Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(11,300)]
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, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.n (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 | 11.13 | ||
Character | \(\chi\) | \(=\) | 300.11 |
Dual form | 300.2.n.a.191.13 |
$q$-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 \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{4}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.02327 | + | 0.976179i | −0.723559 | + | 0.690263i | ||||
\(3\) | 0.339606 | + | 1.69843i | 0.196071 | + | 0.980590i | ||||
\(4\) | 0.0941493 | − | 1.99778i | 0.0470746 | − | 0.998891i | ||||
\(5\) | 2.10329 | + | 0.759058i | 0.940620 | + | 0.339461i | ||||
\(6\) | −2.00548 | − | 1.40643i | −0.818734 | − | 0.574173i | ||||
\(7\) | 0.738888i | 0.279273i | 0.990203 | + | 0.139637i | \(0.0445935\pi\) | ||||
−0.990203 | + | 0.139637i | \(0.955407\pi\) | |||||||
\(8\) | 1.85385 | + | 2.13617i | 0.655436 | + | 0.755250i | ||||
\(9\) | −2.76934 | + | 1.15359i | −0.923112 | + | 0.384531i | ||||
\(10\) | −2.89320 | + | 1.27647i | −0.914911 | + | 0.403655i | ||||
\(11\) | 1.63157 | − | 1.18541i | 0.491938 | − | 0.357414i | −0.313991 | − | 0.949426i | \(-0.601666\pi\) |
0.805929 | + | 0.592012i | \(0.201666\pi\) | |||||||
\(12\) | 3.42507 | − | 0.518553i | 0.988732 | − | 0.149693i | ||||
\(13\) | 3.83758 | + | 2.78817i | 1.06435 | + | 0.773299i | 0.974889 | − | 0.222691i | \(-0.0714842\pi\) |
0.0894654 | + | 0.995990i | \(0.471484\pi\) | |||||||
\(14\) | −0.721287 | − | 0.756079i | −0.192772 | − | 0.202071i | ||||
\(15\) | −0.574919 | + | 3.83007i | −0.148443 | + | 0.988921i | ||||
\(16\) | −3.98227 | − | 0.376180i | −0.995568 | − | 0.0940449i | ||||
\(17\) | −3.35436 | + | 1.08990i | −0.813551 | + | 0.264339i | −0.686101 | − | 0.727506i | \(-0.740679\pi\) |
−0.127450 | + | 0.991845i | \(0.540679\pi\) | |||||||
\(18\) | 1.70765 | − | 3.88380i | 0.402498 | − | 0.915421i | ||||
\(19\) | 2.82939 | − | 0.919326i | 0.649108 | − | 0.210908i | 0.0340869 | − | 0.999419i | \(-0.489148\pi\) |
0.615021 | + | 0.788511i | \(0.289148\pi\) | |||||||
\(20\) | 1.71446 | − | 4.13045i | 0.383364 | − | 0.923597i | ||||
\(21\) | −1.25495 | + | 0.250931i | −0.273853 | + | 0.0547576i | ||||
\(22\) | −0.512365 | + | 2.80570i | −0.109237 | + | 0.598177i | ||||
\(23\) | −1.01379 | + | 0.736564i | −0.211391 | + | 0.153584i | −0.688443 | − | 0.725291i | \(-0.741705\pi\) |
0.477052 | + | 0.878875i | \(0.341705\pi\) | |||||||
\(24\) | −2.99856 | + | 3.87410i | −0.612078 | + | 0.790797i | ||||
\(25\) | 3.84766 | + | 3.19304i | 0.769532 | + | 0.638608i | ||||
\(26\) | −6.64862 | + | 0.893130i | −1.30390 | + | 0.175157i | ||||
\(27\) | −2.89978 | − | 4.31176i | −0.558063 | − | 0.829798i | ||||
\(28\) | 1.47614 | + | 0.0695658i | 0.278964 | + | 0.0131467i | ||||
\(29\) | −7.24833 | − | 2.35512i | −1.34598 | − | 0.437336i | −0.454642 | − | 0.890674i | \(-0.650233\pi\) |
−0.891339 | + | 0.453338i | \(0.850233\pi\) | |||||||
\(30\) | −3.15054 | − | 4.48041i | −0.575208 | − | 0.818007i | ||||
\(31\) | −6.78818 | + | 2.20561i | −1.21919 | + | 0.396140i | −0.846788 | − | 0.531930i | \(-0.821467\pi\) |
−0.372405 | + | 0.928070i | \(0.621467\pi\) | |||||||
\(32\) | 4.44214 | − | 3.50248i | 0.785268 | − | 0.619156i | ||||
\(33\) | 2.56743 | + | 2.36854i | 0.446931 | + | 0.412311i | ||||
\(34\) | 2.36847 | − | 4.38971i | 0.406189 | − | 0.752828i | ||||
\(35\) | −0.560859 | + | 1.55410i | −0.0948025 | + | 0.262690i | ||||
\(36\) | 2.04390 | + | 5.64114i | 0.340650 | + | 0.940190i | ||||
\(37\) | −0.994956 | − | 0.722878i | −0.163570 | − | 0.118840i | 0.502989 | − | 0.864293i | \(-0.332234\pi\) |
−0.666559 | + | 0.745452i | \(0.732234\pi\) | |||||||
\(38\) | −1.99780 | + | 3.70271i | −0.324086 | + | 0.600659i | ||||
\(39\) | −3.43225 | + | 7.46475i | −0.549599 | + | 1.19532i | ||||
\(40\) | 2.27771 | + | 5.90017i | 0.360138 | + | 0.932899i | ||||
\(41\) | −1.02181 | + | 1.40641i | −0.159581 | + | 0.219644i | −0.881319 | − | 0.472522i | \(-0.843344\pi\) |
0.721738 | + | 0.692166i | \(0.243344\pi\) | |||||||
\(42\) | 1.03920 | − | 1.48183i | 0.160351 | − | 0.228651i | ||||
\(43\) | − | 2.44596i | − | 0.373005i | −0.982455 | − | 0.186502i | \(-0.940285\pi\) | ||
0.982455 | − | 0.186502i | \(-0.0597152\pi\) | |||||||
\(44\) | −2.21458 | − | 3.37114i | −0.333860 | − | 0.508218i | ||||
\(45\) | −6.70036 | + | 0.324255i | −0.998831 | + | 0.0483371i | ||||
\(46\) | 0.318363 | − | 1.74335i | 0.0469400 | − | 0.257042i | ||||
\(47\) | 3.13833 | − | 9.65878i | 0.457772 | − | 1.40888i | −0.410077 | − | 0.912051i | \(-0.634498\pi\) |
0.867849 | − | 0.496827i | \(-0.165502\pi\) | |||||||
\(48\) | −0.713488 | − | 6.89137i | −0.102983 | − | 0.994683i | ||||
\(49\) | 6.45404 | 0.922006 | ||||||||
\(50\) | −7.05416 | + | 0.488673i | −0.997609 | + | 0.0691088i | ||||
\(51\) | −2.99027 | − | 5.32701i | −0.418722 | − | 0.745930i | ||||
\(52\) | 5.93146 | − | 7.40416i | 0.822546 | − | 1.02677i | ||||
\(53\) | 11.6976 | + | 3.80078i | 1.60679 | + | 0.522077i | 0.968773 | − | 0.247948i | \(-0.0797562\pi\) |
0.638014 | + | 0.770025i | \(0.279756\pi\) | |||||||
\(54\) | 7.17630 | + | 1.58137i | 0.976571 | + | 0.215198i | ||||
\(55\) | 4.33147 | − | 1.25480i | 0.584055 | − | 0.169197i | ||||
\(56\) | −1.57839 | + | 1.36979i | −0.210921 | + | 0.183046i | ||||
\(57\) | 2.52229 | + | 4.49332i | 0.334086 | + | 0.595155i | ||||
\(58\) | 9.71600 | − | 4.66575i | 1.27577 | − | 0.612642i | ||||
\(59\) | 3.97523 | + | 2.88818i | 0.517531 | + | 0.376009i | 0.815673 | − | 0.578513i | \(-0.196367\pi\) |
−0.298142 | + | 0.954522i | \(0.596367\pi\) | |||||||
\(60\) | 7.59753 | + | 1.50916i | 0.980837 | + | 0.194832i | ||||
\(61\) | 5.09556 | − | 3.70214i | 0.652419 | − | 0.474010i | −0.211675 | − | 0.977340i | \(-0.567892\pi\) |
0.864094 | + | 0.503330i | \(0.167892\pi\) | |||||||
\(62\) | 4.79305 | − | 8.88341i | 0.608718 | − | 1.12819i | ||||
\(63\) | −0.852377 | − | 2.04623i | −0.107389 | − | 0.257801i | ||||
\(64\) | −1.12645 | + | 7.92030i | −0.140807 | + | 0.990037i | ||||
\(65\) | 5.95517 | + | 8.77728i | 0.738648 | + | 1.08869i | ||||
\(66\) | −4.93928 | + | 0.0826142i | −0.607984 | + | 0.0101691i | ||||
\(67\) | −8.81266 | + | 2.86341i | −1.07664 | + | 0.349821i | −0.793070 | − | 0.609131i | \(-0.791518\pi\) |
−0.283569 | + | 0.958952i | \(0.591518\pi\) | |||||||
\(68\) | 1.86157 | + | 6.80389i | 0.225748 | + | 0.825092i | ||||
\(69\) | −1.59529 | − | 1.47172i | −0.192051 | − | 0.177174i | ||||
\(70\) | −0.943167 | − | 2.13775i | −0.112730 | − | 0.255510i | ||||
\(71\) | 4.32943 | − | 13.3246i | 0.513808 | − | 1.58134i | −0.271631 | − | 0.962401i | \(-0.587563\pi\) |
0.785440 | − | 0.618938i | \(-0.212437\pi\) | |||||||
\(72\) | −7.59822 | − | 3.77718i | −0.895459 | − | 0.445145i | ||||
\(73\) | −4.33209 | + | 3.14745i | −0.507033 | + | 0.368381i | −0.811697 | − | 0.584079i | \(-0.801456\pi\) |
0.304664 | + | 0.952460i | \(0.401456\pi\) | |||||||
\(74\) | 1.72376 | − | 0.231558i | 0.200383 | − | 0.0269181i | ||||
\(75\) | −4.11647 | + | 7.61936i | −0.475329 | + | 0.879808i | ||||
\(76\) | −1.57023 | − | 5.73907i | −0.180118 | − | 0.658316i | ||||
\(77\) | 0.875884 | + | 1.20555i | 0.0998162 | + | 0.137385i | ||||
\(78\) | −3.77483 | − | 10.9889i | −0.427415 | − | 1.24425i | ||||
\(79\) | 14.7649 | + | 4.79739i | 1.66118 | + | 0.539749i | 0.981118 | − | 0.193410i | \(-0.0619546\pi\) |
0.680058 | + | 0.733158i | \(0.261955\pi\) | |||||||
\(80\) | −8.09033 | − | 3.81399i | −0.904527 | − | 0.426417i | ||||
\(81\) | 6.33844 | − | 6.38938i | 0.704271 | − | 0.709931i | ||||
\(82\) | −0.327316 | − | 2.43660i | −0.0361460 | − | 0.269078i | ||||
\(83\) | 0.885035 | + | 2.72386i | 0.0971453 | + | 0.298982i | 0.987807 | − | 0.155684i | \(-0.0497583\pi\) |
−0.890662 | + | 0.454667i | \(0.849758\pi\) | |||||||
\(84\) | 0.383152 | + | 2.53074i | 0.0418053 | + | 0.276127i | ||||
\(85\) | −7.88248 | − | 0.253784i | −0.854975 | − | 0.0275267i | ||||
\(86\) | 2.38769 | + | 2.50286i | 0.257471 | + | 0.269891i | ||||
\(87\) | 1.53844 | − | 13.1106i | 0.164938 | − | 1.40560i | ||||
\(88\) | 5.55693 | + | 1.28775i | 0.592371 | + | 0.137274i | ||||
\(89\) | −7.36821 | − | 10.1415i | −0.781029 | − | 1.07499i | −0.995168 | − | 0.0981907i | \(-0.968694\pi\) |
0.214139 | − | 0.976803i | \(-0.431306\pi\) | |||||||
\(90\) | 6.53973 | − | 6.87255i | 0.689348 | − | 0.724431i | ||||
\(91\) | −2.06014 | + | 2.83555i | −0.215962 | + | 0.297246i | ||||
\(92\) | 1.37605 | + | 2.09469i | 0.143463 | + | 0.218386i | ||||
\(93\) | −6.05139 | − | 10.7802i | −0.627500 | − | 1.11786i | ||||
\(94\) | 6.21735 | + | 12.9471i | 0.641271 | + | 1.33539i | ||||
\(95\) | 6.64886 | + | 0.214066i | 0.682159 | + | 0.0219627i | ||||
\(96\) | 7.45730 | + | 6.35521i | 0.761107 | + | 0.648626i | ||||
\(97\) | 2.66343 | − | 8.19720i | 0.270430 | − | 0.832299i | −0.719962 | − | 0.694013i | \(-0.755841\pi\) |
0.990392 | − | 0.138286i | \(-0.0441592\pi\) | |||||||
\(98\) | −6.60421 | + | 6.30030i | −0.667126 | + | 0.636427i | ||||
\(99\) | −3.15090 | + | 5.16497i | −0.316677 | + | 0.519099i | ||||
\(100\) | 6.74126 | − | 7.38617i | 0.674126 | − | 0.738617i | ||||
\(101\) | − | 17.6364i | − | 1.75489i | −0.479681 | − | 0.877443i | \(-0.659247\pi\) | ||
0.479681 | − | 0.877443i | \(-0.340753\pi\) | |||||||
\(102\) | 8.25996 | + | 2.53191i | 0.817858 | + | 0.250696i | ||||
\(103\) | 5.21717 | + | 1.69516i | 0.514063 | + | 0.167029i | 0.554549 | − | 0.832151i | \(-0.312891\pi\) |
−0.0404864 | + | 0.999180i | \(0.512891\pi\) | |||||||
\(104\) | 1.15832 | + | 13.3666i | 0.113582 | + | 1.31070i | ||||
\(105\) | −2.83000 | − | 0.424801i | −0.276179 | − | 0.0414563i | ||||
\(106\) | −15.6800 | + | 7.52973i | −1.52298 | + | 0.731352i | ||||
\(107\) | 6.48954 | 0.627367 | 0.313684 | − | 0.949528i | \(-0.398437\pi\) | ||||
0.313684 | + | 0.949528i | \(0.398437\pi\) | |||||||
\(108\) | −8.88697 | + | 5.38719i | −0.855149 | + | 0.518382i | ||||
\(109\) | −6.74713 | − | 4.90208i | −0.646258 | − | 0.469534i | 0.215736 | − | 0.976452i | \(-0.430785\pi\) |
−0.861994 | + | 0.506918i | \(0.830785\pi\) | |||||||
\(110\) | −3.20734 | + | 5.51228i | −0.305808 | + | 0.525575i | ||||
\(111\) | 0.889865 | − | 1.93536i | 0.0844623 | − | 0.183696i | ||||
\(112\) | 0.277955 | − | 2.94245i | 0.0262642 | − | 0.278036i | ||||
\(113\) | −2.26858 | + | 3.12244i | −0.213410 | + | 0.293734i | −0.902280 | − | 0.431152i | \(-0.858107\pi\) |
0.688869 | + | 0.724886i | \(0.258107\pi\) | |||||||
\(114\) | −6.96726 | − | 2.13566i | −0.652544 | − | 0.200023i | ||||
\(115\) | −2.69140 | + | 0.779680i | −0.250974 | + | 0.0727055i | ||||
\(116\) | −5.38745 | + | 14.2589i | −0.500212 | + | 1.32390i | ||||
\(117\) | −13.8440 | − | 3.29436i | −1.27988 | − | 0.304564i | ||||
\(118\) | −6.88710 | + | 0.925165i | −0.634009 | + | 0.0851684i | ||||
\(119\) | −0.805311 | − | 2.47849i | −0.0738228 | − | 0.227203i | ||||
\(120\) | −9.24751 | + | 5.87227i | −0.844178 | + | 0.536063i | ||||
\(121\) | −2.14234 | + | 6.59346i | −0.194759 | + | 0.599405i | ||||
\(122\) | −1.60016 | + | 8.76245i | −0.144872 | + | 0.793315i | ||||
\(123\) | −2.73570 | − | 1.25786i | −0.246670 | − | 0.113417i | ||||
\(124\) | 3.76724 | + | 13.7690i | 0.338308 | + | 1.23649i | ||||
\(125\) | 5.66904 | + | 9.63649i | 0.507055 | + | 0.861914i | ||||
\(126\) | 2.86969 | + | 1.26177i | 0.255653 | + | 0.112407i | ||||
\(127\) | −1.06653 | − | 1.46796i | −0.0946396 | − | 0.130260i | 0.759071 | − | 0.651008i | \(-0.225653\pi\) |
−0.853711 | + | 0.520747i | \(0.825653\pi\) | |||||||
\(128\) | −6.57897 | − | 9.20420i | −0.581504 | − | 0.813544i | ||||
\(129\) | 4.15429 | − | 0.830661i | 0.365765 | − | 0.0731356i | ||||
\(130\) | −14.6619 | − | 3.16818i | −1.28594 | − | 0.277868i | ||||
\(131\) | 5.48334 | + | 16.8760i | 0.479082 | + | 1.47446i | 0.840373 | + | 0.542009i | \(0.182336\pi\) |
−0.361291 | + | 0.932453i | \(0.617664\pi\) | |||||||
\(132\) | 4.97356 | − | 4.90616i | 0.432893 | − | 0.427027i | ||||
\(133\) | 0.679279 | + | 2.09061i | 0.0589010 | + | 0.181278i | ||||
\(134\) | 6.22251 | − | 11.5328i | 0.537543 | − | 0.996279i | ||||
\(135\) | −2.82621 | − | 11.2700i | −0.243241 | − | 0.969966i | ||||
\(136\) | −8.54669 | − | 5.14497i | −0.732872 | − | 0.441177i | ||||
\(137\) | −2.75560 | + | 3.79276i | −0.235427 | + | 0.324037i | −0.910341 | − | 0.413859i | \(-0.864181\pi\) |
0.674914 | + | 0.737896i | \(0.264181\pi\) | |||||||
\(138\) | 3.06907 | − | 0.0513331i | 0.261257 | − | 0.00436976i | ||||
\(139\) | −12.4665 | − | 17.1586i | −1.05739 | − | 1.45538i | −0.882219 | − | 0.470840i | \(-0.843951\pi\) |
−0.175175 | − | 0.984537i | \(-0.556049\pi\) | |||||||
\(140\) | 3.05194 | + | 1.26679i | 0.257936 | + | 0.107063i | ||||
\(141\) | 17.4706 | + | 2.05006i | 1.47129 | + | 0.172646i | ||||
\(142\) | 8.57704 | + | 17.8609i | 0.719769 | + | 1.49886i | ||||
\(143\) | 9.56642 | 0.799984 | ||||||||
\(144\) | 11.4622 | − | 3.55216i | 0.955184 | − | 0.296013i | ||||
\(145\) | −13.4577 | − | 10.4554i | −1.11760 | − | 0.868275i | ||||
\(146\) | 1.36041 | − | 7.44957i | 0.112588 | − | 0.616531i | ||||
\(147\) | 2.19183 | + | 10.9617i | 0.180779 | + | 0.904110i | ||||
\(148\) | −1.53783 | + | 1.91965i | −0.126409 | + | 0.157794i | ||||
\(149\) | − | 4.19467i | − | 0.343641i | −0.985128 | − | 0.171820i | \(-0.945035\pi\) | ||
0.985128 | − | 0.171820i | \(-0.0549649\pi\) | |||||||
\(150\) | −3.22561 | − | 11.8151i | −0.263370 | − | 0.964695i | ||||
\(151\) | 1.91066i | 0.155487i | 0.996973 | + | 0.0777437i | \(0.0247716\pi\) | ||||
−0.996973 | + | 0.0777437i | \(0.975228\pi\) | |||||||
\(152\) | 7.20912 | + | 4.33977i | 0.584737 | + | 0.352002i | ||||
\(153\) | 8.03204 | − | 6.88785i | 0.649352 | − | 0.556850i | ||||
\(154\) | −2.07310 | − | 0.378580i | −0.167055 | − | 0.0305069i | ||||
\(155\) | −15.9517 | − | 0.513581i | −1.28127 | − | 0.0412518i | ||||
\(156\) | 14.5898 | + | 7.55968i | 1.16812 | + | 0.605259i | ||||
\(157\) | −20.1739 | −1.61006 | −0.805028 | − | 0.593237i | \(-0.797850\pi\) | ||||
−0.805028 | + | 0.593237i | \(0.797850\pi\) | |||||||
\(158\) | −19.7915 | + | 9.50413i | −1.57453 | + | 0.756108i | ||||
\(159\) | −2.48279 | + | 21.1583i | −0.196898 | + | 1.67796i | ||||
\(160\) | 12.0017 | − | 3.99488i | 0.948818 | − | 0.315823i | ||||
\(161\) | −0.544239 | − | 0.749080i | −0.0428920 | − | 0.0590358i | ||||
\(162\) | −0.248739 | + | 12.7255i | −0.0195428 | + | 0.999809i | ||||
\(163\) | 0.834692 | − | 1.14885i | 0.0653781 | − | 0.0899853i | −0.775076 | − | 0.631868i | \(-0.782288\pi\) |
0.840454 | + | 0.541883i | \(0.182288\pi\) | |||||||
\(164\) | 2.71349 | + | 2.17378i | 0.211888 | + | 0.169743i | ||||
\(165\) | 3.60218 | + | 6.93056i | 0.280429 | + | 0.539544i | ||||
\(166\) | −3.56460 | − | 1.92328i | −0.276667 | − | 0.149276i | ||||
\(167\) | 3.66202 | + | 11.2705i | 0.283376 | + | 0.872140i | 0.986881 | + | 0.161450i | \(0.0516171\pi\) |
−0.703505 | + | 0.710690i | \(0.748383\pi\) | |||||||
\(168\) | −2.86253 | − | 2.21560i | −0.220849 | − | 0.170937i | ||||
\(169\) | 2.93595 | + | 9.03593i | 0.225842 | + | 0.695071i | ||||
\(170\) | 8.31361 | − | 7.43502i | 0.637625 | − | 0.570240i | ||||
\(171\) | −6.77501 | + | 5.80989i | −0.518098 | + | 0.444294i | ||||
\(172\) | −4.88649 | − | 0.230285i | −0.372591 | − | 0.0175591i | ||||
\(173\) | 0.315397 | + | 0.434107i | 0.0239792 | + | 0.0330046i | 0.820838 | − | 0.571161i | \(-0.193507\pi\) |
−0.796859 | + | 0.604165i | \(0.793507\pi\) | |||||||
\(174\) | 11.2241 | + | 14.9174i | 0.850893 | + | 1.13089i | ||||
\(175\) | −2.35930 | + | 2.84299i | −0.178346 | + | 0.214910i | ||||
\(176\) | −6.94330 | + | 4.10685i | −0.523371 | + | 0.309566i | ||||
\(177\) | −3.55536 | + | 7.73250i | −0.267237 | + | 0.581211i | ||||
\(178\) | 17.4395 | + | 3.18474i | 1.30715 | + | 0.238706i | ||||
\(179\) | 2.22699 | − | 6.85397i | 0.166453 | − | 0.512290i | −0.832687 | − | 0.553743i | \(-0.813199\pi\) |
0.999140 | + | 0.0414537i | \(0.0131989\pi\) | |||||||
\(180\) | 0.0169574 | + | 13.4164i | 0.00126393 | + | 0.999999i | ||||
\(181\) | −3.38179 | − | 10.4081i | −0.251366 | − | 0.773626i | −0.994524 | − | 0.104509i | \(-0.966673\pi\) |
0.743158 | − | 0.669116i | \(-0.233327\pi\) | |||||||
\(182\) | −0.659923 | − | 4.91259i | −0.0489167 | − | 0.364145i | ||||
\(183\) | 8.01831 | + | 7.39718i | 0.592730 | + | 0.546815i | ||||
\(184\) | −3.45285 | − | 0.800155i | −0.254548 | − | 0.0589882i | ||||
\(185\) | −1.54397 | − | 2.27565i | −0.113515 | − | 0.167309i | ||||
\(186\) | 16.7156 | + | 5.12380i | 1.22565 | + | 0.375695i | ||||
\(187\) | −4.18091 | + | 5.75453i | −0.305738 | + | 0.420813i | ||||
\(188\) | −19.0007 | − | 7.17907i | −1.38577 | − | 0.523587i | ||||
\(189\) | 3.18591 | − | 2.14261i | 0.231741 | − | 0.155852i | ||||
\(190\) | −7.01252 | + | 6.27143i | −0.508742 | + | 0.454977i | ||||
\(191\) | −6.33074 | − | 4.59955i | −0.458076 | − | 0.332812i | 0.334700 | − | 0.942325i | \(-0.391365\pi\) |
−0.792776 | + | 0.609513i | \(0.791365\pi\) | |||||||
\(192\) | −13.8346 | + | 0.776576i | −0.998428 | + | 0.0560446i | ||||
\(193\) | 1.83318 | 0.131955 | 0.0659777 | − | 0.997821i | \(-0.478983\pi\) | ||||
0.0659777 | + | 0.997821i | \(0.478983\pi\) | |||||||
\(194\) | 5.27653 | + | 10.9879i | 0.378833 | + | 0.788885i | ||||
\(195\) | −12.8852 | + | 13.0953i | −0.922728 | + | 0.937771i | ||||
\(196\) | 0.607644 | − | 12.8938i | 0.0434031 | − | 0.920984i | ||||
\(197\) | 10.0262 | + | 3.25772i | 0.714340 | + | 0.232103i | 0.643567 | − | 0.765389i | \(-0.277454\pi\) |
0.0707724 | + | 0.997492i | \(0.477454\pi\) | |||||||
\(198\) | −1.81772 | − | 8.36098i | −0.129180 | − | 0.594189i | ||||
\(199\) | − | 19.8686i | − | 1.40845i | −0.709978 | − | 0.704223i | \(-0.751295\pi\) | ||
0.709978 | − | 0.704223i | \(-0.248705\pi\) | |||||||
\(200\) | 0.312118 | + | 14.1387i | 0.0220701 | + | 0.999756i | ||||
\(201\) | −7.85613 | − | 13.9953i | −0.554129 | − | 0.987150i | ||||
\(202\) | 17.2163 | + | 18.0467i | 1.21133 | + | 1.26976i | ||||
\(203\) | 1.74017 | − | 5.35570i | 0.122136 | − | 0.375897i | ||||
\(204\) | −10.9237 | + | 5.47238i | −0.764814 | + | 0.383143i | ||||
\(205\) | −3.21672 | + | 2.18247i | −0.224665 | + | 0.152430i | ||||
\(206\) | −6.99333 | + | 3.35829i | −0.487249 | + | 0.233983i | ||||
\(207\) | 1.95784 | − | 3.20930i | 0.136079 | − | 0.223062i | ||||
\(208\) | −14.2335 | − | 12.5469i | −0.986912 | − | 0.869969i | ||||
\(209\) | 3.52659 | − | 4.85393i | 0.243939 | − | 0.335754i | ||||
\(210\) | 3.31052 | − | 2.32790i | 0.228448 | − | 0.160640i | ||||
\(211\) | 13.5197 | + | 18.6083i | 0.930737 | + | 1.28105i | 0.959571 | + | 0.281465i | \(0.0908205\pi\) |
−0.0288343 | + | 0.999584i | \(0.509180\pi\) | |||||||
\(212\) | 8.69445 | − | 23.0114i | 0.597137 | − | 1.58043i | ||||
\(213\) | 24.1012 | + | 2.82812i | 1.65139 | + | 0.193780i | ||||
\(214\) | −6.64053 | + | 6.33495i | −0.453937 | + | 0.433048i | ||||
\(215\) | 1.85662 | − | 5.14456i | 0.126621 | − | 0.350856i | ||||
\(216\) | 3.83488 | − | 14.1878i | 0.260931 | − | 0.965358i | ||||
\(217\) | −1.62970 | − | 5.01571i | −0.110631 | − | 0.340488i | ||||
\(218\) | 11.6894 | − | 1.57028i | 0.791708 | − | 0.106352i | ||||
\(219\) | −6.81692 | − | 6.28886i | −0.460645 | − | 0.424962i | ||||
\(220\) | −2.09901 | − | 8.77147i | −0.141515 | − | 0.591372i | ||||
\(221\) | −15.9114 | − | 5.16994i | −1.07032 | − | 0.347768i | ||||
\(222\) | 0.978686 | + | 2.84905i | 0.0656851 | + | 0.191216i | ||||
\(223\) | −11.1078 | − | 15.2886i | −0.743833 | − | 1.02380i | −0.998389 | − | 0.0567398i | \(-0.981929\pi\) |
0.254556 | − | 0.967058i | \(-0.418071\pi\) | |||||||
\(224\) | 2.58794 | + | 3.28225i | 0.172914 | + | 0.219304i | ||||
\(225\) | −14.3389 | − | 4.40396i | −0.955929 | − | 0.293598i | ||||
\(226\) | −0.726691 | − | 5.40963i | −0.0483388 | − | 0.359843i | ||||
\(227\) | −18.1376 | + | 13.1778i | −1.20384 | + | 0.874639i | −0.994657 | − | 0.103238i | \(-0.967080\pi\) |
−0.209181 | + | 0.977877i | \(0.567080\pi\) | |||||||
\(228\) | 9.21415 | − | 4.61594i | 0.610222 | − | 0.305698i | ||||
\(229\) | 6.33083 | − | 19.4843i | 0.418353 | − | 1.28756i | −0.490864 | − | 0.871236i | \(-0.663319\pi\) |
0.909217 | − | 0.416322i | \(-0.136681\pi\) | |||||||
\(230\) | 1.99291 | − | 3.42511i | 0.131409 | − | 0.225845i | ||||
\(231\) | −1.75009 | + | 1.89704i | −0.115147 | + | 0.124816i | ||||
\(232\) | −8.40639 | − | 19.8497i | −0.551907 | − | 1.30320i | ||||
\(233\) | 5.52727 | − | 1.79592i | 0.362104 | − | 0.117655i | −0.122314 | − | 0.992491i | \(-0.539032\pi\) |
0.484418 | + | 0.874837i | \(0.339032\pi\) | |||||||
\(234\) | 17.3820 | − | 10.1432i | 1.13629 | − | 0.663081i | ||||
\(235\) | 13.9324 | − | 17.9330i | 0.908849 | − | 1.16982i | ||||
\(236\) | 6.14422 | − | 7.66974i | 0.399954 | − | 0.499257i | ||||
\(237\) | −3.13381 | + | 26.7063i | −0.203563 | + | 1.73476i | ||||
\(238\) | 3.24350 | + | 1.75003i | 0.210245 | + | 0.113438i | ||||
\(239\) | 9.85377 | − | 7.15919i | 0.637388 | − | 0.463089i | −0.221564 | − | 0.975146i | \(-0.571116\pi\) |
0.858952 | + | 0.512057i | \(0.171116\pi\) | |||||||
\(240\) | 3.73028 | − | 15.0361i | 0.240788 | − | 0.970578i | ||||
\(241\) | 9.23220 | + | 6.70758i | 0.594698 | + | 0.432074i | 0.843993 | − | 0.536354i | \(-0.180199\pi\) |
−0.249295 | + | 0.968428i | \(0.580199\pi\) | |||||||
\(242\) | −4.24421 | − | 8.83818i | −0.272828 | − | 0.568140i | ||||
\(243\) | 13.0045 | + | 8.59554i | 0.834238 | + | 0.551404i | ||||
\(244\) | −6.91632 | − | 10.5284i | −0.442772 | − | 0.674010i | ||||
\(245\) | 13.5747 | + | 4.89900i | 0.867258 | + | 0.312985i | ||||
\(246\) | 4.02725 | − | 1.38341i | 0.256768 | − | 0.0882029i | ||||
\(247\) | 13.4213 | + | 4.36084i | 0.853975 | + | 0.277473i | ||||
\(248\) | −17.2959 | − | 10.4118i | −1.09829 | − | 0.661152i | ||||
\(249\) | −4.32572 | + | 2.42821i | −0.274132 | + | 0.153882i | ||||
\(250\) | −15.2079 | − | 4.32670i | −0.961831 | − | 0.273645i | ||||
\(251\) | −24.5997 | −1.55272 | −0.776358 | − | 0.630292i | \(-0.782935\pi\) | ||||
−0.776358 | + | 0.630292i | \(0.782935\pi\) | |||||||
\(252\) | −4.16817 | + | 1.51021i | −0.262570 | + | 0.0951345i | ||||
\(253\) | −0.780951 | + | 2.40352i | −0.0490979 | + | 0.151108i | ||||
\(254\) | 2.52434 | + | 0.460985i | 0.158391 | + | 0.0289248i | ||||
\(255\) | −2.24590 | − | 13.4740i | −0.140644 | − | 0.843777i | ||||
\(256\) | 15.7170 | + | 2.99610i | 0.982311 | + | 0.187256i | ||||
\(257\) | − | 2.38653i | − | 0.148868i | −0.997226 | − | 0.0744339i | \(-0.976285\pi\) | ||
0.997226 | − | 0.0744339i | \(-0.0237150\pi\) | |||||||
\(258\) | −3.44007 | + | 4.90532i | −0.214169 | + | 0.305392i | ||||
\(259\) | 0.534126 | − | 0.735161i | 0.0331890 | − | 0.0456807i | ||||
\(260\) | 18.0958 | − | 11.0708i | 1.12225 | − | 0.686580i | ||||
\(261\) | 22.7899 | − | 1.83950i | 1.41066 | − | 0.113862i | ||||
\(262\) | −22.0849 | − | 11.9159i | −1.36441 | − | 0.736168i | ||||
\(263\) | −12.4762 | − | 9.06451i | −0.769318 | − | 0.558942i | 0.132436 | − | 0.991191i | \(-0.457720\pi\) |
−0.901754 | + | 0.432250i | \(0.857720\pi\) | |||||||
\(264\) | −0.299985 | + | 9.87540i | −0.0184628 | + | 0.607789i | ||||
\(265\) | 21.7184 | + | 16.8733i | 1.33415 | + | 1.03652i | ||||
\(266\) | −2.73589 | − | 1.47615i | −0.167748 | − | 0.0905085i | ||||
\(267\) | 14.7223 | − | 15.9585i | 0.900990 | − | 0.976644i | ||||
\(268\) | 4.89076 | + | 17.8754i | 0.298751 | + | 1.09191i | ||||
\(269\) | −21.7376 | + | 7.06297i | −1.32536 | + | 0.430637i | −0.884334 | − | 0.466855i | \(-0.845387\pi\) |
−0.441031 | + | 0.897492i | \(0.645387\pi\) | |||||||
\(270\) | 13.8935 | + | 8.77332i | 0.845531 | + | 0.533927i | ||||
\(271\) | 16.1471 | + | 5.24650i | 0.980865 | + | 0.318702i | 0.755194 | − | 0.655501i | \(-0.227543\pi\) |
0.225671 | + | 0.974204i | \(0.427543\pi\) | |||||||
\(272\) | 13.7680 | − | 3.07842i | 0.834805 | − | 0.186657i | ||||
\(273\) | −5.51562 | − | 2.53605i | −0.333820 | − | 0.153488i | ||||
\(274\) | −0.882696 | − | 6.57096i | −0.0533256 | − | 0.396966i | ||||
\(275\) | 10.0628 | + | 0.648635i | 0.606810 | + | 0.0391142i | ||||
\(276\) | −3.09037 | + | 3.04849i | −0.186018 | + | 0.183498i | ||||
\(277\) | −12.5971 | + | 9.15236i | −0.756889 | + | 0.549912i | −0.897955 | − | 0.440088i | \(-0.854947\pi\) |
0.141065 | + | 0.990000i | \(0.454947\pi\) | |||||||
\(278\) | 29.5064 | + | 5.38835i | 1.76968 | + | 0.323172i | ||||
\(279\) | 16.2544 | − | 13.9389i | 0.973124 | − | 0.834500i | ||||
\(280\) | −4.35957 | + | 1.68298i | −0.260534 | + | 0.100577i | ||||
\(281\) | −5.62578 | + | 1.82793i | −0.335606 | + | 0.109045i | −0.471972 | − | 0.881614i | \(-0.656458\pi\) |
0.136366 | + | 0.990659i | \(0.456458\pi\) | |||||||
\(282\) | −19.8783 | + | 14.9566i | −1.18373 | + | 0.890656i | ||||
\(283\) | −29.2694 | + | 9.51022i | −1.73989 | + | 0.565324i | −0.994819 | − | 0.101664i | \(-0.967583\pi\) |
−0.745069 | + | 0.666988i | \(0.767583\pi\) | |||||||
\(284\) | −26.2121 | − | 9.90376i | −1.55540 | − | 0.587680i | ||||
\(285\) | 1.89441 | + | 11.3653i | 0.112215 | + | 0.673224i | ||||
\(286\) | −9.78900 | + | 9.33854i | −0.578836 | + | 0.552199i | ||||
\(287\) | −1.03918 | − | 0.755007i | −0.0613407 | − | 0.0445666i | ||||
\(288\) | −8.26135 | + | 14.8240i | −0.486805 | + | 0.873511i | ||||
\(289\) | −3.68946 | + | 2.68055i | −0.217027 | + | 0.157680i | ||||
\(290\) | 23.9771 | − | 2.43841i | 1.40799 | − | 0.143188i | ||||
\(291\) | 14.8269 | + | 1.73984i | 0.869168 | + | 0.101991i | ||||
\(292\) | 5.88005 | + | 8.95090i | 0.344104 | + | 0.523812i | ||||
\(293\) | 12.0125i | 0.701776i | 0.936417 | + | 0.350888i | \(0.114120\pi\) | ||||
−0.936417 | + | 0.350888i | \(0.885880\pi\) | |||||||
\(294\) | −12.9435 | − | 9.07717i | −0.754878 | − | 0.529391i | ||||
\(295\) | 6.16878 | + | 9.09211i | 0.359160 | + | 0.529363i | ||||
\(296\) | −0.300312 | − | 3.46551i | −0.0174553 | − | 0.201428i | ||||
\(297\) | −9.84240 | − | 3.59753i | −0.571114 | − | 0.208750i | ||||
\(298\) | 4.09475 | + | 4.29227i | 0.237202 | + | 0.248644i | ||||
\(299\) | −5.94419 | −0.343761 | ||||||||
\(300\) | 14.8343 | + | 8.94117i | 0.856457 | + | 0.516219i | ||||
\(301\) | 1.80729 | 0.104170 | ||||||||
\(302\) | −1.86515 | − | 1.95511i | −0.107327 | − | 0.112504i | ||||
\(303\) | 29.9542 | − | 5.98942i | 1.72082 | − | 0.344083i | ||||
\(304\) | −11.6132 | + | 2.59665i | −0.666065 | + | 0.148928i | ||||
\(305\) | 13.5276 | − | 3.91885i | 0.774587 | − | 0.224392i | ||||
\(306\) | −1.49514 | + | 14.8888i | −0.0854715 | + | 0.851137i | ||||
\(307\) | 24.1269i | 1.37700i | 0.725239 | + | 0.688498i | \(0.241729\pi\) | ||||
−0.725239 | + | 0.688498i | \(0.758271\pi\) | |||||||
\(308\) | 2.49089 | − | 1.63632i | 0.141932 | − | 0.0932382i | ||||
\(309\) | −1.10733 | + | 9.43668i | −0.0629939 | + | 0.536834i | ||||
\(310\) | 16.8242 | − | 15.0462i | 0.955550 | − | 0.854566i | ||||
\(311\) | 15.0379 | − | 10.9257i | 0.852720 | − | 0.619537i | −0.0731745 | − | 0.997319i | \(-0.523313\pi\) |
0.925895 | + | 0.377782i | \(0.123313\pi\) | |||||||
\(312\) | −22.3089 | + | 6.50669i | −1.26299 | + | 0.368369i | ||||
\(313\) | −1.95261 | − | 1.41866i | −0.110368 | − | 0.0801872i | 0.531232 | − | 0.847226i | \(-0.321729\pi\) |
−0.641600 | + | 0.767039i | \(0.721729\pi\) | |||||||
\(314\) | 20.6433 | − | 19.6934i | 1.16497 | − | 1.11136i | ||||
\(315\) | −0.239588 | − | 4.95082i | −0.0134993 | − | 0.278947i | ||||
\(316\) | 10.9742 | − | 29.0453i | 0.617350 | − | 1.63393i | ||||
\(317\) | 11.1398 | − | 3.61953i | 0.625671 | − | 0.203293i | 0.0210145 | − | 0.999779i | \(-0.493310\pi\) |
0.604657 | + | 0.796486i | \(0.293310\pi\) | |||||||
\(318\) | −18.1137 | − | 24.0742i | −1.01577 | − | 1.35002i | ||||
\(319\) | −14.6180 | + | 4.74967i | −0.818449 | + | 0.265930i | ||||
\(320\) | −8.38123 | + | 15.8036i | −0.468525 | + | 0.883450i | ||||
\(321\) | 2.20388 | + | 11.0220i | 0.123009 | + | 0.615190i | ||||
\(322\) | 1.28814 | + | 0.235235i | 0.0717851 | + | 0.0131091i | ||||
\(323\) | −8.48882 | + | 6.16749i | −0.472331 | + | 0.343168i | ||||
\(324\) | −12.1678 | − | 13.2644i | −0.675991 | − | 0.736910i | ||||
\(325\) | 5.86299 | + | 22.9815i | 0.325220 | + | 1.27478i | ||||
\(326\) | 0.267376 | + | 1.99039i | 0.0148086 | + | 0.110238i | ||||
\(327\) | 6.03448 | − | 13.1243i | 0.333707 | − | 0.725776i | ||||
\(328\) | −4.89862 | + | 0.424502i | −0.270481 | + | 0.0234392i | ||||
\(329\) | 7.13676 | + | 2.31887i | 0.393462 | + | 0.127844i | ||||
\(330\) | −10.4515 | − | 3.57544i | −0.575334 | − | 0.196822i | ||||
\(331\) | 10.7215 | − | 3.48361i | 0.589305 | − | 0.191477i | 0.000840117 | − | 1.00000i | \(-0.499733\pi\) |
0.588465 | + | 0.808523i | \(0.299733\pi\) | |||||||
\(332\) | 5.52500 | − | 1.51166i | 0.303224 | − | 0.0829631i | ||||
\(333\) | 3.58927 | + | 0.854116i | 0.196691 | + | 0.0468053i | ||||
\(334\) | −14.7493 | − | 7.95798i | −0.807045 | − | 0.435441i | ||||
\(335\) | −20.7091 | − | 0.666749i | −1.13146 | − | 0.0364284i | ||||
\(336\) | 5.09195 | − | 0.527187i | 0.277789 | − | 0.0287604i | ||||
\(337\) | 27.8332 | + | 20.2220i | 1.51617 | + | 1.10156i | 0.963344 | + | 0.268269i | \(0.0864517\pi\) |
0.552829 | + | 0.833295i | \(0.313548\pi\) | |||||||
\(338\) | −11.8249 | − | 6.38015i | −0.643192 | − | 0.347034i | ||||
\(339\) | −6.07367 | − | 2.79263i | −0.329876 | − | 0.151675i | ||||
\(340\) | −1.24913 | + | 15.7236i | −0.0677438 | + | 0.852731i | ||||
\(341\) | −8.46087 | + | 11.6454i | −0.458182 | + | 0.630633i | ||||
\(342\) | 1.26115 | − | 12.5587i | 0.0681951 | − | 0.679097i | ||||
\(343\) | 9.94103i | 0.536765i | ||||||||
\(344\) | 5.22498 | − | 4.53444i | 0.281712 | − | 0.244481i | ||||
\(345\) | −2.23825 | − | 4.30637i | −0.120503 | − | 0.231847i | ||||
\(346\) | −0.746502 | − | 0.136323i | −0.0401322 | − | 0.00732878i | ||||
\(347\) | −1.05592 | + | 3.24978i | −0.0566846 | + | 0.174457i | −0.975390 | − | 0.220486i | \(-0.929236\pi\) |
0.918706 | + | 0.394943i | \(0.129236\pi\) | |||||||
\(348\) | −26.0473 | − | 4.30783i | −1.39628 | − | 0.230924i | ||||
\(349\) | 8.80176 | 0.471147 | 0.235574 | − | 0.971857i | \(-0.424303\pi\) | ||||
0.235574 | + | 0.971857i | \(0.424303\pi\) | |||||||
\(350\) | −0.361075 | − | 5.21224i | −0.0193003 | − | 0.278606i | ||||
\(351\) | 0.893749 | − | 24.6318i | 0.0477048 | − | 1.31475i | ||||
\(352\) | 3.09582 | − | 10.9803i | 0.165008 | − | 0.585252i | ||||
\(353\) | −6.16148 | − | 2.00199i | −0.327943 | − | 0.106555i | 0.140418 | − | 0.990092i | \(-0.455155\pi\) |
−0.468361 | + | 0.883537i | \(0.655155\pi\) | |||||||
\(354\) | −3.91023 | − | 11.3831i | −0.207826 | − | 0.605004i | ||||
\(355\) | 19.2202 | − | 24.7392i | 1.02010 | − | 1.31302i | ||||
\(356\) | −20.9542 | + | 13.7653i | −1.11057 | + | 0.729558i | ||||
\(357\) | 3.93606 | − | 2.20948i | 0.208318 | − | 0.116938i | ||||
\(358\) | 4.41190 | + | 9.18738i | 0.233176 | + | 0.485568i | ||||
\(359\) | −16.1179 | − | 11.7103i | −0.850668 | − | 0.618046i | 0.0746622 | − | 0.997209i | \(-0.476212\pi\) |
−0.925330 | + | 0.379162i | \(0.876212\pi\) | |||||||
\(360\) | −13.1142 | − | 13.7120i | −0.691177 | − | 0.722686i | ||||
\(361\) | −8.21101 | + | 5.96565i | −0.432159 | + | 0.313982i | ||||
\(362\) | 13.6206 | + | 7.34900i | 0.715883 | + | 0.386255i | ||||
\(363\) | −11.9261 | − | 1.39945i | −0.625957 | − | 0.0734520i | ||||
\(364\) | 5.47084 | + | 4.38269i | 0.286750 | + | 0.229715i | ||||
\(365\) | −11.5007 | + | 3.33169i | −0.601976 | + | 0.174388i | ||||
\(366\) | −15.4258 | + | 0.258012i | −0.806322 | + | 0.0134865i | ||||
\(367\) | −18.0898 | + | 5.87772i | −0.944278 | + | 0.306814i | −0.740388 | − | 0.672179i | \(-0.765358\pi\) |
−0.203890 | + | 0.978994i | \(0.565358\pi\) | |||||||
\(368\) | 4.31428 | − | 2.55183i | 0.224898 | − | 0.133023i | ||||
\(369\) | 1.20733 | − | 5.07357i | 0.0628508 | − | 0.264120i | ||||
\(370\) | 3.80134 | + | 0.821403i | 0.197622 | + | 0.0427027i | ||||
\(371\) | −2.80835 | + | 8.64321i | −0.145802 | + | 0.448733i | ||||
\(372\) | −22.1063 | + | 11.0744i | −1.14616 | + | 0.574182i | ||||
\(373\) | 0.455607 | − | 0.331018i | 0.0235904 | − | 0.0171395i | −0.575928 | − | 0.817501i | \(-0.695359\pi\) |
0.599518 | + | 0.800361i | \(0.295359\pi\) | |||||||
\(374\) | −1.33926 | − | 9.96973i | −0.0692517 | − | 0.515522i | ||||
\(375\) | −14.4417 | + | 12.9011i | −0.745765 | + | 0.666209i | ||||
\(376\) | 26.4508 | − | 11.2020i | 1.36410 | − | 0.577697i | ||||
\(377\) | −21.2496 | − | 29.2476i | −1.09441 | − | 1.50633i | ||||
\(378\) | −1.16846 | + | 5.30248i | −0.0600989 | + | 0.272730i | ||||
\(379\) | −14.3712 | − | 4.66948i | −0.738199 | − | 0.239855i | −0.0843032 | − | 0.996440i | \(-0.526866\pi\) |
−0.653896 | + | 0.756585i | \(0.726866\pi\) | |||||||
\(380\) | 1.05364 | − | 13.2628i | 0.0540508 | − | 0.680368i | ||||
\(381\) | 2.13103 | − | 2.30996i | 0.109176 | − | 0.118343i | ||||
\(382\) | 10.9680 | − | 1.47337i | 0.561173 | − | 0.0753840i | ||||
\(383\) | 2.52352 | + | 7.76661i | 0.128946 | + | 0.396855i | 0.994599 | − | 0.103789i | \(-0.0330966\pi\) |
−0.865653 | + | 0.500644i | \(0.833097\pi\) | |||||||
\(384\) | 13.3984 | − | 14.2997i | 0.683736 | − | 0.729729i | ||||
\(385\) | 0.927154 | + | 3.20047i | 0.0472522 | + | 0.163111i | ||||
\(386\) | −1.87584 | + | 1.78951i | −0.0954775 | + | 0.0910839i | ||||
\(387\) | 2.82164 | + | 6.77367i | 0.143432 | + | 0.344325i | ||||
\(388\) | −16.1255 | − | 6.09272i | −0.818646 | − | 0.309311i | ||||
\(389\) | 2.11053 | + | 2.90489i | 0.107008 | + | 0.147284i | 0.859162 | − | 0.511703i | \(-0.170985\pi\) |
−0.752154 | + | 0.658987i | \(0.770985\pi\) | |||||||
\(390\) | 0.401667 | − | 25.9782i | 0.0203392 | − | 1.31546i | ||||
\(391\) | 2.59785 | − | 3.57563i | 0.131379 | − | 0.180827i | ||||
\(392\) | 11.9649 | + | 13.7869i | 0.604316 | + | 0.696346i | ||||
\(393\) | −26.8005 | + | 15.0443i | −1.35191 | + | 0.758883i | ||||
\(394\) | −13.4396 | + | 6.45388i | −0.677079 | + | 0.325142i | ||||
\(395\) | 27.4133 | + | 21.2977i | 1.37931 | + | 1.07160i | ||||
\(396\) | 10.0218 | + | 6.78109i | 0.503616 | + | 0.340762i | ||||
\(397\) | 7.18092 | − | 22.1006i | 0.360400 | − | 1.10920i | −0.592412 | − | 0.805635i | \(-0.701824\pi\) |
0.952812 | − | 0.303561i | \(-0.0981758\pi\) | |||||||
\(398\) | 19.3953 | + | 20.3309i | 0.972199 | + | 1.01909i | ||||
\(399\) | −3.32006 | + | 1.86369i | −0.166211 | + | 0.0933012i | ||||
\(400\) | −14.1213 | − | 14.1630i | −0.706064 | − | 0.708148i | ||||
\(401\) | 19.9923i | 0.998366i | 0.866497 | + | 0.499183i | \(0.166366\pi\) | ||||
−0.866497 | + | 0.499183i | \(0.833634\pi\) | |||||||
\(402\) | 21.7008 | + | 6.65190i | 1.08234 | + | 0.331767i | ||||
\(403\) | −32.1998 | − | 10.4624i | −1.60399 | − | 0.521168i | ||||
\(404\) | −35.2337 | − | 1.66045i | −1.75294 | − | 0.0826106i | ||||
\(405\) | 18.1815 | − | 8.62747i | 0.903446 | − | 0.428702i | ||||
\(406\) | 3.44746 | + | 7.17903i | 0.171095 | + | 0.356289i | ||||
\(407\) | −2.48025 | −0.122941 | ||||||||
\(408\) | 5.83587 | − | 16.2632i | 0.288919 | − | 0.805149i | ||||
\(409\) | 0.968333 | + | 0.703535i | 0.0478810 | + | 0.0347876i | 0.611468 | − | 0.791269i | \(-0.290579\pi\) |
−0.563587 | + | 0.826056i | \(0.690579\pi\) | |||||||
\(410\) | 1.16108 | − | 5.37334i | 0.0573418 | − | 0.265370i | ||||
\(411\) | −7.37755 | − | 3.39215i | −0.363908 | − | 0.167322i | ||||
\(412\) | 3.87775 | − | 10.2632i | 0.191043 | − | 0.505630i | ||||
\(413\) | −2.13404 | + | 2.93725i | −0.105009 | + | 0.144533i | ||||
\(414\) | 1.12946 | + | 5.19517i | 0.0555099 | + | 0.255329i | ||||
\(415\) | −0.206082 | + | 6.40086i | −0.0101162 | + | 0.314206i | ||||
\(416\) | 26.8126 | − | 1.05561i | 1.31460 | − | 0.0517555i | ||||
\(417\) | 24.9091 | − | 27.0006i | 1.21980 | − | 1.32223i | ||||
\(418\) | 1.12967 | + | 8.40945i | 0.0552538 | + | 0.411320i | ||||
\(419\) | 7.01031 | + | 21.5755i | 0.342476 | + | 1.05403i | 0.962921 | + | 0.269783i | \(0.0869519\pi\) |
−0.620445 | + | 0.784250i | \(0.713048\pi\) | |||||||
\(420\) | −1.11510 | + | 5.61372i | −0.0544114 | + | 0.273922i | ||||
\(421\) | −5.11841 | + | 15.7529i | −0.249456 | + | 0.767747i | 0.745415 | + | 0.666600i | \(0.232251\pi\) |
−0.994871 | + | 0.101147i | \(0.967749\pi\) | |||||||
\(422\) | −31.9993 | − | 5.84359i | −1.55770 | − | 0.284462i | ||||
\(423\) | 2.45123 | + | 30.3688i | 0.119183 | + | 1.47658i | ||||
\(424\) | 13.5665 | + | 32.0341i | 0.658848 | + | 1.55572i | ||||
\(425\) | −16.3865 | − | 6.51704i | −0.794862 | − | 0.316123i | ||||
\(426\) | −27.4227 | + | 20.6332i | −1.32864 | + | 0.999681i | ||||
\(427\) | 2.73547 | + | 3.76505i | 0.132378 | + | 0.182203i | ||||
\(428\) | 0.610985 | − | 12.9647i | 0.0295331 | − | 0.626672i | ||||
\(429\) | 3.24881 | + | 16.2479i | 0.156854 | + | 0.784456i | ||||
\(430\) | 3.12219 | + | 7.07665i | 0.150565 | + | 0.341266i | ||||
\(431\) | 11.0015 | + | 33.8590i | 0.529921 | + | 1.63093i | 0.754374 | + | 0.656445i | \(0.227941\pi\) |
−0.224453 | + | 0.974485i | \(0.572059\pi\) | |||||||
\(432\) | 9.92573 | + | 18.2614i | 0.477552 | + | 0.878604i | ||||
\(433\) | −6.69518 | − | 20.6056i | −0.321750 | − | 0.990244i | −0.972886 | − | 0.231284i | \(-0.925707\pi\) |
0.651137 | − | 0.758961i | \(-0.274293\pi\) | |||||||
\(434\) | 6.56385 | + | 3.54152i | 0.315075 | + | 0.169999i | ||||
\(435\) | 13.1875 | − | 26.4076i | 0.632292 | − | 1.26615i | ||||
\(436\) | −10.4285 | + | 13.0178i | −0.499436 | + | 0.623439i | ||||
\(437\) | −2.19128 | + | 3.01604i | −0.104823 | + | 0.144277i | ||||
\(438\) | 13.1146 | − | 0.219354i | 0.626639 | − | 0.0104811i | ||||
\(439\) | 7.99755 | + | 11.0077i | 0.381702 | + | 0.525368i | 0.956035 | − | 0.293254i | \(-0.0947382\pi\) |
−0.574332 | + | 0.818622i | \(0.694738\pi\) | |||||||
\(440\) | 10.7104 | + | 6.92655i | 0.510597 | + | 0.330210i | ||||
\(441\) | −17.8734 | + | 7.44535i | −0.851115 | + | 0.354540i | ||||
\(442\) | 21.3284 | − | 10.2422i | 1.01449 | − | 0.487171i | ||||
\(443\) | −22.1217 | −1.05104 | −0.525518 | − | 0.850782i | \(-0.676128\pi\) | ||||
−0.525518 | + | 0.850782i | \(0.676128\pi\) | |||||||
\(444\) | −3.78264 | − | 1.95997i | −0.179516 | − | 0.0930160i | ||||
\(445\) | −7.79952 | − | 26.9234i | −0.369733 | − | 1.27629i | ||||
\(446\) | 26.2906 | + | 4.80108i | 1.24490 | + | 0.227338i | ||||
\(447\) | 7.12436 | − | 1.42453i | 0.336971 | − | 0.0673782i | ||||
\(448\) | −5.85221 | − | 0.832323i | −0.276491 | − | 0.0393235i | ||||
\(449\) | 1.26422i | 0.0596623i | 0.999555 | + | 0.0298312i | \(0.00949696\pi\) | ||||
−0.999555 | + | 0.0298312i | \(0.990503\pi\) | |||||||
\(450\) | 18.9716 | − | 9.49094i | 0.894330 | − | 0.447407i | ||||
\(451\) | 3.50593i | 0.165088i | ||||||||
\(452\) | 6.02436 | + | 4.82611i | 0.283362 | + | 0.227001i | ||||
\(453\) | −3.24512 | + | 0.648871i | −0.152469 | + | 0.0304866i | ||||
\(454\) | 5.69578 | − | 31.1899i | 0.267316 | − | 1.46382i | ||||
\(455\) | −6.48543 | + | 4.40021i | −0.304041 | + | 0.206285i | ||||
\(456\) | −4.92255 | + | 13.7180i | −0.230519 | + | 0.642404i | ||||
\(457\) | 24.3254 | 1.13789 | 0.568946 | − | 0.822375i | \(-0.307351\pi\) | ||||
0.568946 | + | 0.822375i | \(0.307351\pi\) | |||||||
\(458\) | 12.5420 | + | 26.1177i | 0.586051 | + | 1.22040i | ||||
\(459\) | 14.4263 | + | 11.3027i | 0.673361 | + | 0.527565i | ||||
\(460\) | 1.30424 | + | 5.45024i | 0.0608104 | + | 0.254119i | ||||
\(461\) | 8.55950 | + | 11.7811i | 0.398656 | + | 0.548702i | 0.960406 | − | 0.278604i | \(-0.0898718\pi\) |
−0.561750 | + | 0.827307i | \(0.689872\pi\) | |||||||
\(462\) | −0.0610426 | − | 3.64958i | −0.00283996 | − | 0.169794i | ||||
\(463\) | −0.519225 | + | 0.714652i | −0.0241304 | + | 0.0332127i | −0.820912 | − | 0.571055i | \(-0.806534\pi\) |
0.796781 | + | 0.604268i | \(0.206534\pi\) | |||||||
\(464\) | 27.9789 | + | 12.1054i | 1.29889 | + | 0.561980i | ||||
\(465\) | −4.54501 | − | 27.2673i | −0.210770 | − | 1.26449i | ||||
\(466\) | −3.90273 | + | 7.23331i | −0.180791 | + | 0.335077i | ||||
\(467\) | −0.698061 | − | 2.14841i | −0.0323024 | − | 0.0994167i | 0.933605 | − | 0.358303i | \(-0.116645\pi\) |
−0.965908 | + | 0.258886i | \(0.916645\pi\) | |||||||
\(468\) | −7.88482 | + | 27.3471i | −0.364476 | + | 1.26412i | ||||
\(469\) | −2.11574 | − | 6.51157i | −0.0976957 | − | 0.300676i | ||||
\(470\) | 3.24931 | + | 31.9508i | 0.149879 | + | 1.47378i | ||||
\(471\) | −6.85119 | − | 34.2641i | −0.315686 | − | 1.57880i | ||||
\(472\) | 1.19986 | + | 13.8460i | 0.0552282 | + | 0.637316i | ||||
\(473\) | −2.89946 | − | 3.99076i | −0.133317 | − | 0.183495i | ||||
\(474\) | −22.8634 | − | 30.3868i | −1.05015 | − | 1.39571i | ||||
\(475\) | 13.8220 | + | 5.49712i | 0.634197 | + | 0.252225i | ||||
\(476\) | −5.02731 | + | 1.37549i | −0.230426 | + | 0.0630454i | ||||
\(477\) | −36.7791 | + | 2.96864i | −1.68400 | + | 0.135925i | ||||
\(478\) | −3.09439 | + | 16.9448i | −0.141534 | + | 0.775037i | ||||
\(479\) | −6.91709 | + | 21.2886i | −0.316050 | + | 0.972702i | 0.659270 | + | 0.751906i | \(0.270865\pi\) |
−0.975320 | + | 0.220796i | \(0.929135\pi\) | |||||||
\(480\) | 10.8609 | + | 19.0274i | 0.495729 | + | 0.868477i | ||||
\(481\) | −1.80272 | − | 5.54821i | −0.0821971 | − | 0.252977i | ||||
\(482\) | −15.9948 | + | 2.14863i | −0.728543 | + | 0.0978674i | ||||
\(483\) | 1.08743 | − | 1.17874i | 0.0494800 | − | 0.0536347i | ||||
\(484\) | 12.9706 | + | 4.90071i | 0.589573 | + | 0.222760i | ||||
\(485\) | 11.8241 | − | 15.2194i | 0.536906 | − | 0.691077i | ||||
\(486\) | −21.6978 | + | 3.89918i | −0.984234 | + | 0.176871i | ||||
\(487\) | −0.946906 | + | 1.30330i | −0.0429084 | + | 0.0590584i | −0.829932 | − | 0.557864i | \(-0.811621\pi\) |
0.787024 | + | 0.616923i | \(0.211621\pi\) | |||||||
\(488\) | 17.3548 | + | 4.02176i | 0.785616 | + | 0.182056i | ||||
\(489\) | 2.23472 | + | 1.02751i | 0.101057 | + | 0.0464656i | ||||
\(490\) | −18.6729 | + | 8.23838i | −0.843554 | + | 0.372172i | ||||
\(491\) | −13.8437 | − | 10.0580i | −0.624757 | − | 0.453912i | 0.229823 | − | 0.973232i | \(-0.426185\pi\) |
−0.854580 | + | 0.519320i | \(0.826185\pi\) | |||||||
\(492\) | −2.77049 | + | 5.34691i | −0.124903 | + | 0.241057i | ||||
\(493\) | 26.8803 | 1.21063 | ||||||||
\(494\) | −17.9905 | + | 8.63927i | −0.809431 | + | 0.388699i | ||||
\(495\) | −10.5478 | + | 8.47171i | −0.474087 | + | 0.380775i | ||||
\(496\) | 27.8621 | − | 6.22978i | 1.25105 | − | 0.279725i | ||||
\(497\) | 9.84539 | + | 3.19896i | 0.441626 | + | 0.143493i | ||||
\(498\) | 2.05600 | − | 6.70739i | 0.0921316 | − | 0.300565i | ||||
\(499\) | − | 10.7652i | − | 0.481918i | −0.970535 | − | 0.240959i | \(-0.922538\pi\) | ||
0.970535 | − | 0.240959i | \(-0.0774620\pi\) | |||||||
\(500\) | 19.7854 | − | 10.4182i | 0.884828 | − | 0.465918i | ||||
\(501\) | −17.8986 | + | 10.0472i | −0.799650 | + | 0.448877i | ||||
\(502\) | 25.1720 | − | 24.0137i | 1.12348 | − | 1.07178i | ||||
\(503\) | −2.71748 | + | 8.36356i | −0.121167 | + | 0.372912i | −0.993183 | − | 0.116564i | \(-0.962812\pi\) |
0.872017 | + | 0.489476i | \(0.162812\pi\) | |||||||
\(504\) | 2.79091 | − | 5.61423i | 0.124317 | − | 0.250078i | ||||
\(505\) | 13.3871 | − | 37.0944i | 0.595716 | − | 1.65068i | ||||
\(506\) | −1.54714 | − | 3.22179i | −0.0687789 | − | 0.143226i | ||||
\(507\) | −14.3498 | + | 8.05516i | −0.637299 | + | 0.357742i | ||||
\(508\) | −3.03308 | + | 1.99250i | −0.134571 | + | 0.0884028i | ||||
\(509\) | 15.2010 | − | 20.9223i | 0.673771 | − | 0.927366i | −0.326068 | − | 0.945346i | \(-0.605724\pi\) |
0.999838 | + | 0.0179806i | \(0.00572371\pi\) | |||||||
\(510\) | 15.4512 | + | 11.5951i | 0.684192 | + | 0.513441i | ||||
\(511\) | −2.32561 | − | 3.20093i | −0.102879 | − | 0.141601i | ||||
\(512\) | −19.0074 | + | 12.2768i | −0.840016 | + | 0.542562i | ||||
\(513\) | −12.1685 | − | 9.53382i | −0.537254 | − | 0.420928i | ||||
\(514\) | 2.32968 | + | 2.44206i | 0.102758 | + | 0.107715i | ||||
\(515\) | 9.68649 | + | 7.52555i | 0.426838 | + | 0.331615i | ||||
\(516\) | −1.26836 | − | 8.37757i | −0.0558363 | − | 0.368802i | ||||
\(517\) | −6.32918 | − | 19.4792i | −0.278357 | − | 0.856695i | ||||
\(518\) | 0.171096 | + | 1.27367i | 0.00751751 | + | 0.0559618i | ||||
\(519\) | −0.630191 | + | 0.683106i | −0.0276623 | + | 0.0299850i | ||||
\(520\) | −7.70975 | + | 28.9931i | −0.338095 | + | 1.27143i | ||||
\(521\) | 15.8802 | + | 5.15978i | 0.695723 | + | 0.226054i | 0.635466 | − | 0.772129i | \(-0.280808\pi\) |
0.0602569 | + | 0.998183i | \(0.480808\pi\) | |||||||
\(522\) | −21.5245 | + | 24.1293i | −0.942101 | + | 1.05611i | ||||
\(523\) | −5.98318 | − | 8.23514i | −0.261626 | − | 0.360097i | 0.657914 | − | 0.753093i | \(-0.271439\pi\) |
−0.919540 | + | 0.392995i | \(0.871439\pi\) | |||||||
\(524\) | 34.2308 | − | 9.36567i | 1.49538 | − | 0.409141i | ||||
\(525\) | −5.62985 | − | 3.04161i | −0.245707 | − | 0.132747i | ||||
\(526\) | 21.6151 | − | 2.90362i | 0.942463 | − | 0.126604i | ||||
\(527\) | 20.3661 | − | 14.7968i | 0.887161 | − | 0.644560i | ||||
\(528\) | −9.33319 | − | 10.3980i | −0.406175 | − | 0.452515i | ||||
\(529\) | −6.62214 | + | 20.3809i | −0.287919 | + | 0.886124i | ||||
\(530\) | −38.6951 | + | 3.93518i | −1.68081 | + | 0.170933i | ||||
\(531\) | −14.3405 | − | 3.41253i | −0.622327 | − | 0.148091i | ||||
\(532\) | 4.24053 | − | 1.16022i | 0.183850 | − | 0.0503020i | ||||
\(533\) | −7.84260 | + | 2.54822i | −0.339701 | + | 0.110375i | ||||
\(534\) | 0.513510 | + | 30.7014i | 0.0222218 | + | 1.32858i | ||||
\(535\) | 13.6494 | + | 4.92594i | 0.590114 | + | 0.212967i | ||||
\(536\) | −22.4541 | − | 13.5170i | −0.969870 | − | 0.583846i | ||||
\(537\) | 12.3973 | + | 1.45474i | 0.534983 | + | 0.0627767i | ||||
\(538\) | 15.3486 | − | 28.4471i | 0.661726 | − | 1.22644i | ||||
\(539\) | 10.5303 | − | 7.65068i | 0.453570 | − | 0.329538i | ||||
\(540\) | −22.7811 | + | 4.58509i | −0.980341 | + | 0.197311i | ||||
\(541\) | −2.35065 | − | 1.70785i | −0.101062 | − | 0.0734260i | 0.536106 | − | 0.844150i | \(-0.319895\pi\) |
−0.637169 | + | 0.770724i | \(0.719895\pi\) | |||||||
\(542\) | −21.6443 | + | 10.3939i | −0.929702 | + | 0.446455i | ||||
\(543\) | 16.5289 | − | 9.27837i | 0.709324 | − | 0.398173i | ||||
\(544\) | −11.0832 | + | 16.5900i | −0.475188 | + | 0.711292i | ||||
\(545\) | −10.4702 | − | 15.4320i | −0.448495 | − | 0.661033i | ||||
\(546\) | 8.11958 | − | 2.78918i | 0.347486 | − | 0.119366i | ||||
\(547\) | −19.2639 | − | 6.25923i | −0.823666 | − | 0.267625i | −0.133291 | − | 0.991077i | \(-0.542554\pi\) |
−0.690375 | + | 0.723452i | \(0.742554\pi\) | |||||||
\(548\) | 7.31766 | + | 5.86217i | 0.312595 | + | 0.250420i | ||||
\(549\) | −9.84054 | + | 16.1307i | −0.419984 | + | 0.688440i | ||||
\(550\) | −10.9301 | + | 9.15937i | −0.466061 | + | 0.390557i | ||||
\(551\) | −22.6735 | −0.965924 | ||||||||
\(552\) | 0.186398 | − | 6.13617i | 0.00793364 | − | 0.261173i | ||||
\(553\) | −3.54474 | + | 10.9096i | −0.150737 | + | 0.463922i | ||||
\(554\) | 3.95590 | − | 21.6624i | 0.168070 | − | 0.920346i | ||||
\(555\) | 3.34069 | − | 3.39516i | 0.141805 | − | 0.144116i | ||||
\(556\) | −35.4530 | + | 23.2899i | −1.50354 | + | 0.987710i | ||||
\(557\) | − | 0.501584i | − | 0.0212528i | −0.999944 | − | 0.0106264i | \(-0.996617\pi\) | ||
0.999944 | − | 0.0106264i | \(-0.00338255\pi\) | |||||||
\(558\) | −3.02570 | + | 30.1304i | −0.128088 | + | 1.27552i | ||||
\(559\) | 6.81974 | − | 9.38656i | 0.288444 | − | 0.397009i | ||||
\(560\) | 2.81811 | − | 5.97785i | 0.119087 | − | 0.252610i | ||||
\(561\) | −11.1935 | − | 5.14671i | −0.472591 | − | 0.217294i | ||||
\(562\) | 3.97229 | − | 7.36222i | 0.167561 | − | 0.310557i | ||||
\(563\) | 4.55684 | + | 3.31074i | 0.192048 | + | 0.139531i | 0.679654 | − | 0.733533i | \(-0.262130\pi\) |
−0.487606 | + | 0.873064i | \(0.662130\pi\) | |||||||
\(564\) | 5.74041 | − | 34.7094i | 0.241715 | − | 1.46153i | ||||
\(565\) | −7.14160 | + | 4.84540i | −0.300449 | + | 0.203848i | ||||
\(566\) | 20.6668 | − | 38.3037i | 0.868689 | − | 1.61002i | ||||
\(567\) | 4.72104 | + | 4.68340i | 0.198265 | + | 0.196684i | ||||
\(568\) | 36.4898 | − | 15.4535i | 1.53108 | − | 0.648413i | ||||
\(569\) | 19.3311 | − | 6.28105i | 0.810401 | − | 0.263315i | 0.125633 | − | 0.992077i | \(-0.459904\pi\) |
0.684768 | + | 0.728762i | \(0.259904\pi\) | |||||||
\(570\) | −13.0331 | − | 9.78047i | −0.545896 | − | 0.409659i | ||||
\(571\) | 30.1588 | + | 9.79917i | 1.26210 | + | 0.410083i | 0.862244 | − | 0.506493i | \(-0.169058\pi\) |
0.399861 | + | 0.916576i | \(0.369058\pi\) | |||||||
\(572\) | 0.900671 | − | 19.1116i | 0.0376590 | − | 0.799097i | ||||
\(573\) | 5.66206 | − | 12.3144i | 0.236536 | − | 0.514440i | ||||
\(574\) | 1.80038 | − | 0.241850i | 0.0751463 | − | 0.0100946i | ||||
\(575\) | −6.25262 | − | 0.403036i | −0.260752 | − | 0.0168077i | ||||
\(576\) | −6.01728 | − | 23.2334i | −0.250720 | − | 0.968060i | ||||
\(577\) | −32.6795 | + | 23.7431i | −1.36047 | + | 0.988437i | −0.362052 | + | 0.932158i | \(0.617924\pi\) |
−0.998415 | + | 0.0562794i | \(0.982076\pi\) | |||||||
\(578\) | 1.15861 | − | 6.34450i | 0.0481917 | − | 0.263896i | ||||
\(579\) | 0.622560 | + | 3.11354i | 0.0258727 | + | 0.129394i | ||||
\(580\) | −22.1547 | + | 25.9011i | −0.919923 | + | 1.07549i | ||||
\(581\) | −2.01263 | + | 0.653942i | −0.0834978 | + | 0.0271301i | ||||
\(582\) | −16.8703 | + | 12.6934i | −0.699294 | + | 0.526157i | ||||
\(583\) | 23.5910 | − | 7.66517i | 0.977038 | − | 0.317459i | ||||
\(584\) | −14.7545 | − | 3.41918i | −0.610547 | − | 0.141487i | ||||
\(585\) | −26.6173 | − | 17.4374i | −1.10049 | − | 0.720947i | ||||
\(586\) | −11.7263 | − | 12.2920i | −0.484410 | − | 0.507776i | ||||
\(587\) | −29.8263 | − | 21.6701i | −1.23106 | − | 0.894421i | −0.234095 | − | 0.972214i | \(-0.575213\pi\) |
−0.996970 | + | 0.0777929i | \(0.975213\pi\) | |||||||
\(588\) | 22.1056 | − | 3.34676i | 0.911618 | − | 0.138018i | ||||
\(589\) | −17.1788 | + | 12.4811i | −0.707839 | + | 0.514275i | ||||
\(590\) | −15.1878 | − | 3.28182i | −0.625273 | − | 0.135111i | ||||
\(591\) | −2.12805 | + | 18.1352i | −0.0875362 | + | 0.745983i | ||||
\(592\) | 3.69025 | + | 3.25298i | 0.151668 | + | 0.133697i | ||||
\(593\) | 3.60378i | 0.147989i | 0.997259 | + | 0.0739947i | \(0.0235748\pi\) | ||||
−0.997259 | + | 0.0739947i | \(0.976425\pi\) | |||||||
\(594\) | 13.5832 | − | 5.92672i | 0.557327 | − | 0.243176i | ||||
\(595\) | 0.187518 | − | 5.82427i | 0.00768748 | − | 0.238772i | ||||
\(596\) | −8.38004 | − | 0.394925i | −0.343260 | − | 0.0161768i | ||||
\(597\) | 33.7454 | − | 6.74749i | 1.38111 | − | 0.276156i | ||||
\(598\) | 6.08249 | − | 5.80259i | 0.248731 | − | 0.237286i | ||||
\(599\) | −11.2701 | −0.460484 | −0.230242 | − | 0.973133i | \(-0.573952\pi\) | ||||
−0.230242 | + | 0.973133i | \(0.573952\pi\) | |||||||
\(600\) | −23.9076 | + | 5.33169i | −0.976023 | + | 0.217665i | ||||
\(601\) | −26.8415 | −1.09489 | −0.547443 | − | 0.836843i | \(-0.684399\pi\) | ||||
−0.547443 | + | 0.836843i | \(0.684399\pi\) | |||||||
\(602\) | −1.84934 | + | 1.76424i | −0.0753733 | + | 0.0719049i | ||||
\(603\) | 21.1020 | − | 18.0960i | 0.859340 | − | 0.736925i | ||||
\(604\) | 3.81708 | + | 0.179887i | 0.155315 | + | 0.00731951i | ||||
\(605\) | −9.51079 | + | 12.2418i | −0.386669 | + | 0.497700i | ||||
\(606\) | −24.8044 | + | 35.3694i | −1.00761 | + | 1.43678i | ||||
\(607\) | − | 18.6629i | − | 0.757503i | −0.925498 | − | 0.378751i | \(-0.876354\pi\) | ||
0.925498 | − | 0.378751i | \(-0.123646\pi\) | |||||||
\(608\) | 9.34866 | − | 13.9937i | 0.379138 | − | 0.567518i | ||||
\(609\) | 9.68727 | + | 1.13674i | 0.392548 | + | 0.0460629i | ||||
\(610\) | −10.0168 | + | 17.2154i | −0.405569 | + | 0.697029i | ||||
\(611\) | 38.9739 | − | 28.3162i | 1.57672 | − | 1.14555i | ||||
\(612\) | −13.0042 | − | 16.6948i | −0.525665 | − | 0.674845i | ||||
\(613\) | −35.3535 | − | 25.6858i | −1.42791 | − | 1.03744i | −0.990400 | − | 0.138229i | \(-0.955859\pi\) |
−0.437514 | − | 0.899212i | \(-0.644141\pi\) | |||||||
\(614\) | −23.5522 | − | 24.6883i | −0.950489 | − | 0.996337i | ||||
\(615\) | −4.79918 | − | 4.72220i | −0.193522 | − | 0.190417i | ||||
\(616\) | −0.951502 | + | 4.10595i | −0.0383371 | + | 0.165434i | ||||
\(617\) | 31.8623 | − | 10.3527i | 1.28273 | − | 0.416784i | 0.413188 | − | 0.910646i | \(-0.364415\pi\) |
0.869540 | + | 0.493862i | \(0.164415\pi\) | |||||||
\(618\) | −8.07880 | − | 10.7372i | −0.324977 | − | 0.431913i | ||||
\(619\) | 21.6969 | − | 7.04976i | 0.872074 | − | 0.283354i | 0.161411 | − | 0.986887i | \(-0.448395\pi\) |
0.710662 | + | 0.703533i | \(0.248395\pi\) | |||||||
\(620\) | −2.52786 | + | 31.8197i | −0.101521 | + | 1.27791i | ||||
\(621\) | 6.11567 | + | 2.23536i | 0.245413 | + | 0.0897018i | ||||
\(622\) | −4.72236 | + | 25.8595i | −0.189350 | + | 1.03687i | ||||
\(623\) | 7.49341 | − | 5.44428i | 0.300217 | − | 0.218121i | ||||
\(624\) | 16.4762 | − | 28.4355i | 0.659577 | − | 1.13833i | ||||
\(625\) | 4.60898 | + | 24.5715i | 0.184359 | + | 0.982859i | ||||
\(626\) | 3.38291 | − | 0.454436i | 0.135208 | − | 0.0181629i | ||||
\(627\) | 9.44172 | + | 4.34125i | 0.377066 | + | 0.173373i | ||||
\(628\) | −1.89936 | + | 40.3032i | −0.0757928 | + | 1.60827i | ||||
\(629\) | 4.12530 | + | 1.34039i | 0.164486 | + | 0.0534449i | ||||
\(630\) | 5.07805 | + | 4.83213i | 0.202314 | + | 0.192516i | ||||
\(631\) | −24.0978 | + | 7.82984i | −0.959317 | + | 0.311701i | −0.746496 | − | 0.665390i | \(-0.768265\pi\) |
−0.212821 | + | 0.977091i | \(0.568265\pi\) | |||||||
\(632\) | 17.1238 | + | 40.4339i | 0.681149 | + | 1.60837i | ||||
\(633\) | −27.0136 | + | 29.2818i | −1.07369 | + | 1.16385i | ||||
\(634\) | −7.86563 | + | 14.5781i | −0.312384 | + | 0.578972i | ||||
\(635\) | −1.12897 | − | 3.89711i | −0.0448016 | − | 0.154652i | ||||
\(636\) | 42.0360 | + | 6.95211i | 1.66683 | + | 0.275669i | ||||
\(637\) | 24.7679 | + | 17.9950i | 0.981342 | + | 0.712986i | ||||
\(638\) | 10.3216 | − | 19.1299i | 0.408634 | − | 0.757361i | ||||
\(639\) | 3.38155 | + | 41.8947i | 0.133772 | + | 1.65733i | ||||
\(640\) | −6.85095 | − | 24.3529i | −0.270808 | − | 0.962633i | ||||
\(641\) | 8.54730 | − | 11.7644i | 0.337598 | − | 0.464664i | −0.606140 | − | 0.795358i | \(-0.707283\pi\) |
0.943738 | + | 0.330694i | \(0.107283\pi\) | |||||||
\(642\) | −13.0146 | − | 9.12709i | −0.513647 | − | 0.360218i | ||||
\(643\) | 5.27318i | 0.207954i | 0.994580 | + | 0.103977i | \(0.0331568\pi\) | ||||
−0.994580 | + | 0.103977i | \(0.966843\pi\) | |||||||
\(644\) | −1.54774 | + | 1.01675i | −0.0609895 | + | 0.0400654i | ||||
\(645\) | 9.36819 | + | 1.40623i | 0.368872 | + | 0.0553701i | ||||
\(646\) | 2.66575 | − | 14.5976i | 0.104883 | − | 0.574335i | ||||
\(647\) | −0.604880 | + | 1.86163i | −0.0237803 | + | 0.0731882i | −0.962242 | − | 0.272194i | \(-0.912251\pi\) |
0.938462 | + | 0.345382i | \(0.112251\pi\) | |||||||
\(648\) | 25.3993 | + | 1.69502i | 0.997781 | + | 0.0665868i | ||||
\(649\) | 9.90956 | 0.388984 | ||||||||
\(650\) | −28.4334 | − | 17.7929i | −1.11525 | − | 0.697894i | ||||
\(651\) | 7.96538 | − | 4.47130i | 0.312188 | − | 0.175244i | ||||
\(652\) | −2.21658 | − | 1.77570i | −0.0868078 | − | 0.0695417i | ||||
\(653\) | −34.1296 | − | 11.0894i | −1.33559 | − | 0.433961i | −0.447773 | − | 0.894147i | \(-0.647783\pi\) |
−0.887822 | + | 0.460186i | \(0.847783\pi\) | |||||||
\(654\) | 6.63680 | + | 19.3204i | 0.259519 | + | 0.755488i | ||||
\(655\) | −1.27680 | + | 39.6573i | −0.0498889 | + | 1.54954i | ||||
\(656\) | 4.59821 | − | 5.21631i | 0.179530 | − | 0.203663i | ||||
\(657\) | 8.36613 | − | 13.7138i | 0.326394 | − | 0.535027i | ||||
\(658\) | −9.56644 | + | 4.59393i | −0.372939 | + | 0.179090i | ||||
\(659\) | −9.38919 | − | 6.82165i | −0.365751 | − | 0.265734i | 0.389696 | − | 0.920944i | \(-0.372580\pi\) |
−0.755447 | + | 0.655210i | \(0.772580\pi\) | |||||||
\(660\) | 14.1849 | − | 6.54386i | 0.552147 | − | 0.254719i | ||||
\(661\) | 16.9242 | − | 12.2962i | 0.658276 | − | 0.478266i | −0.207804 | − | 0.978170i | \(-0.566632\pi\) |
0.866080 | + | 0.499905i | \(0.166632\pi\) | |||||||
\(662\) | −7.57028 | + | 14.0307i | −0.294227 | + | 0.545320i | ||||
\(663\) | 3.37717 | − | 28.7802i | 0.131158 | − | 1.11773i | ||||
\(664\) | −4.17790 | + | 6.94022i | −0.162134 | + | 0.269333i | ||||
\(665\) | −0.158171 | + | 4.91276i | −0.00613361 | + | 0.190509i | ||||
\(666\) | −4.50655 | + | 2.62979i | −0.174625 | + | 0.101902i | ||||
\(667\) | 9.08301 | − | 2.95125i | 0.351696 | − | 0.114273i | ||||
\(668\) | 22.8609 | − | 6.25481i | 0.884513 | − | 0.242006i | ||||
\(669\) | 22.1943 | − | 24.0579i | 0.858081 | − | 0.930132i | ||||
\(670\) | 21.8418 | − | 19.5335i | 0.843822 | − | 0.754645i | ||||
\(671\) | 3.92523 | − | 12.0806i | 0.151532 | − | 0.466367i | ||||
\(672\) | −4.69579 | + | 5.51011i | −0.181144 | + | 0.212557i | ||||
\(673\) | 17.4290 | − | 12.6629i | 0.671839 | − | 0.488120i | −0.198801 | − | 0.980040i | \(-0.563705\pi\) |
0.870640 | + | 0.491920i | \(0.163705\pi\) | |||||||
\(674\) | −48.2211 | + | 6.47769i | −1.85741 | + | 0.249511i | ||||
\(675\) | 2.61024 | − | 25.8493i | 0.100468 | − | 0.994940i | ||||
\(676\) | 18.3282 | − | 5.01467i | 0.704932 | − | 0.192872i | ||||
\(677\) | −10.8376 | − | 14.9166i | −0.416522 | − | 0.573293i | 0.548272 | − | 0.836300i | \(-0.315286\pi\) |
−0.964794 | + | 0.263007i | \(0.915286\pi\) | |||||||
\(678\) | 8.94109 | − | 3.07138i | 0.343380 | − | 0.117955i | ||||
\(679\) | 6.05681 | + | 1.96798i | 0.232439 | + | 0.0755240i | ||||
\(680\) | −14.0708 | − | 17.3088i | −0.539592 | − | 0.663762i | ||||
\(681\) | −28.5412 | − | 26.3303i | −1.09370 | − | 1.00898i | ||||
\(682\) | −2.71026 | − | 20.1757i | −0.103781 | − | 0.772566i | ||||
\(683\) | −7.98951 | − | 24.5892i | −0.305710 | − | 0.940879i | −0.979411 | − | 0.201875i | \(-0.935296\pi\) |
0.673701 | − | 0.739004i | \(-0.264704\pi\) | |||||||
\(684\) | 10.9690 | + | 14.0820i | 0.419412 | + | 0.538439i | ||||
\(685\) | −8.67475 | + | 5.88561i | −0.331445 | + | 0.224877i | ||||
\(686\) | −9.70423 | − | 10.1723i | −0.370509 | − | 0.388381i | ||||
\(687\) | 35.2427 | + | 4.13550i | 1.34459 | + | 0.157779i | ||||
\(688\) | −0.920119 | + | 9.74046i | −0.0350792 | + | 0.371352i | ||||
\(689\) | 34.2933 | + | 47.2007i | 1.30647 | + | 1.79820i | ||||
\(690\) | 6.49411 | + | 2.22164i | 0.247227 | + | 0.0845762i | ||||
\(691\) | −4.33841 | + | 5.97131i | −0.165041 | + | 0.227159i | −0.883525 | − | 0.468384i | \(-0.844836\pi\) |
0.718484 | + | 0.695544i | \(0.244836\pi\) | |||||||
\(692\) | 0.896947 | − | 0.589225i | 0.0340968 | − | 0.0223990i | ||||
\(693\) | −3.81633 | − | 2.32816i | −0.144970 | − | 0.0884395i | ||||
\(694\) | −2.09188 | − | 4.35615i | −0.0794067 | − | 0.165357i | ||||
\(695\) | −13.1962 | − | 45.5524i | −0.500561 | − | 1.72790i | ||||
\(696\) | 30.8585 | − | 21.0188i | 1.16969 | − | 0.796714i | ||||
\(697\) | 1.89469 | − | 5.83126i | 0.0717666 | − | 0.220875i | ||||
\(698\) | −9.00654 | + | 8.59209i | −0.340903 | + | 0.325215i | ||||
\(699\) | 4.92734 | + | 8.77778i | 0.186369 | + | 0.332006i | ||||
\(700\) | 5.45755 | + | 4.98103i | 0.206276 | + | 0.188265i | ||||
\(701\) | − | 28.4071i | − | 1.07292i | −0.843925 | − | 0.536462i | \(-0.819761\pi\) | ||
0.843925 | − | 0.536462i | \(-0.180239\pi\) | |||||||
\(702\) | 23.1305 | + | 26.0774i | 0.873005 | + | 0.984227i | ||||
\(703\) | −3.47968 | − | 1.13062i | −0.131239 | − | 0.0426420i | ||||
\(704\) | 7.55089 | + | 14.2579i | 0.284585 | + | 0.537363i | ||||
\(705\) | 35.1896 | + | 17.5730i | 1.32532 | + | 0.661839i | ||||
\(706\) | 8.25914 | − | 3.96614i | 0.310837 | − | 0.149268i | ||||
\(707\) | 13.0313 | 0.490093 | ||||||||
\(708\) | 15.1131 | + | 7.83084i | 0.567986 | + | 0.294301i | ||||
\(709\) | −15.0277 | − | 10.9183i | −0.564378 | − | 0.410044i | 0.268681 | − | 0.963229i | \(-0.413412\pi\) |
−0.833058 | + | 0.553185i | \(0.813412\pi\) | |||||||
\(710\) | 4.48253 | + | 44.0772i | 0.168226 | + | 1.65419i | ||||
\(711\) | −46.4231 | + | 3.74706i | −1.74100 | + | 0.140526i | ||||
\(712\) | 8.00433 | − | 34.5406i | 0.299975 | − | 1.29446i | ||||
\(713\) | 5.25724 | − | 7.23597i | 0.196885 | − | 0.270989i | ||||
\(714\) | −1.87080 | + | 6.10318i | −0.0700128 | + | 0.228406i | ||||
\(715\) | 20.1210 | + | 7.26147i | 0.752481 | + | 0.271564i | ||||
\(716\) | −13.4831 | − | 5.09434i | −0.503886 | − | 0.190384i | ||||
\(717\) | 15.5058 | + | 14.3047i | 0.579074 | + | 0.534217i | ||||
\(718\) | 27.9242 | − | 3.75114i | 1.04212 | − | 0.139991i | ||||
\(719\) | 3.98890 | + | 12.2766i | 0.148761 | + | 0.457839i | 0.997475 | − | 0.0710123i | \(-0.0226230\pi\) |
−0.848715 | + | 0.528851i | \(0.822623\pi\) | |||||||
\(720\) | 26.8046 | + | 1.22927i | 0.998950 | + | 0.0458121i | ||||
\(721\) | −1.25253 | + | 3.85490i | −0.0466468 | + | 0.143564i | ||||
\(722\) | 2.57851 | − | 14.1199i | 0.0959623 | − | 0.525487i | ||||
\(723\) | −8.25706 | + | 17.9582i | −0.307083 | + | 0.667872i | ||||
\(724\) | −21.1115 | + | 5.77616i | −0.784601 | + | 0.214669i | ||||
\(725\) | −20.3691 | − | 32.2059i | −0.756489 | − | 1.19610i | ||||
\(726\) | 13.5697 | − | 10.2100i | 0.503618 | − | 0.378928i | ||||
\(727\) | −24.2110 | − | 33.3236i | −0.897936 | − | 1.23590i | −0.971122 | − | 0.238584i | \(-0.923317\pi\) |
0.0731863 | − | 0.997318i | \(-0.476683\pi\) | |||||||
\(728\) | −9.87642 | + | 0.855866i | −0.366044 | + | 0.0317205i | ||||
\(729\) | −10.1825 | + | 25.0063i | −0.377131 | + | 0.926160i | ||||
\(730\) | 8.51600 | − | 14.6360i | 0.315191 | − | 0.541702i | ||||
\(731\) | 2.66584 | + | 8.20460i | 0.0985996 | + | 0.303458i | ||||
\(732\) | 15.5329 | − | 15.3224i | 0.574112 | − | 0.566332i | ||||
\(733\) | −9.15431 | − | 28.1741i | −0.338122 | − | 1.04063i | −0.965164 | − | 0.261647i | \(-0.915734\pi\) |
0.627041 | − | 0.778986i | \(-0.284266\pi\) | |||||||
\(734\) | 12.7729 | − | 23.6733i | 0.471458 | − | 0.873798i | ||||
\(735\) | −3.71055 | + | 24.7195i | −0.136866 | + | 0.911791i | ||||
\(736\) | −1.92362 | + | 6.82272i | −0.0709055 | + | 0.251489i | ||||
\(737\) | −10.9842 | + | 15.1185i | −0.404608 | + | 0.556896i | ||||
\(738\) | 3.71730 | + | 6.37018i | 0.136836 | + | 0.234490i | ||||
\(739\) | −16.9992 | − | 23.3974i | −0.625326 | − | 0.860688i | 0.372401 | − | 0.928072i | \(-0.378535\pi\) |
−0.997727 | + | 0.0673842i | \(0.978535\pi\) | |||||||
\(740\) | −4.69162 | + | 2.87027i | −0.172467 | + | 0.105513i | ||||
\(741\) | −2.84864 | + | 24.2761i | −0.104647 | + | 0.891804i | ||||
\(742\) | −5.56363 | − | 11.5858i | −0.204247 | − | 0.425327i | ||||
\(743\) | 5.79856 | 0.212729 | 0.106364 | − | 0.994327i | \(-0.466079\pi\) | ||||
0.106364 | + | 0.994327i | \(0.466079\pi\) | |||||||
\(744\) | 11.8100 | − | 32.9118i | 0.432976 | − | 1.20660i | ||||
\(745\) | 3.18400 | − | 8.82261i | 0.116653 | − | 0.323235i | ||||
\(746\) | −0.143075 | + | 0.783474i | −0.00523834 | + | 0.0286850i | ||||
\(747\) | −5.59319 | − | 6.52231i | −0.204644 | − | 0.238639i | ||||
\(748\) | 11.1027 | + | 8.89433i | 0.405954 | + | 0.325209i | ||||
\(749\) | 4.79504i | 0.175207i | ||||||||
\(750\) | 2.18392 | − | 27.2989i | 0.0797454 | − | 0.996815i | ||||
\(751\) | − | 16.7726i | − | 0.612040i | −0.952025 | − | 0.306020i | \(-0.901003\pi\) | ||
0.952025 | − | 0.306020i | \(-0.0989974\pi\) | |||||||
\(752\) | −16.1311 | + | 37.2833i | −0.588241 | + | 1.35958i | ||||
\(753\) | −8.35418 | − | 41.7808i | −0.304443 | − | 1.52258i | ||||
\(754\) | 50.2948 | + | 9.18464i | 1.83163 | + | 0.334485i | ||||
\(755\) | −1.45030 | + | 4.01867i | −0.0527819 | + | 0.146254i | ||||
\(756\) | −3.98053 | − | 6.56648i | −0.144770 | − | 0.238820i | ||||
\(757\) | −2.93848 | −0.106801 | −0.0534005 | − | 0.998573i | \(-0.517006\pi\) | ||||
−0.0534005 | + | 0.998573i | \(0.517006\pi\) | |||||||
\(758\) | 19.2638 | − | 9.25073i | 0.699693 | − | 0.336002i | ||||
\(759\) | −4.34743 | − | 0.510142i | −0.157802 | − | 0.0185170i | ||||
\(760\) | 11.8687 | + | 14.5999i | 0.430524 | + | 0.529596i | ||||
\(761\) | 25.3962 | + | 34.9549i | 0.920611 | + | 1.26711i | 0.963411 | + | 0.268029i | \(0.0863724\pi\) |
−0.0427993 | + | 0.999084i | \(0.513628\pi\) | |||||||
\(762\) | 0.0743296 | + | 4.44397i | 0.00269268 | + | 0.160988i | ||||
\(763\) | 3.62209 | − | 4.98538i | 0.131128 | − | 0.180483i | ||||
\(764\) | −9.78494 | + | 12.2144i | −0.354007 | + | 0.441901i | ||||
\(765\) | 22.1220 | − | 8.39037i | 0.799822 | − | 0.303354i | ||||
\(766\) | −10.1638 | − | 5.48390i | −0.367234 | − | 0.198141i | ||||
\(767\) | 7.20258 | + | 22.1672i | 0.260070 | + | 0.800413i | ||||
\(768\) | 0.248910 | + | 27.7117i | 0.00898178 | + | 0.999960i | ||||
\(769\) | 9.36897 | + | 28.8347i | 0.337854 | + | 1.03981i | 0.965299 | + | 0.261147i | \(0.0841006\pi\) |
−0.627445 | + | 0.778661i | \(0.715899\pi\) | |||||||
\(770\) | −4.07296 | − | 2.36987i | −0.146779 | − | 0.0854040i | ||||
\(771\) | 4.05336 | − | 0.810480i | 0.145978 | − | 0.0291887i | ||||
\(772\) | 0.172593 | − | 3.66230i | 0.00621175 | − | 0.131809i | ||||
\(773\) | −2.56875 | − | 3.53558i | −0.0923916 | − | 0.127166i | 0.760319 | − | 0.649550i | \(-0.225043\pi\) |
−0.852710 | + | 0.522384i | \(0.825043\pi\) | |||||||
\(774\) | −9.49961 | − | 4.17685i | −0.341456 | − | 0.150134i | ||||
\(775\) | −33.1612 | − | 13.1885i | −1.19119 | − | 0.473745i | ||||
\(776\) | 22.4482 | − | 9.50686i | 0.805844 | − | 0.341276i | ||||
\(777\) | 1.43001 | + | 0.657511i | 0.0513014 | + | 0.0235881i | ||||
\(778\) | −4.99533 | − | 0.912227i | −0.179091 | − | 0.0327049i | ||||
\(779\) | −1.59817 | + | 4.91866i | −0.0572604 | + | 0.176229i | ||||
\(780\) | 24.9484 | + | 26.9747i | 0.893295 | + | 0.965850i | ||||
\(781\) | −8.73131 | − | 26.8722i | −0.312431 | − | 0.961564i | ||||
\(782\) | 0.832164 | + | 6.19478i | 0.0297581 | + | 0.221525i | ||||
\(783\) | 10.8638 | + | 38.0824i | 0.388242 | + | 1.36095i | ||||
\(784\) | −25.7018 | − | 2.42788i | −0.917920 | − | 0.0867100i | ||||
\(785\) | −42.4317 | − | 15.3132i | −1.51445 | − | 0.546552i | ||||
\(786\) | 12.7382 | − | 41.5564i | 0.454357 | − | 1.48227i | ||||
\(787\) | −31.3923 | + | 43.2077i | −1.11901 | + | 1.54019i | −0.311590 | + | 0.950217i | \(0.600861\pi\) |
−0.807423 | + | 0.589972i | \(0.799139\pi\) | |||||||
\(788\) | 7.45218 | − | 19.7235i | 0.265473 | − | 0.702622i | ||||
\(789\) | 11.1585 | − | 24.2684i | 0.397251 | − | 0.863977i | ||||
\(790\) | −48.8415 | + | 4.96704i | −1.73770 | + | 0.176719i | ||||
\(791\) | −2.30713 | − | 1.67623i | −0.0820321 | − | 0.0595998i | ||||
\(792\) | −16.8746 | + | 2.84424i | −0.599611 | + | 0.101066i | ||||
\(793\) | 29.8768 | 1.06096 | ||||||||
\(794\) | 14.2261 | + | 29.6247i | 0.504867 | + | 1.05134i | ||||
\(795\) | −21.2824 | + | 42.6175i | −0.754810 | + | 1.51149i | ||||
\(796\) | −39.6931 | − | 1.87061i | −1.40689 | − | 0.0663021i | ||||
\(797\) | 32.3917 | + | 10.5247i | 1.14737 | + | 0.372804i | 0.820153 | − | 0.572145i | \(-0.193889\pi\) |
0.327219 | + | 0.944949i | \(0.393889\pi\) | |||||||
\(798\) | 1.57801 | − | 5.14803i | 0.0558611 | − | 0.182238i | ||||
\(799\) | 35.8194i | 1.26720i | ||||||||
\(800\) | 28.2754 | + | 0.707602i | 0.999687 | + | 0.0250175i | ||||
\(801\) | 32.1042 | + | 19.5852i | 1.13435 | + | 0.692010i | ||||
\(802\) | −19.5160 | − | 20.4574i | −0.689135 | − | 0.722376i | ||||
\(803\) | −3.33712 | + | 10.2706i | −0.117764 | + | 0.362441i | ||||
\(804\) | −28.6992 | + | 14.3772i | −1.01214 | + | 0.507045i | ||||
\(805\) | −0.576096 | − | 1.98864i | −0.0203047 | − | 0.0700904i | ||||
\(806\) | 43.1622 | − | 20.7270i | 1.52032 | − | 0.730078i | ||||
\(807\) | −19.3782 | − | 34.5212i | −0.682144 | − | 1.21520i | ||||
\(808\) | 37.6743 | − | 32.6953i | 1.32538 | − | 1.15022i | ||||
\(809\) | −20.9478 | + | 28.8322i | −0.736486 | + | 1.01369i | 0.262327 | + | 0.964979i | \(0.415510\pi\) |
−0.998813 | + | 0.0487074i | \(0.984490\pi\) | |||||||
\(810\) | −10.1826 | + | 26.5766i | −0.357779 | + | 0.933806i | ||||
\(811\) | 19.5132 | + | 26.8576i | 0.685202 | + | 0.943099i | 0.999982 | − | 0.00606532i | \(-0.00193066\pi\) |
−0.314780 | + | 0.949165i | \(0.601931\pi\) | |||||||
\(812\) | −10.5357 | − | 3.98072i | −0.369730 | − | 0.139696i | ||||
\(813\) | −3.42718 | + | 29.2064i | −0.120197 | + | 1.02431i | ||||
\(814\) | 2.53796 | − | 2.42117i | 0.0889553 | − | 0.0848619i | ||||
\(815\) | 2.62765 | − | 1.78280i | 0.0920425 | − | 0.0624486i | ||||
\(816\) | 9.90416 | + | 22.3385i | 0.346715 | + | 0.782003i | ||||
\(817\) | −2.24863 | − | 6.92057i | −0.0786696 | − | 0.242120i | ||||
\(818\) | −1.67764 | + | 0.225362i | −0.0586573 | + | 0.00787961i | ||||
\(819\) | 2.43416 | − | 10.2291i | 0.0850565 | − | 0.357435i | ||||
\(820\) | 4.05724 | + | 6.63178i | 0.141685 | + | 0.231592i | ||||
\(821\) | −13.3123 | − | 4.32543i | −0.464603 | − | 0.150959i | 0.0673557 | − | 0.997729i | \(-0.478544\pi\) |
−0.531959 | + | 0.846770i | \(0.678544\pi\) | |||||||
\(822\) | 10.8605 | − | 3.73073i | 0.378805 | − | 0.130124i | ||||
\(823\) | −6.65631 | − | 9.16163i | −0.232025 | − | 0.319354i | 0.677090 | − | 0.735900i | \(-0.263241\pi\) |
−0.909115 | + | 0.416546i | \(0.863241\pi\) | |||||||
\(824\) | 6.05071 | + | 14.2873i | 0.210787 | + | 0.497723i | ||||
\(825\) | 2.31572 | + | 17.3113i | 0.0806231 | + | 0.602700i | ||||
\(826\) | −0.683594 | − | 5.08880i | −0.0237853 | − | 0.177062i | ||||
\(827\) | 6.50741 | − | 4.72791i | 0.226285 | − | 0.164405i | −0.468866 | − | 0.883269i | \(-0.655337\pi\) |
0.695151 | + | 0.718864i | \(0.255337\pi\) | |||||||
\(828\) | −6.22716 | − | 4.21349i | −0.216409 | − | 0.146429i | ||||
\(829\) | −2.10626 | + | 6.48242i | −0.0731536 | + | 0.225144i | −0.980948 | − | 0.194273i | \(-0.937765\pi\) |
0.907794 | + | 0.419416i | \(0.137765\pi\) | |||||||
\(830\) | −6.03751 | − | 6.75096i | −0.209565 | − | 0.234329i | ||||
\(831\) | −19.8227 | − | 18.2872i | −0.687643 | − | 0.634376i | ||||
\(832\) | −26.4060 | + | 27.2541i | −0.915463 | + | 0.944865i | ||||
\(833\) | −21.6492 | + | 7.03424i | −0.750099 | + | 0.243722i | ||||
\(834\) | 0.868822 | + | 51.9446i | 0.0300849 | + | 1.79869i | ||||
\(835\) | −0.852707 | + | 26.4849i | −0.0295091 | + | 0.916548i | ||||
\(836\) | −9.36508 | − | 7.50236i | −0.323898 | − | 0.259474i | ||||
\(837\) | 29.1943 | + | 22.8732i | 1.00910 | + | 0.790614i | ||||
\(838\) | −28.2350 | − | 15.2342i | −0.975361 | − | 0.526256i | ||||
\(839\) | −15.0054 | + | 10.9021i | −0.518044 | + | 0.376381i | −0.815866 | − | 0.578240i | \(-0.803740\pi\) |
0.297823 | + | 0.954621i | \(0.403740\pi\) | |||||||
\(840\) | −4.33895 | − | 6.83287i | −0.149708 | − | 0.235757i | ||||
\(841\) | 23.5302 | + | 17.0957i | 0.811385 | + | 0.589506i | ||||
\(842\) | −10.1401 | − | 21.1159i | −0.349451 | − | 0.727701i | ||||
\(843\) | −5.01515 | − | 8.93422i | −0.172731 | − | 0.307711i | ||||
\(844\) | 38.4483 | − | 25.2575i | 1.32344 | − | 0.869400i | ||||
\(845\) | −0.683641 | + | 21.2337i | −0.0235180 | + | 0.730463i | ||||
\(846\) | −32.1536 | − | 28.6825i | −1.10546 | − | 0.986125i | ||||
\(847\) | −4.87183 | − | 1.58295i | −0.167398 | − | 0.0543909i | ||||
\(848\) | −45.1532 | − | 19.5361i | −1.55057 | − | 0.670873i | ||||
\(849\) | −26.0925 | − | 46.4824i | −0.895493 | − | 1.59527i | ||||
\(850\) | 23.1296 | − | 9.32749i | 0.793337 | − | 0.319930i | ||||
\(851\) | 1.54113 | 0.0528291 | ||||||||
\(852\) | 7.91908 | − | 47.8827i | 0.271303 | − | 1.64044i | ||||
\(853\) | −16.4758 | + | 50.7073i | −0.564121 | + | 1.73619i | 0.106427 | + | 0.994320i | \(0.466059\pi\) |
−0.670548 | + | 0.741866i | \(0.733941\pi\) | |||||||
\(854\) | −6.47447 | − | 1.18234i | −0.221552 | − | 0.0404589i | ||||
\(855\) | −18.6599 | + | 7.07726i | −0.638154 | + | 0.242037i | ||||
\(856\) | 12.0307 | + | 13.8628i | 0.411199 | + | 0.473820i | ||||
\(857\) | 30.1725i | 1.03067i | 0.856987 | + | 0.515337i | \(0.172333\pi\) | ||||
−0.856987 | + | 0.515337i | \(0.827667\pi\) | |||||||
\(858\) | −19.1853 | − | 13.4545i | −0.654974 | − | 0.459330i | ||||
\(859\) | 5.25931 | − | 7.23882i | 0.179445 | − | 0.246985i | −0.709813 | − | 0.704390i | \(-0.751221\pi\) |
0.889259 | + | 0.457404i | \(0.151221\pi\) | |||||||
\(860\) | −10.1029 | − | 4.19349i | −0.344506 | − | 0.142997i | ||||
\(861\) | 0.929416 | − | 2.02138i | 0.0316744 | − | 0.0688883i | ||||
\(862\) | −44.3098 | − | 23.9074i | −1.50920 | − | 0.814289i | ||||
\(863\) | 44.8698 | + | 32.5998i | 1.52738 | + | 1.10971i | 0.957670 | + | 0.287867i | \(0.0929462\pi\) |
0.569714 | + | 0.821843i | \(0.307054\pi\) | |||||||
\(864\) | −27.9831 | − | 8.99703i | −0.952004 | − | 0.306085i | ||||
\(865\) | 0.333860 | + | 1.15246i | 0.0113516 | + | 0.0391848i | ||||
\(866\) | 26.9658 | + | 14.5494i | 0.916334 | + | 0.494408i | ||||
\(867\) | −5.80570 | − | 5.35597i | −0.197172 | − | 0.181898i | ||||
\(868\) | −10.1737 | + | 2.78357i | −0.345319 | + | 0.0944804i | ||||
\(869\) | 29.7768 | − | 9.67508i | 1.01011 | − | 0.328204i | ||||
\(870\) | 12.2842 | + | 39.8954i | 0.416475 | + | 1.35258i | ||||
\(871\) | −41.8030 | − | 13.5826i | −1.41644 | − | 0.460229i | ||||
\(872\) | −2.03652 | − | 23.5008i | −0.0689652 | − | 0.795836i | ||||
\(873\) | 2.08030 | + | 25.7733i | 0.0704076 | + | 0.872294i | ||||
\(874\) | −0.701929 | − | 5.22529i | −0.0237431 | − | 0.176748i | ||||
\(875\) | −7.12029 | + | 4.18879i | −0.240710 | + | 0.141607i | ||||
\(876\) | −13.2056 | + | 13.0266i | −0.446176 | + | 0.440129i | ||||
\(877\) | −23.9884 | + | 17.4286i | −0.810029 | + | 0.588521i | −0.913839 | − | 0.406077i | \(-0.866897\pi\) |
0.103810 | + | 0.994597i | \(0.466897\pi\) | |||||||
\(878\) | −18.9291 | − | 3.45676i | −0.638826 | − | 0.116660i | ||||
\(879\) | −20.4024 | + | 4.07951i | −0.688154 | + | 0.137598i | ||||
\(880\) | −17.7211 | + | 3.36753i | −0.597379 | + | 0.113520i | ||||
\(881\) | 9.84672 | − | 3.19939i | 0.331745 | − | 0.107790i | −0.138409 | − | 0.990375i | \(-0.544199\pi\) |
0.470153 | + | 0.882585i | \(0.344199\pi\) | |||||||
\(882\) | 11.0213 | − | 25.0662i | 0.371106 | − | 0.844024i | ||||
\(883\) | 16.8715 | − | 5.48190i | 0.567773 | − | 0.184481i | −0.0110429 | − | 0.999939i | \(-0.503515\pi\) |
0.578816 | + | 0.815458i | \(0.303515\pi\) | |||||||
\(884\) | −11.8265 | + | 31.3008i | −0.397767 | + | 1.05276i | ||||
\(885\) | −13.3474 | + | 13.5650i | −0.448667 | + | 0.455982i | ||||
\(886\) | 22.6364 | − | 21.5948i | 0.760486 | − | 0.725491i | ||||
\(887\) | 11.1016 | + | 8.06579i | 0.372755 | + | 0.270823i | 0.758353 | − | 0.651845i | \(-0.226005\pi\) |
−0.385597 | + | 0.922667i | \(0.626005\pi\) | |||||||
\(888\) | 5.78393 | − | 1.68697i | 0.194096 | − | 0.0566108i | ||||
\(889\) | 1.08466 | − | 0.788050i | 0.0363782 | − | 0.0264303i | ||||
\(890\) | 34.2630 | + | 19.9361i | 1.14850 | + | 0.668258i | ||||
\(891\) | 2.76762 | − | 17.9384i | 0.0927187 | − | 0.600958i | ||||
\(892\) | −31.5890 | + | 20.7515i | −1.05768 | + | 0.694813i | ||||
\(893\) | − | 30.2137i | − | 1.01106i | ||||||
\(894\) | −5.89952 | + | 8.41233i | −0.197309 | + | 0.281350i | ||||
\(895\) | 9.88657 | − | 12.7255i | 0.330471 | − | 0.425366i | ||||
\(896\) | 6.80087 | − | 4.86112i | 0.227201 | − | 0.162399i | ||||
\(897\) | −2.01868 | − | 10.0958i | −0.0674018 | − | 0.337089i | ||||
\(898\) | −1.23411 | − | 1.29364i | −0.0411827 | − | 0.0431692i | ||||
\(899\) | 54.3975 | 1.81426 | ||||||||
\(900\) | −10.1482 | + | 28.2315i | −0.338272 | + | 0.941048i | ||||
\(901\) | −43.3803 | −1.44521 | ||||||||
\(902\) | −3.42241 | − | 3.58750i | −0.113954 | − | 0.119451i | ||||
\(903\) | 0.613765 | + | 3.06955i | 0.0204248 | + | 0.102148i | ||||
\(904\) | −10.8757 | + | 0.942459i | −0.361720 | + | 0.0313457i | ||||
\(905\) | 0.787454 | − | 24.4582i | 0.0261759 | − | 0.813017i | ||||
\(906\) | 2.68721 | − | 3.83179i | 0.0892767 | − | 0.127303i | ||||
\(907\) | − | 23.3088i | − | 0.773956i | −0.922089 | − | 0.386978i | \(-0.873519\pi\) | ||
0.922089 | − | 0.386978i | \(-0.126481\pi\) | |||||||
\(908\) | 24.6187 | + | 37.4757i | 0.816999 | + | 1.24368i | ||||
\(909\) | 20.3452 | + | 48.8411i | 0.674809 | + | 1.61996i | ||||
\(910\) | 2.34093 | − | 10.8335i | 0.0776012 | − | 0.359128i | ||||
\(911\) | −0.799588 | + | 0.580935i | −0.0264915 | + | 0.0192472i | −0.600952 | − | 0.799285i | \(-0.705212\pi\) |
0.574461 | + | 0.818532i | \(0.305212\pi\) | |||||||
\(912\) | −8.35415 | − | 18.8425i | −0.276634 | − | 0.623936i | ||||
\(913\) | 4.67289 | + | 3.39505i | 0.154650 | + | 0.112360i | ||||
\(914\) | −24.8913 | + | 23.7459i | −0.823332 | + | 0.785444i | ||||
\(915\) | 11.2499 | + | 21.6448i | 0.371911 | + | 0.715555i | ||||
\(916\) | −38.3293 | − | 14.4821i | −1.26644 | − | 0.478501i | ||||
\(917\) | −12.4695 | + | 4.05158i | −0.411778 | + | 0.133795i | ||||
\(918\) | −25.7954 | + | 2.51694i | −0.851375 | + | 0.0830712i | ||||
\(919\) | 16.5427 | − | 5.37504i | 0.545692 | − | 0.177306i | −0.0231812 | − | 0.999731i | \(-0.507379\pi\) |
0.568873 | + | 0.822425i | \(0.307379\pi\) | |||||||
\(920\) | −6.65499 | − | 4.30388i | −0.219408 | − | 0.141895i | ||||
\(921\) | −40.9779 | + | 8.19364i | −1.35027 | + | 0.269990i | ||||
\(922\) | −20.2592 | − | 3.69964i | −0.667200 | − | 0.121841i | ||||
\(923\) | 53.7658 | − | 39.0631i | 1.76972 | − | 1.28578i | ||||
\(924\) | 3.62510 | + | 3.67490i | 0.119257 | + | 0.120895i | ||||
\(925\) | −1.52007 | − | 5.95832i | −0.0499797 | − | 0.195908i | ||||
\(926\) | −0.166322 | − | 1.23814i | −0.00546570 | − | 0.0406877i | ||||
\(927\) | −16.4036 | + | 1.32402i | −0.538765 | + | 0.0434867i | ||||
\(928\) | −40.4469 | + | 14.9253i | −1.32773 | + | 0.489947i | ||||
\(929\) | −7.16511 | − | 2.32809i | −0.235080 | − | 0.0763820i | 0.189108 | − | 0.981956i | \(-0.439440\pi\) |
−0.424188 | + | 0.905574i | \(0.639440\pi\) | |||||||
\(930\) | 31.2685 | + | 23.4650i | 1.02534 | + | 0.769447i | ||||
\(931\) | 18.2610 | − | 5.93337i | 0.598481 | − | 0.194458i | ||||
\(932\) | −3.06747 | − | 11.2114i | −0.100478 | − | 0.367241i | ||||
\(933\) | 23.6634 | + | 21.8304i | 0.774706 | + | 0.714695i | ||||
\(934\) | 2.81154 | + | 1.51697i | 0.0919963 | + | 0.0496366i | ||||
\(935\) | −13.1617 | + | 8.92988i | −0.430433 | + | 0.292038i | ||||
\(936\) | −18.6274 | − | 35.6804i | −0.608855 | − | 1.16625i | ||||
\(937\) | 23.9839 | + | 17.4253i | 0.783520 | + | 0.569261i | 0.906034 | − | 0.423206i | \(-0.139095\pi\) |
−0.122513 | + | 0.992467i | \(0.539095\pi\) | |||||||
\(938\) | 8.52142 | + | 4.59773i | 0.278234 | + | 0.150121i | ||||
\(939\) | 1.74637 | − | 3.79816i | 0.0569907 | − | 0.123948i | ||||
\(940\) | −34.5146 | − | 29.5223i | −1.12574 | − | 0.962911i | ||||
\(941\) | −17.3787 | + | 23.9197i | −0.566528 | + | 0.779759i | −0.992138 | − | 0.125148i | \(-0.960060\pi\) |
0.425610 | + | 0.904907i | \(0.360060\pi\) | |||||||
\(942\) | 40.4584 | + | 28.3733i | 1.31821 | + | 0.924451i | ||||
\(943\) | − | 2.17844i | − | 0.0709398i | ||||||
\(944\) | −14.7440 | − | 12.9969i | −0.479876 | − | 0.423013i | ||||
\(945\) | 8.32726 | − | 2.08825i | 0.270886 | − | 0.0679308i | ||||
\(946\) | 6.86261 | + | 1.25322i | 0.223123 | + | 0.0407458i | ||||
\(947\) | −0.728909 | + | 2.24335i | −0.0236864 | + | 0.0728991i | −0.962201 | − | 0.272340i | \(-0.912202\pi\) |
0.938515 | + | 0.345240i | \(0.112202\pi\) | |||||||
\(948\) | 53.0584 | + | 8.77505i | 1.72326 | + | 0.285000i | ||||
\(949\) | −25.4004 | −0.824531 | ||||||||
\(950\) | −19.5098 | + | 7.86772i | −0.632980 | + | 0.255263i | ||||
\(951\) | 9.93064 | + | 17.6909i | 0.322023 | + | 0.573667i | ||||
\(952\) | 3.80156 | − | 6.31505i | 0.123209 | − | 0.204672i | ||||
\(953\) | 16.4109 | + | 5.33221i | 0.531600 | + | 0.172727i | 0.562503 | − | 0.826795i | \(-0.309838\pi\) |
−0.0309032 | + | 0.999522i | \(0.509838\pi\) | |||||||
\(954\) | 34.7369 | − | 38.9407i | 1.12465 | − | 1.26075i | ||||
\(955\) | −9.82405 | − | 14.4796i | −0.317899 | − | 0.468548i | ||||
\(956\) | −13.3748 | − | 20.3597i | −0.432571 | − | 0.658481i | ||||
\(957\) | −13.0313 | − | 23.2146i | −0.421243 | − | 0.750421i | ||||
\(958\) | −13.7035 | − | 28.5362i | −0.442739 | − | 0.921964i | ||||
\(959\) | −2.80242 | − | 2.03608i | −0.0904949 | − | 0.0657484i | ||||
\(960\) | −29.6877 | − | 8.86793i | −0.958167 | − | 0.286211i | ||||
\(961\) | 16.1352 | − | 11.7229i | 0.520489 | − | 0.378158i | ||||
\(962\) | 7.26071 | + | 3.91752i | 0.234095 | + | 0.126306i | ||||
\(963\) | −17.9717 | + | 7.48629i | −0.579130 | + | 0.241242i | ||||
\(964\) | 14.2695 | − | 17.8124i | 0.459590 | − | 0.573699i | ||||
\(965\) | 3.85572 | + | 1.39149i | 0.124120 | + | 0.0447938i | ||||
\(966\) | 0.0379294 | + | 2.26770i | 0.00122036 | + | 0.0729621i | ||||
\(967\) | 25.1367 | − | 8.16741i | 0.808341 | − | 0.262646i | 0.124446 | − | 0.992226i | \(-0.460285\pi\) |
0.683895 | + | 0.729580i | \(0.260285\pi\) | |||||||
\(968\) | −18.0564 | + | 7.64689i | −0.580353 | + | 0.245781i | ||||
\(969\) | −13.3579 | − | 12.3232i | −0.429118 | − | 0.395877i | ||||
\(970\) | 2.75762 | + | 27.1159i | 0.0885417 | + | 0.870640i | ||||
\(971\) | −10.7114 | + | 32.9664i | −0.343746 | + | 1.05794i | 0.618506 | + | 0.785780i | \(0.287738\pi\) |
−0.962252 | + | 0.272161i | \(0.912262\pi\) | |||||||
\(972\) | 18.3964 | − | 25.1709i | 0.590064 | − | 0.807356i | ||||
\(973\) | 12.6783 | − | 9.21134i | 0.406448 | − | 0.295302i | ||||
\(974\) | −0.303321 | − | 2.25798i | −0.00971903 | − | 0.0723503i | ||||
\(975\) | −37.0414 | + | 17.7625i | −1.18627 | + | 0.568856i | ||||
\(976\) | −21.6846 | + | 12.8261i | −0.694106 | + | 0.410553i | ||||
\(977\) | −5.28930 | − | 7.28009i | −0.169220 | − | 0.232911i | 0.715982 | − | 0.698119i | \(-0.245979\pi\) |
−0.885201 | + | 0.465208i | \(0.845979\pi\) | |||||||
\(978\) | −3.28974 | + | 1.13007i | −0.105194 | + | 0.0361356i | ||||
\(979\) | −24.0436 | − | 7.81223i | −0.768436 | − | 0.249680i | ||||
\(980\) | 11.0652 | − | 26.6581i | 0.353464 | − | 0.851563i | ||||
\(981\) | 24.3401 | + | 5.79205i | 0.777119 | + | 0.184926i | ||||
\(982\) | 23.9842 | − | 3.22187i | 0.765367 | − | 0.102814i | ||||
\(983\) | −2.21968 | − | 6.83147i | −0.0707968 | − | 0.217890i | 0.909398 | − | 0.415928i | \(-0.136543\pi\) |
−0.980194 | + | 0.198038i | \(0.936543\pi\) | |||||||
\(984\) | −2.38459 | − | 8.17581i | −0.0760179 | − | 0.260635i | ||||
\(985\) | 18.6153 | + | 14.4624i | 0.593132 | + | 0.460812i | ||||
\(986\) | −27.5057 | + | 26.2400i | −0.875961 | + | 0.835652i | ||||
\(987\) | −1.51476 | + | 12.9088i | −0.0482154 | + | 0.410891i | ||||
\(988\) | 9.97561 | − | 26.4022i | 0.317366 | − | 0.839967i | ||||
\(989\) | 1.80160 | + | 2.47970i | 0.0572877 | + | 0.0788497i | ||||
\(990\) | 2.52327 | − | 18.9653i | 0.0801948 | − | 0.602758i | ||||
\(991\) | −24.4206 | + | 33.6121i | −0.775745 | + | 1.06772i | 0.219993 | + | 0.975501i | \(0.429397\pi\) |
−0.995739 | + | 0.0922206i | \(0.970603\pi\) | |||||||
\(992\) | −22.4290 | + | 33.5731i | −0.712121 | + | 1.06595i | ||||
\(993\) | 9.55775 | + | 17.0266i | 0.303306 | + | 0.540323i | ||||
\(994\) | −13.1972 | + | 6.33747i | −0.418590 | + | 0.201012i | ||||
\(995\) | 15.0814 | − | 41.7894i | 0.478113 | − | 1.32481i | ||||
\(996\) | 4.44377 | + | 8.87047i | 0.140806 | + | 0.281072i | ||||
\(997\) | 8.76401 | − | 26.9728i | 0.277559 | − | 0.854239i | −0.710972 | − | 0.703220i | \(-0.751745\pi\) |
0.988531 | − | 0.151018i | \(-0.0482552\pi\) | |||||||
\(998\) | 10.5088 | + | 11.0157i | 0.332650 | + | 0.348696i | ||||
\(999\) | −0.231719 | + | 6.38620i | −0.00733126 | + | 0.202050i |
(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.n.a.11.13 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.n.a.11.44 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.n.a.11.47 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.n.a.11.10 | ✓ | 224 | |
25.16 | even | 5 | inner | 300.2.n.a.191.10 | yes | 224 | |
75.41 | odd | 10 | inner | 300.2.n.a.191.47 | yes | 224 | |
100.91 | odd | 10 | inner | 300.2.n.a.191.44 | yes | 224 | |
300.191 | even | 10 | inner | 300.2.n.a.191.13 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.n.a.11.10 | ✓ | 224 | 12.11 | even | 2 | inner | |
300.2.n.a.11.13 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.n.a.11.44 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.n.a.11.47 | yes | 224 | 4.3 | odd | 2 | inner | |
300.2.n.a.191.10 | yes | 224 | 25.16 | even | 5 | inner | |
300.2.n.a.191.13 | yes | 224 | 300.191 | even | 10 | inner | |
300.2.n.a.191.44 | yes | 224 | 100.91 | odd | 10 | inner | |
300.2.n.a.191.47 | yes | 224 | 75.41 | odd | 10 | inner |