Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [320,2,Mod(3,320)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(320, base_ring=CyclotomicField(16))
chi = DirichletCharacter(H, H._module([8, 3, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("320.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 320 = 2^{6} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 320.bj (of order \(16\), 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: | \(2.55521286468\) |
Analytic rank: | \(0\) |
Dimension: | \(368\) |
Relative dimension: | \(46\) over \(\Q(\zeta_{16})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{16}]$ |
Embedding invariants
Embedding label | 27.23 | ||
Character | \(\chi\) | \(=\) | 320.27 |
Dual form | 320.2.bj.a.83.23 |
$q$-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 \(\left(\mathbb{Z}/320\mathbb{Z}\right)^\times\).
\(n\) | \(191\) | \(257\) | \(261\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{4}\right)\) | \(e\left(\frac{9}{16}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.123259 | + | 1.40883i | −0.0871574 | + | 0.996195i | ||||
\(3\) | −1.05489 | + | 0.209831i | −0.609041 | + | 0.121146i | −0.489969 | − | 0.871740i | \(-0.662992\pi\) |
−0.119072 | + | 0.992886i | \(0.537992\pi\) | |||||||
\(4\) | −1.96961 | − | 0.347303i | −0.984807 | − | 0.173651i | ||||
\(5\) | −0.464105 | + | 2.18737i | −0.207554 | + | 0.978224i | ||||
\(6\) | −0.165591 | − | 1.51203i | −0.0676023 | − | 0.617282i | ||||
\(7\) | 0.103399 | + | 0.249628i | 0.0390813 | + | 0.0943505i | 0.942215 | − | 0.335009i | \(-0.108739\pi\) |
−0.903134 | + | 0.429359i | \(0.858739\pi\) | |||||||
\(8\) | 0.732064 | − | 2.73205i | 0.258824 | − | 0.965925i | ||||
\(9\) | −1.70288 | + | 0.705354i | −0.567625 | + | 0.235118i | ||||
\(10\) | −3.02444 | − | 0.923460i | −0.956411 | − | 0.292024i | ||||
\(11\) | −0.477773 | − | 0.715038i | −0.144054 | − | 0.215592i | 0.752425 | − | 0.658678i | \(-0.228884\pi\) |
−0.896479 | + | 0.443085i | \(0.853884\pi\) | |||||||
\(12\) | 2.15060 | − | 0.0469192i | 0.620825 | − | 0.0135444i | ||||
\(13\) | −2.63127 | − | 1.75816i | −0.729784 | − | 0.487626i | 0.134321 | − | 0.990938i | \(-0.457115\pi\) |
−0.864105 | + | 0.503312i | \(0.832115\pi\) | |||||||
\(14\) | −0.364429 | + | 0.114903i | −0.0973977 | + | 0.0307092i | ||||
\(15\) | 0.0306015 | − | 2.40482i | 0.00790127 | − | 0.620922i | ||||
\(16\) | 3.75876 | + | 1.36811i | 0.939690 | + | 0.342026i | ||||
\(17\) | −5.79821 | −1.40627 | −0.703136 | − | 0.711055i | \(-0.748218\pi\) | ||||
−0.703136 | + | 0.711055i | \(0.748218\pi\) | |||||||
\(18\) | −0.783830 | − | 2.48601i | −0.184751 | − | 0.585957i | ||||
\(19\) | 6.91106 | − | 1.37469i | 1.58551 | − | 0.315377i | 0.677885 | − | 0.735168i | \(-0.262897\pi\) |
0.907621 | + | 0.419791i | \(0.137897\pi\) | |||||||
\(20\) | 1.67379 | − | 4.14710i | 0.374271 | − | 0.927320i | ||||
\(21\) | −0.161454 | − | 0.241634i | −0.0352322 | − | 0.0527288i | ||||
\(22\) | 1.06626 | − | 0.584967i | 0.227327 | − | 0.124715i | ||||
\(23\) | −5.58326 | − | 2.31266i | −1.16419 | − | 0.482223i | −0.284922 | − | 0.958551i | \(-0.591968\pi\) |
−0.879268 | + | 0.476327i | \(0.841968\pi\) | |||||||
\(24\) | −0.198980 | + | 3.03562i | −0.0406166 | + | 0.619643i | ||||
\(25\) | −4.56921 | − | 2.03034i | −0.913843 | − | 0.406069i | ||||
\(26\) | 2.80128 | − | 3.49031i | 0.549376 | − | 0.684506i | ||||
\(27\) | 4.33122 | − | 2.89403i | 0.833543 | − | 0.556956i | ||||
\(28\) | −0.116960 | − | 0.527582i | −0.0221034 | − | 0.0997036i | ||||
\(29\) | −0.531148 | + | 0.794919i | −0.0986317 | + | 0.147613i | −0.877503 | − | 0.479571i | \(-0.840792\pi\) |
0.778872 | + | 0.627184i | \(0.215792\pi\) | |||||||
\(30\) | 3.38422 | + | 0.339529i | 0.617871 | + | 0.0619892i | ||||
\(31\) | −3.54205 | −0.636171 | −0.318085 | − | 0.948062i | \(-0.603040\pi\) | ||||
−0.318085 | + | 0.948062i | \(0.603040\pi\) | |||||||
\(32\) | −2.39073 | + | 5.12683i | −0.422626 | + | 0.906304i | ||||
\(33\) | 0.654035 | + | 0.654035i | 0.113853 | + | 0.113853i | ||||
\(34\) | 0.714683 | − | 8.16871i | 0.122567 | − | 1.40092i | ||||
\(35\) | −0.594018 | + | 0.110319i | −0.100407 | + | 0.0186474i | ||||
\(36\) | 3.59898 | − | 0.797862i | 0.599830 | − | 0.132977i | ||||
\(37\) | 1.33364 | + | 1.99593i | 0.219248 | + | 0.328128i | 0.924747 | − | 0.380583i | \(-0.124277\pi\) |
−0.705498 | + | 0.708712i | \(0.749277\pi\) | |||||||
\(38\) | 1.08486 | + | 9.90596i | 0.175988 | + | 1.60696i | ||||
\(39\) | 3.14462 | + | 1.30254i | 0.503542 | + | 0.208574i | ||||
\(40\) | 5.63626 | + | 2.86926i | 0.891170 | + | 0.453669i | ||||
\(41\) | −6.95767 | + | 2.88196i | −1.08661 | + | 0.450087i | −0.852822 | − | 0.522202i | \(-0.825111\pi\) |
−0.233783 | + | 0.972289i | \(0.575111\pi\) | |||||||
\(42\) | 0.360322 | − | 0.197679i | 0.0555989 | − | 0.0305025i | ||||
\(43\) | −1.46098 | + | 7.34484i | −0.222797 | + | 1.12008i | 0.693770 | + | 0.720197i | \(0.255948\pi\) |
−0.916567 | + | 0.399881i | \(0.869052\pi\) | |||||||
\(44\) | 0.692694 | + | 1.57428i | 0.104428 | + | 0.237332i | ||||
\(45\) | −0.752560 | − | 4.05218i | −0.112185 | − | 0.604064i | ||||
\(46\) | 3.94634 | − | 7.58082i | 0.581856 | − | 1.11773i | ||||
\(47\) | 9.88727i | 1.44221i | 0.692828 | + | 0.721103i | \(0.256365\pi\) | ||||
−0.692828 | + | 0.721103i | \(0.743635\pi\) | |||||||
\(48\) | −4.25215 | − | 0.654497i | −0.613745 | − | 0.0944685i | ||||
\(49\) | 4.89812 | − | 4.89812i | 0.699732 | − | 0.699732i | ||||
\(50\) | 3.42361 | − | 6.18699i | 0.484171 | − | 0.874973i | ||||
\(51\) | 6.11647 | − | 1.21664i | 0.856478 | − | 0.170364i | ||||
\(52\) | 4.57198 | + | 4.37674i | 0.634019 | + | 0.606945i | ||||
\(53\) | −1.96539 | + | 9.88067i | −0.269967 | + | 1.35721i | 0.573136 | + | 0.819461i | \(0.305727\pi\) |
−0.843102 | + | 0.537753i | \(0.819273\pi\) | |||||||
\(54\) | 3.54334 | + | 6.45867i | 0.482187 | + | 0.878914i | ||||
\(55\) | 1.78579 | − | 0.713216i | 0.240796 | − | 0.0961700i | ||||
\(56\) | 0.757690 | − | 0.0997480i | 0.101251 | − | 0.0133294i | ||||
\(57\) | −7.00195 | + | 2.90030i | −0.927431 | + | 0.384155i | ||||
\(58\) | −1.05444 | − | 0.846279i | −0.138455 | − | 0.111122i | ||||
\(59\) | 0.649902 | − | 3.26728i | 0.0846100 | − | 0.425363i | −0.915143 | − | 0.403130i | \(-0.867922\pi\) |
0.999753 | − | 0.0222335i | \(-0.00707773\pi\) | |||||||
\(60\) | −0.895475 | + | 4.72594i | −0.115605 | + | 0.610117i | ||||
\(61\) | −5.62744 | + | 8.42207i | −0.720520 | + | 1.07834i | 0.272701 | + | 0.962099i | \(0.412083\pi\) |
−0.993222 | + | 0.116236i | \(0.962917\pi\) | |||||||
\(62\) | 0.436590 | − | 4.99015i | 0.0554470 | − | 0.633750i | ||||
\(63\) | −0.352152 | − | 0.352152i | −0.0443670 | − | 0.0443670i | ||||
\(64\) | −6.92816 | − | 4.00007i | −0.866020 | − | 0.500009i | ||||
\(65\) | 5.06694 | − | 4.93961i | 0.628477 | − | 0.612683i | ||||
\(66\) | −1.00204 | + | 0.840809i | −0.123343 | + | 0.103496i | ||||
\(67\) | −0.324135 | − | 1.62954i | −0.0395994 | − | 0.199080i | 0.955921 | − | 0.293623i | \(-0.0948610\pi\) |
−0.995521 | + | 0.0945431i | \(0.969861\pi\) | |||||||
\(68\) | 11.4202 | + | 2.01374i | 1.38491 | + | 0.244201i | ||||
\(69\) | 6.37499 | + | 1.26806i | 0.767459 | + | 0.152657i | ||||
\(70\) | −0.0822033 | − | 0.850469i | −0.00982517 | − | 0.101651i | ||||
\(71\) | 4.30309 | + | 1.78240i | 0.510683 | + | 0.211532i | 0.623119 | − | 0.782127i | \(-0.285865\pi\) |
−0.112436 | + | 0.993659i | \(0.535865\pi\) | |||||||
\(72\) | 0.680446 | + | 5.16870i | 0.0801914 | + | 0.609137i | ||||
\(73\) | −7.84704 | − | 3.25035i | −0.918427 | − | 0.380425i | −0.127150 | − | 0.991883i | \(-0.540583\pi\) |
−0.791276 | + | 0.611459i | \(0.790583\pi\) | |||||||
\(74\) | −2.97631 | + | 1.63285i | −0.345989 | + | 0.189815i | ||||
\(75\) | 5.24604 | + | 1.18303i | 0.605761 | + | 0.136604i | ||||
\(76\) | −14.0896 | + | 0.307389i | −1.61618 | + | 0.0352599i | ||||
\(77\) | 0.129092 | − | 0.193200i | 0.0147114 | − | 0.0220172i | ||||
\(78\) | −2.22267 | + | 4.26969i | −0.251668 | + | 0.483447i | ||||
\(79\) | 3.31882 | + | 3.31882i | 0.373396 | + | 0.373396i | 0.868713 | − | 0.495317i | \(-0.164948\pi\) |
−0.495317 | + | 0.868713i | \(0.664948\pi\) | |||||||
\(80\) | −4.73702 | + | 7.58687i | −0.529615 | + | 0.848238i | ||||
\(81\) | −0.0517288 | + | 0.0517288i | −0.00574764 | + | 0.00574764i | ||||
\(82\) | −3.20260 | − | 10.1574i | −0.353668 | − | 1.12170i | ||||
\(83\) | −5.92535 | − | 3.95919i | −0.650392 | − | 0.434578i | 0.186120 | − | 0.982527i | \(-0.440409\pi\) |
−0.836512 | + | 0.547949i | \(0.815409\pi\) | |||||||
\(84\) | 0.234083 | + | 0.531999i | 0.0255405 | + | 0.0580458i | ||||
\(85\) | 2.69098 | − | 12.6829i | 0.291878 | − | 1.37565i | ||||
\(86\) | −10.1676 | − | 2.96359i | −1.09640 | − | 0.319572i | ||||
\(87\) | 0.393504 | − | 0.950003i | 0.0421881 | − | 0.101851i | ||||
\(88\) | −2.30328 | + | 0.781845i | −0.245530 | + | 0.0833450i | ||||
\(89\) | −3.67951 | + | 8.88313i | −0.390028 | + | 0.941610i | 0.599905 | + | 0.800071i | \(0.295205\pi\) |
−0.989933 | + | 0.141539i | \(0.954795\pi\) | |||||||
\(90\) | 5.80161 | − | 0.560762i | 0.611543 | − | 0.0591095i | ||||
\(91\) | 0.166814 | − | 0.838631i | 0.0174869 | − | 0.0879125i | ||||
\(92\) | 10.1937 | + | 6.49413i | 1.06276 | + | 0.677060i | ||||
\(93\) | 3.73647 | − | 0.743230i | 0.387454 | − | 0.0770694i | ||||
\(94\) | −13.9295 | − | 1.21870i | −1.43672 | − | 0.125699i | ||||
\(95\) | −0.200484 | + | 15.7551i | −0.0205692 | + | 1.61644i | ||||
\(96\) | 1.44619 | − | 5.90989i | 0.147601 | − | 0.603176i | ||||
\(97\) | −8.82568 | + | 8.82568i | −0.896112 | + | 0.896112i | −0.995090 | − | 0.0989773i | \(-0.968443\pi\) |
0.0989773 | + | 0.995090i | \(0.468443\pi\) | |||||||
\(98\) | 6.29690 | + | 7.50437i | 0.636083 | + | 0.758056i | ||||
\(99\) | 1.31794 | + | 0.880621i | 0.132458 | + | 0.0885058i | ||||
\(100\) | 8.29444 | + | 5.58589i | 0.829444 | + | 0.558589i | ||||
\(101\) | 15.2359 | + | 3.03060i | 1.51602 | + | 0.301556i | 0.881811 | − | 0.471603i | \(-0.156324\pi\) |
0.634213 | + | 0.773159i | \(0.281324\pi\) | |||||||
\(102\) | 0.960133 | + | 8.76705i | 0.0950673 | + | 0.868067i | ||||
\(103\) | −5.20252 | − | 12.5600i | −0.512620 | − | 1.23757i | −0.942354 | − | 0.334618i | \(-0.891393\pi\) |
0.429734 | − | 0.902955i | \(-0.358607\pi\) | |||||||
\(104\) | −6.72964 | + | 5.90167i | −0.659895 | + | 0.578707i | ||||
\(105\) | 0.603475 | − | 0.241018i | 0.0588931 | − | 0.0235209i | ||||
\(106\) | −13.6779 | − | 3.98678i | −1.32852 | − | 0.387230i | ||||
\(107\) | −3.25653 | − | 0.647764i | −0.314821 | − | 0.0626217i | 0.0351511 | − | 0.999382i | \(-0.488809\pi\) |
−0.349972 | + | 0.936760i | \(0.613809\pi\) | |||||||
\(108\) | −9.53593 | + | 4.19587i | −0.917595 | + | 0.403748i | ||||
\(109\) | 1.02628 | + | 5.15945i | 0.0982996 | + | 0.494186i | 0.998299 | + | 0.0582953i | \(0.0185665\pi\) |
−0.900000 | + | 0.435890i | \(0.856434\pi\) | |||||||
\(110\) | 0.784686 | + | 2.60379i | 0.0748169 | + | 0.248262i | ||||
\(111\) | −1.82564 | − | 1.82564i | −0.173283 | − | 0.173283i | ||||
\(112\) | 0.0471360 | + | 1.07975i | 0.00445393 | + | 0.102027i | ||||
\(113\) | 5.48255 | 0.515755 | 0.257878 | − | 0.966178i | \(-0.416977\pi\) | ||||
0.257878 | + | 0.966178i | \(0.416977\pi\) | |||||||
\(114\) | −3.22298 | − | 10.2221i | −0.301860 | − | 0.957384i | ||||
\(115\) | 7.64987 | − | 11.1394i | 0.713354 | − | 1.03875i | ||||
\(116\) | 1.32223 | − | 1.38121i | 0.122766 | − | 0.128243i | ||||
\(117\) | 5.72085 | + | 1.13795i | 0.528893 | + | 0.105203i | ||||
\(118\) | 4.52294 | + | 1.31832i | 0.416370 | + | 0.121362i | ||||
\(119\) | −0.599531 | − | 1.44740i | −0.0549589 | − | 0.132683i | ||||
\(120\) | −6.54769 | − | 1.84409i | −0.597719 | − | 0.168342i | ||||
\(121\) | 3.92651 | − | 9.47942i | 0.356955 | − | 0.861766i | ||||
\(122\) | −11.1716 | − | 8.96622i | −1.01143 | − | 0.811763i | ||||
\(123\) | 6.73485 | − | 4.50008i | 0.607261 | − | 0.405759i | ||||
\(124\) | 6.97647 | + | 1.23016i | 0.626505 | + | 0.110472i | ||||
\(125\) | 6.56171 | − | 9.05229i | 0.586898 | − | 0.809661i | ||||
\(126\) | 0.539529 | − | 0.452717i | 0.0480651 | − | 0.0403313i | ||||
\(127\) | 3.95918 | − | 3.95918i | 0.351321 | − | 0.351321i | −0.509280 | − | 0.860601i | \(-0.670088\pi\) |
0.860601 | + | 0.509280i | \(0.170088\pi\) | |||||||
\(128\) | 6.48938 | − | 9.26757i | 0.573586 | − | 0.819145i | ||||
\(129\) | − | 8.05455i | − | 0.709164i | ||||||
\(130\) | 6.33453 | + | 7.74732i | 0.555575 | + | 0.679485i | ||||
\(131\) | −11.3270 | − | 7.56844i | −0.989642 | − | 0.661258i | −0.0483427 | − | 0.998831i | \(-0.515394\pi\) |
−0.941299 | + | 0.337573i | \(0.890394\pi\) | |||||||
\(132\) | −1.06105 | − | 1.51534i | −0.0923524 | − | 0.131894i | ||||
\(133\) | 1.05776 | + | 1.58305i | 0.0917195 | + | 0.137268i | ||||
\(134\) | 2.33570 | − | 0.255797i | 0.201774 | − | 0.0220975i | ||||
\(135\) | 4.32018 | + | 10.8171i | 0.371822 | + | 0.930990i | ||||
\(136\) | −4.24466 | + | 15.8410i | −0.363977 | + | 1.35835i | ||||
\(137\) | −0.982943 | + | 2.37303i | −0.0839785 | + | 0.202742i | −0.960291 | − | 0.279002i | \(-0.909996\pi\) |
0.876312 | + | 0.481744i | \(0.159996\pi\) | |||||||
\(138\) | −2.57226 | + | 8.82499i | −0.218966 | + | 0.751233i | ||||
\(139\) | 16.9244 | − | 11.3085i | 1.43551 | − | 0.959174i | 0.437298 | − | 0.899317i | \(-0.355935\pi\) |
0.998207 | − | 0.0598573i | \(-0.0190646\pi\) | |||||||
\(140\) | 1.20830 | − | 0.0109825i | 0.102120 | − | 0.000928191i | ||||
\(141\) | −2.07465 | − | 10.4300i | −0.174717 | − | 0.878363i | ||||
\(142\) | −3.04149 | + | 5.84263i | −0.255236 | + | 0.490303i | ||||
\(143\) | 2.72146i | 0.227580i | ||||||||
\(144\) | −7.36570 | + | 0.321545i | −0.613808 | + | 0.0267954i | ||||
\(145\) | −1.49228 | − | 1.53075i | −0.123927 | − | 0.127121i | ||||
\(146\) | 5.54642 | − | 10.6545i | 0.459025 | − | 0.881775i | ||||
\(147\) | −4.13920 | + | 6.19476i | −0.341396 | + | 0.510935i | ||||
\(148\) | −1.93356 | − | 4.39438i | −0.158937 | − | 0.361216i | ||||
\(149\) | −3.09746 | + | 2.06965i | −0.253754 | + | 0.169553i | −0.675941 | − | 0.736956i | \(-0.736262\pi\) |
0.422187 | + | 0.906509i | \(0.361262\pi\) | |||||||
\(150\) | −2.31331 | + | 7.24497i | −0.188881 | + | 0.591550i | ||||
\(151\) | 3.61222 | + | 8.72068i | 0.293959 | + | 0.709679i | 0.999999 | + | 0.00150721i | \(0.000479761\pi\) |
−0.706040 | + | 0.708172i | \(0.749520\pi\) | |||||||
\(152\) | 1.30361 | − | 19.8877i | 0.105736 | − | 1.61311i | ||||
\(153\) | 9.87363 | − | 4.08979i | 0.798236 | − | 0.330640i | ||||
\(154\) | 0.256274 | + | 0.205683i | 0.0206512 | + | 0.0165744i | ||||
\(155\) | 1.64388 | − | 7.74779i | 0.132040 | − | 0.622317i | ||||
\(156\) | −5.74131 | − | 3.65764i | −0.459672 | − | 0.292846i | ||||
\(157\) | 2.35571 | + | 11.8429i | 0.188006 | + | 0.945170i | 0.953423 | + | 0.301635i | \(0.0975325\pi\) |
−0.765417 | + | 0.643534i | \(0.777467\pi\) | |||||||
\(158\) | −5.08473 | + | 4.26658i | −0.404519 | + | 0.339431i | ||||
\(159\) | − | 10.8354i | − | 0.859304i | ||||||
\(160\) | −10.1047 | − | 7.60881i | −0.798851 | − | 0.601530i | ||||
\(161\) | − | 1.63286i | − | 0.128688i | ||||||
\(162\) | −0.0665011 | − | 0.0792532i | −0.00522482 | − | 0.00622672i | ||||
\(163\) | −2.80738 | − | 14.1136i | −0.219891 | − | 1.10547i | −0.920147 | − | 0.391574i | \(-0.871931\pi\) |
0.700256 | − | 0.713892i | \(-0.253069\pi\) | |||||||
\(164\) | 14.7048 | − | 3.25993i | 1.14825 | − | 0.254558i | ||||
\(165\) | −1.73416 | + | 1.12708i | −0.135004 | + | 0.0877429i | ||||
\(166\) | 6.30819 | − | 7.85982i | 0.489611 | − | 0.610040i | ||||
\(167\) | −2.98916 | + | 1.23815i | −0.231308 | + | 0.0958110i | −0.495327 | − | 0.868706i | \(-0.664952\pi\) |
0.264019 | + | 0.964517i | \(0.414952\pi\) | |||||||
\(168\) | −0.778349 | + | 0.264210i | −0.0600510 | + | 0.0203842i | ||||
\(169\) | −1.14242 | − | 2.75804i | −0.0878783 | − | 0.212157i | ||||
\(170\) | 17.5363 | + | 5.35442i | 1.34497 | + | 0.410665i | ||||
\(171\) | −10.7990 | + | 7.21568i | −0.825822 | + | 0.551797i | ||||
\(172\) | 5.42845 | − | 13.9591i | 0.413915 | − | 1.06437i | ||||
\(173\) | 1.83409 | − | 2.74491i | 0.139443 | − | 0.208691i | −0.755175 | − | 0.655524i | \(-0.772448\pi\) |
0.894618 | + | 0.446832i | \(0.147448\pi\) | |||||||
\(174\) | 1.28989 | + | 0.671478i | 0.0977864 | + | 0.0509046i | ||||
\(175\) | 0.0343769 | − | 1.35054i | 0.00259865 | − | 0.102091i | ||||
\(176\) | −0.817588 | − | 3.34130i | −0.0616280 | − | 0.251860i | ||||
\(177\) | 3.58299i | 0.269314i | ||||||||
\(178\) | −12.0613 | − | 6.27874i | −0.904033 | − | 0.470612i | ||||
\(179\) | 0.536969 | + | 2.69953i | 0.0401349 | + | 0.201772i | 0.995650 | − | 0.0931695i | \(-0.0296998\pi\) |
−0.955515 | + | 0.294941i | \(0.904700\pi\) | |||||||
\(180\) | 0.0749189 | + | 8.24261i | 0.00558412 | + | 0.614368i | ||||
\(181\) | −14.1212 | + | 9.43548i | −1.04962 | + | 0.701334i | −0.955729 | − | 0.294249i | \(-0.904931\pi\) |
−0.0938910 | + | 0.995582i | \(0.529931\pi\) | |||||||
\(182\) | 1.16093 | + | 0.338382i | 0.0860538 | + | 0.0250825i | ||||
\(183\) | 4.16913 | − | 10.0652i | 0.308191 | − | 0.744038i | ||||
\(184\) | −10.4056 | + | 13.5607i | −0.767111 | + | 0.999709i | ||||
\(185\) | −4.98479 | + | 1.99084i | −0.366489 | + | 0.146369i | ||||
\(186\) | 0.586532 | + | 5.35567i | 0.0430066 | + | 0.392697i | ||||
\(187\) | 2.77023 | + | 4.14594i | 0.202579 | + | 0.303181i | ||||
\(188\) | 3.43388 | − | 19.4741i | 0.250441 | − | 1.42030i | ||||
\(189\) | 1.17027 | + | 0.781953i | 0.0851250 | + | 0.0568787i | ||||
\(190\) | −22.1715 | − | 2.22441i | −1.60849 | − | 0.161375i | ||||
\(191\) | 18.9611i | 1.37198i | 0.727613 | + | 0.685988i | \(0.240630\pi\) | ||||
−0.727613 | + | 0.685988i | \(0.759370\pi\) | |||||||
\(192\) | 8.14779 | + | 2.76589i | 0.588016 | + | 0.199611i | ||||
\(193\) | 12.4585 | − | 12.4585i | 0.896784 | − | 0.896784i | −0.0983660 | − | 0.995150i | \(-0.531362\pi\) |
0.995150 | + | 0.0983660i | \(0.0313616\pi\) | |||||||
\(194\) | −11.3461 | − | 13.5218i | −0.814599 | − | 0.970805i | ||||
\(195\) | −4.30858 | + | 6.27394i | −0.308544 | + | 0.449286i | ||||
\(196\) | −11.3485 | + | 7.94628i | −0.810611 | + | 0.567592i | ||||
\(197\) | 4.79511 | − | 3.20399i | 0.341637 | − | 0.228275i | −0.372901 | − | 0.927871i | \(-0.621637\pi\) |
0.714538 | + | 0.699596i | \(0.246637\pi\) | |||||||
\(198\) | −1.40310 | + | 1.74822i | −0.0997137 | + | 0.124240i | ||||
\(199\) | 3.94453 | − | 9.52294i | 0.279621 | − | 0.675064i | −0.720205 | − | 0.693762i | \(-0.755952\pi\) |
0.999825 | + | 0.0186980i | \(0.00595211\pi\) | |||||||
\(200\) | −8.89195 | + | 10.9970i | −0.628756 | + | 0.777603i | ||||
\(201\) | 0.683854 | + | 1.65097i | 0.0482354 | + | 0.116450i | ||||
\(202\) | −6.14756 | + | 21.0912i | −0.432541 | + | 1.48397i | ||||
\(203\) | −0.253354 | − | 0.0503953i | −0.0177820 | − | 0.00353706i | ||||
\(204\) | −12.4696 | + | 0.272048i | −0.873049 | + | 0.0190471i | ||||
\(205\) | −3.07484 | − | 16.5566i | −0.214756 | − | 1.15636i | ||||
\(206\) | 18.3362 | − | 5.78134i | 1.27754 | − | 0.402805i | ||||
\(207\) | 11.1388 | 0.774203 | ||||||||
\(208\) | −7.48498 | − | 10.2084i | −0.518990 | − | 0.707822i | ||||
\(209\) | −4.28488 | − | 4.28488i | −0.296391 | − | 0.296391i | ||||
\(210\) | 0.265170 | + | 0.879902i | 0.0182985 | + | 0.0607190i | ||||
\(211\) | −0.232647 | − | 1.16960i | −0.0160161 | − | 0.0805184i | 0.971951 | − | 0.235185i | \(-0.0755696\pi\) |
−0.987967 | + | 0.154667i | \(0.950570\pi\) | |||||||
\(212\) | 7.30264 | − | 18.7785i | 0.501547 | − | 1.28971i | ||||
\(213\) | −4.91329 | − | 0.977313i | −0.336653 | − | 0.0669644i | ||||
\(214\) | 1.31399 | − | 4.50806i | 0.0898223 | − | 0.308165i | ||||
\(215\) | −15.3879 | − | 6.60449i | −1.04944 | − | 0.450422i | ||||
\(216\) | −4.73589 | − | 13.9517i | −0.322236 | − | 0.949293i | ||||
\(217\) | −0.366245 | − | 0.884194i | −0.0248623 | − | 0.0600230i | ||||
\(218\) | −7.39530 | + | 0.809904i | −0.500873 | + | 0.0548536i | ||||
\(219\) | 8.95979 | + | 1.78221i | 0.605446 | + | 0.120431i | ||||
\(220\) | −3.76503 | + | 0.784550i | −0.253838 | + | 0.0528943i | ||||
\(221\) | 15.2567 | + | 10.1942i | 1.02627 | + | 0.685735i | ||||
\(222\) | 2.79705 | − | 2.34700i | 0.187726 | − | 0.157520i | ||||
\(223\) | −17.9600 | + | 17.9600i | −1.20269 | + | 1.20269i | −0.229342 | + | 0.973346i | \(0.573658\pi\) |
−0.973346 | + | 0.229342i | \(0.926342\pi\) | |||||||
\(224\) | −1.52700 | − | 0.0666828i | −0.102027 | − | 0.00445543i | ||||
\(225\) | 9.21291 | + | 0.234508i | 0.614194 | + | 0.0156338i | ||||
\(226\) | −0.675775 | + | 7.72400i | −0.0449519 | + | 0.513793i | ||||
\(227\) | −10.4215 | + | 2.07297i | −0.691701 | + | 0.137588i | −0.528409 | − | 0.848990i | \(-0.677211\pi\) |
−0.163292 | + | 0.986578i | \(0.552211\pi\) | |||||||
\(228\) | 14.7984 | − | 3.28068i | 0.980050 | − | 0.217268i | ||||
\(229\) | −2.33631 | + | 11.7454i | −0.154388 | + | 0.776161i | 0.823546 | + | 0.567249i | \(0.191992\pi\) |
−0.977934 | + | 0.208912i | \(0.933008\pi\) | |||||||
\(230\) | 14.7506 | + | 12.1504i | 0.972624 | + | 0.801175i | ||||
\(231\) | −0.0956387 | + | 0.230892i | −0.00629256 | + | 0.0151916i | ||||
\(232\) | 1.78292 | + | 2.03305i | 0.117055 | + | 0.133476i | ||||
\(233\) | 4.12549 | − | 9.95981i | 0.270270 | − | 0.652489i | −0.729225 | − | 0.684274i | \(-0.760119\pi\) |
0.999495 | + | 0.0317852i | \(0.0101193\pi\) | |||||||
\(234\) | −2.30833 | + | 7.91946i | −0.150900 | + | 0.517711i | ||||
\(235\) | −21.6272 | − | 4.58873i | −1.41080 | − | 0.299336i | ||||
\(236\) | −2.41479 | + | 6.20957i | −0.157190 | + | 0.404208i | ||||
\(237\) | −4.19737 | − | 2.80460i | −0.272649 | − | 0.182178i | ||||
\(238\) | 2.11303 | − | 0.666233i | 0.136968 | − | 0.0431855i | ||||
\(239\) | −12.7235 | + | 12.7235i | −0.823012 | + | 0.823012i | −0.986539 | − | 0.163527i | \(-0.947713\pi\) |
0.163527 | + | 0.986539i | \(0.447713\pi\) | |||||||
\(240\) | 3.40507 | − | 8.99729i | 0.219797 | − | 0.580772i | ||||
\(241\) | −11.6439 | − | 11.6439i | −0.750051 | − | 0.750051i | 0.224438 | − | 0.974488i | \(-0.427945\pi\) |
−0.974488 | + | 0.224438i | \(0.927945\pi\) | |||||||
\(242\) | 12.8709 | + | 6.70021i | 0.827375 | + | 0.430706i | ||||
\(243\) | −8.63837 | + | 12.9282i | −0.554152 | + | 0.829346i | ||||
\(244\) | 14.0089 | − | 14.6338i | 0.896828 | − | 0.936833i | ||||
\(245\) | 8.44079 | + | 12.9873i | 0.539262 | + | 0.829727i | ||||
\(246\) | 5.50973 | + | 10.0429i | 0.351287 | + | 0.640315i | ||||
\(247\) | −20.6018 | − | 8.53355i | −1.31086 | − | 0.542977i | ||||
\(248\) | −2.59301 | + | 9.67704i | −0.164656 | + | 0.614493i | ||||
\(249\) | 7.08135 | + | 2.93319i | 0.448762 | + | 0.185883i | ||||
\(250\) | 11.9444 | + | 10.3601i | 0.755428 | + | 0.655232i | ||||
\(251\) | 26.5642 | + | 5.28396i | 1.67672 | + | 0.333520i | 0.939609 | − | 0.342250i | \(-0.111189\pi\) |
0.737112 | + | 0.675771i | \(0.236189\pi\) | |||||||
\(252\) | 0.571300 | + | 0.815907i | 0.0359885 | + | 0.0513973i | ||||
\(253\) | 1.01389 | + | 5.09717i | 0.0637427 | + | 0.320456i | ||||
\(254\) | 5.08982 | + | 6.06583i | 0.319364 | + | 0.380604i | ||||
\(255\) | −0.177434 | + | 13.9437i | −0.0111113 | + | 0.873186i | ||||
\(256\) | 12.2566 | + | 10.2848i | 0.766036 | + | 0.642798i | ||||
\(257\) | 14.6870 | + | 14.6870i | 0.916149 | + | 0.916149i | 0.996747 | − | 0.0805973i | \(-0.0256828\pi\) |
−0.0805973 | + | 0.996747i | \(0.525683\pi\) | |||||||
\(258\) | 11.3475 | + | 0.992797i | 0.706465 | + | 0.0618089i | ||||
\(259\) | −0.360342 | + | 0.539290i | −0.0223906 | + | 0.0335099i | ||||
\(260\) | −11.6955 | + | 7.96936i | −0.725321 | + | 0.494239i | ||||
\(261\) | 0.343779 | − | 1.72830i | 0.0212794 | − | 0.106979i | ||||
\(262\) | 12.0588 | − | 15.0249i | 0.744996 | − | 0.928242i | ||||
\(263\) | 24.0412 | − | 9.95819i | 1.48244 | − | 0.614048i | 0.512786 | − | 0.858516i | \(-0.328613\pi\) |
0.969657 | + | 0.244468i | \(0.0786134\pi\) | |||||||
\(264\) | 2.26565 | − | 1.30806i | 0.139441 | − | 0.0805055i | ||||
\(265\) | −20.7006 | − | 8.88470i | −1.27163 | − | 0.545783i | ||||
\(266\) | −2.36063 | + | 1.29508i | −0.144740 | + | 0.0794065i | ||||
\(267\) | 2.01753 | − | 10.1428i | 0.123471 | − | 0.620729i | ||||
\(268\) | 0.0724784 | + | 3.32214i | 0.00442732 | + | 0.202932i | ||||
\(269\) | −23.2673 | + | 4.62816i | −1.41863 | + | 0.282184i | −0.844051 | − | 0.536262i | \(-0.819836\pi\) |
−0.574583 | + | 0.818446i | \(0.694836\pi\) | |||||||
\(270\) | −15.7720 | + | 4.75310i | −0.959854 | + | 0.289264i | ||||
\(271\) | −4.34621 | + | 4.34621i | −0.264013 | + | 0.264013i | −0.826682 | − | 0.562669i | \(-0.809775\pi\) |
0.562669 | + | 0.826682i | \(0.309775\pi\) | |||||||
\(272\) | −21.7941 | − | 7.93256i | −1.32146 | − | 0.480982i | ||||
\(273\) | 0.919666i | 0.0556607i | ||||||||
\(274\) | −3.22205 | − | 1.67730i | −0.194651 | − | 0.101329i | ||||
\(275\) | 0.731275 | + | 4.23721i | 0.0440975 | + | 0.255513i | ||||
\(276\) | −12.1159 | − | 4.71165i | −0.729290 | − | 0.283608i | ||||
\(277\) | 0.617412 | − | 3.10394i | 0.0370967 | − | 0.186498i | −0.957794 | − | 0.287455i | \(-0.907191\pi\) |
0.994891 | + | 0.100958i | \(0.0321907\pi\) | |||||||
\(278\) | 13.8457 | + | 25.2374i | 0.830409 | + | 1.51364i | ||||
\(279\) | 6.03167 | − | 2.49840i | 0.361106 | − | 0.149575i | ||||
\(280\) | −0.133462 | + | 1.70365i | −0.00797585 | + | 0.101812i | ||||
\(281\) | −20.7435 | − | 8.59222i | −1.23745 | − | 0.512569i | −0.334534 | − | 0.942384i | \(-0.608579\pi\) |
−0.902917 | + | 0.429815i | \(0.858579\pi\) | |||||||
\(282\) | 14.9498 | − | 1.63725i | 0.890248 | − | 0.0974965i | ||||
\(283\) | 8.29495 | + | 12.4143i | 0.493083 | + | 0.737952i | 0.991658 | − | 0.128895i | \(-0.0411431\pi\) |
−0.498575 | + | 0.866847i | \(0.666143\pi\) | |||||||
\(284\) | −7.85639 | − | 5.00511i | −0.466191 | − | 0.296999i | ||||
\(285\) | −3.09441 | − | 16.6619i | −0.183297 | − | 0.986968i | ||||
\(286\) | −3.83408 | − | 0.335445i | −0.226714 | − | 0.0198353i | ||||
\(287\) | −1.43884 | − | 1.43884i | −0.0849318 | − | 0.0849318i | ||||
\(288\) | 0.454887 | − | 10.4167i | 0.0268045 | − | 0.613808i | ||||
\(289\) | 16.6193 | 0.977603 | ||||||||
\(290\) | 2.34050 | − | 1.91369i | 0.137439 | − | 0.112376i | ||||
\(291\) | 7.45822 | − | 11.1620i | 0.437209 | − | 0.654329i | ||||
\(292\) | 14.3268 | + | 9.12724i | 0.838412 | + | 0.534131i | ||||
\(293\) | 13.6709 | − | 9.13458i | 0.798660 | − | 0.533648i | −0.0879719 | − | 0.996123i | \(-0.528039\pi\) |
0.886632 | + | 0.462475i | \(0.153039\pi\) | |||||||
\(294\) | −8.21718 | − | 6.59500i | −0.479236 | − | 0.384628i | ||||
\(295\) | 6.84514 | + | 2.93794i | 0.398539 | + | 0.171053i | ||||
\(296\) | 6.42927 | − | 2.18241i | 0.373694 | − | 0.126850i | ||||
\(297\) | −4.13868 | − | 1.71430i | −0.240151 | − | 0.0994736i | ||||
\(298\) | −2.53401 | − | 4.61890i | −0.146791 | − | 0.267566i | ||||
\(299\) | 10.6250 | + | 15.9015i | 0.614462 | + | 0.919608i | ||||
\(300\) | −9.92182 | − | 4.15207i | −0.572836 | − | 0.239720i | ||||
\(301\) | −1.98454 | + | 0.394750i | −0.114387 | + | 0.0227530i | ||||
\(302\) | −12.7312 | + | 4.01411i | −0.732599 | + | 0.230986i | ||||
\(303\) | −16.7081 | −0.959853 | ||||||||
\(304\) | 27.8577 | + | 4.28790i | 1.59775 | + | 0.245928i | ||||
\(305\) | −15.8105 | − | 16.2181i | −0.905306 | − | 0.928643i | ||||
\(306\) | 4.54481 | + | 14.4144i | 0.259810 | + | 0.824016i | ||||
\(307\) | −13.8056 | − | 9.22461i | −0.787928 | − | 0.526476i | 0.0952845 | − | 0.995450i | \(-0.469624\pi\) |
−0.883212 | + | 0.468974i | \(0.844624\pi\) | |||||||
\(308\) | −0.321361 | + | 0.335695i | −0.0183112 | + | 0.0191280i | ||||
\(309\) | 8.12356 | + | 12.1578i | 0.462133 | + | 0.691631i | ||||
\(310\) | 10.7127 | + | 3.27094i | 0.608441 | + | 0.185777i | ||||
\(311\) | −21.0907 | + | 8.73606i | −1.19594 | + | 0.495377i | −0.889687 | − | 0.456572i | \(-0.849077\pi\) |
−0.306258 | + | 0.951948i | \(0.599077\pi\) | |||||||
\(312\) | 5.86067 | − | 7.63770i | 0.331795 | − | 0.432400i | ||||
\(313\) | 12.7885 | + | 30.8743i | 0.722851 | + | 1.74512i | 0.665061 | + | 0.746789i | \(0.268405\pi\) |
0.0577903 | + | 0.998329i | \(0.481595\pi\) | |||||||
\(314\) | −16.9751 | + | 1.85904i | −0.957959 | + | 0.104912i | ||||
\(315\) | 0.933724 | − | 0.606853i | 0.0526094 | − | 0.0341923i | ||||
\(316\) | −5.38415 | − | 7.68942i | −0.302882 | − | 0.432564i | ||||
\(317\) | 11.6666 | − | 2.32062i | 0.655260 | − | 0.130339i | 0.143746 | − | 0.989615i | \(-0.454085\pi\) |
0.511513 | + | 0.859275i | \(0.329085\pi\) | |||||||
\(318\) | 15.2653 | + | 1.33556i | 0.856034 | + | 0.0748947i | ||||
\(319\) | 0.822166 | 0.0460324 | ||||||||
\(320\) | 11.9650 | − | 13.2980i | 0.668866 | − | 0.743383i | ||||
\(321\) | 3.57120 | 0.199325 | ||||||||
\(322\) | 2.30043 | + | 0.201266i | 0.128198 | + | 0.0112161i | ||||
\(323\) | −40.0718 | + | 7.97077i | −2.22965 | + | 0.443506i | ||||
\(324\) | 0.119851 | − | 0.0839202i | 0.00665840 | − | 0.00466223i | ||||
\(325\) | 8.45318 | + | 13.3758i | 0.468898 | + | 0.741955i | ||||
\(326\) | 20.2298 | − | 2.21549i | 1.12042 | − | 0.122705i | ||||
\(327\) | −2.16522 | − | 5.22731i | −0.119737 | − | 0.289071i | ||||
\(328\) | 2.78019 | + | 21.1185i | 0.153510 | + | 1.16607i | ||||
\(329\) | −2.46814 | + | 1.02234i | −0.136073 | + | 0.0563632i | ||||
\(330\) | −1.37411 | − | 2.58206i | −0.0756424 | − | 0.142138i | ||||
\(331\) | 11.7438 | + | 17.5758i | 0.645495 | + | 0.966052i | 0.999525 | + | 0.0308175i | \(0.00981107\pi\) |
−0.354030 | + | 0.935234i | \(0.615189\pi\) | |||||||
\(332\) | 10.2956 | + | 9.85597i | 0.565045 | + | 0.540917i | ||||
\(333\) | −3.67885 | − | 2.45813i | −0.201600 | − | 0.134705i | ||||
\(334\) | −1.37591 | − | 4.36384i | −0.0752862 | − | 0.238779i | ||||
\(335\) | 3.71484 | + | 0.0472716i | 0.202964 | + | 0.00258272i | ||||
\(336\) | −0.276288 | − | 1.12913i | −0.0150728 | − | 0.0615991i | ||||
\(337\) | 4.68948 | 0.255452 | 0.127726 | − | 0.991809i | \(-0.459232\pi\) | ||||
0.127726 | + | 0.991809i | \(0.459232\pi\) | |||||||
\(338\) | 4.02643 | − | 1.26952i | 0.219009 | − | 0.0690529i | ||||
\(339\) | −5.78349 | + | 1.15041i | −0.314116 | + | 0.0624816i | ||||
\(340\) | −9.70498 | + | 24.0458i | −0.526327 | + | 1.30406i | ||||
\(341\) | 1.69230 | + | 2.53270i | 0.0916430 | + | 0.137153i | ||||
\(342\) | −8.83460 | − | 16.1034i | −0.477720 | − | 0.870772i | ||||
\(343\) | 3.47657 | + | 1.44004i | 0.187717 | + | 0.0777549i | ||||
\(344\) | 18.9969 | + | 9.36836i | 1.02425 | + | 0.505108i | ||||
\(345\) | −5.73240 | + | 13.3560i | −0.308622 | + | 0.719061i | ||||
\(346\) | 3.64104 | + | 2.92226i | 0.195744 | + | 0.157102i | ||||
\(347\) | 2.19890 | − | 1.46926i | 0.118043 | − | 0.0788740i | −0.495147 | − | 0.868809i | \(-0.664886\pi\) |
0.613190 | + | 0.789935i | \(0.289886\pi\) | |||||||
\(348\) | −1.10499 | + | 1.73447i | −0.0592337 | + | 0.0929776i | ||||
\(349\) | −3.18128 | + | 4.76113i | −0.170290 | + | 0.254857i | −0.906792 | − | 0.421578i | \(-0.861476\pi\) |
0.736502 | + | 0.676436i | \(0.236476\pi\) | |||||||
\(350\) | 1.89845 | + | 0.214898i | 0.101476 | + | 0.0114868i | ||||
\(351\) | −16.4848 | −0.879892 | ||||||||
\(352\) | 4.80811 | − | 0.739998i | 0.256273 | − | 0.0394420i | ||||
\(353\) | 16.0408 | + | 16.0408i | 0.853766 | + | 0.853766i | 0.990595 | − | 0.136829i | \(-0.0436910\pi\) |
−0.136829 | + | 0.990595i | \(0.543691\pi\) | |||||||
\(354\) | −5.04783 | − | 0.441636i | −0.268289 | − | 0.0234727i | ||||
\(355\) | −5.89586 | + | 8.58525i | −0.312920 | + | 0.455658i | ||||
\(356\) | 10.3324 | − | 16.2184i | 0.547614 | − | 0.859575i | ||||
\(357\) | 0.936147 | + | 1.40104i | 0.0495461 | + | 0.0741510i | ||||
\(358\) | −3.86936 | + | 0.423758i | −0.204502 | + | 0.0223963i | ||||
\(359\) | −13.4254 | − | 5.56100i | −0.708567 | − | 0.293498i | −0.000855679 | − | 1.00000i | \(-0.500272\pi\) |
−0.707712 | + | 0.706501i | \(0.750272\pi\) | |||||||
\(360\) | −11.6217 | − | 0.910428i | −0.612516 | − | 0.0479838i | ||||
\(361\) | 28.3192 | − | 11.7302i | 1.49049 | − | 0.617379i | ||||
\(362\) | −11.5524 | − | 21.0574i | −0.607183 | − | 1.10675i | ||||
\(363\) | −2.15296 | + | 10.8236i | −0.113001 | + | 0.568094i | ||||
\(364\) | −0.619819 | + | 1.59385i | −0.0324873 | + | 0.0835402i | ||||
\(365\) | 10.7516 | − | 15.6559i | 0.562764 | − | 0.819468i | ||||
\(366\) | 13.6662 | + | 7.11422i | 0.714346 | + | 0.371866i | ||||
\(367\) | − | 26.2602i | − | 1.37077i | −0.728181 | − | 0.685385i | \(-0.759634\pi\) | ||
0.728181 | − | 0.685385i | \(-0.240366\pi\) | |||||||
\(368\) | −17.8222 | − | 16.3312i | −0.929045 | − | 0.851324i | ||||
\(369\) | 9.81524 | − | 9.81524i | 0.510961 | − | 0.510961i | ||||
\(370\) | −2.19034 | − | 7.26811i | −0.113870 | − | 0.377851i | ||||
\(371\) | −2.66971 | + | 0.531038i | −0.138604 | + | 0.0275701i | ||||
\(372\) | −7.61753 | + | 0.166190i | −0.394951 | + | 0.00861656i | ||||
\(373\) | −0.894953 | + | 4.49923i | −0.0463389 | + | 0.232961i | −0.997013 | − | 0.0772289i | \(-0.975393\pi\) |
0.950674 | + | 0.310190i | \(0.100393\pi\) | |||||||
\(374\) | −6.18239 | + | 3.39176i | −0.319684 | + | 0.175384i | ||||
\(375\) | −5.02244 | + | 10.9260i | −0.259358 | + | 0.564217i | ||||
\(376\) | 27.0125 | + | 7.23812i | 1.39306 | + | 0.373277i | ||||
\(377\) | 2.79519 | − | 1.15781i | 0.143960 | − | 0.0596300i | ||||
\(378\) | −1.24589 | + | 1.55234i | −0.0640815 | + | 0.0798436i | ||||
\(379\) | 5.43995 | − | 27.3485i | 0.279432 | − | 1.40480i | −0.544810 | − | 0.838559i | \(-0.683398\pi\) |
0.824242 | − | 0.566238i | \(-0.191602\pi\) | |||||||
\(380\) | 5.86666 | − | 30.9618i | 0.300953 | − | 1.58831i | ||||
\(381\) | −3.34574 | + | 5.00726i | −0.171408 | + | 0.256530i | ||||
\(382\) | −26.7130 | − | 2.33713i | −1.36675 | − | 0.119578i | ||||
\(383\) | 7.53248 | + | 7.53248i | 0.384892 | + | 0.384892i | 0.872861 | − | 0.487969i | \(-0.162262\pi\) |
−0.487969 | + | 0.872861i | \(0.662262\pi\) | |||||||
\(384\) | −4.90096 | + | 11.1379i | −0.250101 | + | 0.568381i | ||||
\(385\) | 0.362688 | + | 0.372038i | 0.0184843 | + | 0.0189608i | ||||
\(386\) | 16.0163 | + | 19.0876i | 0.815210 | + | 0.971533i | ||||
\(387\) | −2.69285 | − | 13.5379i | −0.136885 | − | 0.688168i | ||||
\(388\) | 20.4484 | − | 14.3180i | 1.03811 | − | 0.726887i | ||||
\(389\) | −10.8279 | − | 2.15381i | −0.548997 | − | 0.109202i | −0.0872046 | − | 0.996190i | \(-0.527793\pi\) |
−0.461792 | + | 0.886988i | \(0.652793\pi\) | |||||||
\(390\) | −8.30785 | − | 6.84339i | −0.420684 | − | 0.346528i | ||||
\(391\) | 32.3729 | + | 13.4093i | 1.63717 | + | 0.678137i | ||||
\(392\) | −9.79617 | − | 16.9677i | −0.494781 | − | 0.856996i | ||||
\(393\) | 13.5368 | + | 5.60712i | 0.682841 | + | 0.282842i | ||||
\(394\) | 3.92284 | + | 7.15042i | 0.197630 | + | 0.360233i | ||||
\(395\) | −8.79977 | + | 5.71921i | −0.442765 | + | 0.287765i | ||||
\(396\) | −2.29000 | − | 2.19221i | −0.115077 | − | 0.110163i | ||||
\(397\) | 8.72775 | − | 13.0620i | 0.438033 | − | 0.655563i | −0.545117 | − | 0.838360i | \(-0.683515\pi\) |
0.983151 | + | 0.182797i | \(0.0585150\pi\) | |||||||
\(398\) | 12.9300 | + | 6.73097i | 0.648124 | + | 0.337393i | ||||
\(399\) | −1.44799 | − | 1.44799i | −0.0724903 | − | 0.0724903i | ||||
\(400\) | −14.3969 | − | 13.8827i | −0.719843 | − | 0.694137i | ||||
\(401\) | 4.48275 | − | 4.48275i | 0.223858 | − | 0.223858i | −0.586263 | − | 0.810121i | \(-0.699401\pi\) |
0.810121 | + | 0.586263i | \(0.199401\pi\) | |||||||
\(402\) | −2.41023 | + | 0.759939i | −0.120211 | + | 0.0379023i | ||||
\(403\) | 9.32009 | + | 6.22749i | 0.464267 | + | 0.310213i | ||||
\(404\) | −28.9562 | − | 11.2606i | −1.44063 | − | 0.560234i | ||||
\(405\) | −0.0891426 | − | 0.137158i | −0.00442953 | − | 0.00681542i | ||||
\(406\) | 0.102227 | − | 0.350722i | 0.00507343 | − | 0.0174060i | ||||
\(407\) | 0.789988 | − | 1.90720i | 0.0391583 | − | 0.0945364i | ||||
\(408\) | 1.15373 | − | 17.6012i | 0.0571180 | − | 0.871387i | ||||
\(409\) | −9.68119 | + | 23.3725i | −0.478704 | + | 1.15569i | 0.481513 | + | 0.876439i | \(0.340088\pi\) |
−0.960217 | + | 0.279255i | \(0.909912\pi\) | |||||||
\(410\) | 23.7044 | − | 2.29118i | 1.17068 | − | 0.113153i | ||||
\(411\) | 0.538961 | − | 2.70954i | 0.0265850 | − | 0.133652i | ||||
\(412\) | 5.88484 | + | 26.5452i | 0.289925 | + | 1.30779i | ||||
\(413\) | 0.882803 | − | 0.175601i | 0.0434399 | − | 0.00864074i | ||||
\(414\) | −1.37296 | + | 15.6927i | −0.0674775 | + | 0.771257i | ||||
\(415\) | 11.4102 | − | 11.1235i | 0.560106 | − | 0.546030i | ||||
\(416\) | 15.3045 | − | 9.28680i | 0.750363 | − | 0.455323i | ||||
\(417\) | −15.4805 | + | 15.4805i | −0.758081 | + | 0.758081i | ||||
\(418\) | 6.56482 | − | 5.50852i | 0.321096 | − | 0.269431i | ||||
\(419\) | −11.4491 | − | 7.65007i | −0.559327 | − | 0.373730i | 0.243538 | − | 0.969891i | \(-0.421692\pi\) |
−0.802865 | + | 0.596161i | \(0.796692\pi\) | |||||||
\(420\) | −1.27232 | + | 0.265124i | −0.0620828 | + | 0.0129367i | ||||
\(421\) | 5.88197 | + | 1.17000i | 0.286670 | + | 0.0570221i | 0.336331 | − | 0.941744i | \(-0.390814\pi\) |
−0.0496609 | + | 0.998766i | \(0.515814\pi\) | |||||||
\(422\) | 1.67644 | − | 0.183597i | 0.0816079 | − | 0.00893738i | ||||
\(423\) | −6.97403 | − | 16.8368i | −0.339089 | − | 0.818633i | ||||
\(424\) | 25.5557 | + | 12.6028i | 1.24109 | + | 0.612047i | ||||
\(425\) | 26.4933 | + | 11.7724i | 1.28511 | + | 0.571043i | ||||
\(426\) | 1.98248 | − | 6.80153i | 0.0960513 | − | 0.329535i | ||||
\(427\) | −2.68426 | − | 0.533932i | −0.129900 | − | 0.0258388i | ||||
\(428\) | 6.18914 | + | 2.40685i | 0.299163 | + | 0.116339i | ||||
\(429\) | −0.571046 | − | 2.87084i | −0.0275704 | − | 0.138606i | ||||
\(430\) | 11.2013 | − | 20.8649i | 0.540175 | − | 1.00619i | ||||
\(431\) | −11.3022 | − | 11.3022i | −0.544408 | − | 0.544408i | 0.380410 | − | 0.924818i | \(-0.375783\pi\) |
−0.924818 | + | 0.380410i | \(0.875783\pi\) | |||||||
\(432\) | 20.2393 | − | 4.95240i | 0.973766 | − | 0.238272i | ||||
\(433\) | −33.0546 | −1.58850 | −0.794251 | − | 0.607590i | \(-0.792137\pi\) | ||||
−0.794251 | + | 0.607590i | \(0.792137\pi\) | |||||||
\(434\) | 1.29082 | − | 0.406993i | 0.0619615 | − | 0.0195363i | ||||
\(435\) | 1.89539 | + | 1.30164i | 0.0908768 | + | 0.0624090i | ||||
\(436\) | −0.229481 | − | 10.5186i | −0.0109902 | − | 0.503748i | ||||
\(437\) | −41.7654 | − | 8.30766i | −1.99791 | − | 0.397409i | ||||
\(438\) | −3.61521 | + | 12.4032i | −0.172742 | + | 0.592646i | ||||
\(439\) | −0.818682 | − | 1.97647i | −0.0390736 | − | 0.0943319i | 0.903138 | − | 0.429350i | \(-0.141257\pi\) |
−0.942212 | + | 0.335018i | \(0.891257\pi\) | |||||||
\(440\) | −0.641225 | − | 5.40099i | −0.0305692 | − | 0.257482i | ||||
\(441\) | −4.88598 | + | 11.7958i | −0.232666 | + | 0.561705i | ||||
\(442\) | −16.2424 | + | 20.2376i | −0.772573 | + | 0.962603i | ||||
\(443\) | −22.3961 | + | 14.9646i | −1.06407 | + | 0.710988i | −0.958980 | − | 0.283475i | \(-0.908513\pi\) |
−0.105089 | + | 0.994463i | \(0.533513\pi\) | |||||||
\(444\) | 2.96176 | + | 4.22987i | 0.140559 | + | 0.200741i | ||||
\(445\) | −17.7231 | − | 12.1712i | −0.840153 | − | 0.576969i | ||||
\(446\) | −23.0888 | − | 27.5163i | −1.09329 | − | 1.30293i | ||||
\(447\) | 2.83320 | − | 2.83320i | 0.134006 | − | 0.134006i | ||||
\(448\) | 0.282162 | − | 2.14307i | 0.0133309 | − | 0.101250i | ||||
\(449\) | 4.70238i | 0.221919i | 0.993825 | + | 0.110959i | \(0.0353924\pi\) | ||||
−0.993825 | + | 0.110959i | \(0.964608\pi\) | |||||||
\(450\) | −1.46596 | + | 12.9505i | −0.0691059 | + | 0.610494i | ||||
\(451\) | 5.38490 | + | 3.59807i | 0.253565 | + | 0.169427i | ||||
\(452\) | −10.7985 | − | 1.90411i | −0.507920 | − | 0.0895616i | ||||
\(453\) | −5.64036 | − | 8.44140i | −0.265007 | − | 0.396612i | ||||
\(454\) | −1.63592 | − | 14.9377i | −0.0767775 | − | 0.701061i | ||||
\(455\) | 1.75698 | + | 0.754098i | 0.0823686 | + | 0.0353527i | ||||
\(456\) | 2.79789 | + | 21.2529i | 0.131023 | + | 0.995257i | ||||
\(457\) | 3.86609 | − | 9.33357i | 0.180848 | − | 0.436606i | −0.807294 | − | 0.590150i | \(-0.799069\pi\) |
0.988142 | + | 0.153544i | \(0.0490686\pi\) | |||||||
\(458\) | −16.2594 | − | 4.73921i | −0.759751 | − | 0.221449i | ||||
\(459\) | −25.1133 | + | 16.7802i | −1.17219 | + | 0.783232i | ||||
\(460\) | −18.9360 | + | 19.2834i | −0.882897 | + | 0.899094i | ||||
\(461\) | −0.632600 | − | 3.18029i | −0.0294631 | − | 0.148121i | 0.963254 | − | 0.268594i | \(-0.0865589\pi\) |
−0.992717 | + | 0.120473i | \(0.961559\pi\) | |||||||
\(462\) | −0.313500 | − | 0.163198i | −0.0145853 | − | 0.00759267i | ||||
\(463\) | − | 35.5622i | − | 1.65272i | −0.563145 | − | 0.826358i | \(-0.690409\pi\) | ||
0.563145 | − | 0.826358i | \(-0.309591\pi\) | |||||||
\(464\) | −3.08399 | + | 2.26125i | −0.143171 | + | 0.104976i | ||||
\(465\) | −0.108392 | + | 8.51800i | −0.00502656 | + | 0.395013i | ||||
\(466\) | 13.5232 | + | 7.03976i | 0.626450 | + | 0.326110i | ||||
\(467\) | −18.0323 | + | 26.9872i | −0.834435 | + | 1.24882i | 0.131831 | + | 0.991272i | \(0.457914\pi\) |
−0.966266 | + | 0.257547i | \(0.917086\pi\) | |||||||
\(468\) | −10.8727 | − | 4.22819i | −0.502589 | − | 0.195448i | ||||
\(469\) | 0.373263 | − | 0.249406i | 0.0172357 | − | 0.0115165i | ||||
\(470\) | 9.13050 | − | 29.9034i | 0.421158 | − | 1.37934i | ||||
\(471\) | −4.97002 | − | 11.9987i | −0.229007 | − | 0.552871i | ||||
\(472\) | −8.45059 | − | 4.16742i | −0.388970 | − | 0.191821i | ||||
\(473\) | 5.94986 | − | 2.46451i | 0.273575 | − | 0.113318i | ||||
\(474\) | 4.46857 | − | 5.56770i | 0.205248 | − | 0.255733i | ||||
\(475\) | −34.3692 | − | 7.75054i | −1.57697 | − | 0.355619i | ||||
\(476\) | 0.678160 | + | 3.05903i | 0.0310834 | + | 0.140210i | ||||
\(477\) | −3.62256 | − | 18.2118i | −0.165866 | − | 0.833863i | ||||
\(478\) | −16.3569 | − | 19.4935i | −0.748149 | − | 0.891612i | ||||
\(479\) | − | 7.47057i | − | 0.341339i | −0.985328 | − | 0.170670i | \(-0.945407\pi\) | ||
0.985328 | − | 0.170670i | \(-0.0545931\pi\) | |||||||
\(480\) | 12.2560 | + | 5.90617i | 0.559405 | + | 0.269579i | ||||
\(481\) | − | 7.59657i | − | 0.346374i | ||||||
\(482\) | 17.8395 | − | 14.9691i | 0.812569 | − | 0.681824i | ||||
\(483\) | 0.342625 | + | 1.72249i | 0.0155900 | + | 0.0783761i | ||||
\(484\) | −11.0259 | + | 17.3071i | −0.501179 | + | 0.786687i | ||||
\(485\) | −15.2090 | − | 23.4011i | −0.690606 | − | 1.06259i | ||||
\(486\) | −17.1489 | − | 13.7635i | −0.777892 | − | 0.624326i | ||||
\(487\) | 17.6089 | − | 7.29384i | 0.797935 | − | 0.330515i | 0.0538059 | − | 0.998551i | \(-0.482865\pi\) |
0.744129 | + | 0.668036i | \(0.232865\pi\) | |||||||
\(488\) | 18.8898 | + | 21.5399i | 0.855102 | + | 0.975067i | ||||
\(489\) | 5.92295 | + | 14.2993i | 0.267845 | + | 0.646635i | ||||
\(490\) | −19.3373 | + | 10.2909i | −0.873570 | + | 0.464893i | ||||
\(491\) | 9.18371 | − | 6.13636i | 0.414455 | − | 0.276930i | −0.330811 | − | 0.943697i | \(-0.607322\pi\) |
0.745266 | + | 0.666767i | \(0.232322\pi\) | |||||||
\(492\) | −14.8279 | + | 6.52440i | −0.668495 | + | 0.294142i | ||||
\(493\) | 3.07971 | − | 4.60911i | 0.138703 | − | 0.207584i | ||||
\(494\) | 14.5617 | − | 27.9726i | 0.655162 | − | 1.25855i | ||||
\(495\) | −2.53791 | + | 2.47413i | −0.114071 | + | 0.111204i | ||||
\(496\) | −13.3137 | − | 4.84589i | −0.597803 | − | 0.217587i | ||||
\(497\) | 1.25847i | 0.0564501i | ||||||||
\(498\) | −5.00522 | + | 9.61489i | −0.224289 | + | 0.430854i | ||||
\(499\) | 6.51708 | + | 32.7636i | 0.291745 | + | 1.46670i | 0.797131 | + | 0.603806i | \(0.206350\pi\) |
−0.505386 | + | 0.862893i | \(0.668650\pi\) | |||||||
\(500\) | −16.0679 | + | 15.5506i | −0.718580 | + | 0.695445i | ||||
\(501\) | 2.89343 | − | 1.93333i | 0.129269 | − | 0.0863748i | ||||
\(502\) | −10.7185 | + | 36.7733i | −0.478390 | + | 1.64127i | ||||
\(503\) | −7.66784 | + | 18.5118i | −0.341892 | + | 0.825400i | 0.655633 | + | 0.755080i | \(0.272402\pi\) |
−0.997524 | + | 0.0703200i | \(0.977598\pi\) | |||||||
\(504\) | −1.21989 | + | 0.704298i | −0.0543384 | + | 0.0313719i | ||||
\(505\) | −13.7001 | + | 31.9200i | −0.609646 | + | 1.42042i | ||||
\(506\) | −7.30603 | + | 0.800128i | −0.324793 | + | 0.0355700i | ||||
\(507\) | 1.78385 | + | 2.66972i | 0.0792234 | + | 0.118566i | ||||
\(508\) | −9.17310 | + | 6.42303i | −0.406990 | + | 0.284976i | ||||
\(509\) | −27.1136 | − | 18.1168i | −1.20179 | − | 0.803011i | −0.216901 | − | 0.976194i | \(-0.569595\pi\) |
−0.984890 | + | 0.173182i | \(0.944595\pi\) | |||||||
\(510\) | −19.6224 | − | 1.96866i | −0.868895 | − | 0.0871737i | ||||
\(511\) | − | 2.29492i | − | 0.101521i | ||||||
\(512\) | −16.0002 | + | 15.9998i | −0.707117 | + | 0.707096i | ||||
\(513\) | 25.9549 | − | 25.9549i | 1.14594 | − | 1.14594i | ||||
\(514\) | −22.5018 | + | 18.8812i | −0.992512 | + | 0.832814i | ||||
\(515\) | 29.8879 | − | 5.55070i | 1.31702 | − | 0.244593i | ||||
\(516\) | −2.79737 | + | 15.8644i | −0.123147 | + | 0.698390i | ||||
\(517\) | 7.06977 | − | 4.72387i | 0.310928 | − | 0.207756i | ||||
\(518\) | −0.715353 | − | 0.574134i | −0.0314308 | − | 0.0252260i | ||||
\(519\) | −1.35880 | + | 3.28042i | −0.0596445 | + | 0.143995i | ||||
\(520\) | −9.78591 | − | 17.4592i | −0.429141 | − | 0.765638i | ||||
\(521\) | −16.4975 | − | 39.8284i | −0.722767 | − | 1.74491i | −0.665312 | − | 0.746565i | \(-0.731701\pi\) |
−0.0574549 | − | 0.998348i | \(-0.518299\pi\) | |||||||
\(522\) | 2.39250 | + | 0.697355i | 0.104717 | + | 0.0305224i | ||||
\(523\) | −4.13031 | − | 0.821571i | −0.180606 | − | 0.0359248i | 0.103959 | − | 0.994582i | \(-0.466849\pi\) |
−0.284565 | + | 0.958657i | \(0.591849\pi\) | |||||||
\(524\) | 19.6812 | + | 18.8408i | 0.859778 | + | 0.823064i | ||||
\(525\) | 0.247121 | + | 1.43188i | 0.0107852 | + | 0.0624925i | ||||
\(526\) | 11.0661 | + | 35.0974i | 0.482506 | + | 1.53032i | ||||
\(527\) | 20.5375 | 0.894630 | ||||||||
\(528\) | 1.56357 | + | 3.35315i | 0.0680458 | + | 0.145927i | ||||
\(529\) | 9.56092 | + | 9.56092i | 0.415692 | + | 0.415692i | ||||
\(530\) | 15.0686 | − | 28.0685i | 0.654538 | − | 1.21922i | ||||
\(531\) | 1.19789 | + | 6.02218i | 0.0519838 | + | 0.261340i | ||||
\(532\) | −1.53358 | − | 3.48536i | −0.0664892 | − | 0.151110i | ||||
\(533\) | 23.3745 | + | 4.64947i | 1.01246 | + | 0.201391i | ||||
\(534\) | 14.0408 | + | 4.09255i | 0.607606 | + | 0.177102i | ||||
\(535\) | 2.92827 | − | 6.82262i | 0.126600 | − | 0.294967i | ||||
\(536\) | −4.68927 | − | 0.307374i | −0.202545 | − | 0.0132765i | ||||
\(537\) | −1.13289 | − | 2.73503i | −0.0488876 | − | 0.118025i | ||||
\(538\) | −3.65239 | − | 33.3502i | −0.157466 | − | 1.43783i | ||||
\(539\) | −5.84254 | − | 1.16215i | −0.251656 | − | 0.0500575i | ||||
\(540\) | −4.75227 | − | 22.8060i | −0.204505 | − | 0.981413i | ||||
\(541\) | 22.0987 | + | 14.7659i | 0.950099 | + | 0.634836i | 0.931015 | − | 0.364982i | \(-0.118925\pi\) |
0.0190843 | + | 0.999818i | \(0.493925\pi\) | |||||||
\(542\) | −5.58736 | − | 6.65878i | −0.239998 | − | 0.286019i | ||||
\(543\) | 12.9164 | − | 12.9164i | 0.554298 | − | 0.554298i | ||||
\(544\) | 13.8620 | − | 29.7265i | 0.594327 | − | 1.27451i | ||||
\(545\) | −11.7620 | − | 0.149672i | −0.503827 | − | 0.00641122i | ||||
\(546\) | −1.29566 | − | 0.113357i | −0.0554489 | − | 0.00485124i | ||||
\(547\) | 32.2158 | − | 6.40812i | 1.37745 | − | 0.273992i | 0.549827 | − | 0.835278i | \(-0.314693\pi\) |
0.827621 | + | 0.561287i | \(0.189693\pi\) | |||||||
\(548\) | 2.76018 | − | 4.33258i | 0.117909 | − | 0.185079i | ||||
\(549\) | 3.64230 | − | 18.3111i | 0.155449 | − | 0.781497i | ||||
\(550\) | −6.05965 | + | 0.507969i | −0.258384 | + | 0.0216599i | ||||
\(551\) | −2.57802 | + | 6.22390i | −0.109827 | + | 0.265147i | ||||
\(552\) | 8.13131 | − | 16.4885i | 0.346092 | − | 0.701796i | ||||
\(553\) | −0.485306 | + | 1.17163i | −0.0206373 | + | 0.0498229i | ||||
\(554\) | 4.29683 | + | 1.25242i | 0.182555 | + | 0.0532102i | ||||
\(555\) | 4.84066 | − | 3.14608i | 0.205475 | − | 0.133544i | ||||
\(556\) | −37.2619 | + | 16.3955i | −1.58026 | + | 0.695324i | ||||
\(557\) | 12.1015 | + | 8.08599i | 0.512758 | + | 0.342614i | 0.784879 | − | 0.619649i | \(-0.212725\pi\) |
−0.272121 | + | 0.962263i | \(0.587725\pi\) | |||||||
\(558\) | 2.77636 | + | 8.80555i | 0.117533 | + | 0.372769i | ||||
\(559\) | 16.7576 | − | 16.7576i | 0.708772 | − | 0.708772i | ||||
\(560\) | −2.38370 | − | 0.398015i | −0.100730 | − | 0.0168192i | ||||
\(561\) | −3.79223 | − | 3.79223i | −0.160108 | − | 0.160108i | ||||
\(562\) | 14.6618 | − | 28.1650i | 0.618471 | − | 1.18807i | ||||
\(563\) | 18.3729 | − | 27.4969i | 0.774324 | − | 1.15886i | −0.209163 | − | 0.977881i | \(-0.567074\pi\) |
0.983487 | − | 0.180977i | \(-0.0579261\pi\) | |||||||
\(564\) | 0.463903 | + | 21.2636i | 0.0195338 | + | 0.895358i | ||||
\(565\) | −2.54448 | + | 11.9924i | −0.107047 | + | 0.504524i | ||||
\(566\) | −18.5120 | + | 10.1560i | −0.778119 | + | 0.426889i | ||||
\(567\) | −0.0182617 | − | 0.00756423i | −0.000766918 | − | 0.000317668i | ||||
\(568\) | 8.01973 | − | 10.4514i | 0.336500 | − | 0.438532i | ||||
\(569\) | −27.2961 | − | 11.3064i | −1.14431 | − | 0.473989i | −0.271689 | − | 0.962385i | \(-0.587582\pi\) |
−0.872622 | + | 0.488396i | \(0.837582\pi\) | |||||||
\(570\) | 23.8553 | − | 2.30577i | 0.999188 | − | 0.0965779i | ||||
\(571\) | 30.3382 | + | 6.03464i | 1.26961 | + | 0.252542i | 0.783521 | − | 0.621365i | \(-0.213422\pi\) |
0.486093 | + | 0.873907i | \(0.338422\pi\) | |||||||
\(572\) | 0.945171 | − | 5.36023i | 0.0395196 | − | 0.224122i | ||||
\(573\) | −3.97861 | − | 20.0018i | −0.166209 | − | 0.835589i | ||||
\(574\) | 2.20443 | − | 1.84973i | 0.0920110 | − | 0.0772062i | ||||
\(575\) | 20.8156 | + | 21.9030i | 0.868071 | + | 0.913417i | ||||
\(576\) | 14.6193 | + | 1.92481i | 0.609136 | + | 0.0802004i | ||||
\(577\) | 6.75060 | + | 6.75060i | 0.281031 | + | 0.281031i | 0.833520 | − | 0.552489i | \(-0.186322\pi\) |
−0.552489 | + | 0.833520i | \(0.686322\pi\) | |||||||
\(578\) | −2.04848 | + | 23.4137i | −0.0852053 | + | 0.973883i | ||||
\(579\) | −10.5282 | + | 15.7566i | −0.437537 | + | 0.654820i | ||||
\(580\) | 2.40758 | + | 3.53325i | 0.0999693 | + | 0.146710i | ||||
\(581\) | 0.375648 | − | 1.88851i | 0.0155845 | − | 0.0783486i | ||||
\(582\) | 14.8061 | + | 11.8832i | 0.613733 | + | 0.492575i | ||||
\(583\) | 8.00406 | − | 3.31539i | 0.331494 | − | 0.137309i | ||||
\(584\) | −14.6246 | + | 19.0590i | −0.605172 | + | 0.788668i | ||||
\(585\) | −5.14420 | + | 11.9855i | −0.212686 | + | 0.495540i | ||||
\(586\) | 11.1840 | + | 20.3859i | 0.462008 | + | 0.842132i | ||||
\(587\) | 6.09959 | − | 30.6647i | 0.251757 | − | 1.26567i | −0.623429 | − | 0.781880i | \(-0.714261\pi\) |
0.875186 | − | 0.483787i | \(-0.160739\pi\) | |||||||
\(588\) | 10.3041 | − | 10.7637i | 0.424934 | − | 0.443889i | ||||
\(589\) | −24.4793 | + | 4.86924i | −1.00865 | + | 0.200633i | ||||
\(590\) | −4.98279 | + | 9.28152i | −0.205138 | + | 0.382114i | ||||
\(591\) | −4.38601 | + | 4.38601i | −0.180417 | + | 0.180417i | ||||
\(592\) | 2.28218 | + | 9.32676i | 0.0937970 | + | 0.383328i | ||||
\(593\) | 8.68900i | 0.356814i | 0.983957 | + | 0.178407i | \(0.0570944\pi\) | ||||
−0.983957 | + | 0.178407i | \(0.942906\pi\) | |||||||
\(594\) | 2.92529 | − | 5.61940i | 0.120026 | − | 0.230567i | ||||
\(595\) | 3.44424 | − | 0.639655i | 0.141200 | − | 0.0262233i | ||||
\(596\) | 6.81959 | − | 3.00067i | 0.279341 | − | 0.122912i | ||||
\(597\) | −2.16284 | + | 10.8733i | −0.0885192 | + | 0.445016i | ||||
\(598\) | −23.7122 | + | 13.0089i | −0.969663 | + | 0.531973i | ||||
\(599\) | 35.4461 | − | 14.6822i | 1.44829 | − | 0.599900i | 0.486496 | − | 0.873683i | \(-0.338275\pi\) |
0.961792 | + | 0.273782i | \(0.0882748\pi\) | |||||||
\(600\) | 7.07253 | − | 13.4664i | 0.288735 | − | 0.549763i | ||||
\(601\) | −9.18193 | − | 3.80328i | −0.374539 | − | 0.155139i | 0.187470 | − | 0.982270i | \(-0.439971\pi\) |
−0.562009 | + | 0.827131i | \(0.689971\pi\) | |||||||
\(602\) | −0.311523 | − | 2.84454i | −0.0126967 | − | 0.115935i | ||||
\(603\) | 1.70136 | + | 2.54627i | 0.0692849 | + | 0.103692i | ||||
\(604\) | −4.08597 | − | 18.4309i | −0.166256 | − | 0.749943i | ||||
\(605\) | 18.9127 | + | 12.9882i | 0.768912 | + | 0.528045i | ||||
\(606\) | 2.05942 | − | 23.5388i | 0.0836582 | − | 0.956200i | ||||
\(607\) | 33.8432 | + | 33.8432i | 1.37365 | + | 1.37365i | 0.854962 | + | 0.518691i | \(0.173580\pi\) |
0.518691 | + | 0.854962i | \(0.326420\pi\) | |||||||
\(608\) | −9.47466 | + | 38.7184i | −0.384248 | + | 1.57024i | ||||
\(609\) | 0.277835 | 0.0112585 | ||||||||
\(610\) | 24.7973 | − | 20.2753i | 1.00401 | − | 0.820923i | ||||
\(611\) | 17.3834 | − | 26.0161i | 0.703257 | − | 1.05250i | ||||
\(612\) | −20.8676 | + | 4.62617i | −0.843524 | + | 0.187002i | ||||
\(613\) | −11.1517 | + | 7.45133i | −0.450413 | + | 0.300956i | −0.760010 | − | 0.649912i | \(-0.774806\pi\) |
0.309597 | + | 0.950868i | \(0.399806\pi\) | |||||||
\(614\) | 14.6976 | − | 18.3128i | 0.593147 | − | 0.739043i | ||||
\(615\) | 6.71769 | + | 16.8201i | 0.270883 | + | 0.678254i | ||||
\(616\) | −0.433328 | − | 0.494120i | −0.0174593 | − | 0.0199087i | ||||
\(617\) | 3.79169 | + | 1.57057i | 0.152648 | + | 0.0632287i | 0.457699 | − | 0.889107i | \(-0.348674\pi\) |
−0.305051 | + | 0.952336i | \(0.598674\pi\) | |||||||
\(618\) | −18.1295 | + | 9.94617i | −0.729277 | + | 0.400094i | ||||
\(619\) | 8.16039 | + | 12.2129i | 0.327994 | + | 0.490877i | 0.958416 | − | 0.285375i | \(-0.0921182\pi\) |
−0.630422 | + | 0.776252i | \(0.717118\pi\) | |||||||
\(620\) | −5.92864 | + | 14.6892i | −0.238100 | + | 0.589933i | ||||
\(621\) | −30.8752 | + | 6.14146i | −1.23898 | + | 0.246448i | ||||
\(622\) | −9.70802 | − | 30.7901i | −0.389256 | − | 1.23457i | ||||
\(623\) | −2.59794 | −0.104084 | ||||||||
\(624\) | 10.0379 | + | 9.19812i | 0.401836 | + | 0.368219i | ||||
\(625\) | 16.7554 | + | 18.5541i | 0.670217 | + | 0.742166i | ||||
\(626\) | −45.0730 | + | 14.2114i | −1.80148 | + | 0.568001i | ||||
\(627\) | 5.41917 | + | 3.62097i | 0.216421 | + | 0.144608i | ||||
\(628\) | −0.526749 | − | 24.1442i | −0.0210196 | − | 0.963457i | ||||
\(629\) | −7.73270 | − | 11.5728i | −0.308323 | − | 0.461438i | ||||
\(630\) | 0.739864 | + | 1.39026i | 0.0294769 | + | 0.0553893i | ||||
\(631\) | 16.9819 | − | 7.03415i | 0.676040 | − | 0.280025i | −0.0181304 | − | 0.999836i | \(-0.505771\pi\) |
0.694170 | + | 0.719811i | \(0.255771\pi\) | |||||||
\(632\) | 11.4967 | − | 6.63758i | 0.457316 | − | 0.264029i | ||||
\(633\) | 0.490834 | + | 1.18498i | 0.0195089 | + | 0.0470987i | ||||
\(634\) | 1.83136 | + | 16.7223i | 0.0727325 | + | 0.664126i | ||||
\(635\) | 6.82274 | + | 10.4977i | 0.270752 | + | 0.416588i | ||||
\(636\) | −3.76317 | + | 21.3416i | −0.149219 | + | 0.846249i | ||||
\(637\) | −21.5000 | + | 4.27661i | −0.851860 | + | 0.169446i | ||||
\(638\) | −0.101339 | + | 1.15829i | −0.00401207 | + | 0.0458573i | ||||
\(639\) | −8.58484 | −0.339611 | ||||||||
\(640\) | 17.2599 | + | 18.4958i | 0.682257 | + | 0.731112i | ||||
\(641\) | −30.5684 | −1.20738 | −0.603690 | − | 0.797219i | \(-0.706303\pi\) | ||||
−0.603690 | + | 0.797219i | \(0.706303\pi\) | |||||||
\(642\) | −0.440183 | + | 5.03122i | −0.0173726 | + | 0.198566i | ||||
\(643\) | −15.2266 | + | 3.02876i | −0.600479 | + | 0.119443i | −0.485964 | − | 0.873979i | \(-0.661531\pi\) |
−0.114515 | + | 0.993422i | \(0.536531\pi\) | |||||||
\(644\) | −0.567099 | + | 3.21611i | −0.0223468 | + | 0.126733i | ||||
\(645\) | 17.6183 | + | 3.73816i | 0.693721 | + | 0.147190i | ||||
\(646\) | −6.29026 | − | 57.4369i | −0.247487 | − | 2.25982i | ||||
\(647\) | −12.7053 | − | 30.6733i | −0.499496 | − | 1.20589i | −0.949755 | − | 0.312993i | \(-0.898668\pi\) |
0.450259 | − | 0.892898i | \(-0.351332\pi\) | |||||||
\(648\) | 0.103457 | + | 0.179194i | 0.00406416 | + | 0.00703941i | ||||
\(649\) | −2.64673 | + | 1.09631i | −0.103893 | + | 0.0430341i | ||||
\(650\) | −19.8862 | + | 10.2604i | −0.780000 | + | 0.402447i | ||||
\(651\) | 0.571879 | + | 0.855878i | 0.0224137 | + | 0.0335445i | ||||
\(652\) | 0.627745 | + | 28.7734i | 0.0245844 | + | 1.12685i | ||||
\(653\) | 7.23797 | + | 4.83626i | 0.283244 | + | 0.189257i | 0.689074 | − | 0.724691i | \(-0.258018\pi\) |
−0.405830 | + | 0.913949i | \(0.633018\pi\) | |||||||
\(654\) | 7.63128 | − | 2.40612i | 0.298407 | − | 0.0940867i | ||||
\(655\) | 21.8119 | − | 21.2638i | 0.852262 | − | 0.830844i | ||||
\(656\) | −30.0950 | + | 1.31378i | −1.17501 | + | 0.0512945i | ||||
\(657\) | 15.6552 | 0.610767 | ||||||||
\(658\) | −1.13608 | − | 3.60320i | −0.0442890 | − | 0.140468i | ||||
\(659\) | 23.5495 | − | 4.68428i | 0.917356 | − | 0.182474i | 0.286237 | − | 0.958159i | \(-0.407596\pi\) |
0.631120 | + | 0.775685i | \(0.282596\pi\) | |||||||
\(660\) | 3.80706 | − | 1.61763i | 0.148190 | − | 0.0629662i | ||||
\(661\) | −0.751779 | − | 1.12512i | −0.0292408 | − | 0.0437620i | 0.816561 | − | 0.577259i | \(-0.195878\pi\) |
−0.845802 | + | 0.533497i | \(0.820878\pi\) | |||||||
\(662\) | −26.2088 | + | 14.3786i | −1.01863 | + | 0.558840i | ||||
\(663\) | −18.2332 | − | 7.55242i | −0.708117 | − | 0.293312i | ||||
\(664\) | −15.1544 | + | 13.2900i | −0.588106 | + | 0.515750i | ||||
\(665\) | −3.95364 | + | 1.57902i | −0.153315 | + | 0.0612316i | ||||
\(666\) | 3.91654 | − | 4.87989i | 0.151763 | − | 0.189092i | ||||
\(667\) | 4.80392 | − | 3.20987i | 0.186008 | − | 0.124287i | ||||
\(668\) | 6.31751 | − | 1.40054i | 0.244432 | − | 0.0541884i | ||||
\(669\) | 15.1772 | − | 22.7143i | 0.586786 | − | 0.878187i | ||||
\(670\) | −0.524486 | + | 5.22776i | −0.0202627 | + | 0.201966i | ||||
\(671\) | 8.71074 | 0.336274 | ||||||||
\(672\) | 1.62481 | − | 0.250068i | 0.0626784 | − | 0.00964660i | ||||
\(673\) | 21.8943 | + | 21.8943i | 0.843962 | + | 0.843962i | 0.989372 | − | 0.145410i | \(-0.0464500\pi\) |
−0.145410 | + | 0.989372i | \(0.546450\pi\) | |||||||
\(674\) | −0.578021 | + | 6.60668i | −0.0222645 | + | 0.254480i | ||||
\(675\) | −25.6661 | + | 4.42957i | −0.987890 | + | 0.170494i | ||||
\(676\) | 1.29225 | + | 5.82904i | 0.0497018 | + | 0.224194i | ||||
\(677\) | 18.2779 | + | 27.3548i | 0.702477 | + | 1.05133i | 0.995457 | + | 0.0952121i | \(0.0303529\pi\) |
−0.292980 | + | 0.956118i | \(0.594647\pi\) | |||||||
\(678\) | −0.907863 | − | 8.28976i | −0.0348663 | − | 0.318366i | ||||
\(679\) | −3.11571 | − | 1.29057i | −0.119570 | − | 0.0495275i | ||||
\(680\) | −32.6802 | − | 16.6365i | −1.25323 | − | 0.637983i | ||||
\(681\) | 10.5586 | − | 4.37351i | 0.404606 | − | 0.167593i | ||||
\(682\) | −3.77674 | + | 2.07198i | −0.144619 | + | 0.0793403i | ||||
\(683\) | −0.356763 | + | 1.79357i | −0.0136512 | + | 0.0686290i | −0.987010 | − | 0.160656i | \(-0.948639\pi\) |
0.973359 | + | 0.229285i | \(0.0736389\pi\) | |||||||
\(684\) | 23.7759 | − | 10.4616i | 0.909096 | − | 0.400008i | ||||
\(685\) | −4.73453 | − | 3.25140i | −0.180897 | − | 0.124230i | ||||
\(686\) | −2.45729 | + | 4.72040i | −0.0938199 | + | 0.180226i | ||||
\(687\) | − | 12.8804i | − | 0.491417i | ||||||
\(688\) | −15.5400 | + | 25.6087i | −0.592456 | + | 0.976324i | ||||
\(689\) | 22.5433 | − | 22.5433i | 0.858830 | − | 0.858830i | ||||
\(690\) | −18.1098 | − | 9.72223i | −0.689426 | − | 0.370119i | ||||
\(691\) | 21.3526 | − | 4.24729i | 0.812291 | − | 0.161575i | 0.228568 | − | 0.973528i | \(-0.426596\pi\) |
0.583722 | + | 0.811953i | \(0.301596\pi\) | |||||||
\(692\) | −4.56576 | + | 4.76943i | −0.173564 | + | 0.181306i | ||||
\(693\) | −0.0835533 | + | 0.420051i | −0.00317393 | + | 0.0159564i | ||||
\(694\) | 1.79891 | + | 3.27899i | 0.0682855 | + | 0.124469i | ||||
\(695\) | 16.8812 | + | 42.2682i | 0.640342 | + | 1.60333i | ||||
\(696\) | −2.30738 | − | 1.77054i | −0.0874611 | − | 0.0671120i | ||||
\(697\) | 40.3420 | − | 16.7102i | 1.52806 | − | 0.632945i | ||||
\(698\) | −6.31550 | − | 5.06874i | −0.239045 | − | 0.191855i | ||||
\(699\) | −2.26206 | + | 11.3722i | −0.0855590 | + | 0.430134i | ||||
\(700\) | −0.536755 | + | 2.64810i | −0.0202874 | + | 0.100089i | ||||
\(701\) | −24.3925 | + | 36.5060i | −0.921293 | + | 1.37881i | 0.00417727 | + | 0.999991i | \(0.498670\pi\) |
−0.925470 | + | 0.378821i | \(0.876330\pi\) | |||||||
\(702\) | 2.03190 | − | 23.2243i | 0.0766891 | − | 0.876544i | ||||
\(703\) | 11.9606 | + | 11.9606i | 0.451103 | + | 0.451103i | ||||
\(704\) | 0.449890 | + | 6.86503i | 0.0169559 | + | 0.258735i | ||||
\(705\) | 23.7771 | + | 0.302565i | 0.895498 | + | 0.0113953i | ||||
\(706\) | −24.5760 | + | 20.6216i | −0.924929 | + | 0.776105i | ||||
\(707\) | 0.818854 | + | 4.11666i | 0.0307962 | + | 0.154823i | ||||
\(708\) | 1.24438 | − | 7.05710i | 0.0467667 | − | 0.265222i | ||||
\(709\) | −37.3364 | − | 7.42667i | −1.40220 | − | 0.278914i | −0.564673 | − | 0.825315i | \(-0.690998\pi\) |
−0.837524 | + | 0.546400i | \(0.815998\pi\) | |||||||
\(710\) | −11.3685 | − | 9.36448i | −0.426650 | − | 0.351443i | ||||
\(711\) | −7.99247 | − | 3.31059i | −0.299741 | − | 0.124157i | ||||
\(712\) | 21.5755 | + | 16.5556i | 0.808576 | + | 0.620448i | ||||
\(713\) | 19.7762 | + | 8.19156i | 0.740623 | + | 0.306776i | ||||
\(714\) | −2.08922 | + | 1.14618i | −0.0781872 | + | 0.0428948i | ||||
\(715\) | −5.95285 | − | 1.26304i | −0.222624 | − | 0.0472352i | ||||
\(716\) | −0.120069 | − | 5.50351i | −0.00448719 | − | 0.205676i | ||||
\(717\) | 10.7521 | − | 16.0916i | 0.401544 | − | 0.600952i | ||||
\(718\) | 9.48932 | − | 18.2287i | 0.354138 | − | 0.680290i | ||||
\(719\) | −14.0317 | − | 14.0317i | −0.523292 | − | 0.523292i | 0.395272 | − | 0.918564i | \(-0.370650\pi\) |
−0.918564 | + | 0.395272i | \(0.870650\pi\) | |||||||
\(720\) | 2.71512 | − | 16.2608i | 0.101187 | − | 0.606003i | ||||
\(721\) | 2.59739 | − | 2.59739i | 0.0967318 | − | 0.0967318i | ||||
\(722\) | 13.0353 | + | 41.3429i | 0.485123 | + | 1.53862i | ||||
\(723\) | 14.7263 | + | 9.83980i | 0.547677 | + | 0.365946i | ||||
\(724\) | 31.0903 | − | 13.6799i | 1.15546 | − | 0.508410i | ||||
\(725\) | 4.04089 | − | 2.55374i | 0.150075 | − | 0.0948436i | ||||
\(726\) | −14.9833 | − | 4.36727i | −0.556083 | − | 0.162085i | ||||
\(727\) | −6.18775 | + | 14.9386i | −0.229491 | + | 0.554040i | −0.996116 | − | 0.0880552i | \(-0.971935\pi\) |
0.766625 | + | 0.642096i | \(0.221935\pi\) | |||||||
\(728\) | −2.16906 | − | 1.06968i | −0.0803908 | − | 0.0396448i | ||||
\(729\) | 6.48377 | − | 15.6532i | 0.240140 | − | 0.579749i | ||||
\(730\) | 20.7313 | + | 17.0769i | 0.767300 | + | 0.632045i | ||||
\(731\) | 8.47107 | − | 42.5869i | 0.313314 | − | 1.57513i | ||||
\(732\) | −11.7072 | + | 18.3765i | −0.432712 | + | 0.679216i | ||||
\(733\) | −49.8510 | + | 9.91599i | −1.84129 | + | 0.366255i | −0.987909 | − | 0.155033i | \(-0.950452\pi\) |
−0.853381 | + | 0.521288i | \(0.825452\pi\) | |||||||
\(734\) | 36.9962 | + | 3.23681i | 1.36555 | + | 0.119473i | ||||
\(735\) | −11.6292 | − | 11.9290i | −0.428951 | − | 0.440008i | ||||
\(736\) | 25.2047 | − | 23.0955i | 0.929058 | − | 0.851310i | ||||
\(737\) | −1.01032 | + | 1.01032i | −0.0372156 | + | 0.0372156i | ||||
\(738\) | 12.6182 | + | 15.0378i | 0.464482 | + | 0.553550i | ||||
\(739\) | 22.9770 | + | 15.3528i | 0.845224 | + | 0.564760i | 0.901067 | − | 0.433679i | \(-0.142785\pi\) |
−0.0558438 | + | 0.998440i | \(0.517785\pi\) | |||||||
\(740\) | 10.5095 | − | 2.18996i | 0.386338 | − | 0.0805045i | ||||
\(741\) | 23.5232 | + | 4.67906i | 0.864148 | + | 0.171890i | ||||
\(742\) | −0.419078 | − | 3.82663i | −0.0153848 | − | 0.140480i | ||||
\(743\) | 1.95123 | + | 4.71070i | 0.0715838 | + | 0.172819i | 0.955622 | − | 0.294597i | \(-0.0951853\pi\) |
−0.884038 | + | 0.467415i | \(0.845185\pi\) | |||||||
\(744\) | 0.704796 | − | 10.7523i | 0.0258391 | − | 0.394199i | ||||
\(745\) | −3.08956 | − | 7.73584i | −0.113193 | − | 0.283419i | ||||
\(746\) | −6.22835 | − | 1.81541i | −0.228036 | − | 0.0664669i | ||||
\(747\) | 12.8828 | + | 2.56254i | 0.471356 | + | 0.0937585i | ||||
\(748\) | −4.01639 | − | 9.12802i | −0.146854 | − | 0.333753i | ||||
\(749\) | −0.175023 | − | 0.879899i | −0.00639519 | − | 0.0321508i | ||||
\(750\) | −14.7739 | − | 8.42250i | −0.539465 | − | 0.307546i | ||||
\(751\) | −29.7373 | − | 29.7373i | −1.08513 | − | 1.08513i | −0.996022 | − | 0.0891071i | \(-0.971599\pi\) |
−0.0891071 | − | 0.996022i | \(-0.528401\pi\) | |||||||
\(752\) | −13.5268 | + | 37.1639i | −0.493273 | + | 1.35523i | ||||
\(753\) | −29.1311 | −1.06160 | ||||||||
\(754\) | 1.28662 | + | 4.08066i | 0.0468560 | + | 0.148609i | ||||
\(755\) | −20.7518 | + | 3.85398i | −0.755237 | + | 0.140261i | ||||
\(756\) | −2.03342 | − | 1.94658i | −0.0739546 | − | 0.0707966i | ||||
\(757\) | −47.8165 | − | 9.51128i | −1.73792 | − | 0.345693i | −0.778493 | − | 0.627654i | \(-0.784015\pi\) |
−0.959426 | + | 0.281960i | \(0.909015\pi\) | |||||||
\(758\) | 37.8589 | + | 11.0349i | 1.37510 | + | 0.400807i | ||||
\(759\) | −2.13908 | − | 5.16421i | −0.0776439 | − | 0.187449i | ||||
\(760\) | 42.8968 | + | 12.0815i | 1.55603 | + | 0.438241i | ||||
\(761\) | −18.7815 | + | 45.3426i | −0.680830 | + | 1.64367i | 0.0816541 | + | 0.996661i | \(0.473980\pi\) |
−0.762484 | + | 0.647007i | \(0.776020\pi\) | |||||||
\(762\) | −6.64199 | − | 5.33078i | −0.240614 | − | 0.193114i | ||||
\(763\) | −1.18183 | + | 0.789671i | −0.0427850 | + | 0.0285880i | ||||
\(764\) | 6.58523 | − | 37.3460i | 0.238245 | − | 1.35113i | ||||
\(765\) | 4.36350 | + | 23.4954i | 0.157763 | + | 0.849479i | ||||
\(766\) | −11.5404 | + | 9.68355i | −0.416973 | + | 0.349881i | ||||
\(767\) | −7.45447 | + | 7.45447i | −0.269165 | + | 0.269165i | ||||
\(768\) | −15.0874 | − | 8.27748i | −0.544419 | − | 0.298688i | ||||
\(769\) | 1.03027i | 0.0371526i | 0.999827 | + | 0.0185763i | \(0.00591336\pi\) | ||||
−0.999827 | + | 0.0185763i | \(0.994087\pi\) | |||||||
\(770\) | −0.568843 | + | 0.465110i | −0.0204997 | + | 0.0167614i | ||||
\(771\) | −18.5749 | − | 12.4114i | −0.668960 | − | 0.446985i | ||||
\(772\) | −28.8654 | + | 20.2116i | −1.03889 | + | 0.727432i | ||||
\(773\) | −16.2461 | − | 24.3141i | −0.584333 | − | 0.874517i | 0.415044 | − | 0.909801i | \(-0.363766\pi\) |
−0.999377 | + | 0.0352847i | \(0.988766\pi\) | |||||||
\(774\) | 19.4045 | − | 2.12510i | 0.697479 | − | 0.0763853i | ||||
\(775\) | 16.1844 | + | 7.19157i | 0.581360 | + | 0.258329i | ||||
\(776\) | 17.6512 | + | 30.5732i | 0.633642 | + | 1.09751i | ||||
\(777\) | 0.266962 | − | 0.644502i | 0.00957719 | − | 0.0231214i | ||||
\(778\) | 4.36899 | − | 14.9892i | 0.156636 | − | 0.537390i | ||||
\(779\) | −44.1230 | + | 29.4821i | −1.58087 | + | 1.05630i | ||||
\(780\) | 10.6652 | − | 10.8609i | 0.381875 | − | 0.388881i | ||||
\(781\) | −0.781418 | − | 3.92845i | −0.0279613 | − | 0.140571i | ||||
\(782\) | −22.8817 | + | 43.9552i | −0.818248 | + | 1.57183i | ||||
\(783\) | 4.98012i | 0.177975i | ||||||||
\(784\) | 25.1120 | − | 11.7097i | 0.896858 | − | 0.418205i | ||||
\(785\) | −26.9982 | − | 0.343554i | −0.963608 | − | 0.0122620i | ||||
\(786\) | −9.56803 | + | 18.3799i | −0.341280 | + | 0.655591i | ||||
\(787\) | −18.2559 | + | 27.3218i | −0.650751 | + | 0.973917i | 0.348578 | + | 0.937280i | \(0.386665\pi\) |
−0.999329 | + | 0.0366376i | \(0.988335\pi\) | |||||||
\(788\) | −10.5573 | + | 4.64527i | −0.376087 | + | 0.165481i | ||||
\(789\) | −23.2713 | + | 15.5494i | −0.828479 | + | 0.553572i | ||||
\(790\) | −6.97276 | − | 13.1023i | −0.248080 | − | 0.466160i | ||||
\(791\) | 0.566892 | + | 1.36860i | 0.0201564 | + | 0.0486618i | ||||
\(792\) | 3.37072 | − | 2.95601i | 0.119773 | − | 0.105037i | ||||
\(793\) | 29.6147 | − | 12.2668i | 1.05165 | − | 0.435607i | ||||
\(794\) | 17.3264 | + | 13.9059i | 0.614891 | + | 0.493504i | ||||
\(795\) | 23.7011 | + | 5.02877i | 0.840591 | + | 0.178352i | ||||
\(796\) | −11.0766 | + | 17.3866i | −0.392598 | + | 0.616251i | ||||
\(797\) | 4.61730 | + | 23.2127i | 0.163553 | + | 0.822237i | 0.972238 | + | 0.233995i | \(0.0751798\pi\) |
−0.808685 | + | 0.588242i | \(0.799820\pi\) | |||||||
\(798\) | 2.21846 | − | 1.86150i | 0.0785325 | − | 0.0658964i | ||||
\(799\) | − | 57.3285i | − | 2.02814i | ||||||
\(800\) | 21.3330 | − | 18.5716i | 0.754235 | − | 0.656605i | ||||
\(801\) | − | 17.7222i | − | 0.626184i | ||||||
\(802\) | 5.76290 | + | 6.86798i | 0.203495 | + | 0.242517i | ||||
\(803\) | 1.42498 | + | 7.16386i | 0.0502865 | + | 0.252807i | ||||
\(804\) | −0.773543 | − | 3.48928i | −0.0272807 | − | 0.123057i | ||||
\(805\) | 3.57169 | + | 0.757821i | 0.125885 | + | 0.0267097i | ||||
\(806\) | −9.92227 | + | 12.3628i | −0.349497 | + | 0.435463i | ||||
\(807\) | 23.5733 | − | 9.76440i | 0.829821 | − | 0.343723i | ||||
\(808\) | 19.4334 | − | 39.4065i | 0.683663 | − | 1.38631i | ||||
\(809\) | −3.60785 | − | 8.71011i | −0.126845 | − | 0.306231i | 0.847681 | − | 0.530507i | \(-0.177998\pi\) |
−0.974526 | + | 0.224276i | \(0.927998\pi\) | |||||||
\(810\) | 0.204220 | − | 0.108681i | 0.00717555 | − | 0.00381866i | ||||
\(811\) | −31.9261 | + | 21.3323i | −1.12108 | + | 0.749079i | −0.970877 | − | 0.239577i | \(-0.922991\pi\) |
−0.150199 | + | 0.988656i | \(0.547991\pi\) | |||||||
\(812\) | 0.481508 | + | 0.187250i | 0.0168976 | + | 0.00657119i | ||||
\(813\) | 3.67280 | − | 5.49674i | 0.128811 | − | 0.192779i | ||||
\(814\) | 2.58955 | + | 1.34804i | 0.0907637 | + | 0.0472488i | ||||
\(815\) | 32.1747 | + | 0.409425i | 1.12703 | + | 0.0143415i | ||||
\(816\) | 24.6549 | + | 3.79491i | 0.863093 | + | 0.132848i | ||||
\(817\) | 52.7690i | 1.84615i | ||||||||
\(818\) | −31.7346 | − | 16.5200i | −1.10957 | − | 0.577610i | ||||
\(819\) | 0.307468 | + | 1.54575i | 0.0107438 | + | 0.0540128i | ||||
\(820\) | 0.306106 | + | 33.6779i | 0.0106897 | + | 1.17608i | ||||
\(821\) | 18.3128 | − | 12.2362i | 0.639121 | − | 0.427047i | −0.193339 | − | 0.981132i | \(-0.561932\pi\) |
0.832460 | + | 0.554085i | \(0.186932\pi\) | |||||||
\(822\) | 3.75086 | + | 1.09328i | 0.130826 | + | 0.0381326i | ||||
\(823\) | 7.25079 | − | 17.5049i | 0.252747 | − | 0.610184i | −0.745677 | − | 0.666307i | \(-0.767874\pi\) |
0.998424 | + | 0.0561231i | \(0.0178739\pi\) | |||||||
\(824\) | −38.1231 | + | 5.01881i | −1.32808 | + | 0.174838i | ||||
\(825\) | −1.66051 | − | 4.31634i | −0.0578115 | − | 0.150276i | ||||
\(826\) | 0.138578 | + | 1.26537i | 0.00482175 | + | 0.0440277i | ||||
\(827\) | −2.19613 | − | 3.28673i | −0.0763668 | − | 0.114291i | 0.791320 | − | 0.611402i | \(-0.209394\pi\) |
−0.867687 | + | 0.497111i | \(0.834394\pi\) | |||||||
\(828\) | −21.9392 | − | 3.86855i | −0.762440 | − | 0.134441i | ||||
\(829\) | 45.1060 | + | 30.1389i | 1.56660 | + | 1.04677i | 0.969653 | + | 0.244484i | \(0.0786187\pi\) |
0.596944 | + | 0.802283i | \(0.296381\pi\) | |||||||
\(830\) | 14.2647 | + | 17.4462i | 0.495135 | + | 0.605565i | ||||
\(831\) | 3.40387i | 0.118079i | ||||||||
\(832\) | 11.1971 | + | 22.7061i | 0.388190 | + | 0.787192i | ||||
\(833\) | −28.4004 | + | 28.4004i | −0.984014 | + | 0.984014i | ||||
\(834\) | −19.9013 | − | 23.7175i | −0.689124 | − | 0.821269i | ||||
\(835\) | −1.32102 | − | 7.11305i | −0.0457156 | − | 0.246157i | ||||
\(836\) | 6.95141 | + | 9.92771i | 0.240419 | + | 0.343357i | ||||
\(837\) | −15.3414 | + | 10.2508i | −0.530276 | + | 0.354319i | ||||
\(838\) | 12.1889 | − | 15.1870i | 0.421057 | − | 0.524625i | ||||
\(839\) | −3.55254 | + | 8.57660i | −0.122647 | + | 0.296097i | −0.973264 | − | 0.229689i | \(-0.926229\pi\) |
0.850617 | + | 0.525787i | \(0.176229\pi\) | |||||||
\(840\) | −0.216690 | − | 1.82516i | −0.00747651 | − | 0.0629741i | ||||
\(841\) | 10.7480 | + | 25.9481i | 0.370622 | + | 0.894761i | ||||
\(842\) | −2.37333 | + | 8.14249i | −0.0817905 | + | 0.280609i | ||||
\(843\) | 23.6850 | + | 4.71123i | 0.815753 | + | 0.162263i | ||||
\(844\) | 0.0520212 | + | 2.38445i | 0.00179064 | + | 0.0820763i | ||||
\(845\) | 6.56307 | − | 1.21888i | 0.225776 | − | 0.0419306i | ||||
\(846\) | 24.5798 | − | 7.74994i | 0.845071 | − | 0.266448i | ||||
\(847\) | 2.77233 | 0.0952583 | ||||||||
\(848\) | −20.9052 | + | 34.4502i | −0.717888 | + | 1.18303i | ||||
\(849\) | −11.3551 | − | 11.3551i | −0.389708 | − | 0.389708i | ||||
\(850\) | −19.8508 | + | 35.8735i | −0.680877 | + | 1.23045i | ||||
\(851\) | −2.83013 | − | 14.2280i | −0.0970156 | − | 0.487730i | ||||
\(852\) | 9.33785 | + | 3.63133i | 0.319910 | + | 0.124407i | ||||
\(853\) | −48.9048 | − | 9.72777i | −1.67447 | − | 0.333073i | −0.735618 | − | 0.677396i | \(-0.763108\pi\) |
−0.938851 | + | 0.344324i | \(0.888108\pi\) | |||||||
\(854\) | 1.08308 | − | 3.71585i | 0.0370622 | − | 0.127154i | ||||
\(855\) | −10.7715 | − | 26.9703i | −0.368378 | − | 0.922366i | ||||
\(856\) | −4.15371 | + | 8.42279i | −0.141971 | + | 0.287885i | ||||
\(857\) | −13.0049 | − | 31.3967i | −0.444240 | − | 1.07249i | −0.974446 | − | 0.224621i | \(-0.927886\pi\) |
0.530206 | − | 0.847869i | \(-0.322114\pi\) | |||||||
\(858\) | 4.11492 | − | 0.450650i | 0.140481 | − | 0.0153849i | ||||
\(859\) | −33.8208 | − | 6.72738i | −1.15395 | − | 0.229535i | −0.419215 | − | 0.907887i | \(-0.637695\pi\) |
−0.734737 | + | 0.678352i | \(0.762695\pi\) | |||||||
\(860\) | 28.0144 | + | 18.3525i | 0.955283 | + | 0.625816i | ||||
\(861\) | 1.81972 | + | 1.21590i | 0.0620161 | + | 0.0414378i | ||||
\(862\) | 17.3160 | − | 14.5298i | 0.589786 | − | 0.494887i | ||||
\(863\) | −32.5642 | + | 32.5642i | −1.10850 | + | 1.10850i | −0.115151 | + | 0.993348i | \(0.536735\pi\) |
−0.993348 | + | 0.115151i | \(0.963265\pi\) | |||||||
\(864\) | 4.48241 | + | 29.1243i | 0.152495 | + | 0.990828i | ||||
\(865\) | 5.15293 | + | 5.28576i | 0.175205 | + | 0.179721i | ||||
\(866\) | 4.07428 | − | 46.5684i | 0.138450 | − | 1.58246i | ||||
\(867\) | −17.5315 | + | 3.48723i | −0.595400 | + | 0.118433i | ||||
\(868\) | 0.414279 | + | 1.86872i | 0.0140615 | + | 0.0634285i | ||||
\(869\) | 0.787439 | − | 3.95872i | 0.0267120 | − | 0.134290i | ||||
\(870\) | −2.06742 | + | 2.50984i | −0.0700921 | + | 0.0850915i | ||||
\(871\) | −2.01210 | + | 4.85764i | −0.0681774 | + | 0.164595i | ||||
\(872\) | 14.8472 | + | 0.973208i | 0.502788 | + | 0.0329570i | ||||
\(873\) | 8.80381 | − | 21.2543i | 0.297964 | − | 0.719348i | ||||
\(874\) | 16.8521 | − | 57.8165i | 0.570030 | − | 1.95567i | ||||
\(875\) | 2.93818 | + | 0.701987i | 0.0993286 | + | 0.0237315i | ||||
\(876\) | −17.0284 | − | 6.62203i | −0.575335 | − | 0.223738i | ||||
\(877\) | 18.2898 | + | 12.2209i | 0.617603 | + | 0.412669i | 0.824635 | − | 0.565665i | \(-0.191380\pi\) |
−0.207032 | + | 0.978334i | \(0.566380\pi\) | |||||||
\(878\) | 2.88543 | − | 0.909767i | 0.0973785 | − | 0.0307031i | ||||
\(879\) | −12.5045 | + | 12.5045i | −0.421768 | + | 0.421768i | ||||
\(880\) | 7.68812 | − | 0.237657i | 0.259167 | − | 0.00801140i | ||||
\(881\) | −30.4491 | − | 30.4491i | −1.02586 | − | 1.02586i | −0.999657 | − | 0.0261999i | \(-0.991659\pi\) |
−0.0261999 | − | 0.999657i | \(-0.508341\pi\) | |||||||
\(882\) | −16.0161 | − | 8.33747i | −0.539289 | − | 0.280737i | ||||
\(883\) | 8.76445 | − | 13.1169i | 0.294947 | − | 0.441420i | −0.654168 | − | 0.756349i | \(-0.726981\pi\) |
0.949115 | + | 0.314930i | \(0.101981\pi\) | |||||||
\(884\) | −26.5093 | − | 25.3773i | −0.891604 | − | 0.853531i | ||||
\(885\) | −7.83734 | − | 1.66288i | −0.263449 | − | 0.0558972i | ||||
\(886\) | −18.3220 | − | 33.3968i | −0.615541 | − | 1.12199i | ||||
\(887\) | −9.28350 | − | 3.84535i | −0.311709 | − | 0.129114i | 0.221344 | − | 0.975196i | \(-0.428956\pi\) |
−0.533054 | + | 0.846081i | \(0.678956\pi\) | |||||||
\(888\) | −6.32424 | + | 3.65126i | −0.212227 | + | 0.122528i | ||||
\(889\) | 1.39770 | + | 0.578946i | 0.0468773 | + | 0.0194172i | ||||
\(890\) | 19.3317 | − | 23.4686i | 0.647999 | − | 0.786669i | ||||
\(891\) | 0.0617027 | + | 0.0122734i | 0.00206712 | + | 0.000411175i | ||||
\(892\) | 41.6118 | − | 29.1367i | 1.39326 | − | 0.975568i | ||||
\(893\) | 13.5920 | + | 68.3315i | 0.454838 | + | 2.28663i | ||||
\(894\) | 3.64228 | + | 4.34072i | 0.121816 | + | 0.145175i | ||||
\(895\) | −6.15408 | − | 0.0783111i | −0.205708 | − | 0.00261765i | ||||
\(896\) | 2.98444 | + | 0.661671i | 0.0997032 | + | 0.0221049i | ||||
\(897\) | −14.5449 | − | 14.5449i | −0.485639 | − | 0.485639i | ||||
\(898\) | −6.62486 | − | 0.579611i | −0.221074 | − | 0.0193419i | ||||
\(899\) | 1.88135 | − | 2.81564i | 0.0627466 | − | 0.0939069i | ||||
\(900\) | −18.0644 | − | 3.66156i | −0.602148 | − | 0.122052i | ||||
\(901\) | 11.3957 | − | 57.2902i | 0.379647 | − | 1.90861i | ||||
\(902\) | −5.73282 | + | 7.14292i | −0.190882 | + | 0.237833i | ||||
\(903\) | 2.01064 | − | 0.832835i | 0.0669100 | − | 0.0277150i | ||||
\(904\) | 4.01358 | − | 14.9786i | 0.133490 | − | 0.498181i | ||||
\(905\) | −14.0852 | − | 35.2674i | −0.468208 | − | 1.17233i | ||||
\(906\) | 12.5877 | − | 6.90584i | 0.418200 | − | 0.229431i | ||||
\(907\) | −0.669542 | + | 3.36601i | −0.0222318 | + | 0.111767i | −0.990308 | − | 0.138890i | \(-0.955647\pi\) |
0.968076 | + | 0.250657i | \(0.0806465\pi\) | |||||||
\(908\) | 21.2464 | − | 0.463527i | 0.705085 | − | 0.0153827i | ||||
\(909\) | −28.0824 | + | 5.58594i | −0.931434 | + | 0.185274i | ||||
\(910\) | −1.27896 | + | 2.38234i | −0.0423972 | + | 0.0789739i | ||||
\(911\) | −26.4137 | + | 26.4137i | −0.875125 | + | 0.875125i | −0.993025 | − | 0.117900i | \(-0.962384\pi\) |
0.117900 | + | 0.993025i | \(0.462384\pi\) | |||||||
\(912\) | −30.2866 | + | 1.32214i | −1.00289 | + | 0.0437805i | ||||
\(913\) | 6.12845i | 0.202822i | ||||||||
\(914\) | 12.6729 | + | 6.59712i | 0.419182 | + | 0.218213i | ||||
\(915\) | 20.0814 | + | 13.7907i | 0.663869 | + | 0.455908i | ||||
\(916\) | 8.68087 | − | 22.3226i | 0.286824 | − | 0.737559i | ||||
\(917\) | 0.718093 | − | 3.61010i | 0.0237135 | − | 0.119216i | ||||
\(918\) | −20.5450 | − | 37.4488i | −0.678086 | − | 1.23599i | ||||
\(919\) | −44.7081 | + | 18.5187i | −1.47478 | + | 0.610876i | −0.967944 | − | 0.251164i | \(-0.919187\pi\) |
−0.506840 | + | 0.862040i | \(0.669187\pi\) | |||||||
\(920\) | −24.8331 | − | 29.0545i | −0.818722 | − | 0.957900i | ||||
\(921\) | 16.4990 | + | 6.83411i | 0.543661 | + | 0.225192i | ||||
\(922\) | 4.55847 | − | 0.499226i | 0.150125 | − | 0.0164411i | ||||
\(923\) | −8.18886 | − | 12.2555i | −0.269540 | − | 0.403394i | ||||
\(924\) | 0.268561 | − | 0.421553i | 0.00883500 | − | 0.0138681i | ||||
\(925\) | −2.04125 | − | 11.8275i | −0.0671159 | − | 0.388887i | ||||
\(926\) | 50.1012 | + | 4.38337i | 1.64643 | + | 0.144046i | ||||
\(927\) | 17.7185 | + | 17.7185i | 0.581951 | + | 0.581951i | ||||
\(928\) | −2.80558 | − | 4.62354i | −0.0920978 | − | 0.151775i | ||||
\(929\) | −8.04187 | −0.263845 | −0.131923 | − | 0.991260i | \(-0.542115\pi\) | ||||
−0.131923 | + | 0.991260i | \(0.542115\pi\) | |||||||
\(930\) | −11.9871 | − | 1.20263i | −0.393071 | − | 0.0394357i | ||||
\(931\) | 27.1178 | − | 40.5847i | 0.888750 | − | 1.33011i | ||||
\(932\) | −11.5847 | + | 18.1842i | −0.379469 | + | 0.595643i | ||||
\(933\) | 20.4153 | − | 13.6411i | 0.668367 | − | 0.446588i | ||||
\(934\) | −35.7978 | − | 28.7309i | −1.17134 | − | 0.940103i | ||||
\(935\) | −10.3544 | + | 4.13538i | −0.338625 | + | 0.135241i | ||||
\(936\) | 7.29696 | − | 14.7966i | 0.238509 | − | 0.483642i | ||||
\(937\) | −33.4911 | − | 13.8725i | −1.09411 | − | 0.453194i | −0.238671 | − | 0.971101i | \(-0.576712\pi\) |
−0.855437 | + | 0.517906i | \(0.826712\pi\) | |||||||
\(938\) | 0.305364 | + | 0.556607i | 0.00997047 | + | 0.0181738i | ||||
\(939\) | −19.9689 | − | 29.8855i | −0.651660 | − | 0.975278i | ||||
\(940\) | 41.0035 | + | 16.5492i | 1.33739 | + | 0.539776i | ||||
\(941\) | −12.5506 | + | 2.49647i | −0.409137 | + | 0.0813825i | −0.395368 | − | 0.918523i | \(-0.629383\pi\) |
−0.0137691 | + | 0.999905i | \(0.504383\pi\) | |||||||
\(942\) | 17.5167 | − | 5.52298i | 0.570726 | − | 0.179948i | ||||
\(943\) | 45.5115 | 1.48206 | ||||||||
\(944\) | 6.91281 | − | 11.3918i | 0.224993 | − | 0.370771i | ||||
\(945\) | −2.25355 | + | 2.19692i | −0.0733081 | + | 0.0714658i | ||||
\(946\) | 2.73871 | + | 8.68612i | 0.0890431 | + | 0.282410i | ||||
\(947\) | −7.03496 | − | 4.70061i | −0.228606 | − | 0.152749i | 0.435993 | − | 0.899950i | \(-0.356397\pi\) |
−0.664598 | + | 0.747201i | \(0.731397\pi\) | |||||||
\(948\) | 7.29316 | + | 6.98173i | 0.236871 | + | 0.226756i | ||||
\(949\) | 14.9331 | + | 22.3489i | 0.484748 | + | 0.725476i | ||||
\(950\) | 15.1555 | − | 47.4651i | 0.491710 | − | 1.53997i | ||||
\(951\) | −11.8200 | + | 4.89600i | −0.383290 | + | 0.158764i | ||||
\(952\) | −4.39325 | + | 0.578360i | −0.142386 | + | 0.0187448i | ||||
\(953\) | 5.12570 | + | 12.3745i | 0.166038 | + | 0.400850i | 0.984896 | − | 0.173145i | \(-0.0553929\pi\) |
−0.818859 | + | 0.573995i | \(0.805393\pi\) | |||||||
\(954\) | 26.1039 | − | 2.85880i | 0.845146 | − | 0.0925571i | ||||
\(955\) | −41.4750 | − | 8.79993i | −1.34210 | − | 0.284759i | ||||
\(956\) | 29.4792 | − | 20.6414i | 0.953425 | − | 0.667591i | ||||
\(957\) | −0.867294 | + | 0.172516i | −0.0280356 | + | 0.00557664i | ||||
\(958\) | 10.5248 | + | 0.920816i | 0.340040 | + | 0.0297502i | ||||
\(959\) | −0.694011 | −0.0224108 | ||||||||
\(960\) | −9.83146 | + | 16.5386i | −0.317309 | + | 0.533781i | ||||
\(961\) | −18.4539 | −0.595287 | ||||||||
\(962\) | 10.7023 | + | 0.936347i | 0.345056 | + | 0.0301890i | ||||
\(963\) | 6.00236 | − | 1.19394i | 0.193424 | − | 0.0384743i | ||||
\(964\) | 18.8901 | + | 26.9780i | 0.608408 | + | 0.868903i | ||||
\(965\) | 21.4694 | + | 33.0335i | 0.691124 | + | 1.06339i | ||||
\(966\) | −2.46893 | + | 0.270388i | −0.0794366 | + | 0.00869960i | ||||
\(967\) | 7.41891 | + | 17.9108i | 0.238576 | + | 0.575974i | 0.997136 | − | 0.0756296i | \(-0.0240967\pi\) |
−0.758560 | + | 0.651603i | \(0.774097\pi\) | |||||||
\(968\) | −23.0238 | − | 17.6669i | −0.740012 | − | 0.567837i | ||||
\(969\) | 40.5988 | − | 16.8166i | 1.30422 | − | 0.540226i | ||||
\(970\) | 34.8429 | − | 18.5426i | 1.11874 | − | 0.595366i | ||||
\(971\) | −8.59387 | − | 12.8616i | −0.275790 | − | 0.412749i | 0.667556 | − | 0.744560i | \(-0.267341\pi\) |
−0.943346 | + | 0.331810i | \(0.892341\pi\) | |||||||
\(972\) | 21.5043 | − | 22.4635i | 0.689750 | − | 0.720517i | ||||
\(973\) | 4.57288 | + | 3.05550i | 0.146600 | + | 0.0979549i | ||||
\(974\) | 8.10534 | + | 25.7070i | 0.259712 | + | 0.823705i | ||||
\(975\) | −11.7238 | − | 12.3362i | −0.375463 | − | 0.395076i | ||||
\(976\) | −32.6745 | + | 23.9576i | −1.04589 | + | 0.766864i | ||||
\(977\) | 44.8881 | 1.43610 | 0.718048 | − | 0.695994i | \(-0.245036\pi\) | ||||
0.718048 | + | 0.695994i | \(0.245036\pi\) | |||||||
\(978\) | −20.8753 | + | 6.58192i | −0.667519 | + | 0.210467i | ||||
\(979\) | 8.10975 | − | 1.61313i | 0.259189 | − | 0.0515558i | ||||
\(980\) | −12.1146 | − | 28.5114i | −0.386986 | − | 0.910764i | ||||
\(981\) | −5.38686 | − | 8.06201i | −0.171989 | − | 0.257400i | ||||
\(982\) | 7.51312 | + | 13.6947i | 0.239753 | + | 0.437014i | ||||
\(983\) | 12.8792 | + | 5.33475i | 0.410783 | + | 0.170152i | 0.578499 | − | 0.815683i | \(-0.303639\pi\) |
−0.167715 | + | 0.985836i | \(0.553639\pi\) | |||||||
\(984\) | −7.36410 | − | 21.6943i | −0.234759 | − | 0.691588i | ||||
\(985\) | 4.78289 | + | 11.9757i | 0.152395 | + | 0.381577i | ||||
\(986\) | 6.11386 | + | 4.90691i | 0.194705 | + | 0.156268i | ||||
\(987\) | 2.38910 | − | 1.59634i | 0.0760458 | − | 0.0508122i | ||||
\(988\) | 37.6139 | + | 23.9629i | 1.19666 | + | 0.762360i | ||||
\(989\) | 25.1432 | − | 37.6294i | 0.799506 | − | 1.19654i | ||||
\(990\) | −3.17282 | − | 3.88045i | −0.100839 | − | 0.123329i | ||||
\(991\) | −21.7484 | −0.690861 | −0.345431 | − | 0.938444i | \(-0.612267\pi\) | ||||
−0.345431 | + | 0.938444i | \(0.612267\pi\) | |||||||
\(992\) | 8.46809 | − | 18.1595i | 0.268862 | − | 0.576564i | ||||
\(993\) | −16.0763 | − | 16.0763i | −0.510166 | − | 0.510166i | ||||
\(994\) | −1.77297 | − | 0.155118i | −0.0562353 | − | 0.00492004i | ||||
\(995\) | 18.9996 | + | 13.0478i | 0.602327 | + | 0.413644i | ||||
\(996\) | −12.9288 | − | 8.23663i | −0.409666 | − | 0.260988i | ||||
\(997\) | −30.0740 | − | 45.0089i | −0.952453 | − | 1.42545i | −0.904441 | − | 0.426599i | \(-0.859711\pi\) |
−0.0480120 | − | 0.998847i | \(-0.515289\pi\) | |||||||
\(998\) | −46.9617 | + | 5.14306i | −1.48655 | + | 0.162801i | ||||
\(999\) | 11.5525 | + | 4.78521i | 0.365506 | + | 0.151397i |
(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 | 320.2.bj.a.27.23 | yes | 368 | |
5.3 | odd | 4 | 320.2.bd.a.283.45 | yes | 368 | ||
64.19 | odd | 16 | 320.2.bd.a.147.45 | ✓ | 368 | ||
320.83 | even | 16 | inner | 320.2.bj.a.83.23 | yes | 368 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
320.2.bd.a.147.45 | ✓ | 368 | 64.19 | odd | 16 | ||
320.2.bd.a.283.45 | yes | 368 | 5.3 | odd | 4 | ||
320.2.bj.a.27.23 | yes | 368 | 1.1 | even | 1 | trivial | |
320.2.bj.a.83.23 | yes | 368 | 320.83 | even | 16 | inner |