Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [185,2,Mod(8,185)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(185, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([9, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("185.8");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 185 = 5 \cdot 37 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 185.u (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.47723243739\) |
Analytic rank: | \(0\) |
Dimension: | \(68\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 8.16 | ||
Character | \(\chi\) | \(=\) | 185.8 |
Dual form | 185.2.u.a.162.16 |
$q$-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 \(\left(\mathbb{Z}/185\mathbb{Z}\right)^\times\).
\(n\) | \(76\) | \(112\) |
\(\chi(n)\) | \(e\left(\frac{1}{12}\right)\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.08716 | − | 1.20502i | 1.47584 | − | 0.852078i | 0.476214 | − | 0.879329i | \(-0.342009\pi\) |
0.999629 | + | 0.0272507i | \(0.00867525\pi\) | |||||||
\(3\) | −0.740695 | − | 2.76431i | −0.427641 | − | 1.59598i | −0.758088 | − | 0.652152i | \(-0.773866\pi\) |
0.330448 | − | 0.943824i | \(-0.392800\pi\) | |||||||
\(4\) | 1.90415 | − | 3.29809i | 0.952075 | − | 1.64904i | ||||
\(5\) | 0.749673 | + | 2.10665i | 0.335264 | + | 0.942124i | ||||
\(6\) | −4.87700 | − | 4.87700i | −1.99103 | − | 1.99103i | ||||
\(7\) | 0.856324 | + | 3.19584i | 0.323660 | + | 1.20792i | 0.915652 | + | 0.401971i | \(0.131675\pi\) |
−0.591992 | + | 0.805944i | \(0.701658\pi\) | |||||||
\(8\) | − | 4.35808i | − | 1.54081i | ||||||
\(9\) | −4.49471 | + | 2.59502i | −1.49824 | + | 0.865008i | ||||
\(10\) | 4.10325 | + | 3.49355i | 1.29756 | + | 1.10476i | ||||
\(11\) | 3.83099i | 1.15509i | 0.816360 | + | 0.577544i | \(0.195989\pi\) | ||||
−0.816360 | + | 0.577544i | \(0.804011\pi\) | |||||||
\(12\) | −10.5273 | − | 2.82079i | −3.03898 | − | 0.814292i | ||||
\(13\) | −4.17123 | − | 2.40826i | −1.15689 | − | 0.667931i | −0.206333 | − | 0.978482i | \(-0.566153\pi\) |
−0.950557 | + | 0.310551i | \(0.899486\pi\) | |||||||
\(14\) | 5.63834 | + | 5.63834i | 1.50691 | + | 1.50691i | ||||
\(15\) | 5.26817 | − | 3.63272i | 1.36024 | − | 0.937964i | ||||
\(16\) | −1.44328 | − | 2.49983i | −0.360819 | − | 0.624957i | ||||
\(17\) | −1.82609 | − | 3.16288i | −0.442892 | − | 0.767111i | 0.555011 | − | 0.831843i | \(-0.312714\pi\) |
−0.997903 | + | 0.0647323i | \(0.979381\pi\) | |||||||
\(18\) | −6.25412 | + | 10.8324i | −1.47411 | + | 2.55323i | ||||
\(19\) | 0.0518034 | + | 0.193333i | 0.0118845 | + | 0.0443536i | 0.971613 | − | 0.236574i | \(-0.0760246\pi\) |
−0.959729 | + | 0.280928i | \(0.909358\pi\) | |||||||
\(20\) | 8.37541 | + | 1.53890i | 1.87280 | + | 0.344109i | ||||
\(21\) | 8.20003 | − | 4.73429i | 1.78939 | − | 1.03311i | ||||
\(22\) | 4.61643 | + | 7.99588i | 0.984225 | + | 1.70473i | ||||
\(23\) | − | 6.29358i | − | 1.31230i | −0.754630 | − | 0.656151i | \(-0.772184\pi\) | ||
0.754630 | − | 0.656151i | \(-0.227816\pi\) | |||||||
\(24\) | −12.0471 | + | 3.22801i | −2.45910 | + | 0.658915i | ||||
\(25\) | −3.87598 | + | 3.15860i | −0.775196 | + | 0.631721i | ||||
\(26\) | −11.6080 | −2.27652 | ||||||||
\(27\) | 4.43182 | + | 4.43182i | 0.852904 | + | 0.852904i | ||||
\(28\) | 12.1707 | + | 3.26114i | 2.30005 | + | 0.616297i | ||||
\(29\) | −2.75341 | − | 2.75341i | −0.511295 | − | 0.511295i | 0.403628 | − | 0.914923i | \(-0.367749\pi\) |
−0.914923 | + | 0.403628i | \(0.867749\pi\) | |||||||
\(30\) | 6.61800 | − | 13.9303i | 1.20828 | − | 2.54331i | ||||
\(31\) | 0.719447 | − | 0.719447i | 0.129217 | − | 0.129217i | −0.639541 | − | 0.768757i | \(-0.720875\pi\) |
0.768757 | + | 0.639541i | \(0.220875\pi\) | |||||||
\(32\) | 1.52372 | + | 0.879722i | 0.269359 | + | 0.155514i | ||||
\(33\) | 10.5901 | − | 2.83760i | 1.84349 | − | 0.493962i | ||||
\(34\) | −7.62267 | − | 4.40095i | −1.30728 | − | 0.754757i | ||||
\(35\) | −6.09057 | + | 4.19981i | −1.02949 | + | 0.709898i | ||||
\(36\) | 19.7653i | 3.29421i | ||||||||
\(37\) | 4.18102 | − | 4.41804i | 0.687355 | − | 0.726321i | ||||
\(38\) | 0.341092 | + | 0.341092i | 0.0553325 | + | 0.0553325i | ||||
\(39\) | −3.56757 | + | 13.3144i | −0.571268 | + | 2.13200i | ||||
\(40\) | 9.18097 | − | 3.26714i | 1.45164 | − | 0.516579i | ||||
\(41\) | 1.44950 | + | 0.836869i | 0.226374 | + | 0.130697i | 0.608898 | − | 0.793248i | \(-0.291612\pi\) |
−0.382524 | + | 0.923945i | \(0.624945\pi\) | |||||||
\(42\) | 11.4098 | − | 19.7624i | 1.76058 | − | 3.04941i | ||||
\(43\) | 8.23465i | 1.25577i | 0.778305 | + | 0.627886i | \(0.216080\pi\) | ||||
−0.778305 | + | 0.627886i | \(0.783920\pi\) | |||||||
\(44\) | 12.6349 | + | 7.29479i | 1.90479 | + | 1.09973i | ||||
\(45\) | −8.83638 | − | 7.52339i | −1.31725 | − | 1.12152i | ||||
\(46\) | −7.58389 | − | 13.1357i | −1.11818 | − | 1.93675i | ||||
\(47\) | 1.98879 | − | 1.98879i | 0.290095 | − | 0.290095i | −0.547023 | − | 0.837118i | \(-0.684239\pi\) |
0.837118 | + | 0.547023i | \(0.184239\pi\) | |||||||
\(48\) | −5.84128 | + | 5.84128i | −0.843116 | + | 0.843116i | ||||
\(49\) | −3.41794 | + | 1.97335i | −0.488278 | + | 0.281907i | ||||
\(50\) | −4.28360 | + | 11.2631i | −0.605793 | + | 1.59285i | ||||
\(51\) | −7.39061 | + | 7.39061i | −1.03489 | + | 1.03489i | ||||
\(52\) | −15.8853 | + | 9.17137i | −2.20289 | + | 1.27184i | ||||
\(53\) | −0.428942 | + | 1.60083i | −0.0589197 | + | 0.219891i | −0.989108 | − | 0.147191i | \(-0.952977\pi\) |
0.930188 | + | 0.367083i | \(0.119643\pi\) | |||||||
\(54\) | 14.5903 | + | 3.90947i | 1.98549 | + | 0.532011i | ||||
\(55\) | −8.07057 | + | 2.87199i | −1.08824 | + | 0.387259i | ||||
\(56\) | 13.9277 | − | 3.73193i | 1.86117 | − | 0.498700i | ||||
\(57\) | 0.496062 | − | 0.286402i | 0.0657050 | − | 0.0379348i | ||||
\(58\) | −9.06471 | − | 2.42888i | −1.19025 | − | 0.318928i | ||||
\(59\) | −2.85858 | − | 0.765955i | −0.372156 | − | 0.0997189i | 0.0678931 | − | 0.997693i | \(-0.478372\pi\) |
−0.440049 | + | 0.897974i | \(0.645039\pi\) | |||||||
\(60\) | −1.94963 | − | 24.2921i | −0.251696 | − | 3.13610i | ||||
\(61\) | −2.59028 | − | 9.66704i | −0.331651 | − | 1.23774i | −0.907455 | − | 0.420150i | \(-0.861977\pi\) |
0.575804 | − | 0.817588i | \(-0.304689\pi\) | |||||||
\(62\) | 0.634651 | − | 2.36855i | 0.0806007 | − | 0.300806i | ||||
\(63\) | −12.1422 | − | 12.1422i | −1.52978 | − | 1.52978i | ||||
\(64\) | 10.0134 | 1.25168 | ||||||||
\(65\) | 1.94631 | − | 10.5927i | 0.241410 | − | 1.31387i | ||||
\(66\) | 18.6838 | − | 18.6838i | 2.29981 | − | 2.29981i | ||||
\(67\) | 4.21603 | − | 1.12968i | 0.515070 | − | 0.138013i | 0.00808476 | − | 0.999967i | \(-0.497427\pi\) |
0.506985 | + | 0.861955i | \(0.330760\pi\) | |||||||
\(68\) | −13.9086 | −1.68666 | ||||||||
\(69\) | −17.3974 | + | 4.66162i | −2.09440 | + | 0.561193i | ||||
\(70\) | −7.65112 | + | 16.1049i | −0.914484 | + | 1.92491i | ||||
\(71\) | −4.93987 | + | 8.55611i | −0.586255 | + | 1.01542i | 0.408463 | + | 0.912775i | \(0.366065\pi\) |
−0.994718 | + | 0.102649i | \(0.967268\pi\) | |||||||
\(72\) | 11.3093 | + | 19.5883i | 1.33282 | + | 2.30851i | ||||
\(73\) | 8.50238 | − | 8.50238i | 0.995129 | − | 0.995129i | −0.00485939 | − | 0.999988i | \(-0.501547\pi\) |
0.999988 | + | 0.00485939i | \(0.00154680\pi\) | |||||||
\(74\) | 3.40261 | − | 14.2594i | 0.395546 | − | 1.65762i | ||||
\(75\) | 11.6023 | + | 8.37486i | 1.33972 | + | 0.967045i | ||||
\(76\) | 0.736270 | + | 0.197283i | 0.0844560 | + | 0.0226299i | ||||
\(77\) | −12.2432 | + | 3.28057i | −1.39525 | + | 0.373856i | ||||
\(78\) | 8.59799 | + | 32.0881i | 0.973531 | + | 3.63327i | ||||
\(79\) | 3.49689 | + | 13.0506i | 0.393431 | + | 1.46831i | 0.824436 | + | 0.565956i | \(0.191493\pi\) |
−0.431005 | + | 0.902350i | \(0.641841\pi\) | |||||||
\(80\) | 4.18429 | − | 4.91454i | 0.467818 | − | 0.549462i | ||||
\(81\) | 1.18323 | − | 2.04941i | 0.131470 | − | 0.227712i | ||||
\(82\) | 4.03378 | 0.445456 | ||||||||
\(83\) | −2.64888 | + | 9.88574i | −0.290752 | + | 1.08510i | 0.653781 | + | 0.756684i | \(0.273182\pi\) |
−0.944533 | + | 0.328417i | \(0.893485\pi\) | |||||||
\(84\) | − | 36.0592i | − | 3.93438i | ||||||
\(85\) | 5.29412 | − | 6.21806i | 0.574228 | − | 0.674443i | ||||
\(86\) | 9.92293 | + | 17.1870i | 1.07002 | + | 1.85332i | ||||
\(87\) | −5.57184 | + | 9.65071i | −0.597364 | + | 1.03466i | ||||
\(88\) | 16.6958 | 1.77978 | ||||||||
\(89\) | 2.00514 | − | 7.48328i | 0.212544 | − | 0.793226i | −0.774472 | − | 0.632608i | \(-0.781985\pi\) |
0.987017 | − | 0.160618i | \(-0.0513488\pi\) | |||||||
\(90\) | −27.5088 | − | 5.05447i | −2.89968 | − | 0.532788i | ||||
\(91\) | 4.12450 | − | 15.3928i | 0.432365 | − | 1.61361i | ||||
\(92\) | −20.7568 | − | 11.9839i | −2.16404 | − | 1.24941i | ||||
\(93\) | −2.52167 | − | 1.45589i | −0.261485 | − | 0.150968i | ||||
\(94\) | 1.75438 | − | 6.54745i | 0.180951 | − | 0.675318i | ||||
\(95\) | −0.368450 | + | 0.254068i | −0.0378022 | + | 0.0260669i | ||||
\(96\) | 1.30321 | − | 4.86365i | 0.133009 | − | 0.496394i | ||||
\(97\) | 5.79674 | 0.588569 | 0.294285 | − | 0.955718i | \(-0.404919\pi\) | ||||
0.294285 | + | 0.955718i | \(0.404919\pi\) | |||||||
\(98\) | −4.75586 | + | 8.23739i | −0.480414 | + | 0.832102i | ||||
\(99\) | −9.94152 | − | 17.2192i | −0.999160 | − | 1.73060i | ||||
\(100\) | 3.03689 | + | 18.7978i | 0.303689 | + | 1.87978i | ||||
\(101\) | 13.7342i | 1.36661i | 0.730134 | + | 0.683304i | \(0.239457\pi\) | ||||
−0.730134 | + | 0.683304i | \(0.760543\pi\) | |||||||
\(102\) | −6.51952 | + | 24.3312i | −0.645529 | + | 2.40915i | ||||
\(103\) | 9.91975 | 0.977422 | 0.488711 | − | 0.872446i | \(-0.337467\pi\) | ||||
0.488711 | + | 0.872446i | \(0.337467\pi\) | |||||||
\(104\) | −10.4954 | + | 18.1785i | −1.02916 | + | 1.78255i | ||||
\(105\) | 16.1209 | + | 13.7255i | 1.57323 | + | 1.33947i | ||||
\(106\) | 1.03377 | + | 3.85807i | 0.100408 | + | 0.374729i | ||||
\(107\) | −2.72852 | − | 10.1830i | −0.263776 | − | 0.984425i | −0.962995 | − | 0.269518i | \(-0.913136\pi\) |
0.699220 | − | 0.714907i | \(-0.253531\pi\) | |||||||
\(108\) | 23.0554 | − | 6.17767i | 2.21850 | − | 0.594446i | ||||
\(109\) | 2.61258 | + | 0.700039i | 0.250240 | + | 0.0670516i | 0.381759 | − | 0.924262i | \(-0.375319\pi\) |
−0.131518 | + | 0.991314i | \(0.541985\pi\) | |||||||
\(110\) | −13.3838 | + | 15.7195i | −1.27609 | + | 1.49880i | ||||
\(111\) | −15.3097 | − | 8.28522i | −1.45313 | − | 0.786398i | ||||
\(112\) | 6.75315 | − | 6.75315i | 0.638113 | − | 0.638113i | ||||
\(113\) | −0.750692 | − | 1.30024i | −0.0706191 | − | 0.122316i | 0.828554 | − | 0.559910i | \(-0.189164\pi\) |
−0.899173 | + | 0.437594i | \(0.855831\pi\) | |||||||
\(114\) | 0.690240 | − | 1.19553i | 0.0646469 | − | 0.111972i | ||||
\(115\) | 13.2584 | − | 4.71812i | 1.23635 | − | 0.439967i | ||||
\(116\) | −14.3239 | + | 3.83807i | −1.32994 | + | 0.356356i | ||||
\(117\) | 24.9980 | 2.31106 | ||||||||
\(118\) | −6.88931 | + | 1.84598i | −0.634212 | + | 0.169937i | ||||
\(119\) | 8.54434 | − | 8.54434i | 0.783258 | − | 0.783258i | ||||
\(120\) | −15.8317 | − | 22.9591i | −1.44523 | − | 2.09587i | ||||
\(121\) | −3.67650 | −0.334227 | ||||||||
\(122\) | −17.0553 | − | 17.0553i | −1.54411 | − | 1.54411i | ||||
\(123\) | 1.23973 | − | 4.62673i | 0.111783 | − | 0.417178i | ||||
\(124\) | −1.00286 | − | 3.74273i | −0.0900597 | − | 0.336107i | ||||
\(125\) | −9.55980 | − | 5.79743i | −0.855055 | − | 0.518538i | ||||
\(126\) | −39.9743 | − | 10.7111i | −3.56120 | − | 0.954220i | ||||
\(127\) | 8.91685 | + | 2.38926i | 0.791243 | + | 0.212013i | 0.631736 | − | 0.775184i | \(-0.282343\pi\) |
0.159507 | + | 0.987197i | \(0.449009\pi\) | |||||||
\(128\) | 17.8522 | − | 10.3070i | 1.57793 | − | 0.911016i | ||||
\(129\) | 22.7631 | − | 6.09937i | 2.00418 | − | 0.537019i | ||||
\(130\) | −8.70221 | − | 24.4541i | −0.763234 | − | 2.14476i | ||||
\(131\) | −12.4818 | − | 3.34449i | −1.09054 | − | 0.292209i | −0.331633 | − | 0.943409i | \(-0.607600\pi\) |
−0.758907 | + | 0.651199i | \(0.774266\pi\) | |||||||
\(132\) | 10.8064 | − | 40.3301i | 0.940578 | − | 3.51029i | ||||
\(133\) | −0.573501 | + | 0.331111i | −0.0497289 | + | 0.0287110i | ||||
\(134\) | 7.43823 | − | 7.43823i | 0.642565 | − | 0.642565i | ||||
\(135\) | −6.01389 | + | 12.6587i | −0.517593 | + | 1.08949i | ||||
\(136\) | −13.7841 | + | 7.95824i | −1.18198 | + | 0.682414i | ||||
\(137\) | −4.48934 | + | 4.48934i | −0.383551 | + | 0.383551i | −0.872380 | − | 0.488829i | \(-0.837424\pi\) |
0.488829 | + | 0.872380i | \(0.337424\pi\) | |||||||
\(138\) | −30.6938 | + | 30.6938i | −2.61283 | + | 2.61283i | ||||
\(139\) | −1.08168 | − | 1.87352i | −0.0917466 | − | 0.158910i | 0.816500 | − | 0.577346i | \(-0.195912\pi\) |
−0.908246 | + | 0.418436i | \(0.862578\pi\) | |||||||
\(140\) | 2.25398 | + | 28.0843i | 0.190496 | + | 2.37356i | ||||
\(141\) | −6.97072 | − | 4.02455i | −0.587041 | − | 0.338928i | ||||
\(142\) | 23.8106i | 1.99814i | ||||||||
\(143\) | 9.22602 | − | 15.9799i | 0.771518 | − | 1.33631i | ||||
\(144\) | 12.9742 | + | 7.49068i | 1.08119 | + | 0.624223i | ||||
\(145\) | 3.73632 | − | 7.86463i | 0.310285 | − | 0.653122i | ||||
\(146\) | 7.50026 | − | 27.9914i | 0.620726 | − | 2.31658i | ||||
\(147\) | 7.98661 | + | 7.98661i | 0.658725 | + | 0.658725i | ||||
\(148\) | −6.60979 | − | 22.2020i | −0.543321 | − | 1.82499i | ||||
\(149\) | − | 4.01366i | − | 0.328812i | −0.986393 | − | 0.164406i | \(-0.947429\pi\) | ||
0.986393 | − | 0.164406i | \(-0.0525706\pi\) | |||||||
\(150\) | 34.3077 | + | 3.49866i | 2.80121 | + | 0.285664i | ||||
\(151\) | 5.29463 | + | 3.05686i | 0.430871 | + | 0.248764i | 0.699718 | − | 0.714419i | \(-0.253309\pi\) |
−0.268846 | + | 0.963183i | \(0.586642\pi\) | |||||||
\(152\) | 0.842561 | − | 0.225764i | 0.0683407 | − | 0.0183118i | ||||
\(153\) | 16.4155 | + | 9.47749i | 1.32711 | + | 0.766209i | ||||
\(154\) | −21.6004 | + | 21.6004i | −1.74061 | + | 1.74061i | ||||
\(155\) | 2.05498 | + | 0.976276i | 0.165060 | + | 0.0784164i | ||||
\(156\) | 37.1187 | + | 37.1187i | 2.97187 | + | 2.97187i | ||||
\(157\) | −18.3863 | − | 4.92661i | −1.46739 | − | 0.393186i | −0.565355 | − | 0.824848i | \(-0.691261\pi\) |
−0.902035 | + | 0.431662i | \(0.857927\pi\) | |||||||
\(158\) | 23.0248 | + | 23.0248i | 1.83175 | + | 1.83175i | ||||
\(159\) | 4.74291 | 0.376138 | ||||||||
\(160\) | −0.710976 | + | 3.86946i | −0.0562076 | + | 0.305908i | ||||
\(161\) | 20.1133 | − | 5.38934i | 1.58515 | − | 0.424739i | ||||
\(162\) | − | 5.70326i | − | 0.448090i | ||||||
\(163\) | 2.00624 | + | 3.47491i | 0.157141 | + | 0.272176i | 0.933836 | − | 0.357700i | \(-0.116439\pi\) |
−0.776696 | + | 0.629876i | \(0.783106\pi\) | |||||||
\(164\) | 5.52013 | − | 3.18705i | 0.431050 | − | 0.248867i | ||||
\(165\) | 13.9169 | + | 20.1823i | 1.08343 | + | 1.57119i | ||||
\(166\) | 6.38390 | + | 23.8250i | 0.495487 | + | 1.84918i | ||||
\(167\) | −0.0483887 | + | 0.0838117i | −0.00374443 | + | 0.00648554i | −0.867892 | − | 0.496754i | \(-0.834525\pi\) |
0.864147 | + | 0.503239i | \(0.167859\pi\) | |||||||
\(168\) | −20.6324 | − | 35.7364i | −1.59183 | − | 2.75712i | ||||
\(169\) | 5.09942 | + | 8.83245i | 0.392263 | + | 0.679419i | ||||
\(170\) | 3.55677 | − | 19.3576i | 0.272792 | − | 1.48466i | ||||
\(171\) | −0.734545 | − | 0.734545i | −0.0561721 | − | 0.0561721i | ||||
\(172\) | 27.1586 | + | 15.6800i | 2.07082 | + | 1.19559i | ||||
\(173\) | −23.2830 | − | 6.23867i | −1.77018 | − | 0.474318i | −0.781440 | − | 0.623980i | \(-0.785515\pi\) |
−0.988737 | + | 0.149663i | \(0.952181\pi\) | |||||||
\(174\) | 26.8567i | 2.03600i | ||||||||
\(175\) | −13.4135 | − | 9.68224i | −1.01396 | − | 0.731909i | ||||
\(176\) | 9.57683 | − | 5.52918i | 0.721881 | − | 0.416778i | ||||
\(177\) | 8.46936i | 0.636596i | ||||||||
\(178\) | −4.83247 | − | 18.0350i | −0.362209 | − | 1.35178i | ||||
\(179\) | −0.875757 | − | 0.875757i | −0.0654572 | − | 0.0654572i | 0.673620 | − | 0.739078i | \(-0.264738\pi\) |
−0.739078 | + | 0.673620i | \(0.764738\pi\) | |||||||
\(180\) | −41.6386 | + | 14.8175i | −3.10356 | + | 1.10443i | ||||
\(181\) | −11.1020 | + | 19.2293i | −0.825207 | + | 1.42930i | 0.0765536 | + | 0.997065i | \(0.475608\pi\) |
−0.901761 | + | 0.432235i | \(0.857725\pi\) | |||||||
\(182\) | −9.94021 | − | 37.0974i | −0.736817 | − | 2.74984i | ||||
\(183\) | −24.8041 | + | 14.3207i | −1.83357 | + | 1.05861i | ||||
\(184\) | −27.4279 | −2.02201 | ||||||||
\(185\) | 12.4417 | + | 5.49587i | 0.914730 | + | 0.404065i | ||||
\(186\) | −7.01749 | −0.514547 | ||||||||
\(187\) | 12.1170 | − | 6.99573i | 0.886080 | − | 0.511579i | ||||
\(188\) | −2.77224 | − | 10.3462i | −0.202187 | − | 0.754571i | ||||
\(189\) | −10.3683 | + | 17.9585i | −0.754185 | + | 1.30629i | ||||
\(190\) | −0.462856 | + | 0.974271i | −0.0335791 | + | 0.0706810i | ||||
\(191\) | 6.85046 | + | 6.85046i | 0.495682 | + | 0.495682i | 0.910091 | − | 0.414409i | \(-0.136012\pi\) |
−0.414409 | + | 0.910091i | \(0.636012\pi\) | |||||||
\(192\) | −7.41691 | − | 27.6803i | −0.535269 | − | 1.99765i | ||||
\(193\) | 15.9489i | 1.14802i | 0.818847 | + | 0.574012i | \(0.194614\pi\) | ||||
−0.818847 | + | 0.574012i | \(0.805386\pi\) | |||||||
\(194\) | 12.0987 | − | 6.98519i | 0.868636 | − | 0.501507i | ||||
\(195\) | −30.7232 | + | 2.46577i | −2.20014 | + | 0.176578i | ||||
\(196\) | 15.0302i | 1.07359i | ||||||||
\(197\) | −4.70828 | − | 1.26158i | −0.335451 | − | 0.0898839i | 0.0871616 | − | 0.996194i | \(-0.472220\pi\) |
−0.422613 | + | 0.906310i | \(0.638887\pi\) | |||||||
\(198\) | −41.4990 | − | 23.9595i | −2.94921 | − | 1.70273i | ||||
\(199\) | 4.48004 | + | 4.48004i | 0.317582 | + | 0.317582i | 0.847838 | − | 0.530256i | \(-0.177904\pi\) |
−0.530256 | + | 0.847838i | \(0.677904\pi\) | |||||||
\(200\) | 13.7654 | + | 16.8918i | 0.973364 | + | 1.19443i | ||||
\(201\) | −6.24559 | − | 10.8177i | −0.440530 | − | 0.763020i | ||||
\(202\) | 16.5500 | + | 28.6655i | 1.16446 | + | 2.01690i | ||||
\(203\) | 6.44165 | − | 11.1573i | 0.452115 | − | 0.783086i | ||||
\(204\) | 10.3020 | + | 38.4477i | 0.721286 | + | 2.69188i | ||||
\(205\) | −0.676343 | + | 3.68097i | −0.0472378 | + | 0.257090i | ||||
\(206\) | 20.7041 | − | 11.9535i | 1.44252 | − | 0.832840i | ||||
\(207\) | 16.3320 | + | 28.2878i | 1.13515 | + | 1.96614i | ||||
\(208\) | 13.9031i | 0.964009i | ||||||||
\(209\) | −0.740657 | + | 0.198459i | −0.0512323 | + | 0.0137277i | ||||
\(210\) | 50.1862 | + | 9.22123i | 3.46318 | + | 0.636325i | ||||
\(211\) | 16.8511 | 1.16008 | 0.580040 | − | 0.814588i | \(-0.303037\pi\) | ||||
0.580040 | + | 0.814588i | \(0.303037\pi\) | |||||||
\(212\) | 4.46291 | + | 4.46291i | 0.306514 | + | 0.306514i | ||||
\(213\) | 27.3107 | + | 7.31788i | 1.87130 | + | 0.501413i | ||||
\(214\) | −17.9655 | − | 17.9655i | −1.22810 | − | 1.22810i | ||||
\(215\) | −17.3476 | + | 6.17330i | −1.18309 | + | 0.421015i | ||||
\(216\) | 19.3142 | − | 19.3142i | 1.31417 | − | 1.31417i | ||||
\(217\) | 2.91532 | + | 1.68316i | 0.197905 | + | 0.114260i | ||||
\(218\) | 6.29643 | − | 1.68712i | 0.426448 | − | 0.114266i | ||||
\(219\) | −29.8009 | − | 17.2056i | −2.01376 | − | 1.16264i | ||||
\(220\) | −5.89552 | + | 32.0861i | −0.397476 | + | 2.16325i | ||||
\(221\) | 17.5908i | 1.18328i | ||||||||
\(222\) | −41.9376 | + | 1.15596i | −2.81467 | + | 0.0775829i | ||||
\(223\) | −8.93775 | − | 8.93775i | −0.598516 | − | 0.598516i | 0.341401 | − | 0.939918i | \(-0.389098\pi\) |
−0.939918 | + | 0.341401i | \(0.889098\pi\) | |||||||
\(224\) | −1.50665 | + | 5.62291i | −0.100668 | + | 0.375696i | ||||
\(225\) | 9.22478 | − | 24.2553i | 0.614985 | − | 1.61702i | ||||
\(226\) | −3.13362 | − | 1.80920i | −0.208446 | − | 0.120346i | ||||
\(227\) | −2.27817 | + | 3.94591i | −0.151208 | + | 0.261900i | −0.931672 | − | 0.363301i | \(-0.881650\pi\) |
0.780464 | + | 0.625201i | \(0.214983\pi\) | |||||||
\(228\) | − | 2.18141i | − | 0.144467i | ||||||
\(229\) | −8.60825 | − | 4.96998i | −0.568849 | − | 0.328425i | 0.187840 | − | 0.982200i | \(-0.439851\pi\) |
−0.756690 | + | 0.653774i | \(0.773185\pi\) | |||||||
\(230\) | 21.9869 | − | 25.8241i | 1.44977 | − | 1.70279i | ||||
\(231\) | 18.1370 | + | 31.4143i | 1.19333 | + | 2.06691i | ||||
\(232\) | −11.9996 | + | 11.9996i | −0.787810 | + | 0.787810i | ||||
\(233\) | −4.32337 | + | 4.32337i | −0.283233 | + | 0.283233i | −0.834397 | − | 0.551164i | \(-0.814184\pi\) |
0.551164 | + | 0.834397i | \(0.314184\pi\) | |||||||
\(234\) | 52.1747 | − | 30.1231i | 3.41076 | − | 1.96921i | ||||
\(235\) | 5.68063 | + | 2.69875i | 0.370564 | + | 0.176047i | ||||
\(236\) | −7.96936 | + | 7.96936i | −0.518761 | + | 0.518761i | ||||
\(237\) | 33.4857 | − | 19.3330i | 2.17513 | − | 1.25581i | ||||
\(238\) | 7.53727 | − | 28.1295i | 0.488569 | − | 1.82336i | ||||
\(239\) | −16.8687 | − | 4.51994i | −1.09114 | − | 0.292371i | −0.331990 | − | 0.943283i | \(-0.607720\pi\) |
−0.759153 | + | 0.650912i | \(0.774387\pi\) | |||||||
\(240\) | −16.6846 | − | 7.92651i | −1.07699 | − | 0.511654i | ||||
\(241\) | 17.3378 | − | 4.64564i | 1.11682 | − | 0.299252i | 0.347227 | − | 0.937781i | \(-0.387123\pi\) |
0.769598 | + | 0.638529i | \(0.220457\pi\) | |||||||
\(242\) | −7.67344 | + | 4.43026i | −0.493267 | + | 0.284788i | ||||
\(243\) | 11.6203 | + | 3.11365i | 0.745443 | + | 0.199741i | ||||
\(244\) | −36.8150 | − | 9.86455i | −2.35684 | − | 0.631513i | ||||
\(245\) | −6.71951 | − | 5.72106i | −0.429294 | − | 0.365505i | ||||
\(246\) | −2.98780 | − | 11.1506i | −0.190495 | − | 0.710938i | ||||
\(247\) | 0.249512 | − | 0.931192i | 0.0158761 | − | 0.0592503i | ||||
\(248\) | −3.13541 | − | 3.13541i | −0.199099 | − | 0.199099i | ||||
\(249\) | 29.2893 | 1.85613 | ||||||||
\(250\) | −26.9388 | − | 0.580394i | −1.70376 | − | 0.0367073i | ||||
\(251\) | 4.17213 | − | 4.17213i | 0.263342 | − | 0.263342i | −0.563068 | − | 0.826410i | \(-0.690379\pi\) |
0.826410 | + | 0.563068i | \(0.190379\pi\) | |||||||
\(252\) | −63.1667 | + | 16.9255i | −3.97913 | + | 1.06620i | ||||
\(253\) | 24.1106 | 1.51582 | ||||||||
\(254\) | 21.4900 | − | 5.75823i | 1.34840 | − | 0.361303i | ||||
\(255\) | −21.1100 | − | 10.0289i | −1.32196 | − | 0.628035i | ||||
\(256\) | 14.8268 | − | 25.6807i | 0.926673 | − | 1.60504i | ||||
\(257\) | −3.27217 | − | 5.66757i | −0.204112 | − | 0.353533i | 0.745737 | − | 0.666240i | \(-0.232097\pi\) |
−0.949850 | + | 0.312707i | \(0.898764\pi\) | |||||||
\(258\) | 40.1604 | − | 40.1604i | 2.50028 | − | 2.50028i | ||||
\(259\) | 17.6997 | + | 9.57861i | 1.09980 | + | 0.595186i | ||||
\(260\) | −31.2297 | − | 26.5893i | −1.93678 | − | 1.64900i | ||||
\(261\) | 19.5209 | + | 5.23062i | 1.20832 | + | 0.323767i | ||||
\(262\) | −30.0816 | + | 8.06035i | −1.85845 | + | 0.497970i | ||||
\(263\) | −4.03754 | − | 15.0683i | −0.248966 | − | 0.929152i | −0.971349 | − | 0.237659i | \(-0.923620\pi\) |
0.722383 | − | 0.691493i | \(-0.243047\pi\) | |||||||
\(264\) | −12.3665 | − | 46.1523i | −0.761104 | − | 2.84048i | ||||
\(265\) | −3.69397 | + | 0.296469i | −0.226918 | + | 0.0182119i | ||||
\(266\) | −0.797992 | + | 1.38216i | −0.0489280 | + | 0.0847458i | ||||
\(267\) | −22.1713 | −1.35686 | ||||||||
\(268\) | 4.30217 | − | 16.0559i | 0.262797 | − | 0.980771i | ||||
\(269\) | 7.86183i | 0.479344i | 0.970854 | + | 0.239672i | \(0.0770399\pi\) | ||||
−0.970854 | + | 0.239672i | \(0.922960\pi\) | |||||||
\(270\) | 2.70208 | + | 33.6676i | 0.164443 | + | 2.04895i | ||||
\(271\) | 3.92717 | + | 6.80205i | 0.238558 | + | 0.413195i | 0.960301 | − | 0.278966i | \(-0.0899918\pi\) |
−0.721742 | + | 0.692162i | \(0.756658\pi\) | |||||||
\(272\) | −5.27110 | + | 9.12982i | −0.319608 | + | 0.553577i | ||||
\(273\) | −45.6056 | −2.76017 | ||||||||
\(274\) | −3.96021 | + | 14.7797i | −0.239245 | + | 0.892876i | ||||
\(275\) | −12.1006 | − | 14.8489i | −0.729693 | − | 0.895420i | ||||
\(276\) | −17.7529 | + | 66.2546i | −1.06860 | + | 3.98806i | ||||
\(277\) | −9.80127 | − | 5.65877i | −0.588901 | − | 0.340002i | 0.175762 | − | 0.984433i | \(-0.443761\pi\) |
−0.764663 | + | 0.644430i | \(0.777095\pi\) | |||||||
\(278\) | −4.51526 | − | 2.60689i | −0.270807 | − | 0.156351i | ||||
\(279\) | −1.36673 | + | 5.10069i | −0.0818238 | + | 0.305370i | ||||
\(280\) | 18.3031 | + | 26.5432i | 1.09382 | + | 1.58626i | ||||
\(281\) | 2.73330 | − | 10.2008i | 0.163055 | − | 0.608530i | −0.835225 | − | 0.549908i | \(-0.814663\pi\) |
0.998280 | − | 0.0586219i | \(-0.0186706\pi\) | |||||||
\(282\) | −19.3987 | −1.15517 | ||||||||
\(283\) | 8.39783 | − | 14.5455i | 0.499199 | − | 0.864639i | −0.500800 | − | 0.865563i | \(-0.666961\pi\) |
1.00000 | 0.000924208i | \(0.000294185\pi\) | ||||||||
\(284\) | 18.8125 | + | 32.5842i | 1.11632 | + | 1.93352i | ||||
\(285\) | 0.975233 | + | 0.830324i | 0.0577678 | + | 0.0491841i | ||||
\(286\) | − | 44.4702i | − | 2.62958i | ||||||
\(287\) | −1.43326 | + | 5.34900i | −0.0846027 | + | 0.315742i | ||||
\(288\) | −9.13160 | −0.538085 | ||||||||
\(289\) | 1.83080 | − | 3.17104i | 0.107694 | − | 0.186532i | ||||
\(290\) | −1.67875 | − | 20.9171i | −0.0985798 | − | 1.22829i | ||||
\(291\) | −4.29361 | − | 16.0240i | −0.251696 | − | 0.939343i | ||||
\(292\) | −11.8518 | − | 44.2314i | −0.693572 | − | 2.58845i | ||||
\(293\) | −25.2799 | + | 6.77373i | −1.47687 | + | 0.395725i | −0.905280 | − | 0.424816i | \(-0.860339\pi\) |
−0.571587 | + | 0.820541i | \(0.693672\pi\) | |||||||
\(294\) | 26.2933 | + | 7.04528i | 1.53346 | + | 0.410889i | ||||
\(295\) | −0.529400 | − | 6.59626i | −0.0308229 | − | 0.384049i | ||||
\(296\) | −19.2542 | − | 18.2212i | −1.11913 | − | 1.05909i | ||||
\(297\) | −16.9783 | + | 16.9783i | −0.985179 | + | 0.985179i | ||||
\(298\) | −4.83654 | − | 8.37713i | −0.280173 | − | 0.485274i | ||||
\(299\) | −15.1566 | + | 26.2519i | −0.876526 | + | 1.51819i | ||||
\(300\) | 49.7135 | − | 22.3183i | 2.87021 | − | 1.28855i | ||||
\(301\) | −26.3167 | + | 7.05153i | −1.51687 | + | 0.406443i | ||||
\(302\) | 14.7343 | 0.847865 | ||||||||
\(303\) | 37.9657 | − | 10.1729i | 2.18107 | − | 0.584417i | ||||
\(304\) | 0.408533 | − | 0.408533i | 0.0234310 | − | 0.0234310i | ||||
\(305\) | 18.4233 | − | 12.7039i | 1.05491 | − | 0.727425i | ||||
\(306\) | 45.6823 | 2.61148 | ||||||||
\(307\) | 20.7366 | + | 20.7366i | 1.18350 | + | 1.18350i | 0.978831 | + | 0.204668i | \(0.0656114\pi\) |
0.204668 | + | 0.978831i | \(0.434389\pi\) | |||||||
\(308\) | −12.4934 | + | 46.6260i | −0.711877 | + | 2.65676i | ||||
\(309\) | −7.34751 | − | 27.4213i | −0.417985 | − | 1.55994i | ||||
\(310\) | 5.46549 | − | 0.438647i | 0.310419 | − | 0.0249135i | ||||
\(311\) | −20.8040 | − | 5.57443i | −1.17969 | − | 0.316097i | −0.384886 | − | 0.922964i | \(-0.625759\pi\) |
−0.794803 | + | 0.606868i | \(0.792426\pi\) | |||||||
\(312\) | 58.0250 | + | 15.5478i | 3.28502 | + | 0.880219i | ||||
\(313\) | −18.5974 | + | 10.7372i | −1.05119 | + | 0.606903i | −0.922981 | − | 0.384845i | \(-0.874255\pi\) |
−0.128205 | + | 0.991748i | \(0.540922\pi\) | |||||||
\(314\) | −44.3119 | + | 11.8733i | −2.50066 | + | 0.670051i | ||||
\(315\) | 16.4768 | − | 34.6821i | 0.928360 | − | 1.95412i | ||||
\(316\) | 49.7006 | + | 13.3172i | 2.79587 | + | 0.749152i | ||||
\(317\) | 4.21491 | − | 15.7303i | 0.236733 | − | 0.883500i | −0.740627 | − | 0.671917i | \(-0.765471\pi\) |
0.977360 | − | 0.211583i | \(-0.0678620\pi\) | |||||||
\(318\) | 9.89921 | − | 5.71531i | 0.555120 | − | 0.320499i | ||||
\(319\) | 10.5483 | − | 10.5483i | 0.590590 | − | 0.590590i | ||||
\(320\) | 7.50681 | + | 21.0949i | 0.419643 | + | 1.17924i | ||||
\(321\) | −26.1279 | + | 15.0849i | −1.45832 | + | 0.841960i | ||||
\(322\) | 35.4853 | − | 35.4853i | 1.97752 | − | 1.97752i | ||||
\(323\) | 0.516891 | − | 0.516891i | 0.0287606 | − | 0.0287606i | ||||
\(324\) | −4.50609 | − | 7.80477i | −0.250338 | − | 0.433599i | ||||
\(325\) | 23.7743 | − | 3.84088i | 1.31876 | − | 0.213054i | ||||
\(326\) | 8.37467 | + | 4.83512i | 0.463830 | + | 0.267792i | ||||
\(327\) | − | 7.74051i | − | 0.428051i | ||||||
\(328\) | 3.64714 | − | 6.31704i | 0.201380 | − | 0.348800i | ||||
\(329\) | 8.05891 | + | 4.65281i | 0.444302 | + | 0.256518i | ||||
\(330\) | 53.3669 | + | 25.3535i | 2.93775 | + | 1.39566i | ||||
\(331\) | 0.527429 | − | 1.96839i | 0.0289901 | − | 0.108193i | −0.949915 | − | 0.312509i | \(-0.898831\pi\) |
0.978905 | + | 0.204317i | \(0.0654972\pi\) | |||||||
\(332\) | 27.5602 | + | 27.5602i | 1.51256 | + | 1.51256i | ||||
\(333\) | −7.32756 | + | 30.7077i | −0.401548 | + | 1.68277i | ||||
\(334\) | 0.233238i | 0.0127622i | ||||||||
\(335\) | 5.54049 | + | 8.03482i | 0.302709 | + | 0.438989i | ||||
\(336\) | −23.6698 | − | 13.6658i | −1.29130 | − | 0.745530i | ||||
\(337\) | −22.7915 | + | 6.10698i | −1.24153 | + | 0.332668i | −0.819061 | − | 0.573707i | \(-0.805505\pi\) |
−0.422474 | + | 0.906375i | \(0.638838\pi\) | |||||||
\(338\) | 21.2866 | + | 12.2898i | 1.15784 | + | 0.668477i | ||||
\(339\) | −3.03822 | + | 3.03822i | −0.165014 | + | 0.165014i | ||||
\(340\) | −10.4269 | − | 29.3006i | −0.565478 | − | 1.58905i | ||||
\(341\) | 2.75620 | + | 2.75620i | 0.149256 | + | 0.149256i | ||||
\(342\) | −2.41825 | − | 0.647969i | −0.130764 | − | 0.0350382i | ||||
\(343\) | 7.14325 | + | 7.14325i | 0.385699 | + | 0.385699i | ||||
\(344\) | 35.8873 | 1.93491 | ||||||||
\(345\) | −22.8628 | − | 33.1556i | −1.23089 | − | 1.78504i | ||||
\(346\) | −56.1131 | + | 15.0355i | −3.01666 | + | 0.808311i | ||||
\(347\) | − | 14.0955i | − | 0.756686i | −0.925666 | − | 0.378343i | \(-0.876494\pi\) | ||
0.925666 | − | 0.378343i | \(-0.123506\pi\) | |||||||
\(348\) | 21.2192 | + | 36.7528i | 1.13747 | + | 1.97016i | ||||
\(349\) | −0.262906 | + | 0.151789i | −0.0140730 | + | 0.00812507i | −0.507020 | − | 0.861934i | \(-0.669253\pi\) |
0.492947 | + | 0.870059i | \(0.335920\pi\) | |||||||
\(350\) | −39.6634 | − | 4.04482i | −2.12010 | − | 0.216205i | ||||
\(351\) | −7.81315 | − | 29.1591i | −0.417035 | − | 1.55640i | ||||
\(352\) | −3.37021 | + | 5.83737i | −0.179633 | + | 0.311133i | ||||
\(353\) | 5.10891 | + | 8.84890i | 0.271920 | + | 0.470979i | 0.969353 | − | 0.245670i | \(-0.0790080\pi\) |
−0.697433 | + | 0.716650i | \(0.745675\pi\) | |||||||
\(354\) | 10.2058 | + | 17.6769i | 0.542430 | + | 0.939516i | ||||
\(355\) | −21.7281 | − | 3.99232i | −1.15321 | − | 0.211890i | ||||
\(356\) | −20.8624 | − | 20.8624i | −1.10571 | − | 1.10571i | ||||
\(357\) | −29.9480 | − | 17.2905i | −1.58501 | − | 0.915109i | ||||
\(358\) | −2.88315 | − | 0.772537i | −0.152379 | − | 0.0408299i | ||||
\(359\) | 22.6920i | 1.19764i | 0.800885 | + | 0.598818i | \(0.204363\pi\) | ||||
−0.800885 | + | 0.598818i | \(0.795637\pi\) | |||||||
\(360\) | −32.7875 | + | 38.5097i | −1.72805 | + | 2.02964i | ||||
\(361\) | 16.4198 | − | 9.47997i | 0.864199 | − | 0.498946i | ||||
\(362\) | 53.5127i | 2.81257i | ||||||||
\(363\) | 2.72317 | + | 10.1630i | 0.142929 | + | 0.533419i | ||||
\(364\) | −42.9132 | − | 42.9132i | −2.24926 | − | 2.24926i | ||||
\(365\) | 24.2856 | + | 11.5376i | 1.27117 | + | 0.603904i | ||||
\(366\) | −34.5134 | + | 59.7790i | −1.80404 | + | 3.12470i | ||||
\(367\) | −5.46883 | − | 20.4099i | −0.285471 | − | 1.06539i | −0.948495 | − | 0.316793i | \(-0.897394\pi\) |
0.663024 | − | 0.748598i | \(-0.269273\pi\) | |||||||
\(368\) | −15.7329 | + | 9.08338i | −0.820133 | + | 0.473504i | ||||
\(369\) | −8.68678 | −0.452216 | ||||||||
\(370\) | 32.5904 | − | 3.52173i | 1.69429 | − | 0.183086i | ||||
\(371\) | −5.48332 | −0.284680 | ||||||||
\(372\) | −9.60327 | + | 5.54445i | −0.497906 | + | 0.287466i | ||||
\(373\) | −8.74451 | − | 32.6350i | −0.452774 | − | 1.68977i | −0.694552 | − | 0.719443i | \(-0.744397\pi\) |
0.241778 | − | 0.970332i | \(-0.422269\pi\) | |||||||
\(374\) | 16.8600 | − | 29.2024i | 0.871810 | − | 1.51002i | ||||
\(375\) | −8.94501 | + | 30.7204i | −0.461918 | + | 1.58639i | ||||
\(376\) | −8.66731 | − | 8.66731i | −0.446982 | − | 0.446982i | ||||
\(377\) | 4.85417 | + | 18.1160i | 0.250002 | + | 0.933021i | ||||
\(378\) | 49.9762i | 2.57050i | ||||||||
\(379\) | −19.4812 | + | 11.2475i | −1.00068 | + | 0.577745i | −0.908451 | − | 0.417992i | \(-0.862734\pi\) |
−0.0922334 | + | 0.995737i | \(0.529401\pi\) | |||||||
\(380\) | 0.136355 | + | 1.69896i | 0.00699486 | + | 0.0871550i | ||||
\(381\) | − | 26.4187i | − | 1.35347i | ||||||
\(382\) | 22.5529 | + | 6.04304i | 1.15391 | + | 0.309189i | ||||
\(383\) | 26.3595 | + | 15.2186i | 1.34691 | + | 0.777636i | 0.987810 | − | 0.155665i | \(-0.0497520\pi\) |
0.359095 | + | 0.933301i | \(0.383085\pi\) | |||||||
\(384\) | −41.7147 | − | 41.7147i | −2.12874 | − | 2.12874i | ||||
\(385\) | −16.0895 | − | 23.3329i | −0.819995 | − | 1.18916i | ||||
\(386\) | 19.2187 | + | 33.2878i | 0.978207 | + | 1.69430i | ||||
\(387\) | −21.3691 | − | 37.0124i | −1.08625 | − | 1.88145i | ||||
\(388\) | 11.0379 | − | 19.1181i | 0.560362 | − | 0.970576i | ||||
\(389\) | −4.77983 | − | 17.8386i | −0.242347 | − | 0.904451i | −0.974698 | − | 0.223524i | \(-0.928244\pi\) |
0.732352 | − | 0.680927i | \(-0.238423\pi\) | |||||||
\(390\) | −61.1529 | + | 42.1686i | −3.09660 | + | 2.13529i | ||||
\(391\) | −19.9058 | + | 11.4926i | −1.00668 | + | 0.581207i | ||||
\(392\) | 8.60002 | + | 14.8957i | 0.434367 | + | 0.752345i | ||||
\(393\) | 36.9808i | 1.86544i | ||||||||
\(394\) | −11.3472 | + | 3.04046i | −0.571662 | + | 0.153176i | ||||
\(395\) | −24.8715 | + | 17.1504i | −1.25142 | + | 0.862931i | ||||
\(396\) | −75.7206 | −3.80510 | ||||||||
\(397\) | 4.06450 | + | 4.06450i | 0.203991 | + | 0.203991i | 0.801708 | − | 0.597716i | \(-0.203925\pi\) |
−0.597716 | + | 0.801708i | \(0.703925\pi\) | |||||||
\(398\) | 14.7491 | + | 3.95201i | 0.739306 | + | 0.198096i | ||||
\(399\) | 1.34008 | + | 1.34008i | 0.0670881 | + | 0.0670881i | ||||
\(400\) | 13.4901 | + | 5.13055i | 0.674504 | + | 0.256528i | ||||
\(401\) | 19.6031 | − | 19.6031i | 0.978932 | − | 0.978932i | −0.0208505 | − | 0.999783i | \(-0.506637\pi\) |
0.999783 | + | 0.0208505i | \(0.00663741\pi\) | |||||||
\(402\) | −26.0710 | − | 15.0521i | −1.30031 | − | 0.750732i | ||||
\(403\) | −4.73359 | + | 1.26836i | −0.235797 | + | 0.0631816i | ||||
\(404\) | 45.2967 | + | 26.1520i | 2.25359 | + | 1.30111i | ||||
\(405\) | 5.20443 | + | 0.956264i | 0.258610 | + | 0.0475171i | ||||
\(406\) | − | 31.0493i | − | 1.54095i | ||||||
\(407\) | 16.9255 | + | 16.0174i | 0.838965 | + | 0.793955i | ||||
\(408\) | 32.2089 | + | 32.2089i | 1.59458 | + | 1.59458i | ||||
\(409\) | 0.725906 | − | 2.70912i | 0.0358938 | − | 0.133957i | −0.945654 | − | 0.325175i | \(-0.894577\pi\) |
0.981548 | + | 0.191217i | \(0.0612436\pi\) | |||||||
\(410\) | 3.02401 | + | 8.49777i | 0.149345 | + | 0.419675i | ||||
\(411\) | 15.7352 | + | 9.08471i | 0.776159 | + | 0.448116i | ||||
\(412\) | 18.8887 | − | 32.7162i | 0.930579 | − | 1.61181i | ||||
\(413\) | − | 9.79149i | − | 0.481808i | ||||||
\(414\) | 68.1748 | + | 39.3608i | 3.35061 | + | 1.93448i | ||||
\(415\) | −22.8116 | + | 1.83081i | −1.11978 | + | 0.0898707i | ||||
\(416\) | −4.23720 | − | 7.33904i | −0.207746 | − | 0.359826i | ||||
\(417\) | −4.37780 | + | 4.37780i | −0.214382 | + | 0.214382i | ||||
\(418\) | −1.30672 | + | 1.30672i | −0.0639138 | + | 0.0639138i | ||||
\(419\) | 14.6517 | − | 8.45914i | 0.715780 | − | 0.413256i | −0.0974173 | − | 0.995244i | \(-0.531058\pi\) |
0.813198 | + | 0.581988i | \(0.197725\pi\) | |||||||
\(420\) | 75.9643 | − | 27.0326i | 3.70668 | − | 1.31906i | ||||
\(421\) | 18.8168 | − | 18.8168i | 0.917075 | − | 0.917075i | −0.0797407 | − | 0.996816i | \(-0.525409\pi\) |
0.996816 | + | 0.0797407i | \(0.0254092\pi\) | |||||||
\(422\) | 35.1710 | − | 20.3060i | 1.71210 | − | 0.988479i | ||||
\(423\) | −3.77808 | + | 14.1000i | −0.183697 | + | 0.685565i | ||||
\(424\) | 6.97656 | + | 1.86936i | 0.338812 | + | 0.0907843i | ||||
\(425\) | 17.0682 | + | 6.49137i | 0.827927 | + | 0.314878i | ||||
\(426\) | 65.8199 | − | 17.6364i | 3.18899 | − | 0.854486i | ||||
\(427\) | 28.6762 | − | 16.5562i | 1.38774 | − | 0.801212i | ||||
\(428\) | −38.7798 | − | 10.3910i | −1.87449 | − | 0.502269i | ||||
\(429\) | −51.0072 | − | 13.6673i | −2.46265 | − | 0.659865i | ||||
\(430\) | −28.7681 | + | 33.7888i | −1.38732 | + | 1.62944i | ||||
\(431\) | 6.42074 | + | 23.9625i | 0.309276 | + | 1.15423i | 0.929201 | + | 0.369574i | \(0.120496\pi\) |
−0.619925 | + | 0.784661i | \(0.712837\pi\) | |||||||
\(432\) | 4.68245 | − | 17.4751i | 0.225284 | − | 0.840773i | ||||
\(433\) | 23.0428 | + | 23.0428i | 1.10736 | + | 1.10736i | 0.993496 | + | 0.113869i | \(0.0363244\pi\) |
0.113869 | + | 0.993496i | \(0.463676\pi\) | |||||||
\(434\) | 8.11297 | 0.389435 | ||||||||
\(435\) | −24.5078 | − | 4.50306i | −1.17506 | − | 0.215905i | ||||
\(436\) | 7.28354 | − | 7.28354i | 0.348818 | − | 0.348818i | ||||
\(437\) | 1.21676 | − | 0.326029i | 0.0582053 | − | 0.0155961i | ||||
\(438\) | −82.9323 | −3.96266 | ||||||||
\(439\) | 36.3720 | − | 9.74585i | 1.73594 | − | 0.465144i | 0.754404 | − | 0.656411i | \(-0.227926\pi\) |
0.981538 | + | 0.191266i | \(0.0612595\pi\) | |||||||
\(440\) | 12.5164 | + | 35.1722i | 0.596695 | + | 1.67677i | ||||
\(441\) | 10.2418 | − | 17.7393i | 0.487704 | − | 0.844728i | ||||
\(442\) | 21.1972 | + | 36.7147i | 1.00825 | + | 1.74634i | ||||
\(443\) | −1.84855 | + | 1.84855i | −0.0878273 | + | 0.0878273i | −0.749656 | − | 0.661828i | \(-0.769781\pi\) |
0.661828 | + | 0.749656i | \(0.269781\pi\) | |||||||
\(444\) | −56.4773 | + | 34.7164i | −2.68030 | + | 1.64757i | ||||
\(445\) | 17.2679 | − | 1.38588i | 0.818576 | − | 0.0656969i | ||||
\(446\) | −29.4247 | − | 7.88432i | −1.39330 | − | 0.373333i | ||||
\(447\) | −11.0950 | + | 2.97290i | −0.524775 | + | 0.140613i | ||||
\(448\) | 8.57475 | + | 32.0014i | 0.405119 | + | 1.51192i | ||||
\(449\) | −6.60058 | − | 24.6337i | −0.311501 | − | 1.16254i | −0.927203 | − | 0.374558i | \(-0.877794\pi\) |
0.615703 | − | 0.787978i | \(-0.288872\pi\) | |||||||
\(450\) | −9.97456 | − | 61.7406i | −0.470205 | − | 2.91048i | ||||
\(451\) | −3.20604 | + | 5.55302i | −0.150966 | + | 0.261482i | ||||
\(452\) | −5.71772 | −0.268939 | ||||||||
\(453\) | 4.52840 | − | 16.9002i | 0.212763 | − | 0.794042i | ||||
\(454\) | 10.9810i | 0.515364i | ||||||||
\(455\) | 35.5194 | − | 2.85070i | 1.66517 | − | 0.133643i | ||||
\(456\) | −1.24816 | − | 2.16188i | −0.0584505 | − | 0.101239i | ||||
\(457\) | −7.45242 | + | 12.9080i | −0.348610 | + | 0.603810i | −0.986003 | − | 0.166729i | \(-0.946679\pi\) |
0.637393 | + | 0.770539i | \(0.280013\pi\) | |||||||
\(458\) | −23.9557 | −1.11938 | ||||||||
\(459\) | 5.92441 | − | 22.1102i | 0.276528 | − | 1.03202i | ||||
\(460\) | 9.68519 | − | 52.7113i | 0.451574 | − | 2.45768i | ||||
\(461\) | −4.71367 | + | 17.5916i | −0.219537 | + | 0.819324i | 0.764983 | + | 0.644051i | \(0.222748\pi\) |
−0.984520 | + | 0.175273i | \(0.943919\pi\) | |||||||
\(462\) | 75.7097 | + | 43.7110i | 3.52233 | + | 2.03362i | ||||
\(463\) | 2.53811 | + | 1.46538i | 0.117956 | + | 0.0681020i | 0.557817 | − | 0.829964i | \(-0.311639\pi\) |
−0.439861 | + | 0.898066i | \(0.644972\pi\) | |||||||
\(464\) | −2.90912 | + | 10.8570i | −0.135052 | + | 0.504023i | ||||
\(465\) | 1.17662 | − | 6.40372i | 0.0545645 | − | 0.296965i | ||||
\(466\) | −3.81380 | + | 14.2333i | −0.176671 | + | 0.659345i | ||||
\(467\) | 28.1234 | 1.30139 | 0.650697 | − | 0.759338i | \(-0.274477\pi\) | ||||
0.650697 | + | 0.759338i | \(0.274477\pi\) | |||||||
\(468\) | 47.5999 | − | 82.4454i | 2.20030 | − | 3.81104i | ||||
\(469\) | 7.22057 | + | 12.5064i | 0.333415 | + | 0.577492i | ||||
\(470\) | 15.1084 | − | 1.21257i | 0.696900 | − | 0.0559315i | ||||
\(471\) | 54.4747i | 2.51006i | ||||||||
\(472\) | −3.33810 | + | 12.4579i | −0.153648 | + | 0.573423i | ||||
\(473\) | −31.5469 | −1.45053 | ||||||||
\(474\) | 46.5934 | − | 80.7021i | 2.14010 | − | 3.70677i | ||||
\(475\) | −0.811451 | − | 0.585729i | −0.0372319 | − | 0.0268751i | ||||
\(476\) | −11.9103 | − | 44.4497i | −0.545906 | − | 2.03735i | ||||
\(477\) | −2.22623 | − | 8.30840i | −0.101932 | − | 0.380415i | ||||
\(478\) | −40.6542 | + | 10.8933i | −1.85948 | + | 0.498246i | ||||
\(479\) | −9.28936 | − | 2.48908i | −0.424442 | − | 0.113729i | 0.0402742 | − | 0.999189i | \(-0.487177\pi\) |
−0.464716 | + | 0.885460i | \(0.653844\pi\) | |||||||
\(480\) | 11.2230 | − | 0.900732i | 0.512258 | − | 0.0411126i | ||||
\(481\) | −28.0798 | + | 8.35967i | −1.28033 | + | 0.381168i | ||||
\(482\) | 30.5886 | − | 30.5886i | 1.39327 | − | 1.39327i | ||||
\(483\) | −29.7956 | − | 51.6075i | −1.35575 | − | 2.34822i | ||||
\(484\) | −7.00061 | + | 12.1254i | −0.318210 | + | 0.551155i | ||||
\(485\) | 4.34566 | + | 12.2117i | 0.197326 | + | 0.554506i | ||||
\(486\) | 28.0054 | − | 7.50403i | 1.27035 | − | 0.340390i | ||||
\(487\) | −40.7067 | −1.84460 | −0.922299 | − | 0.386478i | \(-0.873692\pi\) | ||||
−0.922299 | + | 0.386478i | \(0.873692\pi\) | |||||||
\(488\) | −42.1298 | + | 11.2886i | −1.90712 | + | 0.511013i | ||||
\(489\) | 8.11971 | − | 8.11971i | 0.367186 | − | 0.367186i | ||||
\(490\) | −20.9187 | − | 3.84360i | −0.945009 | − | 0.173636i | ||||
\(491\) | −24.6780 | −1.11370 | −0.556852 | − | 0.830612i | \(-0.687991\pi\) | ||||
−0.556852 | + | 0.830612i | \(0.687991\pi\) | |||||||
\(492\) | −12.8987 | − | 12.8987i | −0.581520 | − | 0.581520i | ||||
\(493\) | −3.68073 | + | 13.7367i | −0.165772 | + | 0.618668i | ||||
\(494\) | −0.601334 | − | 2.24421i | −0.0270553 | − | 0.100972i | ||||
\(495\) | 28.8220 | − | 33.8521i | 1.29545 | − | 1.52154i | ||||
\(496\) | −2.83686 | − | 0.760134i | −0.127379 | − | 0.0341310i | ||||
\(497\) | −31.5741 | − | 8.46026i | −1.41629 | − | 0.379494i | ||||
\(498\) | 61.1313 | − | 35.2942i | 2.73936 | − | 1.58157i | ||||
\(499\) | 17.9866 | − | 4.81949i | 0.805189 | − | 0.215750i | 0.167328 | − | 0.985901i | \(-0.446486\pi\) |
0.637861 | + | 0.770151i | \(0.279819\pi\) | |||||||
\(500\) | −37.3237 | + | 20.4899i | −1.66917 | + | 0.916334i | ||||
\(501\) | 0.267523 | + | 0.0716825i | 0.0119520 | + | 0.00320254i | ||||
\(502\) | 3.68038 | − | 13.7354i | 0.164264 | − | 0.613040i | ||||
\(503\) | −4.20923 | + | 2.43020i | −0.187680 | + | 0.108357i | −0.590896 | − | 0.806748i | \(-0.701226\pi\) |
0.403216 | + | 0.915105i | \(0.367892\pi\) | |||||||
\(504\) | −52.9168 | + | 52.9168i | −2.35710 | + | 2.35710i | ||||
\(505\) | −28.9333 | + | 10.2962i | −1.28751 | + | 0.458174i | ||||
\(506\) | 50.3227 | − | 29.0538i | 2.23712 | − | 1.29160i | ||||
\(507\) | 20.6385 | − | 20.6385i | 0.916589 | − | 0.916589i | ||||
\(508\) | 24.8590 | − | 24.8590i | 1.10294 | − | 1.10294i | ||||
\(509\) | 7.24280 | + | 12.5449i | 0.321032 | + | 0.556043i | 0.980701 | − | 0.195513i | \(-0.0626371\pi\) |
−0.659670 | + | 0.751556i | \(0.729304\pi\) | |||||||
\(510\) | −56.1449 | + | 4.50606i | −2.48614 | + | 0.199532i | ||||
\(511\) | 34.4531 | + | 19.8915i | 1.52411 | + | 0.879948i | ||||
\(512\) | − | 30.2384i | − | 1.33636i | ||||||
\(513\) | −0.627233 | + | 1.08640i | −0.0276930 | + | 0.0479657i | ||||
\(514\) | −13.6591 | − | 7.88607i | −0.602476 | − | 0.347840i | ||||
\(515\) | 7.43657 | + | 20.8975i | 0.327694 | + | 0.920853i | ||||
\(516\) | 23.2282 | − | 86.6889i | 1.02257 | − | 3.81627i | ||||
\(517\) | 7.61904 | + | 7.61904i | 0.335085 | + | 0.335085i | ||||
\(518\) | 48.4844 | − | 1.33641i | 2.13028 | − | 0.0587186i | ||||
\(519\) | 68.9825i | 3.02800i | ||||||||
\(520\) | −46.1640 | − | 8.48218i | −2.02443 | − | 0.371968i | ||||
\(521\) | 10.7815 | + | 6.22469i | 0.472345 | + | 0.272709i | 0.717221 | − | 0.696846i | \(-0.245414\pi\) |
−0.244876 | + | 0.969554i | \(0.578747\pi\) | |||||||
\(522\) | 47.0463 | − | 12.6060i | 2.05916 | − | 0.551750i | ||||
\(523\) | −12.5009 | − | 7.21741i | −0.546627 | − | 0.315595i | 0.201133 | − | 0.979564i | \(-0.435538\pi\) |
−0.747760 | + | 0.663969i | \(0.768871\pi\) | |||||||
\(524\) | −34.7976 | + | 34.7976i | −1.52014 | + | 1.52014i | ||||
\(525\) | −16.8294 | + | 44.2507i | −0.734496 | + | 1.93126i | ||||
\(526\) | −26.5846 | − | 26.5846i | −1.15914 | − | 1.15914i | ||||
\(527\) | −3.58930 | − | 0.961749i | −0.156352 | − | 0.0418945i | ||||
\(528\) | −22.3779 | − | 22.3779i | −0.973873 | − | 0.973873i | ||||
\(529\) | −16.6091 | −0.722135 | ||||||||
\(530\) | −7.35264 | + | 5.07008i | −0.319378 | + | 0.220230i | ||||
\(531\) | 14.8362 | − | 3.97535i | 0.643836 | − | 0.172515i | ||||
\(532\) | 2.52194i | 0.109340i | ||||||||
\(533\) | −4.03079 | − | 6.98154i | −0.174593 | − | 0.302404i | ||||
\(534\) | −46.2750 | + | 26.7169i | −2.00252 | + | 1.15615i | ||||
\(535\) | 19.4065 | − | 13.3819i | 0.839016 | − | 0.578552i | ||||
\(536\) | −4.92324 | − | 18.3738i | −0.212652 | − | 0.793627i | ||||
\(537\) | −1.77220 | + | 3.06953i | −0.0764759 | + | 0.132460i | ||||
\(538\) | 9.47367 | + | 16.4089i | 0.408439 | + | 0.707437i | ||||
\(539\) | −7.55989 | − | 13.0941i | −0.325628 | − | 0.564004i | ||||
\(540\) | 30.2982 | + | 43.9384i | 1.30383 | + | 1.89081i | ||||
\(541\) | 4.87679 | + | 4.87679i | 0.209670 | + | 0.209670i | 0.804127 | − | 0.594457i | \(-0.202633\pi\) |
−0.594457 | + | 0.804127i | \(0.702633\pi\) | |||||||
\(542\) | 16.3932 | + | 9.46464i | 0.704150 | + | 0.406541i | ||||
\(543\) | 61.3789 | + | 16.4464i | 2.63402 | + | 0.705784i | ||||
\(544\) | − | 6.42580i | − | 0.275504i | ||||||
\(545\) | 0.483842 | + | 6.02861i | 0.0207255 | + | 0.258237i | ||||
\(546\) | −95.1860 | + | 54.9557i | −4.07359 | + | 2.35189i | ||||
\(547\) | − | 23.8350i | − | 1.01911i | −0.860438 | − | 0.509555i | \(-0.829810\pi\) | ||
0.860438 | − | 0.509555i | \(-0.170190\pi\) | |||||||
\(548\) | 6.25785 | + | 23.3546i | 0.267322 | + | 0.997660i | ||||
\(549\) | 36.7288 | + | 36.7288i | 1.56755 | + | 1.56755i | ||||
\(550\) | −43.1490 | − | 16.4104i | −1.83988 | − | 0.699744i | ||||
\(551\) | 0.389689 | − | 0.674960i | 0.0166013 | − | 0.0287543i | ||||
\(552\) | 20.3157 | + | 75.8193i | 0.864695 | + | 3.22708i | ||||
\(553\) | −38.7131 | + | 22.3510i | −1.64625 | + | 0.950463i | ||||
\(554\) | −27.2757 | −1.15883 | ||||||||
\(555\) | 5.97682 | − | 38.4634i | 0.253702 | − | 1.63268i | ||||
\(556\) | −8.23870 | −0.349399 | ||||||||
\(557\) | −22.2582 | + | 12.8508i | −0.943108 | + | 0.544504i | −0.890933 | − | 0.454134i | \(-0.849949\pi\) |
−0.0521751 | + | 0.998638i | \(0.516615\pi\) | |||||||
\(558\) | 3.29387 | + | 12.2929i | 0.139441 | + | 0.520399i | ||||
\(559\) | 19.8312 | − | 34.3486i | 0.838769 | − | 1.45279i | ||||
\(560\) | 19.2892 | + | 9.16390i | 0.815118 | + | 0.387245i | ||||
\(561\) | −28.3134 | − | 28.3134i | −1.19539 | − | 1.19539i | ||||
\(562\) | −6.58737 | − | 24.5844i | −0.277872 | − | 1.03703i | ||||
\(563\) | 41.0307i | 1.72924i | 0.502430 | + | 0.864618i | \(0.332440\pi\) | ||||
−0.502430 | + | 0.864618i | \(0.667560\pi\) | |||||||
\(564\) | −26.5466 | + | 15.3267i | −1.11781 | + | 0.645370i | ||||
\(565\) | 2.17637 | − | 2.55620i | 0.0915608 | − | 0.107540i | ||||
\(566\) | − | 40.4783i | − | 1.70143i | ||||||
\(567\) | 7.56282 | + | 2.02645i | 0.317609 | + | 0.0851030i | ||||
\(568\) | 37.2882 | + | 21.5284i | 1.56458 | + | 0.903310i | ||||
\(569\) | 32.5225 | + | 32.5225i | 1.36341 | + | 1.36341i | 0.869525 | + | 0.493889i | \(0.164425\pi\) |
0.493889 | + | 0.869525i | \(0.335575\pi\) | |||||||
\(570\) | 3.03602 | + | 0.557840i | 0.127165 | + | 0.0233653i | ||||
\(571\) | 8.42755 | + | 14.5969i | 0.352682 | + | 0.610863i | 0.986718 | − | 0.162440i | \(-0.0519365\pi\) |
−0.634037 | + | 0.773303i | \(0.718603\pi\) | |||||||
\(572\) | −35.1355 | − | 60.8564i | −1.46909 | − | 2.54453i | ||||
\(573\) | 13.8627 | − | 24.0109i | 0.579123 | − | 1.00307i | ||||
\(574\) | 3.45422 | + | 12.8913i | 0.144176 | + | 0.538073i | ||||
\(575\) | 19.8789 | + | 24.3938i | 0.829008 | + | 1.01729i | ||||
\(576\) | −45.0076 | + | 25.9851i | −1.87532 | + | 1.08271i | ||||
\(577\) | 9.14592 | + | 15.8412i | 0.380750 | + | 0.659478i | 0.991170 | − | 0.132600i | \(-0.0423327\pi\) |
−0.610420 | + | 0.792078i | \(0.708999\pi\) | |||||||
\(578\) | − | 8.82462i | − | 0.367056i | ||||||
\(579\) | 44.0876 | − | 11.8132i | 1.83222 | − | 0.490942i | ||||
\(580\) | −18.8237 | − | 27.2981i | −0.781612 | − | 1.13349i | ||||
\(581\) | −33.8616 | −1.40481 | ||||||||
\(582\) | −28.2707 | − | 28.2707i | −1.17186 | − | 1.17186i | ||||
\(583\) | −6.13278 | − | 1.64327i | −0.253994 | − | 0.0680574i | ||||
\(584\) | −37.0541 | − | 37.0541i | −1.53331 | − | 1.53331i | ||||
\(585\) | 18.7403 | + | 52.6620i | 0.774816 | + | 2.17731i | ||||
\(586\) | −44.6006 | + | 44.6006i | −1.84244 | + | 1.84244i | ||||
\(587\) | −36.5115 | − | 21.0799i | −1.50699 | − | 0.870062i | −0.999967 | − | 0.00812958i | \(-0.997412\pi\) |
−0.507024 | − | 0.861932i | \(-0.669254\pi\) | |||||||
\(588\) | 41.5482 | − | 11.1328i | 1.71342 | − | 0.459110i | ||||
\(589\) | 0.176363 | + | 0.101823i | 0.00726690 | + | 0.00419555i | ||||
\(590\) | −9.05358 | − | 13.1295i | −0.372730 | − | 0.540533i | ||||
\(591\) | 13.9496i | 0.573810i | ||||||||
\(592\) | −17.0787 | − | 4.07538i | −0.701931 | − | 0.167497i | ||||
\(593\) | −0.609236 | − | 0.609236i | −0.0250183 | − | 0.0250183i | 0.694487 | − | 0.719505i | \(-0.255631\pi\) |
−0.719505 | + | 0.694487i | \(0.755631\pi\) | |||||||
\(594\) | −14.9771 | + | 55.8955i | −0.614520 | + | 2.29342i | ||||
\(595\) | 24.4054 | + | 11.5945i | 1.00052 | + | 0.475328i | ||||
\(596\) | −13.2374 | − | 7.64261i | −0.542224 | − | 0.313053i | ||||
\(597\) | 9.06589 | − | 15.7026i | 0.371042 | − | 0.642664i | ||||
\(598\) | 73.0559i | 2.98748i | ||||||||
\(599\) | −10.2795 | − | 5.93484i | −0.420007 | − | 0.242491i | 0.275073 | − | 0.961423i | \(-0.411298\pi\) |
−0.695080 | + | 0.718932i | \(0.744631\pi\) | |||||||
\(600\) | 36.4983 | − | 50.5637i | 1.49004 | − | 2.06425i | ||||
\(601\) | 0.686710 | + | 1.18942i | 0.0280115 | + | 0.0485173i | 0.879691 | − | 0.475545i | \(-0.157749\pi\) |
−0.851680 | + | 0.524062i | \(0.824416\pi\) | |||||||
\(602\) | −46.4298 | + | 46.4298i | −1.89234 | + | 1.89234i | ||||
\(603\) | −16.0183 | + | 16.0183i | −0.652315 | + | 0.652315i | ||||
\(604\) | 20.1636 | − | 11.6414i | 0.820444 | − | 0.473683i | ||||
\(605\) | −2.75617 | − | 7.74512i | −0.112054 | − | 0.314884i | ||||
\(606\) | 66.9819 | − | 66.9819i | 2.72095 | − | 2.72095i | ||||
\(607\) | −36.3920 | + | 21.0109i | −1.47711 | + | 0.852807i | −0.999666 | − | 0.0258577i | \(-0.991768\pi\) |
−0.477439 | + | 0.878665i | \(0.658435\pi\) | |||||||
\(608\) | −0.0911453 | + | 0.340159i | −0.00369643 | + | 0.0137953i | ||||
\(609\) | −35.6135 | − | 9.54260i | −1.44313 | − | 0.386686i | ||||
\(610\) | 23.1437 | − | 48.7155i | 0.937062 | − | 1.97243i | ||||
\(611\) | −13.0852 | + | 3.50617i | −0.529371 | + | 0.141845i | ||||
\(612\) | 62.5151 | − | 36.0931i | 2.52702 | − | 1.45898i | ||||
\(613\) | −3.46563 | − | 0.928612i | −0.139975 | − | 0.0375063i | 0.188151 | − | 0.982140i | \(-0.439751\pi\) |
−0.328126 | + | 0.944634i | \(0.606417\pi\) | |||||||
\(614\) | 68.2685 | + | 18.2925i | 2.75509 | + | 0.738225i | ||||
\(615\) | 10.6763 | − | 0.856856i | 0.430511 | − | 0.0345518i | ||||
\(616\) | 14.2970 | + | 53.3571i | 0.576042 | + | 2.14982i | ||||
\(617\) | 5.40055 | − | 20.1551i | 0.217418 | − | 0.811415i | −0.767883 | − | 0.640590i | \(-0.778690\pi\) |
0.985301 | − | 0.170825i | \(-0.0546434\pi\) | |||||||
\(618\) | −48.3786 | − | 48.3786i | −1.94607 | − | 1.94607i | ||||
\(619\) | 12.4051 | 0.498602 | 0.249301 | − | 0.968426i | \(-0.419799\pi\) | ||||
0.249301 | + | 0.968426i | \(0.419799\pi\) | |||||||
\(620\) | 7.13283 | − | 4.91851i | 0.286461 | − | 0.197532i | ||||
\(621\) | 27.8920 | − | 27.8920i | 1.11927 | − | 1.11927i | ||||
\(622\) | −50.1386 | + | 13.4346i | −2.01037 | + | 0.538678i | ||||
\(623\) | 25.6324 | 1.02694 | ||||||||
\(624\) | 38.4326 | − | 10.2980i | 1.53854 | − | 0.412249i | ||||
\(625\) | 5.04646 | − | 24.4854i | 0.201858 | − | 0.979415i | ||||
\(626\) | −25.8771 | + | 44.8205i | −1.03426 | + | 1.79139i | ||||
\(627\) | 1.09720 | + | 1.90041i | 0.0438180 | + | 0.0758951i | ||||
\(628\) | −51.2587 | + | 51.2587i | −2.04545 | + | 2.04545i | ||||
\(629\) | −21.6086 | − | 5.15632i | −0.861593 | − | 0.205596i | ||||
\(630\) | −7.40312 | − | 92.2419i | −0.294947 | − | 3.67501i | ||||
\(631\) | −23.5392 | − | 6.30731i | −0.937081 | − | 0.251090i | −0.242209 | − | 0.970224i | \(-0.577872\pi\) |
−0.694871 | + | 0.719134i | \(0.744539\pi\) | |||||||
\(632\) | 56.8755 | − | 15.2397i | 2.26239 | − | 0.606204i | ||||
\(633\) | −12.4816 | − | 46.5818i | −0.496097 | − | 1.85146i | ||||
\(634\) | −10.1581 | − | 37.9106i | −0.403430 | − | 1.50562i | ||||
\(635\) | 1.65137 | + | 20.5759i | 0.0655327 | + | 0.816529i | ||||
\(636\) | 9.03122 | − | 15.6425i | 0.358111 | − | 0.620267i | ||||
\(637\) | 19.0094 | 0.753178 | ||||||||
\(638\) | 9.30502 | − | 34.7268i | 0.368389 | − | 1.37485i | ||||
\(639\) | − | 51.2764i | − | 2.02846i | ||||||
\(640\) | 35.0965 | + | 29.8815i | 1.38731 | + | 1.18117i | ||||
\(641\) | 0.484040 | + | 0.838382i | 0.0191184 | + | 0.0331141i | 0.875426 | − | 0.483352i | \(-0.160581\pi\) |
−0.856308 | + | 0.516466i | \(0.827247\pi\) | |||||||
\(642\) | −36.3554 | + | 62.9693i | −1.43483 | + | 2.48520i | ||||
\(643\) | −21.0946 | −0.831891 | −0.415946 | − | 0.909389i | \(-0.636549\pi\) | ||||
−0.415946 | + | 0.909389i | \(0.636549\pi\) | |||||||
\(644\) | 20.5242 | − | 76.5974i | 0.808768 | − | 3.01836i | ||||
\(645\) | 29.9142 | + | 43.3815i | 1.17787 | + | 1.70815i | ||||
\(646\) | 0.455969 | − | 1.70170i | 0.0179398 | − | 0.0669524i | ||||
\(647\) | 19.2847 | + | 11.1340i | 0.758160 | + | 0.437724i | 0.828635 | − | 0.559789i | \(-0.189118\pi\) |
−0.0704745 | + | 0.997514i | \(0.522451\pi\) | |||||||
\(648\) | −8.93150 | − | 5.15660i | −0.350862 | − | 0.202571i | ||||
\(649\) | 2.93437 | − | 10.9512i | 0.115184 | − | 0.429873i | ||||
\(650\) | 44.9924 | − | 36.6651i | 1.76475 | − | 1.43812i | ||||
\(651\) | 2.49342 | − | 9.30556i | 0.0977247 | − | 0.364714i | ||||
\(652\) | 15.2807 | 0.598439 | ||||||||
\(653\) | −2.07757 | + | 3.59845i | −0.0813015 | + | 0.140818i | −0.903809 | − | 0.427936i | \(-0.859241\pi\) |
0.822508 | + | 0.568754i | \(0.192574\pi\) | |||||||
\(654\) | −9.32747 | − | 16.1557i | −0.364733 | − | 0.631736i | ||||
\(655\) | −2.31159 | − | 28.8021i | −0.0903212 | − | 1.12539i | ||||
\(656\) | − | 4.83134i | − | 0.188632i | ||||||
\(657\) | −16.1519 | + | 60.2797i | −0.630145 | + | 2.35173i | ||||
\(658\) | 22.4269 | 0.874293 | ||||||||
\(659\) | −8.53924 | + | 14.7904i | −0.332642 | + | 0.576152i | −0.983029 | − | 0.183450i | \(-0.941273\pi\) |
0.650387 | + | 0.759603i | \(0.274607\pi\) | |||||||
\(660\) | 93.0629 | − | 7.46901i | 3.62247 | − | 0.290731i | ||||
\(661\) | 7.25672 | + | 27.0825i | 0.282254 | + | 1.05339i | 0.950823 | + | 0.309735i | \(0.100240\pi\) |
−0.668569 | + | 0.743650i | \(0.733093\pi\) | |||||||
\(662\) | −1.27113 | − | 4.74391i | −0.0494037 | − | 0.184377i | ||||
\(663\) | 48.6264 | − | 13.0294i | 1.88849 | − | 0.506020i | ||||
\(664\) | 43.0829 | + | 11.5440i | 1.67194 | + | 0.447995i | ||||
\(665\) | −1.12748 | − | 0.959944i | −0.0437216 | − | 0.0372250i | ||||
\(666\) | 21.7096 | + | 72.9216i | 0.841231 | + | 2.82565i | ||||
\(667\) | −17.3288 | + | 17.3288i | −0.670973 | + | 0.670973i | ||||
\(668\) | 0.184279 | + | 0.319180i | 0.00712996 | + | 0.0123494i | ||||
\(669\) | −18.0866 | + | 31.3269i | −0.699268 | + | 1.21117i | ||||
\(670\) | 21.2460 | + | 10.0935i | 0.820805 | + | 0.389947i | ||||
\(671\) | 37.0344 | − | 9.92333i | 1.42970 | − | 0.383086i | ||||
\(672\) | 16.6594 | 0.642652 | ||||||||
\(673\) | −28.4598 | + | 7.62579i | −1.09705 | + | 0.293953i | −0.761561 | − | 0.648093i | \(-0.775567\pi\) |
−0.335485 | + | 0.942046i | \(0.608900\pi\) | |||||||
\(674\) | −40.2105 | + | 40.2105i | −1.54885 | + | 1.54885i | ||||
\(675\) | −31.1760 | − | 3.17929i | −1.19996 | − | 0.122371i | ||||
\(676\) | 38.8402 | 1.49385 | ||||||||
\(677\) | 5.36110 | + | 5.36110i | 0.206044 | + | 0.206044i | 0.802584 | − | 0.596540i | \(-0.203458\pi\) |
−0.596540 | + | 0.802584i | \(0.703458\pi\) | |||||||
\(678\) | −2.68013 | + | 10.0024i | −0.102930 | + | 0.384139i | ||||
\(679\) | 4.96388 | + | 18.5255i | 0.190496 | + | 0.710942i | ||||
\(680\) | −27.0988 | − | 23.0722i | −1.03919 | − | 0.884779i | ||||
\(681\) | 12.5952 | + | 3.37487i | 0.482648 | + | 0.129325i | ||||
\(682\) | 9.07389 | + | 2.43134i | 0.347457 | + | 0.0931009i | ||||
\(683\) | −9.44611 | + | 5.45371i | −0.361445 | + | 0.208680i | −0.669715 | − | 0.742619i | \(-0.733584\pi\) |
0.308269 | + | 0.951299i | \(0.400250\pi\) | |||||||
\(684\) | −3.82128 | + | 1.02391i | −0.146110 | + | 0.0391501i | ||||
\(685\) | −12.8230 | − | 6.09195i | −0.489943 | − | 0.232762i | ||||
\(686\) | 23.5169 | + | 6.30132i | 0.897878 | + | 0.240586i | ||||
\(687\) | −7.36247 | + | 27.4771i | −0.280896 | + | 1.04832i | ||||
\(688\) | 20.5852 | − | 11.8849i | 0.784805 | − | 0.453107i | ||||
\(689\) | 5.64443 | − | 5.64443i | 0.215036 | − | 0.215036i | ||||
\(690\) | −87.6715 | − | 41.6509i | −3.33760 | − | 1.58562i | ||||
\(691\) | 7.29291 | − | 4.21057i | 0.277435 | − | 0.160177i | −0.354826 | − | 0.934932i | \(-0.615460\pi\) |
0.632262 | + | 0.774755i | \(0.282127\pi\) | |||||||
\(692\) | −64.9101 | + | 64.9101i | −2.46751 | + | 2.46751i | ||||
\(693\) | 46.5167 | − | 46.5167i | 1.76703 | − | 1.76703i | ||||
\(694\) | −16.9854 | − | 29.4195i | −0.644756 | − | 1.11675i | ||||
\(695\) | 3.13595 | − | 3.68325i | 0.118953 | − | 0.139713i | ||||
\(696\) | 42.0586 | + | 24.2825i | 1.59423 | + | 0.920427i | ||||
\(697\) | − | 6.11279i | − | 0.231538i | ||||||
\(698\) | −0.365817 | + | 0.633614i | −0.0138464 | + | 0.0239826i | ||||
\(699\) | 15.1534 | + | 8.74884i | 0.573155 | + | 0.330911i | ||||
\(700\) | −57.4742 | + | 25.8024i | −2.17232 | + | 0.975239i | ||||
\(701\) | 4.84582 | − | 18.0849i | 0.183024 | − | 0.683056i | −0.812021 | − | 0.583629i | \(-0.801632\pi\) |
0.995045 | − | 0.0994271i | \(-0.0317010\pi\) | |||||||
\(702\) | −51.4446 | − | 51.4446i | −1.94165 | − | 1.94165i | ||||
\(703\) | 1.07074 | + | 0.579459i | 0.0403839 | + | 0.0218547i | ||||
\(704\) | 38.3614i | 1.44580i | ||||||||
\(705\) | 3.25257 | − | 17.7020i | 0.122499 | − | 0.666696i | ||||
\(706\) | 21.3262 | + | 12.3127i | 0.802623 | + | 0.463394i | ||||
\(707\) | −43.8925 | + | 11.7609i | −1.65075 | + | 0.442316i | ||||
\(708\) | 27.9327 | + | 16.1269i | 1.04977 | + | 0.606087i | ||||
\(709\) | 34.2492 | − | 34.2492i | 1.28626 | − | 1.28626i | 0.349214 | − | 0.937043i | \(-0.386449\pi\) |
0.937043 | − | 0.349214i | \(-0.113551\pi\) | |||||||
\(710\) | −50.1607 | + | 17.8502i | −1.88250 | + | 0.669905i | ||||
\(711\) | −49.5841 | − | 49.5841i | −1.85955 | − | 1.85955i | ||||
\(712\) | −32.6127 | − | 8.73855i | −1.22221 | − | 0.327491i | ||||
\(713\) | −4.52790 | − | 4.52790i | −0.169571 | − | 0.169571i | ||||
\(714\) | −83.3415 | −3.11898 | ||||||||
\(715\) | 40.5807 | + | 7.45631i | 1.51763 | + | 0.278850i | ||||
\(716\) | −4.55589 | + | 1.22075i | −0.170262 | + | 0.0456215i | ||||
\(717\) | 49.9781i | 1.86647i | ||||||||
\(718\) | 27.3443 | + | 47.3617i | 1.02048 | + | 1.76752i | ||||
\(719\) | 29.9003 | − | 17.2629i | 1.11509 | − | 0.643799i | 0.174949 | − | 0.984577i | \(-0.444024\pi\) |
0.940144 | + | 0.340778i | \(0.110690\pi\) | |||||||
\(720\) | −6.05383 | + | 32.9478i | −0.225613 | + | 1.22789i | ||||
\(721\) | 8.49452 | + | 31.7020i | 0.316352 | + | 1.18064i | ||||
\(722\) | 22.8471 | − | 39.5724i | 0.850282 | − | 1.47273i | ||||
\(723\) | −25.6840 | − | 44.4860i | −0.955199 | − | 1.65445i | ||||
\(724\) | 42.2799 | + | 73.2309i | 1.57132 | + | 2.72160i | ||||
\(725\) | 19.3691 | + | 1.97524i | 0.719349 | + | 0.0733584i | ||||
\(726\) | 17.9303 | + | 17.9303i | 0.665456 | + | 0.665456i | ||||
\(727\) | −33.6217 | − | 19.4115i | −1.24696 | − | 0.719933i | −0.276459 | − | 0.961026i | \(-0.589161\pi\) |
−0.970502 | + | 0.241093i | \(0.922494\pi\) | |||||||
\(728\) | −67.0832 | − | 17.9749i | −2.48627 | − | 0.666194i | ||||
\(729\) | − | 41.5278i | − | 1.53807i | ||||||
\(730\) | 64.5909 | − | 5.18391i | 2.39061 | − | 0.191865i | ||||
\(731\) | 26.0452 | − | 15.0372i | 0.963317 | − | 0.556171i | ||||
\(732\) | 109.075i | 4.03152i | ||||||||
\(733\) | −2.73900 | − | 10.2221i | −0.101167 | − | 0.377562i | 0.896715 | − | 0.442609i | \(-0.145947\pi\) |
−0.997882 | + | 0.0650471i | \(0.979280\pi\) | |||||||
\(734\) | −36.0087 | − | 36.0087i | −1.32911 | − | 1.32911i | ||||
\(735\) | −10.8377 | + | 22.8124i | −0.399754 | + | 0.841447i | ||||
\(736\) | 5.53660 | − | 9.58967i | 0.204082 | − | 0.353480i | ||||
\(737\) | 4.32780 | + | 16.1516i | 0.159417 | + | 0.594951i | ||||
\(738\) | −18.1307 | + | 10.4678i | −0.667399 | + | 0.385323i | ||||
\(739\) | −14.0354 | −0.516299 | −0.258150 | − | 0.966105i | \(-0.583113\pi\) | ||||
−0.258150 | + | 0.966105i | \(0.583113\pi\) | |||||||
\(740\) | 41.8167 | − | 30.5688i | 1.53721 | − | 1.12373i | ||||
\(741\) | −2.75892 | −0.101351 | ||||||||
\(742\) | −11.4446 | + | 6.60752i | −0.420143 | + | 0.242570i | ||||
\(743\) | −4.62349 | − | 17.2551i | −0.169619 | − | 0.633028i | −0.997406 | − | 0.0719846i | \(-0.977067\pi\) |
0.827786 | − | 0.561043i | \(-0.189600\pi\) | |||||||
\(744\) | −6.34487 | + | 10.9896i | −0.232614 | + | 0.402899i | ||||
\(745\) | 8.45538 | − | 3.00893i | 0.309781 | − | 0.110239i | ||||
\(746\) | −57.5770 | − | 57.5770i | −2.10804 | − | 2.10804i | ||||
\(747\) | −13.7478 | − | 51.3075i | −0.503005 | − | 1.87724i | ||||
\(748\) | − | 53.2837i | − | 1.94825i | ||||||
\(749\) | 30.2067 | − | 17.4398i | 1.10373 | − | 0.637238i | ||||
\(750\) | 18.3491 | + | 74.8972i | 0.670013 | + | 2.73486i | ||||
\(751\) | − | 32.4158i | − | 1.18287i | −0.806353 | − | 0.591434i | \(-0.798562\pi\) | ||
0.806353 | − | 0.591434i | \(-0.201438\pi\) | |||||||
\(752\) | −7.84201 | − | 2.10126i | −0.285969 | − | 0.0766251i | ||||
\(753\) | −14.6233 | − | 8.44278i | −0.532904 | − | 0.307672i | ||||
\(754\) | 31.9616 | + | 31.9616i | 1.16397 | + | 1.16397i | ||||
\(755\) | −2.47050 | + | 13.4456i | −0.0899107 | + | 0.489336i | ||||
\(756\) | 39.4857 | + | 68.3912i | 1.43608 | + | 2.48737i | ||||
\(757\) | 17.7382 | + | 30.7235i | 0.644707 | + | 1.11666i | 0.984369 | + | 0.176117i | \(0.0563538\pi\) |
−0.339663 | + | 0.940547i | \(0.610313\pi\) | |||||||
\(758\) | −27.1069 | + | 46.9506i | −0.984568 | + | 1.70532i | ||||
\(759\) | −17.8586 | − | 66.6493i | −0.648227 | − | 2.41922i | ||||
\(760\) | 1.10725 | + | 1.60574i | 0.0401642 | + | 0.0582461i | ||||
\(761\) | 12.1318 | − | 7.00429i | 0.439777 | − | 0.253905i | −0.263726 | − | 0.964598i | \(-0.584952\pi\) |
0.703503 | + | 0.710692i | \(0.251618\pi\) | |||||||
\(762\) | −31.8351 | − | 55.1399i | −1.15326 | − | 1.99751i | ||||
\(763\) | 8.94886i | 0.323971i | ||||||||
\(764\) | 35.6377 | − | 9.54910i | 1.28933 | − | 0.345474i | ||||
\(765\) | −7.65954 | + | 41.6868i | −0.276931 | + | 1.50719i | ||||
\(766\) | 73.3551 | 2.65043 | ||||||||
\(767\) | 10.0792 | + | 10.0792i | 0.363938 | + | 0.363938i | ||||
\(768\) | −81.9716 | − | 21.9642i | −2.95790 | − | 0.792566i | ||||
\(769\) | 17.8230 | + | 17.8230i | 0.642714 | + | 0.642714i | 0.951222 | − | 0.308508i | \(-0.0998296\pi\) |
−0.308508 | + | 0.951222i | \(0.599830\pi\) | |||||||
\(770\) | −61.6979 | − | 29.3114i | −2.22344 | − | 1.05631i | ||||
\(771\) | −13.2432 | + | 13.2432i | −0.476944 | + | 0.476944i | ||||
\(772\) | 52.6007 | + | 30.3690i | 1.89314 | + | 1.09301i | ||||
\(773\) | 38.9538 | − | 10.4376i | 1.40107 | − | 0.375415i | 0.522341 | − | 0.852737i | \(-0.325059\pi\) |
0.878729 | + | 0.477322i | \(0.158392\pi\) | |||||||
\(774\) | −89.2014 | − | 51.5005i | −3.20628 | − | 1.85115i | ||||
\(775\) | −0.516116 | + | 5.06101i | −0.0185394 | + | 0.181797i | ||||
\(776\) | − | 25.2626i | − | 0.906876i | ||||||
\(777\) | 13.3682 | − | 56.0222i | 0.479581 | − | 2.00979i | ||||
\(778\) | −31.4721 | − | 31.4721i | −1.12833 | − | 1.12833i | ||||
\(779\) | −0.0867053 | + | 0.323589i | −0.00310654 | + | 0.0115938i | ||||
\(780\) | −50.3693 | + | 106.023i | −1.80351 | + | 3.79624i | ||||
\(781\) | −32.7784 | − | 18.9246i | −1.17290 | − | 0.677176i | ||||
\(782\) | −27.6977 | + | 47.9739i | −0.990468 | + | 1.71554i | ||||
\(783\) | − | 24.4052i | − | 0.872171i | ||||||
\(784\) | 9.86608 | + | 5.69619i | 0.352360 | + | 0.203435i | ||||
\(785\) | −3.40509 | − | 42.4270i | −0.121533 | − | 1.51428i | ||||
\(786\) | 44.5627 | + | 77.1848i | 1.58950 | + | 2.75309i | ||||
\(787\) | −3.42391 | + | 3.42391i | −0.122049 | + | 0.122049i | −0.765493 | − | 0.643444i | \(-0.777505\pi\) |
0.643444 | + | 0.765493i | \(0.277505\pi\) | |||||||
\(788\) | −13.1261 | + | 13.1261i | −0.467597 | + | 0.467597i | ||||
\(789\) | −38.6629 | + | 22.3220i | −1.37644 | + | 0.794686i | ||||
\(790\) | −31.2442 | + | 65.7663i | −1.11162 | + | 2.33986i | ||||
\(791\) | 3.51252 | − | 3.51252i | 0.124891 | − | 0.124891i | ||||
\(792\) | −75.0427 | + | 43.3259i | −2.66653 | + | 1.53952i | ||||
\(793\) | −12.4761 | + | 46.5615i | −0.443040 | + | 1.65345i | ||||
\(794\) | 13.3811 | + | 3.58544i | 0.474876 | + | 0.127243i | ||||
\(795\) | 3.55563 | + | 9.99168i | 0.126105 | + | 0.354368i | ||||
\(796\) | 23.3063 | − | 6.24489i | 0.826068 | − | 0.221344i | ||||
\(797\) | 34.3533 | − | 19.8339i | 1.21686 | − | 0.702553i | 0.252613 | − | 0.967567i | \(-0.418710\pi\) |
0.964244 | + | 0.265014i | \(0.0853767\pi\) | |||||||
\(798\) | 4.41180 | + | 1.18214i | 0.156176 | + | 0.0418472i | ||||
\(799\) | −9.92200 | − | 2.65859i | −0.351015 | − | 0.0940543i | ||||
\(800\) | −8.68462 | + | 1.40305i | −0.307048 | + | 0.0496053i | ||||
\(801\) | 10.4068 | + | 38.8386i | 0.367705 | + | 1.37229i | ||||
\(802\) | 17.2926 | − | 64.5369i | 0.610623 | − | 2.27888i | ||||
\(803\) | 32.5726 | + | 32.5726i | 1.14946 | + | 1.14946i | ||||
\(804\) | −47.5701 | −1.67767 | ||||||||
\(805\) | 26.4319 | + | 38.3315i | 0.931600 | + | 1.35101i | ||||
\(806\) | −8.35135 | + | 8.35135i | −0.294164 | + | 0.294164i | ||||
\(807\) | 21.7325 | − | 5.82322i | 0.765022 | − | 0.204987i | ||||
\(808\) | 59.8549 | 2.10569 | ||||||||
\(809\) | 5.04756 | − | 1.35249i | 0.177463 | − | 0.0475510i | −0.168993 | − | 0.985617i | \(-0.554052\pi\) |
0.346456 | + | 0.938066i | \(0.387385\pi\) | |||||||
\(810\) | 12.0148 | − | 4.27558i | 0.422157 | − | 0.150228i | ||||
\(811\) | 8.49712 | − | 14.7174i | 0.298374 | − | 0.516799i | −0.677390 | − | 0.735624i | \(-0.736889\pi\) |
0.975764 | + | 0.218825i | \(0.0702224\pi\) | |||||||
\(812\) | −24.5317 | − | 42.4902i | −0.860895 | − | 1.49111i | ||||
\(813\) | 15.8942 | − | 15.8942i | 0.557433 | − | 0.557433i | ||||
\(814\) | 54.6275 | + | 13.0354i | 1.91469 | + | 0.456890i | ||||
\(815\) | −5.81640 | + | 6.83149i | −0.203740 | + | 0.239297i | ||||
\(816\) | 29.1420 | + | 7.80856i | 1.02017 | + | 0.273354i | ||||
\(817\) | −1.59203 | + | 0.426583i | −0.0556981 | + | 0.0149243i | ||||
\(818\) | −1.74946 | − | 6.52909i | −0.0611686 | − | 0.228284i | ||||
\(819\) | 21.4063 | + | 79.8895i | 0.747998 | + | 2.79157i | ||||
\(820\) | 10.8523 | + | 9.23976i | 0.378979 | + | 0.322666i | ||||
\(821\) | −0.839449 | + | 1.45397i | −0.0292970 | + | 0.0507438i | −0.880302 | − | 0.474413i | \(-0.842660\pi\) |
0.851005 | + | 0.525157i | \(0.175994\pi\) | |||||||
\(822\) | 43.7891 | 1.52732 | ||||||||
\(823\) | 1.89454 | − | 7.07053i | 0.0660397 | − | 0.246463i | −0.925013 | − | 0.379936i | \(-0.875946\pi\) |
0.991053 | + | 0.133472i | \(0.0426128\pi\) | |||||||
\(824\) | − | 43.2311i | − | 1.50603i | ||||||
\(825\) | −32.0840 | + | 44.4483i | −1.11702 | + | 1.54749i | ||||
\(826\) | −11.7990 | − | 20.4364i | −0.410538 | − | 0.711073i | ||||
\(827\) | 20.2362 | − | 35.0501i | 0.703682 | − | 1.21881i | −0.263483 | − | 0.964664i | \(-0.584871\pi\) |
0.967165 | − | 0.254149i | \(-0.0817954\pi\) | |||||||
\(828\) | 124.394 | 4.32300 | ||||||||
\(829\) | −9.73938 | + | 36.3479i | −0.338263 | + | 1.26241i | 0.562026 | + | 0.827120i | \(0.310022\pi\) |
−0.900288 | + | 0.435294i | \(0.856644\pi\) | |||||||
\(830\) | −45.4053 | + | 31.3097i | −1.57604 | + | 1.08677i | ||||
\(831\) | −8.38284 | + | 31.2852i | −0.290798 | + | 1.08527i | ||||
\(832\) | −41.7683 | − | 24.1150i | −1.44806 | − | 0.836036i | ||||
\(833\) | 12.4829 | + | 7.20703i | 0.432508 | + | 0.249709i | ||||
\(834\) | −3.86182 | + | 14.4125i | −0.133724 | + | 0.499064i | ||||
\(835\) | −0.212838 | − | 0.0391069i | −0.00736556 | − | 0.00135335i | ||||
\(836\) | −0.755790 | + | 2.82065i | −0.0261395 | + | 0.0975541i | ||||
\(837\) | 6.37692 | 0.220419 | ||||||||
\(838\) | 20.3869 | − | 35.3111i | 0.704253 | − | 1.21980i | ||||
\(839\) | 1.40226 | + | 2.42878i | 0.0484114 | + | 0.0838509i | 0.889216 | − | 0.457488i | \(-0.151251\pi\) |
−0.840804 | + | 0.541339i | \(0.817917\pi\) | |||||||
\(840\) | 59.8167 | − | 70.2560i | 2.06387 | − | 2.42406i | ||||
\(841\) | − | 13.8375i | − | 0.477155i | ||||||
\(842\) | 16.5990 | − | 61.9483i | 0.572039 | − | 2.13488i | ||||
\(843\) | −30.2228 | −1.04093 | ||||||||
\(844\) | 32.0871 | − | 55.5765i | 1.10448 | − | 1.91302i | ||||
\(845\) | −14.7840 | + | 17.3642i | −0.508586 | + | 0.597345i | ||||
\(846\) | 9.10534 | + | 33.9816i | 0.313048 | + | 1.16831i | ||||
\(847\) | −3.14828 | − | 11.7495i | −0.108176 | − | 0.403718i | ||||
\(848\) | 4.62089 | − | 1.23816i | 0.158682 | − | 0.0425187i | ||||
\(849\) | −46.4285 | − | 12.4405i | −1.59342 | − | 0.426956i | ||||
\(850\) | 43.4462 | − | 7.01898i | 1.49019 | − | 0.240749i | ||||
\(851\) | −27.8053 | − | 26.3136i | −0.953153 | − | 0.902017i | ||||
\(852\) | 76.1387 | − | 76.1387i | 2.60847 | − | 2.60847i | ||||
\(853\) | −19.0438 | − | 32.9848i | −0.652048 | − | 1.12938i | −0.982625 | − | 0.185601i | \(-0.940577\pi\) |
0.330578 | − | 0.943779i | \(-0.392756\pi\) | |||||||
\(854\) | 39.9012 | − | 69.1109i | 1.36539 | − | 2.36493i | ||||
\(855\) | 0.996764 | − | 2.09810i | 0.0340886 | − | 0.0717536i | ||||
\(856\) | −44.3782 | + | 11.8911i | −1.51682 | + | 0.406430i | ||||
\(857\) | 41.3110 | 1.41116 | 0.705578 | − | 0.708632i | \(-0.250688\pi\) | ||||
0.705578 | + | 0.708632i | \(0.250688\pi\) | |||||||
\(858\) | −122.929 | + | 32.9388i | −4.19674 | + | 1.12451i | ||||
\(859\) | −18.4127 | + | 18.4127i | −0.628234 | + | 0.628234i | −0.947624 | − | 0.319389i | \(-0.896522\pi\) |
0.319389 | + | 0.947624i | \(0.396522\pi\) | |||||||
\(860\) | −12.6723 | + | 68.9686i | −0.432122 | + | 2.35181i | ||||
\(861\) | 15.8479 | 0.540096 | ||||||||
\(862\) | 42.2765 | + | 42.2765i | 1.43994 | + | 1.43994i | ||||
\(863\) | 8.74861 | − | 32.6503i | 0.297806 | − | 1.11143i | −0.641157 | − | 0.767410i | \(-0.721545\pi\) |
0.938963 | − | 0.344018i | \(-0.111788\pi\) | |||||||
\(864\) | 2.85410 | + | 10.6516i | 0.0970983 | + | 0.362376i | ||||
\(865\) | −4.31194 | − | 53.7263i | −0.146610 | − | 1.82675i | ||||
\(866\) | 75.8609 | + | 20.3269i | 2.57786 | + | 0.690735i | ||||
\(867\) | −10.1218 | − | 2.71213i | −0.343755 | − | 0.0921088i | ||||
\(868\) | 11.1024 | − | 6.40998i | 0.376841 | − | 0.217569i | ||||
\(869\) | −49.9967 | + | 13.3966i | −1.69602 | + | 0.454448i | ||||
\(870\) | −56.5778 | + | 20.1338i | −1.91817 | + | 0.682599i | ||||
\(871\) | −20.3066 | − | 5.44113i | −0.688062 | − | 0.184366i | ||||
\(872\) | 3.05083 | − | 11.3858i | 0.103314 | − | 0.385573i | ||||
\(873\) | −26.0547 | + | 15.0427i | −0.881817 | + | 0.509117i | ||||
\(874\) | 2.14669 | − | 2.14669i | 0.0726129 | − | 0.0726129i | ||||
\(875\) | 10.3414 | − | 35.5161i | 0.349603 | − | 1.20066i | ||||
\(876\) | −113.491 | + | 65.5240i | −3.83450 | + | 2.21385i | ||||
\(877\) | −33.2698 | + | 33.2698i | −1.12344 | + | 1.12344i | −0.132222 | + | 0.991220i | \(0.542211\pi\) |
−0.991220 | + | 0.132222i | \(0.957789\pi\) | |||||||
\(878\) | 64.1702 | − | 64.1702i | 2.16564 | − | 2.16564i | ||||
\(879\) | 37.4494 | + | 64.8642i | 1.26314 | + | 2.18782i | ||||
\(880\) | 18.8276 | + | 16.0300i | 0.634677 | + | 0.540371i | ||||
\(881\) | −34.9804 | − | 20.1959i | −1.17852 | − | 0.680418i | −0.222847 | − | 0.974853i | \(-0.571535\pi\) |
−0.955671 | + | 0.294436i | \(0.904868\pi\) | |||||||
\(882\) | − | 49.3663i | − | 1.66225i | ||||||
\(883\) | 6.33132 | − | 10.9662i | 0.213066 | − | 0.369041i | −0.739607 | − | 0.673039i | \(-0.764988\pi\) |
0.952673 | + | 0.303999i | \(0.0983218\pi\) | |||||||
\(884\) | 58.0159 | + | 33.4955i | 1.95128 | + | 1.12657i | ||||
\(885\) | −17.8420 | + | 6.34925i | −0.599752 | + | 0.213428i | ||||
\(886\) | −1.63067 | + | 6.08576i | −0.0547836 | + | 0.204455i | ||||
\(887\) | −25.2622 | − | 25.2622i | −0.848221 | − | 0.848221i | 0.141690 | − | 0.989911i | \(-0.454746\pi\) |
−0.989911 | + | 0.141690i | \(0.954746\pi\) | |||||||
\(888\) | −36.1076 | + | 66.7209i | −1.21169 | + | 2.23901i | ||||
\(889\) | 30.5428i | 1.02437i | ||||||||
\(890\) | 34.3708 | − | 23.7007i | 1.15211 | − | 0.794449i | ||||
\(891\) | 7.85128 | + | 4.53294i | 0.263028 | + | 0.151859i | ||||
\(892\) | −46.4963 | + | 12.4586i | −1.55681 | + | 0.417146i | ||||
\(893\) | 0.487525 | + | 0.281473i | 0.0163144 | + | 0.00941912i | ||||
\(894\) | −19.5746 | + | 19.5746i | −0.654673 | + | 0.654673i | ||||
\(895\) | 1.18839 | − | 2.50145i | 0.0397233 | − | 0.0836142i | ||||
\(896\) | 48.2267 | + | 48.2267i | 1.61114 | + | 1.61114i | ||||
\(897\) | 83.7949 | + | 22.4528i | 2.79783 | + | 0.749676i | ||||
\(898\) | −43.4606 | − | 43.4606i | −1.45030 | − | 1.45030i | ||||
\(899\) | −3.96186 | −0.132135 | ||||||||
\(900\) | −62.4306 | − | 76.6098i | −2.08102 | − | 2.55366i | ||||
\(901\) | 5.84652 | − | 1.56657i | 0.194776 | − | 0.0521900i | ||||
\(902\) | 15.4534i | 0.514541i | ||||||||
\(903\) | 38.9852 | + | 67.5244i | 1.29735 | + | 2.24707i | ||||
\(904\) | −5.66654 | + | 3.27158i | −0.188466 | + | 0.108811i | ||||
\(905\) | −48.8323 | − | 8.97246i | −1.62324 | − | 0.298255i | ||||
\(906\) | −10.9136 | − | 40.7302i | −0.362581 | − | 1.35317i | ||||
\(907\) | 12.6855 | − | 21.9719i | 0.421214 | − | 0.729565i | −0.574844 | − | 0.818263i | \(-0.694937\pi\) |
0.996059 | + | 0.0886981i | \(0.0282706\pi\) | |||||||
\(908\) | 8.67598 | + | 15.0272i | 0.287922 | + | 0.498696i | ||||
\(909\) | −35.6407 | − | 61.7314i | −1.18213 | − | 2.04750i | ||||
\(910\) | 70.6994 | − | 48.7515i | 2.34366 | − | 1.61610i | ||||
\(911\) | 5.63432 | + | 5.63432i | 0.186673 | + | 0.186673i | 0.794256 | − | 0.607583i | \(-0.207861\pi\) |
−0.607583 | + | 0.794256i | \(0.707861\pi\) | |||||||
\(912\) | −1.43191 | − | 0.826714i | −0.0474153 | − | 0.0273752i | ||||
\(913\) | −37.8722 | − | 10.1478i | −1.25339 | − | 0.335844i | ||||
\(914\) | 35.9213i | 1.18817i | ||||||||
\(915\) | −48.7637 | − | 41.5179i | −1.61208 | − | 1.37254i | ||||
\(916\) | −32.7828 | + | 18.9272i | −1.08317 | + | 0.625371i | ||||
\(917\) | − | 42.7538i | − | 1.41186i | ||||||
\(918\) | −14.2781 | − | 53.2865i | −0.471247 | − | 1.75872i | ||||
\(919\) | −22.6926 | − | 22.6926i | −0.748559 | − | 0.748559i | 0.225650 | − | 0.974208i | \(-0.427550\pi\) |
−0.974208 | + | 0.225650i | \(0.927550\pi\) | |||||||
\(920\) | −20.5620 | − | 57.7811i | −0.677908 | − | 1.90499i | ||||
\(921\) | 41.9629 | − | 72.6819i | 1.38272 | − | 2.39495i | ||||
\(922\) | 11.3601 | + | 42.3966i | 0.374126 | + | 1.39626i | ||||
\(923\) | 41.2106 | − | 23.7930i | 1.35647 | − | 0.783155i | ||||
\(924\) | 138.143 | 4.54456 | ||||||||
\(925\) | −2.25071 | + | 30.3304i | −0.0740030 | + | 0.997258i | ||||
\(926\) | 7.06325 | 0.232113 | ||||||||
\(927\) | −44.5864 | + | 25.7420i | −1.46441 | + | 0.845478i | ||||
\(928\) | −1.77320 | − | 6.61767i | −0.0582081 | − | 0.217236i | ||||
\(929\) | −20.8434 | + | 36.1018i | −0.683849 | + | 1.18446i | 0.289948 | + | 0.957042i | \(0.406362\pi\) |
−0.973797 | + | 0.227419i | \(0.926971\pi\) | |||||||
\(930\) | −5.26082 | − | 14.7834i | −0.172509 | − | 0.484767i | ||||
\(931\) | −0.558575 | − | 0.558575i | −0.0183066 | − | 0.0183066i | ||||
\(932\) | 6.02649 | + | 22.4912i | 0.197404 | + | 0.736723i | ||||
\(933\) | 61.6378i | 2.01793i | ||||||||
\(934\) | 58.6979 | − | 33.8892i | 1.92065 | − | 1.10889i | ||||
\(935\) | 23.8213 | + | 20.2817i | 0.779041 | + | 0.663284i | ||||
\(936\) | − | 108.943i | − | 3.56092i | ||||||
\(937\) | 51.2026 | + | 13.7197i | 1.67272 | + | 0.448203i | 0.965841 | − | 0.259136i | \(-0.0834379\pi\) |
0.706874 | + | 0.707339i | \(0.250105\pi\) | |||||||
\(938\) | 30.1409 | + | 17.4019i | 0.984136 | + | 0.568191i | ||||
\(939\) | 43.4560 | + | 43.4560i | 1.41813 | + | 1.41813i | ||||
\(940\) | 19.7175 | − | 13.5964i | 0.643114 | − | 0.443465i | ||||
\(941\) | −25.1016 | − | 43.4773i | −0.818290 | − | 1.41732i | −0.906941 | − | 0.421257i | \(-0.861589\pi\) |
0.0886510 | − | 0.996063i | \(-0.471744\pi\) | |||||||
\(942\) | 65.6432 | + | 113.697i | 2.13877 | + | 3.70446i | ||||
\(943\) | 5.26690 | − | 9.12254i | 0.171514 | − | 0.297071i | ||||
\(944\) | 2.21097 | + | 8.25146i | 0.0719610 | + | 0.268562i | ||||
\(945\) | −45.6051 | − | 8.37950i | −1.48353 | − | 0.272585i | ||||
\(946\) | −65.8433 | + | 38.0147i | −2.14075 | + | 1.23596i | ||||
\(947\) | 25.8315 | + | 44.7415i | 0.839411 | + | 1.45390i | 0.890388 | + | 0.455202i | \(0.150433\pi\) |
−0.0509773 | + | 0.998700i | \(0.516234\pi\) | |||||||
\(948\) | − | 147.252i | − | 4.78252i | ||||||
\(949\) | −55.9413 | + | 14.9894i | −1.81593 | + | 0.486577i | ||||
\(950\) | −2.39944 | − | 0.244692i | −0.0778482 | − | 0.00793886i | ||||
\(951\) | −46.6053 | −1.51128 | ||||||||
\(952\) | −37.2369 | − | 37.2369i | −1.20686 | − | 1.20686i | ||||
\(953\) | −29.1325 | − | 7.80602i | −0.943693 | − | 0.252862i | −0.246009 | − | 0.969268i | \(-0.579119\pi\) |
−0.697684 | + | 0.716406i | \(0.745786\pi\) | |||||||
\(954\) | −14.6583 | − | 14.6583i | −0.474579 | − | 0.474579i | ||||
\(955\) | −9.29595 | + | 19.5672i | −0.300810 | + | 0.633178i | ||||
\(956\) | −47.0276 | + | 47.0276i | −1.52098 | + | 1.52098i | ||||
\(957\) | −36.9718 | − | 21.3457i | −1.19513 | − | 0.690008i | ||||
\(958\) | −22.3877 | + | 5.99878i | −0.723315 | + | 0.193812i | ||||
\(959\) | −18.1916 | − | 10.5029i | −0.587436 | − | 0.339157i | ||||
\(960\) | 52.7525 | − | 36.3760i | 1.70258 | − | 1.17403i | ||||
\(961\) | 29.9648i | 0.966606i | ||||||||
\(962\) | −48.5333 | + | 51.2846i | −1.56478 | + | 1.65348i | ||||
\(963\) | 38.6890 | + | 38.6890i | 1.24673 | + | 1.24673i | ||||
\(964\) | 17.6920 | − | 66.0275i | 0.569821 | − | 2.12660i | ||||
\(965\) | −33.5987 | + | 11.9564i | −1.08158 | + | 0.384891i | ||||
\(966\) | −124.376 | − | 71.8087i | −4.00174 | − | 2.31041i | ||||
\(967\) | −9.53091 | + | 16.5080i | −0.306493 | + | 0.530862i | −0.977593 | − | 0.210505i | \(-0.932489\pi\) |
0.671099 | + | 0.741367i | \(0.265822\pi\) | |||||||
\(968\) | 16.0225i | 0.514982i | ||||||||
\(969\) | −1.81171 | − | 1.04599i | −0.0582004 | − | 0.0336020i | ||||
\(970\) | 23.7854 | + | 20.2512i | 0.763705 | + | 0.650226i | ||||
\(971\) | −2.01245 | − | 3.48566i | −0.0645824 | − | 0.111860i | 0.831926 | − | 0.554886i | \(-0.187238\pi\) |
−0.896509 | + | 0.443026i | \(0.853905\pi\) | |||||||
\(972\) | 32.3959 | − | 32.3959i | 1.03910 | − | 1.03910i | ||||
\(973\) | 5.06121 | − | 5.06121i | 0.162255 | − | 0.162255i | ||||
\(974\) | −84.9613 | + | 49.0524i | −2.72234 | + | 1.57174i | ||||
\(975\) | −28.2269 | − | 62.8747i | −0.903985 | − | 2.01360i | ||||
\(976\) | −20.4275 | + | 20.4275i | −0.653868 | + | 0.653868i | ||||
\(977\) | 38.4318 | − | 22.1886i | 1.22954 | − | 0.709876i | 0.262607 | − | 0.964903i | \(-0.415418\pi\) |
0.966934 | + | 0.255027i | \(0.0820844\pi\) | |||||||
\(978\) | 7.16270 | − | 26.7315i | 0.229038 | − | 0.854781i | ||||
\(979\) | 28.6684 | + | 7.68167i | 0.916245 | + | 0.245507i | ||||
\(980\) | −31.6635 | + | 11.2678i | −1.01145 | + | 0.359935i | ||||
\(981\) | −13.5594 | + | 3.63324i | −0.432919 | + | 0.116000i | ||||
\(982\) | −51.5069 | + | 29.7375i | −1.64365 | + | 0.948963i | ||||
\(983\) | −45.7889 | − | 12.2691i | −1.46044 | − | 0.391324i | −0.560798 | − | 0.827952i | \(-0.689506\pi\) |
−0.899642 | + | 0.436629i | \(0.856172\pi\) | |||||||
\(984\) | −20.1637 | − | 5.40284i | −0.642795 | − | 0.172236i | ||||
\(985\) | −0.871958 | − | 10.8645i | −0.0277829 | − | 0.346172i | ||||
\(986\) | 8.87070 | + | 33.1059i | 0.282501 | + | 1.05431i | ||||
\(987\) | 6.89263 | − | 25.7236i | 0.219395 | − | 0.818793i | ||||
\(988\) | −2.59604 | − | 2.59604i | −0.0825911 | − | 0.0825911i | ||||
\(989\) | 51.8254 | 1.64795 | ||||||||
\(990\) | 19.3636 | − | 105.386i | 0.615416 | − | 3.34938i | ||||
\(991\) | 23.2333 | − | 23.2333i | 0.738030 | − | 0.738030i | −0.234166 | − | 0.972197i | \(-0.575236\pi\) |
0.972197 | + | 0.234166i | \(0.0752360\pi\) | |||||||
\(992\) | 1.72915 | − | 0.463325i | 0.0549006 | − | 0.0147106i | ||||
\(993\) | −5.83191 | −0.185070 | ||||||||
\(994\) | −76.0949 | + | 20.3896i | −2.41358 | + | 0.646718i | ||||
\(995\) | −6.07934 | + | 12.7965i | −0.192728 | + | 0.405675i | ||||
\(996\) | 55.7712 | − | 96.5985i | 1.76718 | − | 3.06084i | ||||
\(997\) | 2.04168 | + | 3.53629i | 0.0646606 | + | 0.111995i | 0.896543 | − | 0.442956i | \(-0.146070\pi\) |
−0.831883 | + | 0.554951i | \(0.812737\pi\) | |||||||
\(998\) | 31.7332 | − | 31.7332i | 1.00450 | − | 1.00450i | ||||
\(999\) | 38.1095 | − | 1.05044i | 1.20573 | − | 0.0332345i |
(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 | 185.2.u.a.8.16 | yes | 68 | |
5.2 | odd | 4 | 185.2.p.a.82.16 | ✓ | 68 | ||
5.3 | odd | 4 | 925.2.t.b.82.2 | 68 | |||
5.4 | even | 2 | 925.2.y.b.193.2 | 68 | |||
37.14 | odd | 12 | 185.2.p.a.88.16 | yes | 68 | ||
185.14 | odd | 12 | 925.2.t.b.643.2 | 68 | |||
185.88 | even | 12 | 925.2.y.b.532.2 | 68 | |||
185.162 | even | 12 | inner | 185.2.u.a.162.16 | yes | 68 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
185.2.p.a.82.16 | ✓ | 68 | 5.2 | odd | 4 | ||
185.2.p.a.88.16 | yes | 68 | 37.14 | odd | 12 | ||
185.2.u.a.8.16 | yes | 68 | 1.1 | even | 1 | trivial | |
185.2.u.a.162.16 | yes | 68 | 185.162 | even | 12 | inner | |
925.2.t.b.82.2 | 68 | 5.3 | odd | 4 | |||
925.2.t.b.643.2 | 68 | 185.14 | odd | 12 | |||
925.2.y.b.193.2 | 68 | 5.4 | even | 2 | |||
925.2.y.b.532.2 | 68 | 185.88 | even | 12 |