Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [300,2,Mod(11,300)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(300, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 5, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("300.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 300 = 2^{2} \cdot 3 \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 300.n (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.39551206064\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 191.14 | ||
Character | \(\chi\) | \(=\) | 300.191 |
Dual form | 300.2.n.a.11.14 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/300\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(151\) | \(277\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{1}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.01770 | − | 0.981981i | −0.719623 | − | 0.694365i | ||||
\(3\) | −1.62298 | + | 0.604914i | −0.937031 | + | 0.349247i | ||||
\(4\) | 0.0714277 | + | 1.99872i | 0.0357138 | + | 0.999362i | ||||
\(5\) | −0.345709 | − | 2.20918i | −0.154606 | − | 0.987976i | ||||
\(6\) | 2.24573 | + | 0.978119i | 0.916814 | + | 0.399315i | ||||
\(7\) | − | 0.309856i | − | 0.117114i | −0.998284 | − | 0.0585572i | \(-0.981350\pi\) | ||
0.998284 | − | 0.0585572i | \(-0.0186500\pi\) | |||||||
\(8\) | 1.89002 | − | 2.10424i | 0.668222 | − | 0.743962i | ||||
\(9\) | 2.26816 | − | 1.96353i | 0.756053 | − | 0.654510i | ||||
\(10\) | −1.81755 | + | 2.58776i | −0.574758 | + | 0.818323i | ||||
\(11\) | 1.53656 | + | 1.11637i | 0.463290 | + | 0.336600i | 0.794820 | − | 0.606845i | \(-0.207565\pi\) |
−0.331531 | + | 0.943444i | \(0.607565\pi\) | |||||||
\(12\) | −1.32498 | − | 3.20069i | −0.382489 | − | 0.923960i | ||||
\(13\) | −3.79520 | + | 2.75737i | −1.05260 | + | 0.764758i | −0.972705 | − | 0.232045i | \(-0.925458\pi\) |
−0.0798941 | + | 0.996803i | \(0.525458\pi\) | |||||||
\(14\) | −0.304272 | + | 0.315340i | −0.0813202 | + | 0.0842783i | ||||
\(15\) | 1.89744 | + | 3.37634i | 0.489918 | + | 0.871768i | ||||
\(16\) | −3.98980 | + | 0.285528i | −0.997449 | + | 0.0713821i | ||||
\(17\) | −4.30413 | − | 1.39850i | −1.04391 | − | 0.339185i | −0.263631 | − | 0.964623i | \(-0.584920\pi\) |
−0.780274 | + | 0.625438i | \(0.784920\pi\) | |||||||
\(18\) | −4.23646 | − | 0.229003i | −0.998542 | − | 0.0539765i | ||||
\(19\) | −5.24788 | − | 1.70514i | −1.20395 | − | 0.391186i | −0.362735 | − | 0.931892i | \(-0.618157\pi\) |
−0.841212 | + | 0.540706i | \(0.818157\pi\) | |||||||
\(20\) | 4.39085 | − | 0.848774i | 0.981824 | − | 0.189792i | ||||
\(21\) | 0.187436 | + | 0.502891i | 0.0409019 | + | 0.109740i | ||||
\(22\) | −0.467497 | − | 2.64500i | −0.0996707 | − | 0.563917i | ||||
\(23\) | −5.20321 | − | 3.78035i | −1.08494 | − | 0.788257i | −0.106405 | − | 0.994323i | \(-0.533934\pi\) |
−0.978538 | + | 0.206065i | \(0.933934\pi\) | |||||||
\(24\) | −1.79458 | + | 4.55845i | −0.366318 | + | 0.930490i | ||||
\(25\) | −4.76097 | + | 1.52747i | −0.952194 | + | 0.305494i | ||||
\(26\) | 6.57006 | + | 0.920633i | 1.28850 | + | 0.180551i | ||||
\(27\) | −2.49342 | + | 4.55882i | −0.479859 | + | 0.877345i | ||||
\(28\) | 0.619316 | − | 0.0221323i | 0.117040 | − | 0.00418261i | ||||
\(29\) | −6.49757 | + | 2.11119i | −1.20657 | + | 0.392038i | −0.842173 | − | 0.539207i | \(-0.818724\pi\) |
−0.364395 | + | 0.931245i | \(0.618724\pi\) | |||||||
\(30\) | 1.38448 | − | 5.29936i | 0.252769 | − | 0.967527i | ||||
\(31\) | 5.73466 | + | 1.86330i | 1.02997 | + | 0.334659i | 0.774780 | − | 0.632231i | \(-0.217860\pi\) |
0.255195 | + | 0.966890i | \(0.417860\pi\) | |||||||
\(32\) | 4.34080 | + | 3.62732i | 0.767352 | + | 0.641226i | ||||
\(33\) | −3.16912 | − | 0.882374i | −0.551673 | − | 0.153602i | ||||
\(34\) | 3.00702 | + | 5.64982i | 0.515699 | + | 0.968937i | ||||
\(35\) | −0.684528 | + | 0.107120i | −0.115706 | + | 0.0181066i | ||||
\(36\) | 4.08657 | + | 4.39317i | 0.681094 | + | 0.732196i | ||||
\(37\) | 3.24583 | − | 2.35823i | 0.533611 | − | 0.387691i | −0.288096 | − | 0.957602i | \(-0.593022\pi\) |
0.821707 | + | 0.569911i | \(0.193022\pi\) | |||||||
\(38\) | 3.66636 | + | 6.88864i | 0.594762 | + | 1.11749i | ||||
\(39\) | 4.49158 | − | 6.77094i | 0.719228 | − | 1.08422i | ||||
\(40\) | −5.30205 | − | 3.44793i | −0.838328 | − | 0.545166i | ||||
\(41\) | −0.902077 | − | 1.24160i | −0.140881 | − | 0.193906i | 0.732746 | − | 0.680502i | \(-0.238238\pi\) |
−0.873627 | + | 0.486596i | \(0.838238\pi\) | |||||||
\(42\) | 0.303076 | − | 0.695851i | 0.0467656 | − | 0.107372i | ||||
\(43\) | 3.75970i | 0.573349i | 0.958028 | + | 0.286674i | \(0.0925498\pi\) | ||||
−0.958028 | + | 0.286674i | \(0.907450\pi\) | |||||||
\(44\) | −2.12157 | + | 3.15090i | −0.319839 | + | 0.475015i | ||||
\(45\) | −5.12192 | − | 4.33197i | −0.763531 | − | 0.645771i | ||||
\(46\) | 1.58307 | + | 8.95671i | 0.233411 | + | 1.32059i | ||||
\(47\) | −2.19448 | − | 6.75392i | −0.320098 | − | 0.985161i | −0.973605 | − | 0.228240i | \(-0.926703\pi\) |
0.653507 | − | 0.756921i | \(-0.273297\pi\) | |||||||
\(48\) | 6.30266 | − | 2.87689i | 0.909710 | − | 0.415243i | ||||
\(49\) | 6.90399 | 0.986284 | ||||||||
\(50\) | 6.34519 | + | 3.12068i | 0.897345 | + | 0.441330i | ||||
\(51\) | 7.83151 | − | 0.333888i | 1.09663 | − | 0.0467536i | ||||
\(52\) | −5.78231 | − | 7.38860i | −0.801862 | − | 1.02462i | ||||
\(53\) | 0.721525 | − | 0.234438i | 0.0991091 | − | 0.0322025i | −0.259043 | − | 0.965866i | \(-0.583407\pi\) |
0.358152 | + | 0.933663i | \(0.383407\pi\) | |||||||
\(54\) | 7.01423 | − | 2.19102i | 0.954516 | − | 0.298160i | ||||
\(55\) | 1.93507 | − | 3.78048i | 0.260925 | − | 0.509759i | ||||
\(56\) | −0.652012 | − | 0.585633i | −0.0871287 | − | 0.0782585i | ||||
\(57\) | 9.54870 | − | 0.407098i | 1.26476 | − | 0.0539215i | ||||
\(58\) | 8.68572 | + | 4.23193i | 1.14049 | + | 0.555680i | ||||
\(59\) | −11.0576 | + | 8.03382i | −1.43958 | + | 1.04591i | −0.451447 | + | 0.892298i | \(0.649092\pi\) |
−0.988131 | + | 0.153617i | \(0.950908\pi\) | |||||||
\(60\) | −6.61285 | + | 4.03363i | −0.853715 | + | 0.520740i | ||||
\(61\) | −7.66779 | − | 5.57097i | −0.981760 | − | 0.713290i | −0.0236585 | − | 0.999720i | \(-0.507531\pi\) |
−0.958101 | + | 0.286430i | \(0.907531\pi\) | |||||||
\(62\) | −4.00643 | − | 7.52761i | −0.508818 | − | 0.956007i | ||||
\(63\) | −0.608411 | − | 0.702802i | −0.0766526 | − | 0.0885448i | ||||
\(64\) | −0.855674 | − | 7.95411i | −0.106959 | − | 0.994263i | ||||
\(65\) | 7.40358 | + | 7.43104i | 0.918301 | + | 0.921707i | ||||
\(66\) | 2.35874 | + | 4.01001i | 0.290341 | + | 0.493598i | ||||
\(67\) | 6.37132 | + | 2.07017i | 0.778380 | + | 0.252911i | 0.671149 | − | 0.741323i | \(-0.265801\pi\) |
0.107232 | + | 0.994234i | \(0.465801\pi\) | |||||||
\(68\) | 2.48778 | − | 8.70266i | 0.301687 | − | 1.05535i | ||||
\(69\) | 10.7315 | + | 2.98796i | 1.29192 | + | 0.359708i | ||||
\(70\) | 0.801834 | + | 0.563177i | 0.0958375 | + | 0.0673125i | ||||
\(71\) | −0.750346 | − | 2.30933i | −0.0890497 | − | 0.274067i | 0.896608 | − | 0.442826i | \(-0.146024\pi\) |
−0.985657 | + | 0.168759i | \(0.946024\pi\) | |||||||
\(72\) | 0.155113 | − | 8.48386i | 0.0182803 | − | 0.999833i | ||||
\(73\) | −7.60274 | − | 5.52372i | −0.889834 | − | 0.646502i | 0.0460010 | − | 0.998941i | \(-0.485352\pi\) |
−0.935835 | + | 0.352439i | \(0.885352\pi\) | |||||||
\(74\) | −5.61902 | − | 0.787367i | −0.653198 | − | 0.0915296i | ||||
\(75\) | 6.80300 | − | 5.35903i | 0.785542 | − | 0.618808i | ||||
\(76\) | 3.03326 | − | 10.6109i | 0.347939 | − | 1.21715i | ||||
\(77\) | 0.345915 | − | 0.476111i | 0.0394207 | − | 0.0542579i | ||||
\(78\) | −11.2200 | + | 2.48015i | −1.27042 | + | 0.280821i | ||||
\(79\) | −1.81171 | + | 0.588659i | −0.203833 | + | 0.0662293i | −0.409154 | − | 0.912465i | \(-0.634176\pi\) |
0.205321 | + | 0.978695i | \(0.434176\pi\) | |||||||
\(80\) | 2.01009 | + | 8.71548i | 0.224735 | + | 0.974420i | ||||
\(81\) | 1.28909 | − | 8.90720i | 0.143233 | − | 0.989689i | ||||
\(82\) | −0.301186 | + | 2.14940i | −0.0332604 | + | 0.237362i | ||||
\(83\) | 0.792743 | − | 2.43981i | 0.0870149 | − | 0.267804i | −0.898076 | − | 0.439841i | \(-0.855035\pi\) |
0.985091 | + | 0.172037i | \(0.0550348\pi\) | |||||||
\(84\) | −0.991753 | + | 0.410553i | −0.108209 | + | 0.0447950i | ||||
\(85\) | −1.60156 | + | 9.99208i | −0.173713 | + | 1.08379i | ||||
\(86\) | 3.69195 | − | 3.82625i | 0.398114 | − | 0.412595i | ||||
\(87\) | 9.26837 | − | 7.35689i | 0.993673 | − | 0.788741i | ||||
\(88\) | 5.25324 | − | 1.12332i | 0.559998 | − | 0.119747i | ||||
\(89\) | 5.28769 | − | 7.27788i | 0.560494 | − | 0.771454i | −0.430895 | − | 0.902402i | \(-0.641802\pi\) |
0.991389 | + | 0.130948i | \(0.0418021\pi\) | |||||||
\(90\) | 0.958673 | + | 9.43827i | 0.101053 | + | 0.994881i | ||||
\(91\) | 0.854388 | + | 1.17596i | 0.0895642 | + | 0.123275i | ||||
\(92\) | 7.18422 | − | 10.6698i | 0.749007 | − | 1.11240i | ||||
\(93\) | −10.4344 | + | 0.444859i | −1.08200 | + | 0.0461297i | ||||
\(94\) | −4.39890 | + | 9.02841i | −0.453711 | + | 0.931209i | ||||
\(95\) | −1.95272 | + | 12.1830i | −0.200345 | + | 1.24995i | ||||
\(96\) | −9.23927 | − | 3.26128i | −0.942979 | − | 0.332853i | ||||
\(97\) | 3.88035 | + | 11.9425i | 0.393990 | + | 1.21258i | 0.929745 | + | 0.368204i | \(0.120027\pi\) |
−0.535755 | + | 0.844374i | \(0.679973\pi\) | |||||||
\(98\) | −7.02619 | − | 6.77958i | −0.709753 | − | 0.684841i | ||||
\(99\) | 5.67719 | − | 0.484963i | 0.570579 | − | 0.0487406i | ||||
\(100\) | −3.39305 | − | 9.40676i | −0.339305 | − | 0.940676i | ||||
\(101\) | − | 8.75109i | − | 0.870766i | −0.900245 | − | 0.435383i | \(-0.856613\pi\) | ||
0.900245 | − | 0.435383i | \(-0.143387\pi\) | |||||||
\(102\) | −8.29800 | − | 7.35059i | −0.821625 | − | 0.727817i | ||||
\(103\) | −4.44126 | + | 1.44305i | −0.437610 | + | 0.142188i | −0.519533 | − | 0.854451i | \(-0.673894\pi\) |
0.0819226 | + | 0.996639i | \(0.473894\pi\) | |||||||
\(104\) | −1.37081 | + | 13.1975i | −0.134419 | + | 1.29412i | ||||
\(105\) | 1.04618 | − | 0.587934i | 0.102097 | − | 0.0573765i | ||||
\(106\) | −0.964509 | − | 0.469936i | −0.0936814 | − | 0.0456442i | ||||
\(107\) | 0.307528 | 0.0297299 | 0.0148649 | − | 0.999890i | \(-0.495268\pi\) | ||||
0.0148649 | + | 0.999890i | \(0.495268\pi\) | |||||||
\(108\) | −9.28992 | − | 4.65804i | −0.893923 | − | 0.448220i | ||||
\(109\) | 7.14020 | − | 5.18766i | 0.683908 | − | 0.496888i | −0.190744 | − | 0.981640i | \(-0.561090\pi\) |
0.874652 | + | 0.484752i | \(0.161090\pi\) | |||||||
\(110\) | −5.68168 | + | 1.94719i | −0.541727 | + | 0.185657i | ||||
\(111\) | −3.84140 | + | 5.79082i | −0.364610 | + | 0.549640i | ||||
\(112\) | 0.0884726 | + | 1.23626i | 0.00835988 | + | 0.116816i | ||||
\(113\) | 5.33456 | + | 7.34239i | 0.501833 | + | 0.690714i | 0.982516 | − | 0.186181i | \(-0.0596109\pi\) |
−0.480682 | + | 0.876895i | \(0.659611\pi\) | |||||||
\(114\) | −10.1175 | − | 8.96233i | −0.947588 | − | 0.839399i | ||||
\(115\) | −6.55269 | + | 12.8017i | −0.611041 | + | 1.19377i | ||||
\(116\) | −4.68379 | − | 12.8360i | −0.434879 | − | 1.19180i | ||||
\(117\) | −3.19393 | + | 13.7062i | −0.295279 | + | 1.26713i | ||||
\(118\) | 19.1424 | + | 2.68233i | 1.76220 | + | 0.246929i | ||||
\(119\) | −0.433332 | + | 1.33366i | −0.0397235 | + | 0.122256i | ||||
\(120\) | 10.6909 | + | 2.38866i | 0.975937 | + | 0.218054i | ||||
\(121\) | −2.28447 | − | 7.03087i | −0.207679 | − | 0.639170i | ||||
\(122\) | 2.33292 | + | 13.1992i | 0.211213 | + | 1.19500i | ||||
\(123\) | 2.21512 | + | 1.46942i | 0.199731 | + | 0.132493i | ||||
\(124\) | −3.31462 | + | 11.5951i | −0.297661 | + | 1.04127i | ||||
\(125\) | 5.02037 | + | 9.98979i | 0.449035 | + | 0.893514i | ||||
\(126\) | −0.0709579 | + | 1.31269i | −0.00632143 | + | 0.116944i | ||||
\(127\) | 8.06366 | − | 11.0987i | 0.715534 | − | 0.984848i | −0.284127 | − | 0.958787i | \(-0.591704\pi\) |
0.999660 | − | 0.0260609i | \(-0.00829639\pi\) | |||||||
\(128\) | −6.93996 | + | 8.93515i | −0.613412 | + | 0.789763i | ||||
\(129\) | −2.27429 | − | 6.10194i | −0.200240 | − | 0.537246i | ||||
\(130\) | −0.237486 | − | 14.8327i | −0.0208289 | − | 1.30092i | ||||
\(131\) | −0.458670 | + | 1.41164i | −0.0400742 | + | 0.123336i | −0.969092 | − | 0.246699i | \(-0.920654\pi\) |
0.929018 | + | 0.370035i | \(0.120654\pi\) | |||||||
\(132\) | 1.53726 | − | 6.39722i | 0.133801 | − | 0.556807i | ||||
\(133\) | −0.528348 | + | 1.62609i | −0.0458136 | + | 0.141000i | ||||
\(134\) | −4.45123 | − | 8.36332i | −0.384528 | − | 0.722481i | ||||
\(135\) | 10.9333 | + | 3.93240i | 0.940986 | + | 0.338447i | ||||
\(136\) | −11.0777 | + | 6.41375i | −0.949901 | + | 0.549975i | ||||
\(137\) | 10.6892 | + | 14.7124i | 0.913236 | + | 1.25696i | 0.966050 | + | 0.258357i | \(0.0831811\pi\) |
−0.0528136 | + | 0.998604i | \(0.516819\pi\) | |||||||
\(138\) | −7.98734 | − | 13.5790i | −0.679927 | − | 1.15592i | ||||
\(139\) | −6.52821 | + | 8.98531i | −0.553715 | + | 0.762124i | −0.990510 | − | 0.137437i | \(-0.956113\pi\) |
0.436795 | + | 0.899561i | \(0.356113\pi\) | |||||||
\(140\) | −0.262998 | − | 1.36053i | −0.0222274 | − | 0.114986i | ||||
\(141\) | 7.64715 | + | 9.63404i | 0.644006 | + | 0.811332i | ||||
\(142\) | −1.50409 | + | 3.08703i | −0.126220 | + | 0.259058i | ||||
\(143\) | −8.90981 | −0.745075 | ||||||||
\(144\) | −8.48885 | + | 8.48171i | −0.707404 | + | 0.706809i | ||||
\(145\) | 6.91027 | + | 13.6245i | 0.573866 | + | 1.13145i | ||||
\(146\) | 2.31313 | + | 13.0872i | 0.191436 | + | 1.08311i | ||||
\(147\) | −11.2051 | + | 4.17632i | −0.924179 | + | 0.344457i | ||||
\(148\) | 4.94530 | + | 6.31907i | 0.406501 | + | 0.519425i | ||||
\(149\) | 10.3539i | 0.848222i | 0.905610 | + | 0.424111i | \(0.139413\pi\) | ||||
−0.905610 | + | 0.424111i | \(0.860587\pi\) | |||||||
\(150\) | −12.1859 | − | 1.22652i | −0.994973 | − | 0.100145i | ||||
\(151\) | − | 19.3082i | − | 1.57128i | −0.618685 | − | 0.785639i | \(-0.712334\pi\) | ||
0.618685 | − | 0.785639i | \(-0.287666\pi\) | |||||||
\(152\) | −13.5066 | + | 7.82007i | −1.09553 | + | 0.634292i | ||||
\(153\) | −12.5084 | + | 5.27928i | −1.01125 | + | 0.426805i | ||||
\(154\) | −0.819570 | + | 0.144857i | −0.0660428 | + | 0.0116729i | ||||
\(155\) | 2.13385 | − | 13.3131i | 0.171395 | − | 1.06933i | ||||
\(156\) | 13.8541 | + | 8.49379i | 1.10921 | + | 0.680048i | ||||
\(157\) | 5.03933 | 0.402182 | 0.201091 | − | 0.979573i | \(-0.435551\pi\) | ||||
0.201091 | + | 0.979573i | \(0.435551\pi\) | |||||||
\(158\) | 2.42182 | + | 1.17998i | 0.192670 | + | 0.0938743i | ||||
\(159\) | −1.02921 | + | 0.816949i | −0.0816216 | + | 0.0647883i | ||||
\(160\) | 6.51276 | − | 10.8436i | 0.514879 | − | 0.857263i | ||||
\(161\) | −1.17136 | + | 1.61224i | −0.0923164 | + | 0.127063i | ||||
\(162\) | −10.0586 | + | 7.79900i | −0.790279 | + | 0.612747i | ||||
\(163\) | −6.18477 | − | 8.51261i | −0.484429 | − | 0.666759i | 0.494920 | − | 0.868939i | \(-0.335197\pi\) |
−0.979348 | + | 0.202180i | \(0.935197\pi\) | |||||||
\(164\) | 2.41719 | − | 1.89169i | 0.188751 | − | 0.147716i | ||||
\(165\) | −0.853732 | + | 7.30621i | −0.0664629 | + | 0.568788i | ||||
\(166\) | −3.20262 | + | 1.70454i | −0.248572 | + | 0.132298i | ||||
\(167\) | −1.55001 | + | 4.77044i | −0.119943 | + | 0.369148i | −0.992946 | − | 0.118568i | \(-0.962170\pi\) |
0.873003 | + | 0.487716i | \(0.162170\pi\) | |||||||
\(168\) | 1.41246 | + | 0.556062i | 0.108974 | + | 0.0429011i | ||||
\(169\) | 2.78321 | − | 8.56584i | 0.214093 | − | 0.658911i | ||||
\(170\) | 11.4419 | − | 8.59625i | 0.877557 | − | 0.659302i | ||||
\(171\) | −15.2511 | + | 6.43685i | −1.16628 | + | 0.492238i | ||||
\(172\) | −7.51460 | + | 0.268547i | −0.572983 | + | 0.0204765i | ||||
\(173\) | 7.28298 | − | 10.0242i | 0.553715 | − | 0.762123i | −0.436796 | − | 0.899561i | \(-0.643887\pi\) |
0.990510 | + | 0.137438i | \(0.0438868\pi\) | |||||||
\(174\) | −16.6567 | − | 1.61425i | −1.26274 | − | 0.122376i | ||||
\(175\) | 0.473295 | + | 1.47521i | 0.0357778 | + | 0.111516i | ||||
\(176\) | −6.44931 | − | 4.01538i | −0.486135 | − | 0.302670i | ||||
\(177\) | 13.0866 | − | 19.7277i | 0.983646 | − | 1.48282i | ||||
\(178\) | −12.5280 | + | 2.21429i | −0.939015 | + | 0.165968i | ||||
\(179\) | −6.67793 | − | 20.5526i | −0.499132 | − | 1.53617i | −0.810417 | − | 0.585854i | \(-0.800759\pi\) |
0.311285 | − | 0.950317i | \(-0.399241\pi\) | |||||||
\(180\) | 8.29256 | − | 10.5467i | 0.618091 | − | 0.786107i | ||||
\(181\) | 6.78493 | − | 20.8819i | 0.504320 | − | 1.55214i | −0.297592 | − | 0.954693i | \(-0.596183\pi\) |
0.801911 | − | 0.597443i | \(-0.203817\pi\) | |||||||
\(182\) | 0.285263 | − | 2.03577i | 0.0211451 | − | 0.150902i | ||||
\(183\) | 15.8147 | + | 4.40326i | 1.16905 | + | 0.325498i | ||||
\(184\) | −17.7889 | + | 3.80388i | −1.31142 | + | 0.280426i | ||||
\(185\) | −6.33188 | − | 6.35536i | −0.465529 | − | 0.467256i | ||||
\(186\) | 11.0559 | + | 9.79365i | 0.810660 | + | 0.718105i | ||||
\(187\) | −5.05230 | − | 6.95389i | −0.369461 | − | 0.508519i | ||||
\(188\) | 13.3425 | − | 4.86858i | 0.973100 | − | 0.355078i | ||||
\(189\) | 1.41258 | + | 0.772601i | 0.102750 | + | 0.0561985i | ||||
\(190\) | 13.9508 | − | 10.4811i | 1.01210 | − | 0.760380i | ||||
\(191\) | 4.26831 | − | 3.10111i | 0.308844 | − | 0.224389i | −0.422556 | − | 0.906337i | \(-0.638867\pi\) |
0.731400 | + | 0.681948i | \(0.238867\pi\) | |||||||
\(192\) | 6.20029 | + | 12.3918i | 0.447468 | + | 0.894300i | ||||
\(193\) | 2.61953 | 0.188558 | 0.0942788 | − | 0.995546i | \(-0.469945\pi\) | ||||
0.0942788 | + | 0.995546i | \(0.469945\pi\) | |||||||
\(194\) | 7.77827 | − | 15.9643i | 0.558447 | − | 1.14617i | ||||
\(195\) | −16.5110 | − | 7.58194i | −1.18238 | − | 0.542954i | ||||
\(196\) | 0.493136 | + | 13.7992i | 0.0352240 | + | 0.985655i | ||||
\(197\) | −21.8387 | + | 7.09582i | −1.55594 | + | 0.505556i | −0.955720 | − | 0.294277i | \(-0.904921\pi\) |
−0.600222 | + | 0.799834i | \(0.704921\pi\) | |||||||
\(198\) | −6.25391 | − | 5.08135i | −0.444446 | − | 0.361116i | ||||
\(199\) | 6.62396i | 0.469560i | 0.972049 | + | 0.234780i | \(0.0754370\pi\) | ||||
−0.972049 | + | 0.234780i | \(0.924563\pi\) | |||||||
\(200\) | −5.78415 | + | 12.9052i | −0.409001 | + | 0.912534i | ||||
\(201\) | −11.5928 | + | 0.494247i | −0.817695 | + | 0.0348615i | ||||
\(202\) | −8.59340 | + | 8.90599i | −0.604630 | + | 0.626623i | ||||
\(203\) | 0.654164 | + | 2.01331i | 0.0459133 | + | 0.141307i | ||||
\(204\) | 1.22674 | + | 15.6292i | 0.0858887 | + | 1.09426i | ||||
\(205\) | −2.43107 | + | 2.42209i | −0.169793 | + | 0.169166i | ||||
\(206\) | 5.93692 | + | 2.89264i | 0.413645 | + | 0.201539i | ||||
\(207\) | −19.2245 | + | 1.64222i | −1.33620 | + | 0.114142i | ||||
\(208\) | 14.3548 | − | 12.0850i | 0.995324 | − | 0.837944i | ||||
\(209\) | −6.16010 | − | 8.47865i | −0.426103 | − | 0.586480i | ||||
\(210\) | −1.64204 | − | 0.428988i | −0.113311 | − | 0.0296030i | ||||
\(211\) | −9.71127 | + | 13.3664i | −0.668551 | + | 0.920182i | −0.999726 | − | 0.0233873i | \(-0.992555\pi\) |
0.331175 | + | 0.943569i | \(0.392555\pi\) | |||||||
\(212\) | 0.520113 | + | 1.42538i | 0.0357215 | + | 0.0978958i | ||||
\(213\) | 2.61474 | + | 3.29411i | 0.179159 | + | 0.225709i | ||||
\(214\) | −0.312971 | − | 0.301987i | −0.0213943 | − | 0.0206434i | ||||
\(215\) | 8.30586 | − | 1.29976i | 0.566455 | − | 0.0886431i | ||||
\(216\) | 4.88026 | + | 13.8630i | 0.332059 | + | 0.943258i | ||||
\(217\) | 0.577355 | − | 1.77692i | 0.0391934 | − | 0.120625i | ||||
\(218\) | −12.3608 | − | 1.73206i | −0.837177 | − | 0.117310i | ||||
\(219\) | 15.6805 | + | 4.36590i | 1.05959 | + | 0.295020i | ||||
\(220\) | 7.69435 | + | 3.59765i | 0.518753 | + | 0.242553i | ||||
\(221\) | 20.1912 | − | 6.56052i | 1.35821 | − | 0.441309i | ||||
\(222\) | 9.59587 | − | 2.12114i | 0.644033 | − | 0.142361i | ||||
\(223\) | 12.0612 | − | 16.6009i | 0.807679 | − | 1.11168i | −0.183998 | − | 0.982927i | \(-0.558904\pi\) |
0.991677 | − | 0.128749i | \(-0.0410960\pi\) | |||||||
\(224\) | 1.12395 | − | 1.34502i | 0.0750968 | − | 0.0898681i | ||||
\(225\) | −7.79941 | + | 12.8129i | −0.519960 | + | 0.854190i | ||||
\(226\) | 1.78110 | − | 12.7108i | 0.118477 | − | 0.845509i | ||||
\(227\) | 9.87438 | + | 7.17416i | 0.655386 | + | 0.476166i | 0.865102 | − | 0.501597i | \(-0.167254\pi\) |
−0.209716 | + | 0.977762i | \(0.567254\pi\) | |||||||
\(228\) | 1.49572 | + | 19.0561i | 0.0990563 | + | 1.26202i | ||||
\(229\) | 0.971101 | + | 2.98874i | 0.0641721 | + | 0.197502i | 0.978002 | − | 0.208596i | \(-0.0668893\pi\) |
−0.913830 | + | 0.406097i | \(0.866889\pi\) | |||||||
\(230\) | 19.2397 | − | 6.59371i | 1.26863 | − | 0.434777i | ||||
\(231\) | −0.273409 | + | 0.981970i | −0.0179890 | + | 0.0646089i | ||||
\(232\) | −7.83806 | + | 17.6626i | −0.514594 | + | 1.15961i | ||||
\(233\) | 8.86597 | + | 2.88073i | 0.580829 | + | 0.188723i | 0.584672 | − | 0.811270i | \(-0.301223\pi\) |
−0.00384306 | + | 0.999993i | \(0.501223\pi\) | |||||||
\(234\) | 16.7096 | − | 10.8124i | 1.09234 | − | 0.706828i | ||||
\(235\) | −14.1620 | + | 7.18290i | −0.923826 | + | 0.468561i | ||||
\(236\) | −16.8472 | − | 21.5273i | −1.09666 | − | 1.40131i | ||||
\(237\) | 2.58428 | − | 2.05131i | 0.167867 | − | 0.133247i | ||||
\(238\) | 1.75063 | − | 0.931742i | 0.113477 | − | 0.0603959i | ||||
\(239\) | 18.5823 | + | 13.5009i | 1.20199 | + | 0.873298i | 0.994479 | − | 0.104935i | \(-0.0334634\pi\) |
0.207512 | + | 0.978232i | \(0.433463\pi\) | |||||||
\(240\) | −8.53446 | − | 12.9292i | −0.550897 | − | 0.834573i | ||||
\(241\) | −6.49962 | + | 4.72225i | −0.418677 | + | 0.304187i | −0.777105 | − | 0.629371i | \(-0.783313\pi\) |
0.358428 | + | 0.933557i | \(0.383313\pi\) | |||||||
\(242\) | −4.57928 | + | 9.39863i | −0.294367 | + | 0.604167i | ||||
\(243\) | 3.29591 | + | 15.2360i | 0.211433 | + | 0.977393i | ||||
\(244\) | 10.5871 | − | 15.7237i | 0.677773 | − | 1.00661i | ||||
\(245\) | −2.38677 | − | 15.2522i | −0.152485 | − | 0.974425i | ||||
\(246\) | −0.811382 | − | 3.67064i | −0.0517318 | − | 0.234031i | ||||
\(247\) | 24.6185 | − | 7.99903i | 1.56644 | − | 0.508966i | ||||
\(248\) | 14.7594 | − | 8.54544i | 0.937225 | − | 0.542636i | ||||
\(249\) | 0.189265 | + | 4.43932i | 0.0119942 | + | 0.281330i | ||||
\(250\) | 4.70055 | − | 15.0965i | 0.297289 | − | 0.954788i | ||||
\(251\) | −26.8547 | −1.69505 | −0.847527 | − | 0.530752i | \(-0.821909\pi\) | ||||
−0.847527 | + | 0.530752i | \(0.821909\pi\) | |||||||
\(252\) | 1.36125 | − | 1.26625i | 0.0857507 | − | 0.0797660i | ||||
\(253\) | −3.77474 | − | 11.6175i | −0.237316 | − | 0.730383i | ||||
\(254\) | −19.1051 | + | 3.37676i | −1.19876 | + | 0.211877i | ||||
\(255\) | −3.44504 | − | 17.1858i | −0.215737 | − | 1.07622i | ||||
\(256\) | 15.8369 | − | 2.27840i | 0.989809 | − | 0.142400i | ||||
\(257\) | 3.87994i | 0.242024i | 0.992651 | + | 0.121012i | \(0.0386140\pi\) | ||||
−0.992651 | + | 0.121012i | \(0.961386\pi\) | |||||||
\(258\) | −3.67744 | + | 8.44326i | −0.228947 | + | 0.525654i | ||||
\(259\) | −0.730712 | − | 1.00574i | −0.0454042 | − | 0.0624936i | ||||
\(260\) | −14.3238 | + | 15.3285i | −0.888323 | + | 0.950633i | ||||
\(261\) | −10.5921 | + | 17.5467i | −0.655637 | + | 1.08611i | ||||
\(262\) | 1.85299 | − | 0.986223i | 0.114478 | − | 0.0609290i | ||||
\(263\) | 11.2726 | − | 8.19005i | 0.695101 | − | 0.505020i | −0.183232 | − | 0.983070i | \(-0.558656\pi\) |
0.878333 | + | 0.478049i | \(0.158656\pi\) | |||||||
\(264\) | −7.84642 | + | 5.00090i | −0.482914 | + | 0.307784i | ||||
\(265\) | −0.767353 | − | 1.51293i | −0.0471381 | − | 0.0929387i | ||||
\(266\) | 2.13449 | − | 1.13604i | 0.130874 | − | 0.0696552i | ||||
\(267\) | −4.17935 | + | 15.0105i | −0.255772 | + | 0.918627i | ||||
\(268\) | −3.68260 | + | 12.8824i | −0.224951 | + | 0.786916i | ||||
\(269\) | −13.6533 | − | 4.43622i | −0.832456 | − | 0.270481i | −0.138376 | − | 0.990380i | \(-0.544188\pi\) |
−0.694079 | + | 0.719899i | \(0.744188\pi\) | |||||||
\(270\) | −7.26525 | − | 14.7383i | −0.442149 | − | 0.896942i | ||||
\(271\) | −1.44312 | + | 0.468897i | −0.0876630 | + | 0.0284834i | −0.352520 | − | 0.935804i | \(-0.614675\pi\) |
0.264857 | + | 0.964288i | \(0.414675\pi\) | |||||||
\(272\) | 17.5719 | + | 4.35077i | 1.06545 | + | 0.263804i | ||||
\(273\) | −2.09802 | − | 1.39174i | −0.126978 | − | 0.0842321i | ||||
\(274\) | 3.56890 | − | 25.4693i | 0.215605 | − | 1.53866i | ||||
\(275\) | −9.02073 | − | 2.96798i | −0.543971 | − | 0.178976i | ||||
\(276\) | −5.20558 | + | 21.6627i | −0.313339 | + | 1.30394i | ||||
\(277\) | 10.4349 | + | 7.58142i | 0.626974 | + | 0.455523i | 0.855350 | − | 0.518050i | \(-0.173342\pi\) |
−0.228377 | + | 0.973573i | \(0.573342\pi\) | |||||||
\(278\) | 15.4672 | − | 2.73378i | 0.927659 | − | 0.163961i | ||||
\(279\) | 16.6658 | − | 7.03391i | 0.997754 | − | 0.421109i | ||||
\(280\) | −1.06836 | + | 1.64287i | −0.0638469 | + | 0.0981803i | ||||
\(281\) | −24.2794 | − | 7.88884i | −1.44838 | − | 0.470609i | −0.523884 | − | 0.851789i | \(-0.675518\pi\) |
−0.924501 | + | 0.381181i | \(0.875518\pi\) | |||||||
\(282\) | 1.67794 | − | 17.3139i | 0.0999196 | − | 1.03103i | ||||
\(283\) | 2.52345 | + | 0.819917i | 0.150003 | + | 0.0487390i | 0.383056 | − | 0.923725i | \(-0.374872\pi\) |
−0.233053 | + | 0.972464i | \(0.574872\pi\) | |||||||
\(284\) | 4.56211 | − | 1.66468i | 0.270712 | − | 0.0987808i | ||||
\(285\) | −4.20043 | − | 20.9541i | −0.248812 | − | 1.24121i | ||||
\(286\) | 9.06751 | + | 8.74926i | 0.536173 | + | 0.517354i | ||||
\(287\) | −0.384718 | + | 0.279514i | −0.0227092 | + | 0.0164992i | ||||
\(288\) | 16.9680 | − | 0.295954i | 0.999848 | − | 0.0174392i | ||||
\(289\) | 2.81646 | + | 2.04628i | 0.165674 | + | 0.120369i | ||||
\(290\) | 6.34637 | − | 20.6514i | 0.372672 | − | 1.21269i | ||||
\(291\) | −13.5219 | − | 17.0352i | −0.792670 | − | 0.998622i | ||||
\(292\) | 10.4973 | − | 15.5903i | 0.614310 | − | 0.912355i | ||||
\(293\) | − | 25.7575i | − | 1.50477i | −0.658726 | − | 0.752383i | \(-0.728904\pi\) | ||
0.658726 | − | 0.752383i | \(-0.271096\pi\) | |||||||
\(294\) | 15.5045 | + | 6.75292i | 0.904239 | + | 0.393839i | ||||
\(295\) | 21.5709 | + | 21.6509i | 1.25591 | + | 1.26056i | ||||
\(296\) | 1.17238 | − | 11.2871i | 0.0681430 | − | 0.656050i | ||||
\(297\) | −8.92064 | + | 4.22130i | −0.517628 | + | 0.244945i | ||||
\(298\) | 10.1673 | − | 10.5371i | 0.588976 | − | 0.610400i | ||||
\(299\) | 30.1710 | 1.74484 | ||||||||
\(300\) | 11.1972 | + | 13.2145i | 0.646468 | + | 0.762941i | ||||
\(301\) | 1.16497 | 0.0671475 | ||||||||
\(302\) | −18.9603 | + | 19.6500i | −1.09104 | + | 1.13073i | ||||
\(303\) | 5.29365 | + | 14.2029i | 0.304112 | + | 0.815935i | ||||
\(304\) | 21.4248 | + | 5.30474i | 1.22880 | + | 0.304248i | ||||
\(305\) | −9.65647 | + | 18.8655i | −0.552928 | + | 1.08023i | ||||
\(306\) | 17.9140 | + | 6.91033i | 1.02408 | + | 0.395037i | ||||
\(307\) | − | 12.4595i | − | 0.711099i | −0.934657 | − | 0.355550i | \(-0.884294\pi\) | ||
0.934657 | − | 0.355550i | \(-0.115706\pi\) | |||||||
\(308\) | 0.976323 | + | 0.657381i | 0.0556312 | + | 0.0374578i | ||||
\(309\) | 6.33517 | − | 5.02863i | 0.360395 | − | 0.286069i | ||||
\(310\) | −15.2448 | + | 11.4533i | −0.865846 | + | 0.650504i | ||||
\(311\) | 6.46908 | + | 4.70006i | 0.366828 | + | 0.266516i | 0.755894 | − | 0.654694i | \(-0.227202\pi\) |
−0.389067 | + | 0.921210i | \(0.627202\pi\) | |||||||
\(312\) | −5.75855 | − | 22.2486i | −0.326014 | − | 1.25958i | ||||
\(313\) | −18.1139 | + | 13.1605i | −1.02386 | + | 0.743875i | −0.967070 | − | 0.254511i | \(-0.918085\pi\) |
−0.0567864 | + | 0.998386i | \(0.518085\pi\) | |||||||
\(314\) | −5.12853 | − | 4.94852i | −0.289419 | − | 0.279261i | ||||
\(315\) | −1.34228 | + | 1.58706i | −0.0756292 | + | 0.0894205i | ||||
\(316\) | −1.30597 | − | 3.57905i | −0.0734667 | − | 0.201337i | ||||
\(317\) | −16.3147 | − | 5.30095i | −0.916323 | − | 0.297731i | −0.187365 | − | 0.982290i | \(-0.559995\pi\) |
−0.728957 | + | 0.684559i | \(0.759995\pi\) | |||||||
\(318\) | 1.84965 | + | 0.179255i | 0.103723 | + | 0.0100521i | ||||
\(319\) | −12.3408 | − | 4.00976i | −0.690950 | − | 0.224503i | ||||
\(320\) | −17.2763 | + | 4.64015i | −0.965772 | + | 0.259392i | ||||
\(321\) | −0.499113 | + | 0.186028i | −0.0278578 | + | 0.0103831i | ||||
\(322\) | 2.77529 | − | 0.490524i | 0.154661 | − | 0.0273358i | ||||
\(323\) | 20.2029 | + | 14.6783i | 1.12412 | + | 0.816722i | ||||
\(324\) | 17.8951 | + | 1.94032i | 0.994173 | + | 0.107796i | ||||
\(325\) | 13.8570 | − | 18.9248i | 0.768650 | − | 1.04976i | ||||
\(326\) | −2.06497 | + | 14.7366i | −0.114368 | + | 0.816185i | ||||
\(327\) | −8.45036 | + | 12.7387i | −0.467306 | + | 0.704452i | ||||
\(328\) | −4.31757 | − | 0.448460i | −0.238398 | − | 0.0247621i | ||||
\(329\) | −2.09274 | + | 0.679973i | −0.115377 | + | 0.0374881i | ||||
\(330\) | 8.04340 | − | 6.59718i | 0.442775 | − | 0.363163i | ||||
\(331\) | 33.9964 | + | 11.0461i | 1.86861 | + | 0.607149i | 0.992047 | + | 0.125867i | \(0.0401713\pi\) |
0.876566 | + | 0.481282i | \(0.159829\pi\) | |||||||
\(332\) | 4.93314 | + | 1.41020i | 0.270741 | + | 0.0773950i | ||||
\(333\) | 2.73159 | − | 11.7221i | 0.149690 | − | 0.642369i | ||||
\(334\) | 6.26192 | − | 3.33280i | 0.342637 | − | 0.182363i | ||||
\(335\) | 2.37075 | − | 14.7911i | 0.129528 | − | 0.808123i | ||||
\(336\) | −0.891421 | − | 1.95292i | −0.0486310 | − | 0.106540i | ||||
\(337\) | −3.49101 | + | 2.53637i | −0.190167 | + | 0.138165i | −0.678795 | − | 0.734328i | \(-0.737498\pi\) |
0.488628 | + | 0.872492i | \(0.337498\pi\) | |||||||
\(338\) | −11.2440 | + | 5.98440i | −0.611591 | + | 0.325508i | ||||
\(339\) | −13.0994 | − | 8.68964i | −0.711463 | − | 0.471957i | ||||
\(340\) | −20.0858 | − | 2.48736i | −1.08931 | − | 0.134896i | ||||
\(341\) | 6.73149 | + | 9.26510i | 0.364531 | + | 0.501733i | ||||
\(342\) | 21.8419 | + | 8.42553i | 1.18108 | + | 0.455601i | ||||
\(343\) | − | 4.30823i | − | 0.232623i | ||||||
\(344\) | 7.91132 | + | 7.10590i | 0.426550 | + | 0.383124i | ||||
\(345\) | 2.89097 | − | 24.7408i | 0.155645 | − | 1.33200i | ||||
\(346\) | −17.2554 | + | 3.04985i | −0.927657 | + | 0.163961i | ||||
\(347\) | 4.70767 | + | 14.4887i | 0.252721 | + | 0.777795i | 0.994270 | + | 0.106896i | \(0.0340913\pi\) |
−0.741549 | + | 0.670898i | \(0.765909\pi\) | |||||||
\(348\) | 15.3664 | + | 17.9994i | 0.823726 | + | 0.964870i | ||||
\(349\) | 6.71463 | 0.359426 | 0.179713 | − | 0.983719i | \(-0.442483\pi\) | ||||
0.179713 | + | 0.983719i | \(0.442483\pi\) | |||||||
\(350\) | 0.966959 | − | 1.96609i | 0.0516862 | − | 0.105092i | ||||
\(351\) | −3.10734 | − | 24.1769i | −0.165858 | − | 1.29047i | ||||
\(352\) | 2.62044 | + | 10.4195i | 0.139670 | + | 0.555364i | ||||
\(353\) | −12.7469 | + | 4.14173i | −0.678451 | + | 0.220442i | −0.627917 | − | 0.778280i | \(-0.716092\pi\) |
−0.0505337 | + | 0.998722i | \(0.516092\pi\) | |||||||
\(354\) | −32.6904 | + | 7.22610i | −1.73747 | + | 0.384063i | ||||
\(355\) | −4.84232 | + | 2.45601i | −0.257004 | + | 0.130351i | ||||
\(356\) | 14.9242 | + | 10.0488i | 0.790979 | + | 0.532585i | ||||
\(357\) | −0.103457 | − | 2.42664i | −0.00547553 | − | 0.128431i | ||||
\(358\) | −13.3861 | + | 27.4739i | −0.707477 | + | 1.45204i | ||||
\(359\) | −19.8499 | + | 14.4218i | −1.04764 | + | 0.761153i | −0.971762 | − | 0.235965i | \(-0.924175\pi\) |
−0.0758753 | + | 0.997117i | \(0.524175\pi\) | |||||||
\(360\) | −18.7960 | + | 2.59028i | −0.990637 | + | 0.136520i | ||||
\(361\) | 9.26145 | + | 6.72883i | 0.487445 | + | 0.354149i | ||||
\(362\) | −27.4106 | + | 14.5888i | −1.44067 | + | 0.766770i | ||||
\(363\) | 7.96073 | + | 10.0291i | 0.417830 | + | 0.526391i | ||||
\(364\) | −2.28940 | + | 1.79168i | −0.119997 | + | 0.0939097i | ||||
\(365\) | −9.57455 | + | 18.7054i | −0.501155 | + | 0.979087i | ||||
\(366\) | −11.7707 | − | 20.0109i | −0.615263 | − | 1.04599i | ||||
\(367\) | −29.8410 | − | 9.69594i | −1.55769 | − | 0.506124i | −0.601500 | − | 0.798872i | \(-0.705430\pi\) |
−0.956190 | + | 0.292748i | \(0.905430\pi\) | |||||||
\(368\) | 21.8391 | + | 13.5972i | 1.13844 | + | 0.708801i | ||||
\(369\) | −4.48398 | − | 1.04490i | −0.233427 | − | 0.0543951i | ||||
\(370\) | 0.203109 | + | 12.6856i | 0.0105591 | + | 0.659495i | ||||
\(371\) | −0.0726419 | − | 0.223569i | −0.00377138 | − | 0.0116071i | ||||
\(372\) | −1.63446 | − | 20.8237i | −0.0847426 | − | 1.07966i | ||||
\(373\) | 2.56104 | + | 1.86070i | 0.132606 | + | 0.0963436i | 0.652111 | − | 0.758124i | \(-0.273884\pi\) |
−0.519505 | + | 0.854467i | \(0.673884\pi\) | |||||||
\(374\) | −1.68686 | + | 12.0382i | −0.0872256 | + | 0.622483i | ||||
\(375\) | −14.1909 | − | 13.1764i | −0.732817 | − | 0.680426i | ||||
\(376\) | −18.3595 | − | 8.14730i | −0.946819 | − | 0.420165i | ||||
\(377\) | 18.8382 | − | 25.9286i | 0.970218 | − | 1.33539i | ||||
\(378\) | −0.678901 | − | 2.17340i | −0.0349189 | − | 0.111788i | ||||
\(379\) | −16.6493 | + | 5.40969i | −0.855217 | + | 0.277877i | −0.703630 | − | 0.710567i | \(-0.748439\pi\) |
−0.151588 | + | 0.988444i | \(0.548439\pi\) | |||||||
\(380\) | −24.4900 | − | 3.03275i | −1.25631 | − | 0.155577i | ||||
\(381\) | −6.37346 | + | 22.8908i | −0.326522 | + | 1.17273i | ||||
\(382\) | −7.38910 | − | 1.03540i | −0.378059 | − | 0.0529757i | ||||
\(383\) | −6.59223 | + | 20.2888i | −0.336847 | + | 1.03671i | 0.628958 | + | 0.777439i | \(0.283482\pi\) |
−0.965805 | + | 0.259270i | \(0.916518\pi\) | |||||||
\(384\) | 5.85846 | − | 18.6997i | 0.298963 | − | 0.954265i | ||||
\(385\) | −1.17140 | − | 0.599593i | −0.0597002 | − | 0.0305581i | ||||
\(386\) | −2.66589 | − | 2.57232i | −0.135690 | − | 0.130928i | ||||
\(387\) | 7.38229 | + | 8.52760i | 0.375263 | + | 0.433482i | ||||
\(388\) | −23.5926 | + | 8.60878i | −1.19773 | + | 0.437045i | ||||
\(389\) | −4.43623 | + | 6.10594i | −0.224926 | + | 0.309583i | −0.906533 | − | 0.422134i | \(-0.861281\pi\) |
0.681608 | + | 0.731718i | \(0.261281\pi\) | |||||||
\(390\) | 9.35796 | + | 23.9297i | 0.473859 | + | 1.21173i | ||||
\(391\) | 17.1085 | + | 23.5478i | 0.865213 | + | 1.19086i | ||||
\(392\) | 13.0487 | − | 14.5277i | 0.659057 | − | 0.733758i | ||||
\(393\) | −0.109506 | − | 2.56853i | −0.00552387 | − | 0.129565i | ||||
\(394\) | 29.1932 | + | 14.2238i | 1.47073 | + | 0.716582i | ||||
\(395\) | 1.92678 | + | 3.79888i | 0.0969467 | + | 0.191142i | ||||
\(396\) | 1.37482 | + | 11.3125i | 0.0690871 | + | 0.568475i | ||||
\(397\) | −8.37440 | − | 25.7738i | −0.420299 | − | 1.29355i | −0.907424 | − | 0.420216i | \(-0.861954\pi\) |
0.487125 | − | 0.873332i | \(-0.338046\pi\) | |||||||
\(398\) | 6.50460 | − | 6.74121i | 0.326046 | − | 0.337906i | ||||
\(399\) | −0.126142 | − | 2.95872i | −0.00631498 | − | 0.148121i | ||||
\(400\) | 18.5592 | − | 7.45368i | 0.927958 | − | 0.372684i | ||||
\(401\) | − | 15.4298i | − | 0.770526i | −0.922807 | − | 0.385263i | \(-0.874111\pi\) | ||
0.922807 | − | 0.385263i | \(-0.125889\pi\) | |||||||
\(402\) | 12.2834 | + | 10.8809i | 0.612638 | + | 0.542692i | ||||
\(403\) | −26.9020 | + | 8.74099i | −1.34008 | + | 0.435420i | ||||
\(404\) | 17.4910 | − | 0.625070i | 0.870211 | − | 0.0310984i | ||||
\(405\) | −20.1233 | + | 0.231460i | −0.999934 | + | 0.0115013i | ||||
\(406\) | 1.31129 | − | 2.69132i | 0.0650781 | − | 0.133568i | ||||
\(407\) | 7.62007 | 0.377713 | ||||||||
\(408\) | 14.0991 | − | 17.1105i | 0.698010 | − | 0.847094i | ||||
\(409\) | −23.6000 | + | 17.1464i | −1.16694 | + | 0.847834i | −0.990640 | − | 0.136502i | \(-0.956414\pi\) |
−0.176303 | + | 0.984336i | \(0.556414\pi\) | |||||||
\(410\) | 4.85254 | − | 0.0776938i | 0.239650 | − | 0.00383703i | ||||
\(411\) | −26.2480 | − | 17.4119i | −1.29472 | − | 0.858867i | ||||
\(412\) | −3.20149 | − | 8.77378i | −0.157726 | − | 0.432253i | ||||
\(413\) | 2.48933 | + | 3.42626i | 0.122492 | + | 0.168595i | ||||
\(414\) | 21.1774 | + | 17.2068i | 1.04081 | + | 0.845670i | ||||
\(415\) | −5.66405 | − | 0.907848i | −0.278037 | − | 0.0445645i | ||||
\(416\) | −26.4761 | − | 1.79720i | −1.29810 | − | 0.0881148i | ||||
\(417\) | 5.15985 | − | 18.5320i | 0.252679 | − | 0.907517i | ||||
\(418\) | −2.05674 | + | 14.6778i | −0.100598 | + | 0.717916i | ||||
\(419\) | 8.89913 | − | 27.3887i | 0.434751 | − | 1.33803i | −0.458591 | − | 0.888648i | \(-0.651646\pi\) |
0.893342 | − | 0.449378i | \(-0.148354\pi\) | |||||||
\(420\) | 1.24984 | + | 2.04903i | 0.0609862 | + | 0.0999824i | ||||
\(421\) | 7.02569 | + | 21.6229i | 0.342411 | + | 1.05383i | 0.962955 | + | 0.269662i | \(0.0869119\pi\) |
−0.620544 | + | 0.784172i | \(0.713088\pi\) | |||||||
\(422\) | 23.0087 | − | 4.06673i | 1.12005 | − | 0.197965i | ||||
\(423\) | −18.2390 | − | 11.0100i | −0.886809 | − | 0.535326i | ||||
\(424\) | 0.870380 | − | 1.96135i | 0.0422694 | − | 0.0952518i | ||||
\(425\) | 22.6280 | + | 0.0837748i | 1.09762 | + | 0.00406367i | ||||
\(426\) | 0.573726 | − | 5.92004i | 0.0277971 | − | 0.286827i | ||||
\(427\) | −1.72620 | + | 2.37591i | −0.0835366 | + | 0.114978i | ||||
\(428\) | 0.0219660 | + | 0.614664i | 0.00106177 | + | 0.0297109i | ||||
\(429\) | 14.4605 | − | 5.38966i | 0.698159 | − | 0.260215i | ||||
\(430\) | −9.72922 | − | 6.83343i | −0.469185 | − | 0.329537i | ||||
\(431\) | 4.98781 | − | 15.3509i | 0.240255 | − | 0.739428i | −0.756126 | − | 0.654426i | \(-0.772910\pi\) |
0.996381 | − | 0.0850017i | \(-0.0270896\pi\) | |||||||
\(432\) | 8.64657 | − | 18.9007i | 0.416008 | − | 0.909361i | ||||
\(433\) | −3.93756 | + | 12.1186i | −0.189227 | + | 0.582380i | −0.999996 | − | 0.00298628i | \(-0.999049\pi\) |
0.810769 | + | 0.585367i | \(0.199049\pi\) | |||||||
\(434\) | −2.33247 | + | 1.24142i | −0.111962 | + | 0.0595899i | ||||
\(435\) | −19.4569 | − | 17.9322i | −0.932886 | − | 0.859781i | ||||
\(436\) | 10.8787 | + | 13.9008i | 0.520996 | + | 0.665725i | ||||
\(437\) | 20.8598 | + | 28.7110i | 0.997859 | + | 1.37343i | ||||
\(438\) | −11.6708 | − | 19.8411i | −0.557653 | − | 0.948046i | ||||
\(439\) | 0.00992669 | − | 0.0136629i | 0.000473775 | − | 0.000652095i | −0.808780 | − | 0.588111i | \(-0.799872\pi\) |
0.809254 | + | 0.587459i | \(0.199872\pi\) | |||||||
\(440\) | −4.29772 | − | 11.2170i | −0.204886 | − | 0.534751i | ||||
\(441\) | 15.6593 | − | 13.5562i | 0.745683 | − | 0.645533i | ||||
\(442\) | −26.9909 | − | 13.1507i | −1.28383 | − | 0.625517i | ||||
\(443\) | 13.3387 | 0.633739 | 0.316870 | − | 0.948469i | \(-0.397368\pi\) | ||||
0.316870 | + | 0.948469i | \(0.397368\pi\) | |||||||
\(444\) | −11.8486 | − | 7.26428i | −0.562311 | − | 0.344747i | ||||
\(445\) | −17.9062 | − | 9.16544i | −0.848834 | − | 0.434484i | ||||
\(446\) | −28.5764 | + | 5.05080i | −1.35313 | + | 0.239162i | ||||
\(447\) | −6.26319 | − | 16.8042i | −0.296239 | − | 0.794810i | ||||
\(448\) | −2.46463 | + | 0.265136i | −0.116443 | + | 0.0125265i | ||||
\(449\) | − | 34.1036i | − | 1.60945i | −0.593649 | − | 0.804724i | \(-0.702313\pi\) | ||
0.593649 | − | 0.804724i | \(-0.297687\pi\) | |||||||
\(450\) | 20.5194 | − | 5.38078i | 0.967295 | − | 0.253652i | ||||
\(451\) | − | 2.91485i | − | 0.137255i | ||||||
\(452\) | −14.2944 | + | 11.1868i | −0.672351 | + | 0.526181i | ||||
\(453\) | 11.6798 | + | 31.3369i | 0.548764 | + | 1.47234i | ||||
\(454\) | −3.00428 | − | 16.9976i | −0.140998 | − | 0.797737i | ||||
\(455\) | 2.30255 | − | 2.29404i | 0.107945 | − | 0.107546i | ||||
\(456\) | 17.1906 | − | 20.8622i | 0.805022 | − | 0.976962i | ||||
\(457\) | −31.6417 | −1.48014 | −0.740069 | − | 0.672531i | \(-0.765207\pi\) | ||||
−0.740069 | + | 0.672531i | \(0.765207\pi\) | |||||||
\(458\) | 1.94660 | − | 3.99524i | 0.0909585 | − | 0.186686i | ||||
\(459\) | 17.1075 | − | 16.1347i | 0.798510 | − | 0.753104i | ||||
\(460\) | −26.0552 | − | 12.1826i | −1.21483 | − | 0.568017i | ||||
\(461\) | −7.09986 | + | 9.77212i | −0.330673 | + | 0.455133i | −0.941688 | − | 0.336486i | \(-0.890762\pi\) |
0.611015 | + | 0.791619i | \(0.290762\pi\) | |||||||
\(462\) | 1.24252 | − | 0.730869i | 0.0578075 | − | 0.0340031i | ||||
\(463\) | −20.5543 | − | 28.2905i | −0.955238 | − | 1.31477i | −0.949161 | − | 0.314791i | \(-0.898066\pi\) |
−0.00607669 | − | 0.999982i | \(-0.501934\pi\) | |||||||
\(464\) | 25.3212 | − | 10.2784i | 1.17551 | − | 0.477165i | ||||
\(465\) | 4.59004 | + | 22.8977i | 0.212858 | + | 1.06186i | ||||
\(466\) | −6.19408 | − | 11.6379i | −0.286935 | − | 0.539116i | ||||
\(467\) | −3.83021 | + | 11.7882i | −0.177241 | + | 0.545492i | −0.999729 | − | 0.0232909i | \(-0.992586\pi\) |
0.822488 | + | 0.568783i | \(0.192586\pi\) | |||||||
\(468\) | −27.6230 | − | 5.40478i | −1.27687 | − | 0.249836i | ||||
\(469\) | 0.641453 | − | 1.97419i | 0.0296196 | − | 0.0911596i | ||||
\(470\) | 21.4661 | + | 6.59676i | 0.990159 | + | 0.304286i | ||||
\(471\) | −8.17875 | + | 3.04836i | −0.376857 | + | 0.140461i | ||||
\(472\) | −3.99395 | + | 38.4519i | −0.183836 | + | 1.76989i | ||||
\(473\) | −4.19723 | + | 5.77700i | −0.192989 | + | 0.265627i | ||||
\(474\) | −4.64437 | − | 0.450098i | −0.213323 | − | 0.0206737i | ||||
\(475\) | 27.5896 | + | 0.102144i | 1.26590 | + | 0.00468668i | ||||
\(476\) | −2.69657 | − | 0.770852i | −0.123597 | − | 0.0353319i | ||||
\(477\) | 1.17621 | − | 1.94848i | 0.0538549 | − | 0.0892147i | ||||
\(478\) | −5.65366 | − | 31.9873i | −0.258593 | − | 1.46307i | ||||
\(479\) | −0.322045 | − | 0.991153i | −0.0147146 | − | 0.0452869i | 0.943430 | − | 0.331573i | \(-0.107579\pi\) |
−0.958144 | + | 0.286286i | \(0.907579\pi\) | |||||||
\(480\) | −4.01066 | + | 21.5387i | −0.183061 | + | 0.983102i | ||||
\(481\) | −5.81604 | + | 17.8999i | −0.265189 | + | 0.816166i | ||||
\(482\) | 11.2518 | + | 1.57667i | 0.512506 | + | 0.0718151i | ||||
\(483\) | 0.925837 | − | 3.32522i | 0.0421271 | − | 0.151303i | ||||
\(484\) | 13.8896 | − | 5.06822i | 0.631346 | − | 0.230374i | ||||
\(485\) | 25.0417 | − | 12.7010i | 1.13708 | − | 0.576725i | ||||
\(486\) | 11.6073 | − | 18.7422i | 0.526516 | − | 0.850165i | ||||
\(487\) | 15.6093 | + | 21.4843i | 0.707323 | + | 0.973547i | 0.999851 | + | 0.0172900i | \(0.00550384\pi\) |
−0.292527 | + | 0.956257i | \(0.594496\pi\) | |||||||
\(488\) | −26.2149 | + | 5.60565i | −1.18669 | + | 0.253756i | ||||
\(489\) | 15.1872 | + | 10.0746i | 0.686788 | + | 0.455588i | ||||
\(490\) | −12.5483 | + | 17.8659i | −0.566875 | + | 0.807099i | ||||
\(491\) | −25.8833 | + | 18.8053i | −1.16810 | + | 0.848671i | −0.990780 | − | 0.135483i | \(-0.956741\pi\) |
−0.177316 | + | 0.984154i | \(0.556741\pi\) | |||||||
\(492\) | −2.77875 | + | 4.53237i | −0.125276 | + | 0.204335i | ||||
\(493\) | 30.9189 | 1.39252 | ||||||||
\(494\) | −32.9091 | − | 16.0343i | −1.48065 | − | 0.721415i | ||||
\(495\) | −3.03403 | − | 12.3743i | −0.136370 | − | 0.556183i | ||||
\(496\) | −23.4121 | − | 5.79679i | −1.05124 | − | 0.260284i | ||||
\(497\) | −0.715558 | + | 0.232499i | −0.0320972 | + | 0.0104290i | ||||
\(498\) | 4.16671 | − | 4.70375i | 0.186715 | − | 0.210780i | ||||
\(499\) | − | 22.0312i | − | 0.986252i | −0.869958 | − | 0.493126i | \(-0.835854\pi\) | ||
0.869958 | − | 0.493126i | \(-0.164146\pi\) | |||||||
\(500\) | −19.6082 | + | 10.7479i | −0.876907 | + | 0.480660i | ||||
\(501\) | −0.370061 | − | 8.67997i | −0.0165331 | − | 0.387792i | ||||
\(502\) | 27.3300 | + | 26.3708i | 1.21980 | + | 1.17699i | ||||
\(503\) | −5.57845 | − | 17.1687i | −0.248731 | − | 0.765514i | −0.995000 | − | 0.0998705i | \(-0.968157\pi\) |
0.746270 | − | 0.665644i | \(-0.231843\pi\) | |||||||
\(504\) | −2.62877 | − | 0.0480628i | −0.117095 | − | 0.00214089i | ||||
\(505\) | −19.3328 | + | 3.02533i | −0.860296 | + | 0.134626i | ||||
\(506\) | −7.56656 | + | 15.5298i | −0.336375 | + | 0.690384i | ||||
\(507\) | 0.664484 | + | 15.5858i | 0.0295108 | + | 0.692191i | ||||
\(508\) | 22.7591 | + | 15.3243i | 1.00977 | + | 0.679905i | ||||
\(509\) | 17.7421 | + | 24.4200i | 0.786406 | + | 1.08240i | 0.994546 | + | 0.104296i | \(0.0332590\pi\) |
−0.208140 | + | 0.978099i | \(0.566741\pi\) | |||||||
\(510\) | −13.3701 | + | 20.8730i | −0.592038 | + | 0.924270i | ||||
\(511\) | −1.71156 | + | 2.35575i | −0.0757147 | + | 0.104212i | ||||
\(512\) | −18.3546 | − | 13.2328i | −0.811167 | − | 0.584815i | ||||
\(513\) | 20.8586 | − | 19.6725i | 0.920930 | − | 0.868563i | ||||
\(514\) | 3.81003 | − | 3.94862i | 0.168053 | − | 0.174166i | ||||
\(515\) | 4.72335 | + | 9.31267i | 0.208136 | + | 0.410365i | ||||
\(516\) | 12.0336 | − | 4.98153i | 0.529752 | − | 0.219300i | ||||
\(517\) | 4.16796 | − | 12.8277i | 0.183307 | − | 0.564160i | ||||
\(518\) | −0.243970 | + | 1.74109i | −0.0107194 | + | 0.0764989i | ||||
\(519\) | −5.75641 | + | 20.6746i | −0.252679 | + | 0.907516i | ||||
\(520\) | 29.6296 | − | 1.53414i | 1.29934 | − | 0.0672764i | ||||
\(521\) | 2.15432 | − | 0.699982i | 0.0943826 | − | 0.0306668i | −0.261445 | − | 0.965218i | \(-0.584199\pi\) |
0.355828 | + | 0.934552i | \(0.384199\pi\) | |||||||
\(522\) | 28.0101 | − | 7.45599i | 1.22597 | − | 0.326340i | ||||
\(523\) | −2.94584 | + | 4.05459i | −0.128812 | + | 0.177295i | −0.868552 | − | 0.495598i | \(-0.834949\pi\) |
0.739739 | + | 0.672893i | \(0.234949\pi\) | |||||||
\(524\) | −2.85424 | − | 0.815925i | −0.124688 | − | 0.0356438i | ||||
\(525\) | −1.66053 | − | 2.10795i | −0.0724714 | − | 0.0919984i | ||||
\(526\) | −19.5146 | − | 2.73450i | −0.850879 | − | 0.119230i | ||||
\(527\) | −22.0769 | − | 16.0398i | −0.961685 | − | 0.698705i | ||||
\(528\) | 12.8961 | + | 2.61562i | 0.561230 | + | 0.113830i | ||||
\(529\) | 5.67491 | + | 17.4656i | 0.246735 | + | 0.759373i | ||||
\(530\) | −0.704735 | + | 2.29324i | −0.0306117 | + | 0.0996119i | ||||
\(531\) | −9.30576 | + | 39.9339i | −0.403835 | + | 1.73299i | ||||
\(532\) | −3.28784 | − | 0.939874i | −0.142546 | − | 0.0407487i | ||||
\(533\) | 6.84712 | + | 2.22477i | 0.296582 | + | 0.0963653i | ||||
\(534\) | 18.9933 | − | 11.1721i | 0.821922 | − | 0.483466i | ||||
\(535\) | −0.106315 | − | 0.679386i | −0.00459641 | − | 0.0293724i | ||||
\(536\) | 16.3980 | − | 9.49415i | 0.708287 | − | 0.410085i | ||||
\(537\) | 23.2707 | + | 29.3169i | 1.00421 | + | 1.26512i | ||||
\(538\) | 9.53867 | + | 17.9220i | 0.411241 | + | 0.772673i | ||||
\(539\) | 10.6084 | + | 7.70744i | 0.456935 | + | 0.331983i | ||||
\(540\) | −7.07884 | + | 22.1335i | −0.304625 | + | 0.952472i | ||||
\(541\) | 2.54633 | − | 1.85001i | 0.109475 | − | 0.0795383i | −0.531701 | − | 0.846932i | \(-0.678447\pi\) |
0.641176 | + | 0.767394i | \(0.278447\pi\) | |||||||
\(542\) | 1.92911 | + | 0.939915i | 0.0828622 | + | 0.0403728i | ||||
\(543\) | 1.61988 | + | 37.9952i | 0.0695159 | + | 1.63053i | ||||
\(544\) | −13.6106 | − | 21.6831i | −0.583549 | − | 0.929654i | ||||
\(545\) | −13.9289 | − | 13.9806i | −0.596650 | − | 0.598863i | ||||
\(546\) | 0.768488 | + | 3.47659i | 0.0328883 | + | 0.148784i | ||||
\(547\) | −19.1348 | + | 6.21729i | −0.818147 | + | 0.265832i | −0.688045 | − | 0.725668i | \(-0.741531\pi\) |
−0.130103 | + | 0.991501i | \(0.541531\pi\) | |||||||
\(548\) | −28.6424 | + | 22.4155i | −1.22354 | + | 0.957544i | ||||
\(549\) | −28.3305 | + | 2.42008i | −1.20912 | + | 0.103287i | ||||
\(550\) | 6.26590 | + | 11.8787i | 0.267179 | + | 0.506510i | ||||
\(551\) | 37.6983 | 1.60600 | ||||||||
\(552\) | 26.5701 | − | 16.9344i | 1.13090 | − | 0.720776i | ||||
\(553\) | 0.182399 | + | 0.561367i | 0.00775641 | + | 0.0238718i | ||||
\(554\) | −3.17482 | − | 17.9625i | −0.134885 | − | 0.763154i | ||||
\(555\) | 14.1210 | + | 6.48442i | 0.599402 | + | 0.275248i | ||||
\(556\) | −18.4254 | − | 12.4063i | −0.781413 | − | 0.526144i | ||||
\(557\) | − | 2.68419i | − | 0.113733i | −0.998382 | − | 0.0568664i | \(-0.981889\pi\) | ||
0.998382 | − | 0.0568664i | \(-0.0181109\pi\) | |||||||
\(558\) | −23.8679 | − | 9.20706i | −1.01041 | − | 0.389766i | ||||
\(559\) | −10.3669 | − | 14.2688i | −0.438473 | − | 0.603507i | ||||
\(560\) | 2.70054 | − | 0.622839i | 0.114119 | − | 0.0263198i | ||||
\(561\) | 12.4063 | + | 8.22986i | 0.523795 | + | 0.347465i | ||||
\(562\) | 16.9624 | + | 31.8703i | 0.715516 | + | 1.34437i | ||||
\(563\) | 5.37175 | − | 3.90280i | 0.226392 | − | 0.164483i | −0.468807 | − | 0.883301i | \(-0.655316\pi\) |
0.695199 | + | 0.718817i | \(0.255316\pi\) | |||||||
\(564\) | −18.7096 | + | 15.9727i | −0.787815 | + | 0.672571i | ||||
\(565\) | 14.3765 | − | 14.3233i | 0.604823 | − | 0.602588i | ||||
\(566\) | −1.76297 | − | 3.31241i | −0.0741031 | − | 0.139231i | ||||
\(567\) | −2.75995 | − | 0.399433i | −0.115907 | − | 0.0167746i | ||||
\(568\) | −6.27755 | − | 2.78576i | −0.263400 | − | 0.116888i | ||||
\(569\) | 16.1239 | + | 5.23898i | 0.675950 | + | 0.219629i | 0.626821 | − | 0.779163i | \(-0.284356\pi\) |
0.0491284 | + | 0.998792i | \(0.484356\pi\) | |||||||
\(570\) | −16.3017 | + | 25.4497i | −0.682804 | + | 1.06597i | ||||
\(571\) | 10.2552 | − | 3.33210i | 0.429165 | − | 0.139444i | −0.0864661 | − | 0.996255i | \(-0.527557\pi\) |
0.515631 | + | 0.856811i | \(0.327557\pi\) | |||||||
\(572\) | −0.636407 | − | 17.8082i | −0.0266095 | − | 0.744600i | ||||
\(573\) | −5.05150 | + | 7.61502i | −0.211030 | + | 0.318122i | ||||
\(574\) | 0.666004 | + | 0.0933241i | 0.0277985 | + | 0.00389527i | ||||
\(575\) | 30.5467 | + | 10.0504i | 1.27388 | + | 0.419131i | ||||
\(576\) | −17.5589 | − | 16.3610i | −0.731623 | − | 0.681710i | ||||
\(577\) | −0.900509 | − | 0.654258i | −0.0374887 | − | 0.0272371i | 0.568883 | − | 0.822418i | \(-0.307376\pi\) |
−0.606372 | + | 0.795181i | \(0.707376\pi\) | |||||||
\(578\) | −0.856908 | − | 4.84821i | −0.0356427 | − | 0.201659i | ||||
\(579\) | −4.25145 | + | 1.58459i | −0.176684 | + | 0.0658532i | ||||
\(580\) | −26.7379 | + | 14.7849i | −1.11023 | + | 0.613909i | ||||
\(581\) | −0.755990 | − | 0.245636i | −0.0313638 | − | 0.0101907i | ||||
\(582\) | −2.96698 | + | 30.6150i | −0.122985 | + | 1.26903i | ||||
\(583\) | 1.37038 | + | 0.445265i | 0.0567555 | + | 0.0184410i | ||||
\(584\) | −25.9925 | + | 5.55810i | −1.07558 | + | 0.229996i | ||||
\(585\) | 31.3836 | + | 2.31763i | 1.29755 | + | 0.0958220i | ||||
\(586\) | −25.2933 | + | 26.2134i | −1.04486 | + | 1.08286i | ||||
\(587\) | 6.04530 | − | 4.39217i | 0.249516 | − | 0.181284i | −0.455996 | − | 0.889982i | \(-0.650717\pi\) |
0.705512 | + | 0.708698i | \(0.250717\pi\) | |||||||
\(588\) | −9.14766 | − | 22.0975i | −0.377243 | − | 0.911287i | ||||
\(589\) | −26.9176 | − | 19.5568i | −1.10912 | − | 0.805824i | ||||
\(590\) | −0.691935 | − | 43.2163i | −0.0284865 | − | 1.77919i | ||||
\(591\) | 31.1515 | − | 24.7269i | 1.28140 | − | 1.01713i | ||||
\(592\) | −12.2769 | + | 10.3356i | −0.504575 | + | 0.424792i | ||||
\(593\) | 41.8958i | 1.72045i | 0.509912 | + | 0.860226i | \(0.329678\pi\) | ||||
−0.509912 | + | 0.860226i | \(0.670322\pi\) | |||||||
\(594\) | 13.2238 | + | 4.46388i | 0.542578 | + | 0.183155i | ||||
\(595\) | 3.09611 | + | 0.496252i | 0.126928 | + | 0.0203443i | ||||
\(596\) | −20.6945 | + | 0.739552i | −0.847681 | + | 0.0302932i | ||||
\(597\) | −4.00692 | − | 10.7506i | −0.163992 | − | 0.439992i | ||||
\(598\) | −30.7051 | − | 29.6274i | −1.25562 | − | 1.21155i | ||||
\(599\) | −30.2844 | −1.23739 | −0.618693 | − | 0.785633i | \(-0.712338\pi\) | ||||
−0.618693 | + | 0.785633i | \(0.712338\pi\) | |||||||
\(600\) | 1.58107 | − | 24.4438i | 0.0645467 | − | 0.997915i | ||||
\(601\) | −5.91631 | −0.241331 | −0.120666 | − | 0.992693i | \(-0.538503\pi\) | ||||
−0.120666 | + | 0.992693i | \(0.538503\pi\) | |||||||
\(602\) | −1.18559 | − | 1.14397i | −0.0483208 | − | 0.0466249i | ||||
\(603\) | 18.5160 | − | 7.81481i | 0.754030 | − | 0.318244i | ||||
\(604\) | 38.5917 | − | 1.37914i | 1.57028 | − | 0.0561164i | ||||
\(605\) | −14.7427 | + | 7.47745i | −0.599377 | + | 0.304001i | ||||
\(606\) | 8.55961 | − | 19.6525i | 0.347710 | − | 0.798330i | ||||
\(607\) | 6.47572i | 0.262842i | 0.991327 | + | 0.131421i | \(0.0419539\pi\) | ||||
−0.991327 | + | 0.131421i | \(0.958046\pi\) | |||||||
\(608\) | −16.5949 | − | 26.4374i | −0.673013 | − | 1.07218i | ||||
\(609\) | −2.27958 | − | 2.87186i | −0.0923731 | − | 0.116374i | ||||
\(610\) | 28.3529 | − | 9.71693i | 1.14798 | − | 0.393427i | ||||
\(611\) | 26.9516 | + | 19.5815i | 1.09034 | + | 0.792182i | ||||
\(612\) | −11.4453 | − | 24.6238i | −0.462648 | − | 0.995360i | ||||
\(613\) | 14.2311 | − | 10.3395i | 0.574787 | − | 0.417607i | −0.262054 | − | 0.965053i | \(-0.584400\pi\) |
0.836841 | + | 0.547446i | \(0.184400\pi\) | |||||||
\(614\) | −12.2350 | + | 12.6800i | −0.493763 | + | 0.511723i | ||||
\(615\) | 2.48044 | − | 5.40159i | 0.100021 | − | 0.217813i | ||||
\(616\) | −0.348068 | − | 1.62775i | −0.0140241 | − | 0.0655838i | ||||
\(617\) | −20.9543 | − | 6.80846i | −0.843587 | − | 0.274098i | −0.144830 | − | 0.989457i | \(-0.546263\pi\) |
−0.698758 | + | 0.715358i | \(0.746263\pi\) | |||||||
\(618\) | −11.3853 | − | 1.10338i | −0.457985 | − | 0.0443845i | ||||
\(619\) | 19.7409 | + | 6.41419i | 0.793452 | + | 0.257808i | 0.677573 | − | 0.735455i | \(-0.263032\pi\) |
0.115879 | + | 0.993263i | \(0.463032\pi\) | |||||||
\(620\) | 26.7616 | + | 3.31406i | 1.07477 | + | 0.133096i | ||||
\(621\) | 30.2077 | − | 14.2945i | 1.21219 | − | 0.573618i | ||||
\(622\) | −1.96821 | − | 11.1358i | −0.0789182 | − | 0.446503i | ||||
\(623\) | −2.25509 | − | 1.63842i | −0.0903484 | − | 0.0656420i | ||||
\(624\) | −15.9872 | + | 28.2972i | −0.640000 | + | 1.13279i | ||||
\(625\) | 20.3337 | − | 14.5445i | 0.813347 | − | 0.581779i | ||||
\(626\) | 31.3578 | + | 4.39403i | 1.25331 | + | 0.175621i | ||||
\(627\) | 15.1266 | + | 10.0344i | 0.604098 | + | 0.400735i | ||||
\(628\) | 0.359947 | + | 10.0722i | 0.0143635 | + | 0.401926i | ||||
\(629\) | −17.2685 | + | 5.61086i | −0.688538 | + | 0.223720i | ||||
\(630\) | 2.92450 | − | 0.297050i | 0.116515 | − | 0.0118348i | ||||
\(631\) | 30.4448 | + | 9.89211i | 1.21199 | + | 0.393799i | 0.844158 | − | 0.536094i | \(-0.180101\pi\) |
0.367830 | + | 0.929893i | \(0.380101\pi\) | |||||||
\(632\) | −2.18547 | + | 4.92484i | −0.0869334 | + | 0.195900i | ||||
\(633\) | 7.67572 | − | 27.5680i | 0.305082 | − | 1.09573i | ||||
\(634\) | 11.3980 | + | 21.4155i | 0.452672 | + | 0.850517i | ||||
\(635\) | −27.3067 | − | 13.9772i | −1.08363 | − | 0.554667i | ||||
\(636\) | −1.70637 | − | 1.99875i | −0.0676619 | − | 0.0792557i | ||||
\(637\) | −26.2020 | + | 19.0369i | −1.03816 | + | 0.754269i | ||||
\(638\) | 8.62169 | + | 16.1991i | 0.341336 | + | 0.641329i | ||||
\(639\) | −6.23634 | − | 3.76459i | −0.246706 | − | 0.148925i | ||||
\(640\) | 22.1386 | + | 12.2427i | 0.875104 | + | 0.483934i | ||||
\(641\) | 27.9458 | + | 38.4641i | 1.10379 | + | 1.51924i | 0.830258 | + | 0.557379i | \(0.188193\pi\) |
0.273535 | + | 0.961862i | \(0.411807\pi\) | |||||||
\(642\) | 0.690624 | + | 0.300799i | 0.0272567 | + | 0.0118716i | ||||
\(643\) | − | 39.1531i | − | 1.54405i | −0.635594 | − | 0.772024i | \(-0.719245\pi\) | ||
0.635594 | − | 0.772024i | \(-0.280755\pi\) | |||||||
\(644\) | −3.30610 | − | 2.22607i | −0.130279 | − | 0.0877196i | ||||
\(645\) | −12.6940 | + | 7.13382i | −0.499828 | + | 0.280894i | ||||
\(646\) | −6.14674 | − | 34.7770i | −0.241840 | − | 1.36828i | ||||
\(647\) | 2.07945 | + | 6.39988i | 0.0817515 | + | 0.251605i | 0.983575 | − | 0.180499i | \(-0.0577713\pi\) |
−0.901824 | + | 0.432104i | \(0.857771\pi\) | |||||||
\(648\) | −16.3065 | − | 19.5473i | −0.640580 | − | 0.767891i | ||||
\(649\) | −25.9594 | −1.01900 | ||||||||
\(650\) | −32.6861 | + | 5.65247i | −1.28206 | + | 0.221708i | ||||
\(651\) | 0.137842 | + | 3.23316i | 0.00540246 | + | 0.126718i | ||||
\(652\) | 16.5726 | − | 12.9697i | 0.649033 | − | 0.507932i | ||||
\(653\) | 26.7002 | − | 8.67542i | 1.04486 | − | 0.339495i | 0.264210 | − | 0.964465i | \(-0.414889\pi\) |
0.780649 | + | 0.624970i | \(0.214889\pi\) | |||||||
\(654\) | 21.1091 | − | 4.66609i | 0.825431 | − | 0.182459i | ||||
\(655\) | 3.27714 | + | 0.525268i | 0.128048 | + | 0.0205239i | ||||
\(656\) | 3.95362 | + | 4.69617i | 0.154363 | + | 0.183355i | ||||
\(657\) | −28.0902 | + | 2.39955i | −1.09590 | + | 0.0936154i | ||||
\(658\) | 2.79750 | + | 1.36302i | 0.109058 | + | 0.0531362i | ||||
\(659\) | 10.1120 | − | 7.34678i | 0.393906 | − | 0.286190i | −0.373148 | − | 0.927772i | \(-0.621722\pi\) |
0.767054 | + | 0.641582i | \(0.221722\pi\) | |||||||
\(660\) | −14.6641 | − | 1.18451i | −0.570798 | − | 0.0461069i | ||||
\(661\) | 18.2915 | + | 13.2896i | 0.711457 | + | 0.516904i | 0.883644 | − | 0.468160i | \(-0.155083\pi\) |
−0.172186 | + | 0.985064i | \(0.555083\pi\) | |||||||
\(662\) | −23.7511 | − | 44.6255i | −0.923113 | − | 1.73442i | ||||
\(663\) | −28.8015 | + | 22.8616i | −1.11856 | + | 0.887870i | ||||
\(664\) | −3.63566 | − | 6.27941i | −0.141091 | − | 0.243688i | ||||
\(665\) | 3.77498 | + | 0.605063i | 0.146387 | + | 0.0234633i | ||||
\(666\) | −14.2908 | + | 9.24724i | −0.553759 | + | 0.358323i | ||||
\(667\) | 41.7892 | + | 13.5781i | 1.61808 | + | 0.525747i | ||||
\(668\) | −9.64550 | − | 2.75730i | −0.373196 | − | 0.106683i | ||||
\(669\) | −9.53310 | + | 34.2389i | −0.368571 | + | 1.32375i | ||||
\(670\) | −16.9373 | + | 12.7249i | −0.654344 | + | 0.491604i | ||||
\(671\) | −5.56271 | − | 17.1202i | −0.214746 | − | 0.660920i | ||||
\(672\) | −1.01053 | + | 2.86284i | −0.0389819 | + | 0.110436i | ||||
\(673\) | 12.8972 | + | 9.37034i | 0.497149 | + | 0.361200i | 0.807927 | − | 0.589283i | \(-0.200590\pi\) |
−0.310778 | + | 0.950483i | \(0.600590\pi\) | |||||||
\(674\) | 6.04346 | + | 0.846843i | 0.232786 | + | 0.0326192i | ||||
\(675\) | 4.90765 | − | 25.5130i | 0.188895 | − | 0.981997i | ||||
\(676\) | 17.3195 | + | 4.95103i | 0.666136 | + | 0.190424i | ||||
\(677\) | 23.1821 | − | 31.9074i | 0.890960 | − | 1.22630i | −0.0823033 | − | 0.996607i | \(-0.526228\pi\) |
0.973263 | − | 0.229694i | \(-0.0737724\pi\) | |||||||
\(678\) | 4.79822 | + | 21.7068i | 0.184275 | + | 0.833646i | ||||
\(679\) | 3.70045 | − | 1.20235i | 0.142010 | − | 0.0461420i | ||||
\(680\) | 17.9988 | + | 22.2553i | 0.690222 | + | 0.853451i | ||||
\(681\) | −20.3657 | − | 5.67040i | −0.780416 | − | 0.217290i | ||||
\(682\) | 2.24751 | − | 16.0393i | 0.0860617 | − | 0.614176i | ||||
\(683\) | 7.28659 | − | 22.4258i | 0.278814 | − | 0.858100i | −0.709371 | − | 0.704835i | \(-0.751021\pi\) |
0.988185 | − | 0.153265i | \(-0.0489789\pi\) | |||||||
\(684\) | −13.9548 | − | 30.0230i | −0.533577 | − | 1.14796i | ||||
\(685\) | 28.8069 | − | 28.7005i | 1.10066 | − | 1.09659i | ||||
\(686\) | −4.23060 | + | 4.38449i | −0.161525 | + | 0.167401i | ||||
\(687\) | −3.38401 | − | 4.26325i | −0.129108 | − | 0.162653i | ||||
\(688\) | −1.07350 | − | 15.0004i | −0.0409269 | − | 0.571886i | ||||
\(689\) | −2.09190 | + | 2.87925i | −0.0796950 | + | 0.109691i | ||||
\(690\) | −27.2372 | + | 22.3399i | −1.03690 | + | 0.850464i | ||||
\(691\) | −10.9643 | − | 15.0910i | −0.417100 | − | 0.574089i | 0.547832 | − | 0.836588i | \(-0.315453\pi\) |
−0.964932 | + | 0.262500i | \(0.915453\pi\) | |||||||
\(692\) | 20.5557 | + | 13.8407i | 0.781412 | + | 0.526143i | ||||
\(693\) | −0.150269 | − | 1.75911i | −0.00570823 | − | 0.0668231i | ||||
\(694\) | 9.43664 | − | 19.3680i | 0.358210 | − | 0.735200i | ||||
\(695\) | 22.1070 | + | 11.3157i | 0.838568 | + | 0.429229i | ||||
\(696\) | 2.03668 | − | 33.4075i | 0.0772002 | − | 1.26631i | ||||
\(697\) | 2.14628 | + | 6.60557i | 0.0812962 | + | 0.250204i | ||||
\(698\) | −6.83348 | − | 6.59364i | −0.258651 | − | 0.249573i | ||||
\(699\) | −16.1319 | + | 0.687766i | −0.610165 | + | 0.0260137i | ||||
\(700\) | −2.91474 | + | 1.05136i | −0.110167 | + | 0.0397376i | ||||
\(701\) | − | 22.0139i | − | 0.831452i | −0.909490 | − | 0.415726i | \(-0.863528\pi\) | ||
0.909490 | − | 0.415726i | \(-0.136472\pi\) | |||||||
\(702\) | −20.5789 | + | 27.6562i | −0.776702 | + | 1.04382i | ||||
\(703\) | −21.0548 | + | 6.84113i | −0.794098 | + | 0.258018i | ||||
\(704\) | 7.56497 | − | 13.1772i | 0.285116 | − | 0.496634i | ||||
\(705\) | 18.6397 | − | 20.2245i | 0.702010 | − | 0.761699i | ||||
\(706\) | 17.0397 | + | 8.30220i | 0.641296 | + | 0.312457i | ||||
\(707\) | −2.71158 | −0.101979 | ||||||||
\(708\) | 40.3649 | + | 24.7473i | 1.51701 | + | 0.930061i | ||||
\(709\) | −26.2223 | + | 19.0516i | −0.984798 | + | 0.715498i | −0.958776 | − | 0.284164i | \(-0.908284\pi\) |
−0.0260224 | + | 0.999661i | \(0.508284\pi\) | |||||||
\(710\) | 7.33978 | + | 2.25559i | 0.275457 | + | 0.0846507i | ||||
\(711\) | −2.95339 | + | 4.89251i | −0.110761 | + | 0.183483i | ||||
\(712\) | −5.32061 | − | 24.8819i | −0.199398 | − | 0.932489i | ||||
\(713\) | −22.7947 | − | 31.3742i | −0.853667 | − | 1.17497i | ||||
\(714\) | −2.27762 | + | 2.57118i | −0.0852379 | + | 0.0962241i | ||||
\(715\) | 3.08020 | + | 19.6834i | 0.115193 | + | 0.736117i | ||||
\(716\) | 40.6019 | − | 14.8154i | 1.51736 | − | 0.553676i | ||||
\(717\) | −38.3257 | − | 10.6710i | −1.43130 | − | 0.398515i | ||||
\(718\) | 34.3632 | + | 4.81515i | 1.28242 | + | 0.179700i | ||||
\(719\) | −11.1789 | + | 34.4052i | −0.416903 | + | 1.28310i | 0.493634 | + | 0.869669i | \(0.335668\pi\) |
−0.910538 | + | 0.413426i | \(0.864332\pi\) | |||||||
\(720\) | 21.6723 | + | 15.8212i | 0.807680 | + | 0.589622i | ||||
\(721\) | 0.447138 | + | 1.37615i | 0.0166523 | + | 0.0512505i | ||||
\(722\) | −2.81779 | − | 15.9425i | −0.104867 | − | 0.593318i | ||||
\(723\) | 7.69223 | − | 11.5958i | 0.286077 | − | 0.431254i | ||||
\(724\) | 42.2217 | + | 12.0697i | 1.56916 | + | 0.448565i | ||||
\(725\) | 27.7099 | − | 19.9761i | 1.02912 | − | 0.741895i | ||||
\(726\) | 1.74674 | − | 18.0239i | 0.0648277 | − | 0.668929i | ||||
\(727\) | 9.73296 | − | 13.3963i | 0.360976 | − | 0.496840i | −0.589445 | − | 0.807809i | \(-0.700653\pi\) |
0.950420 | + | 0.310969i | \(0.100653\pi\) | |||||||
\(728\) | 4.08932 | + | 0.424752i | 0.151560 | + | 0.0157424i | ||||
\(729\) | −14.5657 | − | 22.7341i | −0.539470 | − | 0.842005i | ||||
\(730\) | 28.1124 | − | 9.63450i | 1.04049 | − | 0.356589i | ||||
\(731\) | 5.25793 | − | 16.1822i | 0.194472 | − | 0.598522i | ||||
\(732\) | −7.67129 | + | 31.9237i | −0.283539 | + | 1.17993i | ||||
\(733\) | −2.17150 | + | 6.68320i | −0.0802063 | + | 0.246850i | −0.983117 | − | 0.182979i | \(-0.941426\pi\) |
0.902911 | + | 0.429829i | \(0.141426\pi\) | |||||||
\(734\) | 20.8480 | + | 39.1709i | 0.769514 | + | 1.44582i | ||||
\(735\) | 13.0999 | + | 23.3102i | 0.483199 | + | 0.859811i | ||||
\(736\) | −8.87353 | − | 35.2834i | −0.327083 | − | 1.30056i | ||||
\(737\) | 7.47882 | + | 10.2937i | 0.275486 | + | 0.379174i | ||||
\(738\) | 3.53728 | + | 5.46657i | 0.130209 | + | 0.201227i | ||||
\(739\) | −13.1867 | + | 18.1499i | −0.485081 | + | 0.667656i | −0.979471 | − | 0.201584i | \(-0.935391\pi\) |
0.494391 | + | 0.869240i | \(0.335391\pi\) | |||||||
\(740\) | 12.2503 | − | 13.1096i | 0.450332 | − | 0.481919i | ||||
\(741\) | −35.1167 | + | 27.8743i | −1.29004 | + | 1.02399i | ||||
\(742\) | −0.145612 | + | 0.298859i | −0.00534560 | + | 0.0109715i | ||||
\(743\) | −45.8197 | −1.68096 | −0.840480 | − | 0.541842i | \(-0.817727\pi\) | ||||
−0.840480 | + | 0.541842i | \(0.817727\pi\) | |||||||
\(744\) | −18.7851 | + | 22.7973i | −0.688695 | + | 0.835790i | ||||
\(745\) | 22.8736 | − | 3.57943i | 0.838023 | − | 0.131140i | ||||
\(746\) | −0.779195 | − | 4.40853i | −0.0285283 | − | 0.161408i | ||||
\(747\) | −2.99258 | − | 7.09046i | −0.109493 | − | 0.259426i | ||||
\(748\) | 13.5380 | − | 10.5949i | 0.495000 | − | 0.387386i | ||||
\(749\) | − | 0.0952894i | − | 0.00348180i | ||||||
\(750\) | 1.50317 | + | 27.3448i | 0.0548878 | + | 0.998493i | ||||
\(751\) | 12.7397i | 0.464880i | 0.972611 | + | 0.232440i | \(0.0746709\pi\) | ||||
−0.972611 | + | 0.232440i | \(0.925329\pi\) | |||||||
\(752\) | 10.6840 | + | 26.3202i | 0.389604 | + | 0.959798i | ||||
\(753\) | 43.5848 | − | 16.2448i | 1.58832 | − | 0.591992i | ||||
\(754\) | −44.6331 | + | 7.88876i | −1.62544 | + | 0.287292i | ||||
\(755\) | −42.6553 | + | 6.67502i | −1.55239 | + | 0.242929i | ||||
\(756\) | −1.44332 | + | 2.87854i | −0.0524930 | + | 0.104691i | ||||
\(757\) | 8.77358 | 0.318881 | 0.159441 | − | 0.987208i | \(-0.449031\pi\) | ||||
0.159441 | + | 0.987208i | \(0.449031\pi\) | |||||||
\(758\) | 22.2562 | + | 10.8439i | 0.808382 | + | 0.393867i | ||||
\(759\) | 13.1539 | + | 16.5716i | 0.477456 | + | 0.601509i | ||||
\(760\) | 21.9453 | + | 27.1351i | 0.796041 | + | 0.984293i | ||||
\(761\) | −19.8575 | + | 27.3316i | −0.719836 | + | 0.990769i | 0.279694 | + | 0.960089i | \(0.409767\pi\) |
−0.999529 | + | 0.0306793i | \(0.990233\pi\) | |||||||
\(762\) | 28.9646 | − | 17.0373i | 1.04928 | − | 0.617198i | ||||
\(763\) | −1.60743 | − | 2.21243i | −0.0581928 | − | 0.0800955i | ||||
\(764\) | 6.50314 | + | 8.30968i | 0.235275 | + | 0.300634i | ||||
\(765\) | 15.9872 | + | 25.8083i | 0.578018 | + | 0.933103i | ||||
\(766\) | 26.6321 | − | 14.1745i | 0.962258 | − | 0.512145i | ||||
\(767\) | 19.8136 | − | 60.9799i | 0.715427 | − | 2.20186i | ||||
\(768\) | −24.3249 | + | 13.2778i | −0.877749 | + | 0.479121i | ||||
\(769\) | −5.09067 | + | 15.6675i | −0.183574 | + | 0.564984i | −0.999921 | − | 0.0125785i | \(-0.995996\pi\) |
0.816346 | + | 0.577563i | \(0.195996\pi\) | |||||||
\(770\) | 0.603348 | + | 1.76050i | 0.0217431 | + | 0.0634441i | ||||
\(771\) | −2.34703 | − | 6.29709i | −0.0845262 | − | 0.226784i | ||||
\(772\) | 0.187107 | + | 5.23571i | 0.00673412 | + | 0.188437i | ||||
\(773\) | −8.59165 | + | 11.8254i | −0.309020 | + | 0.425330i | −0.935075 | − | 0.354449i | \(-0.884668\pi\) |
0.626055 | + | 0.779779i | \(0.284668\pi\) | |||||||
\(774\) | 0.860982 | − | 15.9278i | 0.0309474 | − | 0.572513i | ||||
\(775\) | −30.1487 | − | 0.111618i | −1.08297 | − | 0.00400945i | ||||
\(776\) | 32.4639 | + | 14.4063i | 1.16538 | + | 0.517157i | ||||
\(777\) | 1.79432 | + | 1.19028i | 0.0643708 | + | 0.0427011i | ||||
\(778\) | 10.5107 | − | 1.85773i | 0.376826 | − | 0.0666028i | ||||
\(779\) | 2.61689 | + | 8.05395i | 0.0937597 | + | 0.288563i | ||||
\(780\) | 13.9749 | − | 33.5426i | 0.500380 | − | 1.20102i | ||||
\(781\) | 1.42512 | − | 4.38608i | 0.0509950 | − | 0.156946i | ||||
\(782\) | 5.71218 | − | 40.7648i | 0.204267 | − | 1.45775i | ||||
\(783\) | 6.57665 | − | 34.8853i | 0.235030 | − | 1.24670i | ||||
\(784\) | −27.5455 | + | 1.97129i | −0.983768 | + | 0.0704030i | ||||
\(785\) | −1.74214 | − | 11.1328i | −0.0621797 | − | 0.397346i | ||||
\(786\) | −2.41080 | + | 2.72153i | −0.0859904 | + | 0.0970736i | ||||
\(787\) | −21.4329 | − | 29.4999i | −0.764002 | − | 1.05156i | −0.996871 | − | 0.0790499i | \(-0.974811\pi\) |
0.232869 | − | 0.972508i | \(-0.425189\pi\) | |||||||
\(788\) | −15.7425 | − | 43.1427i | −0.560802 | − | 1.53689i | ||||
\(789\) | −13.3411 | + | 20.1113i | −0.474954 | + | 0.715982i | ||||
\(790\) | 1.76955 | − | 5.75818i | 0.0629577 | − | 0.204867i | ||||
\(791\) | 2.27508 | − | 1.65294i | 0.0808926 | − | 0.0587719i | ||||
\(792\) | 9.70951 | − | 12.8628i | 0.345012 | − | 0.457059i | ||||
\(793\) | 44.4621 | 1.57889 | ||||||||
\(794\) | −16.7867 | + | 34.4535i | −0.595738 | + | 1.22271i | ||||
\(795\) | 2.16060 | + | 1.99128i | 0.0766284 | + | 0.0706236i | ||||
\(796\) | −13.2395 | + | 0.473134i | −0.469261 | + | 0.0167698i | ||||
\(797\) | −36.5460 | + | 11.8745i | −1.29452 | + | 0.420617i | −0.873673 | − | 0.486513i | \(-0.838269\pi\) |
−0.420852 | + | 0.907130i | \(0.638269\pi\) | |||||||
\(798\) | −2.77703 | + | 3.13496i | −0.0983058 | + | 0.110976i | ||||
\(799\) | 32.1387i | 1.13699i | ||||||||
\(800\) | −26.2070 | − | 10.6391i | −0.926559 | − | 0.376150i | ||||
\(801\) | −2.29702 | − | 26.8899i | −0.0811612 | − | 0.950109i | ||||
\(802\) | −15.1517 | + | 15.7029i | −0.535026 | + | 0.554488i | ||||
\(803\) | −5.51552 | − | 16.9750i | −0.194638 | − | 0.599035i | ||||
\(804\) | −1.81591 | − | 23.1356i | −0.0640423 | − | 0.815928i | ||||
\(805\) | 3.96669 | + | 2.03039i | 0.139807 | + | 0.0715618i | ||||
\(806\) | 35.9617 | + | 17.5215i | 1.26670 | + | 0.617170i | ||||
\(807\) | 24.8426 | − | 1.05914i | 0.874501 | − | 0.0372834i | ||||
\(808\) | −18.4144 | − | 16.5397i | −0.647817 | − | 0.581865i | ||||
\(809\) | 7.99200 | + | 11.0000i | 0.280984 | + | 0.386741i | 0.926059 | − | 0.377378i | \(-0.123174\pi\) |
−0.645076 | + | 0.764119i | \(0.723174\pi\) | |||||||
\(810\) | 20.7068 | + | 19.5251i | 0.727561 | + | 0.686043i | ||||
\(811\) | 8.66202 | − | 11.9222i | 0.304164 | − | 0.418647i | −0.629386 | − | 0.777093i | \(-0.716693\pi\) |
0.933550 | + | 0.358446i | \(0.116693\pi\) | |||||||
\(812\) | −3.97732 | + | 1.45130i | −0.139577 | + | 0.0509306i | ||||
\(813\) | 2.05851 | − | 1.63397i | 0.0721952 | − | 0.0573059i | ||||
\(814\) | −7.75495 | − | 7.48276i | −0.271811 | − | 0.262271i | ||||
\(815\) | −16.6678 | + | 16.6062i | −0.583846 | + | 0.581689i | ||||
\(816\) | −31.1508 | + | 3.56826i | −1.09050 | + | 0.124914i | ||||
\(817\) | 6.41082 | − | 19.7305i | 0.224286 | − | 0.690282i | ||||
\(818\) | 40.8551 | + | 5.72484i | 1.42846 | + | 0.200164i | ||||
\(819\) | 4.24693 | + | 0.989657i | 0.148400 | + | 0.0345814i | ||||
\(820\) | −5.01473 | − | 4.68603i | −0.175122 | − | 0.163643i | ||||
\(821\) | −10.5257 | + | 3.41999i | −0.367348 | + | 0.119359i | −0.486873 | − | 0.873473i | \(-0.661863\pi\) |
0.119525 | + | 0.992831i | \(0.461863\pi\) | |||||||
\(822\) | 9.61446 | + | 43.4952i | 0.335343 | + | 1.51707i | ||||
\(823\) | 5.33155 | − | 7.33825i | 0.185846 | − | 0.255795i | −0.705920 | − | 0.708291i | \(-0.749466\pi\) |
0.891766 | + | 0.452496i | \(0.149466\pi\) | |||||||
\(824\) | −5.35752 | + | 12.0729i | −0.186638 | + | 0.420579i | ||||
\(825\) | 16.4359 | − | 0.639775i | 0.572224 | − | 0.0222741i | ||||
\(826\) | 0.831137 | − | 5.93138i | 0.0289190 | − | 0.206379i | ||||
\(827\) | −26.1938 | − | 19.0309i | −0.910848 | − | 0.661770i | 0.0303815 | − | 0.999538i | \(-0.490328\pi\) |
−0.941229 | + | 0.337769i | \(0.890328\pi\) | |||||||
\(828\) | −4.65550 | − | 38.3072i | −0.161790 | − | 1.33127i | ||||
\(829\) | 3.91174 | + | 12.0391i | 0.135860 | + | 0.418135i | 0.995723 | − | 0.0923906i | \(-0.0294509\pi\) |
−0.859863 | + | 0.510526i | \(0.829451\pi\) | |||||||
\(830\) | 4.87281 | + | 6.48590i | 0.169138 | + | 0.225129i | ||||
\(831\) | −21.5218 | − | 5.99230i | −0.746584 | − | 0.207870i | ||||
\(832\) | 25.1799 | + | 27.8280i | 0.872956 | + | 0.964763i | ||||
\(833\) | −29.7157 | − | 9.65521i | −1.02959 | − | 0.334533i | ||||
\(834\) | −23.4493 | + | 13.7932i | −0.811982 | + | 0.477618i | ||||
\(835\) | 11.0746 | + | 1.77507i | 0.383253 | + | 0.0614288i | ||||
\(836\) | 16.5065 | − | 12.9179i | 0.570889 | − | 0.446777i | ||||
\(837\) | −22.7934 | + | 21.4973i | −0.787855 | + | 0.743055i | ||||
\(838\) | −35.9518 | + | 19.1347i | −1.24194 | + | 0.660998i | ||||
\(839\) | −14.5164 | − | 10.5468i | −0.501162 | − | 0.364115i | 0.308299 | − | 0.951290i | \(-0.400240\pi\) |
−0.809461 | + | 0.587174i | \(0.800240\pi\) | |||||||
\(840\) | 0.740141 | − | 3.31262i | 0.0255373 | − | 0.114296i | ||||
\(841\) | 14.2998 | − | 10.3894i | 0.493095 | − | 0.358255i | ||||
\(842\) | 14.0832 | − | 28.9047i | 0.485338 | − | 0.996121i | ||||
\(843\) | 44.1771 | − | 1.88344i | 1.52154 | − | 0.0648692i | ||||
\(844\) | −27.4094 | − | 18.4554i | −0.943472 | − | 0.635262i | ||||
\(845\) | −19.8857 | − | 3.18733i | −0.684088 | − | 0.109647i | ||||
\(846\) | 7.75016 | + | 29.1152i | 0.266456 | + | 1.00100i | ||||
\(847\) | −2.17856 | + | 0.707856i | −0.0748561 | + | 0.0243222i | ||||
\(848\) | −2.81180 | + | 1.14137i | −0.0965575 | + | 0.0391949i | ||||
\(849\) | −4.59149 | + | 0.195753i | −0.157580 | + | 0.00671823i | ||||
\(850\) | −22.9463 | − | 22.3055i | −0.787050 | − | 0.765073i | ||||
\(851\) | −25.8037 | −0.884538 | ||||||||
\(852\) | −6.39725 | + | 5.46144i | −0.219166 | + | 0.187106i | ||||
\(853\) | −10.0268 | − | 30.8594i | −0.343312 | − | 1.05661i | −0.962481 | − | 0.271349i | \(-0.912530\pi\) |
0.619169 | − | 0.785258i | \(-0.287470\pi\) | |||||||
\(854\) | 4.08985 | − | 0.722869i | 0.139952 | − | 0.0247361i | ||||
\(855\) | 19.4926 | + | 31.4672i | 0.666634 | + | 1.07616i | ||||
\(856\) | 0.581233 | − | 0.647114i | 0.0198661 | − | 0.0221179i | ||||
\(857\) | − | 43.8230i | − | 1.49696i | −0.663155 | − | 0.748482i | \(-0.730783\pi\) | ||
0.663155 | − | 0.748482i | \(-0.269217\pi\) | |||||||
\(858\) | −20.0090 | − | 8.71485i | −0.683095 | − | 0.297520i | ||||
\(859\) | 8.76835 | + | 12.0686i | 0.299172 | + | 0.411775i | 0.931966 | − | 0.362545i | \(-0.118092\pi\) |
−0.632794 | + | 0.774320i | \(0.718092\pi\) | |||||||
\(860\) | 3.19114 | + | 16.5083i | 0.108817 | + | 0.562928i | ||||
\(861\) | 0.455309 | − | 0.686367i | 0.0155169 | − | 0.0233913i | ||||
\(862\) | −20.1504 | + | 10.7247i | −0.686325 | + | 0.365284i | ||||
\(863\) | −23.2931 | + | 16.9234i | −0.792905 | + | 0.576079i | −0.908824 | − | 0.417180i | \(-0.863019\pi\) |
0.115919 | + | 0.993259i | \(0.463019\pi\) | |||||||
\(864\) | −27.3598 | + | 10.7445i | −0.930798 | + | 0.365535i | ||||
\(865\) | −24.6630 | − | 12.6240i | −0.838567 | − | 0.429228i | ||||
\(866\) | 15.9074 | − | 8.46645i | 0.540557 | − | 0.287702i | ||||
\(867\) | −5.80890 | − | 1.61737i | −0.197281 | − | 0.0549286i | ||||
\(868\) | 3.59281 | + | 1.02705i | 0.121948 | + | 0.0348605i | ||||
\(869\) | −3.44095 | − | 1.11803i | −0.116726 | − | 0.0379267i | ||||
\(870\) | 2.19222 | + | 37.3558i | 0.0743234 | + | 1.26648i | ||||
\(871\) | −29.8887 | + | 9.71141i | −1.01274 | + | 0.329059i | ||||
\(872\) | 2.57901 | − | 24.8295i | 0.0873361 | − | 0.840833i | ||||
\(873\) | 32.2507 | + | 19.4683i | 1.09152 | + | 0.658902i | ||||
\(874\) | 6.96467 | − | 49.7031i | 0.235583 | − | 1.68123i | ||||
\(875\) | 3.09539 | − | 1.55559i | 0.104643 | − | 0.0525886i | ||||
\(876\) | −7.60622 | + | 31.6528i | −0.256990 | + | 1.06945i | ||||
\(877\) | −32.0411 | − | 23.2792i | −1.08195 | − | 0.786084i | −0.103930 | − | 0.994585i | \(-0.533142\pi\) |
−0.978022 | + | 0.208500i | \(0.933142\pi\) | |||||||
\(878\) | −0.0235191 | + | 0.00415693i | −0.000793732 | + | 0.000140290i | ||||
\(879\) | 15.5810 | + | 41.8040i | 0.525535 | + | 1.41001i | ||||
\(880\) | −6.64111 | + | 15.6358i | −0.223872 | + | 0.527084i | ||||
\(881\) | −24.6902 | − | 8.02233i | −0.831834 | − | 0.270279i | −0.138016 | − | 0.990430i | \(-0.544073\pi\) |
−0.693818 | + | 0.720151i | \(0.744073\pi\) | |||||||
\(882\) | −29.2484 | − | 1.58103i | −0.984846 | − | 0.0532362i | ||||
\(883\) | 13.9447 | + | 4.53091i | 0.469277 | + | 0.152477i | 0.534103 | − | 0.845419i | \(-0.320649\pi\) |
−0.0648264 | + | 0.997897i | \(0.520649\pi\) | |||||||
\(884\) | 14.5549 | + | 39.8881i | 0.489534 | + | 1.34158i | ||||
\(885\) | −48.1061 | − | 22.0906i | −1.61707 | − | 0.742566i | ||||
\(886\) | −13.5748 | − | 13.0983i | −0.456053 | − | 0.440047i | ||||
\(887\) | 9.03957 | − | 6.56763i | 0.303519 | − | 0.220519i | −0.425592 | − | 0.904915i | \(-0.639934\pi\) |
0.729111 | + | 0.684396i | \(0.239934\pi\) | |||||||
\(888\) | 4.92498 | + | 19.0280i | 0.165271 | + | 0.638538i | ||||
\(889\) | −3.43899 | − | 2.49857i | −0.115340 | − | 0.0837994i | ||||
\(890\) | 9.22283 | + | 26.9112i | 0.309150 | + | 0.902065i | ||||
\(891\) | 11.9245 | − | 12.2473i | 0.399487 | − | 0.410301i | ||||
\(892\) | 34.0420 | + | 22.9213i | 1.13981 | + | 0.767462i | ||||
\(893\) | 39.1857i | 1.31130i | ||||||||
\(894\) | −10.1273 | + | 23.2519i | −0.338708 | + | 0.777661i | ||||
\(895\) | −43.0957 | + | 21.8580i | −1.44053 | + | 0.730632i | ||||
\(896\) | 2.76861 | + | 2.15039i | 0.0924927 | + | 0.0718394i | ||||
\(897\) | −48.9671 | + | 18.2509i | −1.63497 | + | 0.609379i | ||||
\(898\) | −33.4891 | + | 34.7072i | −1.11754 | + | 1.15820i | ||||
\(899\) | −41.1951 | −1.37393 | ||||||||
\(900\) | −26.1665 | − | 14.6737i | −0.872215 | − | 0.489122i | ||||
\(901\) | −3.43340 | −0.114383 | ||||||||
\(902\) | −2.86233 | + | 2.96644i | −0.0953050 | + | 0.0987717i | ||||
\(903\) | −1.89072 | + | 0.704703i | −0.0629192 | + | 0.0234511i | ||||
\(904\) | 25.5326 | + | 2.65203i | 0.849201 | + | 0.0882054i | ||||
\(905\) | −48.4774 | − | 7.77009i | −1.61144 | − | 0.258286i | ||||
\(906\) | 18.8857 | − | 43.3609i | 0.627436 | − | 1.44057i | ||||
\(907\) | − | 17.1714i | − | 0.570166i | −0.958503 | − | 0.285083i | \(-0.907979\pi\) | ||
0.958503 | − | 0.285083i | \(-0.0920212\pi\) | |||||||
\(908\) | −13.6339 | + | 20.2486i | −0.452456 | + | 0.671974i | ||||
\(909\) | −17.1830 | − | 19.8489i | −0.569925 | − | 0.658345i | ||||
\(910\) | −4.59601 | + | 0.0735865i | −0.152356 | + | 0.00243937i | ||||
\(911\) | 17.8851 | + | 12.9943i | 0.592561 | + | 0.430521i | 0.843231 | − | 0.537552i | \(-0.180651\pi\) |
−0.250670 | + | 0.968073i | \(0.580651\pi\) | |||||||
\(912\) | −37.9811 | + | 4.35066i | −1.25768 | + | 0.144065i | ||||
\(913\) | 3.94184 | − | 2.86392i | 0.130456 | − | 0.0947818i | ||||
\(914\) | 32.2018 | + | 31.0716i | 1.06514 | + | 1.02776i | ||||
\(915\) | 4.26032 | − | 36.4597i | 0.140842 | − | 1.20532i | ||||
\(916\) | −5.90430 | + | 2.15444i | −0.195084 | + | 0.0711847i | ||||
\(917\) | 0.437405 | + | 0.142122i | 0.0144444 | + | 0.00469327i | ||||
\(918\) | −33.2543 | − | 0.378938i | −1.09756 | − | 0.0125068i | ||||
\(919\) | −38.5896 | − | 12.5385i | −1.27295 | − | 0.413608i | −0.406861 | − | 0.913490i | \(-0.633377\pi\) |
−0.866093 | + | 0.499882i | \(0.833377\pi\) | |||||||
\(920\) | 14.5533 | + | 37.9839i | 0.479807 | + | 1.25229i | ||||
\(921\) | 7.53690 | + | 20.2215i | 0.248349 | + | 0.666322i | ||||
\(922\) | 16.8216 | − | 2.97316i | 0.553989 | − | 0.0979159i | ||||
\(923\) | 9.21539 | + | 6.69537i | 0.303328 | + | 0.220381i | ||||
\(924\) | −1.98222 | − | 0.476329i | −0.0652101 | − | 0.0156701i | ||||
\(925\) | −11.8512 | + | 16.1854i | −0.389664 | + | 0.532172i | ||||
\(926\) | −6.86266 | + | 48.9752i | −0.225521 | + | 1.60942i | ||||
\(927\) | −7.24000 | + | 11.9936i | −0.237793 | + | 0.393922i | ||||
\(928\) | −35.8626 | − | 14.4045i | −1.17725 | − | 0.472851i | ||||
\(929\) | 42.0578 | − | 13.6654i | 1.37987 | − | 0.448347i | 0.477243 | − | 0.878771i | \(-0.341636\pi\) |
0.902627 | + | 0.430424i | \(0.141636\pi\) | |||||||
\(930\) | 17.8138 | − | 27.8103i | 0.584138 | − | 0.911937i | ||||
\(931\) | −36.2313 | − | 11.7723i | −1.18743 | − | 0.385821i | ||||
\(932\) | −5.12450 | + | 17.9264i | −0.167859 | + | 0.587198i | ||||
\(933\) | −13.3423 | − | 3.71489i | −0.436809 | − | 0.121620i | ||||
\(934\) | 15.4738 | − | 8.23564i | 0.506318 | − | 0.269478i | ||||
\(935\) | −13.6158 | + | 13.5655i | −0.445284 | + | 0.443638i | ||||
\(936\) | 22.8045 | + | 32.6257i | 0.745388 | + | 1.06640i | ||||
\(937\) | 22.1347 | − | 16.0818i | 0.723109 | − | 0.525370i | −0.164267 | − | 0.986416i | \(-0.552526\pi\) |
0.887376 | + | 0.461046i | \(0.152526\pi\) | |||||||
\(938\) | −2.59142 | + | 1.37924i | −0.0846130 | + | 0.0450337i | ||||
\(939\) | 21.4376 | − | 32.3166i | 0.699589 | − | 1.05461i | ||||
\(940\) | −15.3682 | − | 27.7928i | −0.501255 | − | 0.906503i | ||||
\(941\) | −3.51780 | − | 4.84184i | −0.114677 | − | 0.157839i | 0.747820 | − | 0.663902i | \(-0.231101\pi\) |
−0.862497 | + | 0.506062i | \(0.831101\pi\) | |||||||
\(942\) | 11.3169 | + | 4.92906i | 0.368726 | + | 0.160598i | ||||
\(943\) | 9.87048i | 0.321427i | ||||||||
\(944\) | 41.8237 | − | 35.2106i | 1.36125 | − | 1.14601i | ||||
\(945\) | 1.21848 | − | 3.38774i | 0.0396370 | − | 0.110203i | ||||
\(946\) | 9.94443 | − | 1.75765i | 0.323321 | − | 0.0571461i | ||||
\(947\) | 14.6379 | + | 45.0508i | 0.475667 | + | 1.46395i | 0.845055 | + | 0.534679i | \(0.179567\pi\) |
−0.369388 | + | 0.929275i | \(0.620433\pi\) | |||||||
\(948\) | 4.28459 | + | 5.01875i | 0.139157 | + | 0.163001i | ||||
\(949\) | 44.0849 | 1.43106 | ||||||||
\(950\) | −27.9776 | − | 27.1964i | −0.907713 | − | 0.882367i | ||||
\(951\) | 29.6851 | − | 1.26559i | 0.962604 | − | 0.0410396i | ||||
\(952\) | 1.98734 | + | 3.43248i | 0.0644100 | + | 0.111247i | ||||
\(953\) | −6.80158 | + | 2.20997i | −0.220325 | + | 0.0715879i | −0.417099 | − | 0.908861i | \(-0.636953\pi\) |
0.196775 | + | 0.980449i | \(0.436953\pi\) | |||||||
\(954\) | −3.11039 | + | 0.827953i | −0.100703 | + | 0.0268060i | ||||
\(955\) | −8.32652 | − | 8.35740i | −0.269440 | − | 0.270439i | ||||
\(956\) | −25.6572 | + | 38.1053i | −0.829813 | + | 1.23241i | ||||
\(957\) | 22.4544 | − | 0.957319i | 0.725848 | − | 0.0309457i | ||||
\(958\) | −0.645548 | + | 1.32494i | −0.0208567 | + | 0.0428068i | ||||
\(959\) | 4.55871 | − | 3.31210i | 0.147208 | − | 0.106953i | ||||
\(960\) | 25.2322 | − | 17.9815i | 0.814366 | − | 0.580351i | ||||
\(961\) | 4.33488 | + | 3.14947i | 0.139835 | + | 0.101596i | ||||
\(962\) | 23.4964 | − | 12.5055i | 0.757553 | − | 0.403194i | ||||
\(963\) | 0.697523 | − | 0.603841i | 0.0224774 | − | 0.0194585i | ||||
\(964\) | −9.90272 | − | 12.6536i | −0.318945 | − | 0.407546i | ||||
\(965\) | −0.905594 | − | 5.78701i | −0.0291521 | − | 0.186290i | ||||
\(966\) | −4.20753 | + | 2.47492i | −0.135375 | + | 0.0796294i | ||||
\(967\) | −4.85611 | − | 1.57785i | −0.156162 | − | 0.0507401i | 0.229893 | − | 0.973216i | \(-0.426162\pi\) |
−0.386055 | + | 0.922476i | \(0.626162\pi\) | |||||||
\(968\) | −19.1123 | − | 8.48139i | −0.614294 | − | 0.272602i | ||||
\(969\) | −41.6682 | − | 11.6016i | −1.33857 | − | 0.372698i | ||||
\(970\) | −37.9571 | − | 11.6646i | −1.21873 | − | 0.374528i | ||||
\(971\) | 8.02856 | + | 24.7094i | 0.257649 | + | 0.792961i | 0.993296 | + | 0.115597i | \(0.0368780\pi\) |
−0.735647 | + | 0.677365i | \(0.763122\pi\) | |||||||
\(972\) | −30.2172 | + | 7.67588i | −0.969218 | + | 0.246204i | ||||
\(973\) | 2.78415 | + | 2.02280i | 0.0892557 | + | 0.0648481i | ||||
\(974\) | 5.21163 | − | 37.1926i | 0.166991 | − | 1.19173i | ||||
\(975\) | −11.0419 | + | 39.0970i | −0.353623 | + | 1.25211i | ||||
\(976\) | 32.1836 | + | 20.0377i | 1.03017 | + | 0.641391i | ||||
\(977\) | 7.53705 | − | 10.3739i | 0.241131 | − | 0.331889i | −0.671249 | − | 0.741232i | \(-0.734242\pi\) |
0.912381 | + | 0.409343i | \(0.134242\pi\) | |||||||
\(978\) | −5.56295 | − | 25.1664i | −0.177884 | − | 0.804733i | ||||
\(979\) | 16.2497 | − | 5.27984i | 0.519342 | − | 0.168745i | ||||
\(980\) | 30.3144 | − | 5.85993i | 0.968358 | − | 0.187189i | ||||
\(981\) | 6.00899 | − | 25.7865i | 0.191852 | − | 0.823298i | ||||
\(982\) | 44.8078 | + | 6.27872i | 1.42988 | + | 0.200362i | ||||
\(983\) | −18.4095 | + | 56.6587i | −0.587173 | + | 1.80713i | 0.00319176 | + | 0.999995i | \(0.498984\pi\) |
−0.590364 | + | 0.807137i | \(0.701016\pi\) | |||||||
\(984\) | 7.27863 | − | 1.88391i | 0.232034 | − | 0.0600570i | ||||
\(985\) | 23.2258 | + | 45.7925i | 0.740035 | + | 1.45907i | ||||
\(986\) | −31.4661 | − | 30.3617i | −1.00209 | − | 0.966915i | ||||
\(987\) | 2.98516 | − | 2.36951i | 0.0950188 | − | 0.0754224i | ||||
\(988\) | 17.7463 | + | 48.6342i | 0.564585 | + | 1.54726i | ||||
\(989\) | 14.2130 | − | 19.5625i | 0.451947 | − | 0.622051i | ||||
\(990\) | −9.06359 | + | 15.5727i | −0.288060 | + | 0.494932i | ||||
\(991\) | −4.61149 | − | 6.34717i | −0.146489 | − | 0.201625i | 0.729467 | − | 0.684016i | \(-0.239768\pi\) |
−0.875956 | + | 0.482392i | \(0.839768\pi\) | |||||||
\(992\) | 18.1342 | + | 28.8897i | 0.575762 | + | 0.917248i | ||||
\(993\) | −61.8576 | + | 2.63723i | −1.96299 | + | 0.0836900i | ||||
\(994\) | 0.956534 | + | 0.466050i | 0.0303394 | + | 0.0147822i | ||||
\(995\) | 14.6335 | − | 2.28996i | 0.463914 | − | 0.0725968i | ||||
\(996\) | −8.85946 | + | 0.695380i | −0.280723 | + | 0.0220340i | ||||
\(997\) | −6.23739 | − | 19.1967i | −0.197540 | − | 0.607966i | −0.999938 | − | 0.0111757i | \(-0.996443\pi\) |
0.802398 | − | 0.596790i | \(-0.203557\pi\) | |||||||
\(998\) | −21.6342 | + | 22.4212i | −0.684819 | + | 0.709729i | ||||
\(999\) | 2.65754 | + | 20.6772i | 0.0840808 | + | 0.654198i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 300.2.n.a.191.14 | yes | 224 | |
3.2 | odd | 2 | inner | 300.2.n.a.191.43 | yes | 224 | |
4.3 | odd | 2 | inner | 300.2.n.a.191.48 | yes | 224 | |
12.11 | even | 2 | inner | 300.2.n.a.191.9 | yes | 224 | |
25.11 | even | 5 | inner | 300.2.n.a.11.9 | ✓ | 224 | |
75.11 | odd | 10 | inner | 300.2.n.a.11.48 | yes | 224 | |
100.11 | odd | 10 | inner | 300.2.n.a.11.43 | yes | 224 | |
300.11 | even | 10 | inner | 300.2.n.a.11.14 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
300.2.n.a.11.9 | ✓ | 224 | 25.11 | even | 5 | inner | |
300.2.n.a.11.14 | yes | 224 | 300.11 | even | 10 | inner | |
300.2.n.a.11.43 | yes | 224 | 100.11 | odd | 10 | inner | |
300.2.n.a.11.48 | yes | 224 | 75.11 | odd | 10 | inner | |
300.2.n.a.191.9 | yes | 224 | 12.11 | even | 2 | inner | |
300.2.n.a.191.14 | yes | 224 | 1.1 | even | 1 | trivial | |
300.2.n.a.191.43 | yes | 224 | 3.2 | odd | 2 | inner | |
300.2.n.a.191.48 | yes | 224 | 4.3 | odd | 2 | inner |