Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [722,2,Mod(99,722)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(722, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("722.99");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 722 = 2 \cdot 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 722.e (of order \(9\), degree \(6\), not 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: | \(5.76519902594\) |
Analytic rank: | \(0\) |
Dimension: | \(24\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{9})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 389.2 | ||
Character | \(\chi\) | \(=\) | 722.389 |
Dual form | 722.2.e.s.245.2 |
$q$-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 \(\left(\mathbb{Z}/722\mathbb{Z}\right)^\times\).
\(n\) | \(363\) |
\(\chi(n)\) | \(e\left(\frac{4}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.173648 | − | 0.984808i | −0.122788 | − | 0.696364i | ||||
\(3\) | −0.983662 | + | 0.825390i | −0.567917 | + | 0.476539i | −0.880954 | − | 0.473202i | \(-0.843098\pi\) |
0.313037 | + | 0.949741i | \(0.398654\pi\) | |||||||
\(4\) | −0.939693 | + | 0.342020i | −0.469846 | + | 0.171010i | ||||
\(5\) | −3.47284 | − | 1.26401i | −1.55310 | − | 0.565282i | −0.583958 | − | 0.811784i | \(-0.698497\pi\) |
−0.969142 | + | 0.246501i | \(0.920719\pi\) | |||||||
\(6\) | 0.983662 | + | 0.825390i | 0.401578 | + | 0.336964i | ||||
\(7\) | 0.221232 | − | 0.383185i | 0.0836177 | − | 0.144830i | −0.821184 | − | 0.570664i | \(-0.806686\pi\) |
0.904801 | + | 0.425834i | \(0.140019\pi\) | |||||||
\(8\) | 0.500000 | + | 0.866025i | 0.176777 | + | 0.306186i | ||||
\(9\) | −0.234623 | + | 1.33061i | −0.0782077 | + | 0.443538i | ||||
\(10\) | −0.641755 | + | 3.63957i | −0.202941 | + | 1.15093i | ||||
\(11\) | 2.01484 | + | 3.48980i | 0.607496 | + | 1.05221i | 0.991652 | + | 0.128946i | \(0.0411593\pi\) |
−0.384156 | + | 0.923268i | \(0.625507\pi\) | |||||||
\(12\) | 0.642040 | − | 1.11205i | 0.185341 | − | 0.321020i | ||||
\(13\) | −3.74710 | − | 3.14419i | −1.03926 | − | 0.872041i | −0.0473350 | − | 0.998879i | \(-0.515073\pi\) |
−0.991923 | + | 0.126838i | \(0.959517\pi\) | |||||||
\(14\) | −0.415780 | − | 0.151331i | −0.111122 | − | 0.0404450i | ||||
\(15\) | 4.45940 | − | 1.62309i | 1.15141 | − | 0.419080i | ||||
\(16\) | 0.766044 | − | 0.642788i | 0.191511 | − | 0.160697i | ||||
\(17\) | 0.0463455 | + | 0.262838i | 0.0112404 | + | 0.0637476i | 0.989912 | − | 0.141683i | \(-0.0452515\pi\) |
−0.978672 | + | 0.205431i | \(0.934140\pi\) | |||||||
\(18\) | 1.35114 | 0.318467 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 3.69572 | 0.826388 | ||||||||
\(21\) | 0.0986596 | + | 0.559526i | 0.0215293 | + | 0.122099i | ||||
\(22\) | 3.08691 | − | 2.59022i | 0.658131 | − | 0.552238i | ||||
\(23\) | 8.65391 | − | 3.14977i | 1.80447 | − | 0.656772i | 0.806626 | − | 0.591062i | \(-0.201291\pi\) |
0.997839 | − | 0.0657101i | \(-0.0209313\pi\) | |||||||
\(24\) | −1.20664 | − | 0.439181i | −0.246304 | − | 0.0896474i | ||||
\(25\) | 6.63266 | + | 5.56547i | 1.32653 | + | 1.11309i | ||||
\(26\) | −2.44575 | + | 4.23616i | −0.479650 | + | 0.830779i | ||||
\(27\) | −2.79360 | − | 4.83866i | −0.537629 | − | 0.931201i | ||||
\(28\) | −0.0768330 | + | 0.435741i | −0.0145201 | + | 0.0823474i | ||||
\(29\) | 0.0388245 | − | 0.220185i | 0.00720953 | − | 0.0408873i | −0.980991 | − | 0.194054i | \(-0.937836\pi\) |
0.988200 | + | 0.153167i | \(0.0489473\pi\) | |||||||
\(30\) | −2.37280 | − | 4.10980i | −0.433211 | − | 0.750344i | ||||
\(31\) | 1.73993 | − | 3.01364i | 0.312500 | − | 0.541266i | −0.666403 | − | 0.745592i | \(-0.732167\pi\) |
0.978903 | + | 0.204326i | \(0.0655002\pi\) | |||||||
\(32\) | −0.766044 | − | 0.642788i | −0.135419 | − | 0.113630i | ||||
\(33\) | −4.86236 | − | 1.76976i | −0.846429 | − | 0.308075i | ||||
\(34\) | 0.250797 | − | 0.0912828i | 0.0430114 | − | 0.0156549i | ||||
\(35\) | −1.25265 | + | 1.05110i | −0.211737 | + | 0.177668i | ||||
\(36\) | −0.234623 | − | 1.33061i | −0.0391039 | − | 0.221769i | ||||
\(37\) | −1.44903 | −0.238219 | −0.119109 | − | 0.992881i | \(-0.538004\pi\) | ||||
−0.119109 | + | 0.992881i | \(0.538004\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | 6.28106 | 1.00577 | ||||||||
\(40\) | −0.641755 | − | 3.63957i | −0.101470 | − | 0.575467i | ||||
\(41\) | 6.02473 | − | 5.05535i | 0.940904 | − | 0.789513i | −0.0368381 | − | 0.999321i | \(-0.511729\pi\) |
0.977742 | + | 0.209809i | \(0.0672841\pi\) | |||||||
\(42\) | 0.533894 | − | 0.194322i | 0.0823816 | − | 0.0299845i | ||||
\(43\) | 5.29537 | + | 1.92736i | 0.807537 | + | 0.293919i | 0.712606 | − | 0.701564i | \(-0.247515\pi\) |
0.0949310 | + | 0.995484i | \(0.469737\pi\) | |||||||
\(44\) | −3.08691 | − | 2.59022i | −0.465369 | − | 0.390491i | ||||
\(45\) | 2.49672 | − | 4.32444i | 0.372189 | − | 0.644650i | ||||
\(46\) | −4.60465 | − | 7.97549i | −0.678919 | − | 1.17592i | ||||
\(47\) | 0.381797 | − | 2.16528i | 0.0556907 | − | 0.315838i | −0.944218 | − | 0.329320i | \(-0.893181\pi\) |
0.999909 | + | 0.0134821i | \(0.00429162\pi\) | |||||||
\(48\) | −0.222978 | + | 1.26457i | −0.0321841 | + | 0.182525i | ||||
\(49\) | 3.40211 | + | 5.89263i | 0.486016 | + | 0.841805i | ||||
\(50\) | 4.32916 | − | 7.49833i | 0.612236 | − | 1.06042i | ||||
\(51\) | −0.262532 | − | 0.220291i | −0.0367619 | − | 0.0308469i | ||||
\(52\) | 4.59650 | + | 1.67299i | 0.637420 | + | 0.232002i | ||||
\(53\) | 9.34281 | − | 3.40050i | 1.28333 | − | 0.467095i | 0.391800 | − | 0.920050i | \(-0.371853\pi\) |
0.891533 | + | 0.452955i | \(0.149630\pi\) | |||||||
\(54\) | −4.28005 | + | 3.59139i | −0.582441 | + | 0.488726i | ||||
\(55\) | −2.58606 | − | 14.6663i | −0.348704 | − | 1.97760i | ||||
\(56\) | 0.442463 | 0.0591267 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −0.223582 | −0.0293577 | ||||||||
\(59\) | 0.609423 | + | 3.45621i | 0.0793401 | + | 0.449960i | 0.998435 | + | 0.0559238i | \(0.0178104\pi\) |
−0.919095 | + | 0.394036i | \(0.871078\pi\) | |||||||
\(60\) | −3.63534 | + | 3.05041i | −0.469320 | + | 0.393806i | ||||
\(61\) | −3.83352 | + | 1.39529i | −0.490832 | + | 0.178648i | −0.575566 | − | 0.817755i | \(-0.695218\pi\) |
0.0847339 | + | 0.996404i | \(0.472996\pi\) | |||||||
\(62\) | −3.26999 | − | 1.19018i | −0.415289 | − | 0.151153i | ||||
\(63\) | 0.457965 | + | 0.384278i | 0.0576981 | + | 0.0484145i | ||||
\(64\) | −0.500000 | + | 0.866025i | −0.0625000 | + | 0.108253i | ||||
\(65\) | 9.03879 | + | 15.6556i | 1.12112 | + | 1.94184i | ||||
\(66\) | −0.898528 | + | 5.09581i | −0.110601 | + | 0.627250i | ||||
\(67\) | −0.0256588 | + | 0.145518i | −0.00313472 | + | 0.0177779i | −0.986335 | − | 0.164752i | \(-0.947318\pi\) |
0.983200 | + | 0.182530i | \(0.0584287\pi\) | |||||||
\(68\) | −0.133446 | − | 0.231136i | −0.0161828 | − | 0.0280294i | ||||
\(69\) | −5.91273 | + | 10.2412i | −0.711810 | + | 1.23289i | ||||
\(70\) | 1.25265 | + | 1.05110i | 0.149720 | + | 0.125630i | ||||
\(71\) | 10.7774 | + | 3.92267i | 1.27905 | + | 0.465535i | 0.890117 | − | 0.455732i | \(-0.150622\pi\) |
0.388930 | + | 0.921267i | \(0.372845\pi\) | |||||||
\(72\) | −1.26966 | + | 0.462117i | −0.149631 | + | 0.0544611i | ||||
\(73\) | 1.08951 | − | 0.914211i | 0.127518 | − | 0.107000i | −0.576798 | − | 0.816887i | \(-0.695698\pi\) |
0.704316 | + | 0.709886i | \(0.251254\pi\) | |||||||
\(74\) | 0.251621 | + | 1.42701i | 0.0292504 | + | 0.165887i | ||||
\(75\) | −11.1180 | −1.28379 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | 1.78298 | 0.203190 | ||||||||
\(78\) | −1.09069 | − | 6.18564i | −0.123497 | − | 0.700386i | ||||
\(79\) | −7.81624 | + | 6.55861i | −0.879396 | + | 0.737901i | −0.966055 | − | 0.258337i | \(-0.916825\pi\) |
0.0866589 | + | 0.996238i | \(0.472381\pi\) | |||||||
\(80\) | −3.47284 | + | 1.26401i | −0.388275 | + | 0.141321i | ||||
\(81\) | 2.93278 | + | 1.06744i | 0.325864 | + | 0.118605i | ||||
\(82\) | −6.02473 | − | 5.05535i | −0.665320 | − | 0.558270i | ||||
\(83\) | 1.64439 | − | 2.84817i | 0.180495 | − | 0.312627i | −0.761554 | − | 0.648101i | \(-0.775563\pi\) |
0.942049 | + | 0.335475i | \(0.108897\pi\) | |||||||
\(84\) | −0.284079 | − | 0.492039i | −0.0309956 | − | 0.0536859i | ||||
\(85\) | 0.171280 | − | 0.971376i | 0.0185779 | − | 0.105361i | ||||
\(86\) | 0.978546 | − | 5.54961i | 0.105519 | − | 0.598430i | ||||
\(87\) | 0.143548 | + | 0.248633i | 0.0153900 | + | 0.0266562i | ||||
\(88\) | −2.01484 | + | 3.48980i | −0.214782 | + | 0.372014i | ||||
\(89\) | 4.56620 | + | 3.83149i | 0.484016 | + | 0.406137i | 0.851876 | − | 0.523744i | \(-0.175465\pi\) |
−0.367860 | + | 0.929881i | \(0.619909\pi\) | |||||||
\(90\) | −4.69229 | − | 1.70786i | −0.494611 | − | 0.180024i | ||||
\(91\) | −2.03378 | + | 0.740236i | −0.213198 | + | 0.0775979i | ||||
\(92\) | −7.05473 | + | 5.91962i | −0.735507 | + | 0.617163i | ||||
\(93\) | 0.775931 | + | 4.40052i | 0.0804603 | + | 0.456313i | ||||
\(94\) | −2.19868 | −0.226776 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 1.28408 | 0.131056 | ||||||||
\(97\) | −0.709311 | − | 4.02270i | −0.0720196 | − | 0.408443i | −0.999410 | − | 0.0343483i | \(-0.989064\pi\) |
0.927390 | − | 0.374095i | \(-0.122047\pi\) | |||||||
\(98\) | 5.21234 | − | 4.37367i | 0.526526 | − | 0.441808i | ||||
\(99\) | −5.11630 | + | 1.86218i | −0.514208 | + | 0.187156i | ||||
\(100\) | −8.13617 | − | 2.96132i | −0.813617 | − | 0.296132i | ||||
\(101\) | 0.325781 | + | 0.273363i | 0.0324165 | + | 0.0272006i | 0.658852 | − | 0.752273i | \(-0.271042\pi\) |
−0.626435 | + | 0.779473i | \(0.715487\pi\) | |||||||
\(102\) | −0.171356 | + | 0.296797i | −0.0169668 | + | 0.0293873i | ||||
\(103\) | −2.26809 | − | 3.92845i | −0.223482 | − | 0.387081i | 0.732381 | − | 0.680895i | \(-0.238409\pi\) |
−0.955863 | + | 0.293813i | \(0.905076\pi\) | |||||||
\(104\) | 0.849399 | − | 4.81718i | 0.0832904 | − | 0.472363i | ||||
\(105\) | 0.364618 | − | 2.06785i | 0.0355831 | − | 0.201802i | ||||
\(106\) | −4.97120 | − | 8.61038i | −0.482846 | − | 0.836314i | ||||
\(107\) | −1.58576 | + | 2.74661i | −0.153301 | + | 0.265525i | −0.932439 | − | 0.361327i | \(-0.882324\pi\) |
0.779138 | + | 0.626852i | \(0.215657\pi\) | |||||||
\(108\) | 4.28005 | + | 3.59139i | 0.411848 | + | 0.345582i | ||||
\(109\) | −6.37217 | − | 2.31928i | −0.610343 | − | 0.222147i | 0.0183104 | − | 0.999832i | \(-0.494171\pi\) |
−0.628653 | + | 0.777686i | \(0.716394\pi\) | |||||||
\(110\) | −13.9944 | + | 5.09355i | −1.33431 | + | 0.485651i | ||||
\(111\) | 1.42535 | − | 1.19601i | 0.135289 | − | 0.113521i | ||||
\(112\) | −0.0768330 | − | 0.435741i | −0.00726003 | − | 0.0411737i | ||||
\(113\) | 10.0444 | 0.944893 | 0.472447 | − | 0.881359i | \(-0.343371\pi\) | ||||
0.472447 | + | 0.881359i | \(0.343371\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −34.0350 | −3.17378 | ||||||||
\(116\) | 0.0388245 | + | 0.220185i | 0.00360477 | + | 0.0204437i | ||||
\(117\) | 5.06286 | − | 4.24824i | 0.468062 | − | 0.392750i | ||||
\(118\) | 3.29788 | − | 1.20033i | 0.303594 | − | 0.110499i | ||||
\(119\) | 0.110969 | + | 0.0403893i | 0.0101725 | + | 0.00370248i | ||||
\(120\) | 3.63534 | + | 3.05041i | 0.331859 | + | 0.278463i | ||||
\(121\) | −2.61913 | + | 4.53647i | −0.238103 | + | 0.412406i | ||||
\(122\) | 2.03977 | + | 3.53299i | 0.184672 | + | 0.319862i | ||||
\(123\) | −1.75366 | + | 9.94550i | −0.158122 | + | 0.896756i | ||||
\(124\) | −0.604270 | + | 3.42699i | −0.0542651 | + | 0.307752i | ||||
\(125\) | −6.76007 | − | 11.7088i | −0.604639 | − | 1.04727i | ||||
\(126\) | 0.298915 | − | 0.517736i | 0.0266295 | − | 0.0461236i | ||||
\(127\) | −10.7864 | − | 9.05083i | −0.957134 | − | 0.803131i | 0.0233502 | − | 0.999727i | \(-0.492567\pi\) |
−0.980485 | + | 0.196596i | \(0.937011\pi\) | |||||||
\(128\) | 0.939693 | + | 0.342020i | 0.0830579 | + | 0.0302306i | ||||
\(129\) | −6.79968 | + | 2.47488i | −0.598678 | + | 0.217901i | ||||
\(130\) | 13.8482 | − | 11.6200i | 1.21457 | − | 1.01914i | ||||
\(131\) | 2.75085 | + | 15.6008i | 0.240343 | + | 1.36305i | 0.831065 | + | 0.556176i | \(0.187732\pi\) |
−0.590722 | + | 0.806875i | \(0.701157\pi\) | |||||||
\(132\) | 5.17442 | 0.450375 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 0.147763 | 0.0127648 | ||||||||
\(135\) | 3.58562 | + | 20.3350i | 0.308601 | + | 1.75016i | ||||
\(136\) | −0.204452 | + | 0.171556i | −0.0175316 | + | 0.0147108i | ||||
\(137\) | −2.07431 | + | 0.754987i | −0.177220 | + | 0.0645029i | −0.429106 | − | 0.903254i | \(-0.641171\pi\) |
0.251886 | + | 0.967757i | \(0.418949\pi\) | |||||||
\(138\) | 11.1123 | + | 4.04455i | 0.945942 | + | 0.344295i | ||||
\(139\) | −13.0721 | − | 10.9688i | −1.10876 | − | 0.930362i | −0.110780 | − | 0.993845i | \(-0.535335\pi\) |
−0.997983 | + | 0.0634825i | \(0.979779\pi\) | |||||||
\(140\) | 0.817610 | − | 1.41614i | 0.0691007 | − | 0.119686i | ||||
\(141\) | 1.41164 | + | 2.44503i | 0.118881 | + | 0.205909i | ||||
\(142\) | 1.99159 | − | 11.2949i | 0.167131 | − | 0.947845i | ||||
\(143\) | 3.42280 | − | 19.4117i | 0.286229 | − | 1.62328i | ||||
\(144\) | 0.675571 | + | 1.17012i | 0.0562975 | + | 0.0975102i | ||||
\(145\) | −0.413147 | + | 0.715592i | −0.0343100 | + | 0.0594267i | ||||
\(146\) | −1.08951 | − | 0.914211i | −0.0901689 | − | 0.0756607i | ||||
\(147\) | −8.21025 | − | 2.98829i | −0.677170 | − | 0.246470i | ||||
\(148\) | 1.36164 | − | 0.495597i | 0.111926 | − | 0.0407378i | ||||
\(149\) | 10.3767 | − | 8.70705i | 0.850089 | − | 0.713309i | −0.109720 | − | 0.993962i | \(-0.534996\pi\) |
0.959809 | + | 0.280653i | \(0.0905511\pi\) | |||||||
\(150\) | 1.93062 | + | 10.9491i | 0.157634 | + | 0.893988i | ||||
\(151\) | 9.15317 | 0.744875 | 0.372437 | − | 0.928057i | \(-0.378522\pi\) | ||||
0.372437 | + | 0.928057i | \(0.378522\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −0.360610 | −0.0291536 | ||||||||
\(154\) | −0.309612 | − | 1.75590i | −0.0249492 | − | 0.141494i | ||||
\(155\) | −9.85176 | + | 8.26660i | −0.791312 | + | 0.663990i | ||||
\(156\) | −5.90227 | + | 2.14825i | −0.472560 | + | 0.171998i | ||||
\(157\) | 15.4018 | + | 5.60581i | 1.22920 | + | 0.447392i | 0.873323 | − | 0.487141i | \(-0.161960\pi\) |
0.355876 | + | 0.934533i | \(0.384182\pi\) | |||||||
\(158\) | 7.81624 | + | 6.55861i | 0.621827 | + | 0.521775i | ||||
\(159\) | −6.38342 | + | 11.0564i | −0.506238 | + | 0.876830i | ||||
\(160\) | 1.84786 | + | 3.20059i | 0.146086 | + | 0.253028i | ||||
\(161\) | 0.707578 | − | 4.01287i | 0.0557650 | − | 0.316259i | ||||
\(162\) | 0.541955 | − | 3.07358i | 0.0425800 | − | 0.241483i | ||||
\(163\) | 6.88612 | + | 11.9271i | 0.539363 | + | 0.934204i | 0.998938 | + | 0.0460652i | \(0.0146682\pi\) |
−0.459576 | + | 0.888139i | \(0.651998\pi\) | |||||||
\(164\) | −3.93236 | + | 6.81105i | −0.307066 | + | 0.531854i | ||||
\(165\) | 14.6492 | + | 12.2921i | 1.14044 | + | 0.956942i | ||||
\(166\) | −3.09044 | − | 1.12483i | −0.239865 | − | 0.0873036i | ||||
\(167\) | −9.70966 | + | 3.53403i | −0.751356 | + | 0.273471i | −0.689176 | − | 0.724594i | \(-0.742027\pi\) |
−0.0621797 | + | 0.998065i | \(0.519805\pi\) | |||||||
\(168\) | −0.435234 | + | 0.365205i | −0.0335791 | + | 0.0281762i | ||||
\(169\) | 1.89740 | + | 10.7607i | 0.145954 | + | 0.827745i | ||||
\(170\) | −0.986361 | −0.0756504 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −5.63522 | −0.429682 | ||||||||
\(173\) | 1.70384 | + | 9.66295i | 0.129540 | + | 0.734660i | 0.978507 | + | 0.206214i | \(0.0661142\pi\) |
−0.848967 | + | 0.528447i | \(0.822775\pi\) | |||||||
\(174\) | 0.219929 | − | 0.184542i | 0.0166727 | − | 0.0139901i | ||||
\(175\) | 3.59996 | − | 1.31028i | 0.272131 | − | 0.0990476i | ||||
\(176\) | 3.78665 | + | 1.37823i | 0.285430 | + | 0.103888i | ||||
\(177\) | −3.45219 | − | 2.89673i | −0.259482 | − | 0.217731i | ||||
\(178\) | 2.98037 | − | 5.16216i | 0.223388 | − | 0.386920i | ||||
\(179\) | −4.39915 | − | 7.61955i | −0.328808 | − | 0.569512i | 0.653468 | − | 0.756955i | \(-0.273314\pi\) |
−0.982276 | + | 0.187442i | \(0.939980\pi\) | |||||||
\(180\) | −0.867101 | + | 4.91757i | −0.0646299 | + | 0.366534i | ||||
\(181\) | −2.52272 | + | 14.3070i | −0.187512 | + | 1.06343i | 0.735173 | + | 0.677880i | \(0.237101\pi\) |
−0.922685 | + | 0.385554i | \(0.874010\pi\) | |||||||
\(182\) | 1.08215 | + | 1.87434i | 0.0802145 | + | 0.138936i | ||||
\(183\) | 2.61923 | − | 4.53664i | 0.193619 | − | 0.335358i | ||||
\(184\) | 7.05473 | + | 5.91962i | 0.520082 | + | 0.436400i | ||||
\(185\) | 5.03224 | + | 1.83159i | 0.369978 | + | 0.134661i | ||||
\(186\) | 4.19893 | − | 1.52828i | 0.307880 | − | 0.112059i | ||||
\(187\) | −0.823874 | + | 0.691312i | −0.0602476 | + | 0.0505538i | ||||
\(188\) | 0.381797 | + | 2.16528i | 0.0278454 | + | 0.157919i | ||||
\(189\) | −2.47214 | −0.179821 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 12.7302 | 0.921122 | 0.460561 | − | 0.887628i | \(-0.347648\pi\) | ||||
0.460561 | + | 0.887628i | \(0.347648\pi\) | |||||||
\(192\) | −0.222978 | − | 1.26457i | −0.0160921 | − | 0.0912626i | ||||
\(193\) | −13.3890 | + | 11.2347i | −0.963759 | + | 0.808690i | −0.981561 | − | 0.191152i | \(-0.938778\pi\) |
0.0178014 | + | 0.999842i | \(0.494333\pi\) | |||||||
\(194\) | −3.83842 | + | 1.39707i | −0.275582 | + | 0.100304i | ||||
\(195\) | −21.8131 | − | 7.93932i | −1.56207 | − | 0.568547i | ||||
\(196\) | −5.21234 | − | 4.37367i | −0.372310 | − | 0.312405i | ||||
\(197\) | 12.2556 | − | 21.2274i | 0.873178 | − | 1.51239i | 0.0144872 | − | 0.999895i | \(-0.495388\pi\) |
0.858691 | − | 0.512494i | \(-0.171278\pi\) | |||||||
\(198\) | 2.72233 | + | 4.71521i | 0.193467 | + | 0.335095i | ||||
\(199\) | 2.85931 | − | 16.2159i | 0.202691 | − | 1.14952i | −0.698341 | − | 0.715765i | \(-0.746078\pi\) |
0.901032 | − | 0.433753i | \(-0.142811\pi\) | |||||||
\(200\) | −1.50350 | + | 8.52679i | −0.106314 | + | 0.602935i | ||||
\(201\) | −0.0948696 | − | 0.164319i | −0.00669159 | − | 0.0115902i | ||||
\(202\) | 0.212639 | − | 0.368301i | 0.0149612 | − | 0.0259136i | ||||
\(203\) | −0.0757822 | − | 0.0635888i | −0.00531887 | − | 0.00446306i | ||||
\(204\) | 0.322044 | + | 0.117214i | 0.0225476 | + | 0.00820664i | ||||
\(205\) | −27.3129 | + | 9.94109i | −1.90762 | + | 0.694316i | ||||
\(206\) | −3.47492 | + | 2.91580i | −0.242109 | + | 0.203153i | ||||
\(207\) | 2.16072 | + | 12.2540i | 0.150180 | + | 0.851714i | ||||
\(208\) | −4.89149 | −0.339164 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −2.09975 | −0.144897 | ||||||||
\(211\) | −4.77193 | − | 27.0630i | −0.328513 | − | 1.86309i | −0.483739 | − | 0.875212i | \(-0.660722\pi\) |
0.155226 | − | 0.987879i | \(-0.450389\pi\) | |||||||
\(212\) | −7.61633 | + | 6.39086i | −0.523091 | + | 0.438926i | ||||
\(213\) | −13.8391 | + | 5.03702i | −0.948239 | + | 0.345131i | ||||
\(214\) | 2.98025 | + | 1.08472i | 0.203726 | + | 0.0741500i | ||||
\(215\) | −15.9538 | − | 13.3868i | −1.08804 | − | 0.912973i | ||||
\(216\) | 2.79360 | − | 4.83866i | 0.190081 | − | 0.329229i | ||||
\(217\) | −0.769854 | − | 1.33343i | −0.0522611 | − | 0.0905189i | ||||
\(218\) | −1.17753 | + | 6.67810i | −0.0797523 | + | 0.452298i | ||||
\(219\) | −0.317133 | + | 1.79855i | −0.0214298 | + | 0.121535i | ||||
\(220\) | 7.44627 | + | 12.8973i | 0.502027 | + | 0.869536i | ||||
\(221\) | 0.652752 | − | 1.13060i | 0.0439089 | − | 0.0760524i | ||||
\(222\) | −1.42535 | − | 1.19601i | −0.0956634 | − | 0.0802712i | ||||
\(223\) | 19.1421 | + | 6.96715i | 1.28185 | + | 0.466555i | 0.891043 | − | 0.453918i | \(-0.149974\pi\) |
0.390806 | + | 0.920473i | \(0.372196\pi\) | |||||||
\(224\) | −0.415780 | + | 0.151331i | −0.0277804 | + | 0.0101113i | ||||
\(225\) | −8.96166 | + | 7.51973i | −0.597444 | + | 0.501315i | ||||
\(226\) | −1.74418 | − | 9.89175i | −0.116021 | − | 0.657990i | ||||
\(227\) | 22.1493 | 1.47010 | 0.735051 | − | 0.678011i | \(-0.237158\pi\) | ||||
0.735051 | + | 0.678011i | \(0.237158\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 12.7148 | 0.840216 | 0.420108 | − | 0.907474i | \(-0.361992\pi\) | ||||
0.420108 | + | 0.907474i | \(0.361992\pi\) | |||||||
\(230\) | 5.91011 | + | 33.5179i | 0.389701 | + | 2.21011i | ||||
\(231\) | −1.75385 | + | 1.47166i | −0.115395 | + | 0.0968279i | ||||
\(232\) | 0.210098 | − | 0.0764694i | 0.0137936 | − | 0.00502046i | ||||
\(233\) | 8.15819 | + | 2.96934i | 0.534461 | + | 0.194528i | 0.595129 | − | 0.803630i | \(-0.297101\pi\) |
−0.0606683 | + | 0.998158i | \(0.519323\pi\) | |||||||
\(234\) | −5.06286 | − | 4.24824i | −0.330970 | − | 0.277716i | ||||
\(235\) | −4.06285 | + | 7.03706i | −0.265031 | + | 0.459047i | ||||
\(236\) | −1.75476 | − | 3.03934i | −0.114225 | − | 0.197844i | ||||
\(237\) | 2.27513 | − | 12.9029i | 0.147785 | − | 0.838133i | ||||
\(238\) | 0.0205062 | − | 0.116296i | 0.00132922 | − | 0.00753837i | ||||
\(239\) | −10.9375 | − | 18.9442i | −0.707485 | − | 1.22540i | −0.965787 | − | 0.259336i | \(-0.916496\pi\) |
0.258302 | − | 0.966064i | \(-0.416837\pi\) | |||||||
\(240\) | 2.37280 | − | 4.10980i | 0.153163 | − | 0.265287i | ||||
\(241\) | 14.5267 | + | 12.1893i | 0.935745 | + | 0.785183i | 0.976840 | − | 0.213972i | \(-0.0686402\pi\) |
−0.0410952 | + | 0.999155i | \(0.513085\pi\) | |||||||
\(242\) | 4.92235 | + | 1.79159i | 0.316421 | + | 0.115168i | ||||
\(243\) | 11.9849 | − | 4.36213i | 0.768829 | − | 0.279831i | ||||
\(244\) | 3.12512 | − | 2.62228i | 0.200065 | − | 0.167874i | ||||
\(245\) | −4.36664 | − | 24.7645i | −0.278975 | − | 1.58214i | ||||
\(246\) | 10.0989 | 0.643884 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | 3.47985 | 0.220971 | ||||||||
\(249\) | 0.733325 | + | 4.15889i | 0.0464726 | + | 0.263559i | ||||
\(250\) | −10.3570 | + | 8.69058i | −0.655036 | + | 0.549641i | ||||
\(251\) | −2.72770 | + | 0.992801i | −0.172171 | + | 0.0626650i | −0.426667 | − | 0.904409i | \(-0.640312\pi\) |
0.254497 | + | 0.967074i | \(0.418090\pi\) | |||||||
\(252\) | −0.561777 | − | 0.204470i | −0.0353886 | − | 0.0128804i | ||||
\(253\) | 28.4283 | + | 23.8541i | 1.78727 | + | 1.49970i | ||||
\(254\) | −7.04029 | + | 12.1941i | −0.441747 | + | 0.765129i | ||||
\(255\) | 0.633283 | + | 1.09688i | 0.0396577 | + | 0.0686892i | ||||
\(256\) | 0.173648 | − | 0.984808i | 0.0108530 | − | 0.0615505i | ||||
\(257\) | −3.97741 | + | 22.5570i | −0.248104 | + | 1.40707i | 0.565067 | + | 0.825045i | \(0.308850\pi\) |
−0.813171 | + | 0.582024i | \(0.802261\pi\) | |||||||
\(258\) | 3.61803 | + | 6.26662i | 0.225249 | + | 0.390143i | ||||
\(259\) | −0.320571 | + | 0.555245i | −0.0199193 | + | 0.0345013i | ||||
\(260\) | −13.8482 | − | 11.6200i | −0.858830 | − | 0.720644i | ||||
\(261\) | 0.283872 | + | 0.103321i | 0.0175712 | + | 0.00639541i | ||||
\(262\) | 14.8861 | − | 5.41811i | 0.919669 | − | 0.334732i | ||||
\(263\) | −3.87799 | + | 3.25402i | −0.239127 | + | 0.200652i | −0.754474 | − | 0.656330i | \(-0.772108\pi\) |
0.515346 | + | 0.856982i | \(0.327663\pi\) | |||||||
\(264\) | −0.898528 | − | 5.09581i | −0.0553006 | − | 0.313625i | ||||
\(265\) | −36.7443 | −2.25719 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −7.65407 | −0.468421 | ||||||||
\(268\) | −0.0256588 | − | 0.145518i | −0.00156736 | − | 0.00888893i | ||||
\(269\) | 15.8892 | − | 13.3327i | 0.968784 | − | 0.812906i | −0.0135754 | − | 0.999908i | \(-0.504321\pi\) |
0.982360 | + | 0.187001i | \(0.0598769\pi\) | |||||||
\(270\) | 19.4035 | − | 7.06229i | 1.18086 | − | 0.429797i | ||||
\(271\) | −5.91508 | − | 2.15291i | −0.359316 | − | 0.130780i | 0.156053 | − | 0.987749i | \(-0.450123\pi\) |
−0.515369 | + | 0.856968i | \(0.672345\pi\) | |||||||
\(272\) | 0.204452 | + | 0.171556i | 0.0123967 | + | 0.0104021i | ||||
\(273\) | 1.38957 | − | 2.40681i | 0.0841006 | − | 0.145667i | ||||
\(274\) | 1.10372 | + | 1.91169i | 0.0666780 | + | 0.115490i | ||||
\(275\) | −6.05862 | + | 34.3602i | −0.365349 | + | 2.07200i | ||||
\(276\) | 2.05347 | − | 11.6458i | 0.123604 | − | 0.700996i | ||||
\(277\) | −3.58804 | − | 6.21467i | −0.215584 | − | 0.373403i | 0.737869 | − | 0.674944i | \(-0.235832\pi\) |
−0.953453 | + | 0.301541i | \(0.902499\pi\) | |||||||
\(278\) | −8.53222 | + | 14.7782i | −0.511729 | + | 0.886340i | ||||
\(279\) | 3.60177 | + | 3.02224i | 0.215632 | + | 0.180937i | ||||
\(280\) | −1.53660 | − | 0.559278i | −0.0918297 | − | 0.0334233i | ||||
\(281\) | 2.60662 | − | 0.948733i | 0.155498 | − | 0.0565967i | −0.263098 | − | 0.964769i | \(-0.584744\pi\) |
0.418597 | + | 0.908172i | \(0.362522\pi\) | |||||||
\(282\) | 2.16276 | − | 1.81477i | 0.128790 | − | 0.108068i | ||||
\(283\) | 1.34553 | + | 7.63089i | 0.0799836 | + | 0.453609i | 0.998327 | + | 0.0578244i | \(0.0184164\pi\) |
−0.918343 | + | 0.395785i | \(0.870473\pi\) | |||||||
\(284\) | −11.4691 | −0.680567 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −19.7111 | −1.16554 | ||||||||
\(287\) | −0.604270 | − | 3.42699i | −0.0356689 | − | 0.202289i | ||||
\(288\) | 1.03503 | − | 0.868497i | 0.0609900 | − | 0.0511767i | ||||
\(289\) | 15.9078 | − | 5.78998i | 0.935755 | − | 0.340587i | ||||
\(290\) | 0.776463 | + | 0.282609i | 0.0455955 | + | 0.0165954i | ||||
\(291\) | 4.01802 | + | 3.37152i | 0.235540 | + | 0.197642i | ||||
\(292\) | −0.711130 | + | 1.23171i | −0.0416157 | + | 0.0720806i | ||||
\(293\) | −0.391435 | − | 0.677985i | −0.0228679 | − | 0.0396083i | 0.854365 | − | 0.519673i | \(-0.173946\pi\) |
−0.877233 | + | 0.480065i | \(0.840613\pi\) | |||||||
\(294\) | −1.51719 | + | 8.60443i | −0.0884845 | + | 0.501820i | ||||
\(295\) | 2.25225 | − | 12.7732i | 0.131131 | − | 0.743683i | ||||
\(296\) | −0.724514 | − | 1.25490i | −0.0421115 | − | 0.0729393i | ||||
\(297\) | 11.2573 | − | 19.4982i | 0.653215 | − | 1.13140i | ||||
\(298\) | −10.3767 | − | 8.70705i | −0.601104 | − | 0.504386i | ||||
\(299\) | −42.3305 | − | 15.4071i | −2.44804 | − | 0.891013i | ||||
\(300\) | 10.4475 | − | 3.80257i | 0.603186 | − | 0.219542i | ||||
\(301\) | 1.91004 | − | 1.60271i | 0.110093 | − | 0.0923789i | ||||
\(302\) | −1.58943 | − | 9.01412i | −0.0914615 | − | 0.518704i | ||||
\(303\) | −0.546090 | −0.0313720 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | 15.0769 | 0.863298 | ||||||||
\(306\) | 0.0626193 | + | 0.355132i | 0.00357971 | + | 0.0203015i | ||||
\(307\) | 21.5785 | − | 18.1065i | 1.23155 | − | 1.03339i | 0.233416 | − | 0.972377i | \(-0.425010\pi\) |
0.998137 | − | 0.0610179i | \(-0.0194347\pi\) | |||||||
\(308\) | −1.67546 | + | 0.609816i | −0.0954680 | + | 0.0347475i | ||||
\(309\) | 5.47354 | + | 1.99220i | 0.311379 | + | 0.113333i | ||||
\(310\) | 9.85176 | + | 8.26660i | 0.559542 | + | 0.469512i | ||||
\(311\) | −1.93414 | + | 3.35002i | −0.109675 | + | 0.189962i | −0.915639 | − | 0.402003i | \(-0.868314\pi\) |
0.805964 | + | 0.591965i | \(0.201648\pi\) | |||||||
\(312\) | 3.14053 | + | 5.43956i | 0.177798 | + | 0.307954i | ||||
\(313\) | 5.27678 | − | 29.9261i | 0.298261 | − | 1.69152i | −0.355382 | − | 0.934721i | \(-0.615649\pi\) |
0.653643 | − | 0.756803i | \(-0.273240\pi\) | |||||||
\(314\) | 2.84614 | − | 16.1413i | 0.160617 | − | 0.910905i | ||||
\(315\) | −1.10471 | − | 1.91341i | −0.0622432 | − | 0.107808i | ||||
\(316\) | 5.10169 | − | 8.83638i | 0.286992 | − | 0.497085i | ||||
\(317\) | −4.08151 | − | 3.42479i | −0.229240 | − | 0.192356i | 0.520931 | − | 0.853599i | \(-0.325585\pi\) |
−0.750172 | + | 0.661243i | \(0.770029\pi\) | |||||||
\(318\) | 11.9969 | + | 4.36652i | 0.672753 | + | 0.244862i | ||||
\(319\) | 0.846626 | − | 0.308147i | 0.0474020 | − | 0.0172529i | ||||
\(320\) | 2.83108 | − | 2.37556i | 0.158262 | − | 0.132798i | ||||
\(321\) | −0.707178 | − | 4.01060i | −0.0394708 | − | 0.223850i | ||||
\(322\) | −4.07478 | −0.227079 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −3.12099 | −0.173389 | ||||||||
\(325\) | −7.35437 | − | 41.7087i | −0.407947 | − | 2.31358i | ||||
\(326\) | 10.5502 | − | 8.85263i | 0.584319 | − | 0.490302i | ||||
\(327\) | 8.18237 | − | 2.97814i | 0.452486 | − | 0.164691i | ||||
\(328\) | 7.39042 | + | 2.68989i | 0.408068 | + | 0.148525i | ||||
\(329\) | −0.745235 | − | 0.625326i | −0.0410861 | − | 0.0344754i | ||||
\(330\) | 9.56159 | − | 16.5612i | 0.526348 | − | 0.911662i | ||||
\(331\) | −10.2740 | − | 17.7951i | −0.564711 | − | 0.978108i | −0.997077 | − | 0.0764094i | \(-0.975654\pi\) |
0.432366 | − | 0.901698i | \(-0.357679\pi\) | |||||||
\(332\) | −0.571090 | + | 3.23881i | −0.0313427 | + | 0.177753i | ||||
\(333\) | 0.339976 | − | 1.92810i | 0.0186305 | − | 0.105659i | ||||
\(334\) | 5.16640 | + | 8.94847i | 0.282693 | + | 0.489638i | ||||
\(335\) | 0.273045 | − | 0.472928i | 0.0149180 | − | 0.0258388i | ||||
\(336\) | 0.435234 | + | 0.365205i | 0.0237440 | + | 0.0199236i | ||||
\(337\) | 12.4814 | + | 4.54285i | 0.679905 | + | 0.247465i | 0.658807 | − | 0.752312i | \(-0.271062\pi\) |
0.0210980 | + | 0.999777i | \(0.493284\pi\) | |||||||
\(338\) | 10.2677 | − | 3.73715i | 0.558491 | − | 0.203274i | ||||
\(339\) | −9.88024 | + | 8.29051i | −0.536621 | + | 0.450279i | ||||
\(340\) | 0.171280 | + | 0.971376i | 0.00928895 | + | 0.0526803i | ||||
\(341\) | 14.0227 | 0.759370 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 6.10787 | 0.329794 | ||||||||
\(344\) | 0.978546 | + | 5.54961i | 0.0527596 | + | 0.299215i | ||||
\(345\) | 33.4789 | − | 28.0921i | 1.80244 | − | 1.51243i | ||||
\(346\) | 9.22028 | − | 3.35591i | 0.495685 | − | 0.180415i | ||||
\(347\) | −28.3245 | − | 10.3093i | −1.52054 | − | 0.553431i | −0.559257 | − | 0.828994i | \(-0.688914\pi\) |
−0.961283 | + | 0.275563i | \(0.911136\pi\) | |||||||
\(348\) | −0.219929 | − | 0.184542i | −0.0117894 | − | 0.00989249i | ||||
\(349\) | −17.5326 | + | 30.3674i | −0.938501 | + | 1.62553i | −0.170232 | + | 0.985404i | \(0.554452\pi\) |
−0.768269 | + | 0.640127i | \(0.778882\pi\) | |||||||
\(350\) | −1.91550 | − | 3.31774i | −0.102388 | − | 0.177341i | ||||
\(351\) | −4.74577 | + | 26.9146i | −0.253310 | + | 1.43659i | ||||
\(352\) | 0.699745 | − | 3.96845i | 0.0372965 | − | 0.211519i | ||||
\(353\) | −6.77053 | − | 11.7269i | −0.360359 | − | 0.624160i | 0.627661 | − | 0.778487i | \(-0.284012\pi\) |
−0.988020 | + | 0.154327i | \(0.950679\pi\) | |||||||
\(354\) | −2.25325 | + | 3.90275i | −0.119759 | + | 0.207429i | ||||
\(355\) | −32.4700 | − | 27.2456i | −1.72333 | − | 1.44605i | ||||
\(356\) | −5.60127 | − | 2.03870i | −0.296867 | − | 0.108051i | ||||
\(357\) | −0.142493 | + | 0.0518630i | −0.00754151 | + | 0.00274488i | ||||
\(358\) | −6.73989 | + | 5.65544i | −0.356214 | + | 0.298899i | ||||
\(359\) | −4.08199 | − | 23.1501i | −0.215439 | − | 1.22182i | −0.880143 | − | 0.474708i | \(-0.842554\pi\) |
0.664704 | − | 0.747107i | \(-0.268558\pi\) | |||||||
\(360\) | 4.99344 | 0.263177 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | 14.5278 | 0.763562 | ||||||||
\(363\) | −1.16802 | − | 6.62415i | −0.0613050 | − | 0.347678i | ||||
\(364\) | 1.65795 | − | 1.39119i | 0.0869004 | − | 0.0729181i | ||||
\(365\) | −4.93928 | + | 1.79775i | −0.258534 | + | 0.0940986i | ||||
\(366\) | −4.92254 | − | 1.79166i | −0.257306 | − | 0.0936516i | ||||
\(367\) | −9.72331 | − | 8.15883i | −0.507553 | − | 0.425887i | 0.352714 | − | 0.935731i | \(-0.385259\pi\) |
−0.860267 | + | 0.509844i | \(0.829703\pi\) | |||||||
\(368\) | 4.60465 | − | 7.97549i | 0.240034 | − | 0.415751i | ||||
\(369\) | 5.31318 | + | 9.20269i | 0.276593 | + | 0.479073i | ||||
\(370\) | 0.929920 | − | 5.27384i | 0.0483443 | − | 0.274174i | ||||
\(371\) | 0.763905 | − | 4.33232i | 0.0396600 | − | 0.224923i | ||||
\(372\) | −2.23420 | − | 3.86975i | −0.115838 | − | 0.200637i | ||||
\(373\) | 1.32475 | − | 2.29454i | 0.0685930 | − | 0.118807i | −0.829689 | − | 0.558226i | \(-0.811482\pi\) |
0.898282 | + | 0.439419i | \(0.144816\pi\) | |||||||
\(374\) | 0.823874 | + | 0.691312i | 0.0426015 | + | 0.0357469i | ||||
\(375\) | 16.3139 | + | 5.93779i | 0.842448 | + | 0.306626i | ||||
\(376\) | 2.06608 | − | 0.751992i | 0.106550 | − | 0.0387810i | ||||
\(377\) | −0.837782 | + | 0.702983i | −0.0431480 | + | 0.0362055i | ||||
\(378\) | 0.429282 | + | 2.43458i | 0.0220799 | + | 0.125221i | ||||
\(379\) | −18.1672 | −0.933187 | −0.466593 | − | 0.884472i | \(-0.654519\pi\) | ||||
−0.466593 | + | 0.884472i | \(0.654519\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 18.0806 | 0.926297 | ||||||||
\(382\) | −2.21057 | − | 12.5368i | −0.113103 | − | 0.641436i | ||||
\(383\) | −17.6254 | + | 14.7895i | −0.900616 | + | 0.755706i | −0.970311 | − | 0.241862i | \(-0.922242\pi\) |
0.0696951 | + | 0.997568i | \(0.477797\pi\) | |||||||
\(384\) | −1.20664 | + | 0.439181i | −0.0615761 | + | 0.0224119i | ||||
\(385\) | −6.19201 | − | 2.25371i | −0.315574 | − | 0.114860i | ||||
\(386\) | 13.3890 | + | 11.2347i | 0.681481 | + | 0.571830i | ||||
\(387\) | −3.80699 | + | 6.59390i | −0.193520 | + | 0.335187i | ||||
\(388\) | 2.04238 | + | 3.53750i | 0.103686 | + | 0.179590i | ||||
\(389\) | −2.87746 | + | 16.3189i | −0.145893 | + | 0.827400i | 0.820753 | + | 0.571283i | \(0.193554\pi\) |
−0.966646 | + | 0.256117i | \(0.917557\pi\) | |||||||
\(390\) | −4.03090 | + | 22.8604i | −0.204113 | + | 1.15758i | ||||
\(391\) | 1.22895 | + | 2.12860i | 0.0621506 | + | 0.107648i | ||||
\(392\) | −3.40211 | + | 5.89263i | −0.171833 | + | 0.297623i | ||||
\(393\) | −15.5827 | − | 13.0754i | −0.786042 | − | 0.659568i | ||||
\(394\) | −23.0331 | − | 8.38335i | −1.16039 | − | 0.422347i | ||||
\(395\) | 35.4347 | − | 12.8972i | 1.78291 | − | 0.648927i | ||||
\(396\) | 4.17085 | − | 3.49976i | 0.209593 | − | 0.175869i | ||||
\(397\) | −3.09004 | − | 17.5245i | −0.155085 | − | 0.879529i | −0.958708 | − | 0.284391i | \(-0.908209\pi\) |
0.803624 | − | 0.595138i | \(-0.202902\pi\) | |||||||
\(398\) | −16.4661 | −0.825371 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 8.65833 | 0.432916 | ||||||||
\(401\) | −5.31736 | − | 30.1563i | −0.265536 | − | 1.50593i | −0.767503 | − | 0.641045i | \(-0.778501\pi\) |
0.501967 | − | 0.864887i | \(-0.332610\pi\) | |||||||
\(402\) | −0.145349 | + | 0.121962i | −0.00724933 | + | 0.00608291i | ||||
\(403\) | −15.9951 | + | 5.82175i | −0.796775 | + | 0.290002i | ||||
\(404\) | −0.399630 | − | 0.145453i | −0.0198823 | − | 0.00723658i | ||||
\(405\) | −8.83580 | − | 7.41412i | −0.439054 | − | 0.368410i | ||||
\(406\) | −0.0494633 | + | 0.0856730i | −0.00245482 | + | 0.00425188i | ||||
\(407\) | −2.91955 | − | 5.05682i | −0.144717 | − | 0.250657i | ||||
\(408\) | 0.0595113 | − | 0.337505i | 0.00294625 | − | 0.0167090i | ||||
\(409\) | −1.58771 | + | 9.00437i | −0.0785074 | + | 0.445237i | 0.920062 | + | 0.391772i | \(0.128138\pi\) |
−0.998570 | + | 0.0534654i | \(0.982973\pi\) | |||||||
\(410\) | 14.5329 | + | 25.1717i | 0.717729 | + | 1.24314i | ||||
\(411\) | 1.41726 | − | 2.45477i | 0.0699083 | − | 0.121085i | ||||
\(412\) | 3.47492 | + | 2.91580i | 0.171197 | + | 0.143651i | ||||
\(413\) | 1.45919 | + | 0.531101i | 0.0718020 | + | 0.0261338i | ||||
\(414\) | 11.6927 | − | 4.25578i | 0.574663 | − | 0.209160i | ||||
\(415\) | −9.31081 | + | 7.81270i | −0.457050 | + | 0.383510i | ||||
\(416\) | 0.849399 | + | 4.81718i | 0.0416452 | + | 0.236182i | ||||
\(417\) | 21.9121 | 1.07304 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 12.6157 | 0.616315 | 0.308158 | − | 0.951335i | \(-0.400288\pi\) | ||||
0.308158 | + | 0.951335i | \(0.400288\pi\) | |||||||
\(420\) | 0.364618 | + | 2.06785i | 0.0177915 | + | 0.100901i | ||||
\(421\) | −25.4751 | + | 21.3761i | −1.24158 | + | 1.04181i | −0.244180 | + | 0.969730i | \(0.578519\pi\) |
−0.997399 | + | 0.0720781i | \(0.977037\pi\) | |||||||
\(422\) | −25.8232 | + | 9.39887i | −1.25705 | + | 0.457530i | ||||
\(423\) | 2.79157 | + | 1.01605i | 0.135731 | + | 0.0494019i | ||||
\(424\) | 7.61633 | + | 6.39086i | 0.369881 | + | 0.310367i | ||||
\(425\) | −1.15542 | + | 2.00125i | −0.0560463 | + | 0.0970750i | ||||
\(426\) | 7.36363 | + | 12.7542i | 0.356769 | + | 0.617942i | ||||
\(427\) | −0.313444 | + | 1.77763i | −0.0151686 | + | 0.0860255i | ||||
\(428\) | 0.550728 | − | 3.12333i | 0.0266204 | − | 0.150972i | ||||
\(429\) | 12.6553 | + | 21.9196i | 0.611004 | + | 1.05829i | ||||
\(430\) | −10.4131 | + | 18.0360i | −0.502164 | + | 0.869773i | ||||
\(431\) | 17.6125 | + | 14.7786i | 0.848363 | + | 0.711861i | 0.959429 | − | 0.281952i | \(-0.0909818\pi\) |
−0.111065 | + | 0.993813i | \(0.535426\pi\) | |||||||
\(432\) | −5.25026 | − | 1.91094i | −0.252603 | − | 0.0919400i | ||||
\(433\) | 32.6160 | − | 11.8713i | 1.56743 | − | 0.570496i | 0.595004 | − | 0.803723i | \(-0.297151\pi\) |
0.972422 | + | 0.233227i | \(0.0749284\pi\) | |||||||
\(434\) | −1.17948 | + | 0.989705i | −0.0566171 | + | 0.0475074i | ||||
\(435\) | −0.184245 | − | 1.04491i | −0.00883389 | − | 0.0500995i | ||||
\(436\) | 6.78112 | 0.324757 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | 1.82629 | 0.0872637 | ||||||||
\(439\) | 6.33500 | + | 35.9276i | 0.302353 | + | 1.71473i | 0.635709 | + | 0.771929i | \(0.280708\pi\) |
−0.333356 | + | 0.942801i | \(0.608181\pi\) | |||||||
\(440\) | 11.4083 | − | 9.57273i | 0.543871 | − | 0.456362i | ||||
\(441\) | −8.63903 | + | 3.14435i | −0.411383 | + | 0.149731i | ||||
\(442\) | −1.22677 | − | 0.446509i | −0.0583516 | − | 0.0212383i | ||||
\(443\) | 9.00738 | + | 7.55809i | 0.427953 | + | 0.359096i | 0.831179 | − | 0.556005i | \(-0.187667\pi\) |
−0.403225 | + | 0.915101i | \(0.632111\pi\) | |||||||
\(444\) | −0.930333 | + | 1.61138i | −0.0441517 | + | 0.0764729i | ||||
\(445\) | −11.0146 | − | 19.0779i | −0.522143 | − | 0.904378i | ||||
\(446\) | 3.53732 | − | 20.0611i | 0.167497 | − | 0.949921i | ||||
\(447\) | −3.02041 | + | 17.1296i | −0.142860 | + | 0.810201i | ||||
\(448\) | 0.221232 | + | 0.383185i | 0.0104522 | + | 0.0181038i | ||||
\(449\) | −4.34551 | + | 7.52664i | −0.205077 | + | 0.355204i | −0.950157 | − | 0.311771i | \(-0.899078\pi\) |
0.745080 | + | 0.666975i | \(0.232411\pi\) | |||||||
\(450\) | 8.96166 | + | 7.51973i | 0.422457 | + | 0.354483i | ||||
\(451\) | 29.7810 | + | 10.8394i | 1.40233 | + | 0.510407i | ||||
\(452\) | −9.43860 | + | 3.43537i | −0.443955 | + | 0.161586i | ||||
\(453\) | −9.00363 | + | 7.55494i | −0.423027 | + | 0.354962i | ||||
\(454\) | −3.84619 | − | 21.8128i | −0.180511 | − | 1.02373i | ||||
\(455\) | 7.99866 | 0.374983 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −13.0286 | −0.609454 | −0.304727 | − | 0.952440i | \(-0.598565\pi\) | ||||
−0.304727 | + | 0.952440i | \(0.598565\pi\) | |||||||
\(458\) | −2.20790 | − | 12.5216i | −0.103168 | − | 0.585096i | ||||
\(459\) | 1.14232 | − | 0.958516i | 0.0533187 | − | 0.0447397i | ||||
\(460\) | 31.9824 | − | 11.6406i | 1.49119 | − | 0.542748i | ||||
\(461\) | −8.49726 | − | 3.09275i | −0.395757 | − | 0.144044i | 0.136473 | − | 0.990644i | \(-0.456423\pi\) |
−0.532230 | + | 0.846600i | \(0.678646\pi\) | |||||||
\(462\) | 1.75385 | + | 1.47166i | 0.0815966 | + | 0.0684677i | ||||
\(463\) | 8.86025 | − | 15.3464i | 0.411771 | − | 0.713208i | −0.583313 | − | 0.812248i | \(-0.698244\pi\) |
0.995083 | + | 0.0990396i | \(0.0315771\pi\) | |||||||
\(464\) | −0.111791 | − | 0.193627i | −0.00518976 | − | 0.00898892i | ||||
\(465\) | 2.86762 | − | 16.2631i | 0.132983 | − | 0.754182i | ||||
\(466\) | 1.50757 | − | 8.54987i | 0.0698369 | − | 0.396065i | ||||
\(467\) | 3.93886 | + | 6.82231i | 0.182269 | + | 0.315699i | 0.942653 | − | 0.333775i | \(-0.108323\pi\) |
−0.760384 | + | 0.649474i | \(0.774989\pi\) | |||||||
\(468\) | −3.30455 | + | 5.72364i | −0.152753 | + | 0.264576i | ||||
\(469\) | 0.0500837 | + | 0.0420252i | 0.00231265 | + | 0.00194055i | ||||
\(470\) | 7.63566 | + | 2.77915i | 0.352207 | + | 0.128193i | ||||
\(471\) | −19.7772 | + | 7.19830i | −0.911284 | + | 0.331680i | ||||
\(472\) | −2.68845 | + | 2.25588i | −0.123746 | + | 0.103835i | ||||
\(473\) | 3.94322 | + | 22.3631i | 0.181309 | + | 1.02826i | ||||
\(474\) | −13.1019 | −0.601792 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −0.118090 | −0.00541266 | ||||||||
\(477\) | 2.33272 | + | 13.2295i | 0.106808 | + | 0.605738i | ||||
\(478\) | −16.7571 | + | 14.0609i | −0.766454 | + | 0.643131i | ||||
\(479\) | 28.3598 | − | 10.3221i | 1.29579 | − | 0.471629i | 0.400167 | − | 0.916442i | \(-0.368952\pi\) |
0.895624 | + | 0.444813i | \(0.146730\pi\) | |||||||
\(480\) | −4.45940 | − | 1.62309i | −0.203543 | − | 0.0740835i | ||||
\(481\) | 5.42965 | + | 4.55602i | 0.247571 | + | 0.207737i | ||||
\(482\) | 9.48160 | − | 16.4226i | 0.431875 | − | 0.748030i | ||||
\(483\) | 2.61617 | + | 4.53134i | 0.119040 | + | 0.206183i | ||||
\(484\) | 0.909614 | − | 5.15868i | 0.0413461 | − | 0.234485i | ||||
\(485\) | −2.62141 | + | 14.8668i | −0.119032 | + | 0.675065i | ||||
\(486\) | −6.37701 | − | 11.0453i | −0.289267 | − | 0.501025i | ||||
\(487\) | 17.8850 | − | 30.9777i | 0.810445 | − | 1.40373i | −0.102107 | − | 0.994773i | \(-0.532558\pi\) |
0.912553 | − | 0.408959i | \(-0.134108\pi\) | |||||||
\(488\) | −3.12512 | − | 2.62228i | −0.141467 | − | 0.118705i | ||||
\(489\) | −16.6181 | − | 6.04851i | −0.751498 | − | 0.273523i | ||||
\(490\) | −23.6300 | + | 8.60061i | −1.06749 | + | 0.388536i | ||||
\(491\) | −13.9976 | + | 11.7454i | −0.631705 | + | 0.530063i | −0.901458 | − | 0.432866i | \(-0.857502\pi\) |
0.269753 | + | 0.962929i | \(0.413058\pi\) | |||||||
\(492\) | −1.75366 | − | 9.94550i | −0.0790611 | − | 0.448378i | ||||
\(493\) | 0.0596724 | 0.00268751 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 20.1219 | 0.904413 | ||||||||
\(496\) | −0.604270 | − | 3.42699i | −0.0271325 | − | 0.153876i | ||||
\(497\) | 3.88742 | − | 3.26193i | 0.174375 | − | 0.146318i | ||||
\(498\) | 3.96837 | − | 1.44437i | 0.177827 | − | 0.0647237i | ||||
\(499\) | −16.6307 | − | 6.05307i | −0.744491 | − | 0.270972i | −0.0582051 | − | 0.998305i | \(-0.518538\pi\) |
−0.686286 | + | 0.727332i | \(0.740760\pi\) | |||||||
\(500\) | 10.3570 | + | 8.69058i | 0.463181 | + | 0.388655i | ||||
\(501\) | 6.63407 | − | 11.4905i | 0.296388 | − | 0.513360i | ||||
\(502\) | 1.45138 | + | 2.51386i | 0.0647782 | + | 0.112199i | ||||
\(503\) | −1.76952 | + | 10.0354i | −0.0788989 | + | 0.447458i | 0.919608 | + | 0.392837i | \(0.128506\pi\) |
−0.998507 | + | 0.0546212i | \(0.982605\pi\) | |||||||
\(504\) | −0.103812 | + | 0.588748i | −0.00462416 | + | 0.0262249i | ||||
\(505\) | −0.785853 | − | 1.36114i | −0.0349700 | − | 0.0605698i | ||||
\(506\) | 18.5552 | − | 32.1386i | 0.824881 | − | 1.42874i | ||||
\(507\) | −10.7482 | − | 9.01878i | −0.477343 | − | 0.400538i | ||||
\(508\) | 13.2314 | + | 4.81584i | 0.587050 | + | 0.213669i | ||||
\(509\) | −7.92745 | + | 2.88536i | −0.351378 | + | 0.127891i | −0.511678 | − | 0.859177i | \(-0.670976\pi\) |
0.160300 | + | 0.987068i | \(0.448754\pi\) | |||||||
\(510\) | 0.970246 | − | 0.814133i | 0.0429632 | − | 0.0360504i | ||||
\(511\) | −0.109276 | − | 0.619738i | −0.00483411 | − | 0.0274156i | ||||
\(512\) | −1.00000 | −0.0441942 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 22.9050 | 1.01030 | ||||||||
\(515\) | 2.91111 | + | 16.5098i | 0.128279 | + | 0.727507i | ||||
\(516\) | 5.54315 | − | 4.65125i | 0.244024 | − | 0.204760i | ||||
\(517\) | 8.32563 | − | 3.03028i | 0.366161 | − | 0.133272i | ||||
\(518\) | 0.602476 | + | 0.219283i | 0.0264713 | + | 0.00963476i | ||||
\(519\) | −9.65170 | − | 8.09874i | −0.423663 | − | 0.355495i | ||||
\(520\) | −9.03879 | + | 15.6556i | −0.396377 | + | 0.686545i | ||||
\(521\) | 4.48183 | + | 7.76275i | 0.196352 | + | 0.340092i | 0.947343 | − | 0.320221i | \(-0.103757\pi\) |
−0.750991 | + | 0.660313i | \(0.770424\pi\) | |||||||
\(522\) | 0.0524574 | − | 0.297501i | 0.00229600 | − | 0.0130213i | ||||
\(523\) | 0.371595 | − | 2.10742i | 0.0162487 | − | 0.0921512i | −0.975605 | − | 0.219534i | \(-0.929546\pi\) |
0.991854 | + | 0.127382i | \(0.0406576\pi\) | |||||||
\(524\) | −7.92075 | − | 13.7191i | −0.346020 | − | 0.599324i | ||||
\(525\) | −2.45965 | + | 4.26024i | −0.107348 | + | 0.185932i | ||||
\(526\) | 3.87799 | + | 3.25402i | 0.169089 | + | 0.141882i | ||||
\(527\) | 0.872738 | + | 0.317651i | 0.0380171 | + | 0.0138371i | ||||
\(528\) | −4.86236 | + | 1.76976i | −0.211607 | + | 0.0770187i | ||||
\(529\) | 47.3501 | − | 39.7315i | 2.05870 | − | 1.72746i | ||||
\(530\) | 6.38059 | + | 36.1861i | 0.277155 | + | 1.57182i | ||||
\(531\) | −4.74186 | −0.205779 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | −38.4702 | −1.66633 | ||||||||
\(534\) | 1.32912 | + | 7.53779i | 0.0575164 | + | 0.326192i | ||||
\(535\) | 8.97882 | − | 7.53412i | 0.388188 | − | 0.325729i | ||||
\(536\) | −0.138852 | + | 0.0505379i | −0.00599748 | + | 0.00218290i | ||||
\(537\) | 10.6164 | + | 3.86405i | 0.458131 | + | 0.166746i | ||||
\(538\) | −15.8892 | − | 13.3327i | −0.685034 | − | 0.574812i | ||||
\(539\) | −13.7094 | + | 23.7454i | −0.590506 | + | 1.02279i | ||||
\(540\) | −10.3244 | − | 17.8823i | −0.444290 | − | 0.769533i | ||||
\(541\) | −2.03369 | + | 11.5336i | −0.0874351 | + | 0.495869i | 0.909369 | + | 0.415990i | \(0.136565\pi\) |
−0.996805 | + | 0.0798797i | \(0.974546\pi\) | |||||||
\(542\) | −1.09306 | + | 6.19907i | −0.0469511 | + | 0.266273i | ||||
\(543\) | −9.32739 | − | 16.1555i | −0.400277 | − | 0.693299i | ||||
\(544\) | 0.133446 | − | 0.231136i | 0.00572147 | − | 0.00990988i | ||||
\(545\) | 19.1979 | + | 16.1090i | 0.822348 | + | 0.690032i | ||||
\(546\) | −2.61154 | − | 0.950522i | −0.111763 | − | 0.0406786i | ||||
\(547\) | −23.4826 | + | 8.54697i | −1.00404 | + | 0.365442i | −0.791143 | − | 0.611632i | \(-0.790513\pi\) |
−0.212901 | + | 0.977074i | \(0.568291\pi\) | |||||||
\(548\) | 1.69099 | − | 1.41891i | 0.0722357 | − | 0.0606129i | ||||
\(549\) | −0.957157 | − | 5.42830i | −0.0408504 | − | 0.231674i | ||||
\(550\) | 34.8902 | 1.48772 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −11.8255 | −0.503325 | ||||||||
\(553\) | 0.783956 | + | 4.44603i | 0.0333372 | + | 0.189065i | ||||
\(554\) | −5.49720 | + | 4.61270i | −0.233554 | + | 0.195975i | ||||
\(555\) | −6.46179 | + | 2.35190i | −0.274288 | + | 0.0998326i | ||||
\(556\) | 16.0353 | + | 5.83638i | 0.680049 | + | 0.247518i | ||||
\(557\) | 7.04429 | + | 5.91086i | 0.298476 | + | 0.250451i | 0.779710 | − | 0.626141i | \(-0.215367\pi\) |
−0.481234 | + | 0.876592i | \(0.659811\pi\) | |||||||
\(558\) | 2.35089 | − | 4.07185i | 0.0995209 | − | 0.172375i | ||||
\(559\) | −13.7823 | − | 23.8717i | −0.582930 | − | 1.00966i | ||||
\(560\) | −0.283953 | + | 1.61038i | −0.0119992 | + | 0.0680509i | ||||
\(561\) | 0.239811 | − | 1.36004i | 0.0101248 | − | 0.0574207i | ||||
\(562\) | −1.38696 | − | 2.40228i | −0.0585052 | − | 0.101334i | ||||
\(563\) | 9.86122 | − | 17.0801i | 0.415601 | − | 0.719842i | −0.579890 | − | 0.814694i | \(-0.696905\pi\) |
0.995491 | + | 0.0948526i | \(0.0302380\pi\) | |||||||
\(564\) | −2.16276 | − | 1.81477i | −0.0910684 | − | 0.0764155i | ||||
\(565\) | −34.8824 | − | 12.6962i | −1.46751 | − | 0.534131i | ||||
\(566\) | 7.28131 | − | 2.65018i | 0.306056 | − | 0.111395i | ||||
\(567\) | 1.05785 | − | 0.887642i | 0.0444256 | − | 0.0372775i | ||||
\(568\) | 1.99159 | + | 11.2949i | 0.0835653 | + | 0.473923i | ||||
\(569\) | −22.1469 | −0.928446 | −0.464223 | − | 0.885718i | \(-0.653666\pi\) | ||||
−0.464223 | + | 0.885718i | \(0.653666\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −3.02145 | −0.126444 | −0.0632218 | − | 0.998000i | \(-0.520138\pi\) | ||||
−0.0632218 | + | 0.998000i | \(0.520138\pi\) | |||||||
\(572\) | 3.42280 | + | 19.4117i | 0.143114 | + | 0.811642i | ||||
\(573\) | −12.5222 | + | 10.5073i | −0.523121 | + | 0.438951i | ||||
\(574\) | −3.26999 | + | 1.19018i | −0.136487 | + | 0.0496771i | ||||
\(575\) | 74.9284 | + | 27.2717i | 3.12473 | + | 1.13731i | ||||
\(576\) | −1.03503 | − | 0.868497i | −0.0431264 | − | 0.0361874i | ||||
\(577\) | −1.15469 | + | 1.99998i | −0.0480704 | + | 0.0832603i | −0.889059 | − | 0.457792i | \(-0.848641\pi\) |
0.840989 | + | 0.541052i | \(0.181974\pi\) | |||||||
\(578\) | −8.46438 | − | 14.6607i | −0.352072 | − | 0.609807i | ||||
\(579\) | 3.89722 | − | 22.1022i | 0.161963 | − | 0.918538i | ||||
\(580\) | 0.143485 | − | 0.813741i | 0.00595787 | − | 0.0337888i | ||||
\(581\) | −0.727582 | − | 1.26021i | −0.0301852 | − | 0.0522823i | ||||
\(582\) | 2.62258 | − | 4.54243i | 0.108709 | − | 0.188290i | ||||
\(583\) | 30.6913 | + | 25.7531i | 1.27110 | + | 1.06658i | ||||
\(584\) | 1.33649 | + | 0.486442i | 0.0553042 | + | 0.0201291i | ||||
\(585\) | −22.9523 | + | 8.35396i | −0.948962 | + | 0.345394i | ||||
\(586\) | −0.599713 | + | 0.503219i | −0.0247739 | + | 0.0207878i | ||||
\(587\) | 4.87761 | + | 27.6623i | 0.201320 | + | 1.14174i | 0.903126 | + | 0.429376i | \(0.141266\pi\) |
−0.701805 | + | 0.712369i | \(0.747622\pi\) | |||||||
\(588\) | 8.73716 | 0.360315 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | −12.9702 | −0.533975 | ||||||||
\(591\) | 5.46548 | + | 30.9963i | 0.224820 | + | 1.27502i | ||||
\(592\) | −1.11002 | + | 0.931417i | −0.0456215 | + | 0.0382810i | ||||
\(593\) | 11.3645 | − | 4.13636i | 0.466686 | − | 0.169860i | −0.0979645 | − | 0.995190i | \(-0.531233\pi\) |
0.564651 | + | 0.825330i | \(0.309011\pi\) | |||||||
\(594\) | −21.1568 | − | 7.70045i | −0.868075 | − | 0.315953i | ||||
\(595\) | −0.334324 | − | 0.280531i | −0.0137059 | − | 0.0115006i | ||||
\(596\) | −6.77288 | + | 11.7310i | −0.277428 | + | 0.480519i | ||||
\(597\) | 10.5719 | + | 18.3110i | 0.432679 | + | 0.749421i | ||||
\(598\) | −7.82237 | + | 44.3628i | −0.319880 | + | 1.81413i | ||||
\(599\) | −3.38658 | + | 19.2062i | −0.138372 | + | 0.784745i | 0.834080 | + | 0.551643i | \(0.185999\pi\) |
−0.972452 | + | 0.233103i | \(0.925112\pi\) | |||||||
\(600\) | −5.55899 | − | 9.62845i | −0.226945 | − | 0.393080i | ||||
\(601\) | −19.4816 | + | 33.7431i | −0.794671 | + | 1.37641i | 0.128376 | + | 0.991726i | \(0.459023\pi\) |
−0.923048 | + | 0.384685i | \(0.874310\pi\) | |||||||
\(602\) | −1.91004 | − | 1.60271i | −0.0778474 | − | 0.0653217i | ||||
\(603\) | −0.187608 | − | 0.0682838i | −0.00764000 | − | 0.00278073i | ||||
\(604\) | −8.60117 | + | 3.13057i | −0.349977 | + | 0.127381i | ||||
\(605\) | 14.8300 | − | 12.4438i | 0.602923 | − | 0.505913i | ||||
\(606\) | 0.0948275 | + | 0.537793i | 0.00385210 | + | 0.0218464i | ||||
\(607\) | −8.46029 | −0.343393 | −0.171696 | − | 0.985150i | \(-0.554925\pi\) | ||||
−0.171696 | + | 0.985150i | \(0.554925\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 0.127030 | 0.00514750 | ||||||||
\(610\) | −2.61807 | − | 14.8478i | −0.106003 | − | 0.601170i | ||||
\(611\) | −8.23867 | + | 6.91306i | −0.333301 | + | 0.279673i | ||||
\(612\) | 0.338863 | − | 0.123336i | 0.0136977 | − | 0.00498556i | ||||
\(613\) | 2.73914 | + | 0.996964i | 0.110633 | + | 0.0402670i | 0.396743 | − | 0.917930i | \(-0.370140\pi\) |
−0.286111 | + | 0.958197i | \(0.592363\pi\) | |||||||
\(614\) | −21.5785 | − | 18.1065i | −0.870839 | − | 0.730721i | ||||
\(615\) | 18.6614 | − | 32.3225i | 0.752500 | − | 1.30337i | ||||
\(616\) | 0.891491 | + | 1.54411i | 0.0359192 | + | 0.0622139i | ||||
\(617\) | −0.524253 | + | 2.97318i | −0.0211056 | + | 0.119696i | −0.993540 | − | 0.113479i | \(-0.963800\pi\) |
0.972435 | + | 0.233175i | \(0.0749116\pi\) | |||||||
\(618\) | 1.01147 | − | 5.73632i | 0.0406872 | − | 0.230749i | ||||
\(619\) | 1.96406 | + | 3.40186i | 0.0789423 | + | 0.136732i | 0.902794 | − | 0.430074i | \(-0.141512\pi\) |
−0.823852 | + | 0.566806i | \(0.808179\pi\) | |||||||
\(620\) | 6.43028 | − | 11.1376i | 0.258246 | − | 0.447295i | ||||
\(621\) | −39.4163 | − | 33.0742i | −1.58172 | − | 1.32722i | ||||
\(622\) | 3.63499 | + | 1.32303i | 0.145750 | + | 0.0530485i | ||||
\(623\) | 2.47836 | − | 0.902048i | 0.0992933 | − | 0.0361398i | ||||
\(624\) | 4.81157 | − | 4.03739i | 0.192617 | − | 0.161625i | ||||
\(625\) | 1.15910 | + | 6.57360i | 0.0463641 | + | 0.262944i | ||||
\(626\) | −30.3878 | −1.21454 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −16.3903 | −0.654043 | ||||||||
\(629\) | −0.0671559 | − | 0.380860i | −0.00267768 | − | 0.0151859i | ||||
\(630\) | −1.69251 | + | 1.42018i | −0.0674312 | + | 0.0565815i | ||||
\(631\) | −9.52539 | + | 3.46696i | −0.379200 | + | 0.138018i | −0.524586 | − | 0.851358i | \(-0.675780\pi\) |
0.145386 | + | 0.989375i | \(0.453558\pi\) | |||||||
\(632\) | −9.58804 | − | 3.48976i | −0.381392 | − | 0.138815i | ||||
\(633\) | 27.0315 | + | 22.6821i | 1.07440 | + | 0.901532i | ||||
\(634\) | −2.66402 | + | 4.61421i | −0.105802 | + | 0.183254i | ||||
\(635\) | 26.0189 | + | 45.0661i | 1.03253 | + | 1.78839i | ||||
\(636\) | 2.21694 | − | 12.5729i | 0.0879073 | − | 0.498547i | ||||
\(637\) | 5.77950 | − | 32.7772i | 0.228992 | − | 1.29868i | ||||
\(638\) | −0.450480 | − | 0.780255i | −0.0178347 | − | 0.0308906i | ||||
\(639\) | −7.74820 | + | 13.4203i | −0.306514 | + | 0.530898i | ||||
\(640\) | −2.83108 | − | 2.37556i | −0.111908 | − | 0.0939023i | ||||
\(641\) | 7.78094 | + | 2.83203i | 0.307329 | + | 0.111859i | 0.491081 | − | 0.871114i | \(-0.336602\pi\) |
−0.183752 | + | 0.982973i | \(0.558824\pi\) | |||||||
\(642\) | −3.82687 | + | 1.39287i | −0.151035 | + | 0.0549721i | ||||
\(643\) | 28.2318 | − | 23.6893i | 1.11336 | − | 0.934216i | 0.115105 | − | 0.993353i | \(-0.463279\pi\) |
0.998250 | + | 0.0591372i | \(0.0188349\pi\) | |||||||
\(644\) | 0.707578 | + | 4.01287i | 0.0278825 | + | 0.158129i | ||||
\(645\) | 26.7425 | 1.05298 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −20.1901 | −0.793753 | −0.396876 | − | 0.917872i | \(-0.629906\pi\) | ||||
−0.396876 | + | 0.917872i | \(0.629906\pi\) | |||||||
\(648\) | 0.541955 | + | 3.07358i | 0.0212900 | + | 0.120742i | ||||
\(649\) | −10.8336 | + | 9.09046i | −0.425255 | + | 0.356832i | ||||
\(650\) | −39.7980 | + | 14.4853i | −1.56101 | + | 0.568160i | ||||
\(651\) | 1.85787 | + | 0.676210i | 0.0728158 | + | 0.0265028i | ||||
\(652\) | −10.5502 | − | 8.85263i | −0.413176 | − | 0.346696i | ||||
\(653\) | 11.0194 | − | 19.0861i | 0.431221 | − | 0.746897i | −0.565757 | − | 0.824572i | \(-0.691416\pi\) |
0.996979 | + | 0.0776744i | \(0.0247495\pi\) | |||||||
\(654\) | −4.35375 | − | 7.54091i | −0.170245 | − | 0.294873i | ||||
\(655\) | 10.1664 | − | 57.6563i | 0.397232 | − | 2.25282i | ||||
\(656\) | 1.36569 | − | 7.74524i | 0.0533214 | − | 0.302401i | ||||
\(657\) | 0.960837 | + | 1.66422i | 0.0374858 | + | 0.0649273i | ||||
\(658\) | −0.486417 | + | 0.842500i | −0.0189625 | + | 0.0328441i | ||||
\(659\) | 20.8530 | + | 17.4977i | 0.812316 | + | 0.681614i | 0.951159 | − | 0.308700i | \(-0.0998940\pi\) |
−0.138843 | + | 0.990314i | \(0.544338\pi\) | |||||||
\(660\) | −17.9699 | − | 6.54052i | −0.699478 | − | 0.254589i | ||||
\(661\) | −8.37102 | + | 3.04680i | −0.325595 | + | 0.118507i | −0.499646 | − | 0.866230i | \(-0.666536\pi\) |
0.174051 | + | 0.984737i | \(0.444314\pi\) | |||||||
\(662\) | −15.7407 | + | 13.2080i | −0.611780 | + | 0.513344i | ||||
\(663\) | 0.291099 | + | 1.65090i | 0.0113053 | + | 0.0641158i | ||||
\(664\) | 3.28878 | 0.127629 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −1.95784 | −0.0758648 | ||||||||
\(667\) | −0.357547 | − | 2.02775i | −0.0138443 | − | 0.0785147i | ||||
\(668\) | 7.91539 | − | 6.64180i | 0.306255 | − | 0.256979i | ||||
\(669\) | −24.5800 | + | 8.94637i | −0.950316 | + | 0.345887i | ||||
\(670\) | −0.513157 | − | 0.186774i | −0.0198250 | − | 0.00721570i | ||||
\(671\) | −12.5932 | − | 10.5669i | −0.486155 | − | 0.407932i | ||||
\(672\) | 0.284079 | − | 0.492039i | 0.0109586 | − | 0.0189808i | ||||
\(673\) | 17.8505 | + | 30.9180i | 0.688087 | + | 1.19180i | 0.972456 | + | 0.233086i | \(0.0748824\pi\) |
−0.284370 | + | 0.958715i | \(0.591784\pi\) | |||||||
\(674\) | 2.30647 | − | 13.0806i | 0.0888418 | − | 0.503847i | ||||
\(675\) | 8.40038 | − | 47.6409i | 0.323331 | − | 1.83370i | ||||
\(676\) | −5.46334 | − | 9.46279i | −0.210129 | − | 0.363953i | ||||
\(677\) | −13.6924 | + | 23.7160i | −0.526243 | + | 0.911480i | 0.473290 | + | 0.880907i | \(0.343066\pi\) |
−0.999533 | + | 0.0305727i | \(0.990267\pi\) | |||||||
\(678\) | 9.88024 | + | 8.29051i | 0.379448 | + | 0.318395i | ||||
\(679\) | −1.69836 | − | 0.618152i | −0.0651770 | − | 0.0237225i | ||||
\(680\) | 0.926876 | − | 0.337355i | 0.0355441 | − | 0.0129370i | ||||
\(681\) | −21.7874 | + | 18.2818i | −0.834897 | + | 0.700562i | ||||
\(682\) | −2.43501 | − | 13.8096i | −0.0932414 | − | 0.528798i | ||||
\(683\) | 38.1521 | 1.45985 | 0.729925 | − | 0.683528i | \(-0.239555\pi\) | ||||
0.729925 | + | 0.683528i | \(0.239555\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 8.15806 | 0.311703 | ||||||||
\(686\) | −1.06062 | − | 6.01507i | −0.0404947 | − | 0.229657i | ||||
\(687\) | −12.5070 | + | 10.4946i | −0.477173 | + | 0.400396i | ||||
\(688\) | 5.29537 | − | 1.92736i | 0.201884 | − | 0.0734799i | ||||
\(689\) | −45.7003 | − | 16.6335i | −1.74104 | − | 0.633687i | ||||
\(690\) | −33.4789 | − | 28.0921i | −1.27452 | − | 1.06945i | ||||
\(691\) | 14.1029 | − | 24.4269i | 0.536499 | − | 0.929244i | −0.462590 | − | 0.886572i | \(-0.653080\pi\) |
0.999089 | − | 0.0426714i | \(-0.0135868\pi\) | |||||||
\(692\) | −4.90601 | − | 8.49745i | −0.186498 | − | 0.323025i | ||||
\(693\) | −0.418329 | + | 2.37246i | −0.0158910 | + | 0.0901224i | ||||
\(694\) | −5.23416 | + | 29.6844i | −0.198686 | + | 1.12680i | ||||
\(695\) | 31.5327 | + | 54.6162i | 1.19610 | + | 2.07171i | ||||
\(696\) | −0.143548 | + | 0.248633i | −0.00544118 | + | 0.00942440i | ||||
\(697\) | 1.60796 | + | 1.34924i | 0.0609057 | + | 0.0511060i | ||||
\(698\) | 32.9506 | + | 11.9930i | 1.24720 | + | 0.453943i | ||||
\(699\) | −10.4758 | + | 3.81286i | −0.396230 | + | 0.144216i | ||||
\(700\) | −2.93471 | + | 2.46252i | −0.110922 | + | 0.0930743i | ||||
\(701\) | 7.39998 | + | 41.9674i | 0.279493 | + | 1.58509i | 0.724317 | + | 0.689468i | \(0.242155\pi\) |
−0.444823 | + | 0.895618i | \(0.646733\pi\) | |||||||
\(702\) | 27.3298 | 1.03150 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | −4.02967 | −0.151874 | ||||||||
\(705\) | −1.81185 | − | 10.2755i | −0.0682383 | − | 0.386998i | ||||
\(706\) | −10.3731 | + | 8.70403i | −0.390395 | + | 0.327580i | ||||
\(707\) | 0.176822 | − | 0.0643578i | 0.00665006 | − | 0.00242043i | ||||
\(708\) | 4.23473 | + | 1.54132i | 0.159151 | + | 0.0579262i | ||||
\(709\) | −17.3809 | − | 14.5843i | −0.652754 | − | 0.547726i | 0.255151 | − | 0.966901i | \(-0.417875\pi\) |
−0.907905 | + | 0.419176i | \(0.862319\pi\) | |||||||
\(710\) | −21.1933 | + | 36.7079i | −0.795371 | + | 1.37762i | ||||
\(711\) | −6.89310 | − | 11.9392i | −0.258511 | − | 0.447755i | ||||
\(712\) | −1.03507 | + | 5.87019i | −0.0387910 | + | 0.219995i | ||||
\(713\) | 5.56490 | − | 31.5601i | 0.208407 | − | 1.18194i | ||||
\(714\) | 0.0758187 | + | 0.131322i | 0.00283744 | + | 0.00491460i | ||||
\(715\) | −36.4233 | + | 63.0871i | −1.36216 | + | 2.35932i | ||||
\(716\) | 6.73989 | + | 5.65544i | 0.251882 | + | 0.211354i | ||||
\(717\) | 26.3951 | + | 9.60704i | 0.985744 | + | 0.358781i | ||||
\(718\) | −22.0896 | + | 8.03994i | −0.824375 | + | 0.300048i | ||||
\(719\) | −28.9813 | + | 24.3182i | −1.08082 | + | 0.906916i | −0.995989 | − | 0.0894791i | \(-0.971480\pi\) |
−0.0848319 | + | 0.996395i | \(0.527035\pi\) | |||||||
\(720\) | −0.867101 | − | 4.91757i | −0.0323149 | − | 0.183267i | ||||
\(721\) | −2.00709 | −0.0747481 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | −24.3503 | −0.905596 | ||||||||
\(724\) | −2.52272 | − | 14.3070i | −0.0937561 | − | 0.531717i | ||||
\(725\) | 1.48294 | − | 1.24434i | 0.0550751 | − | 0.0462135i | ||||
\(726\) | −6.32069 | + | 2.30054i | −0.234583 | + | 0.0853812i | ||||
\(727\) | 18.3619 | + | 6.68318i | 0.681005 | + | 0.247865i | 0.659279 | − | 0.751899i | \(-0.270862\pi\) |
0.0217258 | + | 0.999764i | \(0.493084\pi\) | |||||||
\(728\) | −1.65795 | − | 1.39119i | −0.0614479 | − | 0.0515609i | ||||
\(729\) | −12.8701 | + | 22.2916i | −0.476670 | + | 0.825616i | ||||
\(730\) | 2.62814 | + | 4.55206i | 0.0972717 | + | 0.168479i | ||||
\(731\) | −0.261167 | + | 1.48115i | −0.00965961 | + | 0.0547824i | ||||
\(732\) | −0.909649 | + | 5.15888i | −0.0336216 | + | 0.190678i | ||||
\(733\) | −17.5550 | − | 30.4062i | −0.648410 | − | 1.12308i | −0.983503 | − | 0.180894i | \(-0.942101\pi\) |
0.335092 | − | 0.942185i | \(-0.391232\pi\) | |||||||
\(734\) | −6.34644 | + | 10.9924i | −0.234251 | + | 0.405735i | ||||
\(735\) | 24.7356 | + | 20.7557i | 0.912388 | + | 0.765584i | ||||
\(736\) | −8.65391 | − | 3.14977i | −0.318987 | − | 0.116102i | ||||
\(737\) | −0.559527 | + | 0.203651i | −0.0206104 | + | 0.00750158i | ||||
\(738\) | 8.14026 | − | 6.83049i | 0.299647 | − | 0.251434i | ||||
\(739\) | −2.82655 | − | 16.0302i | −0.103976 | − | 0.589680i | −0.991624 | − | 0.129157i | \(-0.958773\pi\) |
0.887648 | − | 0.460523i | \(-0.152338\pi\) | |||||||
\(740\) | −5.35520 | −0.196861 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −4.39915 | −0.161498 | ||||||||
\(743\) | −5.78397 | − | 32.8025i | −0.212193 | − | 1.20341i | −0.885711 | − | 0.464237i | \(-0.846329\pi\) |
0.673518 | − | 0.739171i | \(-0.264782\pi\) | |||||||
\(744\) | −3.42300 | + | 2.87224i | −0.125493 | + | 0.105301i | ||||
\(745\) | −47.0422 | + | 17.1220i | −1.72349 | + | 0.627301i | ||||
\(746\) | −2.48972 | − | 0.906183i | −0.0911550 | − | 0.0331777i | ||||
\(747\) | 3.40400 | + | 2.85629i | 0.124546 | + | 0.104506i | ||||
\(748\) | 0.537746 | − | 0.931403i | 0.0196619 | − | 0.0340555i | ||||
\(749\) | 0.701639 | + | 1.21528i | 0.0256373 | + | 0.0444052i | ||||
\(750\) | 3.01470 | − | 17.0972i | 0.110081 | − | 0.624301i | ||||
\(751\) | −3.34445 | + | 18.9673i | −0.122041 | + | 0.692127i | 0.860981 | + | 0.508637i | \(0.169850\pi\) |
−0.983022 | + | 0.183490i | \(0.941261\pi\) | |||||||
\(752\) | −1.09934 | − | 1.90411i | −0.0400888 | − | 0.0694358i | ||||
\(753\) | 1.86368 | − | 3.22800i | 0.0679164 | − | 0.117635i | ||||
\(754\) | 0.837782 | + | 0.702983i | 0.0305102 | + | 0.0256011i | ||||
\(755\) | −31.7875 | − | 11.5697i | −1.15687 | − | 0.421065i | ||||
\(756\) | 2.32305 | − | 0.845520i | 0.0844884 | − | 0.0307513i | ||||
\(757\) | −18.3433 | + | 15.3918i | −0.666697 | + | 0.559425i | −0.912086 | − | 0.409999i | \(-0.865529\pi\) |
0.245389 | + | 0.969425i | \(0.421084\pi\) | |||||||
\(758\) | 3.15470 | + | 17.8912i | 0.114584 | + | 0.649838i | ||||
\(759\) | −47.6528 | −1.72969 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −44.7968 | −1.62388 | −0.811941 | − | 0.583739i | \(-0.801589\pi\) | ||||
−0.811941 | + | 0.583739i | \(0.801589\pi\) | |||||||
\(762\) | −3.13966 | − | 17.8059i | −0.113738 | − | 0.645040i | ||||
\(763\) | −2.29844 | + | 1.92862i | −0.0832090 | + | 0.0698207i | ||||
\(764\) | −11.9624 | + | 4.35397i | −0.432786 | + | 0.157521i | ||||
\(765\) | 1.25234 | + | 0.455815i | 0.0452785 | + | 0.0164800i | ||||
\(766\) | 17.6254 | + | 14.7895i | 0.636831 | + | 0.534365i | ||||
\(767\) | 8.58341 | − | 14.8669i | 0.309929 | − | 0.536813i | ||||
\(768\) | 0.642040 | + | 1.11205i | 0.0231676 | + | 0.0401275i | ||||
\(769\) | −5.51102 | + | 31.2546i | −0.198733 | + | 1.12707i | 0.708269 | + | 0.705942i | \(0.249476\pi\) |
−0.907002 | + | 0.421126i | \(0.861635\pi\) | |||||||
\(770\) | −1.14424 | + | 6.48929i | −0.0412355 | + | 0.233858i | ||||
\(771\) | −14.7059 | − | 25.4714i | −0.529621 | − | 0.917330i | ||||
\(772\) | 8.73903 | − | 15.1364i | 0.314525 | − | 0.544772i | ||||
\(773\) | 17.0297 | + | 14.2896i | 0.612515 | + | 0.513961i | 0.895441 | − | 0.445181i | \(-0.146861\pi\) |
−0.282926 | + | 0.959142i | \(0.591305\pi\) | |||||||
\(774\) | 7.15480 | + | 2.60413i | 0.257174 | + | 0.0936036i | ||||
\(775\) | 28.3127 | − | 10.3050i | 1.01702 | − | 0.370165i | ||||
\(776\) | 3.12911 | − | 2.62563i | 0.112328 | − | 0.0942547i | ||||
\(777\) | −0.142961 | − | 0.810770i | −0.00512868 | − | 0.0290862i | ||||
\(778\) | 16.5706 | 0.594086 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | 23.2130 | 0.831160 | ||||||||
\(781\) | 8.02546 | + | 45.5147i | 0.287174 | + | 1.62864i | ||||
\(782\) | 1.88286 | − | 1.57991i | 0.0673309 | − | 0.0564973i | ||||
\(783\) | −1.17386 | + | 0.427251i | −0.0419504 | + | 0.0152687i | ||||
\(784\) | 6.39388 | + | 2.32718i | 0.228353 | + | 0.0831137i | ||||
\(785\) | −46.4023 | − | 38.9361i | −1.65617 | − | 1.38969i | ||||
\(786\) | −10.1709 | + | 17.6165i | −0.362783 | + | 0.628358i | ||||
\(787\) | 12.2298 | + | 21.1826i | 0.435945 | + | 0.755080i | 0.997372 | − | 0.0724468i | \(-0.0230807\pi\) |
−0.561427 | + | 0.827526i | \(0.689747\pi\) | |||||||
\(788\) | −4.25634 | + | 24.1389i | −0.151626 | + | 0.859913i | ||||
\(789\) | 1.12880 | − | 6.40172i | 0.0401862 | − | 0.227907i | ||||
\(790\) | −18.8544 | − | 32.6568i | −0.670810 | − | 1.16188i | ||||
\(791\) | 2.22213 | − | 3.84884i | 0.0790098 | − | 0.136849i | ||||
\(792\) | −4.17085 | − | 3.49976i | −0.148205 | − | 0.124358i | ||||
\(793\) | 18.7516 | + | 6.82504i | 0.665890 | + | 0.242364i | ||||
\(794\) | −16.7217 | + | 6.08619i | −0.593430 | + | 0.215991i | ||||
\(795\) | 36.1440 | − | 30.3284i | 1.28190 | − | 1.07564i | ||||
\(796\) | 2.85931 | + | 16.2159i | 0.101346 | + | 0.574759i | ||||
\(797\) | −41.6933 | −1.47685 | −0.738426 | − | 0.674334i | \(-0.764431\pi\) | ||||
−0.738426 | + | 0.674334i | \(0.764431\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.586812 | 0.0207599 | ||||||||
\(800\) | −1.50350 | − | 8.52679i | −0.0531569 | − | 0.301468i | ||||
\(801\) | −6.16957 | + | 5.17689i | −0.217991 | + | 0.182916i | ||||
\(802\) | −28.7748 | + | 10.4732i | −1.01607 | + | 0.369820i | ||||
\(803\) | 5.38561 | + | 1.96020i | 0.190054 | + | 0.0691740i | ||||
\(804\) | 0.145349 | + | 0.121962i | 0.00512605 | + | 0.00430127i | ||||
\(805\) | −7.52962 | + | 13.0417i | −0.265384 | + | 0.459659i | ||||
\(806\) | 8.51084 | + | 14.7412i | 0.299781 | + | 0.519237i | ||||
\(807\) | −4.62499 | + | 26.2296i | −0.162808 | + | 0.923327i | ||||
\(808\) | −0.0738486 | + | 0.418817i | −0.00259799 | + | 0.0147339i | ||||
\(809\) | 24.6244 | + | 42.6507i | 0.865748 | + | 1.49952i | 0.866303 | + | 0.499519i | \(0.166490\pi\) |
−0.000555336 | 1.00000i | \(0.500177\pi\) | ||||||||
\(810\) | −5.76716 | + | 9.98901i | −0.202637 | + | 0.350978i | ||||
\(811\) | −39.8692 | − | 33.4542i | −1.40000 | − | 1.17474i | −0.961101 | − | 0.276197i | \(-0.910926\pi\) |
−0.438894 | − | 0.898539i | \(-0.644630\pi\) | |||||||
\(812\) | 0.0929607 | + | 0.0338349i | 0.00326228 | + | 0.00118737i | ||||
\(813\) | 7.59544 | − | 2.76451i | 0.266384 | − | 0.0969557i | ||||
\(814\) | −4.47302 | + | 3.75331i | −0.156779 | + | 0.131553i | ||||
\(815\) | −8.83840 | − | 50.1251i | −0.309596 | − | 1.75580i | ||||
\(816\) | −0.342712 | −0.0119973 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | 9.14328 | 0.319687 | ||||||||
\(819\) | −0.507796 | − | 2.87986i | −0.0177438 | − | 0.100630i | ||||
\(820\) | 22.2657 | − | 18.6831i | 0.777552 | − | 0.652443i | ||||
\(821\) | 39.7098 | − | 14.4532i | 1.38588 | − | 0.504419i | 0.461925 | − | 0.886919i | \(-0.347159\pi\) |
0.923955 | + | 0.382500i | \(0.124937\pi\) | |||||||
\(822\) | −2.66358 | − | 0.969463i | −0.0929030 | − | 0.0338139i | ||||
\(823\) | 24.8789 | + | 20.8759i | 0.867225 | + | 0.727688i | 0.963512 | − | 0.267666i | \(-0.0862523\pi\) |
−0.0962873 | + | 0.995354i | \(0.530697\pi\) | |||||||
\(824\) | 2.26809 | − | 3.92845i | 0.0790127 | − | 0.136854i | ||||
\(825\) | −22.4009 | − | 38.7995i | −0.779899 | − | 1.35083i | ||||
\(826\) | 0.269647 | − | 1.52925i | 0.00938223 | − | 0.0532093i | ||||
\(827\) | 3.73615 | − | 21.1888i | 0.129919 | − | 0.736806i | −0.848345 | − | 0.529443i | \(-0.822401\pi\) |
0.978264 | − | 0.207363i | \(-0.0664880\pi\) | |||||||
\(828\) | −6.22153 | − | 10.7760i | −0.216213 | − | 0.374492i | ||||
\(829\) | 2.82531 | − | 4.89357i | 0.0981269 | − | 0.169961i | −0.812782 | − | 0.582567i | \(-0.802048\pi\) |
0.910909 | + | 0.412607i | \(0.135382\pi\) | |||||||
\(830\) | 9.31081 | + | 7.81270i | 0.323183 | + | 0.271183i | ||||
\(831\) | 8.65894 | + | 3.15160i | 0.300375 | + | 0.109328i | ||||
\(832\) | 4.59650 | − | 1.67299i | 0.159355 | − | 0.0580004i | ||||
\(833\) | −1.39114 | + | 1.16730i | −0.0482000 | + | 0.0404446i | ||||
\(834\) | −3.80499 | − | 21.5792i | −0.131756 | − | 0.747227i | ||||
\(835\) | 38.1871 | 1.32152 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −19.4427 | −0.672037 | ||||||||
\(838\) | −2.19069 | − | 12.4240i | −0.0756760 | − | 0.429180i | ||||
\(839\) | 8.17877 | − | 6.86280i | 0.282362 | − | 0.236930i | −0.490596 | − | 0.871387i | \(-0.663221\pi\) |
0.772958 | + | 0.634457i | \(0.218776\pi\) | |||||||
\(840\) | 1.97312 | − | 0.718157i | 0.0680792 | − | 0.0247788i | ||||
\(841\) | 27.2041 | + | 9.90149i | 0.938073 | + | 0.341431i | ||||
\(842\) | 25.4751 | + | 21.3761i | 0.877929 | + | 0.736670i | ||||
\(843\) | −1.78096 | + | 3.08471i | −0.0613395 | + | 0.106243i | ||||
\(844\) | 13.7402 | + | 23.7988i | 0.472958 | + | 0.819187i | ||||
\(845\) | 7.01225 | − | 39.7685i | 0.241229 | − | 1.36808i | ||||
\(846\) | 0.515861 | − | 2.92559i | 0.0177357 | − | 0.100584i | ||||
\(847\) | 1.15887 | + | 2.00722i | 0.0398192 | + | 0.0689689i | ||||
\(848\) | 4.97120 | − | 8.61038i | 0.170712 | − | 0.295682i | ||||
\(849\) | −7.62201 | − | 6.39563i | −0.261587 | − | 0.219497i | ||||
\(850\) | 2.17149 | + | 0.790356i | 0.0744813 | + | 0.0271090i | ||||
\(851\) | −12.5398 | + | 4.56410i | −0.429857 | + | 0.156455i | ||||
\(852\) | 11.2817 | − | 9.46650i | 0.386506 | − | 0.324317i | ||||
\(853\) | 1.78277 | + | 10.1106i | 0.0610410 | + | 0.346181i | 0.999998 | + | 0.00214528i | \(0.000682864\pi\) |
−0.938957 | + | 0.344035i | \(0.888206\pi\) | |||||||
\(854\) | 1.80505 | 0.0617676 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −3.17151 | −0.108400 | ||||||||
\(857\) | 6.48380 | + | 36.7715i | 0.221483 | + | 1.25609i | 0.869296 | + | 0.494291i | \(0.164572\pi\) |
−0.647814 | + | 0.761799i | \(0.724317\pi\) | |||||||
\(858\) | 19.3891 | − | 16.2694i | 0.661932 | − | 0.555427i | ||||
\(859\) | 22.8242 | − | 8.30732i | 0.778751 | − | 0.283442i | 0.0780991 | − | 0.996946i | \(-0.475115\pi\) |
0.700652 | + | 0.713503i | \(0.252893\pi\) | |||||||
\(860\) | 19.5702 | + | 7.12297i | 0.667339 | + | 0.242891i | ||||
\(861\) | 3.42300 | + | 2.87224i | 0.116655 | + | 0.0978855i | ||||
\(862\) | 11.4957 | − | 19.9112i | 0.391546 | − | 0.678178i | ||||
\(863\) | −11.7864 | − | 20.4146i | −0.401214 | − | 0.694922i | 0.592659 | − | 0.805453i | \(-0.298078\pi\) |
−0.993873 | + | 0.110531i | \(0.964745\pi\) | |||||||
\(864\) | −0.970209 | + | 5.50233i | −0.0330072 | + | 0.187193i | ||||
\(865\) | 6.29690 | − | 35.7115i | 0.214101 | − | 1.21423i | ||||
\(866\) | −17.3546 | − | 30.0591i | −0.589734 | − | 1.02145i | ||||
\(867\) | −10.8689 | + | 18.8256i | −0.369128 | + | 0.639349i | ||||
\(868\) | 1.17948 | + | 0.989705i | 0.0400343 | + | 0.0335928i | ||||
\(869\) | −38.6367 | − | 14.0626i | −1.31066 | − | 0.477041i | ||||
\(870\) | −0.997039 | + | 0.362893i | −0.0338028 | + | 0.0123032i | ||||
\(871\) | 0.553682 | − | 0.464595i | 0.0187608 | − | 0.0157422i | ||||
\(872\) | −1.17753 | − | 6.67810i | −0.0398762 | − | 0.226149i | ||||
\(873\) | 5.51908 | 0.186793 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −5.98217 | −0.202234 | ||||||||
\(876\) | −0.317133 | − | 1.79855i | −0.0107149 | − | 0.0607673i | ||||
\(877\) | 24.0830 | − | 20.2081i | 0.813227 | − | 0.682378i | −0.138149 | − | 0.990411i | \(-0.544115\pi\) |
0.951376 | + | 0.308033i | \(0.0996708\pi\) | |||||||
\(878\) | 34.2817 | − | 12.4775i | 1.15695 | − | 0.421096i | ||||
\(879\) | 0.944642 | + | 0.343822i | 0.0318620 | + | 0.0115968i | ||||
\(880\) | −11.4083 | − | 9.57273i | −0.384575 | − | 0.322697i | ||||
\(881\) | 20.8800 | − | 36.1653i | 0.703466 | − | 1.21844i | −0.263776 | − | 0.964584i | \(-0.584968\pi\) |
0.967242 | − | 0.253855i | \(-0.0816985\pi\) | |||||||
\(882\) | 4.59673 | + | 7.96178i | 0.154780 | + | 0.268087i | ||||
\(883\) | 0.0942980 | − | 0.534790i | 0.00317338 | − | 0.0179971i | −0.983180 | − | 0.182639i | \(-0.941536\pi\) |
0.986353 | + | 0.164642i | \(0.0526470\pi\) | |||||||
\(884\) | −0.226699 | + | 1.28567i | −0.00762470 | + | 0.0432418i | ||||
\(885\) | 8.32739 | + | 14.4235i | 0.279922 | + | 0.484839i | ||||
\(886\) | 5.87915 | − | 10.1830i | 0.197514 | − | 0.342104i | ||||
\(887\) | −8.67530 | − | 7.27944i | −0.291288 | − | 0.244420i | 0.485419 | − | 0.874282i | \(-0.338667\pi\) |
−0.776707 | + | 0.629862i | \(0.783111\pi\) | |||||||
\(888\) | 1.74845 | + | 0.636385i | 0.0586743 | + | 0.0213557i | ||||
\(889\) | −5.85442 | + | 2.13084i | −0.196351 | + | 0.0714659i | ||||
\(890\) | −16.8754 | + | 14.1601i | −0.565664 | + | 0.474648i | ||||
\(891\) | 2.18390 | + | 12.3855i | 0.0731635 | + | 0.414931i | ||||
\(892\) | −20.3706 | −0.682058 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | 17.3938 | 0.581737 | ||||||||
\(895\) | 5.64635 | + | 32.0221i | 0.188737 | + | 1.07038i | ||||
\(896\) | 0.338947 | − | 0.284410i | 0.0113234 | − | 0.00950147i | ||||
\(897\) | 54.3558 | − | 19.7839i | 1.81489 | − | 0.660564i | ||||
\(898\) | 8.16689 | + | 2.97250i | 0.272532 | + | 0.0991937i | ||||
\(899\) | −0.596006 | − | 0.500109i | −0.0198779 | − | 0.0166796i | ||||
\(900\) | 5.84931 | − | 10.1313i | 0.194977 | − | 0.337710i | ||||
\(901\) | 1.32678 | + | 2.29805i | 0.0442014 | + | 0.0765591i | ||||
\(902\) | 5.50330 | − | 31.2108i | 0.183240 | − | 1.03921i | ||||
\(903\) | −0.555969 | + | 3.15305i | −0.0185015 | + | 0.104927i | ||||
\(904\) | 5.02218 | + | 8.69866i | 0.167035 | + | 0.289313i | ||||
\(905\) | 26.8452 | − | 46.4973i | 0.892366 | − | 1.54562i | ||||
\(906\) | 9.00363 | + | 7.55494i | 0.299125 | + | 0.250996i | ||||
\(907\) | 10.2669 | + | 3.73686i | 0.340908 | + | 0.124080i | 0.506800 | − | 0.862064i | \(-0.330828\pi\) |
−0.165892 | + | 0.986144i | \(0.553050\pi\) | |||||||
\(908\) | −20.8136 | + | 7.57552i | −0.690722 | + | 0.251402i | ||||
\(909\) | −0.440177 | + | 0.369352i | −0.0145997 | + | 0.0122506i | ||||
\(910\) | −1.38895 | − | 7.87715i | −0.0460434 | − | 0.261125i | ||||
\(911\) | −47.4159 | −1.57096 | −0.785479 | − | 0.618888i | \(-0.787584\pi\) | ||||
−0.785479 | + | 0.618888i | \(0.787584\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 13.2527 | 0.438600 | ||||||||
\(914\) | 2.26240 | + | 12.8307i | 0.0748335 | + | 0.424402i | ||||
\(915\) | −14.8305 | + | 12.4443i | −0.490282 | + | 0.411396i | ||||
\(916\) | −11.9480 | + | 4.34871i | −0.394772 | + | 0.143685i | ||||
\(917\) | 6.58657 | + | 2.39732i | 0.217508 | + | 0.0791664i | ||||
\(918\) | −1.14232 | − | 0.958516i | −0.0377020 | − | 0.0316358i | ||||
\(919\) | −2.55534 | + | 4.42599i | −0.0842930 | + | 0.146000i | −0.905090 | − | 0.425221i | \(-0.860197\pi\) |
0.820797 | + | 0.571220i | \(0.193530\pi\) | |||||||
\(920\) | −17.0175 | − | 29.4752i | −0.561050 | − | 0.971767i | ||||
\(921\) | −6.28102 | + | 35.6214i | −0.206967 | + | 1.17377i | ||||
\(922\) | −1.57023 | + | 8.90522i | −0.0517128 | + | 0.293278i | ||||
\(923\) | −28.0505 | − | 48.5850i | −0.923295 | − | 1.59919i | ||||
\(924\) | 1.14475 | − | 1.98276i | 0.0376594 | − | 0.0652279i | ||||
\(925\) | −9.61092 | − | 8.06452i | −0.316005 | − | 0.265160i | ||||
\(926\) | −16.6518 | − | 6.06077i | −0.547213 | − | 0.199169i | ||||
\(927\) | 5.75939 | − | 2.09625i | 0.189163 | − | 0.0688498i | ||||
\(928\) | −0.171273 | + | 0.143715i | −0.00562233 | + | 0.00471769i | ||||
\(929\) | −7.43982 | − | 42.1933i | −0.244093 | − | 1.38432i | −0.822591 | − | 0.568634i | \(-0.807472\pi\) |
0.578498 | − | 0.815684i | \(-0.303639\pi\) | |||||||
\(930\) | −16.5140 | −0.541514 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | −8.68176 | −0.284381 | ||||||||
\(933\) | −0.862539 | − | 4.89170i | −0.0282383 | − | 0.160147i | ||||
\(934\) | 6.03468 | − | 5.06370i | 0.197461 | − | 0.165689i | ||||
\(935\) | 3.73501 | − | 1.35943i | 0.122148 | − | 0.0444582i | ||||
\(936\) | 6.21052 | + | 2.26044i | 0.202997 | + | 0.0738849i | ||||
\(937\) | −2.81816 | − | 2.36472i | −0.0920653 | − | 0.0772519i | 0.595593 | − | 0.803286i | \(-0.296917\pi\) |
−0.687659 | + | 0.726034i | \(0.741361\pi\) | |||||||
\(938\) | 0.0326898 | − | 0.0566205i | 0.00106736 | − | 0.00184872i | ||||
\(939\) | 19.5102 | + | 33.7926i | 0.636690 | + | 1.10278i | ||||
\(940\) | 1.41101 | − | 8.00225i | 0.0460221 | − | 0.261005i | ||||
\(941\) | −3.19156 | + | 18.1003i | −0.104042 | + | 0.590051i | 0.887557 | + | 0.460699i | \(0.152401\pi\) |
−0.991599 | + | 0.129353i | \(0.958710\pi\) | |||||||
\(942\) | 10.5232 | + | 18.2267i | 0.342865 | + | 0.593859i | ||||
\(943\) | 36.2143 | − | 62.7250i | 1.17930 | − | 2.04261i | ||||
\(944\) | 2.68845 | + | 2.25588i | 0.0875017 | + | 0.0734226i | ||||
\(945\) | 8.58533 | + | 3.12480i | 0.279281 | + | 0.101650i | ||||
\(946\) | 21.3386 | − | 7.76662i | 0.693779 | − | 0.252515i | ||||
\(947\) | 35.8195 | − | 30.0561i | 1.16398 | − | 0.976692i | 0.164024 | − | 0.986456i | \(-0.447552\pi\) |
0.999952 | + | 0.00976396i | \(0.00310801\pi\) | |||||||
\(948\) | 2.27513 | + | 12.9029i | 0.0738927 | + | 0.419067i | ||||
\(949\) | −6.95697 | −0.225833 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 6.84162 | 0.221855 | ||||||||
\(952\) | 0.0205062 | + | 0.116296i | 0.000664609 | + | 0.00376919i | ||||
\(953\) | −19.1933 | + | 16.1051i | −0.621732 | + | 0.521695i | −0.898347 | − | 0.439286i | \(-0.855232\pi\) |
0.276616 | + | 0.960981i | \(0.410787\pi\) | |||||||
\(954\) | 12.6234 | − | 4.59456i | 0.408699 | − | 0.148754i | ||||
\(955\) | −44.2098 | − | 16.0910i | −1.43060 | − | 0.520694i | ||||
\(956\) | 16.7571 | + | 14.0609i | 0.541965 | + | 0.454763i | ||||
\(957\) | −0.578452 | + | 1.00191i | −0.0186987 | + | 0.0323871i | ||||
\(958\) | −15.0899 | − | 26.1365i | −0.487533 | − | 0.844432i | ||||
\(959\) | −0.169604 | + | 0.961871i | −0.00547679 | + | 0.0310604i | ||||
\(960\) | −0.824064 | + | 4.67350i | −0.0265965 | + | 0.150836i | ||||
\(961\) | 9.44531 | + | 16.3598i | 0.304687 | + | 0.527734i | ||||
\(962\) | 3.54395 | − | 6.13831i | 0.114262 | − | 0.197907i | ||||
\(963\) | −3.28262 | − | 2.75445i | −0.105781 | − | 0.0887609i | ||||
\(964\) | −17.8196 | − | 6.48580i | −0.573930 | − | 0.208894i | ||||
\(965\) | 60.6985 | − | 22.0924i | 1.95395 | − | 0.711181i | ||||
\(966\) | 4.00820 | − | 3.36328i | 0.128962 | − | 0.108212i | ||||
\(967\) | 1.23399 | + | 6.99831i | 0.0396825 | + | 0.225051i | 0.998199 | − | 0.0599856i | \(-0.0191055\pi\) |
−0.958517 | + | 0.285036i | \(0.907994\pi\) | |||||||
\(968\) | −5.23826 | −0.168364 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 15.0961 | 0.484707 | ||||||||
\(971\) | −10.5499 | − | 59.8313i | −0.338561 | − | 1.92008i | −0.388764 | − | 0.921338i | \(-0.627098\pi\) |
0.0502023 | − | 0.998739i | \(-0.484013\pi\) | |||||||
\(972\) | −9.77015 | + | 8.19813i | −0.313378 | + | 0.262955i | ||||
\(973\) | −7.09505 | + | 2.58239i | −0.227457 | + | 0.0827875i | ||||
\(974\) | −33.6128 | − | 12.2340i | −1.07702 | − | 0.392004i | ||||
\(975\) | 41.6602 | + | 34.9570i | 1.33419 | + | 1.11952i | ||||
\(976\) | −2.03977 | + | 3.53299i | −0.0652916 | + | 0.113088i | ||||
\(977\) | −19.2706 | − | 33.3776i | −0.616520 | − | 1.06784i | −0.990116 | − | 0.140253i | \(-0.955208\pi\) |
0.373595 | − | 0.927592i | \(-0.378125\pi\) | |||||||
\(978\) | −3.07091 | + | 17.4160i | −0.0981968 | + | 0.556902i | ||||
\(979\) | −4.17100 | + | 23.6549i | −0.133306 | + | 0.756015i | ||||
\(980\) | 12.5732 | + | 21.7775i | 0.401638 | + | 0.695657i | ||||
\(981\) | 4.58112 | − | 7.93474i | 0.146264 | − | 0.253337i | ||||
\(982\) | 13.9976 | + | 11.7454i | 0.446683 | + | 0.374811i | ||||
\(983\) | −7.05266 | − | 2.56696i | −0.224945 | − | 0.0818733i | 0.227089 | − | 0.973874i | \(-0.427079\pi\) |
−0.452034 | + | 0.892001i | \(0.649301\pi\) | |||||||
\(984\) | −9.48989 | + | 3.45404i | −0.302527 | + | 0.110111i | ||||
\(985\) | −69.3935 | + | 58.2280i | −2.21106 | + | 1.85530i | ||||
\(986\) | −0.0103620 | − | 0.0587658i | −0.000329993 | − | 0.00187148i | ||||
\(987\) | 1.24920 | 0.0397624 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 51.8964 | 1.65021 | ||||||||
\(990\) | −3.49413 | − | 19.8162i | −0.111051 | − | 0.629801i | ||||
\(991\) | 16.4103 | − | 13.7699i | 0.521290 | − | 0.437415i | −0.343791 | − | 0.939046i | \(-0.611711\pi\) |
0.865081 | + | 0.501632i | \(0.167267\pi\) | |||||||
\(992\) | −3.26999 | + | 1.19018i | −0.103822 | + | 0.0377882i | ||||
\(993\) | 24.7941 | + | 9.02430i | 0.786816 | + | 0.286377i | ||||
\(994\) | −3.88742 | − | 3.26193i | −0.123301 | − | 0.103462i | ||||
\(995\) | −30.4270 | + | 52.7012i | −0.964602 | + | 1.67074i | ||||
\(996\) | −2.11153 | − | 3.65727i | −0.0669063 | − | 0.115885i | ||||
\(997\) | −7.11967 | + | 40.3776i | −0.225482 | + | 1.27877i | 0.636279 | + | 0.771459i | \(0.280473\pi\) |
−0.861761 | + | 0.507314i | \(0.830638\pi\) | |||||||
\(998\) | −3.07322 | + | 17.4291i | −0.0972811 | + | 0.551709i | ||||
\(999\) | 4.04801 | + | 7.01136i | 0.128073 | + | 0.221830i |
(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 | 722.2.e.s.389.2 | 24 | ||
19.2 | odd | 18 | 722.2.e.r.245.3 | 24 | |||
19.3 | odd | 18 | 722.2.e.r.423.3 | 24 | |||
19.4 | even | 9 | 722.2.c.n.429.3 | 8 | |||
19.5 | even | 9 | inner | 722.2.e.s.415.3 | 24 | ||
19.6 | even | 9 | 722.2.a.m.1.2 | ✓ | 4 | ||
19.7 | even | 3 | inner | 722.2.e.s.99.2 | 24 | ||
19.8 | odd | 6 | 722.2.e.r.595.2 | 24 | |||
19.9 | even | 9 | 722.2.c.n.653.3 | 8 | |||
19.10 | odd | 18 | 722.2.c.m.653.2 | 8 | |||
19.11 | even | 3 | inner | 722.2.e.s.595.3 | 24 | ||
19.12 | odd | 6 | 722.2.e.r.99.3 | 24 | |||
19.13 | odd | 18 | 722.2.a.n.1.3 | yes | 4 | ||
19.14 | odd | 18 | 722.2.e.r.415.2 | 24 | |||
19.15 | odd | 18 | 722.2.c.m.429.2 | 8 | |||
19.16 | even | 9 | inner | 722.2.e.s.423.2 | 24 | ||
19.17 | even | 9 | inner | 722.2.e.s.245.2 | 24 | ||
19.18 | odd | 2 | 722.2.e.r.389.3 | 24 | |||
57.32 | even | 18 | 6498.2.a.bx.1.1 | 4 | |||
57.44 | odd | 18 | 6498.2.a.ca.1.1 | 4 | |||
76.51 | even | 18 | 5776.2.a.bt.1.2 | 4 | |||
76.63 | odd | 18 | 5776.2.a.bv.1.3 | 4 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
722.2.a.m.1.2 | ✓ | 4 | 19.6 | even | 9 | ||
722.2.a.n.1.3 | yes | 4 | 19.13 | odd | 18 | ||
722.2.c.m.429.2 | 8 | 19.15 | odd | 18 | |||
722.2.c.m.653.2 | 8 | 19.10 | odd | 18 | |||
722.2.c.n.429.3 | 8 | 19.4 | even | 9 | |||
722.2.c.n.653.3 | 8 | 19.9 | even | 9 | |||
722.2.e.r.99.3 | 24 | 19.12 | odd | 6 | |||
722.2.e.r.245.3 | 24 | 19.2 | odd | 18 | |||
722.2.e.r.389.3 | 24 | 19.18 | odd | 2 | |||
722.2.e.r.415.2 | 24 | 19.14 | odd | 18 | |||
722.2.e.r.423.3 | 24 | 19.3 | odd | 18 | |||
722.2.e.r.595.2 | 24 | 19.8 | odd | 6 | |||
722.2.e.s.99.2 | 24 | 19.7 | even | 3 | inner | ||
722.2.e.s.245.2 | 24 | 19.17 | even | 9 | inner | ||
722.2.e.s.389.2 | 24 | 1.1 | even | 1 | trivial | ||
722.2.e.s.415.3 | 24 | 19.5 | even | 9 | inner | ||
722.2.e.s.423.2 | 24 | 19.16 | even | 9 | inner | ||
722.2.e.s.595.3 | 24 | 19.11 | even | 3 | inner | ||
5776.2.a.bt.1.2 | 4 | 76.51 | even | 18 | |||
5776.2.a.bv.1.3 | 4 | 76.63 | odd | 18 | |||
6498.2.a.bx.1.1 | 4 | 57.32 | even | 18 | |||
6498.2.a.ca.1.1 | 4 | 57.44 | odd | 18 |