Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [315,2,Mod(104,315)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(315, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([5, 3, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("315.104");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 315 = 3^{2} \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 315.z (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: | \(2.51528766367\) |
Analytic rank: | \(0\) |
Dimension: | \(80\) |
Relative dimension: | \(40\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 104.5 | ||
Character | \(\chi\) | \(=\) | 315.104 |
Dual form | 315.2.z.b.209.5 |
$q$-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 \(\left(\mathbb{Z}/315\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(136\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.18498 | − | 2.05244i | −0.837904 | − | 1.45129i | −0.891644 | − | 0.452738i | \(-0.850447\pi\) |
0.0537395 | − | 0.998555i | \(-0.482886\pi\) | |||||||
\(3\) | −0.887757 | − | 1.48724i | −0.512547 | − | 0.858659i | ||||
\(4\) | −1.80833 | + | 3.13213i | −0.904167 | + | 1.56606i | ||||
\(5\) | −0.317361 | − | 2.21343i | −0.141928 | − | 0.989877i | ||||
\(6\) | −2.00050 | + | 3.58441i | −0.816701 | + | 1.46333i | ||||
\(7\) | 0.783979 | + | 2.52693i | 0.296316 | + | 0.955090i | ||||
\(8\) | 3.83142 | 1.35461 | ||||||||
\(9\) | −1.42378 | + | 2.64062i | −0.474592 | + | 0.880206i | ||||
\(10\) | −4.16687 | + | 3.27423i | −1.31768 | + | 1.03540i | ||||
\(11\) | −3.94144 | + | 2.27559i | −1.18839 | + | 0.686116i | −0.957940 | − | 0.286969i | \(-0.907352\pi\) |
−0.230448 | + | 0.973085i | \(0.574019\pi\) | |||||||
\(12\) | 6.26359 | − | 0.0911359i | 1.80814 | − | 0.0263087i | ||||
\(13\) | −1.57135 | + | 2.72166i | −0.435815 | + | 0.754854i | −0.997362 | − | 0.0725912i | \(-0.976873\pi\) |
0.561547 | + | 0.827445i | \(0.310207\pi\) | |||||||
\(14\) | 4.25737 | − | 4.60342i | 1.13783 | − | 1.23032i | ||||
\(15\) | −3.01017 | + | 2.43698i | −0.777223 | + | 0.629226i | ||||
\(16\) | −0.923476 | − | 1.59951i | −0.230869 | − | 0.399877i | ||||
\(17\) | − | 3.56687i | − | 0.865092i | −0.901612 | − | 0.432546i | \(-0.857615\pi\) | ||
0.901612 | − | 0.432546i | \(-0.142385\pi\) | |||||||
\(18\) | 7.10684 | − | 0.206854i | 1.67510 | − | 0.0487560i | ||||
\(19\) | − | 4.51836i | − | 1.03658i | −0.855204 | − | 0.518291i | \(-0.826568\pi\) | ||
0.855204 | − | 0.518291i | \(-0.173432\pi\) | |||||||
\(20\) | 7.50664 | + | 3.00861i | 1.67854 | + | 0.672746i | ||||
\(21\) | 3.06217 | − | 3.40927i | 0.668221 | − | 0.743963i | ||||
\(22\) | 9.34101 | + | 5.39304i | 1.99151 | + | 1.14980i | ||||
\(23\) | −4.14464 | + | 7.17872i | −0.864217 | + | 1.49687i | 0.00360569 | + | 0.999993i | \(0.498852\pi\) |
−0.867823 | + | 0.496874i | \(0.834481\pi\) | |||||||
\(24\) | −3.40137 | − | 5.69825i | −0.694302 | − | 1.16315i | ||||
\(25\) | −4.79856 | + | 1.40491i | −0.959713 | + | 0.280982i | ||||
\(26\) | 7.44806 | 1.46069 | ||||||||
\(27\) | 5.19120 | − | 0.226726i | 0.999048 | − | 0.0436334i | ||||
\(28\) | −9.33236 | − | 2.11401i | −1.76365 | − | 0.399511i | ||||
\(29\) | 2.52016 | − | 1.45501i | 0.467982 | − | 0.270189i | −0.247413 | − | 0.968910i | \(-0.579580\pi\) |
0.715394 | + | 0.698721i | \(0.246247\pi\) | |||||||
\(30\) | 8.56873 | + | 3.29042i | 1.56443 | + | 0.600747i | ||||
\(31\) | −3.60524 | − | 2.08149i | −0.647520 | − | 0.373846i | 0.139985 | − | 0.990154i | \(-0.455295\pi\) |
−0.787506 | + | 0.616308i | \(0.788628\pi\) | |||||||
\(32\) | 1.64283 | − | 2.84547i | 0.290414 | − | 0.503012i | ||||
\(33\) | 6.88339 | + | 3.84170i | 1.19824 | + | 0.668754i | ||||
\(34\) | −7.32077 | + | 4.22665i | −1.25550 | + | 0.724864i | ||||
\(35\) | 5.34439 | − | 2.53723i | 0.903366 | − | 0.428871i | ||||
\(36\) | −5.69608 | − | 9.23457i | −0.949347 | − | 1.53909i | ||||
\(37\) | − | 6.75923i | − | 1.11121i | −0.831446 | − | 0.555606i | \(-0.812486\pi\) | ||
0.831446 | − | 0.555606i | \(-0.187514\pi\) | |||||||
\(38\) | −9.27364 | + | 5.35414i | −1.50438 | + | 0.868556i | ||||
\(39\) | 5.44275 | − | 0.0791926i | 0.871538 | − | 0.0126810i | ||||
\(40\) | −1.21594 | − | 8.48060i | −0.192257 | − | 1.34090i | ||||
\(41\) | −1.06535 | + | 1.84524i | −0.166380 | + | 0.288179i | −0.937144 | − | 0.348942i | \(-0.886541\pi\) |
0.770764 | + | 0.637120i | \(0.219875\pi\) | |||||||
\(42\) | −10.6259 | − | 2.24503i | −1.63961 | − | 0.346415i | ||||
\(43\) | −0.522099 | + | 0.301434i | −0.0796194 | + | 0.0459683i | −0.539281 | − | 0.842126i | \(-0.681304\pi\) |
0.459662 | + | 0.888094i | \(0.347971\pi\) | |||||||
\(44\) | − | 16.4601i | − | 2.48145i | ||||||
\(45\) | 6.29668 | + | 2.31341i | 0.938653 | + | 0.344862i | ||||
\(46\) | 19.6452 | 2.89652 | ||||||||
\(47\) | −4.73507 | + | 2.73379i | −0.690681 | + | 0.398765i | −0.803867 | − | 0.594809i | \(-0.797228\pi\) |
0.113186 | + | 0.993574i | \(0.463894\pi\) | |||||||
\(48\) | −1.55903 | + | 2.79340i | −0.225027 | + | 0.403193i | ||||
\(49\) | −5.77075 | + | 3.96212i | −0.824393 | + | 0.566017i | ||||
\(50\) | 8.56968 | + | 8.18397i | 1.21194 | + | 1.15739i | ||||
\(51\) | −5.30479 | + | 3.16651i | −0.742819 | + | 0.443400i | ||||
\(52\) | −5.68306 | − | 9.84336i | −0.788099 | − | 1.36503i | ||||
\(53\) | −6.77089 | −0.930053 | −0.465026 | − | 0.885297i | \(-0.653955\pi\) | ||||
−0.465026 | + | 0.885297i | \(0.653955\pi\) | |||||||
\(54\) | −6.61679 | − | 10.3860i | −0.900431 | − | 1.41335i | ||||
\(55\) | 6.28772 | + | 8.00192i | 0.847836 | + | 1.07898i | ||||
\(56\) | 3.00376 | + | 9.68174i | 0.401394 | + | 1.29378i | ||||
\(57\) | −6.71989 | + | 4.01120i | −0.890071 | + | 0.531296i | ||||
\(58\) | −5.97265 | − | 3.44831i | −0.784248 | − | 0.452786i | ||||
\(59\) | 0.177438 | − | 0.307331i | 0.0231004 | − | 0.0400111i | −0.854244 | − | 0.519872i | \(-0.825980\pi\) |
0.877345 | + | 0.479861i | \(0.159313\pi\) | |||||||
\(60\) | −2.18954 | − | 13.8351i | −0.282668 | − | 1.78610i | ||||
\(61\) | −10.4926 | + | 6.05789i | −1.34344 | + | 0.775634i | −0.987310 | − | 0.158804i | \(-0.949236\pi\) |
−0.356127 | + | 0.934438i | \(0.615903\pi\) | |||||||
\(62\) | 9.86604i | 1.25299i | ||||||||
\(63\) | −7.78887 | − | 1.52760i | −0.981305 | − | 0.192459i | ||||
\(64\) | −11.4808 | −1.43510 | ||||||||
\(65\) | 6.52291 | + | 2.61434i | 0.809067 | + | 0.324268i | ||||
\(66\) | −0.271797 | − | 18.6800i | −0.0334558 | − | 2.29936i | ||||
\(67\) | 7.94341 | + | 4.58613i | 0.970442 | + | 0.560285i | 0.899371 | − | 0.437186i | \(-0.144025\pi\) |
0.0710709 | + | 0.997471i | \(0.477358\pi\) | |||||||
\(68\) | 11.1719 | + | 6.45008i | 1.35479 | + | 0.782188i | ||||
\(69\) | 14.3559 | − | 0.208880i | 1.72825 | − | 0.0251462i | ||||
\(70\) | −11.5405 | − | 7.96246i | −1.37935 | − | 0.951696i | ||||
\(71\) | 9.03789i | 1.07260i | 0.844027 | + | 0.536300i | \(0.180179\pi\) | ||||
−0.844027 | + | 0.536300i | \(0.819821\pi\) | |||||||
\(72\) | −5.45509 | + | 10.1173i | −0.642889 | + | 1.19234i | ||||
\(73\) | 5.45769 | 0.638774 | 0.319387 | − | 0.947624i | \(-0.396523\pi\) | ||||
0.319387 | + | 0.947624i | \(0.396523\pi\) | |||||||
\(74\) | −13.8729 | + | 8.00953i | −1.61269 | + | 0.931089i | ||||
\(75\) | 6.34940 | + | 5.88941i | 0.733166 | + | 0.680050i | ||||
\(76\) | 14.1521 | + | 8.17070i | 1.62335 | + | 0.937243i | ||||
\(77\) | −8.84026 | − | 8.17572i | −1.00744 | − | 0.931710i | ||||
\(78\) | −6.61207 | − | 11.0771i | −0.748669 | − | 1.25423i | ||||
\(79\) | −2.26112 | − | 3.91637i | −0.254396 | − | 0.440626i | 0.710336 | − | 0.703863i | \(-0.248543\pi\) |
−0.964731 | + | 0.263237i | \(0.915210\pi\) | |||||||
\(80\) | −3.24733 | + | 2.55167i | −0.363062 | + | 0.285286i | ||||
\(81\) | −4.94572 | − | 7.51930i | −0.549525 | − | 0.835478i | ||||
\(82\) | 5.04966 | 0.557642 | ||||||||
\(83\) | −2.63304 | + | 1.52019i | −0.289014 | + | 0.166862i | −0.637497 | − | 0.770453i | \(-0.720030\pi\) |
0.348483 | + | 0.937315i | \(0.386697\pi\) | |||||||
\(84\) | 5.14082 | + | 15.7562i | 0.560909 | + | 1.71914i | ||||
\(85\) | −7.89501 | + | 1.13198i | −0.856335 | + | 0.122781i | ||||
\(86\) | 1.23735 | + | 0.714384i | 0.133427 | + | 0.0770340i | ||||
\(87\) | −4.40124 | − | 2.45639i | −0.471863 | − | 0.263352i | ||||
\(88\) | −15.1013 | + | 8.71875i | −1.60981 | + | 0.929422i | ||||
\(89\) | −7.74408 | −0.820871 | −0.410436 | − | 0.911890i | \(-0.634623\pi\) | ||||
−0.410436 | + | 0.911890i | \(0.634623\pi\) | |||||||
\(90\) | −2.71329 | − | 15.6649i | −0.286006 | − | 1.65122i | ||||
\(91\) | −8.10936 | − | 1.83697i | −0.850092 | − | 0.192567i | ||||
\(92\) | −14.9898 | − | 25.9631i | −1.56279 | − | 2.70684i | ||||
\(93\) | 0.104902 | + | 7.20972i | 0.0108778 | + | 0.747613i | ||||
\(94\) | 11.2219 | + | 6.47896i | 1.15745 | + | 0.668254i | ||||
\(95\) | −10.0011 | + | 1.43395i | −1.02609 | + | 0.147120i | ||||
\(96\) | −5.69033 | + | 0.0827949i | −0.580767 | + | 0.00845022i | ||||
\(97\) | −2.59531 | − | 4.49521i | −0.263514 | − | 0.456419i | 0.703659 | − | 0.710538i | \(-0.251548\pi\) |
−0.967173 | + | 0.254118i | \(0.918215\pi\) | |||||||
\(98\) | 14.9702 | + | 7.14910i | 1.51222 | + | 0.722168i | ||||
\(99\) | −0.397237 | − | 13.6478i | −0.0399238 | − | 1.37165i | ||||
\(100\) | 4.27705 | − | 17.5703i | 0.427705 | − | 1.75703i | ||||
\(101\) | −2.92803 | − | 5.07149i | −0.291349 | − | 0.504632i | 0.682780 | − | 0.730624i | \(-0.260771\pi\) |
−0.974129 | + | 0.225992i | \(0.927438\pi\) | |||||||
\(102\) | 12.7851 | + | 7.13552i | 1.26591 | + | 0.706522i | ||||
\(103\) | −1.57622 | + | 2.73010i | −0.155310 | + | 0.269005i | −0.933172 | − | 0.359431i | \(-0.882971\pi\) |
0.777862 | + | 0.628435i | \(0.216304\pi\) | |||||||
\(104\) | −6.02052 | + | 10.4279i | −0.590361 | + | 1.02253i | ||||
\(105\) | −8.51799 | − | 5.69595i | −0.831271 | − | 0.555868i | ||||
\(106\) | 8.02333 | + | 13.8968i | 0.779295 | + | 1.34978i | ||||
\(107\) | −3.76426 | −0.363905 | −0.181952 | − | 0.983307i | \(-0.558242\pi\) | ||||
−0.181952 | + | 0.983307i | \(0.558242\pi\) | |||||||
\(108\) | −8.67730 | + | 16.6695i | −0.834973 | + | 1.60402i | ||||
\(109\) | 8.57520 | 0.821355 | 0.410678 | − | 0.911781i | \(-0.365292\pi\) | ||||
0.410678 | + | 0.911781i | \(0.365292\pi\) | |||||||
\(110\) | 8.97265 | − | 22.3872i | 0.855509 | − | 2.13454i | ||||
\(111\) | −10.0526 | + | 6.00056i | −0.954152 | + | 0.569547i | ||||
\(112\) | 3.31786 | − | 3.58754i | 0.313508 | − | 0.338991i | ||||
\(113\) | 8.31285 | − | 14.3983i | 0.782007 | − | 1.35448i | −0.148763 | − | 0.988873i | \(-0.547529\pi\) |
0.930771 | − | 0.365604i | \(-0.119137\pi\) | |||||||
\(114\) | 16.1956 | + | 9.03898i | 1.51686 | + | 0.846578i | ||||
\(115\) | 17.2050 | + | 6.89563i | 1.60437 | + | 0.643021i | ||||
\(116\) | 10.5246i | 0.977185i | ||||||||
\(117\) | −4.94962 | − | 8.02439i | −0.457592 | − | 0.741855i | ||||
\(118\) | −0.841038 | −0.0774238 | ||||||||
\(119\) | 9.01322 | − | 2.79635i | 0.826241 | − | 0.256341i | ||||
\(120\) | −11.5332 | + | 9.33711i | −1.05284 | + | 0.852357i | ||||
\(121\) | 4.85662 | − | 8.41191i | 0.441511 | − | 0.764719i | ||||
\(122\) | 24.8669 | + | 14.3569i | 2.25134 | + | 1.29981i | ||||
\(123\) | 3.69010 | − | 0.0536913i | 0.332725 | − | 0.00484118i | ||||
\(124\) | 13.0390 | − | 7.52805i | 1.17093 | − | 0.676039i | ||||
\(125\) | 4.63255 | + | 10.1754i | 0.414348 | + | 0.910118i | ||||
\(126\) | 6.09432 | + | 17.7963i | 0.542925 | + | 1.58542i | ||||
\(127\) | 12.6935i | 1.12636i | 0.826333 | + | 0.563182i | \(0.190423\pi\) | ||||
−0.826333 | + | 0.563182i | \(0.809577\pi\) | |||||||
\(128\) | 10.3188 | + | 17.8726i | 0.912058 | + | 1.57973i | ||||
\(129\) | 0.911802 | + | 0.508888i | 0.0802797 | + | 0.0448051i | ||||
\(130\) | −2.36372 | − | 16.4858i | −0.207312 | − | 1.44590i | ||||
\(131\) | 2.49155 | − | 4.31549i | 0.217688 | − | 0.377046i | −0.736413 | − | 0.676532i | \(-0.763482\pi\) |
0.954101 | + | 0.299486i | \(0.0968153\pi\) | |||||||
\(132\) | −24.4802 | + | 14.6126i | −2.13072 | + | 1.27186i | ||||
\(133\) | 11.4176 | − | 3.54230i | 0.990029 | − | 0.307156i | ||||
\(134\) | − | 21.7378i | − | 1.87786i | ||||||
\(135\) | −2.14932 | − | 11.4184i | −0.184984 | − | 0.982741i | ||||
\(136\) | − | 13.6662i | − | 1.17186i | ||||||
\(137\) | −3.35632 | − | 5.81332i | −0.286750 | − | 0.496665i | 0.686282 | − | 0.727335i | \(-0.259242\pi\) |
−0.973032 | + | 0.230670i | \(0.925908\pi\) | |||||||
\(138\) | −17.4401 | − | 29.2171i | −1.48460 | − | 2.48713i | ||||
\(139\) | 2.63408 | + | 1.52079i | 0.223420 | + | 0.128991i | 0.607533 | − | 0.794295i | \(-0.292159\pi\) |
−0.384113 | + | 0.923286i | \(0.625493\pi\) | |||||||
\(140\) | −1.71750 | + | 21.3275i | −0.145155 | + | 1.80250i | ||||
\(141\) | 8.26940 | + | 4.61525i | 0.696409 | + | 0.388674i | ||||
\(142\) | 18.5497 | − | 10.7097i | 1.55666 | − | 0.898736i | ||||
\(143\) | − | 14.3030i | − | 1.19608i | ||||||
\(144\) | 5.53851 | − | 0.161206i | 0.461542 | − | 0.0134338i | ||||
\(145\) | −4.02037 | − | 5.11644i | −0.333874 | − | 0.424897i | ||||
\(146\) | −6.46723 | − | 11.2016i | −0.535231 | − | 0.927048i | ||||
\(147\) | 11.0157 | + | 5.06511i | 0.908556 | + | 0.417763i | ||||
\(148\) | 21.1708 | + | 12.2230i | 1.74023 | + | 1.00472i | ||||
\(149\) | −6.88579 | − | 3.97551i | −0.564106 | − | 0.325687i | 0.190686 | − | 0.981651i | \(-0.438929\pi\) |
−0.754792 | + | 0.655964i | \(0.772262\pi\) | |||||||
\(150\) | 4.56375 | − | 20.0106i | 0.372629 | − | 1.63385i | ||||
\(151\) | −3.11686 | − | 5.39856i | −0.253646 | − | 0.439328i | 0.710881 | − | 0.703313i | \(-0.248297\pi\) |
−0.964527 | + | 0.263984i | \(0.914963\pi\) | |||||||
\(152\) | − | 17.3117i | − | 1.40417i | ||||||
\(153\) | 9.41873 | + | 5.07842i | 0.761459 | + | 0.410566i | ||||
\(154\) | −6.30467 | + | 27.8321i | −0.508045 | + | 2.24278i | ||||
\(155\) | −3.46307 | + | 8.64054i | −0.278160 | + | 0.694025i | ||||
\(156\) | −9.59427 | + | 17.1906i | −0.768157 | + | 1.37635i | ||||
\(157\) | 10.0515 | − | 17.4097i | 0.802197 | − | 1.38945i | −0.115969 | − | 0.993253i | \(-0.536997\pi\) |
0.918167 | − | 0.396194i | \(-0.129669\pi\) | |||||||
\(158\) | −5.35874 | + | 9.28160i | −0.426318 | + | 0.738405i | ||||
\(159\) | 6.01090 | + | 10.0699i | 0.476695 | + | 0.798598i | ||||
\(160\) | −6.81962 | − | 2.73326i | −0.539138 | − | 0.216083i | ||||
\(161\) | −21.3894 | − | 4.84524i | −1.68572 | − | 0.381859i | ||||
\(162\) | −9.57233 | + | 19.0610i | −0.752074 | + | 1.49757i | ||||
\(163\) | 2.73202i | 0.213988i | 0.994260 | + | 0.106994i | \(0.0341226\pi\) | ||||
−0.994260 | + | 0.106994i | \(0.965877\pi\) | |||||||
\(164\) | −3.85302 | − | 6.67363i | −0.300871 | − | 0.521123i | ||||
\(165\) | 6.31883 | − | 16.4551i | 0.491920 | − | 1.28103i | ||||
\(166\) | 6.24017 | + | 3.60277i | 0.484331 | + | 0.279629i | ||||
\(167\) | −8.28522 | − | 4.78348i | −0.641130 | − | 0.370157i | 0.143920 | − | 0.989589i | \(-0.454029\pi\) |
−0.785050 | + | 0.619433i | \(0.787363\pi\) | |||||||
\(168\) | 11.7325 | − | 13.0623i | 0.905181 | − | 1.00778i | ||||
\(169\) | 1.56169 | + | 2.70494i | 0.120130 | + | 0.208072i | ||||
\(170\) | 11.6787 | + | 14.8627i | 0.895717 | + | 1.13991i | ||||
\(171\) | 11.9312 | + | 6.43313i | 0.912405 | + | 0.491954i | ||||
\(172\) | − | 2.18037i | − | 0.166252i | ||||||
\(173\) | −11.0434 | + | 6.37592i | −0.839616 | + | 0.484752i | −0.857134 | − | 0.515094i | \(-0.827757\pi\) |
0.0175178 | + | 0.999847i | \(0.494424\pi\) | |||||||
\(174\) | 0.173787 | + | 11.9440i | 0.0131748 | + | 0.905475i | ||||
\(175\) | −7.31209 | − | 11.0242i | −0.552742 | − | 0.833352i | ||||
\(176\) | 7.27964 | + | 4.20290i | 0.548724 | + | 0.316806i | ||||
\(177\) | −0.614598 | + | 0.00894246i | −0.0461960 | + | 0.000672156i | ||||
\(178\) | 9.17655 | + | 15.8942i | 0.687811 | + | 1.19132i | ||||
\(179\) | 11.1771i | 0.835417i | 0.908581 | + | 0.417708i | \(0.137167\pi\) | ||||
−0.908581 | + | 0.417708i | \(0.862833\pi\) | |||||||
\(180\) | −18.6324 | + | 15.5386i | −1.38878 | + | 1.15818i | ||||
\(181\) | − | 25.1496i | − | 1.86936i | −0.355493 | − | 0.934679i | \(-0.615687\pi\) | ||
0.355493 | − | 0.934679i | \(-0.384313\pi\) | |||||||
\(182\) | 5.83913 | + | 18.8207i | 0.432825 | + | 1.39509i | ||||
\(183\) | 18.3244 | + | 10.2271i | 1.35458 | + | 0.756006i | ||||
\(184\) | −15.8799 | + | 27.5047i | −1.17068 | + | 2.02768i | ||||
\(185\) | −14.9611 | + | 2.14511i | −1.09996 | + | 0.157712i | ||||
\(186\) | 14.6732 | − | 8.75865i | 1.07589 | − | 0.642215i | ||||
\(187\) | 8.11672 | + | 14.0586i | 0.593554 | + | 1.02806i | ||||
\(188\) | − | 19.7745i | − | 1.44220i | ||||||
\(189\) | 4.64271 | + | 12.9401i | 0.337708 | + | 0.941251i | ||||
\(190\) | 14.7941 | + | 18.8274i | 1.07328 | + | 1.36588i | ||||
\(191\) | 4.66832 | − | 2.69525i | 0.337788 | − | 0.195022i | −0.321506 | − | 0.946908i | \(-0.604189\pi\) |
0.659293 | + | 0.751886i | \(0.270856\pi\) | |||||||
\(192\) | 10.1921 | + | 17.0747i | 0.735553 | + | 1.23226i | ||||
\(193\) | −2.47837 | − | 1.43089i | −0.178397 | − | 0.102998i | 0.408142 | − | 0.912918i | \(-0.366177\pi\) |
−0.586539 | + | 0.809921i | \(0.699510\pi\) | |||||||
\(194\) | −6.15076 | + | 10.6534i | −0.441599 | + | 0.764872i | ||||
\(195\) | −1.90260 | − | 12.0220i | −0.136248 | − | 0.860916i | ||||
\(196\) | −1.97441 | − | 25.2396i | −0.141030 | − | 1.80283i | ||||
\(197\) | 6.81003 | 0.485195 | 0.242597 | − | 0.970127i | \(-0.422001\pi\) | ||||
0.242597 | + | 0.970127i | \(0.422001\pi\) | |||||||
\(198\) | −27.5405 | + | 16.9876i | −1.95722 | + | 1.20725i | ||||
\(199\) | 15.1939i | 1.07707i | 0.842604 | + | 0.538534i | \(0.181022\pi\) | ||||
−0.842604 | + | 0.538534i | \(0.818978\pi\) | |||||||
\(200\) | −18.3853 | + | 5.38281i | −1.30004 | + | 0.380622i | ||||
\(201\) | −0.231130 | − | 15.8851i | −0.0163027 | − | 1.12045i | ||||
\(202\) | −6.93928 | + | 12.0192i | −0.488246 | + | 0.845667i | ||||
\(203\) | 5.65247 | + | 5.22756i | 0.396726 | + | 0.366903i | ||||
\(204\) | −0.325069 | − | 22.3414i | −0.0227594 | − | 1.56421i | ||||
\(205\) | 4.42242 | + | 1.77248i | 0.308875 | + | 0.123795i | ||||
\(206\) | 7.47115 | 0.520539 | ||||||||
\(207\) | −13.0552 | − | 21.1653i | −0.907401 | − | 1.47109i | ||||
\(208\) | 5.80443 | 0.402465 | ||||||||
\(209\) | 10.2819 | + | 17.8088i | 0.711216 | + | 1.23186i | ||||
\(210\) | −1.59697 | + | 24.2322i | −0.110201 | + | 1.67218i | ||||
\(211\) | −6.05353 | + | 10.4850i | −0.416742 | + | 0.721818i | −0.995610 | − | 0.0936032i | \(-0.970162\pi\) |
0.578868 | + | 0.815422i | \(0.303495\pi\) | |||||||
\(212\) | 12.2440 | − | 21.2073i | 0.840923 | − | 1.45652i | ||||
\(213\) | 13.4415 | − | 8.02345i | 0.920998 | − | 0.549758i | ||||
\(214\) | 4.46056 | + | 7.72591i | 0.304918 | + | 0.528133i | ||||
\(215\) | 0.832898 | + | 1.05997i | 0.0568031 | + | 0.0722892i | ||||
\(216\) | 19.8897 | − | 0.868682i | 1.35332 | − | 0.0591063i | ||||
\(217\) | 2.43334 | − | 10.7420i | 0.165186 | − | 0.729217i | ||||
\(218\) | −10.1614 | − | 17.6001i | −0.688217 | − | 1.19203i | ||||
\(219\) | −4.84510 | − | 8.11690i | −0.327401 | − | 0.548489i | ||||
\(220\) | −36.4333 | + | 5.22379i | −2.45633 | + | 0.352188i | ||||
\(221\) | 9.70781 | + | 5.60481i | 0.653018 | + | 0.377020i | ||||
\(222\) | 24.2279 | + | 13.5219i | 1.62607 | + | 0.907528i | ||||
\(223\) | −5.32735 | − | 9.22724i | −0.356746 | − | 0.617902i | 0.630669 | − | 0.776052i | \(-0.282780\pi\) |
−0.987415 | + | 0.158150i | \(0.949447\pi\) | |||||||
\(224\) | 8.47825 | + | 1.92053i | 0.566477 | + | 0.128321i | ||||
\(225\) | 3.12225 | − | 14.6715i | 0.208150 | − | 0.978097i | ||||
\(226\) | −39.4021 | −2.62099 | ||||||||
\(227\) | 18.5408 | − | 10.7045i | 1.23059 | − | 0.710484i | 0.263441 | − | 0.964676i | \(-0.415143\pi\) |
0.967154 | + | 0.254192i | \(0.0818094\pi\) | |||||||
\(228\) | −0.411784 | − | 28.3011i | −0.0272711 | − | 1.87429i | ||||
\(229\) | −15.6721 | − | 9.04829i | −1.03564 | − | 0.597928i | −0.117045 | − | 0.993127i | \(-0.537342\pi\) |
−0.918596 | + | 0.395199i | \(0.870676\pi\) | |||||||
\(230\) | −6.23460 | − | 43.4833i | −0.411098 | − | 2.86720i | ||||
\(231\) | −4.31128 | + | 20.4057i | −0.283661 | + | 1.34259i | ||||
\(232\) | 9.65579 | − | 5.57478i | 0.633934 | − | 0.366002i | ||||
\(233\) | −27.9727 | −1.83255 | −0.916277 | − | 0.400544i | \(-0.868821\pi\) | ||||
−0.916277 | + | 0.400544i | \(0.868821\pi\) | |||||||
\(234\) | −10.6044 | + | 19.6675i | −0.693230 | + | 1.28570i | ||||
\(235\) | 7.55379 | + | 9.61316i | 0.492755 | + | 0.627093i | ||||
\(236\) | 0.641734 | + | 1.11152i | 0.0417733 | + | 0.0723535i | ||||
\(237\) | −3.81727 | + | 6.83961i | −0.247958 | + | 0.444280i | ||||
\(238\) | −16.4198 | − | 15.1855i | −1.06434 | − | 0.984328i | ||||
\(239\) | −10.8327 | − | 6.25427i | −0.700710 | − | 0.404555i | 0.106902 | − | 0.994270i | \(-0.465907\pi\) |
−0.807612 | + | 0.589714i | \(0.799240\pi\) | |||||||
\(240\) | 6.67779 | + | 2.56430i | 0.431049 | + | 0.165525i | ||||
\(241\) | −15.8467 | + | 9.14907i | −1.02077 | + | 0.589344i | −0.914328 | − | 0.404975i | \(-0.867280\pi\) |
−0.106445 | + | 0.994319i | \(0.533947\pi\) | |||||||
\(242\) | −23.0199 | −1.47977 | ||||||||
\(243\) | −6.79242 | + | 14.0308i | −0.435734 | + | 0.900076i | ||||
\(244\) | − | 43.8188i | − | 2.80521i | ||||||
\(245\) | 10.6013 | + | 11.5158i | 0.677292 | + | 0.735714i | ||||
\(246\) | −4.48287 | − | 7.51007i | −0.285817 | − | 0.478825i | ||||
\(247\) | 12.2974 | + | 7.09994i | 0.782468 | + | 0.451758i | ||||
\(248\) | −13.8132 | − | 7.97506i | −0.877140 | − | 0.506417i | ||||
\(249\) | 4.59838 | + | 2.56641i | 0.291411 | + | 0.162640i | ||||
\(250\) | 15.3950 | − | 21.5657i | 0.973664 | − | 1.36393i | ||||
\(251\) | −1.15005 | −0.0725903 | −0.0362952 | − | 0.999341i | \(-0.511556\pi\) | ||||
−0.0362952 | + | 0.999341i | \(0.511556\pi\) | |||||||
\(252\) | 18.8695 | − | 21.6333i | 1.18867 | − | 1.36277i | ||||
\(253\) | − | 37.7260i | − | 2.37181i | ||||||
\(254\) | 26.0526 | − | 15.0415i | 1.63469 | − | 0.943786i | ||||
\(255\) | 8.69238 | + | 10.7369i | 0.544338 | + | 0.672369i | ||||
\(256\) | 12.9742 | − | 22.4720i | 0.810887 | − | 1.40450i | ||||
\(257\) | −8.56452 | − | 4.94473i | −0.534240 | − | 0.308444i | 0.208501 | − | 0.978022i | \(-0.433141\pi\) |
−0.742741 | + | 0.669578i | \(0.766475\pi\) | |||||||
\(258\) | −0.0360033 | − | 2.47444i | −0.00224147 | − | 0.154052i | ||||
\(259\) | 17.0801 | − | 5.29910i | 1.06131 | − | 0.329270i | ||||
\(260\) | −19.9840 | + | 15.7030i | −1.23936 | + | 0.973857i | ||||
\(261\) | 0.253993 | + | 8.72639i | 0.0157218 | + | 0.540150i | ||||
\(262\) | −11.8097 | −0.729605 | ||||||||
\(263\) | 4.86175 | + | 8.42080i | 0.299789 | + | 0.519249i | 0.976087 | − | 0.217378i | \(-0.0697505\pi\) |
−0.676299 | + | 0.736627i | \(0.736417\pi\) | |||||||
\(264\) | 26.3732 | + | 14.7192i | 1.62316 | + | 0.905903i | ||||
\(265\) | 2.14881 | + | 14.9869i | 0.132000 | + | 0.920638i | ||||
\(266\) | −20.7999 | − | 19.2363i | −1.27532 | − | 1.17945i | ||||
\(267\) | 6.87486 | + | 11.5173i | 0.420735 | + | 0.704849i | ||||
\(268\) | −28.7287 | + | 16.5865i | −1.75488 | + | 1.01318i | ||||
\(269\) | 15.4952 | 0.944758 | 0.472379 | − | 0.881395i | \(-0.343395\pi\) | ||||
0.472379 | + | 0.881395i | \(0.343395\pi\) | |||||||
\(270\) | −20.8887 | + | 17.9419i | −1.27125 | + | 1.09191i | ||||
\(271\) | − | 3.31539i | − | 0.201396i | −0.994917 | − | 0.100698i | \(-0.967892\pi\) | ||
0.994917 | − | 0.100698i | \(-0.0321076\pi\) | |||||||
\(272\) | −5.70523 | + | 3.29391i | −0.345930 | + | 0.199723i | ||||
\(273\) | 4.46712 | + | 13.6914i | 0.270362 | + | 0.828640i | ||||
\(274\) | −7.95432 | + | 13.7773i | −0.480538 | + | 0.832316i | ||||
\(275\) | 15.7162 | − | 16.4569i | 0.947725 | − | 0.992391i | ||||
\(276\) | −25.3061 | + | 45.3423i | −1.52325 | + | 2.72929i | ||||
\(277\) | −27.7792 | + | 16.0384i | −1.66909 | + | 0.963651i | −0.700965 | + | 0.713195i | \(0.747247\pi\) |
−0.968128 | + | 0.250456i | \(0.919419\pi\) | |||||||
\(278\) | − | 7.20837i | − | 0.432330i | ||||||
\(279\) | 10.6295 | − | 6.55649i | 0.636370 | − | 0.392527i | ||||
\(280\) | 20.4766 | − | 9.72121i | 1.22371 | − | 0.580954i | ||||
\(281\) | 26.4715 | − | 15.2833i | 1.57916 | − | 0.911727i | 0.584180 | − | 0.811624i | \(-0.301416\pi\) |
0.994977 | − | 0.100103i | \(-0.0319172\pi\) | |||||||
\(282\) | −0.326525 | − | 22.4414i | −0.0194443 | − | 1.33637i | ||||
\(283\) | 2.38835 | − | 4.13674i | 0.141973 | − | 0.245904i | −0.786267 | − | 0.617887i | \(-0.787989\pi\) |
0.928239 | + | 0.371983i | \(0.121322\pi\) | |||||||
\(284\) | −28.3078 | − | 16.3435i | −1.67976 | − | 0.969810i | ||||
\(285\) | 11.0111 | + | 13.6010i | 0.652244 | + | 0.805655i | ||||
\(286\) | −29.3561 | + | 16.9487i | −1.73586 | + | 1.00220i | ||||
\(287\) | −5.49801 | − | 1.24544i | −0.324538 | − | 0.0735158i | ||||
\(288\) | 5.17477 | + | 8.38940i | 0.304926 | + | 0.494350i | ||||
\(289\) | 4.27747 | 0.251616 | ||||||||
\(290\) | −5.73712 | + | 14.3144i | −0.336895 | + | 0.840572i | ||||
\(291\) | −4.38146 | + | 7.85051i | −0.256846 | + | 0.460205i | ||||
\(292\) | −9.86932 | + | 17.0942i | −0.577558 | + | 1.00036i | ||||
\(293\) | −0.320683 | − | 0.185146i | −0.0187345 | − | 0.0108164i | 0.490604 | − | 0.871383i | \(-0.336776\pi\) |
−0.509338 | + | 0.860567i | \(0.670110\pi\) | |||||||
\(294\) | −2.65747 | − | 28.6110i | −0.154987 | − | 1.66863i | ||||
\(295\) | −0.736569 | − | 0.295212i | −0.0428847 | − | 0.0171879i | ||||
\(296\) | − | 25.8975i | − | 1.50526i | ||||||
\(297\) | −19.9449 | + | 12.7067i | −1.15732 | + | 0.737316i | ||||
\(298\) | 18.8436i | 1.09158i | ||||||||
\(299\) | −13.0254 | − | 22.5606i | −0.753278 | − | 1.30472i | ||||
\(300\) | −29.9282 | + | 9.23711i | −1.72791 | + | 0.533305i | ||||
\(301\) | −1.17102 | − | 1.08299i | −0.0674963 | − | 0.0624225i | ||||
\(302\) | −7.38680 | + | 12.7943i | −0.425063 | + | 0.736230i | ||||
\(303\) | −4.94316 | + | 8.85693i | −0.283977 | + | 0.508817i | ||||
\(304\) | −7.22714 | + | 4.17259i | −0.414505 | + | 0.239315i | ||||
\(305\) | 16.7387 | + | 21.3021i | 0.958453 | + | 1.21975i | ||||
\(306\) | −0.737822 | − | 25.3492i | −0.0421785 | − | 1.44911i | ||||
\(307\) | −6.95027 | −0.396673 | −0.198337 | − | 0.980134i | \(-0.563554\pi\) | ||||
−0.198337 | + | 0.980134i | \(0.563554\pi\) | |||||||
\(308\) | 41.5935 | − | 12.9044i | 2.37001 | − | 0.735295i | ||||
\(309\) | 5.45962 | − | 0.0794380i | 0.310587 | − | 0.00451907i | ||||
\(310\) | 21.8378 | − | 3.13109i | 1.24030 | − | 0.177834i | ||||
\(311\) | −12.2459 | + | 21.2106i | −0.694403 | + | 1.20274i | 0.275979 | + | 0.961164i | \(0.410998\pi\) |
−0.970382 | + | 0.241577i | \(0.922335\pi\) | |||||||
\(312\) | 20.8535 | − | 0.303420i | 1.18060 | − | 0.0171778i | ||||
\(313\) | −1.67024 | − | 2.89293i | −0.0944074 | − | 0.163518i | 0.814954 | − | 0.579526i | \(-0.196762\pi\) |
−0.909361 | + | 0.416008i | \(0.863429\pi\) | |||||||
\(314\) | −47.6431 | −2.68866 | ||||||||
\(315\) | −0.909349 | + | 17.7249i | −0.0512360 | + | 0.998687i | ||||
\(316\) | 16.3554 | 0.920064 | ||||||||
\(317\) | 7.03186 | + | 12.1795i | 0.394948 | + | 0.684071i | 0.993095 | − | 0.117316i | \(-0.0374291\pi\) |
−0.598146 | + | 0.801387i | \(0.704096\pi\) | |||||||
\(318\) | 13.5452 | − | 24.2696i | 0.759575 | − | 1.36097i | ||||
\(319\) | −6.62203 | + | 11.4697i | −0.370763 | + | 0.642180i | ||||
\(320\) | 3.64354 | + | 25.4119i | 0.203680 | + | 1.42057i | ||||
\(321\) | 3.34175 | + | 5.59837i | 0.186518 | + | 0.312470i | ||||
\(322\) | 15.4014 | + | 49.6420i | 0.858287 | + | 2.76644i | ||||
\(323\) | −16.1164 | −0.896739 | ||||||||
\(324\) | 32.4949 | − | 1.89322i | 1.80527 | − | 0.105179i | ||||
\(325\) | 3.71654 | − | 15.2677i | 0.206157 | − | 0.846899i | ||||
\(326\) | 5.60730 | − | 3.23738i | 0.310560 | − | 0.179302i | ||||
\(327\) | −7.61269 | − | 12.7534i | −0.420983 | − | 0.705265i | ||||
\(328\) | −4.08181 | + | 7.06991i | −0.225380 | + | 0.390370i | ||||
\(329\) | −10.6203 | − | 9.82196i | −0.585516 | − | 0.541502i | ||||
\(330\) | −41.2608 | + | 6.52991i | −2.27133 | + | 0.359460i | ||||
\(331\) | −5.64786 | − | 9.78238i | −0.310434 | − | 0.537688i | 0.668022 | − | 0.744142i | \(-0.267141\pi\) |
−0.978456 | + | 0.206453i | \(0.933808\pi\) | |||||||
\(332\) | − | 10.9960i | − | 0.603485i | ||||||
\(333\) | 17.8486 | + | 9.62364i | 0.978095 | + | 0.527372i | ||||
\(334\) | 22.6732i | 1.24062i | ||||||||
\(335\) | 7.63016 | − | 19.0377i | 0.416880 | − | 1.04014i | ||||
\(336\) | −8.28099 | − | 1.74959i | −0.451765 | − | 0.0954482i | ||||
\(337\) | −4.91541 | − | 2.83791i | −0.267759 | − | 0.154591i | 0.360110 | − | 0.932910i | \(-0.382739\pi\) |
−0.627869 | + | 0.778319i | \(0.716073\pi\) | |||||||
\(338\) | 3.70114 | − | 6.41056i | 0.201316 | − | 0.348689i | ||||
\(339\) | −28.7935 | + | 0.418949i | −1.56385 | + | 0.0227542i | ||||
\(340\) | 10.7313 | − | 26.7752i | 0.581987 | − | 1.45209i | ||||
\(341\) | 18.9464 | 1.02601 | ||||||||
\(342\) | −0.934642 | − | 32.1112i | −0.0505396 | − | 1.73638i | ||||
\(343\) | −14.5362 | − | 11.4761i | −0.784879 | − | 0.619650i | ||||
\(344\) | −2.00038 | + | 1.15492i | −0.107853 | + | 0.0622692i | ||||
\(345\) | −5.01835 | − | 31.7096i | −0.270179 | − | 1.70719i | ||||
\(346\) | 26.1724 | + | 15.1106i | 1.40704 | + | 0.812352i | ||||
\(347\) | 5.27646 | − | 9.13910i | 0.283255 | − | 0.490612i | −0.688929 | − | 0.724828i | \(-0.741919\pi\) |
0.972185 | + | 0.234216i | \(0.0752523\pi\) | |||||||
\(348\) | 15.6526 | − | 9.34329i | 0.839069 | − | 0.500853i | ||||
\(349\) | 19.9306 | − | 11.5069i | 1.06686 | − | 0.615953i | 0.139539 | − | 0.990217i | \(-0.455438\pi\) |
0.927322 | + | 0.374264i | \(0.122105\pi\) | |||||||
\(350\) | −13.9619 | + | 28.0710i | −0.746294 | + | 1.50046i | ||||
\(351\) | −7.54015 | + | 14.4850i | −0.402463 | + | 0.773151i | ||||
\(352\) | 14.9536i | 0.797032i | ||||||||
\(353\) | −5.34262 | + | 3.08457i | −0.284359 | + | 0.164175i | −0.635395 | − | 0.772187i | \(-0.719163\pi\) |
0.351036 | + | 0.936362i | \(0.385829\pi\) | |||||||
\(354\) | 0.746637 | + | 1.25083i | 0.0396833 | + | 0.0664807i | ||||
\(355\) | 20.0048 | − | 2.86827i | 1.06174 | − | 0.152232i | ||||
\(356\) | 14.0039 | − | 24.2554i | 0.742205 | − | 1.28554i | ||||
\(357\) | −12.1604 | − | 10.9224i | −0.643596 | − | 0.578073i | ||||
\(358\) | 22.9403 | − | 13.2446i | 1.21243 | − | 0.699999i | ||||
\(359\) | 36.9761i | 1.95153i | 0.218832 | + | 0.975763i | \(0.429775\pi\) | ||||
−0.218832 | + | 0.975763i | \(0.570225\pi\) | |||||||
\(360\) | 24.1252 | + | 8.86364i | 1.27151 | + | 0.467155i | ||||
\(361\) | −1.41554 | −0.0745020 | ||||||||
\(362\) | −51.6181 | + | 29.8017i | −2.71299 | + | 1.56634i | ||||
\(363\) | −16.8220 | + | 0.244762i | −0.882928 | + | 0.0128467i | ||||
\(364\) | 20.4181 | − | 22.0777i | 1.07020 | − | 1.15719i | ||||
\(365\) | −1.73205 | − | 12.0802i | −0.0906599 | − | 0.632308i | ||||
\(366\) | −0.723555 | − | 49.7285i | −0.0378208 | − | 2.59935i | ||||
\(367\) | −17.4936 | − | 30.2998i | −0.913160 | − | 1.58164i | −0.809574 | − | 0.587018i | \(-0.800302\pi\) |
−0.103586 | − | 0.994621i | \(-0.533032\pi\) | |||||||
\(368\) | 15.3099 | 0.798083 | ||||||||
\(369\) | −3.35576 | − | 5.44040i | −0.174694 | − | 0.283216i | ||||
\(370\) | 22.1313 | + | 28.1648i | 1.15055 | + | 1.46422i | ||||
\(371\) | −5.30823 | − | 17.1096i | −0.275590 | − | 0.888284i | ||||
\(372\) | −22.7715 | − | 12.7090i | −1.18064 | − | 0.658932i | ||||
\(373\) | 21.8533 | + | 12.6170i | 1.13152 | + | 0.653283i | 0.944317 | − | 0.329038i | \(-0.106724\pi\) |
0.187203 | + | 0.982321i | \(0.440058\pi\) | |||||||
\(374\) | 19.2362 | − | 33.3181i | 0.994682 | − | 1.72284i | ||||
\(375\) | 11.0208 | − | 15.9230i | 0.569109 | − | 0.822262i | ||||
\(376\) | −18.1421 | + | 10.4743i | −0.935606 | + | 0.540172i | ||||
\(377\) | 9.14537i | 0.471010i | ||||||||
\(378\) | 21.0572 | − | 24.8625i | 1.08306 | − | 1.27879i | ||||
\(379\) | 6.47034 | 0.332359 | 0.166180 | − | 0.986095i | \(-0.446857\pi\) | ||||
0.166180 | + | 0.986095i | \(0.446857\pi\) | |||||||
\(380\) | 13.5940 | − | 33.9177i | 0.697356 | − | 1.73994i | ||||
\(381\) | 18.8783 | − | 11.2687i | 0.967164 | − | 0.577314i | ||||
\(382\) | −11.0637 | − | 6.38762i | −0.566067 | − | 0.326819i | ||||
\(383\) | 25.2344 | + | 14.5691i | 1.28942 | + | 0.744446i | 0.978551 | − | 0.206007i | \(-0.0660469\pi\) |
0.310868 | + | 0.950453i | \(0.399380\pi\) | |||||||
\(384\) | 17.4204 | − | 31.2130i | 0.888979 | − | 1.59283i | ||||
\(385\) | −15.2909 | + | 22.1620i | −0.779294 | + | 1.12948i | ||||
\(386\) | 6.78227i | 0.345208i | ||||||||
\(387\) | −0.0526196 | − | 1.80784i | −0.00267481 | − | 0.0918976i | ||||
\(388\) | 18.7728 | 0.953042 | ||||||||
\(389\) | 4.54311 | − | 2.62296i | 0.230345 | − | 0.132990i | −0.380386 | − | 0.924828i | \(-0.624209\pi\) |
0.610731 | + | 0.791838i | \(0.290876\pi\) | |||||||
\(390\) | −22.4199 | + | 18.1508i | −1.13528 | + | 0.919101i | ||||
\(391\) | 25.6055 | + | 14.7834i | 1.29493 | + | 0.747627i | ||||
\(392\) | −22.1102 | + | 15.1806i | −1.11673 | + | 0.766734i | ||||
\(393\) | −8.63006 | + | 0.125568i | −0.435329 | + | 0.00633408i | ||||
\(394\) | −8.06972 | − | 13.9772i | −0.406547 | − | 0.704160i | ||||
\(395\) | −7.95103 | + | 6.24773i | −0.400060 | + | 0.314357i | ||||
\(396\) | 43.4648 | + | 23.4355i | 2.18419 | + | 1.17768i | ||||
\(397\) | −6.76367 | −0.339459 | −0.169729 | − | 0.985491i | \(-0.554289\pi\) | ||||
−0.169729 | + | 0.985491i | \(0.554289\pi\) | |||||||
\(398\) | 31.1845 | − | 18.0044i | 1.56314 | − | 0.902479i | ||||
\(399\) | −15.4043 | − | 13.8360i | −0.771178 | − | 0.692666i | ||||
\(400\) | 6.67852 | + | 6.37793i | 0.333926 | + | 0.318897i | ||||
\(401\) | 27.7268 | + | 16.0081i | 1.38461 | + | 0.799406i | 0.992702 | − | 0.120597i | \(-0.0384808\pi\) |
0.391911 | + | 0.920003i | \(0.371814\pi\) | |||||||
\(402\) | −32.3294 | + | 19.2979i | −1.61244 | + | 0.962491i | ||||
\(403\) | 11.3302 | − | 6.54150i | 0.564398 | − | 0.325856i | ||||
\(404\) | 21.1794 | 1.05371 | ||||||||
\(405\) | −15.0739 | + | 13.3333i | −0.749027 | + | 0.662539i | ||||
\(406\) | 4.03121 | − | 17.7959i | 0.200066 | − | 0.883195i | ||||
\(407\) | 15.3812 | + | 26.6411i | 0.762420 | + | 1.32055i | ||||
\(408\) | −20.3249 | + | 12.1322i | −1.00623 | + | 0.600635i | ||||
\(409\) | −3.99065 | − | 2.30401i | −0.197325 | − | 0.113926i | 0.398082 | − | 0.917350i | \(-0.369676\pi\) |
−0.595407 | + | 0.803424i | \(0.703009\pi\) | |||||||
\(410\) | −1.60256 | − | 11.1771i | −0.0791450 | − | 0.551997i | ||||
\(411\) | −5.66621 | + | 10.1525i | −0.279494 | + | 0.500784i | ||||
\(412\) | −5.70068 | − | 9.87386i | −0.280852 | − | 0.486450i | ||||
\(413\) | 0.915713 | + | 0.207432i | 0.0450593 | + | 0.0102070i | ||||
\(414\) | −27.9703 | + | 51.8754i | −1.37467 | + | 2.54954i | ||||
\(415\) | 4.20045 | + | 5.34561i | 0.206192 | + | 0.262405i | ||||
\(416\) | 5.16294 | + | 8.94247i | 0.253134 | + | 0.438441i | ||||
\(417\) | −0.0766441 | − | 5.26760i | −0.00375328 | − | 0.257955i | ||||
\(418\) | 24.3677 | − | 42.2060i | 1.19186 | − | 2.06436i | ||||
\(419\) | −6.86831 | + | 11.8963i | −0.335539 | + | 0.581170i | −0.983588 | − | 0.180428i | \(-0.942252\pi\) |
0.648049 | + | 0.761598i | \(0.275585\pi\) | |||||||
\(420\) | 33.2438 | − | 16.3792i | 1.62213 | − | 0.799225i | ||||
\(421\) | −10.6455 | − | 18.4386i | −0.518832 | − | 0.898644i | −0.999761 | − | 0.0218837i | \(-0.993034\pi\) |
0.480928 | − | 0.876760i | \(-0.340300\pi\) | |||||||
\(422\) | 28.6931 | 1.39676 | ||||||||
\(423\) | −0.477223 | − | 16.3958i | −0.0232034 | − | 0.797192i | ||||
\(424\) | −25.9421 | −1.25986 | ||||||||
\(425\) | 5.01113 | + | 17.1158i | 0.243076 | + | 0.830240i | ||||
\(426\) | −32.3955 | − | 18.0803i | −1.56957 | − | 0.875994i | ||||
\(427\) | −23.5338 | − | 21.7647i | −1.13888 | − | 1.05327i | ||||
\(428\) | 6.80704 | − | 11.7901i | 0.329031 | − | 0.569898i | ||||
\(429\) | −21.2721 | + | 12.6976i | −1.02702 | + | 0.613046i | ||||
\(430\) | 1.18855 | − | 2.96551i | 0.0573172 | − | 0.143009i | ||||
\(431\) | 6.99293i | 0.336838i | 0.985716 | + | 0.168419i | \(0.0538661\pi\) | ||||
−0.985716 | + | 0.168419i | \(0.946134\pi\) | |||||||
\(432\) | −5.15660 | − | 8.09399i | −0.248097 | − | 0.389422i | ||||
\(433\) | 16.3174 | 0.784163 | 0.392081 | − | 0.919931i | \(-0.371755\pi\) | ||||
0.392081 | + | 0.919931i | \(0.371755\pi\) | |||||||
\(434\) | −24.9308 | + | 7.73477i | −1.19672 | + | 0.371281i | ||||
\(435\) | −4.04026 | + | 10.5214i | −0.193716 | + | 0.504463i | ||||
\(436\) | −15.5068 | + | 26.8586i | −0.742642 | + | 1.28629i | ||||
\(437\) | 32.4360 | + | 18.7270i | 1.55163 | + | 0.895832i | ||||
\(438\) | −10.9181 | + | 19.5626i | −0.521688 | + | 0.934737i | ||||
\(439\) | −0.597517 | + | 0.344977i | −0.0285179 | + | 0.0164648i | −0.514191 | − | 0.857676i | \(-0.671908\pi\) |
0.485673 | + | 0.874140i | \(0.338574\pi\) | |||||||
\(440\) | 24.0909 | + | 30.6588i | 1.14849 | + | 1.46160i | ||||
\(441\) | −2.24618 | − | 20.8795i | −0.106961 | − | 0.994263i | ||||
\(442\) | − | 26.5662i | − | 1.26363i | ||||||
\(443\) | −15.4476 | − | 26.7561i | −0.733939 | − | 1.27122i | −0.955187 | − | 0.296003i | \(-0.904346\pi\) |
0.221248 | − | 0.975218i | \(-0.428987\pi\) | |||||||
\(444\) | −0.616009 | − | 42.3371i | −0.0292345 | − | 2.00923i | ||||
\(445\) | 2.45767 | + | 17.1410i | 0.116505 | + | 0.812561i | ||||
\(446\) | −12.6256 | + | 21.8681i | −0.597838 | + | 1.03548i | ||||
\(447\) | 0.200357 | + | 13.7701i | 0.00947655 | + | 0.651305i | ||||
\(448\) | −9.00068 | − | 29.0111i | −0.425242 | − | 1.37065i | ||||
\(449\) | − | 16.1763i | − | 0.763407i | −0.924285 | − | 0.381704i | \(-0.875338\pi\) | ||
0.924285 | − | 0.381704i | \(-0.124662\pi\) | |||||||
\(450\) | −33.8120 | + | 10.9771i | −1.59391 | + | 0.517465i | ||||
\(451\) | − | 9.69721i | − | 0.456624i | ||||||
\(452\) | 30.0648 | + | 52.0738i | 1.41413 | + | 2.44935i | ||||
\(453\) | −5.26195 | + | 9.42813i | −0.247228 | + | 0.442972i | ||||
\(454\) | −43.9407 | − | 25.3692i | −2.06224 | − | 1.19064i | ||||
\(455\) | −1.49242 | + | 18.5325i | −0.0699659 | + | 0.868818i | ||||
\(456\) | −25.7467 | + | 15.3686i | −1.20570 | + | 0.719701i | ||||
\(457\) | −5.17419 | + | 2.98732i | −0.242038 | + | 0.139741i | −0.616113 | − | 0.787658i | \(-0.711294\pi\) |
0.374075 | + | 0.927398i | \(0.377960\pi\) | |||||||
\(458\) | 42.8880i | 2.00402i | ||||||||
\(459\) | −0.808700 | − | 18.5163i | −0.0377469 | − | 0.864268i | ||||
\(460\) | −52.7103 | + | 41.4185i | −2.45763 | + | 1.93115i | ||||
\(461\) | 19.9237 | + | 34.5089i | 0.927940 | + | 1.60724i | 0.786764 | + | 0.617254i | \(0.211755\pi\) |
0.141175 | + | 0.989985i | \(0.454912\pi\) | |||||||
\(462\) | 46.9901 | − | 15.3316i | 2.18618 | − | 0.713290i | ||||
\(463\) | 15.3654 | + | 8.87122i | 0.714091 | + | 0.412280i | 0.812574 | − | 0.582858i | \(-0.198066\pi\) |
−0.0984831 | + | 0.995139i | \(0.531399\pi\) | |||||||
\(464\) | −4.65461 | − | 2.68734i | −0.216085 | − | 0.124757i | ||||
\(465\) | 15.9249 | − | 2.52027i | 0.738501 | − | 0.116875i | ||||
\(466\) | 33.1470 | + | 57.4123i | 1.53551 | + | 2.65957i | ||||
\(467\) | − | 32.7263i | − | 1.51439i | −0.653188 | − | 0.757196i | \(-0.726569\pi\) | ||
0.653188 | − | 0.757196i | \(-0.273431\pi\) | |||||||
\(468\) | 34.0840 | − | 0.992060i | 1.57553 | − | 0.0458580i | ||||
\(469\) | −5.36136 | + | 23.6679i | −0.247565 | + | 1.09288i | ||||
\(470\) | 10.7794 | − | 26.8951i | 0.497214 | − | 1.24058i | ||||
\(471\) | −34.8157 | + | 0.506573i | −1.60423 | + | 0.0233416i | ||||
\(472\) | 0.679840 | − | 1.17752i | 0.0312922 | − | 0.0541996i | ||||
\(473\) | 1.37188 | − | 2.37617i | 0.0630791 | − | 0.109256i | ||||
\(474\) | 18.5612 | − | 0.270068i | 0.852546 | − | 0.0124046i | ||||
\(475\) | 6.34789 | + | 21.6816i | 0.291261 | + | 0.994821i | ||||
\(476\) | −7.54040 | + | 33.2873i | −0.345614 | + | 1.52572i | ||||
\(477\) | 9.64023 | − | 17.8793i | 0.441396 | − | 0.818638i | ||||
\(478\) | 29.6446i | 1.35591i | ||||||||
\(479\) | −5.91624 | − | 10.2472i | −0.270320 | − | 0.468208i | 0.698624 | − | 0.715489i | \(-0.253796\pi\) |
−0.968944 | + | 0.247281i | \(0.920463\pi\) | |||||||
\(480\) | 1.98915 | + | 12.5689i | 0.0907918 | + | 0.573689i | ||||
\(481\) | 18.3964 | + | 10.6211i | 0.838802 | + | 0.484283i | ||||
\(482\) | 37.5558 | + | 21.6829i | 1.71062 | + | 0.987627i | ||||
\(483\) | 11.7826 | + | 36.1127i | 0.536126 | + | 1.64318i | ||||
\(484\) | 17.5648 | + | 30.4231i | 0.798399 | + | 1.38287i | ||||
\(485\) | −9.12620 | + | 7.17115i | −0.414399 | + | 0.325625i | ||||
\(486\) | 36.8462 | − | 2.68513i | 1.67138 | − | 0.121800i | ||||
\(487\) | − | 23.4978i | − | 1.06478i | −0.846498 | − | 0.532392i | \(-0.821293\pi\) | ||
0.846498 | − | 0.532392i | \(-0.178707\pi\) | |||||||
\(488\) | −40.2015 | + | 23.2104i | −1.81984 | + | 1.05068i | ||||
\(489\) | 4.06317 | − | 2.42537i | 0.183743 | − | 0.109679i | ||||
\(490\) | 11.0731 | − | 35.4044i | 0.500231 | − | 1.59941i | ||||
\(491\) | −19.7108 | − | 11.3800i | −0.889535 | − | 0.513573i | −0.0157445 | − | 0.999876i | \(-0.505012\pi\) |
−0.873790 | + | 0.486303i | \(0.838345\pi\) | |||||||
\(492\) | −6.50476 | + | 11.6549i | −0.293257 | + | 0.525445i | ||||
\(493\) | −5.18984 | − | 8.98907i | −0.233739 | − | 0.404847i | ||||
\(494\) | − | 33.6530i | − | 1.51412i | ||||||
\(495\) | −30.0823 | + | 5.21052i | −1.35210 | + | 0.234195i | ||||
\(496\) | 7.68881i | 0.345238i | ||||||||
\(497\) | −22.8381 | + | 7.08552i | −1.02443 | + | 0.317829i | ||||
\(498\) | −0.181571 | − | 12.4790i | −0.00813640 | − | 0.559199i | ||||
\(499\) | −3.25534 | + | 5.63841i | −0.145729 | + | 0.252410i | −0.929645 | − | 0.368457i | \(-0.879886\pi\) |
0.783916 | + | 0.620867i | \(0.213219\pi\) | |||||||
\(500\) | −40.2479 | − | 3.89084i | −1.79994 | − | 0.174004i | ||||
\(501\) | 0.241076 | + | 16.5687i | 0.0107705 | + | 0.740235i | ||||
\(502\) | 1.36278 | + | 2.36040i | 0.0608237 | + | 0.105350i | ||||
\(503\) | 27.9872i | 1.24789i | 0.781469 | + | 0.623944i | \(0.214471\pi\) | ||||
−0.781469 | + | 0.623944i | \(0.785529\pi\) | |||||||
\(504\) | −29.8425 | − | 5.85286i | −1.32929 | − | 0.260707i | ||||
\(505\) | −10.2962 | + | 8.09048i | −0.458173 | + | 0.360021i | ||||
\(506\) | −77.4302 | + | 44.7044i | −3.44219 | + | 1.98735i | ||||
\(507\) | 2.63649 | − | 4.72394i | 0.117091 | − | 0.209798i | ||||
\(508\) | −39.7576 | − | 22.9541i | −1.76396 | − | 1.01842i | ||||
\(509\) | −21.5538 | + | 37.3323i | −0.955356 | + | 1.65473i | −0.221806 | + | 0.975091i | \(0.571195\pi\) |
−0.733550 | + | 0.679635i | \(0.762138\pi\) | |||||||
\(510\) | 11.7365 | − | 30.5635i | 0.519701 | − | 1.35337i | ||||
\(511\) | 4.27871 | + | 13.7912i | 0.189279 | + | 0.610087i | ||||
\(512\) | −20.2214 | −0.893667 | ||||||||
\(513\) | −1.02443 | − | 23.4557i | −0.0452296 | − | 1.03559i | ||||
\(514\) | 23.4375i | 1.03378i | ||||||||
\(515\) | 6.54312 | + | 2.62244i | 0.288324 | + | 0.115558i | ||||
\(516\) | −3.24274 | + | 1.93564i | −0.142754 | + | 0.0852119i | ||||
\(517\) | 12.4420 | − | 21.5502i | 0.547198 | − | 0.947775i | ||||
\(518\) | −31.1156 | − | 28.7766i | −1.36714 | − | 1.26437i | ||||
\(519\) | 19.2864 | + | 10.7640i | 0.846579 | + | 0.472486i | ||||
\(520\) | 24.9920 | + | 10.0166i | 1.09597 | + | 0.439258i | ||||
\(521\) | 10.8972 | 0.477416 | 0.238708 | − | 0.971091i | \(-0.423276\pi\) | ||||
0.238708 | + | 0.971091i | \(0.423276\pi\) | |||||||
\(522\) | 17.6094 | − | 10.8619i | 0.770742 | − | 0.475411i | ||||
\(523\) | 11.8960 | 0.520176 | 0.260088 | − | 0.965585i | \(-0.416248\pi\) | ||||
0.260088 | + | 0.965585i | \(0.416248\pi\) | |||||||
\(524\) | 9.01110 | + | 15.6077i | 0.393652 | + | 0.681825i | ||||
\(525\) | −9.90432 | + | 20.6617i | −0.432260 | + | 0.901749i | ||||
\(526\) | 11.5221 | − | 19.9569i | 0.502388 | − | 0.870162i | ||||
\(527\) | −7.42438 | + | 12.8594i | −0.323411 | + | 0.560165i | ||||
\(528\) | −0.211817 | − | 14.5577i | −0.00921814 | − | 0.633545i | ||||
\(529\) | −22.8561 | − | 39.5879i | −0.993742 | − | 1.72121i | ||||
\(530\) | 28.2134 | − | 22.1694i | 1.22551 | − | 0.962978i | ||||
\(531\) | 0.558913 | + | 0.906117i | 0.0242547 | + | 0.0393221i | ||||
\(532\) | −9.55186 | + | 42.1669i | −0.414126 | + | 1.82817i | ||||
\(533\) | −3.34809 | − | 5.79906i | −0.145022 | − | 0.251185i | ||||
\(534\) | 15.4920 | − | 27.7580i | 0.670407 | − | 1.20120i | ||||
\(535\) | 1.19463 | + | 8.33194i | 0.0516483 | + | 0.360221i | ||||
\(536\) | 30.4346 | + | 17.5714i | 1.31457 | + | 0.758969i | ||||
\(537\) | 16.6231 | − | 9.92256i | 0.717339 | − | 0.428190i | ||||
\(538\) | −18.3614 | − | 31.8029i | −0.791617 | − | 1.37112i | ||||
\(539\) | 13.7289 | − | 28.7483i | 0.591346 | − | 1.23828i | ||||
\(540\) | 39.6506 | + | 13.9164i | 1.70629 | + | 0.598865i | ||||
\(541\) | 37.2097 | 1.59977 | 0.799886 | − | 0.600152i | \(-0.204893\pi\) | ||||
0.799886 | + | 0.600152i | \(0.204893\pi\) | |||||||
\(542\) | −6.80464 | + | 3.92866i | −0.292284 | + | 0.168750i | ||||
\(543\) | −37.4036 | + | 22.3268i | −1.60514 | + | 0.958133i | ||||
\(544\) | −10.1494 | − | 5.85976i | −0.435152 | − | 0.251235i | ||||
\(545\) | −2.72143 | − | 18.9806i | −0.116573 | − | 0.813041i | ||||
\(546\) | 22.8073 | − | 25.3924i | 0.976061 | − | 1.08670i | ||||
\(547\) | −11.9528 | + | 6.90096i | −0.511065 | + | 0.295064i | −0.733271 | − | 0.679936i | \(-0.762008\pi\) |
0.222206 | + | 0.975000i | \(0.428674\pi\) | |||||||
\(548\) | 24.2774 | 1.03708 | ||||||||
\(549\) | −1.05749 | − | 36.3320i | −0.0451326 | − | 1.55061i | ||||
\(550\) | −52.4002 | − | 12.7555i | −2.23435 | − | 0.543898i | ||||
\(551\) | −6.57427 | − | 11.3870i | −0.280073 | − | 0.485101i | ||||
\(552\) | 55.0037 | − | 0.800309i | 2.34111 | − | 0.0340634i | ||||
\(553\) | 8.12372 | − | 8.78404i | 0.345456 | − | 0.373535i | ||||
\(554\) | 65.8355 | + | 38.0101i | 2.79708 | + | 1.61490i | ||||
\(555\) | 16.4721 | + | 20.3464i | 0.699203 | + | 0.863659i | ||||
\(556\) | −9.52659 | + | 5.50018i | −0.404017 | + | 0.233259i | ||||
\(557\) | 32.6100 | 1.38173 | 0.690866 | − | 0.722983i | \(-0.257229\pi\) | ||||
0.690866 | + | 0.722983i | \(0.257229\pi\) | |||||||
\(558\) | −26.0524 | − | 14.0470i | −1.10289 | − | 0.594659i | ||||
\(559\) | − | 1.89464i | − | 0.0801347i | ||||||
\(560\) | −8.99373 | − | 6.20531i | −0.380054 | − | 0.262222i | ||||
\(561\) | 13.7028 | − | 24.5521i | 0.578534 | − | 1.03659i | ||||
\(562\) | −62.7362 | − | 36.2207i | −2.64637 | − | 1.52788i | ||||
\(563\) | −19.1514 | − | 11.0571i | −0.807136 | − | 0.466000i | 0.0388242 | − | 0.999246i | \(-0.487639\pi\) |
−0.845960 | + | 0.533246i | \(0.820972\pi\) | |||||||
\(564\) | −29.4094 | + | 17.5549i | −1.23836 | + | 0.739195i | ||||
\(565\) | −34.5078 | − | 13.8305i | −1.45175 | − | 0.581853i | ||||
\(566\) | −11.3205 | −0.475838 | ||||||||
\(567\) | 15.1234 | − | 18.3925i | 0.635123 | − | 0.772411i | ||||
\(568\) | 34.6280i | 1.45296i | ||||||||
\(569\) | 3.72389 | − | 2.14999i | 0.156114 | − | 0.0901322i | −0.419908 | − | 0.907567i | \(-0.637938\pi\) |
0.576022 | + | 0.817434i | \(0.304604\pi\) | |||||||
\(570\) | 14.8673 | − | 38.7166i | 0.622723 | − | 1.62166i | ||||
\(571\) | 16.1910 | − | 28.0437i | 0.677573 | − | 1.17359i | −0.298136 | − | 0.954523i | \(-0.596365\pi\) |
0.975710 | − | 0.219068i | \(-0.0703017\pi\) | |||||||
\(572\) | 44.7989 | + | 25.8646i | 1.87314 | + | 1.08146i | ||||
\(573\) | −8.15283 | − | 4.55019i | −0.340589 | − | 0.190087i | ||||
\(574\) | 3.95883 | + | 12.7601i | 0.165238 | + | 0.532598i | ||||
\(575\) | 9.80284 | − | 40.2704i | 0.408807 | − | 1.67939i | ||||
\(576\) | 16.3460 | − | 30.3163i | 0.681085 | − | 1.26318i | ||||
\(577\) | 0.0193655 | 0.000806196 | 0.000403098 | − | 1.00000i | \(-0.499872\pi\) | ||||
0.000403098 | 1.00000i | \(0.499872\pi\) | ||||||||
\(578\) | −5.06870 | − | 8.77924i | −0.210830 | − | 0.365168i | ||||
\(579\) | 0.0721134 | + | 4.95622i | 0.00299693 | + | 0.205973i | ||||
\(580\) | 23.2955 | − | 3.34009i | 0.967293 | − | 0.138690i | ||||
\(581\) | −5.90565 | − | 5.46171i | −0.245008 | − | 0.226590i | ||||
\(582\) | 21.3046 | − | 0.309984i | 0.883104 | − | 0.0128493i | ||||
\(583\) | 26.6870 | − | 15.4078i | 1.10526 | − | 0.638124i | ||||
\(584\) | 20.9107 | 0.865291 | ||||||||
\(585\) | −16.1906 | + | 13.5023i | −0.669400 | + | 0.558250i | ||||
\(586\) | 0.877575i | 0.0362523i | ||||||||
\(587\) | 21.1551 | − | 12.2139i | 0.873163 | − | 0.504121i | 0.00476515 | − | 0.999989i | \(-0.498483\pi\) |
0.868398 | + | 0.495868i | \(0.165150\pi\) | |||||||
\(588\) | −35.7845 | + | 25.3430i | −1.47573 | + | 1.04513i | ||||
\(589\) | −9.40490 | + | 16.2898i | −0.387522 | + | 0.671208i | ||||
\(590\) | 0.266912 | + | 1.86158i | 0.0109886 | + | 0.0766401i | ||||
\(591\) | −6.04565 | − | 10.1282i | −0.248685 | − | 0.416617i | ||||
\(592\) | −10.8114 | + | 6.24199i | −0.444348 | + | 0.256544i | ||||
\(593\) | 12.5696i | 0.516173i | 0.966122 | + | 0.258086i | \(0.0830919\pi\) | ||||
−0.966122 | + | 0.258086i | \(0.916908\pi\) | |||||||
\(594\) | 49.7138 | + | 25.8785i | 2.03978 | + | 1.06181i | ||||
\(595\) | −9.04997 | − | 19.0627i | −0.371012 | − | 0.781495i | ||||
\(596\) | 24.9036 | − | 14.3781i | 1.02009 | − | 0.588951i | ||||
\(597\) | 22.5970 | − | 13.4885i | 0.924834 | − | 0.552047i | ||||
\(598\) | −30.8695 | + | 53.4676i | −1.26235 | + | 2.18645i | ||||
\(599\) | −9.70264 | − | 5.60182i | −0.396439 | − | 0.228884i | 0.288507 | − | 0.957478i | \(-0.406841\pi\) |
−0.684946 | + | 0.728593i | \(0.740174\pi\) | |||||||
\(600\) | 24.3272 | + | 22.5648i | 0.993156 | + | 0.921205i | ||||
\(601\) | −10.8009 | + | 6.23591i | −0.440579 | + | 0.254368i | −0.703843 | − | 0.710355i | \(-0.748534\pi\) |
0.263264 | + | 0.964724i | \(0.415201\pi\) | |||||||
\(602\) | −0.835143 | + | 3.68676i | −0.0340379 | + | 0.150261i | ||||
\(603\) | −23.4199 | + | 14.4459i | −0.953730 | + | 0.588282i | ||||
\(604\) | 22.5453 | 0.917354 | ||||||||
\(605\) | −20.1605 | − | 8.08019i | −0.819640 | − | 0.328506i | ||||
\(606\) | 24.0358 | − | 0.349724i | 0.976388 | − | 0.0142065i | ||||
\(607\) | −24.0955 | + | 41.7347i | −0.978008 | + | 1.69396i | −0.308379 | + | 0.951264i | \(0.599787\pi\) |
−0.669629 | + | 0.742696i | \(0.733547\pi\) | |||||||
\(608\) | −12.8568 | − | 7.42290i | −0.521414 | − | 0.301038i | ||||
\(609\) | 2.75663 | − | 13.0474i | 0.111704 | − | 0.528707i | ||||
\(610\) | 23.8863 | − | 59.5975i | 0.967127 | − | 2.41303i | ||||
\(611\) | − | 17.1830i | − | 0.695151i | ||||||
\(612\) | −32.9385 | + | 20.3172i | −1.33146 | + | 0.821273i | ||||
\(613\) | 14.1246i | 0.570485i | 0.958455 | + | 0.285243i | \(0.0920742\pi\) | ||||
−0.958455 | + | 0.285243i | \(0.907926\pi\) | |||||||
\(614\) | 8.23590 | + | 14.2650i | 0.332374 | + | 0.575689i | ||||
\(615\) | −1.28993 | − | 8.15074i | −0.0520151 | − | 0.328669i | ||||
\(616\) | −33.8708 | − | 31.3247i | −1.36469 | − | 1.26211i | ||||
\(617\) | 0.638914 | − | 1.10663i | 0.0257217 | − | 0.0445513i | −0.852878 | − | 0.522110i | \(-0.825145\pi\) |
0.878600 | + | 0.477559i | \(0.158478\pi\) | |||||||
\(618\) | −6.63256 | − | 11.1114i | −0.266801 | − | 0.446966i | ||||
\(619\) | 5.59895 | − | 3.23255i | 0.225041 | − | 0.129927i | −0.383241 | − | 0.923648i | \(-0.625192\pi\) |
0.608282 | + | 0.793721i | \(0.291859\pi\) | |||||||
\(620\) | −20.8009 | − | 26.4718i | −0.835383 | − | 1.06313i | ||||
\(621\) | −19.8881 | + | 38.2059i | −0.798080 | + | 1.53315i | ||||
\(622\) | 58.0445 | 2.32737 | ||||||||
\(623\) | −6.07120 | − | 19.5688i | −0.243237 | − | 0.784006i | ||||
\(624\) | −5.15292 | − | 8.63259i | −0.206282 | − | 0.345580i | ||||
\(625\) | 21.0524 | − | 13.4831i | 0.842098 | − | 0.539325i | ||||
\(626\) | −3.95838 | + | 6.85611i | −0.158209 | + | 0.274025i | ||||
\(627\) | 17.3582 | − | 31.1016i | 0.693218 | − | 1.24208i | ||||
\(628\) | 36.3530 | + | 62.9652i | 1.45064 | + | 2.51258i | ||||
\(629\) | −24.1093 | −0.961300 | ||||||||
\(630\) | 37.4569 | − | 19.1372i | 1.49232 | − | 0.762445i | ||||
\(631\) | −22.8379 | −0.909162 | −0.454581 | − | 0.890705i | \(-0.650211\pi\) | ||||
−0.454581 | + | 0.890705i | \(0.650211\pi\) | |||||||
\(632\) | −8.66330 | − | 15.0053i | −0.344607 | − | 0.596878i | ||||
\(633\) | 20.9678 | − | 0.305084i | 0.833396 | − | 0.0121260i | ||||
\(634\) | 16.6652 | − | 28.8649i | 0.661858 | − | 1.14637i | ||||
\(635\) | 28.0962 | − | 4.02841i | 1.11496 | − | 0.159863i | ||||
\(636\) | −42.4100 | + | 0.617071i | −1.68167 | + | 0.0244684i | ||||
\(637\) | −1.71567 | − | 21.9319i | −0.0679773 | − | 0.868975i | ||||
\(638\) | 31.3878 | 1.24265 | ||||||||
\(639\) | −23.8656 | − | 12.8679i | −0.944109 | − | 0.509048i | ||||
\(640\) | 36.2851 | − | 28.5119i | 1.43429 | − | 1.12703i | ||||
\(641\) | −5.73665 | + | 3.31206i | −0.226584 | + | 0.130818i | −0.608995 | − | 0.793174i | \(-0.708427\pi\) |
0.382411 | + | 0.923992i | \(0.375094\pi\) | |||||||
\(642\) | 7.53041 | − | 13.4927i | 0.297202 | − | 0.532513i | ||||
\(643\) | −9.14217 | + | 15.8347i | −0.360532 | + | 0.624460i | −0.988048 | − | 0.154143i | \(-0.950738\pi\) |
0.627516 | + | 0.778603i | \(0.284072\pi\) | |||||||
\(644\) | 53.8552 | − | 58.2326i | 2.12219 | − | 2.29469i | ||||
\(645\) | 0.837018 | − | 2.17971i | 0.0329576 | − | 0.0858261i | ||||
\(646\) | 19.0975 | + | 33.0778i | 0.751381 | + | 1.30143i | ||||
\(647\) | 0.838413i | 0.0329614i | 0.999864 | + | 0.0164807i | \(0.00524621\pi\) | ||||
−0.999864 | + | 0.0164807i | \(0.994754\pi\) | |||||||
\(648\) | −18.9492 | − | 28.8096i | −0.744393 | − | 1.13175i | ||||
\(649\) | 1.61510i | 0.0633983i | ||||||||
\(650\) | −35.7400 | + | 10.4639i | −1.40184 | + | 0.410427i | ||||
\(651\) | −18.1362 | + | 5.91735i | −0.710814 | + | 0.231919i | ||||
\(652\) | −8.55703 | − | 4.94040i | −0.335119 | − | 0.193481i | ||||
\(653\) | −16.1927 | + | 28.0466i | −0.633670 | + | 1.09755i | 0.353125 | + | 0.935576i | \(0.385119\pi\) |
−0.986795 | + | 0.161973i | \(0.948214\pi\) | |||||||
\(654\) | −17.1547 | + | 30.7370i | −0.670802 | + | 1.20191i | ||||
\(655\) | −10.3428 | − | 4.14531i | −0.404125 | − | 0.161971i | ||||
\(656\) | 3.93531 | 0.153648 | ||||||||
\(657\) | −7.77053 | + | 14.4117i | −0.303157 | + | 0.562253i | ||||
\(658\) | −7.57415 | + | 33.4363i | −0.295271 | + | 1.30348i | ||||
\(659\) | −26.2565 | + | 15.1592i | −1.02281 | + | 0.590519i | −0.914916 | − | 0.403644i | \(-0.867743\pi\) |
−0.107892 | + | 0.994163i | \(0.534410\pi\) | |||||||
\(660\) | 40.1130 | + | 49.5477i | 1.56139 | + | 1.92864i | ||||
\(661\) | −6.18304 | − | 3.56978i | −0.240492 | − | 0.138848i | 0.374911 | − | 0.927061i | \(-0.377673\pi\) |
−0.615403 | + | 0.788213i | \(0.711007\pi\) | |||||||
\(662\) | −13.3852 | + | 23.1838i | −0.520229 | + | 0.901062i | ||||
\(663\) | −0.282469 | − | 19.4136i | −0.0109702 | − | 0.753960i | ||||
\(664\) | −10.0883 | + | 5.82448i | −0.391502 | + | 0.226034i | ||||
\(665\) | −11.4641 | − | 24.1478i | −0.444559 | − | 0.936413i | ||||
\(666\) | −1.39818 | − | 48.0368i | −0.0541783 | − | 1.86139i | ||||
\(667\) | 24.1220i | 0.934009i | ||||||||
\(668\) | 29.9649 | − | 17.3002i | 1.15938 | − | 0.669367i | ||||
\(669\) | −8.99375 | + | 16.1146i | −0.347718 | + | 0.623026i | ||||
\(670\) | −48.1152 | + | 6.89872i | −1.85885 | + | 0.266521i | ||||
\(671\) | 27.5706 | − | 47.7536i | 1.06435 | − | 1.84351i | ||||
\(672\) | −4.67032 | − | 14.3142i | −0.180162 | − | 0.552181i | ||||
\(673\) | −23.8543 | + | 13.7723i | −0.919516 | + | 0.530883i | −0.883480 | − | 0.468468i | \(-0.844806\pi\) |
−0.0360351 | + | 0.999351i | \(0.511473\pi\) | |||||||
\(674\) | 13.4514i | 0.518129i | ||||||||
\(675\) | −24.5918 | + | 8.38114i | −0.946539 | + | 0.322590i | ||||
\(676\) | −11.2963 | −0.434472 | ||||||||
\(677\) | 16.0082 | − | 9.24235i | 0.615246 | − | 0.355213i | −0.159770 | − | 0.987154i | \(-0.551075\pi\) |
0.775016 | + | 0.631942i | \(0.217742\pi\) | |||||||
\(678\) | 34.9795 | + | 58.6005i | 1.34338 | + | 2.25054i | ||||
\(679\) | 9.32441 | − | 10.0823i | 0.357838 | − | 0.386924i | ||||
\(680\) | −30.2491 | + | 4.33710i | −1.16000 | + | 0.166320i | ||||
\(681\) | −32.3799 | − | 18.0716i | −1.24080 | − | 0.692505i | ||||
\(682\) | −22.4511 | − | 38.8864i | −0.859696 | − | 1.48904i | ||||
\(683\) | −0.722251 | −0.0276362 | −0.0138181 | − | 0.999905i | \(-0.504399\pi\) | ||||
−0.0138181 | + | 0.999905i | \(0.504399\pi\) | |||||||
\(684\) | −41.7251 | + | 25.7369i | −1.59540 | + | 0.984076i | ||||
\(685\) | −11.8022 | + | 9.27391i | −0.450940 | + | 0.354338i | ||||
\(686\) | −6.32894 | + | 43.4334i | −0.241640 | + | 1.65830i | ||||
\(687\) | 0.456013 | + | 31.3409i | 0.0173980 | + | 1.19573i | ||||
\(688\) | 0.964292 | + | 0.556734i | 0.0367633 | + | 0.0212253i | ||||
\(689\) | 10.6395 | − | 18.4281i | 0.405331 | − | 0.702054i | ||||
\(690\) | −59.1353 | + | 47.8749i | −2.25124 | + | 1.82257i | ||||
\(691\) | 38.8386 | − | 22.4235i | 1.47749 | − | 0.853030i | 0.477815 | − | 0.878461i | \(-0.341429\pi\) |
0.999677 | + | 0.0254304i | \(0.00809561\pi\) | |||||||
\(692\) | − | 46.1192i | − | 1.75319i | ||||||
\(693\) | 34.1755 | − | 11.7033i | 1.29822 | − | 0.444573i | ||||
\(694\) | −25.0099 | −0.949363 | ||||||||
\(695\) | 2.53020 | − | 6.31299i | 0.0959761 | − | 0.239465i | ||||
\(696\) | −16.8630 | − | 9.41146i | −0.639192 | − | 0.356740i | ||||
\(697\) | 6.58173 | + | 3.79997i | 0.249301 | + | 0.143934i | ||||
\(698\) | −47.2346 | − | 27.2709i | −1.78786 | − | 1.03222i | ||||
\(699\) | 24.8330 | + | 41.6022i | 0.939270 | + | 1.57354i | ||||
\(700\) | 47.7519 | − | 2.96692i | 1.80485 | − | 0.112139i | ||||
\(701\) | 17.1428i | 0.647475i | 0.946147 | + | 0.323738i | \(0.104940\pi\) | ||||
−0.946147 | + | 0.323738i | \(0.895060\pi\) | |||||||
\(702\) | 38.6644 | − | 1.68867i | 1.45929 | − | 0.0637346i | ||||
\(703\) | −30.5406 | −1.15186 | ||||||||
\(704\) | 45.2507 | − | 26.1255i | 1.70545 | − | 0.984642i | ||||
\(705\) | 7.59116 | − | 19.7685i | 0.285900 | − | 0.744523i | ||||
\(706\) | 12.6618 | + | 7.31027i | 0.476532 | + | 0.275126i | ||||
\(707\) | 10.5198 | − | 11.3749i | 0.395637 | − | 0.427796i | ||||
\(708\) | 1.08339 | − | 1.94117i | 0.0407163 | − | 0.0729536i | ||||
\(709\) | 16.8752 | + | 29.2287i | 0.633761 | + | 1.09771i | 0.986776 | + | 0.162088i | \(0.0518229\pi\) |
−0.353016 | + | 0.935617i | \(0.614844\pi\) | |||||||
\(710\) | −29.5921 | − | 37.6597i | −1.11057 | − | 1.41334i | ||||
\(711\) | 13.5610 | − | 0.394710i | 0.508576 | − | 0.0148028i | ||||
\(712\) | −29.6709 | −1.11196 | ||||||||
\(713\) | 29.8848 | − | 17.2540i | 1.11920 | − | 0.646168i | ||||
\(714\) | −8.00770 | + | 37.9012i | −0.299681 | + | 1.41842i | ||||
\(715\) | −31.6588 | + | 4.53922i | −1.18397 | + | 0.169757i | ||||
\(716\) | −35.0081 | − | 20.2120i | −1.30832 | − | 0.755356i | ||||
\(717\) | 0.315201 | + | 21.6631i | 0.0117714 | + | 0.809025i | ||||
\(718\) | 75.8912 | − | 43.8158i | 2.83223 | − | 1.63519i | ||||
\(719\) | 25.6400 | 0.956210 | 0.478105 | − | 0.878303i | \(-0.341324\pi\) | ||||
0.478105 | + | 0.878303i | \(0.341324\pi\) | |||||||
\(720\) | −2.11452 | − | 12.2080i | −0.0788036 | − | 0.454964i | ||||
\(721\) | −8.13450 | − | 1.84267i | −0.302945 | − | 0.0686245i | ||||
\(722\) | 1.67738 | + | 2.90530i | 0.0624256 | + | 0.108124i | ||||
\(723\) | 27.6749 | + | 15.4457i | 1.02924 | + | 0.574430i | ||||
\(724\) | 78.7719 | + | 45.4790i | 2.92753 | + | 1.69021i | ||||
\(725\) | −10.0490 | + | 10.5226i | −0.373210 | + | 0.390799i | ||||
\(726\) | 20.4361 | + | 34.2361i | 0.758453 | + | 1.27062i | ||||
\(727\) | 16.7146 | + | 28.9505i | 0.619909 | + | 1.07371i | 0.989502 | + | 0.144520i | \(0.0461639\pi\) |
−0.369593 | + | 0.929194i | \(0.620503\pi\) | |||||||
\(728\) | −31.0704 | − | 7.03822i | −1.15155 | − | 0.260854i | ||||
\(729\) | 26.8972 | − | 2.35396i | 0.996192 | − | 0.0871836i | ||||
\(730\) | −22.7415 | + | 17.8697i | −0.841699 | + | 0.661387i | ||||
\(731\) | 1.07517 | + | 1.86226i | 0.0397668 | + | 0.0688781i | ||||
\(732\) | −65.1691 | + | 38.9004i | −2.40872 | + | 1.43780i | ||||
\(733\) | 1.50503 | − | 2.60678i | 0.0555895 | − | 0.0962838i | −0.836892 | − | 0.547369i | \(-0.815630\pi\) |
0.892481 | + | 0.451085i | \(0.148963\pi\) | |||||||
\(734\) | −41.4590 | + | 71.8091i | −1.53028 | + | 2.65052i | ||||
\(735\) | 7.71534 | − | 25.9899i | 0.284584 | − | 0.958651i | ||||
\(736\) | 13.6179 | + | 23.5869i | 0.501962 | + | 0.869424i | ||||
\(737\) | −41.7446 | −1.53768 | ||||||||
\(738\) | −7.18959 | + | 13.3342i | −0.264653 | + | 0.490840i | ||||
\(739\) | −22.0395 | −0.810736 | −0.405368 | − | 0.914154i | \(-0.632857\pi\) | ||||
−0.405368 | + | 0.914154i | \(0.632857\pi\) | |||||||
\(740\) | 20.3359 | − | 50.7392i | 0.747563 | − | 1.86521i | ||||
\(741\) | −0.357820 | − | 24.5923i | −0.0131449 | − | 0.903420i | ||||
\(742\) | −28.8262 | + | 31.1692i | −1.05824 | + | 1.14426i | ||||
\(743\) | 0.572162 | − | 0.991014i | 0.0209906 | − | 0.0363568i | −0.855339 | − | 0.518068i | \(-0.826651\pi\) |
0.876330 | + | 0.481711i | \(0.159985\pi\) | |||||||
\(744\) | 0.401925 | + | 27.6235i | 0.0147353 | + | 1.01273i | ||||
\(745\) | −6.61425 | + | 16.5029i | −0.242328 | + | 0.604620i | ||||
\(746\) | − | 59.8033i | − | 2.18956i | ||||||
\(747\) | −0.265370 | − | 9.11725i | −0.00970938 | − | 0.333583i | ||||
\(748\) | −58.7110 | −2.14669 | ||||||||
\(749\) | −2.95110 | − | 9.51203i | −0.107831 | − | 0.347562i | ||||
\(750\) | −45.7404 | − | 3.75100i | −1.67020 | − | 0.136967i | ||||
\(751\) | 20.9700 | − | 36.3210i | 0.765205 | − | 1.32537i | −0.174934 | − | 0.984580i | \(-0.555971\pi\) |
0.940138 | − | 0.340793i | \(-0.110696\pi\) | |||||||
\(752\) | 8.74545 | + | 5.04919i | 0.318914 | + | 0.184125i | ||||
\(753\) | 1.02096 | + | 1.71040i | 0.0372059 | + | 0.0623304i | ||||
\(754\) | 18.7703 | − | 10.8370i | 0.683574 | − | 0.394662i | ||||
\(755\) | −10.9602 | + | 8.61224i | −0.398881 | + | 0.313432i | ||||
\(756\) | −48.9255 | − | 8.85838i | −1.77940 | − | 0.322176i | ||||
\(757\) | 39.9781i | 1.45303i | 0.687152 | + | 0.726514i | \(0.258861\pi\) | ||||
−0.687152 | + | 0.726514i | \(0.741139\pi\) | |||||||
\(758\) | −7.66720 | − | 13.2800i | −0.278485 | − | 0.482351i | ||||
\(759\) | −56.1077 | + | 33.4915i | −2.03658 | + | 1.21566i | ||||
\(760\) | −38.3184 | + | 5.49406i | −1.38995 | + | 0.199291i | ||||
\(761\) | 13.6098 | − | 23.5728i | 0.493354 | − | 0.854515i | −0.506616 | − | 0.862172i | \(-0.669104\pi\) |
0.999971 | + | 0.00765692i | \(0.00243730\pi\) | |||||||
\(762\) | −45.4987 | − | 25.3933i | −1.64824 | − | 0.919904i | ||||
\(763\) | 6.72278 | + | 21.6689i | 0.243381 | + | 0.784468i | ||||
\(764\) | 19.4957i | 0.705329i | ||||||||
\(765\) | 8.25160 | − | 22.4594i | 0.298337 | − | 0.812021i | ||||
\(766\) | − | 69.0561i | − | 2.49510i | ||||||
\(767\) | 0.557635 | + | 0.965853i | 0.0201350 | + | 0.0348749i | ||||
\(768\) | −44.9392 | + | 0.653870i | −1.62160 | + | 0.0235945i | ||||
\(769\) | −43.4891 | − | 25.1085i | −1.56826 | − | 0.905434i | −0.996372 | − | 0.0851006i | \(-0.972879\pi\) |
−0.571885 | − | 0.820333i | \(-0.693788\pi\) | |||||||
\(770\) | 63.6054 | + | 5.12214i | 2.29218 | + | 0.184589i | ||||
\(771\) | 0.249203 | + | 17.1272i | 0.00897482 | + | 0.616822i | ||||
\(772\) | 8.96344 | − | 5.17505i | 0.322601 | − | 0.186254i | ||||
\(773\) | 10.2624i | 0.369113i | 0.982822 | + | 0.184557i | \(0.0590849\pi\) | ||||
−0.982822 | + | 0.184557i | \(0.940915\pi\) | |||||||
\(774\) | −3.64812 | + | 2.25024i | −0.131129 | + | 0.0808833i | ||||
\(775\) | 20.2243 | + | 4.92310i | 0.726478 | + | 0.176843i | ||||
\(776\) | −9.94374 | − | 17.2231i | −0.356959 | − | 0.618272i | ||||
\(777\) | −23.0440 | − | 20.6980i | −0.826700 | − | 0.742535i | ||||
\(778\) | −10.7669 | − | 6.21630i | −0.386014 | − | 0.222865i | ||||
\(779\) | 8.33747 | + | 4.81364i | 0.298721 | + | 0.172466i | ||||
\(780\) | 41.0951 | + | 15.7807i | 1.47144 | + | 0.565038i | ||||
\(781\) | −20.5665 | − | 35.6223i | −0.735928 | − | 1.27467i | ||||
\(782\) | − | 70.0717i | − | 2.50576i | ||||||
\(783\) | 12.7528 | − | 8.12466i | 0.455747 | − | 0.290352i | ||||
\(784\) | 11.6666 | + | 5.57144i | 0.416664 | + | 0.198980i | ||||
\(785\) | −41.7252 | − | 16.7232i | −1.48924 | − | 0.596875i | ||||
\(786\) | 10.4841 | + | 17.5639i | 0.373957 | + | 0.626483i | ||||
\(787\) | −16.9787 | + | 29.4080i | −0.605225 | + | 1.04828i | 0.386791 | + | 0.922167i | \(0.373583\pi\) |
−0.992016 | + | 0.126113i | \(0.959750\pi\) | |||||||
\(788\) | −12.3148 | + | 21.3299i | −0.438697 | + | 0.759846i | ||||
\(789\) | 8.20772 | − | 14.7062i | 0.292202 | − | 0.523556i | ||||
\(790\) | 22.2449 | + | 8.91559i | 0.791436 | + | 0.317202i | ||||
\(791\) | 42.9006 | + | 9.71805i | 1.52537 | + | 0.345534i | ||||
\(792\) | −1.52198 | − | 52.2904i | −0.0540813 | − | 1.85806i | ||||
\(793\) | − | 38.0764i | − | 1.35213i | ||||||
\(794\) | 8.01478 | + | 13.8820i | 0.284434 | + | 0.492654i | ||||
\(795\) | 20.3815 | − | 16.5005i | 0.722858 | − | 0.585213i | ||||
\(796\) | −47.5892 | − | 27.4757i | −1.68676 | − | 0.973849i | ||||
\(797\) | −25.2017 | − | 14.5502i | −0.892690 | − | 0.515395i | −0.0178684 | − | 0.999840i | \(-0.505688\pi\) |
−0.874821 | + | 0.484446i | \(0.839021\pi\) | |||||||
\(798\) | −10.1438 | + | 48.0116i | −0.359087 | + | 1.69959i | ||||
\(799\) | 9.75108 | + | 16.8894i | 0.344968 | + | 0.597503i | ||||
\(800\) | −3.88560 | + | 15.9622i | −0.137377 | + | 0.564349i | ||||
\(801\) | 11.0258 | − | 20.4492i | 0.389579 | − | 0.722536i | ||||
\(802\) | − | 75.8768i | − | 2.67930i | ||||||
\(803\) | −21.5111 | + | 12.4195i | −0.759111 | + | 0.438273i | ||||
\(804\) | 50.1722 | + | 28.0017i | 1.76944 | + | 0.987544i | ||||
\(805\) | −3.93645 | + | 48.8818i | −0.138742 | + | 1.72286i | ||||
\(806\) | −26.8521 | − | 15.5030i | −0.945824 | − | 0.546072i | ||||
\(807\) | −13.7560 | − | 23.0451i | −0.484233 | − | 0.811226i | ||||
\(808\) | −11.2185 | − | 19.4310i | −0.394666 | − | 0.683581i | ||||
\(809\) | − | 1.20401i | − | 0.0423306i | −0.999776 | − | 0.0211653i | \(-0.993262\pi\) | ||
0.999776 | − | 0.0211653i | \(-0.00673762\pi\) | |||||||
\(810\) | 45.2280 | + | 15.1385i | 1.58915 | + | 0.531913i | ||||
\(811\) | 55.5735i | 1.95145i | 0.219001 | + | 0.975725i | \(0.429720\pi\) | ||||
−0.219001 | + | 0.975725i | \(0.570280\pi\) | |||||||
\(812\) | −26.5949 | + | 8.25107i | −0.933300 | + | 0.289556i | ||||
\(813\) | −4.93079 | + | 2.94326i | −0.172930 | + | 0.103225i | ||||
\(814\) | 36.4528 | − | 63.1381i | 1.27767 | − | 2.21299i | ||||
\(815\) | 6.04714 | − | 0.867035i | 0.211822 | − | 0.0303709i | ||||
\(816\) | 9.96370 | + | 5.56086i | 0.348799 | + | 0.194669i | ||||
\(817\) | 1.36199 | + | 2.35903i | 0.0476499 | + | 0.0825320i | ||||
\(818\) | 10.9208i | 0.381835i | ||||||||
\(819\) | 16.3967 | − | 18.7983i | 0.572946 | − | 0.656865i | ||||
\(820\) | −13.5488 | + | 10.6464i | −0.473146 | + | 0.371787i | ||||
\(821\) | −29.5065 | + | 17.0356i | −1.02978 | + | 0.594546i | −0.916923 | − | 0.399065i | \(-0.869335\pi\) |
−0.112861 | + | 0.993611i | \(0.536001\pi\) | |||||||
\(822\) | 27.5516 | − | 0.400879i | 0.960974 | − | 0.0139823i | ||||
\(823\) | −19.7088 | − | 11.3789i | −0.687006 | − | 0.396643i | 0.115483 | − | 0.993309i | \(-0.463158\pi\) |
−0.802490 | + | 0.596666i | \(0.796492\pi\) | |||||||
\(824\) | −6.03918 | + | 10.4602i | −0.210385 | + | 0.364397i | ||||
\(825\) | −38.4276 | − | 8.76409i | −1.33788 | − | 0.305127i | ||||
\(826\) | −0.659356 | − | 2.12524i | −0.0229419 | − | 0.0739467i | ||||
\(827\) | 14.8298 | 0.515683 | 0.257842 | − | 0.966187i | \(-0.416989\pi\) | ||||
0.257842 | + | 0.966187i | \(0.416989\pi\) | |||||||
\(828\) | 89.9006 | − | 2.61668i | 3.12426 | − | 0.0909359i | ||||
\(829\) | 27.7823i | 0.964920i | 0.875918 | + | 0.482460i | \(0.160257\pi\) | ||||
−0.875918 | + | 0.482460i | \(0.839743\pi\) | |||||||
\(830\) | 5.99409 | − | 14.9556i | 0.208058 | − | 0.519116i | ||||
\(831\) | 48.5141 | + | 27.0763i | 1.68294 | + | 0.939267i | ||||
\(832\) | 18.0403 | − | 31.2468i | 0.625436 | − | 1.08329i | ||||
\(833\) | 14.1324 | + | 20.5835i | 0.489657 | + | 0.713176i | ||||
\(834\) | −10.7206 | + | 6.39928i | −0.371224 | + | 0.221589i | ||||
\(835\) | −7.95850 | + | 19.8569i | −0.275415 | + | 0.687175i | ||||
\(836\) | −74.3726 | −2.57223 | ||||||||
\(837\) | −19.1875 | − | 9.98802i | −0.663216 | − | 0.345237i | ||||
\(838\) | 32.5551 | 1.12460 | ||||||||
\(839\) | −0.334673 | − | 0.579671i | −0.0115542 | − | 0.0200125i | 0.860190 | − | 0.509973i | \(-0.170345\pi\) |
−0.871745 | + | 0.489960i | \(0.837011\pi\) | |||||||
\(840\) | −32.6360 | − | 21.8236i | −1.12605 | − | 0.752985i | ||||
\(841\) | −10.2659 | + | 17.7810i | −0.353995 | + | 0.613138i | ||||
\(842\) | −25.2294 | + | 43.6986i | −0.869463 | + | 1.50595i | ||||
\(843\) | −46.2303 | − | 25.8016i | −1.59225 | − | 0.888656i | ||||
\(844\) | −21.8936 | − | 37.9208i | −0.753609 | − | 1.30529i | ||||
\(845\) | 5.49157 | − | 4.31515i | 0.188916 | − | 0.148446i | ||||
\(846\) | −33.0859 | + | 20.4081i | −1.13752 | + | 0.701646i | ||||
\(847\) | 25.0638 | + | 5.67757i | 0.861202 | + | 0.195084i | ||||
\(848\) | 6.25275 | + | 10.8301i | 0.214720 | + | 0.371906i | ||||
\(849\) | −8.27260 | + | 0.120367i | −0.283915 | + | 0.00413099i | ||||
\(850\) | 29.1911 | − | 30.5669i | 1.00125 | − | 1.04844i | ||||
\(851\) | 48.5227 | + | 28.0146i | 1.66334 | + | 0.960328i | ||||
\(852\) | 0.823676 | + | 56.6096i | 0.0282187 | + | 1.93941i | ||||
\(853\) | 16.9962 | + | 29.4383i | 0.581938 | + | 1.00795i | 0.995250 | + | 0.0973569i | \(0.0310388\pi\) |
−0.413311 | + | 0.910590i | \(0.635628\pi\) | |||||||
\(854\) | −16.7838 | + | 74.0924i | −0.574329 | + | 2.53539i | ||||
\(855\) | 10.4528 | − | 28.4506i | 0.357478 | − | 0.972991i | ||||
\(856\) | −14.4225 | −0.492950 | ||||||||
\(857\) | −37.3748 | + | 21.5783i | −1.27670 | + | 0.737102i | −0.976240 | − | 0.216693i | \(-0.930473\pi\) |
−0.300458 | + | 0.953795i | \(0.597140\pi\) | |||||||
\(858\) | 51.2679 | + | 28.6132i | 1.75026 | + | 0.976839i | ||||
\(859\) | 3.33242 | + | 1.92398i | 0.113701 | + | 0.0656452i | 0.555772 | − | 0.831335i | \(-0.312423\pi\) |
−0.442071 | + | 0.896980i | \(0.645756\pi\) | |||||||
\(860\) | −4.82611 | + | 0.691965i | −0.164569 | + | 0.0235958i | ||||
\(861\) | 3.02863 | + | 9.28252i | 0.103216 | + | 0.316348i | ||||
\(862\) | 14.3526 | − | 8.28646i | 0.488850 | − | 0.282238i | ||||
\(863\) | 3.54334 | 0.120617 | 0.0603084 | − | 0.998180i | \(-0.480792\pi\) | ||||
0.0603084 | + | 0.998180i | \(0.480792\pi\) | |||||||
\(864\) | 7.88313 | − | 15.1439i | 0.268190 | − | 0.515205i | ||||
\(865\) | 17.6174 | + | 22.4204i | 0.599010 | + | 0.762316i | ||||
\(866\) | −19.3357 | − | 33.4904i | −0.657053 | − | 1.13805i | ||||
\(867\) | −3.79735 | − | 6.36163i | −0.128965 | − | 0.216052i | ||||
\(868\) | 29.2451 | + | 27.0467i | 0.992644 | + | 0.918025i | ||||
\(869\) | 17.8241 | + | 10.2907i | 0.604641 | + | 0.349090i | ||||
\(870\) | 26.3822 | − | 4.17523i | 0.894439 | − | 0.141554i | ||||
\(871\) | −24.9638 | + | 14.4129i | −0.845866 | + | 0.488361i | ||||
\(872\) | 32.8552 | 1.11262 | ||||||||
\(873\) | 15.5653 | − | 0.453049i | 0.526805 | − | 0.0153334i | ||||
\(874\) | − | 88.7639i | − | 3.00248i | ||||||
\(875\) | −22.0808 | + | 19.6835i | −0.746467 | + | 0.665423i | ||||
\(876\) | 34.1847 | − | 0.497391i | 1.15499 | − | 0.0168053i | ||||
\(877\) | 12.5976 | + | 7.27323i | 0.425391 | + | 0.245599i | 0.697381 | − | 0.716701i | \(-0.254349\pi\) |
−0.271990 | + | 0.962300i | \(0.587682\pi\) | |||||||
\(878\) | 1.41609 | + | 0.817578i | 0.0477906 | + | 0.0275919i | ||||
\(879\) | 0.00933094 | + | 0.641297i | 0.000314725 | + | 0.0216304i | ||||
\(880\) | 6.99257 | − | 17.4468i | 0.235720 | − | 0.588133i | ||||
\(881\) | 13.1082 | 0.441626 | 0.220813 | − | 0.975316i | \(-0.429129\pi\) | ||||
0.220813 | + | 0.975316i | \(0.429129\pi\) | |||||||
\(882\) | −40.1923 | + | 29.3519i | −1.35334 | + | 0.988329i | ||||
\(883\) | − | 30.7614i | − | 1.03520i | −0.855621 | − | 0.517602i | \(-0.826825\pi\) | ||
0.855621 | − | 0.517602i | \(-0.173175\pi\) | |||||||
\(884\) | −35.1099 | + | 20.2707i | −1.18087 | + | 0.681778i | ||||
\(885\) | 0.214843 | + | 1.35753i | 0.00722185 | + | 0.0456330i | ||||
\(886\) | −36.6101 | + | 63.4106i | −1.22994 | + | 2.13032i | ||||
\(887\) | 3.06659 | + | 1.77049i | 0.102966 | + | 0.0594474i | 0.550599 | − | 0.834770i | \(-0.314399\pi\) |
−0.447633 | + | 0.894217i | \(0.647733\pi\) | |||||||
\(888\) | −38.5158 | + | 22.9907i | −1.29251 | + | 0.771516i | ||||
\(889\) | −32.0756 | + | 9.95143i | −1.07578 | + | 0.333760i | ||||
\(890\) | 32.2686 | − | 25.3559i | 1.08164 | − | 0.849931i | ||||
\(891\) | 36.6041 | + | 18.3824i | 1.22628 | + | 0.615834i | ||||
\(892\) | 38.5345 | 1.29023 | ||||||||
\(893\) | 12.3523 | + | 21.3947i | 0.413352 | + | 0.715947i | ||||
\(894\) | 28.0249 | − | 16.7285i | 0.937293 | − | 0.559484i | ||||
\(895\) | 24.7398 | − | 3.54718i | 0.826960 | − | 0.118569i | ||||
\(896\) | −37.0732 | + | 40.0866i | −1.23853 | + | 1.33920i | ||||
\(897\) | −21.9897 | + | 39.4003i | −0.734216 | + | 1.31554i | ||||
\(898\) | −33.2009 | + | 19.1685i | −1.10793 | + | 0.639662i | ||||
\(899\) | −12.1144 | −0.404037 | ||||||||
\(900\) | 40.3068 | + | 36.3102i | 1.34356 | + | 1.21034i | ||||
\(901\) | 24.1508i | 0.804581i | ||||||||
\(902\) | −19.9029 | + | 11.4910i | −0.662695 | + | 0.382607i | ||||
\(903\) | −0.571090 | + | 2.70302i | −0.0190047 | + | 0.0899508i | ||||
\(904\) | 31.8501 | − | 55.1659i | 1.05932 | − | 1.83479i | ||||
\(905\) | −55.6670 | + | 7.98150i | −1.85043 | + | 0.265314i | ||||
\(906\) | 25.5859 | − | 0.372278i | 0.850035 | − | 0.0123681i | ||||
\(907\) | −15.5964 | + | 9.00457i | −0.517869 | + | 0.298992i | −0.736062 | − | 0.676914i | \(-0.763317\pi\) |
0.218193 | + | 0.975906i | \(0.429984\pi\) | |||||||
\(908\) | 77.4294i | 2.56958i | ||||||||
\(909\) | 17.5607 | − | 0.511129i | 0.582452 | − | 0.0169531i | ||||
\(910\) | 39.8053 | − | 18.8975i | 1.31953 | − | 0.626445i | ||||
\(911\) | 25.7284 | − | 14.8543i | 0.852421 | − | 0.492146i | −0.00904566 | − | 0.999959i | \(-0.502879\pi\) |
0.861467 | + | 0.507813i | \(0.169546\pi\) | |||||||
\(912\) | 12.6216 | + | 7.04426i | 0.417943 | + | 0.233259i | ||||
\(913\) | 6.91864 | − | 11.9834i | 0.228974 | − | 0.396594i | ||||
\(914\) | 12.2626 | + | 7.07980i | 0.405610 | + | 0.234179i | ||||
\(915\) | 16.8215 | − | 43.8055i | 0.556101 | − | 1.44816i | ||||
\(916\) | 56.6808 | − | 32.7247i | 1.87278 | − | 1.08125i | ||||
\(917\) | 12.8583 | + | 2.91272i | 0.424617 | + | 0.0961864i | ||||
\(918\) | −37.0453 | + | 23.6012i | −1.22268 | + | 0.778956i | ||||
\(919\) | 49.2447 | 1.62443 | 0.812217 | − | 0.583356i | \(-0.198261\pi\) | ||||
0.812217 | + | 0.583356i | \(0.198261\pi\) | |||||||
\(920\) | 65.9195 | + | 26.4201i | 2.17330 | + | 0.871045i | ||||
\(921\) | 6.17015 | + | 10.3367i | 0.203313 | + | 0.340607i | ||||
\(922\) | 47.2182 | − | 81.7843i | 1.55505 | − | 2.69342i | ||||
\(923\) | −24.5981 | − | 14.2017i | −0.809657 | − | 0.467455i | ||||
\(924\) | −56.1169 | − | 50.4037i | −1.84611 | − | 1.65816i | ||||
\(925\) | 9.49613 | + | 32.4346i | 0.312231 | + | 1.06644i | ||||
\(926\) | − | 42.0487i | − | 1.38181i | ||||||
\(927\) | −4.96496 | − | 8.04926i | −0.163071 | − | 0.264372i | ||||
\(928\) | − | 9.56137i | − | 0.313867i | ||||||
\(929\) | 17.6061 | + | 30.4947i | 0.577638 | + | 1.00050i | 0.995750 | + | 0.0921021i | \(0.0293586\pi\) |
−0.418112 | + | 0.908395i | \(0.637308\pi\) | |||||||
\(930\) | −24.0434 | − | 29.6985i | −0.788413 | − | 0.973851i | ||||
\(931\) | 17.9023 | + | 26.0743i | 0.586723 | + | 0.854551i | ||||
\(932\) | 50.5841 | − | 87.6141i | 1.65694 | − | 2.86990i | ||||
\(933\) | 42.4166 | − | 0.617166i | 1.38866 | − | 0.0202051i | ||||
\(934\) | −67.1686 | + | 38.7798i | −2.19783 | + | 1.26891i | ||||
\(935\) | 28.5418 | − | 22.4275i | 0.933416 | − | 0.733456i | ||||
\(936\) | −18.9641 | − | 30.7448i | −0.619861 | − | 1.00493i | ||||
\(937\) | −46.6059 | −1.52255 | −0.761275 | − | 0.648430i | \(-0.775426\pi\) | ||||
−0.761275 | + | 0.648430i | \(0.775426\pi\) | |||||||
\(938\) | 54.9299 | − | 17.0420i | 1.79353 | − | 0.556440i | ||||
\(939\) | −2.81973 | + | 5.05227i | −0.0920184 | + | 0.164875i | ||||
\(940\) | −43.7694 | + | 6.27563i | −1.42760 | + | 0.204688i | ||||
\(941\) | −8.59555 | + | 14.8879i | −0.280207 | + | 0.485333i | −0.971436 | − | 0.237303i | \(-0.923736\pi\) |
0.691229 | + | 0.722636i | \(0.257070\pi\) | |||||||
\(942\) | 42.2955 | + | 70.8569i | 1.37806 | + | 2.30864i | ||||
\(943\) | −8.83100 | − | 15.2957i | −0.287577 | − | 0.498098i | ||||
\(944\) | −0.655438 | −0.0213327 | ||||||||
\(945\) | 27.1685 | − | 14.3830i | 0.883793 | − | 0.467879i | ||||
\(946\) | −6.50258 | −0.211417 | ||||||||
\(947\) | −14.8744 | − | 25.7632i | −0.483353 | − | 0.837193i | 0.516464 | − | 0.856309i | \(-0.327248\pi\) |
−0.999817 | + | 0.0191163i | \(0.993915\pi\) | |||||||
\(948\) | −14.5196 | − | 24.3245i | −0.471576 | − | 0.790022i | ||||
\(949\) | −8.57596 | + | 14.8540i | −0.278387 | + | 0.482181i | ||||
\(950\) | 36.9781 | − | 38.7208i | 1.19973 | − | 1.25627i | ||||
\(951\) | 11.8713 | − | 21.2705i | 0.384954 | − | 0.689744i | ||||
\(952\) | 34.5335 | − | 10.7140i | 1.11924 | − | 0.347243i | ||||
\(953\) | 5.88794 | 0.190729 | 0.0953645 | − | 0.995442i | \(-0.469598\pi\) | ||||
0.0953645 | + | 0.995442i | \(0.469598\pi\) | |||||||
\(954\) | −48.1196 | + | 1.40059i | −1.55793 | + | 0.0453457i | ||||
\(955\) | −7.44730 | − | 9.47764i | −0.240989 | − | 0.306689i | ||||
\(956\) | 39.1783 | − | 22.6196i | 1.26712 | − | 0.731571i | ||||
\(957\) | 22.9370 | − | 0.333735i | 0.741447 | − | 0.0107881i | ||||
\(958\) | −14.0212 | + | 24.2854i | −0.453004 | + | 0.784627i | ||||
\(959\) | 12.0586 | − | 13.0387i | 0.389391 | − | 0.421042i | ||||
\(960\) | 34.5591 | − | 27.9784i | 1.11539 | − | 0.902999i | ||||
\(961\) | −6.83482 | − | 11.8383i | −0.220478 | − | 0.381879i | ||||
\(962\) | − | 50.3432i | − | 1.62313i | ||||||
\(963\) | 5.35947 | − | 9.93998i | 0.172706 | − | 0.320311i | ||||
\(964\) | − | 66.1783i | − | 2.13146i | ||||||
\(965\) | −2.38064 | + | 5.93981i | −0.0766354 | + | 0.191209i | ||||
\(966\) | 60.1570 | − | 66.9756i | 1.93552 | − | 2.15491i | ||||
\(967\) | 2.67310 | + | 1.54332i | 0.0859611 | + | 0.0496297i | 0.542364 | − | 0.840143i | \(-0.317529\pi\) |
−0.456403 | + | 0.889773i | \(0.650863\pi\) | |||||||
\(968\) | 18.6078 | − | 32.2296i | 0.598076 | − | 1.03590i | ||||
\(969\) | 14.3074 | + | 23.9689i | 0.459620 | + | 0.769993i | ||||
\(970\) | 25.5327 | + | 10.2333i | 0.819804 | + | 0.328572i | ||||
\(971\) | −50.7193 | −1.62766 | −0.813829 | − | 0.581104i | \(-0.802621\pi\) | ||||
−0.813829 | + | 0.581104i | \(0.802621\pi\) | |||||||
\(972\) | −31.6632 | − | 46.6471i | −1.01560 | − | 1.49621i | ||||
\(973\) | −1.77786 | + | 7.84840i | −0.0569955 | + | 0.251608i | ||||
\(974\) | −48.2277 | + | 27.8443i | −1.54531 | + | 0.892188i | ||||
\(975\) | −26.0061 | + | 8.02660i | −0.832863 | + | 0.257057i | ||||
\(976\) | 19.3793 | + | 11.1886i | 0.620316 | + | 0.358139i | ||||
\(977\) | −13.8454 | + | 23.9809i | −0.442953 | + | 0.767217i | −0.997907 | − | 0.0646638i | \(-0.979403\pi\) |
0.554954 | + | 0.831881i | \(0.312736\pi\) | |||||||
\(978\) | −9.79268 | − | 5.46541i | −0.313135 | − | 0.174765i | ||||
\(979\) | 30.5228 | − | 17.6224i | 0.975513 | − | 0.563213i | ||||
\(980\) | −55.2395 | + | 12.3803i | −1.76456 | + | 0.395473i | ||||
\(981\) | −12.2092 | + | 22.6438i | −0.389809 | + | 0.722962i | ||||
\(982\) | 53.9402i | 1.72130i | ||||||||
\(983\) | −28.5512 | + | 16.4840i | −0.910641 | + | 0.525759i | −0.880637 | − | 0.473791i | \(-0.842885\pi\) |
−0.0300035 | + | 0.999550i | \(0.509552\pi\) | |||||||
\(984\) | 14.1383 | − | 0.205714i | 0.450713 | − | 0.00655792i | ||||
\(985\) | −2.16124 | − | 15.0735i | −0.0688627 | − | 0.480283i | ||||
\(986\) | −12.2997 | + | 21.3036i | −0.391701 | + | 0.678446i | ||||
\(987\) | −5.17938 | + | 24.5145i | −0.164861 | + | 0.780304i | ||||
\(988\) | −44.4758 | + | 25.6781i | −1.41496 | + | 0.816929i | ||||
\(989\) | − | 4.99734i | − | 0.158906i | ||||||
\(990\) | 46.3411 | + | 55.5678i | 1.47282 | + | 1.76606i | ||||
\(991\) | −11.4161 | −0.362643 | −0.181322 | − | 0.983424i | \(-0.558037\pi\) | ||||
−0.181322 | + | 0.983424i | \(0.558037\pi\) | |||||||
\(992\) | −11.8456 | + | 6.83907i | −0.376098 | + | 0.217141i | ||||
\(993\) | −9.53484 | + | 17.0841i | −0.302579 | + | 0.542148i | ||||
\(994\) | 41.6052 | + | 38.4777i | 1.31964 | + | 1.22044i | ||||
\(995\) | 33.6307 | − | 4.82194i | 1.06616 | − | 0.152866i | ||||
\(996\) | −16.3537 | + | 9.76178i | −0.518188 | + | 0.309314i | ||||
\(997\) | 19.4210 | + | 33.6381i | 0.615068 | + | 1.06533i | 0.990373 | + | 0.138427i | \(0.0442046\pi\) |
−0.375305 | + | 0.926901i | \(0.622462\pi\) | |||||||
\(998\) | 15.4300 | 0.488427 | ||||||||
\(999\) | −1.53249 | − | 35.0886i | −0.0484859 | − | 1.11015i |
(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 | 315.2.z.b.104.5 | ✓ | 80 | |
3.2 | odd | 2 | 945.2.z.b.314.36 | 80 | |||
5.4 | even | 2 | inner | 315.2.z.b.104.36 | yes | 80 | |
7.6 | odd | 2 | inner | 315.2.z.b.104.6 | yes | 80 | |
9.2 | odd | 6 | inner | 315.2.z.b.209.35 | yes | 80 | |
9.7 | even | 3 | 945.2.z.b.629.6 | 80 | |||
15.14 | odd | 2 | 945.2.z.b.314.5 | 80 | |||
21.20 | even | 2 | 945.2.z.b.314.35 | 80 | |||
35.34 | odd | 2 | inner | 315.2.z.b.104.35 | yes | 80 | |
45.29 | odd | 6 | inner | 315.2.z.b.209.6 | yes | 80 | |
45.34 | even | 6 | 945.2.z.b.629.35 | 80 | |||
63.20 | even | 6 | inner | 315.2.z.b.209.36 | yes | 80 | |
63.34 | odd | 6 | 945.2.z.b.629.5 | 80 | |||
105.104 | even | 2 | 945.2.z.b.314.6 | 80 | |||
315.34 | odd | 6 | 945.2.z.b.629.36 | 80 | |||
315.209 | even | 6 | inner | 315.2.z.b.209.5 | yes | 80 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
315.2.z.b.104.5 | ✓ | 80 | 1.1 | even | 1 | trivial | |
315.2.z.b.104.6 | yes | 80 | 7.6 | odd | 2 | inner | |
315.2.z.b.104.35 | yes | 80 | 35.34 | odd | 2 | inner | |
315.2.z.b.104.36 | yes | 80 | 5.4 | even | 2 | inner | |
315.2.z.b.209.5 | yes | 80 | 315.209 | even | 6 | inner | |
315.2.z.b.209.6 | yes | 80 | 45.29 | odd | 6 | inner | |
315.2.z.b.209.35 | yes | 80 | 9.2 | odd | 6 | inner | |
315.2.z.b.209.36 | yes | 80 | 63.20 | even | 6 | inner | |
945.2.z.b.314.5 | 80 | 15.14 | odd | 2 | |||
945.2.z.b.314.6 | 80 | 105.104 | even | 2 | |||
945.2.z.b.314.35 | 80 | 21.20 | even | 2 | |||
945.2.z.b.314.36 | 80 | 3.2 | odd | 2 | |||
945.2.z.b.629.5 | 80 | 63.34 | odd | 6 | |||
945.2.z.b.629.6 | 80 | 9.7 | even | 3 | |||
945.2.z.b.629.35 | 80 | 45.34 | even | 6 | |||
945.2.z.b.629.36 | 80 | 315.34 | odd | 6 |