Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [430,2,Mod(11,430)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(430, base_ring=CyclotomicField(14))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("430.11");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 430 = 2 \cdot 5 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 430.k (of order \(7\), degree \(6\), 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: | \(3.43356728692\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{7})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{7}]$ |
Embedding invariants
Embedding label | 11.2 | ||
Character | \(\chi\) | \(=\) | 430.11 |
Dual form | 430.2.k.d.391.2 |
$q$-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 \(\left(\mathbb{Z}/430\mathbb{Z}\right)^\times\).
\(n\) | \(87\) | \(261\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{5}{7}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.623490 | − | 0.781831i | −0.440874 | − | 0.552838i | ||||
\(3\) | −1.03097 | + | 1.29280i | −0.595232 | + | 0.746398i | −0.984626 | − | 0.174673i | \(-0.944113\pi\) |
0.389394 | + | 0.921071i | \(0.372684\pi\) | |||||||
\(4\) | −0.222521 | + | 0.974928i | −0.111260 | + | 0.487464i | ||||
\(5\) | 0.900969 | − | 0.433884i | 0.402926 | − | 0.194039i | ||||
\(6\) | 1.65355 | 0.675060 | ||||||||
\(7\) | −3.40711 | −1.28777 | −0.643883 | − | 0.765124i | \(-0.722678\pi\) | ||||
−0.643883 | + | 0.765124i | \(0.722678\pi\) | |||||||
\(8\) | 0.900969 | − | 0.433884i | 0.318541 | − | 0.153401i | ||||
\(9\) | 0.0591384 | + | 0.259102i | 0.0197128 | + | 0.0863674i | ||||
\(10\) | −0.900969 | − | 0.433884i | −0.284911 | − | 0.137206i | ||||
\(11\) | −0.666565 | − | 2.92041i | −0.200977 | − | 0.880538i | −0.970343 | − | 0.241730i | \(-0.922285\pi\) |
0.769366 | − | 0.638808i | \(-0.220572\pi\) | |||||||
\(12\) | −1.03097 | − | 1.29280i | −0.297616 | − | 0.373199i | ||||
\(13\) | −1.19835 | + | 0.577095i | −0.332363 | + | 0.160057i | −0.592621 | − | 0.805482i | \(-0.701907\pi\) |
0.260258 | + | 0.965539i | \(0.416192\pi\) | |||||||
\(14\) | 2.12430 | + | 2.66378i | 0.567742 | + | 0.711926i | ||||
\(15\) | −0.367950 | + | 1.61209i | −0.0950043 | + | 0.416241i | ||||
\(16\) | −0.900969 | − | 0.433884i | −0.225242 | − | 0.108471i | ||||
\(17\) | −1.28393 | − | 0.618308i | −0.311399 | − | 0.149962i | 0.271656 | − | 0.962394i | \(-0.412429\pi\) |
−0.583055 | + | 0.812433i | \(0.698143\pi\) | |||||||
\(18\) | 0.165702 | − | 0.207784i | 0.0390563 | − | 0.0489751i | ||||
\(19\) | 0.589719 | − | 2.58373i | 0.135291 | − | 0.592747i | −0.861143 | − | 0.508363i | \(-0.830251\pi\) |
0.996433 | − | 0.0843839i | \(-0.0268922\pi\) | |||||||
\(20\) | 0.222521 | + | 0.974928i | 0.0497572 | + | 0.218001i | ||||
\(21\) | 3.51263 | − | 4.40470i | 0.766520 | − | 0.961185i | ||||
\(22\) | −1.86767 | + | 2.34199i | −0.398190 | + | 0.499314i | ||||
\(23\) | −1.38386 | − | 6.06309i | −0.288555 | − | 1.26424i | −0.886509 | − | 0.462712i | \(-0.846876\pi\) |
0.597954 | − | 0.801531i | \(-0.295981\pi\) | |||||||
\(24\) | −0.367950 | + | 1.61209i | −0.0751075 | + | 0.329067i | ||||
\(25\) | 0.623490 | − | 0.781831i | 0.124698 | − | 0.156366i | ||||
\(26\) | 1.19835 | + | 0.577095i | 0.235016 | + | 0.113178i | ||||
\(27\) | −4.86533 | − | 2.34302i | −0.936334 | − | 0.450915i | ||||
\(28\) | 0.758153 | − | 3.32168i | 0.143277 | − | 0.627739i | ||||
\(29\) | −0.0758221 | − | 0.0950779i | −0.0140798 | − | 0.0176555i | 0.774742 | − | 0.632278i | \(-0.217880\pi\) |
−0.788822 | + | 0.614622i | \(0.789308\pi\) | |||||||
\(30\) | 1.48980 | − | 0.717449i | 0.271999 | − | 0.130988i | ||||
\(31\) | −4.06742 | − | 5.10038i | −0.730530 | − | 0.916056i | 0.268352 | − | 0.963321i | \(-0.413521\pi\) |
−0.998882 | + | 0.0472652i | \(0.984949\pi\) | |||||||
\(32\) | 0.222521 | + | 0.974928i | 0.0393365 | + | 0.172345i | ||||
\(33\) | 4.46272 | + | 2.14913i | 0.776860 | + | 0.374116i | ||||
\(34\) | 0.317105 | + | 1.38933i | 0.0543830 | + | 0.238267i | ||||
\(35\) | −3.06970 | + | 1.47829i | −0.518874 | + | 0.249876i | ||||
\(36\) | −0.265765 | −0.0442942 | ||||||||
\(37\) | −7.10154 | −1.16749 | −0.583743 | − | 0.811938i | \(-0.698413\pi\) | ||||
−0.583743 | + | 0.811938i | \(0.698413\pi\) | |||||||
\(38\) | −2.38772 | + | 1.14987i | −0.387340 | + | 0.186533i | ||||
\(39\) | 0.489399 | − | 2.14420i | 0.0783665 | − | 0.343346i | ||||
\(40\) | 0.623490 | − | 0.781831i | 0.0985824 | − | 0.123618i | ||||
\(41\) | −0.325939 | − | 0.408714i | −0.0509031 | − | 0.0638304i | 0.755728 | − | 0.654885i | \(-0.227283\pi\) |
−0.806631 | + | 0.591055i | \(0.798712\pi\) | |||||||
\(42\) | −5.63383 | −0.869319 | ||||||||
\(43\) | −6.34466 | + | 1.65688i | −0.967552 | + | 0.252672i | ||||
\(44\) | 2.99552 | 0.451591 | ||||||||
\(45\) | 0.165702 | + | 0.207784i | 0.0247014 | + | 0.0309746i | ||||
\(46\) | −3.87749 | + | 4.86222i | −0.571705 | + | 0.716896i | ||||
\(47\) | −0.00664289 | + | 0.0291044i | −0.000968965 | + | 0.00424531i | −0.975410 | − | 0.220398i | \(-0.929264\pi\) |
0.974441 | + | 0.224643i | \(0.0721216\pi\) | |||||||
\(48\) | 1.48980 | − | 0.717449i | 0.215034 | − | 0.103555i | ||||
\(49\) | 4.60838 | 0.658340 | ||||||||
\(50\) | −1.00000 | −0.141421 | ||||||||
\(51\) | 2.12305 | − | 1.02240i | 0.297286 | − | 0.143165i | ||||
\(52\) | −0.295968 | − | 1.29672i | −0.0410434 | − | 0.179823i | ||||
\(53\) | 4.64400 | + | 2.23643i | 0.637902 | + | 0.307197i | 0.724737 | − | 0.689025i | \(-0.241961\pi\) |
−0.0868354 | + | 0.996223i | \(0.527675\pi\) | |||||||
\(54\) | 1.20164 | + | 5.26472i | 0.163522 | + | 0.716438i | ||||
\(55\) | −1.86767 | − | 2.34199i | −0.251837 | − | 0.315794i | ||||
\(56\) | −3.06970 | + | 1.47829i | −0.410206 | + | 0.197545i | ||||
\(57\) | 2.73225 | + | 3.42614i | 0.361896 | + | 0.453803i | ||||
\(58\) | −0.0270606 | + | 0.118560i | −0.00355323 | + | 0.0155677i | ||||
\(59\) | −0.907394 | − | 0.436978i | −0.118133 | − | 0.0568897i | 0.373884 | − | 0.927475i | \(-0.378026\pi\) |
−0.492017 | + | 0.870586i | \(0.663740\pi\) | |||||||
\(60\) | −1.48980 | − | 0.717449i | −0.192332 | − | 0.0926223i | ||||
\(61\) | 1.93412 | − | 2.42531i | 0.247639 | − | 0.310530i | −0.642440 | − | 0.766336i | \(-0.722078\pi\) |
0.890079 | + | 0.455807i | \(0.150649\pi\) | |||||||
\(62\) | −1.45164 | + | 6.36007i | −0.184359 | + | 0.807730i | ||||
\(63\) | −0.201491 | − | 0.882789i | −0.0253854 | − | 0.111221i | ||||
\(64\) | 0.623490 | − | 0.781831i | 0.0779362 | − | 0.0977289i | ||||
\(65\) | −0.829284 | + | 1.03989i | −0.102860 | + | 0.128982i | ||||
\(66\) | −1.10220 | − | 4.82906i | −0.135672 | − | 0.594416i | ||||
\(67\) | 0.693925 | − | 3.04028i | 0.0847764 | − | 0.371430i | −0.914688 | − | 0.404161i | \(-0.867563\pi\) |
0.999464 | + | 0.0327314i | \(0.0104206\pi\) | |||||||
\(68\) | 0.888507 | − | 1.11415i | 0.107747 | − | 0.135111i | ||||
\(69\) | 9.26509 | + | 4.46183i | 1.11539 | + | 0.537141i | ||||
\(70\) | 3.06970 | + | 1.47829i | 0.366899 | + | 0.176689i | ||||
\(71\) | −1.41564 | + | 6.20234i | −0.168006 | + | 0.736082i | 0.818787 | + | 0.574097i | \(0.194647\pi\) |
−0.986793 | + | 0.161985i | \(0.948210\pi\) | |||||||
\(72\) | 0.165702 | + | 0.207784i | 0.0195282 | + | 0.0244876i | ||||
\(73\) | 2.38045 | − | 1.14636i | 0.278611 | − | 0.134172i | −0.289361 | − | 0.957220i | \(-0.593443\pi\) |
0.567971 | + | 0.823048i | \(0.307728\pi\) | |||||||
\(74\) | 4.42774 | + | 5.55221i | 0.514714 | + | 0.645431i | ||||
\(75\) | 0.367950 | + | 1.61209i | 0.0424872 | + | 0.186149i | ||||
\(76\) | 2.38772 | + | 1.14987i | 0.273890 | + | 0.131899i | ||||
\(77\) | 2.27106 | + | 9.95016i | 0.258811 | + | 1.13393i | ||||
\(78\) | −1.98153 | + | 0.954257i | −0.224365 | + | 0.108048i | ||||
\(79\) | 5.72984 | 0.644658 | 0.322329 | − | 0.946628i | \(-0.395534\pi\) | ||||
0.322329 | + | 0.946628i | \(0.395534\pi\) | |||||||
\(80\) | −1.00000 | −0.111803 | ||||||||
\(81\) | 7.32674 | − | 3.52837i | 0.814083 | − | 0.392042i | ||||
\(82\) | −0.116326 | + | 0.509658i | −0.0128461 | + | 0.0562824i | ||||
\(83\) | −5.94910 | + | 7.45993i | −0.652998 | + | 0.818834i | −0.992561 | − | 0.121750i | \(-0.961149\pi\) |
0.339563 | + | 0.940583i | \(0.389721\pi\) | |||||||
\(84\) | 3.51263 | + | 4.40470i | 0.383260 | + | 0.480593i | ||||
\(85\) | −1.42505 | −0.154569 | ||||||||
\(86\) | 5.25124 | + | 3.92741i | 0.566255 | + | 0.423503i | ||||
\(87\) | 0.201087 | 0.0215588 | ||||||||
\(88\) | −1.86767 | − | 2.34199i | −0.199095 | − | 0.249657i | ||||
\(89\) | −7.62823 | + | 9.56549i | −0.808590 | + | 1.01394i | 0.190887 | + | 0.981612i | \(0.438864\pi\) |
−0.999477 | + | 0.0323283i | \(0.989708\pi\) | |||||||
\(90\) | 0.0591384 | − | 0.259102i | 0.00623373 | − | 0.0273118i | ||||
\(91\) | 4.08291 | − | 1.96622i | 0.428005 | − | 0.206116i | ||||
\(92\) | 6.21902 | 0.648377 | ||||||||
\(93\) | 10.7872 | 1.11858 | ||||||||
\(94\) | 0.0268965 | − | 0.0129527i | 0.00277416 | − | 0.00133597i | ||||
\(95\) | −0.589719 | − | 2.58373i | −0.0605038 | − | 0.265085i | ||||
\(96\) | −1.48980 | − | 0.717449i | −0.152052 | − | 0.0732244i | ||||
\(97\) | −0.537661 | − | 2.35565i | −0.0545912 | − | 0.239180i | 0.940270 | − | 0.340430i | \(-0.110573\pi\) |
−0.994861 | + | 0.101251i | \(0.967716\pi\) | |||||||
\(98\) | −2.87328 | − | 3.60297i | −0.290245 | − | 0.363955i | ||||
\(99\) | 0.717266 | − | 0.345417i | 0.0720879 | − | 0.0347157i | ||||
\(100\) | 0.623490 | + | 0.781831i | 0.0623490 | + | 0.0781831i | ||||
\(101\) | −2.24607 | + | 9.84066i | −0.223492 | + | 0.979182i | 0.731335 | + | 0.682019i | \(0.238898\pi\) |
−0.954827 | + | 0.297163i | \(0.903959\pi\) | |||||||
\(102\) | −2.12305 | − | 1.02240i | −0.210213 | − | 0.101233i | ||||
\(103\) | 14.3323 | + | 6.90207i | 1.41220 | + | 0.680082i | 0.975597 | − | 0.219571i | \(-0.0704656\pi\) |
0.436607 | + | 0.899652i | \(0.356180\pi\) | |||||||
\(104\) | −0.829284 | + | 1.03989i | −0.0813180 | + | 0.101970i | ||||
\(105\) | 1.25364 | − | 5.49258i | 0.122343 | − | 0.536021i | ||||
\(106\) | −1.14697 | − | 5.02521i | −0.111404 | − | 0.488092i | ||||
\(107\) | 4.94924 | − | 6.20615i | 0.478461 | − | 0.599971i | −0.482759 | − | 0.875753i | \(-0.660365\pi\) |
0.961220 | + | 0.275782i | \(0.0889368\pi\) | |||||||
\(108\) | 3.36692 | − | 4.22198i | 0.323982 | − | 0.406260i | ||||
\(109\) | −3.77202 | − | 16.5263i | −0.361294 | − | 1.58293i | −0.749915 | − | 0.661534i | \(-0.769906\pi\) |
0.388621 | − | 0.921398i | \(-0.372951\pi\) | |||||||
\(110\) | −0.666565 | + | 2.92041i | −0.0635545 | + | 0.278451i | ||||
\(111\) | 7.32150 | − | 9.18087i | 0.694926 | − | 0.871410i | ||||
\(112\) | 3.06970 | + | 1.47829i | 0.290059 | + | 0.139685i | ||||
\(113\) | 9.27644 | + | 4.46730i | 0.872654 | + | 0.420248i | 0.815936 | − | 0.578142i | \(-0.196222\pi\) |
0.0567180 | + | 0.998390i | \(0.481936\pi\) | |||||||
\(114\) | 0.975130 | − | 4.27233i | 0.0913293 | − | 0.400140i | ||||
\(115\) | −3.87749 | − | 4.86222i | −0.361578 | − | 0.453405i | ||||
\(116\) | 0.109566 | − | 0.0527642i | 0.0101730 | − | 0.00489904i | ||||
\(117\) | −0.220395 | − | 0.276367i | −0.0203755 | − | 0.0255501i | ||||
\(118\) | 0.224108 | + | 0.981880i | 0.0206308 | + | 0.0903894i | ||||
\(119\) | 4.37449 | + | 2.10664i | 0.401009 | + | 0.193116i | ||||
\(120\) | 0.367950 | + | 1.61209i | 0.0335891 | + | 0.147163i | ||||
\(121\) | 1.82615 | − | 0.879427i | 0.166013 | − | 0.0799479i | ||||
\(122\) | −3.10209 | −0.280850 | ||||||||
\(123\) | 0.864419 | 0.0779421 | ||||||||
\(124\) | 5.87759 | − | 2.83050i | 0.527823 | − | 0.254186i | ||||
\(125\) | 0.222521 | − | 0.974928i | 0.0199029 | − | 0.0872002i | ||||
\(126\) | −0.564564 | + | 0.707941i | −0.0502954 | + | 0.0630684i | ||||
\(127\) | −12.9070 | − | 16.1849i | −1.14531 | − | 1.43617i | −0.881867 | − | 0.471499i | \(-0.843713\pi\) |
−0.263443 | − | 0.964675i | \(-0.584858\pi\) | |||||||
\(128\) | −1.00000 | −0.0883883 | ||||||||
\(129\) | 4.39916 | − | 9.91058i | 0.387324 | − | 0.872578i | ||||
\(130\) | 1.33007 | 0.116655 | ||||||||
\(131\) | 10.4004 | + | 13.0417i | 0.908691 | + | 1.13946i | 0.989758 | + | 0.142754i | \(0.0455958\pi\) |
−0.0810670 | + | 0.996709i | \(0.525833\pi\) | |||||||
\(132\) | −3.08830 | + | 3.87260i | −0.268802 | + | 0.337067i | ||||
\(133\) | −2.00923 | + | 8.80303i | −0.174223 | + | 0.763319i | ||||
\(134\) | −2.80965 | + | 1.35305i | −0.242716 | + | 0.116886i | ||||
\(135\) | −5.40011 | −0.464768 | ||||||||
\(136\) | −1.42505 | −0.122197 | ||||||||
\(137\) | −19.0922 | + | 9.19431i | −1.63116 | + | 0.785523i | −0.631205 | + | 0.775616i | \(0.717439\pi\) |
−0.999951 | + | 0.00990728i | \(0.996846\pi\) | |||||||
\(138\) | −2.28829 | − | 10.0256i | −0.194792 | − | 0.853439i | ||||
\(139\) | 3.17116 | + | 1.52715i | 0.268974 | + | 0.129531i | 0.563510 | − | 0.826109i | \(-0.309451\pi\) |
−0.294536 | + | 0.955641i | \(0.595165\pi\) | |||||||
\(140\) | −0.758153 | − | 3.32168i | −0.0640756 | − | 0.280733i | ||||
\(141\) | −0.0307775 | − | 0.0385938i | −0.00259193 | − | 0.00325018i | ||||
\(142\) | 5.73182 | − | 2.76030i | 0.481004 | − | 0.231639i | ||||
\(143\) | 2.48414 | + | 3.11501i | 0.207734 | + | 0.260490i | ||||
\(144\) | 0.0591384 | − | 0.259102i | 0.00492820 | − | 0.0215918i | ||||
\(145\) | −0.109566 | − | 0.0527642i | −0.00909897 | − | 0.00438183i | ||||
\(146\) | −2.38045 | − | 1.14636i | −0.197008 | − | 0.0948738i | ||||
\(147\) | −4.75111 | + | 5.95771i | −0.391865 | + | 0.491383i | ||||
\(148\) | 1.58024 | − | 6.92349i | 0.129895 | − | 0.569108i | ||||
\(149\) | −3.80238 | − | 16.6593i | −0.311503 | − | 1.36478i | −0.852046 | − | 0.523468i | \(-0.824638\pi\) |
0.540543 | − | 0.841317i | \(-0.318219\pi\) | |||||||
\(150\) | 1.03097 | − | 1.29280i | 0.0841786 | − | 0.105557i | ||||
\(151\) | −8.76372 | + | 10.9894i | −0.713181 | + | 0.894301i | −0.997931 | − | 0.0643012i | \(-0.979518\pi\) |
0.284749 | + | 0.958602i | \(0.408090\pi\) | |||||||
\(152\) | −0.589719 | − | 2.58373i | −0.0478325 | − | 0.209568i | ||||
\(153\) | 0.0842754 | − | 0.369235i | 0.00681326 | − | 0.0298509i | ||||
\(154\) | 6.36337 | − | 7.97941i | 0.512775 | − | 0.642999i | ||||
\(155\) | −5.87759 | − | 2.83050i | −0.472099 | − | 0.227351i | ||||
\(156\) | 1.98153 | + | 0.954257i | 0.158650 | + | 0.0764017i | ||||
\(157\) | 0.675811 | − | 2.96092i | 0.0539356 | − | 0.236307i | −0.940774 | − | 0.339034i | \(-0.889900\pi\) |
0.994710 | + | 0.102727i | \(0.0327568\pi\) | |||||||
\(158\) | −3.57250 | − | 4.47977i | −0.284213 | − | 0.356391i | ||||
\(159\) | −7.67909 | + | 3.69805i | −0.608991 | + | 0.293275i | ||||
\(160\) | 0.623490 | + | 0.781831i | 0.0492912 | + | 0.0618092i | ||||
\(161\) | 4.71496 | + | 20.6576i | 0.371591 | + | 1.62805i | ||||
\(162\) | −7.32674 | − | 3.52837i | −0.575643 | − | 0.277215i | ||||
\(163\) | 3.31057 | + | 14.5045i | 0.259304 | + | 1.13608i | 0.921998 | + | 0.387194i | \(0.126555\pi\) |
−0.662695 | + | 0.748889i | \(0.730587\pi\) | |||||||
\(164\) | 0.470995 | − | 0.226819i | 0.0367785 | − | 0.0177116i | ||||
\(165\) | 4.95325 | 0.385610 | ||||||||
\(166\) | 9.54161 | 0.740572 | ||||||||
\(167\) | −16.1052 | + | 7.75587i | −1.24626 | + | 0.600167i | −0.936507 | − | 0.350649i | \(-0.885961\pi\) |
−0.309754 | + | 0.950817i | \(0.600247\pi\) | |||||||
\(168\) | 1.25364 | − | 5.49258i | 0.0967208 | − | 0.423761i | ||||
\(169\) | −7.00236 | + | 8.78068i | −0.538643 | + | 0.675437i | ||||
\(170\) | 0.888507 | + | 1.11415i | 0.0681454 | + | 0.0854516i | ||||
\(171\) | 0.704324 | 0.0538610 | ||||||||
\(172\) | −0.203522 | − | 6.55428i | −0.0155184 | − | 0.499759i | ||||
\(173\) | 0.129346 | 0.00983398 | 0.00491699 | − | 0.999988i | \(-0.498435\pi\) | ||||
0.00491699 | + | 0.999988i | \(0.498435\pi\) | |||||||
\(174\) | −0.125376 | − | 0.157216i | −0.00950471 | − | 0.0119185i | ||||
\(175\) | −2.12430 | + | 2.66378i | −0.160582 | + | 0.201363i | ||||
\(176\) | −0.666565 | + | 2.92041i | −0.0502443 | + | 0.220134i | ||||
\(177\) | 1.50042 | − | 0.722566i | 0.112779 | − | 0.0543114i | ||||
\(178\) | 12.2347 | 0.917031 | ||||||||
\(179\) | 9.56173 | 0.714677 | 0.357339 | − | 0.933975i | \(-0.383684\pi\) | ||||
0.357339 | + | 0.933975i | \(0.383684\pi\) | |||||||
\(180\) | −0.239446 | + | 0.115311i | −0.0178473 | + | 0.00859480i | ||||
\(181\) | −3.33287 | − | 14.6023i | −0.247730 | − | 1.08538i | −0.933787 | − | 0.357829i | \(-0.883517\pi\) |
0.686057 | − | 0.727548i | \(-0.259340\pi\) | |||||||
\(182\) | −4.08291 | − | 1.96622i | −0.302645 | − | 0.145746i | ||||
\(183\) | 1.14142 | + | 5.00087i | 0.0843759 | + | 0.369675i | ||||
\(184\) | −3.87749 | − | 4.86222i | −0.285853 | − | 0.358448i | ||||
\(185\) | −6.39827 | + | 3.08124i | −0.470410 | + | 0.226538i | ||||
\(186\) | −6.72569 | − | 8.43375i | −0.493151 | − | 0.618392i | ||||
\(187\) | −0.949892 | + | 4.16175i | −0.0694630 | + | 0.304337i | ||||
\(188\) | −0.0268965 | − | 0.0129527i | −0.00196163 | − | 0.000944671i | ||||
\(189\) | 16.5767 | + | 7.98292i | 1.20578 | + | 0.580672i | ||||
\(190\) | −1.65235 | + | 2.07199i | −0.119874 | + | 0.150318i | ||||
\(191\) | −5.16484 | + | 22.6286i | −0.373715 | + | 1.63735i | 0.342534 | + | 0.939505i | \(0.388715\pi\) |
−0.716249 | + | 0.697845i | \(0.754142\pi\) | |||||||
\(192\) | 0.367950 | + | 1.61209i | 0.0265545 | + | 0.116343i | ||||
\(193\) | 5.28787 | − | 6.63078i | 0.380629 | − | 0.477294i | −0.554204 | − | 0.832381i | \(-0.686977\pi\) |
0.934833 | + | 0.355087i | \(0.115549\pi\) | |||||||
\(194\) | −1.50649 | + | 1.88908i | −0.108160 | + | 0.135628i | ||||
\(195\) | −0.489399 | − | 2.14420i | −0.0350466 | − | 0.153549i | ||||
\(196\) | −1.02546 | + | 4.49283i | −0.0732472 | + | 0.320917i | ||||
\(197\) | 8.11984 | − | 10.1820i | 0.578515 | − | 0.725435i | −0.403344 | − | 0.915048i | \(-0.632152\pi\) |
0.981859 | + | 0.189614i | \(0.0607236\pi\) | |||||||
\(198\) | −0.717266 | − | 0.345417i | −0.0509739 | − | 0.0245477i | ||||
\(199\) | −21.2641 | − | 10.2402i | −1.50737 | − | 0.725911i | −0.515949 | − | 0.856619i | \(-0.672561\pi\) |
−0.991421 | + | 0.130708i | \(0.958275\pi\) | |||||||
\(200\) | 0.222521 | − | 0.974928i | 0.0157346 | − | 0.0689378i | ||||
\(201\) | 3.21506 | + | 4.03156i | 0.226773 | + | 0.284364i | ||||
\(202\) | 9.09413 | − | 4.37950i | 0.639861 | − | 0.308141i | ||||
\(203\) | 0.258334 | + | 0.323941i | 0.0181315 | + | 0.0227362i | ||||
\(204\) | 0.524349 | + | 2.29732i | 0.0367118 | + | 0.160845i | ||||
\(205\) | −0.470995 | − | 0.226819i | −0.0328957 | − | 0.0158417i | ||||
\(206\) | −3.53979 | − | 15.5088i | −0.246629 | − | 1.08055i | ||||
\(207\) | 1.48912 | − | 0.717123i | 0.103501 | − | 0.0498435i | ||||
\(208\) | 1.33007 | 0.0922237 | ||||||||
\(209\) | −7.93864 | −0.549127 | ||||||||
\(210\) | −5.07590 | + | 2.44443i | −0.350271 | + | 0.168681i | ||||
\(211\) | −0.160784 | + | 0.704442i | −0.0110688 | + | 0.0484958i | −0.980161 | − | 0.198204i | \(-0.936489\pi\) |
0.969092 | + | 0.246700i | \(0.0793462\pi\) | |||||||
\(212\) | −3.21374 | + | 4.02991i | −0.220721 | + | 0.276775i | ||||
\(213\) | −6.55889 | − | 8.22458i | −0.449408 | − | 0.563539i | ||||
\(214\) | −7.93796 | −0.542628 | ||||||||
\(215\) | −4.99745 | + | 4.24565i | −0.340823 | + | 0.289551i | ||||
\(216\) | −5.40011 | −0.367431 | ||||||||
\(217\) | 13.8581 | + | 17.3775i | 0.940751 | + | 1.17966i | ||||
\(218\) | −10.5690 | + | 13.2531i | −0.715820 | + | 0.897610i | ||||
\(219\) | −0.972161 | + | 4.25932i | −0.0656926 | + | 0.287818i | ||||
\(220\) | 2.69887 | − | 1.29971i | 0.181958 | − | 0.0876262i | ||||
\(221\) | 1.89542 | 0.127500 | ||||||||
\(222\) | −11.7428 | −0.788123 | ||||||||
\(223\) | −21.2226 | + | 10.2203i | −1.42117 | + | 0.684401i | −0.977333 | − | 0.211706i | \(-0.932098\pi\) |
−0.443839 | + | 0.896106i | \(0.646384\pi\) | |||||||
\(224\) | −0.758153 | − | 3.32168i | −0.0506562 | − | 0.221939i | ||||
\(225\) | 0.239446 | + | 0.115311i | 0.0159631 | + | 0.00768742i | ||||
\(226\) | −2.29109 | − | 10.0379i | −0.152401 | − | 0.667713i | ||||
\(227\) | −9.43567 | − | 11.8320i | −0.626267 | − | 0.785314i | 0.362944 | − | 0.931811i | \(-0.381772\pi\) |
−0.989211 | + | 0.146497i | \(0.953200\pi\) | |||||||
\(228\) | −3.94822 | + | 1.90136i | −0.261477 | + | 0.125921i | ||||
\(229\) | −5.86952 | − | 7.36015i | −0.387869 | − | 0.486372i | 0.549114 | − | 0.835748i | \(-0.314965\pi\) |
−0.936983 | + | 0.349375i | \(0.886394\pi\) | |||||||
\(230\) | −1.38386 | + | 6.06309i | −0.0912491 | + | 0.399789i | ||||
\(231\) | −15.2050 | − | 7.32232i | −1.00041 | − | 0.481774i | ||||
\(232\) | −0.109566 | − | 0.0527642i | −0.00719337 | − | 0.00346414i | ||||
\(233\) | −0.0509282 | + | 0.0638620i | −0.00333642 | + | 0.00418374i | −0.783497 | − | 0.621396i | \(-0.786566\pi\) |
0.780160 | + | 0.625579i | \(0.215137\pi\) | |||||||
\(234\) | −0.0786581 | + | 0.344624i | −0.00514204 | + | 0.0225287i | ||||
\(235\) | 0.00664289 | + | 0.0291044i | 0.000433334 | + | 0.00189856i | ||||
\(236\) | 0.627936 | − | 0.787407i | 0.0408752 | − | 0.0512558i | ||||
\(237\) | −5.90731 | + | 7.40754i | −0.383721 | + | 0.481171i | ||||
\(238\) | −1.08041 | − | 4.73358i | −0.0700325 | − | 0.306832i | ||||
\(239\) | 3.94004 | − | 17.2624i | 0.254860 | − | 1.11661i | −0.671806 | − | 0.740727i | \(-0.734481\pi\) |
0.926666 | − | 0.375887i | \(-0.122662\pi\) | |||||||
\(240\) | 1.03097 | − | 1.29280i | 0.0665490 | − | 0.0834498i | ||||
\(241\) | −16.7061 | − | 8.04525i | −1.07614 | − | 0.518240i | −0.190057 | − | 0.981773i | \(-0.560867\pi\) |
−0.886080 | + | 0.463533i | \(0.846582\pi\) | |||||||
\(242\) | −1.82615 | − | 0.879427i | −0.117389 | − | 0.0565317i | ||||
\(243\) | 0.612719 | − | 2.68450i | 0.0393059 | − | 0.172211i | ||||
\(244\) | 1.93412 | + | 2.42531i | 0.123820 | + | 0.155265i | ||||
\(245\) | 4.15200 | − | 1.99950i | 0.265262 | − | 0.127743i | ||||
\(246\) | −0.538957 | − | 0.675830i | −0.0343626 | − | 0.0430894i | ||||
\(247\) | 0.784366 | + | 3.43653i | 0.0499080 | + | 0.218661i | ||||
\(248\) | −5.87759 | − | 2.83050i | −0.373227 | − | 0.179737i | ||||
\(249\) | −3.51083 | − | 15.3820i | −0.222490 | − | 0.974793i | ||||
\(250\) | −0.900969 | + | 0.433884i | −0.0569823 | + | 0.0274412i | ||||
\(251\) | −1.58337 | −0.0999416 | −0.0499708 | − | 0.998751i | \(-0.515913\pi\) | ||||
−0.0499708 | + | 0.998751i | \(0.515913\pi\) | |||||||
\(252\) | 0.905491 | 0.0570406 | ||||||||
\(253\) | −16.7843 | + | 8.08290i | −1.05522 | + | 0.508167i | ||||
\(254\) | −4.60645 | + | 20.1822i | −0.289034 | + | 1.26634i | ||||
\(255\) | 1.46919 | − | 1.84231i | 0.0920044 | − | 0.115370i | ||||
\(256\) | 0.623490 | + | 0.781831i | 0.0389681 | + | 0.0488645i | ||||
\(257\) | 21.5645 | 1.34516 | 0.672579 | − | 0.740025i | \(-0.265187\pi\) | ||||
0.672579 | + | 0.740025i | \(0.265187\pi\) | |||||||
\(258\) | −10.4912 | + | 2.73974i | −0.653155 | + | 0.170569i | ||||
\(259\) | 24.1957 | 1.50345 | ||||||||
\(260\) | −0.829284 | − | 1.03989i | −0.0514300 | − | 0.0644912i | ||||
\(261\) | 0.0201509 | − | 0.0252684i | 0.00124731 | − | 0.00156408i | ||||
\(262\) | 3.71188 | − | 16.2628i | 0.229320 | − | 1.00472i | ||||
\(263\) | 22.0141 | − | 10.6014i | 1.35745 | − | 0.653711i | 0.393380 | − | 0.919376i | \(-0.371306\pi\) |
0.964066 | + | 0.265664i | \(0.0855913\pi\) | |||||||
\(264\) | 4.95325 | 0.304851 | ||||||||
\(265\) | 5.15445 | 0.316635 | ||||||||
\(266\) | 8.13522 | − | 3.91772i | 0.498802 | − | 0.240211i | ||||
\(267\) | −4.50177 | − | 19.7235i | −0.275504 | − | 1.20706i | ||||
\(268\) | 2.80965 | + | 1.35305i | 0.171626 | + | 0.0826509i | ||||
\(269\) | 0.907995 | + | 3.97819i | 0.0553615 | + | 0.242554i | 0.995036 | − | 0.0995153i | \(-0.0317292\pi\) |
−0.939675 | + | 0.342070i | \(0.888872\pi\) | |||||||
\(270\) | 3.36692 | + | 4.22198i | 0.204904 | + | 0.256941i | ||||
\(271\) | −21.0103 | + | 10.1180i | −1.27629 | + | 0.614627i | −0.944433 | − | 0.328703i | \(-0.893388\pi\) |
−0.331854 | + | 0.943331i | \(0.607674\pi\) | |||||||
\(272\) | 0.888507 | + | 1.11415i | 0.0538737 | + | 0.0675554i | ||||
\(273\) | −1.66743 | + | 7.30550i | −0.100918 | + | 0.442149i | ||||
\(274\) | 19.0922 | + | 9.19431i | 1.15340 | + | 0.555449i | ||||
\(275\) | −2.69887 | − | 1.29971i | −0.162748 | − | 0.0783753i | ||||
\(276\) | −6.41164 | + | 8.03994i | −0.385935 | + | 0.483948i | ||||
\(277\) | 6.15293 | − | 26.9577i | 0.369694 | − | 1.61973i | −0.357924 | − | 0.933751i | \(-0.616515\pi\) |
0.727618 | − | 0.685983i | \(-0.240627\pi\) | |||||||
\(278\) | −0.783212 | − | 3.43148i | −0.0469739 | − | 0.205806i | ||||
\(279\) | 1.08098 | − | 1.35551i | 0.0647165 | − | 0.0811520i | ||||
\(280\) | −2.12430 | + | 2.66378i | −0.126951 | + | 0.159192i | ||||
\(281\) | −2.16042 | − | 9.46543i | −0.128880 | − | 0.564660i | −0.997593 | − | 0.0693441i | \(-0.977909\pi\) |
0.868713 | − | 0.495316i | \(-0.164948\pi\) | |||||||
\(282\) | −0.0109844 | + | 0.0481256i | −0.000654109 | + | 0.00286584i | ||||
\(283\) | 3.02734 | − | 3.79617i | 0.179957 | − | 0.225659i | −0.683669 | − | 0.729792i | \(-0.739617\pi\) |
0.863626 | + | 0.504134i | \(0.168188\pi\) | |||||||
\(284\) | −5.73182 | − | 2.76030i | −0.340121 | − | 0.163794i | ||||
\(285\) | 3.94822 | + | 1.90136i | 0.233872 | + | 0.112627i | ||||
\(286\) | 0.886578 | − | 3.88435i | 0.0524244 | − | 0.229686i | ||||
\(287\) | 1.11051 | + | 1.39253i | 0.0655512 | + | 0.0821986i | ||||
\(288\) | −0.239446 | + | 0.115311i | −0.0141095 | + | 0.00679478i | ||||
\(289\) | −9.33316 | − | 11.7034i | −0.549009 | − | 0.688436i | ||||
\(290\) | 0.0270606 | + | 0.118560i | 0.00158905 | + | 0.00696209i | ||||
\(291\) | 3.59969 | + | 1.73352i | 0.211018 | + | 0.101621i | ||||
\(292\) | 0.587923 | + | 2.57586i | 0.0344056 | + | 0.150741i | ||||
\(293\) | 27.4321 | − | 13.2106i | 1.60260 | − | 0.771771i | 0.602938 | − | 0.797788i | \(-0.293997\pi\) |
0.999661 | + | 0.0260173i | \(0.00828249\pi\) | |||||||
\(294\) | 7.62019 | 0.444419 | ||||||||
\(295\) | −1.00713 | −0.0586374 | ||||||||
\(296\) | −6.39827 | + | 3.08124i | −0.371892 | + | 0.179094i | ||||
\(297\) | −3.59953 | + | 15.7706i | −0.208866 | + | 0.915101i | ||||
\(298\) | −10.6540 | + | 13.3597i | −0.617171 | + | 0.773909i | ||||
\(299\) | 5.15733 | + | 6.46709i | 0.298256 | + | 0.374002i | ||||
\(300\) | −1.65355 | −0.0954679 | ||||||||
\(301\) | 21.6169 | − | 5.64518i | 1.24598 | − | 0.325383i | ||||
\(302\) | 14.0559 | 0.808827 | ||||||||
\(303\) | −10.4064 | − | 13.0492i | −0.597830 | − | 0.749655i | ||||
\(304\) | −1.65235 | + | 2.07199i | −0.0947690 | + | 0.118837i | ||||
\(305\) | 0.690281 | − | 3.02432i | 0.0395254 | − | 0.173172i | ||||
\(306\) | −0.341224 | + | 0.164325i | −0.0195065 | + | 0.00939383i | ||||
\(307\) | 30.6408 | 1.74876 | 0.874381 | − | 0.485241i | \(-0.161268\pi\) | ||||
0.874381 | + | 0.485241i | \(0.161268\pi\) | |||||||
\(308\) | −10.2060 | −0.581544 | ||||||||
\(309\) | −23.6992 | + | 11.4129i | −1.34820 | + | 0.649259i | ||||
\(310\) | 1.45164 | + | 6.36007i | 0.0824479 | + | 0.361228i | ||||
\(311\) | −23.0073 | − | 11.0797i | −1.30462 | − | 0.628274i | −0.353025 | − | 0.935614i | \(-0.614847\pi\) |
−0.951600 | + | 0.307340i | \(0.900561\pi\) | |||||||
\(312\) | −0.489399 | − | 2.14420i | −0.0277067 | − | 0.121391i | ||||
\(313\) | 5.57413 | + | 6.98973i | 0.315068 | + | 0.395083i | 0.913998 | − | 0.405718i | \(-0.132979\pi\) |
−0.598930 | + | 0.800801i | \(0.704407\pi\) | |||||||
\(314\) | −2.73630 | + | 1.31773i | −0.154419 | + | 0.0743640i | ||||
\(315\) | −0.564564 | − | 0.707941i | −0.0318096 | − | 0.0398880i | ||||
\(316\) | −1.27501 | + | 5.58618i | −0.0717249 | + | 0.314247i | ||||
\(317\) | 8.58445 | + | 4.13406i | 0.482151 | + | 0.232192i | 0.659139 | − | 0.752021i | \(-0.270921\pi\) |
−0.176988 | + | 0.984213i | \(0.556635\pi\) | |||||||
\(318\) | 7.67909 | + | 3.69805i | 0.430622 | + | 0.207377i | ||||
\(319\) | −0.227126 | + | 0.284808i | −0.0127166 | + | 0.0159462i | ||||
\(320\) | 0.222521 | − | 0.974928i | 0.0124393 | − | 0.0545001i | ||||
\(321\) | 2.92077 | + | 12.7967i | 0.163022 | + | 0.714245i | ||||
\(322\) | 13.2110 | − | 16.5661i | 0.736222 | − | 0.923194i | ||||
\(323\) | −2.35470 | + | 2.95270i | −0.131019 | + | 0.164292i | ||||
\(324\) | 1.80956 | + | 7.92818i | 0.100531 | + | 0.440455i | ||||
\(325\) | −0.295968 | + | 1.29672i | −0.0164174 | + | 0.0719291i | ||||
\(326\) | 9.27600 | − | 11.6317i | 0.513750 | − | 0.644222i | ||||
\(327\) | 25.2540 | + | 12.1617i | 1.39655 | + | 0.672543i | ||||
\(328\) | −0.470995 | − | 0.226819i | −0.0260064 | − | 0.0125240i | ||||
\(329\) | 0.0226330 | − | 0.0991618i | 0.00124780 | − | 0.00546697i | ||||
\(330\) | −3.08830 | − | 3.87260i | −0.170005 | − | 0.213180i | ||||
\(331\) | −8.44409 | + | 4.06646i | −0.464129 | + | 0.223513i | −0.651309 | − | 0.758813i | \(-0.725780\pi\) |
0.187179 | + | 0.982326i | \(0.440065\pi\) | |||||||
\(332\) | −5.94910 | − | 7.45993i | −0.326499 | − | 0.409417i | ||||
\(333\) | −0.419974 | − | 1.84003i | −0.0230144 | − | 0.100833i | ||||
\(334\) | 16.1052 | + | 7.75587i | 0.881239 | + | 0.424382i | ||||
\(335\) | −0.693925 | − | 3.04028i | −0.0379132 | − | 0.166108i | ||||
\(336\) | −5.07590 | + | 2.44443i | −0.276913 | + | 0.133354i | ||||
\(337\) | 10.4337 | 0.568359 | 0.284179 | − | 0.958771i | \(-0.408279\pi\) | ||||
0.284179 | + | 0.958771i | \(0.408279\pi\) | |||||||
\(338\) | 11.2309 | 0.610881 | ||||||||
\(339\) | −15.3391 | + | 7.38691i | −0.833104 | + | 0.401202i | ||||
\(340\) | 0.317105 | − | 1.38933i | 0.0171974 | − | 0.0753468i | ||||
\(341\) | −12.1840 | + | 15.2783i | −0.659802 | + | 0.827366i | ||||
\(342\) | −0.439139 | − | 0.550663i | −0.0237459 | − | 0.0297764i | ||||
\(343\) | 8.14852 | 0.439979 | ||||||||
\(344\) | −4.99745 | + | 4.24565i | −0.269444 | + | 0.228910i | ||||
\(345\) | 10.2835 | 0.553643 | ||||||||
\(346\) | −0.0806458 | − | 0.101127i | −0.00433554 | − | 0.00543660i | ||||
\(347\) | 12.3481 | − | 15.4840i | 0.662880 | − | 0.831226i | −0.330773 | − | 0.943710i | \(-0.607309\pi\) |
0.993653 | + | 0.112485i | \(0.0358809\pi\) | |||||||
\(348\) | −0.0447461 | + | 0.196045i | −0.00239864 | + | 0.0105091i | ||||
\(349\) | −11.6085 | + | 5.59037i | −0.621390 | + | 0.299245i | −0.717964 | − | 0.696080i | \(-0.754926\pi\) |
0.0965743 | + | 0.995326i | \(0.469211\pi\) | |||||||
\(350\) | 3.40711 | 0.182118 | ||||||||
\(351\) | 7.18252 | 0.383375 | ||||||||
\(352\) | 2.69887 | − | 1.29971i | 0.143850 | − | 0.0692746i | ||||
\(353\) | −4.66603 | − | 20.4432i | −0.248348 | − | 1.08808i | −0.933188 | − | 0.359390i | \(-0.882985\pi\) |
0.684840 | − | 0.728694i | \(-0.259872\pi\) | |||||||
\(354\) | −1.50042 | − | 0.722566i | −0.0797466 | − | 0.0384039i | ||||
\(355\) | 1.41564 | + | 6.20234i | 0.0751345 | + | 0.329186i | ||||
\(356\) | −7.62823 | − | 9.56549i | −0.404295 | − | 0.506970i | ||||
\(357\) | −7.23344 | + | 3.48344i | −0.382834 | + | 0.184363i | ||||
\(358\) | −5.96164 | − | 7.47566i | −0.315083 | − | 0.395101i | ||||
\(359\) | 0.399309 | − | 1.74949i | 0.0210747 | − | 0.0923344i | −0.963297 | − | 0.268439i | \(-0.913492\pi\) |
0.984372 | + | 0.176104i | \(0.0563495\pi\) | |||||||
\(360\) | 0.239446 | + | 0.115311i | 0.0126199 | + | 0.00607744i | ||||
\(361\) | 10.7905 | + | 5.19645i | 0.567923 | + | 0.273497i | ||||
\(362\) | −9.33849 | + | 11.7101i | −0.490820 | + | 0.615469i | ||||
\(363\) | −0.745787 | + | 3.26751i | −0.0391437 | + | 0.171500i | ||||
\(364\) | 1.00839 | + | 4.41807i | 0.0528543 | + | 0.231570i | ||||
\(365\) | 1.64732 | − | 2.06568i | 0.0862248 | − | 0.108123i | ||||
\(366\) | 3.19817 | − | 4.01038i | 0.167171 | − | 0.209626i | ||||
\(367\) | 6.40854 | + | 28.0776i | 0.334523 | + | 1.46564i | 0.810269 | + | 0.586058i | \(0.199321\pi\) |
−0.475746 | + | 0.879583i | \(0.657822\pi\) | |||||||
\(368\) | −1.38386 | + | 6.06309i | −0.0721388 | + | 0.316061i | ||||
\(369\) | 0.0866233 | − | 0.108622i | 0.00450943 | − | 0.00565464i | ||||
\(370\) | 6.39827 | + | 3.08124i | 0.332630 | + | 0.160186i | ||||
\(371\) | −15.8226 | − | 7.61976i | −0.821468 | − | 0.395598i | ||||
\(372\) | −2.40037 | + | 10.5167i | −0.124453 | + | 0.545266i | ||||
\(373\) | −13.4338 | − | 16.8455i | −0.695577 | − | 0.872226i | 0.301107 | − | 0.953590i | \(-0.402644\pi\) |
−0.996684 | + | 0.0813643i | \(0.974072\pi\) | |||||||
\(374\) | 3.84604 | − | 1.85215i | 0.198874 | − | 0.0957726i | ||||
\(375\) | 1.03097 | + | 1.29280i | 0.0532392 | + | 0.0667599i | ||||
\(376\) | 0.00664289 | + | 0.0291044i | 0.000342581 | + | 0.00150094i | ||||
\(377\) | 0.145730 | + | 0.0701801i | 0.00750550 | + | 0.00361446i | ||||
\(378\) | −4.09411 | − | 17.9375i | −0.210578 | − | 0.922604i | ||||
\(379\) | 3.66291 | − | 1.76396i | 0.188151 | − | 0.0906088i | −0.337436 | − | 0.941348i | \(-0.609560\pi\) |
0.525588 | + | 0.850740i | \(0.323846\pi\) | |||||||
\(380\) | 2.65017 | 0.135951 | ||||||||
\(381\) | 34.2305 | 1.75368 | ||||||||
\(382\) | 20.9120 | − | 10.0707i | 1.06995 | − | 0.515261i | ||||
\(383\) | 2.33851 | − | 10.2457i | 0.119492 | − | 0.523531i | −0.879383 | − | 0.476115i | \(-0.842044\pi\) |
0.998875 | − | 0.0474152i | \(-0.0150984\pi\) | |||||||
\(384\) | 1.03097 | − | 1.29280i | 0.0526116 | − | 0.0659729i | ||||
\(385\) | 6.36337 | + | 7.97941i | 0.324307 | + | 0.406668i | ||||
\(386\) | −8.48108 | −0.431676 | ||||||||
\(387\) | −0.804515 | − | 1.54593i | −0.0408958 | − | 0.0785840i | ||||
\(388\) | 2.41623 | 0.122665 | ||||||||
\(389\) | −2.12507 | − | 2.66475i | −0.107745 | − | 0.135108i | 0.725035 | − | 0.688712i | \(-0.241824\pi\) |
−0.832780 | + | 0.553604i | \(0.813252\pi\) | |||||||
\(390\) | −1.37126 | + | 1.71951i | −0.0694367 | + | 0.0870708i | ||||
\(391\) | −1.97208 | + | 8.64024i | −0.0997323 | + | 0.436956i | ||||
\(392\) | 4.15200 | − | 1.99950i | 0.209708 | − | 0.100990i | ||||
\(393\) | −27.5829 | −1.39138 | ||||||||
\(394\) | −13.0232 | −0.656100 | ||||||||
\(395\) | 5.16241 | − | 2.48609i | 0.259749 | − | 0.125089i | ||||
\(396\) | 0.177150 | + | 0.776145i | 0.00890212 | + | 0.0390028i | ||||
\(397\) | 8.33113 | + | 4.01206i | 0.418127 | + | 0.201360i | 0.631105 | − | 0.775698i | \(-0.282602\pi\) |
−0.212977 | + | 0.977057i | \(0.568316\pi\) | |||||||
\(398\) | 5.25179 | + | 23.0096i | 0.263248 | + | 1.15337i | ||||
\(399\) | −9.30908 | − | 11.6732i | −0.466037 | − | 0.584392i | ||||
\(400\) | −0.900969 | + | 0.433884i | −0.0450484 | + | 0.0216942i | ||||
\(401\) | 14.9050 | + | 18.6903i | 0.744320 | + | 0.933348i | 0.999437 | − | 0.0335621i | \(-0.0106851\pi\) |
−0.255116 | + | 0.966910i | \(0.582114\pi\) | |||||||
\(402\) | 1.14744 | − | 5.02727i | 0.0572292 | − | 0.250737i | ||||
\(403\) | 7.81760 | + | 3.76476i | 0.389422 | + | 0.187536i | ||||
\(404\) | −9.09413 | − | 4.37950i | −0.452450 | − | 0.217888i | ||||
\(405\) | 5.07026 | − | 6.35791i | 0.251943 | − | 0.315927i | ||||
\(406\) | 0.0921983 | − | 0.403947i | 0.00457573 | − | 0.0200476i | ||||
\(407\) | 4.73364 | + | 20.7394i | 0.234638 | + | 1.02802i | ||||
\(408\) | 1.46919 | − | 1.84231i | 0.0727359 | − | 0.0912079i | ||||
\(409\) | −4.43750 | + | 5.56445i | −0.219420 | + | 0.275144i | −0.879343 | − | 0.476189i | \(-0.842018\pi\) |
0.659922 | + | 0.751334i | \(0.270589\pi\) | |||||||
\(410\) | 0.116326 | + | 0.509658i | 0.00574494 | + | 0.0251702i | ||||
\(411\) | 7.79713 | − | 34.1615i | 0.384604 | − | 1.68506i | ||||
\(412\) | −9.91826 | + | 12.4371i | −0.488638 | + | 0.612732i | ||||
\(413\) | 3.09159 | + | 1.48883i | 0.152127 | + | 0.0732605i | ||||
\(414\) | −1.48912 | − | 0.717123i | −0.0731863 | − | 0.0352447i | ||||
\(415\) | −2.12321 | + | 9.30238i | −0.104224 | + | 0.456636i | ||||
\(416\) | −0.829284 | − | 1.03989i | −0.0406590 | − | 0.0509848i | ||||
\(417\) | −5.24368 | + | 2.52522i | −0.256784 | + | 0.123661i | ||||
\(418\) | 4.94966 | + | 6.20667i | 0.242096 | + | 0.303578i | ||||
\(419\) | 0.503622 | + | 2.20651i | 0.0246035 | + | 0.107795i | 0.985739 | − | 0.168283i | \(-0.0538223\pi\) |
−0.961135 | + | 0.276078i | \(0.910965\pi\) | |||||||
\(420\) | 5.07590 | + | 2.44443i | 0.247679 | + | 0.119276i | ||||
\(421\) | −4.54261 | − | 19.9025i | −0.221393 | − | 0.969987i | −0.956430 | − | 0.291960i | \(-0.905693\pi\) |
0.735037 | − | 0.678027i | \(-0.237165\pi\) | |||||||
\(422\) | 0.651002 | − | 0.313506i | 0.0316903 | − | 0.0152612i | ||||
\(423\) | −0.00793386 | −0.000385757 | ||||||||
\(424\) | 5.15445 | 0.250322 | ||||||||
\(425\) | −1.28393 | + | 0.618308i | −0.0622798 | + | 0.0299923i | ||||
\(426\) | −2.34084 | + | 10.2559i | −0.113414 | + | 0.496899i | ||||
\(427\) | −6.58977 | + | 8.26331i | −0.318901 | + | 0.399889i | ||||
\(428\) | 4.94924 | + | 6.20615i | 0.239231 | + | 0.299986i | ||||
\(429\) | −6.58816 | −0.318079 | ||||||||
\(430\) | 6.43524 | + | 1.26005i | 0.310335 | + | 0.0607648i | ||||
\(431\) | 19.4888 | 0.938742 | 0.469371 | − | 0.883001i | \(-0.344481\pi\) | ||||
0.469371 | + | 0.883001i | \(0.344481\pi\) | |||||||
\(432\) | 3.36692 | + | 4.22198i | 0.161991 | + | 0.203130i | ||||
\(433\) | −17.9085 | + | 22.4566i | −0.860629 | + | 1.07920i | 0.135455 | + | 0.990784i | \(0.456751\pi\) |
−0.996084 | + | 0.0884117i | \(0.971821\pi\) | |||||||
\(434\) | 4.94591 | − | 21.6694i | 0.237411 | − | 1.04017i | ||||
\(435\) | 0.181173 | − | 0.0872484i | 0.00868659 | − | 0.00418324i | ||||
\(436\) | 16.9513 | 0.811820 | ||||||||
\(437\) | −16.4815 | −0.788415 | ||||||||
\(438\) | 3.93620 | − | 1.89557i | 0.188079 | − | 0.0905740i | ||||
\(439\) | 3.67775 | + | 16.1133i | 0.175530 | + | 0.769045i | 0.983659 | + | 0.180041i | \(0.0576229\pi\) |
−0.808130 | + | 0.589005i | \(0.799520\pi\) | |||||||
\(440\) | −2.69887 | − | 1.29971i | −0.128664 | − | 0.0619611i | ||||
\(441\) | 0.272532 | + | 1.19404i | 0.0129777 | + | 0.0568591i | ||||
\(442\) | −1.18178 | − | 1.48190i | −0.0562113 | − | 0.0704868i | ||||
\(443\) | 5.19543 | − | 2.50199i | 0.246842 | − | 0.118873i | −0.306372 | − | 0.951912i | \(-0.599115\pi\) |
0.553215 | + | 0.833039i | \(0.313401\pi\) | |||||||
\(444\) | 7.32150 | + | 9.18087i | 0.347463 | + | 0.435705i | ||||
\(445\) | −2.72248 | + | 11.9280i | −0.129058 | + | 0.565440i | ||||
\(446\) | 21.2226 | + | 10.2203i | 1.00492 | + | 0.483944i | ||||
\(447\) | 25.4573 | + | 12.2596i | 1.20409 | + | 0.579859i | ||||
\(448\) | −2.12430 | + | 2.66378i | −0.100364 | + | 0.125852i | ||||
\(449\) | 0.377098 | − | 1.65217i | 0.0177964 | − | 0.0779709i | −0.965250 | − | 0.261328i | \(-0.915839\pi\) |
0.983046 | + | 0.183357i | \(0.0586966\pi\) | |||||||
\(450\) | −0.0591384 | − | 0.259102i | −0.00278781 | − | 0.0122142i | ||||
\(451\) | −0.976355 | + | 1.22431i | −0.0459748 | + | 0.0576506i | ||||
\(452\) | −6.41950 | + | 8.04979i | −0.301948 | + | 0.378630i | ||||
\(453\) | −5.17187 | − | 22.6594i | −0.242996 | − | 1.06463i | ||||
\(454\) | −3.36755 | + | 14.7542i | −0.158047 | + | 0.692449i | ||||
\(455\) | 2.82546 | − | 3.54301i | 0.132460 | − | 0.166099i | ||||
\(456\) | 3.94822 | + | 1.90136i | 0.184892 | + | 0.0890395i | ||||
\(457\) | −16.9037 | − | 8.14038i | −0.790720 | − | 0.380791i | −0.00548235 | − | 0.999985i | \(-0.501745\pi\) |
−0.785238 | + | 0.619194i | \(0.787459\pi\) | |||||||
\(458\) | −2.09481 | + | 9.17796i | −0.0978840 | + | 0.428858i | ||||
\(459\) | 4.79804 | + | 6.01655i | 0.223953 | + | 0.280829i | ||||
\(460\) | 5.60314 | − | 2.69833i | 0.261248 | − | 0.125810i | ||||
\(461\) | 3.36687 | + | 4.22192i | 0.156811 | + | 0.196634i | 0.854030 | − | 0.520223i | \(-0.174151\pi\) |
−0.697220 | + | 0.716858i | \(0.745580\pi\) | |||||||
\(462\) | 3.75532 | + | 16.4531i | 0.174713 | + | 0.765468i | ||||
\(463\) | 6.71546 | + | 3.23400i | 0.312094 | + | 0.150297i | 0.583373 | − | 0.812204i | \(-0.301732\pi\) |
−0.271279 | + | 0.962501i | \(0.587447\pi\) | |||||||
\(464\) | 0.0270606 | + | 0.118560i | 0.00125626 | + | 0.00550402i | ||||
\(465\) | 9.71890 | − | 4.68038i | 0.450703 | − | 0.217047i | ||||
\(466\) | 0.0816826 | 0.00378387 | ||||||||
\(467\) | 27.6906 | 1.28137 | 0.640684 | − | 0.767805i | \(-0.278651\pi\) | ||||
0.640684 | + | 0.767805i | \(0.278651\pi\) | |||||||
\(468\) | 0.318480 | − | 0.153372i | 0.0147217 | − | 0.00708962i | ||||
\(469\) | −2.36428 | + | 10.3586i | −0.109172 | + | 0.478314i | ||||
\(470\) | 0.0186130 | − | 0.0233399i | 0.000858552 | − | 0.00107659i | ||||
\(471\) | 3.13113 | + | 3.92632i | 0.144275 | + | 0.180915i | ||||
\(472\) | −1.00713 | −0.0463570 | ||||||||
\(473\) | 9.06792 | + | 17.4246i | 0.416943 | + | 0.801185i | ||||
\(474\) | 9.47459 | 0.435182 | ||||||||
\(475\) | −1.65235 | − | 2.07199i | −0.0758152 | − | 0.0950693i | ||||
\(476\) | −3.02724 | + | 3.79604i | −0.138753 | + | 0.173991i | ||||
\(477\) | −0.304826 | + | 1.33553i | −0.0139570 | + | 0.0611496i | ||||
\(478\) | −15.9529 | + | 7.68250i | −0.729668 | + | 0.351390i | ||||
\(479\) | −34.4958 | −1.57615 | −0.788076 | − | 0.615578i | \(-0.788923\pi\) | ||||
−0.788076 | + | 0.615578i | \(0.788923\pi\) | |||||||
\(480\) | −1.65355 | −0.0754740 | ||||||||
\(481\) | 8.51014 | − | 4.09827i | 0.388029 | − | 0.186865i | ||||
\(482\) | 4.12607 | + | 18.0775i | 0.187938 | + | 0.823408i | ||||
\(483\) | −31.5671 | − | 15.2019i | −1.43635 | − | 0.691712i | ||||
\(484\) | 0.451021 | + | 1.97605i | 0.0205010 | + | 0.0898206i | ||||
\(485\) | −1.50649 | − | 1.88908i | −0.0684063 | − | 0.0857788i | ||||
\(486\) | −2.48085 | + | 1.19471i | −0.112534 | + | 0.0541933i | ||||
\(487\) | −20.6707 | − | 25.9203i | −0.936681 | − | 1.17456i | −0.984443 | − | 0.175702i | \(-0.943780\pi\) |
0.0477625 | − | 0.998859i | \(-0.484791\pi\) | |||||||
\(488\) | 0.690281 | − | 3.02432i | 0.0312475 | − | 0.136904i | ||||
\(489\) | −22.1646 | − | 10.6739i | −1.00232 | − | 0.482690i | ||||
\(490\) | −4.15200 | − | 1.99950i | −0.187568 | − | 0.0903282i | ||||
\(491\) | −17.9973 | + | 22.5679i | −0.812207 | + | 1.01847i | 0.187140 | + | 0.982333i | \(0.440078\pi\) |
−0.999347 | + | 0.0361416i | \(0.988493\pi\) | |||||||
\(492\) | −0.192351 | + | 0.842747i | −0.00867187 | + | 0.0379940i | ||||
\(493\) | 0.0385628 | + | 0.168955i | 0.00173678 | + | 0.00760934i | ||||
\(494\) | 2.19774 | − | 2.75588i | 0.0988812 | − | 0.123993i | ||||
\(495\) | 0.496363 | − | 0.622420i | 0.0223099 | − | 0.0279757i | ||||
\(496\) | 1.45164 | + | 6.36007i | 0.0651808 | + | 0.285576i | ||||
\(497\) | 4.82325 | − | 21.1320i | 0.216352 | − | 0.947901i | ||||
\(498\) | −9.83714 | + | 12.3354i | −0.440813 | + | 0.552762i | ||||
\(499\) | 25.2326 | + | 12.1514i | 1.12957 | + | 0.543971i | 0.902835 | − | 0.429986i | \(-0.141482\pi\) |
0.226732 | + | 0.973957i | \(0.427196\pi\) | |||||||
\(500\) | 0.900969 | + | 0.433884i | 0.0402926 | + | 0.0194039i | ||||
\(501\) | 6.57728 | − | 28.8169i | 0.293851 | − | 1.28745i | ||||
\(502\) | 0.987217 | + | 1.23793i | 0.0440616 | + | 0.0552515i | ||||
\(503\) | 18.2058 | − | 8.76746i | 0.811757 | − | 0.390922i | 0.0185153 | − | 0.999829i | \(-0.494106\pi\) |
0.793242 | + | 0.608907i | \(0.208392\pi\) | |||||||
\(504\) | −0.564564 | − | 0.707941i | −0.0251477 | − | 0.0315342i | ||||
\(505\) | 2.24607 | + | 9.84066i | 0.0999486 | + | 0.437903i | ||||
\(506\) | 16.7843 | + | 8.08290i | 0.746154 | + | 0.359329i | ||||
\(507\) | −4.13242 | − | 18.1053i | −0.183527 | − | 0.804084i | ||||
\(508\) | 18.6511 | − | 8.98192i | 0.827511 | − | 0.398508i | ||||
\(509\) | 18.6061 | 0.824703 | 0.412352 | − | 0.911025i | \(-0.364708\pi\) | ||||
0.412352 | + | 0.911025i | \(0.364708\pi\) | |||||||
\(510\) | −2.35640 | −0.104343 | ||||||||
\(511\) | −8.11045 | + | 3.90579i | −0.358785 | + | 0.172782i | ||||
\(512\) | 0.222521 | − | 0.974928i | 0.00983413 | − | 0.0430861i | ||||
\(513\) | −8.92290 | + | 11.1890i | −0.393956 | + | 0.494005i | ||||
\(514\) | −13.4453 | − | 16.8598i | −0.593045 | − | 0.743655i | ||||
\(515\) | 15.9077 | 0.700975 | ||||||||
\(516\) | 8.68319 | + | 6.49417i | 0.382256 | + | 0.285890i | ||||
\(517\) | 0.0894248 | 0.00393290 | ||||||||
\(518\) | −15.0858 | − | 18.9170i | −0.662831 | − | 0.831164i | ||||
\(519\) | −0.133352 | + | 0.167218i | −0.00585350 | + | 0.00734006i | ||||
\(520\) | −0.295968 | + | 1.29672i | −0.0129791 | + | 0.0568650i | ||||
\(521\) | −27.4146 | + | 13.2022i | −1.20106 | + | 0.578399i | −0.923977 | − | 0.382448i | \(-0.875081\pi\) |
−0.277080 | + | 0.960847i | \(0.589367\pi\) | |||||||
\(522\) | −0.0323195 | −0.00141459 | ||||||||
\(523\) | −14.1270 | −0.617733 | −0.308866 | − | 0.951105i | \(-0.599950\pi\) | ||||
−0.308866 | + | 0.951105i | \(0.599950\pi\) | |||||||
\(524\) | −15.0291 | + | 7.23762i | −0.656548 | + | 0.316177i | ||||
\(525\) | −1.25364 | − | 5.49258i | −0.0547135 | − | 0.239716i | ||||
\(526\) | −22.0141 | − | 10.6014i | −0.959859 | − | 0.462244i | ||||
\(527\) | 2.06867 | + | 9.06345i | 0.0901128 | + | 0.394810i | ||||
\(528\) | −3.08830 | − | 3.87260i | −0.134401 | − | 0.168533i | ||||
\(529\) | −14.1238 | + | 6.80164i | −0.614076 | + | 0.295724i | ||||
\(530\) | −3.21374 | − | 4.02991i | −0.139596 | − | 0.175048i | ||||
\(531\) | 0.0595601 | − | 0.260950i | 0.00258469 | − | 0.0113243i | ||||
\(532\) | −8.13522 | − | 3.91772i | −0.352707 | − | 0.169855i | ||||
\(533\) | 0.626456 | + | 0.301685i | 0.0271348 | + | 0.0130674i | ||||
\(534\) | −12.6137 | + | 15.8170i | −0.545847 | + | 0.684470i | ||||
\(535\) | 1.76636 | − | 7.73894i | 0.0763665 | − | 0.334584i | ||||
\(536\) | −0.693925 | − | 3.04028i | −0.0299730 | − | 0.131320i | ||||
\(537\) | −9.85788 | + | 12.3614i | −0.425399 | + | 0.533434i | ||||
\(538\) | 2.54415 | − | 3.19026i | 0.109686 | − | 0.137542i | ||||
\(539\) | −3.07178 | − | 13.4584i | −0.132311 | − | 0.579693i | ||||
\(540\) | 1.20164 | − | 5.26472i | 0.0517103 | − | 0.226558i | ||||
\(541\) | 23.0711 | − | 28.9303i | 0.991905 | − | 1.24381i | 0.0221429 | − | 0.999755i | \(-0.492951\pi\) |
0.969762 | − | 0.244054i | \(-0.0784775\pi\) | |||||||
\(542\) | 21.0103 | + | 10.1180i | 0.902471 | + | 0.434607i | ||||
\(543\) | 22.3139 | + | 10.7458i | 0.957580 | + | 0.461146i | ||||
\(544\) | 0.317105 | − | 1.38933i | 0.0135957 | − | 0.0595669i | ||||
\(545\) | −10.5690 | − | 13.2531i | −0.452725 | − | 0.567699i | ||||
\(546\) | 6.75130 | − | 3.25125i | 0.288929 | − | 0.139141i | ||||
\(547\) | −20.0937 | − | 25.1967i | −0.859143 | − | 1.07733i | −0.996228 | − | 0.0867720i | \(-0.972345\pi\) |
0.137085 | − | 0.990559i | \(-0.456227\pi\) | |||||||
\(548\) | −4.71538 | − | 20.6594i | −0.201431 | − | 0.882527i | ||||
\(549\) | 0.742785 | + | 0.357706i | 0.0317013 | + | 0.0152665i | ||||
\(550\) | 0.666565 | + | 2.92041i | 0.0284224 | + | 0.124527i | ||||
\(551\) | −0.290369 | + | 0.139834i | −0.0123701 | + | 0.00595714i | ||||
\(552\) | 10.2835 | 0.437694 | ||||||||
\(553\) | −19.5222 | −0.830168 | ||||||||
\(554\) | −24.9127 | + | 11.9973i | −1.05844 | + | 0.509717i | ||||
\(555\) | 2.61301 | − | 11.4484i | 0.110916 | − | 0.485956i | ||||
\(556\) | −2.19451 | + | 2.75183i | −0.0930680 | + | 0.116704i | ||||
\(557\) | −3.97353 | − | 4.98265i | −0.168364 | − | 0.211122i | 0.690491 | − | 0.723341i | \(-0.257395\pi\) |
−0.858854 | + | 0.512220i | \(0.828823\pi\) | |||||||
\(558\) | −1.73376 | −0.0733957 | ||||||||
\(559\) | 6.64695 | − | 5.64700i | 0.281136 | − | 0.238843i | ||||
\(560\) | 3.40711 | 0.143977 | ||||||||
\(561\) | −4.40099 | − | 5.51867i | −0.185810 | − | 0.232999i | ||||
\(562\) | −6.05337 | + | 7.59069i | −0.255346 | + | 0.320194i | ||||
\(563\) | 4.94765 | − | 21.6771i | 0.208519 | − | 0.913580i | −0.757035 | − | 0.653375i | \(-0.773353\pi\) |
0.965553 | − | 0.260205i | \(-0.0837902\pi\) | |||||||
\(564\) | 0.0444748 | − | 0.0214179i | 0.00187273 | − | 0.000901857i | ||||
\(565\) | 10.2961 | 0.433159 | ||||||||
\(566\) | −4.85548 | −0.204091 | ||||||||
\(567\) | −24.9630 | + | 12.0215i | −1.04835 | + | 0.504858i | ||||
\(568\) | 1.41564 | + | 6.20234i | 0.0593991 | + | 0.260244i | ||||
\(569\) | −21.0358 | − | 10.1303i | −0.881866 | − | 0.424684i | −0.0625601 | − | 0.998041i | \(-0.519927\pi\) |
−0.819306 | + | 0.573357i | \(0.805641\pi\) | |||||||
\(570\) | −0.975130 | − | 4.27233i | −0.0408437 | − | 0.178948i | ||||
\(571\) | −15.9496 | − | 20.0002i | −0.667470 | − | 0.836981i | 0.326663 | − | 0.945141i | \(-0.394076\pi\) |
−0.994134 | + | 0.108160i | \(0.965504\pi\) | |||||||
\(572\) | −3.58968 | + | 1.72870i | −0.150092 | + | 0.0722805i | ||||
\(573\) | −23.9295 | − | 30.0066i | −0.999668 | − | 1.25354i | ||||
\(574\) | 0.396336 | − | 1.73646i | 0.0165427 | − | 0.0724785i | ||||
\(575\) | −5.60314 | − | 2.69833i | −0.233667 | − | 0.112528i | ||||
\(576\) | 0.239446 | + | 0.115311i | 0.00997693 | + | 0.00480464i | ||||
\(577\) | −22.9817 | + | 28.8181i | −0.956741 | + | 1.19971i | 0.0230593 | + | 0.999734i | \(0.492659\pi\) |
−0.979800 | + | 0.199981i | \(0.935912\pi\) | |||||||
\(578\) | −3.33096 | + | 14.5939i | −0.138550 | + | 0.607027i | ||||
\(579\) | 3.12061 | + | 13.6723i | 0.129688 | + | 0.568202i | ||||
\(580\) | 0.0758221 | − | 0.0950779i | 0.00314834 | − | 0.00394789i | ||||
\(581\) | 20.2692 | − | 25.4168i | 0.840908 | − | 1.05447i | ||||
\(582\) | −0.889051 | − | 3.89519i | −0.0368524 | − | 0.161461i | ||||
\(583\) | 3.43578 | − | 15.0531i | 0.142295 | − | 0.623436i | ||||
\(584\) | 1.64732 | − | 2.06568i | 0.0681667 | − | 0.0854784i | ||||
\(585\) | −0.318480 | − | 0.153372i | −0.0131675 | − | 0.00634115i | ||||
\(586\) | −27.4321 | − | 13.2106i | −1.13321 | − | 0.545725i | ||||
\(587\) | 1.42381 | − | 6.23813i | 0.0587670 | − | 0.257475i | −0.937007 | − | 0.349310i | \(-0.886416\pi\) |
0.995774 | + | 0.0918348i | \(0.0292732\pi\) | |||||||
\(588\) | −4.75111 | − | 5.95771i | −0.195933 | − | 0.245692i | ||||
\(589\) | −15.5766 | + | 7.50130i | −0.641823 | + | 0.309086i | ||||
\(590\) | 0.627936 | + | 0.787407i | 0.0258517 | + | 0.0324170i | ||||
\(591\) | 4.79189 | + | 20.9947i | 0.197112 | + | 0.863605i | ||||
\(592\) | 6.39827 | + | 3.08124i | 0.262967 | + | 0.126638i | ||||
\(593\) | 9.48638 | + | 41.5625i | 0.389559 | + | 1.70677i | 0.666181 | + | 0.745790i | \(0.267928\pi\) |
−0.276622 | + | 0.960979i | \(0.589215\pi\) | |||||||
\(594\) | 14.5742 | − | 7.01856i | 0.597986 | − | 0.287975i | ||||
\(595\) | 4.85531 | 0.199048 | ||||||||
\(596\) | 17.0877 | 0.699941 | ||||||||
\(597\) | 35.1612 | − | 16.9328i | 1.43905 | − | 0.693012i | ||||
\(598\) | 1.84063 | − | 8.06433i | 0.0752690 | − | 0.329775i | ||||
\(599\) | 10.7127 | − | 13.4333i | 0.437708 | − | 0.548869i | −0.513229 | − | 0.858252i | \(-0.671551\pi\) |
0.950938 | + | 0.309383i | \(0.100122\pi\) | |||||||
\(600\) | 1.03097 | + | 1.29280i | 0.0420893 | + | 0.0527783i | ||||
\(601\) | 39.1924 | 1.59869 | 0.799346 | − | 0.600871i | \(-0.205180\pi\) | ||||
0.799346 | + | 0.600871i | \(0.205180\pi\) | |||||||
\(602\) | −17.8915 | − | 13.3811i | −0.729204 | − | 0.545373i | ||||
\(603\) | 0.828782 | 0.0337506 | ||||||||
\(604\) | −8.76372 | − | 10.9894i | −0.356591 | − | 0.447150i | ||||
\(605\) | 1.26373 | − | 1.58467i | 0.0513781 | − | 0.0644261i | ||||
\(606\) | −3.71399 | + | 16.2720i | −0.150870 | + | 0.661006i | ||||
\(607\) | 23.8880 | − | 11.5039i | 0.969584 | − | 0.466927i | 0.119074 | − | 0.992885i | \(-0.462007\pi\) |
0.850510 | + | 0.525958i | \(0.176293\pi\) | |||||||
\(608\) | 2.65017 | 0.107479 | ||||||||
\(609\) | −0.685125 | −0.0277627 | ||||||||
\(610\) | −2.79489 | + | 1.34595i | −0.113162 | + | 0.0544958i | ||||
\(611\) | −0.00883550 | − | 0.0387108i | −0.000357446 | − | 0.00156607i | ||||
\(612\) | 0.341224 | + | 0.164325i | 0.0137932 | + | 0.00664244i | ||||
\(613\) | −2.20464 | − | 9.65916i | −0.0890446 | − | 0.390130i | 0.910692 | − | 0.413086i | \(-0.135549\pi\) |
−0.999736 | + | 0.0229565i | \(0.992692\pi\) | |||||||
\(614\) | −19.1042 | − | 23.9559i | −0.770983 | − | 0.966782i | ||||
\(615\) | 0.778815 | − | 0.375058i | 0.0314049 | − | 0.0151238i | ||||
\(616\) | 6.36337 | + | 7.97941i | 0.256387 | + | 0.321500i | ||||
\(617\) | −3.81833 | + | 16.7292i | −0.153720 | + | 0.673492i | 0.838064 | + | 0.545571i | \(0.183687\pi\) |
−0.991784 | + | 0.127920i | \(0.959170\pi\) | |||||||
\(618\) | 23.6992 | + | 11.4129i | 0.953322 | + | 0.459096i | ||||
\(619\) | 27.7289 | + | 13.3535i | 1.11452 | + | 0.536724i | 0.898195 | − | 0.439598i | \(-0.144879\pi\) |
0.216324 | + | 0.976322i | \(0.430593\pi\) | |||||||
\(620\) | 4.06742 | − | 5.10038i | 0.163351 | − | 0.204836i | ||||
\(621\) | −7.47301 | + | 32.7414i | −0.299882 | + | 1.31387i | ||||
\(622\) | 5.68234 | + | 24.8959i | 0.227841 | + | 0.998236i | ||||
\(623\) | 25.9902 | − | 32.5907i | 1.04127 | − | 1.30572i | ||||
\(624\) | −1.37126 | + | 1.71951i | −0.0548945 | + | 0.0688355i | ||||
\(625\) | −0.222521 | − | 0.974928i | −0.00890084 | − | 0.0389971i | ||||
\(626\) | 1.98938 | − | 8.71606i | 0.0795117 | − | 0.348364i | ||||
\(627\) | 8.18452 | − | 10.2631i | 0.326858 | − | 0.409867i | ||||
\(628\) | 2.73630 | + | 1.31773i | 0.109190 | + | 0.0525833i | ||||
\(629\) | 9.11789 | + | 4.39094i | 0.363554 | + | 0.175078i | ||||
\(630\) | −0.201491 | + | 0.882789i | −0.00802758 | + | 0.0351711i | ||||
\(631\) | −15.9427 | − | 19.9915i | −0.634667 | − | 0.795847i | 0.355658 | − | 0.934616i | \(-0.384257\pi\) |
−0.990325 | + | 0.138769i | \(0.955685\pi\) | |||||||
\(632\) | 5.16241 | − | 2.48609i | 0.205350 | − | 0.0988912i | ||||
\(633\) | −0.744938 | − | 0.934122i | −0.0296086 | − | 0.0371280i | ||||
\(634\) | −2.12019 | − | 9.28914i | −0.0842033 | − | 0.368919i | ||||
\(635\) | −18.6511 | − | 8.98192i | −0.740148 | − | 0.356436i | ||||
\(636\) | −1.89658 | − | 8.30945i | −0.0752042 | − | 0.329491i | ||||
\(637\) | −5.52245 | + | 2.65947i | −0.218807 | + | 0.105372i | ||||
\(638\) | 0.364283 | 0.0144221 | ||||||||
\(639\) | −1.69076 | −0.0668853 | ||||||||
\(640\) | −0.900969 | + | 0.433884i | −0.0356139 | + | 0.0171508i | ||||
\(641\) | −1.25676 | + | 5.50623i | −0.0496391 | + | 0.217483i | −0.993664 | − | 0.112391i | \(-0.964149\pi\) |
0.944025 | + | 0.329874i | \(0.107006\pi\) | |||||||
\(642\) | 8.18383 | − | 10.2622i | 0.322990 | − | 0.405016i | ||||
\(643\) | 28.8586 | + | 36.1876i | 1.13807 | + | 1.42710i | 0.888580 | + | 0.458723i | \(0.151693\pi\) |
0.249494 | + | 0.968376i | \(0.419736\pi\) | |||||||
\(644\) | −21.1889 | −0.834958 | ||||||||
\(645\) | −0.336534 | − | 10.8378i | −0.0132510 | − | 0.426740i | ||||
\(646\) | 3.77664 | 0.148590 | ||||||||
\(647\) | 29.6843 | + | 37.2229i | 1.16701 | + | 1.46338i | 0.858982 | + | 0.512005i | \(0.171097\pi\) |
0.308027 | + | 0.951378i | \(0.400331\pi\) | |||||||
\(648\) | 5.07026 | − | 6.35791i | 0.199179 | − | 0.249762i | ||||
\(649\) | −0.671319 | + | 2.94124i | −0.0263516 | + | 0.115454i | ||||
\(650\) | 1.19835 | − | 0.577095i | 0.0470032 | − | 0.0226355i | ||||
\(651\) | −36.7530 | −1.44046 | ||||||||
\(652\) | −14.8775 | −0.582650 | ||||||||
\(653\) | −29.3219 | + | 14.1207i | −1.14745 | + | 0.552584i | −0.908268 | − | 0.418390i | \(-0.862595\pi\) |
−0.239186 | + | 0.970974i | \(0.576880\pi\) | |||||||
\(654\) | −6.23723 | − | 27.3271i | −0.243895 | − | 1.06857i | ||||
\(655\) | 15.0291 | + | 7.23762i | 0.587235 | + | 0.282797i | ||||
\(656\) | 0.116326 | + | 0.509658i | 0.00454177 | + | 0.0198988i | ||||
\(657\) | 0.437802 | + | 0.548986i | 0.0170803 | + | 0.0214180i | ||||
\(658\) | −0.0916393 | + | 0.0441311i | −0.00357247 | + | 0.00172041i | ||||
\(659\) | −15.3941 | − | 19.3035i | −0.599668 | − | 0.751959i | 0.385658 | − | 0.922642i | \(-0.373974\pi\) |
−0.985326 | + | 0.170682i | \(0.945403\pi\) | |||||||
\(660\) | −1.10220 | + | 4.82906i | −0.0429031 | + | 0.187971i | ||||
\(661\) | −26.9626 | − | 12.9845i | −1.04872 | − | 0.505039i | −0.171533 | − | 0.985178i | \(-0.554872\pi\) |
−0.877192 | + | 0.480139i | \(0.840586\pi\) | |||||||
\(662\) | 8.44409 | + | 4.06646i | 0.328189 | + | 0.158047i | ||||
\(663\) | −1.95413 | + | 2.45040i | −0.0758920 | + | 0.0951656i | ||||
\(664\) | −2.12321 | + | 9.30238i | −0.0823964 | + | 0.361002i | ||||
\(665\) | 2.00923 | + | 8.80303i | 0.0779148 | + | 0.341367i | ||||
\(666\) | −1.17674 | + | 1.47559i | −0.0455978 | + | 0.0571778i | ||||
\(667\) | −0.471539 | + | 0.591291i | −0.0182581 | + | 0.0228949i | ||||
\(668\) | −3.97766 | − | 17.4273i | −0.153900 | − | 0.674282i | ||||
\(669\) | 8.66719 | − | 37.9734i | 0.335093 | − | 1.46814i | ||||
\(670\) | −1.94433 | + | 2.43812i | −0.0751162 | + | 0.0941927i | ||||
\(671\) | −8.37214 | − | 4.03181i | −0.323203 | − | 0.155646i | ||||
\(672\) | 5.07590 | + | 2.44443i | 0.195807 | + | 0.0942958i | ||||
\(673\) | −3.67029 | + | 16.0806i | −0.141479 | + | 0.619861i | 0.853613 | + | 0.520908i | \(0.174406\pi\) |
−0.995092 | + | 0.0989529i | \(0.968451\pi\) | |||||||
\(674\) | −6.50529 | − | 8.15738i | −0.250575 | − | 0.314211i | ||||
\(675\) | −4.86533 | + | 2.34302i | −0.187267 | + | 0.0901829i | ||||
\(676\) | −7.00236 | − | 8.78068i | −0.269322 | − | 0.337719i | ||||
\(677\) | −4.77889 | − | 20.9377i | −0.183668 | − | 0.804701i | −0.979865 | − | 0.199663i | \(-0.936015\pi\) |
0.796197 | − | 0.605038i | \(-0.206842\pi\) | |||||||
\(678\) | 15.3391 | + | 7.38691i | 0.589094 | + | 0.283693i | ||||
\(679\) | 1.83187 | + | 8.02594i | 0.0703007 | + | 0.308007i | ||||
\(680\) | −1.28393 | + | 0.618308i | −0.0492365 | + | 0.0237110i | ||||
\(681\) | 25.0243 | 0.958931 | ||||||||
\(682\) | 19.5417 | 0.748289 | ||||||||
\(683\) | −41.7283 | + | 20.0953i | −1.59669 | + | 0.768925i | −0.999451 | − | 0.0331387i | \(-0.989450\pi\) |
−0.597238 | + | 0.802064i | \(0.703735\pi\) | |||||||
\(684\) | −0.156727 | + | 0.686665i | −0.00599260 | + | 0.0262553i | ||||
\(685\) | −13.2122 | + | 16.5676i | −0.504812 | + | 0.633015i | ||||
\(686\) | −5.08052 | − | 6.37077i | −0.193975 | − | 0.243237i | ||||
\(687\) | 15.5665 | 0.593900 | ||||||||
\(688\) | 6.43524 | + | 1.26005i | 0.245341 | + | 0.0480388i | ||||
\(689\) | −6.85577 | −0.261184 | ||||||||
\(690\) | −6.41164 | − | 8.03994i | −0.244087 | − | 0.306075i | ||||
\(691\) | 10.7514 | − | 13.4818i | 0.409001 | − | 0.512871i | −0.534080 | − | 0.845434i | \(-0.679342\pi\) |
0.943081 | + | 0.332563i | \(0.107913\pi\) | |||||||
\(692\) | −0.0287821 | + | 0.126103i | −0.00109413 | + | 0.00479371i | ||||
\(693\) | −2.44380 | + | 1.17687i | −0.0928323 | + | 0.0447057i | ||||
\(694\) | −19.8048 | −0.751780 | ||||||||
\(695\) | 3.51972 | 0.133511 | ||||||||
\(696\) | 0.181173 | − | 0.0872484i | 0.00686735 | − | 0.00330714i | ||||
\(697\) | 0.165771 | + | 0.726291i | 0.00627903 | + | 0.0275102i | ||||
\(698\) | 11.6085 | + | 5.59037i | 0.439389 | + | 0.211599i | ||||
\(699\) | −0.0300551 | − | 0.131680i | −0.00113679 | − | 0.00498059i | ||||
\(700\) | −2.12430 | − | 2.66378i | −0.0802909 | − | 0.100682i | ||||
\(701\) | 17.8343 | − | 8.58856i | 0.673593 | − | 0.324385i | −0.0656319 | − | 0.997844i | \(-0.520906\pi\) |
0.739225 | + | 0.673459i | \(0.235192\pi\) | |||||||
\(702\) | −4.47823 | − | 5.61552i | −0.169020 | − | 0.211944i | ||||
\(703\) | −4.18791 | + | 18.3484i | −0.157950 | + | 0.692025i | ||||
\(704\) | −2.69887 | − | 1.29971i | −0.101717 | − | 0.0489845i | ||||
\(705\) | −0.0444748 | − | 0.0214179i | −0.00167502 | − | 0.000806646i | ||||
\(706\) | −13.0739 | + | 16.3942i | −0.492044 | + | 0.617004i | ||||
\(707\) | 7.65258 | − | 33.5282i | 0.287805 | − | 1.26096i | ||||
\(708\) | 0.370574 | + | 1.62359i | 0.0139270 | + | 0.0610183i | ||||
\(709\) | −2.36991 | + | 2.97177i | −0.0890037 | + | 0.111607i | −0.824339 | − | 0.566096i | \(-0.808453\pi\) |
0.735336 | + | 0.677703i | \(0.237025\pi\) | |||||||
\(710\) | 3.96654 | − | 4.97389i | 0.148862 | − | 0.186667i | ||||
\(711\) | 0.338854 | + | 1.48461i | 0.0127080 | + | 0.0556774i | ||||
\(712\) | −2.72248 | + | 11.9280i | −0.102029 | + | 0.447020i | ||||
\(713\) | −25.2953 | + | 31.7194i | −0.947318 | + | 1.18790i | ||||
\(714\) | 7.23344 | + | 3.48344i | 0.270705 | + | 0.130365i | ||||
\(715\) | 3.58968 | + | 1.72870i | 0.134246 | + | 0.0646497i | ||||
\(716\) | −2.12768 | + | 9.32200i | −0.0795153 | + | 0.348379i | ||||
\(717\) | 18.2548 | + | 22.8908i | 0.681737 | + | 0.854872i | ||||
\(718\) | −1.61677 | + | 0.778595i | −0.0603373 | + | 0.0290569i | ||||
\(719\) | −3.51500 | − | 4.40768i | −0.131088 | − | 0.164379i | 0.711956 | − | 0.702224i | \(-0.247810\pi\) |
−0.843043 | + | 0.537846i | \(0.819238\pi\) | |||||||
\(720\) | −0.0591384 | − | 0.259102i | −0.00220396 | − | 0.00965617i | ||||
\(721\) | −48.8317 | − | 23.5161i | −1.81859 | − | 0.875785i | ||||
\(722\) | −2.66504 | − | 11.6763i | −0.0991826 | − | 0.434547i | ||||
\(723\) | 27.6245 | − | 13.3032i | 1.02736 | − | 0.494753i | ||||
\(724\) | 14.9778 | 0.556645 | ||||||||
\(725\) | −0.121609 | −0.00451645 | ||||||||
\(726\) | 3.01963 | − | 1.45418i | 0.112069 | − | 0.0539696i | ||||
\(727\) | 8.89138 | − | 38.9557i | 0.329763 | − | 1.44479i | −0.489818 | − | 0.871825i | \(-0.662937\pi\) |
0.819582 | − | 0.572963i | \(-0.194206\pi\) | |||||||
\(728\) | 2.82546 | − | 3.54301i | 0.104719 | − | 0.131313i | ||||
\(729\) | 18.0496 | + | 22.6335i | 0.668504 | + | 0.838278i | ||||
\(730\) | −2.64210 | −0.0977886 | ||||||||
\(731\) | 9.17057 | + | 1.79563i | 0.339186 | + | 0.0664139i | ||||
\(732\) | −5.12947 | −0.189591 | ||||||||
\(733\) | 3.01409 | + | 3.77955i | 0.111328 | + | 0.139601i | 0.834373 | − | 0.551200i | \(-0.185830\pi\) |
−0.723045 | + | 0.690801i | \(0.757258\pi\) | |||||||
\(734\) | 17.9563 | − | 22.5165i | 0.662780 | − | 0.831100i | ||||
\(735\) | −1.69565 | + | 7.42914i | −0.0625451 | + | 0.274028i | ||||
\(736\) | 5.60314 | − | 2.69833i | 0.206535 | − | 0.0994618i | ||||
\(737\) | −9.34144 | −0.344096 | ||||||||
\(738\) | −0.138933 | −0.00511419 | ||||||||
\(739\) | −20.7406 | + | 9.98814i | −0.762955 | + | 0.367420i | −0.774550 | − | 0.632513i | \(-0.782023\pi\) |
0.0115949 | + | 0.999933i | \(0.496309\pi\) | |||||||
\(740\) | −1.58024 | − | 6.92349i | −0.0580909 | − | 0.254513i | ||||
\(741\) | −5.25141 | − | 2.52894i | −0.192915 | − | 0.0929031i | ||||
\(742\) | 3.90786 | + | 17.1214i | 0.143462 | + | 0.628548i | ||||
\(743\) | −23.8722 | − | 29.9348i | −0.875787 | − | 1.09820i | −0.994444 | − | 0.105267i | \(-0.966430\pi\) |
0.118657 | − | 0.992935i | \(-0.462141\pi\) | |||||||
\(744\) | 9.71890 | − | 4.68038i | 0.356312 | − | 0.171591i | ||||
\(745\) | −10.6540 | − | 13.3597i | −0.390334 | − | 0.489463i | ||||
\(746\) | −4.79448 | + | 21.0060i | −0.175538 | + | 0.769083i | ||||
\(747\) | −2.28470 | − | 1.10026i | −0.0835929 | − | 0.0402562i | ||||
\(748\) | −3.84604 | − | 1.85215i | −0.140625 | − | 0.0677214i | ||||
\(749\) | −16.8626 | + | 21.1450i | −0.616146 | + | 0.772622i | ||||
\(750\) | 0.367950 | − | 1.61209i | 0.0134356 | − | 0.0588654i | ||||
\(751\) | 6.18097 | + | 27.0806i | 0.225547 | + | 0.988185i | 0.953224 | + | 0.302265i | \(0.0977428\pi\) |
−0.727677 | + | 0.685920i | \(0.759400\pi\) | |||||||
\(752\) | 0.0186130 | − | 0.0233399i | 0.000678745 | − | 0.000851119i | ||||
\(753\) | 1.63241 | − | 2.04698i | 0.0594885 | − | 0.0745962i | ||||
\(754\) | −0.0359924 | − | 0.157693i | −0.00131077 | − | 0.00574285i | ||||
\(755\) | −3.12773 | + | 13.7035i | −0.113830 | + | 0.498721i | ||||
\(756\) | −11.4714 | + | 14.3847i | −0.417212 | + | 0.523168i | ||||
\(757\) | −18.6423 | − | 8.97767i | −0.677567 | − | 0.326299i | 0.0632579 | − | 0.997997i | \(-0.479851\pi\) |
−0.740825 | + | 0.671698i | \(0.765565\pi\) | |||||||
\(758\) | −3.66291 | − | 1.76396i | −0.133043 | − | 0.0640701i | ||||
\(759\) | 6.85461 | − | 30.0320i | 0.248806 | − | 1.09009i | ||||
\(760\) | −1.65235 | − | 2.07199i | −0.0599372 | − | 0.0751589i | ||||
\(761\) | 26.1545 | − | 12.5953i | 0.948099 | − | 0.456580i | 0.105080 | − | 0.994464i | \(-0.466490\pi\) |
0.843019 | + | 0.537884i | \(0.180776\pi\) | |||||||
\(762\) | −21.3424 | − | 26.7625i | −0.773153 | − | 0.969503i | ||||
\(763\) | 12.8517 | + | 56.3068i | 0.465262 | + | 2.03844i | ||||
\(764\) | −20.9120 | − | 10.0707i | −0.756570 | − | 0.364345i | ||||
\(765\) | −0.0842754 | − | 0.369235i | −0.00304698 | − | 0.0133497i | ||||
\(766\) | −9.46845 | + | 4.55976i | −0.342109 | + | 0.164751i | ||||
\(767\) | 1.33955 | 0.0483685 | ||||||||
\(768\) | −1.65355 | −0.0596674 | ||||||||
\(769\) | −2.55454 | + | 1.23020i | −0.0921192 | + | 0.0443623i | −0.479376 | − | 0.877610i | \(-0.659137\pi\) |
0.387257 | + | 0.921972i | \(0.373423\pi\) | |||||||
\(770\) | 2.27106 | − | 9.95016i | 0.0818433 | − | 0.358579i | ||||
\(771\) | −22.2324 | + | 27.8786i | −0.800682 | + | 1.00402i | ||||
\(772\) | 5.28787 | + | 6.63078i | 0.190315 | + | 0.238647i | ||||
\(773\) | 11.6446 | 0.418826 | 0.209413 | − | 0.977827i | \(-0.432845\pi\) | ||||
0.209413 | + | 0.977827i | \(0.432845\pi\) | |||||||
\(774\) | −0.707050 | + | 1.59287i | −0.0254144 | + | 0.0572544i | ||||
\(775\) | −6.52363 | −0.234336 | ||||||||
\(776\) | −1.50649 | − | 1.88908i | −0.0540800 | − | 0.0678141i | ||||
\(777\) | −24.9451 | + | 31.2802i | −0.894902 | + | 1.12217i | ||||
\(778\) | −0.758428 | + | 3.32289i | −0.0271909 | + | 0.119131i | ||||
\(779\) | −1.24822 | + | 0.601110i | −0.0447220 | + | 0.0215370i | ||||
\(780\) | 2.19934 | 0.0787489 | ||||||||
\(781\) | 19.0570 | 0.681914 | ||||||||
\(782\) | 7.98478 | − | 3.84527i | 0.285535 | − | 0.137507i | ||||
\(783\) | 0.146130 | + | 0.640238i | 0.00522227 | + | 0.0228803i | ||||
\(784\) | −4.15200 | − | 1.99950i | −0.148286 | − | 0.0714107i | ||||
\(785\) | −0.675811 | − | 2.96092i | −0.0241207 | − | 0.105680i | ||||
\(786\) | 17.1977 | + | 21.5652i | 0.613421 | + | 0.769205i | ||||
\(787\) | −17.2325 | + | 8.29873i | −0.614272 | + | 0.295818i | −0.715031 | − | 0.699093i | \(-0.753587\pi\) |
0.100759 | + | 0.994911i | \(0.467873\pi\) | |||||||
\(788\) | 8.11984 | + | 10.1820i | 0.289257 | + | 0.362717i | ||||
\(789\) | −8.99041 | + | 39.3895i | −0.320067 | + | 1.40231i | ||||
\(790\) | −5.16241 | − | 2.48609i | −0.183670 | − | 0.0884510i | ||||
\(791\) | −31.6058 | − | 15.2206i | −1.12377 | − | 0.541181i | ||||
\(792\) | 0.496363 | − | 0.622420i | 0.0176375 | − | 0.0221167i | ||||
\(793\) | −0.918121 | + | 4.02255i | −0.0326034 | + | 0.142845i | ||||
\(794\) | −2.05762 | − | 9.01502i | −0.0730222 | − | 0.319931i | ||||
\(795\) | −5.31409 | + | 6.66366i | −0.188471 | + | 0.236336i | ||||
\(796\) | 14.7152 | − | 18.4523i | 0.521566 | − | 0.654023i | ||||
\(797\) | 1.02823 | + | 4.50498i | 0.0364219 | + | 0.159575i | 0.989868 | − | 0.141987i | \(-0.0453492\pi\) |
−0.953447 | + | 0.301562i | \(0.902492\pi\) | |||||||
\(798\) | −3.32237 | + | 14.5563i | −0.117611 | + | 0.515286i | ||||
\(799\) | 0.0265245 | − | 0.0332607i | 0.000938369 | − | 0.00117668i | ||||
\(800\) | 0.900969 | + | 0.433884i | 0.0318541 | + | 0.0153401i | ||||
\(801\) | −2.92956 | − | 1.41080i | −0.103511 | − | 0.0498482i | ||||
\(802\) | 5.31953 | − | 23.3064i | 0.187839 | − | 0.822978i | ||||
\(803\) | −4.93459 | − | 6.18778i | −0.174138 | − | 0.218362i | ||||
\(804\) | −4.64589 | + | 2.23734i | −0.163848 | + | 0.0789051i | ||||
\(805\) | 13.2110 | + | 16.5661i | 0.465628 | + | 0.583879i | ||||
\(806\) | −1.93079 | − | 8.45933i | −0.0680091 | − | 0.297967i | ||||
\(807\) | −6.07912 | − | 2.92755i | −0.213995 | − | 0.103055i | ||||
\(808\) | 2.24607 | + | 9.84066i | 0.0790163 | + | 0.346193i | ||||
\(809\) | 22.5035 | − | 10.8371i | 0.791181 | − | 0.381013i | 0.00576670 | − | 0.999983i | \(-0.498164\pi\) |
0.785414 | + | 0.618971i | \(0.212450\pi\) | |||||||
\(810\) | −8.13207 | −0.285732 | ||||||||
\(811\) | 19.1198 | 0.671387 | 0.335693 | − | 0.941971i | \(-0.391029\pi\) | ||||
0.335693 | + | 0.941971i | \(0.391029\pi\) | |||||||
\(812\) | −0.373303 | + | 0.179773i | −0.0131004 | + | 0.00630881i | ||||
\(813\) | 8.58049 | − | 37.5936i | 0.300931 | − | 1.31846i | ||||
\(814\) | 13.2634 | − | 16.6317i | 0.464881 | − | 0.582942i | ||||
\(815\) | 9.27600 | + | 11.6317i | 0.324924 | + | 0.407442i | ||||
\(816\) | −2.35640 | −0.0824906 | ||||||||
\(817\) | 0.539368 | + | 17.3700i | 0.0188701 | + | 0.607698i | ||||
\(818\) | 7.11720 | 0.248847 | ||||||||
\(819\) | 0.750909 | + | 0.941611i | 0.0262389 | + | 0.0329025i | ||||
\(820\) | 0.325939 | − | 0.408714i | 0.0113823 | − | 0.0142729i | ||||
\(821\) | 7.37741 | − | 32.3225i | 0.257473 | − | 1.12806i | −0.666469 | − | 0.745533i | \(-0.732195\pi\) |
0.923942 | − | 0.382531i | \(-0.124948\pi\) | |||||||
\(822\) | −31.5699 | + | 15.2033i | −1.10113 | + | 0.530275i | ||||
\(823\) | −23.5868 | −0.822184 | −0.411092 | − | 0.911594i | \(-0.634853\pi\) | ||||
−0.411092 | + | 0.911594i | \(0.634853\pi\) | |||||||
\(824\) | 15.9077 | 0.554170 | ||||||||
\(825\) | 4.46272 | − | 2.14913i | 0.155372 | − | 0.0748232i | ||||
\(826\) | −0.763559 | − | 3.34537i | −0.0265676 | − | 0.116400i | ||||
\(827\) | 24.8593 | + | 11.9716i | 0.864441 | + | 0.416293i | 0.812917 | − | 0.582379i | \(-0.197878\pi\) |
0.0515236 | + | 0.998672i | \(0.483592\pi\) | |||||||
\(828\) | 0.367783 | + | 1.61136i | 0.0127813 | + | 0.0559987i | ||||
\(829\) | −5.37998 | − | 6.74628i | −0.186854 | − | 0.234308i | 0.679577 | − | 0.733604i | \(-0.262163\pi\) |
−0.866431 | + | 0.499296i | \(0.833592\pi\) | |||||||
\(830\) | 8.59669 | − | 4.13995i | 0.298396 | − | 0.143700i | ||||
\(831\) | 28.5074 | + | 35.7472i | 0.988912 | + | 1.24006i | ||||
\(832\) | −0.295968 | + | 1.29672i | −0.0102608 | + | 0.0449557i | ||||
\(833\) | −5.91683 | − | 2.84940i | −0.205006 | − | 0.0987257i | ||||
\(834\) | 5.24368 | + | 2.52522i | 0.181574 | + | 0.0874413i | ||||
\(835\) | −11.1452 | + | 13.9756i | −0.385694 | + | 0.483646i | ||||
\(836\) | 1.76651 | − | 7.73960i | 0.0610961 | − | 0.267680i | ||||
\(837\) | 7.83905 | + | 34.3451i | 0.270957 | + | 1.18714i | ||||
\(838\) | 1.41112 | − | 1.76949i | 0.0487462 | − | 0.0611259i | ||||
\(839\) | 11.9542 | − | 14.9900i | 0.412703 | − | 0.517514i | −0.531419 | − | 0.847109i | \(-0.678341\pi\) |
0.944122 | + | 0.329596i | \(0.106912\pi\) | |||||||
\(840\) | −1.25364 | − | 5.49258i | −0.0432549 | − | 0.189512i | ||||
\(841\) | 6.44982 | − | 28.2585i | 0.222407 | − | 0.974431i | ||||
\(842\) | −12.7281 | + | 15.9605i | −0.438639 | + | 0.550036i | ||||
\(843\) | 14.4642 | + | 6.96561i | 0.498175 | + | 0.239908i | ||||
\(844\) | −0.651002 | − | 0.313506i | −0.0224084 | − | 0.0107913i | ||||
\(845\) | −2.49911 | + | 10.9493i | −0.0859721 | + | 0.376669i | ||||
\(846\) | 0.00494668 | + | 0.00620294i | 0.000170070 | + | 0.000213262i | ||||
\(847\) | −6.22188 | + | 2.99630i | −0.213786 | + | 0.102954i | ||||
\(848\) | −3.21374 | − | 4.02991i | −0.110360 | − | 0.138388i | ||||
\(849\) | 1.78657 | + | 7.82749i | 0.0613151 | + | 0.268639i | ||||
\(850\) | 1.28393 | + | 0.618308i | 0.0440384 | + | 0.0212078i | ||||
\(851\) | 9.82755 | + | 43.0573i | 0.336884 | + | 1.47599i | ||||
\(852\) | 9.47787 | − | 4.56430i | 0.324706 | − | 0.156370i | ||||
\(853\) | 5.13950 | 0.175973 | 0.0879865 | − | 0.996122i | \(-0.471957\pi\) | ||||
0.0879865 | + | 0.996122i | \(0.471957\pi\) | |||||||
\(854\) | 10.5692 | 0.361669 | ||||||||
\(855\) | 0.634574 | − | 0.305595i | 0.0217020 | − | 0.0104511i | ||||
\(856\) | 1.76636 | − | 7.73894i | 0.0603730 | − | 0.264512i | ||||
\(857\) | −14.2360 | + | 17.8514i | −0.486294 | + | 0.609793i | −0.963076 | − | 0.269228i | \(-0.913231\pi\) |
0.476783 | + | 0.879021i | \(0.341803\pi\) | |||||||
\(858\) | 4.10765 | + | 5.15083i | 0.140233 | + | 0.175846i | ||||
\(859\) | −20.3652 | −0.694852 | −0.347426 | − | 0.937707i | \(-0.612944\pi\) | ||||
−0.347426 | + | 0.937707i | \(0.612944\pi\) | |||||||
\(860\) | −3.02716 | − | 5.81690i | −0.103225 | − | 0.198355i | ||||
\(861\) | −2.94517 | −0.100371 | ||||||||
\(862\) | −12.1511 | − | 15.2370i | −0.413867 | − | 0.518973i | ||||
\(863\) | 29.5543 | − | 37.0599i | 1.00604 | − | 1.26153i | 0.0410747 | − | 0.999156i | \(-0.486922\pi\) |
0.964965 | − | 0.262378i | \(-0.0845067\pi\) | |||||||
\(864\) | 1.20164 | − | 5.26472i | 0.0408806 | − | 0.179109i | ||||
\(865\) | 0.116537 | − | 0.0561210i | 0.00396236 | − | 0.00190817i | ||||
\(866\) | 28.7231 | 0.976050 | ||||||||
\(867\) | 24.7524 | 0.840635 | ||||||||
\(868\) | −20.0256 | + | 9.64381i | −0.679712 | + | 0.327332i | ||||
\(869\) | −3.81932 | − | 16.7335i | −0.129561 | − | 0.567646i | ||||
\(870\) | −0.181173 | − | 0.0872484i | −0.00614235 | − | 0.00295800i | ||||
\(871\) | 0.922968 | + | 4.04379i | 0.0312736 | + | 0.137018i | ||||
\(872\) | −10.5690 | − | 13.2531i | −0.357910 | − | 0.448805i | ||||
\(873\) | 0.578557 | − | 0.278618i | 0.0195812 | − | 0.00942980i | ||||
\(874\) | 10.2760 | + | 12.8857i | 0.347592 | + | 0.435866i | ||||
\(875\) | −0.758153 | + | 3.32168i | −0.0256302 | + | 0.112293i | ||||
\(876\) | −3.93620 | − | 1.89557i | −0.132992 | − | 0.0640455i | ||||
\(877\) | −16.7857 | − | 8.08354i | −0.566811 | − | 0.272962i | 0.128454 | − | 0.991716i | \(-0.458999\pi\) |
−0.695265 | + | 0.718754i | \(0.744713\pi\) | |||||||
\(878\) | 10.3048 | − | 12.9219i | 0.347771 | − | 0.436091i | ||||
\(879\) | −11.2031 | + | 49.0839i | −0.377871 | + | 1.65556i | ||||
\(880\) | 0.666565 | + | 2.92041i | 0.0224699 | + | 0.0984471i | ||||
\(881\) | 3.40717 | − | 4.27246i | 0.114791 | − | 0.143943i | −0.721116 | − | 0.692814i | \(-0.756371\pi\) |
0.835907 | + | 0.548871i | \(0.184942\pi\) | |||||||
\(882\) | 0.763617 | − | 0.957546i | 0.0257123 | − | 0.0322422i | ||||
\(883\) | −0.539410 | − | 2.36331i | −0.0181526 | − | 0.0795317i | 0.965040 | − | 0.262102i | \(-0.0844156\pi\) |
−0.983193 | + | 0.182570i | \(0.941558\pi\) | |||||||
\(884\) | −0.421771 | + | 1.84790i | −0.0141857 | + | 0.0621516i | ||||
\(885\) | 1.03832 | − | 1.30202i | 0.0349029 | − | 0.0437669i | ||||
\(886\) | −5.19543 | − | 2.50199i | −0.174544 | − | 0.0840559i | ||||
\(887\) | 26.6756 | + | 12.8463i | 0.895680 | + | 0.431337i | 0.824327 | − | 0.566114i | \(-0.191554\pi\) |
0.0713536 | + | 0.997451i | \(0.477268\pi\) | |||||||
\(888\) | 2.61301 | − | 11.4484i | 0.0876870 | − | 0.384182i | ||||
\(889\) | 43.9755 | + | 55.1435i | 1.47489 | + | 1.84945i | ||||
\(890\) | 11.0231 | − | 5.30845i | 0.369495 | − | 0.177940i | ||||
\(891\) | −15.1881 | − | 19.0452i | −0.508819 | − | 0.638039i | ||||
\(892\) | −5.24156 | − | 22.9648i | −0.175500 | − | 0.768917i | ||||
\(893\) | 0.0712803 | + | 0.0343268i | 0.00238531 | + | 0.00114870i | ||||
\(894\) | −6.28743 | − | 27.5470i | −0.210283 | − | 0.921311i | ||||
\(895\) | 8.61482 | − | 4.14868i | 0.287962 | − | 0.138675i | ||||
\(896\) | 3.40711 | 0.113823 | ||||||||
\(897\) | −13.6777 | −0.456686 | ||||||||
\(898\) | −1.52684 | + | 0.735287i | −0.0509513 | + | 0.0245368i | ||||
\(899\) | −0.176533 | + | 0.773443i | −0.00588772 | + | 0.0257958i | ||||
\(900\) | −0.165702 | + | 0.207784i | −0.00552340 | + | 0.00692613i | ||||
\(901\) | −4.57976 | − | 5.74284i | −0.152574 | − | 0.191322i | ||||
\(902\) | 1.56595 | 0.0521405 | ||||||||
\(903\) | −14.9884 | + | 33.7664i | −0.498783 | + | 1.12368i | ||||
\(904\) | 10.2961 | 0.342442 | ||||||||
\(905\) | −9.33849 | − | 11.7101i | −0.310422 | − | 0.389257i | ||||
\(906\) | −14.4913 | + | 18.1715i | −0.481440 | + | 0.603706i | ||||
\(907\) | 1.39350 | − | 6.10534i | 0.0462706 | − | 0.202725i | −0.946509 | − | 0.322677i | \(-0.895417\pi\) |
0.992780 | + | 0.119953i | \(0.0382743\pi\) | |||||||
\(908\) | 13.6349 | − | 6.56624i | 0.452491 | − | 0.217908i | ||||
\(909\) | −2.68256 | −0.0889750 | ||||||||
\(910\) | −4.53169 | −0.150224 | ||||||||
\(911\) | 43.2061 | − | 20.8070i | 1.43148 | − | 0.689365i | 0.452209 | − | 0.891912i | \(-0.350636\pi\) |
0.979273 | + | 0.202547i | \(0.0649218\pi\) | |||||||
\(912\) | −0.975130 | − | 4.27233i | −0.0322898 | − | 0.141471i | ||||
\(913\) | 25.7515 | + | 12.4013i | 0.852252 | + | 0.410423i | ||||
\(914\) | 4.17486 | + | 18.2913i | 0.138092 | + | 0.605021i | ||||
\(915\) | 3.19817 | + | 4.01038i | 0.105728 | + | 0.132579i | ||||
\(916\) | 8.48171 | − | 4.08458i | 0.280244 | − | 0.134958i | ||||
\(917\) | −35.4354 | − | 44.4346i | −1.17018 | − | 1.46736i | ||||
\(918\) | 1.71240 | − | 7.50252i | 0.0565176 | − | 0.247620i | ||||
\(919\) | 7.35663 | + | 3.54277i | 0.242673 | + | 0.116865i | 0.551268 | − | 0.834329i | \(-0.314144\pi\) |
−0.308595 | + | 0.951194i | \(0.599859\pi\) | |||||||
\(920\) | −5.60314 | − | 2.69833i | −0.184730 | − | 0.0889613i | ||||
\(921\) | −31.5898 | + | 39.6124i | −1.04092 | + | 1.30527i | ||||
\(922\) | 1.20162 | − | 5.26465i | 0.0395733 | − | 0.173382i | ||||
\(923\) | −1.88290 | − | 8.24953i | −0.0619765 | − | 0.271537i | ||||
\(924\) | 10.5222 | − | 13.1944i | 0.346154 | − | 0.434063i | ||||
\(925\) | −4.42774 | + | 5.55221i | −0.145583 | + | 0.182556i | ||||
\(926\) | −1.65858 | − | 7.26672i | −0.0545044 | − | 0.238799i | ||||
\(927\) | −0.940753 | + | 4.12171i | −0.0308984 | + | 0.135375i | ||||
\(928\) | 0.0758221 | − | 0.0950779i | 0.00248898 | − | 0.00312108i | ||||
\(929\) | −9.97246 | − | 4.80248i | −0.327186 | − | 0.157564i | 0.263079 | − | 0.964774i | \(-0.415262\pi\) |
−0.590264 | + | 0.807210i | \(0.700976\pi\) | |||||||
\(930\) | −9.71890 | − | 4.68038i | −0.318695 | − | 0.153476i | ||||
\(931\) | 2.71765 | − | 11.9068i | 0.0890672 | − | 0.390229i | ||||
\(932\) | −0.0509282 | − | 0.0638620i | −0.00166821 | − | 0.00209187i | ||||
\(933\) | 38.0438 | − | 18.3209i | 1.24550 | − | 0.599800i | ||||
\(934\) | −17.2648 | − | 21.6494i | −0.564922 | − | 0.708389i | ||||
\(935\) | 0.949892 | + | 4.16175i | 0.0310648 | + | 0.136104i | ||||
\(936\) | −0.318480 | − | 0.153372i | −0.0104098 | − | 0.00501312i | ||||
\(937\) | −5.30043 | − | 23.2227i | −0.173157 | − | 0.758652i | −0.984686 | − | 0.174339i | \(-0.944221\pi\) |
0.811528 | − | 0.584313i | \(-0.198636\pi\) | |||||||
\(938\) | 9.57276 | − | 4.61000i | 0.312562 | − | 0.150522i | ||||
\(939\) | −14.7831 | −0.482428 | ||||||||
\(940\) | −0.0298529 | −0.000973693 | ||||||||
\(941\) | −14.3331 | + | 6.90245i | −0.467245 | + | 0.225014i | −0.652666 | − | 0.757646i | \(-0.726350\pi\) |
0.185421 | + | 0.982659i | \(0.440635\pi\) | |||||||
\(942\) | 1.11749 | − | 4.89604i | 0.0364098 | − | 0.159522i | ||||
\(943\) | −2.02702 | + | 2.54180i | −0.0660088 | + | 0.0827724i | ||||
\(944\) | 0.627936 | + | 0.787407i | 0.0204376 | + | 0.0256279i | ||||
\(945\) | 18.3988 | 0.598512 | ||||||||
\(946\) | 7.96936 | − | 17.9537i | 0.259106 | − | 0.583724i | ||||
\(947\) | 19.1055 | 0.620847 | 0.310423 | − | 0.950598i | \(-0.399529\pi\) | ||||
0.310423 | + | 0.950598i | \(0.399529\pi\) | |||||||
\(948\) | −5.90731 | − | 7.40754i | −0.191861 | − | 0.240586i | ||||
\(949\) | −2.19105 | + | 2.74749i | −0.0711246 | + | 0.0891874i | ||||
\(950\) | −0.589719 | + | 2.58373i | −0.0191330 | + | 0.0838271i | ||||
\(951\) | −14.1948 | + | 6.83588i | −0.460299 | + | 0.221668i | ||||
\(952\) | 4.85531 | 0.157362 | ||||||||
\(953\) | −28.6293 | −0.927395 | −0.463697 | − | 0.885994i | \(-0.653477\pi\) | ||||
−0.463697 | + | 0.885994i | \(0.653477\pi\) | |||||||
\(954\) | 1.23421 | − | 0.594366i | 0.0399591 | − | 0.0192433i | ||||
\(955\) | 5.16484 | + | 22.6286i | 0.167130 | + | 0.732245i | ||||
\(956\) | 15.9529 | + | 7.68250i | 0.515953 | + | 0.248470i | ||||
\(957\) | −0.134038 | − | 0.587258i | −0.00433282 | − | 0.0189833i | ||||
\(958\) | 21.5078 | + | 26.9699i | 0.694884 | + | 0.871357i | ||||
\(959\) | 65.0491 | − | 31.3260i | 2.10055 | − | 1.01157i | ||||
\(960\) | 1.03097 | + | 1.29280i | 0.0332745 | + | 0.0417249i | ||||
\(961\) | −2.57185 | + | 11.2680i | −0.0829629 | + | 0.363484i | ||||
\(962\) | −8.51014 | − | 4.09827i | −0.274378 | − | 0.132133i | ||||
\(963\) | 1.90072 | + | 0.915337i | 0.0612497 | + | 0.0294963i | ||||
\(964\) | 11.5610 | − | 14.4970i | 0.372355 | − | 0.466918i | ||||
\(965\) | 1.88722 | − | 8.26844i | 0.0607517 | − | 0.266171i | ||||
\(966\) | 7.79644 | + | 34.1584i | 0.250846 | + | 1.09903i | ||||
\(967\) | −10.0181 | + | 12.5623i | −0.322159 | + | 0.403975i | −0.916369 | − | 0.400335i | \(-0.868894\pi\) |
0.594209 | + | 0.804310i | \(0.297465\pi\) | |||||||
\(968\) | 1.26373 | − | 1.58467i | 0.0406179 | − | 0.0509333i | ||||
\(969\) | −1.38961 | − | 6.08830i | −0.0446408 | − | 0.195584i | ||||
\(970\) | −0.537661 | + | 2.35565i | −0.0172633 | + | 0.0756353i | ||||
\(971\) | −8.38038 | + | 10.5087i | −0.268939 | + | 0.337239i | −0.897901 | − | 0.440197i | \(-0.854909\pi\) |
0.628962 | + | 0.777436i | \(0.283480\pi\) | |||||||
\(972\) | 2.48085 | + | 1.19471i | 0.0795733 | + | 0.0383205i | ||||
\(973\) | −10.8045 | − | 5.20316i | −0.346376 | − | 0.166806i | ||||
\(974\) | −7.37730 | + | 32.3221i | −0.236384 | + | 1.03567i | ||||
\(975\) | −1.37126 | − | 1.71951i | −0.0439156 | − | 0.0550684i | ||||
\(976\) | −2.79489 | + | 1.34595i | −0.0894623 | + | 0.0430828i | ||||
\(977\) | −37.2652 | − | 46.7291i | −1.19222 | − | 1.49500i | −0.825255 | − | 0.564760i | \(-0.808969\pi\) |
−0.366964 | − | 0.930235i | \(-0.619603\pi\) | |||||||
\(978\) | 5.47419 | + | 23.9840i | 0.175045 | + | 0.766924i | ||||
\(979\) | 33.0199 | + | 15.9016i | 1.05532 | + | 0.508216i | ||||
\(980\) | 1.02546 | + | 4.49283i | 0.0327571 | + | 0.143518i | ||||
\(981\) | 4.05893 | − | 1.95468i | 0.129592 | − | 0.0624080i | ||||
\(982\) | 28.8654 | 0.921133 | ||||||||
\(983\) | −10.1872 | −0.324922 | −0.162461 | − | 0.986715i | \(-0.551943\pi\) | ||||
−0.162461 | + | 0.986715i | \(0.551943\pi\) | |||||||
\(984\) | 0.778815 | − | 0.375058i | 0.0248277 | − | 0.0119564i | ||||
\(985\) | 2.89794 | − | 12.6967i | 0.0923360 | − | 0.404550i | ||||
\(986\) | 0.108051 | − | 0.135491i | 0.00344103 | − | 0.00431492i | ||||
\(987\) | 0.104862 | + | 0.131493i | 0.00333780 | + | 0.00418547i | ||||
\(988\) | −3.52491 | −0.112142 | ||||||||
\(989\) | 18.8260 | + | 36.1754i | 0.598631 | + | 1.15031i | ||||
\(990\) | −0.796105 | −0.0253019 | ||||||||
\(991\) | 14.3786 | + | 18.0302i | 0.456752 | + | 0.572749i | 0.955872 | − | 0.293784i | \(-0.0949146\pi\) |
−0.499120 | + | 0.866533i | \(0.666343\pi\) | |||||||
\(992\) | 4.06742 | − | 5.10038i | 0.129141 | − | 0.161937i | ||||
\(993\) | 3.44851 | − | 15.1089i | 0.109435 | − | 0.479467i | ||||
\(994\) | −19.5289 | + | 9.40464i | −0.619420 | + | 0.298297i | ||||
\(995\) | −23.6013 | −0.748213 | ||||||||
\(996\) | 15.7775 | 0.499931 | ||||||||
\(997\) | −48.7924 | + | 23.4972i | −1.54527 | + | 0.744163i | −0.995818 | − | 0.0913613i | \(-0.970878\pi\) |
−0.549453 | + | 0.835525i | \(0.685164\pi\) | |||||||
\(998\) | −6.23194 | − | 27.3039i | −0.197269 | − | 0.864291i | ||||
\(999\) | 34.5514 | + | 16.6391i | 1.09316 | + | 0.526437i |
(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 | 430.2.k.d.11.2 | ✓ | 24 | |
43.4 | even | 7 | inner | 430.2.k.d.391.2 | yes | 24 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
430.2.k.d.11.2 | ✓ | 24 | 1.1 | even | 1 | trivial | |
430.2.k.d.391.2 | yes | 24 | 43.4 | even | 7 | inner |