Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(59,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 7]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.59");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.r (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 239.14 | ||
Character | \(\chi\) | \(=\) | 300.239 |
Dual form | 300.2.r.a.59.14 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{3}{10}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.957505 | + | 1.04076i | −0.677059 | + | 0.735929i | ||||
\(3\) | 0.760326 | − | 1.55625i | 0.438974 | − | 0.898500i | ||||
\(4\) | −0.166367 | − | 1.99307i | −0.0831836 | − | 0.996534i | ||||
\(5\) | −1.70605 | − | 1.44547i | −0.762968 | − | 0.646436i | ||||
\(6\) | 0.891666 | + | 2.28143i | 0.364021 | + | 0.931391i | ||||
\(7\) | −1.06519 | −0.402604 | −0.201302 | − | 0.979529i | \(-0.564517\pi\) | ||||
−0.201302 | + | 0.979529i | \(0.564517\pi\) | |||||||
\(8\) | 2.23361 | + | 1.73523i | 0.789699 | + | 0.613495i | ||||
\(9\) | −1.84381 | − | 2.36651i | −0.614603 | − | 0.788836i | ||||
\(10\) | 3.13794 | − | 0.391539i | 0.992305 | − | 0.123816i | ||||
\(11\) | −3.04382 | + | 2.21147i | −0.917748 | + | 0.666783i | −0.942962 | − | 0.332899i | \(-0.891973\pi\) |
0.0252148 | + | 0.999682i | \(0.491973\pi\) | |||||||
\(12\) | −3.22820 | − | 1.25647i | −0.931901 | − | 0.362712i | ||||
\(13\) | 0.659995 | − | 0.908406i | 0.183050 | − | 0.251946i | −0.707624 | − | 0.706589i | \(-0.750233\pi\) |
0.890674 | + | 0.454643i | \(0.150233\pi\) | |||||||
\(14\) | 1.01992 | − | 1.10861i | 0.272586 | − | 0.296288i | ||||
\(15\) | −3.54667 | + | 1.55600i | −0.915746 | + | 0.401758i | ||||
\(16\) | −3.94464 | + | 0.663162i | −0.986161 | + | 0.165791i | ||||
\(17\) | −0.888219 | − | 2.73366i | −0.215425 | − | 0.663010i | −0.999123 | − | 0.0418678i | \(-0.986669\pi\) |
0.783698 | − | 0.621142i | \(-0.213331\pi\) | |||||||
\(18\) | 4.22843 | + | 0.346979i | 0.996650 | + | 0.0817838i | ||||
\(19\) | −4.04621 | + | 1.31469i | −0.928264 | + | 0.301611i | −0.733853 | − | 0.679309i | \(-0.762280\pi\) |
−0.194412 | + | 0.980920i | \(0.562280\pi\) | |||||||
\(20\) | −2.59710 | + | 3.64075i | −0.580729 | + | 0.814097i | ||||
\(21\) | −0.809891 | + | 1.65770i | −0.176733 | + | 0.361739i | ||||
\(22\) | 0.612868 | − | 5.28539i | 0.130664 | − | 1.12685i | ||||
\(23\) | −4.00089 | − | 5.50675i | −0.834243 | − | 1.14824i | −0.987118 | − | 0.159992i | \(-0.948853\pi\) |
0.152875 | − | 0.988246i | \(-0.451147\pi\) | |||||||
\(24\) | 4.39871 | − | 2.15671i | 0.897882 | − | 0.440236i | ||||
\(25\) | 0.821205 | + | 4.93210i | 0.164241 | + | 0.986420i | ||||
\(26\) | 0.313484 | + | 1.55670i | 0.0614793 | + | 0.305294i | ||||
\(27\) | −5.08477 | + | 1.07011i | −0.978564 | + | 0.205942i | ||||
\(28\) | 0.177213 | + | 2.12300i | 0.0334900 | + | 0.401209i | ||||
\(29\) | 2.10841 | + | 0.685063i | 0.391521 | + | 0.127213i | 0.498161 | − | 0.867085i | \(-0.334009\pi\) |
−0.106639 | + | 0.994298i | \(0.534009\pi\) | |||||||
\(30\) | 1.77653 | − | 5.18111i | 0.324348 | − | 0.945938i | ||||
\(31\) | 0.361234 | − | 0.117372i | 0.0648795 | − | 0.0210806i | −0.276397 | − | 0.961043i | \(-0.589141\pi\) |
0.341277 | + | 0.939963i | \(0.389141\pi\) | |||||||
\(32\) | 3.08682 | − | 4.74041i | 0.545679 | − | 0.837995i | ||||
\(33\) | 1.12729 | + | 6.41838i | 0.196237 | + | 1.11730i | ||||
\(34\) | 3.69556 | + | 1.69307i | 0.633783 | + | 0.290359i | ||||
\(35\) | 1.81727 | + | 1.53970i | 0.307174 | + | 0.260258i | ||||
\(36\) | −4.40986 | + | 4.06855i | −0.734977 | + | 0.678092i | ||||
\(37\) | 6.98690 | − | 9.61665i | 1.14864 | − | 1.58097i | 0.402144 | − | 0.915576i | \(-0.368265\pi\) |
0.746496 | − | 0.665390i | \(-0.231735\pi\) | |||||||
\(38\) | 2.50599 | − | 5.46996i | 0.406525 | − | 0.887345i | ||||
\(39\) | −0.911892 | − | 1.71780i | −0.146020 | − | 0.275068i | ||||
\(40\) | −1.30242 | − | 6.18900i | −0.205930 | − | 0.978567i | ||||
\(41\) | 2.81265 | − | 3.87128i | 0.439262 | − | 0.604592i | −0.530786 | − | 0.847506i | \(-0.678103\pi\) |
0.970048 | + | 0.242914i | \(0.0781032\pi\) | |||||||
\(42\) | −0.949793 | − | 2.43016i | −0.146556 | − | 0.374982i | ||||
\(43\) | 9.24777 | 1.41027 | 0.705136 | − | 0.709072i | \(-0.250886\pi\) | ||||
0.705136 | + | 0.709072i | \(0.250886\pi\) | |||||||
\(44\) | 4.91400 | + | 5.69863i | 0.740813 | + | 0.859101i | ||||
\(45\) | −0.275099 | + | 6.70256i | −0.0410093 | + | 0.999159i | ||||
\(46\) | 9.56209 | + | 1.10877i | 1.40985 | + | 0.163480i | ||||
\(47\) | −7.50958 | − | 2.44001i | −1.09539 | − | 0.355912i | −0.295060 | − | 0.955479i | \(-0.595340\pi\) |
−0.800325 | + | 0.599566i | \(0.795340\pi\) | |||||||
\(48\) | −1.96717 | + | 6.64306i | −0.283936 | + | 0.958843i | ||||
\(49\) | −5.86537 | −0.837910 | ||||||||
\(50\) | −5.91945 | − | 3.86784i | −0.837136 | − | 0.546994i | ||||
\(51\) | −4.92958 | − | 0.696181i | −0.690280 | − | 0.0974849i | ||||
\(52\) | −1.92032 | − | 1.16429i | −0.266300 | − | 0.161458i | ||||
\(53\) | 1.84297 | − | 5.67207i | 0.253151 | − | 0.779118i | −0.741037 | − | 0.671464i | \(-0.765666\pi\) |
0.994188 | − | 0.107655i | \(-0.0343341\pi\) | |||||||
\(54\) | 3.75497 | − | 6.31666i | 0.510986 | − | 0.859589i | ||||
\(55\) | 8.38953 | + | 0.626900i | 1.13124 | + | 0.0845311i | ||||
\(56\) | −2.37921 | − | 1.84834i | −0.317936 | − | 0.246995i | ||||
\(57\) | −1.03045 | + | 7.29650i | −0.136486 | + | 0.966445i | ||||
\(58\) | −2.73180 | + | 1.53840i | −0.358703 | + | 0.202001i | ||||
\(59\) | 5.06153 | + | 3.67742i | 0.658956 | + | 0.478759i | 0.866310 | − | 0.499507i | \(-0.166485\pi\) |
−0.207354 | + | 0.978266i | \(0.566485\pi\) | |||||||
\(60\) | 3.69127 | + | 6.80989i | 0.476541 | + | 0.879152i | ||||
\(61\) | 2.73832 | − | 1.98950i | 0.350605 | − | 0.254730i | −0.398518 | − | 0.917161i | \(-0.630475\pi\) |
0.749123 | + | 0.662431i | \(0.230475\pi\) | |||||||
\(62\) | −0.223727 | + | 0.488342i | −0.0284134 | + | 0.0620195i | ||||
\(63\) | 1.96401 | + | 2.52078i | 0.247442 | + | 0.317589i | ||||
\(64\) | 1.97799 | + | 7.75162i | 0.247248 | + | 0.968952i | ||||
\(65\) | −2.43906 | + | 0.595778i | −0.302528 | + | 0.0738971i | ||||
\(66\) | −7.75939 | − | 4.97239i | −0.955115 | − | 0.612059i | ||||
\(67\) | 2.81133 | + | 8.65237i | 0.343458 | + | 1.05706i | 0.962404 | + | 0.271622i | \(0.0875601\pi\) |
−0.618946 | + | 0.785434i | \(0.712440\pi\) | |||||||
\(68\) | −5.30060 | + | 2.22507i | −0.642792 | + | 0.269830i | ||||
\(69\) | −11.6118 | + | 2.03945i | −1.39790 | + | 0.245521i | ||||
\(70\) | −3.34251 | + | 0.417064i | −0.399506 | + | 0.0498486i | ||||
\(71\) | −1.55922 | + | 4.79878i | −0.185045 | + | 0.569511i | −0.999949 | − | 0.0100854i | \(-0.996790\pi\) |
0.814904 | + | 0.579596i | \(0.196790\pi\) | |||||||
\(72\) | −0.0119183 | − | 8.48527i | −0.00140459 | − | 0.999999i | ||||
\(73\) | −0.951706 | − | 1.30991i | −0.111389 | − | 0.153313i | 0.749683 | − | 0.661797i | \(-0.230206\pi\) |
−0.861071 | + | 0.508484i | \(0.830206\pi\) | |||||||
\(74\) | 3.31863 | + | 16.4797i | 0.385783 | + | 1.91572i | ||||
\(75\) | 8.29995 | + | 2.47200i | 0.958396 | + | 0.285443i | ||||
\(76\) | 3.29343 | + | 7.84565i | 0.377782 | + | 0.899958i | ||||
\(77\) | 3.24225 | − | 2.35563i | 0.369489 | − | 0.268449i | ||||
\(78\) | 2.66096 | + | 0.695741i | 0.301295 | + | 0.0787771i | ||||
\(79\) | −13.0050 | − | 4.22558i | −1.46317 | − | 0.475414i | −0.534137 | − | 0.845398i | \(-0.679363\pi\) |
−0.929038 | + | 0.369984i | \(0.879363\pi\) | |||||||
\(80\) | 7.68834 | + | 4.57050i | 0.859582 | + | 0.510997i | ||||
\(81\) | −2.20073 | + | 8.72679i | −0.244525 | + | 0.969643i | ||||
\(82\) | 1.33595 | + | 6.63407i | 0.147531 | + | 0.732610i | ||||
\(83\) | 14.7786 | − | 4.80187i | 1.62217 | − | 0.527074i | 0.649714 | − | 0.760179i | \(-0.274889\pi\) |
0.972452 | + | 0.233105i | \(0.0748886\pi\) | |||||||
\(84\) | 3.43865 | + | 1.33838i | 0.375187 | + | 0.146029i | ||||
\(85\) | −2.43609 | + | 5.94765i | −0.264231 | + | 0.645114i | ||||
\(86\) | −8.85479 | + | 9.62472i | −0.954836 | + | 1.03786i | ||||
\(87\) | 2.66920 | − | 2.76033i | 0.286169 | − | 0.295939i | ||||
\(88\) | −10.6361 | − | 0.342174i | −1.13381 | − | 0.0364759i | ||||
\(89\) | 4.85548 | + | 6.68300i | 0.514680 | + | 0.708396i | 0.984700 | − | 0.174259i | \(-0.0557532\pi\) |
−0.470020 | + | 0.882656i | \(0.655753\pi\) | |||||||
\(90\) | −6.71236 | − | 6.70405i | −0.707544 | − | 0.706669i | ||||
\(91\) | −0.703020 | + | 0.967625i | −0.0736966 | + | 0.101435i | ||||
\(92\) | −10.3097 | + | 8.89019i | −1.07486 | + | 0.926867i | ||||
\(93\) | 0.0919955 | − | 0.651410i | 0.00953948 | − | 0.0675480i | ||||
\(94\) | 9.72993 | − | 5.47936i | 1.00357 | − | 0.565153i | ||||
\(95\) | 8.80339 | + | 3.60576i | 0.903209 | + | 0.369944i | ||||
\(96\) | −5.03026 | − | 8.40812i | −0.513399 | − | 0.858150i | ||||
\(97\) | −11.0204 | − | 3.58074i | −1.11895 | − | 0.363569i | −0.309584 | − | 0.950872i | \(-0.600190\pi\) |
−0.809367 | + | 0.587303i | \(0.800190\pi\) | |||||||
\(98\) | 5.61612 | − | 6.10445i | 0.567314 | − | 0.616643i | ||||
\(99\) | 10.8457 | + | 3.12571i | 1.09003 | + | 0.314146i | ||||
\(100\) | 9.69339 | − | 2.45726i | 0.969339 | − | 0.245726i | ||||
\(101\) | − | 10.1196i | − | 1.00693i | −0.864015 | − | 0.503467i | \(-0.832058\pi\) | ||
0.864015 | − | 0.503467i | \(-0.167942\pi\) | |||||||
\(102\) | 5.44466 | − | 4.46392i | 0.539102 | − | 0.441994i | ||||
\(103\) | 4.28316 | − | 13.1822i | 0.422032 | − | 1.29888i | −0.483776 | − | 0.875192i | \(-0.660735\pi\) |
0.905808 | − | 0.423689i | \(-0.139265\pi\) | |||||||
\(104\) | 3.05046 | − | 0.883779i | 0.299122 | − | 0.0866617i | ||||
\(105\) | 3.77787 | − | 1.65744i | 0.368683 | − | 0.161749i | ||||
\(106\) | 4.13862 | + | 7.34912i | 0.401978 | + | 0.713810i | ||||
\(107\) | 3.63139i | 0.351060i | 0.984474 | + | 0.175530i | \(0.0561638\pi\) | ||||
−0.984474 | + | 0.175530i | \(0.943836\pi\) | |||||||
\(108\) | 2.97873 | + | 9.95626i | 0.286629 | + | 0.958042i | ||||
\(109\) | 8.30940 | + | 6.03713i | 0.795896 | + | 0.578252i | 0.909707 | − | 0.415250i | \(-0.136306\pi\) |
−0.113811 | + | 0.993502i | \(0.536306\pi\) | |||||||
\(110\) | −8.68548 | + | 8.13124i | −0.828128 | + | 0.775283i | ||||
\(111\) | −9.65356 | − | 18.1851i | −0.916275 | − | 1.72606i | ||||
\(112\) | 4.20179 | − | 0.706393i | 0.397032 | − | 0.0667479i | ||||
\(113\) | −7.25641 | − | 5.27209i | −0.682625 | − | 0.495956i | 0.191602 | − | 0.981473i | \(-0.438632\pi\) |
−0.874228 | + | 0.485516i | \(0.838632\pi\) | |||||||
\(114\) | −6.60725 | − | 8.05889i | −0.618826 | − | 0.754784i | ||||
\(115\) | −1.13416 | + | 15.1780i | −0.105761 | + | 1.41535i | ||||
\(116\) | 1.01461 | − | 4.31617i | 0.0942039 | − | 0.400746i | ||||
\(117\) | −3.36666 | + | 0.113043i | −0.311248 | + | 0.0104508i | ||||
\(118\) | −8.67376 | + | 1.74670i | −0.798484 | + | 0.160797i | ||||
\(119\) | 0.946122 | + | 2.91186i | 0.0867309 | + | 0.266930i | ||||
\(120\) | −10.6219 | − | 2.67877i | −0.969640 | − | 0.244538i | ||||
\(121\) | 0.975089 | − | 3.00102i | 0.0886445 | − | 0.272820i | ||||
\(122\) | −0.551355 | + | 4.75489i | −0.0499173 | + | 0.430488i | ||||
\(123\) | −3.88614 | − | 7.32061i | −0.350401 | − | 0.660077i | ||||
\(124\) | −0.294028 | − | 0.700437i | −0.0264045 | − | 0.0629011i | ||||
\(125\) | 5.72821 | − | 9.60144i | 0.512347 | − | 0.858779i | ||||
\(126\) | −4.50408 | − | 0.369599i | −0.401255 | − | 0.0329265i | ||||
\(127\) | −7.53088 | + | 5.47151i | −0.668258 | + | 0.485518i | −0.869442 | − | 0.494036i | \(-0.835521\pi\) |
0.201184 | + | 0.979554i | \(0.435521\pi\) | |||||||
\(128\) | −9.96151 | − | 5.36360i | −0.880482 | − | 0.474080i | ||||
\(129\) | 7.03131 | − | 14.3918i | 0.619073 | − | 1.26713i | ||||
\(130\) | 1.71535 | − | 3.10894i | 0.150446 | − | 0.272672i | ||||
\(131\) | −2.27835 | − | 7.01204i | −0.199060 | − | 0.612645i | −0.999905 | − | 0.0137729i | \(-0.995616\pi\) |
0.800845 | − | 0.598872i | \(-0.204384\pi\) | |||||||
\(132\) | 12.6047 | − | 3.31458i | 1.09710 | − | 0.288497i | ||||
\(133\) | 4.30998 | − | 1.40040i | 0.373723 | − | 0.121430i | ||||
\(134\) | −11.6969 | − | 5.35878i | −1.01046 | − | 0.462928i | ||||
\(135\) | 10.2217 | + | 5.52425i | 0.879742 | + | 0.475452i | ||||
\(136\) | 2.75958 | − | 7.64717i | 0.236632 | − | 0.655740i | ||||
\(137\) | 6.81997 | + | 4.95500i | 0.582669 | + | 0.423334i | 0.839685 | − | 0.543073i | \(-0.182739\pi\) |
−0.257016 | + | 0.966407i | \(0.582739\pi\) | |||||||
\(138\) | 8.99583 | − | 14.0379i | 0.765776 | − | 1.19499i | ||||
\(139\) | −2.56193 | − | 3.52620i | −0.217300 | − | 0.299088i | 0.686425 | − | 0.727200i | \(-0.259179\pi\) |
−0.903726 | + | 0.428112i | \(0.859179\pi\) | |||||||
\(140\) | 2.76640 | − | 3.87809i | 0.233804 | − | 0.327759i | ||||
\(141\) | −9.50699 | + | 9.83156i | −0.800633 | + | 0.827967i | ||||
\(142\) | −3.50143 | − | 6.21763i | −0.293833 | − | 0.521772i | ||||
\(143\) | 4.22459i | 0.353278i | ||||||||
\(144\) | 8.84255 | + | 8.11229i | 0.736879 | + | 0.676024i | ||||
\(145\) | −2.60680 | − | 4.21640i | −0.216483 | − | 0.350153i | ||||
\(146\) | 2.27457 | + | 0.263748i | 0.188245 | + | 0.0218280i | ||||
\(147\) | −4.45959 | + | 9.12797i | −0.367821 | + | 0.752862i | ||||
\(148\) | −20.3290 | − | 12.3255i | −1.67104 | − | 1.01315i | ||||
\(149\) | 0.371677i | 0.0304490i | 0.999884 | + | 0.0152245i | \(0.00484629\pi\) | ||||
−0.999884 | + | 0.0152245i | \(0.995154\pi\) | |||||||
\(150\) | −10.5200 | + | 6.27131i | −0.858956 | + | 0.512050i | ||||
\(151\) | − | 21.6111i | − | 1.75868i | −0.476192 | − | 0.879341i | \(-0.657983\pi\) | ||
0.476192 | − | 0.879341i | \(-0.342017\pi\) | |||||||
\(152\) | −11.3189 | − | 4.08458i | −0.918086 | − | 0.331303i | ||||
\(153\) | −4.83152 | + | 7.14233i | −0.390605 | + | 0.577423i | ||||
\(154\) | −0.652821 | + | 5.62994i | −0.0526058 | + | 0.453673i | ||||
\(155\) | −0.785940 | − | 0.321912i | −0.0631283 | − | 0.0258566i | ||||
\(156\) | −3.27198 | + | 2.10325i | −0.261968 | + | 0.168395i | ||||
\(157\) | 3.80885i | 0.303980i | 0.988382 | + | 0.151990i | \(0.0485681\pi\) | ||||
−0.988382 | + | 0.151990i | \(0.951432\pi\) | |||||||
\(158\) | 16.8502 | − | 9.48907i | 1.34053 | − | 0.754910i | ||||
\(159\) | −7.42588 | − | 7.18073i | −0.588911 | − | 0.569469i | ||||
\(160\) | −12.1184 | + | 3.62545i | −0.958045 | + | 0.286617i | ||||
\(161\) | 4.26171 | + | 5.86574i | 0.335870 | + | 0.462285i | ||||
\(162\) | −6.97529 | − | 10.6464i | −0.548031 | − | 0.836458i | ||||
\(163\) | −7.51643 | − | 5.46100i | −0.588732 | − | 0.427739i | 0.253130 | − | 0.967432i | \(-0.418540\pi\) |
−0.841862 | + | 0.539694i | \(0.818540\pi\) | |||||||
\(164\) | −8.18366 | − | 4.96175i | −0.639036 | − | 0.387448i | ||||
\(165\) | 7.35439 | − | 12.5795i | 0.572538 | − | 0.979316i | ||||
\(166\) | −9.15302 | + | 19.9788i | −0.710412 | + | 1.55066i | ||||
\(167\) | 18.1592 | − | 5.90028i | 1.40520 | − | 0.456578i | 0.494332 | − | 0.869273i | \(-0.335413\pi\) |
0.910869 | + | 0.412696i | \(0.135413\pi\) | |||||||
\(168\) | −4.68546 | + | 2.29730i | −0.361491 | + | 0.177241i | ||||
\(169\) | 3.62761 | + | 11.1646i | 0.279047 | + | 0.858819i | ||||
\(170\) | −3.85752 | − | 8.23030i | −0.295858 | − | 0.631235i | ||||
\(171\) | 10.5717 | + | 7.15135i | 0.808436 | + | 0.546877i | ||||
\(172\) | −1.53852 | − | 18.4314i | −0.117311 | − | 1.40538i | ||||
\(173\) | 9.69853 | − | 7.04639i | 0.737365 | − | 0.535727i | −0.154520 | − | 0.987990i | \(-0.549383\pi\) |
0.891885 | + | 0.452263i | \(0.149383\pi\) | |||||||
\(174\) | 0.317069 | + | 5.42103i | 0.0240370 | + | 0.410967i | ||||
\(175\) | −0.874739 | − | 5.25362i | −0.0661241 | − | 0.397137i | ||||
\(176\) | 10.5402 | − | 10.7420i | 0.794501 | − | 0.809709i | ||||
\(177\) | 9.57139 | − | 5.08096i | 0.719430 | − | 0.381908i | ||||
\(178\) | −11.6046 | − | 1.34561i | −0.869798 | − | 0.100858i | ||||
\(179\) | 0.944989 | − | 2.90838i | 0.0706318 | − | 0.217382i | −0.909509 | − | 0.415684i | \(-0.863542\pi\) |
0.980141 | + | 0.198301i | \(0.0635424\pi\) | |||||||
\(180\) | 13.4044 | − | 0.566794i | 0.999107 | − | 0.0422464i | ||||
\(181\) | −2.51625 | − | 7.74423i | −0.187032 | − | 0.575624i | 0.812946 | − | 0.582339i | \(-0.197862\pi\) |
−0.999977 | + | 0.00671533i | \(0.997862\pi\) | |||||||
\(182\) | −0.333920 | − | 1.65818i | −0.0247518 | − | 0.122913i | ||||
\(183\) | −1.01415 | − | 5.77417i | −0.0749679 | − | 0.426839i | ||||
\(184\) | 0.619047 | − | 19.2424i | 0.0456367 | − | 1.41857i | ||||
\(185\) | −25.8206 | + | 6.30708i | −1.89837 | + | 0.463705i | ||||
\(186\) | 0.589876 | + | 0.719474i | 0.0432518 | + | 0.0527544i | ||||
\(187\) | 8.74898 | + | 6.35651i | 0.639789 | + | 0.464834i | ||||
\(188\) | −3.61376 | + | 15.3731i | −0.263561 | + | 1.12119i | ||||
\(189\) | 5.41624 | − | 1.13987i | 0.393974 | − | 0.0829131i | ||||
\(190\) | −12.1820 | + | 5.70969i | −0.883777 | + | 0.414224i | ||||
\(191\) | 14.4015 | + | 10.4633i | 1.04205 | + | 0.757096i | 0.970685 | − | 0.240354i | \(-0.0772635\pi\) |
0.0713681 | + | 0.997450i | \(0.477264\pi\) | |||||||
\(192\) | 13.5673 | + | 2.81552i | 0.979139 | + | 0.203192i | ||||
\(193\) | 13.9013i | 1.00064i | 0.865841 | + | 0.500318i | \(0.166784\pi\) | ||||
−0.865841 | + | 0.500318i | \(0.833216\pi\) | |||||||
\(194\) | 14.2788 | − | 8.04101i | 1.02516 | − | 0.577311i | ||||
\(195\) | −0.927304 | + | 4.24877i | −0.0664056 | + | 0.304261i | ||||
\(196\) | 0.975805 | + | 11.6901i | 0.0697003 | + | 0.835006i | ||||
\(197\) | −6.96834 | + | 21.4464i | −0.496474 | + | 1.52799i | 0.318173 | + | 0.948033i | \(0.396931\pi\) |
−0.814647 | + | 0.579957i | \(0.803069\pi\) | |||||||
\(198\) | −13.6379 | + | 8.29489i | −0.969205 | + | 0.589492i | ||||
\(199\) | − | 2.15680i | − | 0.152892i | −0.997074 | − | 0.0764458i | \(-0.975643\pi\) | ||
0.997074 | − | 0.0764458i | \(-0.0243572\pi\) | |||||||
\(200\) | −6.72406 | + | 12.4413i | −0.475463 | + | 0.879736i | ||||
\(201\) | 15.6028 | + | 2.20350i | 1.10053 | + | 0.155423i | ||||
\(202\) | 10.5320 | + | 9.68953i | 0.741032 | + | 0.681753i | ||||
\(203\) | −2.24585 | − | 0.729722i | −0.157628 | − | 0.0512164i | ||||
\(204\) | −0.567416 | + | 9.94082i | −0.0397271 | + | 0.695997i | ||||
\(205\) | −10.3944 | + | 2.53898i | −0.725973 | + | 0.177330i | ||||
\(206\) | 9.61837 | + | 17.0798i | 0.670144 | + | 1.19000i | ||||
\(207\) | −5.65490 | + | 19.6215i | −0.393043 | + | 1.36379i | ||||
\(208\) | −2.00103 | + | 4.02102i | −0.138746 | + | 0.278808i | ||||
\(209\) | 9.40855 | − | 12.9498i | 0.650803 | − | 0.895754i | ||||
\(210\) | −1.89234 | + | 5.51887i | −0.130584 | + | 0.380838i | ||||
\(211\) | −9.99024 | − | 13.7504i | −0.687756 | − | 0.946615i | 0.312238 | − | 0.950004i | \(-0.398921\pi\) |
−0.999994 | + | 0.00338856i | \(0.998921\pi\) | |||||||
\(212\) | −11.6114 | − | 2.72951i | −0.797476 | − | 0.187464i | ||||
\(213\) | 6.28258 | + | 6.07517i | 0.430475 | + | 0.416264i | ||||
\(214\) | −3.77941 | − | 3.47707i | −0.258355 | − | 0.237688i | ||||
\(215\) | −15.7771 | − | 13.3674i | −1.07599 | − | 0.911650i | ||||
\(216\) | −13.2142 | − | 6.43302i | −0.899115 | − | 0.437712i | ||||
\(217\) | −0.384782 | + | 0.125023i | −0.0261207 | + | 0.00848714i | ||||
\(218\) | −14.2395 | + | 2.86751i | −0.964421 | + | 0.194212i | ||||
\(219\) | −2.76215 | + | 0.485131i | −0.186649 | + | 0.0327821i | ||||
\(220\) | −0.146289 | − | 16.8252i | −0.00986279 | − | 1.13436i | ||||
\(221\) | −3.06949 | − | 0.997338i | −0.206476 | − | 0.0670882i | ||||
\(222\) | 28.1697 | + | 7.36531i | 1.89063 | + | 0.494327i | ||||
\(223\) | −1.28119 | + | 0.930840i | −0.0857949 | + | 0.0623336i | −0.629856 | − | 0.776712i | \(-0.716886\pi\) |
0.544061 | + | 0.839046i | \(0.316886\pi\) | |||||||
\(224\) | −3.28805 | + | 5.04944i | −0.219692 | + | 0.337380i | ||||
\(225\) | 10.1577 | − | 11.0372i | 0.677181 | − | 0.735816i | ||||
\(226\) | 12.4350 | − | 2.50413i | 0.827166 | − | 0.166572i | ||||
\(227\) | −2.98415 | − | 4.10733i | −0.198065 | − | 0.272613i | 0.698419 | − | 0.715689i | \(-0.253887\pi\) |
−0.896484 | + | 0.443076i | \(0.853887\pi\) | |||||||
\(228\) | 14.7139 | + | 0.839859i | 0.974449 | + | 0.0556210i | ||||
\(229\) | −4.27109 | + | 13.1451i | −0.282242 | + | 0.868650i | 0.704970 | + | 0.709237i | \(0.250960\pi\) |
−0.987212 | + | 0.159414i | \(0.949040\pi\) | |||||||
\(230\) | −14.7107 | − | 15.7134i | −0.969994 | − | 1.03611i | ||||
\(231\) | −1.20078 | − | 6.83679i | −0.0790056 | − | 0.449828i | ||||
\(232\) | 3.52061 | + | 5.18872i | 0.231139 | + | 0.340656i | ||||
\(233\) | 2.07923 | + | 6.39921i | 0.136215 | + | 0.419226i | 0.995777 | − | 0.0918049i | \(-0.0292636\pi\) |
−0.859562 | + | 0.511031i | \(0.829264\pi\) | |||||||
\(234\) | 3.10594 | − | 3.61212i | 0.203042 | − | 0.236132i | ||||
\(235\) | 9.28474 | + | 15.0177i | 0.605670 | + | 0.979646i | ||||
\(236\) | 6.48728 | − | 10.6998i | 0.422286 | − | 0.696497i | ||||
\(237\) | −16.4641 | + | 17.0262i | −1.06946 | + | 1.10597i | ||||
\(238\) | −3.93647 | − | 1.80344i | −0.255164 | − | 0.116900i | ||||
\(239\) | −11.6229 | + | 8.44456i | −0.751825 | + | 0.546233i | −0.896392 | − | 0.443262i | \(-0.853821\pi\) |
0.144567 | + | 0.989495i | \(0.453821\pi\) | |||||||
\(240\) | 12.9585 | − | 8.48989i | 0.836465 | − | 0.548020i | ||||
\(241\) | −19.7088 | − | 14.3193i | −1.26955 | − | 0.922385i | −0.270369 | − | 0.962757i | \(-0.587146\pi\) |
−0.999185 | + | 0.0403719i | \(0.987146\pi\) | |||||||
\(242\) | 2.18969 | + | 3.88832i | 0.140758 | + | 0.249951i | ||||
\(243\) | 11.9078 | + | 10.0601i | 0.763884 | + | 0.645354i | ||||
\(244\) | −4.42078 | − | 5.12666i | −0.283012 | − | 0.328201i | ||||
\(245\) | 10.0066 | + | 8.47825i | 0.639299 | + | 0.541655i | ||||
\(246\) | 11.3400 | + | 2.96498i | 0.723012 | + | 0.189040i | ||||
\(247\) | −1.47621 | + | 4.54329i | −0.0939287 | + | 0.289083i | ||||
\(248\) | 1.01052 | + | 0.364659i | 0.0641681 | + | 0.0231559i | ||||
\(249\) | 3.76368 | − | 26.6502i | 0.238513 | − | 1.68889i | ||||
\(250\) | 4.50801 | + | 15.1551i | 0.285111 | + | 0.958494i | ||||
\(251\) | −14.4153 | −0.909884 | −0.454942 | − | 0.890521i | \(-0.650340\pi\) | ||||
−0.454942 | + | 0.890521i | \(0.650340\pi\) | |||||||
\(252\) | 4.69734 | − | 4.33378i | 0.295905 | − | 0.273002i | ||||
\(253\) | 24.3560 | + | 7.91375i | 1.53125 | + | 0.497533i | ||||
\(254\) | 1.51633 | − | 13.0768i | 0.0951430 | − | 0.820514i | ||||
\(255\) | 7.40380 | + | 8.31331i | 0.463644 | + | 0.520600i | ||||
\(256\) | 15.1204 | − | 5.23188i | 0.945027 | − | 0.326992i | ||||
\(257\) | −26.6349 | −1.66144 | −0.830718 | − | 0.556693i | \(-0.812070\pi\) | ||||
−0.830718 | + | 0.556693i | \(0.812070\pi\) | |||||||
\(258\) | 8.24592 | + | 21.0982i | 0.513368 | + | 1.31351i | ||||
\(259\) | −7.44238 | + | 10.2436i | −0.462447 | + | 0.636503i | ||||
\(260\) | 1.59321 | + | 4.76210i | 0.0988064 | + | 0.295333i | ||||
\(261\) | −2.26629 | − | 6.25269i | −0.140280 | − | 0.387032i | ||||
\(262\) | 9.47939 | + | 4.34285i | 0.585639 | + | 0.268302i | ||||
\(263\) | −8.91474 | + | 12.2701i | −0.549707 | + | 0.756606i | −0.989972 | − | 0.141261i | \(-0.954884\pi\) |
0.440266 | + | 0.897867i | \(0.354884\pi\) | |||||||
\(264\) | −8.61940 | + | 16.2922i | −0.530488 | + | 1.00272i | ||||
\(265\) | −11.3430 | + | 7.01286i | −0.696796 | + | 0.430797i | ||||
\(266\) | −2.66935 | + | 5.82655i | −0.163668 | + | 0.357249i | ||||
\(267\) | 14.0921 | − | 2.47508i | 0.862425 | − | 0.151472i | ||||
\(268\) | 16.7771 | − | 7.04264i | 1.02482 | − | 0.430198i | ||||
\(269\) | −15.2945 | + | 4.96949i | −0.932523 | + | 0.302995i | −0.735594 | − | 0.677423i | \(-0.763097\pi\) |
−0.196929 | + | 0.980418i | \(0.563097\pi\) | |||||||
\(270\) | −15.5367 | + | 5.34882i | −0.945535 | + | 0.325519i | ||||
\(271\) | 13.2406 | + | 4.30213i | 0.804308 | + | 0.261336i | 0.682185 | − | 0.731179i | \(-0.261030\pi\) |
0.122123 | + | 0.992515i | \(0.461030\pi\) | |||||||
\(272\) | 5.31657 | + | 10.1943i | 0.322364 | + | 0.618119i | ||||
\(273\) | 0.971339 | + | 1.82978i | 0.0587881 | + | 0.110744i | ||||
\(274\) | −11.6871 | + | 2.35352i | −0.706045 | + | 0.142181i | ||||
\(275\) | −13.4068 | − | 13.1964i | −0.808460 | − | 0.795772i | ||||
\(276\) | 5.99659 | + | 22.8039i | 0.360952 | + | 1.37263i | ||||
\(277\) | −9.08309 | − | 12.5018i | −0.545750 | − | 0.751161i | 0.443678 | − | 0.896186i | \(-0.353673\pi\) |
−0.989428 | + | 0.145026i | \(0.953673\pi\) | |||||||
\(278\) | 6.12300 | + | 0.709994i | 0.367233 | + | 0.0425826i | ||||
\(279\) | −0.943808 | − | 0.638451i | −0.0565043 | − | 0.0382231i | ||||
\(280\) | 1.38732 | + | 6.59246i | 0.0829082 | + | 0.393975i | ||||
\(281\) | 22.8613 | − | 7.42807i | 1.36379 | − | 0.443122i | 0.466482 | − | 0.884530i | \(-0.345521\pi\) |
0.897306 | + | 0.441409i | \(0.145521\pi\) | |||||||
\(282\) | −1.12932 | − | 19.3083i | −0.0672498 | − | 1.14979i | ||||
\(283\) | 7.43523 | + | 22.8833i | 0.441978 | + | 1.36027i | 0.885764 | + | 0.464137i | \(0.153635\pi\) |
−0.443785 | + | 0.896133i | \(0.646365\pi\) | |||||||
\(284\) | 9.82371 | + | 2.30927i | 0.582930 | + | 0.137030i | ||||
\(285\) | 12.3049 | − | 10.9587i | 0.728880 | − | 0.649137i | ||||
\(286\) | −4.39678 | − | 4.04506i | −0.259987 | − | 0.239190i | ||||
\(287\) | −2.99601 | + | 4.12365i | −0.176849 | + | 0.243411i | ||||
\(288\) | −16.9097 | + | 1.43542i | −0.996416 | + | 0.0845832i | ||||
\(289\) | 7.06934 | − | 5.13617i | 0.415843 | − | 0.302128i | ||||
\(290\) | 6.88429 | + | 1.32417i | 0.404260 | + | 0.0777577i | ||||
\(291\) | −13.9516 | + | 14.4279i | −0.817857 | + | 0.845780i | ||||
\(292\) | −2.45241 | + | 2.11474i | −0.143516 | + | 0.123756i | ||||
\(293\) | −10.1696 | −0.594114 | −0.297057 | − | 0.954860i | \(-0.596005\pi\) | ||||
−0.297057 | + | 0.954860i | \(0.596005\pi\) | |||||||
\(294\) | −5.22995 | − | 13.3814i | −0.305017 | − | 0.780422i | ||||
\(295\) | −3.31961 | − | 13.5902i | −0.193275 | − | 0.791251i | ||||
\(296\) | 32.2930 | − | 9.35594i | 1.87699 | − | 0.543803i | ||||
\(297\) | 13.1106 | − | 14.5020i | 0.760756 | − | 0.841493i | ||||
\(298\) | −0.386827 | − | 0.355883i | −0.0224083 | − | 0.0206157i | ||||
\(299\) | −7.64294 | −0.442002 | ||||||||
\(300\) | 3.54604 | − | 16.9536i | 0.204730 | − | 0.978818i | ||||
\(301\) | −9.85063 | −0.567781 | ||||||||
\(302\) | 22.4919 | + | 20.6927i | 1.29427 | + | 1.19073i | ||||
\(303\) | −15.7485 | − | 7.69416i | −0.904729 | − | 0.442018i | ||||
\(304\) | 15.0890 | − | 7.86929i | 0.865414 | − | 0.451335i | ||||
\(305\) | −7.54748 | − | 0.563978i | −0.432167 | − | 0.0322933i | ||||
\(306\) | −2.80725 | − | 11.8673i | −0.160480 | − | 0.678407i | ||||
\(307\) | 3.03270 | 0.173086 | 0.0865428 | − | 0.996248i | \(-0.472418\pi\) | ||||
0.0865428 | + | 0.996248i | \(0.472418\pi\) | |||||||
\(308\) | −5.23434 | − | 6.07013i | −0.298254 | − | 0.345878i | ||||
\(309\) | −17.2582 | − | 16.6884i | −0.981783 | − | 0.949371i | ||||
\(310\) | 1.08758 | − | 0.509744i | 0.0617701 | − | 0.0289515i | ||||
\(311\) | 22.9523 | − | 16.6759i | 1.30151 | − | 0.945601i | 0.301539 | − | 0.953454i | \(-0.402500\pi\) |
0.999969 | + | 0.00785286i | \(0.00249967\pi\) | |||||||
\(312\) | 0.943962 | − | 5.41923i | 0.0534413 | − | 0.306803i | ||||
\(313\) | 0.692098 | − | 0.952591i | 0.0391197 | − | 0.0538436i | −0.789009 | − | 0.614382i | \(-0.789406\pi\) |
0.828129 | + | 0.560538i | \(0.189406\pi\) | |||||||
\(314\) | −3.96411 | − | 3.64700i | −0.223707 | − | 0.205812i | ||||
\(315\) | 0.293033 | − | 7.13950i | 0.0165105 | − | 0.402265i | ||||
\(316\) | −6.25826 | + | 26.6228i | −0.352055 | + | 1.49765i | ||||
\(317\) | 0.153474 | + | 0.472345i | 0.00861997 | + | 0.0265295i | 0.955274 | − | 0.295722i | \(-0.0955603\pi\) |
−0.946654 | + | 0.322252i | \(0.895560\pi\) | |||||||
\(318\) | 14.5837 | − | 0.852985i | 0.817816 | − | 0.0478330i | ||||
\(319\) | −7.93261 | + | 2.57746i | −0.444141 | + | 0.144310i | ||||
\(320\) | 7.83023 | − | 16.0838i | 0.437723 | − | 0.899110i | ||||
\(321\) | 5.65134 | + | 2.76104i | 0.315427 | + | 0.154106i | ||||
\(322\) | −10.1854 | − | 1.18106i | −0.567612 | − | 0.0658176i | ||||
\(323\) | 7.18785 | + | 9.89322i | 0.399942 | + | 0.550474i | ||||
\(324\) | 17.7592 | + | 2.93435i | 0.986623 | + | 0.163020i | ||||
\(325\) | 5.02234 | + | 2.50918i | 0.278589 | + | 0.139184i | ||||
\(326\) | 12.8806 | − | 2.59386i | 0.713392 | − | 0.143661i | ||||
\(327\) | 15.7131 | − | 8.34129i | 0.868937 | − | 0.461275i | ||||
\(328\) | 12.9999 | − | 3.76633i | 0.717799 | − | 0.207961i | ||||
\(329\) | 7.99913 | + | 2.59908i | 0.441006 | + | 0.143292i | ||||
\(330\) | 6.05043 | + | 19.6991i | 0.333065 | + | 1.08440i | ||||
\(331\) | 5.77818 | − | 1.87744i | 0.317597 | − | 0.103194i | −0.145880 | − | 0.989302i | \(-0.546601\pi\) |
0.463478 | + | 0.886109i | \(0.346601\pi\) | |||||||
\(332\) | −12.0291 | − | 28.6560i | −0.660184 | − | 1.57270i | ||||
\(333\) | −35.6404 | + | 1.19670i | −1.95308 | + | 0.0655789i | ||||
\(334\) | −11.2467 | + | 24.5489i | −0.615395 | + | 1.34326i | ||||
\(335\) | 7.71053 | − | 18.8251i | 0.421271 | − | 1.02852i | ||||
\(336\) | 2.09541 | − | 7.07612i | 0.114314 | − | 0.386034i | ||||
\(337\) | 5.19448 | − | 7.14958i | 0.282961 | − | 0.389463i | −0.643751 | − | 0.765235i | \(-0.722623\pi\) |
0.926712 | + | 0.375773i | \(0.122623\pi\) | |||||||
\(338\) | −15.0932 | − | 6.91473i | −0.820961 | − | 0.376112i | ||||
\(339\) | −13.7219 | + | 7.28426i | −0.745272 | + | 0.395627i | ||||
\(340\) | 12.2594 | + | 3.86580i | 0.664857 | + | 0.209652i | ||||
\(341\) | −0.839968 | + | 1.15612i | −0.0454868 | + | 0.0626072i | ||||
\(342\) | −17.5653 | + | 4.15514i | −0.949822 | + | 0.224684i | ||||
\(343\) | 13.7041 | 0.739950 | ||||||||
\(344\) | 20.6559 | + | 16.0470i | 1.11369 | + | 0.865194i | ||||
\(345\) | 22.7584 | + | 13.3052i | 1.22527 | + | 0.716330i | ||||
\(346\) | −1.95278 | + | 16.8408i | −0.104982 | + | 0.905367i | ||||
\(347\) | −29.8214 | − | 9.68958i | −1.60090 | − | 0.520164i | −0.633570 | − | 0.773686i | \(-0.718411\pi\) |
−0.967330 | + | 0.253522i | \(0.918411\pi\) | |||||||
\(348\) | −5.94560 | − | 4.86067i | −0.318717 | − | 0.260560i | ||||
\(349\) | 10.4112 | 0.557300 | 0.278650 | − | 0.960393i | \(-0.410113\pi\) | ||||
0.278650 | + | 0.960393i | \(0.410113\pi\) | |||||||
\(350\) | 6.30533 | + | 4.11998i | 0.337034 | + | 0.220222i | ||||
\(351\) | −2.38383 | + | 5.32530i | −0.127240 | + | 0.284243i | ||||
\(352\) | 1.08752 | + | 21.2554i | 0.0579650 | + | 1.13292i | ||||
\(353\) | 2.86998 | − | 8.83290i | 0.152754 | − | 0.470128i | −0.845173 | − | 0.534494i | \(-0.820502\pi\) |
0.997926 | + | 0.0643656i | \(0.0205024\pi\) | |||||||
\(354\) | −3.87659 | + | 14.8266i | −0.206038 | + | 0.788024i | ||||
\(355\) | 9.59662 | − | 5.93315i | 0.509336 | − | 0.314899i | ||||
\(356\) | 12.5119 | − | 10.7891i | 0.663128 | − | 0.571823i | ||||
\(357\) | 5.25094 | + | 0.741565i | 0.277909 | + | 0.0392478i | ||||
\(358\) | 2.12209 | + | 3.76829i | 0.112156 | + | 0.199161i | ||||
\(359\) | −20.5019 | − | 14.8955i | −1.08205 | − | 0.786155i | −0.104010 | − | 0.994576i | \(-0.533167\pi\) |
−0.978039 | + | 0.208422i | \(0.933167\pi\) | |||||||
\(360\) | −12.2449 | + | 14.4935i | −0.645364 | + | 0.763875i | ||||
\(361\) | −0.727921 | + | 0.528866i | −0.0383116 | + | 0.0278350i | ||||
\(362\) | 10.4692 | + | 4.79632i | 0.550250 | + | 0.252089i | ||||
\(363\) | −3.92894 | − | 3.79923i | −0.206216 | − | 0.199408i | ||||
\(364\) | 2.04550 | + | 1.24019i | 0.107213 | + | 0.0650035i | ||||
\(365\) | −0.269786 | + | 3.61044i | −0.0141213 | + | 0.188979i | ||||
\(366\) | 6.98058 | + | 4.47331i | 0.364881 | + | 0.233824i | ||||
\(367\) | −7.51829 | − | 23.1389i | −0.392451 | − | 1.20784i | −0.930929 | − | 0.365201i | \(-0.881000\pi\) |
0.538477 | − | 0.842640i | \(-0.319000\pi\) | |||||||
\(368\) | 19.4340 | + | 19.0689i | 1.01307 | + | 0.994037i | ||||
\(369\) | −14.3474 | + | 0.481745i | −0.746896 | + | 0.0250786i | ||||
\(370\) | 18.1592 | − | 32.9121i | 0.944053 | − | 1.71102i | ||||
\(371\) | −1.96311 | + | 6.04183i | −0.101920 | + | 0.313676i | ||||
\(372\) | −1.31361 | − | 0.0749801i | −0.0681075 | − | 0.00388754i | ||||
\(373\) | −5.54884 | − | 7.63732i | −0.287308 | − | 0.395445i | 0.640830 | − | 0.767683i | \(-0.278591\pi\) |
−0.928137 | + | 0.372238i | \(0.878591\pi\) | |||||||
\(374\) | −14.9928 | + | 3.01921i | −0.775259 | + | 0.156120i | ||||
\(375\) | −10.5869 | − | 16.2147i | −0.546705 | − | 0.837325i | ||||
\(376\) | −12.5395 | − | 18.4808i | −0.646674 | − | 0.953077i | ||||
\(377\) | 2.01385 | − | 1.46315i | 0.103719 | − | 0.0753561i | ||||
\(378\) | −3.99975 | + | 6.72844i | −0.205725 | + | 0.346074i | ||||
\(379\) | 16.2370 | + | 5.27573i | 0.834040 | + | 0.270996i | 0.694746 | − | 0.719255i | \(-0.255517\pi\) |
0.139294 | + | 0.990251i | \(0.455517\pi\) | |||||||
\(380\) | 5.72194 | − | 18.1456i | 0.293529 | − | 0.930852i | ||||
\(381\) | 2.78909 | + | 15.8800i | 0.142890 | + | 0.813559i | ||||
\(382\) | −24.6792 | + | 4.96984i | −1.26270 | + | 0.254279i | ||||
\(383\) | −26.1325 | + | 8.49096i | −1.33531 | + | 0.433868i | −0.887725 | − | 0.460374i | \(-0.847715\pi\) |
−0.447583 | + | 0.894242i | \(0.647715\pi\) | |||||||
\(384\) | −15.9211 | + | 11.4245i | −0.812470 | + | 0.583004i | ||||
\(385\) | −8.93645 | − | 0.667767i | −0.455443 | − | 0.0340326i | ||||
\(386\) | −14.4679 | − | 13.3106i | −0.736398 | − | 0.677490i | ||||
\(387\) | −17.0511 | − | 21.8849i | −0.866758 | − | 1.11247i | ||||
\(388\) | −5.30323 | + | 22.5601i | −0.269231 | + | 1.14532i | ||||
\(389\) | 3.37798 | + | 4.64939i | 0.171270 | + | 0.235733i | 0.886020 | − | 0.463647i | \(-0.153459\pi\) |
−0.714750 | + | 0.699380i | \(0.753459\pi\) | |||||||
\(390\) | −3.53405 | − | 5.03332i | −0.178954 | − | 0.254872i | ||||
\(391\) | −11.4999 | + | 15.8283i | −0.581576 | + | 0.800470i | ||||
\(392\) | −13.1009 | − | 10.1777i | −0.661697 | − | 0.514053i | ||||
\(393\) | −12.6448 | − | 1.78576i | −0.637844 | − | 0.0900796i | ||||
\(394\) | −15.6483 | − | 27.7874i | −0.788350 | − | 1.39991i | ||||
\(395\) | 16.0792 | + | 26.0074i | 0.809031 | + | 1.30857i | ||||
\(396\) | 4.42539 | − | 22.1362i | 0.222384 | − | 1.11239i | ||||
\(397\) | 24.7422 | + | 8.03924i | 1.24178 | + | 0.403478i | 0.854967 | − | 0.518682i | \(-0.173577\pi\) |
0.386809 | + | 0.922160i | \(0.373577\pi\) | |||||||
\(398\) | 2.24471 | + | 2.06515i | 0.112517 | + | 0.103517i | ||||
\(399\) | 1.09762 | − | 7.77216i | 0.0549499 | − | 0.389094i | ||||
\(400\) | −6.51014 | − | 18.9108i | −0.325507 | − | 0.945540i | ||||
\(401\) | 34.6984i | 1.73275i | 0.499391 | + | 0.866376i | \(0.333557\pi\) | ||||
−0.499391 | + | 0.866376i | \(0.666443\pi\) | |||||||
\(402\) | −17.2330 | + | 14.1289i | −0.859506 | + | 0.704684i | ||||
\(403\) | 0.131791 | − | 0.405612i | 0.00656499 | − | 0.0202050i | ||||
\(404\) | −20.1690 | + | 1.68356i | −1.00344 | + | 0.0837603i | ||||
\(405\) | 16.3689 | − | 11.7072i | 0.813377 | − | 0.581737i | ||||
\(406\) | 2.90988 | − | 1.63868i | 0.144415 | − | 0.0813265i | ||||
\(407\) | 44.7227i | 2.21682i | ||||||||
\(408\) | −9.80271 | − | 10.1089i | −0.485307 | − | 0.500467i | ||||
\(409\) | −2.82912 | − | 2.05548i | −0.139891 | − | 0.101637i | 0.515639 | − | 0.856806i | \(-0.327555\pi\) |
−0.655530 | + | 0.755169i | \(0.727555\pi\) | |||||||
\(410\) | 7.31018 | − | 13.2491i | 0.361024 | − | 0.654328i | ||||
\(411\) | 12.8966 | − | 6.84614i | 0.636142 | − | 0.337695i | ||||
\(412\) | −26.9856 | − | 6.34354i | −1.32949 | − | 0.312524i | ||||
\(413\) | −5.39149 | − | 3.91715i | −0.265298 | − | 0.192750i | ||||
\(414\) | −15.0067 | − | 24.6731i | −0.737542 | − | 1.21262i | ||||
\(415\) | −32.1540 | − | 13.1699i | −1.57838 | − | 0.646486i | ||||
\(416\) | −2.26893 | − | 5.93274i | −0.111243 | − | 0.290877i | ||||
\(417\) | −7.43554 | + | 1.30594i | −0.364120 | + | 0.0639523i | ||||
\(418\) | 4.46887 | + | 22.1915i | 0.218579 | + | 1.08542i | ||||
\(419\) | 4.29638 | + | 13.2229i | 0.209892 | + | 0.645981i | 0.999477 | + | 0.0323397i | \(0.0102958\pi\) |
−0.789585 | + | 0.613641i | \(0.789704\pi\) | |||||||
\(420\) | −3.93190 | − | 7.25382i | −0.191857 | − | 0.353950i | ||||
\(421\) | −6.26295 | + | 19.2754i | −0.305238 | + | 0.939425i | 0.674351 | + | 0.738411i | \(0.264424\pi\) |
−0.979588 | + | 0.201014i | \(0.935576\pi\) | |||||||
\(422\) | 23.8766 | + | 2.76861i | 1.16229 | + | 0.134774i | ||||
\(423\) | 8.07194 | + | 22.2704i | 0.392471 | + | 1.08282i | ||||
\(424\) | 13.9588 | − | 9.47120i | 0.677898 | − | 0.459962i | ||||
\(425\) | 12.7533 | − | 6.62568i | 0.618624 | − | 0.321393i | ||||
\(426\) | −12.3384 | + | 0.721657i | −0.597797 | + | 0.0349644i | ||||
\(427\) | −2.91683 | + | 2.11920i | −0.141155 | + | 0.102555i | ||||
\(428\) | 7.23761 | − | 0.604144i | 0.349843 | − | 0.0292024i | ||||
\(429\) | 6.57450 | + | 3.21206i | 0.317420 | + | 0.155080i | ||||
\(430\) | 29.0190 | − | 3.62086i | 1.39942 | − | 0.174614i | ||||
\(431\) | −2.67383 | − | 8.22920i | −0.128794 | − | 0.396386i | 0.865779 | − | 0.500426i | \(-0.166823\pi\) |
−0.994573 | + | 0.104039i | \(0.966823\pi\) | |||||||
\(432\) | 19.3479 | − | 7.59322i | 0.930879 | − | 0.365329i | ||||
\(433\) | 31.8729 | − | 10.3561i | 1.53172 | − | 0.497684i | 0.582639 | − | 0.812731i | \(-0.302020\pi\) |
0.949076 | + | 0.315047i | \(0.102020\pi\) | |||||||
\(434\) | 0.238312 | − | 0.520177i | 0.0114393 | − | 0.0249693i | ||||
\(435\) | −8.54378 | + | 0.850994i | −0.409643 | + | 0.0408020i | ||||
\(436\) | 10.6500 | − | 17.5656i | 0.510043 | − | 0.841239i | ||||
\(437\) | 23.4281 | + | 17.0215i | 1.12072 | + | 0.814251i | ||||
\(438\) | 2.13987 | − | 3.33925i | 0.102247 | − | 0.159556i | ||||
\(439\) | 11.4376 | + | 15.7426i | 0.545889 | + | 0.751351i | 0.989447 | − | 0.144894i | \(-0.0462842\pi\) |
−0.443559 | + | 0.896245i | \(0.646284\pi\) | |||||||
\(440\) | 17.6511 | + | 15.9580i | 0.841483 | + | 0.760767i | ||||
\(441\) | 10.8146 | + | 13.8805i | 0.514982 | + | 0.660974i | ||||
\(442\) | 3.97705 | − | 2.23965i | 0.189169 | − | 0.106529i | ||||
\(443\) | − | 13.0563i | − | 0.620325i | −0.950684 | − | 0.310163i | \(-0.899616\pi\) | ||
0.950684 | − | 0.310163i | \(-0.100384\pi\) | |||||||
\(444\) | −34.6382 | + | 22.2656i | −1.64385 | + | 1.05668i | ||||
\(445\) | 1.37642 | − | 18.4200i | 0.0652484 | − | 0.873192i | ||||
\(446\) | 0.257965 | − | 2.22470i | 0.0122150 | − | 0.105343i | ||||
\(447\) | 0.578422 | + | 0.282596i | 0.0273584 | + | 0.0133663i | ||||
\(448\) | −2.10693 | − | 8.25694i | −0.0995431 | − | 0.390104i | ||||
\(449\) | 18.7063i | 0.882806i | 0.897309 | + | 0.441403i | \(0.145519\pi\) | ||||
−0.897309 | + | 0.441403i | \(0.854481\pi\) | |||||||
\(450\) | 1.76107 | + | 21.1400i | 0.0830176 | + | 0.996548i | ||||
\(451\) | 18.0036i | 0.847755i | ||||||||
\(452\) | −9.30041 | + | 15.3396i | −0.437454 | + | 0.721515i | ||||
\(453\) | −33.6321 | − | 16.4314i | −1.58018 | − | 0.772016i | ||||
\(454\) | 7.13209 | + | 0.827004i | 0.334726 | + | 0.0388132i | ||||
\(455\) | 2.59806 | − | 0.634616i | 0.121799 | − | 0.0297513i | ||||
\(456\) | −14.9627 | + | 14.5094i | −0.700692 | + | 0.679467i | ||||
\(457\) | − | 35.1109i | − | 1.64242i | −0.570627 | − | 0.821210i | \(-0.693300\pi\) | ||
0.570627 | − | 0.821210i | \(-0.306700\pi\) | |||||||
\(458\) | −9.59128 | − | 17.0317i | −0.448171 | − | 0.795837i | ||||
\(459\) | 7.44170 | + | 12.9495i | 0.347349 | + | 0.604432i | ||||
\(460\) | 30.4394 | − | 0.264659i | 1.41925 | − | 0.0123398i | ||||
\(461\) | −3.62536 | − | 4.98988i | −0.168850 | − | 0.232402i | 0.716203 | − | 0.697892i | \(-0.245878\pi\) |
−0.885053 | + | 0.465490i | \(0.845878\pi\) | |||||||
\(462\) | 8.26522 | + | 5.29654i | 0.384533 | + | 0.246417i | ||||
\(463\) | −14.6195 | − | 10.6217i | −0.679425 | − | 0.493631i | 0.193742 | − | 0.981053i | \(-0.437938\pi\) |
−0.873167 | + | 0.487421i | \(0.837938\pi\) | |||||||
\(464\) | −8.77122 | − | 1.30411i | −0.407194 | − | 0.0605419i | ||||
\(465\) | −1.09855 | + | 0.978360i | −0.0509438 | + | 0.0453703i | ||||
\(466\) | −8.65092 | − | 3.96330i | −0.400746 | − | 0.183596i | ||||
\(467\) | 30.6430 | − | 9.95653i | 1.41799 | − | 0.460733i | 0.503028 | − | 0.864270i | \(-0.332219\pi\) |
0.914963 | + | 0.403537i | \(0.132219\pi\) | |||||||
\(468\) | 0.785403 | + | 6.69117i | 0.0363053 | + | 0.309299i | ||||
\(469\) | −2.99460 | − | 9.21642i | −0.138278 | − | 0.425575i | ||||
\(470\) | −24.5200 | − | 4.71632i | −1.13102 | − | 0.217548i | ||||
\(471\) | 5.92752 | + | 2.89597i | 0.273126 | + | 0.133439i | ||||
\(472\) | 4.92432 | + | 16.9968i | 0.226660 | + | 0.782341i | ||||
\(473\) | −28.1486 | + | 20.4511i | −1.29427 | + | 0.940344i | ||||
\(474\) | −1.95573 | − | 33.4378i | −0.0898298 | − | 1.53585i | ||||
\(475\) | −9.80697 | − | 18.8767i | −0.449975 | − | 0.866122i | ||||
\(476\) | 5.64614 | − | 2.37012i | 0.258790 | − | 0.108634i | ||||
\(477\) | −16.8211 | + | 6.09682i | −0.770184 | + | 0.279154i | ||||
\(478\) | 2.34026 | − | 20.1824i | 0.107041 | − | 0.923122i | ||||
\(479\) | 3.14794 | − | 9.68838i | 0.143833 | − | 0.442673i | −0.853026 | − | 0.521869i | \(-0.825235\pi\) |
0.996859 | + | 0.0791954i | \(0.0252351\pi\) | |||||||
\(480\) | −3.57185 | + | 21.6158i | −0.163032 | + | 0.986621i | ||||
\(481\) | −4.12449 | − | 12.6939i | −0.188061 | − | 0.578791i | ||||
\(482\) | 33.7742 | − | 6.80135i | 1.53837 | − | 0.309793i | ||||
\(483\) | 12.3688 | − | 2.17240i | 0.562801 | − | 0.0988476i | ||||
\(484\) | −6.14345 | − | 1.44415i | −0.279248 | − | 0.0656432i | ||||
\(485\) | 13.6254 | + | 22.0386i | 0.618700 | + | 1.00072i | ||||
\(486\) | −21.8719 | + | 2.76056i | −0.992129 | + | 0.125222i | ||||
\(487\) | 4.70083 | + | 3.41535i | 0.213015 | + | 0.154764i | 0.689177 | − | 0.724593i | \(-0.257972\pi\) |
−0.476162 | + | 0.879358i | \(0.657972\pi\) | |||||||
\(488\) | 9.56855 | + | 0.307830i | 0.433148 | + | 0.0139348i | ||||
\(489\) | −14.2136 | + | 7.54528i | −0.642761 | + | 0.341209i | ||||
\(490\) | −18.4052 | + | 2.29652i | −0.831463 | + | 0.103746i | ||||
\(491\) | 15.1802 | + | 11.0290i | 0.685071 | + | 0.497734i | 0.875036 | − | 0.484057i | \(-0.160837\pi\) |
−0.189965 | + | 0.981791i | \(0.560837\pi\) | |||||||
\(492\) | −13.9440 | + | 8.96325i | −0.628642 | + | 0.404095i | ||||
\(493\) | − | 6.37215i | − | 0.286987i | ||||||
\(494\) | −3.31501 | − | 5.88660i | −0.149149 | − | 0.264851i | ||||
\(495\) | −13.9851 | − | 21.0098i | −0.628585 | − | 0.944320i | ||||
\(496\) | −1.34710 | + | 0.702547i | −0.0604866 | + | 0.0315453i | ||||
\(497\) | 1.66086 | − | 5.11161i | 0.0744999 | − | 0.229287i | ||||
\(498\) | 24.1327 | + | 29.4348i | 1.08141 | + | 1.31900i | ||||
\(499\) | − | 12.9825i | − | 0.581176i | −0.956848 | − | 0.290588i | \(-0.906149\pi\) | ||
0.956848 | − | 0.290588i | \(-0.0938510\pi\) | |||||||
\(500\) | −20.0893 | − | 9.81936i | −0.898421 | − | 0.439135i | ||||
\(501\) | 4.62461 | − | 32.7463i | 0.206612 | − | 1.46300i | ||||
\(502\) | 13.8027 | − | 15.0029i | 0.616045 | − | 0.669611i | ||||
\(503\) | 16.8618 | + | 5.47872i | 0.751828 | + | 0.244284i | 0.659768 | − | 0.751470i | \(-0.270655\pi\) |
0.0920606 | + | 0.995753i | \(0.470655\pi\) | |||||||
\(504\) | 0.0126953 | + | 9.03843i | 0.000565494 | + | 0.402603i | ||||
\(505\) | −14.6276 | + | 17.2645i | −0.650918 | + | 0.768258i | ||||
\(506\) | −31.5573 | + | 17.7713i | −1.40289 | + | 0.790032i | ||||
\(507\) | 20.1331 | + | 2.84330i | 0.894143 | + | 0.126276i | ||||
\(508\) | 12.1580 | + | 14.0993i | 0.539423 | + | 0.625555i | ||||
\(509\) | −7.18389 | + | 9.88778i | −0.318420 | + | 0.438268i | −0.937984 | − | 0.346678i | \(-0.887310\pi\) |
0.619564 | + | 0.784946i | \(0.287310\pi\) | |||||||
\(510\) | −15.7413 | − | 0.254453i | −0.697038 | − | 0.0112674i | ||||
\(511\) | 1.01375 | + | 1.39530i | 0.0448455 | + | 0.0617246i | ||||
\(512\) | −9.03276 | + | 20.7463i | −0.399195 | + | 0.916866i | ||||
\(513\) | 19.1672 | − | 11.0148i | 0.846252 | − | 0.486315i | ||||
\(514\) | 25.5030 | − | 27.7205i | 1.12489 | − | 1.22270i | ||||
\(515\) | −26.3618 | + | 16.2983i | −1.16164 | + | 0.718188i | ||||
\(516\) | −29.8536 | − | 11.6196i | −1.31423 | − | 0.511523i | ||||
\(517\) | 28.2539 | − | 9.18023i | 1.24260 | − | 0.403746i | ||||
\(518\) | −3.53498 | − | 17.5540i | −0.155318 | − | 0.771278i | ||||
\(519\) | −3.59189 | − | 20.4509i | −0.157666 | − | 0.897693i | ||||
\(520\) | −6.48171 | − | 2.90159i | −0.284242 | − | 0.127243i | ||||
\(521\) | −24.6446 | − | 8.00751i | −1.07970 | − | 0.350815i | −0.285441 | − | 0.958396i | \(-0.592140\pi\) |
−0.794258 | + | 0.607581i | \(0.792140\pi\) | |||||||
\(522\) | 8.67754 | + | 3.62831i | 0.379806 | + | 0.158807i | ||||
\(523\) | −20.8125 | + | 15.1212i | −0.910066 | + | 0.661202i | −0.941032 | − | 0.338318i | \(-0.890142\pi\) |
0.0309652 | + | 0.999520i | \(0.490142\pi\) | |||||||
\(524\) | −13.5964 | + | 5.70748i | −0.593963 | + | 0.249332i | ||||
\(525\) | −8.84102 | − | 2.63315i | −0.385854 | − | 0.114920i | ||||
\(526\) | −4.23432 | − | 21.0268i | −0.184625 | − | 0.916812i | ||||
\(527\) | −0.641709 | − | 0.883237i | −0.0279533 | − | 0.0384744i | ||||
\(528\) | −8.70319 | − | 24.5706i | −0.378758 | − | 1.06930i | ||||
\(529\) | −7.20982 | + | 22.1895i | −0.313470 | + | 0.964762i | ||||
\(530\) | 3.56229 | − | 18.5202i | 0.154736 | − | 0.804467i | ||||
\(531\) | −0.629861 | − | 18.7586i | −0.0273337 | − | 0.814055i | ||||
\(532\) | −3.50813 | − | 8.35711i | −0.152097 | − | 0.362327i | ||||
\(533\) | −1.66036 | − | 5.11005i | −0.0719181 | − | 0.221341i | ||||
\(534\) | −10.9173 | + | 17.0365i | −0.472440 | + | 0.737240i | ||||
\(535\) | 5.24908 | − | 6.19533i | 0.226938 | − | 0.267847i | ||||
\(536\) | −8.73442 | + | 24.2043i | −0.377270 | + | 1.04547i | ||||
\(537\) | −3.80765 | − | 3.68195i | −0.164312 | − | 0.158888i | ||||
\(538\) | 9.47253 | − | 20.6762i | 0.408390 | − | 0.891416i | ||||
\(539\) | 17.8532 | − | 12.9711i | 0.768990 | − | 0.558704i | ||||
\(540\) | 9.30966 | − | 21.2916i | 0.400624 | − | 0.916243i | ||||
\(541\) | 6.60000 | + | 4.79518i | 0.283756 | + | 0.206161i | 0.720554 | − | 0.693399i | \(-0.243888\pi\) |
−0.436798 | + | 0.899560i | \(0.643888\pi\) | |||||||
\(542\) | −17.1554 | + | 9.66097i | −0.736888 | + | 0.414974i | ||||
\(543\) | −13.9651 | − | 1.97222i | −0.599300 | − | 0.0846362i | ||||
\(544\) | −15.7004 | − | 4.22780i | −0.673151 | − | 0.181265i | ||||
\(545\) | −5.44972 | − | 22.3107i | −0.233440 | − | 0.955684i | ||||
\(546\) | −2.83443 | − | 0.741096i | −0.121302 | − | 0.0317160i | ||||
\(547\) | 3.33780 | − | 10.2727i | 0.142714 | − | 0.439228i | −0.853996 | − | 0.520280i | \(-0.825828\pi\) |
0.996710 | + | 0.0810512i | \(0.0258277\pi\) | |||||||
\(548\) | 8.74103 | − | 14.4170i | 0.373398 | − | 0.615864i | ||||
\(549\) | −9.75711 | − | 2.81198i | −0.416423 | − | 0.120013i | ||||
\(550\) | 26.5713 | − | 1.31766i | 1.13301 | − | 0.0561850i | ||||
\(551\) | −9.43170 | −0.401804 | ||||||||
\(552\) | −29.4752 | − | 15.5938i | −1.25455 | − | 0.663718i | ||||
\(553\) | 13.8528 | + | 4.50104i | 0.589080 | + | 0.191404i | ||||
\(554\) | 21.7085 | + | 2.51722i | 0.922306 | + | 0.106946i | ||||
\(555\) | −9.81671 | + | 44.9787i | −0.416696 | + | 1.90924i | ||||
\(556\) | −6.60173 | + | 5.69275i | −0.279976 | + | 0.241426i | ||||
\(557\) | −11.5067 | −0.487554 | −0.243777 | − | 0.969831i | \(-0.578386\pi\) | ||||
−0.243777 | + | 0.969831i | \(0.578386\pi\) | |||||||
\(558\) | 1.56818 | − | 0.370958i | 0.0663862 | − | 0.0157039i | ||||
\(559\) | 6.10348 | − | 8.40073i | 0.258150 | − | 0.355313i | ||||
\(560\) | −8.18954 | − | 4.86845i | −0.346071 | − | 0.205729i | ||||
\(561\) | 16.5444 | − | 8.78256i | 0.698504 | − | 0.370800i | ||||
\(562\) | −14.1589 | + | 30.9055i | −0.597258 | + | 1.30367i | ||||
\(563\) | 19.9046 | − | 27.3963i | 0.838878 | − | 1.15462i | −0.147327 | − | 0.989088i | \(-0.547067\pi\) |
0.986205 | − | 0.165529i | \(-0.0529331\pi\) | |||||||
\(564\) | 21.1766 | + | 17.3124i | 0.891697 | + | 0.728985i | ||||
\(565\) | 4.75911 | + | 19.4834i | 0.200217 | + | 0.819673i | ||||
\(566\) | −30.9353 | − | 14.1726i | −1.30031 | − | 0.595717i | ||||
\(567\) | 2.34419 | − | 9.29568i | 0.0984469 | − | 0.390382i | ||||
\(568\) | −11.8096 | + | 8.01299i | −0.495522 | + | 0.336218i | ||||
\(569\) | 28.3556 | − | 9.21329i | 1.18873 | − | 0.386241i | 0.353126 | − | 0.935576i | \(-0.385119\pi\) |
0.835603 | + | 0.549334i | \(0.185119\pi\) | |||||||
\(570\) | −0.376627 | + | 23.2995i | −0.0157752 | + | 0.975907i | ||||
\(571\) | 21.9256 | + | 7.12405i | 0.917557 | + | 0.298132i | 0.729464 | − | 0.684019i | \(-0.239769\pi\) |
0.188093 | + | 0.982151i | \(0.439769\pi\) | |||||||
\(572\) | 8.41989 | − | 0.702832i | 0.352053 | − | 0.0293869i | ||||
\(573\) | 27.2332 | − | 14.4567i | 1.13769 | − | 0.603939i | ||||
\(574\) | −1.42304 | − | 7.06654i | −0.0593966 | − | 0.294952i | ||||
\(575\) | 23.8743 | − | 24.2550i | 0.995628 | − | 1.01150i | ||||
\(576\) | 14.6972 | − | 18.9734i | 0.612385 | − | 0.790560i | ||||
\(577\) | 18.9329 | + | 26.0589i | 0.788186 | + | 1.08484i | 0.994332 | + | 0.106323i | \(0.0339079\pi\) |
−0.206146 | + | 0.978521i | \(0.566092\pi\) | |||||||
\(578\) | −1.42340 | + | 12.2754i | −0.0592055 | + | 0.510589i | ||||
\(579\) | 21.6338 | + | 10.5695i | 0.899072 | + | 0.439254i | ||||
\(580\) | −7.96989 | + | 5.89701i | −0.330931 | + | 0.244860i | ||||
\(581\) | −15.7420 | + | 5.11490i | −0.653090 | + | 0.212202i | ||||
\(582\) | −1.65728 | − | 28.3351i | −0.0686966 | − | 1.17453i | ||||
\(583\) | 6.93393 | + | 21.3404i | 0.287174 | + | 0.883830i | ||||
\(584\) | 0.147255 | − | 4.57725i | 0.00609345 | − | 0.189408i | ||||
\(585\) | 5.90708 | + | 4.67356i | 0.244228 | + | 0.193228i | ||||
\(586\) | 9.73744 | − | 10.5841i | 0.402250 | − | 0.437226i | ||||
\(587\) | 16.0298 | − | 22.0631i | 0.661621 | − | 0.910643i | −0.337913 | − | 0.941177i | \(-0.609721\pi\) |
0.999534 | + | 0.0305344i | \(0.00972091\pi\) | |||||||
\(588\) | 18.9346 | + | 7.36968i | 0.780849 | + | 0.303920i | ||||
\(589\) | −1.30732 | + | 0.949823i | −0.0538672 | + | 0.0391368i | ||||
\(590\) | 17.3227 | + | 9.55775i | 0.713163 | + | 0.393486i | ||||
\(591\) | 28.0776 | + | 27.1507i | 1.15496 | + | 1.11683i | ||||
\(592\) | −21.1834 | + | 42.5677i | −0.870634 | + | 1.74952i | ||||
\(593\) | 41.0713 | 1.68660 | 0.843299 | − | 0.537445i | \(-0.180611\pi\) | ||||
0.843299 | + | 0.537445i | \(0.180611\pi\) | |||||||
\(594\) | 2.53963 | + | 27.5308i | 0.104202 | + | 1.12960i | ||||
\(595\) | 2.59490 | − | 6.33538i | 0.106380 | − | 0.259725i | ||||
\(596\) | 0.740778 | − | 0.0618349i | 0.0303435 | − | 0.00253285i | ||||
\(597\) | −3.35651 | − | 1.63987i | −0.137373 | − | 0.0671154i | ||||
\(598\) | 7.31815 | − | 7.95447i | 0.299261 | − | 0.325282i | ||||
\(599\) | −9.65061 | −0.394313 | −0.197157 | − | 0.980372i | \(-0.563171\pi\) | ||||
−0.197157 | + | 0.980372i | \(0.563171\pi\) | |||||||
\(600\) | 14.2493 | + | 19.9238i | 0.581727 | + | 0.813384i | ||||
\(601\) | −20.7168 | −0.845054 | −0.422527 | − | 0.906350i | \(-0.638857\pi\) | ||||
−0.422527 | + | 0.906350i | \(0.638857\pi\) | |||||||
\(602\) | 9.43203 | − | 10.2521i | 0.384421 | − | 0.417846i | ||||
\(603\) | 15.2924 | − | 22.6064i | 0.622753 | − | 0.920602i | ||||
\(604\) | −43.0723 | + | 3.59537i | −1.75259 | + | 0.146293i | ||||
\(605\) | −6.00144 | + | 3.71041i | −0.243993 | + | 0.150850i | ||||
\(606\) | 23.0871 | − | 9.02326i | 0.937848 | − | 0.366545i | ||||
\(607\) | 13.9554 | 0.566431 | 0.283216 | − | 0.959056i | \(-0.408599\pi\) | ||||
0.283216 | + | 0.959056i | \(0.408599\pi\) | |||||||
\(608\) | −6.25775 | + | 23.2389i | −0.253785 | + | 0.942463i | ||||
\(609\) | −2.84321 | + | 2.94028i | −0.115213 | + | 0.119146i | ||||
\(610\) | 7.81372 | − | 7.31511i | 0.316368 | − | 0.296180i | ||||
\(611\) | −7.17281 | + | 5.21135i | −0.290181 | + | 0.210829i | ||||
\(612\) | 15.0390 | + | 8.44130i | 0.607914 | + | 0.341219i | ||||
\(613\) | −0.153307 | + | 0.211009i | −0.00619200 | + | 0.00852256i | −0.812102 | − | 0.583516i | \(-0.801677\pi\) |
0.805910 | + | 0.592038i | \(0.201677\pi\) | |||||||
\(614\) | −2.90383 | + | 3.15632i | −0.117189 | + | 0.127379i | ||||
\(615\) | −3.95182 | + | 18.1066i | −0.159353 | + | 0.730130i | ||||
\(616\) | 11.3295 | + | 0.364481i | 0.456477 | + | 0.0146853i | ||||
\(617\) | −0.797927 | − | 2.45577i | −0.0321233 | − | 0.0988655i | 0.933709 | − | 0.358032i | \(-0.116552\pi\) |
−0.965833 | + | 0.259167i | \(0.916552\pi\) | |||||||
\(618\) | 33.8934 | − | 1.98238i | 1.36339 | − | 0.0797432i | ||||
\(619\) | 42.5094 | − | 13.8121i | 1.70860 | − | 0.555157i | 0.718499 | − | 0.695528i | \(-0.244829\pi\) |
0.990099 | + | 0.140371i | \(0.0448295\pi\) | |||||||
\(620\) | −0.510838 | + | 1.61999i | −0.0205157 | + | 0.0650603i | ||||
\(621\) | 26.2364 | + | 23.7192i | 1.05283 | + | 0.951818i | ||||
\(622\) | −4.62141 | + | 39.8551i | −0.185302 | + | 1.59805i | ||||
\(623\) | −5.17201 | − | 7.11866i | −0.207212 | − | 0.285203i | ||||
\(624\) | 4.73627 | + | 6.17138i | 0.189603 | + | 0.247053i | ||||
\(625\) | −23.6512 | + | 8.10053i | −0.946050 | + | 0.324021i | ||||
\(626\) | 0.328732 | + | 1.63242i | 0.0131388 | + | 0.0652446i | ||||
\(627\) | −12.9995 | − | 24.4881i | −0.519149 | − | 0.977959i | ||||
\(628\) | 7.59130 | − | 0.633668i | 0.302926 | − | 0.0252861i | ||||
\(629\) | −32.4945 | − | 10.5581i | −1.29564 | − | 0.420979i | ||||
\(630\) | 7.14993 | + | 7.14109i | 0.284860 | + | 0.284508i | ||||
\(631\) | −2.19977 | + | 0.714749i | −0.0875715 | + | 0.0284537i | −0.352475 | − | 0.935821i | \(-0.614660\pi\) |
0.264904 | + | 0.964275i | \(0.414660\pi\) | |||||||
\(632\) | −21.7157 | − | 32.0048i | −0.863803 | − | 1.27308i | ||||
\(633\) | −28.9948 | + | 5.09251i | −1.15244 | + | 0.202409i | ||||
\(634\) | −0.638550 | − | 0.292543i | −0.0253601 | − | 0.0116184i | ||||
\(635\) | 20.7570 | + | 1.55104i | 0.823716 | + | 0.0615513i | ||||
\(636\) | −13.0763 | + | 15.9949i | −0.518507 | + | 0.634240i | ||||
\(637\) | −3.87112 | + | 5.32814i | −0.153379 | + | 0.211108i | ||||
\(638\) | 4.91300 | − | 10.7239i | 0.194507 | − | 0.424563i | ||||
\(639\) | 14.2313 | − | 5.15814i | 0.562980 | − | 0.204053i | ||||
\(640\) | 9.24187 | + | 23.5497i | 0.365317 | + | 0.930883i | ||||
\(641\) | 16.9735 | − | 23.3620i | 0.670413 | − | 0.922745i | −0.329357 | − | 0.944206i | \(-0.606832\pi\) |
0.999770 | + | 0.0214611i | \(0.00683180\pi\) | |||||||
\(642\) | −8.28477 | + | 3.23799i | −0.326974 | + | 0.127793i | ||||
\(643\) | −28.5484 | −1.12584 | −0.562920 | − | 0.826511i | \(-0.690322\pi\) | ||||
−0.562920 | + | 0.826511i | \(0.690322\pi\) | |||||||
\(644\) | 10.9818 | − | 9.46974i | 0.432744 | − | 0.373160i | ||||
\(645\) | −32.7988 | + | 14.3895i | −1.29145 | + | 0.566588i | ||||
\(646\) | −17.1789 | − | 1.99198i | −0.675894 | − | 0.0783735i | ||||
\(647\) | −15.3388 | − | 4.98389i | −0.603032 | − | 0.195937i | −0.00843998 | − | 0.999964i | \(-0.502687\pi\) |
−0.594592 | + | 0.804027i | \(0.702687\pi\) | |||||||
\(648\) | −20.0585 | + | 15.6734i | −0.787972 | + | 0.615711i | ||||
\(649\) | −23.5389 | −0.923983 | ||||||||
\(650\) | −7.42037 | + | 2.82451i | −0.291051 | + | 0.110786i | ||||
\(651\) | −0.0979926 | + | 0.693875i | −0.00384063 | + | 0.0271951i | ||||
\(652\) | −9.63367 | + | 15.8893i | −0.377284 | + | 0.622272i | ||||
\(653\) | −6.14191 | + | 18.9029i | −0.240352 | + | 0.739726i | 0.756015 | + | 0.654555i | \(0.227144\pi\) |
−0.996366 | + | 0.0851714i | \(0.972856\pi\) | |||||||
\(654\) | −6.36410 | + | 24.3404i | −0.248856 | + | 0.951786i | ||||
\(655\) | −6.24875 | + | 15.2562i | −0.244159 | + | 0.596108i | ||||
\(656\) | −8.52761 | + | 17.1361i | −0.332947 | + | 0.669051i | ||||
\(657\) | −1.34515 | + | 4.66745i | −0.0524793 | + | 0.182094i | ||||
\(658\) | −10.3642 | + | 5.83656i | −0.404040 | + | 0.227533i | ||||
\(659\) | 34.8156 | + | 25.2950i | 1.35622 | + | 0.985354i | 0.998675 | + | 0.0514590i | \(0.0163872\pi\) |
0.357548 | + | 0.933895i | \(0.383613\pi\) | |||||||
\(660\) | −26.2954 | − | 12.5650i | −1.02355 | − | 0.489091i | ||||
\(661\) | 16.7406 | − | 12.1628i | 0.651135 | − | 0.473077i | −0.212523 | − | 0.977156i | \(-0.568168\pi\) |
0.863658 | + | 0.504079i | \(0.168168\pi\) | |||||||
\(662\) | −3.57866 | + | 7.81136i | −0.139089 | + | 0.303597i | ||||
\(663\) | −3.88592 | + | 4.01859i | −0.150917 | + | 0.156069i | ||||
\(664\) | 41.3420 | + | 14.9188i | 1.60438 | + | 0.578961i | ||||
\(665\) | −9.37728 | − | 3.84082i | −0.363635 | − | 0.148941i | ||||
\(666\) | 32.8804 | − | 38.2390i | 1.27409 | − | 1.48173i | ||||
\(667\) | −4.66303 | − | 14.3513i | −0.180553 | − | 0.555686i | ||||
\(668\) | −14.7808 | − | 35.2109i | −0.571885 | − | 1.36235i | ||||
\(669\) | 0.474494 | + | 2.70159i | 0.0183450 | + | 0.104450i | ||||
\(670\) | 12.2095 | + | 26.0499i | 0.471695 | + | 1.00640i | ||||
\(671\) | −3.93523 | + | 12.1114i | −0.151918 | + | 0.467555i | ||||
\(672\) | 5.35818 | + | 8.95624i | 0.206696 | + | 0.345495i | ||||
\(673\) | −18.0086 | − | 24.7867i | −0.694180 | − | 0.955457i | −0.999994 | − | 0.00336563i | \(-0.998929\pi\) |
0.305814 | − | 0.952091i | \(-0.401071\pi\) | |||||||
\(674\) | 2.46727 | + | 12.2520i | 0.0950357 | + | 0.471928i | ||||
\(675\) | −9.45351 | − | 24.1998i | −0.363866 | − | 0.931451i | ||||
\(676\) | 21.6484 | − | 9.08751i | 0.832630 | − | 0.349520i | ||||
\(677\) | 17.9811 | − | 13.0640i | 0.691070 | − | 0.502092i | −0.185942 | − | 0.982561i | \(-0.559534\pi\) |
0.877012 | + | 0.480469i | \(0.159534\pi\) | |||||||
\(678\) | 5.55762 | − | 21.2559i | 0.213439 | − | 0.816330i | ||||
\(679\) | 11.7388 | + | 3.81417i | 0.450494 | + | 0.146374i | ||||
\(680\) | −15.7618 | + | 9.05755i | −0.604437 | + | 0.347341i | ||||
\(681\) | −8.66095 | + | 1.52117i | −0.331888 | + | 0.0582913i | ||||
\(682\) | −0.398967 | − | 1.98119i | −0.0152772 | − | 0.0758638i | ||||
\(683\) | 2.21814 | − | 0.720716i | 0.0848746 | − | 0.0275774i | −0.266272 | − | 0.963898i | \(-0.585792\pi\) |
0.351147 | + | 0.936321i | \(0.385792\pi\) | |||||||
\(684\) | 12.4943 | − | 22.2598i | 0.477733 | − | 0.851126i | ||||
\(685\) | −4.47287 | − | 18.3116i | −0.170900 | − | 0.699648i | ||||
\(686\) | −13.1217 | + | 14.2627i | −0.500989 | + | 0.544551i | ||||
\(687\) | 17.2096 | + | 16.6414i | 0.656585 | + | 0.634909i | ||||
\(688\) | −36.4792 | + | 6.13277i | −1.39075 | + | 0.233810i | ||||
\(689\) | −3.93619 | − | 5.41770i | −0.149957 | − | 0.206398i | ||||
\(690\) | −35.6388 | + | 10.9462i | −1.35675 | + | 0.416714i | ||||
\(691\) | −14.6482 | + | 20.1615i | −0.557244 | + | 0.766980i | −0.990973 | − | 0.134063i | \(-0.957198\pi\) |
0.433729 | + | 0.901043i | \(0.357198\pi\) | |||||||
\(692\) | −15.6575 | − | 18.1575i | −0.595207 | − | 0.690246i | ||||
\(693\) | −11.5527 | − | 3.32947i | −0.438852 | − | 0.126476i | ||||
\(694\) | 38.6387 | − | 21.7592i | 1.46671 | − | 0.825967i | ||||
\(695\) | −0.726248 | + | 9.71908i | −0.0275482 | + | 0.368666i | ||||
\(696\) | 10.7517 | − | 1.53382i | 0.407544 | − | 0.0581394i | ||||
\(697\) | −13.0810 | − | 4.25028i | −0.495478 | − | 0.160991i | ||||
\(698\) | −9.96880 | + | 10.8356i | −0.377325 | + | 0.410133i | ||||
\(699\) | 11.5396 | + | 1.62969i | 0.436470 | + | 0.0616405i | ||||
\(700\) | −10.3253 | + | 2.61744i | −0.390260 | + | 0.0989301i | ||||
\(701\) | 9.33962i | 0.352753i | 0.984323 | + | 0.176376i | \(0.0564376\pi\) | ||||
−0.984323 | + | 0.176376i | \(0.943562\pi\) | |||||||
\(702\) | −3.25983 | − | 7.58000i | −0.123034 | − | 0.286089i | ||||
\(703\) | −15.6275 | + | 48.0966i | −0.589404 | + | 1.81400i | ||||
\(704\) | −23.1631 | − | 19.2203i | −0.872992 | − | 0.724393i | ||||
\(705\) | 30.4307 | − | 3.03101i | 1.14609 | − | 0.114155i | ||||
\(706\) | 6.44491 | + | 11.4445i | 0.242558 | + | 0.430720i | ||||
\(707\) | 10.7792i | 0.405395i | ||||||||
\(708\) | −11.7191 | − | 18.2311i | −0.440430 | − | 0.685168i | ||||
\(709\) | 36.3736 | + | 26.4270i | 1.36604 | + | 0.992485i | 0.998035 | + | 0.0626614i | \(0.0199588\pi\) |
0.368004 | + | 0.929824i | \(0.380041\pi\) | |||||||
\(710\) | −3.01383 | + | 15.6688i | −0.113107 | + | 0.588040i | ||||
\(711\) | 13.9789 | + | 38.5676i | 0.524248 | + | 1.44640i | ||||
\(712\) | −0.751275 | + | 23.3525i | −0.0281552 | + | 0.875173i | ||||
\(713\) | −2.09159 | − | 1.51963i | −0.0783308 | − | 0.0569107i | ||||
\(714\) | −5.79960 | + | 4.75492i | −0.217044 | + | 0.177949i | ||||
\(715\) | 6.10653 | − | 7.20735i | 0.228371 | − | 0.269540i | ||||
\(716\) | −5.95381 | − | 1.39957i | −0.222504 | − | 0.0523044i | ||||
\(717\) | 4.30460 | + | 24.5088i | 0.160758 | + | 0.915297i | ||||
\(718\) | 35.1333 | − | 7.07506i | 1.31116 | − | 0.264039i | ||||
\(719\) | −5.63305 | − | 17.3368i | −0.210077 | − | 0.646552i | −0.999467 | − | 0.0326586i | \(-0.989603\pi\) |
0.789389 | − | 0.613893i | \(-0.210397\pi\) | |||||||
\(720\) | −3.35972 | − | 26.6217i | −0.125209 | − | 0.992130i | ||||
\(721\) | −4.56237 | + | 14.0415i | −0.169912 | + | 0.522934i | ||||
\(722\) | 0.146566 | − | 1.26398i | 0.00545461 | − | 0.0470406i | ||||
\(723\) | −37.2694 | + | 19.7844i | −1.38606 | + | 0.735791i | ||||
\(724\) | −15.0162 | + | 6.30345i | −0.558071 | + | 0.234266i | ||||
\(725\) | −1.64737 | + | 10.9615i | −0.0611816 | + | 0.407098i | ||||
\(726\) | 7.71607 | − | 0.451303i | 0.286370 | − | 0.0167494i | ||||
\(727\) | 33.0545 | − | 24.0155i | 1.22592 | − | 0.890686i | 0.229346 | − | 0.973345i | \(-0.426341\pi\) |
0.996578 | + | 0.0826588i | \(0.0263412\pi\) | |||||||
\(728\) | −3.24932 | + | 0.941393i | −0.120428 | + | 0.0348903i | ||||
\(729\) | 24.7097 | − | 10.8825i | 0.915176 | − | 0.403055i | ||||
\(730\) | −3.49928 | − | 3.73780i | −0.129514 | − | 0.138342i | ||||
\(731\) | −8.21405 | − | 25.2802i | −0.303808 | − | 0.935023i | ||||
\(732\) | −11.3396 | + | 2.98190i | −0.419123 | + | 0.110214i | ||||
\(733\) | 14.0288 | − | 4.55822i | 0.518165 | − | 0.168362i | −0.0382476 | − | 0.999268i | \(-0.512178\pi\) |
0.556412 | + | 0.830906i | \(0.312178\pi\) | |||||||
\(734\) | 31.2809 | + | 14.3309i | 1.15460 | + | 0.528963i | ||||
\(735\) | 20.8025 | − | 9.12653i | 0.767313 | − | 0.336637i | ||||
\(736\) | −38.4543 | + | 1.96749i | −1.41745 | + | 0.0725228i | ||||
\(737\) | −27.6916 | − | 20.1191i | −1.02003 | − | 0.741098i | ||||
\(738\) | 13.2363 | − | 15.3935i | 0.487236 | − | 0.566643i | ||||
\(739\) | −3.77113 | − | 5.19052i | −0.138723 | − | 0.190936i | 0.734003 | − | 0.679147i | \(-0.237650\pi\) |
−0.872726 | + | 0.488210i | \(0.837650\pi\) | |||||||
\(740\) | 16.8661 | + | 50.4130i | 0.620011 | + | 1.85322i | ||||
\(741\) | 5.94809 | + | 5.75172i | 0.218509 | + | 0.211295i | ||||
\(742\) | −4.40841 | − | 7.82821i | −0.161838 | − | 0.287383i | ||||
\(743\) | 0.134545i | 0.00493599i | 0.999997 | + | 0.00246800i | \(0.000785588\pi\) | ||||
−0.999997 | + | 0.00246800i | \(0.999214\pi\) | |||||||
\(744\) | 1.33582 | − | 1.29536i | 0.0489737 | − | 0.0474902i | ||||
\(745\) | 0.537250 | − | 0.634099i | 0.0196833 | − | 0.0232316i | ||||
\(746\) | 13.2617 | + | 1.53776i | 0.485544 | + | 0.0563014i | ||||
\(747\) | −38.6127 | − | 26.1200i | −1.41276 | − | 0.955682i | ||||
\(748\) | 11.2134 | − | 18.4948i | 0.410003 | − | 0.676238i | ||||
\(749\) | − | 3.86812i | − | 0.141338i | ||||||
\(750\) | 27.0127 | + | 4.50726i | 0.986363 | + | 0.164582i | ||||
\(751\) | 2.79895i | 0.102135i | 0.998695 | + | 0.0510676i | \(0.0162624\pi\) | ||||
−0.998695 | + | 0.0510676i | \(0.983738\pi\) | |||||||
\(752\) | 31.2408 | + | 4.64491i | 1.13923 | + | 0.169382i | ||||
\(753\) | −10.9603 | + | 22.4337i | −0.399416 | + | 0.817531i | ||||
\(754\) | −0.405486 | + | 3.49691i | −0.0147669 | + | 0.127350i | ||||
\(755\) | −31.2382 | + | 36.8695i | −1.13688 | + | 1.34182i | ||||
\(756\) | −3.17292 | − | 10.6053i | −0.115398 | − | 0.385711i | ||||
\(757\) | 12.7242i | 0.462467i | 0.972898 | + | 0.231234i | \(0.0742762\pi\) | ||||
−0.972898 | + | 0.231234i | \(0.925724\pi\) | |||||||
\(758\) | −21.0378 | + | 11.8473i | −0.764128 | + | 0.430314i | ||||
\(759\) | 30.8342 | − | 31.8870i | 1.11921 | − | 1.15742i | ||||
\(760\) | 13.4065 | + | 23.3297i | 0.486304 | + | 0.846258i | ||||
\(761\) | 16.0710 | + | 22.1199i | 0.582575 | + | 0.801846i | 0.993975 | − | 0.109609i | \(-0.0349599\pi\) |
−0.411400 | + | 0.911455i | \(0.634960\pi\) | |||||||
\(762\) | −19.1979 | − | 12.3024i | −0.695467 | − | 0.445671i | ||||
\(763\) | −8.85109 | − | 6.43069i | −0.320431 | − | 0.232807i | ||||
\(764\) | 18.4581 | − | 30.4439i | 0.667790 | − | 1.10142i | ||||
\(765\) | 18.5669 | − | 5.20132i | 0.671286 | − | 0.188054i | ||||
\(766\) | 16.1849 | − | 35.3278i | 0.584786 | − | 1.27645i | ||||
\(767\) | 6.68118 | − | 2.17085i | 0.241243 | − | 0.0783847i | ||||
\(768\) | 3.35436 | − | 27.5091i | 0.121040 | − | 0.992648i | ||||
\(769\) | 2.64404 | + | 8.13751i | 0.0953465 | + | 0.293446i | 0.987344 | − | 0.158594i | \(-0.0506962\pi\) |
−0.891997 | + | 0.452041i | \(0.850696\pi\) | |||||||
\(770\) | 9.25168 | − | 8.66131i | 0.333407 | − | 0.312132i | ||||
\(771\) | −20.2512 | + | 41.4504i | −0.729328 | + | 1.49280i | ||||
\(772\) | 27.7062 | − | 2.31272i | 0.997169 | − | 0.0832365i | ||||
\(773\) | −19.0205 | + | 13.8192i | −0.684121 | + | 0.497043i | −0.874722 | − | 0.484624i | \(-0.838956\pi\) |
0.190601 | + | 0.981668i | \(0.438956\pi\) | |||||||
\(774\) | 39.1035 | + | 3.20878i | 1.40555 | + | 0.115337i | ||||
\(775\) | 0.875537 | + | 1.68525i | 0.0314502 | + | 0.0605361i | ||||
\(776\) | −18.4018 | − | 27.1208i | −0.660586 | − | 0.973581i | ||||
\(777\) | 10.2829 | + | 19.3706i | 0.368896 | + | 0.694917i | ||||
\(778\) | −8.07333 | − | 0.936146i | −0.289443 | − | 0.0335625i | ||||
\(779\) | −6.29103 | + | 19.3618i | −0.225399 | + | 0.693708i | ||||
\(780\) | 8.62236 | + | 1.14132i | 0.308730 | + | 0.0408660i | ||||
\(781\) | −5.86636 | − | 18.0548i | −0.209915 | − | 0.646052i | ||||
\(782\) | −5.46222 | − | 27.1243i | −0.195329 | − | 0.969964i | ||||
\(783\) | −11.4538 | − | 1.22717i | −0.409327 | − | 0.0438553i | ||||
\(784\) | 23.1368 | − | 3.88969i | 0.826314 | − | 0.138918i | ||||
\(785\) | 5.50560 | − | 6.49809i | 0.196503 | − | 0.231927i | ||||
\(786\) | 13.9660 | − | 11.4503i | 0.498150 | − | 0.408419i | ||||
\(787\) | −23.7830 | − | 17.2794i | −0.847773 | − | 0.615943i | 0.0767584 | − | 0.997050i | \(-0.475543\pi\) |
−0.924531 | + | 0.381107i | \(0.875543\pi\) | |||||||
\(788\) | 43.9034 | + | 10.3204i | 1.56399 | + | 0.367650i | ||||
\(789\) | 12.3172 | + | 23.2028i | 0.438503 | + | 0.826042i | ||||
\(790\) | −42.4634 | − | 8.16766i | −1.51078 | − | 0.290592i | ||||
\(791\) | 7.72945 | + | 5.61578i | 0.274828 | + | 0.199674i | ||||
\(792\) | 18.8012 | + | 25.8013i | 0.668071 | + | 0.916810i | ||||
\(793\) | − | 3.80057i | − | 0.134962i | ||||||
\(794\) | −32.0577 | + | 18.0531i | −1.13769 | + | 0.640682i | ||||
\(795\) | 2.28936 | + | 22.9846i | 0.0811951 | + | 0.815180i | ||||
\(796\) | −4.29865 | + | 0.358821i | −0.152362 | + | 0.0127181i | ||||
\(797\) | 16.5271 | − | 50.8650i | 0.585418 | − | 1.80173i | −0.0121654 | − | 0.999926i | \(-0.503872\pi\) |
0.597584 | − | 0.801806i | \(-0.296128\pi\) | |||||||
\(798\) | 7.03798 | + | 8.58424i | 0.249142 | + | 0.303879i | ||||
\(799\) | 22.6959i | 0.802923i | ||||||||
\(800\) | 25.9151 | + | 11.3317i | 0.916238 | + | 0.400635i | ||||
\(801\) | 6.86279 | − | 23.8127i | 0.242485 | − | 0.841381i | ||||
\(802\) | −36.1127 | − | 33.2239i | −1.27518 | − | 1.17318i | ||||
\(803\) | 5.79365 | + | 1.88247i | 0.204454 | + | 0.0664310i | ||||
\(804\) | 1.79594 | − | 31.4640i | 0.0633381 | − | 1.10965i | ||||
\(805\) | 1.20809 | − | 16.1674i | 0.0425797 | − | 0.569827i | ||||
\(806\) | 0.295954 | + | 0.525539i | 0.0104245 | + | 0.0185113i | ||||
\(807\) | −3.89506 | + | 27.5805i | −0.137112 | + | 0.970878i | ||||
\(808\) | 17.5597 | − | 22.6031i | 0.617748 | − | 0.795174i | ||||
\(809\) | −8.86942 | + | 12.2077i | −0.311832 | + | 0.429200i | −0.935951 | − | 0.352129i | \(-0.885458\pi\) |
0.624119 | + | 0.781329i | \(0.285458\pi\) | |||||||
\(810\) | −3.48889 | + | 28.2458i | −0.122587 | + | 0.992458i | ||||
\(811\) | −8.45881 | − | 11.6426i | −0.297029 | − | 0.408825i | 0.634252 | − | 0.773126i | \(-0.281308\pi\) |
−0.931281 | + | 0.364301i | \(0.881308\pi\) | |||||||
\(812\) | −1.08075 | + | 4.59754i | −0.0379269 | + | 0.161342i | ||||
\(813\) | 16.7623 | − | 17.3346i | 0.587880 | − | 0.607951i | ||||
\(814\) | −46.5456 | − | 42.8222i | −1.63142 | − | 1.50092i | ||||
\(815\) | 4.92965 | + | 20.1815i | 0.172678 | + | 0.706929i | ||||
\(816\) | 19.9071 | − | 0.522926i | 0.696889 | − | 0.0183061i | ||||
\(817\) | −37.4184 | + | 12.1580i | −1.30910 | + | 0.425354i | ||||
\(818\) | 4.84816 | − | 0.976309i | 0.169512 | − | 0.0341359i | ||||
\(819\) | 3.58613 | − | 0.120412i | 0.125309 | − | 0.00420753i | ||||
\(820\) | 6.78964 | + | 20.2943i | 0.237104 | + | 0.708706i | ||||
\(821\) | −36.2795 | − | 11.7879i | −1.26616 | − | 0.411401i | −0.402476 | − | 0.915430i | \(-0.631850\pi\) |
−0.863687 | + | 0.504029i | \(0.831850\pi\) | |||||||
\(822\) | −5.22336 | + | 19.9775i | −0.182185 | + | 0.696795i | ||||
\(823\) | 14.9057 | − | 10.8296i | 0.519580 | − | 0.377497i | −0.296866 | − | 0.954919i | \(-0.595941\pi\) |
0.816446 | + | 0.577422i | \(0.195941\pi\) | |||||||
\(824\) | 32.4410 | − | 22.0116i | 1.13013 | − | 0.766810i | ||||
\(825\) | −30.7304 | + | 10.8307i | −1.06989 | + | 0.377077i | ||||
\(826\) | 9.23920 | − | 1.86057i | 0.321473 | − | 0.0647374i | ||||
\(827\) | −29.0131 | − | 39.9331i | −1.00888 | − | 1.38861i | −0.919713 | − | 0.392592i | \(-0.871578\pi\) |
−0.0891702 | − | 0.996016i | \(-0.528422\pi\) | |||||||
\(828\) | 40.0479 | + | 8.00622i | 1.39176 | + | 0.278235i | ||||
\(829\) | 0.628871 | − | 1.93547i | 0.0218416 | − | 0.0672215i | −0.939542 | − | 0.342435i | \(-0.888748\pi\) |
0.961383 | + | 0.275213i | \(0.0887484\pi\) | |||||||
\(830\) | 44.4944 | − | 20.8544i | 1.54442 | − | 0.723867i | ||||
\(831\) | −26.3620 | + | 4.63009i | −0.914488 | + | 0.160616i | ||||
\(832\) | 8.34708 | + | 3.31922i | 0.289383 | + | 0.115073i | ||||
\(833\) | 5.20974 | + | 16.0339i | 0.180507 | + | 0.555542i | ||||
\(834\) | 5.76040 | − | 8.98907i | 0.199466 | − | 0.311266i | ||||
\(835\) | −39.5092 | − | 16.1825i | −1.36727 | − | 0.560019i | ||||
\(836\) | −27.3750 | − | 16.5975i | −0.946785 | − | 0.574036i | ||||
\(837\) | −1.71119 | + | 0.983368i | −0.0591473 | + | 0.0339902i | ||||
\(838\) | −17.8757 | − | 8.18949i | −0.617505 | − | 0.282901i | ||||
\(839\) | 24.3937 | − | 17.7231i | 0.842164 | − | 0.611868i | −0.0808101 | − | 0.996730i | \(-0.525751\pi\) |
0.922974 | + | 0.384861i | \(0.125751\pi\) | |||||||
\(840\) | 11.3143 | + | 2.85340i | 0.390381 | + | 0.0984518i | ||||
\(841\) | −19.4854 | − | 14.1570i | −0.671911 | − | 0.488172i | ||||
\(842\) | −14.0643 | − | 24.9745i | −0.484686 | − | 0.860679i | ||||
\(843\) | 5.82208 | − | 41.2255i | 0.200523 | − | 1.41988i | ||||
\(844\) | −25.7434 | + | 22.1988i | −0.886125 | + | 0.764116i | ||||
\(845\) | 9.94933 | − | 24.2911i | 0.342267 | − | 0.835638i | ||||
\(846\) | −30.9071 | − | 12.9231i | −1.06261 | − | 0.444305i | ||||
\(847\) | −1.03866 | + | 3.19665i | −0.0356886 | + | 0.109838i | ||||
\(848\) | −3.50835 | + | 23.5965i | −0.120477 | + | 0.810306i | ||||
\(849\) | 41.2652 | + | 5.82769i | 1.41622 | + | 0.200006i | ||||
\(850\) | −5.31557 | + | 19.6172i | −0.182323 | + | 0.672865i | ||||
\(851\) | −80.9103 | −2.77357 | ||||||||
\(852\) | 11.0630 | − | 13.5323i | 0.379012 | − | 0.463610i | ||||
\(853\) | 16.6871 | + | 5.42196i | 0.571355 | + | 0.185644i | 0.580424 | − | 0.814314i | \(-0.302887\pi\) |
−0.00906911 | + | 0.999959i | \(0.502887\pi\) | |||||||
\(854\) | 0.587298 | − | 5.06486i | 0.0200969 | − | 0.173316i | ||||
\(855\) | −7.69870 | − | 27.4816i | −0.263290 | − | 0.939852i | ||||
\(856\) | −6.30128 | + | 8.11109i | −0.215373 | + | 0.277231i | ||||
\(857\) | 25.8154 | 0.881838 | 0.440919 | − | 0.897547i | \(-0.354653\pi\) | ||||
0.440919 | + | 0.897547i | \(0.354653\pi\) | |||||||
\(858\) | −9.63811 | + | 3.76692i | −0.329040 | + | 0.128600i | ||||
\(859\) | 2.02084 | − | 2.78145i | 0.0689502 | − | 0.0949018i | −0.773149 | − | 0.634224i | \(-0.781320\pi\) |
0.842099 | + | 0.539322i | \(0.181320\pi\) | |||||||
\(860\) | −24.0174 | + | 33.6688i | −0.818986 | + | 1.14810i | ||||
\(861\) | 4.13948 | + | 7.79784i | 0.141073 | + | 0.265750i | ||||
\(862\) | 11.1248 | + | 5.09668i | 0.378913 | + | 0.173594i | ||||
\(863\) | −12.0946 | + | 16.6468i | −0.411705 | + | 0.566664i | −0.963633 | − | 0.267228i | \(-0.913892\pi\) |
0.551928 | + | 0.833892i | \(0.313892\pi\) | |||||||
\(864\) | −10.6230 | + | 27.4071i | −0.361403 | + | 0.932410i | ||||
\(865\) | −26.7315 | − | 1.99749i | −0.908900 | − | 0.0679166i | ||||
\(866\) | −19.7402 | + | 43.0882i | −0.670800 | + | 1.46420i | ||||
\(867\) | −2.61816 | − | 14.9068i | −0.0889173 | − | 0.506261i | ||||
\(868\) | 0.313195 | + | 0.746098i | 0.0106305 | + | 0.0253242i | ||||
\(869\) | 48.9296 | − | 15.8982i | 1.65982 | − | 0.539309i | ||||
\(870\) | 7.29503 | − | 9.70686i | 0.247325 | − | 0.329093i | ||||
\(871\) | 9.71533 | + | 3.15670i | 0.329191 | + | 0.106961i | ||||
\(872\) | 8.08413 | + | 27.9032i | 0.273763 | + | 0.944923i | ||||
\(873\) | 11.8456 | + | 32.6821i | 0.400914 | + | 1.10612i | ||||
\(874\) | −40.1479 | + | 8.08488i | −1.35802 | + | 0.273475i | ||||
\(875\) | −6.10163 | + | 10.2274i | −0.206273 | + | 0.345748i | ||||
\(876\) | 1.42643 | + | 5.42445i | 0.0481946 | + | 0.183275i | ||||
\(877\) | −20.6185 | − | 28.3790i | −0.696238 | − | 0.958290i | −0.999985 | − | 0.00553692i | \(-0.998238\pi\) |
0.303746 | − | 0.952753i | \(-0.401762\pi\) | |||||||
\(878\) | −27.3358 | − | 3.16973i | −0.922540 | − | 0.106973i | ||||
\(879\) | −7.73220 | + | 15.8264i | −0.260801 | + | 0.533811i | ||||
\(880\) | −33.5095 | + | 3.09073i | −1.12960 | + | 0.104188i | ||||
\(881\) | 20.5723 | − | 6.68433i | 0.693097 | − | 0.225201i | 0.0587766 | − | 0.998271i | \(-0.481280\pi\) |
0.634320 | + | 0.773070i | \(0.281280\pi\) | |||||||
\(882\) | −24.8013 | − | 2.03516i | −0.835103 | − | 0.0685274i | ||||
\(883\) | −8.94004 | − | 27.5146i | −0.300856 | − | 0.925941i | −0.981191 | − | 0.193039i | \(-0.938166\pi\) |
0.680335 | − | 0.732902i | \(-0.261834\pi\) | |||||||
\(884\) | −1.47710 | + | 6.28363i | −0.0496803 | + | 0.211341i | ||||
\(885\) | −23.6737 | − | 5.16683i | −0.795781 | − | 0.173681i | ||||
\(886\) | 13.5885 | + | 12.5015i | 0.456515 | + | 0.419997i | ||||
\(887\) | −7.27261 | + | 10.0099i | −0.244190 | + | 0.336099i | −0.913466 | − | 0.406915i | \(-0.866605\pi\) |
0.669276 | + | 0.743014i | \(0.266605\pi\) | |||||||
\(888\) | 9.99306 | − | 57.3695i | 0.335345 | − | 1.92519i | ||||
\(889\) | 8.02182 | − | 5.82819i | 0.269043 | − | 0.195471i | ||||
\(890\) | 17.8529 | + | 19.0698i | 0.598430 | + | 0.639220i | ||||
\(891\) | −12.6004 | − | 31.4296i | −0.422128 | − | 1.05293i | ||||
\(892\) | 2.06838 | + | 2.39864i | 0.0692543 | + | 0.0803124i | ||||
\(893\) | 33.5932 | 1.12415 | ||||||||
\(894\) | −0.847956 | + | 0.331412i | −0.0283599 | + | 0.0110841i | ||||
\(895\) | −5.81618 | + | 3.59588i | −0.194414 | + | 0.120197i | ||||
\(896\) | 10.6109 | + | 5.71326i | 0.354485 | + | 0.190866i | ||||
\(897\) | −5.81112 | + | 11.8943i | −0.194028 | + | 0.397139i | ||||
\(898\) | −19.4688 | − | 17.9114i | −0.649683 | − | 0.597711i | ||||
\(899\) | 0.842034 | 0.0280834 | ||||||||
\(900\) | −23.6879 | − | 18.4088i | −0.789597 | − | 0.613626i | ||||
\(901\) | −17.1424 | −0.571098 | ||||||||
\(902\) | −18.7374 | − | 17.2385i | −0.623888 | − | 0.573980i | ||||
\(903\) | −7.48968 | + | 15.3300i | −0.249241 | + | 0.510151i | ||||
\(904\) | −7.05969 | − | 24.3673i | −0.234802 | − | 0.810443i | ||||
\(905\) | −6.90124 | + | 16.8492i | −0.229405 | + | 0.560087i | ||||
\(906\) | 49.3042 | − | 19.2698i | 1.63802 | − | 0.640197i | ||||
\(907\) | 7.65091 | 0.254044 | 0.127022 | − | 0.991900i | \(-0.459458\pi\) | ||||
0.127022 | + | 0.991900i | \(0.459458\pi\) | |||||||
\(908\) | −7.68973 | + | 6.63095i | −0.255193 | + | 0.220056i | ||||
\(909\) | −23.9480 | + | 18.6585i | −0.794306 | + | 0.618865i | ||||
\(910\) | −1.82718 | + | 3.31161i | −0.0605703 | + | 0.109779i | ||||
\(911\) | 34.6405 | − | 25.1678i | 1.14769 | − | 0.833846i | 0.159519 | − | 0.987195i | \(-0.449006\pi\) |
0.988172 | + | 0.153349i | \(0.0490058\pi\) | |||||||
\(912\) | −0.774006 | − | 29.4654i | −0.0256299 | − | 0.975698i | ||||
\(913\) | −34.3644 | + | 47.2985i | −1.13729 | + | 1.56535i | ||||
\(914\) | 36.5421 | + | 33.6189i | 1.20870 | + | 1.11201i | ||||
\(915\) | −6.61623 | + | 11.3169i | −0.218726 | + | 0.374126i | ||||
\(916\) | 26.9096 | + | 6.32567i | 0.889118 | + | 0.209006i | ||||
\(917\) | 2.42688 | + | 7.46915i | 0.0801425 | + | 0.246653i | ||||
\(918\) | −20.6028 | − | 4.65422i | −0.679995 | − | 0.153612i | ||||
\(919\) | 2.46022 | − | 0.799373i | 0.0811551 | − | 0.0263689i | −0.268158 | − | 0.963375i | \(-0.586415\pi\) |
0.349313 | + | 0.937006i | \(0.386415\pi\) | |||||||
\(920\) | −28.8705 | + | 31.9336i | −0.951831 | + | 1.05282i | ||||
\(921\) | 2.30584 | − | 4.71964i | 0.0759801 | − | 0.155517i | ||||
\(922\) | 8.66458 | + | 1.00470i | 0.285353 | + | 0.0330882i | ||||
\(923\) | 3.33016 | + | 4.58358i | 0.109614 | + | 0.150870i | ||||
\(924\) | −13.4264 | + | 3.53066i | −0.441697 | + | 0.116150i | ||||
\(925\) | 53.1679 | + | 26.5629i | 1.74815 | + | 0.873382i | ||||
\(926\) | 25.0529 | − | 5.04508i | 0.823288 | − | 0.165792i | ||||
\(927\) | −39.0931 | + | 14.1693i | −1.28399 | + | 0.465382i | ||||
\(928\) | 9.75576 | − | 7.88005i | 0.320249 | − | 0.258675i | ||||
\(929\) | −43.7961 | − | 14.2302i | −1.43690 | − | 0.466879i | −0.515974 | − | 0.856604i | \(-0.672570\pi\) |
−0.920931 | + | 0.389726i | \(0.872570\pi\) | |||||||
\(930\) | 0.0336242 | − | 2.08011i | 0.00110258 | − | 0.0682094i | ||||
\(931\) | 23.7325 | − | 7.71117i | 0.777802 | − | 0.252723i | ||||
\(932\) | 12.4082 | − | 5.20867i | 0.406443 | − | 0.170616i | ||||
\(933\) | −8.50050 | − | 48.3986i | −0.278294 | − | 1.58450i | ||||
\(934\) | −18.9785 | + | 41.4255i | −0.620996 | + | 1.35548i | ||||
\(935\) | −5.73802 | − | 23.4909i | −0.187653 | − | 0.768236i | ||||
\(936\) | −7.71594 | − | 5.58941i | −0.252203 | − | 0.182696i | ||||
\(937\) | 8.87033 | − | 12.2090i | 0.289781 | − | 0.398850i | −0.639162 | − | 0.769072i | \(-0.720719\pi\) |
0.928943 | + | 0.370223i | \(0.120719\pi\) | |||||||
\(938\) | 12.4594 | + | 5.70811i | 0.406815 | + | 0.186376i | ||||
\(939\) | −0.956248 | − | 1.80136i | −0.0312060 | − | 0.0587850i | ||||
\(940\) | 28.3866 | − | 21.0036i | 0.925869 | − | 0.685061i | ||||
\(941\) | −3.79706 | + | 5.22620i | −0.123780 | + | 0.170369i | −0.866410 | − | 0.499333i | \(-0.833578\pi\) |
0.742630 | + | 0.669702i | \(0.233578\pi\) | |||||||
\(942\) | −8.68964 | + | 3.39622i | −0.283124 | + | 0.110655i | ||||
\(943\) | −32.5713 | −1.06067 | ||||||||
\(944\) | −22.4047 | − | 11.1495i | −0.729210 | − | 0.362885i | ||||
\(945\) | −10.8880 | − | 5.88437i | −0.354187 | − | 0.191419i | ||||
\(946\) | 5.66767 | − | 48.8780i | 0.184272 | − | 1.58916i | ||||
\(947\) | −34.4157 | − | 11.1823i | −1.11836 | − | 0.363377i | −0.309218 | − | 0.950991i | \(-0.600067\pi\) |
−0.809141 | + | 0.587614i | \(0.800067\pi\) | |||||||
\(948\) | 36.6734 | + | 29.9814i | 1.19110 | + | 0.973751i | ||||
\(949\) | −1.81805 | −0.0590165 | ||||||||
\(950\) | 29.0363 | + | 7.86782i | 0.942064 | + | 0.255266i | ||||
\(951\) | 0.851776 | + | 0.120292i | 0.0276207 | + | 0.00390074i | ||||
\(952\) | −2.93948 | + | 8.14569i | −0.0952690 | + | 0.264003i | ||||
\(953\) | 15.4770 | − | 47.6332i | 0.501348 | − | 1.54299i | −0.305476 | − | 0.952200i | \(-0.598816\pi\) |
0.806825 | − | 0.590791i | \(-0.201184\pi\) | |||||||
\(954\) | 9.76094 | − | 23.3445i | 0.316022 | − | 0.755805i | ||||
\(955\) | −9.44520 | − | 38.6678i | −0.305639 | − | 1.25126i | ||||
\(956\) | 18.7643 | + | 21.7604i | 0.606879 | + | 0.703782i | ||||
\(957\) | −2.02020 | + | 14.3048i | −0.0653038 | + | 0.462409i | ||||
\(958\) | 7.06911 | + | 12.5529i | 0.228393 | + | 0.405567i | ||||
\(959\) | −7.26456 | − | 5.27801i | −0.234585 | − | 0.170436i | ||||
\(960\) | −19.0768 | − | 24.4147i | −0.615701 | − | 0.787980i | ||||
\(961\) | −24.9628 | + | 18.1365i | −0.805252 | + | 0.585050i | ||||
\(962\) | 17.1605 | + | 7.86185i | 0.553278 | + | 0.253476i | ||||
\(963\) | 8.59372 | − | 6.69559i | 0.276929 | − | 0.215762i | ||||
\(964\) | −25.2604 | + | 41.6632i | −0.813582 | + | 1.34188i | ||||
\(965\) | 20.0940 | − | 23.7163i | 0.646848 | − | 0.763454i | ||||
\(966\) | −9.58226 | + | 14.9531i | −0.308304 | + | 0.481107i | ||||
\(967\) | 7.32446 | + | 22.5424i | 0.235539 | + | 0.724914i | 0.997049 | + | 0.0767613i | \(0.0244580\pi\) |
−0.761511 | + | 0.648152i | \(0.775542\pi\) | |||||||
\(968\) | 7.38540 | − | 5.01109i | 0.237376 | − | 0.161062i | ||||
\(969\) | 20.8614 | − | 3.66400i | 0.670165 | − | 0.117704i | ||||
\(970\) | −35.9834 | − | 6.92125i | −1.15536 | − | 0.222228i | ||||
\(971\) | −3.13548 | + | 9.65003i | −0.100622 | + | 0.309684i | −0.988678 | − | 0.150052i | \(-0.952056\pi\) |
0.888056 | + | 0.459736i | \(0.152056\pi\) | |||||||
\(972\) | 18.0694 | − | 25.4067i | 0.579575 | − | 0.814919i | ||||
\(973\) | 2.72895 | + | 3.75607i | 0.0874860 | + | 0.120414i | ||||
\(974\) | −8.05563 | + | 1.62222i | −0.258119 | + | 0.0519793i | ||||
\(975\) | 7.72351 | − | 5.90821i | 0.247350 | − | 0.189214i | ||||
\(976\) | −9.48232 | + | 9.66383i | −0.303522 | + | 0.309332i | ||||
\(977\) | 9.69668 | − | 7.04505i | 0.310224 | − | 0.225391i | −0.421768 | − | 0.906704i | \(-0.638590\pi\) |
0.731993 | + | 0.681312i | \(0.238590\pi\) | |||||||
\(978\) | 5.75677 | − | 22.0176i | 0.184081 | − | 0.704045i | ||||
\(979\) | −29.5585 | − | 9.60413i | −0.944693 | − | 0.306949i | ||||
\(980\) | 15.2330 | − | 21.3544i | 0.486599 | − | 0.682140i | ||||
\(981\) | −1.03403 | − | 30.7956i | −0.0330140 | − | 0.983227i | ||||
\(982\) | −26.0137 | + | 5.23857i | −0.830130 | + | 0.167169i | ||||
\(983\) | −16.6060 | + | 5.39561i | −0.529649 | + | 0.172093i | −0.561620 | − | 0.827396i | \(-0.689822\pi\) |
0.0319711 | + | 0.999489i | \(0.489822\pi\) | |||||||
\(984\) | 4.02281 | − | 23.0947i | 0.128242 | − | 0.736232i | ||||
\(985\) | 42.8885 | − | 26.5160i | 1.36654 | − | 0.844869i | ||||
\(986\) | 6.63188 | + | 6.10137i | 0.211202 | + | 0.194307i | ||||
\(987\) | 10.1267 | − | 10.4725i | 0.322338 | − | 0.333343i | ||||
\(988\) | 9.30069 | + | 2.18632i | 0.295894 | + | 0.0695562i | ||||
\(989\) | −36.9993 | − | 50.9252i | −1.17651 | − | 1.61933i | ||||
\(990\) | 35.2570 | + | 5.56179i | 1.12054 | + | 0.176765i | ||||
\(991\) | 6.39343 | − | 8.79981i | 0.203094 | − | 0.279535i | −0.695305 | − | 0.718715i | \(-0.744731\pi\) |
0.898399 | + | 0.439180i | \(0.144731\pi\) | |||||||
\(992\) | 0.558673 | − | 2.07470i | 0.0177379 | − | 0.0658719i | ||||
\(993\) | 1.47153 | − | 10.4197i | 0.0466976 | − | 0.330660i | ||||
\(994\) | 3.72968 | + | 6.62296i | 0.118298 | + | 0.210068i | ||||
\(995\) | −3.11760 | + | 3.67961i | −0.0988346 | + | 0.116651i | ||||
\(996\) | −53.7418 | − | 3.06755i | −1.70287 | − | 0.0971991i | ||||
\(997\) | −3.02400 | − | 0.982558i | −0.0957711 | − | 0.0311179i | 0.260740 | − | 0.965409i | \(-0.416034\pi\) |
−0.356511 | + | 0.934291i | \(0.616034\pi\) | |||||||
\(998\) | 13.5117 | + | 12.4308i | 0.427705 | + | 0.393490i | ||||
\(999\) | −25.2359 | + | 56.3751i | −0.798430 | + | 1.78363i |
(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 | 300.2.r.a.239.14 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.r.a.239.43 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.r.a.239.9 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.r.a.239.48 | yes | 224 | |
25.9 | even | 10 | inner | 300.2.r.a.59.48 | yes | 224 | |
75.59 | odd | 10 | inner | 300.2.r.a.59.9 | ✓ | 224 | |
100.59 | odd | 10 | inner | 300.2.r.a.59.43 | yes | 224 | |
300.59 | even | 10 | inner | 300.2.r.a.59.14 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.r.a.59.9 | ✓ | 224 | 75.59 | odd | 10 | inner | |
300.2.r.a.59.14 | yes | 224 | 300.59 | even | 10 | inner | |
300.2.r.a.59.43 | yes | 224 | 100.59 | odd | 10 | inner | |
300.2.r.a.59.48 | yes | 224 | 25.9 | even | 10 | inner | |
300.2.r.a.239.9 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.r.a.239.14 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.r.a.239.43 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.r.a.239.48 | yes | 224 | 12.11 | even | 2 | inner |