715923i | \(0.746006\pi\) | |||||||
\(444\) | 13.0428 | − | 5.00665i | 0.618983 | − | 0.237605i | ||||
\(445\) | 2.81342 | + | 13.2361i | 0.133369 | + | 0.627451i | ||||
\(446\) | −0.547047 | − | 5.20481i | −0.0259034 | − | 0.246455i | ||||
\(447\) | −3.56465 | − | 22.5063i | −0.168602 | − | 1.06451i | ||||
\(448\) | −0.415860 | + | 0.270063i | −0.0196475 | + | 0.0127593i | ||||
\(449\) | −9.86622 | + | 25.7024i | −0.465616 | + | 1.21297i | 0.476944 | + | 0.878934i | \(0.341744\pi\) |
−0.942560 | + | 0.334037i | \(0.891589\pi\) | |||||||
\(450\) | −0.868691 | − | 5.48470i | −0.0409505 | − | 0.258551i | ||||
\(451\) | −2.10952 | + | 9.92453i | −0.0993336 | + | 0.467328i | ||||
\(452\) | −10.2937 | − | 1.08191i | −0.484175 | − | 0.0508888i | ||||
\(453\) | 13.4299 | + | 34.9861i | 0.630991 | + | 1.64379i | ||||
\(454\) | −17.3960 | − | 5.65232i | −0.816437 | − | 0.265276i | ||||
\(455\) | 0.367265 | + | 0.264767i | 0.0172176 | + | 0.0124125i | ||||
\(456\) | 7.81345 | − | 2.53874i | 0.365898 | − | 0.118887i | ||||
\(457\) | −2.90222 | + | 0.152099i | −0.135760 | + | 0.00711489i | −0.120095 | − | 0.992762i | \(-0.538320\pi\) |
−0.0156652 | + | 0.999877i | \(0.504987\pi\) | |||||||
\(458\) | 4.43759 | + | 20.8772i | 0.207355 | + | 0.975528i | ||||
\(459\) | 12.1105 | + | 6.99200i | 0.565270 | + | 0.326359i | ||||
\(460\) | −7.24370 | − | 7.24370i | −0.337739 | − | 0.337739i | ||||
\(461\) | 0.522544 | − | 9.97074i | 0.0243373 | − | 0.464384i | −0.959092 | − | 0.283094i | \(-0.908639\pi\) |
0.983430 | − | 0.181290i | \(-0.0580274\pi\) | |||||||
\(462\) | −0.168692 | − | 0.0647548i | −0.00784826 | − | 0.00301267i | ||||
\(463\) | 0.587548 | − | 3.70963i | 0.0273057 | − | 0.172401i | −0.970267 | − | 0.242038i | \(-0.922184\pi\) |
0.997572 | + | 0.0696369i | \(0.0221841\pi\) | |||||||
\(464\) | −2.47182 | − | 1.42711i | −0.114751 | − | 0.0662518i | ||||
\(465\) | 7.32403 | − | 16.7195i | 0.339644 | − | 0.775348i | ||||
\(466\) | 6.31256 | − | 23.5588i | 0.292424 | − | 1.09134i | ||||
\(467\) | −7.39518 | − | 10.1786i | −0.342208 | − | 0.471009i | 0.602876 | − | 0.797835i | \(-0.294021\pi\) |
−0.945085 | + | 0.326825i | \(0.894021\pi\) | |||||||
\(468\) | 6.45536 | − | 5.85575i | 0.298399 | − | 0.270682i | ||||
\(469\) | 0.0732079 | − | 0.225311i | 0.00338043 | − | 0.0104039i | ||||
\(470\) | −6.68257 | − | 1.79059i | −0.308244 | − | 0.0825937i | ||||
\(471\) | 3.18981 | − | 1.84164i | 0.146979 | − | 0.0848581i | ||||
\(472\) | −21.7716 | + | 19.6032i | −1.00212 | + | 0.902311i | ||||
\(473\) | −1.10181 | − | 0.561400i | −0.0506612 | − | 0.0258132i | ||||
\(474\) | 0.713660 | − | 0.463456i | 0.0327795 | − | 0.0212873i | ||||
\(475\) | 2.28295 | − | 2.81920i | 0.104749 | − | 0.129354i | ||||
\(476\) | 0.309389 | + | 0.607210i | 0.0141808 | + | 0.0278314i | ||||
\(477\) | 29.4141 | − | 3.09155i | 1.34678 | − | 0.141552i | ||||
\(478\) | 1.67634 | − | 15.9493i | 0.0766741 | − | 0.729505i | ||||
\(479\) | 25.5910 | − | 1.34117i | 1.16928 | − | 0.0612796i | 0.542213 | − | 0.840241i | \(-0.317587\pi\) |
0.627071 | + | 0.778962i | \(0.284253\pi\) | |||||||
\(480\) | −14.5207 | − | 10.5499i | −0.662777 | − | 0.481536i | ||||
\(481\) | −19.2939 | − | 0.939711i | −0.879725 | − | 0.0428471i | ||||
\(482\) | 10.6755 | − | 3.46868i | 0.486255 | − | 0.157994i | ||||
\(483\) | −0.748835 | − | 0.924735i | −0.0340732 | − | 0.0420769i | ||||
\(484\) | −10.5398 | − | 4.69260i | −0.479080 | − | 0.213300i | ||||
\(485\) | −14.0784 | + | 12.6762i | −0.639265 | + | 0.575597i | ||||
\(486\) | −16.7418 | − | 2.65164i | −0.759423 | − | 0.120281i | ||||
\(487\) | 19.4496 | + | 29.9498i | 0.881347 | + | 1.35716i | 0.933523 | + | 0.358518i | \(0.116718\pi\) |
−0.0521756 | + | 0.998638i | \(0.516616\pi\) | |||||||
\(488\) | 22.7741 | − | 14.7897i | 1.03093 | − | 0.669497i | ||||
\(489\) | 20.1824 | + | 39.6101i | 0.912678 | + | 1.79123i | ||||
\(490\) | −4.66762 | + | 8.08456i | −0.210862 | + | 0.365223i | ||||
\(491\) | 13.9466 | + | 24.1562i | 0.629402 | + | 1.09016i | 0.987672 | + | 0.156538i | \(0.0500334\pi\) |
−0.358270 | + | 0.933618i | \(0.616633\pi\) | |||||||
\(492\) | −14.2917 | + | 22.0072i | −0.644318 | + | 0.992162i | ||||
\(493\) | −32.4088 | + | 44.6069i | −1.45962 | + | 2.00899i | ||||
\(494\) | −4.13874 | − | 0.419551i | −0.186211 | − | 0.0188765i | ||||
\(495\) | − | 3.06420i | − | 0.137726i | ||||||
\(496\) | −0.715745 | − | 1.83163i | −0.0321379 | − | 0.0822426i | ||||
\(497\) | 0.0377898 | + | 0.0654539i | 0.00169510 | + | 0.00293601i | ||||
\(498\) | 12.4452 | − | 1.30804i | 0.557683 | − | 0.0586148i | ||||
\(499\) | 5.20786 | + | 32.8812i | 0.233136 | + | 1.47196i | 0.775248 | + | 0.631657i | \(0.217625\pi\) |
−0.542112 | + | 0.840306i | \(0.682375\pi\) | |||||||
\(500\) | −13.2278 | − | 0.693240i | −0.591565 | − | 0.0310026i | ||||
\(501\) | −33.0194 | + | 8.84752i | −1.47520 | + | 0.395278i | ||||
\(502\) | −1.72091 | + | 1.72091i | −0.0768079 | + | 0.0768079i | ||||
\(503\) | 3.84106 | + | 4.26593i | 0.171264 | + | 0.190208i | 0.822666 | − | 0.568524i | \(-0.192486\pi\) |
−0.651402 | + | 0.758733i | \(0.725819\pi\) | |||||||
\(504\) | −0.389570 | − | 0.350770i | −0.0173528 | − | 0.0156245i | ||||
\(505\) | −4.20923 | + | 0.220596i | −0.187308 | + | 0.00981640i | ||||
\(506\) | −3.32270 | − | 4.57331i | −0.147712 | − | 0.203308i | ||||
\(507\) | −27.8308 | + | 9.27060i | −1.23601 | + | 0.411722i | ||||
\(508\) | −1.99682 | − | 2.74839i | −0.0885947 | − | 0.121940i | ||||
\(509\) | 10.9657 | − | 8.87981i | 0.486044 | − | 0.393591i | −0.354737 | − | 0.934966i | \(-0.615430\pi\) |
0.840781 | + | 0.541376i | \(0.182096\pi\) | |||||||
\(510\) | 13.7533 | − | 15.2746i | 0.609007 | − | 0.676371i | ||||
\(511\) | −0.169669 | + | 0.0755414i | −0.00750570 | + | 0.00334175i | ||||
\(512\) | −3.93297 | + | 0.622921i | −0.173814 | + | 0.0275295i | ||||
\(513\) | −1.40159 | − | 2.15826i | −0.0618817 | − | 0.0952895i | ||||
\(514\) | 16.0630 | + | 6.16602i | 0.708510 | + | 0.271972i | ||||
\(515\) | 15.2965 | + | 2.42272i | 0.674043 | + | 0.106758i | ||||
\(516\) | −2.13995 | − | 2.37666i | −0.0942062 | − | 0.104627i | ||||
\(517\) | 4.77338 | + | 2.12525i | 0.209933 | + | 0.0934683i | ||||
\(518\) | 0.0222682 | + | 0.424903i | 0.000978409 | + | 0.0186692i | ||||
\(519\) | 3.89468 | + | 11.9866i | 0.170957 | + | 0.526153i | ||||
\(520\) | 7.64342 | + | 13.1266i | 0.335186 | + | 0.575639i | ||||
\(521\) | −17.2597 | −0.756159 | −0.378080 | − | 0.925773i | \(-0.623415\pi\) | ||||
−0.378080 | + | 0.925773i | \(0.623415\pi\) | |||||||
\(522\) | 4.02004 | − | 15.0030i | 0.175953 | − | 0.656664i | ||||
\(523\) | −4.18790 | − | 19.7025i | −0.183124 | − | 0.861530i | −0.969750 | − | 0.244101i | \(-0.921507\pi\) |
0.786626 | − | 0.617430i | \(-0.211826\pi\) | |||||||
\(524\) | −3.42649 | − | 7.69602i | −0.149687 | − | 0.336202i | ||||
\(525\) | −0.556521 | − | 0.0881443i | −0.0242886 | − | 0.00384693i | ||||
\(526\) | −14.4594 | + | 3.87438i | −0.630459 | + | 0.168931i | ||||
\(527\) | −36.6345 | + | 10.0523i | −1.59583 | + | 0.437887i | ||||
\(528\) | −0.568224 | − | 0.568224i | −0.0247288 | − | 0.0247288i | ||||
\(529\) | −1.48701 | − | 14.1479i | −0.0646525 | − | 0.615127i | ||||
\(530\) | −1.97318 | + | 18.7736i | −0.0857095 | + | 0.815471i | ||||
\(531\) | −17.7238 | − | 11.5100i | −0.769148 | − | 0.499491i | ||||
\(532\) | − | 0.125412i | − | 0.00543730i | ||||||
\(533\) | 30.3553 | − | 19.8728i | 1.31484 | − | 0.860785i | ||||
\(534\) | −5.96764 | + | 18.3665i | −0.258245 | + | 0.794797i | ||||
\(535\) | 1.26489 | + | 24.1355i | 0.0546858 | + | 1.04347i | ||||
\(536\) | 5.31835 | − | 5.90662i | 0.229718 | − | 0.255127i | ||||
\(537\) | 6.30442 | − | 0.662621i | 0.272056 | − | 0.0285942i | ||||
\(538\) | −1.53238 | + | 0.780786i | −0.0660656 | + | 0.0336621i | ||||
\(539\) | 4.43705 | − | 5.47930i | 0.191117 | − | 0.236010i | ||||
\(540\) | −1.23322 | + | 3.21265i | −0.0530694 | + | 0.138250i | ||||
\(541\) | −4.49097 | + | 8.81403i | −0.193082 | + | 0.378945i | −0.967169 | − | 0.254135i | \(-0.918209\pi\) |
0.774087 | + | 0.633079i | \(0.218209\pi\) | |||||||
\(542\) | 4.98571 | + | 11.1981i | 0.214155 | + | 0.480999i | ||||
\(543\) | 4.83687 | + | 0.508376i | 0.207570 | + | 0.0218165i | ||||
\(544\) | 1.95498 | + | 37.3033i | 0.0838193 | + | 1.59937i | ||||
\(545\) | 9.20902 | − | 12.6751i | 0.394471 | − | 0.542943i | ||||
\(546\) | 0.264987 | + | 0.589303i | 0.0113404 | + | 0.0252199i | ||||
\(547\) | −1.40096 | + | 4.31170i | −0.0599006 | + | 0.184355i | −0.976529 | − | 0.215385i | \(-0.930899\pi\) |
0.916629 | + | 0.399740i | \(0.130899\pi\) | |||||||
\(548\) | 5.04675 | + | 13.1472i | 0.215586 | + | 0.561622i | ||||
\(549\) | 14.5570 | + | 13.1072i | 0.621279 | + | 0.559402i | ||||
\(550\) | −2.61833 | − | 0.556544i | −0.111646 | − | 0.0237311i | ||||
\(551\) | 9.04079 | − | 4.60651i | 0.385150 | − | 0.196244i | ||||
\(552\) | −10.3324 | − | 38.5610i | −0.439776 | − | 1.64127i | ||||
\(553\) | −0.00918042 | − | 0.0342618i | −0.000390391 | − | 0.00145696i | ||||
\(554\) | 6.26299 | + | 12.2918i | 0.266089 | + | 0.522229i | ||||
\(555\) | −16.0455 | + | 7.14391i | −0.681093 | + | 0.303242i | ||||
\(556\) | 2.05979 | + | 0.917078i | 0.0873546 | + | 0.0388928i | ||||
\(557\) | 4.75057 | + | 1.27291i | 0.201288 | + | 0.0539350i | 0.358054 | − | 0.933701i | \(-0.383440\pi\) |
−0.156766 | + | 0.987636i | \(0.550107\pi\) | |||||||
\(558\) | 8.61976 | − | 6.34204i | 0.364903 | − | 0.268480i | ||||
\(559\) | 1.38197 | + | 4.20040i | 0.0584509 | + | 0.177658i | ||||
\(560\) | 0.0358808 | − | 0.0260689i | 0.00151624 | − | 0.00110161i | ||||
\(561\) | −12.0641 | + | 9.76933i | −0.509347 | + | 0.412461i | ||||
\(562\) | 1.32890 | − | 0.282467i | 0.0560564 | − | 0.0119152i | ||||
\(563\) | 9.80910 | + | 5.66329i | 0.413404 | + | 0.238679i | 0.692251 | − | 0.721656i | \(-0.256619\pi\) |
−0.278847 | + | 0.960335i | \(0.589952\pi\) | |||||||
\(564\) | 9.55541 | + | 9.55541i | 0.402355 | + | 0.402355i | ||||
\(565\) | 12.9947 | + | 0.681023i | 0.546691 | + | 0.0286509i | ||||
\(566\) | 8.87085 | + | 13.6599i | 0.372869 | + | 0.574169i | ||||
\(567\) | −0.427690 | + | 0.839389i | −0.0179613 | + | 0.0352510i | ||||
\(568\) | 0.265051 | + | 2.52179i | 0.0111213 | + | 0.105812i | ||||
\(569\) | 33.1302 | − | 7.04205i | 1.38889 | − | 0.295218i | 0.548026 | − | 0.836461i | \(-0.315380\pi\) |
0.840866 | + | 0.541243i | \(0.182046\pi\) | |||||||
\(570\) | −3.53125 | + | 1.35552i | −0.147908 | + | 0.0567765i | ||||
\(571\) | 10.0497 | + | 7.30156i | 0.420568 | + | 0.305561i | 0.777866 | − | 0.628430i | \(-0.216302\pi\) |
−0.357298 | + | 0.933990i | \(0.616302\pi\) | |||||||
\(572\) | −1.52009 | − | 3.91667i | −0.0635581 | − | 0.163764i | ||||
\(573\) | 31.8066 | − | 43.7780i | 1.32874 | − | 1.82885i | ||||
\(574\) | −0.502936 | − | 0.621074i | −0.0209921 | − | 0.0259231i | ||||
\(575\) | −13.0998 | − | 11.7951i | −0.546301 | − | 0.491891i | ||||
\(576\) | −4.88100 | − | 10.9629i | −0.203375 | − | 0.456788i | ||||
\(577\) | −0.162752 | + | 1.02757i | −0.00677544 | + | 0.0427784i | −0.990844 | − | 0.135009i | \(-0.956894\pi\) |
0.984069 | + | 0.177787i | \(0.0568938\pi\) | |||||||
\(578\) | −27.1186 | − | 1.42122i | −1.12798 | − | 0.0591151i | ||||
\(579\) | 8.28335 | + | 6.70773i | 0.344244 | + | 0.278764i | ||||
\(580\) | −12.0894 | − | 6.15987i | −0.501986 | − | 0.255775i | ||||
\(581\) | 0.108451 | − | 0.510221i | 0.00449930 | − | 0.0211675i | ||||
\(582\) | −26.4453 | + | 5.62112i | −1.09619 | + | 0.233003i | ||||
\(583\) | 3.68999 | − | 13.7712i | 0.152824 | − | 0.570346i | ||||
\(584\) | −6.23106 | −0.257843 | ||||||||
\(585\) | −7.71927 | + | 7.77650i | −0.319153 | + | 0.321519i | ||||
\(586\) | 13.6692 | + | 9.93129i | 0.564671 | + | 0.410258i | ||||
\(587\) | −7.68816 | − | 20.0284i | −0.317324 | − | 0.826659i | −0.995759 | − | 0.0919979i | \(-0.970675\pi\) |
0.678435 | − | 0.734661i | \(-0.262659\pi\) | |||||||
\(588\) | 15.7914 | − | 9.11718i | 0.651227 | − | 0.375986i | ||||
\(589\) | 6.84676 | + | 1.41241i | 0.282116 | + | 0.0581974i | ||||
\(590\) | 9.53766 | − | 9.53766i | 0.392659 | − | 0.392659i | ||||
\(591\) | −23.5457 | − | 19.0669i | −0.968540 | − | 0.784308i | ||||
\(592\) | −0.678120 | + | 1.76656i | −0.0278706 | + | 0.0726053i | ||||
\(593\) | −21.6940 | + | 11.0537i | −0.890867 | + | 0.453919i | −0.838621 | − | 0.544715i | \(-0.816638\pi\) |
−0.0522456 | + | 0.998634i | \(0.516638\pi\) | |||||||
\(594\) | −0.949465 | + | 1.64452i | −0.0389570 | + | 0.0674755i | ||||
\(595\) | −0.428383 | − | 0.741982i | −0.0175620 | − | 0.0304183i | ||||
\(596\) | −9.78743 | − | 6.35603i | −0.400909 | − | 0.260353i | ||||
\(597\) | 17.4144 | − | 5.65828i | 0.712723 | − | 0.231578i | ||||
\(598\) | −3.08844 | + | 19.9769i | −0.126296 | + | 0.816915i | ||||
\(599\) | −38.2526 | + | 27.7921i | −1.56296 | + | 1.13555i | −0.629425 | + | 0.777061i | \(0.716710\pi\) |
−0.933532 | + | 0.358494i | \(0.883290\pi\) | |||||||
\(600\) | −15.8542 | − | 10.2958i | −0.647244 | − | 0.420325i | ||||
\(601\) | −7.15935 | + | 16.0802i | −0.292036 | + | 0.655924i | −0.998665 | − | 0.0516610i | \(-0.983548\pi\) |
0.706629 | + | 0.707585i | \(0.250215\pi\) | |||||||
\(602\) | 0.0889797 | − | 0.0396163i | 0.00362654 | − | 0.00161464i | ||||
\(603\) | 5.10854 | + | 2.60293i | 0.208036 | + | 0.105999i | ||||
\(604\) | 17.9179 | + | 6.87805i | 0.729070 | + | 0.279864i | ||||
\(605\) | 13.5412 | + | 5.19797i | 0.550527 | + | 0.211328i | ||||
\(606\) | −5.35974 | − | 2.73093i | −0.217725 | − | 0.110936i | ||||
\(607\) | 13.0968 | − | 5.83107i | 0.531583 | − | 0.236676i | −0.123350 | − | 0.992363i | \(-0.539364\pi\) |
0.654932 | + | 0.755687i | \(0.272697\pi\) | |||||||
\(608\) | 2.79600 | − | 6.27992i | 0.113393 | − | 0.254684i | ||||
\(609\) | −1.32177 | − | 0.858366i | −0.0535607 | − | 0.0347827i | ||||
\(610\) | −10.1146 | + | 7.34868i | −0.409528 | + | 0.297539i | ||||
\(611\) | −6.76028 | − | 17.4186i | −0.273492 | − | 0.704680i | ||||
\(612\) | −15.6857 | + | 5.09660i | −0.634058 | + | 0.206018i | ||||
\(613\) | −9.91904 | − | 6.44150i | −0.400626 | − | 0.260170i | 0.328563 | − | 0.944482i | \(-0.393436\pi\) |
−0.729189 | + | 0.684312i | \(0.760102\pi\) | |||||||
\(614\) | −6.16009 | − | 10.6696i | −0.248601 | − | 0.430590i | ||||
\(615\) | 16.4948 | − | 28.5699i | 0.665136 | − | 1.15205i | ||||
\(616\) | −0.225154 | + | 0.114722i | −0.00907172 | + | 0.00462227i | ||||
\(617\) | −4.28349 | + | 11.1589i | −0.172447 | + | 0.449239i | −0.992379 | − | 0.123221i | \(-0.960678\pi\) |
0.819932 | + | 0.572460i | \(0.194011\pi\) | |||||||
\(618\) | 17.1767 | + | 13.9094i | 0.690948 | + | 0.559518i | ||||
\(619\) | −20.6887 | + | 20.6887i | −0.831547 | + | 0.831547i | −0.987728 | − | 0.156181i | \(-0.950082\pi\) |
0.156181 | + | 0.987728i | \(0.450082\pi\) | |||||||
\(620\) | −3.85352 | − | 8.51714i | −0.154761 | − | 0.342057i | ||||
\(621\) | −10.8296 | + | 6.25246i | −0.434576 | + | 0.250902i | ||||
\(622\) | 6.89385 | + | 17.9591i | 0.276418 | + | 0.720094i | ||||
\(623\) | 0.651245 | + | 0.473157i | 0.0260916 | + | 0.0189566i | ||||
\(624\) | 0.0106125 | + | 2.87353i | 0.000424839 | + | 0.115033i | ||||
\(625\) | 2.20708 | 0.0882834 | ||||||||
\(626\) | −1.68235 | + | 6.27860i | −0.0672401 | + | 0.250943i | ||||
\(627\) | 2.79433 | − | 0.593953i | 0.111595 | − | 0.0237202i | ||||
\(628\) | 0.392198 | − | 1.84515i | 0.0156504 | − | 0.0736294i | ||||
\(629\) | 32.5699 | + | 16.5952i | 1.29865 | + | 0.661694i | ||||
\(630\) | 0.187566 | + | 0.151888i | 0.00747283 | + | 0.00605138i | ||||
\(631\) | 32.6598 | + | 1.71163i | 1.30017 | + | 0.0681389i | 0.689812 | − | 0.723989i | \(-0.257693\pi\) |
0.610355 | + | 0.792128i | \(0.291027\pi\) | |||||||
\(632\) | 0.186161 | − | 1.17538i | 0.00740509 | − | 0.0467539i | ||||
\(633\) | 21.3275 | + | 47.9024i | 0.847692 | + | 1.90395i | ||||
\(634\) | −9.95683 | − | 8.96517i | −0.395436 | − | 0.356052i | ||||
\(635\) | 2.68780 | + | 3.31916i | 0.106662 | + | 0.131717i | ||||
\(636\) | 21.6728 | − | 29.8301i | 0.859383 | − | 1.18284i | ||||
\(637\) | −25.0639 | + | 2.72795i | −0.993068 | + | 0.108085i | ||||
\(638\) | −6.05731 | − | 4.40089i | −0.239811 | − | 0.174233i | ||||
\(639\) | −1.70764 | + | 0.655502i | −0.0675532 | + | 0.0259313i | ||||
\(640\) | −8.06896 | + | 1.71511i | −0.318954 | + | 0.0677957i | ||||
\(641\) | 1.16815 | + | 11.1142i | 0.0461391 | + | 0.438984i | 0.993068 | + | 0.117541i | \(0.0375012\pi\) |
−0.946929 | + | 0.321443i | \(0.895832\pi\) | |||||||
\(642\) | −15.6590 | + | 30.7325i | −0.618011 | + | 1.21291i | ||||
\(643\) | −13.9101 | − | 21.4197i | −0.548563 | − | 0.844712i | 0.450276 | − | 0.892889i | \(-0.351325\pi\) |
−0.998839 | + | 0.0481770i | \(0.984659\pi\) | |||||||
\(644\) | −0.608571 | − | 0.0318939i | −0.0239811 | − | 0.00125679i | ||||
\(645\) | 2.84304 | + | 2.84304i | 0.111945 | + | 0.111945i | ||||
\(646\) | 6.81743 | + | 3.93604i | 0.268228 | + | 0.154862i | ||||
\(647\) | −18.7190 | + | 3.97884i | −0.735920 | + | 0.156425i | −0.560600 | − | 0.828087i | \(-0.689429\pi\) |
−0.175320 | + | 0.984512i | \(0.556096\pi\) | |||||||
\(648\) | −24.5626 | + | 19.8904i | −0.964912 | + | 0.781370i | ||||
\(649\) | −8.24159 | + | 5.98787i | −0.323511 | + | 0.235044i | ||||
\(650\) | 5.24291 | + | 8.00847i | 0.205644 | + | 0.314118i | ||||
\(651\) | −0.341743 | − | 1.03068i | −0.0133940 | − | 0.0403955i | ||||
\(652\) | 21.9919 | + | 5.89270i | 0.861267 | + | 0.230776i | ||||
\(653\) | 18.1777 | + | 8.09323i | 0.711348 | + | 0.316713i | 0.730318 | − | 0.683107i | \(-0.239372\pi\) |
−0.0189697 | + | 0.999820i | \(0.506039\pi\) | |||||||
\(654\) | 20.4263 | − | 9.09438i | 0.798732 | − | 0.355619i | ||||
\(655\) | 4.80825 | + | 9.43673i | 0.187874 | + | 0.368723i | ||||
\(656\) | −0.919876 | − | 3.43302i | −0.0359151 | − | 0.134037i | ||||
\(657\) | −1.16334 | − | 4.34166i | −0.0453864 | − | 0.169384i | ||||
\(658\) | −0.366701 | + | 0.186844i | −0.0142955 | + | 0.00728392i | ||||
\(659\) | −36.3484 | − | 7.72610i | −1.41593 | − | 0.300966i | −0.564503 | − | 0.825431i | \(-0.690932\pi\) |
−0.851432 | + | 0.524465i | \(0.824265\pi\) | |||||||
\(660\) | −2.83888 | − | 2.55613i | −0.110503 | − | 0.0994974i | ||||
\(661\) | −3.74188 | − | 9.74792i | −0.145542 | − | 0.379150i | 0.841359 | − | 0.540477i | \(-0.181756\pi\) |
−0.986901 | + | 0.161327i | \(0.948423\pi\) | |||||||
\(662\) | 9.43468 | − | 29.0370i | 0.366689 | − | 1.12855i | ||||
\(663\) | 55.2276 | + | 5.59852i | 2.14486 | + | 0.217429i | ||||
\(664\) | 10.2864 | − | 14.1580i | 0.399189 | − | 0.549437i | ||||
\(665\) | 0.00825170 | + | 0.157452i | 0.000319987 | + | 0.00610572i | ||||
\(666\) | −10.2409 | − | 1.07637i | −0.396828 | − | 0.0417083i | ||||
\(667\) | −20.0543 | − | 45.0426i | −0.776505 | − | 1.74406i | ||||
\(668\) | −7.94813 | + | 15.5991i | −0.307522 | + | 0.603547i | ||||
\(669\) | 4.60562 | − | 11.9981i | 0.178064 | − | 0.463872i | ||||
\(670\) | −2.30292 | + | 2.84387i | −0.0889694 | + | 0.109868i | ||||
\(671\) | 8.41333 | − | 4.28680i | 0.324793 | − | 0.165490i | ||||
\(672\) | −1.06188 | + | 0.111608i | −0.0409630 | + | 0.00430539i | ||||
\(673\) | 2.65096 | − | 2.94419i | 0.102187 | − | 0.113490i | −0.689882 | − | 0.723922i | \(-0.742337\pi\) |
0.792069 | + | 0.610432i | \(0.209004\pi\) | |||||||
\(674\) | −1.45400 | − | 27.7440i | −0.0560061 | − | 1.06866i | ||||
\(675\) | −1.82983 | + | 5.63163i | −0.0704301 | + | 0.216762i | ||||
\(676\) | −6.00902 | + | 13.7693i | −0.231116 | + | 0.529589i | ||||
\(677\) | − | 3.30816i | − | 0.127143i | −0.997977 | − | 0.0635715i | \(-0.979751\pi\) | ||
0.997977 | − | 0.0635715i | \(-0.0202491\pi\) | |||||||
\(678\) | 15.5747 | + | 10.1143i | 0.598141 | + | 0.388437i | ||||
\(679\) | −0.117800 | + | 1.12079i | −0.00452074 | + | 0.0430120i | ||||
\(680\) | −3.00461 | − | 28.5869i | −0.115221 | − | 1.09626i | ||||
\(681\) | −31.7613 | − | 31.7613i | −1.21710 | − | 1.21710i | ||||
\(682\) | −1.36504 | − | 4.97471i | −0.0522699 | − | 0.190492i | ||||
\(683\) | 38.3836 | − | 10.2848i | 1.46871 | − | 0.393539i | 0.566219 | − | 0.824255i | \(-0.308406\pi\) |
0.902488 | + | 0.430716i | \(0.141739\pi\) | |||||||
\(684\) | 2.99777 | + | 0.474801i | 0.114623 | + | 0.0181545i | ||||
\(685\) | −7.20112 | − | 16.1740i | −0.275141 | − | 0.617976i | ||||
\(686\) | 0.231046 | + | 1.08699i | 0.00882137 | + | 0.0415013i | ||||
\(687\) | −13.5654 | + | 50.6269i | −0.517553 | + | 1.93153i | ||||
\(688\) | 0.433165 | 0.0165142 | ||||||||
\(689\) | −44.0568 | + | 25.6536i | −1.67843 | + | 0.977325i | ||||
\(690\) | 5.67973 | + | 17.4804i | 0.216224 | + | 0.665468i | ||||
\(691\) | 1.01105 | + | 19.2920i | 0.0384622 | + | 0.733902i | 0.947998 | + | 0.318277i | \(0.103104\pi\) |
−0.909536 | + | 0.415626i | \(0.863563\pi\) | |||||||
\(692\) | 5.89674 | + | 2.62540i | 0.224160 | + | 0.0998027i | ||||
\(693\) | −0.121972 | − | 0.135464i | −0.00463333 | − | 0.00514583i | ||||
\(694\) | −15.4842 | − | 2.45246i | −0.587774 | − | 0.0930942i | ||||
\(695\) | −2.64636 | − | 1.01584i | −0.100382 | − | 0.0385331i | ||||
\(696\) | −28.7980 | − | 44.3450i | −1.09159 | − | 1.68089i | ||||
\(697\) | −67.8127 | + | 10.7405i | −2.56859 | + | 0.406825i | ||||
\(698\) | 18.0734 | − | 8.04679i | 0.684088 | − | 0.304576i | ||||
\(699\) | 40.0765 | − | 44.5094i | 1.51583 | − | 1.68350i | ||||
\(700\) | −0.224263 | + | 0.181604i | −0.00847634 | + | 0.00686400i | ||||
\(701\) | 23.6970 | + | 32.6162i | 0.895024 | + | 1.23190i | 0.972028 | + | 0.234864i | \(0.0754646\pi\) |
−0.0770038 | + | 0.997031i | \(0.524535\pi\) | |||||||
\(702\) | 6.55245 | − | 1.78168i | 0.247306 | − | 0.0672454i | ||||
\(703\) | −3.95398 | − | 5.44219i | −0.149127 | − | 0.205256i | ||||
\(704\) | −5.77681 | + | 0.302750i | −0.217722 | + | 0.0114103i | ||||
\(705\) | −12.6253 | − | 11.3679i | −0.475497 | − | 0.428139i | ||||
\(706\) | 8.64449 | + | 9.60068i | 0.325340 | + | 0.361327i | ||||
\(707\) | −0.177302 | + | 0.177302i | −0.00666814 | + | 0.00666814i | ||||
\(708\) | −25.4487 | + | 6.81895i | −0.956420 | + | 0.256272i | ||||
\(709\) | 5.19799 | + | 0.272415i | 0.195214 | + | 0.0102308i | 0.149693 | − | 0.988733i | \(-0.452172\pi\) |
0.0455219 | + | 0.998963i | \(0.485505\pi\) | |||||||
\(710\) | −0.182628 | − | 1.15307i | −0.00685392 | − | 0.0432739i | ||||
\(711\) | 0.853731 | − | 0.0897307i | 0.0320174 | − | 0.00336516i | ||||
\(712\) | 13.5035 | + | 23.3888i | 0.506066 | + | 0.876532i | ||||
\(713\) | 8.59506 | − | 32.8653i | 0.321888 | − | 1.23081i | ||||
\(714\) | − | 1.22272i | − | 0.0457593i | ||||||
\(715\) | 2.16614 | + | 4.81727i | 0.0810090 | + | 0.180156i | ||||
\(716\) | 1.90828 | − | 2.62652i | 0.0713157 | − | 0.0981577i | ||||
\(717\) | 21.4489 | − | 33.0285i | 0.801025 | − | 1.23347i | ||||
\(718\) | 5.58666 | + | 9.67638i | 0.208492 | + | 0.361119i | ||||
\(719\) | 8.49532 | − | 14.7143i | 0.316822 | − | 0.548752i | −0.663001 | − | 0.748618i | \(-0.730718\pi\) |
0.979823 | + | 0.199867i | \(0.0640509\pi\) | |||||||
\(720\) | 0.487295 | + | 0.956369i | 0.0181604 | + | 0.0356418i | ||||
\(721\) | 0.772671 | − | 0.501778i | 0.0287758 | − | 0.0186872i | ||||
\(722\) | 8.71978 | + | 13.4273i | 0.324517 | + | 0.499712i | ||||
\(723\) | 27.2252 | + | 4.31204i | 1.01252 | + | 0.160367i | ||||
\(724\) | 1.85104 | − | 1.66669i | 0.0687935 | − | 0.0619419i | ||||
\(725\) | −21.3290 | − | 9.49630i | −0.792141 | − | 0.352684i | ||||
\(726\) | 13.0269 | + | 16.0869i | 0.483475 | + | 0.597041i | ||||
\(727\) | 5.40325 | − | 1.75562i | 0.200395 | − | 0.0651124i | −0.207100 | − | 0.978320i | \(-0.566402\pi\) |
0.407495 | + | 0.913207i | \(0.366402\pi\) | |||||||
\(728\) | 0.860413 | + | 0.276056i | 0.0318890 | + | 0.0102313i | ||||
\(729\) | −7.22051 | − | 5.24601i | −0.267426 | − | 0.194297i | ||||
\(730\) | 2.86488 | − | 0.150142i | 0.106034 | − | 0.00555701i | ||||
\(731\) | 0.874672 | − | 8.32195i | 0.0323509 | − | 0.307799i | ||||
\(732\) | 24.2867 | − | 2.55264i | 0.897664 | − | 0.0943483i | ||||
\(733\) | −15.7955 | − | 31.0004i | −0.583420 | − | 1.14503i | −0.974441 | − | 0.224645i | \(-0.927878\pi\) |
0.391020 | − | 0.920382i | \(-0.372122\pi\) | |||||||
\(734\) | −12.5406 | + | 15.4864i | −0.462883 | + | 0.571613i | ||||
\(735\) | −19.2259 | + | 12.4854i | −0.709157 | + | 0.460532i | ||||
\(736\) | −29.7628 | − | 15.1649i | −1.09707 | − | 0.558985i | ||||
\(737\) | 2.05389 | − | 1.84933i | 0.0756559 | − | 0.0681209i | ||||
\(738\) | 16.7499 | − | 9.67054i | 0.616571 | − | 0.355978i | ||||
\(739\) | 25.6596 | + | 6.87547i | 0.943904 | + | 0.252918i | 0.697774 | − | 0.716318i | \(-0.254174\pi\) |
0.246131 | + | 0.969237i | \(0.420841\pi\) | |||||||
\(740\) | −2.77970 | + | 8.55503i | −0.102184 | + | 0.314489i | ||||
\(741\) | −8.58788 | − | 5.53205i | −0.315484 | − | 0.203225i | ||||
\(742\) | 0.660059 | + | 0.908493i | 0.0242315 | + | 0.0333518i | ||||
\(743\) | −11.4778 | + | 42.8357i | −0.421079 | + | 1.57149i | 0.351260 | + | 0.936278i | \(0.385753\pi\) |
−0.772339 | + | 0.635210i | \(0.780914\pi\) | |||||||
\(744\) | 3.59040 | − | 36.2530i | 0.131631 | − | 1.32910i | ||||
\(745\) | 12.7061 | + | 7.33587i | 0.465516 | + | 0.268766i | ||||
\(746\) | −0.292752 | + | 1.84836i | −0.0107184 | + | 0.0676734i | ||||
\(747\) | 11.7854 | + | 4.52401i | 0.431207 | + | 0.165525i | ||||
\(748\) | −0.416089 | + | 7.93944i | −0.0152137 | + | 0.290295i | ||||
\(749\) | 1.01664 | + | 1.01664i | 0.0371473 | + | 0.0371473i | ||||
\(750\) | 20.5818 | + | 11.8829i | 0.751542 | + | 0.433903i | ||||
\(751\) | −7.27364 | − | 34.2198i | −0.265419 | − | 1.24870i | −0.885678 | − | 0.464301i | \(-0.846306\pi\) |
0.620258 | − | 0.784397i | \(-0.287028\pi\) | |||||||
\(752\) | −1.82780 | + | 0.0957908i | −0.0666529 | + | 0.00349313i | ||||
\(753\) | −5.68392 | + | 1.84682i | −0.207134 | + | 0.0673018i | ||||
\(754\) | 4.28594 | + | 26.4283i | 0.156085 | + | 0.962460i | ||||
\(755\) | −22.9481 | − | 7.45629i | −0.835167 | − | 0.271362i | ||||
\(756\) | 0.0733622 | + | 0.191115i | 0.00266816 | + | 0.00695079i | ||||
\(757\) | 28.6115 | + | 3.00719i | 1.03990 | + | 0.109298i | 0.609056 | − | 0.793127i | \(-0.291548\pi\) |
0.430847 | + | 0.902425i | \(0.358215\pi\) | |||||||
\(758\) | −5.55383 | + | 26.1287i | −0.201724 | + | 0.949037i | ||||
\(759\) | −2.17157 | − | 13.7108i | −0.0788231 | − | 0.497669i | ||||
\(760\) | −1.89567 | + | 4.93839i | −0.0687632 | + | 0.179134i | ||||
\(761\) | −6.70162 | + | 4.35208i | −0.242933 | + | 0.157763i | −0.660363 | − | 0.750946i | \(-0.729598\pi\) |
0.417430 | + | 0.908709i | \(0.362931\pi\) | |||||||
\(762\) | 0.953506 | + | 6.02020i | 0.0345419 | + | 0.218089i | ||||
\(763\) | −0.0974228 | − | 0.926916i | −0.00352694 | − | 0.0335566i | ||||
\(764\) | −5.76196 | − | 27.1079i | −0.208460 | − | 0.980728i | ||||
\(765\) | 19.3577 | − | 7.43074i | 0.699880 | − | 0.268659i | ||||
\(766\) | 2.02845 | + | 6.24293i | 0.0732909 | + | 0.225566i | ||||
\(767\) | 36.0005 | + | 5.56570i | 1.29990 | + | 0.200966i | ||||
\(768\) | −35.8208 | − | 11.6389i | −1.29257 | − | 0.419982i | ||||
\(769\) | 6.86919 | + | 1.84059i | 0.247709 | + | 0.0663735i | 0.380537 | − | 0.924766i | \(-0.375739\pi\) |
−0.132828 | + | 0.991139i | \(0.542406\pi\) | |||||||
\(770\) | 0.100756 | − | 0.0581715i | 0.00363099 | − | 0.00209635i | ||||
\(771\) | 28.2720 | + | 31.3992i | 1.01819 | + | 1.13081i | ||||
\(772\) | 5.39158 | − | 0.853943i | 0.194047 | − | 0.0307341i | ||||
\(773\) | 2.22931 | − | 2.75297i | 0.0801827 | − | 0.0990174i | −0.735476 | − | 0.677551i | \(-0.763041\pi\) |
0.815659 | + | 0.578533i | \(0.196375\pi\) | |||||||
\(774\) | 0.610094 | + | 2.27690i | 0.0219294 | + | 0.0818416i | ||||
\(775\) | −7.38886 | − | 14.2887i | −0.265416 | − | 0.513266i | ||||
\(776\) | −18.9047 | + | 32.7439i | −0.678640 | + | 1.17544i | ||||
\(777\) | −0.424979 | + | 0.954519i | −0.0152460 | + | 0.0342432i | ||||
\(778\) | 11.1693 | + | 13.7929i | 0.400437 | + | 0.494499i | ||||
\(779\) | 12.0165 | + | 3.90440i | 0.430536 | + | 0.139890i | ||||
\(780\) | 0.765294 | + | 13.6387i | 0.0274019 | + | 0.488345i | ||||
\(781\) | 0.881723i | 0.0315505i | ||||||||
\(782\) | 20.8337 | − | 32.0811i | 0.745013 | − | 1.14722i | ||||
\(783\) | −11.0826 | + | 12.3084i | −0.396059 | + | 0.439868i | ||||
\(784\) | −0.513486 | + | 2.41576i | −0.0183388 | + | 0.0862772i | ||||
\(785\) | −0.370991 | + | 2.34235i | −0.0132412 | + | 0.0836019i | ||||
\(786\) | −0.791054 | + | 15.0942i | −0.0282160 | + | 0.538392i | ||||
\(787\) | 34.0287 | + | 27.5559i | 1.21299 | + | 0.982263i | 0.999986 | + | 0.00521190i | \(0.00165901\pi\) |
0.213007 | + | 0.977051i | \(0.431674\pi\) | |||||||
\(788\) | −15.3257 | + | 2.42736i | −0.545957 | + | 0.0864711i | ||||
\(789\) | −35.9567 | − | 7.64283i | −1.28009 | − | 0.272092i | ||||
\(790\) | −0.0572706 | + | 0.544894i | −0.00203760 | + | 0.0193864i | ||||
\(791\) | 0.601583 | − | 0.487153i | 0.0213898 | − | 0.0173212i | ||||
\(792\) | −1.88982 | − | 5.81628i | −0.0671520 | − | 0.206673i | ||||
\(793\) | −32.1510 | − | 10.3154i | −1.14172 | − | 0.366310i | ||||
\(794\) | 12.6423 | − | 9.18519i | 0.448659 | − | 0.325970i | ||||
\(795\) | −25.2470 | + | 38.8770i | −0.895419 | + | 1.37883i | ||||
\(796\) | 3.81424 | − | 8.56692i | 0.135192 | − | 0.303646i | ||||
\(797\) | −49.3882 | − | 10.4978i | −1.74942 | − | 0.371850i | −0.781655 | − | 0.623711i | \(-0.785624\pi\) |
−0.967764 | + | 0.251860i | \(0.918958\pi\) | |||||||
\(798\) | −0.102154 | + | 0.200489i | −0.00361621 | + | 0.00709722i | ||||
\(799\) | −1.85047 | + | 35.3090i | −0.0654649 | + | 1.24914i | ||||
\(800\) | −15.2786 | + | 4.09389i | −0.540180 | + | 0.144741i | ||||
\(801\) | −13.7756 | + | 13.7756i | −0.486738 | + | 0.486738i | ||||
\(802\) | 1.53814 | − | 1.38495i | 0.0543135 | − | 0.0489041i | ||||
\(803\) | −2.15483 | − | 0.226482i | −0.0760424 | − | 0.00799238i | ||||
\(804\) | 6.67302 | − | 2.56153i | 0.235339 | − | 0.0903383i | ||||
\(805\) | 0.766146 | 0.0270031 | ||||||||
\(806\) | −9.06793 | + | 16.0639i | −0.319404 | + | 0.565826i | ||||
\(807\) | −4.22332 | −0.148668 | ||||||||
\(808\) | −7.85365 | + | 3.01473i | −0.276290 | + | 0.106058i | ||||
\(809\) | 35.3794 | + | 3.71853i | 1.24387 | + | 0.130737i | 0.703504 | − | 0.710691i | \(-0.251617\pi\) |
0.540370 | + | 0.841427i | \(0.318284\pi\) | |||||||
\(810\) | 10.8140 | − | 9.73698i | 0.379966 | − | 0.342123i | ||||
\(811\) | 30.9352 | − | 30.9352i | 1.08628 | − | 1.08628i | 0.0903727 | − | 0.995908i | \(-0.471194\pi\) |
0.995908 | − | 0.0903727i | \(-0.0288058\pi\) | |||||||
\(812\) | −0.779651 | + | 0.208907i | −0.0273604 | + | 0.00733119i | ||||
\(813\) | −1.57537 | + | 30.0599i | −0.0552507 | + | 1.05425i | ||||
\(814\) | −2.25351 | + | 4.42276i | −0.0789855 | + | 0.155018i | ||||
\(815\) | −27.9980 | − | 5.95116i | −0.980727 | − | 0.208460i | ||||
\(816\) | 2.21174 | − | 4.96764i | 0.0774263 | − | 0.173902i | ||||
\(817\) | −0.838688 | + | 1.29147i | −0.0293420 | + | 0.0451827i | ||||
\(818\) | 0.552613 | − | 0.401497i | 0.0193217 | − | 0.0140380i | ||||
\(819\) | −0.0317098 | + | 0.651056i | −0.00110803 | + | 0.0227497i | ||||
\(820\) | −5.22100 | − | 16.0686i | −0.182325 | − | 0.561139i | ||||
\(821\) | −4.91064 | + | 3.97656i | −0.171383 | + | 0.138783i | −0.711174 | − | 0.703016i | \(-0.751836\pi\) |
0.539792 | + | 0.841799i | \(0.318503\pi\) | |||||||
\(822\) | 2.64111 | − | 25.1285i | 0.0921194 | − | 0.876457i | ||||
\(823\) | −28.7130 | − | 6.10313i | −1.00087 | − | 0.212742i | −0.321795 | − | 0.946809i | \(-0.604286\pi\) |
−0.679077 | + | 0.734067i | \(0.737620\pi\) | |||||||
\(824\) | 30.5290 | − | 4.83533i | 1.06353 | − | 0.168447i | ||||
\(825\) | −5.10848 | − | 4.13677i | −0.177855 | − | 0.144024i | ||||
\(826\) | 0.0419941 | − | 0.801296i | 0.00146116 | − | 0.0278807i | ||||
\(827\) | 7.33433 | − | 46.3071i | 0.255040 | − | 1.61026i | −0.444579 | − | 0.895740i | \(-0.646647\pi\) |
0.699619 | − | 0.714517i | \(-0.253353\pi\) | |||||||
\(828\) | 3.06638 | − | 14.4262i | 0.106564 | − | 0.501345i | ||||
\(829\) | 0.580163 | − | 0.644336i | 0.0201499 | − | 0.0223787i | −0.732986 | − | 0.680244i | \(-0.761874\pi\) |
0.753136 | + | 0.657865i | \(0.228540\pi\) | |||||||
\(830\) | −4.38827 | + | 6.75735i | −0.152319 | + | 0.234551i | ||||
\(831\) | 33.8769i | 1.17518i | ||||||||
\(832\) | 15.4234 | + | 13.7845i | 0.534709 | + | 0.477890i | ||||
\(833\) | 45.3747 | + | 14.7431i | 1.57214 | + | 0.510820i | ||||
\(834\) | −2.54586 | − | 3.14388i | −0.0881560 | − | 0.108864i | ||||
\(835\) | 8.95233 | − | 20.1073i | 0.309808 | − | 0.695840i | ||||
\(836\) | 0.731537 | − | 1.26706i | 0.0253007 | − | 0.0438221i | ||||
\(837\) | −11.2600 | + | 1.85278i | −0.389202 | + | 0.0640414i | ||||
\(838\) | −2.21870 | − | 8.28030i | −0.0766437 | − | 0.286038i | ||||
\(839\) | 34.4989 | − | 42.6026i | 1.19103 | − | 1.47080i | 0.344241 | − | 0.938881i | \(-0.388136\pi\) |
0.846793 | − | 0.531923i | \(-0.178530\pi\) | |||||||
\(840\) | 0.811506 | − | 0.128530i | 0.0279996 | − | 0.00443470i | ||||
\(841\) | −24.2924 | − | 26.9795i | −0.837670 | − | 0.930326i | ||||
\(842\) | −14.9914 | + | 8.65530i | −0.516639 | + | 0.298281i | ||||
\(843\) | 3.22257 | + | 0.863484i | 0.110991 | + | 0.0297400i | ||||
\(844\) | 25.5403 | + | 8.29854i | 0.879133 | + | 0.285648i | ||||
\(845\) | 6.63821 | − | 17.6824i | 0.228361 | − | 0.608294i | ||||
\(846\) | −3.07790 | − | 9.47279i | −0.105820 | − | 0.325681i | ||||
\(847\) | 0.805542 | − | 0.309219i | 0.0276787 | − | 0.0106249i | ||||
\(848\) | 1.03833 | + | 4.88495i | 0.0356564 | + | 0.167750i | ||||
\(849\) | 4.18080 | + | 39.7777i | 0.143485 | + | 1.36517i | ||||
\(850\) | −2.83360 | − | 17.8906i | −0.0971916 | − | 0.613643i | ||||
\(851\) | −27.4142 | + | 17.8030i | −0.939747 | + | 0.610279i | ||||
\(852\) | −0.817202 | + | 2.12888i | −0.0279969 | + | 0.0729344i | ||||
\(853\) | −7.84296 | − | 49.5185i | −0.268538 | − | 1.69548i | −0.641086 | − | 0.767469i | \(-0.721516\pi\) |
0.372549 | − | 0.928013i | \(-0.378484\pi\) | |||||||
\(854\) | −0.154633 | + | 0.727489i | −0.00529142 | + | 0.0248942i | ||||
\(855\) | −3.79488 | − | 0.398858i | −0.129782 | − | 0.0136406i | ||||
\(856\) | 17.2863 | + | 45.0324i | 0.590834 | + | 1.53918i | ||||
\(857\) | −24.2977 | − | 7.89482i | −0.829995 | − | 0.269682i | −0.136952 | − | 0.990578i | \(-0.543731\pi\) |
−0.693043 | + | 0.720896i | \(0.743731\pi\) | |||||||
\(858\) | −0.760240 | + | 7.49953i | −0.0259542 | + | 0.256030i | ||||
\(859\) | 43.6199 | − | 14.1730i | 1.48829 | − | 0.483575i | 0.551713 | − | 0.834034i | \(-0.313975\pi\) |
0.936578 | + | 0.350459i | \(0.113975\pi\) | |||||||
\(860\) | 2.05634 | − | 0.107768i | 0.0701207 | − | 0.00367487i | ||||
\(861\) | −0.408027 | − | 1.91962i | −0.0139055 | − | 0.0654203i | ||||
\(862\) | −5.39740 | − | 3.11619i | −0.183836 | − | 0.106138i | ||||
\(863\) | −16.1294 | − | 16.1294i | −0.549051 | − | 0.549051i | 0.377115 | − | 0.926166i | \(-0.376916\pi\) |
−0.926166 | + | 0.377115i | \(0.876916\pi\) | |||||||
\(864\) | −0.587257 | + | 11.2055i | −0.0199789 | + | 0.381220i | ||||
\(865\) | −7.57597 | − | 2.90814i | −0.257591 | − | 0.0988798i | ||||
\(866\) | 2.33024 | − | 14.7126i | 0.0791849 | − | 0.499954i | ||||
\(867\) | −57.7513 | − | 33.3428i | −1.96134 | − | 1.13238i | ||||
\(868\) | −0.509387 | − | 0.223138i | −0.0172897 | − | 0.00757381i | ||||
\(869\) | 0.107100 | − | 0.399703i | 0.00363312 | − | 0.0135590i | ||||
\(870\) | 14.3091 | + | 19.6948i | 0.485125 | + | 0.667717i | ||||
\(871\) | −9.87125 | − | 0.480781i | −0.334475 | − | 0.0162906i | ||||
\(872\) | 9.66271 | − | 29.7388i | 0.327221 | − | 1.00708i | ||||
\(873\) | −26.3447 | − | 7.05905i | −0.891634 | − | 0.238913i | ||||
\(874\) | −6.09634 | + | 3.51973i | −0.206212 | + | 0.119056i | ||||
\(875\) | 0.736195 | − | 0.662873i | 0.0248879 | − | 0.0224092i | ||||
\(876\) | −4.99284 | − | 2.54398i | −0.168693 | − | 0.0859532i | ||||
\(877\) | −3.85112 | + | 2.50095i | −0.130043 | + | 0.0844510i | −0.608021 | − | 0.793921i | \(-0.708036\pi\) |
0.477978 | + | 0.878372i | \(0.341370\pi\) | |||||||
\(878\) | −4.55843 | + | 5.62920i | −0.153840 | + | 0.189976i | ||||
\(879\) | 18.8366 | + | 36.9689i | 0.635343 | + | 1.24693i | ||||
\(880\) | 0.514572 | − | 0.0540837i | 0.0173462 | − | 0.00182316i | ||||
\(881\) | −4.90833 | + | 46.6996i | −0.165366 | + | 1.57335i | 0.525771 | + | 0.850626i | \(0.323777\pi\) |
−0.691137 | + | 0.722724i | \(0.742890\pi\) | |||||||
\(882\) | −13.4215 | + | 0.703392i | −0.451926 | + | 0.0236845i | ||||
\(883\) | 29.0466 | + | 21.1036i | 0.977496 | + | 0.710193i | 0.957148 | − | 0.289600i | \(-0.0935224\pi\) |
0.0203486 | + | 0.999793i | \(0.493522\pi\) | |||||||
\(884\) | 21.0568 | − | 19.1009i | 0.708218 | − | 0.642434i | ||||
\(885\) | 31.5016 | − | 10.2355i | 1.05891 | − | 0.344062i | ||||
\(886\) | −11.3225 | − | 13.9822i | −0.380388 | − | 0.469741i | ||||
\(887\) | −28.7200 | − | 12.7870i | −0.964324 | − | 0.429345i | −0.136690 | − | 0.990614i | \(-0.543647\pi\) |
−0.827633 | + | 0.561269i | \(0.810313\pi\) | |||||||
\(888\) | −26.0506 | + | 23.4561i | −0.874201 | + | 0.787135i | ||||
\(889\) | 0.250944 | + | 0.0397457i | 0.00841640 | + | 0.00133303i | ||||
\(890\) | −6.77215 | − | 10.4282i | −0.227003 | − | 0.349554i | ||||
\(891\) | −9.21725 | + | 5.98575i | −0.308789 | + | 0.200530i | ||||
\(892\) | −2.98812 | − | 5.86452i | −0.100050 | − | 0.196359i | ||||
\(893\) | 3.25336 | − | 5.63499i | 0.108870 | − | 0.188568i | ||||
\(894\) | 10.4693 | + | 18.1333i | 0.350145 | + | 0.606469i | ||||
\(895\) | −2.22298 | + | 3.42310i | −0.0743062 | + | 0.114421i | ||||
\(896\) | −0.288445 | + | 0.397011i | −0.00963628 | + | 0.0132632i | ||||
\(897\) | −29.0287 | + | 40.2665i | −0.969241 | + | 1.34446i | ||||
\(898\) | − | 25.2979i | − | 0.844202i | ||||||
\(899\) | −2.62453 | − | 44.9171i | −0.0875330 | − | 1.49807i | ||||
\(900\) | −3.49192 | − | 6.04819i | −0.116397 | − | 0.201606i | ||||
\(901\) | 95.9463 | − | 10.0844i | 3.19644 | − | 0.335959i | ||||
\(902\) | −1.45848 | − | 9.20849i | −0.0485621 | − | 0.306609i | ||||
\(903\) | 0.238855 | + | 0.0125179i | 0.00794859 | + | 0.000416568i | ||||
\(904\) | 25.0858 | − | 6.72171i | 0.834340 | − | 0.223561i | ||||
\(905\) | −2.21428 | + | 2.21428i | −0.0736052 | + | 0.0736052i | ||||
\(906\) | −23.0418 | − | 25.5905i | −0.765513 | − | 0.850189i | ||||
\(907\) | 9.55927 | + | 8.60720i | 0.317410 | + | 0.285798i | 0.812399 | − | 0.583102i | \(-0.198161\pi\) |
−0.494989 | + | 0.868899i | \(0.664828\pi\) | |||||||
\(908\) | −22.9726 | + | 1.20394i | −0.762373 | + | 0.0399543i | ||||
\(909\) | −3.56688 | − | 4.90939i | −0.118306 | − | 0.162834i | ||||
\(910\) | −0.402248 | − | 0.106191i | −0.0133344 | − | 0.00352021i | ||||
\(911\) | 2.46272 | + | 3.38965i | 0.0815937 | + | 0.112304i | 0.847863 | − | 0.530216i | \(-0.177889\pi\) |
−0.766269 | + | 0.642520i | \(0.777889\pi\) | |||||||
\(912\) | −0.777684 | + | 0.629756i | −0.0257517 | + | 0.0208533i | ||||
\(913\) | 4.07185 | − | 4.52225i | 0.134759 | − | 0.149665i | ||||
\(914\) | 2.43960 | − | 1.08618i | 0.0806948 | − | 0.0359276i | ||||
\(915\) | −30.3235 | + | 4.80277i | −1.00246 | + | 0.158775i | ||||
\(916\) | 14.6197 | + | 22.5124i | 0.483049 | + | 0.743830i | ||||
\(917\) | 0.588198 | + | 0.225788i | 0.0194240 | + | 0.00745618i | ||||
\(918\) | −12.6915 | − | 2.01014i | −0.418883 | − | 0.0663446i | ||||
\(919\) | −6.39056 | − | 7.09743i | −0.210805 | − | 0.234123i | 0.628465 | − | 0.777838i | \(-0.283684\pi\) |
−0.839270 | + | 0.543715i | \(0.817017\pi\) | |||||||
\(920\) | 23.4818 | + | 10.4548i | 0.774173 | + | 0.344684i | ||||
\(921\) | −1.58338 | − | 30.2128i | −0.0521743 | − | 0.995545i | ||||
\(922\) | 2.83510 | + | 8.72553i | 0.0933690 | + | 0.287360i | ||||
\(923\) | 2.22122 | − | 2.23768i | 0.0731123 | − | 0.0736543i | ||||
\(924\) | −0.227250 | −0.00747599 | ||||||||
\(925\) | −4.00616 | + | 14.9512i | −0.131722 | + | 0.491592i | ||||
\(926\) | 0.717551 | + | 3.37581i | 0.0235802 | + | 0.110936i | ||||
\(927\) | 9.06894 | + | 20.3692i | 0.297863 | + | 0.669011i | ||||
\(928\) | −43.6980 | − | 6.92108i | −1.43446 | − | 0.227196i | ||||
\(929\) | −19.5102 | + | 5.22774i | −0.640108 | + | 0.171516i | −0.564252 | − | 0.825602i | \(-0.690835\pi\) |
−0.0758557 | + | 0.997119i | \(0.524169\pi\) | |||||||
\(930\) | −0.777233 | + | 16.7547i | −0.0254865 | + | 0.549409i | ||||
\(931\) | −6.20831 | − | 6.20831i | −0.203469 | − | 0.203469i | ||||
\(932\) | −3.20631 | − | 30.5060i | −0.105026 | − | 0.999258i | ||||
\(933\) | −4.93783 | + | 46.9804i | −0.161657 | + | 1.53807i | ||||
\(934\) | 9.69581 | + | 6.29654i | 0.317257 | + | 0.206029i | ||||
\(935\) | − | 9.99517i | − | 0.326877i | ||||||
\(936\) | −9.85615 | + | 19.5217i | −0.322158 | + | 0.638086i | ||||
\(937\) | 10.0592 | − | 30.9591i | 0.328620 | − | 1.01139i | −0.641159 | − | 0.767408i | \(-0.721546\pi\) |
0.969780 | − | 0.243982i | \(-0.0784537\pi\) | |||||||
\(938\) | 0.0113930 | + | 0.217391i | 0.000371995 | + | 0.00709808i | ||||
\(939\) | −10.6807 | + | 11.8621i | −0.348551 | + | 0.387105i | ||||
\(940\) | −8.65318 | + | 0.909486i | −0.282236 | + | 0.0296642i | ||||
\(941\) | 36.0046 | − | 18.3452i | 1.17371 | − | 0.598038i | 0.245251 | − | 0.969460i | \(-0.421130\pi\) |
0.928464 | + | 0.371422i | \(0.121130\pi\) | |||||||
\(942\) | −2.12994 | + | 2.63026i | −0.0693973 | + | 0.0856986i | ||||
\(943\) | 22.0024 | − | 57.3181i | 0.716495 | − | 1.86653i | ||||
\(944\) | 1.62005 | − | 3.17952i | 0.0527280 | − | 0.103485i | ||||
\(945\) | −0.104679 | − | 0.235114i | −0.00340522 | − | 0.00764825i | ||||
\(946\) | 1.13006 | + | 0.118774i | 0.0367415 | + | 0.00386169i | ||||
\(947\) | −0.493467 | − | 9.41592i | −0.0160355 | − | 0.305976i | −0.994859 | − | 0.101270i | \(-0.967709\pi\) |
0.978823 | − | 0.204706i | \(-0.0656239\pi\) | |||||||
\(948\) | 0.629043 | − | 0.865804i | 0.0204304 | − | 0.0281200i | ||||
\(949\) | 4.89810 | + | 6.00318i | 0.158999 | + | 0.194872i | ||||
\(950\) | −1.03007 | + | 3.17024i | −0.0334200 | + | 0.102856i | ||||
\(951\) | −11.7909 | − | 30.7163i | −0.382345 | − | 0.996043i | ||||
\(952\) | −1.27074 | − | 1.14418i | −0.0411850 | − | 0.0370832i | ||||
\(953\) | 5.52836 | + | 1.17509i | 0.179081 | + | 0.0380648i | 0.296579 | − | 0.955008i | \(-0.404154\pi\) |
−0.117498 | + | 0.993073i | \(0.537487\pi\) | |||||||
\(954\) | −24.2150 | + | 12.3382i | −0.783990 | + | 0.399463i | ||||
\(955\) | 9.01762 | + | 33.6542i | 0.291803 | + | 1.08902i | ||||
\(956\) | −5.22019 | − | 19.4820i | −0.168833 | − | 0.630093i | ||||
\(957\) | −8.34714 | − | 16.3822i | −0.269825 | − | 0.529561i | ||||
\(958\) | −21.5118 | + | 9.57766i | −0.695014 | + | 0.309440i | ||||
\(959\) | −0.962163 | − | 0.428383i | −0.0310699 | − | 0.0138332i | ||||
\(960\) | 18.1677 | + | 4.86802i | 0.586360 | + | 0.157115i | ||||
\(961\) | 17.9189 | − | 25.2965i | 0.578028 | − | 0.816017i | ||||
\(962\) | 16.8608 | − | 5.54734i | 0.543614 | − | 0.178853i | ||||
\(963\) | −28.1502 | + | 20.4523i | −0.907126 | + | 0.659066i | ||||
\(964\) | 10.9710 | − | 8.88414i | 0.353352 | − | 0.286139i | ||||
\(965\) | −6.71282 | + | 1.42685i | −0.216093 | + | 0.0459321i | ||||
\(966\) | 0.946908 | + | 0.546697i | 0.0304663 | + | 0.0175897i | ||||
\(967\) | 29.4968 | + | 29.4968i | 0.948553 | + | 0.948553i | 0.998740 | − | 0.0501869i | \(-0.0159817\pi\) |
−0.0501869 | + | 0.998740i | \(0.515982\pi\) | |||||||
\(968\) | 28.9089 | + | 1.51505i | 0.929166 | + | 0.0486955i | ||||
\(969\) | 10.5285 | + | 16.2125i | 0.338225 | + | 0.520821i | ||||
\(970\) | 7.90293 | − | 15.5104i | 0.253748 | − | 0.498008i | ||||
\(971\) | 0.493576 | + | 4.69606i | 0.0158396 | + | 0.150704i | 0.999583 | − | 0.0288761i | \(-0.00919284\pi\) |
−0.983743 | + | 0.179580i | \(0.942526\pi\) | |||||||
\(972\) | −20.8520 | + | 4.43223i | −0.668829 | + | 0.142164i | ||||
\(973\) | −0.157428 | + | 0.0604308i | −0.00504690 | + | 0.00193732i | ||||
\(974\) | −26.5475 | − | 19.2879i | −0.850636 | − | 0.618023i | ||||
\(975\) | 2.54333 | + | 23.3677i | 0.0814518 | + | 0.748365i | ||||
\(976\) | −1.94416 | + | 2.67591i | −0.0622312 | + | 0.0856539i | ||||
\(977\) | 29.5825 | + | 36.5314i | 0.946428 | + | 1.16874i | 0.985529 | + | 0.169506i | \(0.0542174\pi\) |
−0.0391007 | + | 0.999235i | \(0.512449\pi\) | |||||||
\(978\) | −30.3572 | − | 27.3337i | −0.970715 | − | 0.874036i | ||||
\(979\) | 3.81968 | + | 8.57915i | 0.122078 | + | 0.274191i | ||||
\(980\) | −1.83662 | + | 11.5960i | −0.0586688 | + | 0.370420i | ||||
\(981\) | 22.5253 | + | 1.18050i | 0.719178 | + | 0.0376905i | ||||
\(982\) | −19.9188 | − | 16.1300i | −0.635636 | − | 0.514728i | ||||
\(983\) | 14.0317 | + | 7.14952i | 0.447543 | + | 0.228034i | 0.663211 | − | 0.748432i | \(-0.269193\pi\) |
−0.215669 | + | 0.976467i | \(0.569193\pi\) | |||||||
\(984\) | 13.6892 | − | 64.4028i | 0.436397 | − | 2.05309i | ||||
\(985\) | 19.0814 | − | 4.05588i | 0.607984 | − | 0.129231i | ||||
\(986\) | 13.1130 | − | 48.9385i | 0.417604 | − | 1.55852i | ||||
\(987\) | −1.01065 | −0.0321693 | ||||||||
\(988\) | −5.04848 | + | 1.37274i | −0.160614 | + | 0.0436727i | ||||
\(989\) | 6.05365 | + | 4.39824i | 0.192495 | + | 0.139856i | ||||
\(990\) | 1.00904 | + | 2.62864i | 0.0320695 | + | 0.0835438i | ||||
\(991\) | 4.73814 | − | 2.73557i | 0.150512 | − | 0.0868982i | −0.422853 | − | 0.906198i | \(-0.638971\pi\) |
0.573365 | + | 0.819300i | \(0.305638\pi\) | |||||||
\(992\) | −20.5324 | − | 22.5300i | −0.651905 | − | 0.715330i | ||||
\(993\) | 53.0150 | − | 53.0150i | 1.68238 | − | 1.68238i | ||||
\(994\) | −0.0539722 | − | 0.0437058i | −0.00171189 | − | 0.00138626i | ||||
\(995\) | −4.22501 | + | 11.0065i | −0.133942 | + | 0.348931i | ||||
\(996\) | 14.0227 | − | 7.14490i | 0.444325 | − | 0.226395i | ||||
\(997\) | 3.70049 | − | 6.40944i | 0.117196 | − | 0.202989i | −0.801460 | − | 0.598049i | \(-0.795943\pi\) |
0.918655 | + | 0.395060i | \(0.129276\pi\) | |||||||
\(998\) | −15.2954 | − | 26.4924i | −0.484166 | − | 0.838601i | ||||
\(999\) | 9.20899 | + | 5.98039i | 0.291359 | + | 0.189211i |
(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 | 403.2.cb.a.15.14 | ✓ | 576 | |
13.7 | odd | 12 | inner | 403.2.cb.a.46.14 | yes | 576 | |
31.29 | odd | 10 | inner | 403.2.cb.a.184.14 | yes | 576 | |
403.215 | even | 60 | inner | 403.2.cb.a.215.14 | yes | 576 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.cb.a.15.14 | ✓ | 576 | 1.1 | even | 1 | trivial | |
403.2.cb.a.46.14 | yes | 576 | 13.7 | odd | 12 | inner | |
403.2.cb.a.184.14 | yes | 576 | 31.29 | odd | 10 | inner | |
403.2.cb.a.215.14 | yes | 576 | 403.215 | even | 60 | inner |