Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [384,2,Mod(11,384)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(384, base_ring=CyclotomicField(32))
chi = DirichletCharacter(H, H._module([16, 21, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("384.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 384 = 2^{7} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 384.w (of order \(32\), degree \(16\), 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: | \(3.06625543762\) |
Analytic rank: | \(0\) |
Dimension: | \(992\) |
Relative dimension: | \(62\) over \(\Q(\zeta_{32})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{32}]$ |
Embedding invariants
Embedding label | 251.17 | ||
Character | \(\chi\) | \(=\) | 384.251 |
Dual form | 384.2.w.a.179.17 |
$q$-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 \(\left(\mathbb{Z}/384\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(133\) | \(257\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{32}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.879716 | + | 1.10729i | −0.622053 | + | 0.782975i | ||||
\(3\) | 1.68380 | + | 0.405958i | 0.972145 | + | 0.234380i | ||||
\(4\) | −0.452199 | − | 1.94821i | −0.226100 | − | 0.974104i | ||||
\(5\) | −0.324308 | + | 3.29275i | −0.145035 | + | 1.47256i | 0.597021 | + | 0.802226i | \(0.296351\pi\) |
−0.742056 | + | 0.670338i | \(0.766149\pi\) | |||||||
\(6\) | −1.93078 | + | 1.50734i | −0.788240 | + | 0.615368i | ||||
\(7\) | −3.28633 | + | 2.19586i | −1.24212 | + | 0.829956i | −0.990452 | − | 0.137858i | \(-0.955978\pi\) |
−0.251665 | + | 0.967814i | \(0.580978\pi\) | |||||||
\(8\) | 2.55505 | + | 1.21315i | 0.903345 | + | 0.428914i | ||||
\(9\) | 2.67040 | + | 1.36711i | 0.890132 | + | 0.455703i | ||||
\(10\) | −3.36075 | − | 3.25579i | −1.06276 | − | 1.02957i | ||||
\(11\) | −0.281020 | + | 0.525751i | −0.0847307 | + | 0.158520i | −0.920718 | − | 0.390229i | \(-0.872396\pi\) |
0.835987 | + | 0.548749i | \(0.184896\pi\) | |||||||
\(12\) | 0.0294756 | − | 3.46398i | 0.00850888 | − | 0.999964i | ||||
\(13\) | −0.187953 | − | 1.90832i | −0.0521289 | − | 0.529273i | −0.985418 | − | 0.170149i | \(-0.945575\pi\) |
0.933290 | − | 0.359125i | \(-0.116925\pi\) | |||||||
\(14\) | 0.459581 | − | 5.57067i | 0.122828 | − | 1.48882i | ||||
\(15\) | −1.88279 | + | 5.41270i | −0.486134 | + | 1.39755i | ||||
\(16\) | −3.59103 | + | 1.76196i | −0.897758 | + | 0.440489i | ||||
\(17\) | −2.42180 | − | 5.84675i | −0.587374 | − | 1.41805i | −0.886004 | − | 0.463677i | \(-0.846530\pi\) |
0.298631 | − | 0.954369i | \(-0.403470\pi\) | |||||||
\(18\) | −3.86298 | + | 1.75425i | −0.910513 | + | 0.413480i | ||||
\(19\) | −1.15540 | − | 0.948208i | −0.265066 | − | 0.217534i | 0.492467 | − | 0.870331i | \(-0.336095\pi\) |
−0.757533 | + | 0.652797i | \(0.773595\pi\) | |||||||
\(20\) | 6.56162 | − | 0.857161i | 1.46722 | − | 0.191667i | ||||
\(21\) | −6.42497 | + | 2.36328i | −1.40204 | + | 0.515711i | ||||
\(22\) | −0.334943 | − | 0.773683i | −0.0714101 | − | 0.164950i | ||||
\(23\) | 1.22716 | + | 6.16936i | 0.255881 | + | 1.28640i | 0.868368 | + | 0.495920i | \(0.165169\pi\) |
−0.612487 | + | 0.790480i | \(0.709831\pi\) | |||||||
\(24\) | 3.80971 | + | 3.07995i | 0.777654 | + | 0.628693i | ||||
\(25\) | −5.83312 | − | 1.16028i | −1.16662 | − | 0.232056i | ||||
\(26\) | 2.27842 | + | 1.47066i | 0.446835 | + | 0.288421i | ||||
\(27\) | 3.94144 | + | 3.38601i | 0.758530 | + | 0.651638i | ||||
\(28\) | 5.76407 | + | 5.40950i | 1.08931 | + | 1.02230i | ||||
\(29\) | 3.15612 | + | 5.90468i | 0.586076 | + | 1.09647i | 0.983851 | + | 0.178988i | \(0.0572824\pi\) |
−0.397775 | + | 0.917483i | \(0.630218\pi\) | |||||||
\(30\) | −4.33712 | − | 6.84644i | −0.791847 | − | 1.24998i | ||||
\(31\) | −1.04469 | + | 1.04469i | −0.187632 | + | 0.187632i | −0.794671 | − | 0.607040i | \(-0.792357\pi\) |
0.607040 | + | 0.794671i | \(0.292357\pi\) | |||||||
\(32\) | 1.20808 | − | 5.52635i | 0.213561 | − | 0.976930i | ||||
\(33\) | −0.686615 | + | 0.771180i | −0.119524 | + | 0.134245i | ||||
\(34\) | 8.60457 | + | 2.46183i | 1.47567 | + | 0.422201i | ||||
\(35\) | −6.16463 | − | 11.5332i | −1.04201 | − | 1.94947i | ||||
\(36\) | 1.45586 | − | 5.82069i | 0.242643 | − | 0.970116i | ||||
\(37\) | 0.353476 | − | 0.290090i | 0.0581111 | − | 0.0476905i | −0.604889 | − | 0.796309i | \(-0.706783\pi\) |
0.663001 | + | 0.748619i | \(0.269283\pi\) | |||||||
\(38\) | 2.06637 | − | 0.445208i | 0.335209 | − | 0.0722223i | ||||
\(39\) | 0.458222 | − | 3.28954i | 0.0733742 | − | 0.526748i | ||||
\(40\) | −4.82323 | + | 8.01970i | −0.762620 | + | 1.26803i | ||||
\(41\) | 2.35149 | + | 11.8217i | 0.367240 | + | 1.84624i | 0.514962 | + | 0.857213i | \(0.327806\pi\) |
−0.147721 | + | 0.989029i | \(0.547194\pi\) | |||||||
\(42\) | 3.03530 | − | 9.19335i | 0.468357 | − | 1.41856i | ||||
\(43\) | 0.626022 | + | 2.06372i | 0.0954675 | + | 0.314714i | 0.991648 | − | 0.128976i | \(-0.0411690\pi\) |
−0.896180 | + | 0.443690i | \(0.853669\pi\) | |||||||
\(44\) | 1.15135 | + | 0.309741i | 0.173572 | + | 0.0466952i | ||||
\(45\) | −5.36758 | + | 8.34959i | −0.800151 | + | 1.24468i | ||||
\(46\) | −7.91085 | − | 4.06846i | −1.16639 | − | 0.599861i | ||||
\(47\) | 0.749553 | + | 1.80958i | 0.109333 | + | 0.263954i | 0.969071 | − | 0.246782i | \(-0.0793730\pi\) |
−0.859738 | + | 0.510736i | \(0.829373\pi\) | |||||||
\(48\) | −6.76188 | + | 1.50898i | −0.975993 | + | 0.217803i | ||||
\(49\) | 3.29941 | − | 7.96549i | 0.471345 | − | 1.13793i | ||||
\(50\) | 6.41626 | − | 5.43826i | 0.907396 | − | 0.769086i | ||||
\(51\) | −1.70431 | − | 10.8279i | −0.238651 | − | 1.51621i | ||||
\(52\) | −3.63282 | + | 1.22911i | −0.503781 | + | 0.170447i | ||||
\(53\) | 5.62217 | − | 10.5183i | 0.772265 | − | 1.44481i | −0.119752 | − | 0.992804i | \(-0.538210\pi\) |
0.892017 | − | 0.452003i | \(-0.149290\pi\) | |||||||
\(54\) | −7.21666 | + | 1.38560i | −0.982062 | + | 0.188556i | ||||
\(55\) | −1.64003 | − | 1.09583i | −0.221142 | − | 0.147762i | ||||
\(56\) | −11.0606 | + | 1.62369i | −1.47804 | + | 0.216975i | ||||
\(57\) | −1.56053 | − | 2.06564i | −0.206697 | − | 0.273601i | ||||
\(58\) | −9.31470 | − | 1.69969i | −1.22308 | − | 0.223180i | ||||
\(59\) | −0.520180 | + | 5.28148i | −0.0677217 | + | 0.687590i | 0.900054 | + | 0.435777i | \(0.143527\pi\) |
−0.967776 | + | 0.251812i | \(0.918973\pi\) | |||||||
\(60\) | 11.3965 | + | 1.22045i | 1.47128 | + | 0.157559i | ||||
\(61\) | 3.82602 | − | 12.6127i | 0.489871 | − | 1.61489i | −0.268648 | − | 0.963239i | \(-0.586577\pi\) |
0.758519 | − | 0.651651i | \(-0.225923\pi\) | |||||||
\(62\) | −0.237748 | − | 2.07581i | −0.0301940 | − | 0.263628i | ||||
\(63\) | −11.7778 | + | 1.37104i | −1.48386 | + | 0.172735i | ||||
\(64\) | 5.05652 | + | 6.19932i | 0.632065 | + | 0.774915i | ||||
\(65\) | 6.34459 | 0.786949 | ||||||||
\(66\) | −0.249896 | − | 1.43870i | −0.0307601 | − | 0.177092i | ||||
\(67\) | 4.28074 | + | 1.29855i | 0.522975 | + | 0.158643i | 0.540725 | − | 0.841200i | \(-0.318150\pi\) |
−0.0177493 | + | 0.999842i | \(0.505650\pi\) | |||||||
\(68\) | −10.2956 | + | 7.36208i | −1.24852 | + | 0.892783i | ||||
\(69\) | −0.438200 | + | 10.8862i | −0.0527531 | + | 1.31054i | ||||
\(70\) | 18.1938 | + | 3.31990i | 2.17457 | + | 0.396804i | ||||
\(71\) | −5.35095 | + | 3.57539i | −0.635041 | + | 0.424321i | −0.830985 | − | 0.556294i | \(-0.812223\pi\) |
0.195944 | + | 0.980615i | \(0.437223\pi\) | |||||||
\(72\) | 5.16447 | + | 6.73262i | 0.608639 | + | 0.793447i | ||||
\(73\) | 5.77379 | − | 8.64109i | 0.675771 | − | 1.01136i | −0.322136 | − | 0.946693i | \(-0.604401\pi\) |
0.997907 | − | 0.0646693i | \(-0.0205993\pi\) | |||||||
\(74\) | 0.0102566 | + | 0.646598i | 0.00119231 | + | 0.0751655i | ||||
\(75\) | −9.35080 | − | 4.32168i | −1.07974 | − | 0.499025i | ||||
\(76\) | −1.32484 | + | 2.67973i | −0.151969 | + | 0.307386i | ||||
\(77\) | −0.230950 | − | 2.34487i | −0.0263192 | − | 0.267223i | ||||
\(78\) | 3.23938 | + | 3.40125i | 0.366788 | + | 0.385116i | ||||
\(79\) | 11.1761 | + | 4.62928i | 1.25741 | + | 0.520835i | 0.909112 | − | 0.416551i | \(-0.136761\pi\) |
0.348294 | + | 0.937385i | \(0.386761\pi\) | |||||||
\(80\) | −4.63709 | − | 12.3958i | −0.518442 | − | 1.38589i | ||||
\(81\) | 5.26203 | + | 7.30144i | 0.584670 | + | 0.811271i | ||||
\(82\) | −15.1588 | − | 7.79597i | −1.67400 | − | 0.860921i | ||||
\(83\) | −2.60265 | − | 2.13594i | −0.285678 | − | 0.234450i | 0.480630 | − | 0.876924i | \(-0.340408\pi\) |
−0.766308 | + | 0.642474i | \(0.777908\pi\) | |||||||
\(84\) | 7.50953 | + | 11.4485i | 0.819357 | + | 1.24913i | ||||
\(85\) | 20.0373 | − | 6.07825i | 2.17335 | − | 0.659279i | ||||
\(86\) | −2.83587 | − | 1.12230i | −0.305799 | − | 0.121020i | ||||
\(87\) | 2.91723 | + | 11.2236i | 0.312760 | + | 1.20329i | ||||
\(88\) | −1.35584 | + | 1.00240i | −0.144532 | + | 0.106856i | ||||
\(89\) | 12.0484 | + | 2.39657i | 1.27712 | + | 0.254036i | 0.786639 | − | 0.617413i | \(-0.211819\pi\) |
0.490486 | + | 0.871449i | \(0.336819\pi\) | |||||||
\(90\) | −4.52350 | − | 13.2888i | −0.476819 | − | 1.40076i | ||||
\(91\) | 4.80808 | + | 5.85866i | 0.504024 | + | 0.614155i | ||||
\(92\) | 11.4643 | − | 5.18055i | 1.19523 | − | 0.540109i | ||||
\(93\) | −2.18315 | + | 1.33495i | −0.226382 | + | 0.138428i | ||||
\(94\) | −2.66313 | − | 0.761942i | −0.274681 | − | 0.0785883i | ||||
\(95\) | 3.49692 | − | 3.49692i | 0.358776 | − | 0.358776i | ||||
\(96\) | 4.27764 | − | 8.81486i | 0.436585 | − | 0.899663i | ||||
\(97\) | 5.23719 | + | 5.23719i | 0.531756 | + | 0.531756i | 0.921095 | − | 0.389339i | \(-0.127296\pi\) |
−0.389339 | + | 0.921095i | \(0.627296\pi\) | |||||||
\(98\) | 5.91759 | + | 10.6608i | 0.597767 | + | 1.07690i | ||||
\(99\) | −1.46919 | + | 1.01978i | −0.147659 | + | 0.102492i | ||||
\(100\) | 0.377265 | + | 11.8888i | 0.0377265 | + | 1.18888i | ||||
\(101\) | −7.30431 | + | 5.99449i | −0.726806 | + | 0.596474i | −0.923322 | − | 0.384026i | \(-0.874537\pi\) |
0.196516 | + | 0.980501i | \(0.437037\pi\) | |||||||
\(102\) | 13.4890 | + | 7.63834i | 1.33561 | + | 0.756309i | ||||
\(103\) | 1.49458 | − | 7.51375i | 0.147265 | − | 0.740352i | −0.834613 | − | 0.550837i | \(-0.814309\pi\) |
0.981878 | − | 0.189515i | \(-0.0606915\pi\) | |||||||
\(104\) | 1.83486 | − | 5.10387i | 0.179923 | − | 0.500475i | ||||
\(105\) | −5.69804 | − | 21.9223i | −0.556071 | − | 2.13939i | ||||
\(106\) | 6.70099 | + | 15.4786i | 0.650857 | + | 1.50341i | ||||
\(107\) | 1.71247 | + | 5.64524i | 0.165550 | + | 0.545746i | 0.999986 | − | 0.00535963i | \(-0.00170603\pi\) |
−0.834435 | + | 0.551106i | \(0.814206\pi\) | |||||||
\(108\) | 4.81434 | − | 9.20989i | 0.463260 | − | 0.886222i | ||||
\(109\) | −4.14592 | + | 5.05182i | −0.397108 | + | 0.483877i | −0.932727 | − | 0.360582i | \(-0.882578\pi\) |
0.535620 | + | 0.844459i | \(0.320078\pi\) | |||||||
\(110\) | 2.65617 | − | 0.851974i | 0.253256 | − | 0.0812325i | ||||
\(111\) | 0.712949 | − | 0.344959i | 0.0676701 | − | 0.0327420i | ||||
\(112\) | 7.93232 | − | 13.6758i | 0.749534 | − | 1.29224i | ||||
\(113\) | 5.45203 | − | 13.1624i | 0.512884 | − | 1.23821i | −0.429314 | − | 0.903155i | \(-0.641245\pi\) |
0.942198 | − | 0.335056i | \(-0.108755\pi\) | |||||||
\(114\) | 3.66009 | + | 0.0892144i | 0.342799 | + | 0.00835569i | ||||
\(115\) | −20.7121 | + | 2.03997i | −1.93142 | + | 0.190228i | ||||
\(116\) | 10.0763 | − | 8.81886i | 0.935565 | − | 0.818811i | ||||
\(117\) | 2.10697 | − | 5.35293i | 0.194790 | − | 0.494878i | ||||
\(118\) | −5.39053 | − | 5.22219i | −0.496239 | − | 0.480742i | ||||
\(119\) | 20.7975 | + | 13.8964i | 1.90650 | + | 1.27388i | ||||
\(120\) | −11.3770 | + | 11.5456i | −1.03858 | + | 1.05396i | ||||
\(121\) | 5.91383 | + | 8.85067i | 0.537621 | + | 0.804607i | ||||
\(122\) | 10.6001 | + | 15.3321i | 0.959692 | + | 1.38810i | ||||
\(123\) | −0.839678 | + | 20.8601i | −0.0757112 | + | 1.88089i | ||||
\(124\) | 2.50768 | + | 1.56286i | 0.225196 | + | 0.140349i | ||||
\(125\) | 0.909934 | − | 2.99965i | 0.0813870 | − | 0.268297i | ||||
\(126\) | 8.84297 | − | 14.2476i | 0.787794 | − | 1.26928i | ||||
\(127\) | − | 15.4496i | − | 1.37093i | −0.728104 | − | 0.685467i | \(-0.759598\pi\) | ||
0.728104 | − | 0.685467i | \(-0.240402\pi\) | |||||||
\(128\) | −11.3128 | + | 0.145410i | −0.999917 | + | 0.0128525i | ||||
\(129\) | 0.216316 | + | 3.72904i | 0.0190456 | + | 0.328324i | ||||
\(130\) | −5.58143 | + | 7.02532i | −0.489524 | + | 0.616161i | ||||
\(131\) | −17.9308 | − | 5.43925i | −1.56662 | − | 0.475230i | −0.616565 | − | 0.787304i | \(-0.711476\pi\) |
−0.950058 | + | 0.312075i | \(0.898976\pi\) | |||||||
\(132\) | 1.81291 | + | 0.988943i | 0.157793 | + | 0.0860764i | ||||
\(133\) | 5.87915 | + | 0.579045i | 0.509787 | + | 0.0502096i | ||||
\(134\) | −5.20371 | + | 3.59768i | −0.449532 | + | 0.310792i | ||||
\(135\) | −12.4275 | + | 11.8801i | −1.06959 | + | 1.02247i | ||||
\(136\) | 0.905183 | − | 17.8767i | 0.0776188 | − | 1.53292i | ||||
\(137\) | 6.76378 | − | 10.1227i | 0.577869 | − | 0.864842i | −0.421244 | − | 0.906947i | \(-0.638407\pi\) |
0.999113 | + | 0.0421053i | \(0.0134065\pi\) | |||||||
\(138\) | −11.6687 | − | 10.0620i | −0.993306 | − | 0.856531i | ||||
\(139\) | −7.55153 | − | 4.03638i | −0.640513 | − | 0.342361i | 0.118961 | − | 0.992899i | \(-0.462044\pi\) |
−0.759474 | + | 0.650538i | \(0.774544\pi\) | |||||||
\(140\) | −19.6815 | + | 17.2253i | −1.66339 | + | 1.45580i | ||||
\(141\) | 0.527487 | + | 3.35127i | 0.0444224 | + | 0.282228i | ||||
\(142\) | 0.748309 | − | 9.07040i | 0.0627967 | − | 0.761171i | ||||
\(143\) | 1.05612 | + | 0.437460i | 0.0883173 | + | 0.0365822i | ||||
\(144\) | −11.9983 | − | 0.204206i | −0.999855 | − | 0.0170172i | ||||
\(145\) | −20.4662 | + | 8.47737i | −1.69962 | + | 0.704008i | ||||
\(146\) | 4.48893 | + | 13.9950i | 0.371506 | + | 1.15823i | ||||
\(147\) | 8.78922 | − | 12.0729i | 0.724923 | − | 0.995756i | ||||
\(148\) | −0.724997 | − | 0.557466i | −0.0595944 | − | 0.0458234i | ||||
\(149\) | 2.83990 | − | 0.861474i | 0.232654 | − | 0.0705747i | −0.171805 | − | 0.985131i | \(-0.554960\pi\) |
0.404459 | + | 0.914556i | \(0.367460\pi\) | |||||||
\(150\) | 13.0114 | − | 6.55223i | 1.06238 | − | 0.534988i | ||||
\(151\) | −13.2070 | + | 2.62704i | −1.07477 | + | 0.213785i | −0.700585 | − | 0.713569i | \(-0.747078\pi\) |
−0.374186 | + | 0.927354i | \(0.622078\pi\) | |||||||
\(152\) | −1.80177 | − | 3.82439i | −0.146143 | − | 0.310199i | ||||
\(153\) | 1.52597 | − | 18.9240i | 0.123367 | − | 1.52992i | ||||
\(154\) | 2.79963 | + | 1.80709i | 0.225601 | + | 0.145620i | ||||
\(155\) | −3.10110 | − | 3.77870i | −0.249086 | − | 0.303513i | ||||
\(156\) | −6.61592 | + | 0.594817i | −0.529698 | + | 0.0476235i | ||||
\(157\) | −7.52800 | + | 4.02380i | −0.600799 | + | 0.321134i | −0.743608 | − | 0.668616i | \(-0.766887\pi\) |
0.142808 | + | 0.989750i | \(0.454387\pi\) | |||||||
\(158\) | −14.9577 | + | 8.30274i | −1.18997 | + | 0.660531i | ||||
\(159\) | 13.7367 | − | 15.4285i | 1.08939 | − | 1.22356i | ||||
\(160\) | 17.8051 | + | 5.77016i | 1.40762 | + | 0.456171i | ||||
\(161\) | −17.5799 | − | 17.5799i | −1.38549 | − | 1.38549i | ||||
\(162\) | −12.7139 | − | 0.596579i | −0.998901 | − | 0.0468717i | ||||
\(163\) | −3.09813 | + | 1.65599i | −0.242664 | + | 0.129707i | −0.588246 | − | 0.808682i | \(-0.700181\pi\) |
0.345582 | + | 0.938389i | \(0.387681\pi\) | |||||||
\(164\) | 21.9678 | − | 9.92696i | 1.71540 | − | 0.775165i | ||||
\(165\) | −2.31663 | − | 2.51095i | −0.180349 | − | 0.195478i | ||||
\(166\) | 4.65471 | − | 1.00288i | 0.361275 | − | 0.0778385i | ||||
\(167\) | 0.802727 | − | 4.03558i | 0.0621169 | − | 0.312283i | −0.937218 | − | 0.348744i | \(-0.886608\pi\) |
0.999335 | + | 0.0364608i | \(0.0116084\pi\) | |||||||
\(168\) | −19.2831 | − | 1.75618i | −1.48772 | − | 0.135492i | ||||
\(169\) | 9.14384 | − | 1.81882i | 0.703373 | − | 0.139909i | ||||
\(170\) | −10.8967 | + | 27.5343i | −0.835742 | + | 2.11179i | ||||
\(171\) | −1.78906 | − | 4.11164i | −0.136813 | − | 0.314425i | ||||
\(172\) | 3.73747 | − | 2.15283i | 0.284979 | − | 0.164152i | ||||
\(173\) | 1.94768 | − | 2.37326i | 0.148080 | − | 0.180435i | −0.693688 | − | 0.720276i | \(-0.744015\pi\) |
0.841768 | + | 0.539840i | \(0.181515\pi\) | |||||||
\(174\) | −14.9941 | − | 6.64333i | −1.13670 | − | 0.503629i | ||||
\(175\) | 21.7174 | − | 8.99563i | 1.64168 | − | 0.680006i | ||||
\(176\) | 0.0828004 | − | 2.38313i | 0.00624132 | − | 0.179635i | ||||
\(177\) | −3.01994 | + | 8.68180i | −0.226993 | + | 0.652564i | ||||
\(178\) | −13.2529 | + | 11.2328i | −0.993343 | + | 0.841933i | ||||
\(179\) | 2.29275 | − | 0.225817i | 0.171368 | − | 0.0168783i | −0.0119689 | − | 0.999928i | \(-0.503810\pi\) |
0.183337 | + | 0.983050i | \(0.441310\pi\) | |||||||
\(180\) | 18.6940 | + | 6.68148i | 1.39337 | + | 0.498008i | ||||
\(181\) | 13.0573 | + | 6.97925i | 0.970538 | + | 0.518764i | 0.878888 | − | 0.477028i | \(-0.158286\pi\) |
0.0916501 | + | 0.995791i | \(0.470786\pi\) | |||||||
\(182\) | −10.7170 | + | 0.169998i | −0.794398 | + | 0.0126011i | ||||
\(183\) | 11.5625 | − | 19.6841i | 0.854724 | − | 1.45509i | ||||
\(184\) | −4.34892 | + | 17.2517i | −0.320607 | + | 1.27181i | ||||
\(185\) | 0.840560 | + | 1.25799i | 0.0617992 | + | 0.0924890i | ||||
\(186\) | 0.442370 | − | 3.59177i | 0.0324361 | − | 0.263361i | ||||
\(187\) | 3.75451 | + | 0.369787i | 0.274557 | + | 0.0270415i | ||||
\(188\) | 3.18649 | − | 2.27858i | 0.232399 | − | 0.166182i | ||||
\(189\) | −20.3881 | − | 2.47273i | −1.48301 | − | 0.179864i | ||||
\(190\) | 0.795821 | + | 6.94841i | 0.0577349 | + | 0.504091i | ||||
\(191\) | 15.9188i | 1.15185i | 0.817504 | + | 0.575923i | \(0.195357\pi\) | ||||
−0.817504 | + | 0.575923i | \(0.804643\pi\) | |||||||
\(192\) | 5.99753 | + | 12.4912i | 0.432834 | + | 0.901474i | ||||
\(193\) | 1.79727i | 0.129370i | 0.997906 | + | 0.0646851i | \(0.0206043\pi\) | ||||
−0.997906 | + | 0.0646851i | \(0.979396\pi\) | |||||||
\(194\) | −10.4063 | + | 1.19187i | −0.747132 | + | 0.0855711i | ||||
\(195\) | 10.6830 | + | 2.57564i | 0.765029 | + | 0.184445i | ||||
\(196\) | −17.0104 | − | 2.82596i | −1.21503 | − | 0.201854i | ||||
\(197\) | −9.82672 | − | 0.967847i | −0.700125 | − | 0.0689563i | −0.258309 | − | 0.966062i | \(-0.583165\pi\) |
−0.441815 | + | 0.897106i | \(0.645665\pi\) | |||||||
\(198\) | 0.163277 | − | 2.52394i | 0.0116036 | − | 0.179369i | ||||
\(199\) | 2.15652 | + | 3.22746i | 0.152871 | + | 0.228788i | 0.899999 | − | 0.435893i | \(-0.143567\pi\) |
−0.747127 | + | 0.664681i | \(0.768567\pi\) | |||||||
\(200\) | −13.4963 | − | 10.0410i | −0.954331 | − | 0.710008i | ||||
\(201\) | 6.68077 | + | 3.92430i | 0.471225 | + | 0.276799i | ||||
\(202\) | −0.211945 | − | 13.3615i | −0.0149124 | − | 0.940109i | ||||
\(203\) | −23.3379 | − | 12.4744i | −1.63800 | − | 0.875528i | ||||
\(204\) | −20.3244 | + | 8.21674i | −1.42299 | + | 0.575287i | ||||
\(205\) | −39.6886 | + | 3.90899i | −2.77197 | + | 0.273015i | ||||
\(206\) | 7.00512 | + | 8.26490i | 0.488070 | + | 0.575843i | ||||
\(207\) | −5.15717 | + | 18.1523i | −0.358448 | + | 1.26167i | ||||
\(208\) | 4.03733 | + | 6.52168i | 0.279938 | + | 0.452197i | ||||
\(209\) | 0.823211 | − | 0.340985i | 0.0569427 | − | 0.0235864i | ||||
\(210\) | 29.2870 | + | 12.9760i | 2.02100 | + | 0.895427i | ||||
\(211\) | −1.08800 | + | 1.32573i | −0.0749011 | + | 0.0912673i | −0.809113 | − | 0.587653i | \(-0.800052\pi\) |
0.734212 | + | 0.678921i | \(0.237552\pi\) | |||||||
\(212\) | −23.0343 | − | 6.19678i | −1.58200 | − | 0.425597i | ||||
\(213\) | −10.4614 | + | 3.84800i | −0.716804 | + | 0.263661i | ||||
\(214\) | −7.75743 | − | 3.07001i | −0.530287 | − | 0.209861i | ||||
\(215\) | −6.99834 | + | 1.39206i | −0.477283 | + | 0.0949375i | ||||
\(216\) | 5.96280 | + | 13.4330i | 0.405717 | + | 0.913999i | ||||
\(217\) | 1.13921 | − | 5.72719i | 0.0773345 | − | 0.388787i | ||||
\(218\) | −1.94662 | − | 9.03493i | −0.131842 | − | 0.611922i | ||||
\(219\) | 13.2299 | − | 12.2060i | 0.893991 | − | 0.824804i | ||||
\(220\) | −1.39329 | + | 3.69066i | −0.0939357 | + | 0.248824i | ||||
\(221\) | −10.7023 | + | 5.72050i | −0.719915 | + | 0.384802i | ||||
\(222\) | −0.245222 | + | 1.09291i | −0.0164582 | + | 0.0733513i | ||||
\(223\) | 9.67171 | + | 9.67171i | 0.647666 | + | 0.647666i | 0.952428 | − | 0.304763i | \(-0.0985771\pi\) |
−0.304763 | + | 0.952428i | \(0.598577\pi\) | |||||||
\(224\) | 8.16491 | + | 20.8142i | 0.545541 | + | 1.39071i | ||||
\(225\) | −13.9905 | − | 11.0729i | −0.932700 | − | 0.738194i | ||||
\(226\) | 9.77837 | + | 17.6161i | 0.650447 | + | 1.17181i | ||||
\(227\) | 16.6493 | − | 8.89925i | 1.10505 | − | 0.590664i | 0.185112 | − | 0.982717i | \(-0.440735\pi\) |
0.919942 | + | 0.392054i | \(0.128235\pi\) | |||||||
\(228\) | −3.31863 | + | 3.97431i | −0.219781 | + | 0.263205i | ||||
\(229\) | −12.7948 | − | 15.5905i | −0.845503 | − | 1.03025i | −0.999113 | − | 0.0421167i | \(-0.986590\pi\) |
0.153610 | − | 0.988132i | \(-0.450910\pi\) | |||||||
\(230\) | 15.9620 | − | 24.7290i | 1.05250 | − | 1.63058i | ||||
\(231\) | 0.563046 | − | 4.04206i | 0.0370457 | − | 0.265948i | ||||
\(232\) | 0.900745 | + | 18.9156i | 0.0591368 | + | 1.24187i | ||||
\(233\) | −4.88894 | + | 0.972470i | −0.320285 | + | 0.0637086i | −0.352615 | − | 0.935769i | \(-0.614707\pi\) |
0.0323297 | + | 0.999477i | \(0.489707\pi\) | |||||||
\(234\) | 4.07373 | + | 7.04209i | 0.266308 | + | 0.460356i | ||||
\(235\) | −6.20159 | + | 1.88123i | −0.404547 | + | 0.122718i | ||||
\(236\) | 10.5246 | − | 1.37486i | 0.685096 | − | 0.0894958i | ||||
\(237\) | 16.9390 | + | 12.3318i | 1.10031 | + | 0.801038i | ||||
\(238\) | −33.6833 | + | 10.8040i | −2.18337 | + | 0.700320i | ||||
\(239\) | −6.86113 | + | 2.84197i | −0.443810 | + | 0.183832i | −0.593386 | − | 0.804918i | \(-0.702209\pi\) |
0.149576 | + | 0.988750i | \(0.452209\pi\) | |||||||
\(240\) | −2.77578 | − | 22.7546i | −0.179176 | − | 1.46880i | ||||
\(241\) | 15.4006 | + | 6.37915i | 0.992042 | + | 0.410917i | 0.818873 | − | 0.573975i | \(-0.194599\pi\) |
0.173169 | + | 0.984892i | \(0.444599\pi\) | |||||||
\(242\) | −15.0028 | − | 1.23773i | −0.964416 | − | 0.0795644i | ||||
\(243\) | 5.89616 | + | 14.4304i | 0.378239 | + | 0.925708i | ||||
\(244\) | −26.3023 | − | 1.75043i | −1.68383 | − | 0.112060i | ||||
\(245\) | 25.1584 | + | 13.4474i | 1.60731 | + | 0.859124i | ||||
\(246\) | −22.3595 | − | 19.2807i | −1.42559 | − | 1.22929i | ||||
\(247\) | −1.59233 | + | 2.38309i | −0.101317 | + | 0.151632i | ||||
\(248\) | −3.93660 | + | 1.40186i | −0.249974 | + | 0.0890183i | ||||
\(249\) | −3.51525 | − | 4.65307i | −0.222770 | − | 0.294877i | ||||
\(250\) | 2.52101 | + | 3.64641i | 0.159443 | + | 0.230619i | ||||
\(251\) | −8.18956 | − | 0.806601i | −0.516920 | − | 0.0509122i | −0.163806 | − | 0.986493i | \(-0.552377\pi\) |
−0.353114 | + | 0.935580i | \(0.614877\pi\) | |||||||
\(252\) | 7.99697 | + | 22.3256i | 0.503762 | + | 1.40638i | ||||
\(253\) | −3.58840 | − | 1.08853i | −0.225601 | − | 0.0684353i | ||||
\(254\) | 17.1073 | + | 13.5913i | 1.07341 | + | 0.852793i | ||||
\(255\) | 36.2064 | − | 2.10028i | 2.26734 | − | 0.131525i | ||||
\(256\) | 9.79102 | − | 12.6545i | 0.611939 | − | 0.790905i | ||||
\(257\) | 1.57386i | 0.0981745i | 0.998794 | + | 0.0490872i | \(0.0156312\pi\) | ||||
−0.998794 | + | 0.0490872i | \(0.984369\pi\) | |||||||
\(258\) | −4.31944 | − | 3.04097i | −0.268917 | − | 0.189323i | ||||
\(259\) | −0.524643 | + | 1.72952i | −0.0325997 | + | 0.107467i | ||||
\(260\) | −2.86902 | − | 12.3606i | −0.177929 | − | 0.766570i | ||||
\(261\) | 0.355748 | + | 20.0826i | 0.0220203 | + | 1.24308i | ||||
\(262\) | 21.7969 | − | 15.0697i | 1.34662 | − | 0.931008i | ||||
\(263\) | −8.16712 | − | 12.2230i | −0.503606 | − | 0.753700i | 0.489362 | − | 0.872081i | \(-0.337230\pi\) |
−0.992968 | + | 0.118381i | \(0.962230\pi\) | |||||||
\(264\) | −2.68989 | + | 1.13743i | −0.165551 | + | 0.0700040i | ||||
\(265\) | 32.8110 | + | 21.9236i | 2.01556 | + | 1.34676i | ||||
\(266\) | −5.81315 | + | 6.00055i | −0.356427 | + | 0.367917i | ||||
\(267\) | 19.3142 | + | 8.92649i | 1.18201 | + | 0.546292i | ||||
\(268\) | 0.594095 | − | 8.92697i | 0.0362901 | − | 0.545302i | ||||
\(269\) | −15.1040 | + | 1.48761i | −0.920906 | + | 0.0907013i | −0.547348 | − | 0.836905i | \(-0.684362\pi\) |
−0.373558 | + | 0.927607i | \(0.621862\pi\) | |||||||
\(270\) | −2.22202 | − | 24.2120i | −0.135228 | − | 1.47350i | ||||
\(271\) | 10.0242 | − | 24.2005i | 0.608926 | − | 1.47008i | −0.255244 | − | 0.966877i | \(-0.582156\pi\) |
0.864170 | − | 0.503200i | \(-0.167844\pi\) | |||||||
\(272\) | 18.9985 | + | 16.7288i | 1.15195 | + | 1.01433i | ||||
\(273\) | 5.71750 | + | 11.8167i | 0.346039 | + | 0.715181i | ||||
\(274\) | 5.25861 | + | 16.3946i | 0.317684 | + | 0.990435i | ||||
\(275\) | 2.24924 | − | 2.74071i | 0.135634 | − | 0.165271i | ||||
\(276\) | 21.4067 | − | 4.06901i | 1.28853 | − | 0.244926i | ||||
\(277\) | −7.76707 | − | 25.6046i | −0.466678 | − | 1.53843i | −0.802586 | − | 0.596536i | \(-0.796543\pi\) |
0.335908 | − | 0.941895i | \(-0.390957\pi\) | |||||||
\(278\) | 11.1127 | − | 4.81090i | 0.666493 | − | 0.288538i | ||||
\(279\) | −4.21794 | + | 1.36153i | −0.252521 | + | 0.0815127i | ||||
\(280\) | −1.75937 | − | 36.9465i | −0.105142 | − | 2.20798i | ||||
\(281\) | 2.69961 | − | 13.5719i | 0.161046 | − | 0.809631i | −0.812822 | − | 0.582513i | \(-0.802070\pi\) |
0.973867 | − | 0.227118i | \(-0.0729303\pi\) | |||||||
\(282\) | −4.17488 | − | 2.36408i | −0.248610 | − | 0.140779i | ||||
\(283\) | 21.8762 | − | 17.9533i | 1.30040 | − | 1.06721i | 0.307101 | − | 0.951677i | \(-0.400641\pi\) |
0.993303 | − | 0.115537i | \(-0.0368589\pi\) | |||||||
\(284\) | 9.38530 | + | 8.80798i | 0.556915 | + | 0.522657i | ||||
\(285\) | 7.30773 | − | 4.46853i | 0.432873 | − | 0.264693i | ||||
\(286\) | −1.41348 | + | 0.784596i | −0.0835810 | + | 0.0463941i | ||||
\(287\) | −33.6866 | − | 33.6866i | −1.98846 | − | 1.98846i | ||||
\(288\) | 10.7812 | − | 13.1060i | 0.635287 | − | 0.772276i | ||||
\(289\) | −16.2986 | + | 16.2986i | −0.958739 | + | 0.958739i | ||||
\(290\) | 8.61749 | − | 30.1198i | 0.506037 | − | 1.76869i | ||||
\(291\) | 6.69232 | + | 10.9445i | 0.392311 | + | 0.641577i | ||||
\(292\) | −19.4455 | − | 7.34105i | −1.13796 | − | 0.429603i | ||||
\(293\) | 5.09003 | + | 6.20222i | 0.297363 | + | 0.362338i | 0.900162 | − | 0.435555i | \(-0.143448\pi\) |
−0.602799 | + | 0.797893i | \(0.705948\pi\) | |||||||
\(294\) | 5.63623 | + | 20.3530i | 0.328712 | + | 1.18701i | ||||
\(295\) | −17.2219 | − | 3.42565i | −1.00270 | − | 0.199449i | ||||
\(296\) | 1.25507 | − | 0.312373i | 0.0729495 | − | 0.0181563i | ||||
\(297\) | −2.88782 | + | 1.12068i | −0.167568 | + | 0.0650284i | ||||
\(298\) | −1.54440 | + | 3.90246i | −0.0894647 | + | 0.226063i | ||||
\(299\) | 11.5425 | − | 3.50137i | 0.667518 | − | 0.202490i | ||||
\(300\) | −4.19111 | + | 20.1716i | −0.241974 | + | 1.16461i | ||||
\(301\) | −6.58895 | − | 5.40742i | −0.379781 | − | 0.311678i | ||||
\(302\) | 8.70951 | − | 16.9351i | 0.501176 | − | 0.974505i | ||||
\(303\) | −14.7325 | + | 7.12831i | −0.846362 | + | 0.409511i | ||||
\(304\) | 5.81976 | + | 1.36929i | 0.333786 | + | 0.0785342i | ||||
\(305\) | 40.2897 | + | 16.6885i | 2.30698 | + | 0.955582i | ||||
\(306\) | 19.6120 | + | 18.3375i | 1.12114 | + | 1.04828i | ||||
\(307\) | −2.62801 | − | 26.6826i | −0.149988 | − | 1.52286i | −0.715789 | − | 0.698316i | \(-0.753933\pi\) |
0.565801 | − | 0.824542i | \(-0.308567\pi\) | |||||||
\(308\) | −4.46387 | + | 1.51029i | −0.254352 | + | 0.0860567i | ||||
\(309\) | 5.56684 | − | 12.0450i | 0.316687 | − | 0.685213i | ||||
\(310\) | 6.91222 | − | 0.109645i | 0.392588 | − | 0.00622740i | ||||
\(311\) | −2.00925 | + | 3.00705i | −0.113934 | + | 0.170514i | −0.884054 | − | 0.467385i | \(-0.845196\pi\) |
0.770120 | + | 0.637899i | \(0.220196\pi\) | |||||||
\(312\) | 5.16150 | − | 7.84904i | 0.292212 | − | 0.444364i | ||||
\(313\) | −6.86076 | + | 4.58421i | −0.387793 | + | 0.259115i | −0.734149 | − | 0.678988i | \(-0.762419\pi\) |
0.346356 | + | 0.938103i | \(0.387419\pi\) | |||||||
\(314\) | 2.16697 | − | 11.8755i | 0.122289 | − | 0.670173i | ||||
\(315\) | −0.694860 | − | 39.2260i | −0.0391509 | − | 2.21013i | ||||
\(316\) | 3.96499 | − | 23.8667i | 0.223048 | − | 1.34261i | ||||
\(317\) | −16.2017 | − | 4.91473i | −0.909978 | − | 0.276039i | −0.199615 | − | 0.979874i | \(-0.563969\pi\) |
−0.710363 | + | 0.703836i | \(0.751469\pi\) | |||||||
\(318\) | 4.99951 | + | 28.7832i | 0.280358 | + | 1.61408i | ||||
\(319\) | −3.99132 | −0.223471 | ||||||||
\(320\) | −22.0527 | + | 14.6394i | −1.23278 | + | 0.818366i | ||||
\(321\) | 0.591726 | + | 10.2007i | 0.0330269 | + | 0.569346i | ||||
\(322\) | 34.9314 | − | 4.00079i | 1.94665 | − | 0.222956i | ||||
\(323\) | −2.74580 | + | 9.05169i | −0.152780 | + | 0.503649i | ||||
\(324\) | 11.8452 | − | 13.5532i | 0.658069 | − | 0.752958i | ||||
\(325\) | −1.11783 | + | 11.3495i | −0.0620062 | + | 0.629559i | ||||
\(326\) | 0.891813 | − | 4.88734i | 0.0493930 | − | 0.270685i | ||||
\(327\) | −9.03175 | + | 6.82321i | −0.499457 | + | 0.377325i | ||||
\(328\) | −8.33340 | + | 33.0577i | −0.460135 | + | 1.82531i | ||||
\(329\) | −6.43686 | − | 4.30097i | −0.354876 | − | 0.237120i | ||||
\(330\) | 4.81834 | − | 0.356263i | 0.265241 | − | 0.0196116i | ||||
\(331\) | −8.72229 | + | 16.3183i | −0.479420 | + | 0.896932i | 0.519673 | + | 0.854365i | \(0.326054\pi\) |
−0.999094 | + | 0.0425673i | \(0.986446\pi\) | |||||||
\(332\) | −2.98434 | + | 6.03638i | −0.163787 | + | 0.331289i | ||||
\(333\) | 1.34050 | − | 0.291416i | 0.0734592 | − | 0.0159695i | ||||
\(334\) | 3.76240 | + | 4.43902i | 0.205870 | + | 0.242892i | ||||
\(335\) | −5.66407 | + | 13.6743i | −0.309461 | + | 0.747106i | ||||
\(336\) | 18.9083 | − | 19.8071i | 1.03153 | − | 1.08057i | ||||
\(337\) | 8.70559 | + | 21.0172i | 0.474224 | + | 1.14488i | 0.962279 | + | 0.272065i | \(0.0877065\pi\) |
−0.488055 | + | 0.872813i | \(0.662293\pi\) | |||||||
\(338\) | −6.03001 | + | 11.7250i | −0.327989 | + | 0.637754i | ||||
\(339\) | 14.5235 | − | 19.9496i | 0.788809 | − | 1.08351i | ||||
\(340\) | −20.9026 | − | 36.2883i | −1.13360 | − | 1.96801i | ||||
\(341\) | −0.255668 | − | 0.842825i | −0.0138452 | − | 0.0456415i | ||||
\(342\) | 6.12666 | + | 1.63606i | 0.331292 | + | 0.0884681i | ||||
\(343\) | 1.25053 | + | 6.28684i | 0.0675223 | + | 0.339457i | ||||
\(344\) | −0.904091 | + | 6.03236i | −0.0487453 | + | 0.325243i | ||||
\(345\) | −35.7034 | − | 4.97335i | −1.92220 | − | 0.267756i | ||||
\(346\) | 0.914486 | + | 4.24445i | 0.0491631 | + | 0.228183i | ||||
\(347\) | −1.79621 | + | 1.47411i | −0.0964258 | + | 0.0791346i | −0.681371 | − | 0.731938i | \(-0.738616\pi\) |
0.584945 | + | 0.811073i | \(0.301116\pi\) | |||||||
\(348\) | 20.5467 | − | 10.7587i | 1.10142 | − | 0.576725i | ||||
\(349\) | −8.61947 | − | 16.1259i | −0.461390 | − | 0.863199i | −0.999790 | − | 0.0205099i | \(-0.993471\pi\) |
0.538400 | − | 0.842689i | \(-0.319029\pi\) | |||||||
\(350\) | −9.14432 | + | 31.9611i | −0.488784 | + | 1.70839i | ||||
\(351\) | 5.72079 | − | 8.15794i | 0.305353 | − | 0.435439i | ||||
\(352\) | 2.56599 | + | 2.18817i | 0.136768 | + | 0.116630i | ||||
\(353\) | −20.7553 | + | 20.7553i | −1.10469 | + | 1.10469i | −0.110857 | + | 0.993836i | \(0.535359\pi\) |
−0.993836 | + | 0.110857i | \(0.964641\pi\) | |||||||
\(354\) | −6.95662 | − | 10.9815i | −0.369740 | − | 0.583659i | ||||
\(355\) | −10.0375 | − | 18.7789i | −0.532736 | − | 0.996680i | ||||
\(356\) | −0.779246 | − | 24.5565i | −0.0413000 | − | 1.30149i | ||||
\(357\) | 29.3776 | + | 31.8418i | 1.55482 | + | 1.68525i | ||||
\(358\) | −1.76693 | + | 2.73741i | −0.0933850 | + | 0.144676i | ||||
\(359\) | 24.0249 | + | 4.77884i | 1.26798 | + | 0.252218i | 0.782843 | − | 0.622219i | \(-0.213769\pi\) |
0.485140 | + | 0.874436i | \(0.338769\pi\) | |||||||
\(360\) | −23.8437 | + | 14.8219i | −1.25668 | + | 0.781182i | ||||
\(361\) | −3.27088 | − | 16.4438i | −0.172151 | − | 0.865464i | ||||
\(362\) | −19.2148 | + | 8.31846i | −1.00991 | + | 0.437209i | ||||
\(363\) | 6.36473 | + | 17.3036i | 0.334062 | + | 0.908202i | ||||
\(364\) | 9.23969 | − | 12.0164i | 0.484291 | − | 0.629832i | ||||
\(365\) | 26.5805 | + | 21.8140i | 1.39129 | + | 1.14180i | ||||
\(366\) | 11.6244 | + | 30.1195i | 0.607616 | + | 1.57437i | ||||
\(367\) | 11.5833 | + | 27.9646i | 0.604645 | + | 1.45974i | 0.868751 | + | 0.495249i | \(0.164923\pi\) |
−0.264106 | + | 0.964494i | \(0.585077\pi\) | |||||||
\(368\) | −15.2769 | − | 19.9922i | −0.796365 | − | 1.04216i | ||||
\(369\) | −9.88217 | + | 34.7834i | −0.514445 | + | 1.81075i | ||||
\(370\) | −2.13241 | − | 0.175924i | −0.110859 | − | 0.00914587i | ||||
\(371\) | 4.62046 | + | 46.9123i | 0.239882 | + | 2.43557i | ||||
\(372\) | 3.58799 | + | 3.64957i | 0.186028 | + | 0.189221i | ||||
\(373\) | −13.2010 | + | 24.6973i | −0.683522 | + | 1.27878i | 0.265665 | + | 0.964065i | \(0.414409\pi\) |
−0.949187 | + | 0.314714i | \(0.898091\pi\) | |||||||
\(374\) | −3.71237 | + | 3.83204i | −0.191962 | + | 0.198150i | ||||
\(375\) | 2.74988 | − | 4.68143i | 0.142003 | − | 0.241748i | ||||
\(376\) | −0.280156 | + | 5.53288i | −0.0144479 | + | 0.285337i | ||||
\(377\) | 10.6748 | − | 7.13269i | 0.549781 | − | 0.367352i | ||||
\(378\) | 20.6738 | − | 20.4003i | 1.06334 | − | 1.04928i | ||||
\(379\) | −0.252166 | + | 2.56028i | −0.0129529 | + | 0.131513i | −0.999486 | − | 0.0320465i | \(-0.989798\pi\) |
0.986533 | + | 0.163559i | \(0.0522975\pi\) | |||||||
\(380\) | −8.39403 | − | 5.23142i | −0.430605 | − | 0.268366i | ||||
\(381\) | 6.27190 | − | 26.0142i | 0.321319 | − | 1.33275i | ||||
\(382\) | −17.6268 | − | 14.0041i | −0.901867 | − | 0.716510i | ||||
\(383\) | −13.6906 | −0.699559 | −0.349779 | − | 0.936832i | \(-0.613743\pi\) | ||||
−0.349779 | + | 0.936832i | \(0.613743\pi\) | |||||||
\(384\) | −19.1075 | − | 4.34767i | −0.975077 | − | 0.221866i | ||||
\(385\) | 7.79599 | 0.397320 | ||||||||
\(386\) | −1.99010 | − | 1.58109i | −0.101294 | − | 0.0804751i | ||||
\(387\) | −1.14960 | + | 6.36679i | −0.0584374 | + | 0.323642i | ||||
\(388\) | 7.83488 | − | 12.5714i | 0.397756 | − | 0.638215i | ||||
\(389\) | 1.42902 | − | 14.5090i | 0.0724539 | − | 0.735637i | −0.888490 | − | 0.458895i | \(-0.848245\pi\) |
0.960944 | − | 0.276742i | \(-0.0892547\pi\) | |||||||
\(390\) | −12.2500 | + | 9.56344i | −0.620304 | + | 0.484264i | ||||
\(391\) | 33.0988 | − | 22.1159i | 1.67388 | − | 1.11845i | ||||
\(392\) | 18.0935 | − | 16.3495i | 0.913860 | − | 0.825774i | ||||
\(393\) | −27.9839 | − | 16.4378i | −1.41160 | − | 0.829177i | ||||
\(394\) | 9.71642 | − | 10.0296i | 0.489506 | − | 0.505286i | ||||
\(395\) | −18.8676 | + | 35.2987i | −0.949330 | + | 1.77607i | ||||
\(396\) | 2.65111 | + | 2.40115i | 0.133223 | + | 0.120662i | ||||
\(397\) | −1.58664 | − | 16.1094i | −0.0796312 | − | 0.808509i | −0.949195 | − | 0.314689i | \(-0.898100\pi\) |
0.869564 | − | 0.493821i | \(-0.164400\pi\) | |||||||
\(398\) | −5.47086 | − | 0.451347i | −0.274230 | − | 0.0226240i | ||||
\(399\) | 9.66427 | + | 3.36169i | 0.483818 | + | 0.168295i | ||||
\(400\) | 22.9913 | − | 6.11110i | 1.14956 | − | 0.305555i | ||||
\(401\) | 0.00672810 | + | 0.0162431i | 0.000335985 | + | 0.000811140i | 0.924047 | − | 0.382278i | \(-0.124860\pi\) |
−0.923711 | + | 0.383089i | \(0.874860\pi\) | |||||||
\(402\) | −10.2225 | + | 3.94531i | −0.509854 | + | 0.196774i | ||||
\(403\) | 2.18996 | + | 1.79725i | 0.109089 | + | 0.0895274i | ||||
\(404\) | 14.9815 | + | 11.5196i | 0.745358 | + | 0.573122i | ||||
\(405\) | −25.7484 | + | 14.9587i | −1.27945 | + | 0.743301i | ||||
\(406\) | 34.3435 | − | 14.8680i | 1.70444 | − | 0.737886i | ||||
\(407\) | 0.0531815 | + | 0.267361i | 0.00263611 | + | 0.0132526i | ||||
\(408\) | 8.78136 | − | 29.7335i | 0.434742 | − | 1.47203i | ||||
\(409\) | −3.70841 | − | 0.737648i | −0.183369 | − | 0.0364743i | 0.102552 | − | 0.994728i | \(-0.467299\pi\) |
−0.285920 | + | 0.958253i | \(0.592299\pi\) | |||||||
\(410\) | 30.5863 | − | 47.3857i | 1.51055 | − | 2.34021i | ||||
\(411\) | 15.4983 | − | 14.2989i | 0.764474 | − | 0.705311i | ||||
\(412\) | −15.3142 | + | 0.485963i | −0.754476 | + | 0.0239417i | ||||
\(413\) | −9.88789 | − | 18.4989i | −0.486551 | − | 0.910273i | ||||
\(414\) | −15.5631 | − | 21.6794i | −0.764884 | − | 1.06548i | ||||
\(415\) | 7.87718 | − | 7.87718i | 0.386676 | − | 0.386676i | ||||
\(416\) | −10.7731 | − | 1.26672i | −0.528195 | − | 0.0621060i | ||||
\(417\) | −11.0767 | − | 9.86208i | −0.542429 | − | 0.482948i | ||||
\(418\) | −0.346621 | + | 1.21151i | −0.0169538 | + | 0.0592567i | ||||
\(419\) | −16.0453 | − | 30.0187i | −0.783866 | − | 1.46651i | −0.881956 | − | 0.471332i | \(-0.843773\pi\) |
0.0980904 | − | 0.995178i | \(-0.468727\pi\) | |||||||
\(420\) | −40.1325 | + | 21.0142i | −1.95827 | + | 1.02539i | ||||
\(421\) | 0.217124 | − | 0.178189i | 0.0105820 | − | 0.00868441i | −0.629087 | − | 0.777335i | \(-0.716571\pi\) |
0.639669 | + | 0.768650i | \(0.279071\pi\) | |||||||
\(422\) | −0.510844 | − | 2.37101i | −0.0248675 | − | 0.115419i | ||||
\(423\) | −0.472289 | + | 5.85702i | −0.0229635 | + | 0.284778i | ||||
\(424\) | 27.1253 | − | 20.0543i | 1.31732 | − | 0.973923i | ||||
\(425\) | 7.34280 | + | 36.9148i | 0.356178 | + | 1.79063i | ||||
\(426\) | 4.94221 | − | 14.9690i | 0.239451 | − | 0.725251i | ||||
\(427\) | 15.1221 | + | 49.8509i | 0.731810 | + | 2.41245i | ||||
\(428\) | 10.2237 | − | 5.88901i | 0.494183 | − | 0.284656i | ||||
\(429\) | 1.60071 | + | 1.16534i | 0.0772831 | + | 0.0562630i | ||||
\(430\) | 4.61514 | − | 8.97383i | 0.222562 | − | 0.432757i | ||||
\(431\) | 10.2218 | + | 24.6777i | 0.492368 | + | 1.18868i | 0.953512 | + | 0.301356i | \(0.0974392\pi\) |
−0.461144 | + | 0.887325i | \(0.652561\pi\) | |||||||
\(432\) | −20.1198 | − | 5.21463i | −0.968016 | − | 0.250889i | ||||
\(433\) | −0.0200990 | + | 0.0485232i | −0.000965894 | + | 0.00233188i | −0.924362 | − | 0.381517i | \(-0.875402\pi\) |
0.923396 | + | 0.383849i | \(0.125402\pi\) | |||||||
\(434\) | 5.33950 | + | 6.29974i | 0.256304 | + | 0.302397i | ||||
\(435\) | −37.9025 | + | 5.96583i | −1.81729 | + | 0.286040i | ||||
\(436\) | 11.7168 | + | 5.79269i | 0.561132 | + | 0.277420i | ||||
\(437\) | 4.43198 | − | 8.29165i | 0.212010 | − | 0.396644i | ||||
\(438\) | 1.87710 | + | 25.3871i | 0.0896913 | + | 1.21304i | ||||
\(439\) | 10.8799 | + | 7.26975i | 0.519271 | + | 0.346966i | 0.787425 | − | 0.616410i | \(-0.211414\pi\) |
−0.268154 | + | 0.963376i | \(0.586414\pi\) | |||||||
\(440\) | −2.86094 | − | 4.78951i | −0.136390 | − | 0.228331i | ||||
\(441\) | 19.7004 | − | 16.7604i | 0.938116 | − | 0.798112i | ||||
\(442\) | 3.08071 | − | 16.8830i | 0.146535 | − | 0.803043i | ||||
\(443\) | −0.861845 | + | 8.75046i | −0.0409475 | + | 0.415747i | 0.952759 | + | 0.303728i | \(0.0982316\pi\) |
−0.993706 | + | 0.112018i | \(0.964268\pi\) | |||||||
\(444\) | −0.994446 | − | 1.23298i | −0.0471943 | − | 0.0585147i | ||||
\(445\) | −11.7987 | + | 38.8951i | −0.559312 | + | 1.84380i | ||||
\(446\) | −19.2178 | + | 2.20107i | −0.909989 | + | 0.104224i | ||||
\(447\) | 5.13156 | − | 0.297674i | 0.242714 | − | 0.0140795i | ||||
\(448\) | −30.2302 | − | 9.26964i | −1.42824 | − | 0.437949i | ||||
\(449\) | 5.31942 | 0.251039 | 0.125519 | − | 0.992091i | \(-0.459940\pi\) | ||||
0.125519 | + | 0.992091i | \(0.459940\pi\) | |||||||
\(450\) | 24.5686 | − | 5.75059i | 1.15818 | − | 0.271085i | ||||
\(451\) | −6.87610 | − | 2.08584i | −0.323783 | − | 0.0982184i | ||||
\(452\) | −28.1084 | − | 4.66968i | −1.32211 | − | 0.219643i | ||||
\(453\) | −23.3045 | − | 0.938073i | −1.09494 | − | 0.0440745i | ||||
\(454\) | −4.79259 | + | 26.2645i | −0.224928 | + | 1.23265i | ||||
\(455\) | −20.8504 | + | 13.9318i | −0.977483 | + | 0.653133i | ||||
\(456\) | −1.48128 | − | 7.17096i | −0.0693674 | − | 0.335811i | ||||
\(457\) | −13.7933 | + | 20.6431i | −0.645222 | + | 0.965643i | 0.354312 | + | 0.935127i | \(0.384715\pi\) |
−0.999534 | + | 0.0305162i | \(0.990285\pi\) | |||||||
\(458\) | 28.5190 | − | 0.452381i | 1.33261 | − | 0.0211384i | ||||
\(459\) | 10.2518 | − | 31.2449i | 0.478512 | − | 1.45839i | ||||
\(460\) | 13.3403 | + | 39.4291i | 0.621995 | + | 1.83839i | ||||
\(461\) | −1.07803 | − | 10.9454i | −0.0502089 | − | 0.509780i | −0.987094 | − | 0.160142i | \(-0.948805\pi\) |
0.936885 | − | 0.349638i | \(-0.113695\pi\) | |||||||
\(462\) | 3.98043 | + | 4.17933i | 0.185186 | + | 0.194440i | ||||
\(463\) | −19.8008 | − | 8.20175i | −0.920220 | − | 0.381167i | −0.128260 | − | 0.991741i | \(-0.540939\pi\) |
−0.791960 | + | 0.610573i | \(0.790939\pi\) | |||||||
\(464\) | −21.7375 | − | 15.6429i | −1.00914 | − | 0.726205i | ||||
\(465\) | −3.68765 | − | 7.62151i | −0.171011 | − | 0.353439i | ||||
\(466\) | 3.22407 | − | 6.26899i | 0.149352 | − | 0.290405i | ||||
\(467\) | 19.8906 | + | 16.3238i | 0.920429 | + | 0.755377i | 0.969927 | − | 0.243398i | \(-0.0782620\pi\) |
−0.0494975 | + | 0.998774i | \(0.515762\pi\) | |||||||
\(468\) | −11.3814 | − | 1.68423i | −0.526105 | − | 0.0778536i | ||||
\(469\) | −16.9194 | + | 5.13243i | −0.781264 | + | 0.236994i | ||||
\(470\) | 3.37256 | − | 8.52193i | 0.155565 | − | 0.393087i | ||||
\(471\) | −14.3092 | + | 3.71924i | −0.659332 | + | 0.171373i | ||||
\(472\) | −7.73632 | + | 12.8634i | −0.356093 | + | 0.592084i | ||||
\(473\) | −1.26093 | − | 0.250814i | −0.0579775 | − | 0.0115324i | ||||
\(474\) | −28.5565 | + | 7.90798i | −1.31164 | + | 0.363226i | ||||
\(475\) | 5.63937 | + | 6.87159i | 0.258752 | + | 0.315290i | ||||
\(476\) | 17.6686 | − | 46.8018i | 0.809837 | − | 2.14516i | ||||
\(477\) | 29.3932 | − | 20.4020i | 1.34582 | − | 0.934145i | ||||
\(478\) | 2.88895 | − | 10.0974i | 0.132137 | − | 0.461845i | ||||
\(479\) | 28.1032 | − | 28.1032i | 1.28407 | − | 1.28407i | 0.345738 | − | 0.938331i | \(-0.387629\pi\) |
0.938331 | − | 0.345738i | \(-0.112371\pi\) | |||||||
\(480\) | 27.6379 | + | 16.9440i | 1.26149 | + | 0.773382i | ||||
\(481\) | −0.620022 | − | 0.620022i | −0.0282706 | − | 0.0282706i | ||||
\(482\) | −20.6118 | + | 11.4412i | −0.938841 | + | 0.521132i | ||||
\(483\) | −22.4644 | − | 36.7378i | −1.02217 | − | 1.67163i | ||||
\(484\) | 14.5687 | − | 15.5236i | 0.662215 | − | 0.705620i | ||||
\(485\) | −18.9432 | + | 15.5463i | −0.860167 | + | 0.705921i | ||||
\(486\) | −21.1656 | − | 6.16585i | −0.960091 | − | 0.279688i | ||||
\(487\) | −2.51031 | + | 12.6202i | −0.113753 | + | 0.571876i | 0.881302 | + | 0.472553i | \(0.156668\pi\) |
−0.995055 | + | 0.0993226i | \(0.968332\pi\) | |||||||
\(488\) | 25.0768 | − | 27.5845i | 1.13517 | − | 1.24869i | ||||
\(489\) | −5.88891 | + | 1.53065i | −0.266306 | + | 0.0692182i | ||||
\(490\) | −37.0225 | + | 16.0278i | −1.67250 | + | 0.724061i | ||||
\(491\) | −1.75007 | − | 5.76922i | −0.0789797 | − | 0.260361i | 0.908554 | − | 0.417767i | \(-0.137187\pi\) |
−0.987534 | + | 0.157406i | \(0.949687\pi\) | |||||||
\(492\) | 41.0195 | − | 7.79704i | 1.84930 | − | 0.351518i | ||||
\(493\) | 26.8797 | − | 32.7530i | 1.21060 | − | 1.47512i | ||||
\(494\) | −1.23798 | − | 3.85961i | −0.0556994 | − | 0.173652i | ||||
\(495\) | −2.88141 | − | 5.16841i | −0.129510 | − | 0.232303i | ||||
\(496\) | 1.91081 | − | 5.59221i | 0.0857981 | − | 0.251098i | ||||
\(497\) | 9.73396 | − | 23.4999i | 0.436628 | − | 1.05411i | ||||
\(498\) | 8.24475 | + | 0.200965i | 0.369456 | + | 0.00900545i | ||||
\(499\) | 35.7171 | − | 3.51783i | 1.59892 | − | 0.157480i | 0.741086 | − | 0.671410i | \(-0.234311\pi\) |
0.857832 | + | 0.513930i | \(0.171811\pi\) | |||||||
\(500\) | −6.25542 | − | 0.416302i | −0.279751 | − | 0.0186176i | ||||
\(501\) | 2.98991 | − | 6.46926i | 0.133579 | − | 0.289025i | ||||
\(502\) | 8.09763 | − | 8.35867i | 0.361415 | − | 0.373066i | ||||
\(503\) | −10.9992 | − | 7.34945i | −0.490431 | − | 0.327696i | 0.285644 | − | 0.958336i | \(-0.407792\pi\) |
−0.776075 | + | 0.630640i | \(0.782792\pi\) | |||||||
\(504\) | −31.7561 | − | 10.7852i | −1.41453 | − | 0.480411i | ||||
\(505\) | −17.3695 | − | 25.9953i | −0.772934 | − | 1.15678i | ||||
\(506\) | 4.36210 | − | 3.01582i | 0.193919 | − | 0.134070i | ||||
\(507\) | 16.1348 | + | 0.649473i | 0.716572 | + | 0.0288441i | ||||
\(508\) | −30.0991 | + | 6.98631i | −1.33543 | + | 0.309967i | ||||
\(509\) | 2.66082 | − | 8.77154i | 0.117939 | − | 0.388792i | −0.878018 | − | 0.478628i | \(-0.841134\pi\) |
0.995957 | + | 0.0898361i | \(0.0286343\pi\) | |||||||
\(510\) | −29.5258 | + | 41.9388i | −1.30742 | + | 1.85708i | ||||
\(511\) | 41.0759i | 1.81709i | ||||||||
\(512\) | 5.39892 | + | 21.9739i | 0.238601 | + | 0.971118i | ||||
\(513\) | −1.34327 | − | 7.64949i | −0.0593070 | − | 0.337733i | ||||
\(514\) | −1.74272 | − | 1.38455i | −0.0768682 | − | 0.0610698i | ||||
\(515\) | 24.2562 | + | 7.35804i | 1.06886 | + | 0.324234i | ||||
\(516\) | 7.16713 | − | 2.10770i | 0.315515 | − | 0.0927862i | ||||
\(517\) | −1.16203 | − | 0.114450i | −0.0511059 | − | 0.00503349i | ||||
\(518\) | −1.45355 | − | 2.10242i | −0.0638651 | − | 0.0923749i | ||||
\(519\) | 4.24296 | − | 3.20542i | 0.186245 | − | 0.140703i | ||||
\(520\) | 16.2107 | + | 7.69695i | 0.710887 | + | 0.337534i | ||||
\(521\) | −1.86065 | + | 2.78467i | −0.0815168 | + | 0.121998i | −0.869987 | − | 0.493074i | \(-0.835873\pi\) |
0.788471 | + | 0.615072i | \(0.210873\pi\) | |||||||
\(522\) | −22.5503 | − | 17.2730i | −0.986999 | − | 0.756021i | ||||
\(523\) | −30.9639 | − | 16.5506i | −1.35396 | − | 0.723705i | −0.374857 | − | 0.927083i | \(-0.622308\pi\) |
−0.979100 | + | 0.203377i | \(0.934808\pi\) | |||||||
\(524\) | −2.48850 | + | 37.3926i | −0.108711 | + | 1.63350i | ||||
\(525\) | 40.2197 | − | 6.33054i | 1.75533 | − | 0.276288i | ||||
\(526\) | 20.7191 | + | 1.70933i | 0.903398 | + | 0.0745304i | ||||
\(527\) | 8.63807 | + | 3.57801i | 0.376280 | + | 0.155860i | ||||
\(528\) | 1.10687 | − | 3.97912i | 0.0481704 | − | 0.173169i | ||||
\(529\) | −15.3058 | + | 6.33988i | −0.665471 | + | 0.275647i | ||||
\(530\) | −53.1402 | + | 17.0449i | −2.30826 | + | 0.740382i | ||||
\(531\) | −8.60943 | + | 13.3925i | −0.373618 | + | 0.581185i | ||||
\(532\) | −1.53044 | − | 11.7156i | −0.0663532 | − | 0.507938i | ||||
\(533\) | 22.1177 | − | 6.70932i | 0.958023 | − | 0.290613i | ||||
\(534\) | −26.8753 | + | 13.5337i | −1.16301 | + | 0.585661i | ||||
\(535\) | −19.1438 | + | 3.80793i | −0.827657 | + | 0.164631i | ||||
\(536\) | 9.36215 | + | 8.51104i | 0.404383 | + | 0.367621i | ||||
\(537\) | 3.95222 | + | 0.550531i | 0.170551 | + | 0.0237572i | ||||
\(538\) | 11.6400 | − | 18.0332i | 0.501836 | − | 0.777467i | ||||
\(539\) | 3.26066 | + | 3.97313i | 0.140447 | + | 0.171135i | ||||
\(540\) | 28.7646 | + | 18.8393i | 1.23783 | + | 0.810713i | ||||
\(541\) | 17.3254 | − | 9.26062i | 0.744877 | − | 0.398145i | −0.0548609 | − | 0.998494i | \(-0.517472\pi\) |
0.799738 | + | 0.600349i | \(0.204972\pi\) | |||||||
\(542\) | 17.9786 | + | 32.3893i | 0.772249 | + | 1.39124i | ||||
\(543\) | 19.1526 | + | 17.0524i | 0.821916 | + | 0.731788i | ||||
\(544\) | −35.2369 | + | 6.32036i | −1.51077 | + | 0.270983i | ||||
\(545\) | −15.2898 | − | 15.2898i | −0.654945 | − | 0.654945i | ||||
\(546\) | −18.1144 | − | 4.06441i | −0.775223 | − | 0.173941i | ||||
\(547\) | −14.1983 | + | 7.58915i | −0.607076 | + | 0.324489i | −0.746134 | − | 0.665795i | \(-0.768092\pi\) |
0.139059 | + | 0.990284i | \(0.455592\pi\) | |||||||
\(548\) | −22.7797 | − | 8.59977i | −0.973102 | − | 0.367364i | ||||
\(549\) | 27.4599 | − | 28.4503i | 1.17196 | − | 1.21423i | ||||
\(550\) | 1.05607 | + | 4.90161i | 0.0450312 | + | 0.209005i | ||||
\(551\) | 1.95230 | − | 9.81489i | 0.0831709 | − | 0.418128i | ||||
\(552\) | −14.3262 | + | 27.2831i | −0.609764 | + | 1.16124i | ||||
\(553\) | −46.8935 | + | 9.32771i | −1.99412 | + | 0.396654i | ||||
\(554\) | 35.1846 | + | 13.9243i | 1.49485 | + | 0.591589i | ||||
\(555\) | 0.904649 | + | 2.45944i | 0.0384002 | + | 0.104397i | ||||
\(556\) | −4.44891 | + | 16.5372i | −0.188676 | + | 0.701334i | ||||
\(557\) | −2.51777 | + | 3.06791i | −0.106681 | + | 0.129991i | −0.823614 | − | 0.567151i | \(-0.808046\pi\) |
0.716933 | + | 0.697143i | \(0.245546\pi\) | |||||||
\(558\) | 2.20297 | − | 5.86826i | 0.0932592 | − | 0.248423i | ||||
\(559\) | 3.82058 | − | 1.58254i | 0.161593 | − | 0.0669341i | ||||
\(560\) | 42.4584 | + | 30.5543i | 1.79420 | + | 1.29116i | ||||
\(561\) | 6.17175 | + | 2.14682i | 0.260571 | + | 0.0906390i | ||||
\(562\) | 12.6532 | + | 14.9287i | 0.533742 | + | 0.629728i | ||||
\(563\) | 32.8836 | − | 3.23875i | 1.38588 | − | 0.136497i | 0.622586 | − | 0.782551i | \(-0.286082\pi\) |
0.763292 | + | 0.646054i | \(0.223582\pi\) | |||||||
\(564\) | 6.29044 | − | 2.54309i | 0.264875 | − | 0.107084i | ||||
\(565\) | 41.5723 | + | 22.2208i | 1.74896 | + | 0.934838i | ||||
\(566\) | 0.634770 | + | 40.0172i | 0.0266814 | + | 1.68205i | ||||
\(567\) | −33.3257 | − | 12.4403i | −1.39955 | − | 0.522443i | ||||
\(568\) | −18.0094 | + | 2.64377i | −0.755659 | + | 0.110930i | ||||
\(569\) | −11.2767 | − | 16.8767i | −0.472743 | − | 0.707510i | 0.516090 | − | 0.856534i | \(-0.327387\pi\) |
−0.988834 | + | 0.149024i | \(0.952387\pi\) | |||||||
\(570\) | −1.48076 | + | 12.0228i | −0.0620221 | + | 0.503581i | ||||
\(571\) | −8.31363 | − | 0.818821i | −0.347915 | − | 0.0342666i | −0.0774492 | − | 0.996996i | \(-0.524678\pi\) |
−0.270465 | + | 0.962730i | \(0.587178\pi\) | |||||||
\(572\) | 0.374685 | − | 2.25536i | 0.0156664 | − | 0.0943014i | ||||
\(573\) | −6.46238 | + | 26.8042i | −0.269970 | + | 1.11976i | ||||
\(574\) | 66.9356 | − | 7.66632i | 2.79384 | − | 0.319986i | ||||
\(575\) | − | 37.4104i | − | 1.56012i | ||||||
\(576\) | 5.02777 | + | 23.4675i | 0.209490 | + | 0.977811i | ||||
\(577\) | 9.05047i | 0.376776i | 0.982095 | + | 0.188388i | \(0.0603262\pi\) | ||||
−0.982095 | + | 0.188388i | \(0.939674\pi\) | |||||||
\(578\) | −3.70919 | − | 32.3854i | −0.154282 | − | 1.34706i | ||||
\(579\) | −0.729615 | + | 3.02625i | −0.0303218 | + | 0.125767i | ||||
\(580\) | 25.7705 | + | 36.0389i | 1.07006 | + | 1.49644i | ||||
\(581\) | 13.2434 | + | 1.30436i | 0.549429 | + | 0.0541140i | ||||
\(582\) | −18.0061 | − | 2.21767i | −0.746377 | − | 0.0919252i | ||||
\(583\) | 3.95009 | + | 5.91173i | 0.163596 | + | 0.244839i | ||||
\(584\) | 25.2353 | − | 15.0739i | 1.04424 | − | 0.623762i | ||||
\(585\) | 16.9426 | + | 8.67373i | 0.700489 | + | 0.358615i | ||||
\(586\) | −11.3455 | + | 0.179967i | −0.468677 | + | 0.00743435i | ||||
\(587\) | 16.1140 | + | 8.61312i | 0.665097 | + | 0.355502i | 0.769148 | − | 0.639070i | \(-0.220681\pi\) |
−0.104052 | + | 0.994572i | \(0.533181\pi\) | |||||||
\(588\) | −27.4950 | − | 11.6639i | −1.13388 | − | 0.481010i | ||||
\(589\) | 2.19761 | − | 0.216446i | 0.0905510 | − | 0.00891850i | ||||
\(590\) | 18.9436 | − | 16.0561i | 0.779895 | − | 0.661019i | ||||
\(591\) | −16.1534 | − | 5.61890i | −0.664461 | − | 0.231131i | ||||
\(592\) | −0.758217 | + | 1.66453i | −0.0311625 | + | 0.0684118i | ||||
\(593\) | 22.0148 | − | 9.11883i | 0.904040 | − | 0.374465i | 0.118268 | − | 0.992982i | \(-0.462266\pi\) |
0.785772 | + | 0.618516i | \(0.212266\pi\) | |||||||
\(594\) | 1.29954 | − | 4.18355i | 0.0533209 | − | 0.171653i | ||||
\(595\) | −52.5023 | + | 63.9743i | −2.15239 | + | 2.62269i | ||||
\(596\) | −2.96253 | − | 5.14316i | −0.121350 | − | 0.210672i | ||||
\(597\) | 2.32094 | + | 6.30986i | 0.0949898 | + | 0.258245i | ||||
\(598\) | −6.27705 | + | 15.8611i | −0.256688 | + | 0.648610i | ||||
\(599\) | 8.42861 | − | 1.67656i | 0.344384 | − | 0.0685022i | −0.0198682 | − | 0.999803i | \(-0.506325\pi\) |
0.364252 | + | 0.931300i | \(0.381325\pi\) | |||||||
\(600\) | −18.6489 | − | 22.3861i | −0.761337 | − | 0.913907i | ||||
\(601\) | 1.39211 | − | 6.99863i | 0.0567855 | − | 0.285480i | −0.941950 | − | 0.335753i | \(-0.891009\pi\) |
0.998736 | + | 0.0502732i | \(0.0160092\pi\) | |||||||
\(602\) | 11.7840 | − | 2.53892i | 0.480280 | − | 0.103479i | ||||
\(603\) | 9.65601 | + | 9.31987i | 0.393223 | + | 0.379534i | ||||
\(604\) | 11.0902 | + | 24.5421i | 0.451254 | + | 0.998602i | ||||
\(605\) | −31.0610 | + | 16.6024i | −1.26281 | + | 0.674985i | ||||
\(606\) | 5.06732 | − | 22.5841i | 0.205846 | − | 0.917418i | ||||
\(607\) | −2.36253 | − | 2.36253i | −0.0958923 | − | 0.0958923i | 0.657533 | − | 0.753426i | \(-0.271600\pi\) |
−0.753426 | + | 0.657533i | \(0.771600\pi\) | |||||||
\(608\) | −6.63595 | + | 5.23960i | −0.269123 | + | 0.212494i | ||||
\(609\) | −34.2324 | − | 30.4786i | −1.38717 | − | 1.23505i | ||||
\(610\) | −53.9226 | + | 29.9313i | −2.18326 | + | 1.21188i | ||||
\(611\) | 3.31238 | − | 1.77050i | 0.134005 | − | 0.0716269i | ||||
\(612\) | −37.5580 | + | 5.58453i | −1.51819 | + | 0.225741i | ||||
\(613\) | 1.44970 | + | 1.76646i | 0.0585528 | + | 0.0713468i | 0.801463 | − | 0.598044i | \(-0.204055\pi\) |
−0.742910 | + | 0.669391i | \(0.766555\pi\) | |||||||
\(614\) | 31.8574 | + | 20.5632i | 1.28566 | + | 0.829862i | ||||
\(615\) | −68.4147 | − | 9.52994i | −2.75875 | − | 0.384284i | ||||
\(616\) | 2.25460 | − | 6.27144i | 0.0908405 | − | 0.252683i | ||||
\(617\) | −21.6635 | + | 4.30914i | −0.872139 | + | 0.173479i | −0.610817 | − | 0.791772i | \(-0.709159\pi\) |
−0.261323 | + | 0.965251i | \(0.584159\pi\) | |||||||
\(618\) | 8.44006 | + | 16.7603i | 0.339509 | + | 0.674197i | ||||
\(619\) | 10.2301 | − | 3.10327i | 0.411182 | − | 0.124731i | −0.0779150 | − | 0.996960i | \(-0.524826\pi\) |
0.489097 | + | 0.872229i | \(0.337326\pi\) | |||||||
\(620\) | −5.95939 | + | 7.75032i | −0.239335 | + | 0.311260i | ||||
\(621\) | −16.0527 | + | 28.4713i | −0.644174 | + | 1.14251i | ||||
\(622\) | −1.56212 | − | 4.87018i | −0.0626354 | − | 0.195276i | ||||
\(623\) | −44.8575 | + | 18.5806i | −1.79718 | + | 0.744415i | ||||
\(624\) | 4.15054 | + | 12.6202i | 0.166155 | + | 0.505213i | ||||
\(625\) | −17.8914 | − | 7.41085i | −0.715655 | − | 0.296434i | ||||
\(626\) | 0.959449 | − | 11.6297i | 0.0383473 | − | 0.464815i | ||||
\(627\) | 1.52455 | − | 0.239963i | 0.0608847 | − | 0.00958321i | ||||
\(628\) | 11.2434 | + | 12.8465i | 0.448659 | + | 0.512633i | ||||
\(629\) | −2.55213 | − | 1.36414i | −0.101760 | − | 0.0543920i | ||||
\(630\) | 44.0460 | + | 33.7383i | 1.75483 | + | 1.34417i | ||||
\(631\) | 2.27400 | − | 3.40328i | 0.0905265 | − | 0.135482i | −0.783442 | − | 0.621465i | \(-0.786538\pi\) |
0.873969 | + | 0.485982i | \(0.161538\pi\) | |||||||
\(632\) | 22.9394 | + | 25.3863i | 0.912478 | + | 1.00981i | ||||
\(633\) | −2.37017 | + | 1.79059i | −0.0942060 | + | 0.0711697i | ||||
\(634\) | 19.6949 | − | 13.6165i | 0.782186 | − | 0.540779i | ||||
\(635\) | 50.8718 | + | 5.01044i | 2.01879 | + | 0.198833i | ||||
\(636\) | −36.2696 | − | 19.7851i | −1.43818 | − | 0.784531i | ||||
\(637\) | −15.8209 | − | 4.79920i | −0.626845 | − | 0.190151i | ||||
\(638\) | 3.51123 | − | 4.41957i | 0.139011 | − | 0.174972i | ||||
\(639\) | −19.1771 | + | 2.23238i | −0.758635 | + | 0.0883117i | ||||
\(640\) | 3.19002 | − | 37.2973i | 0.126097 | − | 1.47431i | ||||
\(641\) | 27.2228i | 1.07523i | 0.843189 | + | 0.537617i | \(0.180676\pi\) | ||||
−0.843189 | + | 0.537617i | \(0.819324\pi\) | |||||||
\(642\) | −11.8157 | − | 8.31848i | −0.466328 | − | 0.328304i | ||||
\(643\) | 7.16421 | − | 23.6172i | 0.282529 | − | 0.931373i | −0.694720 | − | 0.719280i | \(-0.744472\pi\) |
0.977249 | − | 0.212093i | \(-0.0680281\pi\) | |||||||
\(644\) | −26.2997 | + | 42.1989i | −1.03635 | + | 1.66287i | ||||
\(645\) | −12.3490 | − | 0.497081i | −0.486240 | − | 0.0195726i | ||||
\(646\) | −7.60735 | − | 11.0033i | −0.299307 | − | 0.432920i | ||||
\(647\) | −25.5496 | − | 38.2376i | −1.00446 | − | 1.50328i | −0.857731 | − | 0.514099i | \(-0.828126\pi\) |
−0.146727 | − | 0.989177i | \(-0.546874\pi\) | |||||||
\(648\) | 4.58697 | + | 25.0392i | 0.180193 | + | 0.983631i | ||||
\(649\) | −2.63056 | − | 1.75768i | −0.103259 | − | 0.0689952i | ||||
\(650\) | −11.5839 | − | 11.2221i | −0.454358 | − | 0.440169i | ||||
\(651\) | 4.24320 | − | 9.18099i | 0.166304 | − | 0.359831i | ||||
\(652\) | 4.62718 | + | 5.28697i | 0.181214 | + | 0.207054i | ||||
\(653\) | 30.9219 | − | 3.04554i | 1.21007 | − | 0.119181i | 0.527211 | − | 0.849734i | \(-0.323238\pi\) |
0.682856 | + | 0.730553i | \(0.260738\pi\) | |||||||
\(654\) | 0.390079 | − | 16.0033i | 0.0152533 | − | 0.625778i | ||||
\(655\) | 23.7252 | − | 57.2777i | 0.927021 | − | 2.23803i | ||||
\(656\) | −29.2736 | − | 38.3090i | −1.14294 | − | 1.49571i | ||||
\(657\) | 27.2316 | − | 15.1817i | 1.06241 | − | 0.592296i | ||||
\(658\) | 10.4251 | − | 3.34386i | 0.406411 | − | 0.130357i | ||||
\(659\) | −6.31593 | + | 7.69598i | −0.246034 | + | 0.299793i | −0.881355 | − | 0.472455i | \(-0.843368\pi\) |
0.635321 | + | 0.772248i | \(0.280868\pi\) | |||||||
\(660\) | −3.84428 | + | 5.64873i | −0.149639 | + | 0.219876i | ||||
\(661\) | 0.659604 | + | 2.17442i | 0.0256556 | + | 0.0845753i | 0.968833 | − | 0.247713i | \(-0.0796792\pi\) |
−0.943178 | + | 0.332289i | \(0.892179\pi\) | |||||||
\(662\) | −10.3960 | − | 24.0136i | −0.404051 | − | 0.933314i | ||||
\(663\) | −20.3429 | + | 5.28752i | −0.790051 | + | 0.205350i | ||||
\(664\) | −4.05867 | − | 8.61484i | −0.157507 | − | 0.334321i | ||||
\(665\) | −3.81331 | + | 19.1708i | −0.147874 | + | 0.743411i | ||||
\(666\) | −0.856581 | + | 1.74070i | −0.0331918 | + | 0.0674506i | ||||
\(667\) | −32.5550 | + | 26.7172i | −1.26053 | + | 1.03449i | ||||
\(668\) | −8.22515 | + | 0.261007i | −0.318241 | + | 0.0100987i | ||||
\(669\) | 12.3590 | + | 20.2116i | 0.477825 | + | 0.781425i | ||||
\(670\) | −10.1587 | − | 18.3013i | −0.392464 | − | 0.707040i | ||||
\(671\) | 5.55595 | + | 5.55595i | 0.214485 | + | 0.214485i | ||||
\(672\) | 5.29842 | + | 38.3617i | 0.204391 | + | 1.47983i | ||||
\(673\) | 10.9849 | − | 10.9849i | 0.423435 | − | 0.423435i | −0.462949 | − | 0.886385i | \(-0.653209\pi\) |
0.886385 | + | 0.462949i | \(0.153209\pi\) | |||||||
\(674\) | −30.9306 | − | 8.84948i | −1.19140 | − | 0.340869i | ||||
\(675\) | −19.0621 | − | 24.3242i | −0.733702 | − | 0.936238i | ||||
\(676\) | −7.67829 | − | 16.9916i | −0.295319 | − | 0.653525i | ||||
\(677\) | 14.8217 | + | 18.0603i | 0.569644 | + | 0.694113i | 0.975544 | − | 0.219804i | \(-0.0705418\pi\) |
−0.405900 | + | 0.913918i | \(0.633042\pi\) | |||||||
\(678\) | 9.31344 | + | 33.6317i | 0.357681 | + | 1.29162i | ||||
\(679\) | −28.7113 | − | 5.71103i | −1.10184 | − | 0.219169i | ||||
\(680\) | 58.5701 | + | 8.77811i | 2.24606 | + | 0.336625i | ||||
\(681\) | 31.6469 | − | 8.22567i | 1.21271 | − | 0.315208i | ||||
\(682\) | 1.15817 | + | 0.458347i | 0.0443486 | + | 0.0175510i | ||||
\(683\) | −40.4530 | + | 12.2713i | −1.54789 | + | 0.469547i | −0.944668 | − | 0.328027i | \(-0.893616\pi\) |
−0.603221 | + | 0.797574i | \(0.706116\pi\) | |||||||
\(684\) | −7.20132 | + | 5.34474i | −0.275350 | + | 0.204361i | ||||
\(685\) | 31.1380 | + | 25.5543i | 1.18972 | + | 0.976381i | ||||
\(686\) | −8.06149 | − | 4.14593i | −0.307789 | − | 0.158292i | ||||
\(687\) | −15.2148 | − | 31.4455i | −0.580482 | − | 1.19972i | ||||
\(688\) | −5.88425 | − | 6.30786i | −0.224335 | − | 0.240485i | ||||
\(689\) | −21.1291 | − | 8.75196i | −0.804955 | − | 0.333423i | ||||
\(690\) | 36.9158 | − | 35.1590i | 1.40536 | − | 1.33848i | ||||
\(691\) | −1.15627 | − | 11.7398i | −0.0439865 | − | 0.446602i | −0.991802 | − | 0.127783i | \(-0.959214\pi\) |
0.947816 | − | 0.318819i | \(-0.103286\pi\) | |||||||
\(692\) | −5.50434 | − | 2.72130i | −0.209244 | − | 0.103448i | ||||
\(693\) | 2.58897 | − | 6.57747i | 0.0983467 | − | 0.249858i | ||||
\(694\) | −0.0521198 | − | 3.28574i | −0.00197844 | − | 0.124725i | ||||
\(695\) | 15.7398 | − | 23.5563i | 0.597045 | − | 0.893541i | ||||
\(696\) | −6.16225 | + | 32.2158i | −0.233579 | + | 1.22114i | ||||
\(697\) | 63.4238 | − | 42.3784i | 2.40235 | − | 1.60520i | ||||
\(698\) | 25.4388 | + | 4.64192i | 0.962872 | + | 0.175699i | ||||
\(699\) | −8.62680 | − | 0.347254i | −0.326295 | − | 0.0131343i | ||||
\(700\) | −27.3459 | − | 38.2422i | −1.03358 | − | 1.44542i | ||||
\(701\) | 18.8505 | + | 5.71824i | 0.711974 | + | 0.215975i | 0.625438 | − | 0.780274i | \(-0.284920\pi\) |
0.0865357 | + | 0.996249i | \(0.472420\pi\) | |||||||
\(702\) | 4.00057 | + | 13.5113i | 0.150992 | + | 0.509950i | ||||
\(703\) | −0.683470 | −0.0257776 | ||||||||
\(704\) | −4.68028 | + | 0.916339i | −0.176395 | + | 0.0345358i | ||||
\(705\) | −11.2060 | + | 0.650041i | −0.422041 | + | 0.0244820i | ||||
\(706\) | −4.72344 | − | 41.2410i | −0.177769 | − | 1.55212i | ||||
\(707\) | 10.8413 | − | 35.7391i | 0.407731 | − | 1.34411i | ||||
\(708\) | 18.2796 | + | 1.95757i | 0.686988 | + | 0.0735698i | ||||
\(709\) | 1.46977 | − | 14.9229i | 0.0551985 | − | 0.560440i | −0.927319 | − | 0.374271i | \(-0.877893\pi\) |
0.982518 | − | 0.186169i | \(-0.0596071\pi\) | |||||||
\(710\) | 29.6239 | + | 5.40560i | 1.11177 | + | 0.202869i | ||||
\(711\) | 23.5158 | + | 27.6409i | 0.881912 | + | 1.03662i | ||||
\(712\) | 27.8767 | + | 20.7399i | 1.04472 | + | 0.777259i | ||||
\(713\) | −7.72706 | − | 5.16306i | −0.289381 | − | 0.193358i | ||||
\(714\) | −61.1021 | + | 4.51783i | −2.28669 | + | 0.169076i | ||||
\(715\) | −1.78295 | + | 3.33567i | −0.0666787 | + | 0.124747i | ||||
\(716\) | −1.47672 | − | 4.36465i | −0.0551876 | − | 0.163115i | ||||
\(717\) | −12.7065 | + | 2.00000i | −0.474534 | + | 0.0746913i | ||||
\(718\) | −26.4266 | + | 22.3986i | −0.986233 | + | 0.835907i | ||||
\(719\) | 19.2802 | − | 46.5466i | 0.719031 | − | 1.73589i | 0.0429389 | − | 0.999078i | \(-0.486328\pi\) |
0.676092 | − | 0.736817i | \(-0.263672\pi\) | |||||||
\(720\) | 4.56353 | − | 39.4411i | 0.170073 | − | 1.46988i | ||||
\(721\) | 11.5874 | + | 27.9746i | 0.431539 | + | 1.04183i | ||||
\(722\) | 21.0856 | + | 10.8441i | 0.784724 | + | 0.403574i | ||||
\(723\) | 23.3420 | + | 16.9933i | 0.868098 | + | 0.631986i | ||||
\(724\) | 7.69255 | − | 28.5943i | 0.285891 | − | 1.06270i | ||||
\(725\) | −11.5589 | − | 38.1046i | −0.429287 | − | 1.41517i | ||||
\(726\) | −24.7593 | − | 8.17460i | −0.918904 | − | 0.303388i | ||||
\(727\) | 3.45867 | + | 17.3879i | 0.128275 | + | 0.644882i | 0.990405 | + | 0.138195i | \(0.0441300\pi\) |
−0.862130 | + | 0.506687i | \(0.830870\pi\) | |||||||
\(728\) | 5.17741 | + | 20.8021i | 0.191888 | + | 0.770977i | ||||
\(729\) | 4.06985 | + | 26.6915i | 0.150735 | + | 0.988574i | ||||
\(730\) | −47.5378 | + | 10.2422i | −1.75945 | + | 0.379082i | ||||
\(731\) | 10.5500 | − | 8.65812i | 0.390204 | − | 0.320232i | ||||
\(732\) | −43.5773 | − | 13.6250i | −1.61066 | − | 0.503595i | ||||
\(733\) | −1.32394 | − | 2.47691i | −0.0489008 | − | 0.0914869i | 0.856284 | − | 0.516506i | \(-0.172767\pi\) |
−0.905185 | + | 0.425019i | \(0.860267\pi\) | |||||||
\(734\) | −41.1551 | − | 11.7748i | −1.51906 | − | 0.434615i | ||||
\(735\) | 36.9027 | + | 32.8561i | 1.36118 | + | 1.21191i | ||||
\(736\) | 35.5765 | + | 0.671384i | 1.31137 | + | 0.0247475i | ||||
\(737\) | −1.88569 | + | 1.88569i | −0.0694601 | + | 0.0694601i | ||||
\(738\) | −29.8220 | − | 41.5420i | −1.09776 | − | 1.52918i | ||||
\(739\) | 20.2602 | + | 37.9042i | 0.745285 | + | 1.39433i | 0.912778 | + | 0.408456i | \(0.133933\pi\) |
−0.167493 | + | 0.985873i | \(0.553567\pi\) | |||||||
\(740\) | 2.07072 | − | 2.20645i | 0.0761212 | − | 0.0811106i | ||||
\(741\) | −3.64860 | + | 3.36623i | −0.134035 | + | 0.123662i | ||||
\(742\) | −56.0104 | − | 36.1533i | −2.05621 | − | 1.32723i | ||||
\(743\) | −12.8386 | − | 2.55377i | −0.471004 | − | 0.0936886i | −0.0461194 | − | 0.998936i | \(-0.514685\pi\) |
−0.424885 | + | 0.905247i | \(0.639685\pi\) | |||||||
\(744\) | −7.19756 | + | 0.762368i | −0.263875 | + | 0.0279498i | ||||
\(745\) | 1.91562 | + | 9.63047i | 0.0701829 | + | 0.352833i | ||||
\(746\) | −15.7341 | − | 36.3440i | −0.576065 | − | 1.33065i | ||||
\(747\) | −4.03005 | − | 9.26191i | −0.147452 | − | 0.338876i | ||||
\(748\) | −0.977365 | − | 7.48179i | −0.0357360 | − | 0.273561i | ||||
\(749\) | −18.0239 | − | 14.7918i | −0.658579 | − | 0.540481i | ||||
\(750\) | 2.76460 | + | 7.16326i | 0.100949 | + | 0.261565i | ||||
\(751\) | −2.17195 | − | 5.24355i | −0.0792556 | − | 0.191340i | 0.879285 | − | 0.476296i | \(-0.158021\pi\) |
−0.958541 | + | 0.284956i | \(0.908021\pi\) | |||||||
\(752\) | −5.88007 | − | 5.17758i | −0.214424 | − | 0.188807i | ||||
\(753\) | −13.4622 | − | 4.68278i | −0.490589 | − | 0.170650i | ||||
\(754\) | −1.49283 | + | 18.0949i | −0.0543657 | + | 0.658978i | ||||
\(755\) | −4.36705 | − | 44.3394i | −0.158933 | − | 1.61367i | ||||
\(756\) | 4.40208 | + | 40.8384i | 0.160102 | + | 1.48528i | ||||
\(757\) | 1.03019 | − | 1.92735i | 0.0374428 | − | 0.0700506i | −0.862504 | − | 0.506050i | \(-0.831105\pi\) |
0.899947 | + | 0.436000i | \(0.143605\pi\) | |||||||
\(758\) | −2.61315 | − | 2.53154i | −0.0949140 | − | 0.0919498i | ||||
\(759\) | −5.60027 | − | 3.28961i | −0.203277 | − | 0.119405i | ||||
\(760\) | 13.1771 | − | 4.69249i | 0.477983 | − | 0.170215i | ||||
\(761\) | −24.9470 | + | 16.6691i | −0.904329 | + | 0.604253i | −0.918402 | − | 0.395648i | \(-0.870520\pi\) |
0.0140733 | + | 0.999901i | \(0.495520\pi\) | |||||||
\(762\) | 23.2878 | + | 29.8299i | 0.843629 | + | 1.08062i | ||||
\(763\) | 2.53180 | − | 25.7058i | 0.0916575 | − | 0.930614i | ||||
\(764\) | 31.0132 | − | 7.19848i | 1.12202 | − | 0.260432i | ||||
\(765\) | 61.8172 | + | 11.1618i | 2.23501 | + | 0.403557i | ||||
\(766\) | 12.0439 | − | 15.1596i | 0.435163 | − | 0.547737i | ||||
\(767\) | 10.1765 | 0.367453 | ||||||||
\(768\) | 21.6234 | − | 17.3329i | 0.780265 | − | 0.625449i | ||||
\(769\) | 20.0483 | 0.722959 | 0.361479 | − | 0.932380i | \(-0.382272\pi\) | ||||
0.361479 | + | 0.932380i | \(0.382272\pi\) | |||||||
\(770\) | −6.85825 | + | 8.63245i | −0.247154 | + | 0.311092i | ||||
\(771\) | −0.638920 | + | 2.65007i | −0.0230101 | + | 0.0954398i | ||||
\(772\) | 3.50145 | − | 0.812723i | 0.126020 | − | 0.0292505i | ||||
\(773\) | 1.36987 | − | 13.9086i | 0.0492709 | − | 0.500256i | −0.938603 | − | 0.344999i | \(-0.887879\pi\) |
0.987874 | − | 0.155257i | \(-0.0496207\pi\) | |||||||
\(774\) | −6.03859 | − | 6.87391i | −0.217052 | − | 0.247078i | ||||
\(775\) | 7.30592 | − | 4.88166i | 0.262437 | − | 0.175354i | ||||
\(776\) | 7.02775 | + | 19.7348i | 0.252281 | + | 0.708437i | ||||
\(777\) | −1.58551 | + | 2.69918i | −0.0568797 | + | 0.0968327i | ||||
\(778\) | 14.8086 | + | 14.3462i | 0.530915 | + | 0.514335i | ||||
\(779\) | 8.49256 | − | 15.8885i | 0.304277 | − | 0.569263i | ||||
\(780\) | 0.187011 | − | 21.9775i | 0.00669606 | − | 0.786921i | ||||
\(781\) | −0.376043 | − | 3.81802i | −0.0134559 | − | 0.136620i | ||||
\(782\) | −4.62873 | + | 56.1058i | −0.165523 | + | 2.00634i | ||||
\(783\) | −7.55367 | + | 33.9596i | −0.269946 | + | 1.21362i | ||||
\(784\) | 2.18655 | + | 34.4178i | 0.0780910 | + | 1.22921i | ||||
\(785\) | −10.8080 | − | 26.0928i | −0.385753 | − | 0.931291i | ||||
\(786\) | 42.8193 | − | 16.5258i | 1.52732 | − | 0.589455i | ||||
\(787\) | −31.0711 | − | 25.4994i | −1.10756 | − | 0.908955i | −0.111171 | − | 0.993801i | \(-0.535460\pi\) |
−0.996394 | + | 0.0848464i | \(0.972960\pi\) | |||||||
\(788\) | 2.55807 | + | 19.5822i | 0.0911274 | + | 0.697585i | ||||
\(789\) | −8.78982 | − | 23.8966i | −0.312926 | − | 0.850741i | ||||
\(790\) | −22.4880 | − | 51.9448i | −0.800086 | − | 1.84811i | ||||
\(791\) | 10.9855 | + | 55.2278i | 0.390599 | + | 1.96367i | ||||
\(792\) | −4.99100 | + | 0.823228i | −0.177348 | + | 0.0292521i | ||||
\(793\) | −24.7882 | − | 4.93068i | −0.880254 | − | 0.175093i | ||||
\(794\) | 19.2337 | + | 12.4149i | 0.682578 | + | 0.440587i | ||||
\(795\) | 46.3473 | + | 50.2350i | 1.64377 | + | 1.78165i | ||||
\(796\) | 5.31258 | − | 5.66080i | 0.188299 | − | 0.200642i | ||||
\(797\) | −12.7755 | − | 23.9013i | −0.452531 | − | 0.846626i | −0.999952 | − | 0.00976908i | \(-0.996890\pi\) |
0.547421 | − | 0.836857i | \(-0.315610\pi\) | |||||||
\(798\) | −12.2242 | + | 7.74385i | −0.432731 | + | 0.274129i | ||||
\(799\) | 8.76490 | − | 8.76490i | 0.310080 | − | 0.310080i | ||||
\(800\) | −13.4590 | + | 30.8341i | −0.475848 | + | 1.09015i | ||||
\(801\) | 28.8976 | + | 22.8712i | 1.02104 | + | 0.808115i | ||||
\(802\) | −0.0239047 | − | 0.00683931i | −0.000844103 | − | 0.000241504i | ||||
\(803\) | 2.92051 | + | 5.46389i | 0.103063 | + | 0.192817i | ||||
\(804\) | 4.62432 | − | 14.7901i | 0.163087 | − | 0.521607i | ||||
\(805\) | 63.5876 | − | 52.1850i | 2.24117 | − | 1.83928i | ||||
\(806\) | −3.91662 | + | 0.843855i | −0.137957 | + | 0.0297235i | ||||
\(807\) | −26.0361 | − | 3.62673i | −0.916513 | − | 0.127667i | ||||
\(808\) | −25.9351 | + | 6.45496i | −0.912393 | + | 0.227085i | ||||
\(809\) | 3.30712 | + | 16.6260i | 0.116272 | + | 0.584540i | 0.994362 | + | 0.106043i | \(0.0338182\pi\) |
−0.878089 | + | 0.478497i | \(0.841182\pi\) | |||||||
\(810\) | 6.08761 | − | 41.6704i | 0.213897 | − | 1.46415i | ||||
\(811\) | 9.54814 | + | 31.4760i | 0.335280 | + | 1.10527i | 0.948876 | + | 0.315651i | \(0.102223\pi\) |
−0.613595 | + | 0.789621i | \(0.710277\pi\) | |||||||
\(812\) | −13.7493 | + | 51.1080i | −0.482505 | + | 1.79354i | ||||
\(813\) | 26.7032 | − | 36.6795i | 0.936521 | − | 1.28641i | ||||
\(814\) | −0.342832 | − | 0.176315i | −0.0120163 | − | 0.00617982i | ||||
\(815\) | −4.44800 | − | 10.7384i | −0.155807 | − | 0.376151i | ||||
\(816\) | 25.1986 | + | 35.8806i | 0.882127 | + | 1.25607i | ||||
\(817\) | 1.23353 | − | 2.97801i | 0.0431559 | − | 0.104187i | ||||
\(818\) | 4.07914 | − | 3.45737i | 0.142624 | − | 0.120884i | ||||
\(819\) | 4.83006 | + | 22.2181i | 0.168776 | + | 0.776364i | ||||
\(820\) | 25.5627 | + | 75.5540i | 0.892687 | + | 2.63846i | ||||
\(821\) | 14.2417 | − | 26.6443i | 0.497037 | − | 0.929892i | −0.500888 | − | 0.865512i | \(-0.666993\pi\) |
0.997925 | − | 0.0643795i | \(-0.0205068\pi\) | |||||||
\(822\) | 2.19895 | + | 29.7401i | 0.0766973 | + | 1.03730i | ||||
\(823\) | 44.8808 | + | 29.9884i | 1.56445 | + | 1.04533i | 0.970584 | + | 0.240765i | \(0.0773982\pi\) |
0.593864 | + | 0.804566i | \(0.297602\pi\) | |||||||
\(824\) | 12.9340 | − | 17.3848i | 0.450579 | − | 0.605629i | ||||
\(825\) | 4.89989 | − | 3.70172i | 0.170592 | − | 0.128877i | ||||
\(826\) | 29.1823 | + | 5.32501i | 1.01538 | + | 0.185281i | ||||
\(827\) | 0.100137 | − | 1.01671i | 0.00348210 | − | 0.0353543i | −0.993287 | − | 0.115679i | \(-0.963096\pi\) |
0.996769 | + | 0.0803245i | \(0.0255957\pi\) | |||||||
\(828\) | 37.6965 | + | 1.83879i | 1.31004 | + | 0.0639024i | ||||
\(829\) | −6.63031 | + | 21.8572i | −0.230280 | + | 0.759132i | 0.763304 | + | 0.646039i | \(0.223576\pi\) |
−0.993584 | + | 0.113093i | \(0.963924\pi\) | |||||||
\(830\) | 1.79267 | + | 15.6520i | 0.0622245 | + | 0.543290i | ||||
\(831\) | −2.68384 | − | 46.2662i | −0.0931013 | − | 1.60496i | ||||
\(832\) | 10.8799 | − | 10.8147i | 0.377193 | − | 0.374931i | ||||
\(833\) | −54.5628 | −1.89049 | ||||||||
\(834\) | 20.6646 | − | 3.58934i | 0.715556 | − | 0.124289i | ||||
\(835\) | 13.0278 | + | 3.95195i | 0.450847 | + | 0.136763i | ||||
\(836\) | −1.03657 | − | 1.44959i | −0.0358504 | − | 0.0501352i | ||||
\(837\) | −7.65491 | + | 0.580247i | −0.264592 | + | 0.0200563i | ||||
\(838\) | 47.3549 | + | 8.64104i | 1.63585 | + | 0.298500i | ||||
\(839\) | 17.4379 | − | 11.6516i | 0.602022 | − | 0.402258i | −0.216875 | − | 0.976199i | \(-0.569586\pi\) |
0.818896 | + | 0.573941i | \(0.194586\pi\) | |||||||
\(840\) | 12.0363 | − | 62.9250i | 0.415292 | − | 2.17112i | ||||
\(841\) | −8.79261 | + | 13.1591i | −0.303193 | + | 0.453761i | ||||
\(842\) | 0.00630018 | + | 0.397176i | 0.000217118 | + | 0.0136876i | ||||
\(843\) | 10.0552 | − | 21.7565i | 0.346321 | − | 0.749332i | ||||
\(844\) | 3.07480 | + | 1.52016i | 0.105839 | + | 0.0523260i | ||||
\(845\) | 3.02352 | + | 30.6983i | 0.104012 | + | 1.05605i | ||||
\(846\) | −6.06996 | − | 5.67547i | −0.208689 | − | 0.195127i | ||||
\(847\) | −38.8696 | − | 16.1003i | −1.33558 | − | 0.553214i | ||||
\(848\) | −1.65653 | + | 47.6778i | −0.0568856 | + | 1.63726i | ||||
\(849\) | 44.1235 | − | 21.3491i | 1.51431 | − | 0.732698i | ||||
\(850\) | −47.3351 | − | 24.3439i | −1.62358 | − | 0.834988i | ||||
\(851\) | 2.22344 | + | 1.82473i | 0.0762186 | + | 0.0625510i | ||||
\(852\) | 12.2273 | + | 18.6410i | 0.418902 | + | 0.638629i | ||||
\(853\) | −41.9707 | + | 12.7317i | −1.43705 | + | 0.435924i | −0.910248 | − | 0.414064i | \(-0.864109\pi\) |
−0.526802 | + | 0.849988i | \(0.676609\pi\) | |||||||
\(854\) | −68.5028 | − | 27.1100i | −2.34412 | − | 0.927686i | ||||
\(855\) | 14.1188 | − | 4.55749i | 0.482854 | − | 0.155863i | ||||
\(856\) | −2.47311 | + | 16.5013i | −0.0845293 | + | 0.564004i | ||||
\(857\) | −2.92076 | − | 0.580975i | −0.0997711 | − | 0.0198457i | 0.144952 | − | 0.989439i | \(-0.453697\pi\) |
−0.244723 | + | 0.969593i | \(0.578697\pi\) | |||||||
\(858\) | −2.69854 | + | 0.747292i | −0.0921267 | + | 0.0255121i | ||||
\(859\) | −9.79061 | − | 11.9299i | −0.334051 | − | 0.407043i | 0.578712 | − | 0.815532i | \(-0.303556\pi\) |
−0.912763 | + | 0.408490i | \(0.866056\pi\) | |||||||
\(860\) | 5.87666 | + | 13.0047i | 0.200392 | + | 0.443458i | ||||
\(861\) | −43.0463 | − | 70.3970i | −1.46701 | − | 2.39912i | ||||
\(862\) | −36.3177 | − | 10.3908i | −1.23699 | − | 0.353911i | ||||
\(863\) | −8.67702 | + | 8.67702i | −0.295369 | + | 0.295369i | −0.839197 | − | 0.543828i | \(-0.816974\pi\) |
0.543828 | + | 0.839197i | \(0.316974\pi\) | |||||||
\(864\) | 23.4739 | − | 17.6912i | 0.798597 | − | 0.601866i | ||||
\(865\) | 7.18290 | + | 7.18290i | 0.244226 | + | 0.244226i | ||||
\(866\) | −0.0360480 | − | 0.0649421i | −0.00122496 | − | 0.00220682i | ||||
\(867\) | −34.0601 | + | 20.8271i | −1.15674 | + | 0.707324i | ||||
\(868\) | −11.6729 | + | 0.370414i | −0.396204 | + | 0.0125727i | ||||
\(869\) | −5.57455 | + | 4.57491i | −0.189104 | + | 0.155193i | ||||
\(870\) | 26.7375 | − | 47.2175i | 0.906487 | − | 1.60082i | ||||
\(871\) | 1.67347 | − | 8.41309i | 0.0567033 | − | 0.285067i | ||||
\(872\) | −16.7217 | + | 7.87800i | −0.566267 | + | 0.266783i | ||||
\(873\) | 6.82556 | + | 21.1452i | 0.231010 | + | 0.715655i | ||||
\(874\) | 5.28241 | + | 12.2018i | 0.178680 | + | 0.412732i | ||||
\(875\) | 3.59646 | + | 11.8559i | 0.121583 | + | 0.400804i | ||||
\(876\) | −29.7623 | − | 20.2550i | −1.00558 | − | 0.684352i | ||||
\(877\) | 31.2376 | − | 38.0631i | 1.05482 | − | 1.28530i | 0.0978221 | − | 0.995204i | \(-0.468812\pi\) |
0.956997 | − | 0.290097i | \(-0.0936876\pi\) | |||||||
\(878\) | −17.6210 | + | 5.65198i | −0.594680 | + | 0.190745i | ||||
\(879\) | 6.05278 | + | 12.5097i | 0.204155 | + | 0.421941i | ||||
\(880\) | 7.82022 | + | 1.04551i | 0.263619 | + | 0.0352441i | ||||
\(881\) | −10.3647 | + | 25.0225i | −0.349194 | + | 0.843030i | 0.647521 | + | 0.762047i | \(0.275806\pi\) |
−0.996716 | + | 0.0809823i | \(0.974194\pi\) | |||||||
\(882\) | 1.22786 | + | 36.5585i | 0.0413442 | + | 1.23099i | ||||
\(883\) | 47.8419 | − | 4.71201i | 1.61001 | − | 0.158572i | 0.747374 | − | 0.664403i | \(-0.231314\pi\) |
0.862632 | + | 0.505831i | \(0.168814\pi\) | |||||||
\(884\) | 15.9843 | + | 18.2635i | 0.537610 | + | 0.614268i | ||||
\(885\) | −27.6076 | − | 12.7595i | −0.928021 | − | 0.428905i | ||||
\(886\) | −8.93115 | − | 8.65224i | −0.300048 | − | 0.290678i | ||||
\(887\) | 40.1602 | + | 26.8342i | 1.34845 | + | 0.901004i | 0.999349 | − | 0.0360814i | \(-0.0114876\pi\) |
0.349099 | + | 0.937086i | \(0.386488\pi\) | |||||||
\(888\) | 2.24010 | − | 0.0164698i | 0.0751730 | − | 0.000552690i | ||||
\(889\) | 33.9252 | + | 50.7727i | 1.13781 | + | 1.70286i | ||||
\(890\) | −32.6888 | − | 47.2812i | −1.09573 | − | 1.58487i | ||||
\(891\) | −5.31748 | + | 0.714670i | −0.178142 | + | 0.0239423i | ||||
\(892\) | 14.4690 | − | 23.2161i | 0.484457 | − | 0.777331i | ||||
\(893\) | 0.849830 | − | 2.80151i | 0.0284385 | − | 0.0937490i | ||||
\(894\) | −4.18470 | + | 5.94401i | −0.139957 | + | 0.198797i | ||||
\(895\) | 7.62271i | 0.254799i | ||||||||
\(896\) | 36.8583 | − | 25.3191i | 1.23135 | − | 0.845852i | ||||
\(897\) | 20.8567 | − | 1.20987i | 0.696384 | − | 0.0403962i | ||||
\(898\) | −4.67958 | + | 5.89016i | −0.156160 | + | 0.196557i | ||||
\(899\) | −9.46571 | − | 2.87139i | −0.315699 | − | 0.0957663i | ||||
\(900\) | −15.2458 | + | 32.2636i | −0.508194 | + | 1.07545i | ||||
\(901\) | −75.1140 | − | 7.39808i | −2.50241 | − | 0.246466i | ||||
\(902\) | 8.35865 | − | 5.77891i | 0.278313 | − | 0.192417i | ||||
\(903\) | −8.89933 | − | 11.7799i | −0.296151 | − | 0.392010i | ||||
\(904\) | 29.8981 | − | 27.0163i | 0.994397 | − | 0.898549i | ||||
\(905\) | −27.2155 | + | 40.7309i | −0.904674 | + | 1.35394i | ||||
\(906\) | 21.5401 | − | 24.9797i | 0.715620 | − | 0.829894i | ||||
\(907\) | −22.7161 | − | 12.1420i | −0.754276 | − | 0.403169i | 0.0489821 | − | 0.998800i | \(-0.484402\pi\) |
−0.803259 | + | 0.595631i | \(0.796902\pi\) | |||||||
\(908\) | −24.8664 | − | 28.4121i | −0.825221 | − | 0.942889i | ||||
\(909\) | −27.7005 | + | 6.02189i | −0.918768 | + | 0.199733i | ||||
\(910\) | 2.91585 | − | 35.3436i | 0.0966595 | − | 1.17163i | ||||
\(911\) | −21.0878 | − | 8.73487i | −0.698671 | − | 0.289399i | 0.00493643 | − | 0.999988i | \(-0.498429\pi\) |
−0.703608 | + | 0.710589i | \(0.748429\pi\) | |||||||
\(912\) | 9.24347 | + | 4.66820i | 0.306082 | + | 0.154579i | ||||
\(913\) | 1.85437 | − | 0.768105i | 0.0613707 | − | 0.0254206i | ||||
\(914\) | −10.7238 | − | 33.4333i | −0.354712 | − | 1.10587i | ||||
\(915\) | 61.0651 | + | 44.4561i | 2.01875 | + | 1.46967i | ||||
\(916\) | −24.5877 | + | 31.9769i | −0.812401 | + | 1.05655i | ||||
\(917\) | 70.8705 | − | 21.4983i | 2.34035 | − | 0.709937i | ||||
\(918\) | 25.5786 | + | 38.8383i | 0.844219 | + | 1.28186i | ||||
\(919\) | 3.48712 | − | 0.693631i | 0.115029 | − | 0.0228808i | −0.137240 | − | 0.990538i | \(-0.543823\pi\) |
0.252269 | + | 0.967657i | \(0.418823\pi\) | |||||||
\(920\) | −55.3953 | − | 19.9148i | −1.82633 | − | 0.656571i | ||||
\(921\) | 6.40697 | − | 45.9952i | 0.211117 | − | 1.51559i | ||||
\(922\) | 13.0682 | + | 8.43518i | 0.430377 | + | 0.277798i | ||||
\(923\) | 7.82873 | + | 9.53933i | 0.257686 | + | 0.313991i | ||||
\(924\) | −8.12939 | + | 0.730888i | −0.267437 | + | 0.0240445i | ||||
\(925\) | −2.39845 | + | 1.28200i | −0.0788606 | + | 0.0421519i | ||||
\(926\) | 26.5008 | − | 14.7101i | 0.870870 | − | 0.483403i | ||||
\(927\) | 14.2632 | − | 18.0214i | 0.468466 | − | 0.591902i | ||||
\(928\) | 36.4442 | − | 10.3084i | 1.19634 | − | 0.338391i | ||||
\(929\) | 21.1359 | + | 21.1359i | 0.693446 | + | 0.693446i | 0.962989 | − | 0.269542i | \(-0.0868724\pi\) |
−0.269542 | + | 0.962989i | \(0.586872\pi\) | |||||||
\(930\) | 11.6833 | + | 2.62145i | 0.383112 | + | 0.0859608i | ||||
\(931\) | −11.3651 | + | 6.07476i | −0.372475 | + | 0.199092i | ||||
\(932\) | 4.10535 | + | 9.08492i | 0.134475 | + | 0.297586i | ||||
\(933\) | −4.60392 | + | 4.24762i | −0.150725 | + | 0.139061i | ||||
\(934\) | −35.5734 | + | 7.66445i | −1.16400 | + | 0.250788i | ||||
\(935\) | −2.43523 | + | 12.2428i | −0.0796407 | + | 0.400381i | ||||
\(936\) | 11.8773 | − | 11.1209i | 0.388223 | − | 0.363498i | ||||
\(937\) | 29.6366 | − | 5.89510i | 0.968187 | − | 0.192584i | 0.314423 | − | 0.949283i | \(-0.398189\pi\) |
0.653764 | + | 0.756699i | \(0.273189\pi\) | |||||||
\(938\) | 9.20113 | − | 23.2498i | 0.300427 | − | 0.759133i | ||||
\(939\) | −13.4132 | + | 4.93374i | −0.437722 | + | 0.161006i | ||||
\(940\) | 6.46938 | + | 11.2313i | 0.211008 | + | 0.366324i | ||||
\(941\) | 3.64899 | − | 4.44630i | 0.118954 | − | 0.144945i | −0.710129 | − | 0.704072i | \(-0.751363\pi\) |
0.829082 | + | 0.559126i | \(0.188863\pi\) | |||||||
\(942\) | 8.46971 | − | 19.1163i | 0.275958 | − | 0.622844i | ||||
\(943\) | −70.0468 | + | 29.0143i | −2.28104 | + | 0.944836i | ||||
\(944\) | −7.43775 | − | 19.8825i | −0.242078 | − | 0.647120i | ||||
\(945\) | 14.7541 | − | 66.3310i | 0.479951 | − | 2.15775i | ||||
\(946\) | 1.38698 | − | 1.17557i | 0.0450947 | − | 0.0382211i | ||||
\(947\) | 30.3312 | − | 2.98736i | 0.985632 | − | 0.0970763i | 0.407661 | − | 0.913133i | \(-0.366345\pi\) |
0.577971 | + | 0.816057i | \(0.303845\pi\) | |||||||
\(948\) | 16.3651 | − | 38.5772i | 0.531515 | − | 1.25293i | ||||
\(949\) | −17.5752 | − | 9.39413i | −0.570514 | − | 0.304946i | ||||
\(950\) | −12.5699 | + | 0.199389i | −0.407822 | + | 0.00646904i | ||||
\(951\) | −25.2853 | − | 14.8527i | −0.819933 | − | 0.481630i | ||||
\(952\) | 36.2801 | + | 60.7366i | 1.17584 | + | 1.96848i | ||||
\(953\) | 31.2128 | + | 46.7133i | 1.01108 | + | 1.51319i | 0.850366 | + | 0.526191i | \(0.176380\pi\) |
0.160716 | + | 0.987001i | \(0.448620\pi\) | |||||||
\(954\) | −3.26658 | + | 50.4949i | −0.105759 | + | 1.63483i | ||||
\(955\) | −52.4168 | − | 5.16260i | −1.69617 | − | 0.167058i | ||||
\(956\) | 8.63936 | + | 12.0818i | 0.279417 | + | 0.390753i | ||||
\(957\) | −6.72061 | − | 1.62031i | −0.217246 | − | 0.0523771i | ||||
\(958\) | 6.39567 | + | 55.8414i | 0.206635 | + | 1.80415i | ||||
\(959\) | 48.1189i | 1.55384i | ||||||||
\(960\) | −43.0754 | + | 15.6974i | −1.39025 | + | 0.506631i | ||||
\(961\) | 28.8172i | 0.929589i | ||||||||
\(962\) | 1.23199 | − | 0.141103i | 0.0397210 | − | 0.00454935i | ||||
\(963\) | −3.14469 | + | 17.4162i | −0.101336 | + | 0.561228i | ||||
\(964\) | 5.46376 | − | 32.8883i | 0.175976 | − | 1.05926i | ||||
\(965\) | −5.91796 | − | 0.582868i | −0.190506 | − | 0.0187632i | ||||
\(966\) | 60.4419 | + | 7.44414i | 1.94469 | + | 0.239511i | ||||
\(967\) | −1.29855 | − | 1.94341i | −0.0417584 | − | 0.0624959i | 0.810003 | − | 0.586426i | \(-0.199465\pi\) |
−0.851761 | + | 0.523930i | \(0.824465\pi\) | |||||||
\(968\) | 4.37289 | + | 29.7883i | 0.140550 | + | 0.957431i | ||||
\(969\) | −8.29799 | + | 14.1266i | −0.266570 | + | 0.453812i | ||||
\(970\) | −0.549665 | − | 34.6520i | −0.0176487 | − | 1.11261i | ||||
\(971\) | −4.03297 | − | 2.15566i | −0.129424 | − | 0.0691786i | 0.405414 | − | 0.914133i | \(-0.367127\pi\) |
−0.534838 | + | 0.844955i | \(0.679627\pi\) | |||||||
\(972\) | 25.4471 | − | 18.0123i | 0.816217 | − | 0.577746i | ||||
\(973\) | 33.6802 | − | 3.31721i | 1.07974 | − | 0.106345i | ||||
\(974\) | −11.7659 | − | 13.8818i | −0.377004 | − | 0.444803i | ||||
\(975\) | −6.48965 | + | 18.6566i | −0.207835 | + | 0.597490i | ||||
\(976\) | 8.48366 | + | 52.0339i | 0.271555 | + | 1.66556i | ||||
\(977\) | −38.6316 | + | 16.0017i | −1.23593 | + | 0.511941i | −0.902442 | − | 0.430812i | \(-0.858227\pi\) |
−0.333492 | + | 0.942753i | \(0.608227\pi\) | |||||||
\(978\) | 3.48569 | − | 7.86729i | 0.111460 | − | 0.251568i | ||||
\(979\) | −4.64583 | + | 5.66096i | −0.148481 | + | 0.180925i | ||||
\(980\) | 14.8218 | − | 55.0946i | 0.473465 | − | 1.75993i | ||||
\(981\) | −17.9776 | + | 7.82244i | −0.573982 | + | 0.249751i | ||||
\(982\) | 7.92778 | + | 3.13743i | 0.252986 | + | 0.100119i | ||||
\(983\) | 54.0512 | − | 10.7514i | 1.72396 | − | 0.342918i | 0.768912 | − | 0.639355i | \(-0.220799\pi\) |
0.955052 | + | 0.296437i | \(0.0957986\pi\) | |||||||
\(984\) | −27.4519 | + | 52.2798i | −0.875134 | + | 1.66662i | ||||
\(985\) | 6.37376 | − | 32.0431i | 0.203085 | − | 1.02098i | ||||
\(986\) | 12.6207 | + | 58.5771i | 0.401925 | + | 1.86547i | ||||
\(987\) | −9.09240 | − | 9.85510i | −0.289414 | − | 0.313691i | ||||
\(988\) | 5.36280 | + | 2.02455i | 0.170613 | + | 0.0644097i | ||||
\(989\) | −11.9636 | + | 6.39468i | −0.380420 | + | 0.203339i | ||||
\(990\) | 8.25777 | + | 1.35617i | 0.262449 | + | 0.0431018i | ||||
\(991\) | −21.8724 | − | 21.8724i | −0.694800 | − | 0.694800i | 0.268484 | − | 0.963284i | \(-0.413477\pi\) |
−0.963284 | + | 0.268484i | \(0.913477\pi\) | |||||||
\(992\) | 4.51124 | + | 7.03539i | 0.143232 | + | 0.223374i | ||||
\(993\) | −21.3112 | + | 23.9359i | −0.676289 | + | 0.759582i | ||||
\(994\) | 17.4581 | + | 31.4516i | 0.553738 | + | 0.997583i | ||||
\(995\) | −11.3266 | + | 6.05419i | −0.359077 | + | 0.191931i | ||||
\(996\) | −7.47556 | + | 8.95256i | −0.236872 | + | 0.283673i | ||||
\(997\) | −37.3568 | − | 45.5194i | −1.18310 | − | 1.44161i | −0.870804 | − | 0.491630i | \(-0.836401\pi\) |
−0.312298 | − | 0.949984i | \(-0.601099\pi\) | |||||||
\(998\) | −27.5257 | + | 42.6440i | −0.871310 | + | 1.34987i | ||||
\(999\) | 2.37545 | + | 0.0535013i | 0.0751559 | + | 0.00169270i |
(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 | 384.2.w.a.251.17 | yes | 992 | |
3.2 | odd | 2 | inner | 384.2.w.a.251.46 | yes | 992 | |
128.51 | odd | 32 | inner | 384.2.w.a.179.46 | yes | 992 | |
384.179 | even | 32 | inner | 384.2.w.a.179.17 | ✓ | 992 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
384.2.w.a.179.17 | ✓ | 992 | 384.179 | even | 32 | inner | |
384.2.w.a.179.46 | yes | 992 | 128.51 | odd | 32 | inner | |
384.2.w.a.251.17 | yes | 992 | 1.1 | even | 1 | trivial | |
384.2.w.a.251.46 | yes | 992 | 3.2 | odd | 2 | inner |