Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [224,2,Mod(3,224)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(224, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([12, 9, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("224.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 224 = 2^{5} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 224.be (of order \(24\), degree \(8\), 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: | \(1.78864900528\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(30\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 115.4 | ||
Character | \(\chi\) | \(=\) | 224.115 |
Dual form | 224.2.be.a.187.4 |
$q$-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 \(\left(\mathbb{Z}/224\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(129\) | \(197\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{7}{8}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.25335 | + | 0.655068i | −0.886252 | + | 0.463203i | ||||
\(3\) | −1.36290 | − | 1.77617i | −0.786871 | − | 1.02547i | −0.998838 | − | 0.0481934i | \(-0.984654\pi\) |
0.211967 | − | 0.977277i | \(-0.432013\pi\) | |||||||
\(4\) | 1.14177 | − | 1.64206i | 0.570886 | − | 0.821030i | ||||
\(5\) | −1.70413 | + | 2.22087i | −0.762112 | + | 0.993203i | 0.237650 | + | 0.971351i | \(0.423623\pi\) |
−0.999761 | + | 0.0218522i | \(0.993044\pi\) | |||||||
\(6\) | 2.87170 | + | 1.33337i | 1.17237 | + | 0.544344i | ||||
\(7\) | −0.279051 | − | 2.63099i | −0.105471 | − | 0.994422i | ||||
\(8\) | −0.355379 | + | 2.80601i | −0.125645 | + | 0.992075i | ||||
\(9\) | −0.520812 | + | 1.94370i | −0.173604 | + | 0.647900i | ||||
\(10\) | 0.681054 | − | 3.89985i | 0.215368 | − | 1.23324i | ||||
\(11\) | −0.192495 | + | 1.46215i | −0.0580395 | + | 0.440854i | 0.937611 | + | 0.347686i | \(0.113033\pi\) |
−0.995650 | + | 0.0931675i | \(0.970301\pi\) | |||||||
\(12\) | −4.47269 | + | 0.209987i | −1.29115 | + | 0.0606180i | ||||
\(13\) | −0.943125 | + | 2.27690i | −0.261576 | + | 0.631500i | −0.999036 | − | 0.0438905i | \(-0.986025\pi\) |
0.737461 | + | 0.675390i | \(0.236025\pi\) | |||||||
\(14\) | 2.07323 | + | 3.11476i | 0.554094 | + | 0.832454i | ||||
\(15\) | 6.26720 | 1.61818 | ||||||||
\(16\) | −1.39272 | − | 3.74971i | −0.348179 | − | 0.937428i | ||||
\(17\) | −3.38999 | + | 5.87164i | −0.822194 | + | 1.42408i | 0.0818504 | + | 0.996645i | \(0.473917\pi\) |
−0.904045 | + | 0.427438i | \(0.859416\pi\) | |||||||
\(18\) | −0.620495 | − | 2.77730i | −0.146252 | − | 0.654616i | ||||
\(19\) | 1.08500 | + | 8.24141i | 0.248917 | + | 1.89071i | 0.423234 | + | 0.906020i | \(0.360895\pi\) |
−0.174317 | + | 0.984690i | \(0.555772\pi\) | |||||||
\(20\) | 1.70107 | + | 5.33401i | 0.380370 | + | 1.19272i | ||||
\(21\) | −4.29277 | + | 4.08142i | −0.936758 | + | 0.890640i | ||||
\(22\) | −0.716542 | − | 1.95868i | −0.152767 | − | 0.417592i | ||||
\(23\) | −3.73568 | − | 1.00097i | −0.778943 | − | 0.208717i | −0.152624 | − | 0.988284i | \(-0.548772\pi\) |
−0.626318 | + | 0.779567i | \(0.715439\pi\) | |||||||
\(24\) | 5.46829 | − | 3.19310i | 1.11621 | − | 0.651790i | ||||
\(25\) | −0.734097 | − | 2.73969i | −0.146819 | − | 0.547938i | ||||
\(26\) | −0.309462 | − | 3.47157i | −0.0606906 | − | 0.680831i | ||||
\(27\) | −2.04302 | + | 0.846247i | −0.393180 | + | 0.162860i | ||||
\(28\) | −4.63886 | − | 2.54578i | −0.876662 | − | 0.481107i | ||||
\(29\) | 1.45199 | − | 3.50542i | 0.269628 | − | 0.650940i | −0.729837 | − | 0.683621i | \(-0.760404\pi\) |
0.999466 | + | 0.0326802i | \(0.0104043\pi\) | |||||||
\(30\) | −7.85499 | + | 4.10544i | −1.43412 | + | 0.749548i | ||||
\(31\) | 2.28997 | − | 3.96634i | 0.411291 | − | 0.712377i | −0.583740 | − | 0.811940i | \(-0.698411\pi\) |
0.995031 | + | 0.0995638i | \(0.0317447\pi\) | |||||||
\(32\) | 4.20188 | + | 3.78738i | 0.742794 | + | 0.669520i | ||||
\(33\) | 2.85937 | − | 1.65086i | 0.497752 | − | 0.287377i | ||||
\(34\) | 0.402523 | − | 9.57990i | 0.0690321 | − | 1.64294i | ||||
\(35\) | 6.31864 | + | 3.86383i | 1.06804 | + | 0.653106i | ||||
\(36\) | 2.59702 | + | 3.07446i | 0.432837 | + | 0.512411i | ||||
\(37\) | −1.86727 | − | 1.43281i | −0.306978 | − | 0.235553i | 0.443771 | − | 0.896140i | \(-0.353640\pi\) |
−0.750749 | + | 0.660588i | \(0.770307\pi\) | |||||||
\(38\) | −6.75857 | − | 9.61862i | −1.09639 | − | 1.56035i | ||||
\(39\) | 5.32955 | − | 1.42805i | 0.853410 | − | 0.228671i | ||||
\(40\) | −5.62618 | − | 5.57107i | −0.889577 | − | 0.880863i | ||||
\(41\) | −2.36106 | + | 2.36106i | −0.368736 | + | 0.368736i | −0.867016 | − | 0.498280i | \(-0.833965\pi\) |
0.498280 | + | 0.867016i | \(0.333965\pi\) | |||||||
\(42\) | 2.70673 | − | 7.92751i | 0.417657 | − | 1.22324i | ||||
\(43\) | −7.51478 | + | 3.11272i | −1.14599 | + | 0.474686i | −0.873188 | − | 0.487384i | \(-0.837951\pi\) |
−0.272805 | + | 0.962069i | \(0.587951\pi\) | |||||||
\(44\) | 2.18115 | + | 1.98553i | 0.328820 | + | 0.299329i | ||||
\(45\) | −3.42917 | − | 4.46898i | −0.511190 | − | 0.666196i | ||||
\(46\) | 5.33782 | − | 1.19256i | 0.787018 | − | 0.175833i | ||||
\(47\) | 6.98275 | − | 4.03149i | 1.01854 | − | 0.588054i | 0.104859 | − | 0.994487i | \(-0.466561\pi\) |
0.913680 | + | 0.406433i | \(0.133228\pi\) | |||||||
\(48\) | −4.76198 | + | 7.58418i | −0.687333 | + | 1.09468i | ||||
\(49\) | −6.84426 | + | 1.46836i | −0.977752 | + | 0.209766i | ||||
\(50\) | 2.71476 | + | 2.95290i | 0.383925 | + | 0.417604i | ||||
\(51\) | 15.0492 | − | 1.98127i | 2.10731 | − | 0.277433i | ||||
\(52\) | 2.66198 | + | 4.14837i | 0.369150 | + | 0.575276i | ||||
\(53\) | 0.948037 | + | 0.124811i | 0.130223 | + | 0.0171442i | 0.195356 | − | 0.980732i | \(-0.437414\pi\) |
−0.0651329 | + | 0.997877i | \(0.520747\pi\) | |||||||
\(54\) | 2.00627 | − | 2.39896i | 0.273019 | − | 0.326457i | ||||
\(55\) | −2.91920 | − | 2.91920i | −0.393625 | − | 0.393625i | ||||
\(56\) | 7.48177 | + | 0.151979i | 0.999794 | + | 0.0203091i | ||||
\(57\) | 13.1594 | − | 13.1594i | 1.74300 | − | 1.74300i | ||||
\(58\) | 0.476435 | + | 5.34467i | 0.0625589 | + | 0.701790i | ||||
\(59\) | 0.136791 | − | 1.03903i | 0.0178087 | − | 0.135270i | −0.980231 | − | 0.197857i | \(-0.936602\pi\) |
0.998040 | + | 0.0625870i | \(0.0199351\pi\) | |||||||
\(60\) | 7.15571 | − | 10.2911i | 0.923798 | − | 1.32858i | ||||
\(61\) | 0.838308 | + | 6.36758i | 0.107334 | + | 0.815285i | 0.957432 | + | 0.288660i | \(0.0932096\pi\) |
−0.850097 | + | 0.526625i | \(0.823457\pi\) | |||||||
\(62\) | −0.271908 | + | 6.47130i | −0.0345323 | + | 0.821856i | ||||
\(63\) | 5.25919 | + | 0.827864i | 0.662596 | + | 0.104301i | ||||
\(64\) | −7.74741 | − | 1.99439i | −0.968427 | − | 0.249299i | ||||
\(65\) | −3.44950 | − | 5.97471i | −0.427858 | − | 0.741071i | ||||
\(66\) | −2.50236 | + | 3.94218i | −0.308020 | + | 0.485249i | ||||
\(67\) | 1.71169 | − | 1.31342i | 0.209116 | − | 0.160460i | −0.498893 | − | 0.866663i | \(-0.666260\pi\) |
0.708009 | + | 0.706203i | \(0.249593\pi\) | |||||||
\(68\) | 5.77098 | + | 12.2706i | 0.699835 | + | 1.48803i | ||||
\(69\) | 3.31346 | + | 7.99941i | 0.398894 | + | 0.963016i | ||||
\(70\) | −10.4505 | − | 0.703594i | −1.24908 | − | 0.0840956i | ||||
\(71\) | −8.54607 | − | 8.54607i | −1.01423 | − | 1.01423i | −0.999897 | − | 0.0143346i | \(-0.995437\pi\) |
−0.0143346 | − | 0.999897i | \(-0.504563\pi\) | |||||||
\(72\) | −5.26896 | − | 2.15216i | −0.620953 | − | 0.253634i | ||||
\(73\) | −2.13008 | − | 7.94956i | −0.249307 | − | 0.930426i | −0.971170 | − | 0.238390i | \(-0.923380\pi\) |
0.721863 | − | 0.692036i | \(-0.243286\pi\) | |||||||
\(74\) | 3.27894 | + | 0.572620i | 0.381169 | + | 0.0665658i | ||||
\(75\) | −3.86564 | + | 5.03780i | −0.446366 | + | 0.581715i | ||||
\(76\) | 14.7717 | + | 7.62817i | 1.69443 | + | 0.875011i | ||||
\(77\) | 3.90062 | + | 0.0984410i | 0.444516 | + | 0.0112184i | ||||
\(78\) | −5.74432 | + | 5.28106i | −0.650416 | + | 0.597962i | ||||
\(79\) | 4.04523 | + | 7.00654i | 0.455124 | + | 0.788297i | 0.998695 | − | 0.0510654i | \(-0.0162617\pi\) |
−0.543572 | + | 0.839363i | \(0.682928\pi\) | |||||||
\(80\) | 10.7010 | + | 3.29697i | 1.19641 | + | 0.368612i | ||||
\(81\) | 9.51553 | + | 5.49379i | 1.05728 | + | 0.610421i | ||||
\(82\) | 1.41258 | − | 4.50590i | 0.155993 | − | 0.497593i | ||||
\(83\) | −14.6175 | − | 6.05475i | −1.60447 | − | 0.664595i | −0.612434 | − | 0.790522i | \(-0.709810\pi\) |
−0.992040 | + | 0.125927i | \(0.959810\pi\) | |||||||
\(84\) | 1.80058 | + | 11.7090i | 0.196460 | + | 1.27756i | ||||
\(85\) | −7.26315 | − | 17.5348i | −0.787799 | − | 1.90192i | ||||
\(86\) | 7.37960 | − | 8.82402i | 0.795762 | − | 0.951518i | ||||
\(87\) | −8.20513 | + | 2.19856i | −0.879683 | + | 0.235710i | ||||
\(88\) | −4.03439 | − | 1.05976i | −0.430068 | − | 0.112971i | ||||
\(89\) | −3.44538 | + | 12.8583i | −0.365210 | + | 1.36298i | 0.501926 | + | 0.864910i | \(0.332625\pi\) |
−0.867136 | + | 0.498071i | \(0.834042\pi\) | |||||||
\(90\) | 7.22543 | + | 3.35485i | 0.761627 | + | 0.353633i | ||||
\(91\) | 6.25370 | + | 1.84598i | 0.655566 | + | 0.193512i | ||||
\(92\) | −5.90894 | + | 4.99132i | −0.616050 | + | 0.520381i | ||||
\(93\) | −10.1659 | + | 1.33836i | −1.05415 | + | 0.138782i | ||||
\(94\) | −6.11093 | + | 9.62705i | −0.630294 | + | 0.992954i | ||||
\(95\) | −20.1521 | − | 11.6348i | −2.06756 | − | 1.19371i | ||||
\(96\) | 1.00027 | − | 12.6251i | 0.102090 | − | 1.28854i | ||||
\(97\) | − | 1.00276i | − | 0.101814i | −0.998703 | − | 0.0509072i | \(-0.983789\pi\) | ||
0.998703 | − | 0.0509072i | \(-0.0162113\pi\) | |||||||
\(98\) | 7.61638 | − | 6.32383i | 0.769370 | − | 0.638803i | ||||
\(99\) | −2.74172 | − | 1.13566i | −0.275553 | − | 0.114138i | ||||
\(100\) | −5.33690 | − | 1.92267i | −0.533690 | − | 0.192267i | ||||
\(101\) | −3.55496 | − | 0.468020i | −0.353732 | − | 0.0465697i | −0.0484335 | − | 0.998826i | \(-0.515423\pi\) |
−0.305298 | + | 0.952257i | \(0.598756\pi\) | |||||||
\(102\) | −17.5641 | + | 12.3415i | −1.73910 | + | 1.22199i | ||||
\(103\) | −8.90936 | − | 2.38726i | −0.877865 | − | 0.235223i | −0.208379 | − | 0.978048i | \(-0.566819\pi\) |
−0.669486 | + | 0.742825i | \(0.733486\pi\) | |||||||
\(104\) | −6.05386 | − | 3.45558i | −0.593629 | − | 0.338848i | ||||
\(105\) | −1.74887 | − | 16.4890i | −0.170672 | − | 1.60916i | ||||
\(106\) | −1.26998 | + | 0.464597i | −0.123352 | + | 0.0451256i | ||||
\(107\) | 2.17418 | + | 1.66831i | 0.210186 | + | 0.161282i | 0.708490 | − | 0.705721i | \(-0.249377\pi\) |
−0.498303 | + | 0.867003i | \(0.666043\pi\) | |||||||
\(108\) | −0.943076 | + | 4.32098i | −0.0907475 | + | 0.415787i | ||||
\(109\) | −4.63907 | + | 3.55968i | −0.444342 | + | 0.340956i | −0.806575 | − | 0.591132i | \(-0.798681\pi\) |
0.362233 | + | 0.932088i | \(0.382015\pi\) | |||||||
\(110\) | 5.57105 | + | 1.74650i | 0.531179 | + | 0.166523i | ||||
\(111\) | 5.26937i | 0.500146i | ||||||||
\(112\) | −9.47683 | + | 4.71059i | −0.895477 | + | 0.445109i | ||||
\(113\) | 11.7791i | 1.10809i | 0.832488 | + | 0.554043i | \(0.186916\pi\) | ||||
−0.832488 | + | 0.554043i | \(0.813084\pi\) | |||||||
\(114\) | −7.87301 | + | 25.1136i | −0.737375 | + | 2.35210i | ||||
\(115\) | 8.58912 | − | 6.59066i | 0.800940 | − | 0.614583i | ||||
\(116\) | −4.09826 | − | 6.38665i | −0.380514 | − | 0.592985i | ||||
\(117\) | −3.93442 | − | 3.01899i | −0.363738 | − | 0.279106i | ||||
\(118\) | 0.509189 | + | 1.39188i | 0.0468747 | + | 0.128133i | ||||
\(119\) | 16.3942 | + | 7.28057i | 1.50286 | + | 0.667409i | ||||
\(120\) | −2.22723 | + | 17.5858i | −0.203317 | + | 1.60536i | ||||
\(121\) | 8.52437 | + | 2.28410i | 0.774942 | + | 0.207645i | ||||
\(122\) | −5.22189 | − | 7.43166i | −0.472768 | − | 0.672831i | ||||
\(123\) | 7.41154 | + | 0.975747i | 0.668276 | + | 0.0879802i | ||||
\(124\) | −3.89835 | − | 8.28893i | −0.350082 | − | 0.744367i | ||||
\(125\) | −5.59580 | − | 2.31786i | −0.500504 | − | 0.207315i | ||||
\(126\) | −7.13392 | + | 2.40753i | −0.635540 | + | 0.214479i | ||||
\(127\) | 12.9896i | 1.15264i | 0.817223 | + | 0.576321i | \(0.195512\pi\) | ||||
−0.817223 | + | 0.576321i | \(0.804488\pi\) | |||||||
\(128\) | 11.0167 | − | 2.57541i | 0.973746 | − | 0.227636i | ||||
\(129\) | 15.7706 | + | 9.10516i | 1.38852 | + | 0.801665i | ||||
\(130\) | 8.23727 | + | 5.22874i | 0.722456 | + | 0.458591i | ||||
\(131\) | 3.33354 | − | 0.438869i | 0.291253 | − | 0.0383442i | 0.0165160 | − | 0.999864i | \(-0.494743\pi\) |
0.274737 | + | 0.961519i | \(0.411409\pi\) | |||||||
\(132\) | 0.553940 | − | 6.58015i | 0.0482143 | − | 0.572729i | ||||
\(133\) | 21.3803 | − | 5.15441i | 1.85391 | − | 0.446944i | ||||
\(134\) | −1.28496 | + | 2.76745i | −0.111004 | + | 0.239071i | ||||
\(135\) | 1.60218 | − | 5.97940i | 0.137893 | − | 0.514625i | ||||
\(136\) | −15.2712 | − | 11.5990i | −1.30949 | − | 0.994608i | ||||
\(137\) | 21.4128 | − | 5.73754i | 1.82942 | − | 0.490191i | 0.831551 | − | 0.555449i | \(-0.187454\pi\) |
0.997868 | + | 0.0652578i | \(0.0207870\pi\) | |||||||
\(138\) | −9.39309 | − | 7.85551i | −0.799593 | − | 0.668706i | ||||
\(139\) | −6.87092 | − | 16.5879i | −0.582784 | − | 1.40697i | −0.890279 | − | 0.455416i | \(-0.849491\pi\) |
0.307495 | − | 0.951550i | \(-0.400509\pi\) | |||||||
\(140\) | 13.5591 | − | 5.96396i | 1.14595 | − | 0.504047i | ||||
\(141\) | −16.6774 | − | 6.90800i | −1.40449 | − | 0.581759i | ||||
\(142\) | 16.3095 | + | 5.11296i | 1.36866 | + | 0.429070i | ||||
\(143\) | −3.14762 | − | 1.81728i | −0.263217 | − | 0.151969i | ||||
\(144\) | 8.01365 | − | 0.754123i | 0.667805 | − | 0.0628436i | ||||
\(145\) | 5.31070 | + | 9.19839i | 0.441029 | + | 0.763885i | ||||
\(146\) | 7.87724 | + | 8.56824i | 0.651925 | + | 0.709112i | ||||
\(147\) | 11.9361 | + | 10.1553i | 0.984473 | + | 0.837596i | ||||
\(148\) | −4.48476 | + | 1.43023i | −0.368645 | + | 0.117564i | ||||
\(149\) | −7.21399 | + | 9.40146i | −0.590993 | + | 0.770198i | −0.989117 | − | 0.147134i | \(-0.952995\pi\) |
0.398123 | + | 0.917332i | \(0.369662\pi\) | |||||||
\(150\) | 1.54490 | − | 8.84638i | 0.126140 | − | 0.722304i | ||||
\(151\) | 0.697481 | + | 2.60303i | 0.0567602 | + | 0.211832i | 0.988481 | − | 0.151342i | \(-0.0483596\pi\) |
−0.931721 | + | 0.363174i | \(0.881693\pi\) | |||||||
\(152\) | −23.5111 | + | 0.115710i | −1.90700 | + | 0.00938528i | ||||
\(153\) | −9.64715 | − | 9.64715i | −0.779926 | − | 0.779926i | ||||
\(154\) | −4.95332 | + | 2.43179i | −0.399150 | + | 0.195959i | ||||
\(155\) | 4.90632 | + | 11.8449i | 0.394085 | + | 0.951406i | ||||
\(156\) | 3.74019 | − | 10.3819i | 0.299455 | − | 0.831220i | ||||
\(157\) | −3.21409 | + | 2.46626i | −0.256513 | + | 0.196829i | −0.729010 | − | 0.684503i | \(-0.760019\pi\) |
0.472497 | + | 0.881332i | \(0.343353\pi\) | |||||||
\(158\) | −9.65985 | − | 6.13175i | −0.768496 | − | 0.487816i | ||||
\(159\) | −1.07039 | − | 1.85398i | −0.0848878 | − | 0.147030i | ||||
\(160\) | −15.5718 | + | 2.87763i | −1.23106 | + | 0.227496i | ||||
\(161\) | −1.59111 | + | 10.1079i | −0.125397 | + | 0.796612i | ||||
\(162\) | −15.5251 | − | 0.652325i | −1.21977 | − | 0.0512515i | ||||
\(163\) | −0.247177 | − | 1.87750i | −0.0193604 | − | 0.147057i | 0.979034 | − | 0.203695i | \(-0.0652952\pi\) |
−0.998395 | + | 0.0566383i | \(0.981962\pi\) | |||||||
\(164\) | 1.18121 | + | 6.57280i | 0.0922371 | + | 0.513250i | ||||
\(165\) | −1.20641 | + | 9.16356i | −0.0939186 | + | 0.713382i | ||||
\(166\) | 22.2871 | − | 1.98671i | 1.72981 | − | 0.154199i | ||||
\(167\) | −0.499681 | + | 0.499681i | −0.0386665 | + | 0.0386665i | −0.726176 | − | 0.687509i | \(-0.758704\pi\) |
0.687509 | + | 0.726176i | \(0.258704\pi\) | |||||||
\(168\) | −9.92697 | − | 13.4960i | −0.765882 | − | 1.04124i | ||||
\(169\) | 4.89758 | + | 4.89758i | 0.376737 | + | 0.376737i | ||||
\(170\) | 20.5898 | + | 17.2194i | 1.57916 | + | 1.32067i | ||||
\(171\) | −16.5839 | − | 2.18331i | −1.26820 | − | 0.166962i | ||||
\(172\) | −3.46888 | + | 15.8937i | −0.264500 | + | 1.21188i | ||||
\(173\) | −4.72319 | + | 0.621820i | −0.359097 | + | 0.0472761i | −0.307917 | − | 0.951413i | \(-0.599632\pi\) |
−0.0511808 | + | 0.998689i | \(0.516298\pi\) | |||||||
\(174\) | 8.84370 | − | 8.13049i | 0.670439 | − | 0.616371i | ||||
\(175\) | −7.00325 | + | 2.69592i | −0.529396 | + | 0.203792i | ||||
\(176\) | 5.75072 | − | 1.31455i | 0.433477 | − | 0.0990881i | ||||
\(177\) | −2.03192 | + | 1.17313i | −0.152729 | + | 0.0881780i | ||||
\(178\) | −4.10482 | − | 18.3730i | −0.307669 | − | 1.37711i | ||||
\(179\) | −7.66412 | − | 9.98807i | −0.572843 | − | 0.746544i | 0.413634 | − | 0.910443i | \(-0.364259\pi\) |
−0.986477 | + | 0.163900i | \(0.947593\pi\) | |||||||
\(180\) | −11.2537 | + | 0.528344i | −0.838798 | + | 0.0393804i | ||||
\(181\) | 20.1372 | − | 8.34108i | 1.49678 | − | 0.619988i | 0.524003 | − | 0.851717i | \(-0.324438\pi\) |
0.972780 | + | 0.231729i | \(0.0744381\pi\) | |||||||
\(182\) | −9.04732 | + | 1.78294i | −0.670632 | + | 0.132160i | ||||
\(183\) | 10.1674 | − | 10.1674i | 0.751592 | − | 0.751592i | ||||
\(184\) | 4.13632 | − | 10.1266i | 0.304933 | − | 0.746545i | ||||
\(185\) | 6.36417 | − | 1.70527i | 0.467903 | − | 0.125374i | ||||
\(186\) | 11.8647 | − | 8.33679i | 0.869962 | − | 0.611283i | ||||
\(187\) | −7.93264 | − | 6.08693i | −0.580092 | − | 0.445121i | ||||
\(188\) | 1.35276 | − | 16.0691i | 0.0986599 | − | 1.17196i | ||||
\(189\) | 2.79658 | + | 5.13903i | 0.203421 | + | 0.373809i | ||||
\(190\) | 32.8792 | + | 1.38150i | 2.38531 | + | 0.100225i | ||||
\(191\) | −5.25993 | + | 3.03682i | −0.380595 | + | 0.219737i | −0.678077 | − | 0.734991i | \(-0.737187\pi\) |
0.297482 | + | 0.954727i | \(0.403853\pi\) | |||||||
\(192\) | 7.01658 | + | 16.4789i | 0.506378 | + | 1.18926i | ||||
\(193\) | −0.329423 | + | 0.570577i | −0.0237124 | + | 0.0410710i | −0.877638 | − | 0.479324i | \(-0.840882\pi\) |
0.853926 | + | 0.520395i | \(0.174215\pi\) | |||||||
\(194\) | 0.656873 | + | 1.25680i | 0.0471608 | + | 0.0902332i | ||||
\(195\) | −5.91075 | + | 14.2698i | −0.423278 | + | 1.02188i | ||||
\(196\) | −5.40345 | + | 12.9152i | −0.385960 | + | 0.922515i | ||||
\(197\) | 7.40087 | − | 3.06554i | 0.527290 | − | 0.218411i | −0.103126 | − | 0.994668i | \(-0.532884\pi\) |
0.630416 | + | 0.776258i | \(0.282884\pi\) | |||||||
\(198\) | 4.18027 | − | 0.372637i | 0.297078 | − | 0.0264822i | ||||
\(199\) | 2.61141 | + | 9.74591i | 0.185118 | + | 0.690869i | 0.994605 | + | 0.103732i | \(0.0330785\pi\) |
−0.809487 | + | 0.587137i | \(0.800255\pi\) | |||||||
\(200\) | 7.94848 | − | 1.08626i | 0.562042 | − | 0.0768101i | ||||
\(201\) | −4.66572 | − | 1.25018i | −0.329094 | − | 0.0881806i | ||||
\(202\) | 4.76220 | − | 1.74215i | 0.335067 | − | 0.122577i | ||||
\(203\) | −9.62792 | − | 2.84200i | −0.675748 | − | 0.199469i | ||||
\(204\) | 13.9294 | − | 26.9739i | 0.975255 | − | 1.88855i | ||||
\(205\) | −1.22005 | − | 9.26718i | −0.0852118 | − | 0.647248i | ||||
\(206\) | 12.7304 | − | 2.84417i | 0.886966 | − | 0.198163i | ||||
\(207\) | 3.89117 | − | 6.73971i | 0.270455 | − | 0.468442i | ||||
\(208\) | 9.85124 | + | 0.365366i | 0.683061 | + | 0.0253336i | ||||
\(209\) | −12.2590 | −0.847974 | ||||||||
\(210\) | 12.9933 | + | 19.5208i | 0.896625 | + | 1.34706i | ||||
\(211\) | −1.95523 | + | 4.72033i | −0.134603 | + | 0.324961i | −0.976781 | − | 0.214238i | \(-0.931273\pi\) |
0.842178 | + | 0.539199i | \(0.181273\pi\) | |||||||
\(212\) | 1.28739 | − | 1.41423i | 0.0884183 | − | 0.0971295i | ||||
\(213\) | −3.53180 | + | 26.8267i | −0.241995 | + | 1.83813i | ||||
\(214\) | −3.81787 | − | 0.666738i | −0.260984 | − | 0.0455773i | ||||
\(215\) | 5.89323 | − | 21.9938i | 0.401915 | − | 1.49997i | ||||
\(216\) | −1.64853 | − | 6.03348i | −0.112169 | − | 0.410526i | ||||
\(217\) | −11.0744 | − | 4.91809i | −0.751783 | − | 0.333862i | ||||
\(218\) | 3.48254 | − | 7.50044i | 0.235868 | − | 0.507994i | ||||
\(219\) | −11.2167 | + | 14.6178i | −0.757952 | + | 0.987782i | ||||
\(220\) | −8.12656 | + | 1.46044i | −0.547892 | + | 0.0984628i | ||||
\(221\) | −10.1720 | − | 13.2564i | −0.684241 | − | 0.891721i | ||||
\(222\) | −3.45180 | − | 6.60436i | −0.231669 | − | 0.443256i | ||||
\(223\) | 9.50162 | 0.636275 | 0.318138 | − | 0.948045i | \(-0.396943\pi\) | ||||
0.318138 | + | 0.948045i | \(0.396943\pi\) | |||||||
\(224\) | 8.79203 | − | 12.1120i | 0.587442 | − | 0.809266i | ||||
\(225\) | 5.70745 | 0.380497 | ||||||||
\(226\) | −7.71613 | − | 14.7634i | −0.513269 | − | 0.982044i | ||||
\(227\) | 4.45396 | + | 5.80451i | 0.295619 | + | 0.385259i | 0.917422 | − | 0.397915i | \(-0.130266\pi\) |
−0.621803 | + | 0.783174i | \(0.713599\pi\) | |||||||
\(228\) | −6.58347 | − | 36.6335i | −0.436001 | − | 2.42611i | ||||
\(229\) | 10.8603 | − | 14.1534i | 0.717669 | − | 0.935284i | −0.282040 | − | 0.959403i | \(-0.591011\pi\) |
0.999709 | + | 0.0241182i | \(0.00767780\pi\) | |||||||
\(230\) | −6.44784 | + | 13.8869i | −0.425158 | + | 0.915673i | ||||
\(231\) | −5.14130 | − | 7.06231i | −0.338273 | − | 0.464666i | ||||
\(232\) | 9.32025 | + | 5.32006i | 0.611904 | + | 0.349279i | ||||
\(233\) | −0.676776 | + | 2.52576i | −0.0443370 | + | 0.165468i | −0.984545 | − | 0.175134i | \(-0.943964\pi\) |
0.940208 | + | 0.340602i | \(0.110631\pi\) | |||||||
\(234\) | 6.90886 | + | 1.20653i | 0.451646 | + | 0.0788736i | ||||
\(235\) | −2.94612 | + | 22.3780i | −0.192184 | + | 1.45978i | ||||
\(236\) | −1.54997 | − | 1.41095i | −0.100894 | − | 0.0918453i | ||||
\(237\) | 6.93154 | − | 16.7342i | 0.450252 | − | 1.08700i | ||||
\(238\) | −25.3170 | + | 1.61424i | −1.64106 | + | 0.104636i | ||||
\(239\) | 18.6180 | 1.20430 | 0.602148 | − | 0.798385i | \(-0.294312\pi\) | ||||
0.602148 | + | 0.798385i | \(0.294312\pi\) | |||||||
\(240\) | −8.72843 | − | 23.5002i | −0.563417 | − | 1.51693i | ||||
\(241\) | 8.27688 | − | 14.3360i | 0.533161 | − | 0.923462i | −0.466089 | − | 0.884738i | \(-0.654337\pi\) |
0.999250 | − | 0.0387240i | \(-0.0123293\pi\) | |||||||
\(242\) | −12.1803 | + | 2.72127i | −0.782976 | + | 0.174930i | ||||
\(243\) | −2.34491 | − | 17.8114i | −0.150426 | − | 1.14260i | ||||
\(244\) | 11.4131 | + | 5.89377i | 0.730649 | + | 0.377310i | ||||
\(245\) | 8.40250 | − | 17.7025i | 0.536816 | − | 1.13097i | ||||
\(246\) | −9.92843 | + | 3.63211i | −0.633014 | + | 0.231575i | ||||
\(247\) | −19.7882 | − | 5.30223i | −1.25909 | − | 0.337373i | ||||
\(248\) | 10.3158 | + | 7.83524i | 0.655054 | + | 0.497538i | ||||
\(249\) | 9.16789 | + | 34.2150i | 0.580992 | + | 2.16829i | ||||
\(250\) | 8.53185 | − | 0.760545i | 0.539601 | − | 0.0481011i | ||||
\(251\) | −9.70839 | + | 4.02135i | −0.612788 | + | 0.253825i | −0.667420 | − | 0.744681i | \(-0.732601\pi\) |
0.0546319 | + | 0.998507i | \(0.482601\pi\) | |||||||
\(252\) | 7.36420 | − | 7.69067i | 0.463901 | − | 0.484467i | ||||
\(253\) | 2.18267 | − | 5.26943i | 0.137223 | − | 0.331286i | ||||
\(254\) | −8.50909 | − | 16.2805i | −0.533908 | − | 1.02153i | ||||
\(255\) | −21.2458 | + | 36.7987i | −1.33046 | + | 2.30443i | ||||
\(256\) | −12.1207 | + | 10.4446i | −0.757543 | + | 0.652785i | ||||
\(257\) | 0.457753 | − | 0.264284i | 0.0285538 | − | 0.0164856i | −0.485655 | − | 0.874150i | \(-0.661419\pi\) |
0.514209 | + | 0.857665i | \(0.328086\pi\) | |||||||
\(258\) | −25.7306 | − | 1.08113i | −1.60192 | − | 0.0673084i | ||||
\(259\) | −3.24865 | + | 5.31262i | −0.201861 | + | 0.330110i | ||||
\(260\) | −13.7494 | − | 1.15747i | −0.852699 | − | 0.0717832i | ||||
\(261\) | 6.05727 | + | 4.64790i | 0.374935 | + | 0.287698i | ||||
\(262\) | −3.89061 | + | 2.73375i | −0.240362 | + | 0.168892i | ||||
\(263\) | −9.77819 | + | 2.62006i | −0.602949 | + | 0.161560i | −0.547365 | − | 0.836894i | \(-0.684369\pi\) |
−0.0555846 | + | 0.998454i | \(0.517702\pi\) | |||||||
\(264\) | 3.61617 | + | 8.61010i | 0.222560 | + | 0.529915i | ||||
\(265\) | −1.89277 | + | 1.89277i | −0.116272 | + | 0.116272i | ||||
\(266\) | −23.4206 | + | 20.4659i | −1.43601 | + | 1.25484i | ||||
\(267\) | 27.5343 | − | 11.4051i | 1.68507 | − | 0.697979i | ||||
\(268\) | −0.202364 | − | 4.31032i | −0.0123613 | − | 0.263295i | ||||
\(269\) | −14.7378 | − | 19.2067i | −0.898582 | − | 1.17105i | −0.984611 | − | 0.174762i | \(-0.944084\pi\) |
0.0860290 | − | 0.996293i | \(-0.472582\pi\) | |||||||
\(270\) | 1.90883 | + | 8.54382i | 0.116168 | + | 0.519960i | ||||
\(271\) | −14.8899 | + | 8.59668i | −0.904496 | + | 0.522211i | −0.878656 | − | 0.477455i | \(-0.841559\pi\) |
−0.0258397 | + | 0.999666i | \(0.508226\pi\) | |||||||
\(272\) | 26.7383 | + | 4.53397i | 1.62125 | + | 0.274913i | ||||
\(273\) | −5.24440 | − | 13.6235i | −0.317405 | − | 0.824532i | ||||
\(274\) | −23.0792 | + | 21.2180i | −1.39427 | + | 1.28183i | ||||
\(275\) | 4.14714 | − | 0.545981i | 0.250082 | − | 0.0329239i | ||||
\(276\) | 16.9187 | + | 3.69259i | 1.01839 | + | 0.222268i | ||||
\(277\) | 28.2293 | + | 3.71646i | 1.69614 | + | 0.223301i | 0.915680 | − | 0.401909i | \(-0.131653\pi\) |
0.780457 | + | 0.625209i | \(0.214986\pi\) | |||||||
\(278\) | 19.4779 | + | 16.2895i | 1.16820 | + | 0.976979i | ||||
\(279\) | 6.51673 | + | 6.51673i | 0.390147 | + | 0.390147i | ||||
\(280\) | −13.0875 | + | 16.3570i | −0.782125 | + | 0.977521i | ||||
\(281\) | −2.85954 | + | 2.85954i | −0.170586 | + | 0.170586i | −0.787237 | − | 0.616651i | \(-0.788489\pi\) |
0.616651 | + | 0.787237i | \(0.288489\pi\) | |||||||
\(282\) | 25.4278 | − | 2.26669i | 1.51421 | − | 0.134979i | ||||
\(283\) | −1.01044 | + | 7.67504i | −0.0600643 | + | 0.456234i | 0.934813 | + | 0.355141i | \(0.115567\pi\) |
−0.994877 | + | 0.101093i | \(0.967766\pi\) | |||||||
\(284\) | −23.7908 | + | 4.27549i | −1.41172 | + | 0.253704i | ||||
\(285\) | 6.79993 | + | 51.6506i | 0.402793 | + | 3.05952i | ||||
\(286\) | 5.13551 | + | 0.215781i | 0.303669 | + | 0.0127594i | ||||
\(287\) | 6.87080 | + | 5.55309i | 0.405571 | + | 0.327788i | ||||
\(288\) | −9.54991 | + | 6.19467i | −0.562734 | + | 0.365024i | ||||
\(289\) | −14.4841 | − | 25.0872i | −0.852007 | − | 1.47572i | ||||
\(290\) | −12.6817 | − | 8.04994i | −0.744697 | − | 0.472709i | ||||
\(291\) | −1.78106 | + | 1.36666i | −0.104408 | + | 0.0801148i | ||||
\(292\) | −15.4857 | − | 5.57887i | −0.906233 | − | 0.326479i | ||||
\(293\) | 8.95439 | + | 21.6178i | 0.523121 | + | 1.26293i | 0.935955 | + | 0.352120i | \(0.114539\pi\) |
−0.412834 | + | 0.910807i | \(0.635461\pi\) | |||||||
\(294\) | −21.6125 | − | 4.90921i | −1.26047 | − | 0.286311i | ||||
\(295\) | 2.07444 | + | 2.07444i | 0.120779 | + | 0.120779i | ||||
\(296\) | 4.68407 | − | 4.73041i | 0.272256 | − | 0.274949i | ||||
\(297\) | −0.844065 | − | 3.15009i | −0.0489776 | − | 0.182787i | ||||
\(298\) | 2.88306 | − | 16.5090i | 0.167011 | − | 0.956339i | ||||
\(299\) | 5.80233 | − | 7.56174i | 0.335557 | − | 0.437307i | ||||
\(300\) | 3.85869 | + | 12.0996i | 0.222781 | + | 0.698572i | ||||
\(301\) | 10.2866 | + | 18.9027i | 0.592907 | + | 1.08953i | ||||
\(302\) | −2.57935 | − | 2.80561i | −0.148425 | − | 0.161445i | ||||
\(303\) | 4.01378 | + | 6.95207i | 0.230586 | + | 0.399386i | ||||
\(304\) | 29.3918 | − | 15.5464i | 1.68574 | − | 0.891647i | ||||
\(305\) | −15.5702 | − | 8.98943i | −0.891544 | − | 0.514733i | ||||
\(306\) | 18.4108 | + | 5.77171i | 1.05248 | + | 0.329947i | ||||
\(307\) | −7.88643 | − | 3.26667i | −0.450102 | − | 0.186438i | 0.146105 | − | 0.989269i | \(-0.453326\pi\) |
−0.596207 | + | 0.802831i | \(0.703326\pi\) | |||||||
\(308\) | 4.61526 | − | 6.29264i | 0.262979 | − | 0.358557i | ||||
\(309\) | 7.90241 | + | 19.0781i | 0.449552 | + | 1.08531i | ||||
\(310\) | −13.9086 | − | 11.6318i | −0.789953 | − | 0.660644i | ||||
\(311\) | −27.6552 | + | 7.41020i | −1.56818 | + | 0.420194i | −0.935243 | − | 0.354006i | \(-0.884819\pi\) |
−0.632941 | + | 0.774200i | \(0.718152\pi\) | |||||||
\(312\) | 2.11311 | + | 15.4623i | 0.119631 | + | 0.875379i | ||||
\(313\) | 1.31242 | − | 4.89803i | 0.0741826 | − | 0.276853i | −0.918864 | − | 0.394574i | \(-0.870892\pi\) |
0.993047 | + | 0.117721i | \(0.0375588\pi\) | |||||||
\(314\) | 2.41281 | − | 5.19654i | 0.136163 | − | 0.293257i | ||||
\(315\) | −10.8009 | + | 10.2692i | −0.608564 | + | 0.578603i | ||||
\(316\) | 16.1239 | + | 1.35737i | 0.907039 | + | 0.0763577i | ||||
\(317\) | 14.4031 | − | 1.89620i | 0.808957 | − | 0.106501i | 0.285309 | − | 0.958436i | \(-0.407904\pi\) |
0.523648 | + | 0.851935i | \(0.324571\pi\) | |||||||
\(318\) | 2.55606 | + | 1.62250i | 0.143337 | + | 0.0909853i | ||||
\(319\) | 4.84594 | + | 2.79780i | 0.271320 | + | 0.156647i | ||||
\(320\) | 17.6319 | − | 13.8073i | 0.985654 | − | 0.771851i | ||||
\(321\) | − | 6.13546i | − | 0.342448i | ||||||
\(322\) | −4.62713 | − | 13.7110i | −0.257860 | − | 0.764083i | ||||
\(323\) | −52.0688 | − | 21.5676i | −2.89718 | − | 1.20005i | ||||
\(324\) | 19.8857 | − | 9.35240i | 1.10476 | − | 0.519578i | ||||
\(325\) | 6.93035 | + | 0.912398i | 0.384427 | + | 0.0506107i | ||||
\(326\) | 1.53969 | + | 2.19124i | 0.0852754 | + | 0.121362i | ||||
\(327\) | 12.6452 | + | 3.38827i | 0.699280 | + | 0.187372i | ||||
\(328\) | −5.78610 | − | 7.46425i | −0.319484 | − | 0.412144i | ||||
\(329\) | −12.5554 | − | 17.2466i | −0.692200 | − | 0.950835i | ||||
\(330\) | −4.49071 | − | 12.2754i | −0.247205 | − | 0.675740i | ||||
\(331\) | 24.1471 | + | 18.5287i | 1.32725 | + | 1.01843i | 0.997224 | + | 0.0744587i | \(0.0237229\pi\) |
0.330022 | + | 0.943973i | \(0.392944\pi\) | |||||||
\(332\) | −26.6320 | + | 17.0896i | −1.46162 | + | 0.937913i | ||||
\(333\) | 3.75745 | − | 2.88319i | 0.205907 | − | 0.157998i | ||||
\(334\) | 0.298950 | − | 0.953601i | 0.0163578 | − | 0.0521787i | ||||
\(335\) | 6.03968i | 0.329983i | ||||||||
\(336\) | 21.2828 | + | 10.4124i | 1.16107 | + | 0.568042i | ||||
\(337\) | − | 2.70036i | − | 0.147098i | −0.997292 | − | 0.0735491i | \(-0.976567\pi\) | ||
0.997292 | − | 0.0735491i | \(-0.0234325\pi\) | |||||||
\(338\) | −9.34663 | − | 2.93013i | −0.508389 | − | 0.159378i | ||||
\(339\) | 20.9217 | − | 16.0538i | 1.13631 | − | 0.871921i | ||||
\(340\) | −37.0860 | − | 8.09421i | −2.01127 | − | 0.438970i | ||||
\(341\) | 5.35857 | + | 4.11177i | 0.290183 | + | 0.222665i | ||||
\(342\) | 22.2157 | − | 8.12713i | 1.20129 | − | 0.439465i | ||||
\(343\) | 5.77315 | + | 17.5975i | 0.311721 | + | 0.950174i | ||||
\(344\) | −6.06375 | − | 22.1927i | −0.326935 | − | 1.19655i | ||||
\(345\) | −23.4122 | − | 6.27329i | −1.26047 | − | 0.337743i | ||||
\(346\) | 5.51248 | − | 3.87337i | 0.296353 | − | 0.208234i | ||||
\(347\) | 28.0010 | + | 3.68640i | 1.50317 | + | 0.197896i | 0.836711 | − | 0.547645i | \(-0.184476\pi\) |
0.666459 | + | 0.745541i | \(0.267809\pi\) | |||||||
\(348\) | −5.75822 | + | 15.9836i | −0.308673 | + | 0.856809i | ||||
\(349\) | −2.69704 | − | 1.11715i | −0.144369 | − | 0.0597998i | 0.309329 | − | 0.950955i | \(-0.399896\pi\) |
−0.453698 | + | 0.891155i | \(0.649896\pi\) | |||||||
\(350\) | 7.01152 | − | 7.96653i | 0.374781 | − | 0.425829i | ||||
\(351\) | − | 5.44988i | − | 0.290893i | ||||||
\(352\) | −6.34654 | + | 5.41471i | −0.338272 | + | 0.288605i | ||||
\(353\) | 8.47425 | + | 4.89261i | 0.451039 | + | 0.260407i | 0.708269 | − | 0.705943i | \(-0.249477\pi\) |
−0.257230 | + | 0.966350i | \(0.582810\pi\) | |||||||
\(354\) | 1.77823 | − | 2.80139i | 0.0945119 | − | 0.148892i | ||||
\(355\) | 33.5433 | − | 4.41607i | 1.78030 | − | 0.234380i | ||||
\(356\) | 17.1803 | + | 20.3388i | 0.910555 | + | 1.07795i | ||||
\(357\) | −9.41221 | − | 39.0416i | −0.498147 | − | 2.06630i | ||||
\(358\) | 16.1487 | + | 7.49803i | 0.853485 | + | 0.396283i | ||||
\(359\) | 8.29234 | − | 30.9474i | 0.437653 | − | 1.63334i | −0.296983 | − | 0.954883i | \(-0.595980\pi\) |
0.734636 | − | 0.678461i | \(-0.237353\pi\) | |||||||
\(360\) | 13.7587 | − | 8.03411i | 0.725145 | − | 0.423435i | ||||
\(361\) | −48.3911 | + | 12.9663i | −2.54690 | + | 0.682439i | ||||
\(362\) | −19.7749 | + | 23.6455i | −1.03935 | + | 1.24278i | ||||
\(363\) | −7.56093 | − | 18.2537i | −0.396846 | − | 0.958070i | ||||
\(364\) | 10.1715 | − | 8.16126i | 0.533132 | − | 0.427766i | ||||
\(365\) | 21.2849 | + | 8.81649i | 1.11410 | + | 0.461476i | ||||
\(366\) | −6.08294 | + | 19.4036i | −0.317960 | + | 1.01424i | ||||
\(367\) | 19.7133 | + | 11.3815i | 1.02903 | + | 0.594109i | 0.916706 | − | 0.399562i | \(-0.130838\pi\) |
0.112322 | + | 0.993672i | \(0.464171\pi\) | |||||||
\(368\) | 1.44938 | + | 15.4018i | 0.0755542 | + | 0.802874i | ||||
\(369\) | −3.35952 | − | 5.81887i | −0.174890 | − | 0.302918i | ||||
\(370\) | −6.85946 | + | 6.30627i | −0.356606 | + | 0.327847i | ||||
\(371\) | 0.0638279 | − | 2.52911i | 0.00331378 | − | 0.131305i | ||||
\(372\) | −9.40945 | + | 18.2211i | −0.487857 | + | 0.944720i | ||||
\(373\) | −22.0739 | + | 28.7672i | −1.14294 | + | 1.48951i | −0.298068 | + | 0.954545i | \(0.596342\pi\) |
−0.844874 | + | 0.534966i | \(0.820324\pi\) | |||||||
\(374\) | 13.9297 | + | 2.43263i | 0.720289 | + | 0.125788i | ||||
\(375\) | 3.50962 | + | 13.0981i | 0.181236 | + | 0.676382i | ||||
\(376\) | 8.83090 | + | 21.0264i | 0.455419 | + | 1.08435i | ||||
\(377\) | 6.61210 | + | 6.61210i | 0.340540 | + | 0.340540i | ||||
\(378\) | −6.87150 | − | 4.60905i | −0.353432 | − | 0.237064i | ||||
\(379\) | 3.42524 | + | 8.26926i | 0.175943 | + | 0.424764i | 0.987108 | − | 0.160053i | \(-0.0511665\pi\) |
−0.811166 | + | 0.584816i | \(0.801167\pi\) | |||||||
\(380\) | −42.1141 | + | 19.8066i | −2.16041 | + | 1.01606i | ||||
\(381\) | 23.0717 | − | 17.7036i | 1.18200 | − | 0.906981i | ||||
\(382\) | 4.60321 | − | 7.25181i | 0.235521 | − | 0.371035i | ||||
\(383\) | 7.24472 | + | 12.5482i | 0.370188 | + | 0.641185i | 0.989594 | − | 0.143886i | \(-0.0459599\pi\) |
−0.619406 | + | 0.785071i | \(0.712627\pi\) | |||||||
\(384\) | −19.5890 | − | 16.0574i | −0.999647 | − | 0.819427i | ||||
\(385\) | −6.86579 | + | 8.49500i | −0.349913 | + | 0.432945i | ||||
\(386\) | 0.0391152 | − | 0.930926i | 0.00199091 | − | 0.0473829i | ||||
\(387\) | −2.13640 | − | 16.2276i | −0.108600 | − | 0.824895i | ||||
\(388\) | −1.64658 | − | 1.14492i | −0.0835926 | − | 0.0581244i | ||||
\(389\) | 2.33024 | − | 17.7000i | 0.118148 | − | 0.897424i | −0.825019 | − | 0.565105i | \(-0.808836\pi\) |
0.943167 | − | 0.332319i | \(-0.107831\pi\) | |||||||
\(390\) | −1.93946 | − | 21.7570i | −0.0982085 | − | 1.10171i | ||||
\(391\) | 18.5413 | − | 18.5413i | 0.937672 | − | 0.937672i | ||||
\(392\) | −1.68794 | − | 19.7269i | −0.0852537 | − | 0.996359i | ||||
\(393\) | −5.32279 | − | 5.32279i | −0.268499 | − | 0.268499i | ||||
\(394\) | −7.26774 | + | 8.69027i | −0.366143 | + | 0.437809i | ||||
\(395\) | −22.4542 | − | 2.95615i | −1.12979 | − | 0.148740i | ||||
\(396\) | −4.99523 | + | 3.20540i | −0.251020 | + | 0.161078i | ||||
\(397\) | −20.7765 | + | 2.73528i | −1.04274 | + | 0.137280i | −0.632393 | − | 0.774647i | \(-0.717927\pi\) |
−0.410352 | + | 0.911927i | \(0.634594\pi\) | |||||||
\(398\) | −9.65725 | − | 10.5044i | −0.484074 | − | 0.526537i | ||||
\(399\) | −38.2944 | − | 30.9501i | −1.91712 | − | 1.54944i | ||||
\(400\) | −9.25065 | + | 6.56826i | −0.462533 | + | 0.328413i | ||||
\(401\) | −17.8948 | + | 10.3316i | −0.893624 | + | 0.515934i | −0.875126 | − | 0.483895i | \(-0.839222\pi\) |
−0.0184980 | + | 0.999829i | \(0.505888\pi\) | |||||||
\(402\) | 6.66673 | − | 1.48946i | 0.332506 | − | 0.0742873i | ||||
\(403\) | 6.87126 | + | 8.95480i | 0.342282 | + | 0.446070i | ||||
\(404\) | −4.82747 | + | 5.30309i | −0.240176 | + | 0.263838i | ||||
\(405\) | −28.4167 | + | 11.7706i | −1.41204 | + | 0.584885i | ||||
\(406\) | 13.9289 | − | 2.74493i | 0.691278 | − | 0.136229i | ||||
\(407\) | 2.45442 | − | 2.45442i | 0.121661 | − | 0.121661i | ||||
\(408\) | 0.211291 | + | 42.9325i | 0.0104605 | + | 2.12547i | ||||
\(409\) | 20.5306 | − | 5.50115i | 1.01517 | − | 0.272014i | 0.287383 | − | 0.957816i | \(-0.407215\pi\) |
0.727789 | + | 0.685801i | \(0.240548\pi\) | |||||||
\(410\) | 7.59978 | + | 10.8158i | 0.375326 | + | 0.534155i | ||||
\(411\) | −39.3743 | − | 30.2130i | −1.94219 | − | 1.49030i | ||||
\(412\) | −14.0925 | + | 11.9040i | −0.694286 | + | 0.586468i | ||||
\(413\) | −2.77186 | − | 0.0699541i | −0.136394 | − | 0.00344222i | ||||
\(414\) | −0.462032 | + | 10.9962i | −0.0227077 | + | 0.540434i | ||||
\(415\) | 38.3569 | − | 22.1454i | 1.88287 | − | 1.08707i | ||||
\(416\) | −12.5864 | + | 5.99530i | −0.617099 | + | 0.293944i | ||||
\(417\) | −20.0984 | + | 34.8115i | −0.984225 | + | 1.70473i | ||||
\(418\) | 15.3648 | − | 8.03049i | 0.751518 | − | 0.392784i | ||||
\(419\) | −4.07967 | + | 9.84919i | −0.199305 | + | 0.481164i | −0.991658 | − | 0.128899i | \(-0.958856\pi\) |
0.792353 | + | 0.610063i | \(0.208856\pi\) | |||||||
\(420\) | −29.0727 | − | 15.9549i | −1.41860 | − | 0.778519i | ||||
\(421\) | −25.5754 | + | 10.5937i | −1.24647 | + | 0.516303i | −0.905730 | − | 0.423855i | \(-0.860677\pi\) |
−0.340737 | + | 0.940159i | \(0.610677\pi\) | |||||||
\(422\) | −0.641557 | − | 7.19703i | −0.0312305 | − | 0.350346i | ||||
\(423\) | 4.19930 | + | 15.6720i | 0.204177 | + | 0.761999i | ||||
\(424\) | −0.687135 | + | 2.61585i | −0.0333702 | + | 0.127037i | ||||
\(425\) | 18.5751 | + | 4.97717i | 0.901022 | + | 0.241428i | ||||
\(426\) | −13.1467 | − | 35.9368i | −0.636961 | − | 1.74114i | ||||
\(427\) | 16.5191 | − | 3.98246i | 0.799417 | − | 0.192725i | ||||
\(428\) | 5.22189 | − | 1.66531i | 0.252409 | − | 0.0804958i | ||||
\(429\) | 1.06210 | + | 8.06747i | 0.0512788 | + | 0.389501i | ||||
\(430\) | 7.02118 | + | 31.4264i | 0.338591 | + | 1.51552i | ||||
\(431\) | −1.45011 | + | 2.51166i | −0.0698493 | + | 0.120983i | −0.898835 | − | 0.438287i | \(-0.855585\pi\) |
0.828986 | + | 0.559270i | \(0.188919\pi\) | |||||||
\(432\) | 6.01853 | + | 6.48216i | 0.289567 | + | 0.311873i | ||||
\(433\) | 27.9227 | 1.34188 | 0.670940 | − | 0.741511i | \(-0.265891\pi\) | ||||
0.670940 | + | 0.741511i | \(0.265891\pi\) | |||||||
\(434\) | 17.1018 | − | 1.09043i | 0.820915 | − | 0.0523425i | ||||
\(435\) | 9.09993 | − | 21.9692i | 0.436308 | − | 1.05334i | ||||
\(436\) | 0.548453 | + | 11.6820i | 0.0262661 | + | 0.559465i | ||||
\(437\) | 4.19620 | − | 31.8733i | 0.200732 | − | 1.52471i | ||||
\(438\) | 4.48272 | − | 25.6689i | 0.214193 | − | 1.22651i | ||||
\(439\) | −1.89825 | + | 7.08435i | −0.0905983 | + | 0.338118i | −0.996315 | − | 0.0857653i | \(-0.972666\pi\) |
0.905717 | + | 0.423883i | \(0.139333\pi\) | |||||||
\(440\) | 9.22873 | − | 7.15389i | 0.439963 | − | 0.341048i | ||||
\(441\) | 0.710525 | − | 14.0679i | 0.0338345 | − | 0.669901i | ||||
\(442\) | 21.4329 | + | 9.95155i | 1.01946 | + | 0.473347i | ||||
\(443\) | 11.7393 | − | 15.2990i | 0.557751 | − | 0.726876i | −0.426335 | − | 0.904565i | \(-0.640196\pi\) |
0.984087 | + | 0.177690i | \(0.0568623\pi\) | |||||||
\(444\) | 8.65261 | + | 6.01641i | 0.410635 | + | 0.285526i | ||||
\(445\) | −22.6853 | − | 29.5641i | −1.07539 | − | 1.40147i | ||||
\(446\) | −11.9089 | + | 6.22421i | −0.563900 | + | 0.294725i | ||||
\(447\) | 26.5305 | 1.25485 | ||||||||
\(448\) | −3.08532 | + | 20.9399i | −0.145768 | + | 0.989319i | ||||
\(449\) | −20.8686 | −0.984852 | −0.492426 | − | 0.870354i | \(-0.663890\pi\) | ||||
−0.492426 | + | 0.870354i | \(0.663890\pi\) | |||||||
\(450\) | −7.15344 | + | 3.73877i | −0.337216 | + | 0.176247i | ||||
\(451\) | −2.99773 | − | 3.90671i | −0.141157 | − | 0.183960i | ||||
\(452\) | 19.3420 | + | 13.4491i | 0.909772 | + | 0.632591i | ||||
\(453\) | 3.67282 | − | 4.78652i | 0.172564 | − | 0.224890i | ||||
\(454\) | −9.38472 | − | 4.35744i | −0.440447 | − | 0.204505i | ||||
\(455\) | −14.7568 | + | 10.7429i | −0.691811 | + | 0.503633i | ||||
\(456\) | 32.2488 | + | 41.6019i | 1.51019 | + | 1.94819i | ||||
\(457\) | −4.96796 | + | 18.5407i | −0.232391 | + | 0.867296i | 0.746916 | + | 0.664918i | \(0.231534\pi\) |
−0.979308 | + | 0.202378i | \(0.935133\pi\) | |||||||
\(458\) | −4.34030 | + | 24.8534i | −0.202809 | + | 1.16132i | ||||
\(459\) | 1.95697 | − | 14.8647i | 0.0913435 | − | 0.693823i | ||||
\(460\) | −1.01545 | − | 21.6289i | −0.0473454 | − | 1.00845i | ||||
\(461\) | 7.86022 | − | 18.9763i | 0.366087 | − | 0.883812i | −0.628296 | − | 0.777974i | \(-0.716247\pi\) |
0.994383 | − | 0.105838i | \(-0.0337526\pi\) | |||||||
\(462\) | 11.0701 | + | 5.48364i | 0.515030 | + | 0.255122i | ||||
\(463\) | −22.3488 | −1.03864 | −0.519318 | − | 0.854581i | \(-0.673814\pi\) | ||||
−0.519318 | + | 0.854581i | \(0.673814\pi\) | |||||||
\(464\) | −15.1665 | − | 0.562501i | −0.704089 | − | 0.0261135i | ||||
\(465\) | 14.3517 | − | 24.8579i | 0.665544 | − | 1.15276i | ||||
\(466\) | −0.806309 | − | 3.60900i | −0.0373515 | − | 0.167183i | ||||
\(467\) | −0.959029 | − | 7.28455i | −0.0443786 | − | 0.337089i | −0.999203 | − | 0.0399181i | \(-0.987290\pi\) |
0.954824 | − | 0.297171i | \(-0.0960430\pi\) | |||||||
\(468\) | −9.44957 | + | 3.01356i | −0.436807 | + | 0.139302i | ||||
\(469\) | −3.93326 | − | 4.13693i | −0.181621 | − | 0.191026i | ||||
\(470\) | −10.9666 | − | 29.9773i | −0.505851 | − | 1.38275i | ||||
\(471\) | 8.76098 | + | 2.34750i | 0.403684 | + | 0.108167i | ||||
\(472\) | 2.86692 | + | 0.753087i | 0.131961 | + | 0.0346636i | ||||
\(473\) | −3.10470 | − | 11.5869i | −0.142754 | − | 0.532766i | ||||
\(474\) | 2.27441 | + | 25.5145i | 0.104467 | + | 1.17192i | ||||
\(475\) | 21.7824 | − | 9.02257i | 0.999445 | − | 0.413984i | ||||
\(476\) | 30.6736 | − | 18.6076i | 1.40592 | − | 0.852876i | ||||
\(477\) | −0.736346 | + | 1.77770i | −0.0337149 | + | 0.0813951i | ||||
\(478\) | −23.3348 | + | 12.1960i | −1.06731 | + | 0.557834i | ||||
\(479\) | 14.2061 | − | 24.6056i | 0.649092 | − | 1.12426i | −0.334248 | − | 0.942485i | \(-0.608482\pi\) |
0.983340 | − | 0.181775i | \(-0.0581844\pi\) | |||||||
\(480\) | 26.3340 | + | 23.7362i | 1.20198 | + | 1.08341i | ||||
\(481\) | 5.02344 | − | 2.90029i | 0.229049 | − | 0.132242i | ||||
\(482\) | −0.982785 | + | 23.3899i | −0.0447646 | + | 1.06538i | ||||
\(483\) | 20.1218 | − | 10.9499i | 0.915573 | − | 0.498240i | ||||
\(484\) | 13.4835 | − | 11.3896i | 0.612886 | − | 0.517709i | ||||
\(485\) | 2.22699 | + | 1.70883i | 0.101122 | + | 0.0775939i | ||||
\(486\) | 14.6066 | + | 20.7878i | 0.662571 | + | 0.942953i | ||||
\(487\) | −15.5924 | + | 4.17797i | −0.706560 | + | 0.189322i | −0.594167 | − | 0.804342i | \(-0.702518\pi\) |
−0.112393 | + | 0.993664i | \(0.535851\pi\) | |||||||
\(488\) | −18.1654 | + | 0.0894009i | −0.822310 | + | 0.00404699i | ||||
\(489\) | −2.99787 | + | 2.99787i | −0.135568 | + | 0.135568i | ||||
\(490\) | 1.06508 | + | 27.6916i | 0.0481152 | + | 1.25098i | ||||
\(491\) | −3.58723 | + | 1.48588i | −0.161889 | + | 0.0670567i | −0.462156 | − | 0.886798i | \(-0.652924\pi\) |
0.300267 | + | 0.953855i | \(0.402924\pi\) | |||||||
\(492\) | 10.0645 | − | 11.0561i | 0.453743 | − | 0.498447i | ||||
\(493\) | 15.6603 | + | 20.4089i | 0.705306 | + | 0.919173i | ||||
\(494\) | 28.2749 | − | 6.31707i | 1.27215 | − | 0.284218i | ||||
\(495\) | 7.19440 | − | 4.15369i | 0.323364 | − | 0.186694i | ||||
\(496\) | −18.0619 | − | 3.06274i | −0.811005 | − | 0.137521i | ||||
\(497\) | −20.0999 | + | 24.8694i | −0.901603 | + | 1.11555i | ||||
\(498\) | −33.9038 | − | 36.8778i | −1.51926 | − | 1.65253i | ||||
\(499\) | −0.547775 | + | 0.0721160i | −0.0245218 | + | 0.00322835i | −0.142777 | − | 0.989755i | \(-0.545603\pi\) |
0.118255 | + | 0.992983i | \(0.462270\pi\) | |||||||
\(500\) | −10.1952 | + | 6.54217i | −0.455942 | + | 0.292575i | ||||
\(501\) | 1.56853 | + | 0.206501i | 0.0700769 | + | 0.00922579i | ||||
\(502\) | 9.53376 | − | 11.3998i | 0.425512 | − | 0.508799i | ||||
\(503\) | 3.75510 | + | 3.75510i | 0.167432 | + | 0.167432i | 0.785850 | − | 0.618418i | \(-0.212226\pi\) |
−0.618418 | + | 0.785850i | \(0.712226\pi\) | |||||||
\(504\) | −4.19200 | + | 14.4632i | −0.186727 | + | 0.644240i | ||||
\(505\) | 7.09754 | − | 7.09754i | 0.315836 | − | 0.315836i | ||||
\(506\) | 0.716187 | + | 8.03423i | 0.0318384 | + | 0.357165i | ||||
\(507\) | 2.02400 | − | 15.3738i | 0.0898891 | − | 0.682776i | ||||
\(508\) | 21.3297 | + | 14.8312i | 0.946354 | + | 0.658027i | ||||
\(509\) | 0.365760 | + | 2.77822i | 0.0162120 | + | 0.123143i | 0.997637 | − | 0.0687030i | \(-0.0218861\pi\) |
−0.981425 | + | 0.191845i | \(0.938553\pi\) | |||||||
\(510\) | 2.52269 | − | 60.0391i | 0.111707 | − | 2.65858i | ||||
\(511\) | −20.3209 | + | 7.82256i | −0.898942 | + | 0.346050i | ||||
\(512\) | 8.34956 | − | 21.0306i | 0.369002 | − | 0.929429i | ||||
\(513\) | −9.19095 | − | 15.9192i | −0.405791 | − | 0.702850i | ||||
\(514\) | −0.400601 | + | 0.631099i | −0.0176697 | + | 0.0278366i | ||||
\(515\) | 20.4845 | − | 15.7183i | 0.902656 | − | 0.692632i | ||||
\(516\) | 32.9576 | − | 15.5002i | 1.45088 | − | 0.682360i | ||||
\(517\) | 4.55049 | + | 10.9858i | 0.200130 | + | 0.483157i | ||||
\(518\) | 0.591571 | − | 8.78665i | 0.0259922 | − | 0.386063i | ||||
\(519\) | 7.54169 | + | 7.54169i | 0.331044 | + | 0.331044i | ||||
\(520\) | 17.9910 | − | 7.55605i | 0.788957 | − | 0.331355i | ||||
\(521\) | 11.1466 | + | 41.5998i | 0.488343 | + | 1.82252i | 0.564510 | + | 0.825426i | \(0.309065\pi\) |
−0.0761669 | + | 0.997095i | \(0.524268\pi\) | |||||||
\(522\) | −10.6366 | − | 1.85753i | −0.465550 | − | 0.0813018i | ||||
\(523\) | −11.1050 | + | 14.4723i | −0.485587 | + | 0.632830i | −0.970318 | − | 0.241834i | \(-0.922251\pi\) |
0.484730 | + | 0.874664i | \(0.338918\pi\) | |||||||
\(524\) | 3.08549 | − | 5.97496i | 0.134790 | − | 0.261017i | ||||
\(525\) | 14.3331 | + | 8.76468i | 0.625549 | + | 0.382522i | ||||
\(526\) | 10.5392 | − | 9.68923i | 0.459530 | − | 0.422471i | ||||
\(527\) | 15.5260 | + | 26.8918i | 0.676322 | + | 1.17142i | ||||
\(528\) | −10.1725 | − | 8.42263i | −0.442702 | − | 0.366548i | ||||
\(529\) | −6.96524 | − | 4.02139i | −0.302837 | − | 0.174843i | ||||
\(530\) | 1.13241 | − | 3.61220i | 0.0491888 | − | 0.156904i | ||||
\(531\) | 1.94832 | + | 0.807021i | 0.0845499 | + | 0.0350217i | ||||
\(532\) | 15.9476 | − | 40.9929i | 0.691417 | − | 1.77727i | ||||
\(533\) | −3.14914 | − | 7.60269i | −0.136404 | − | 0.329309i | ||||
\(534\) | −27.0390 | + | 32.3314i | −1.17009 | + | 1.39911i | ||||
\(535\) | −7.41020 | + | 1.98556i | −0.320371 | + | 0.0858431i | ||||
\(536\) | 3.07719 | + | 5.26978i | 0.132914 | + | 0.227620i | ||||
\(537\) | −7.29505 | + | 27.2255i | −0.314805 | + | 1.17487i | ||||
\(538\) | 31.0534 | + | 14.4185i | 1.33881 | + | 0.621624i | ||||
\(539\) | −0.829472 | − | 10.2900i | −0.0357279 | − | 0.443220i | ||||
\(540\) | −7.98921 | − | 9.45798i | −0.343801 | − | 0.407007i | ||||
\(541\) | −10.9908 | + | 1.44696i | −0.472530 | + | 0.0622097i | −0.363031 | − | 0.931777i | \(-0.618258\pi\) |
−0.109499 | + | 0.993987i | \(0.534925\pi\) | |||||||
\(542\) | 13.0308 | − | 20.5285i | 0.559722 | − | 0.881776i | ||||
\(543\) | −42.2601 | − | 24.3989i | −1.81355 | − | 1.04706i | ||||
\(544\) | −36.4825 | + | 11.8327i | −1.56417 | + | 0.507324i | ||||
\(545\) | − | 16.3689i | − | 0.701169i | ||||||
\(546\) | 15.4974 | + | 13.6396i | 0.663227 | + | 0.583720i | ||||
\(547\) | 21.9796 | + | 9.10425i | 0.939780 | + | 0.389270i | 0.799380 | − | 0.600825i | \(-0.205161\pi\) |
0.140400 | + | 0.990095i | \(0.455161\pi\) | |||||||
\(548\) | 15.0271 | − | 41.7120i | 0.641928 | − | 1.78185i | ||||
\(549\) | −12.8133 | − | 1.68690i | −0.546857 | − | 0.0719950i | ||||
\(550\) | −4.84016 | + | 3.40096i | −0.206385 | + | 0.145017i | ||||
\(551\) | 30.4650 | + | 8.16308i | 1.29785 | + | 0.347759i | ||||
\(552\) | −23.6240 | + | 6.45480i | −1.00550 | + | 0.274735i | ||||
\(553\) | 17.3053 | − | 12.5982i | 0.735898 | − | 0.535728i | ||||
\(554\) | −37.8158 | + | 13.8341i | −1.60664 | + | 0.587755i | ||||
\(555\) | −11.7026 | − | 8.97971i | −0.496747 | − | 0.381167i | ||||
\(556\) | −35.0833 | − | 7.65710i | −1.48786 | − | 0.324734i | ||||
\(557\) | 7.41909 | − | 5.69287i | 0.314357 | − | 0.241215i | −0.439516 | − | 0.898235i | \(-0.644850\pi\) |
0.753873 | + | 0.657020i | \(0.228183\pi\) | |||||||
\(558\) | −12.4367 | − | 3.89884i | −0.526485 | − | 0.165051i | ||||
\(559\) | − | 20.0461i | − | 0.847860i | ||||||
\(560\) | 5.68819 | − | 29.0743i | 0.240370 | − | 1.22861i | ||||
\(561\) | 22.3856i | 0.945120i | ||||||||
\(562\) | 1.71081 | − | 5.45719i | 0.0721661 | − | 0.230198i | ||||
\(563\) | −24.9305 | + | 19.1299i | −1.05070 | + | 0.806227i | −0.981517 | − | 0.191377i | \(-0.938705\pi\) |
−0.0691791 | + | 0.997604i | \(0.522038\pi\) | |||||||
\(564\) | −30.3851 | + | 19.4979i | −1.27944 | + | 0.821010i | ||||
\(565\) | −26.1599 | − | 20.0732i | −1.10055 | − | 0.844485i | ||||
\(566\) | −3.76124 | − | 10.2814i | −0.158097 | − | 0.432160i | ||||
\(567\) | 11.7988 | − | 26.5683i | 0.495504 | − | 1.11577i | ||||
\(568\) | 27.0175 | − | 20.9433i | 1.13363 | − | 0.878761i | ||||
\(569\) | 16.1825 | + | 4.33608i | 0.678405 | + | 0.181778i | 0.581538 | − | 0.813519i | \(-0.302451\pi\) |
0.0968670 | + | 0.995297i | \(0.469118\pi\) | |||||||
\(570\) | −42.3573 | − | 60.2818i | −1.77415 | − | 2.52493i | ||||
\(571\) | 12.6810 | + | 1.66949i | 0.530684 | + | 0.0698659i | 0.391107 | − | 0.920345i | \(-0.372092\pi\) |
0.139577 | + | 0.990211i | \(0.455426\pi\) | |||||||
\(572\) | −6.57794 | + | 3.09366i | −0.275038 | + | 0.129352i | ||||
\(573\) | 12.5627 | + | 5.20363i | 0.524813 | + | 0.217385i | ||||
\(574\) | −12.2492 | − | 2.45912i | −0.511270 | − | 0.102642i | ||||
\(575\) | 10.9694i | 0.457456i | ||||||||
\(576\) | 7.91145 | − | 14.0199i | 0.329644 | − | 0.584164i | ||||
\(577\) | −2.13777 | − | 1.23424i | −0.0889966 | − | 0.0513822i | 0.454841 | − | 0.890573i | \(-0.349696\pi\) |
−0.543838 | + | 0.839190i | \(0.683029\pi\) | |||||||
\(578\) | 34.5875 | + | 21.9550i | 1.43865 | + | 0.913207i | ||||
\(579\) | 1.46241 | − | 0.192530i | 0.0607757 | − | 0.00800127i | ||||
\(580\) | 21.1679 | + | 1.78199i | 0.878949 | + | 0.0739931i | ||||
\(581\) | −11.8510 | + | 40.1480i | −0.491662 | + | 1.66562i | ||||
\(582\) | 1.33704 | − | 2.87961i | 0.0554221 | − | 0.119364i | ||||
\(583\) | −0.364985 | + | 1.36214i | −0.0151161 | + | 0.0564142i | ||||
\(584\) | 23.0636 | − | 3.15192i | 0.954377 | − | 0.130428i | ||||
\(585\) | 13.4096 | − | 3.59308i | 0.554417 | − | 0.148556i | ||||
\(586\) | −25.3841 | − | 21.2290i | −1.04861 | − | 0.876960i | ||||
\(587\) | 2.22615 | + | 5.37441i | 0.0918832 | + | 0.221826i | 0.963139 | − | 0.269003i | \(-0.0866941\pi\) |
−0.871256 | + | 0.490829i | \(0.836694\pi\) | |||||||
\(588\) | 30.3039 | − | 8.00473i | 1.24971 | − | 0.330110i | ||||
\(589\) | 35.1729 | + | 14.5691i | 1.44927 | + | 0.600309i | ||||
\(590\) | −3.95890 | − | 1.24110i | −0.162985 | − | 0.0510953i | ||||
\(591\) | −15.5316 | − | 8.96715i | −0.638883 | − | 0.368859i | ||||
\(592\) | −2.77204 | + | 8.99724i | −0.113930 | + | 0.369784i | ||||
\(593\) | 0.667105 | + | 1.15546i | 0.0273947 | + | 0.0474490i | 0.879398 | − | 0.476088i | \(-0.157946\pi\) |
−0.852003 | + | 0.523537i | \(0.824612\pi\) | |||||||
\(594\) | 3.12144 | + | 3.39525i | 0.128074 | + | 0.139309i | ||||
\(595\) | −44.1072 | + | 24.0024i | −1.80822 | + | 0.984003i | ||||
\(596\) | 7.20102 | + | 22.5801i | 0.294965 | + | 0.924918i | ||||
\(597\) | 13.7513 | − | 17.9210i | 0.562802 | − | 0.733458i | ||||
\(598\) | −2.31889 | + | 13.2784i | −0.0948265 | + | 0.542995i | ||||
\(599\) | 1.82151 | + | 6.79796i | 0.0744248 | + | 0.277757i | 0.993102 | − | 0.117251i | \(-0.0374083\pi\) |
−0.918677 | + | 0.395009i | \(0.870742\pi\) | |||||||
\(600\) | −12.7624 | − | 12.6374i | −0.521021 | − | 0.515918i | ||||
\(601\) | −26.3534 | − | 26.3534i | −1.07498 | − | 1.07498i | −0.996951 | − | 0.0780263i | \(-0.975138\pi\) |
−0.0780263 | − | 0.996951i | \(-0.524862\pi\) | |||||||
\(602\) | −25.2752 | − | 16.9533i | −1.03014 | − | 0.690966i | ||||
\(603\) | 1.66143 | + | 4.01105i | 0.0676587 | + | 0.163343i | ||||
\(604\) | 5.07070 | + | 1.82676i | 0.206324 | + | 0.0743300i | ||||
\(605\) | −19.5993 | + | 15.0391i | −0.796826 | + | 0.611426i | ||||
\(606\) | −9.58475 | − | 6.08408i | −0.389354 | − | 0.247149i | ||||
\(607\) | 3.38930 | + | 5.87044i | 0.137567 | + | 0.238274i | 0.926575 | − | 0.376109i | \(-0.122738\pi\) |
−0.789008 | + | 0.614383i | \(0.789405\pi\) | |||||||
\(608\) | −26.6543 | + | 38.7387i | −1.08097 | + | 1.57106i | ||||
\(609\) | 8.07404 | + | 20.9742i | 0.327177 | + | 0.849916i | ||||
\(610\) | 25.4035 | + | 1.06739i | 1.02856 | + | 0.0432174i | ||||
\(611\) | 2.59372 | + | 19.7013i | 0.104931 | + | 0.797028i | ||||
\(612\) | −26.8560 | + | 4.82635i | −1.08559 | + | 0.195094i | ||||
\(613\) | 5.87814 | − | 44.6489i | 0.237416 | − | 1.80335i | −0.293535 | − | 0.955948i | \(-0.594832\pi\) |
0.530950 | − | 0.847403i | \(-0.321835\pi\) | |||||||
\(614\) | 12.0243 | − | 1.07187i | 0.485263 | − | 0.0432573i | ||||
\(615\) | −14.7973 | + | 14.7973i | −0.596683 | + | 0.596683i | ||||
\(616\) | −1.66242 | + | 10.9102i | −0.0669809 | + | 0.439584i | ||||
\(617\) | −12.0013 | − | 12.0013i | −0.483154 | − | 0.483154i | 0.422984 | − | 0.906137i | \(-0.360983\pi\) |
−0.906137 | + | 0.422984i | \(0.860983\pi\) | |||||||
\(618\) | −22.4019 | − | 18.7349i | −0.901138 | − | 0.753629i | ||||
\(619\) | 38.5027 | + | 5.06898i | 1.54755 | + | 0.203739i | 0.855384 | − | 0.517995i | \(-0.173321\pi\) |
0.692171 | + | 0.721734i | \(0.256655\pi\) | |||||||
\(620\) | 25.0519 | + | 5.46771i | 1.00611 | + | 0.219588i | ||||
\(621\) | 8.47914 | − | 1.11630i | 0.340256 | − | 0.0447956i | ||||
\(622\) | 29.8075 | − | 27.4036i | 1.19517 | − | 1.09879i | ||||
\(623\) | 34.7917 | + | 5.47665i | 1.39390 | + | 0.219417i | ||||
\(624\) | −12.7773 | − | 17.9954i | −0.511502 | − | 0.720393i | ||||
\(625\) | 26.9653 | − | 15.5684i | 1.07861 | − | 0.622738i | ||||
\(626\) | 1.56362 | + | 6.99867i | 0.0624948 | + | 0.279723i | ||||
\(627\) | 16.7078 | + | 21.7740i | 0.667246 | + | 0.869572i | ||||
\(628\) | 0.379985 | + | 8.09363i | 0.0151631 | + | 0.322971i | ||||
\(629\) | 14.7430 | − | 6.10675i | 0.587842 | − | 0.243492i | ||||
\(630\) | 6.81034 | − | 19.9462i | 0.271331 | − | 0.794677i | ||||
\(631\) | −25.4634 | + | 25.4634i | −1.01368 | + | 1.01368i | −0.0137759 | + | 0.999905i | \(0.504385\pi\) |
−0.999905 | + | 0.0137759i | \(0.995615\pi\) | |||||||
\(632\) | −21.0980 | + | 8.86099i | −0.839235 | + | 0.352471i | ||||
\(633\) | 11.0489 | − | 2.96054i | 0.439153 | − | 0.117671i | ||||
\(634\) | −16.8099 | + | 11.8116i | −0.667608 | + | 0.469098i | ||||
\(635\) | −28.8483 | − | 22.1361i | −1.14481 | − | 0.878442i | ||||
\(636\) | −4.26649 | − | 0.359168i | −0.169177 | − | 0.0142419i | ||||
\(637\) | 3.11167 | − | 16.9686i | 0.123289 | − | 0.672319i | ||||
\(638\) | −7.90641 | − | 0.332207i | −0.313018 | − | 0.0131522i | ||||
\(639\) | 21.0619 | − | 12.1601i | 0.833195 | − | 0.481045i | ||||
\(640\) | −13.0542 | + | 28.8555i | −0.516014 | + | 1.14061i | ||||
\(641\) | −12.4095 | + | 21.4938i | −0.490145 | + | 0.848956i | −0.999936 | − | 0.0113428i | \(-0.996389\pi\) |
0.509791 | + | 0.860298i | \(0.329723\pi\) | |||||||
\(642\) | 4.01914 | + | 7.68987i | 0.158623 | + | 0.303495i | ||||
\(643\) | −6.27063 | + | 15.1386i | −0.247289 | + | 0.597009i | −0.997972 | − | 0.0636536i | \(-0.979725\pi\) |
0.750683 | + | 0.660663i | \(0.229725\pi\) | |||||||
\(644\) | 14.7810 | + | 14.1536i | 0.582454 | + | 0.557729i | ||||
\(645\) | −47.0966 | + | 19.5080i | −1.85443 | + | 0.768129i | ||||
\(646\) | 79.3886 | − | 7.07686i | 3.12350 | − | 0.278435i | ||||
\(647\) | 9.85591 | + | 36.7828i | 0.387476 | + | 1.44608i | 0.834227 | + | 0.551421i | \(0.185914\pi\) |
−0.446751 | + | 0.894658i | \(0.647419\pi\) | |||||||
\(648\) | −18.7973 | + | 24.7483i | −0.738426 | + | 0.972206i | ||||
\(649\) | 1.49288 | + | 0.400017i | 0.0586008 | + | 0.0157020i | ||||
\(650\) | −9.28384 | + | 3.39630i | −0.364142 | + | 0.133214i | ||||
\(651\) | 6.35803 | + | 26.3729i | 0.249191 | + | 1.03364i | ||||
\(652\) | −3.36518 | − | 1.73779i | −0.131791 | − | 0.0680572i | ||||
\(653\) | 2.55467 | + | 19.4046i | 0.0999720 | + | 0.759363i | 0.965849 | + | 0.259106i | \(0.0834278\pi\) |
−0.865877 | + | 0.500257i | \(0.833239\pi\) | |||||||
\(654\) | −18.0684 | + | 4.03677i | −0.706530 | + | 0.157850i | ||||
\(655\) | −4.70613 | + | 8.15125i | −0.183884 | + | 0.318496i | ||||
\(656\) | 12.1416 | + | 5.56502i | 0.474050 | + | 0.217277i | ||||
\(657\) | 16.5609 | 0.646103 | ||||||||
\(658\) | 27.0340 | + | 13.3914i | 1.05389 | + | 0.522050i | ||||
\(659\) | −16.3316 | + | 39.4280i | −0.636190 | + | 1.53590i | 0.195528 | + | 0.980698i | \(0.437358\pi\) |
−0.831717 | + | 0.555199i | \(0.812642\pi\) | |||||||
\(660\) | 13.6697 | + | 12.4437i | 0.532091 | + | 0.484370i | ||||
\(661\) | 1.08911 | − | 8.27264i | 0.0423616 | − | 0.321768i | −0.957123 | − | 0.289680i | \(-0.906451\pi\) |
0.999485 | − | 0.0320879i | \(-0.0102157\pi\) | |||||||
\(662\) | −42.4024 | − | 7.40498i | −1.64802 | − | 0.287803i | ||||
\(663\) | −9.68215 | + | 36.1343i | −0.376023 | + | 1.40334i | ||||
\(664\) | 22.1844 | − | 38.8650i | 0.860923 | − | 1.50826i | ||||
\(665\) | −24.9877 | + | 56.2667i | −0.968981 | + | 2.18193i | ||||
\(666\) | −2.82071 | + | 6.07504i | −0.109300 | + | 0.235403i | ||||
\(667\) | −8.93301 | + | 11.6417i | −0.345887 | + | 0.450769i | ||||
\(668\) | 0.249984 | + | 1.39103i | 0.00967218 | + | 0.0538205i | ||||
\(669\) | −12.9498 | − | 16.8765i | −0.500667 | − | 0.652481i | ||||
\(670\) | −3.95640 | − | 7.56984i | −0.152849 | − | 0.292448i | ||||
\(671\) | −9.47171 | −0.365651 | ||||||||
\(672\) | −33.4956 | + | 0.891317i | −1.29212 | + | 0.0343833i | ||||
\(673\) | 17.2128 | 0.663505 | 0.331753 | − | 0.943366i | \(-0.392360\pi\) | ||||
0.331753 | + | 0.943366i | \(0.392360\pi\) | |||||||
\(674\) | 1.76892 | + | 3.38450i | 0.0681363 | + | 0.130366i | ||||
\(675\) | 3.81823 | + | 4.97601i | 0.146964 | + | 0.191527i | ||||
\(676\) | 13.6340 | − | 2.45020i | 0.524386 | − | 0.0942384i | ||||
\(677\) | −6.15110 | + | 8.01626i | −0.236406 | + | 0.308090i | −0.896457 | − | 0.443130i | \(-0.853868\pi\) |
0.660051 | + | 0.751221i | \(0.270535\pi\) | |||||||
\(678\) | −15.7059 | + | 33.8261i | −0.603180 | + | 1.29908i | ||||
\(679\) | −2.63824 | + | 0.279820i | −0.101247 | + | 0.0107385i | ||||
\(680\) | 51.7840 | − | 14.1490i | 1.98583 | − | 0.542589i | ||||
\(681\) | 4.23948 | − | 15.8219i | 0.162457 | − | 0.606298i | ||||
\(682\) | −9.40965 | − | 1.64326i | −0.360314 | − | 0.0629238i | ||||
\(683\) | 2.50621 | − | 19.0366i | 0.0958975 | − | 0.728414i | −0.874177 | − | 0.485607i | \(-0.838599\pi\) |
0.970075 | − | 0.242807i | \(-0.0780681\pi\) | |||||||
\(684\) | −22.5202 | + | 24.7389i | −0.861080 | + | 0.945916i | ||||
\(685\) | −23.7479 | + | 57.3326i | −0.907362 | + | 2.19057i | ||||
\(686\) | −18.7633 | − | 18.2740i | −0.716386 | − | 0.697704i | ||||
\(687\) | −39.9403 | −1.52382 | ||||||||
\(688\) | 22.1378 | + | 23.8431i | 0.843994 | + | 0.909010i | ||||
\(689\) | −1.17830 | + | 2.04088i | −0.0448897 | + | 0.0777512i | ||||
\(690\) | 33.4531 | − | 7.47398i | 1.27354 | − | 0.284530i | ||||
\(691\) | −0.0455172 | − | 0.345737i | −0.00173155 | − | 0.0131525i | 0.990557 | − | 0.137100i | \(-0.0437780\pi\) |
−0.992289 | + | 0.123947i | \(0.960445\pi\) | |||||||
\(692\) | −4.37174 | + | 8.46573i | −0.166189 | + | 0.321819i | ||||
\(693\) | −2.22283 | + | 7.53035i | −0.0844383 | + | 0.286054i | ||||
\(694\) | −37.5098 | + | 13.7222i | −1.42385 | + | 0.520887i | ||||
\(695\) | 48.5485 | + | 13.0085i | 1.84155 | + | 0.493442i | ||||
\(696\) | −3.25326 | − | 23.8050i | −0.123314 | − | 0.902327i | ||||
\(697\) | −5.85933 | − | 21.8673i | −0.221938 | − | 0.828284i | ||||
\(698\) | 4.11215 | − | 0.366565i | 0.155647 | − | 0.0138747i | ||||
\(699\) | 5.40855 | − | 2.24029i | 0.204570 | − | 0.0847357i | ||||
\(700\) | −3.56926 | + | 14.5779i | −0.134905 | + | 0.550992i | ||||
\(701\) | 13.0665 | − | 31.5452i | 0.493514 | − | 1.19145i | −0.459406 | − | 0.888226i | \(-0.651938\pi\) |
0.952920 | − | 0.303221i | \(-0.0980622\pi\) | |||||||
\(702\) | 3.57004 | + | 6.83061i | 0.134743 | + | 0.257805i | ||||
\(703\) | 9.78238 | − | 16.9436i | 0.368950 | − | 0.639039i | ||||
\(704\) | 4.40744 | − | 10.9439i | 0.166111 | − | 0.412465i | ||||
\(705\) | 43.7623 | − | 25.2662i | 1.64818 | − | 0.951579i | ||||
\(706\) | −13.8262 | − | 0.580941i | −0.520355 | − | 0.0218640i | ||||
\(707\) | −0.239343 | + | 9.48369i | −0.00900140 | + | 0.356671i | ||||
\(708\) | −0.393641 | + | 4.67599i | −0.0147939 | + | 0.175734i | ||||
\(709\) | −41.6574 | − | 31.9648i | −1.56448 | − | 1.20046i | −0.883785 | − | 0.467893i | \(-0.845013\pi\) |
−0.680690 | − | 0.732571i | \(-0.738320\pi\) | |||||||
\(710\) | −39.1487 | + | 27.5081i | −1.46923 | + | 1.03236i | ||||
\(711\) | −15.7254 | + | 4.21361i | −0.589749 | + | 0.158023i | ||||
\(712\) | −34.8563 | − | 14.2374i | −1.30629 | − | 0.533568i | ||||
\(713\) | −12.5248 | + | 12.5248i | −0.469057 | + | 0.469057i | ||||
\(714\) | 37.3717 | + | 42.7671i | 1.39860 | + | 1.60052i | ||||
\(715\) | 9.39991 | − | 3.89357i | 0.351537 | − | 0.145611i | ||||
\(716\) | −25.1517 | + | 1.18084i | −0.939962 | + | 0.0441300i | ||||
\(717\) | −25.3744 | − | 33.0686i | −0.947625 | − | 1.23497i | ||||
\(718\) | 9.87948 | + | 44.2200i | 0.368699 | + | 1.65028i | ||||
\(719\) | 8.24093 | − | 4.75790i | 0.307335 | − | 0.177440i | −0.338398 | − | 0.941003i | \(-0.609885\pi\) |
0.645733 | + | 0.763563i | \(0.276552\pi\) | |||||||
\(720\) | −11.9815 | + | 19.0824i | −0.446525 | + | 0.711159i | ||||
\(721\) | −3.79469 | + | 24.1066i | −0.141322 | + | 0.897778i | ||||
\(722\) | 52.1571 | − | 47.9508i | 1.94109 | − | 1.78454i | ||||
\(723\) | −36.7437 | + | 4.83739i | −1.36651 | + | 0.179905i | ||||
\(724\) | 9.29548 | − | 42.5900i | 0.345464 | − | 1.58285i | ||||
\(725\) | −10.6697 | − | 1.40469i | −0.396261 | − | 0.0521688i | ||||
\(726\) | 21.4339 | + | 17.9253i | 0.795486 | + | 0.665272i | ||||
\(727\) | −27.1537 | − | 27.1537i | −1.00707 | − | 1.00707i | −0.999975 | − | 0.00709972i | \(-0.997740\pi\) |
−0.00709972 | − | 0.999975i | \(-0.502260\pi\) | |||||||
\(728\) | −7.40229 | + | 16.8919i | −0.274347 | + | 0.626057i | ||||
\(729\) | −5.13187 | + | 5.13187i | −0.190069 | + | 0.190069i | ||||
\(730\) | −32.4528 | + | 2.89291i | −1.20113 | + | 0.107071i | ||||
\(731\) | 7.19826 | − | 54.6762i | 0.266237 | − | 2.02227i | ||||
\(732\) | −5.08660 | − | 28.3042i | −0.188006 | − | 1.04615i | ||||
\(733\) | −0.0178942 | − | 0.135920i | −0.000660939 | − | 0.00502033i | 0.991111 | − | 0.133036i | \(-0.0424726\pi\) |
−0.991772 | + | 0.128016i | \(0.959139\pi\) | |||||||
\(734\) | −32.1634 | − | 1.35142i | −1.18717 | − | 0.0498819i | ||||
\(735\) | −42.8943 | + | 9.20251i | −1.58218 | + | 0.339440i | ||||
\(736\) | −11.9058 | − | 18.3544i | −0.438854 | − | 0.676551i | ||||
\(737\) | 1.59093 | + | 2.75557i | 0.0586025 | + | 0.101503i | ||||
\(738\) | 8.02241 | + | 5.09236i | 0.295309 | + | 0.187452i | ||||
\(739\) | −6.76348 | + | 5.18980i | −0.248799 | + | 0.190910i | −0.725630 | − | 0.688085i | \(-0.758452\pi\) |
0.476832 | + | 0.878995i | \(0.341785\pi\) | |||||||
\(740\) | 4.46627 | − | 12.3974i | 0.164183 | − | 0.455737i | ||||
\(741\) | 17.5517 | + | 42.3736i | 0.644778 | + | 1.55663i | ||||
\(742\) | 1.57674 | + | 3.21167i | 0.0578840 | + | 0.117904i | ||||
\(743\) | −13.6464 | − | 13.6464i | −0.500636 | − | 0.500636i | 0.410999 | − | 0.911636i | \(-0.365180\pi\) |
−0.911636 | + | 0.410999i | \(0.865180\pi\) | |||||||
\(744\) | −0.142729 | − | 29.0012i | −0.00523271 | − | 1.06324i | ||||
\(745\) | −8.58581 | − | 32.0427i | −0.314560 | − | 1.17395i | ||||
\(746\) | 8.82179 | − | 50.5153i | 0.322989 | − | 1.84950i | ||||
\(747\) | 19.3816 | − | 25.2585i | 0.709134 | − | 0.924161i | ||||
\(748\) | −19.0524 | + | 6.07598i | −0.696624 | + | 0.222160i | ||||
\(749\) | 3.78261 | − | 6.18581i | 0.138213 | − | 0.226025i | ||||
\(750\) | −12.9789 | − | 14.1174i | −0.473923 | − | 0.515496i | ||||
\(751\) | −15.0064 | − | 25.9918i | −0.547590 | − | 0.948454i | −0.998439 | − | 0.0558539i | \(-0.982212\pi\) |
0.450849 | − | 0.892600i | \(-0.351121\pi\) | |||||||
\(752\) | −24.8419 | − | 20.5686i | −0.905892 | − | 0.750059i | ||||
\(753\) | 20.3742 | + | 11.7630i | 0.742476 | + | 0.428668i | ||||
\(754\) | −12.6186 | − | 3.95590i | −0.459544 | − | 0.144065i | ||||
\(755\) | −6.96960 | − | 2.88690i | −0.253650 | − | 0.105065i | ||||
\(756\) | 11.6316 | + | 1.27545i | 0.423039 | + | 0.0463878i | ||||
\(757\) | 9.17142 | + | 22.1418i | 0.333341 | + | 0.804756i | 0.998323 | + | 0.0578963i | \(0.0184393\pi\) |
−0.664982 | + | 0.746860i | \(0.731561\pi\) | |||||||
\(758\) | −9.70996 | − | 8.12051i | −0.352681 | − | 0.294950i | ||||
\(759\) | −12.3341 | + | 3.30492i | −0.447701 | + | 0.119961i | ||||
\(760\) | 39.8091 | − | 52.4123i | 1.44403 | − | 1.90119i | ||||
\(761\) | 6.72409 | − | 25.0946i | 0.243748 | − | 0.909680i | −0.730261 | − | 0.683169i | \(-0.760601\pi\) |
0.974009 | − | 0.226511i | \(-0.0727320\pi\) | |||||||
\(762\) | −17.3199 | + | 37.3023i | −0.627434 | + | 1.35132i | ||||
\(763\) | 10.6600 | + | 11.2120i | 0.385919 | + | 0.405903i | ||||
\(764\) | −1.01900 | + | 12.1045i | −0.0368660 | + | 0.437925i | ||||
\(765\) | 37.8651 | − | 4.98504i | 1.36902 | − | 0.180234i | ||||
\(766\) | −17.3001 | − | 10.9815i | −0.625079 | − | 0.396779i | ||||
\(767\) | 2.23676 | + | 1.29140i | 0.0807648 | + | 0.0466296i | ||||
\(768\) | 35.0706 | + | 7.29345i | 1.26550 | + | 0.263180i | ||||
\(769\) | 42.6140i | 1.53670i | 0.640029 | + | 0.768351i | \(0.278922\pi\) | ||||
−0.640029 | + | 0.768351i | \(0.721078\pi\) | |||||||
\(770\) | 3.04044 | − | 15.1448i | 0.109570 | − | 0.545780i | ||||
\(771\) | −1.09328 | − | 0.452853i | −0.0393736 | − | 0.0163091i | ||||
\(772\) | 0.560795 | + | 1.19240i | 0.0201835 | + | 0.0429154i | ||||
\(773\) | −2.76257 | − | 0.363699i | −0.0993628 | − | 0.0130814i | 0.0806808 | − | 0.996740i | \(-0.474291\pi\) |
−0.180044 | + | 0.983659i | \(0.557624\pi\) | |||||||
\(774\) | 13.3078 | + | 18.9394i | 0.478341 | + | 0.680762i | ||||
\(775\) | −12.5476 | − | 3.36212i | −0.450723 | − | 0.120771i | ||||
\(776\) | 2.81374 | + | 0.356358i | 0.101008 | + | 0.0127925i | ||||
\(777\) | 13.8637 | − | 1.47042i | 0.497357 | − | 0.0527510i | ||||
\(778\) | 8.67407 | + | 23.7107i | 0.310980 | + | 0.850070i | ||||
\(779\) | −22.0203 | − | 16.8967i | −0.788958 | − | 0.605389i | ||||
\(780\) | 16.6831 | + | 25.9987i | 0.597353 | + | 0.930902i | ||||
\(781\) | 14.1407 | − | 10.8505i | 0.505993 | − | 0.388262i | ||||
\(782\) | −11.0929 | + | 35.3845i | −0.396681 | + | 1.26535i | ||||
\(783\) | 8.39039i | 0.299848i | ||||||||
\(784\) | 15.0380 | + | 23.6190i | 0.537073 | + | 0.843536i | ||||
\(785\) | − | 11.3409i | − | 0.404775i | ||||||
\(786\) | 10.1581 | + | 3.18453i | 0.362328 | + | 0.113588i | ||||
\(787\) | −12.8264 | + | 9.84202i | −0.457211 | + | 0.350830i | −0.811546 | − | 0.584288i | \(-0.801374\pi\) |
0.354335 | + | 0.935118i | \(0.384707\pi\) | |||||||
\(788\) | 3.41630 | − | 15.6528i | 0.121701 | − | 0.557608i | ||||
\(789\) | 17.9804 | + | 13.7968i | 0.640118 | + | 0.491180i | ||||
\(790\) | 30.0795 | − | 11.0040i | 1.07018 | − | 0.391503i | ||||
\(791\) | 30.9908 | − | 3.28697i | 1.10191 | − | 0.116871i | ||||
\(792\) | 4.16102 | − | 7.28971i | 0.147855 | − | 0.259029i | ||||
\(793\) | −15.2890 | − | 4.09667i | −0.542928 | − | 0.145477i | ||||
\(794\) | 24.2485 | − | 17.0383i | 0.860546 | − | 0.604667i | ||||
\(795\) | 5.94154 | + | 0.782218i | 0.210725 | + | 0.0277424i | ||||
\(796\) | 18.9850 | + | 6.83952i | 0.672905 | + | 0.242420i | ||||
\(797\) | 12.3750 | + | 5.12587i | 0.438343 | + | 0.181568i | 0.590931 | − | 0.806722i | \(-0.298761\pi\) |
−0.152588 | + | 0.988290i | \(0.548761\pi\) | |||||||
\(798\) | 68.2707 | + | 13.7059i | 2.41675 | + | 0.485183i | ||||
\(799\) | 54.6670i | 1.93398i | ||||||||
\(800\) | 7.29165 | − | 14.2921i | 0.257799 | − | 0.505303i | ||||
\(801\) | −23.1983 | − | 13.3936i | −0.819673 | − | 0.473239i | ||||
\(802\) | 15.6606 | − | 24.6714i | 0.552994 | − | 0.871177i | ||||
\(803\) | 12.0335 | − | 1.58423i | 0.424651 | − | 0.0559064i | ||||
\(804\) | −7.38005 | + | 6.23397i | −0.260274 | + | 0.219855i | ||||
\(805\) | −19.7368 | − | 20.7588i | −0.695631 | − | 0.731651i | ||||
\(806\) | −14.4781 | − | 6.72235i | −0.509969 | − | 0.236785i | ||||
\(807\) | −14.0281 | + | 52.3537i | −0.493814 | + | 1.84294i | ||||
\(808\) | 2.57663 | − | 9.80894i | 0.0906454 | − | 0.345077i | ||||
\(809\) | 28.9551 | − | 7.75850i | 1.01801 | − | 0.272774i | 0.289036 | − | 0.957318i | \(-0.406665\pi\) |
0.728971 | + | 0.684544i | \(0.239999\pi\) | |||||||
\(810\) | 27.9056 | − | 33.3676i | 0.980501 | − | 1.17242i | ||||
\(811\) | 16.7169 | + | 40.3581i | 0.587008 | + | 1.41716i | 0.886349 | + | 0.463017i | \(0.153233\pi\) |
−0.299341 | + | 0.954146i | \(0.596767\pi\) | |||||||
\(812\) | −15.6596 | + | 12.5647i | −0.549545 | + | 0.440935i | ||||
\(813\) | 35.5626 | + | 14.7305i | 1.24723 | + | 0.516621i | ||||
\(814\) | −1.46843 | + | 4.68406i | −0.0514686 | + | 0.164176i | ||||
\(815\) | 4.59090 | + | 2.65056i | 0.160812 | + | 0.0928450i | ||||
\(816\) | −28.3885 | − | 53.6710i | −0.993796 | − | 1.87886i | ||||
\(817\) | −33.8068 | − | 58.5551i | −1.18275 | − | 2.04858i | ||||
\(818\) | −22.1284 | + | 20.3438i | −0.773700 | + | 0.711304i | ||||
\(819\) | −6.84504 | + | 11.1939i | −0.239185 | + | 0.391147i | ||||
\(820\) | −16.6103 | − | 8.57761i | −0.580056 | − | 0.299543i | ||||
\(821\) | 5.98674 | − | 7.80207i | 0.208939 | − | 0.272294i | −0.677115 | − | 0.735878i | \(-0.736770\pi\) |
0.886053 | + | 0.463583i | \(0.153437\pi\) | |||||||
\(822\) | 69.1414 | + | 12.0746i | 2.41158 | + | 0.421149i | ||||
\(823\) | −8.35156 | − | 31.1684i | −0.291117 | − | 1.08646i | −0.944252 | − | 0.329222i | \(-0.893213\pi\) |
0.653135 | − | 0.757241i | \(-0.273453\pi\) | |||||||
\(824\) | 9.86486 | − | 24.1514i | 0.343659 | − | 0.841354i | ||||
\(825\) | −6.62188 | − | 6.62188i | −0.230544 | − | 0.230544i | ||||
\(826\) | 3.51993 | − | 1.72808i | 0.122474 | − | 0.0601275i | ||||
\(827\) | 10.9485 | + | 26.4320i | 0.380716 | + | 0.919131i | 0.991828 | + | 0.127586i | \(0.0407228\pi\) |
−0.611111 | + | 0.791545i | \(0.709277\pi\) | |||||||
\(828\) | −6.62417 | − | 14.0848i | −0.230206 | − | 0.489479i | ||||
\(829\) | −22.2151 | + | 17.0462i | −0.771561 | + | 0.592040i | −0.917723 | − | 0.397221i | \(-0.869975\pi\) |
0.146162 | + | 0.989261i | \(0.453308\pi\) | |||||||
\(830\) | −33.5679 | + | 52.8823i | −1.16516 | + | 1.83557i | ||||
\(831\) | −31.8727 | − | 55.2052i | −1.10565 | − | 1.91505i | ||||
\(832\) | 11.8478 | − | 15.7592i | 0.410749 | − | 0.546350i | ||||
\(833\) | 14.5803 | − | 45.1648i | 0.505178 | − | 1.56487i | ||||
\(834\) | 2.38646 | − | 56.7969i | 0.0826364 | − | 1.96672i | ||||
\(835\) | −0.258203 | − | 1.96125i | −0.00893550 | − | 0.0678719i | ||||
\(836\) | −13.9970 | + | 20.1300i | −0.484096 | + | 0.696211i | ||||
\(837\) | −1.32195 | + | 10.0412i | −0.0456933 | + | 0.347075i | ||||
\(838\) | −1.33864 | − | 15.0169i | −0.0462425 | − | 0.518751i | ||||
\(839\) | 7.04739 | − | 7.04739i | 0.243303 | − | 0.243303i | −0.574912 | − | 0.818215i | \(-0.694964\pi\) |
0.818215 | + | 0.574912i | \(0.194964\pi\) | |||||||
\(840\) | 46.8897 | + | 0.952485i | 1.61785 | + | 0.0328638i | ||||
\(841\) | 10.3264 | + | 10.3264i | 0.356083 | + | 0.356083i | ||||
\(842\) | 25.1153 | − | 30.0312i | 0.865530 | − | 1.03494i | ||||
\(843\) | 8.97627 | + | 1.18175i | 0.309159 | + | 0.0407016i | ||||
\(844\) | 5.51864 | + | 8.60014i | 0.189960 | + | 0.296029i | ||||
\(845\) | −19.2230 | + | 2.53076i | −0.661292 | + | 0.0870607i | ||||
\(846\) | −15.5294 | − | 16.8917i | −0.533913 | − | 0.580748i | ||||
\(847\) | 3.63072 | − | 23.0649i | 0.124753 | − | 0.792521i | ||||
\(848\) | −0.852339 | − | 3.72869i | −0.0292694 | − | 0.128044i | ||||
\(849\) | 15.0093 | − | 8.66560i | 0.515117 | − | 0.297403i | ||||
\(850\) | −26.5414 | + | 5.92979i | −0.910363 | + | 0.203390i | ||||
\(851\) | 5.54133 | + | 7.22161i | 0.189954 | + | 0.247553i | ||||
\(852\) | 40.0185 | + | 36.4294i | 1.37101 | + | 1.24805i | ||||
\(853\) | 17.7877 | − | 7.36790i | 0.609039 | − | 0.252272i | −0.0567788 | − | 0.998387i | \(-0.518083\pi\) |
0.665817 | + | 0.746115i | \(0.268083\pi\) | |||||||
\(854\) | −18.0955 | + | 15.8126i | −0.619214 | + | 0.541095i | ||||
\(855\) | 33.1100 | − | 33.1100i | 1.13234 | − | 1.13234i | ||||
\(856\) | −5.45396 | + | 5.50791i | −0.186412 | + | 0.188256i | ||||
\(857\) | −8.94759 | + | 2.39750i | −0.305644 | + | 0.0818970i | −0.408381 | − | 0.912812i | \(-0.633907\pi\) |
0.102737 | + | 0.994709i | \(0.467240\pi\) | |||||||
\(858\) | −6.61593 | − | 9.41561i | −0.225864 | − | 0.321444i | ||||
\(859\) | −40.1430 | − | 30.8028i | −1.36966 | − | 1.05098i | −0.992160 | − | 0.124971i | \(-0.960116\pi\) |
−0.377503 | − | 0.926008i | \(-0.623217\pi\) | |||||||
\(860\) | −29.3864 | − | 34.7890i | −1.00207 | − | 1.18629i | ||||
\(861\) | 0.498992 | − | 19.7720i | 0.0170056 | − | 0.673828i | ||||
\(862\) | 0.172184 | − | 4.09792i | 0.00586461 | − | 0.139576i | ||||
\(863\) | 11.7649 | − | 6.79244i | 0.400480 | − | 0.231217i | −0.286211 | − | 0.958167i | \(-0.592396\pi\) |
0.686691 | + | 0.726949i | \(0.259062\pi\) | |||||||
\(864\) | −11.7896 | − | 4.18187i | −0.401090 | − | 0.142270i | ||||
\(865\) | 6.66797 | − | 11.5493i | 0.226718 | − | 0.392686i | ||||
\(866\) | −34.9970 | + | 18.2913i | −1.18924 | + | 0.621563i | ||||
\(867\) | −24.8187 | + | 59.9176i | −0.842887 | + | 2.03491i | ||||
\(868\) | −20.7203 | + | 12.5696i | −0.703292 | + | 0.426639i | ||||
\(869\) | −11.0233 | + | 4.56599i | −0.373939 | + | 0.154891i | ||||
\(870\) | 2.98591 | + | 33.4961i | 0.101232 | + | 1.13563i | ||||
\(871\) | 1.37621 | + | 5.13607i | 0.0466310 | + | 0.174029i | ||||
\(872\) | −8.33989 | − | 14.2823i | −0.282424 | − | 0.483661i | ||||
\(873\) | 1.94905 | + | 0.522248i | 0.0659655 | + | 0.0176754i | ||||
\(874\) | 15.6199 | + | 42.6972i | 0.528351 | + | 1.44425i | ||||
\(875\) | −4.53675 | + | 15.3693i | −0.153370 | + | 0.519578i | ||||
\(876\) | 11.1965 | + | 35.1087i | 0.378294 | + | 1.18621i | ||||
\(877\) | 0.799830 | + | 6.07532i | 0.0270084 | + | 0.205149i | 0.999629 | − | 0.0272513i | \(-0.00867544\pi\) |
−0.972620 | + | 0.232400i | \(0.925342\pi\) | |||||||
\(878\) | −2.26157 | − | 10.1226i | −0.0763241 | − | 0.341623i | ||||
\(879\) | 26.1929 | − | 45.3674i | 0.883465 | − | 1.53021i | ||||
\(880\) | −6.88054 | + | 15.0118i | −0.231943 | + | 0.506047i | ||||
\(881\) | 51.9129 | 1.74899 | 0.874495 | − | 0.485035i | \(-0.161193\pi\) | ||||
0.874495 | + | 0.485035i | \(0.161193\pi\) | |||||||
\(882\) | 8.32491 | + | 18.0975i | 0.280314 | + | 0.609374i | ||||
\(883\) | 18.1106 | − | 43.7229i | 0.609471 | − | 1.47139i | −0.254106 | − | 0.967176i | \(-0.581781\pi\) |
0.863577 | − | 0.504217i | \(-0.168219\pi\) | |||||||
\(884\) | −33.3818 | + | 1.56723i | −1.12275 | + | 0.0527117i | ||||
\(885\) | 0.857296 | − | 6.51181i | 0.0288177 | − | 0.218892i | ||||
\(886\) | −4.69159 | + | 26.8650i | −0.157617 | + | 0.902547i | ||||
\(887\) | 1.46757 | − | 5.47703i | 0.0492761 | − | 0.183901i | −0.936901 | − | 0.349594i | \(-0.886320\pi\) |
0.986177 | + | 0.165693i | \(0.0529862\pi\) | |||||||
\(888\) | −14.7859 | − | 1.87262i | −0.496183 | − | 0.0628410i | ||||
\(889\) | 34.1756 | − | 3.62476i | 1.14621 | − | 0.121571i | ||||
\(890\) | 47.7991 | + | 22.1937i | 1.60223 | + | 0.743935i | ||||
\(891\) | −9.86442 | + | 12.8556i | −0.330471 | + | 0.430678i | ||||
\(892\) | 10.8487 | − | 15.6022i | 0.363241 | − | 0.522401i | ||||
\(893\) | 40.8015 | + | 53.1736i | 1.36537 | + | 1.77939i | ||||
\(894\) | −33.2520 | + | 17.3793i | −1.11211 | + | 0.581251i | ||||
\(895\) | 35.2429 | 1.17804 | ||||||||
\(896\) | −9.85010 | − | 28.2662i | −0.329069 | − | 0.944306i | ||||
\(897\) | −21.3389 | −0.712485 | ||||||||
\(898\) | 26.1557 | − | 13.6704i | 0.872827 | − | 0.456186i | ||||
\(899\) | −10.5787 | − | 13.7864i | −0.352819 | − | 0.459803i | ||||
\(900\) | 6.51661 | − | 9.37198i | 0.217220 | − | 0.312399i | ||||
\(901\) | −3.94669 | + | 5.14343i | −0.131483 | + | 0.171352i | ||||
\(902\) | 6.31637 | + | 2.93276i | 0.210312 | + | 0.0976504i | ||||
\(903\) | 19.5548 | − | 44.0332i | 0.650744 | − | 1.46533i | ||||
\(904\) | −33.0524 | − | 4.18605i | −1.09930 | − | 0.139226i | ||||
\(905\) | −15.7919 | + | 58.9363i | −0.524942 | + | 1.95911i | ||||
\(906\) | −1.46784 | + | 8.40513i | −0.0487657 | + | 0.279242i | ||||
\(907\) | −2.17458 | + | 16.5176i | −0.0722059 | + | 0.548458i | 0.916662 | + | 0.399663i | \(0.130873\pi\) |
−0.988868 | + | 0.148795i | \(0.952460\pi\) | |||||||
\(908\) | 14.6167 | − | 0.686237i | 0.485074 | − | 0.0227736i | ||||
\(909\) | 2.76116 | − | 6.66603i | 0.0915818 | − | 0.221098i | ||||
\(910\) | 11.4582 | − | 23.1313i | 0.379835 | − | 0.766795i | ||||
\(911\) | −11.0861 | −0.367299 | −0.183649 | − | 0.982992i | \(-0.558791\pi\) | ||||
−0.183649 | + | 0.982992i | \(0.558791\pi\) | |||||||
\(912\) | −67.6711 | − | 31.0166i | −2.24081 | − | 1.02706i | ||||
\(913\) | 11.6667 | − | 20.2073i | 0.386112 | − | 0.668766i | ||||
\(914\) | −5.91881 | − | 26.4923i | −0.195777 | − | 0.876287i | ||||
\(915\) | 5.25384 | + | 39.9069i | 0.173687 | + | 1.31928i | ||||
\(916\) | −10.8408 | − | 33.9932i | −0.358189 | − | 1.12317i | ||||
\(917\) | −2.08489 | − | 8.64806i | −0.0688491 | − | 0.285584i | ||||
\(918\) | 7.28460 | + | 19.9126i | 0.240428 | + | 0.657213i | ||||
\(919\) | −42.6700 | − | 11.4334i | −1.40755 | − | 0.377153i | −0.526502 | − | 0.850174i | \(-0.676497\pi\) |
−0.881051 | + | 0.473022i | \(0.843163\pi\) | |||||||
\(920\) | 15.4411 | + | 26.4434i | 0.509078 | + | 0.871812i | ||||
\(921\) | 4.94627 | + | 18.4597i | 0.162985 | + | 0.608269i | ||||
\(922\) | 2.57913 | + | 28.9329i | 0.0849392 | + | 0.952853i | ||||
\(923\) | 27.5186 | − | 11.3986i | 0.905785 | − | 0.375189i | ||||
\(924\) | −17.4669 | + | 0.378782i | −0.574619 | + | 0.0124610i | ||||
\(925\) | −2.55469 | + | 6.16757i | −0.0839977 | + | 0.202788i | ||||
\(926\) | 28.0108 | − | 14.6400i | 0.920493 | − | 0.481099i | ||||
\(927\) | 9.28021 | − | 16.0738i | 0.304802 | − | 0.527933i | ||||
\(928\) | 19.3775 | − | 9.23010i | 0.636096 | − | 0.302993i | ||||
\(929\) | 13.3160 | − | 7.68797i | 0.436882 | − | 0.252234i | −0.265392 | − | 0.964141i | \(-0.585501\pi\) |
0.702274 | + | 0.711906i | \(0.252168\pi\) | |||||||
\(930\) | −1.70410 | + | 40.5569i | −0.0558796 | + | 1.32991i | ||||
\(931\) | −19.5274 | − | 54.8132i | −0.639985 | − | 1.79643i | ||||
\(932\) | 3.37472 | + | 3.99515i | 0.110543 | + | 0.130865i | ||||
\(933\) | 50.8531 | + | 39.0209i | 1.66485 | + | 1.27749i | ||||
\(934\) | 5.97387 | + | 8.50186i | 0.195471 | + | 0.278189i | ||||
\(935\) | 27.0366 | − | 7.24443i | 0.884190 | − | 0.236918i | ||||
\(936\) | 9.86954 | − | 9.96716i | 0.322596 | − | 0.325787i | ||||
\(937\) | 21.3919 | − | 21.3919i | 0.698844 | − | 0.698844i | −0.265318 | − | 0.964161i | \(-0.585477\pi\) |
0.964161 | + | 0.265318i | \(0.0854768\pi\) | |||||||
\(938\) | 7.63972 | + | 2.60847i | 0.249446 | + | 0.0851694i | ||||
\(939\) | −10.4884 | + | 4.34445i | −0.342277 | + | 0.141776i | ||||
\(940\) | 33.3822 | + | 30.3882i | 1.08881 | + | 0.991155i | ||||
\(941\) | −4.72958 | − | 6.16370i | −0.154180 | − | 0.200931i | 0.709877 | − | 0.704326i | \(-0.248751\pi\) |
−0.864056 | + | 0.503395i | \(0.832084\pi\) | |||||||
\(942\) | −12.5183 | + | 2.79680i | −0.407870 | + | 0.0911247i | ||||
\(943\) | 11.1835 | − | 6.45681i | 0.364186 | − | 0.210263i | ||||
\(944\) | −4.08658 | + | 0.934148i | −0.133007 | + | 0.0304039i | ||||
\(945\) | −16.1789 | − | 2.54676i | −0.526298 | − | 0.0828461i | ||||
\(946\) | 11.4815 | + | 12.4886i | 0.373295 | + | 0.406041i | ||||
\(947\) | 10.5674 | − | 1.39122i | 0.343394 | − | 0.0452087i | 0.0431431 | − | 0.999069i | \(-0.486263\pi\) |
0.300251 | + | 0.953860i | \(0.402930\pi\) | |||||||
\(948\) | −19.5643 | − | 30.4886i | −0.635420 | − | 0.990225i | ||||
\(949\) | 20.1093 | + | 2.64744i | 0.652776 | + | 0.0859396i | ||||
\(950\) | −21.3906 | + | 25.5774i | −0.694002 | + | 0.829840i | ||||
\(951\) | −22.9979 | − | 22.9979i | −0.745758 | − | 0.745758i | ||||
\(952\) | −26.2555 | + | 43.4151i | −0.850947 | + | 1.40709i | ||||
\(953\) | 19.6134 | − | 19.6134i | 0.635340 | − | 0.635340i | −0.314062 | − | 0.949402i | \(-0.601690\pi\) |
0.949402 | + | 0.314062i | \(0.101690\pi\) | |||||||
\(954\) | −0.241613 | − | 2.71043i | −0.00782251 | − | 0.0877534i | ||||
\(955\) | 2.21924 | − | 16.8568i | 0.0718128 | − | 0.545472i | ||||
\(956\) | 21.2575 | − | 30.5718i | 0.687515 | − | 0.988762i | ||||
\(957\) | −1.63517 | − | 12.4203i | −0.0528574 | − | 0.401492i | ||||
\(958\) | −1.68681 | + | 40.1454i | −0.0544983 | + | 1.29704i | ||||
\(959\) | −21.0707 | − | 54.7359i | −0.680408 | − | 1.76751i | ||||
\(960\) | −48.5546 | − | 12.4993i | −1.56709 | − | 0.403412i | ||||
\(961\) | 5.01207 | + | 8.68117i | 0.161680 | + | 0.280038i | ||||
\(962\) | −4.39625 | + | 6.92577i | −0.141741 | + | 0.223296i | ||||
\(963\) | −4.37504 | + | 3.35708i | −0.140984 | + | 0.108180i | ||||
\(964\) | −14.0902 | − | 29.9595i | −0.453815 | − | 0.964932i | ||||
\(965\) | −0.705797 | − | 1.70394i | −0.0227204 | − | 0.0548519i | ||||
\(966\) | −18.0467 | + | 26.9052i | −0.580642 | + | 0.865662i | ||||
\(967\) | 15.5423 | + | 15.5423i | 0.499807 | + | 0.499807i | 0.911378 | − | 0.411571i | \(-0.135020\pi\) |
−0.411571 | + | 0.911378i | \(0.635020\pi\) | |||||||
\(968\) | −9.43858 | + | 23.1078i | −0.303367 | + | 0.742711i | ||||
\(969\) | 32.6569 | + | 121.877i | 1.04909 | + | 3.91526i | ||||
\(970\) | −3.91060 | − | 0.682931i | −0.125562 | − | 0.0219276i | ||||
\(971\) | −14.9017 | + | 19.4202i | −0.478217 | + | 0.623225i | −0.968703 | − | 0.248224i | \(-0.920153\pi\) |
0.490485 | + | 0.871450i | \(0.336820\pi\) | |||||||
\(972\) | −31.9247 | − | 16.4860i | −1.02398 | − | 0.528789i | ||||
\(973\) | −41.7253 | + | 22.7062i | −1.33765 | + | 0.727928i | ||||
\(974\) | 16.8059 | − | 15.4506i | 0.538495 | − | 0.495068i | ||||
\(975\) | −7.82481 | − | 13.5530i | −0.250594 | − | 0.434042i | ||||
\(976\) | 22.7091 | − | 12.0116i | 0.726900 | − | 0.384483i | ||||
\(977\) | −2.33924 | − | 1.35056i | −0.0748389 | − | 0.0432083i | 0.462114 | − | 0.886821i | \(-0.347091\pi\) |
−0.536953 | + | 0.843612i | \(0.680425\pi\) | |||||||
\(978\) | 1.79357 | − | 5.72119i | 0.0573521 | − | 0.182943i | ||||
\(979\) | −18.1376 | − | 7.51282i | −0.579679 | − | 0.240111i | ||||
\(980\) | −19.4748 | − | 34.0096i | −0.622100 | − | 1.08640i | ||||
\(981\) | −4.50287 | − | 10.8709i | −0.143765 | − | 0.347081i | ||||
\(982\) | 3.52270 | − | 4.21220i | 0.112414 | − | 0.134417i | ||||
\(983\) | 10.4637 | − | 2.80375i | 0.333741 | − | 0.0894256i | −0.0880571 | − | 0.996115i | \(-0.528066\pi\) |
0.421798 | + | 0.906690i | \(0.361399\pi\) | |||||||
\(984\) | −5.37186 | + | 20.4501i | −0.171249 | + | 0.651926i | ||||
\(985\) | −5.80390 | + | 21.6605i | −0.184928 | + | 0.690160i | ||||
\(986\) | −32.9971 | − | 15.3210i | −1.05084 | − | 0.487919i | ||||
\(987\) | −13.5211 | + | 45.8058i | −0.430381 | + | 1.45802i | ||||
\(988\) | −31.3002 | + | 26.4395i | −0.995792 | + | 0.841151i | ||||
\(989\) | 31.1885 | − | 4.10605i | 0.991737 | − | 0.130565i | ||||
\(990\) | −6.29615 | + | 9.91885i | −0.200105 | + | 0.315242i | ||||
\(991\) | −16.3281 | − | 9.42704i | −0.518680 | − | 0.299460i | 0.217715 | − | 0.976012i | \(-0.430140\pi\) |
−0.736394 | + | 0.676553i | \(0.763473\pi\) | |||||||
\(992\) | 24.6442 | − | 7.99311i | 0.782455 | − | 0.253782i | ||||
\(993\) | − | 68.1422i | − | 2.16243i | ||||||
\(994\) | 8.90099 | − | 44.3369i | 0.282322 | − | 1.40628i | ||||
\(995\) | −26.0946 | − | 10.8087i | −0.827254 | − | 0.342660i | ||||
\(996\) | 66.6508 | + | 24.0115i | 2.11191 | + | 0.760835i | ||||
\(997\) | −31.8631 | − | 4.19486i | −1.00912 | − | 0.132853i | −0.392198 | − | 0.919881i | \(-0.628285\pi\) |
−0.616917 | + | 0.787028i | \(0.711619\pi\) | |||||||
\(998\) | 0.639313 | − | 0.449217i | 0.0202371 | − | 0.0142197i | ||||
\(999\) | 5.02739 | + | 1.34709i | 0.159060 | + | 0.0426199i |
(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 | 224.2.be.a.115.4 | yes | 240 | |
4.3 | odd | 2 | 896.2.bi.a.367.24 | 240 | |||
7.5 | odd | 6 | inner | 224.2.be.a.19.25 | ✓ | 240 | |
28.19 | even | 6 | 896.2.bi.a.495.24 | 240 | |||
32.5 | even | 8 | 896.2.bi.a.143.24 | 240 | |||
32.27 | odd | 8 | inner | 224.2.be.a.59.25 | yes | 240 | |
224.5 | odd | 24 | 896.2.bi.a.271.24 | 240 | |||
224.187 | even | 24 | inner | 224.2.be.a.187.4 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
224.2.be.a.19.25 | ✓ | 240 | 7.5 | odd | 6 | inner | |
224.2.be.a.59.25 | yes | 240 | 32.27 | odd | 8 | inner | |
224.2.be.a.115.4 | yes | 240 | 1.1 | even | 1 | trivial | |
224.2.be.a.187.4 | yes | 240 | 224.187 | even | 24 | inner | |
896.2.bi.a.143.24 | 240 | 32.5 | even | 8 | |||
896.2.bi.a.271.24 | 240 | 224.5 | odd | 24 | |||
896.2.bi.a.367.24 | 240 | 4.3 | odd | 2 | |||
896.2.bi.a.495.24 | 240 | 28.19 | even | 6 |