Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [252,2,Mod(95,252)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(252, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 5, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("252.95");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 252 = 2^{2} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 252.o (of order \(6\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.01223013094\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 95.14 | ||
Character | \(\chi\) | \(=\) | 252.95 |
Dual form | 252.2.o.a.191.14 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/252\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.834187 | + | 1.14199i | −0.589859 | + | 0.807506i | ||||
\(3\) | −1.27532 | + | 1.17199i | −0.736306 | + | 0.676649i | ||||
\(4\) | −0.608265 | − | 1.90526i | −0.304132 | − | 0.952630i | ||||
\(5\) | − | 1.08703i | − | 0.486132i | −0.970010 | − | 0.243066i | \(-0.921847\pi\) | ||
0.970010 | − | 0.243066i | \(-0.0781532\pi\) | |||||||
\(6\) | −0.274541 | − | 2.43406i | −0.112081 | − | 0.993699i | ||||
\(7\) | 2.19009 | − | 1.48443i | 0.827775 | − | 0.561061i | ||||
\(8\) | 2.68319 | + | 0.894712i | 0.948650 | + | 0.316329i | ||||
\(9\) | 0.252880 | − | 2.98932i | 0.0842933 | − | 0.996441i | ||||
\(10\) | 1.24137 | + | 0.906782i | 0.392555 | + | 0.286750i | ||||
\(11\) | −1.50375 | −0.453397 | −0.226699 | − | 0.973965i | \(-0.572793\pi\) | ||||
−0.226699 | + | 0.973965i | \(0.572793\pi\) | |||||||
\(12\) | 3.00868 | + | 1.71693i | 0.868530 | + | 0.495636i | ||||
\(13\) | 1.59238 | − | 2.75809i | 0.441647 | − | 0.764955i | −0.556165 | − | 0.831072i | \(-0.687728\pi\) |
0.997812 | + | 0.0661167i | \(0.0210610\pi\) | |||||||
\(14\) | −0.131745 | + | 3.73934i | −0.0352102 | + | 0.999380i | ||||
\(15\) | 1.27398 | + | 1.38630i | 0.328941 | + | 0.357942i | ||||
\(16\) | −3.26003 | + | 2.31780i | −0.815007 | + | 0.579451i | ||||
\(17\) | 5.40337 | + | 3.11964i | 1.31051 | + | 0.756624i | 0.982181 | − | 0.187939i | \(-0.0601808\pi\) |
0.328330 | + | 0.944563i | \(0.393514\pi\) | |||||||
\(18\) | 3.20282 | + | 2.78244i | 0.754911 | + | 0.655827i | ||||
\(19\) | 2.29977 | − | 1.32777i | 0.527604 | − | 0.304612i | −0.212436 | − | 0.977175i | \(-0.568140\pi\) |
0.740040 | + | 0.672563i | \(0.234806\pi\) | |||||||
\(20\) | −2.07106 | + | 0.661199i | −0.463104 | + | 0.147849i | ||||
\(21\) | −1.05332 | + | 4.45988i | −0.229854 | + | 0.973225i | ||||
\(22\) | 1.25441 | − | 1.71726i | 0.267440 | − | 0.366121i | ||||
\(23\) | −3.25157 | −0.678000 | −0.339000 | − | 0.940786i | \(-0.610089\pi\) | ||||
−0.339000 | + | 0.940786i | \(0.610089\pi\) | |||||||
\(24\) | −4.47051 | + | 2.00362i | −0.912540 | + | 0.408988i | ||||
\(25\) | 3.81838 | 0.763675 | ||||||||
\(26\) | 1.82135 | + | 4.11924i | 0.357197 | + | 0.807849i | ||||
\(27\) | 3.18095 | + | 4.10871i | 0.612175 | + | 0.790722i | ||||
\(28\) | −4.16037 | − | 3.26976i | −0.786236 | − | 0.617926i | ||||
\(29\) | −1.78455 | + | 1.03031i | −0.331382 | + | 0.191324i | −0.656455 | − | 0.754365i | \(-0.727945\pi\) |
0.325072 | + | 0.945689i | \(0.394611\pi\) | |||||||
\(30\) | −2.64588 | + | 0.298433i | −0.483069 | + | 0.0544862i | ||||
\(31\) | 0.708761 | − | 0.409204i | 0.127297 | − | 0.0734951i | −0.434999 | − | 0.900431i | \(-0.643251\pi\) |
0.562296 | + | 0.826936i | \(0.309918\pi\) | |||||||
\(32\) | 0.0725710 | − | 5.65639i | 0.0128289 | − | 0.999918i | ||||
\(33\) | 1.91776 | − | 1.76238i | 0.333839 | − | 0.306791i | ||||
\(34\) | −8.07001 | + | 3.56822i | −1.38400 | + | 0.611944i | ||||
\(35\) | −1.61361 | − | 2.38068i | −0.272750 | − | 0.402408i | ||||
\(36\) | −5.84925 | + | 1.33650i | −0.974876 | + | 0.222750i | ||||
\(37\) | −4.35941 | − | 7.55073i | −0.716683 | − | 1.24133i | −0.962307 | − | 0.271967i | \(-0.912326\pi\) |
0.245623 | − | 0.969365i | \(-0.421007\pi\) | |||||||
\(38\) | −0.402140 | + | 3.73392i | −0.0652357 | + | 0.605722i | ||||
\(39\) | 1.20165 | + | 5.38370i | 0.192419 | + | 0.862081i | ||||
\(40\) | 0.972575 | − | 2.91669i | 0.153778 | − | 0.461169i | ||||
\(41\) | 6.57171 | + | 3.79418i | 1.02633 | + | 0.592552i | 0.915931 | − | 0.401336i | \(-0.131454\pi\) |
0.110398 | + | 0.993887i | \(0.464787\pi\) | |||||||
\(42\) | −4.21445 | − | 4.92325i | −0.650304 | − | 0.759674i | ||||
\(43\) | 3.95088 | − | 2.28104i | 0.602504 | − | 0.347856i | −0.167522 | − | 0.985868i | \(-0.553577\pi\) |
0.770026 | + | 0.638012i | \(0.220243\pi\) | |||||||
\(44\) | 0.914677 | + | 2.86503i | 0.137893 | + | 0.431920i | ||||
\(45\) | −3.24947 | − | 0.274887i | −0.484402 | − | 0.0409777i | ||||
\(46\) | 2.71242 | − | 3.71325i | 0.399925 | − | 0.547489i | ||||
\(47\) | 6.81076 | − | 11.7966i | 0.993451 | − | 1.72071i | 0.397775 | − | 0.917483i | \(-0.369783\pi\) |
0.595676 | − | 0.803225i | \(-0.296884\pi\) | |||||||
\(48\) | 1.44113 | − | 6.77666i | 0.208010 | − | 0.978127i | ||||
\(49\) | 2.59295 | − | 6.50205i | 0.370421 | − | 0.928864i | ||||
\(50\) | −3.18524 | + | 4.36053i | −0.450461 | + | 0.616673i | ||||
\(51\) | −10.5472 | + | 2.35416i | −1.47691 | + | 0.329649i | ||||
\(52\) | −6.22346 | − | 1.35625i | −0.863039 | − | 0.188079i | ||||
\(53\) | −0.686610 | − | 0.396415i | −0.0943132 | − | 0.0544517i | 0.452102 | − | 0.891966i | \(-0.350674\pi\) |
−0.546415 | + | 0.837515i | \(0.684008\pi\) | |||||||
\(54\) | −7.34560 | + | 0.205170i | −0.999610 | + | 0.0279201i | ||||
\(55\) | 1.63461i | 0.220411i | ||||||||
\(56\) | 7.20454 | − | 2.02350i | 0.962748 | − | 0.270402i | ||||
\(57\) | −1.37681 | + | 4.38864i | −0.182362 | + | 0.581290i | ||||
\(58\) | 0.312047 | − | 2.89740i | 0.0409738 | − | 0.380447i | ||||
\(59\) | −1.19637 | − | 2.07217i | −0.155754 | − | 0.269773i | 0.777579 | − | 0.628785i | \(-0.216447\pi\) |
−0.933333 | + | 0.359011i | \(0.883114\pi\) | |||||||
\(60\) | 1.86635 | − | 3.27051i | 0.240945 | − | 0.422221i | ||||
\(61\) | −2.36293 | + | 4.09272i | −0.302542 | + | 0.524019i | −0.976711 | − | 0.214559i | \(-0.931169\pi\) |
0.674169 | + | 0.738577i | \(0.264502\pi\) | |||||||
\(62\) | −0.123935 | + | 1.15075i | −0.0157397 | + | 0.146145i | ||||
\(63\) | −3.88361 | − | 6.92225i | −0.489288 | − | 0.872122i | ||||
\(64\) | 6.39898 | + | 4.80136i | 0.799872 | + | 0.600170i | ||||
\(65\) | −2.99811 | − | 1.73096i | −0.371870 | − | 0.214699i | ||||
\(66\) | 0.412841 | + | 3.66021i | 0.0508172 | + | 0.450540i | ||||
\(67\) | −7.96329 | + | 4.59761i | −0.972870 | + | 0.561687i | −0.900110 | − | 0.435663i | \(-0.856514\pi\) |
−0.0727602 | + | 0.997349i | \(0.523181\pi\) | |||||||
\(68\) | 2.65704 | − | 12.1924i | 0.322213 | − | 1.47855i | ||||
\(69\) | 4.14680 | − | 3.81081i | 0.499216 | − | 0.458768i | ||||
\(70\) | 4.06475 | + | 0.143210i | 0.485831 | + | 0.0171168i | ||||
\(71\) | −12.1795 | −1.44545 | −0.722723 | − | 0.691138i | \(-0.757110\pi\) | ||||
−0.722723 | + | 0.691138i | \(0.757110\pi\) | |||||||
\(72\) | 3.35311 | − | 7.79466i | 0.395168 | − | 0.918609i | ||||
\(73\) | −4.02960 | + | 6.97947i | −0.471629 | + | 0.816886i | −0.999473 | − | 0.0324557i | \(-0.989667\pi\) |
0.527844 | + | 0.849341i | \(0.323001\pi\) | |||||||
\(74\) | 12.2594 | + | 1.32033i | 1.42513 | + | 0.153485i | ||||
\(75\) | −4.86965 | + | 4.47510i | −0.562299 | + | 0.516740i | ||||
\(76\) | −3.92862 | − | 3.57402i | −0.450644 | − | 0.409969i | ||||
\(77\) | −3.29334 | + | 2.23221i | −0.375311 | + | 0.254383i | ||||
\(78\) | −7.15051 | − | 3.11874i | −0.809636 | − | 0.353127i | ||||
\(79\) | 12.4962 | + | 7.21470i | 1.40593 | + | 0.811717i | 0.994993 | − | 0.0999448i | \(-0.0318666\pi\) |
0.410942 | + | 0.911662i | \(0.365200\pi\) | |||||||
\(80\) | 2.51951 | + | 3.54373i | 0.281690 | + | 0.396201i | ||||
\(81\) | −8.87210 | − | 1.51188i | −0.985789 | − | 0.167987i | ||||
\(82\) | −9.81494 | + | 4.33975i | −1.08388 | + | 0.479245i | ||||
\(83\) | −2.40508 | − | 4.16573i | −0.263992 | − | 0.457248i | 0.703307 | − | 0.710886i | \(-0.251706\pi\) |
−0.967299 | + | 0.253638i | \(0.918373\pi\) | |||||||
\(84\) | 9.13792 | − | 0.705929i | 0.997029 | − | 0.0770232i | ||||
\(85\) | 3.39113 | − | 5.87360i | 0.367819 | − | 0.637082i | ||||
\(86\) | −0.690854 | + | 6.41467i | −0.0744967 | + | 0.691712i | ||||
\(87\) | 1.06836 | − | 3.40545i | 0.114540 | − | 0.365102i | ||||
\(88\) | −4.03484 | − | 1.34542i | −0.430115 | − | 0.143422i | ||||
\(89\) | −5.90946 | + | 3.41183i | −0.626401 | + | 0.361653i | −0.779357 | − | 0.626580i | \(-0.784454\pi\) |
0.152956 | + | 0.988233i | \(0.451121\pi\) | |||||||
\(90\) | 3.02458 | − | 3.48154i | 0.318819 | − | 0.366987i | ||||
\(91\) | −0.606727 | − | 8.40422i | −0.0636023 | − | 0.881002i | ||||
\(92\) | 1.97782 | + | 6.19509i | 0.206202 | + | 0.645883i | ||||
\(93\) | −0.424315 | + | 1.35253i | −0.0439994 | + | 0.140250i | ||||
\(94\) | 7.79008 | + | 17.6183i | 0.803486 | + | 1.81719i | ||||
\(95\) | −1.44332 | − | 2.49991i | −0.148082 | − | 0.256485i | ||||
\(96\) | 6.53668 | + | 7.29876i | 0.667147 | + | 0.744926i | ||||
\(97\) | 6.69603 | + | 11.5979i | 0.679879 | + | 1.17758i | 0.975017 | + | 0.222130i | \(0.0713008\pi\) |
−0.295139 | + | 0.955454i | \(0.595366\pi\) | |||||||
\(98\) | 5.26224 | + | 8.38503i | 0.531567 | + | 0.847016i | ||||
\(99\) | −0.380268 | + | 4.49519i | −0.0382183 | + | 0.451784i | ||||
\(100\) | −2.32258 | − | 7.27500i | −0.232258 | − | 0.727500i | ||||
\(101\) | 2.06177i | 0.205154i | 0.994725 | + | 0.102577i | \(0.0327088\pi\) | ||||
−0.994725 | + | 0.102577i | \(0.967291\pi\) | |||||||
\(102\) | 6.10993 | − | 14.0086i | 0.604973 | − | 1.38706i | ||||
\(103\) | − | 2.92865i | − | 0.288568i | −0.989536 | − | 0.144284i | \(-0.953912\pi\) | ||
0.989536 | − | 0.144284i | \(-0.0460879\pi\) | |||||||
\(104\) | 6.74035 | − | 5.97574i | 0.660946 | − | 0.585969i | ||||
\(105\) | 4.84800 | + | 1.14499i | 0.473116 | + | 0.111740i | ||||
\(106\) | 1.02546 | − | 0.453416i | 0.0996016 | − | 0.0440396i | ||||
\(107\) | 5.47882 | + | 9.48960i | 0.529658 | + | 0.917394i | 0.999402 | + | 0.0345915i | \(0.0110130\pi\) |
−0.469744 | + | 0.882803i | \(0.655654\pi\) | |||||||
\(108\) | 5.89331 | − | 8.55973i | 0.567084 | − | 0.823660i | ||||
\(109\) | −7.27816 | + | 12.6061i | −0.697122 | + | 1.20745i | 0.272339 | + | 0.962201i | \(0.412203\pi\) |
−0.969460 | + | 0.245248i | \(0.921130\pi\) | |||||||
\(110\) | −1.86670 | − | 1.36357i | −0.177983 | − | 0.130011i | ||||
\(111\) | 14.4090 | + | 4.52040i | 1.36764 | + | 0.429057i | ||||
\(112\) | −3.69913 | + | 9.91547i | −0.349535 | + | 0.936923i | ||||
\(113\) | −13.0910 | − | 7.55811i | −1.23150 | − | 0.711008i | −0.264158 | − | 0.964479i | \(-0.585094\pi\) |
−0.967343 | + | 0.253472i | \(0.918428\pi\) | |||||||
\(114\) | −3.86326 | − | 5.23324i | −0.361827 | − | 0.490138i | ||||
\(115\) | 3.53454i | 0.329598i | ||||||||
\(116\) | 3.04849 | + | 2.77333i | 0.283045 | + | 0.257497i | ||||
\(117\) | −7.84213 | − | 5.45761i | −0.725005 | − | 0.504556i | ||||
\(118\) | 3.36438 | + | 0.362341i | 0.309717 | + | 0.0333562i | ||||
\(119\) | 16.4647 | − | 1.18864i | 1.50932 | − | 0.108962i | ||||
\(120\) | 2.17799 | + | 4.85956i | 0.198822 | + | 0.443615i | ||||
\(121\) | −8.73874 | −0.794431 | ||||||||
\(122\) | −2.70270 | − | 6.11252i | −0.244691 | − | 0.553402i | ||||
\(123\) | −12.8278 | + | 2.86319i | −1.15664 | + | 0.258165i | ||||
\(124\) | −1.21075 | − | 1.10147i | −0.108729 | − | 0.0989149i | ||||
\(125\) | − | 9.58580i | − | 0.857380i | ||||||
\(126\) | 11.1448 | + | 1.33943i | 0.992855 | + | 0.119326i | ||||
\(127\) | 0.935305i | 0.0829949i | 0.999139 | + | 0.0414975i | \(0.0132128\pi\) | ||||
−0.999139 | + | 0.0414975i | \(0.986787\pi\) | |||||||
\(128\) | −10.8210 | + | 3.30232i | −0.956453 | + | 0.291886i | ||||
\(129\) | −2.36528 | + | 7.53945i | −0.208251 | + | 0.663812i | ||||
\(130\) | 4.47771 | − | 1.97986i | 0.392721 | − | 0.173645i | ||||
\(131\) | −8.03944 | −0.702409 | −0.351204 | − | 0.936299i | \(-0.614228\pi\) | ||||
−0.351204 | + | 0.936299i | \(0.614228\pi\) | |||||||
\(132\) | −4.52429 | − | 2.58184i | −0.393789 | − | 0.224720i | ||||
\(133\) | 3.06571 | − | 6.32178i | 0.265831 | − | 0.548168i | ||||
\(134\) | 1.39247 | − | 12.9292i | 0.120291 | − | 1.11691i | ||||
\(135\) | 4.46628 | − | 3.45778i | 0.384396 | − | 0.297598i | ||||
\(136\) | 11.7071 | + | 13.2050i | 1.00387 | + | 1.13232i | ||||
\(137\) | − | 16.3536i | − | 1.39718i | −0.715522 | − | 0.698590i | \(-0.753811\pi\) | ||
0.715522 | − | 0.698590i | \(-0.246189\pi\) | |||||||
\(138\) | 0.892692 | + | 7.91451i | 0.0759910 | + | 0.673728i | ||||
\(139\) | 20.0549 | + | 11.5787i | 1.70104 | + | 0.982095i | 0.944713 | + | 0.327899i | \(0.106341\pi\) |
0.756325 | + | 0.654196i | \(0.226993\pi\) | |||||||
\(140\) | −3.55431 | + | 4.52243i | −0.300394 | + | 0.382215i | ||||
\(141\) | 5.13958 | + | 23.0265i | 0.432830 | + | 1.93918i | ||||
\(142\) | 10.1600 | − | 13.9089i | 0.852609 | − | 1.16721i | ||||
\(143\) | −2.39454 | + | 4.14747i | −0.200242 | + | 0.346829i | ||||
\(144\) | 6.10427 | + | 10.3314i | 0.508689 | + | 0.860950i | ||||
\(145\) | 1.11997 | + | 1.93985i | 0.0930086 | + | 0.161096i | ||||
\(146\) | −4.60902 | − | 10.4239i | −0.381445 | − | 0.862691i | ||||
\(147\) | 4.31349 | + | 11.3311i | 0.355771 | + | 0.934573i | ||||
\(148\) | −11.7344 | + | 12.8987i | −0.964563 | + | 1.06026i | ||||
\(149\) | 8.77236i | 0.718660i | 0.933211 | + | 0.359330i | \(0.116995\pi\) | ||||
−0.933211 | + | 0.359330i | \(0.883005\pi\) | |||||||
\(150\) | −1.04830 | − | 9.29414i | −0.0855936 | − | 0.758863i | ||||
\(151\) | − | 9.22600i | − | 0.750802i | −0.926863 | − | 0.375401i | \(-0.877505\pi\) | ||
0.926863 | − | 0.375401i | \(-0.122495\pi\) | |||||||
\(152\) | 7.35869 | − | 1.50503i | 0.596869 | − | 0.122074i | ||||
\(153\) | 10.6920 | − | 15.3635i | 0.864398 | − | 1.24207i | ||||
\(154\) | 0.198111 | − | 5.62302i | 0.0159642 | − | 0.453116i | ||||
\(155\) | −0.444814 | − | 0.770441i | −0.0357284 | − | 0.0618833i | ||||
\(156\) | 9.52641 | − | 5.56417i | 0.762724 | − | 0.445490i | ||||
\(157\) | −2.27264 | − | 3.93633i | −0.181377 | − | 0.314154i | 0.760973 | − | 0.648784i | \(-0.224722\pi\) |
−0.942350 | + | 0.334630i | \(0.891389\pi\) | |||||||
\(158\) | −18.6633 | + | 8.25211i | −1.48477 | + | 0.656502i | ||||
\(159\) | 1.34024 | − | 0.299145i | 0.106288 | − | 0.0237237i | ||||
\(160\) | −6.14864 | − | 0.0788865i | −0.486092 | − | 0.00623652i | ||||
\(161\) | −7.12123 | + | 4.82673i | −0.561231 | + | 0.380399i | ||||
\(162\) | 9.12754 | − | 8.87063i | 0.717127 | − | 0.696943i | ||||
\(163\) | −0.751164 | + | 0.433685i | −0.0588357 | + | 0.0339688i | −0.529129 | − | 0.848541i | \(-0.677481\pi\) |
0.470294 | + | 0.882510i | \(0.344148\pi\) | |||||||
\(164\) | 3.23156 | − | 14.8287i | 0.252342 | − | 1.15793i | ||||
\(165\) | −1.91575 | − | 2.08465i | −0.149141 | − | 0.162290i | ||||
\(166\) | 6.76349 | + | 0.728422i | 0.524949 | + | 0.0565365i | ||||
\(167\) | 2.24779 | − | 3.89329i | 0.173939 | − | 0.301272i | −0.765854 | − | 0.643014i | \(-0.777684\pi\) |
0.939794 | + | 0.341742i | \(0.111017\pi\) | |||||||
\(168\) | −6.81657 | + | 11.0243i | −0.525910 | + | 0.850540i | ||||
\(169\) | 1.42864 | + | 2.47448i | 0.109895 | + | 0.190345i | ||||
\(170\) | 3.87874 | + | 8.77230i | 0.297486 | + | 0.672805i | ||||
\(171\) | −3.38758 | − | 7.21053i | −0.259055 | − | 0.551403i | ||||
\(172\) | −6.74916 | − | 6.13998i | −0.514619 | − | 0.468169i | ||||
\(173\) | 17.2250 | + | 9.94485i | 1.30959 | + | 0.756093i | 0.982028 | − | 0.188736i | \(-0.0604392\pi\) |
0.327563 | + | 0.944829i | \(0.393773\pi\) | |||||||
\(174\) | 2.99776 | + | 4.06083i | 0.227260 | + | 0.307851i | ||||
\(175\) | 8.36257 | − | 5.66810i | 0.632151 | − | 0.428468i | ||||
\(176\) | 4.90226 | − | 3.48540i | 0.369522 | − | 0.262722i | ||||
\(177\) | 3.95431 | + | 1.24055i | 0.297224 | + | 0.0932453i | ||||
\(178\) | 1.03333 | − | 9.59462i | 0.0774515 | − | 0.719147i | ||||
\(179\) | −1.85338 | + | 3.21014i | −0.138528 | + | 0.239937i | −0.926940 | − | 0.375211i | \(-0.877570\pi\) |
0.788412 | + | 0.615148i | \(0.210904\pi\) | |||||||
\(180\) | 1.45281 | + | 6.35829i | 0.108286 | + | 0.473919i | ||||
\(181\) | −20.5160 | −1.52494 | −0.762470 | − | 0.647024i | \(-0.776013\pi\) | ||||
−0.762470 | + | 0.647024i | \(0.776013\pi\) | |||||||
\(182\) | 10.1036 | + | 6.31782i | 0.748931 | + | 0.468308i | ||||
\(183\) | −1.78313 | − | 7.98885i | −0.131813 | − | 0.590553i | ||||
\(184\) | −8.72458 | − | 2.90922i | −0.643185 | − | 0.214471i | ||||
\(185\) | −8.20783 | + | 4.73879i | −0.603452 | + | 0.348403i | ||||
\(186\) | −1.19061 | − | 1.61282i | −0.0872996 | − | 0.118258i | ||||
\(187\) | −8.12531 | − | 4.69115i | −0.594182 | − | 0.343051i | ||||
\(188\) | −26.6183 | − | 5.80082i | −1.94134 | − | 0.423068i | ||||
\(189\) | 13.0656 | + | 4.27654i | 0.950386 | + | 0.311073i | ||||
\(190\) | 4.05886 | + | 0.437136i | 0.294461 | + | 0.0317132i | ||||
\(191\) | −8.17527 | + | 14.1600i | −0.591541 | + | 1.02458i | 0.402484 | + | 0.915427i | \(0.368147\pi\) |
−0.994025 | + | 0.109153i | \(0.965186\pi\) | |||||||
\(192\) | −13.7879 | + | 1.37627i | −0.995055 | + | 0.0993238i | ||||
\(193\) | 5.75403 | + | 9.96628i | 0.414184 | + | 0.717388i | 0.995342 | − | 0.0964023i | \(-0.0307335\pi\) |
−0.581158 | + | 0.813791i | \(0.697400\pi\) | |||||||
\(194\) | −18.8303 | − | 2.02801i | −1.35194 | − | 0.145603i | ||||
\(195\) | 5.85221 | − | 1.30623i | 0.419086 | − | 0.0935409i | ||||
\(196\) | −13.9653 | − | 0.985275i | −0.997520 | − | 0.0703768i | ||||
\(197\) | − | 11.6386i | − | 0.829217i | −0.910000 | − | 0.414608i | \(-0.863919\pi\) | ||
0.910000 | − | 0.414608i | \(-0.136081\pi\) | |||||||
\(198\) | −4.81623 | − | 4.18409i | −0.342275 | − | 0.297350i | ||||
\(199\) | 14.1464 | + | 8.16741i | 1.00281 | + | 0.578972i | 0.909078 | − | 0.416625i | \(-0.136787\pi\) |
0.0937311 | + | 0.995598i | \(0.470121\pi\) | |||||||
\(200\) | 10.2454 | + | 3.41635i | 0.724460 | + | 0.241572i | ||||
\(201\) | 4.76739 | − | 15.1963i | 0.336266 | − | 1.07186i | ||||
\(202\) | −2.35452 | − | 1.71990i | −0.165663 | − | 0.121012i | ||||
\(203\) | −2.37889 | + | 4.90550i | −0.166966 | + | 0.344299i | ||||
\(204\) | 10.9008 | + | 18.6632i | 0.763208 | + | 1.30669i | ||||
\(205\) | 4.12437 | − | 7.14362i | 0.288059 | − | 0.498932i | ||||
\(206\) | 3.34447 | + | 2.44304i | 0.233021 | + | 0.170215i | ||||
\(207\) | −0.822257 | + | 9.72001i | −0.0571508 | + | 0.675587i | ||||
\(208\) | 1.20150 | + | 12.6823i | 0.0833088 | + | 0.879357i | ||||
\(209\) | −3.45828 | + | 1.99664i | −0.239214 | + | 0.138110i | ||||
\(210\) | −5.35170 | + | 4.58121i | −0.369302 | + | 0.316134i | ||||
\(211\) | −19.4336 | − | 11.2200i | −1.33786 | − | 0.772416i | −0.351373 | − | 0.936235i | \(-0.614285\pi\) |
−0.986490 | + | 0.163820i | \(0.947619\pi\) | |||||||
\(212\) | −0.337632 | + | 1.54930i | −0.0231887 | + | 0.106406i | ||||
\(213\) | 15.5328 | − | 14.2743i | 1.06429 | − | 0.978058i | ||||
\(214\) | −15.4074 | − | 1.65936i | −1.05323 | − | 0.113431i | ||||
\(215\) | −2.47955 | − | 4.29471i | −0.169104 | − | 0.292897i | ||||
\(216\) | 4.85897 | + | 13.8705i | 0.330611 | + | 0.943767i | ||||
\(217\) | 0.944815 | − | 1.94830i | 0.0641382 | − | 0.132259i | ||||
\(218\) | −8.32470 | − | 18.8274i | −0.563820 | − | 1.27516i | ||||
\(219\) | −3.04084 | − | 13.6237i | −0.205481 | − | 0.920605i | ||||
\(220\) | 3.11436 | − | 0.994277i | 0.209970 | − | 0.0670341i | ||||
\(221\) | 17.2085 | − | 9.93531i | 1.15757 | − | 0.668322i | ||||
\(222\) | −17.1821 | + | 12.6840i | −1.15318 | + | 0.851297i | ||||
\(223\) | −15.3730 | + | 8.87563i | −1.02946 | + | 0.594356i | −0.916829 | − | 0.399281i | \(-0.869260\pi\) |
−0.112627 | + | 0.993637i | \(0.535926\pi\) | |||||||
\(224\) | −8.23756 | − | 12.4957i | −0.550395 | − | 0.834904i | ||||
\(225\) | 0.965590 | − | 11.4144i | 0.0643727 | − | 0.760957i | ||||
\(226\) | 19.5516 | − | 8.64491i | 1.30056 | − | 0.575051i | ||||
\(227\) | −13.3878 | −0.888577 | −0.444288 | − | 0.895884i | \(-0.646543\pi\) | ||||
−0.444288 | + | 0.895884i | \(0.646543\pi\) | |||||||
\(228\) | 9.19897 | − | 0.0462850i | 0.609217 | − | 0.00306530i | ||||
\(229\) | −13.0713 | −0.863774 | −0.431887 | − | 0.901928i | \(-0.642152\pi\) | ||||
−0.431887 | + | 0.901928i | \(0.642152\pi\) | |||||||
\(230\) | −4.03640 | − | 2.94847i | −0.266152 | − | 0.194416i | ||||
\(231\) | 1.58394 | − | 6.70653i | 0.104215 | − | 0.441257i | ||||
\(232\) | −5.71011 | + | 1.16786i | −0.374887 | + | 0.0766735i | ||||
\(233\) | 5.07304 | − | 2.92892i | 0.332346 | − | 0.191880i | −0.324536 | − | 0.945873i | \(-0.605208\pi\) |
0.656882 | + | 0.753993i | \(0.271875\pi\) | |||||||
\(234\) | 12.7743 | − | 4.40294i | 0.835083 | − | 0.287829i | ||||
\(235\) | −12.8232 | − | 7.40346i | −0.836492 | − | 0.482949i | ||||
\(236\) | −3.22031 | + | 3.53982i | −0.209624 | + | 0.230423i | ||||
\(237\) | −24.3922 | + | 5.44440i | −1.58445 | + | 0.353652i | ||||
\(238\) | −12.3772 | + | 19.7940i | −0.802298 | + | 1.28306i | ||||
\(239\) | 4.28685 | − | 7.42504i | 0.277293 | − | 0.480286i | −0.693418 | − | 0.720536i | \(-0.743896\pi\) |
0.970711 | + | 0.240250i | \(0.0772293\pi\) | |||||||
\(240\) | −7.36640 | − | 1.56655i | −0.475499 | − | 0.101120i | ||||
\(241\) | 2.77555 | 0.178789 | 0.0893945 | − | 0.995996i | \(-0.471507\pi\) | ||||
0.0893945 | + | 0.995996i | \(0.471507\pi\) | |||||||
\(242\) | 7.28974 | − | 9.97952i | 0.468602 | − | 0.641508i | ||||
\(243\) | 13.0867 | − | 8.46989i | 0.839510 | − | 0.543343i | ||||
\(244\) | 9.23497 | + | 2.01254i | 0.591209 | + | 0.128840i | ||||
\(245\) | −7.06789 | − | 2.81860i | −0.451551 | − | 0.180074i | ||||
\(246\) | 7.43104 | − | 17.0376i | 0.473786 | − | 1.08628i | ||||
\(247\) | − | 8.45729i | − | 0.538125i | ||||||
\(248\) | 2.26786 | − | 0.463832i | 0.144009 | − | 0.0294534i | ||||
\(249\) | 7.94944 | + | 2.49390i | 0.503775 | + | 0.158045i | ||||
\(250\) | 10.9468 | + | 7.99634i | 0.692339 | + | 0.505733i | ||||
\(251\) | 5.34591 | 0.337431 | 0.168716 | − | 0.985665i | \(-0.446038\pi\) | ||||
0.168716 | + | 0.985665i | \(0.446038\pi\) | |||||||
\(252\) | −10.8264 | + | 11.6098i | −0.682001 | + | 0.731351i | ||||
\(253\) | 4.88955 | 0.307403 | ||||||||
\(254\) | −1.06811 | − | 0.780219i | −0.0670189 | − | 0.0489553i | ||||
\(255\) | 2.55903 | + | 11.4651i | 0.160253 | + | 0.717972i | ||||
\(256\) | 5.25556 | − | 15.1122i | 0.328473 | − | 0.944513i | ||||
\(257\) | − | 2.19992i | − | 0.137227i | −0.997643 | − | 0.0686135i | \(-0.978142\pi\) | ||
0.997643 | − | 0.0686135i | \(-0.0218575\pi\) | |||||||
\(258\) | −6.63687 | − | 8.99043i | −0.413193 | − | 0.559720i | ||||
\(259\) | −20.7560 | − | 10.0655i | −1.28972 | − | 0.625440i | ||||
\(260\) | −1.47428 | + | 6.76506i | −0.0914311 | + | 0.419551i | ||||
\(261\) | 2.62865 | + | 5.59514i | 0.162709 | + | 0.346330i | ||||
\(262\) | 6.70639 | − | 9.18093i | 0.414322 | − | 0.567200i | ||||
\(263\) | 6.25322 | 0.385590 | 0.192795 | − | 0.981239i | \(-0.438245\pi\) | ||||
0.192795 | + | 0.981239i | \(0.438245\pi\) | |||||||
\(264\) | 6.72253 | − | 3.01295i | 0.413743 | − | 0.185434i | ||||
\(265\) | −0.430913 | + | 0.746363i | −0.0264708 | + | 0.0458487i | ||||
\(266\) | 4.66201 | + | 8.77455i | 0.285846 | + | 0.538002i | ||||
\(267\) | 3.53782 | − | 11.2770i | 0.216511 | − | 0.690141i | ||||
\(268\) | 13.6034 | + | 12.3756i | 0.830961 | + | 0.755958i | ||||
\(269\) | 7.71725 | + | 4.45555i | 0.470529 | + | 0.271660i | 0.716461 | − | 0.697627i | \(-0.245761\pi\) |
−0.245932 | + | 0.969287i | \(0.579094\pi\) | |||||||
\(270\) | 0.223025 | + | 7.98486i | 0.0135728 | + | 0.485943i | ||||
\(271\) | −2.17320 | + | 1.25470i | −0.132013 | + | 0.0762175i | −0.564552 | − | 0.825398i | \(-0.690951\pi\) |
0.432539 | + | 0.901615i | \(0.357618\pi\) | |||||||
\(272\) | −24.8459 | + | 2.35386i | −1.50650 | + | 0.142723i | ||||
\(273\) | 10.6234 | + | 10.0070i | 0.642959 | + | 0.605650i | ||||
\(274\) | 18.6756 | + | 13.6419i | 1.12823 | + | 0.824140i | ||||
\(275\) | −5.74188 | −0.346248 | ||||||||
\(276\) | −9.78294 | − | 5.58274i | −0.588864 | − | 0.336041i | ||||
\(277\) | 29.5996 | 1.77847 | 0.889233 | − | 0.457454i | \(-0.151238\pi\) | ||||
0.889233 | + | 0.457454i | \(0.151238\pi\) | |||||||
\(278\) | −29.9523 | + | 13.2436i | −1.79642 | + | 0.794301i | ||||
\(279\) | −1.04401 | − | 2.22220i | −0.0625032 | − | 0.133039i | ||||
\(280\) | −2.19959 | − | 7.83152i | −0.131451 | − | 0.468023i | ||||
\(281\) | −21.1188 | + | 12.1929i | −1.25984 | + | 0.727370i | −0.973044 | − | 0.230621i | \(-0.925924\pi\) |
−0.286798 | + | 0.957991i | \(0.592591\pi\) | |||||||
\(282\) | −30.5834 | − | 13.3391i | −1.82121 | − | 0.794333i | ||||
\(283\) | −13.2134 | + | 7.62875i | −0.785454 | + | 0.453482i | −0.838360 | − | 0.545117i | \(-0.816485\pi\) |
0.0529054 | + | 0.998600i | \(0.483152\pi\) | |||||||
\(284\) | 7.40838 | + | 23.2052i | 0.439607 | + | 1.37697i | ||||
\(285\) | 4.77057 | + | 1.49662i | 0.282584 | + | 0.0886523i | ||||
\(286\) | −2.73886 | − | 6.19430i | −0.161952 | − | 0.366276i | ||||
\(287\) | 20.0248 | − | 1.44565i | 1.18203 | − | 0.0853342i | ||||
\(288\) | −16.8904 | − | 1.64732i | −0.995278 | − | 0.0970695i | ||||
\(289\) | 10.9643 | + | 18.9907i | 0.644959 | + | 1.11710i | ||||
\(290\) | −3.14955 | − | 0.339203i | −0.184948 | − | 0.0199187i | ||||
\(291\) | −22.1321 | − | 6.94330i | −1.29741 | − | 0.407023i | ||||
\(292\) | 15.7488 | + | 3.43207i | 0.921627 | + | 0.200847i | ||||
\(293\) | 10.4046 | + | 6.00710i | 0.607843 | + | 0.350939i | 0.772121 | − | 0.635476i | \(-0.219196\pi\) |
−0.164278 | + | 0.986414i | \(0.552529\pi\) | |||||||
\(294\) | −16.5382 | − | 4.52630i | −0.964528 | − | 0.263979i | ||||
\(295\) | −2.25250 | + | 1.30048i | −0.131146 | + | 0.0757170i | ||||
\(296\) | −4.94139 | − | 24.1604i | −0.287213 | − | 1.40430i | ||||
\(297\) | −4.78335 | − | 6.17847i | −0.277558 | − | 0.358511i | ||||
\(298\) | −10.0179 | − | 7.31779i | −0.580322 | − | 0.423908i | ||||
\(299\) | −5.17775 | + | 8.96812i | −0.299437 | + | 0.518640i | ||||
\(300\) | 11.4883 | + | 6.55590i | 0.663275 | + | 0.378505i | ||||
\(301\) | 5.26673 | − | 10.8605i | 0.303569 | − | 0.625988i | ||||
\(302\) | 10.5360 | + | 7.69621i | 0.606277 | + | 0.442867i | ||||
\(303\) | −2.41638 | − | 2.62942i | −0.138817 | − | 0.151056i | ||||
\(304\) | −4.41980 | + | 9.65900i | −0.253493 | + | 0.553982i | ||||
\(305\) | 4.44888 | + | 2.56856i | 0.254742 | + | 0.147076i | ||||
\(306\) | 8.62581 | + | 25.0262i | 0.493105 | + | 1.43065i | ||||
\(307\) | 26.0671i | 1.48773i | 0.668330 | + | 0.743865i | \(0.267010\pi\) | ||||
−0.668330 | + | 0.743865i | \(0.732990\pi\) | |||||||
\(308\) | 6.25615 | + | 4.91689i | 0.356477 | + | 0.280166i | ||||
\(309\) | 3.43234 | + | 3.73496i | 0.195259 | + | 0.212475i | ||||
\(310\) | 1.25089 | + | 0.134720i | 0.0710459 | + | 0.00765158i | ||||
\(311\) | 2.58935 | + | 4.48489i | 0.146829 | + | 0.254315i | 0.930054 | − | 0.367424i | \(-0.119760\pi\) |
−0.783225 | + | 0.621738i | \(0.786427\pi\) | |||||||
\(312\) | −1.59260 | + | 15.5206i | −0.0901632 | + | 0.878681i | ||||
\(313\) | −5.78482 | + | 10.0196i | −0.326977 | + | 0.566341i | −0.981911 | − | 0.189345i | \(-0.939363\pi\) |
0.654933 | + | 0.755687i | \(0.272697\pi\) | |||||||
\(314\) | 6.39105 | + | 0.688310i | 0.360668 | + | 0.0388436i | ||||
\(315\) | −7.52466 | + | 4.22158i | −0.423967 | + | 0.237859i | ||||
\(316\) | 6.14486 | − | 28.1970i | 0.345675 | − | 1.58620i | ||||
\(317\) | 20.3511 | + | 11.7497i | 1.14303 | + | 0.659931i | 0.947180 | − | 0.320702i | \(-0.103919\pi\) |
0.195854 | + | 0.980633i | \(0.437252\pi\) | |||||||
\(318\) | −0.776392 | + | 1.78008i | −0.0435379 | + | 0.0998219i | ||||
\(319\) | 2.68351 | − | 1.54933i | 0.150248 | − | 0.0867456i | ||||
\(320\) | 5.21920 | − | 6.95585i | 0.291762 | − | 0.388844i | ||||
\(321\) | −18.1090 | − | 5.68115i | −1.01074 | − | 0.317091i | ||||
\(322\) | 0.428377 | − | 12.1587i | 0.0238725 | − | 0.677580i | ||||
\(323\) | 16.5687 | 0.921907 | ||||||||
\(324\) | 2.51607 | + | 17.8233i | 0.139782 | + | 0.990182i | ||||
\(325\) | 6.08031 | − | 10.5314i | 0.337275 | − | 0.584178i | ||||
\(326\) | 0.131349 | − | 1.21959i | 0.00727476 | − | 0.0675470i | ||||
\(327\) | −5.49229 | − | 24.6068i | −0.303725 | − | 1.36076i | ||||
\(328\) | 14.2384 | + | 16.0603i | 0.786186 | + | 0.886781i | ||||
\(329\) | −2.59502 | − | 35.9456i | −0.143068 | − | 1.98174i | ||||
\(330\) | 3.97874 | − | 0.448769i | 0.219022 | − | 0.0247039i | ||||
\(331\) | 13.1179 | + | 7.57360i | 0.721022 | + | 0.416283i | 0.815129 | − | 0.579280i | \(-0.196666\pi\) |
−0.0941064 | + | 0.995562i | \(0.529999\pi\) | |||||||
\(332\) | −6.47387 | + | 7.11618i | −0.355300 | + | 0.390551i | ||||
\(333\) | −23.6740 | + | 11.1223i | −1.29733 | + | 0.609497i | ||||
\(334\) | 2.57100 | + | 5.81468i | 0.140679 | + | 0.318165i | ||||
\(335\) | 4.99771 | + | 8.65629i | 0.273054 | + | 0.472944i | ||||
\(336\) | −6.90326 | − | 16.9807i | −0.376604 | − | 0.926375i | ||||
\(337\) | 13.2530 | − | 22.9549i | 0.721938 | − | 1.25043i | −0.238284 | − | 0.971196i | \(-0.576585\pi\) |
0.960222 | − | 0.279238i | \(-0.0900817\pi\) | |||||||
\(338\) | −4.01757 | − | 0.432689i | −0.218527 | − | 0.0235352i | ||||
\(339\) | 25.5533 | − | 5.70355i | 1.38786 | − | 0.309774i | ||||
\(340\) | −13.2534 | − | 2.88827i | −0.718769 | − | 0.156638i | ||||
\(341\) | −1.06580 | + | 0.615339i | −0.0577162 | + | 0.0333225i | ||||
\(342\) | 11.0602 | + | 2.14636i | 0.598067 | + | 0.116062i | ||||
\(343\) | −3.97304 | − | 18.0891i | −0.214524 | − | 0.976719i | ||||
\(344\) | 12.6418 | − | 2.58556i | 0.681602 | − | 0.139404i | ||||
\(345\) | −4.14245 | − | 4.50767i | −0.223022 | − | 0.242685i | ||||
\(346\) | −25.7257 | + | 11.3748i | −1.38302 | + | 0.611515i | ||||
\(347\) | 10.3541 | + | 17.9339i | 0.555839 | + | 0.962741i | 0.997838 | + | 0.0657252i | \(0.0209361\pi\) |
−0.441999 | + | 0.897015i | \(0.645731\pi\) | |||||||
\(348\) | −7.13810 | + | 0.0359156i | −0.382643 | + | 0.00192528i | ||||
\(349\) | −2.18348 | − | 3.78189i | −0.116879 | − | 0.202440i | 0.801650 | − | 0.597793i | \(-0.203956\pi\) |
−0.918529 | + | 0.395353i | \(0.870622\pi\) | |||||||
\(350\) | −0.503051 | + | 14.2782i | −0.0268892 | + | 0.763202i | ||||
\(351\) | 16.3975 | − | 2.23070i | 0.875233 | − | 0.119066i | ||||
\(352\) | −0.109128 | + | 8.50578i | −0.00581657 | + | 0.453360i | ||||
\(353\) | − | 3.60635i | − | 0.191946i | −0.995384 | − | 0.0959732i | \(-0.969404\pi\) | ||
0.995384 | − | 0.0959732i | \(-0.0305963\pi\) | |||||||
\(354\) | −4.71532 | + | 3.48092i | −0.250617 | + | 0.185009i | ||||
\(355\) | 13.2395i | 0.702678i | ||||||||
\(356\) | 10.0949 | + | 9.18376i | 0.535030 | + | 0.486738i | ||||
\(357\) | −19.6047 | + | 20.8124i | −1.03759 | + | 1.10151i | ||||
\(358\) | −2.11988 | − | 4.79439i | −0.112039 | − | 0.253391i | ||||
\(359\) | 8.74493 | + | 15.1467i | 0.461540 | + | 0.799410i | 0.999038 | − | 0.0438545i | \(-0.0139638\pi\) |
−0.537498 | + | 0.843265i | \(0.680630\pi\) | |||||||
\(360\) | −8.47299 | − | 3.64491i | −0.446566 | − | 0.192104i | ||||
\(361\) | −5.97403 | + | 10.3473i | −0.314423 | + | 0.544596i | ||||
\(362\) | 17.1141 | − | 23.4289i | 0.899500 | − | 1.23140i | ||||
\(363\) | 11.1447 | − | 10.2417i | 0.584944 | − | 0.537551i | ||||
\(364\) | −15.6432 | + | 6.26796i | −0.819925 | + | 0.328531i | ||||
\(365\) | 7.58686 | + | 4.38028i | 0.397115 | + | 0.229274i | ||||
\(366\) | 10.6106 | + | 4.62788i | 0.554626 | + | 0.241903i | ||||
\(367\) | − | 1.24210i | − | 0.0648371i | −0.999474 | − | 0.0324185i | \(-0.989679\pi\) | ||
0.999474 | − | 0.0324185i | \(-0.0103209\pi\) | |||||||
\(368\) | 10.6002 | − | 7.53651i | 0.552575 | − | 0.392868i | ||||
\(369\) | 13.0039 | − | 18.6855i | 0.676955 | − | 0.972729i | ||||
\(370\) | 1.43523 | − | 13.3263i | 0.0746139 | − | 0.692800i | ||||
\(371\) | −2.09218 | + | 0.151041i | −0.108621 | + | 0.00784167i | ||||
\(372\) | 2.83501 | − | 0.0142645i | 0.146988 | − | 0.000739577i | ||||
\(373\) | 1.62882 | 0.0843372 | 0.0421686 | − | 0.999111i | \(-0.486573\pi\) | ||||
0.0421686 | + | 0.999111i | \(0.486573\pi\) | |||||||
\(374\) | 12.1353 | − | 5.36570i | 0.627499 | − | 0.277454i | ||||
\(375\) | 11.2345 | + | 12.2250i | 0.580145 | + | 0.631294i | ||||
\(376\) | 28.8291 | − | 25.5588i | 1.48675 | − | 1.31809i | ||||
\(377\) | 6.56258i | 0.337990i | ||||||||
\(378\) | −15.7829 | + | 11.3534i | −0.811787 | + | 0.583954i | ||||
\(379\) | 30.3716i | 1.56008i | 0.625727 | + | 0.780042i | \(0.284802\pi\) | ||||
−0.625727 | + | 0.780042i | \(0.715198\pi\) | |||||||
\(380\) | −3.88505 | + | 4.27051i | −0.199299 | + | 0.219073i | ||||
\(381\) | −1.09617 | − | 1.19281i | −0.0561584 | − | 0.0611097i | ||||
\(382\) | −9.35080 | − | 21.1481i | −0.478428 | − | 1.08203i | ||||
\(383\) | 26.6162 | 1.36002 | 0.680012 | − | 0.733201i | \(-0.261975\pi\) | ||||
0.680012 | + | 0.733201i | \(0.261975\pi\) | |||||||
\(384\) | 9.92999 | − | 16.8936i | 0.506738 | − | 0.862100i | ||||
\(385\) | 2.42646 | + | 3.57994i | 0.123664 | + | 0.182451i | ||||
\(386\) | −16.1813 | − | 1.74271i | −0.823606 | − | 0.0887016i | ||||
\(387\) | −5.81968 | − | 12.3873i | −0.295831 | − | 0.629682i | ||||
\(388\) | 18.0240 | − | 19.8122i | 0.915029 | − | 1.00581i | ||||
\(389\) | − | 28.6570i | − | 1.45297i | −0.687184 | − | 0.726483i | \(-0.741153\pi\) | ||
0.687184 | − | 0.726483i | \(-0.258847\pi\) | |||||||
\(390\) | −3.39014 | + | 7.77278i | −0.171667 | + | 0.393590i | ||||
\(391\) | −17.5695 | − | 10.1437i | −0.888526 | − | 0.512991i | ||||
\(392\) | 12.7748 | − | 15.1263i | 0.645226 | − | 0.763992i | ||||
\(393\) | 10.2529 | − | 9.42214i | 0.517188 | − | 0.475284i | ||||
\(394\) | 13.2911 | + | 9.70877i | 0.669597 | + | 0.489121i | ||||
\(395\) | 7.84256 | − | 13.5837i | 0.394602 | − | 0.683470i | ||||
\(396\) | 8.79581 | − | 2.00976i | 0.442006 | − | 0.100994i | ||||
\(397\) | −13.0065 | − | 22.5280i | −0.652778 | − | 1.13065i | −0.982446 | − | 0.186548i | \(-0.940270\pi\) |
0.329667 | − | 0.944097i | \(-0.393063\pi\) | |||||||
\(398\) | −21.1278 | + | 9.34181i | −1.05904 | + | 0.468263i | ||||
\(399\) | 3.49930 | + | 11.6553i | 0.175184 | + | 0.583494i | ||||
\(400\) | −12.4480 | + | 8.85025i | −0.622401 | + | 0.442513i | ||||
\(401\) | 21.7110i | 1.08420i | 0.840315 | + | 0.542099i | \(0.182370\pi\) | ||||
−0.840315 | + | 0.542099i | \(0.817630\pi\) | |||||||
\(402\) | 13.3771 | + | 18.1208i | 0.667188 | + | 0.903786i | ||||
\(403\) | − | 2.60643i | − | 0.129836i | ||||||
\(404\) | 3.92821 | − | 1.25410i | 0.195436 | − | 0.0623940i | ||||
\(405\) | −1.64345 | + | 9.64420i | −0.0816637 | + | 0.479224i | ||||
\(406\) | −3.61757 | − | 6.80877i | −0.179537 | − | 0.337913i | ||||
\(407\) | 6.55546 | + | 11.3544i | 0.324942 | + | 0.562816i | ||||
\(408\) | −30.4064 | − | 3.12007i | −1.50534 | − | 0.154466i | ||||
\(409\) | −12.7947 | − | 22.1611i | −0.632657 | − | 1.09579i | −0.987006 | − | 0.160681i | \(-0.948631\pi\) |
0.354349 | − | 0.935113i | \(-0.384702\pi\) | |||||||
\(410\) | 4.71742 | + | 10.6691i | 0.232977 | + | 0.526909i | ||||
\(411\) | 19.1662 | + | 20.8560i | 0.945400 | + | 1.02875i | ||||
\(412\) | −5.57983 | + | 1.78139i | −0.274899 | + | 0.0877629i | ||||
\(413\) | −5.69613 | − | 2.76231i | −0.280288 | − | 0.135924i | ||||
\(414\) | −10.4142 | − | 9.04731i | −0.511830 | − | 0.444651i | ||||
\(415\) | −4.52825 | + | 2.61439i | −0.222283 | + | 0.128335i | ||||
\(416\) | −15.4852 | − | 9.20729i | −0.759227 | − | 0.451424i | ||||
\(417\) | −39.1466 | + | 8.73761i | −1.91702 | + | 0.427883i | ||||
\(418\) | 0.604717 | − | 5.61487i | 0.0295777 | − | 0.274632i | ||||
\(419\) | 3.64856 | − | 6.31949i | 0.178244 | − | 0.308727i | −0.763035 | − | 0.646357i | \(-0.776292\pi\) |
0.941279 | + | 0.337629i | \(0.109625\pi\) | |||||||
\(420\) | −0.767363 | − | 9.93315i | −0.0374435 | − | 0.484688i | ||||
\(421\) | −6.81198 | − | 11.7987i | −0.331996 | − | 0.575034i | 0.650907 | − | 0.759157i | \(-0.274389\pi\) |
−0.982903 | + | 0.184124i | \(0.941055\pi\) | |||||||
\(422\) | 29.0243 | − | 12.8333i | 1.41288 | − | 0.624717i | ||||
\(423\) | −33.5415 | − | 23.3427i | −1.63084 | − | 1.13496i | ||||
\(424\) | −1.48763 | − | 1.67797i | −0.0722455 | − | 0.0814896i | ||||
\(425\) | 20.6321 | + | 11.9120i | 1.00080 | + | 0.577815i | ||||
\(426\) | 3.34379 | + | 29.6457i | 0.162007 | + | 1.43634i | ||||
\(427\) | 0.900320 | + | 12.4710i | 0.0435695 | + | 0.603514i | ||||
\(428\) | 14.7476 | − | 16.2108i | 0.712851 | − | 0.783577i | ||||
\(429\) | −1.80698 | − | 8.09572i | −0.0872420 | − | 0.390865i | ||||
\(430\) | 6.97291 | + | 0.750976i | 0.336263 | + | 0.0362153i | ||||
\(431\) | 6.04210 | − | 10.4652i | 0.291038 | − | 0.504092i | −0.683018 | − | 0.730402i | \(-0.739333\pi\) |
0.974055 | + | 0.226310i | \(0.0726661\pi\) | |||||||
\(432\) | −19.8932 | − | 6.02169i | −0.957112 | − | 0.289719i | ||||
\(433\) | 22.6142 | 1.08677 | 0.543386 | − | 0.839483i | \(-0.317142\pi\) | ||||
0.543386 | + | 0.839483i | \(0.317142\pi\) | |||||||
\(434\) | 1.43677 | + | 2.70421i | 0.0689674 | + | 0.129806i | ||||
\(435\) | −3.70181 | − | 1.16133i | −0.177488 | − | 0.0556816i | ||||
\(436\) | 28.4450 | + | 6.19891i | 1.36227 | + | 0.296874i | ||||
\(437\) | −7.47788 | + | 4.31736i | −0.357715 | + | 0.206527i | ||||
\(438\) | 18.0947 | + | 7.89212i | 0.864599 | + | 0.377100i | ||||
\(439\) | −21.7128 | − | 12.5359i | −1.03630 | − | 0.598307i | −0.117515 | − | 0.993071i | \(-0.537493\pi\) |
−0.918782 | + | 0.394765i | \(0.870826\pi\) | |||||||
\(440\) | −1.46251 | + | 4.38597i | −0.0697223 | + | 0.209093i | ||||
\(441\) | −18.7810 | − | 9.39540i | −0.894334 | − | 0.447400i | ||||
\(442\) | −3.00909 | + | 27.9397i | −0.143128 | + | 1.32896i | ||||
\(443\) | −7.36999 | + | 12.7652i | −0.350159 | + | 0.606493i | −0.986277 | − | 0.165099i | \(-0.947206\pi\) |
0.636118 | + | 0.771592i | \(0.280539\pi\) | |||||||
\(444\) | −0.151965 | − | 30.2025i | −0.00721195 | − | 1.43335i | ||||
\(445\) | 3.70874 | + | 6.42373i | 0.175811 | + | 0.304514i | ||||
\(446\) | 2.68814 | − | 24.9597i | 0.127287 | − | 1.18188i | ||||
\(447\) | −10.2811 | − | 11.1876i | −0.486280 | − | 0.529154i | ||||
\(448\) | 21.1416 | + | 1.01657i | 0.998846 | + | 0.0480282i | ||||
\(449\) | 36.4636i | 1.72082i | 0.509601 | + | 0.860411i | \(0.329793\pi\) | ||||
−0.509601 | + | 0.860411i | \(0.670207\pi\) | |||||||
\(450\) | 12.2296 | + | 10.6244i | 0.576507 | + | 0.500839i | ||||
\(451\) | −9.88221 | − | 5.70549i | −0.465335 | − | 0.268661i | ||||
\(452\) | −6.43735 | + | 29.5392i | −0.302788 | + | 1.38941i | ||||
\(453\) | 10.8128 | + | 11.7661i | 0.508029 | + | 0.552820i | ||||
\(454\) | 11.1679 | − | 15.2886i | 0.524135 | − | 0.717531i | ||||
\(455\) | −9.13560 | + | 0.659527i | −0.428283 | + | 0.0309191i | ||||
\(456\) | −7.62080 | + | 10.5437i | −0.356877 | + | 0.493754i | ||||
\(457\) | −8.23699 | + | 14.2669i | −0.385310 | + | 0.667377i | −0.991812 | − | 0.127705i | \(-0.959239\pi\) |
0.606502 | + | 0.795082i | \(0.292572\pi\) | |||||||
\(458\) | 10.9039 | − | 14.9272i | 0.509505 | − | 0.697503i | ||||
\(459\) | 4.37017 | + | 32.1243i | 0.203982 | + | 1.49944i | ||||
\(460\) | 6.73422 | − | 2.14994i | 0.313985 | − | 0.100241i | ||||
\(461\) | −8.43340 | + | 4.86902i | −0.392782 | + | 0.226773i | −0.683365 | − | 0.730077i | \(-0.739484\pi\) |
0.290583 | + | 0.956850i | \(0.406151\pi\) | |||||||
\(462\) | 6.33747 | + | 7.40333i | 0.294846 | + | 0.344434i | ||||
\(463\) | −3.07391 | − | 1.77472i | −0.142857 | − | 0.0824784i | 0.426868 | − | 0.904314i | \(-0.359617\pi\) |
−0.569725 | + | 0.821836i | \(0.692950\pi\) | |||||||
\(464\) | 3.42962 | − | 7.49507i | 0.159216 | − | 0.347950i | ||||
\(465\) | 1.47023 | + | 0.461241i | 0.0681803 | + | 0.0213895i | ||||
\(466\) | −0.887075 | + | 8.23661i | −0.0410930 | + | 0.381553i | ||||
\(467\) | −4.49751 | − | 7.78991i | −0.208120 | − | 0.360474i | 0.743002 | − | 0.669289i | \(-0.233401\pi\) |
−0.951122 | + | 0.308815i | \(0.900068\pi\) | |||||||
\(468\) | −5.62807 | + | 18.2610i | −0.260157 | + | 0.844113i | ||||
\(469\) | −10.6155 | + | 21.8901i | −0.490177 | + | 1.01079i | ||||
\(470\) | 19.1516 | − | 8.46802i | 0.883396 | − | 0.390601i | ||||
\(471\) | 7.51169 | + | 2.35657i | 0.346120 | + | 0.108585i | ||||
\(472\) | −1.35608 | − | 6.63042i | −0.0624187 | − | 0.305190i | ||||
\(473\) | −5.94113 | + | 3.43011i | −0.273174 | + | 0.157717i | ||||
\(474\) | 14.1302 | − | 32.3972i | 0.649024 | − | 1.48805i | ||||
\(475\) | 8.78139 | − | 5.06994i | 0.402918 | − | 0.232625i | ||||
\(476\) | −12.2796 | − | 30.6466i | −0.562834 | − | 1.40468i | ||||
\(477\) | −1.35864 | + | 1.95225i | −0.0622079 | + | 0.0893876i | ||||
\(478\) | 4.90326 | + | 11.0894i | 0.224270 | + | 0.507217i | ||||
\(479\) | −16.9780 | −0.775743 | −0.387871 | − | 0.921714i | \(-0.626790\pi\) | ||||
−0.387871 | + | 0.921714i | \(0.626790\pi\) | |||||||
\(480\) | 7.93393 | − | 7.10553i | 0.362133 | − | 0.324322i | ||||
\(481\) | −27.7674 | −1.26608 | ||||||||
\(482\) | −2.31533 | + | 3.16964i | −0.105460 | + | 0.144373i | ||||
\(483\) | 3.42496 | − | 14.5016i | 0.155841 | − | 0.659847i | ||||
\(484\) | 5.31547 | + | 16.6496i | 0.241612 | + | 0.756799i | ||||
\(485\) | 12.6072 | − | 7.27875i | 0.572462 | − | 0.330511i | ||||
\(486\) | −1.24424 | + | 22.0103i | −0.0564397 | + | 0.998406i | ||||
\(487\) | 0.873051 | + | 0.504056i | 0.0395617 | + | 0.0228410i | 0.519650 | − | 0.854379i | \(-0.326062\pi\) |
−0.480089 | + | 0.877220i | \(0.659396\pi\) | |||||||
\(488\) | −10.0020 | + | 8.86738i | −0.452769 | + | 0.401407i | ||||
\(489\) | 0.449700 | − | 1.43344i | 0.0203361 | − | 0.0648226i | ||||
\(490\) | 9.11474 | − | 5.72019i | 0.411762 | − | 0.258412i | ||||
\(491\) | −0.979328 | + | 1.69625i | −0.0441965 | + | 0.0765505i | −0.887277 | − | 0.461236i | \(-0.847406\pi\) |
0.843081 | + | 0.537787i | \(0.180739\pi\) | |||||||
\(492\) | 13.2578 | + | 22.6987i | 0.597708 | + | 1.02334i | ||||
\(493\) | −12.8568 | −0.579040 | ||||||||
\(494\) | 9.65811 | + | 7.05496i | 0.434539 | + | 0.317418i | ||||
\(495\) | 4.88638 | + | 0.413360i | 0.219627 | + | 0.0185792i | ||||
\(496\) | −1.36213 | + | 2.97679i | −0.0611613 | + | 0.133662i | ||||
\(497\) | −26.6742 | + | 18.0796i | −1.19650 | + | 0.810983i | ||||
\(498\) | −9.47932 | + | 6.99777i | −0.424778 | + | 0.313578i | ||||
\(499\) | − | 27.4334i | − | 1.22809i | −0.789272 | − | 0.614043i | \(-0.789542\pi\) | ||
0.789272 | − | 0.614043i | \(-0.210458\pi\) | |||||||
\(500\) | −18.2634 | + | 5.83070i | −0.816765 | + | 0.260757i | ||||
\(501\) | 1.69624 | + | 7.59958i | 0.0757825 | + | 0.339524i | ||||
\(502\) | −4.45949 | + | 6.10496i | −0.199037 | + | 0.272478i | ||||
\(503\) | −25.0298 | −1.11602 | −0.558011 | − | 0.829834i | \(-0.688435\pi\) | ||||
−0.558011 | + | 0.829834i | \(0.688435\pi\) | |||||||
\(504\) | −4.22701 | − | 22.0484i | −0.188286 | − | 0.982114i | ||||
\(505\) | 2.24120 | 0.0997321 | ||||||||
\(506\) | −4.07880 | + | 5.58380i | −0.181325 | + | 0.248230i | ||||
\(507\) | −4.72204 | − | 1.48140i | −0.209713 | − | 0.0657912i | ||||
\(508\) | 1.78200 | − | 0.568913i | 0.0790634 | − | 0.0252415i | ||||
\(509\) | 25.8454i | 1.14558i | 0.819703 | + | 0.572789i | \(0.194139\pi\) | ||||
−0.819703 | + | 0.572789i | \(0.805861\pi\) | |||||||
\(510\) | −15.2277 | − | 6.64164i | −0.674293 | − | 0.294097i | ||||
\(511\) | 1.53535 | + | 21.2673i | 0.0679200 | + | 0.940810i | ||||
\(512\) | 12.8738 | + | 18.6082i | 0.568948 | + | 0.822374i | ||||
\(513\) | 12.7709 | + | 5.22552i | 0.563849 | + | 0.230712i | ||||
\(514\) | 2.51227 | + | 1.83514i | 0.110812 | + | 0.0809446i | ||||
\(515\) | −3.18351 | −0.140282 | ||||||||
\(516\) | 15.8033 | − | 0.0795150i | 0.695703 | − | 0.00350045i | ||||
\(517\) | −10.2417 | + | 17.7391i | −0.450428 | + | 0.780164i | ||||
\(518\) | 28.8090 | − | 15.3066i | 1.26580 | − | 0.672531i | ||||
\(519\) | −33.6226 | + | 7.50464i | −1.47587 | + | 0.329417i | ||||
\(520\) | −6.49577 | − | 7.32693i | −0.284859 | − | 0.321307i | ||||
\(521\) | −22.8154 | − | 13.1725i | −0.999562 | − | 0.577097i | −0.0914433 | − | 0.995810i | \(-0.529148\pi\) |
−0.908119 | + | 0.418713i | \(0.862481\pi\) | |||||||
\(522\) | −8.58235 | − | 1.66550i | −0.375639 | − | 0.0728972i | ||||
\(523\) | 15.0902 | − | 8.71233i | 0.659848 | − | 0.380964i | −0.132371 | − | 0.991200i | \(-0.542259\pi\) |
0.792219 | + | 0.610237i | \(0.208926\pi\) | |||||||
\(524\) | 4.89011 | + | 15.3172i | 0.213625 | + | 0.669136i | ||||
\(525\) | −4.02199 | + | 17.0295i | −0.175534 | + | 0.743228i | ||||
\(526\) | −5.21635 | + | 7.14109i | −0.227444 | + | 0.311366i | ||||
\(527\) | 5.10627 | 0.222433 | ||||||||
\(528\) | −2.16710 | + | 10.1904i | −0.0943110 | + | 0.443480i | ||||
\(529\) | −12.4273 | −0.540316 | ||||||||
\(530\) | −0.492874 | − | 1.11470i | −0.0214091 | − | 0.0484196i | ||||
\(531\) | −6.49692 | + | 3.05232i | −0.281942 | + | 0.132459i | ||||
\(532\) | −13.9094 | − | 1.99566i | −0.603049 | − | 0.0865228i | ||||
\(533\) | 20.9294 | − | 12.0836i | 0.906551 | − | 0.523398i | ||||
\(534\) | 9.92697 | + | 13.4473i | 0.429582 | + | 0.581920i | ||||
\(535\) | 10.3154 | − | 5.95562i | 0.445975 | − | 0.257484i | ||||
\(536\) | −25.4805 | + | 5.21138i | −1.10059 | + | 0.225097i | ||||
\(537\) | −1.39861 | − | 6.26609i | −0.0603543 | − | 0.270402i | ||||
\(538\) | −11.5258 | + | 5.09622i | −0.496913 | + | 0.219714i | ||||
\(539\) | −3.89914 | + | 9.77744i | −0.167948 | + | 0.421144i | ||||
\(540\) | −9.30464 | − | 6.40617i | −0.400408 | − | 0.275678i | ||||
\(541\) | −9.52540 | − | 16.4985i | −0.409529 | − | 0.709325i | 0.585308 | − | 0.810811i | \(-0.300974\pi\) |
−0.994837 | + | 0.101486i | \(0.967640\pi\) | |||||||
\(542\) | 0.380008 | − | 3.52842i | 0.0163227 | − | 0.151559i | ||||
\(543\) | 26.1644 | − | 24.0445i | 1.12282 | − | 1.03185i | ||||
\(544\) | 18.0380 | − | 30.3372i | 0.773374 | − | 1.30070i | ||||
\(545\) | 13.7032 | + | 7.91154i | 0.586980 | + | 0.338893i | ||||
\(546\) | −20.2898 | + | 3.78411i | −0.868322 | + | 0.161945i | ||||
\(547\) | 4.36785 | − | 2.52178i | 0.186756 | − | 0.107824i | −0.403707 | − | 0.914888i | \(-0.632279\pi\) |
0.590463 | + | 0.807065i | \(0.298945\pi\) | |||||||
\(548\) | −31.1578 | + | 9.94731i | −1.33100 | + | 0.424928i | ||||
\(549\) | 11.6369 | + | 8.09853i | 0.496651 | + | 0.345637i | ||||
\(550\) | 4.78980 | − | 6.55714i | 0.204238 | − | 0.279598i | ||||
\(551\) | −2.73604 | + | 4.73895i | −0.116559 | + | 0.201886i | ||||
\(552\) | 14.5362 | − | 6.51493i | 0.618702 | − | 0.277294i | ||||
\(553\) | 38.0775 | − | 2.74893i | 1.61922 | − | 0.116897i | ||||
\(554\) | −24.6916 | + | 33.8023i | −1.04904 | + | 1.43612i | ||||
\(555\) | 4.91379 | − | 15.6630i | 0.208579 | − | 0.664856i | ||||
\(556\) | 9.86176 | − | 45.2528i | 0.418232 | − | 1.91915i | ||||
\(557\) | 13.8266 | + | 7.98281i | 0.585853 | + | 0.338242i | 0.763456 | − | 0.645860i | \(-0.223501\pi\) |
−0.177603 | + | 0.984102i | \(0.556834\pi\) | |||||||
\(558\) | 3.40862 | + | 0.661481i | 0.144298 | + | 0.0280027i | ||||
\(559\) | − | 14.5292i | − | 0.614518i | ||||||
\(560\) | 10.7784 | + | 4.02104i | 0.455469 | + | 0.169920i | ||||
\(561\) | 15.8604 | − | 3.54007i | 0.669625 | − | 0.149462i | ||||
\(562\) | 3.69285 | − | 34.2886i | 0.155773 | − | 1.44638i | ||||
\(563\) | 8.34543 | + | 14.4547i | 0.351718 | + | 0.609193i | 0.986551 | − | 0.163457i | \(-0.0522643\pi\) |
−0.634833 | + | 0.772650i | \(0.718931\pi\) | |||||||
\(564\) | 40.7453 | − | 23.7985i | 1.71569 | − | 1.00210i | ||||
\(565\) | −8.21586 | + | 14.2303i | −0.345644 | + | 0.598673i | ||||
\(566\) | 2.31050 | − | 21.4533i | 0.0971177 | − | 0.901750i | ||||
\(567\) | −21.6749 | + | 9.85885i | −0.910262 | + | 0.414033i | ||||
\(568\) | −32.6800 | − | 10.8972i | −1.37122 | − | 0.457236i | ||||
\(569\) | −29.4117 | − | 16.9809i | −1.23300 | − | 0.711874i | −0.265348 | − | 0.964153i | \(-0.585487\pi\) |
−0.967655 | + | 0.252278i | \(0.918820\pi\) | |||||||
\(570\) | −5.68867 | + | 4.19946i | −0.238272 | + | 0.175896i | ||||
\(571\) | 27.0967 | − | 15.6443i | 1.13396 | − | 0.654692i | 0.189032 | − | 0.981971i | \(-0.439465\pi\) |
0.944928 | + | 0.327279i | \(0.106132\pi\) | |||||||
\(572\) | 9.35852 | + | 2.03946i | 0.391299 | + | 0.0852743i | ||||
\(573\) | −6.16927 | − | 27.6398i | −0.257725 | − | 1.15467i | ||||
\(574\) | −15.0535 | + | 24.0740i | −0.628321 | + | 1.00483i | ||||
\(575\) | −12.4157 | −0.517772 | ||||||||
\(576\) | 15.9710 | − | 17.9145i | 0.665458 | − | 0.746435i | ||||
\(577\) | 10.1541 | − | 17.5874i | 0.422720 | − | 0.732172i | −0.573485 | − | 0.819216i | \(-0.694409\pi\) |
0.996204 | + | 0.0870440i | \(0.0277421\pi\) | |||||||
\(578\) | −30.8334 | − | 3.32073i | −1.28250 | − | 0.138124i | ||||
\(579\) | −19.0186 | − | 5.96652i | −0.790386 | − | 0.247960i | ||||
\(580\) | 3.01468 | − | 3.31378i | 0.125178 | − | 0.137597i | ||||
\(581\) | −11.4511 | − | 5.55313i | −0.475070 | − | 0.230383i | ||||
\(582\) | 26.3915 | − | 19.4826i | 1.09396 | − | 0.807580i | ||||
\(583\) | 1.03249 | + | 0.596108i | 0.0427613 | + | 0.0246883i | ||||
\(584\) | −17.0568 | + | 15.1219i | −0.705815 | + | 0.625748i | ||||
\(585\) | −5.93256 | + | 8.52459i | −0.245281 | + | 0.352448i | ||||
\(586\) | −15.5394 | + | 6.87087i | −0.641927 | + | 0.283833i | ||||
\(587\) | −4.77427 | − | 8.26929i | −0.197055 | − | 0.341310i | 0.750517 | − | 0.660851i | \(-0.229805\pi\) |
−0.947572 | + | 0.319541i | \(0.896471\pi\) | |||||||
\(588\) | 18.9649 | − | 15.1106i | 0.782101 | − | 0.623152i | ||||
\(589\) | 1.08666 | − | 1.88215i | 0.0447750 | − | 0.0775526i | ||||
\(590\) | 0.393874 | − | 3.65717i | 0.0162155 | − | 0.150563i | ||||
\(591\) | 13.6403 | + | 14.8429i | 0.561088 | + | 0.610557i | ||||
\(592\) | 31.7129 | + | 14.5113i | 1.30339 | + | 0.596411i | ||||
\(593\) | −9.29829 | + | 5.36837i | −0.381835 | + | 0.220453i | −0.678616 | − | 0.734493i | \(-0.737420\pi\) |
0.296781 | + | 0.954945i | \(0.404087\pi\) | |||||||
\(594\) | 11.0459 | − | 0.308524i | 0.453220 | − | 0.0126589i | ||||
\(595\) | −1.29208 | − | 17.8976i | −0.0529702 | − | 0.733729i | ||||
\(596\) | 16.7136 | − | 5.33592i | 0.684617 | − | 0.218568i | ||||
\(597\) | −27.6133 | + | 6.16334i | −1.13014 | + | 0.252249i | ||||
\(598\) | −5.92226 | − | 13.3940i | −0.242179 | − | 0.547722i | ||||
\(599\) | −14.8707 | − | 25.7568i | −0.607600 | − | 1.05239i | −0.991635 | − | 0.129076i | \(-0.958799\pi\) |
0.384035 | − | 0.923319i | \(-0.374534\pi\) | |||||||
\(600\) | −17.0701 | + | 7.65059i | −0.696884 | + | 0.312334i | ||||
\(601\) | 18.4639 | + | 31.9804i | 0.753159 | + | 1.30451i | 0.946284 | + | 0.323336i | \(0.104804\pi\) |
−0.193125 | + | 0.981174i | \(0.561862\pi\) | |||||||
\(602\) | 8.00908 | + | 15.0742i | 0.326426 | + | 0.614378i | ||||
\(603\) | 11.7300 | + | 24.9675i | 0.477681 | + | 1.01675i | ||||
\(604\) | −17.5779 | + | 5.61185i | −0.715236 | + | 0.228343i | ||||
\(605\) | 9.49923i | 0.386199i | ||||||||
\(606\) | 5.01847 | − | 0.566042i | 0.203862 | − | 0.0229939i | ||||
\(607\) | 28.5591i | 1.15918i | 0.814909 | + | 0.579589i | \(0.196787\pi\) | ||||
−0.814909 | + | 0.579589i | \(0.803213\pi\) | |||||||
\(608\) | −7.34351 | − | 13.1048i | −0.297819 | − | 0.531468i | ||||
\(609\) | −2.71535 | − | 9.04412i | −0.110031 | − | 0.366486i | ||||
\(610\) | −6.64447 | + | 2.93790i | −0.269027 | + | 0.118952i | ||||
\(611\) | −21.6907 | − | 37.5693i | −0.877510 | − | 1.51989i | ||||
\(612\) | −35.7751 | − | 11.0260i | −1.44612 | − | 0.445698i | ||||
\(613\) | 0.0951404 | − | 0.164788i | 0.00384268 | − | 0.00665572i | −0.864098 | − | 0.503324i | \(-0.832110\pi\) |
0.867940 | + | 0.496668i | \(0.165443\pi\) | |||||||
\(614\) | −29.7683 | − | 21.7449i | −1.20135 | − | 0.877551i | ||||
\(615\) | 3.11236 | + | 13.9441i | 0.125502 | + | 0.562281i | ||||
\(616\) | −10.8338 | + | 3.04283i | −0.436507 | + | 0.122599i | ||||
\(617\) | −18.7268 | − | 10.8120i | −0.753915 | − | 0.435273i | 0.0731920 | − | 0.997318i | \(-0.476681\pi\) |
−0.827107 | + | 0.562045i | \(0.810015\pi\) | |||||||
\(618\) | −7.12849 | + | 0.804035i | −0.286750 | + | 0.0323430i | ||||
\(619\) | − | 6.60974i | − | 0.265668i | −0.991138 | − | 0.132834i | \(-0.957592\pi\) | ||
0.991138 | − | 0.132834i | \(-0.0424077\pi\) | |||||||
\(620\) | −1.19733 | + | 1.31612i | −0.0480857 | + | 0.0528566i | ||||
\(621\) | −10.3431 | − | 13.3598i | −0.415055 | − | 0.536110i | ||||
\(622\) | −7.28169 | − | 0.784232i | −0.291969 | − | 0.0314448i | ||||
\(623\) | −7.87761 | + | 16.2444i | −0.315610 | + | 0.650816i | ||||
\(624\) | −16.3958 | − | 14.7658i | −0.656356 | − | 0.591105i | ||||
\(625\) | 8.67188 | 0.346875 | ||||||||
\(626\) | −6.61663 | − | 14.9644i | −0.264454 | − | 0.598098i | ||||
\(627\) | 2.07037 | − | 6.59942i | 0.0826826 | − | 0.263555i | ||||
\(628\) | −6.11737 | + | 6.72431i | −0.244110 | + | 0.268329i | ||||
\(629\) | − | 54.3992i | − | 2.16904i | ||||||
\(630\) | 1.45599 | − | 12.1146i | 0.0580082 | − | 0.482659i | ||||
\(631\) | 10.8732i | 0.432854i | 0.976299 | + | 0.216427i | \(0.0694403\pi\) | ||||
−0.976299 | + | 0.216427i | \(0.930560\pi\) | |||||||
\(632\) | 27.0746 | + | 30.5389i | 1.07697 | + | 1.21477i | ||||
\(633\) | 37.9338 | − | 8.46690i | 1.50773 | − | 0.336529i | ||||
\(634\) | −30.3947 | + | 13.4392i | −1.20713 | + | 0.533741i | ||||
\(635\) | 1.01670 | 0.0403465 | ||||||||
\(636\) | −1.38517 | − | 2.37155i | −0.0549256 | − | 0.0940380i | ||||
\(637\) | −13.8042 | − | 17.5053i | −0.546944 | − | 0.693586i | ||||
\(638\) | −0.469241 | + | 4.35696i | −0.0185774 | + | 0.172494i | ||||
\(639\) | −3.07996 | + | 36.4086i | −0.121841 | + | 1.44030i | ||||
\(640\) | 3.58970 | + | 11.7627i | 0.141895 | + | 0.464963i | ||||
\(641\) | − | 26.1971i | − | 1.03472i | −0.855767 | − | 0.517362i | \(-0.826914\pi\) | ||
0.855767 | − | 0.517362i | \(-0.173086\pi\) | |||||||
\(642\) | 21.5941 | − | 15.9411i | 0.852249 | − | 0.629143i | ||||
\(643\) | −19.2089 | − | 11.0902i | −0.757524 | − | 0.437356i | 0.0708823 | − | 0.997485i | \(-0.477419\pi\) |
−0.828406 | + | 0.560128i | \(0.810752\pi\) | |||||||
\(644\) | 13.5278 | + | 10.6319i | 0.533068 | + | 0.418954i | ||||
\(645\) | 8.19557 | + | 2.57112i | 0.322700 | + | 0.101238i | ||||
\(646\) | −13.8214 | + | 18.9212i | −0.543795 | + | 0.744446i | ||||
\(647\) | −2.18326 | + | 3.78151i | −0.0858327 | + | 0.148667i | −0.905746 | − | 0.423822i | \(-0.860688\pi\) |
0.819913 | + | 0.572488i | \(0.194022\pi\) | |||||||
\(648\) | −22.4528 | − | 11.9946i | −0.882030 | − | 0.471194i | ||||
\(649\) | 1.79904 | + | 3.11602i | 0.0706183 | + | 0.122315i | ||||
\(650\) | 6.95461 | + | 15.7288i | 0.272782 | + | 0.616934i | ||||
\(651\) | 1.07844 | + | 3.59201i | 0.0422675 | + | 0.140782i | ||||
\(652\) | 1.28319 | + | 1.16737i | 0.0502536 | + | 0.0457176i | ||||
\(653\) | − | 35.0173i | − | 1.37033i | −0.728387 | − | 0.685166i | \(-0.759730\pi\) | ||
0.728387 | − | 0.685166i | \(-0.240270\pi\) | |||||||
\(654\) | 32.6822 | + | 14.2545i | 1.27798 | + | 0.557397i | ||||
\(655\) | 8.73907i | 0.341464i | ||||||||
\(656\) | −30.2181 | + | 2.86282i | −1.17982 | + | 0.111774i | ||||
\(657\) | 19.8449 | + | 13.8107i | 0.774223 | + | 0.538809i | ||||
\(658\) | 43.2141 | + | 27.0219i | 1.68466 | + | 1.05342i | ||||
\(659\) | −13.6116 | − | 23.5760i | −0.530233 | − | 0.918390i | −0.999378 | − | 0.0352689i | \(-0.988771\pi\) |
0.469145 | − | 0.883121i | \(-0.344562\pi\) | |||||||
\(660\) | −2.80652 | + | 4.91802i | −0.109244 | + | 0.191434i | ||||
\(661\) | 7.61931 | + | 13.1970i | 0.296357 | + | 0.513305i | 0.975300 | − | 0.220886i | \(-0.0708949\pi\) |
−0.678943 | + | 0.734191i | \(0.737562\pi\) | |||||||
\(662\) | −19.5917 | + | 8.66261i | −0.761452 | + | 0.336682i | ||||
\(663\) | −10.3022 | + | 32.8388i | −0.400105 | + | 1.27536i | ||||
\(664\) | −2.72616 | − | 13.3293i | −0.105796 | − | 0.517277i | ||||
\(665\) | −6.87194 | − | 3.33251i | −0.266482 | − | 0.129229i | ||||
\(666\) | 7.04703 | − | 36.3134i | 0.273067 | − | 1.40712i | ||||
\(667\) | 5.80259 | − | 3.35013i | 0.224677 | − | 0.129717i | ||||
\(668\) | −8.78498 | − | 1.91448i | −0.339901 | − | 0.0740733i | ||||
\(669\) | 9.20339 | − | 29.3363i | 0.355824 | − | 1.13421i | ||||
\(670\) | −14.0544 | − | 1.51365i | −0.542968 | − | 0.0584772i | ||||
\(671\) | 3.55325 | − | 6.15441i | 0.137172 | − | 0.237589i | ||||
\(672\) | 25.1504 | + | 6.28167i | 0.970196 | + | 0.242321i | ||||
\(673\) | −6.84127 | − | 11.8494i | −0.263712 | − | 0.456762i | 0.703514 | − | 0.710682i | \(-0.251613\pi\) |
−0.967225 | + | 0.253920i | \(0.918280\pi\) | |||||||
\(674\) | 15.1587 | + | 34.2834i | 0.583891 | + | 1.32055i | ||||
\(675\) | 12.1461 | + | 15.6886i | 0.467503 | + | 0.603855i | ||||
\(676\) | 3.84553 | − | 4.22707i | 0.147905 | − | 0.162580i | ||||
\(677\) | 34.2732 | + | 19.7876i | 1.31723 | + | 0.760500i | 0.983281 | − | 0.182092i | \(-0.0582870\pi\) |
0.333944 | + | 0.942593i | \(0.391620\pi\) | |||||||
\(678\) | −14.8028 | + | 33.9393i | −0.568500 | + | 1.30343i | ||||
\(679\) | 31.8811 | + | 15.4605i | 1.22348 | + | 0.593321i | ||||
\(680\) | 14.3542 | − | 12.7259i | 0.550459 | − | 0.488016i | ||||
\(681\) | 17.0737 | − | 15.6903i | 0.654264 | − | 0.601254i | ||||
\(682\) | 0.186366 | − | 1.73043i | 0.00713634 | − | 0.0662618i | ||||
\(683\) | 11.3382 | − | 19.6384i | 0.433846 | − | 0.751443i | −0.563355 | − | 0.826215i | \(-0.690490\pi\) |
0.997201 | + | 0.0747721i | \(0.0238229\pi\) | |||||||
\(684\) | −11.6774 | + | 10.8401i | −0.446496 | + | 0.414483i | ||||
\(685\) | −17.7768 | −0.679215 | ||||||||
\(686\) | 23.9717 | + | 10.5525i | 0.915245 | + | 0.402897i | ||||
\(687\) | 16.6701 | − | 15.3194i | 0.636002 | − | 0.584472i | ||||
\(688\) | −7.59297 | + | 16.5936i | −0.289479 | + | 0.632627i | ||||
\(689\) | −2.18669 | + | 1.26249i | −0.0833063 | + | 0.0480969i | ||||
\(690\) | 8.60327 | − | 0.970379i | 0.327521 | − | 0.0369417i | ||||
\(691\) | 18.2462 | + | 10.5344i | 0.694117 | + | 0.400749i | 0.805152 | − | 0.593068i | \(-0.202083\pi\) |
−0.111036 | + | 0.993816i | \(0.535417\pi\) | |||||||
\(692\) | 8.47017 | − | 38.8672i | 0.321987 | − | 1.47751i | ||||
\(693\) | 5.83996 | + | 10.4093i | 0.221842 | + | 0.395418i | ||||
\(694\) | −29.1175 | − | 3.13593i | −1.10529 | − | 0.119038i | ||||
\(695\) | 12.5864 | − | 21.8002i | 0.477428 | − | 0.826930i | ||||
\(696\) | 5.91350 | − | 8.18158i | 0.224151 | − | 0.310122i | ||||
\(697\) | 23.6730 | + | 41.0028i | 0.896677 | + | 1.55309i | ||||
\(698\) | 6.14030 | + | 0.661305i | 0.232414 | + | 0.0250308i | ||||
\(699\) | −3.03708 | + | 9.68086i | −0.114873 | + | 0.366164i | ||||
\(700\) | −15.8859 | − | 12.4852i | −0.600429 | − | 0.471895i | ||||
\(701\) | 20.6957i | 0.781667i | 0.920461 | + | 0.390833i | \(0.127813\pi\) | ||||
−0.920461 | + | 0.390833i | \(0.872187\pi\) | |||||||
\(702\) | −11.1311 | + | 20.5865i | −0.420117 | + | 0.776988i | ||||
\(703\) | −20.0513 | − | 11.5766i | −0.756250 | − | 0.436621i | ||||
\(704\) | −9.62246 | − | 7.22004i | −0.362660 | − | 0.272115i | ||||
\(705\) | 25.0304 | − | 5.58685i | 0.942701 | − | 0.210413i | ||||
\(706\) | 4.11840 | + | 3.00837i | 0.154998 | + | 0.113221i | ||||
\(707\) | 3.06055 | + | 4.51546i | 0.115104 | + | 0.169821i | ||||
\(708\) | −0.0417043 | − | 8.28857i | −0.00156734 | − | 0.311504i | ||||
\(709\) | 10.6004 | − | 18.3605i | 0.398108 | − | 0.689543i | −0.595385 | − | 0.803441i | \(-0.703000\pi\) |
0.993492 | + | 0.113898i | \(0.0363336\pi\) | |||||||
\(710\) | −15.1193 | − | 11.0442i | −0.567417 | − | 0.414481i | ||||
\(711\) | 24.7271 | − | 35.5308i | 0.927339 | − | 1.33251i | ||||
\(712\) | −18.9088 | + | 3.86730i | −0.708636 | + | 0.144933i | ||||
\(713\) | −2.30459 | + | 1.33056i | −0.0863076 | + | 0.0498297i | ||||
\(714\) | −7.41347 | − | 39.7497i | −0.277442 | − | 1.48760i | ||||
\(715\) | 4.50840 | + | 2.60293i | 0.168605 | + | 0.0973439i | ||||
\(716\) | 7.24350 | + | 1.57855i | 0.270702 | + | 0.0589930i | ||||
\(717\) | 3.23497 | + | 14.4934i | 0.120812 | + | 0.541267i | ||||
\(718\) | −24.5922 | − | 2.64856i | −0.917772 | − | 0.0988433i | ||||
\(719\) | 8.43001 | + | 14.6012i | 0.314386 | + | 0.544533i | 0.979307 | − | 0.202381i | \(-0.0648680\pi\) |
−0.664921 | + | 0.746914i | \(0.731535\pi\) | |||||||
\(720\) | 11.2305 | − | 6.63550i | 0.418536 | − | 0.247290i | ||||
\(721\) | −4.34736 | − | 6.41399i | −0.161904 | − | 0.238869i | ||||
\(722\) | −6.83305 | − | 15.4539i | −0.254300 | − | 0.575133i | ||||
\(723\) | −3.53972 | + | 3.25292i | −0.131643 | + | 0.120977i | ||||
\(724\) | 12.4791 | + | 39.0882i | 0.463784 | + | 1.45270i | ||||
\(725\) | −6.81408 | + | 3.93411i | −0.253069 | + | 0.146109i | ||||
\(726\) | 2.39915 | + | 21.2706i | 0.0890407 | + | 0.789425i | ||||
\(727\) | 6.79800 | − | 3.92483i | 0.252124 | − | 0.145564i | −0.368613 | − | 0.929583i | \(-0.620167\pi\) |
0.620736 | + | 0.784019i | \(0.286834\pi\) | |||||||
\(728\) | 5.89140 | − | 23.0929i | 0.218350 | − | 0.855881i | ||||
\(729\) | −6.76307 | + | 26.1393i | −0.250484 | + | 0.968121i | ||||
\(730\) | −11.3311 | + | 5.01012i | −0.419382 | + | 0.185433i | ||||
\(731\) | 28.4641 | 1.05278 | ||||||||
\(732\) | −14.1362 | + | 8.25666i | −0.522490 | + | 0.305175i | ||||
\(733\) | −2.77974 | −0.102672 | −0.0513360 | − | 0.998681i | \(-0.516348\pi\) | ||||
−0.0513360 | + | 0.998681i | \(0.516348\pi\) | |||||||
\(734\) | 1.41846 | + | 1.03614i | 0.0523563 | + | 0.0382447i | ||||
\(735\) | 12.3172 | − | 4.68888i | 0.454326 | − | 0.172952i | ||||
\(736\) | −0.235970 | + | 18.3922i | −0.00869797 | + | 0.677944i | ||||
\(737\) | 11.9748 | − | 6.91364i | 0.441097 | − | 0.254667i | ||||
\(738\) | 10.4909 | + | 30.4375i | 0.386176 | + | 1.12042i | ||||
\(739\) | 31.6800 | + | 18.2905i | 1.16537 | + | 0.672826i | 0.952585 | − | 0.304273i | \(-0.0984135\pi\) |
0.212784 | + | 0.977099i | \(0.431747\pi\) | |||||||
\(740\) | 14.0212 | + | 12.7556i | 0.515428 | + | 0.468905i | ||||
\(741\) | 9.91186 | + | 10.7857i | 0.364121 | + | 0.396224i | ||||
\(742\) | 1.57279 | − | 2.51524i | 0.0577388 | − | 0.0923374i | ||||
\(743\) | −11.7085 | + | 20.2798i | −0.429545 | + | 0.743993i | −0.996833 | − | 0.0795261i | \(-0.974659\pi\) |
0.567288 | + | 0.823519i | \(0.307993\pi\) | |||||||
\(744\) | −2.34864 | + | 3.24944i | −0.0861052 | + | 0.119130i | ||||
\(745\) | 9.53577 | 0.349364 | ||||||||
\(746\) | −1.35874 | + | 1.86009i | −0.0497471 | + | 0.0681028i | ||||
\(747\) | −13.0609 | + | 6.13615i | −0.477873 | + | 0.224510i | ||||
\(748\) | −3.99552 | + | 18.3343i | −0.146091 | + | 0.670368i | ||||
\(749\) | 26.0857 | + | 12.6501i | 0.953151 | + | 0.462225i | ||||
\(750\) | −23.3324 | + | 2.63170i | −0.851977 | + | 0.0960960i | ||||
\(751\) | 19.1395i | 0.698409i | 0.937047 | + | 0.349205i | \(0.113548\pi\) | ||||
−0.937047 | + | 0.349205i | \(0.886452\pi\) | |||||||
\(752\) | 5.13891 | + | 54.2432i | 0.187397 | + | 1.97805i | ||||
\(753\) | −6.81775 | + | 6.26536i | −0.248453 | + | 0.228322i | ||||
\(754\) | −7.49438 | − | 5.47442i | −0.272929 | − | 0.199367i | ||||
\(755\) | −10.0289 | −0.364989 | ||||||||
\(756\) | 0.200545 | − | 27.4947i | 0.00729375 | − | 0.999973i | ||||
\(757\) | −18.7437 | −0.681252 | −0.340626 | − | 0.940199i | \(-0.610639\pi\) | ||||
−0.340626 | + | 0.940199i | \(0.610639\pi\) | |||||||
\(758\) | −34.6839 | − | 25.3356i | −1.25978 | − | 0.920230i | ||||
\(759\) | −6.23574 | + | 5.73050i | −0.226343 | + | 0.208004i | ||||
\(760\) | −1.63601 | − | 7.99908i | −0.0593442 | − | 0.290157i | ||||
\(761\) | − | 20.8438i | − | 0.755588i | −0.925890 | − | 0.377794i | \(-0.876683\pi\) | ||
0.925890 | − | 0.377794i | \(-0.123317\pi\) | |||||||
\(762\) | 2.27659 | − | 0.256780i | 0.0824720 | − | 0.00930216i | ||||
\(763\) | 2.77311 | + | 38.4124i | 0.100393 | + | 1.39062i | ||||
\(764\) | 31.9512 | + | 6.96299i | 1.15595 | + | 0.251912i | ||||
\(765\) | −16.7005 | − | 11.6225i | −0.603810 | − | 0.420212i | ||||
\(766\) | −22.2029 | + | 30.3953i | −0.802222 | + | 1.09823i | ||||
\(767\) | −7.62030 | −0.275153 | ||||||||
\(768\) | 11.0088 | + | 25.4324i | 0.397247 | + | 0.917712i | ||||
\(769\) | −7.95585 | + | 13.7799i | −0.286895 | + | 0.496917i | −0.973067 | − | 0.230522i | \(-0.925957\pi\) |
0.686172 | + | 0.727440i | \(0.259290\pi\) | |||||||
\(770\) | −6.11237 | − | 0.215351i | −0.220274 | − | 0.00776072i | ||||
\(771\) | 2.57828 | + | 2.80560i | 0.0928545 | + | 0.101041i | ||||
\(772\) | 15.4884 | − | 17.0251i | 0.557439 | − | 0.612745i | ||||
\(773\) | −11.4250 | − | 6.59625i | −0.410930 | − | 0.237251i | 0.280259 | − | 0.959924i | \(-0.409580\pi\) |
−0.691189 | + | 0.722674i | \(0.742913\pi\) | |||||||
\(774\) | 19.0008 | + | 3.68733i | 0.682970 | + | 0.132538i | ||||
\(775\) | 2.70632 | − | 1.56249i | 0.0972138 | − | 0.0561264i | ||||
\(776\) | 7.58994 | + | 37.1102i | 0.272463 | + | 1.33218i | ||||
\(777\) | 38.2672 | − | 11.4891i | 1.37283 | − | 0.412169i | ||||
\(778\) | 32.7259 | + | 23.9053i | 1.17328 | + | 0.857045i | ||||
\(779\) | 20.1513 | 0.721994 | ||||||||
\(780\) | −6.04840 | − | 10.3555i | −0.216567 | − | 0.370785i | ||||
\(781\) | 18.3150 | 0.655361 | ||||||||
\(782\) | 26.2402 | − | 11.6023i | 0.938349 | − | 0.414898i | ||||
\(783\) | −9.90981 | − | 4.05483i | −0.354148 | − | 0.144908i | ||||
\(784\) | 6.61739 | + | 27.2068i | 0.236335 | + | 0.971672i | ||||
\(785\) | −4.27889 | + | 2.47042i | −0.152720 | + | 0.0881731i | ||||
\(786\) | 2.20716 | + | 19.5684i | 0.0787268 | + | 0.697983i | ||||
\(787\) | 19.5029 | − | 11.2600i | 0.695202 | − | 0.401375i | −0.110356 | − | 0.993892i | \(-0.535199\pi\) |
0.805558 | + | 0.592517i | \(0.201866\pi\) | |||||||
\(788\) | −22.1746 | + | 7.07936i | −0.789936 | + | 0.252192i | ||||
\(789\) | −7.97485 | + | 7.32870i | −0.283912 | + | 0.260909i | ||||
\(790\) | 8.97025 | + | 20.2874i | 0.319147 | + | 0.721795i | ||||
\(791\) | −39.8900 | + | 2.87978i | −1.41832 | + | 0.102393i | ||||
\(792\) | −5.04223 | + | 11.7212i | −0.179168 | + | 0.416495i | ||||
\(793\) | 7.52537 | + | 13.0343i | 0.267234 | + | 0.462863i | ||||
\(794\) | 36.5765 | + | 3.93925i | 1.29805 | + | 0.139799i | ||||
\(795\) | −0.325178 | − | 1.45688i | −0.0115329 | − | 0.0516701i | ||||
\(796\) | 6.95630 | − | 31.9204i | 0.246559 | − | 1.13139i | ||||
\(797\) | 25.0813 | + | 14.4807i | 0.888424 | + | 0.512932i | 0.873427 | − | 0.486956i | \(-0.161893\pi\) |
0.0149975 | + | 0.999888i | \(0.495226\pi\) | |||||||
\(798\) | −16.2292 | − | 5.72652i | −0.574509 | − | 0.202717i | ||||
\(799\) | 73.6021 | − | 42.4942i | 2.60386 | − | 1.50334i | ||||
\(800\) | 0.277103 | − | 21.5982i | 0.00979708 | − | 0.763612i | ||||
\(801\) | 8.70467 | + | 18.5281i | 0.307564 | + | 0.654657i | ||||
\(802\) | −24.7937 | − | 18.1111i | −0.875496 | − | 0.639524i | ||||
\(803\) | 6.05951 | − | 10.4954i | 0.213835 | − | 0.370374i | ||||
\(804\) | −31.8527 | + | 0.160268i | −1.12336 | + | 0.00565222i | ||||
\(805\) | 5.24677 | + | 7.74095i | 0.184924 | + | 0.272833i | ||||
\(806\) | 2.97651 | + | 2.17425i | 0.104843 | + | 0.0765847i | ||||
\(807\) | −15.0638 | + | 3.36228i | −0.530272 | + | 0.118358i | ||||
\(808\) | −1.84469 | + | 5.53212i | −0.0648961 | + | 0.194619i | ||||
\(809\) | −6.13234 | − | 3.54051i | −0.215601 | − | 0.124478i | 0.388310 | − | 0.921529i | \(-0.373059\pi\) |
−0.603912 | + | 0.797051i | \(0.706392\pi\) | |||||||
\(810\) | −9.64260 | − | 9.92186i | −0.338806 | − | 0.348619i | ||||
\(811\) | − | 50.7206i | − | 1.78104i | −0.454943 | − | 0.890521i | \(-0.650340\pi\) | ||
0.454943 | − | 0.890521i | \(-0.349660\pi\) | |||||||
\(812\) | 10.7932 | + | 1.54857i | 0.378769 | + | 0.0543441i | ||||
\(813\) | 1.30103 | − | 4.14711i | 0.0456292 | − | 0.145446i | ||||
\(814\) | −18.4350 | − | 1.98544i | −0.646148 | − | 0.0695896i | ||||
\(815\) | 0.471426 | + | 0.816534i | 0.0165133 | + | 0.0286019i | ||||
\(816\) | 28.9277 | − | 32.1210i | 1.01267 | − | 1.12446i | ||||
\(817\) | 6.05742 | − | 10.4918i | 0.211922 | − | 0.367060i | ||||
\(818\) | 35.9808 | + | 3.87510i | 1.25804 | + | 0.135490i | ||||
\(819\) | −25.2764 | − | 0.311555i | −0.883227 | − | 0.0108866i | ||||
\(820\) | −16.1192 | − | 3.51278i | −0.562905 | − | 0.122672i | ||||
\(821\) | −11.4156 | − | 6.59081i | −0.398408 | − | 0.230021i | 0.287389 | − | 0.957814i | \(-0.407213\pi\) |
−0.685797 | + | 0.727793i | \(0.740546\pi\) | |||||||
\(822\) | −39.8055 | + | 4.48974i | −1.38838 | + | 0.156598i | ||||
\(823\) | −34.3720 | + | 19.8447i | −1.19813 | + | 0.691743i | −0.960139 | − | 0.279524i | \(-0.909823\pi\) |
−0.237994 | + | 0.971267i | \(0.576490\pi\) | |||||||
\(824\) | 2.62030 | − | 7.85811i | 0.0912824 | − | 0.273750i | ||||
\(825\) | 7.32273 | − | 6.72942i | 0.254945 | − | 0.234288i | ||||
\(826\) | 7.90616 | − | 4.20062i | 0.275090 | − | 0.146158i | ||||
\(827\) | 23.2354 | 0.807973 | 0.403987 | − | 0.914765i | \(-0.367624\pi\) | ||||
0.403987 | + | 0.914765i | \(0.367624\pi\) | |||||||
\(828\) | 19.0193 | − | 4.34572i | 0.660966 | − | 0.151024i | ||||
\(829\) | 3.93228 | − | 6.81091i | 0.136574 | − | 0.236553i | −0.789624 | − | 0.613591i | \(-0.789724\pi\) |
0.926198 | + | 0.377039i | \(0.123058\pi\) | |||||||
\(830\) | 0.791813 | − | 7.35209i | 0.0274842 | − | 0.255195i | ||||
\(831\) | −37.7489 | + | 34.6904i | −1.30950 | + | 1.20340i | ||||
\(832\) | 23.4322 | − | 10.0033i | 0.812365 | − | 0.346803i | ||||
\(833\) | 34.2947 | − | 27.0439i | 1.18824 | − | 0.937016i | ||||
\(834\) | 22.6774 | − | 51.9937i | 0.785252 | − | 1.80039i | ||||
\(835\) | −4.23210 | − | 2.44341i | −0.146458 | − | 0.0845575i | ||||
\(836\) | 5.90766 | + | 5.37443i | 0.204321 | + | 0.185879i | ||||
\(837\) | 3.93584 | + | 1.61044i | 0.136042 | + | 0.0556650i | ||||
\(838\) | 4.17319 | + | 9.43824i | 0.144161 | + | 0.326039i | ||||
\(839\) | −25.5164 | − | 44.1957i | −0.880925 | − | 1.52581i | −0.850314 | − | 0.526275i | \(-0.823588\pi\) |
−0.0306106 | − | 0.999531i | \(-0.509745\pi\) | |||||||
\(840\) | 11.9836 | + | 7.40979i | 0.413475 | + | 0.255662i | ||||
\(841\) | −12.3769 | + | 21.4375i | −0.426790 | + | 0.739223i | ||||
\(842\) | 19.1564 | + | 2.06313i | 0.660174 | + | 0.0711001i | ||||
\(843\) | 12.6432 | − | 40.3009i | 0.435455 | − | 1.38804i | ||||
\(844\) | −9.55622 | + | 43.8508i | −0.328939 | + | 1.50941i | ||||
\(845\) | 2.68982 | − | 1.55297i | 0.0925326 | − | 0.0534237i | ||||
\(846\) | 54.6369 | − | 18.8318i | 1.87845 | − | 0.647449i | ||||
\(847\) | −19.1386 | + | 12.9720i | −0.657610 | + | 0.445724i | ||||
\(848\) | 3.15718 | − | 0.299106i | 0.108418 | − | 0.0102713i | ||||
\(849\) | 7.91047 | − | 25.2151i | 0.271487 | − | 0.865379i | ||||
\(850\) | −30.8143 | + | 13.6248i | −1.05692 | + | 0.467327i | ||||
\(851\) | 14.1750 | + | 24.5518i | 0.485911 | + | 0.841623i | ||||
\(852\) | −36.6443 | − | 20.9115i | −1.25541 | − | 0.716415i | ||||
\(853\) | −25.0238 | − | 43.3425i | −0.856799 | − | 1.48402i | −0.874966 | − | 0.484185i | \(-0.839116\pi\) |
0.0181661 | − | 0.999835i | \(-0.494217\pi\) | |||||||
\(854\) | −14.9927 | − | 9.37499i | −0.513041 | − | 0.320805i | ||||
\(855\) | −7.83802 | + | 3.68238i | −0.268055 | + | 0.125935i | ||||
\(856\) | 6.21024 | + | 30.3643i | 0.212262 | + | 1.03783i | ||||
\(857\) | 40.0654i | 1.36861i | 0.729196 | + | 0.684305i | \(0.239894\pi\) | ||||
−0.729196 | + | 0.684305i | \(0.760106\pi\) | |||||||
\(858\) | 10.7526 | + | 4.68979i | 0.367087 | + | 0.160107i | ||||
\(859\) | 40.9224i | 1.39626i | 0.715973 | + | 0.698128i | \(0.245983\pi\) | ||||
−0.715973 | + | 0.698128i | \(0.754017\pi\) | |||||||
\(860\) | −6.67431 | + | 7.33651i | −0.227592 | + | 0.250173i | ||||
\(861\) | −23.8437 | + | 25.3125i | −0.812592 | + | 0.862649i | ||||
\(862\) | 6.91090 | + | 15.6299i | 0.235386 | + | 0.532358i | ||||
\(863\) | −15.2070 | − | 26.3392i | −0.517651 | − | 0.896598i | −0.999790 | − | 0.0205031i | \(-0.993473\pi\) |
0.482139 | − | 0.876095i | \(-0.339860\pi\) | |||||||
\(864\) | 23.4713 | − | 17.6945i | 0.798511 | − | 0.601980i | ||||
\(865\) | 10.8103 | − | 18.7240i | 0.367561 | − | 0.636635i | ||||
\(866\) | −18.8645 | + | 25.8252i | −0.641042 | + | 0.877574i | ||||
\(867\) | −36.2399 | − | 11.3692i | −1.23077 | − | 0.386118i | ||||
\(868\) | −4.28671 | − | 0.615038i | −0.145500 | − | 0.0208757i | ||||
\(869\) | −18.7912 | − | 10.8491i | −0.637447 | − | 0.368030i | ||||
\(870\) | 4.41422 | − | 3.25864i | 0.149656 | − | 0.110478i | ||||
\(871\) | 29.2846i | 0.992270i | ||||||||
\(872\) | −30.8075 | + | 27.3128i | −1.04328 | + | 0.924928i | ||||
\(873\) | 36.3630 | − | 17.0837i | 1.23070 | − | 0.578196i | ||||
\(874\) | 1.30759 | − | 12.1411i | 0.0442298 | − | 0.410679i | ||||
\(875\) | −14.2294 | − | 20.9937i | −0.481042 | − | 0.709717i | ||||
\(876\) | −24.1071 | + | 14.0804i | −0.814502 | + | 0.475733i | ||||
\(877\) | −27.2131 | −0.918920 | −0.459460 | − | 0.888198i | \(-0.651957\pi\) | ||||
−0.459460 | + | 0.888198i | \(0.651957\pi\) | |||||||
\(878\) | 32.4284 | − | 14.3385i | 1.09441 | − | 0.483900i | ||||
\(879\) | −20.3095 | + | 4.53312i | −0.685021 | + | 0.152898i | ||||
\(880\) | −3.78871 | − | 5.32888i | −0.127717 | − | 0.179637i | ||||
\(881\) | 18.9137i | 0.637219i | 0.947886 | + | 0.318610i | \(0.103216\pi\) | ||||
−0.947886 | + | 0.318610i | \(0.896784\pi\) | |||||||
\(882\) | 26.3963 | − | 13.6101i | 0.888809 | − | 0.458277i | ||||
\(883\) | − | 4.60566i | − | 0.154993i | −0.996993 | − | 0.0774964i | \(-0.975307\pi\) | ||
0.996993 | − | 0.0774964i | \(-0.0246926\pi\) | |||||||
\(884\) | −29.3967 | − | 26.7433i | −0.988717 | − | 0.899474i | ||||
\(885\) | 1.34851 | − | 4.29844i | 0.0453295 | − | 0.144490i | ||||
\(886\) | −8.42973 | − | 19.0650i | −0.283202 | − | 0.640501i | ||||
\(887\) | −16.8474 | −0.565680 | −0.282840 | − | 0.959167i | \(-0.591277\pi\) | ||||
−0.282840 | + | 0.959167i | \(0.591277\pi\) | |||||||
\(888\) | 34.6176 | + | 25.0210i | 1.16169 | + | 0.839650i | ||||
\(889\) | 1.38839 | + | 2.04840i | 0.0465652 | + | 0.0687011i | ||||
\(890\) | −10.4296 | − | 1.12326i | −0.349601 | − | 0.0376517i | ||||
\(891\) | 13.3414 | + | 2.27348i | 0.446954 | + | 0.0761646i | ||||
\(892\) | 26.2613 | + | 23.8909i | 0.879292 | + | 0.799927i | ||||
\(893\) | − | 36.1726i | − | 1.21047i | ||||||
\(894\) | 21.3524 | − | 2.40838i | 0.714131 | − | 0.0805482i | ||||
\(895\) | 3.48950 | + | 2.01467i | 0.116641 | + | 0.0673429i | ||||
\(896\) | −18.7969 | + | 23.2954i | −0.627962 | + | 0.778244i | ||||
\(897\) | −3.90726 | − | 17.5055i | −0.130460 | − | 0.584491i | ||||
\(898\) | −41.6409 | − | 30.4174i | −1.38957 | − | 1.01504i | ||||
\(899\) | −0.843213 | + | 1.46049i | −0.0281227 | + | 0.0487100i | ||||
\(900\) | −22.3347 | + | 5.10325i | −0.744488 | + | 0.170108i | ||||
\(901\) | −2.47334 | − | 4.28395i | −0.0823990 | − | 0.142719i | ||||
\(902\) | 14.7592 | − | 6.52589i | 0.491428 | − | 0.217289i | ||||
\(903\) | 6.01161 | + | 20.0231i | 0.200054 | + | 0.666328i | ||||
\(904\) | −28.3634 | − | 31.9925i | −0.943351 | − | 1.06406i | ||||
\(905\) | 22.3014i | 0.741323i | ||||||||
\(906\) | −22.4566 | + | 2.53292i | −0.746071 | + | 0.0841507i | ||||
\(907\) | − | 31.7929i | − | 1.05567i | −0.849348 | − | 0.527833i | \(-0.823005\pi\) | ||
0.849348 | − | 0.527833i | \(-0.176995\pi\) | |||||||
\(908\) | 8.14330 | + | 25.5072i | 0.270245 | + | 0.846485i | ||||
\(909\) | 6.16331 | + | 0.521381i | 0.204424 | + | 0.0172931i | ||||
\(910\) | 6.86762 | − | 10.9829i | 0.227659 | − | 0.364079i | ||||
\(911\) | 16.0911 | + | 27.8705i | 0.533121 | + | 0.923392i | 0.999252 | + | 0.0386763i | \(0.0123141\pi\) |
−0.466131 | + | 0.884716i | \(0.654353\pi\) | |||||||
\(912\) | −5.68360 | − | 17.4983i | −0.188203 | − | 0.579426i | ||||
\(913\) | 3.61664 | + | 6.26421i | 0.119693 | + | 0.207315i | ||||
\(914\) | −9.42140 | − | 21.3078i | −0.311632 | − | 0.704799i | ||||
\(915\) | −8.68408 | + | 1.93831i | −0.287087 | + | 0.0640784i | ||||
\(916\) | 7.95080 | + | 24.9042i | 0.262702 | + | 0.822857i | ||||
\(917\) | −17.6071 | + | 11.9340i | −0.581436 | + | 0.394094i | ||||
\(918\) | −40.3311 | − | 21.8070i | −1.33112 | − | 0.719739i | ||||
\(919\) | −12.8002 | + | 7.39019i | −0.422239 | + | 0.243780i | −0.696035 | − | 0.718008i | \(-0.745054\pi\) |
0.273796 | + | 0.961788i | \(0.411721\pi\) | |||||||
\(920\) | −3.16240 | + | 9.48384i | −0.104261 | + | 0.312673i | ||||
\(921\) | −30.5504 | − | 33.2439i | −1.00667 | − | 1.09542i | ||||
\(922\) | 1.47467 | − | 13.6925i | 0.0485657 | − | 0.450938i | ||||
\(923\) | −19.3945 | + | 33.5922i | −0.638377 | + | 1.10570i | ||||
\(924\) | −13.7411 | + | 1.06154i | −0.452050 | + | 0.0349221i | ||||
\(925\) | −16.6459 | − | 28.8315i | −0.547313 | − | 0.947975i | ||||
\(926\) | 4.59093 | − | 2.02991i | 0.150867 | − | 0.0667071i | ||||
\(927\) | −8.75467 | − | 0.740596i | −0.287541 | − | 0.0243244i | ||||
\(928\) | 5.69832 | + | 10.1689i | 0.187057 | + | 0.333810i | ||||
\(929\) | −43.8195 | − | 25.2992i | −1.43767 | − | 0.830041i | −0.439985 | − | 0.898005i | \(-0.645016\pi\) |
−0.997688 | + | 0.0679648i | \(0.978349\pi\) | |||||||
\(930\) | −1.75318 | + | 1.29422i | −0.0574889 | + | 0.0424392i | ||||
\(931\) | −2.67006 | − | 18.3961i | −0.0875075 | − | 0.602907i | ||||
\(932\) | −8.66611 | − | 7.88390i | −0.283868 | − | 0.258246i | ||||
\(933\) | −8.55850 | − | 2.68497i | −0.280193 | − | 0.0879021i | ||||
\(934\) | 12.6477 | + | 1.36215i | 0.413847 | + | 0.0445709i | ||||
\(935\) | −5.09940 | + | 8.83242i | −0.166768 | + | 0.288851i | ||||
\(936\) | −16.1589 | − | 21.6602i | −0.528170 | − | 0.707987i | ||||
\(937\) | 32.7292 | 1.06922 | 0.534608 | − | 0.845100i | \(-0.320459\pi\) | ||||
0.534608 | + | 0.845100i | \(0.320459\pi\) | |||||||
\(938\) | −16.1429 | − | 30.3831i | −0.527084 | − | 0.992044i | ||||
\(939\) | −4.36538 | − | 19.5579i | −0.142459 | − | 0.638249i | ||||
\(940\) | −6.30563 | + | 28.9347i | −0.205667 | + | 0.943747i | ||||
\(941\) | −7.21031 | + | 4.16287i | −0.235049 | + | 0.135706i | −0.612899 | − | 0.790161i | \(-0.709997\pi\) |
0.377850 | + | 0.925867i | \(0.376664\pi\) | |||||||
\(942\) | −8.95732 | + | 6.61243i | −0.291845 | + | 0.215445i | ||||
\(943\) | −21.3684 | − | 12.3371i | −0.695852 | − | 0.401750i | ||||
\(944\) | 8.70308 | + | 3.98238i | 0.283261 | + | 0.129616i | ||||
\(945\) | 4.64871 | − | 14.2027i | 0.151222 | − | 0.462013i | ||||
\(946\) | 1.03887 | − | 9.64605i | 0.0337766 | − | 0.313620i | ||||
\(947\) | 25.8534 | − | 44.7794i | 0.840122 | − | 1.45513i | −0.0496684 | − | 0.998766i | \(-0.515816\pi\) |
0.889791 | − | 0.456369i | \(-0.150850\pi\) | |||||||
\(948\) | 25.2099 | + | 43.1619i | 0.818780 | + | 1.40183i | ||||
\(949\) | 12.8333 | + | 22.2280i | 0.416587 | + | 0.721550i | ||||
\(950\) | −1.53552 | + | 14.2575i | −0.0498189 | + | 0.462575i | ||||
\(951\) | −39.7248 | + | 8.86666i | −1.28816 | + | 0.287521i | ||||
\(952\) | 45.2414 | + | 11.5419i | 1.46628 | + | 0.374074i | ||||
\(953\) | − | 23.0749i | − | 0.747468i | −0.927536 | − | 0.373734i | \(-0.878077\pi\) | ||
0.927536 | − | 0.373734i | \(-0.121923\pi\) | |||||||
\(954\) | −1.09609 | − | 3.18009i | −0.0354871 | − | 0.102959i | ||||
\(955\) | 15.3922 | + | 8.88672i | 0.498081 | + | 0.287567i | ||||
\(956\) | −16.7542 | − | 3.65117i | −0.541868 | − | 0.118087i | ||||
\(957\) | −1.60654 | + | 5.12093i | −0.0519321 | + | 0.165536i | ||||
\(958\) | 14.1628 | − | 19.3886i | 0.457579 | − | 0.626417i | ||||
\(959\) | −24.2757 | − | 35.8157i | −0.783903 | − | 1.15655i | ||||
\(960\) | 1.49604 | + | 14.9878i | 0.0482845 | + | 0.483729i | ||||
\(961\) | −15.1651 | + | 26.2667i | −0.489197 | + | 0.847314i | ||||
\(962\) | 23.1632 | − | 31.7100i | 0.746812 | − | 1.02237i | ||||
\(963\) | 29.7530 | − | 13.9782i | 0.958776 | − | 0.450443i | ||||
\(964\) | −1.68827 | − | 5.28815i | −0.0543755 | − | 0.170320i | ||||
\(965\) | 10.8336 | − | 6.25478i | 0.348746 | − | 0.201348i | ||||
\(966\) | 13.7036 | + | 16.0083i | 0.440906 | + | 0.515059i | ||||
\(967\) | −30.3476 | − | 17.5212i | −0.975913 | − | 0.563444i | −0.0748791 | − | 0.997193i | \(-0.523857\pi\) |
−0.901034 | + | 0.433749i | \(0.857190\pi\) | |||||||
\(968\) | −23.4477 | − | 7.81866i | −0.753637 | − | 0.251301i | ||||
\(969\) | −21.1304 | + | 19.4183i | −0.678806 | + | 0.623807i | ||||
\(970\) | −2.20450 | + | 20.4690i | −0.0707822 | + | 0.657221i | ||||
\(971\) | 6.33039 | + | 10.9646i | 0.203152 | + | 0.351869i | 0.949542 | − | 0.313639i | \(-0.101548\pi\) |
−0.746390 | + | 0.665508i | \(0.768215\pi\) | |||||||
\(972\) | −24.0975 | − | 19.7816i | −0.772928 | − | 0.634494i | ||||
\(973\) | 61.1098 | − | 4.41171i | 1.95909 | − | 0.141433i | ||||
\(974\) | −1.30391 | + | 0.576535i | −0.0417801 | + | 0.0184734i | ||||
\(975\) | 4.58836 | + | 20.5570i | 0.146945 | + | 0.658350i | ||||
\(976\) | −1.78290 | − | 18.8192i | −0.0570691 | − | 0.602387i | ||||
\(977\) | −17.4860 | + | 10.0955i | −0.559426 | + | 0.322985i | −0.752915 | − | 0.658118i | \(-0.771353\pi\) |
0.193489 | + | 0.981102i | \(0.438020\pi\) | |||||||
\(978\) | 1.26184 | + | 1.70931i | 0.0403492 | + | 0.0546577i | ||||
\(979\) | 8.88634 | − | 5.13053i | 0.284009 | − | 0.163972i | ||||
\(980\) | −1.07102 | + | 15.1806i | −0.0342124 | + | 0.484927i | ||||
\(981\) | 35.8433 | + | 24.9446i | 1.14439 | + | 0.796420i | ||||
\(982\) | −1.12015 | − | 2.53337i | −0.0357453 | − | 0.0808430i | ||||
\(983\) | 43.8020 | 1.39707 | 0.698534 | − | 0.715577i | \(-0.253836\pi\) | ||||
0.698534 | + | 0.715577i | \(0.253836\pi\) | |||||||
\(984\) | −36.9811 | − | 3.79470i | −1.17891 | − | 0.120971i | ||||
\(985\) | −12.6515 | −0.403109 | ||||||||
\(986\) | 10.7250 | − | 14.6823i | 0.341552 | − | 0.467578i | ||||
\(987\) | 45.4374 | + | 42.8008i | 1.44629 | + | 1.36236i | ||||
\(988\) | −16.1133 | + | 5.14427i | −0.512633 | + | 0.163661i | ||||
\(989\) | −12.8466 | + | 7.41698i | −0.408498 | + | 0.235846i | ||||
\(990\) | −4.54821 | + | 5.23536i | −0.144552 | + | 0.166391i | ||||
\(991\) | 24.9914 | + | 14.4288i | 0.793878 | + | 0.458346i | 0.841326 | − | 0.540528i | \(-0.181776\pi\) |
−0.0474481 | + | 0.998874i | \(0.515109\pi\) | |||||||
\(992\) | −2.26318 | − | 4.03873i | −0.0718560 | − | 0.128230i | ||||
\(993\) | −25.6056 | + | 5.71524i | −0.812570 | + | 0.181368i | ||||
\(994\) | 1.60459 | − | 45.5434i | 0.0508945 | − | 1.44455i | ||||
\(995\) | 8.87818 | − | 15.3775i | 0.281457 | − | 0.487498i | ||||
\(996\) | −0.0838390 | − | 16.6627i | −0.00265654 | − | 0.527978i | ||||
\(997\) | −23.7242 | −0.751352 | −0.375676 | − | 0.926751i | \(-0.622589\pi\) | ||||
−0.375676 | + | 0.926751i | \(0.622589\pi\) | |||||||
\(998\) | 31.3285 | + | 22.8846i | 0.991687 | + | 0.724398i | ||||
\(999\) | 17.1567 | − | 41.9301i | 0.542814 | − | 1.32661i |
(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 | 252.2.o.a.95.14 | ✓ | 88 | |
3.2 | odd | 2 | 756.2.o.a.179.31 | 88 | |||
4.3 | odd | 2 | inner | 252.2.o.a.95.28 | yes | 88 | |
7.2 | even | 3 | 252.2.bb.a.23.42 | yes | 88 | ||
9.2 | odd | 6 | 252.2.bb.a.11.3 | yes | 88 | ||
9.7 | even | 3 | 756.2.bb.a.683.42 | 88 | |||
12.11 | even | 2 | 756.2.o.a.179.17 | 88 | |||
21.2 | odd | 6 | 756.2.bb.a.611.3 | 88 | |||
28.23 | odd | 6 | 252.2.bb.a.23.3 | yes | 88 | ||
36.7 | odd | 6 | 756.2.bb.a.683.3 | 88 | |||
36.11 | even | 6 | 252.2.bb.a.11.42 | yes | 88 | ||
63.2 | odd | 6 | inner | 252.2.o.a.191.28 | yes | 88 | |
63.16 | even | 3 | 756.2.o.a.359.17 | 88 | |||
84.23 | even | 6 | 756.2.bb.a.611.42 | 88 | |||
252.79 | odd | 6 | 756.2.o.a.359.31 | 88 | |||
252.191 | even | 6 | inner | 252.2.o.a.191.14 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
252.2.o.a.95.14 | ✓ | 88 | 1.1 | even | 1 | trivial | |
252.2.o.a.95.28 | yes | 88 | 4.3 | odd | 2 | inner | |
252.2.o.a.191.14 | yes | 88 | 252.191 | even | 6 | inner | |
252.2.o.a.191.28 | yes | 88 | 63.2 | odd | 6 | inner | |
252.2.bb.a.11.3 | yes | 88 | 9.2 | odd | 6 | ||
252.2.bb.a.11.42 | yes | 88 | 36.11 | even | 6 | ||
252.2.bb.a.23.3 | yes | 88 | 28.23 | odd | 6 | ||
252.2.bb.a.23.42 | yes | 88 | 7.2 | even | 3 | ||
756.2.o.a.179.17 | 88 | 12.11 | even | 2 | |||
756.2.o.a.179.31 | 88 | 3.2 | odd | 2 | |||
756.2.o.a.359.17 | 88 | 63.16 | even | 3 | |||
756.2.o.a.359.31 | 88 | 252.79 | odd | 6 | |||
756.2.bb.a.611.3 | 88 | 21.2 | odd | 6 | |||
756.2.bb.a.611.42 | 88 | 84.23 | even | 6 | |||
756.2.bb.a.683.3 | 88 | 36.7 | odd | 6 | |||
756.2.bb.a.683.42 | 88 | 9.7 | even | 3 |