Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [109,2,Mod(16,109)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(109, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("109.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 109 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 109.f (of order \(9\), degree \(6\), 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: | \(0.870369382032\) |
Analytic rank: | \(0\) |
Dimension: | \(42\) |
Relative dimension: | \(7\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 16.6 | ||
Character | \(\chi\) | \(=\) | 109.16 |
Dual form | 109.2.f.a.75.6 |
$q$-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 \(\left(\mathbb{Z}/109\mathbb{Z}\right)^\times\).
\(n\) | \(6\) |
\(\chi(n)\) | \(e\left(\frac{1}{9}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.05944 | + | 1.83500i | 0.749135 | + | 1.29754i | 0.948238 | + | 0.317562i | \(0.102864\pi\) |
−0.199102 | + | 0.979979i | \(0.563803\pi\) | |||||||
\(3\) | −1.78471 | + | 1.49755i | −1.03040 | + | 0.864610i | −0.990899 | − | 0.134610i | \(-0.957022\pi\) |
−0.0395032 | + | 0.999219i | \(0.512578\pi\) | |||||||
\(4\) | −1.24481 | + | 2.15608i | −0.622407 | + | 1.07804i | ||||
\(5\) | −0.222139 | − | 1.25981i | −0.0993436 | − | 0.563405i | −0.993330 | − | 0.115310i | \(-0.963214\pi\) |
0.893986 | − | 0.448095i | \(-0.147897\pi\) | |||||||
\(6\) | −4.63879 | − | 1.68838i | −1.89378 | − | 0.689278i | ||||
\(7\) | 0.247600 | + | 1.40421i | 0.0935839 | + | 0.530741i | 0.995172 | + | 0.0981455i | \(0.0312910\pi\) |
−0.901588 | + | 0.432595i | \(0.857598\pi\) | |||||||
\(8\) | −1.03746 | −0.366798 | ||||||||
\(9\) | 0.421589 | − | 2.39095i | 0.140530 | − | 0.796984i | ||||
\(10\) | 2.07641 | − | 1.74232i | 0.656619 | − | 0.550969i | ||||
\(11\) | 2.41194 | + | 2.02386i | 0.727226 | + | 0.610215i | 0.929374 | − | 0.369140i | \(-0.120348\pi\) |
−0.202148 | + | 0.979355i | \(0.564792\pi\) | |||||||
\(12\) | −1.00721 | − | 5.71215i | −0.290755 | − | 1.64895i | ||||
\(13\) | −0.714346 | − | 4.05126i | −0.198124 | − | 1.12362i | −0.907899 | − | 0.419188i | \(-0.862315\pi\) |
0.709776 | − | 0.704428i | \(-0.248796\pi\) | |||||||
\(14\) | −2.31440 | + | 1.94202i | −0.618551 | + | 0.519026i | ||||
\(15\) | 2.28308 | + | 1.91573i | 0.589490 | + | 0.494641i | ||||
\(16\) | 1.39050 | + | 2.40842i | 0.347626 | + | 0.602106i | ||||
\(17\) | −0.508278 | − | 0.880364i | −0.123276 | − | 0.213520i | 0.797782 | − | 0.602946i | \(-0.206007\pi\) |
−0.921058 | + | 0.389426i | \(0.872673\pi\) | |||||||
\(18\) | 4.83404 | − | 1.75945i | 1.13939 | − | 0.414706i | ||||
\(19\) | 1.95559 | + | 3.38717i | 0.448642 | + | 0.777071i | 0.998298 | − | 0.0583202i | \(-0.0185744\pi\) |
−0.549656 | + | 0.835391i | \(0.685241\pi\) | |||||||
\(20\) | 2.99278 | + | 1.08928i | 0.669206 | + | 0.243571i | ||||
\(21\) | −2.54476 | − | 2.13531i | −0.555313 | − | 0.465963i | ||||
\(22\) | −1.15848 | + | 6.57005i | −0.246988 | + | 1.40074i | ||||
\(23\) | 2.69078 | − | 4.66056i | 0.561066 | − | 0.971794i | −0.436338 | − | 0.899783i | \(-0.643725\pi\) |
0.997404 | − | 0.0720115i | \(-0.0229418\pi\) | |||||||
\(24\) | 1.85156 | − | 1.55365i | 0.377949 | − | 0.317137i | ||||
\(25\) | 3.16068 | − | 1.15039i | 0.632136 | − | 0.230079i | ||||
\(26\) | 6.67725 | − | 5.60287i | 1.30952 | − | 1.09881i | ||||
\(27\) | −0.666507 | − | 1.15442i | −0.128269 | − | 0.222169i | ||||
\(28\) | −3.33580 | − | 1.21413i | −0.630408 | − | 0.229450i | ||||
\(29\) | −8.13473 | + | 6.82585i | −1.51058 | + | 1.26753i | −0.647963 | + | 0.761672i | \(0.724379\pi\) |
−0.862618 | + | 0.505856i | \(0.831177\pi\) | |||||||
\(30\) | −1.09659 | + | 6.21906i | −0.200209 | + | 1.13544i | ||||
\(31\) | 1.50147 | − | 8.51524i | 0.269671 | − | 1.52938i | −0.485723 | − | 0.874113i | \(-0.661444\pi\) |
0.755395 | − | 0.655270i | \(-0.227445\pi\) | |||||||
\(32\) | −3.98376 | + | 6.90008i | −0.704237 | + | 1.21977i | ||||
\(33\) | −7.33543 | −1.27693 | ||||||||
\(34\) | 1.07698 | − | 1.86538i | 0.184700 | − | 0.319910i | ||||
\(35\) | 1.71404 | − | 0.623859i | 0.289725 | − | 0.105451i | ||||
\(36\) | 4.63028 | + | 3.88527i | 0.771714 | + | 0.647545i | ||||
\(37\) | 1.19572 | − | 6.78125i | 0.196575 | − | 1.11483i | −0.713584 | − | 0.700570i | \(-0.752929\pi\) |
0.910158 | − | 0.414260i | \(-0.135960\pi\) | |||||||
\(38\) | −4.14364 | + | 7.17700i | −0.672187 | + | 1.16426i | ||||
\(39\) | 7.34185 | + | 6.16054i | 1.17564 | + | 0.986476i | ||||
\(40\) | 0.230460 | + | 1.30701i | 0.0364390 | + | 0.206656i | ||||
\(41\) | −0.845707 | −0.132077 | −0.0660387 | − | 0.997817i | \(-0.521036\pi\) | ||||
−0.0660387 | + | 0.997817i | \(0.521036\pi\) | |||||||
\(42\) | 1.22227 | − | 6.93187i | 0.188601 | − | 1.06961i | ||||
\(43\) | −3.41014 | − | 5.90653i | −0.520041 | − | 0.900738i | −0.999729 | − | 0.0232985i | \(-0.992583\pi\) |
0.479687 | − | 0.877440i | \(-0.340750\pi\) | |||||||
\(44\) | −7.36601 | + | 2.68101i | −1.11047 | + | 0.404177i | ||||
\(45\) | −3.10580 | −0.462986 | ||||||||
\(46\) | 11.4028 | 1.68126 | ||||||||
\(47\) | −8.66865 | + | 3.15513i | −1.26445 | + | 0.460223i | −0.885261 | − | 0.465095i | \(-0.846020\pi\) |
−0.379192 | + | 0.925318i | \(0.623798\pi\) | |||||||
\(48\) | −6.08837 | − | 2.21599i | −0.878781 | − | 0.319850i | ||||
\(49\) | 4.66735 | − | 1.69878i | 0.666765 | − | 0.242682i | ||||
\(50\) | 5.45951 | + | 4.58108i | 0.772092 | + | 0.647862i | ||||
\(51\) | 2.22552 | + | 0.810022i | 0.311635 | + | 0.113426i | ||||
\(52\) | 9.62406 | + | 3.50287i | 1.33462 | + | 0.485761i | ||||
\(53\) | −0.934786 | − | 5.30143i | −0.128403 | − | 0.728208i | −0.979228 | − | 0.202760i | \(-0.935009\pi\) |
0.850826 | − | 0.525448i | \(-0.176102\pi\) | |||||||
\(54\) | 1.41224 | − | 2.44608i | 0.192182 | − | 0.332869i | ||||
\(55\) | 2.01389 | − | 3.48817i | 0.271553 | − | 0.470344i | ||||
\(56\) | −0.256875 | − | 1.45681i | −0.0343264 | − | 0.194675i | ||||
\(57\) | −8.56261 | − | 3.11653i | −1.13415 | − | 0.412795i | ||||
\(58\) | −21.1437 | − | 7.69566i | −2.77630 | − | 1.01049i | ||||
\(59\) | 6.79940 | + | 5.70538i | 0.885207 | + | 0.742777i | 0.967243 | − | 0.253852i | \(-0.0816978\pi\) |
−0.0820359 | + | 0.996629i | \(0.526142\pi\) | |||||||
\(60\) | −6.97250 | + | 2.53778i | −0.900145 | + | 0.327626i | ||||
\(61\) | −4.57631 | − | 1.66564i | −0.585937 | − | 0.213264i | 0.0320045 | − | 0.999488i | \(-0.489811\pi\) |
−0.617941 | + | 0.786224i | \(0.712033\pi\) | |||||||
\(62\) | 17.2162 | − | 6.26617i | 2.18646 | − | 0.795805i | ||||
\(63\) | 3.46178 | 0.436143 | ||||||||
\(64\) | −11.3202 | −1.41502 | ||||||||
\(65\) | −4.94514 | + | 1.79988i | −0.613369 | + | 0.223248i | ||||
\(66\) | −7.77142 | − | 13.4605i | −0.956596 | − | 1.65687i | ||||
\(67\) | −1.40413 | + | 7.96321i | −0.171542 | + | 0.972861i | 0.770519 | + | 0.637417i | \(0.219997\pi\) |
−0.942060 | + | 0.335443i | \(0.891114\pi\) | |||||||
\(68\) | 2.53085 | 0.306910 | ||||||||
\(69\) | 2.17716 | + | 12.3473i | 0.262100 | + | 1.48644i | ||||
\(70\) | 2.96070 | + | 2.48432i | 0.353871 | + | 0.296933i | ||||
\(71\) | −4.98085 | + | 8.62709i | −0.591118 | + | 1.02385i | 0.402964 | + | 0.915216i | \(0.367980\pi\) |
−0.994082 | + | 0.108631i | \(0.965353\pi\) | |||||||
\(72\) | −0.437382 | + | 2.48052i | −0.0515460 | + | 0.292332i | ||||
\(73\) | 6.00331 | + | 5.03737i | 0.702634 | + | 0.589580i | 0.922522 | − | 0.385945i | \(-0.126125\pi\) |
−0.219888 | + | 0.975525i | \(0.570569\pi\) | |||||||
\(74\) | 13.7104 | − | 4.99017i | 1.59380 | − | 0.580095i | ||||
\(75\) | −3.91812 | + | 6.78639i | −0.452426 | + | 0.783625i | ||||
\(76\) | −9.73736 | −1.11695 | ||||||||
\(77\) | −2.24472 | + | 3.88797i | −0.255810 | + | 0.443075i | ||||
\(78\) | −3.52636 | + | 19.9990i | −0.399282 | + | 2.26444i | ||||
\(79\) | −1.46843 | + | 8.32787i | −0.165211 | + | 0.936959i | 0.783635 | + | 0.621221i | \(0.213363\pi\) |
−0.948846 | + | 0.315738i | \(0.897748\pi\) | |||||||
\(80\) | 2.72528 | − | 2.28678i | 0.304695 | − | 0.255670i | ||||
\(81\) | 9.76258 | + | 3.55329i | 1.08473 | + | 0.394810i | ||||
\(82\) | −0.895974 | − | 1.55187i | −0.0989438 | − | 0.171376i | ||||
\(83\) | −3.39627 | + | 2.84981i | −0.372789 | + | 0.312807i | −0.809864 | − | 0.586618i | \(-0.800459\pi\) |
0.437074 | + | 0.899425i | \(0.356015\pi\) | |||||||
\(84\) | 7.77166 | − | 2.82865i | 0.847958 | − | 0.308631i | ||||
\(85\) | −0.996185 | + | 0.835899i | −0.108051 | + | 0.0906660i | ||||
\(86\) | 7.22566 | − | 12.5152i | 0.779163 | − | 1.34955i | ||||
\(87\) | 4.29608 | − | 24.3643i | 0.460588 | − | 2.61213i | ||||
\(88\) | −2.50229 | − | 2.09967i | −0.266745 | − | 0.223826i | ||||
\(89\) | −3.01949 | − | 1.09901i | −0.320066 | − | 0.116494i | 0.176991 | − | 0.984212i | \(-0.443364\pi\) |
−0.497057 | + | 0.867718i | \(0.665586\pi\) | |||||||
\(90\) | −3.29040 | − | 5.69914i | −0.346839 | − | 0.600742i | ||||
\(91\) | 5.51194 | − | 2.00618i | 0.577808 | − | 0.210305i | ||||
\(92\) | 6.69903 | + | 11.6031i | 0.698422 | + | 1.20970i | ||||
\(93\) | 10.0723 | + | 17.4457i | 1.04445 | + | 1.80904i | ||||
\(94\) | −14.9736 | − | 12.5643i | −1.54440 | − | 1.29591i | ||||
\(95\) | 3.83279 | − | 3.21610i | 0.393236 | − | 0.329964i | ||||
\(96\) | −3.22335 | − | 18.2805i | −0.328982 | − | 1.86575i | ||||
\(97\) | −1.81711 | − | 10.3053i | −0.184499 | − | 1.04635i | −0.926597 | − | 0.376056i | \(-0.877280\pi\) |
0.742097 | − | 0.670292i | \(-0.233831\pi\) | |||||||
\(98\) | 8.06202 | + | 6.76484i | 0.814387 | + | 0.683352i | ||||
\(99\) | 5.85579 | − | 4.91359i | 0.588529 | − | 0.493834i | ||||
\(100\) | −1.45412 | + | 8.24671i | −0.145412 | + | 0.824671i | ||||
\(101\) | −5.38628 | −0.535955 | −0.267977 | − | 0.963425i | \(-0.586355\pi\) | ||||
−0.267977 | + | 0.963425i | \(0.586355\pi\) | |||||||
\(102\) | 0.871406 | + | 4.94199i | 0.0862820 | + | 0.489330i | ||||
\(103\) | 7.79087 | + | 2.83564i | 0.767657 | + | 0.279404i | 0.696016 | − | 0.718026i | \(-0.254954\pi\) |
0.0716411 | + | 0.997430i | \(0.477176\pi\) | |||||||
\(104\) | 0.741105 | + | 4.20302i | 0.0726714 | + | 0.412140i | ||||
\(105\) | −2.12480 | + | 3.68026i | −0.207359 | + | 0.359157i | ||||
\(106\) | 8.73778 | − | 7.33187i | 0.848688 | − | 0.712134i | ||||
\(107\) | −2.43904 | − | 4.22453i | −0.235790 | − | 0.408401i | 0.723712 | − | 0.690102i | \(-0.242435\pi\) |
−0.959502 | + | 0.281701i | \(0.909101\pi\) | |||||||
\(108\) | 3.31871 | 0.319343 | ||||||||
\(109\) | −8.96881 | − | 5.34420i | −0.859056 | − | 0.511882i | ||||
\(110\) | 8.53438 | 0.813721 | ||||||||
\(111\) | 8.02124 | + | 13.8932i | 0.761343 | + | 1.31868i | ||||
\(112\) | −3.03764 | + | 2.54888i | −0.287030 | + | 0.240847i | ||||
\(113\) | 3.35209 | − | 5.80600i | 0.315338 | − | 0.546182i | −0.664171 | − | 0.747581i | \(-0.731215\pi\) |
0.979509 | + | 0.201399i | \(0.0645486\pi\) | |||||||
\(114\) | −3.35271 | − | 19.0141i | −0.314010 | − | 1.78084i | ||||
\(115\) | −6.46916 | − | 2.35458i | −0.603253 | − | 0.219566i | ||||
\(116\) | −4.59086 | − | 26.0360i | −0.426250 | − | 2.41739i | ||||
\(117\) | −9.98751 | −0.923346 | ||||||||
\(118\) | −3.26582 | + | 18.5214i | −0.300643 | + | 1.70503i | ||||
\(119\) | 1.11036 | − | 0.931707i | 0.101787 | − | 0.0854094i | ||||
\(120\) | −2.36861 | − | 1.98750i | −0.216223 | − | 0.181433i | ||||
\(121\) | −0.188681 | − | 1.07006i | −0.0171528 | − | 0.0972783i | ||||
\(122\) | −1.79187 | − | 10.1622i | −0.162228 | − | 0.920040i | ||||
\(123\) | 1.50934 | − | 1.26649i | 0.136093 | − | 0.114195i | ||||
\(124\) | 16.4905 | + | 13.8372i | 1.48089 | + | 1.24262i | ||||
\(125\) | −5.34951 | − | 9.26562i | −0.478475 | − | 0.828743i | ||||
\(126\) | 3.66754 | + | 6.35236i | 0.326730 | + | 0.565913i | ||||
\(127\) | 3.98252 | − | 1.44952i | 0.353392 | − | 0.128624i | −0.159223 | − | 0.987243i | \(-0.550899\pi\) |
0.512615 | + | 0.858618i | \(0.328677\pi\) | |||||||
\(128\) | −4.02548 | − | 6.97234i | −0.355806 | − | 0.616274i | ||||
\(129\) | 14.9314 | + | 5.43459i | 1.31464 | + | 0.478489i | ||||
\(130\) | −8.54185 | − | 7.16746i | −0.749170 | − | 0.628628i | ||||
\(131\) | 0.262815 | − | 1.49050i | 0.0229622 | − | 0.130225i | −0.971172 | − | 0.238381i | \(-0.923383\pi\) |
0.994134 | + | 0.108156i | \(0.0344945\pi\) | |||||||
\(132\) | 9.13124 | − | 15.8158i | 0.794773 | − | 1.37659i | ||||
\(133\) | −4.27210 | + | 3.58471i | −0.370438 | + | 0.310834i | ||||
\(134\) | −16.1001 | + | 5.85994i | −1.39083 | + | 0.506222i | ||||
\(135\) | −1.30630 | + | 1.09612i | −0.112428 | + | 0.0943387i | ||||
\(136\) | 0.527319 | + | 0.913343i | 0.0452172 | + | 0.0783185i | ||||
\(137\) | 21.8854 | + | 7.96563i | 1.86979 | + | 0.680550i | 0.969406 | + | 0.245464i | \(0.0789403\pi\) |
0.900389 | + | 0.435086i | \(0.143282\pi\) | |||||||
\(138\) | −20.3507 | + | 17.0763i | −1.73237 | + | 1.45363i | ||||
\(139\) | −0.805156 | + | 4.56626i | −0.0682924 | + | 0.387305i | 0.931434 | + | 0.363911i | \(0.118559\pi\) |
−0.999726 | + | 0.0233949i | \(0.992552\pi\) | |||||||
\(140\) | −0.788569 | + | 4.47219i | −0.0666462 | + | 0.377969i | ||||
\(141\) | 10.7461 | − | 18.6127i | 0.904981 | − | 1.56747i | ||||
\(142\) | −21.1076 | −1.77131 | ||||||||
\(143\) | 6.47620 | − | 11.2171i | 0.541567 | − | 0.938022i | ||||
\(144\) | 6.34464 | − | 2.30926i | 0.528720 | − | 0.192438i | ||||
\(145\) | 10.4063 | + | 8.73195i | 0.864199 | + | 0.725149i | ||||
\(146\) | −2.88345 | + | 16.3528i | −0.238636 | + | 1.35337i | ||||
\(147\) | −5.78586 | + | 10.0214i | −0.477210 | + | 0.826552i | ||||
\(148\) | 13.1325 | + | 11.0195i | 1.07948 | + | 0.905794i | ||||
\(149\) | 2.10523 | + | 11.9394i | 0.172468 | + | 0.978112i | 0.941026 | + | 0.338333i | \(0.109863\pi\) |
−0.768559 | + | 0.639779i | \(0.779026\pi\) | |||||||
\(150\) | −16.6040 | −1.35571 | ||||||||
\(151\) | 3.11791 | − | 17.6825i | 0.253732 | − | 1.43899i | −0.545575 | − | 0.838062i | \(-0.683689\pi\) |
0.799307 | − | 0.600923i | \(-0.205200\pi\) | |||||||
\(152\) | −2.02884 | − | 3.51406i | −0.164561 | − | 0.285028i | ||||
\(153\) | −2.31919 | + | 0.844117i | −0.187496 | + | 0.0682428i | ||||
\(154\) | −9.51256 | −0.766544 | ||||||||
\(155\) | −11.0611 | −0.888453 | ||||||||
\(156\) | −22.4219 | + | 8.16089i | −1.79519 | + | 0.653394i | ||||
\(157\) | −14.3438 | − | 5.22072i | −1.14476 | − | 0.416659i | −0.301130 | − | 0.953583i | \(-0.597364\pi\) |
−0.843631 | + | 0.536924i | \(0.819586\pi\) | |||||||
\(158\) | −16.8373 | + | 6.12829i | −1.33951 | + | 0.487541i | ||||
\(159\) | 9.60747 | + | 8.06163i | 0.761922 | + | 0.639329i | ||||
\(160\) | 9.57776 | + | 3.48602i | 0.757188 | + | 0.275594i | ||||
\(161\) | 7.21064 | + | 2.62446i | 0.568278 | + | 0.206836i | ||||
\(162\) | 3.82256 | + | 21.6788i | 0.300329 | + | 1.70325i | ||||
\(163\) | −11.2319 | + | 19.4542i | −0.879748 | + | 1.52377i | −0.0281297 | + | 0.999604i | \(0.508955\pi\) |
−0.851618 | + | 0.524163i | \(0.824378\pi\) | |||||||
\(164\) | 1.05275 | − | 1.82341i | 0.0822058 | − | 0.142385i | ||||
\(165\) | 1.62948 | + | 9.24126i | 0.126855 | + | 0.719431i | ||||
\(166\) | −8.82754 | − | 3.21296i | −0.685150 | − | 0.249374i | ||||
\(167\) | −17.4268 | − | 6.34282i | −1.34852 | − | 0.490822i | −0.436036 | − | 0.899929i | \(-0.643618\pi\) |
−0.912486 | + | 0.409107i | \(0.865840\pi\) | |||||||
\(168\) | 2.64009 | + | 2.21530i | 0.203688 | + | 0.170914i | ||||
\(169\) | −3.68638 | + | 1.34173i | −0.283568 | + | 0.103210i | ||||
\(170\) | −2.58927 | − | 0.942417i | −0.198588 | − | 0.0722801i | ||||
\(171\) | 8.92302 | − | 3.24771i | 0.682360 | − | 0.248359i | ||||
\(172\) | 16.9800 | 1.29471 | ||||||||
\(173\) | −6.00492 | −0.456545 | −0.228273 | − | 0.973597i | \(-0.573308\pi\) | ||||
−0.228273 | + | 0.973597i | \(0.573308\pi\) | |||||||
\(174\) | 49.2599 | − | 17.9291i | 3.73438 | − | 1.35920i | ||||
\(175\) | 2.39798 | + | 4.15342i | 0.181270 | + | 0.313969i | ||||
\(176\) | −1.52049 | + | 8.62314i | −0.114611 | + | 0.649994i | ||||
\(177\) | −20.6790 | −1.55433 | ||||||||
\(178\) | −1.18229 | − | 6.70510i | −0.0886163 | − | 0.502568i | ||||
\(179\) | −4.39293 | − | 3.68611i | −0.328343 | − | 0.275513i | 0.463681 | − | 0.886002i | \(-0.346528\pi\) |
−0.792024 | + | 0.610489i | \(0.790973\pi\) | |||||||
\(180\) | 3.86615 | − | 6.69636i | 0.288166 | − | 0.499117i | ||||
\(181\) | −0.378713 | + | 2.14779i | −0.0281495 | + | 0.159644i | −0.995642 | − | 0.0932548i | \(-0.970273\pi\) |
0.967493 | + | 0.252899i | \(0.0813840\pi\) | |||||||
\(182\) | 9.52089 | + | 7.98897i | 0.705735 | + | 0.592182i | ||||
\(183\) | 10.6618 | − | 3.88057i | 0.788140 | − | 0.286860i | ||||
\(184\) | −2.79157 | + | 4.83515i | −0.205798 | + | 0.356452i | ||||
\(185\) | −8.80872 | −0.647630 | ||||||||
\(186\) | −21.3420 | + | 36.9653i | −1.56487 | + | 2.71043i | ||||
\(187\) | 0.555794 | − | 3.15206i | 0.0406437 | − | 0.230502i | ||||
\(188\) | 3.98814 | − | 22.6179i | 0.290865 | − | 1.64958i | ||||
\(189\) | 1.45602 | − | 1.22175i | 0.105910 | − | 0.0888692i | ||||
\(190\) | 9.96214 | + | 3.62592i | 0.722729 | + | 0.263052i | ||||
\(191\) | −1.12896 | − | 1.95542i | −0.0816890 | − | 0.141489i | 0.822287 | − | 0.569074i | \(-0.192698\pi\) |
−0.903976 | + | 0.427584i | \(0.859365\pi\) | |||||||
\(192\) | 20.2032 | − | 16.9525i | 1.45804 | − | 1.22344i | ||||
\(193\) | 6.67184 | − | 2.42835i | 0.480249 | − | 0.174797i | −0.0905402 | − | 0.995893i | \(-0.528859\pi\) |
0.570790 | + | 0.821096i | \(0.306637\pi\) | |||||||
\(194\) | 16.9852 | − | 14.2523i | 1.21946 | − | 1.02325i | ||||
\(195\) | 6.13022 | − | 10.6179i | 0.438994 | − | 0.760360i | ||||
\(196\) | −2.14728 | + | 12.1779i | −0.153377 | + | 0.869847i | ||||
\(197\) | −2.50905 | − | 2.10534i | −0.178762 | − | 0.149999i | 0.549016 | − | 0.835812i | \(-0.315003\pi\) |
−0.727778 | + | 0.685812i | \(0.759447\pi\) | |||||||
\(198\) | 15.2203 | + | 5.53972i | 1.08166 | + | 0.393691i | ||||
\(199\) | −6.14531 | − | 10.6440i | −0.435630 | − | 0.754533i | 0.561717 | − | 0.827329i | \(-0.310141\pi\) |
−0.997347 | + | 0.0727967i | \(0.976808\pi\) | |||||||
\(200\) | −3.27908 | + | 1.19349i | −0.231866 | + | 0.0843923i | ||||
\(201\) | −9.41933 | − | 16.3148i | −0.664388 | − | 1.15075i | ||||
\(202\) | −5.70642 | − | 9.88381i | −0.401502 | − | 0.695423i | ||||
\(203\) | −11.5991 | − | 9.73278i | −0.814095 | − | 0.683107i | ||||
\(204\) | −4.51683 | + | 3.79007i | −0.316241 | + | 0.265358i | ||||
\(205\) | 0.187865 | + | 1.06543i | 0.0131210 | + | 0.0744131i | ||||
\(206\) | 3.05053 | + | 17.3004i | 0.212541 | + | 1.20538i | ||||
\(207\) | −10.0088 | − | 8.39836i | −0.695658 | − | 0.583726i | ||||
\(208\) | 8.76384 | − | 7.35373i | 0.607663 | − | 0.509890i | ||||
\(209\) | −2.13840 | + | 12.1275i | −0.147916 | + | 0.838875i | ||||
\(210\) | −9.00437 | −0.621360 | ||||||||
\(211\) | 0.633778 | + | 3.59433i | 0.0436311 | + | 0.247444i | 0.998821 | − | 0.0485503i | \(-0.0154601\pi\) |
−0.955190 | + | 0.295994i | \(0.904349\pi\) | |||||||
\(212\) | 12.5940 | + | 4.58382i | 0.864956 | + | 0.314818i | ||||
\(213\) | −4.03011 | − | 22.8559i | −0.276139 | − | 1.56606i | ||||
\(214\) | 5.16801 | − | 8.95125i | 0.353278 | − | 0.611895i | ||||
\(215\) | −6.68360 | + | 5.60821i | −0.455818 | + | 0.382477i | ||||
\(216\) | 0.691474 | + | 1.19767i | 0.0470489 | + | 0.0814910i | ||||
\(217\) | 12.3289 | 0.836943 | ||||||||
\(218\) | 0.304716 | − | 22.1196i | 0.0206380 | − | 1.49813i | ||||
\(219\) | −18.2579 | −1.23375 | ||||||||
\(220\) | 5.01385 | + | 8.68424i | 0.338034 | + | 0.585491i | ||||
\(221\) | −3.20349 | + | 2.68805i | −0.215490 | + | 0.180818i | ||||
\(222\) | −16.9960 | + | 29.4379i | −1.14070 | + | 1.97575i | ||||
\(223\) | 2.92662 | + | 16.5977i | 0.195981 | + | 1.11146i | 0.911015 | + | 0.412374i | \(0.135300\pi\) |
−0.715034 | + | 0.699090i | \(0.753589\pi\) | |||||||
\(224\) | −10.6755 | − | 3.88558i | −0.713289 | − | 0.259616i | ||||
\(225\) | −1.41803 | − | 8.04202i | −0.0945351 | − | 0.536135i | ||||
\(226\) | 14.2053 | 0.944925 | ||||||||
\(227\) | −2.85907 | + | 16.2146i | −0.189763 | + | 1.07620i | 0.729919 | + | 0.683534i | \(0.239558\pi\) |
−0.919682 | + | 0.392665i | \(0.871553\pi\) | |||||||
\(228\) | 17.3784 | − | 14.5822i | 1.15091 | − | 0.965728i | ||||
\(229\) | 7.45152 | + | 6.25257i | 0.492410 | + | 0.413181i | 0.854889 | − | 0.518811i | \(-0.173625\pi\) |
−0.362479 | + | 0.931992i | \(0.618069\pi\) | |||||||
\(230\) | −2.53301 | − | 14.3654i | −0.167022 | − | 0.947229i | ||||
\(231\) | −1.81625 | − | 10.3005i | −0.119500 | − | 0.677721i | ||||
\(232\) | 8.43946 | − | 7.08155i | 0.554078 | − | 0.464926i | ||||
\(233\) | −8.16624 | − | 6.85229i | −0.534988 | − | 0.448908i | 0.334832 | − | 0.942278i | \(-0.391321\pi\) |
−0.869820 | + | 0.493370i | \(0.835765\pi\) | |||||||
\(234\) | −10.5811 | − | 18.3271i | −0.691711 | − | 1.19808i | ||||
\(235\) | 5.90052 | + | 10.2200i | 0.384907 | + | 0.666679i | ||||
\(236\) | −20.7653 | + | 7.55793i | −1.35170 | + | 0.491980i | ||||
\(237\) | −9.85068 | − | 17.0619i | −0.639870 | − | 1.10829i | ||||
\(238\) | 2.88604 | + | 1.05043i | 0.187074 | + | 0.0680895i | ||||
\(239\) | −17.0492 | − | 14.3060i | −1.10282 | − | 0.925378i | −0.105211 | − | 0.994450i | \(-0.533552\pi\) |
−0.997612 | + | 0.0690715i | \(0.977996\pi\) | |||||||
\(240\) | −1.43926 | + | 8.16247i | −0.0929041 | + | 0.526885i | ||||
\(241\) | 7.20860 | − | 12.4857i | 0.464347 | − | 0.804273i | −0.534825 | − | 0.844963i | \(-0.679622\pi\) |
0.999172 | + | 0.0406904i | \(0.0129557\pi\) | |||||||
\(242\) | 1.76367 | − | 1.47989i | 0.113373 | − | 0.0951310i | ||||
\(243\) | −18.9867 | + | 6.91060i | −1.21800 | + | 0.443315i | ||||
\(244\) | 9.28792 | − | 7.79349i | 0.594598 | − | 0.498927i | ||||
\(245\) | −3.17694 | − | 5.50263i | −0.202967 | − | 0.351550i | ||||
\(246\) | 3.92306 | + | 1.42788i | 0.250125 | + | 0.0910380i | ||||
\(247\) | 12.3253 | − | 10.3422i | 0.784243 | − | 0.658058i | ||||
\(248\) | −1.55771 | + | 8.83423i | −0.0989149 | + | 0.560974i | ||||
\(249\) | 1.79363 | − | 10.1722i | 0.113667 | − | 0.644635i | ||||
\(250\) | 11.3349 | − | 19.6327i | 0.716884 | − | 1.24168i | ||||
\(251\) | 16.0046 | 1.01020 | 0.505102 | − | 0.863060i | \(-0.331455\pi\) | ||||
0.505102 | + | 0.863060i | \(0.331455\pi\) | |||||||
\(252\) | −4.30927 | + | 7.46388i | −0.271459 | + | 0.470180i | ||||
\(253\) | 15.9223 | − | 5.79524i | 1.00103 | − | 0.364344i | ||||
\(254\) | 6.87910 | + | 5.77225i | 0.431633 | + | 0.362183i | ||||
\(255\) | 0.526102 | − | 2.98367i | 0.0329458 | − | 0.186845i | ||||
\(256\) | −2.79068 | + | 4.83360i | −0.174417 | + | 0.302100i | ||||
\(257\) | 16.2647 | + | 13.6477i | 1.01457 | + | 0.851322i | 0.988935 | − | 0.148349i | \(-0.0473960\pi\) |
0.0256311 | + | 0.999671i | \(0.491840\pi\) | |||||||
\(258\) | 5.84643 | + | 33.1568i | 0.363983 | + | 2.06425i | ||||
\(259\) | 9.81835 | 0.610082 | ||||||||
\(260\) | 2.27508 | − | 12.9026i | 0.141095 | − | 0.800188i | ||||
\(261\) | 12.8908 | + | 22.3274i | 0.797917 | + | 1.38203i | ||||
\(262\) | 3.01349 | − | 1.09682i | 0.186174 | − | 0.0677619i | ||||
\(263\) | 25.5430 | 1.57505 | 0.787524 | − | 0.616284i | \(-0.211363\pi\) | ||||
0.787524 | + | 0.616284i | \(0.211363\pi\) | |||||||
\(264\) | 7.61021 | 0.468376 | ||||||||
\(265\) | −6.47116 | + | 2.35531i | −0.397520 | + | 0.144686i | ||||
\(266\) | −11.1040 | − | 4.04151i | −0.680828 | − | 0.247801i | ||||
\(267\) | 7.03473 | − | 2.56043i | 0.430519 | − | 0.156696i | ||||
\(268\) | −15.4214 | − | 12.9401i | −0.942015 | − | 0.790444i | ||||
\(269\) | 6.42897 | + | 2.33995i | 0.391981 | + | 0.142669i | 0.530489 | − | 0.847692i | \(-0.322008\pi\) |
−0.138508 | + | 0.990361i | \(0.544231\pi\) | |||||||
\(270\) | −3.39532 | − | 1.23579i | −0.206632 | − | 0.0752080i | ||||
\(271\) | 3.91019 | + | 22.1758i | 0.237527 | + | 1.34708i | 0.837226 | + | 0.546858i | \(0.184176\pi\) |
−0.599699 | + | 0.800226i | \(0.704713\pi\) | |||||||
\(272\) | 1.41353 | − | 2.44830i | 0.0857076 | − | 0.148450i | ||||
\(273\) | −6.83285 | + | 11.8348i | −0.413543 | + | 0.716277i | ||||
\(274\) | 8.56927 | + | 48.5987i | 0.517689 | + | 2.93596i | ||||
\(275\) | 9.95159 | + | 3.62208i | 0.600104 | + | 0.218420i | ||||
\(276\) | −29.3320 | − | 10.6760i | −1.76558 | − | 0.642618i | ||||
\(277\) | 17.5156 | + | 14.6973i | 1.05241 | + | 0.883077i | 0.993345 | − | 0.115177i | \(-0.0367435\pi\) |
0.0590653 | + | 0.998254i | \(0.481188\pi\) | |||||||
\(278\) | −9.23210 | + | 3.36021i | −0.553705 | + | 0.201532i | ||||
\(279\) | −19.7265 | − | 7.17987i | −1.18100 | − | 0.429847i | ||||
\(280\) | −1.77825 | + | 0.647229i | −0.106271 | + | 0.0386793i | ||||
\(281\) | −25.6654 | −1.53107 | −0.765535 | − | 0.643395i | \(-0.777525\pi\) | ||||
−0.765535 | + | 0.643395i | \(0.777525\pi\) | |||||||
\(282\) | 45.5391 | 2.71181 | ||||||||
\(283\) | −9.15339 | + | 3.33156i | −0.544112 | + | 0.198041i | −0.599429 | − | 0.800428i | \(-0.704605\pi\) |
0.0553163 | + | 0.998469i | \(0.482383\pi\) | |||||||
\(284\) | −12.4005 | − | 21.4782i | −0.735832 | − | 1.27450i | ||||
\(285\) | −2.02416 | + | 11.4796i | −0.119901 | + | 0.679992i | ||||
\(286\) | 27.4445 | 1.62283 | ||||||||
\(287\) | −0.209397 | − | 1.18755i | −0.0123603 | − | 0.0700988i | ||||
\(288\) | 14.8182 | + | 12.4340i | 0.873173 | + | 0.732679i | ||||
\(289\) | 7.98331 | − | 13.8275i | 0.469606 | − | 0.813382i | ||||
\(290\) | −4.99826 | + | 28.3466i | −0.293508 | + | 1.66457i | ||||
\(291\) | 18.6758 | + | 15.6708i | 1.09479 | + | 0.918639i | ||||
\(292\) | −18.3340 | + | 6.67303i | −1.07292 | + | 0.390509i | ||||
\(293\) | −1.65847 | + | 2.87256i | −0.0968889 | + | 0.167816i | −0.910395 | − | 0.413739i | \(-0.864222\pi\) |
0.813506 | + | 0.581556i | \(0.197556\pi\) | |||||||
\(294\) | −24.5190 | −1.42998 | ||||||||
\(295\) | 5.67730 | − | 9.83337i | 0.330545 | − | 0.572521i | ||||
\(296\) | −1.24051 | + | 7.03528i | −0.0721031 | + | 0.408917i | ||||
\(297\) | 0.728814 | − | 4.13331i | 0.0422901 | − | 0.239839i | ||||
\(298\) | −19.6784 | + | 16.5121i | −1.13994 | + | 0.956522i | ||||
\(299\) | −20.8033 | − | 7.57177i | −1.20308 | − | 0.437887i | ||||
\(300\) | −9.75467 | − | 16.8956i | −0.563186 | − | 0.975467i | ||||
\(301\) | 7.44966 | − | 6.25100i | 0.429391 | − | 0.360302i | ||||
\(302\) | 35.7507 | − | 13.0122i | 2.05722 | − | 0.748767i | ||||
\(303\) | 9.61293 | − | 8.06621i | 0.552249 | − | 0.463392i | ||||
\(304\) | −5.43850 | + | 9.41976i | −0.311919 | + | 0.540260i | ||||
\(305\) | −1.08182 | + | 6.13530i | −0.0619448 | + | 0.351306i | ||||
\(306\) | −4.00599 | − | 3.36143i | −0.229007 | − | 0.192160i | ||||
\(307\) | −23.9489 | − | 8.71670i | −1.36684 | − | 0.497488i | −0.448676 | − | 0.893694i | \(-0.648104\pi\) |
−0.918162 | + | 0.396206i | \(0.870327\pi\) | |||||||
\(308\) | −5.58852 | − | 9.67960i | −0.318435 | − | 0.551546i | ||||
\(309\) | −18.1509 | + | 6.60640i | −1.03257 | + | 0.375825i | ||||
\(310\) | −11.7186 | − | 20.2972i | −0.665571 | − | 1.15280i | ||||
\(311\) | 9.64191 | + | 16.7003i | 0.546743 | + | 0.946986i | 0.998495 | + | 0.0548425i | \(0.0174657\pi\) |
−0.451752 | + | 0.892143i | \(0.649201\pi\) | |||||||
\(312\) | −7.61688 | − | 6.39132i | −0.431221 | − | 0.361837i | ||||
\(313\) | 12.8227 | − | 10.7595i | 0.724780 | − | 0.608162i | −0.203923 | − | 0.978987i | \(-0.565369\pi\) |
0.928703 | + | 0.370825i | \(0.120925\pi\) | |||||||
\(314\) | −5.61635 | − | 31.8519i | −0.316949 | − | 1.79751i | ||||
\(315\) | −0.768996 | − | 4.36119i | −0.0433280 | − | 0.245725i | ||||
\(316\) | −16.1277 | − | 13.5327i | −0.907251 | − | 0.761274i | ||||
\(317\) | 12.3511 | − | 10.3638i | 0.693708 | − | 0.582090i | −0.226268 | − | 0.974065i | \(-0.572652\pi\) |
0.919976 | + | 0.391975i | \(0.128208\pi\) | |||||||
\(318\) | −4.61456 | + | 26.1705i | −0.258772 | + | 1.46757i | ||||
\(319\) | −33.4350 | −1.87200 | ||||||||
\(320\) | 2.51465 | + | 14.2613i | 0.140573 | + | 0.797231i | ||||
\(321\) | 10.6794 | + | 3.88699i | 0.596066 | + | 0.216950i | ||||
\(322\) | 2.82334 | + | 16.0120i | 0.157339 | + | 0.892312i | ||||
\(323\) | 1.98796 | − | 3.44325i | 0.110613 | − | 0.191588i | ||||
\(324\) | −19.8138 | + | 16.6257i | −1.10077 | + | 0.923652i | ||||
\(325\) | −6.91836 | − | 11.9829i | −0.383761 | − | 0.664694i | ||||
\(326\) | −47.5978 | −2.63620 | ||||||||
\(327\) | 24.0099 | − | 3.89338i | 1.32775 | − | 0.215304i | ||||
\(328\) | 0.877388 | 0.0484457 | ||||||||
\(329\) | −6.57682 | − | 11.3914i | −0.362592 | − | 0.628027i | ||||
\(330\) | −15.2314 | + | 12.7806i | −0.838460 | + | 0.703551i | ||||
\(331\) | 7.29967 | − | 12.6434i | 0.401226 | − | 0.694944i | −0.592648 | − | 0.805462i | \(-0.701917\pi\) |
0.993874 | + | 0.110517i | \(0.0352508\pi\) | |||||||
\(332\) | −1.91670 | − | 10.8701i | −0.105192 | − | 0.596576i | ||||
\(333\) | −15.7095 | − | 5.71780i | −0.860877 | − | 0.313334i | ||||
\(334\) | −6.82348 | − | 38.6979i | −0.373364 | − | 2.11745i | ||||
\(335\) | 10.3441 | 0.565157 | ||||||||
\(336\) | 1.60423 | − | 9.09803i | 0.0875178 | − | 0.496338i | ||||
\(337\) | −16.0569 | + | 13.4733i | −0.874675 | + | 0.733940i | −0.965077 | − | 0.261966i | \(-0.915629\pi\) |
0.0904018 | + | 0.995905i | \(0.471185\pi\) | |||||||
\(338\) | −6.36756 | − | 5.34302i | −0.346350 | − | 0.290622i | ||||
\(339\) | 2.71225 | + | 15.3819i | 0.147309 | + | 0.835432i | ||||
\(340\) | −0.562200 | − | 3.18840i | −0.0304896 | − | 0.172915i | ||||
\(341\) | 20.8551 | − | 17.4995i | 1.12937 | − | 0.947650i | ||||
\(342\) | 15.4129 | + | 12.9330i | 0.833436 | + | 0.699336i | ||||
\(343\) | 8.53162 | + | 14.7772i | 0.460664 | + | 0.797894i | ||||
\(344\) | 3.53789 | + | 6.12780i | 0.190750 | + | 0.330389i | ||||
\(345\) | 15.0717 | − | 5.48564i | 0.811431 | − | 0.295337i | ||||
\(346\) | −6.36183 | − | 11.0190i | −0.342014 | − | 0.592386i | ||||
\(347\) | −23.7423 | − | 8.64151i | −1.27456 | − | 0.463900i | −0.385928 | − | 0.922529i | \(-0.626119\pi\) |
−0.888628 | + | 0.458628i | \(0.848341\pi\) | |||||||
\(348\) | 47.1836 | + | 39.5917i | 2.52931 | + | 2.12234i | ||||
\(349\) | 0.611645 | − | 3.46881i | 0.0327406 | − | 0.185681i | −0.964052 | − | 0.265715i | \(-0.914392\pi\) |
0.996792 | + | 0.0800342i | \(0.0255030\pi\) | |||||||
\(350\) | −5.08101 | + | 8.80057i | −0.271591 | + | 0.470410i | ||||
\(351\) | −4.20075 | + | 3.52485i | −0.224219 | + | 0.188142i | ||||
\(352\) | −23.5734 | + | 8.58000i | −1.25646 | + | 0.457315i | ||||
\(353\) | −21.1072 | + | 17.7111i | −1.12342 | + | 0.942665i | −0.998772 | − | 0.0495361i | \(-0.984226\pi\) |
−0.124651 | + | 0.992201i | \(0.539781\pi\) | |||||||
\(354\) | −21.9081 | − | 37.9460i | −1.16440 | − | 2.01681i | ||||
\(355\) | 11.9750 | + | 4.35853i | 0.635565 | + | 0.231327i | ||||
\(356\) | 6.12826 | − | 5.14222i | 0.324797 | − | 0.272537i | ||||
\(357\) | −0.586402 | + | 3.32565i | −0.0310357 | + | 0.176012i | ||||
\(358\) | 2.10997 | − | 11.9662i | 0.111515 | − | 0.632435i | ||||
\(359\) | −0.587621 | + | 1.01779i | −0.0310135 | + | 0.0537169i | −0.881116 | − | 0.472901i | \(-0.843207\pi\) |
0.850102 | + | 0.526618i | \(0.176540\pi\) | |||||||
\(360\) | 3.22215 | 0.169822 | ||||||||
\(361\) | 1.85137 | − | 3.20666i | 0.0974404 | − | 0.168772i | ||||
\(362\) | −4.34242 | + | 1.58051i | −0.228232 | + | 0.0830698i | ||||
\(363\) | 1.93921 | + | 1.62719i | 0.101782 | + | 0.0854053i | ||||
\(364\) | −2.53585 | + | 14.3815i | −0.132915 | + | 0.753796i | ||||
\(365\) | 5.01258 | − | 8.68204i | 0.262370 | − | 0.454439i | ||||
\(366\) | 18.4163 | + | 15.4531i | 0.962636 | + | 0.807747i | ||||
\(367\) | 4.98655 | + | 28.2802i | 0.260296 | + | 1.47621i | 0.782103 | + | 0.623149i | \(0.214147\pi\) |
−0.521807 | + | 0.853063i | \(0.674742\pi\) | |||||||
\(368\) | 14.9661 | 0.780164 | ||||||||
\(369\) | −0.356541 | + | 2.02204i | −0.0185608 | + | 0.105263i | ||||
\(370\) | −9.33229 | − | 16.1640i | −0.485162 | − | 0.840326i | ||||
\(371\) | 7.21287 | − | 2.62527i | 0.374473 | − | 0.136297i | ||||
\(372\) | −50.1526 | −2.60029 | ||||||||
\(373\) | 20.8027 | 1.07712 | 0.538561 | − | 0.842586i | \(-0.318968\pi\) | ||||
0.538561 | + | 0.842586i | \(0.318968\pi\) | |||||||
\(374\) | 6.37286 | − | 2.31953i | 0.329533 | − | 0.119940i | ||||
\(375\) | 23.4230 | + | 8.52529i | 1.20956 | + | 0.440244i | ||||
\(376\) | 8.99338 | − | 3.27332i | 0.463798 | − | 0.168809i | ||||
\(377\) | 33.4643 | + | 28.0798i | 1.72350 | + | 1.44619i | ||||
\(378\) | 3.78448 | + | 1.37744i | 0.194652 | + | 0.0708477i | ||||
\(379\) | −7.30995 | − | 2.66060i | −0.375487 | − | 0.136666i | 0.147381 | − | 0.989080i | \(-0.452916\pi\) |
−0.522868 | + | 0.852414i | \(0.675138\pi\) | |||||||
\(380\) | 2.16305 | + | 12.2673i | 0.110962 | + | 0.629297i | ||||
\(381\) | −4.93692 | + | 8.55099i | −0.252926 | + | 0.438081i | ||||
\(382\) | 2.39213 | − | 4.14330i | 0.122392 | − | 0.211989i | ||||
\(383\) | −4.60984 | − | 26.1437i | −0.235552 | − | 1.33588i | −0.841448 | − | 0.540338i | \(-0.818296\pi\) |
0.605896 | − | 0.795544i | \(-0.292815\pi\) | |||||||
\(384\) | 17.6257 | + | 6.41524i | 0.899460 | + | 0.327376i | ||||
\(385\) | 5.39675 | + | 1.96426i | 0.275044 | + | 0.100108i | ||||
\(386\) | 11.5244 | + | 9.67013i | 0.586577 | + | 0.492197i | ||||
\(387\) | −15.5599 | + | 5.66334i | −0.790955 | + | 0.287884i | ||||
\(388\) | 24.4811 | + | 8.91040i | 1.24284 | + | 0.452357i | ||||
\(389\) | 22.2084 | − | 8.08321i | 1.12601 | − | 0.409835i | 0.289169 | − | 0.957278i | \(-0.406621\pi\) |
0.836843 | + | 0.547443i | \(0.184399\pi\) | |||||||
\(390\) | 25.9783 | 1.31546 | ||||||||
\(391\) | −5.47065 | −0.276663 | ||||||||
\(392\) | −4.84219 | + | 1.76241i | −0.244568 | + | 0.0890154i | ||||
\(393\) | 1.76304 | + | 3.05368i | 0.0889337 | + | 0.154038i | ||||
\(394\) | 1.20512 | − | 6.83458i | 0.0607131 | − | 0.344321i | ||||
\(395\) | 10.8178 | 0.544301 | ||||||||
\(396\) | 3.30473 | + | 18.7421i | 0.166069 | + | 0.941824i | ||||
\(397\) | −18.6665 | − | 15.6630i | −0.936844 | − | 0.786105i | 0.0401894 | − | 0.999192i | \(-0.487204\pi\) |
−0.977033 | + | 0.213087i | \(0.931648\pi\) | |||||||
\(398\) | 13.0211 | − | 22.5533i | 0.652691 | − | 1.13049i | ||||
\(399\) | 2.25616 | − | 12.7953i | 0.112949 | − | 0.640568i | ||||
\(400\) | 7.16557 | + | 6.01263i | 0.358279 | + | 0.300631i | ||||
\(401\) | −30.8283 | + | 11.2206i | −1.53949 | + | 0.560328i | −0.965923 | − | 0.258830i | \(-0.916663\pi\) |
−0.573567 | + | 0.819159i | \(0.694441\pi\) | |||||||
\(402\) | 19.9584 | − | 34.5689i | 0.995433 | − | 1.72414i | ||||
\(403\) | −35.5700 | −1.77187 | ||||||||
\(404\) | 6.70491 | − | 11.6132i | 0.333582 | − | 0.577781i | ||||
\(405\) | 2.30783 | − | 13.0884i | 0.114677 | − | 0.650365i | ||||
\(406\) | 5.57115 | − | 31.5955i | 0.276491 | − | 1.56806i | ||||
\(407\) | 16.6083 | − | 13.9360i | 0.823241 | − | 0.690781i | ||||
\(408\) | −2.30889 | − | 0.840366i | −0.114307 | − | 0.0416043i | ||||
\(409\) | 13.7352 | + | 23.7901i | 0.679163 | + | 1.17634i | 0.975233 | + | 0.221179i | \(0.0709904\pi\) |
−0.296070 | + | 0.955166i | \(0.595676\pi\) | |||||||
\(410\) | −1.75604 | + | 1.47349i | −0.0867245 | + | 0.0727705i | ||||
\(411\) | −50.9879 | + | 18.5581i | −2.51505 | + | 0.915403i | ||||
\(412\) | −15.8121 | + | 13.2679i | −0.779005 | + | 0.653662i | ||||
\(413\) | −6.32801 | + | 10.9604i | −0.311381 | + | 0.539328i | ||||
\(414\) | 4.80731 | − | 27.2636i | 0.236266 | − | 1.33993i | ||||
\(415\) | 4.34467 | + | 3.64561i | 0.213272 | + | 0.178956i | ||||
\(416\) | 30.7998 | + | 11.2102i | 1.51008 | + | 0.549625i | ||||
\(417\) | −5.40123 | − | 9.35521i | −0.264499 | − | 0.458127i | ||||
\(418\) | −24.5194 | + | 8.92433i | −1.19928 | + | 0.436503i | ||||
\(419\) | 5.52585 | + | 9.57105i | 0.269955 | + | 0.467576i | 0.968850 | − | 0.247648i | \(-0.0796578\pi\) |
−0.698895 | + | 0.715225i | \(0.746324\pi\) | |||||||
\(420\) | −5.28996 | − | 9.16248i | −0.258124 | − | 0.447083i | ||||
\(421\) | 22.7333 | + | 19.0755i | 1.10795 | + | 0.929681i | 0.997934 | − | 0.0642485i | \(-0.0204650\pi\) |
0.110017 | + | 0.993930i | \(0.464909\pi\) | |||||||
\(422\) | −5.92415 | + | 4.97095i | −0.288383 | + | 0.241982i | ||||
\(423\) | 3.88915 | + | 22.0565i | 0.189097 | + | 1.07242i | ||||
\(424\) | 0.969803 | + | 5.50003i | 0.0470978 | + | 0.267105i | ||||
\(425\) | −2.61927 | − | 2.19783i | −0.127053 | − | 0.106610i | ||||
\(426\) | 37.6709 | − | 31.6096i | 1.82516 | − | 1.53149i | ||||
\(427\) | 1.20581 | − | 6.83851i | 0.0583534 | − | 0.330939i | ||||
\(428\) | 12.1446 | 0.587030 | ||||||||
\(429\) | 5.24003 | + | 29.7177i | 0.252991 | + | 1.43478i | ||||
\(430\) | −17.3719 | − | 6.32286i | −0.837748 | − | 0.304915i | ||||
\(431\) | −2.46377 | − | 13.9727i | −0.118676 | − | 0.673042i | −0.984865 | − | 0.173326i | \(-0.944549\pi\) |
0.866189 | − | 0.499717i | \(-0.166562\pi\) | |||||||
\(432\) | 1.85356 | − | 3.21046i | 0.0891795 | − | 0.154463i | ||||
\(433\) | −30.2438 | + | 25.3776i | −1.45342 | + | 1.21957i | −0.523391 | + | 0.852093i | \(0.675333\pi\) |
−0.930033 | + | 0.367475i | \(0.880222\pi\) | |||||||
\(434\) | 13.0617 | + | 22.6236i | 0.626983 | + | 1.08597i | ||||
\(435\) | −31.6488 | −1.51744 | ||||||||
\(436\) | 22.6870 | − | 12.6849i | 1.08651 | − | 0.607498i | ||||
\(437\) | 21.0482 | 1.00687 | ||||||||
\(438\) | −19.3431 | − | 33.5032i | −0.924247 | − | 1.60084i | ||||
\(439\) | −0.270238 | + | 0.226757i | −0.0128978 | + | 0.0108225i | −0.649214 | − | 0.760606i | \(-0.724902\pi\) |
0.636316 | + | 0.771429i | \(0.280457\pi\) | |||||||
\(440\) | −2.08934 | + | 3.61884i | −0.0996052 | + | 0.172521i | ||||
\(441\) | −2.09399 | − | 11.8756i | −0.0997137 | − | 0.565505i | ||||
\(442\) | −8.32647 | − | 3.03059i | −0.396050 | − | 0.144150i | ||||
\(443\) | −1.19701 | − | 6.78858i | −0.0568716 | − | 0.322535i | 0.943078 | − | 0.332572i | \(-0.107916\pi\) |
−0.999950 | + | 0.0100365i | \(0.996805\pi\) | |||||||
\(444\) | −39.9398 | −1.89546 | ||||||||
\(445\) | −0.713795 | + | 4.04813i | −0.0338371 | + | 0.191900i | ||||
\(446\) | −27.3562 | + | 22.9546i | −1.29535 | + | 1.08693i | ||||
\(447\) | −21.6370 | − | 18.1556i | −1.02340 | − | 0.858731i | ||||
\(448\) | −2.80287 | − | 15.8959i | −0.132423 | − | 0.751010i | ||||
\(449\) | 1.06478 | + | 6.03869i | 0.0502502 | + | 0.284983i | 0.999570 | − | 0.0293293i | \(-0.00933713\pi\) |
−0.949320 | + | 0.314313i | \(0.898226\pi\) | |||||||
\(450\) | 13.2548 | − | 11.1221i | 0.624837 | − | 0.524301i | ||||
\(451\) | −2.03979 | − | 1.71159i | −0.0960501 | − | 0.0805956i | ||||
\(452\) | 8.34547 | + | 14.4548i | 0.392538 | + | 0.679895i | ||||
\(453\) | 20.9159 | + | 36.2274i | 0.982715 | + | 1.70211i | ||||
\(454\) | −32.7827 | + | 11.9319i | −1.53857 | + | 0.559993i | ||||
\(455\) | −3.75183 | − | 6.49836i | −0.175888 | − | 0.304648i | ||||
\(456\) | 8.88337 | + | 3.23328i | 0.416002 | + | 0.151412i | ||||
\(457\) | 10.9134 | + | 9.15744i | 0.510508 | + | 0.428367i | 0.861308 | − | 0.508083i | \(-0.169646\pi\) |
−0.350800 | + | 0.936450i | \(0.614090\pi\) | |||||||
\(458\) | −3.57904 | + | 20.2977i | −0.167237 | + | 0.948451i | ||||
\(459\) | −0.677542 | + | 1.17354i | −0.0316250 | + | 0.0547760i | ||||
\(460\) | 13.1296 | − | 11.0170i | 0.612170 | − | 0.513671i | ||||
\(461\) | 21.4764 | − | 7.81678i | 1.00026 | − | 0.364064i | 0.210573 | − | 0.977578i | \(-0.432467\pi\) |
0.789683 | + | 0.613515i | \(0.210245\pi\) | |||||||
\(462\) | 16.9771 | − | 14.2455i | 0.789848 | − | 0.662761i | ||||
\(463\) | 4.98433 | + | 8.63311i | 0.231642 | + | 0.401215i | 0.958291 | − | 0.285793i | \(-0.0922570\pi\) |
−0.726650 | + | 0.687008i | \(0.758924\pi\) | |||||||
\(464\) | −27.7509 | − | 10.1005i | −1.28830 | − | 0.468904i | ||||
\(465\) | 19.7409 | − | 16.5646i | 0.915463 | − | 0.768165i | ||||
\(466\) | 3.92232 | − | 22.2446i | 0.181698 | − | 1.03046i | ||||
\(467\) | −2.98496 | + | 16.9286i | −0.138128 | + | 0.783360i | 0.834503 | + | 0.551003i | \(0.185755\pi\) |
−0.972631 | + | 0.232357i | \(0.925356\pi\) | |||||||
\(468\) | 12.4326 | − | 21.5339i | 0.574697 | − | 0.995404i | ||||
\(469\) | −11.5297 | −0.532391 | ||||||||
\(470\) | −12.5025 | + | 21.6549i | −0.576695 | + | 0.998866i | ||||
\(471\) | 33.4178 | − | 12.1631i | 1.53981 | − | 0.560446i | ||||
\(472\) | −7.05411 | − | 5.91910i | −0.324692 | − | 0.272449i | ||||
\(473\) | 3.72893 | − | 21.1478i | 0.171456 | − | 0.972378i | ||||
\(474\) | 20.8723 | − | 36.1520i | 0.958699 | − | 1.66051i | ||||
\(475\) | 10.0776 | + | 8.45608i | 0.462390 | + | 0.387992i | ||||
\(476\) | 0.626638 | + | 3.55384i | 0.0287219 | + | 0.162890i | ||||
\(477\) | −13.0696 | −0.598414 | ||||||||
\(478\) | 8.18891 | − | 46.4416i | 0.374552 | − | 2.12419i | ||||
\(479\) | 12.0504 | + | 20.8719i | 0.550596 | + | 0.953660i | 0.998232 | + | 0.0594439i | \(0.0189327\pi\) |
−0.447636 | + | 0.894216i | \(0.647734\pi\) | |||||||
\(480\) | −22.3140 | + | 8.12163i | −1.01849 | + | 0.370700i | ||||
\(481\) | −28.3267 | −1.29159 | ||||||||
\(482\) | 30.5483 | 1.39143 | ||||||||
\(483\) | −16.7991 | + | 6.11439i | −0.764387 | + | 0.278214i | ||||
\(484\) | 2.54201 | + | 0.925217i | 0.115546 | + | 0.0420553i | ||||
\(485\) | −12.5791 | + | 4.57844i | −0.571190 | + | 0.207896i | ||||
\(486\) | −32.7962 | − | 27.5193i | −1.48766 | − | 1.24830i | ||||
\(487\) | −33.8249 | − | 12.3112i | −1.53275 | − | 0.557876i | −0.568458 | − | 0.822713i | \(-0.692460\pi\) |
−0.964293 | + | 0.264837i | \(0.914682\pi\) | |||||||
\(488\) | 4.74774 | + | 1.72804i | 0.214920 | + | 0.0782246i | ||||
\(489\) | −9.08794 | − | 51.5403i | −0.410971 | − | 2.33073i | ||||
\(490\) | 6.73154 | − | 11.6594i | 0.304100 | − | 0.526717i | ||||
\(491\) | −8.08951 | + | 14.0114i | −0.365074 | + | 0.632327i | −0.988788 | − | 0.149325i | \(-0.952290\pi\) |
0.623714 | + | 0.781653i | \(0.285623\pi\) | |||||||
\(492\) | 0.851801 | + | 4.83080i | 0.0384022 | + | 0.217789i | ||||
\(493\) | 10.1439 | + | 3.69209i | 0.456860 | + | 0.166283i | ||||
\(494\) | 32.0358 | + | 11.6601i | 1.44136 | + | 0.524612i | ||||
\(495\) | −7.49100 | − | 6.28569i | −0.336695 | − | 0.282521i | ||||
\(496\) | 22.5961 | − | 8.22431i | 1.01460 | − | 0.369282i | ||||
\(497\) | −13.3475 | − | 4.85809i | −0.598717 | − | 0.217915i | ||||
\(498\) | 20.5661 | − | 7.48547i | 0.921591 | − | 0.335432i | ||||
\(499\) | −13.7756 | −0.616680 | −0.308340 | − | 0.951276i | \(-0.599773\pi\) | ||||
−0.308340 | + | 0.951276i | \(0.599773\pi\) | |||||||
\(500\) | 26.6366 | 1.19122 | ||||||||
\(501\) | 40.6004 | − | 14.7773i | 1.81389 | − | 0.660202i | ||||
\(502\) | 16.9559 | + | 29.3685i | 0.756779 | + | 1.31078i | ||||
\(503\) | 2.30397 | − | 13.0665i | 0.102729 | − | 0.582605i | −0.889374 | − | 0.457180i | \(-0.848859\pi\) |
0.992103 | − | 0.125425i | \(-0.0400295\pi\) | |||||||
\(504\) | −3.59146 | −0.159976 | ||||||||
\(505\) | 1.19650 | + | 6.78570i | 0.0532436 | + | 0.301960i | ||||
\(506\) | 27.5029 | + | 23.0777i | 1.22265 | + | 1.02593i | ||||
\(507\) | 4.56980 | − | 7.91513i | 0.202952 | − | 0.351523i | ||||
\(508\) | −1.83222 | + | 10.3910i | −0.0812916 | + | 0.461027i | ||||
\(509\) | 16.3879 | + | 13.7511i | 0.726381 | + | 0.609506i | 0.929142 | − | 0.369722i | \(-0.120547\pi\) |
−0.202761 | + | 0.979228i | \(0.564992\pi\) | |||||||
\(510\) | 6.03241 | − | 2.19562i | 0.267119 | − | 0.0972235i | ||||
\(511\) | −5.58710 | + | 9.67715i | −0.247159 | + | 0.428092i | ||||
\(512\) | −27.9281 | −1.23426 | ||||||||
\(513\) | 2.60682 | − | 4.51515i | 0.115094 | − | 0.199349i | ||||
\(514\) | −7.81211 | + | 44.3047i | −0.344577 | + | 1.95420i | ||||
\(515\) | 1.84173 | − | 10.4449i | 0.0811561 | − | 0.460259i | ||||
\(516\) | −30.3043 | + | 25.4283i | −1.33407 | + | 1.11942i | ||||
\(517\) | −27.2938 | − | 9.93412i | −1.20038 | − | 0.436902i | ||||
\(518\) | 10.4019 | + | 18.0167i | 0.457034 | + | 0.791606i | ||||
\(519\) | 10.7170 | − | 8.99265i | 0.470425 | − | 0.394734i | ||||
\(520\) | 5.13039 | − | 1.86731i | 0.224982 | − | 0.0818869i | ||||
\(521\) | −14.2519 | + | 11.9588i | −0.624388 | + | 0.523924i | −0.899179 | − | 0.437580i | \(-0.855836\pi\) |
0.274791 | + | 0.961504i | \(0.411391\pi\) | |||||||
\(522\) | −27.3139 | + | 47.3090i | −1.19550 | + | 2.07066i | ||||
\(523\) | 5.65067 | − | 32.0465i | 0.247086 | − | 1.40130i | −0.568510 | − | 0.822676i | \(-0.692480\pi\) |
0.815597 | − | 0.578621i | \(-0.196409\pi\) | |||||||
\(524\) | 2.88648 | + | 2.42204i | 0.126096 | + | 0.105807i | ||||
\(525\) | −10.4996 | − | 3.82155i | −0.458241 | − | 0.166786i | ||||
\(526\) | 27.0612 | + | 46.8714i | 1.17992 | + | 2.04369i | ||||
\(527\) | −8.25968 | + | 3.00628i | −0.359797 | + | 0.130955i | ||||
\(528\) | −10.1999 | − | 17.6668i | −0.443895 | − | 0.768849i | ||||
\(529\) | −2.98056 | − | 5.16248i | −0.129589 | − | 0.224456i | ||||
\(530\) | −11.1778 | − | 9.37927i | −0.485532 | − | 0.407410i | ||||
\(531\) | 16.5078 | − | 13.8517i | 0.716379 | − | 0.601113i | ||||
\(532\) | −2.41097 | − | 13.6733i | −0.104529 | − | 0.592812i | ||||
\(533\) | 0.604127 | + | 3.42618i | 0.0261677 | + | 0.148404i | ||||
\(534\) | 12.1512 | + | 10.1961i | 0.525836 | + | 0.441229i | ||||
\(535\) | −4.78032 | + | 4.01116i | −0.206671 | + | 0.173418i | ||||
\(536\) | 1.45673 | − | 8.26151i | 0.0629211 | − | 0.356843i | ||||
\(537\) | 13.3602 | 0.576537 | ||||||||
\(538\) | 2.51728 | + | 14.2762i | 0.108527 | + | 0.615490i | ||||
\(539\) | 14.6954 | + | 5.34870i | 0.632977 | + | 0.230385i | ||||
\(540\) | −0.737215 | − | 4.18095i | −0.0317247 | − | 0.179919i | ||||
\(541\) | 2.65580 | − | 4.59999i | 0.114182 | − | 0.197769i | −0.803271 | − | 0.595614i | \(-0.796909\pi\) |
0.917452 | + | 0.397845i | \(0.130242\pi\) | |||||||
\(542\) | −36.5500 | + | 30.6691i | −1.56996 | + | 1.31735i | ||||
\(543\) | −2.54053 | − | 4.40032i | −0.109024 | − | 0.188836i | ||||
\(544\) | 8.09944 | 0.347261 | ||||||||
\(545\) | −4.74037 | + | 12.4862i | −0.203055 | + | 0.534849i | ||||
\(546\) | −28.9559 | −1.23920 | ||||||||
\(547\) | −17.1570 | − | 29.7167i | −0.733578 | − | 1.27059i | −0.955344 | − | 0.295495i | \(-0.904515\pi\) |
0.221766 | − | 0.975100i | \(-0.428818\pi\) | |||||||
\(548\) | −44.4178 | + | 37.2709i | −1.89743 | + | 1.59214i | ||||
\(549\) | −5.91179 | + | 10.2395i | −0.252309 | + | 0.437012i | ||||
\(550\) | 3.89657 | + | 22.0985i | 0.166150 | + | 0.942285i | ||||
\(551\) | −39.0285 | − | 14.2052i | −1.66267 | − | 0.605162i | ||||
\(552\) | −2.25872 | − | 12.8098i | −0.0961376 | − | 0.545223i | ||||
\(553\) | −12.0577 | −0.512744 | ||||||||
\(554\) | −8.41291 | + | 47.7120i | −0.357430 | + | 2.02709i | ||||
\(555\) | 15.7210 | − | 13.1915i | 0.667319 | − | 0.559947i | ||||
\(556\) | −8.84297 | − | 7.42013i | −0.375025 | − | 0.314684i | ||||
\(557\) | 4.25925 | + | 24.1554i | 0.180470 | + | 1.02350i | 0.931639 | + | 0.363386i | \(0.118379\pi\) |
−0.751168 | + | 0.660111i | \(0.770509\pi\) | |||||||
\(558\) | −7.72396 | − | 43.8048i | −0.326981 | − | 1.85440i | ||||
\(559\) | −21.4929 | + | 18.0347i | −0.909051 | + | 0.762785i | ||||
\(560\) | 3.88589 | + | 3.26065i | 0.164209 | + | 0.137788i | ||||
\(561\) | 3.72844 | + | 6.45784i | 0.157415 | + | 0.272650i | ||||
\(562\) | −27.1909 | − | 47.0960i | −1.14698 | − | 1.98662i | ||||
\(563\) | 12.8276 | − | 4.66886i | 0.540618 | − | 0.196769i | −0.0572552 | − | 0.998360i | \(-0.518235\pi\) |
0.597873 | + | 0.801591i | \(0.296013\pi\) | |||||||
\(564\) | 26.7537 | + | 46.3387i | 1.12653 | + | 1.95121i | ||||
\(565\) | −8.05910 | − | 2.93327i | −0.339049 | − | 0.123404i | ||||
\(566\) | −15.8108 | − | 13.2669i | −0.664579 | − | 0.557648i | ||||
\(567\) | −2.57235 | + | 14.5885i | −0.108028 | + | 0.612659i | ||||
\(568\) | 5.16744 | − | 8.95026i | 0.216821 | − | 0.375545i | ||||
\(569\) | −11.2910 | + | 9.47429i | −0.473344 | + | 0.397183i | −0.848013 | − | 0.529976i | \(-0.822201\pi\) |
0.374669 | + | 0.927159i | \(0.377757\pi\) | |||||||
\(570\) | −23.2095 | + | 8.44757i | −0.972139 | + | 0.353830i | ||||
\(571\) | 1.57709 | − | 1.32333i | 0.0659990 | − | 0.0553797i | −0.609191 | − | 0.793023i | \(-0.708506\pi\) |
0.675190 | + | 0.737643i | \(0.264061\pi\) | |||||||
\(572\) | 16.1233 | + | 27.9264i | 0.674150 | + | 1.16766i | ||||
\(573\) | 4.94321 | + | 1.79918i | 0.206506 | + | 0.0751619i | ||||
\(574\) | 1.95731 | − | 1.64238i | 0.0816965 | − | 0.0685515i | ||||
\(575\) | 3.14320 | − | 17.8260i | 0.131081 | − | 0.743395i | ||||
\(576\) | −4.77246 | + | 27.0660i | −0.198853 | + | 1.12775i | ||||
\(577\) | −5.99987 | + | 10.3921i | −0.249778 | + | 0.432628i | −0.963464 | − | 0.267838i | \(-0.913691\pi\) |
0.713686 | + | 0.700466i | \(0.247024\pi\) | |||||||
\(578\) | 33.8312 | 1.40719 | ||||||||
\(579\) | −8.27072 | + | 14.3253i | −0.343719 | + | 0.595339i | ||||
\(580\) | −31.7807 | + | 11.5672i | −1.31962 | + | 0.480304i | ||||
\(581\) | −4.84265 | − | 4.06346i | −0.200907 | − | 0.168581i | ||||
\(582\) | −8.97015 | + | 50.8722i | −0.371825 | + | 2.10872i | ||||
\(583\) | 8.47469 | − | 14.6786i | 0.350986 | − | 0.607925i | ||||
\(584\) | −6.22819 | − | 5.22608i | −0.257725 | − | 0.216257i | ||||
\(585\) | 2.21862 | + | 12.5824i | 0.0917285 | + | 0.520218i | ||||
\(586\) | −7.02818 | −0.290331 | ||||||||
\(587\) | 1.72903 | − | 9.80584i | 0.0713649 | − | 0.404730i | −0.928109 | − | 0.372308i | \(-0.878567\pi\) |
0.999474 | − | 0.0324226i | \(-0.0103222\pi\) | |||||||
\(588\) | −14.4046 | − | 24.9496i | −0.594038 | − | 1.02890i | ||||
\(589\) | 31.7789 | − | 11.5666i | 1.30943 | − | 0.476592i | ||||
\(590\) | 24.0590 | 0.990491 | ||||||||
\(591\) | 7.63077 | 0.313888 | ||||||||
\(592\) | 17.9948 | − | 6.54956i | 0.739580 | − | 0.269185i | ||||
\(593\) | 19.6785 | + | 7.16238i | 0.808098 | + | 0.294124i | 0.712838 | − | 0.701329i | \(-0.247409\pi\) |
0.0952603 | + | 0.995452i | \(0.469632\pi\) | |||||||
\(594\) | 8.35675 | − | 3.04161i | 0.342882 | − | 0.124799i | ||||
\(595\) | −1.42043 | − | 1.19188i | −0.0582320 | − | 0.0488625i | ||||
\(596\) | −28.3629 | − | 10.3232i | −1.16179 | − | 0.422857i | ||||
\(597\) | 26.9075 | + | 9.79352i | 1.10125 | + | 0.400822i | ||||
\(598\) | −8.14557 | − | 46.1958i | −0.333097 | − | 1.88909i | ||||
\(599\) | 16.5960 | − | 28.7451i | 0.678094 | − | 1.17449i | −0.297461 | − | 0.954734i | \(-0.596140\pi\) |
0.975554 | − | 0.219759i | \(-0.0705270\pi\) | |||||||
\(600\) | 4.06490 | − | 7.04061i | 0.165949 | − | 0.287432i | ||||
\(601\) | −1.62210 | − | 9.19941i | −0.0661670 | − | 0.375252i | −0.999853 | − | 0.0171584i | \(-0.994538\pi\) |
0.933686 | − | 0.358093i | \(-0.116573\pi\) | |||||||
\(602\) | 19.3630 | + | 7.04757i | 0.789178 | + | 0.287237i | ||||
\(603\) | 18.4477 | + | 6.71440i | 0.751247 | + | 0.273432i | ||||
\(604\) | 34.2438 | + | 28.7340i | 1.39336 | + | 1.16917i | ||||
\(605\) | −1.30616 | + | 0.475405i | −0.0531031 | + | 0.0193279i | ||||
\(606\) | 24.9858 | + | 9.09408i | 1.01498 | + | 0.369422i | ||||
\(607\) | −17.4398 | + | 6.34758i | −0.707861 | + | 0.257640i | −0.670763 | − | 0.741671i | \(-0.734033\pi\) |
−0.0370974 | + | 0.999312i | \(0.511811\pi\) | |||||||
\(608\) | −31.1624 | −1.26380 | ||||||||
\(609\) | 35.2763 | 1.42947 | ||||||||
\(610\) | −12.4044 | + | 4.51483i | −0.502239 | + | 0.182800i | ||||
\(611\) | 18.9747 | + | 32.8651i | 0.767632 | + | 1.32958i | ||||
\(612\) | 1.06698 | − | 6.05113i | 0.0431300 | − | 0.244603i | ||||
\(613\) | −4.28590 | −0.173106 | −0.0865529 | − | 0.996247i | \(-0.527585\pi\) | ||||
−0.0865529 | + | 0.996247i | \(0.527585\pi\) | |||||||
\(614\) | −9.37726 | − | 53.1811i | −0.378435 | − | 2.14621i | ||||
\(615\) | −1.93082 | − | 1.62015i | −0.0778582 | − | 0.0653308i | ||||
\(616\) | 2.32881 | − | 4.03361i | 0.0938304 | − | 0.162519i | ||||
\(617\) | 3.54971 | − | 20.1314i | 0.142906 | − | 0.810459i | −0.826119 | − | 0.563496i | \(-0.809456\pi\) |
0.969025 | − | 0.246963i | \(-0.0794327\pi\) | |||||||
\(618\) | −31.3525 | − | 26.3079i | −1.26118 | − | 1.05826i | ||||
\(619\) | 18.7503 | − | 6.82454i | 0.753637 | − | 0.274301i | 0.0635016 | − | 0.997982i | \(-0.479773\pi\) |
0.690135 | + | 0.723680i | \(0.257551\pi\) | |||||||
\(620\) | 13.7691 | − | 23.8487i | 0.552979 | − | 0.957788i | ||||
\(621\) | −7.17368 | −0.287870 | ||||||||
\(622\) | −20.4300 | + | 35.3858i | −0.819168 | + | 1.41884i | ||||
\(623\) | 0.795607 | − | 4.51211i | 0.0318753 | − | 0.180774i | ||||
\(624\) | −4.62833 | + | 26.2485i | −0.185281 | + | 1.05078i | ||||
\(625\) | 2.39843 | − | 2.01253i | 0.0959374 | − | 0.0805010i | ||||
\(626\) | 33.3285 | + | 12.1306i | 1.33207 | + | 0.484835i | ||||
\(627\) | −14.3451 | − | 24.8464i | −0.572886 | − | 0.992268i | ||||
\(628\) | 29.1117 | − | 24.4276i | 1.16168 | − | 0.974768i | ||||
\(629\) | −6.57772 | + | 2.39410i | −0.262271 | + | 0.0954589i | ||||
\(630\) | 7.18808 | − | 6.03152i | 0.286380 | − | 0.240301i | ||||
\(631\) | −2.84508 | + | 4.92783i | −0.113261 | + | 0.196174i | −0.917083 | − | 0.398696i | \(-0.869463\pi\) |
0.803822 | + | 0.594870i | \(0.202796\pi\) | |||||||
\(632\) | 1.52344 | − | 8.63984i | 0.0605991 | − | 0.343674i | ||||
\(633\) | −6.51379 | − | 5.46572i | −0.258900 | − | 0.217243i | ||||
\(634\) | 32.1028 | + | 11.6845i | 1.27497 | + | 0.464050i | ||||
\(635\) | −2.71080 | − | 4.69524i | −0.107575 | − | 0.186325i | ||||
\(636\) | −29.3410 | + | 10.6793i | −1.16345 | + | 0.423460i | ||||
\(637\) | −10.2163 | − | 17.6951i | −0.404784 | − | 0.701106i | ||||
\(638\) | −35.4223 | − | 61.3531i | −1.40238 | − | 2.42899i | ||||
\(639\) | 18.5271 | + | 15.5461i | 0.732920 | + | 0.614993i | ||||
\(640\) | −7.88963 | + | 6.62019i | −0.311865 | + | 0.261686i | ||||
\(641\) | −2.12081 | − | 12.0277i | −0.0837671 | − | 0.475067i | −0.997616 | − | 0.0690121i | \(-0.978015\pi\) |
0.913849 | − | 0.406055i | \(-0.133096\pi\) | |||||||
\(642\) | 4.18155 | + | 23.7147i | 0.165032 | + | 0.935945i | ||||
\(643\) | 13.6380 | + | 11.4436i | 0.537829 | + | 0.451292i | 0.870795 | − | 0.491647i | \(-0.163605\pi\) |
−0.332965 | + | 0.942939i | \(0.608049\pi\) | |||||||
\(644\) | −14.6344 | + | 12.2798i | −0.576678 | + | 0.483890i | ||||
\(645\) | 3.52972 | − | 20.0180i | 0.138983 | − | 0.788209i | ||||
\(646\) | 8.42449 | 0.331457 | ||||||||
\(647\) | 2.07067 | + | 11.7434i | 0.0814065 | + | 0.461679i | 0.998074 | + | 0.0620293i | \(0.0197572\pi\) |
−0.916668 | + | 0.399650i | \(0.869132\pi\) | |||||||
\(648\) | −10.1283 | − | 3.68640i | −0.397877 | − | 0.144815i | ||||
\(649\) | 4.85288 | + | 27.5220i | 0.190492 | + | 1.08033i | ||||
\(650\) | 14.6591 | − | 25.3904i | 0.574978 | − | 0.995892i | ||||
\(651\) | −22.0036 | + | 18.4632i | −0.862388 | + | 0.723629i | ||||
\(652\) | −27.9632 | − | 48.4336i | −1.09512 | − | 1.89681i | ||||
\(653\) | 23.8870 | 0.934769 | 0.467385 | − | 0.884054i | \(-0.345196\pi\) | ||||
0.467385 | + | 0.884054i | \(0.345196\pi\) | |||||||
\(654\) | 32.5813 | + | 39.9334i | 1.27403 | + | 1.56152i | ||||
\(655\) | −1.93613 | −0.0756508 | ||||||||
\(656\) | −1.17596 | − | 2.03682i | −0.0459135 | − | 0.0795245i | ||||
\(657\) | 14.5750 | − | 12.2299i | 0.568626 | − | 0.477134i | ||||
\(658\) | 13.9355 | − | 24.1369i | 0.543260 | − | 0.940955i | ||||
\(659\) | −1.34003 | − | 7.59969i | −0.0522001 | − | 0.296042i | 0.947520 | − | 0.319696i | \(-0.103581\pi\) |
−0.999720 | + | 0.0236546i | \(0.992470\pi\) | |||||||
\(660\) | −21.9533 | − | 7.99036i | −0.854532 | − | 0.311024i | ||||
\(661\) | 5.96986 | + | 33.8567i | 0.232201 | + | 1.31687i | 0.848430 | + | 0.529308i | \(0.177548\pi\) |
−0.616229 | + | 0.787567i | \(0.711341\pi\) | |||||||
\(662\) | 30.9342 | 1.20229 | ||||||||
\(663\) | 1.69182 | − | 9.59477i | 0.0657047 | − | 0.372630i | ||||
\(664\) | 3.52350 | − | 2.95657i | 0.136738 | − | 0.114737i | ||||
\(665\) | 5.46507 | + | 4.58574i | 0.211926 | + | 0.177827i | ||||
\(666\) | −6.15110 | − | 34.8846i | −0.238350 | − | 1.35175i | ||||
\(667\) | 9.92355 | + | 56.2792i | 0.384241 | + | 2.17914i | ||||
\(668\) | 35.3687 | − | 29.6779i | 1.36846 | − | 1.14827i | ||||
\(669\) | −30.0790 | − | 25.2393i | −1.16292 | − | 0.975807i | ||||
\(670\) | 10.9589 | + | 18.9813i | 0.423379 | + | 0.733313i | ||||
\(671\) | −7.66676 | − | 13.2792i | −0.295972 | − | 0.512639i | ||||
\(672\) | 24.8715 | − | 9.05250i | 0.959441 | − | 0.349208i | ||||
\(673\) | −10.1640 | − | 17.6045i | −0.391792 | − | 0.678604i | 0.600894 | − | 0.799329i | \(-0.294811\pi\) |
−0.992686 | + | 0.120725i | \(0.961478\pi\) | |||||||
\(674\) | −41.7349 | − | 15.1902i | −1.60757 | − | 0.585106i | ||||
\(675\) | −3.43466 | − | 2.88202i | −0.132200 | − | 0.110929i | ||||
\(676\) | 1.69597 | − | 9.61834i | 0.0652297 | − | 0.369936i | ||||
\(677\) | −7.09617 | + | 12.2909i | −0.272728 | + | 0.472379i | −0.969559 | − | 0.244856i | \(-0.921259\pi\) |
0.696831 | + | 0.717235i | \(0.254593\pi\) | |||||||
\(678\) | −25.3524 | + | 21.2732i | −0.973652 | + | 0.816991i | ||||
\(679\) | 14.0209 | − | 5.10320i | 0.538074 | − | 0.195843i | ||||
\(680\) | 1.03350 | − | 0.867212i | 0.0396330 | − | 0.0332561i | ||||
\(681\) | −19.1795 | − | 33.2199i | −0.734960 | − | 1.27299i | ||||
\(682\) | 54.2062 | + | 19.7294i | 2.07566 | + | 0.755479i | ||||
\(683\) | 18.6571 | − | 15.6552i | 0.713895 | − | 0.599029i | −0.211794 | − | 0.977314i | \(-0.567930\pi\) |
0.925689 | + | 0.378285i | \(0.123486\pi\) | |||||||
\(684\) | −4.10517 | + | 23.2816i | −0.156965 | + | 0.890193i | ||||
\(685\) | 5.17360 | − | 29.3410i | 0.197673 | − | 1.12106i | ||||
\(686\) | −18.0774 | + | 31.3110i | −0.690200 | + | 1.19546i | ||||
\(687\) | −22.6623 | −0.864621 | ||||||||
\(688\) | 9.48362 | − | 16.4261i | 0.361560 | − | 0.626240i | ||||
\(689\) | −20.8097 | + | 7.57411i | −0.792786 | + | 0.288551i | ||||
\(690\) | 26.0336 | + | 21.8448i | 0.991083 | + | 0.831618i | ||||
\(691\) | −0.381112 | + | 2.16139i | −0.0144982 | + | 0.0822232i | −0.991198 | − | 0.132385i | \(-0.957736\pi\) |
0.976700 | + | 0.214608i | \(0.0688475\pi\) | |||||||
\(692\) | 7.47501 | − | 12.9471i | 0.284157 | − | 0.492175i | ||||
\(693\) | 8.34959 | + | 7.00614i | 0.317175 | + | 0.266141i | ||||
\(694\) | −9.29637 | − | 52.7223i | −0.352885 | − | 2.00131i | ||||
\(695\) | 5.93149 | 0.224994 | ||||||||
\(696\) | −4.45702 | + | 25.2770i | −0.168943 | + | 0.958122i | ||||
\(697\) | 0.429855 | + | 0.744530i | 0.0162819 | + | 0.0282011i | ||||
\(698\) | 7.01326 | − | 2.55262i | 0.265456 | − | 0.0966180i | ||||
\(699\) | 24.8360 | 0.939383 | ||||||||
\(700\) | −11.9401 | −0.451295 | ||||||||
\(701\) | −18.2037 | + | 6.62560i | −0.687543 | + | 0.250245i | −0.662083 | − | 0.749431i | \(-0.730327\pi\) |
−0.0254603 | + | 0.999676i | \(0.508105\pi\) | |||||||
\(702\) | −10.9185 | − | 3.97402i | −0.412093 | − | 0.149990i | ||||
\(703\) | 25.3076 | − | 9.21121i | 0.954494 | − | 0.347407i | ||||
\(704\) | −27.3035 | − | 22.9104i | −1.02904 | − | 0.863468i | ||||
\(705\) | −25.8357 | − | 9.40341i | −0.973027 | − | 0.354153i | ||||
\(706\) | −54.8615 | − | 19.9680i | −2.06474 | − | 0.751504i | ||||
\(707\) | −1.33364 | − | 7.56346i | −0.0501567 | − | 0.284453i | ||||
\(708\) | 25.7416 | − | 44.5857i | 0.967427 | − | 1.67563i | ||||
\(709\) | 18.0871 | − | 31.3278i | 0.679277 | − | 1.17654i | −0.295922 | − | 0.955212i | \(-0.595627\pi\) |
0.975199 | − | 0.221330i | \(-0.0710397\pi\) | |||||||
\(710\) | 4.68882 | + | 26.5916i | 0.175968 | + | 0.997966i | ||||
\(711\) | 19.2925 | + | 7.02188i | 0.723524 | + | 0.263341i | ||||
\(712\) | 3.13261 | + | 1.14018i | 0.117399 | + | 0.0427299i | ||||
\(713\) | −35.6457 | − | 29.9103i | −1.33494 | − | 1.12015i | ||||
\(714\) | −6.72382 | + | 2.44727i | −0.251633 | + | 0.0915868i | ||||
\(715\) | −15.5701 | − | 5.66704i | −0.582288 | − | 0.211935i | ||||
\(716\) | 13.4159 | − | 4.88300i | 0.501377 | − | 0.182486i | ||||
\(717\) | 51.8518 | 1.93644 | ||||||||
\(718\) | −2.49019 | −0.0929331 | ||||||||
\(719\) | 19.5981 | − | 7.13313i | 0.730886 | − | 0.266021i | 0.0503460 | − | 0.998732i | \(-0.483968\pi\) |
0.680540 | + | 0.732711i | \(0.261745\pi\) | |||||||
\(720\) | −4.31863 | − | 7.48009i | −0.160946 | − | 0.278766i | ||||
\(721\) | −2.05282 | + | 11.6421i | −0.0764510 | + | 0.433575i | ||||
\(722\) | 7.84563 | 0.291984 | ||||||||
\(723\) | 5.83263 | + | 33.0785i | 0.216918 | + | 1.23020i | ||||
\(724\) | −4.15938 | − | 3.49014i | −0.154582 | − | 0.129710i | ||||
\(725\) | −17.8589 | + | 30.9325i | −0.663262 | + | 1.14880i | ||||
\(726\) | −0.931421 | + | 5.28235i | −0.0345683 | + | 0.196046i | ||||
\(727\) | −26.6602 | − | 22.3706i | −0.988772 | − | 0.829678i | −0.00338234 | − | 0.999994i | \(-0.501077\pi\) |
−0.985389 | + | 0.170316i | \(0.945521\pi\) | |||||||
\(728\) | −5.71842 | + | 2.08133i | −0.211939 | + | 0.0771393i | ||||
\(729\) | 7.95311 | − | 13.7752i | 0.294560 | − | 0.510192i | ||||
\(730\) | 21.2420 | 0.786203 | ||||||||
\(731\) | −3.46660 | + | 6.00433i | −0.128217 | + | 0.222078i | ||||
\(732\) | −4.90510 | + | 27.8182i | −0.181298 | + | 1.02819i | ||||
\(733\) | −0.334282 | + | 1.89581i | −0.0123470 | + | 0.0700233i | −0.990359 | − | 0.138527i | \(-0.955763\pi\) |
0.978012 | + | 0.208550i | \(0.0668744\pi\) | |||||||
\(734\) | −46.6111 | + | 39.1114i | −1.72045 | + | 1.44363i | ||||
\(735\) | 13.9104 | + | 5.06296i | 0.513092 | + | 0.186750i | ||||
\(736\) | 21.4388 | + | 37.1332i | 0.790246 | + | 1.36875i | ||||
\(737\) | −19.5031 | + | 16.3650i | −0.718404 | + | 0.602813i | ||||
\(738\) | −4.08818 | + | 1.48798i | −0.150488 | + | 0.0547732i | ||||
\(739\) | 14.2696 | − | 11.9736i | 0.524914 | − | 0.440456i | −0.341427 | − | 0.939908i | \(-0.610910\pi\) |
0.866341 | + | 0.499453i | \(0.166466\pi\) | |||||||
\(740\) | 10.9652 | − | 18.9923i | 0.403089 | − | 0.698171i | ||||
\(741\) | −6.50922 | + | 36.9156i | −0.239122 | + | 1.35613i | ||||
\(742\) | 12.4589 | + | 10.4543i | 0.457382 | + | 0.383789i | ||||
\(743\) | 4.19479 | + | 1.52678i | 0.153892 | + | 0.0560121i | 0.417818 | − | 0.908531i | \(-0.362795\pi\) |
−0.263926 | + | 0.964543i | \(0.585017\pi\) | |||||||
\(744\) | −10.4496 | − | 18.0993i | −0.383102 | − | 0.663552i | ||||
\(745\) | 14.5737 | − | 5.30440i | 0.533940 | − | 0.194338i | ||||
\(746\) | 22.0392 | + | 38.1729i | 0.806911 | + | 1.39761i | ||||
\(747\) | 5.38193 | + | 9.32177i | 0.196914 | + | 0.341066i | ||||
\(748\) | 6.10425 | + | 5.12207i | 0.223193 | + | 0.187281i | ||||
\(749\) | 5.32822 | − | 4.47091i | 0.194689 | − | 0.163363i | ||||
\(750\) | 9.17134 | + | 52.0132i | 0.334890 | + | 1.89926i | ||||
\(751\) | 5.87262 | + | 33.3053i | 0.214295 | + | 1.21533i | 0.882126 | + | 0.471014i | \(0.156112\pi\) |
−0.667831 | + | 0.744313i | \(0.732777\pi\) | |||||||
\(752\) | −19.6527 | − | 16.4906i | −0.716660 | − | 0.601349i | ||||
\(753\) | −28.5636 | + | 23.9677i | −1.04092 | + | 0.873432i | ||||
\(754\) | −16.0732 | + | 91.1557i | −0.585352 | + | 3.31970i | ||||
\(755\) | −22.9693 | −0.835939 | ||||||||
\(756\) | 0.821712 | + | 4.66016i | 0.0298854 | + | 0.169488i | ||||
\(757\) | −19.4007 | − | 7.06127i | −0.705129 | − | 0.256646i | −0.0355301 | − | 0.999369i | \(-0.511312\pi\) |
−0.669599 | + | 0.742722i | \(0.733534\pi\) | |||||||
\(758\) | −2.86223 | − | 16.2325i | −0.103961 | − | 0.589591i | ||||
\(759\) | −19.7380 | + | 34.1872i | −0.716444 | + | 1.24092i | ||||
\(760\) | −3.97637 | + | 3.33657i | −0.144238 | + | 0.121030i | ||||
\(761\) | −11.2874 | − | 19.5504i | −0.409168 | − | 0.708701i | 0.585628 | − | 0.810580i | \(-0.300848\pi\) |
−0.994797 | + | 0.101879i | \(0.967514\pi\) | |||||||
\(762\) | −20.9214 | −0.757903 | ||||||||
\(763\) | 5.28370 | − | 13.9173i | 0.191283 | − | 0.503840i | ||||
\(764\) | 5.62140 | 0.203375 | ||||||||
\(765\) | 1.57861 | + | 2.73424i | 0.0570748 | + | 0.0988565i | ||||
\(766\) | 43.0899 | − | 36.1567i | 1.55690 | − | 1.30639i | ||||
\(767\) | 18.2568 | − | 31.6217i | 0.659216 | − | 1.14179i | ||||
\(768\) | −2.25800 | − | 12.8057i | −0.0814784 | − | 0.462087i | ||||
\(769\) | 30.8164 | + | 11.2162i | 1.11127 | + | 0.404468i | 0.831458 | − | 0.555588i | \(-0.187507\pi\) |
0.279809 | + | 0.960056i | \(0.409729\pi\) | |||||||
\(770\) | 2.11311 | + | 11.9840i | 0.0761512 | + | 0.431875i | ||||
\(771\) | −49.4659 | −1.78147 | ||||||||
\(772\) | −3.06948 | + | 17.4079i | −0.110473 | + | 0.626523i | ||||
\(773\) | −5.34205 | + | 4.48251i | −0.192140 | + | 0.161225i | −0.733783 | − | 0.679384i | \(-0.762247\pi\) |
0.541643 | + | 0.840609i | \(0.317803\pi\) | |||||||
\(774\) | −26.8770 | − | 22.5525i | −0.966073 | − | 0.810632i | ||||
\(775\) | −5.05022 | − | 28.6412i | −0.181409 | − | 1.02882i | ||||
\(776\) | 1.88518 | + | 10.6914i | 0.0676740 | + | 0.383798i | ||||
\(777\) | −17.5229 | + | 14.7034i | −0.628630 | + | 0.527483i | ||||
\(778\) | 38.3611 | + | 32.1888i | 1.37531 | + | 1.15402i | ||||
\(779\) | −1.65385 | − | 2.86456i | −0.0592555 | − | 0.102633i | ||||
\(780\) | 15.2620 | + | 26.4345i | 0.546466 | + | 0.946507i | ||||
\(781\) | −29.4735 | + | 10.7275i | −1.05464 | + | 0.383859i | ||||
\(782\) | −5.79581 | − | 10.0386i | −0.207258 | − | 0.358981i | ||||
\(783\) | 13.3018 | + | 4.84145i | 0.475366 | + | 0.173019i | ||||
\(784\) | 10.5813 | + | 8.87880i | 0.377905 | + | 0.317100i | ||||
\(785\) | −3.39081 | + | 19.2303i | −0.121023 | + | 0.686357i | ||||
\(786\) | −3.73567 | + | 6.47036i | −0.133247 | + | 0.230790i | ||||
\(787\) | −8.66819 | + | 7.27347i | −0.308987 | + | 0.259271i | −0.784073 | − | 0.620668i | \(-0.786861\pi\) |
0.475086 | + | 0.879939i | \(0.342417\pi\) | |||||||
\(788\) | 7.66259 | − | 2.78895i | 0.272968 | − | 0.0993524i | ||||
\(789\) | −45.5868 | + | 38.2519i | −1.62293 | + | 1.36180i | ||||
\(790\) | 11.4607 | + | 19.8506i | 0.407755 | + | 0.706252i | ||||
\(791\) | 8.98281 | + | 3.26947i | 0.319392 | + | 0.116249i | ||||
\(792\) | −6.07515 | + | 5.09765i | −0.215871 | + | 0.181137i | ||||
\(793\) | −3.47887 | + | 19.7297i | −0.123538 | + | 0.700621i | ||||
\(794\) | 8.96569 | − | 50.8470i | 0.318181 | − | 1.80449i | ||||
\(795\) | 8.02195 | − | 13.8944i | 0.284509 | − | 0.492784i | ||||
\(796\) | 30.5991 | 1.08456 | ||||||||
\(797\) | 22.2678 | − | 38.5689i | 0.788765 | − | 1.36618i | −0.137959 | − | 0.990438i | \(-0.544054\pi\) |
0.926724 | − | 0.375743i | \(-0.122612\pi\) | |||||||
\(798\) | 25.8697 | − | 9.41580i | 0.915777 | − | 0.333316i | ||||
\(799\) | 7.18375 | + | 6.02788i | 0.254143 | + | 0.213251i | ||||
\(800\) | −4.65359 | + | 26.3918i | −0.164529 | + | 0.933093i | ||||
\(801\) | −3.90066 | + | 6.75613i | −0.137823 | + | 0.238716i | ||||
\(802\) | −53.2503 | − | 44.6823i | −1.88033 | − | 1.57779i | ||||
\(803\) | 4.28468 | + | 24.2997i | 0.151203 | + | 0.857516i | ||||
\(804\) | 46.9013 | 1.65408 | ||||||||
\(805\) | 1.70456 | − | 9.66705i | 0.0600779 | − | 0.340719i | ||||
\(806\) | −37.6842 | − | 65.2709i | −1.32737 | − | 2.29907i | ||||
\(807\) | −14.9780 | + | 5.45156i | −0.527251 | + | 0.191904i | ||||
\(808\) | 5.58805 | 0.196587 | ||||||||
\(809\) | 24.8242 | 0.872773 | 0.436386 | − | 0.899759i | \(-0.356258\pi\) | ||||
0.436386 | + | 0.899759i | \(0.356258\pi\) | |||||||
\(810\) | 26.4621 | − | 9.63142i | 0.929784 | − | 0.338414i | ||||
\(811\) | 38.1340 | + | 13.8796i | 1.33907 | + | 0.487380i | 0.909518 | − | 0.415664i | \(-0.136451\pi\) |
0.429548 | + | 0.903044i | \(0.358673\pi\) | |||||||
\(812\) | 35.4233 | − | 12.8930i | 1.24312 | − | 0.452457i | ||||
\(813\) | −40.1879 | − | 33.7216i | −1.40945 | − | 1.18267i | ||||
\(814\) | 43.1679 | + | 15.7118i | 1.51304 | + | 0.550700i | ||||
\(815\) | 27.0036 | + | 9.82852i | 0.945896 | + | 0.344278i | ||||
\(816\) | 1.14371 | + | 6.48632i | 0.0400380 | + | 0.227067i | ||||
\(817\) | 13.3376 | − | 23.1015i | 0.466625 | − | 0.808218i | ||||
\(818\) | −29.1032 | + | 50.4082i | −1.01757 | + | 1.76248i | ||||
\(819\) | −2.47291 | − | 14.0246i | −0.0864104 | − | 0.490057i | ||||
\(820\) | −2.53102 | − | 0.921215i | −0.0883869 | − | 0.0321702i | ||||
\(821\) | 1.48304 | + | 0.539783i | 0.0517585 | + | 0.0188385i | 0.367770 | − | 0.929917i | \(-0.380121\pi\) |
−0.316011 | + | 0.948755i | \(0.602344\pi\) | |||||||
\(822\) | −88.0726 | − | 73.9017i | −3.07189 | − | 2.57762i | ||||
\(823\) | −36.7802 | + | 13.3869i | −1.28208 | + | 0.466638i | −0.891119 | − | 0.453770i | \(-0.850079\pi\) |
−0.390959 | + | 0.920408i | \(0.627857\pi\) | |||||||
\(824\) | −8.08272 | − | 2.94187i | −0.281575 | − | 0.102485i | ||||
\(825\) | −23.1849 | + | 8.43863i | −0.807196 | + | 0.293795i | ||||
\(826\) | −26.8165 | −0.933066 | ||||||||
\(827\) | 16.0556 | 0.558309 | 0.279154 | − | 0.960246i | \(-0.409946\pi\) | ||||
0.279154 | + | 0.960246i | \(0.409946\pi\) | |||||||
\(828\) | 30.5666 | − | 11.1253i | 1.06226 | − | 0.386632i | ||||
\(829\) | −12.1765 | − | 21.0903i | −0.422907 | − | 0.732497i | 0.573315 | − | 0.819335i | \(-0.305657\pi\) |
−0.996222 | + | 0.0868379i | \(0.972324\pi\) | |||||||
\(830\) | −2.08679 | + | 11.8348i | −0.0724335 | + | 0.410791i | ||||
\(831\) | −53.2702 | −1.84792 | ||||||||
\(832\) | 8.08652 | + | 45.8609i | 0.280350 | + | 1.58994i | ||||
\(833\) | −3.86786 | − | 3.24552i | −0.134013 | − | 0.112451i | ||||
\(834\) | 11.4445 | − | 19.8225i | 0.396292 | − | 0.686397i | ||||
\(835\) | −4.11960 | + | 23.3634i | −0.142565 | + | 0.808525i | ||||
\(836\) | −23.4859 | − | 19.7070i | −0.812277 | − | 0.681581i | ||||
\(837\) | −10.8309 | + | 3.94214i | −0.374372 | + | 0.136260i | ||||
\(838\) | −11.7086 | + | 20.2798i | −0.404466 | + | 0.700556i | ||||
\(839\) | 12.7106 | 0.438817 | 0.219409 | − | 0.975633i | \(-0.429587\pi\) | ||||
0.219409 | + | 0.975633i | \(0.429587\pi\) | |||||||
\(840\) | 2.20440 | − | 3.81813i | 0.0760589 | − | 0.131738i | ||||
\(841\) | 14.5458 | − | 82.4934i | 0.501580 | − | 2.84460i | ||||
\(842\) | −10.9190 | + | 61.9248i | −0.376294 | + | 2.13407i | ||||
\(843\) | 45.8053 | − | 38.4352i | 1.57762 | − | 1.32378i | ||||
\(844\) | −8.53861 | − | 3.10780i | −0.293911 | − | 0.106975i | ||||
\(845\) | 2.50922 | + | 4.34610i | 0.0863198 | + | 0.149510i | ||||
\(846\) | −36.3533 | + | 30.5041i | −1.24985 | + | 1.04875i | ||||
\(847\) | 1.45587 | − | 0.529894i | 0.0500243 | − | 0.0182074i | ||||
\(848\) | 11.4683 | − | 9.62302i | 0.393822 | − | 0.330456i | ||||
\(849\) | 11.3470 | − | 19.6535i | 0.389426 | − | 0.674506i | ||||
\(850\) | 1.25806 | − | 7.13482i | 0.0431511 | − | 0.244722i | ||||
\(851\) | −28.3870 | − | 23.8195i | −0.973095 | − | 0.816523i | ||||
\(852\) | 54.2959 | + | 19.7621i | 1.86015 | + | 0.677038i | ||||
\(853\) | 2.11138 | + | 3.65701i | 0.0722922 | + | 0.125214i | 0.899906 | − | 0.436085i | \(-0.143635\pi\) |
−0.827613 | + | 0.561299i | \(0.810302\pi\) | |||||||
\(854\) | 13.8261 | − | 5.03231i | 0.473121 | − | 0.172202i | ||||
\(855\) | −6.07366 | − | 10.5199i | −0.207715 | − | 0.359773i | ||||
\(856\) | 2.53040 | + | 4.38279i | 0.0864874 | + | 0.149801i | ||||
\(857\) | −2.77426 | − | 2.32788i | −0.0947669 | − | 0.0795189i | 0.594173 | − | 0.804337i | \(-0.297479\pi\) |
−0.688940 | + | 0.724818i | \(0.741924\pi\) | |||||||
\(858\) | −48.9804 | + | 41.0995i | −1.67216 | + | 1.40311i | ||||
\(859\) | 0.451085 | + | 2.55823i | 0.0153908 | + | 0.0872857i | 0.991536 | − | 0.129835i | \(-0.0414447\pi\) |
−0.976145 | + | 0.217120i | \(0.930334\pi\) | |||||||
\(860\) | −3.77191 | − | 21.3916i | −0.128621 | − | 0.729447i | ||||
\(861\) | 2.15213 | + | 1.80585i | 0.0733442 | + | 0.0615431i | ||||
\(862\) | 23.0297 | − | 19.3242i | 0.784395 | − | 0.658186i | ||||
\(863\) | 5.31914 | − | 30.1663i | 0.181066 | − | 1.02687i | −0.749841 | − | 0.661618i | \(-0.769870\pi\) |
0.930907 | − | 0.365257i | \(-0.119019\pi\) | |||||||
\(864\) | 10.6208 | 0.361328 | ||||||||
\(865\) | 1.33393 | + | 7.56507i | 0.0453549 | + | 0.257220i | ||||
\(866\) | −78.6092 | − | 28.6114i | −2.67125 | − | 0.972255i | ||||
\(867\) | 6.45946 | + | 36.6334i | 0.219375 | + | 1.24414i | ||||
\(868\) | −15.3472 | + | 26.5822i | −0.520919 | + | 0.902259i | ||||
\(869\) | −20.3962 | + | 17.1144i | −0.691893 | + | 0.580567i | ||||
\(870\) | −33.5299 | − | 58.0755i | −1.13677 | − | 1.96894i | ||||
\(871\) | 33.2640 | 1.12711 | ||||||||
\(872\) | 9.30478 | + | 5.54440i | 0.315100 | + | 0.187757i | ||||
\(873\) | −25.4056 | −0.859850 | ||||||||
\(874\) | 22.2992 | + | 38.6234i | 0.754282 | + | 1.30646i | ||||
\(875\) | 11.6863 | − | 9.80599i | 0.395070 | − | 0.331503i | ||||
\(876\) | 22.7276 | − | 39.3654i | 0.767896 | − | 1.33003i | ||||
\(877\) | −1.10281 | − | 6.25434i | −0.0372392 | − | 0.211194i | 0.960510 | − | 0.278244i | \(-0.0897524\pi\) |
−0.997750 | + | 0.0670499i | \(0.978641\pi\) | |||||||
\(878\) | −0.702399 | − | 0.255652i | −0.0237048 | − | 0.00862785i | ||||
\(879\) | −1.34190 | − | 7.61031i | −0.0452613 | − | 0.256689i | ||||
\(880\) | 11.2013 | 0.377596 | ||||||||
\(881\) | −6.24396 | + | 35.4112i | −0.210364 | + | 1.19304i | 0.678408 | + | 0.734686i | \(0.262670\pi\) |
−0.888772 | + | 0.458350i | \(0.848441\pi\) | |||||||
\(882\) | 19.5733 | − | 16.4239i | 0.659066 | − | 0.553022i | ||||
\(883\) | 16.1885 | + | 13.5838i | 0.544787 | + | 0.457131i | 0.873171 | − | 0.487413i | \(-0.162060\pi\) |
−0.328384 | + | 0.944544i | \(0.606504\pi\) | |||||||
\(884\) | −1.80790 | − | 10.2531i | −0.0608063 | − | 0.344850i | ||||
\(885\) | 4.59362 | + | 26.0517i | 0.154413 | + | 0.875719i | ||||
\(886\) | 11.1889 | − | 9.38858i | 0.375898 | − | 0.315416i | ||||
\(887\) | −25.1873 | − | 21.1347i | −0.845708 | − | 0.709634i | 0.113132 | − | 0.993580i | \(-0.463912\pi\) |
−0.958840 | + | 0.283946i | \(0.908356\pi\) | |||||||
\(888\) | −8.32172 | − | 14.4136i | −0.279259 | − | 0.483690i | ||||
\(889\) | 3.02150 | + | 5.23339i | 0.101338 | + | 0.175522i | ||||
\(890\) | −8.18453 | + | 2.97893i | −0.274346 | + | 0.0998539i | ||||
\(891\) | 16.3554 | + | 28.3284i | 0.547926 | + | 0.949036i | ||||
\(892\) | −39.4291 | − | 14.3510i | −1.32018 | − | 0.480507i | ||||
\(893\) | −27.6393 | − | 23.1921i | −0.924913 | − | 0.776094i | ||||
\(894\) | 10.3925 | − | 58.9387i | 0.347576 | − | 1.97120i | ||||
\(895\) | −3.66797 | + | 6.35310i | −0.122607 | + | 0.212361i | ||||
\(896\) | 8.79391 | − | 7.37897i | 0.293784 | − | 0.246514i | ||||
\(897\) | 48.4669 | − | 17.6405i | 1.61826 | − | 0.588999i | ||||
\(898\) | −9.95291 | + | 8.35149i | −0.332133 | + | 0.278693i | ||||
\(899\) | 45.9097 | + | 79.5180i | 1.53117 | + | 2.65207i | ||||
\(900\) | 19.1044 | + | 6.95345i | 0.636815 | + | 0.231782i | ||||
\(901\) | −4.19206 | + | 3.51756i | −0.139658 | + | 0.117187i | ||||
\(902\) | 0.979733 | − | 5.55634i | 0.0326215 | − | 0.185006i | ||||
\(903\) | −3.93429 | + | 22.3124i | −0.130925 | + | 0.742511i | ||||
\(904\) | −3.47767 | + | 6.02349i | −0.115665 | + | 0.200338i | ||||
\(905\) | 2.78994 | 0.0927408 | ||||||||
\(906\) | −44.3182 | + | 76.7613i | −1.47237 | + | 2.55022i | ||||
\(907\) | 1.41613 | − | 0.515430i | 0.0470219 | − | 0.0171146i | −0.318402 | − | 0.947956i | \(-0.603146\pi\) |
0.365424 | + | 0.930841i | \(0.380924\pi\) | |||||||
\(908\) | −31.4009 | − | 26.3485i | −1.04208 | − | 0.874406i | ||||
\(909\) | −2.27080 | + | 12.8783i | −0.0753175 | + | 0.427147i | ||||
\(910\) | 7.94965 | − | 13.7692i | 0.263528 | − | 0.456445i | ||||
\(911\) | −12.7030 | − | 10.6591i | −0.420869 | − | 0.353151i | 0.407624 | − | 0.913150i | \(-0.366357\pi\) |
−0.828494 | + | 0.559998i | \(0.810802\pi\) | |||||||
\(912\) | −4.40041 | − | 24.9559i | −0.145712 | − | 0.826374i | ||||
\(913\) | −13.9592 | −0.461982 | ||||||||
\(914\) | −5.24182 | + | 29.7278i | −0.173384 | + | 0.983309i | ||||
\(915\) | −7.25718 | − | 12.5698i | −0.239915 | − | 0.415545i | ||||
\(916\) | −22.7568 | + | 8.28280i | −0.751906 | + | 0.273671i | ||||
\(917\) | 2.15804 | 0.0712648 | ||||||||
\(918\) | −2.87125 | −0.0947655 | ||||||||
\(919\) | −3.17130 | + | 1.15426i | −0.104612 | + | 0.0380755i | −0.393796 | − | 0.919198i | \(-0.628838\pi\) |
0.289184 | + | 0.957274i | \(0.406616\pi\) | |||||||
\(920\) | 6.71150 | + | 2.44279i | 0.221272 | + | 0.0805363i | ||||
\(921\) | 55.7955 | − | 20.3079i | 1.83853 | − | 0.669169i | ||||
\(922\) | 37.0967 | + | 31.1278i | 1.22171 | + | 1.02514i | ||||
\(923\) | 38.5086 | + | 14.0160i | 1.26753 | + | 0.461342i | ||||
\(924\) | 24.4695 | + | 8.90618i | 0.804989 | + | 0.292992i | ||||
\(925\) | −4.02183 | − | 22.8089i | −0.132237 | − | 0.749952i | ||||
\(926\) | −10.5612 | + | 18.2925i | −0.347062 | + | 0.601128i | ||||
\(927\) | 10.0644 | − | 17.4321i | 0.330559 | − | 0.572546i | ||||
\(928\) | −14.6921 | − | 83.3228i | −0.482291 | − | 2.73521i | ||||
\(929\) | −3.45414 | − | 1.25720i | −0.113327 | − | 0.0412475i | 0.284734 | − | 0.958606i | \(-0.408095\pi\) |
−0.398061 | + | 0.917359i | \(0.630317\pi\) | |||||||
\(930\) | 51.3103 | + | 18.6754i | 1.68253 | + | 0.612391i | ||||
\(931\) | 14.8815 | + | 12.4870i | 0.487720 | + | 0.409246i | ||||
\(932\) | 24.9395 | − | 9.07725i | 0.816922 | − | 0.297335i | ||||
\(933\) | −42.2175 | − | 15.3659i | −1.38214 | − | 0.503057i | ||||
\(934\) | −34.2263 | + | 12.4573i | −1.11992 | + | 0.407617i | ||||
\(935\) | −4.09448 | −0.133904 | ||||||||
\(936\) | 10.3617 | 0.338681 | ||||||||
\(937\) | −55.3424 | + | 20.1430i | −1.80796 | + | 0.658043i | −0.810584 | + | 0.585622i | \(0.800850\pi\) |
−0.997374 | + | 0.0724207i | \(0.976928\pi\) | |||||||
\(938\) | −12.2150 | − | 21.1569i | −0.398833 | − | 0.690798i | ||||
\(939\) | −6.77186 | + | 38.4051i | −0.220991 | + | 1.25330i | ||||
\(940\) | −29.3802 | −0.958277 | ||||||||
\(941\) | −5.60592 | − | 31.7927i | −0.182748 | − | 1.03641i | −0.928815 | − | 0.370543i | \(-0.879171\pi\) |
0.746067 | − | 0.665870i | \(-0.231940\pi\) | |||||||
\(942\) | 57.7233 | + | 48.4356i | 1.88073 | + | 1.57812i | ||||
\(943\) | −2.27561 | + | 3.94147i | −0.0741040 | + | 0.128352i | ||||
\(944\) | −4.28637 | + | 24.3092i | −0.139509 | + | 0.791197i | ||||
\(945\) | −1.86262 | − | 1.56292i | −0.0605909 | − | 0.0508418i | ||||
\(946\) | 42.7568 | − | 15.5622i | 1.39014 | − | 0.505971i | ||||
\(947\) | 24.8102 | − | 42.9726i | 0.806224 | − | 1.39642i | −0.109238 | − | 0.994016i | \(-0.534841\pi\) |
0.915462 | − | 0.402405i | \(-0.131826\pi\) | |||||||
\(948\) | 49.0490 | 1.59304 | ||||||||
\(949\) | 16.1192 | − | 27.9194i | 0.523253 | − | 0.906301i | ||||
\(950\) | −4.84035 | + | 27.4510i | −0.157042 | + | 0.890628i | ||||
\(951\) | −6.52283 | + | 36.9928i | −0.211517 | + | 1.19957i | ||||
\(952\) | −1.15196 | + | 0.966609i | −0.0373352 | + | 0.0313280i | ||||
\(953\) | 15.3579 | + | 5.58983i | 0.497492 | + | 0.181072i | 0.578566 | − | 0.815636i | \(-0.303613\pi\) |
−0.0810737 | + | 0.996708i | \(0.525835\pi\) | |||||||
\(954\) | −13.8464 | − | 23.9826i | −0.448293 | − | 0.776466i | ||||
\(955\) | −2.21268 | + | 1.85666i | −0.0716007 | + | 0.0600801i | ||||
\(956\) | 52.0680 | − | 18.9512i | 1.68400 | − | 0.612926i | ||||
\(957\) | 59.6717 | − | 50.0705i | 1.92891 | − | 1.61855i | ||||
\(958\) | −25.5332 | + | 44.2249i | −0.824941 | + | 1.42884i | ||||
\(959\) | −5.76659 | + | 32.7039i | −0.186213 | + | 1.05607i | ||||
\(960\) | −25.8449 | − | 21.6865i | −0.834141 | − | 0.699927i | ||||
\(961\) | −41.1245 | − | 14.9681i | −1.32660 | − | 0.482842i | ||||
\(962\) | −30.0104 | − | 51.9795i | −0.967574 | − | 1.67589i | ||||
\(963\) | −11.1289 | + | 4.05060i | −0.358624 | + | 0.130529i | ||||
\(964\) | 17.9467 | + | 31.0847i | 0.578026 | + | 1.00117i | ||||
\(965\) | −4.54134 | − | 7.86584i | −0.146191 | − | 0.253210i | ||||
\(966\) | −29.0175 | − | 24.3486i | −0.933623 | − | 0.783403i | ||||
\(967\) | 2.44570 | − | 2.05218i | 0.0786483 | − | 0.0659938i | −0.602616 | − | 0.798031i | \(-0.705875\pi\) |
0.681264 | + | 0.732038i | \(0.261430\pi\) | |||||||
\(968\) | 0.195749 | + | 1.11015i | 0.00629160 | + | 0.0356815i | ||||
\(969\) | 1.60850 | + | 9.12228i | 0.0516726 | + | 0.293050i | ||||
\(970\) | −21.7282 | − | 18.2322i | −0.697652 | − | 0.585399i | ||||
\(971\) | −6.00504 | + | 5.03882i | −0.192711 | + | 0.161704i | −0.734038 | − | 0.679109i | \(-0.762367\pi\) |
0.541327 | + | 0.840812i | \(0.317922\pi\) | |||||||
\(972\) | 8.73512 | − | 49.5393i | 0.280179 | − | 1.58897i | ||||
\(973\) | −6.61134 | −0.211950 | ||||||||
\(974\) | −13.2442 | − | 75.1116i | −0.424371 | − | 2.40673i | ||||
\(975\) | 30.2923 | + | 11.0255i | 0.970130 | + | 0.353098i | ||||
\(976\) | −2.35181 | − | 13.3378i | −0.0752796 | − | 0.426932i | ||||
\(977\) | −19.4906 | + | 33.7587i | −0.623559 | + | 1.08004i | 0.365259 | + | 0.930906i | \(0.380980\pi\) |
−0.988818 | + | 0.149129i | \(0.952353\pi\) | |||||||
\(978\) | 84.9482 | − | 71.2800i | 2.71634 | − | 2.27928i | ||||
\(979\) | −5.05860 | − | 8.76175i | −0.161674 | − | 0.280027i | ||||
\(980\) | 15.8188 | 0.505313 | ||||||||
\(981\) | −16.5589 | + | 19.1909i | −0.528684 | + | 0.612719i | ||||
\(982\) | −34.2813 | −1.09396 | ||||||||
\(983\) | 29.2083 | + | 50.5903i | 0.931601 | + | 1.61358i | 0.780586 | + | 0.625048i | \(0.214921\pi\) |
0.151015 | + | 0.988531i | \(0.451746\pi\) | |||||||
\(984\) | −1.56588 | + | 1.31393i | −0.0499185 | + | 0.0418866i | ||||
\(985\) | −2.09498 | + | 3.62861i | −0.0667516 | + | 0.115617i | ||||
\(986\) | 3.97188 | + | 22.5256i | 0.126490 | + | 0.717363i | ||||
\(987\) | 28.7968 | + | 10.4812i | 0.916614 | + | 0.333620i | ||||
\(988\) | 6.95584 | + | 39.4485i | 0.221295 | + | 1.25503i | ||||
\(989\) | −36.7037 | −1.16711 | ||||||||
\(990\) | 3.59800 | − | 20.4053i | 0.114352 | − | 0.648522i | ||||
\(991\) | 6.03348 | − | 5.06269i | 0.191660 | − | 0.160822i | −0.541908 | − | 0.840438i | \(-0.682298\pi\) |
0.733568 | + | 0.679616i | \(0.237854\pi\) | |||||||
\(992\) | 52.7744 | + | 44.2830i | 1.67559 | + | 1.40599i | ||||
\(993\) | 5.90632 | + | 33.4964i | 0.187431 | + | 1.06298i | ||||
\(994\) | −5.22624 | − | 29.6395i | −0.165766 | − | 0.940107i | ||||
\(995\) | −12.0443 | + | 10.1064i | −0.381831 | + | 0.320394i | ||||
\(996\) | 19.6993 | + | 16.5297i | 0.624196 | + | 0.523762i | ||||
\(997\) | 9.82518 | + | 17.0177i | 0.311166 | + | 0.538956i | 0.978615 | − | 0.205700i | \(-0.0659470\pi\) |
−0.667449 | + | 0.744656i | \(0.732614\pi\) | |||||||
\(998\) | −14.5944 | − | 25.2782i | −0.461976 | − | 0.800167i | ||||
\(999\) | −8.62539 | + | 3.13938i | −0.272895 | + | 0.0993257i |
(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 | 109.2.f.a.16.6 | ✓ | 42 | |
3.2 | odd | 2 | 981.2.w.a.343.2 | 42 | |||
109.75 | even | 9 | inner | 109.2.f.a.75.6 | yes | 42 | |
327.293 | odd | 18 | 981.2.w.a.838.2 | 42 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
109.2.f.a.16.6 | ✓ | 42 | 1.1 | even | 1 | trivial | |
109.2.f.a.75.6 | yes | 42 | 109.75 | even | 9 | inner | |
981.2.w.a.343.2 | 42 | 3.2 | odd | 2 | |||
981.2.w.a.838.2 | 42 | 327.293 | odd | 18 |