Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(118,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.118");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.h (of order \(3\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(34\) |
Relative dimension: | \(17\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 222.12 | ||
Character | \(\chi\) | \(=\) | 403.222 |
Dual form | 403.2.h.b.118.12 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.35626 | 0.959022 | 0.479511 | − | 0.877536i | \(-0.340814\pi\) | ||||
0.479511 | + | 0.877536i | \(0.340814\pi\) | |||||||
\(3\) | 0.0933728 | − | 0.161726i | 0.0539088 | − | 0.0933728i | −0.837812 | − | 0.545959i | \(-0.816165\pi\) |
0.891720 | + | 0.452587i | \(0.149499\pi\) | |||||||
\(4\) | −0.160553 | −0.0802766 | ||||||||
\(5\) | 1.08899 | + | 1.88618i | 0.487010 | + | 0.843526i | 0.999888 | − | 0.0149354i | \(-0.00475427\pi\) |
−0.512879 | + | 0.858461i | \(0.671421\pi\) | |||||||
\(6\) | 0.126638 | − | 0.219343i | 0.0516997 | − | 0.0895466i | ||||
\(7\) | −1.43912 | + | 2.49263i | −0.543936 | + | 0.942126i | 0.454737 | + | 0.890626i | \(0.349733\pi\) |
−0.998673 | + | 0.0514996i | \(0.983600\pi\) | |||||||
\(8\) | −2.93028 | −1.03601 | ||||||||
\(9\) | 1.48256 | + | 2.56787i | 0.494188 | + | 0.855958i | ||||
\(10\) | 1.47695 | + | 2.55816i | 0.467053 | + | 0.808960i | ||||
\(11\) | 1.47628 | + | 2.55699i | 0.445115 | + | 0.770962i | 0.998060 | − | 0.0622557i | \(-0.0198294\pi\) |
−0.552945 | + | 0.833218i | \(0.686496\pi\) | |||||||
\(12\) | −0.0149913 | + | 0.0259657i | −0.00432762 | + | 0.00749565i | ||||
\(13\) | −0.500000 | − | 0.866025i | −0.138675 | − | 0.240192i | ||||
\(14\) | −1.95182 | + | 3.38066i | −0.521647 | + | 0.903519i | ||||
\(15\) | 0.406727 | 0.105016 | ||||||||
\(16\) | −3.65312 | −0.913279 | ||||||||
\(17\) | 0.832376 | − | 1.44172i | 0.201881 | − | 0.349668i | −0.747254 | − | 0.664539i | \(-0.768628\pi\) |
0.949134 | + | 0.314871i | \(0.101961\pi\) | |||||||
\(18\) | 2.01074 | + | 3.48271i | 0.473937 | + | 0.820883i | ||||
\(19\) | 3.39325 | − | 5.87729i | 0.778465 | − | 1.34834i | −0.154360 | − | 0.988015i | \(-0.549332\pi\) |
0.932826 | − | 0.360327i | \(-0.117335\pi\) | |||||||
\(20\) | −0.174840 | − | 0.302832i | −0.0390955 | − | 0.0677154i | ||||
\(21\) | 0.268749 | + | 0.465488i | 0.0586459 | + | 0.101578i | ||||
\(22\) | 2.00222 | + | 3.46795i | 0.426875 | + | 0.739370i | ||||
\(23\) | 4.72909 | 0.986083 | 0.493042 | − | 0.870006i | \(-0.335885\pi\) | ||||
0.493042 | + | 0.870006i | \(0.335885\pi\) | |||||||
\(24\) | −0.273608 | + | 0.473903i | −0.0558500 | + | 0.0967351i | ||||
\(25\) | 0.128215 | − | 0.222075i | 0.0256430 | − | 0.0444149i | ||||
\(26\) | −0.678131 | − | 1.17456i | −0.132992 | − | 0.230350i | ||||
\(27\) | 1.11396 | 0.214382 | ||||||||
\(28\) | 0.231056 | − | 0.400200i | 0.0436654 | − | 0.0756307i | ||||
\(29\) | −1.93062 | −0.358507 | −0.179254 | − | 0.983803i | \(-0.557368\pi\) | ||||
−0.179254 | + | 0.983803i | \(0.557368\pi\) | |||||||
\(30\) | 0.551628 | 0.100713 | ||||||||
\(31\) | −4.88752 | + | 2.66686i | −0.877825 | + | 0.478982i | ||||
\(32\) | 0.905970 | 0.160154 | ||||||||
\(33\) | 0.551377 | 0.0959825 | ||||||||
\(34\) | 1.12892 | − | 1.95535i | 0.193608 | − | 0.335339i | ||||
\(35\) | −6.26873 | −1.05961 | ||||||||
\(36\) | −0.238030 | − | 0.412281i | −0.0396717 | − | 0.0687134i | ||||
\(37\) | −0.166256 | + | 0.287964i | −0.0273323 | + | 0.0473410i | −0.879368 | − | 0.476143i | \(-0.842035\pi\) |
0.852036 | + | 0.523484i | \(0.175368\pi\) | |||||||
\(38\) | 4.60214 | − | 7.97114i | 0.746566 | − | 1.29309i | ||||
\(39\) | −0.186746 | −0.0299032 | ||||||||
\(40\) | −3.19103 | − | 5.52703i | −0.504547 | − | 0.873900i | ||||
\(41\) | −0.561667 | − | 0.972836i | −0.0877176 | − | 0.151931i | 0.818828 | − | 0.574038i | \(-0.194624\pi\) |
−0.906546 | + | 0.422107i | \(0.861291\pi\) | |||||||
\(42\) | 0.364495 | + | 0.631323i | 0.0562427 | + | 0.0974153i | ||||
\(43\) | 2.62471 | − | 4.54613i | 0.400264 | − | 0.693278i | −0.593493 | − | 0.804839i | \(-0.702252\pi\) |
0.993758 | + | 0.111561i | \(0.0355849\pi\) | |||||||
\(44\) | −0.237022 | − | 0.410533i | −0.0357323 | − | 0.0618902i | ||||
\(45\) | −3.22898 | + | 5.59276i | −0.481348 | + | 0.833720i | ||||
\(46\) | 6.41388 | 0.945676 | ||||||||
\(47\) | −8.43721 | −1.23069 | −0.615347 | − | 0.788256i | \(-0.710984\pi\) | ||||
−0.615347 | + | 0.788256i | \(0.710984\pi\) | |||||||
\(48\) | −0.341102 | + | 0.590805i | −0.0492338 | + | 0.0852754i | ||||
\(49\) | −0.642137 | − | 1.11221i | −0.0917338 | − | 0.158888i | ||||
\(50\) | 0.173893 | − | 0.301192i | 0.0245922 | − | 0.0425949i | ||||
\(51\) | −0.155443 | − | 0.269234i | −0.0217663 | − | 0.0377003i | ||||
\(52\) | 0.0802766 | + | 0.139043i | 0.0111324 | + | 0.0192818i | ||||
\(53\) | 5.94060 | + | 10.2894i | 0.816004 | + | 1.41336i | 0.908605 | + | 0.417657i | \(0.137148\pi\) |
−0.0926012 | + | 0.995703i | \(0.529518\pi\) | |||||||
\(54\) | 1.51082 | 0.205597 | ||||||||
\(55\) | −3.21530 | + | 5.56906i | −0.433551 | + | 0.750932i | ||||
\(56\) | 4.21702 | − | 7.30410i | 0.563523 | − | 0.976051i | ||||
\(57\) | −0.633675 | − | 1.09756i | −0.0839323 | − | 0.145375i | ||||
\(58\) | −2.61843 | −0.343816 | ||||||||
\(59\) | 3.23067 | − | 5.59568i | 0.420597 | − | 0.728495i | −0.575401 | − | 0.817871i | \(-0.695154\pi\) |
0.995998 | + | 0.0893762i | \(0.0284873\pi\) | |||||||
\(60\) | −0.0653013 | −0.00843037 | ||||||||
\(61\) | 5.91690 | 0.757581 | 0.378790 | − | 0.925482i | \(-0.376340\pi\) | ||||
0.378790 | + | 0.925482i | \(0.376340\pi\) | |||||||
\(62\) | −6.62876 | + | 3.61696i | −0.841853 | + | 0.459355i | ||||
\(63\) | −8.53435 | −1.07523 | ||||||||
\(64\) | 8.53497 | 1.06687 | ||||||||
\(65\) | 1.08899 | − | 1.88618i | 0.135072 | − | 0.233952i | ||||
\(66\) | 0.747812 | 0.0920493 | ||||||||
\(67\) | −5.73764 | − | 9.93788i | −0.700964 | − | 1.21411i | −0.968128 | − | 0.250454i | \(-0.919420\pi\) |
0.267164 | − | 0.963651i | \(-0.413913\pi\) | |||||||
\(68\) | −0.133641 | + | 0.231472i | −0.0162063 | + | 0.0280702i | ||||
\(69\) | 0.441568 | − | 0.764819i | 0.0531586 | − | 0.0920733i | ||||
\(70\) | −8.50205 | −1.01619 | ||||||||
\(71\) | −0.218153 | − | 0.377852i | −0.0258900 | − | 0.0448428i | 0.852790 | − | 0.522254i | \(-0.174909\pi\) |
−0.878680 | + | 0.477411i | \(0.841575\pi\) | |||||||
\(72\) | −4.34432 | − | 7.52458i | −0.511983 | − | 0.886781i | ||||
\(73\) | 2.33501 | + | 4.04435i | 0.273292 | + | 0.473356i | 0.969703 | − | 0.244288i | \(-0.0785541\pi\) |
−0.696411 | + | 0.717644i | \(0.745221\pi\) | |||||||
\(74\) | −0.225487 | + | 0.390554i | −0.0262123 | + | 0.0454010i | ||||
\(75\) | −0.0239436 | − | 0.0414715i | −0.00276477 | − | 0.00478871i | ||||
\(76\) | −0.544798 | + | 0.943617i | −0.0624926 | + | 0.108240i | ||||
\(77\) | −8.49818 | −0.968457 | ||||||||
\(78\) | −0.253276 | −0.0286779 | ||||||||
\(79\) | 6.84557 | − | 11.8569i | 0.770187 | − | 1.33400i | −0.167274 | − | 0.985910i | \(-0.553496\pi\) |
0.937460 | − | 0.348092i | \(-0.113170\pi\) | |||||||
\(80\) | −3.97820 | − | 6.89044i | −0.444776 | − | 0.770374i | ||||
\(81\) | −4.34368 | + | 7.52347i | −0.482631 | + | 0.835941i | ||||
\(82\) | −0.761767 | − | 1.31942i | −0.0841231 | − | 0.145706i | ||||
\(83\) | −3.91140 | − | 6.77474i | −0.429331 | − | 0.743624i | 0.567483 | − | 0.823385i | \(-0.307917\pi\) |
−0.996814 | + | 0.0797616i | \(0.974584\pi\) | |||||||
\(84\) | −0.0431486 | − | 0.0747356i | −0.00470790 | − | 0.00815432i | ||||
\(85\) | 3.62579 | 0.393272 | ||||||||
\(86\) | 3.55979 | − | 6.16574i | 0.383862 | − | 0.664869i | ||||
\(87\) | −0.180267 | + | 0.312232i | −0.0193267 | + | 0.0334748i | ||||
\(88\) | −4.32591 | − | 7.49269i | −0.461143 | − | 0.798724i | ||||
\(89\) | 4.45512 | 0.472242 | 0.236121 | − | 0.971724i | \(-0.424124\pi\) | ||||
0.236121 | + | 0.971724i | \(0.424124\pi\) | |||||||
\(90\) | −4.37935 | + | 7.58525i | −0.461624 | + | 0.799556i | ||||
\(91\) | 2.87824 | 0.301722 | ||||||||
\(92\) | −0.759271 | −0.0791594 | ||||||||
\(93\) | −0.0250597 | + | 1.03945i | −0.00259857 | + | 0.107786i | ||||
\(94\) | −11.4431 | −1.18026 | ||||||||
\(95\) | 14.7808 | 1.51648 | ||||||||
\(96\) | 0.0845929 | − | 0.146519i | 0.00863373 | − | 0.0149541i | ||||
\(97\) | −1.02000 | −0.103565 | −0.0517826 | − | 0.998658i | \(-0.516490\pi\) | ||||
−0.0517826 | + | 0.998658i | \(0.516490\pi\) | |||||||
\(98\) | −0.870906 | − | 1.50845i | −0.0879748 | − | 0.152377i | ||||
\(99\) | −4.37736 | + | 7.58180i | −0.439941 | + | 0.762000i | ||||
\(100\) | −0.0205853 | + | 0.0356548i | −0.00205853 | + | 0.00356548i | ||||
\(101\) | 11.5844 | 1.15269 | 0.576347 | − | 0.817205i | \(-0.304478\pi\) | ||||
0.576347 | + | 0.817205i | \(0.304478\pi\) | |||||||
\(102\) | −0.210821 | − | 0.365152i | −0.0208744 | − | 0.0361555i | ||||
\(103\) | −3.20893 | − | 5.55803i | −0.316185 | − | 0.547649i | 0.663503 | − | 0.748173i | \(-0.269069\pi\) |
−0.979689 | + | 0.200524i | \(0.935735\pi\) | |||||||
\(104\) | 1.46514 | + | 2.53769i | 0.143669 | + | 0.248841i | ||||
\(105\) | −0.585329 | + | 1.01382i | −0.0571223 | + | 0.0989387i | ||||
\(106\) | 8.05701 | + | 13.9551i | 0.782566 | + | 1.35544i | ||||
\(107\) | −6.84343 | + | 11.8532i | −0.661580 | + | 1.14589i | 0.318621 | + | 0.947882i | \(0.396780\pi\) |
−0.980201 | + | 0.198007i | \(0.936553\pi\) | |||||||
\(108\) | −0.178850 | −0.0172099 | ||||||||
\(109\) | −6.09277 | −0.583582 | −0.291791 | − | 0.956482i | \(-0.594251\pi\) | ||||
−0.291791 | + | 0.956482i | \(0.594251\pi\) | |||||||
\(110\) | −4.36079 | + | 7.55311i | −0.415785 | + | 0.720160i | ||||
\(111\) | 0.0310476 | + | 0.0537760i | 0.00294691 | + | 0.00510419i | ||||
\(112\) | 5.25727 | − | 9.10587i | 0.496766 | − | 0.860424i | ||||
\(113\) | 2.97561 | + | 5.15390i | 0.279922 | + | 0.484838i | 0.971365 | − | 0.237592i | \(-0.0763582\pi\) |
−0.691443 | + | 0.722431i | \(0.743025\pi\) | |||||||
\(114\) | −0.859429 | − | 1.48857i | −0.0804929 | − | 0.139418i | ||||
\(115\) | 5.14992 | + | 8.91992i | 0.480232 | + | 0.831786i | ||||
\(116\) | 0.309967 | 0.0287798 | ||||||||
\(117\) | 1.48256 | − | 2.56787i | 0.137063 | − | 0.237400i | ||||
\(118\) | 4.38163 | − | 7.58921i | 0.403362 | − | 0.698643i | ||||
\(119\) | 2.39578 | + | 4.14961i | 0.219621 | + | 0.380394i | ||||
\(120\) | −1.19182 | −0.108798 | ||||||||
\(121\) | 1.14120 | − | 1.97661i | 0.103745 | − | 0.179692i | ||||
\(122\) | 8.02486 | 0.726537 | ||||||||
\(123\) | −0.209778 | −0.0189150 | ||||||||
\(124\) | 0.784707 | − | 0.428173i | 0.0704688 | − | 0.0384511i | ||||
\(125\) | 11.4484 | 1.02397 | ||||||||
\(126\) | −11.5748 | −1.03117 | ||||||||
\(127\) | −3.92779 | + | 6.80314i | −0.348535 | + | 0.603681i | −0.985990 | − | 0.166807i | \(-0.946654\pi\) |
0.637454 | + | 0.770488i | \(0.279988\pi\) | |||||||
\(128\) | 9.76371 | 0.862998 | ||||||||
\(129\) | −0.490153 | − | 0.848970i | −0.0431556 | − | 0.0747476i | ||||
\(130\) | 1.47695 | − | 2.55816i | 0.129537 | − | 0.224365i | ||||
\(131\) | 6.23032 | − | 10.7912i | 0.544346 | − | 0.942835i | −0.454302 | − | 0.890848i | \(-0.650111\pi\) |
0.998648 | − | 0.0519869i | \(-0.0165554\pi\) | |||||||
\(132\) | −0.0885255 | −0.00770515 | ||||||||
\(133\) | 9.76660 | + | 16.9162i | 0.846872 | + | 1.46682i | ||||
\(134\) | −7.78174 | − | 13.4784i | −0.672240 | − | 1.16435i | ||||
\(135\) | 1.21309 | + | 2.10113i | 0.104406 | + | 0.180837i | ||||
\(136\) | −2.43909 | + | 4.22463i | −0.209150 | + | 0.362259i | ||||
\(137\) | −3.34706 | − | 5.79728i | −0.285959 | − | 0.495295i | 0.686882 | − | 0.726769i | \(-0.258979\pi\) |
−0.972841 | + | 0.231473i | \(0.925645\pi\) | |||||||
\(138\) | 0.598882 | − | 1.03729i | 0.0509802 | − | 0.0883004i | ||||
\(139\) | −1.57378 | −0.133486 | −0.0667432 | − | 0.997770i | \(-0.521261\pi\) | ||||
−0.0667432 | + | 0.997770i | \(0.521261\pi\) | |||||||
\(140\) | 1.00647 | 0.0850619 | ||||||||
\(141\) | −0.787806 | + | 1.36452i | −0.0663453 | + | 0.114913i | ||||
\(142\) | −0.295873 | − | 0.512466i | −0.0248291 | − | 0.0430052i | ||||
\(143\) | 1.47628 | − | 2.55699i | 0.123453 | − | 0.213826i | ||||
\(144\) | −5.41597 | − | 9.38074i | −0.451331 | − | 0.781729i | ||||
\(145\) | −2.10242 | − | 3.64150i | −0.174597 | − | 0.302410i | ||||
\(146\) | 3.16688 | + | 5.48521i | 0.262093 | + | 0.453959i | ||||
\(147\) | −0.239832 | −0.0197810 | ||||||||
\(148\) | 0.0266929 | − | 0.0462335i | 0.00219415 | − | 0.00380037i | ||||
\(149\) | 7.20311 | − | 12.4762i | 0.590102 | − | 1.02209i | −0.404116 | − | 0.914708i | \(-0.632421\pi\) |
0.994218 | − | 0.107379i | \(-0.0342458\pi\) | |||||||
\(150\) | −0.0324738 | − | 0.0562462i | −0.00265147 | − | 0.00459248i | ||||
\(151\) | −11.9734 | −0.974385 | −0.487193 | − | 0.873295i | \(-0.661979\pi\) | ||||
−0.487193 | + | 0.873295i | \(0.661979\pi\) | |||||||
\(152\) | −9.94317 | + | 17.2221i | −0.806497 | + | 1.39689i | ||||
\(153\) | 4.93620 | 0.399068 | ||||||||
\(154\) | −11.5258 | −0.928772 | ||||||||
\(155\) | −10.3526 | − | 6.31457i | −0.831543 | − | 0.507199i | ||||
\(156\) | 0.0299826 | 0.00240053 | ||||||||
\(157\) | −9.19658 | −0.733967 | −0.366983 | − | 0.930227i | \(-0.619609\pi\) | ||||
−0.366983 | + | 0.930227i | \(0.619609\pi\) | |||||||
\(158\) | 9.28438 | − | 16.0810i | 0.738626 | − | 1.27934i | ||||
\(159\) | 2.21876 | 0.175959 | ||||||||
\(160\) | 0.986590 | + | 1.70882i | 0.0779968 | + | 0.135094i | ||||
\(161\) | −6.80573 | + | 11.7879i | −0.536367 | + | 0.929014i | ||||
\(162\) | −5.89116 | + | 10.2038i | −0.462853 | + | 0.801686i | ||||
\(163\) | 0.327869 | 0.0256807 | 0.0128404 | − | 0.999918i | \(-0.495913\pi\) | ||||
0.0128404 | + | 0.999918i | \(0.495913\pi\) | |||||||
\(164\) | 0.0901775 | + | 0.156192i | 0.00704168 | + | 0.0121965i | ||||
\(165\) | 0.600443 | + | 1.04000i | 0.0467444 | + | 0.0809637i | ||||
\(166\) | −5.30488 | − | 9.18832i | −0.411738 | − | 0.713152i | ||||
\(167\) | 0.259404 | − | 0.449301i | 0.0200733 | − | 0.0347680i | −0.855814 | − | 0.517283i | \(-0.826943\pi\) |
0.875888 | + | 0.482515i | \(0.160277\pi\) | |||||||
\(168\) | −0.787510 | − | 1.36401i | −0.0607577 | − | 0.105235i | ||||
\(169\) | −0.500000 | + | 0.866025i | −0.0384615 | + | 0.0666173i | ||||
\(170\) | 4.91752 | 0.377156 | ||||||||
\(171\) | 20.1228 | 1.53883 | ||||||||
\(172\) | −0.421406 | + | 0.729896i | −0.0321319 | + | 0.0556541i | ||||
\(173\) | −3.54626 | − | 6.14231i | −0.269617 | − | 0.466991i | 0.699146 | − | 0.714979i | \(-0.253564\pi\) |
−0.968763 | + | 0.247988i | \(0.920231\pi\) | |||||||
\(174\) | −0.244490 | + | 0.423469i | −0.0185347 | + | 0.0321031i | ||||
\(175\) | 0.369033 | + | 0.639185i | 0.0278963 | + | 0.0483178i | ||||
\(176\) | −5.39302 | − | 9.34099i | −0.406514 | − | 0.704103i | ||||
\(177\) | −0.603313 | − | 1.04497i | −0.0453478 | − | 0.0785446i | ||||
\(178\) | 6.04231 | 0.452890 | ||||||||
\(179\) | −9.91972 | + | 17.1815i | −0.741435 | + | 1.28420i | 0.210408 | + | 0.977614i | \(0.432521\pi\) |
−0.951842 | + | 0.306589i | \(0.900812\pi\) | |||||||
\(180\) | 0.518424 | − | 0.897936i | 0.0386410 | − | 0.0669282i | ||||
\(181\) | 6.83259 | + | 11.8344i | 0.507862 | + | 0.879643i | 0.999959 | + | 0.00910261i | \(0.00289749\pi\) |
−0.492096 | + | 0.870541i | \(0.663769\pi\) | |||||||
\(182\) | 3.90365 | 0.289358 | ||||||||
\(183\) | 0.552477 | − | 0.956918i | 0.0408403 | − | 0.0707374i | ||||
\(184\) | −13.8575 | −1.02159 | ||||||||
\(185\) | −0.724203 | −0.0532444 | ||||||||
\(186\) | −0.0339875 | + | 1.40977i | −0.00249208 | + | 0.103369i | ||||
\(187\) | 4.91528 | 0.359441 | ||||||||
\(188\) | 1.35462 | 0.0987960 | ||||||||
\(189\) | −1.60312 | + | 2.77669i | −0.116610 | + | 0.201975i | ||||
\(190\) | 20.0467 | 1.45434 | ||||||||
\(191\) | −12.0453 | − | 20.8630i | −0.871566 | − | 1.50960i | −0.860376 | − | 0.509660i | \(-0.829771\pi\) |
−0.0111903 | − | 0.999937i | \(-0.503562\pi\) | |||||||
\(192\) | 0.796933 | − | 1.38033i | 0.0575137 | − | 0.0996167i | ||||
\(193\) | −0.0996204 | + | 0.172548i | −0.00717083 | + | 0.0124202i | −0.869589 | − | 0.493777i | \(-0.835616\pi\) |
0.862418 | + | 0.506197i | \(0.168949\pi\) | |||||||
\(194\) | −1.38339 | −0.0993214 | ||||||||
\(195\) | −0.203363 | − | 0.352236i | −0.0145632 | − | 0.0252241i | ||||
\(196\) | 0.103097 | + | 0.178570i | 0.00736408 | + | 0.0127550i | ||||
\(197\) | −0.331896 | − | 0.574860i | −0.0236466 | − | 0.0409571i | 0.853960 | − | 0.520339i | \(-0.174194\pi\) |
−0.877607 | + | 0.479382i | \(0.840861\pi\) | |||||||
\(198\) | −5.93684 | + | 10.2829i | −0.421913 | + | 0.730775i | ||||
\(199\) | 8.60620 | + | 14.9064i | 0.610077 | + | 1.05668i | 0.991227 | + | 0.132172i | \(0.0421950\pi\) |
−0.381150 | + | 0.924513i | \(0.624472\pi\) | |||||||
\(200\) | −0.375705 | + | 0.650740i | −0.0265664 | + | 0.0460143i | ||||
\(201\) | −2.14296 | −0.151153 | ||||||||
\(202\) | 15.7115 | 1.10546 | ||||||||
\(203\) | 2.77840 | − | 4.81232i | 0.195005 | − | 0.337759i | ||||
\(204\) | 0.0249568 | + | 0.0432265i | 0.00174733 | + | 0.00302646i | ||||
\(205\) | 1.22330 | − | 2.11881i | 0.0854387 | − | 0.147984i | ||||
\(206\) | −4.35215 | − | 7.53815i | −0.303229 | − | 0.525208i | ||||
\(207\) | 7.01117 | + | 12.1437i | 0.487310 | + | 0.844046i | ||||
\(208\) | 1.82656 | + | 3.16369i | 0.126649 | + | 0.219363i | ||||
\(209\) | 20.0376 | 1.38603 | ||||||||
\(210\) | −0.793860 | + | 1.37501i | −0.0547815 | + | 0.0948844i | ||||
\(211\) | −9.17204 | + | 15.8864i | −0.631429 | + | 1.09367i | 0.355830 | + | 0.934551i | \(0.384198\pi\) |
−0.987260 | + | 0.159117i | \(0.949135\pi\) | |||||||
\(212\) | −0.953782 | − | 1.65200i | −0.0655060 | − | 0.113460i | ||||
\(213\) | −0.0814782 | −0.00558280 | ||||||||
\(214\) | −9.28149 | + | 16.0760i | −0.634469 | + | 1.09893i | ||||
\(215\) | 11.4331 | 0.779731 | ||||||||
\(216\) | −3.26421 | −0.222102 | ||||||||
\(217\) | 0.386236 | − | 16.0207i | 0.0262194 | − | 1.08756i | ||||
\(218\) | −8.26340 | −0.559668 | ||||||||
\(219\) | 0.872105 | 0.0589314 | ||||||||
\(220\) | 0.516227 | − | 0.894131i | 0.0348040 | − | 0.0602823i | ||||
\(221\) | −1.66475 | −0.111983 | ||||||||
\(222\) | 0.0421086 | + | 0.0729343i | 0.00282615 | + | 0.00489503i | ||||
\(223\) | −6.51339 | + | 11.2815i | −0.436169 | + | 0.755467i | −0.997390 | − | 0.0721990i | \(-0.976998\pi\) |
0.561221 | + | 0.827666i | \(0.310332\pi\) | |||||||
\(224\) | −1.30380 | + | 2.25825i | −0.0871138 | + | 0.150886i | ||||
\(225\) | 0.760347 | 0.0506898 | ||||||||
\(226\) | 4.03570 | + | 6.99004i | 0.268451 | + | 0.464971i | ||||
\(227\) | −11.1974 | − | 19.3944i | −0.743195 | − | 1.28725i | −0.951033 | − | 0.309088i | \(-0.899976\pi\) |
0.207838 | − | 0.978163i | \(-0.433357\pi\) | |||||||
\(228\) | 0.101739 | + | 0.176216i | 0.00673780 | + | 0.0116702i | ||||
\(229\) | −13.0652 | + | 22.6296i | −0.863374 | + | 1.49541i | 0.00527771 | + | 0.999986i | \(0.498320\pi\) |
−0.868652 | + | 0.495422i | \(0.835013\pi\) | |||||||
\(230\) | 6.98464 | + | 12.0977i | 0.460553 | + | 0.797702i | ||||
\(231\) | −0.793499 | + | 1.37438i | −0.0522084 | + | 0.0904276i | ||||
\(232\) | 5.65725 | 0.371417 | ||||||||
\(233\) | 10.7839 | 0.706474 | 0.353237 | − | 0.935534i | \(-0.385081\pi\) | ||||
0.353237 | + | 0.935534i | \(0.385081\pi\) | |||||||
\(234\) | 2.01074 | − | 3.48271i | 0.131446 | − | 0.227672i | ||||
\(235\) | −9.18802 | − | 15.9141i | −0.599360 | − | 1.03812i | ||||
\(236\) | −0.518694 | + | 0.898404i | −0.0337641 | + | 0.0584811i | ||||
\(237\) | −1.27838 | − | 2.21422i | −0.0830397 | − | 0.143829i | ||||
\(238\) | 3.24930 | + | 5.62796i | 0.210621 | + | 0.364806i | ||||
\(239\) | 11.0239 | + | 19.0939i | 0.713075 | + | 1.23508i | 0.963697 | + | 0.266998i | \(0.0860316\pi\) |
−0.250622 | + | 0.968085i | \(0.580635\pi\) | |||||||
\(240\) | −1.48582 | −0.0959093 | ||||||||
\(241\) | −4.49832 | + | 7.79132i | −0.289762 | + | 0.501883i | −0.973753 | − | 0.227608i | \(-0.926910\pi\) |
0.683991 | + | 0.729491i | \(0.260243\pi\) | |||||||
\(242\) | 1.54776 | − | 2.68080i | 0.0994938 | − | 0.172328i | ||||
\(243\) | 2.48210 | + | 4.29913i | 0.159227 | + | 0.275789i | ||||
\(244\) | −0.949977 | −0.0608160 | ||||||||
\(245\) | 1.39856 | − | 2.42237i | 0.0893505 | − | 0.154760i | ||||
\(246\) | −0.284513 | −0.0181399 | ||||||||
\(247\) | −6.78650 | −0.431815 | ||||||||
\(248\) | 14.3218 | − | 7.81464i | 0.909434 | − | 0.496230i | ||||
\(249\) | −1.46087 | −0.0925790 | ||||||||
\(250\) | 15.5270 | 0.982013 | ||||||||
\(251\) | 14.4953 | − | 25.1067i | 0.914937 | − | 1.58472i | 0.107944 | − | 0.994157i | \(-0.465573\pi\) |
0.806993 | − | 0.590561i | \(-0.201093\pi\) | |||||||
\(252\) | 1.37022 | 0.0863156 | ||||||||
\(253\) | 6.98146 | + | 12.0922i | 0.438921 | + | 0.760233i | ||||
\(254\) | −5.32712 | + | 9.22684i | −0.334253 | + | 0.578943i | ||||
\(255\) | 0.338550 | − | 0.586385i | 0.0212008 | − | 0.0367209i | ||||
\(256\) | −3.82778 | −0.239236 | ||||||||
\(257\) | −8.68613 | − | 15.0448i | −0.541826 | − | 0.938470i | −0.998799 | − | 0.0489898i | \(-0.984400\pi\) |
0.456973 | − | 0.889480i | \(-0.348934\pi\) | |||||||
\(258\) | −0.664776 | − | 1.15143i | −0.0413871 | − | 0.0716846i | ||||
\(259\) | −0.478525 | − | 0.828830i | −0.0297341 | − | 0.0515010i | ||||
\(260\) | −0.174840 | + | 0.302832i | −0.0108431 | + | 0.0187809i | ||||
\(261\) | −2.86227 | − | 4.95759i | −0.177170 | − | 0.306867i | ||||
\(262\) | 8.44995 | − | 14.6357i | 0.522040 | − | 0.904199i | ||||
\(263\) | −7.59299 | −0.468204 | −0.234102 | − | 0.972212i | \(-0.575215\pi\) | ||||
−0.234102 | + | 0.972212i | \(0.575215\pi\) | |||||||
\(264\) | −1.61569 | −0.0994387 | ||||||||
\(265\) | −12.9385 | + | 22.4101i | −0.794804 | + | 1.37664i | ||||
\(266\) | 13.2461 | + | 22.9429i | 0.812169 | + | 1.40672i | ||||
\(267\) | 0.415987 | − | 0.720511i | 0.0254580 | − | 0.0440945i | ||||
\(268\) | 0.921197 | + | 1.59556i | 0.0562710 | + | 0.0974643i | ||||
\(269\) | −12.7968 | − | 22.1646i | −0.780232 | − | 1.35140i | −0.931807 | − | 0.362955i | \(-0.881768\pi\) |
0.151575 | − | 0.988446i | \(-0.451565\pi\) | |||||||
\(270\) | 1.64527 | + | 2.84968i | 0.100128 | + | 0.173426i | ||||
\(271\) | −16.6475 | −1.01127 | −0.505633 | − | 0.862749i | \(-0.668741\pi\) | ||||
−0.505633 | + | 0.862749i | \(0.668741\pi\) | |||||||
\(272\) | −3.04077 | + | 5.26676i | −0.184373 | + | 0.319344i | ||||
\(273\) | 0.268749 | − | 0.465488i | 0.0162655 | − | 0.0281726i | ||||
\(274\) | −4.53949 | − | 7.86263i | −0.274241 | − | 0.474999i | ||||
\(275\) | 0.757124 | 0.0456563 | ||||||||
\(276\) | −0.0708952 | + | 0.122794i | −0.00426739 | + | 0.00739134i | ||||
\(277\) | −7.37235 | −0.442961 | −0.221481 | − | 0.975165i | \(-0.571089\pi\) | ||||
−0.221481 | + | 0.975165i | \(0.571089\pi\) | |||||||
\(278\) | −2.13446 | −0.128016 | ||||||||
\(279\) | −14.0942 | − | 8.59675i | −0.843799 | − | 0.514674i | ||||
\(280\) | 18.3691 | 1.09777 | ||||||||
\(281\) | 15.1665 | 0.904757 | 0.452379 | − | 0.891826i | \(-0.350576\pi\) | ||||
0.452379 | + | 0.891826i | \(0.350576\pi\) | |||||||
\(282\) | −1.06847 | + | 1.85065i | −0.0636266 | + | 0.110204i | ||||
\(283\) | 20.4765 | 1.21720 | 0.608602 | − | 0.793476i | \(-0.291731\pi\) | ||||
0.608602 | + | 0.793476i | \(0.291731\pi\) | |||||||
\(284\) | 0.0350252 | + | 0.0606654i | 0.00207836 | + | 0.00359983i | ||||
\(285\) | 1.38013 | − | 2.39045i | 0.0817517 | − | 0.141598i | ||||
\(286\) | 2.00222 | − | 3.46795i | 0.118394 | − | 0.205064i | ||||
\(287\) | 3.23323 | 0.190851 | ||||||||
\(288\) | 1.34316 | + | 2.32642i | 0.0791463 | + | 0.137085i | ||||
\(289\) | 7.11430 | + | 12.3223i | 0.418488 | + | 0.724843i | ||||
\(290\) | −2.85143 | − | 4.93883i | −0.167442 | − | 0.290018i | ||||
\(291\) | −0.0952402 | + | 0.164961i | −0.00558308 | + | 0.00967018i | ||||
\(292\) | −0.374893 | − | 0.649334i | −0.0219390 | − | 0.0379994i | ||||
\(293\) | −8.59044 | + | 14.8791i | −0.501859 | + | 0.869245i | 0.498139 | + | 0.867097i | \(0.334017\pi\) |
−0.999998 | + | 0.00214776i | \(0.999316\pi\) | |||||||
\(294\) | −0.325276 | −0.0189705 | ||||||||
\(295\) | 14.0726 | 0.819339 | ||||||||
\(296\) | 0.487176 | − | 0.843814i | 0.0283165 | − | 0.0490457i | ||||
\(297\) | 1.64452 | + | 2.84839i | 0.0954246 | + | 0.165280i | ||||
\(298\) | 9.76931 | − | 16.9209i | 0.565921 | − | 0.980204i | ||||
\(299\) | −2.36454 | − | 4.09551i | −0.136745 | − | 0.236850i | ||||
\(300\) | 0.00384422 | + | 0.00665838i | 0.000221946 | + | 0.000384422i | ||||
\(301\) | 7.55455 | + | 13.0849i | 0.435437 | + | 0.754199i | ||||
\(302\) | −16.2391 | −0.934457 | ||||||||
\(303\) | 1.08167 | − | 1.87351i | 0.0621403 | − | 0.107630i | ||||
\(304\) | −12.3959 | + | 21.4704i | −0.710956 | + | 1.23141i | ||||
\(305\) | 6.44342 | + | 11.1603i | 0.368949 | + | 0.639039i | ||||
\(306\) | 6.69478 | 0.382715 | ||||||||
\(307\) | 13.7596 | − | 23.8323i | 0.785301 | − | 1.36018i | −0.143518 | − | 0.989648i | \(-0.545841\pi\) |
0.928819 | − | 0.370534i | \(-0.120825\pi\) | |||||||
\(308\) | 1.36441 | 0.0777445 | ||||||||
\(309\) | −1.19851 | −0.0681807 | ||||||||
\(310\) | −14.0409 | − | 8.56421i | −0.797468 | − | 0.486415i | ||||
\(311\) | 24.0241 | 1.36228 | 0.681140 | − | 0.732154i | \(-0.261485\pi\) | ||||
0.681140 | + | 0.732154i | \(0.261485\pi\) | |||||||
\(312\) | 0.547216 | 0.0309800 | ||||||||
\(313\) | −5.24145 | + | 9.07846i | −0.296264 | + | 0.513145i | −0.975278 | − | 0.220981i | \(-0.929074\pi\) |
0.679014 | + | 0.734125i | \(0.262408\pi\) | |||||||
\(314\) | −12.4730 | −0.703890 | ||||||||
\(315\) | −9.29379 | − | 16.0973i | −0.523646 | − | 0.906981i | ||||
\(316\) | −1.09908 | + | 1.90366i | −0.0618280 | + | 0.107089i | ||||
\(317\) | −15.8580 | + | 27.4669i | −0.890676 | + | 1.54270i | −0.0516094 | + | 0.998667i | \(0.516435\pi\) |
−0.839067 | + | 0.544029i | \(0.816898\pi\) | |||||||
\(318\) | 3.00922 | 0.168749 | ||||||||
\(319\) | −2.85014 | − | 4.93658i | −0.159577 | − | 0.276395i | ||||
\(320\) | 9.29447 | + | 16.0985i | 0.519576 | + | 0.899933i | ||||
\(321\) | 1.27798 | + | 2.21353i | 0.0713299 | + | 0.123547i | ||||
\(322\) | −9.23035 | + | 15.9874i | −0.514387 | + | 0.890945i | ||||
\(323\) | −5.64892 | − | 9.78422i | −0.314314 | − | 0.544409i | ||||
\(324\) | 0.697391 | − | 1.20792i | 0.0387440 | − | 0.0671065i | ||||
\(325\) | −0.256430 | −0.0142242 | ||||||||
\(326\) | 0.444677 | 0.0246284 | ||||||||
\(327\) | −0.568899 | + | 0.985362i | −0.0314602 | + | 0.0544907i | ||||
\(328\) | 1.64584 | + | 2.85068i | 0.0908763 | + | 0.157402i | ||||
\(329\) | 12.1422 | − | 21.0309i | 0.669420 | − | 1.15947i | ||||
\(330\) | 0.814358 | + | 1.41051i | 0.0448289 | + | 0.0776460i | ||||
\(331\) | −4.08321 | − | 7.07233i | −0.224433 | − | 0.388730i | 0.731716 | − | 0.681610i | \(-0.238720\pi\) |
−0.956149 | + | 0.292880i | \(0.905386\pi\) | |||||||
\(332\) | 0.627987 | + | 1.08771i | 0.0344653 | + | 0.0596956i | ||||
\(333\) | −0.985940 | −0.0540292 | ||||||||
\(334\) | 0.351820 | − | 0.609370i | 0.0192507 | − | 0.0333433i | ||||
\(335\) | 12.4964 | − | 21.6444i | 0.682753 | − | 1.18256i | ||||
\(336\) | −0.981773 | − | 1.70048i | −0.0535601 | − | 0.0927688i | ||||
\(337\) | −19.9688 | −1.08777 | −0.543884 | − | 0.839160i | \(-0.683047\pi\) | ||||
−0.543884 | + | 0.839160i | \(0.683047\pi\) | |||||||
\(338\) | −0.678131 | + | 1.17456i | −0.0368855 | + | 0.0638875i | ||||
\(339\) | 1.11136 | 0.0603609 | ||||||||
\(340\) | −0.582132 | −0.0315705 | ||||||||
\(341\) | −14.0345 | − | 8.56032i | −0.760010 | − | 0.463567i | ||||
\(342\) | 27.2918 | 1.47577 | ||||||||
\(343\) | −16.4512 | −0.888283 | ||||||||
\(344\) | −7.69113 | + | 13.3214i | −0.414678 | + | 0.718243i | ||||
\(345\) | 1.92345 | 0.103555 | ||||||||
\(346\) | −4.80966 | − | 8.33058i | −0.258569 | − | 0.447855i | ||||
\(347\) | −7.61368 | + | 13.1873i | −0.408724 | + | 0.707930i | −0.994747 | − | 0.102364i | \(-0.967359\pi\) |
0.586023 | + | 0.810294i | \(0.300693\pi\) | |||||||
\(348\) | 0.0289425 | − | 0.0501299i | 0.00155148 | − | 0.00268725i | ||||
\(349\) | −26.7180 | −1.43018 | −0.715092 | − | 0.699030i | \(-0.753615\pi\) | ||||
−0.715092 | + | 0.699030i | \(0.753615\pi\) | |||||||
\(350\) | 0.500506 | + | 0.866902i | 0.0267532 | + | 0.0463379i | ||||
\(351\) | −0.556980 | − | 0.964718i | −0.0297294 | − | 0.0514929i | ||||
\(352\) | 1.33747 | + | 2.31656i | 0.0712871 | + | 0.123473i | ||||
\(353\) | 9.27936 | − | 16.0723i | 0.493891 | − | 0.855443i | −0.506085 | − | 0.862484i | \(-0.668908\pi\) |
0.999975 | + | 0.00704033i | \(0.00224102\pi\) | |||||||
\(354\) | −0.818250 | − | 1.41725i | −0.0434895 | − | 0.0753260i | ||||
\(355\) | 0.475132 | − | 0.822952i | 0.0252174 | − | 0.0436778i | ||||
\(356\) | −0.715284 | −0.0379100 | ||||||||
\(357\) | 0.894802 | 0.0473579 | ||||||||
\(358\) | −13.4537 | + | 23.3026i | −0.711052 | + | 1.23158i | ||||
\(359\) | −6.03482 | − | 10.4526i | −0.318505 | − | 0.551668i | 0.661671 | − | 0.749794i | \(-0.269848\pi\) |
−0.980176 | + | 0.198127i | \(0.936514\pi\) | |||||||
\(360\) | 9.46181 | − | 16.3883i | 0.498681 | − | 0.863742i | ||||
\(361\) | −13.5283 | − | 23.4317i | −0.712017 | − | 1.23325i | ||||
\(362\) | 9.26678 | + | 16.0505i | 0.487051 | + | 0.843597i | ||||
\(363\) | −0.213113 | − | 0.369123i | −0.0111855 | − | 0.0193739i | ||||
\(364\) | −0.462111 | −0.0242212 | ||||||||
\(365\) | −5.08559 | + | 8.80850i | −0.266192 | + | 0.461058i | ||||
\(366\) | 0.749304 | − | 1.29783i | 0.0391667 | − | 0.0678388i | ||||
\(367\) | −17.9960 | − | 31.1699i | −0.939382 | − | 1.62706i | −0.766628 | − | 0.642092i | \(-0.778067\pi\) |
−0.172754 | − | 0.984965i | \(-0.555267\pi\) | |||||||
\(368\) | −17.2759 | −0.900569 | ||||||||
\(369\) | 1.66541 | − | 2.88458i | 0.0866979 | − | 0.150165i | ||||
\(370\) | −0.982208 | −0.0510626 | ||||||||
\(371\) | −34.1969 | −1.77542 | ||||||||
\(372\) | 0.00402341 | − | 0.166888i | 0.000208604 | − | 0.00865272i | ||||
\(373\) | 31.3883 | 1.62523 | 0.812613 | − | 0.582803i | \(-0.198044\pi\) | ||||
0.812613 | + | 0.582803i | \(0.198044\pi\) | |||||||
\(374\) | 6.66641 | 0.344712 | ||||||||
\(375\) | 1.06897 | − | 1.85150i | 0.0552012 | − | 0.0956112i | ||||
\(376\) | 24.7234 | 1.27501 | ||||||||
\(377\) | 0.965310 | + | 1.67197i | 0.0497160 | + | 0.0861106i | ||||
\(378\) | −2.17426 | + | 3.76592i | −0.111832 | + | 0.193698i | ||||
\(379\) | −13.8879 | + | 24.0546i | −0.713375 | + | 1.23560i | 0.250208 | + | 0.968192i | \(0.419501\pi\) |
−0.963583 | + | 0.267409i | \(0.913832\pi\) | |||||||
\(380\) | −2.37311 | −0.121738 | ||||||||
\(381\) | 0.733498 | + | 1.27046i | 0.0375782 | + | 0.0650874i | ||||
\(382\) | −16.3366 | − | 28.2958i | −0.835851 | − | 1.44774i | ||||
\(383\) | −5.60038 | − | 9.70015i | −0.286166 | − | 0.495654i | 0.686725 | − | 0.726917i | \(-0.259048\pi\) |
−0.972891 | + | 0.231263i | \(0.925714\pi\) | |||||||
\(384\) | 0.911665 | − | 1.57905i | 0.0465232 | − | 0.0805805i | ||||
\(385\) | −9.25441 | − | 16.0291i | −0.471648 | − | 0.816919i | ||||
\(386\) | −0.135111 | + | 0.234020i | −0.00687699 | + | 0.0119113i | ||||
\(387\) | 15.5652 | 0.791223 | ||||||||
\(388\) | 0.163764 | 0.00831387 | ||||||||
\(389\) | 17.3718 | − | 30.0888i | 0.880784 | − | 1.52556i | 0.0303128 | − | 0.999540i | \(-0.490350\pi\) |
0.850471 | − | 0.526022i | \(-0.176317\pi\) | |||||||
\(390\) | −0.275814 | − | 0.477724i | −0.0139664 | − | 0.0241905i | ||||
\(391\) | 3.93638 | − | 6.81801i | 0.199071 | − | 0.344802i | ||||
\(392\) | 1.88164 | + | 3.25909i | 0.0950371 | + | 0.164609i | ||||
\(393\) | −1.16349 | − | 2.01522i | −0.0586901 | − | 0.101654i | ||||
\(394\) | −0.450138 | − | 0.779661i | −0.0226776 | − | 0.0392788i | ||||
\(395\) | 29.8189 | 1.50035 | ||||||||
\(396\) | 0.702799 | − | 1.21728i | 0.0353170 | − | 0.0611708i | ||||
\(397\) | −3.55656 | + | 6.16015i | −0.178499 | + | 0.309169i | −0.941367 | − | 0.337386i | \(-0.890457\pi\) |
0.762868 | + | 0.646555i | \(0.223791\pi\) | |||||||
\(398\) | 11.6723 | + | 20.2170i | 0.585078 | + | 1.01338i | ||||
\(399\) | 3.64774 | 0.182615 | ||||||||
\(400\) | −0.468384 | + | 0.811265i | −0.0234192 | + | 0.0405632i | ||||
\(401\) | 8.14388 | 0.406686 | 0.203343 | − | 0.979108i | \(-0.434819\pi\) | ||||
0.203343 | + | 0.979108i | \(0.434819\pi\) | |||||||
\(402\) | −2.90641 | −0.144959 | ||||||||
\(403\) | 4.75333 | + | 2.89929i | 0.236780 | + | 0.144424i | ||||
\(404\) | −1.85992 | −0.0925344 | ||||||||
\(405\) | −18.9208 | −0.940183 | ||||||||
\(406\) | 3.76823 | − | 6.52677i | 0.187014 | − | 0.323918i | ||||
\(407\) | −0.981762 | −0.0486641 | ||||||||
\(408\) | 0.455490 | + | 0.788931i | 0.0225501 | + | 0.0390579i | ||||
\(409\) | 13.7112 | − | 23.7485i | 0.677975 | − | 1.17429i | −0.297615 | − | 0.954686i | \(-0.596191\pi\) |
0.975590 | − | 0.219601i | \(-0.0704756\pi\) | |||||||
\(410\) | 1.65911 | − | 2.87366i | 0.0819376 | − | 0.141920i | ||||
\(411\) | −1.25010 | −0.0616628 | ||||||||
\(412\) | 0.515204 | + | 0.892360i | 0.0253823 | + | 0.0439634i | ||||
\(413\) | 9.29864 | + | 16.1057i | 0.457556 | + | 0.792510i | ||||
\(414\) | 9.50899 | + | 16.4700i | 0.467341 | + | 0.809459i | ||||
\(415\) | 8.51892 | − | 14.7552i | 0.418177 | − | 0.724304i | ||||
\(416\) | −0.452985 | − | 0.784593i | −0.0222094 | − | 0.0384678i | ||||
\(417\) | −0.146948 | + | 0.254522i | −0.00719610 | + | 0.0124640i | ||||
\(418\) | 27.1762 | 1.32923 | ||||||||
\(419\) | −9.57344 | −0.467693 | −0.233847 | − | 0.972273i | \(-0.575131\pi\) | ||||
−0.233847 | + | 0.972273i | \(0.575131\pi\) | |||||||
\(420\) | 0.0939765 | − | 0.162772i | 0.00458558 | − | 0.00794247i | ||||
\(421\) | −11.7265 | − | 20.3108i | −0.571513 | − | 0.989890i | −0.996411 | − | 0.0846482i | \(-0.973023\pi\) |
0.424898 | − | 0.905241i | \(-0.360310\pi\) | |||||||
\(422\) | −12.4397 | + | 21.5462i | −0.605555 | + | 1.04885i | ||||
\(423\) | −12.5087 | − | 21.6657i | −0.608194 | − | 1.05342i | ||||
\(424\) | −17.4076 | − | 30.1508i | −0.845387 | − | 1.46425i | ||||
\(425\) | −0.213446 | − | 0.369699i | −0.0103537 | − | 0.0179331i | ||||
\(426\) | −0.110506 | −0.00535402 | ||||||||
\(427\) | −8.51513 | + | 14.7486i | −0.412076 | + | 0.713736i | ||||
\(428\) | 1.09874 | − | 1.90307i | 0.0531094 | − | 0.0919881i | ||||
\(429\) | −0.275689 | − | 0.477507i | −0.0133104 | − | 0.0230542i | ||||
\(430\) | 15.5063 | 0.747779 | ||||||||
\(431\) | 10.4062 | − | 18.0241i | 0.501251 | − | 0.868192i | −0.498748 | − | 0.866747i | \(-0.666207\pi\) |
0.999999 | − | 0.00144499i | \(-0.000459954\pi\) | |||||||
\(432\) | −4.06943 | −0.195790 | ||||||||
\(433\) | −30.7389 | −1.47722 | −0.738609 | − | 0.674134i | \(-0.764517\pi\) | ||||
−0.738609 | + | 0.674134i | \(0.764517\pi\) | |||||||
\(434\) | 0.523837 | − | 21.7283i | 0.0251450 | − | 1.04299i | ||||
\(435\) | −0.785235 | −0.0376492 | ||||||||
\(436\) | 0.978215 | 0.0468480 | ||||||||
\(437\) | 16.0470 | − | 27.7942i | 0.767632 | − | 1.32958i | ||||
\(438\) | 1.18280 | 0.0565165 | ||||||||
\(439\) | −0.576157 | − | 0.997933i | −0.0274985 | − | 0.0476287i | 0.851949 | − | 0.523625i | \(-0.175421\pi\) |
−0.879447 | + | 0.475997i | \(0.842087\pi\) | |||||||
\(440\) | 9.42171 | − | 16.3189i | 0.449163 | − | 0.777972i | ||||
\(441\) | 1.90402 | − | 3.29785i | 0.0906675 | − | 0.157041i | ||||
\(442\) | −2.25784 | −0.107394 | ||||||||
\(443\) | −9.80273 | − | 16.9788i | −0.465742 | − | 0.806689i | 0.533493 | − | 0.845805i | \(-0.320879\pi\) |
−0.999235 | + | 0.0391161i | \(0.987546\pi\) | |||||||
\(444\) | −0.00498479 | − | 0.00863391i | −0.000236568 | − | 0.000409747i | ||||
\(445\) | 4.85157 | + | 8.40316i | 0.229986 | + | 0.398348i | ||||
\(446\) | −8.83387 | + | 15.3007i | −0.418296 | + | 0.724509i | ||||
\(447\) | −1.34515 | − | 2.32987i | −0.0636234 | − | 0.110199i | ||||
\(448\) | −12.2828 | + | 21.2745i | −0.580310 | + | 1.00513i | ||||
\(449\) | −2.59800 | −0.122607 | −0.0613035 | − | 0.998119i | \(-0.519526\pi\) | ||||
−0.0613035 | + | 0.998119i | \(0.519526\pi\) | |||||||
\(450\) | 1.03123 | 0.0486126 | ||||||||
\(451\) | 1.65835 | − | 2.87236i | 0.0780889 | − | 0.135254i | ||||
\(452\) | −0.477743 | − | 0.827476i | −0.0224712 | − | 0.0389212i | ||||
\(453\) | −1.11799 | + | 1.93642i | −0.0525279 | + | 0.0909811i | ||||
\(454\) | −15.1866 | − | 26.3039i | −0.712740 | − | 1.23450i | ||||
\(455\) | 3.13437 | + | 5.42888i | 0.146941 | + | 0.254510i | ||||
\(456\) | 1.85684 | + | 3.21615i | 0.0869546 | + | 0.150610i | ||||
\(457\) | −36.8522 | −1.72387 | −0.861936 | − | 0.507018i | \(-0.830748\pi\) | ||||
−0.861936 | + | 0.507018i | \(0.830748\pi\) | |||||||
\(458\) | −17.7199 | + | 30.6917i | −0.827995 | + | 1.43413i | ||||
\(459\) | 0.927234 | − | 1.60602i | 0.0432796 | − | 0.0749624i | ||||
\(460\) | −0.826836 | − | 1.43212i | −0.0385514 | − | 0.0667730i | ||||
\(461\) | 31.8251 | 1.48224 | 0.741121 | − | 0.671371i | \(-0.234294\pi\) | ||||
0.741121 | + | 0.671371i | \(0.234294\pi\) | |||||||
\(462\) | −1.07619 | + | 1.86402i | −0.0500690 | + | 0.0867220i | ||||
\(463\) | −6.89236 | −0.320315 | −0.160158 | − | 0.987091i | \(-0.551200\pi\) | ||||
−0.160158 | + | 0.987091i | \(0.551200\pi\) | |||||||
\(464\) | 7.05278 | 0.327417 | ||||||||
\(465\) | −1.98789 | + | 1.08468i | −0.0921860 | + | 0.0503010i | ||||
\(466\) | 14.6257 | 0.677524 | ||||||||
\(467\) | −32.8087 | −1.51821 | −0.759104 | − | 0.650970i | \(-0.774362\pi\) | ||||
−0.759104 | + | 0.650970i | \(0.774362\pi\) | |||||||
\(468\) | −0.238030 | + | 0.412281i | −0.0110030 | + | 0.0190577i | ||||
\(469\) | 33.0286 | 1.52512 | ||||||||
\(470\) | −12.4614 | − | 21.5837i | −0.574800 | − | 0.995582i | ||||
\(471\) | −0.858710 | + | 1.48733i | −0.0395673 | + | 0.0685325i | ||||
\(472\) | −9.46674 | + | 16.3969i | −0.435742 | + | 0.754728i | ||||
\(473\) | 15.4992 | 0.712655 | ||||||||
\(474\) | −1.73382 | − | 3.00306i | −0.0796369 | − | 0.137935i | ||||
\(475\) | −0.870131 | − | 1.50711i | −0.0399244 | − | 0.0691510i | ||||
\(476\) | −0.384650 | − | 0.666234i | −0.0176304 | − | 0.0305368i | ||||
\(477\) | −17.6146 | + | 30.5094i | −0.806518 | + | 1.39693i | ||||
\(478\) | 14.9513 | + | 25.8964i | 0.683855 | + | 1.18447i | ||||
\(479\) | −9.12652 | + | 15.8076i | −0.417001 | + | 0.722267i | −0.995636 | − | 0.0933193i | \(-0.970252\pi\) |
0.578635 | + | 0.815587i | \(0.303586\pi\) | |||||||
\(480\) | 0.368482 | 0.0168188 | ||||||||
\(481\) | 0.332512 | 0.0151612 | ||||||||
\(482\) | −6.10090 | + | 10.5671i | −0.277888 | + | 0.481317i | ||||
\(483\) | 1.27094 | + | 2.20133i | 0.0578298 | + | 0.100164i | ||||
\(484\) | −0.183223 | + | 0.317351i | −0.00832831 | + | 0.0144250i | ||||
\(485\) | −1.11077 | − | 1.92390i | −0.0504373 | − | 0.0873600i | ||||
\(486\) | 3.36638 | + | 5.83075i | 0.152702 | + | 0.264488i | ||||
\(487\) | 8.01984 | + | 13.8908i | 0.363414 | + | 0.629451i | 0.988520 | − | 0.151088i | \(-0.0482778\pi\) |
−0.625106 | + | 0.780539i | \(0.714944\pi\) | |||||||
\(488\) | −17.3381 | −0.784861 | ||||||||
\(489\) | 0.0306141 | − | 0.0530251i | 0.00138442 | − | 0.00239788i | ||||
\(490\) | 1.89681 | − | 3.28537i | 0.0856891 | − | 0.148418i | ||||
\(491\) | −6.84390 | − | 11.8540i | −0.308861 | − | 0.534962i | 0.669253 | − | 0.743035i | \(-0.266614\pi\) |
−0.978113 | + | 0.208072i | \(0.933281\pi\) | |||||||
\(492\) | 0.0336805 | 0.00151843 | ||||||||
\(493\) | −1.60700 | + | 2.78341i | −0.0723757 | + | 0.125358i | ||||
\(494\) | −9.20428 | −0.414120 | ||||||||
\(495\) | −19.0675 | −0.857022 | ||||||||
\(496\) | 17.8547 | − | 9.74235i | 0.801699 | − | 0.437444i | ||||
\(497\) | 1.25579 | 0.0563301 | ||||||||
\(498\) | −1.98132 | −0.0887853 | ||||||||
\(499\) | −3.55686 | + | 6.16065i | −0.159227 | + | 0.275789i | −0.934590 | − | 0.355727i | \(-0.884233\pi\) |
0.775363 | + | 0.631515i | \(0.217567\pi\) | |||||||
\(500\) | −1.83807 | −0.0822011 | ||||||||
\(501\) | −0.0484426 | − | 0.0839050i | −0.00216426 | − | 0.00374860i | ||||
\(502\) | 19.6595 | − | 34.0512i | 0.877445 | − | 1.51978i | ||||
\(503\) | 18.5050 | − | 32.0516i | 0.825097 | − | 1.42911i | −0.0767478 | − | 0.997051i | \(-0.524454\pi\) |
0.901845 | − | 0.432060i | \(-0.142213\pi\) | |||||||
\(504\) | 25.0080 | 1.11394 | ||||||||
\(505\) | 12.6153 | + | 21.8503i | 0.561373 | + | 0.972327i | ||||
\(506\) | 9.46869 | + | 16.4002i | 0.420934 | + | 0.729080i | ||||
\(507\) | 0.0933728 | + | 0.161726i | 0.00414683 | + | 0.00718252i | ||||
\(508\) | 0.630620 | − | 1.09227i | 0.0279792 | − | 0.0484615i | ||||
\(509\) | 15.0910 | + | 26.1384i | 0.668896 | + | 1.15856i | 0.978213 | + | 0.207603i | \(0.0665663\pi\) |
−0.309317 | + | 0.950959i | \(0.600100\pi\) | |||||||
\(510\) | 0.459162 | − | 0.795292i | 0.0203320 | − | 0.0352161i | ||||
\(511\) | −13.4414 | −0.594614 | ||||||||
\(512\) | −24.7189 | −1.09243 | ||||||||
\(513\) | 3.77995 | − | 6.54707i | 0.166889 | − | 0.289060i | ||||
\(514\) | −11.7807 | − | 20.4047i | −0.519623 | − | 0.900014i | ||||
\(515\) | 6.98897 | − | 12.1052i | 0.307971 | − | 0.533421i | ||||
\(516\) | 0.0786957 | + | 0.136305i | 0.00346438 | + | 0.00600049i | ||||
\(517\) | −12.4557 | − | 21.5739i | −0.547801 | − | 0.948818i | ||||
\(518\) | −0.649005 | − | 1.12411i | −0.0285157 | − | 0.0493906i | ||||
\(519\) | −1.32450 | −0.0581390 | ||||||||
\(520\) | −3.19103 | + | 5.52703i | −0.139936 | + | 0.242376i | ||||
\(521\) | 1.91968 | − | 3.32498i | 0.0841025 | − | 0.145670i | −0.820906 | − | 0.571063i | \(-0.806531\pi\) |
0.905008 | + | 0.425394i | \(0.139864\pi\) | |||||||
\(522\) | −3.88198 | − | 6.72379i | −0.169910 | − | 0.294292i | ||||
\(523\) | 38.3566 | 1.67722 | 0.838609 | − | 0.544734i | \(-0.183370\pi\) | ||||
0.838609 | + | 0.544734i | \(0.183370\pi\) | |||||||
\(524\) | −1.00030 | + | 1.73257i | −0.0436983 | + | 0.0756876i | ||||
\(525\) | 0.137831 | 0.00601543 | ||||||||
\(526\) | −10.2981 | −0.449018 | ||||||||
\(527\) | −0.223396 | + | 9.26625i | −0.00973127 | + | 0.403644i | ||||
\(528\) | −2.01425 | −0.0876588 | ||||||||
\(529\) | −0.635718 | −0.0276399 | ||||||||
\(530\) | −17.5479 | + | 30.3939i | −0.762234 | + | 1.32023i | ||||
\(531\) | 19.1587 | 0.831415 | ||||||||
\(532\) | −1.56806 | − | 2.71596i | −0.0679840 | − | 0.117752i | ||||
\(533\) | −0.561667 | + | 0.972836i | −0.0243285 | + | 0.0421382i | ||||
\(534\) | 0.564187 | − | 0.977201i | 0.0244148 | − | 0.0422876i | ||||
\(535\) | −29.8096 | −1.28878 | ||||||||
\(536\) | 16.8129 | + | 29.1207i | 0.726205 | + | 1.25782i | ||||
\(537\) | 1.85246 | + | 3.20856i | 0.0799397 | + | 0.138460i | ||||
\(538\) | −17.3557 | − | 30.0610i | −0.748259 | − | 1.29602i | ||||
\(539\) | 1.89595 | − | 3.28388i | 0.0816642 | − | 0.141447i | ||||
\(540\) | −0.194765 | − | 0.337344i | −0.00838137 | − | 0.0145170i | ||||
\(541\) | −12.8613 | + | 22.2765i | −0.552952 | + | 0.957741i | 0.445108 | + | 0.895477i | \(0.353165\pi\) |
−0.998060 | + | 0.0622638i | \(0.980168\pi\) | |||||||
\(542\) | −22.5784 | −0.969826 | ||||||||
\(543\) | 2.55191 | 0.109513 | ||||||||
\(544\) | 0.754108 | − | 1.30615i | 0.0323321 | − | 0.0560008i | ||||
\(545\) | −6.63495 | − | 11.4921i | −0.284210 | − | 0.492266i | ||||
\(546\) | 0.364495 | − | 0.631323i | 0.0155989 | − | 0.0270181i | ||||
\(547\) | 2.50748 | + | 4.34309i | 0.107212 | + | 0.185697i | 0.914640 | − | 0.404270i | \(-0.132474\pi\) |
−0.807428 | + | 0.589967i | \(0.799141\pi\) | |||||||
\(548\) | 0.537382 | + | 0.930773i | 0.0229558 | + | 0.0397606i | ||||
\(549\) | 8.77217 | + | 15.1938i | 0.374387 | + | 0.648457i | ||||
\(550\) | 1.02686 | 0.0437854 | ||||||||
\(551\) | −6.55108 | + | 11.3468i | −0.279085 | + | 0.483390i | ||||
\(552\) | −1.29392 | + | 2.24113i | −0.0550728 | + | 0.0953888i | ||||
\(553\) | 19.7032 | + | 34.1269i | 0.837865 | + | 1.45123i | ||||
\(554\) | −9.99883 | −0.424810 | ||||||||
\(555\) | −0.0676208 | + | 0.117123i | −0.00287034 | + | 0.00497158i | ||||
\(556\) | 0.252676 | 0.0107158 | ||||||||
\(557\) | 0.0641080 | 0.00271634 | 0.00135817 | − | 0.999999i | \(-0.499568\pi\) | ||||
0.00135817 | + | 0.999999i | \(0.499568\pi\) | |||||||
\(558\) | −19.1155 | − | 11.6594i | −0.809222 | − | 0.493584i | ||||
\(559\) | −5.24942 | −0.222027 | ||||||||
\(560\) | 22.9004 | 0.967719 | ||||||||
\(561\) | 0.458953 | − | 0.794930i | 0.0193770 | − | 0.0335620i | ||||
\(562\) | 20.5697 | 0.867682 | ||||||||
\(563\) | 3.22100 | + | 5.57894i | 0.135749 | + | 0.235124i | 0.925883 | − | 0.377809i | \(-0.123323\pi\) |
−0.790134 | + | 0.612934i | \(0.789989\pi\) | |||||||
\(564\) | 0.126485 | − | 0.219078i | 0.00532597 | − | 0.00922486i | ||||
\(565\) | −6.48079 | + | 11.2251i | −0.272649 | + | 0.472242i | ||||
\(566\) | 27.7715 | 1.16732 | ||||||||
\(567\) | −12.5021 | − | 21.6544i | −0.525041 | − | 0.909397i | ||||
\(568\) | 0.639249 | + | 1.10721i | 0.0268223 | + | 0.0464575i | ||||
\(569\) | 6.00352 | + | 10.3984i | 0.251680 | + | 0.435923i | 0.963989 | − | 0.265943i | \(-0.0856835\pi\) |
−0.712308 | + | 0.701867i | \(0.752350\pi\) | |||||||
\(570\) | 1.87181 | − | 3.24208i | 0.0784017 | − | 0.135796i | ||||
\(571\) | 18.8128 | + | 32.5848i | 0.787293 | + | 1.36363i | 0.927620 | + | 0.373526i | \(0.121851\pi\) |
−0.140327 | + | 0.990105i | \(0.544815\pi\) | |||||||
\(572\) | −0.237022 | + | 0.410533i | −0.00991037 | + | 0.0171653i | ||||
\(573\) | −4.49881 | −0.187940 | ||||||||
\(574\) | 4.38510 | 0.183031 | ||||||||
\(575\) | 0.606340 | − | 1.05021i | 0.0252861 | − | 0.0437968i | ||||
\(576\) | 12.6536 | + | 21.9167i | 0.527234 | + | 0.913197i | ||||
\(577\) | −4.10675 | + | 7.11310i | −0.170966 | + | 0.296122i | −0.938758 | − | 0.344577i | \(-0.888022\pi\) |
0.767792 | + | 0.640700i | \(0.221356\pi\) | |||||||
\(578\) | 9.64886 | + | 16.7123i | 0.401340 | + | 0.695140i | ||||
\(579\) | 0.0186037 | + | 0.0322225i | 0.000773142 | + | 0.00133912i | ||||
\(580\) | 0.337550 | + | 0.584655i | 0.0140160 | + | 0.0242765i | ||||
\(581\) | 22.5159 | 0.934116 | ||||||||
\(582\) | −0.129171 | + | 0.223730i | −0.00535430 | + | 0.00927391i | ||||
\(583\) | −17.5400 | + | 30.3801i | −0.726431 | + | 1.25822i | ||||
\(584\) | −6.84222 | − | 11.8511i | −0.283133 | − | 0.490401i | ||||
\(585\) | 6.45797 | 0.267004 | ||||||||
\(586\) | −11.6509 | + | 20.1799i | −0.481294 | + | 0.833625i | ||||
\(587\) | 8.54422 | 0.352658 | 0.176329 | − | 0.984331i | \(-0.443578\pi\) | ||||
0.176329 | + | 0.984331i | \(0.443578\pi\) | |||||||
\(588\) | 0.0385059 | 0.00158796 | ||||||||
\(589\) | −0.910692 | + | 37.7747i | −0.0375244 | + | 1.55648i | ||||
\(590\) | 19.0862 | 0.785764 | ||||||||
\(591\) | −0.123960 | −0.00509904 | ||||||||
\(592\) | 0.607353 | − | 1.05197i | 0.0249620 | − | 0.0432355i | ||||
\(593\) | 20.7398 | 0.851681 | 0.425840 | − | 0.904798i | \(-0.359978\pi\) | ||||
0.425840 | + | 0.904798i | \(0.359978\pi\) | |||||||
\(594\) | 2.23040 | + | 3.86316i | 0.0915143 | + | 0.158507i | ||||
\(595\) | −5.21794 | + | 9.03774i | −0.213915 | + | 0.370511i | ||||
\(596\) | −1.15648 | + | 2.00309i | −0.0473714 | + | 0.0820497i | ||||
\(597\) | 3.21434 | 0.131554 | ||||||||
\(598\) | −3.20694 | − | 5.55459i | −0.131142 | − | 0.227144i | ||||
\(599\) | −3.84848 | − | 6.66576i | −0.157245 | − | 0.272356i | 0.776630 | − | 0.629958i | \(-0.216928\pi\) |
−0.933874 | + | 0.357602i | \(0.883594\pi\) | |||||||
\(600\) | 0.0701613 | + | 0.121523i | 0.00286432 | + | 0.00496115i | ||||
\(601\) | 23.1095 | − | 40.0269i | 0.942658 | − | 1.63273i | 0.182285 | − | 0.983246i | \(-0.441651\pi\) |
0.760374 | − | 0.649486i | \(-0.225016\pi\) | |||||||
\(602\) | 10.2459 | + | 17.7465i | 0.417594 | + | 0.723293i | ||||
\(603\) | 17.0128 | − | 29.4671i | 0.692816 | − | 1.19999i | ||||
\(604\) | 1.92238 | 0.0782204 | ||||||||
\(605\) | 4.97099 | 0.202099 | ||||||||
\(606\) | 1.46703 | − | 2.54097i | 0.0595940 | − | 0.103220i | ||||
\(607\) | −3.63460 | − | 6.29531i | −0.147524 | − | 0.255519i | 0.782788 | − | 0.622289i | \(-0.213797\pi\) |
−0.930312 | + | 0.366770i | \(0.880464\pi\) | |||||||
\(608\) | 3.07419 | − | 5.32464i | 0.124675 | − | 0.215943i | ||||
\(609\) | −0.518853 | − | 0.898680i | −0.0210250 | − | 0.0364163i | ||||
\(610\) | 8.73897 | + | 15.1363i | 0.353830 | + | 0.612852i | ||||
\(611\) | 4.21861 | + | 7.30684i | 0.170667 | + | 0.295603i | ||||
\(612\) | −0.792523 | −0.0320358 | ||||||||
\(613\) | −21.2675 | + | 36.8364i | −0.858985 | + | 1.48781i | 0.0139125 | + | 0.999903i | \(0.495571\pi\) |
−0.872898 | + | 0.487903i | \(0.837762\pi\) | |||||||
\(614\) | 18.6616 | − | 32.3229i | 0.753121 | − | 1.30444i | ||||
\(615\) | −0.228445 | − | 0.395678i | −0.00921179 | − | 0.0159553i | ||||
\(616\) | 24.9020 | 1.00333 | ||||||||
\(617\) | −0.984131 | + | 1.70456i | −0.0396196 | + | 0.0686232i | −0.885155 | − | 0.465296i | \(-0.845948\pi\) |
0.845536 | + | 0.533919i | \(0.179281\pi\) | |||||||
\(618\) | −1.62549 | −0.0653868 | ||||||||
\(619\) | 43.9663 | 1.76716 | 0.883578 | − | 0.468285i | \(-0.155128\pi\) | ||||
0.883578 | + | 0.468285i | \(0.155128\pi\) | |||||||
\(620\) | 1.66215 | + | 1.01383i | 0.0667535 | + | 0.0407162i | ||||
\(621\) | 5.26802 | 0.211398 | ||||||||
\(622\) | 32.5829 | 1.30646 | ||||||||
\(623\) | −6.41146 | + | 11.1050i | −0.256870 | + | 0.444911i | ||||
\(624\) | 0.682203 | 0.0273100 | ||||||||
\(625\) | 11.8260 | + | 20.4833i | 0.473042 | + | 0.819333i | ||||
\(626\) | −7.10878 | + | 12.3128i | −0.284124 | + | 0.492117i | ||||
\(627\) | 1.87096 | − | 3.24060i | 0.0747191 | − | 0.129417i | ||||
\(628\) | 1.47654 | 0.0589204 | ||||||||
\(629\) | 0.276775 | + | 0.479388i | 0.0110357 | + | 0.0191145i | ||||
\(630\) | −12.6048 | − | 21.8322i | −0.502188 | − | 0.869815i | ||||
\(631\) | 15.7299 | + | 27.2450i | 0.626197 | + | 1.08461i | 0.988308 | + | 0.152470i | \(0.0487228\pi\) |
−0.362111 | + | 0.932135i | \(0.617944\pi\) | |||||||
\(632\) | −20.0594 | + | 34.7439i | −0.797920 | + | 1.38204i | ||||
\(633\) | 1.71284 | + | 2.96672i | 0.0680792 | + | 0.117917i | ||||
\(634\) | −21.5077 | + | 37.2523i | −0.854178 | + | 1.47948i | ||||
\(635\) | −17.1093 | −0.678960 | ||||||||
\(636\) | −0.356229 | −0.0141254 | ||||||||
\(637\) | −0.642137 | + | 1.11221i | −0.0254424 | + | 0.0440675i | ||||
\(638\) | −3.86553 | − | 6.69530i | −0.153038 | − | 0.265069i | ||||
\(639\) | 0.646851 | − | 1.12038i | 0.0255890 | − | 0.0443215i | ||||
\(640\) | 10.6326 | + | 18.4161i | 0.420289 | + | 0.727961i | ||||
\(641\) | 1.03194 | + | 1.78737i | 0.0407592 | + | 0.0705971i | 0.885685 | − | 0.464286i | \(-0.153689\pi\) |
−0.844926 | + | 0.534883i | \(0.820356\pi\) | |||||||
\(642\) | 1.73328 | + | 3.00212i | 0.0684070 | + | 0.118484i | ||||
\(643\) | −15.7954 | −0.622910 | −0.311455 | − | 0.950261i | \(-0.600816\pi\) | ||||
−0.311455 | + | 0.950261i | \(0.600816\pi\) | |||||||
\(644\) | 1.09268 | − | 1.89258i | 0.0430577 | − | 0.0745781i | ||||
\(645\) | 1.06754 | − | 1.84903i | 0.0420344 | − | 0.0728056i | ||||
\(646\) | −7.66142 | − | 13.2700i | −0.301435 | − | 0.522100i | ||||
\(647\) | 9.03423 | 0.355172 | 0.177586 | − | 0.984105i | \(-0.443171\pi\) | ||||
0.177586 | + | 0.984105i | \(0.443171\pi\) | |||||||
\(648\) | 12.7282 | − | 22.0458i | 0.500010 | − | 0.866042i | ||||
\(649\) | 19.0775 | 0.748856 | ||||||||
\(650\) | −0.347786 | −0.0136413 | ||||||||
\(651\) | −2.55491 | − | 1.55836i | −0.100135 | − | 0.0610771i | ||||
\(652\) | −0.0526405 | −0.00206156 | ||||||||
\(653\) | −2.31286 | −0.0905092 | −0.0452546 | − | 0.998975i | \(-0.514410\pi\) | ||||
−0.0452546 | + | 0.998975i | \(0.514410\pi\) | |||||||
\(654\) | −0.771576 | + | 1.33641i | −0.0301710 | + | 0.0522577i | ||||
\(655\) | 27.1390 | 1.06041 | ||||||||
\(656\) | 2.05183 | + | 3.55388i | 0.0801107 | + | 0.138756i | ||||
\(657\) | −6.92360 | + | 11.9920i | −0.270115 | + | 0.467853i | ||||
\(658\) | 16.4680 | − | 28.5234i | 0.641988 | − | 1.11196i | ||||
\(659\) | −13.3775 | −0.521113 | −0.260557 | − | 0.965459i | \(-0.583906\pi\) | ||||
−0.260557 | + | 0.965459i | \(0.583906\pi\) | |||||||
\(660\) | −0.0964031 | − | 0.166975i | −0.00375248 | − | 0.00649949i | ||||
\(661\) | −8.35346 | − | 14.4686i | −0.324912 | − | 0.562764i | 0.656582 | − | 0.754254i | \(-0.272001\pi\) |
−0.981495 | + | 0.191490i | \(0.938668\pi\) | |||||||
\(662\) | −5.53790 | − | 9.59193i | −0.215237 | − | 0.372801i | ||||
\(663\) | −0.155443 | + | 0.269234i | −0.00603689 | + | 0.0104562i | ||||
\(664\) | 11.4615 | + | 19.8518i | 0.444791 | + | 0.770401i | ||||
\(665\) | −21.2714 | + | 36.8431i | −0.824869 | + | 1.42872i | ||||
\(666\) | −1.33719 | −0.0518152 | ||||||||
\(667\) | −9.13008 | −0.353518 | ||||||||
\(668\) | −0.0416482 | + | 0.0721368i | −0.00161142 | + | 0.00279106i | ||||
\(669\) | 1.21635 | + | 2.10677i | 0.0470267 | + | 0.0814526i | ||||
\(670\) | 16.9484 | − | 29.3555i | 0.654775 | − | 1.13410i | ||||
\(671\) | 8.73499 | + | 15.1295i | 0.337211 | + | 0.584066i | ||||
\(672\) | 0.243479 | + | 0.421718i | 0.00939240 | + | 0.0162681i | ||||
\(673\) | −25.4022 | − | 43.9979i | −0.979182 | − | 1.69599i | −0.665380 | − | 0.746505i | \(-0.731730\pi\) |
−0.313803 | − | 0.949488i | \(-0.601603\pi\) | |||||||
\(674\) | −27.0829 | −1.04319 | ||||||||
\(675\) | 0.142826 | − | 0.247383i | 0.00549739 | − | 0.00952176i | ||||
\(676\) | 0.0802766 | − | 0.139043i | 0.00308756 | − | 0.00534782i | ||||
\(677\) | 11.8003 | + | 20.4387i | 0.453523 | + | 0.785524i | 0.998602 | − | 0.0528604i | \(-0.0168338\pi\) |
−0.545079 | + | 0.838384i | \(0.683500\pi\) | |||||||
\(678\) | 1.50730 | 0.0578875 | ||||||||
\(679\) | 1.46790 | − | 2.54248i | 0.0563329 | − | 0.0975715i | ||||
\(680\) | −10.6246 | −0.407433 | ||||||||
\(681\) | −4.18212 | −0.160259 | ||||||||
\(682\) | −19.0344 | − | 11.6100i | −0.728866 | − | 0.444571i | ||||
\(683\) | −46.6744 | −1.78594 | −0.892972 | − | 0.450111i | \(-0.851384\pi\) | ||||
−0.892972 | + | 0.450111i | \(0.851384\pi\) | |||||||
\(684\) | −3.23079 | −0.123532 | ||||||||
\(685\) | 7.28981 | − | 12.6263i | 0.278530 | − | 0.482427i | ||||
\(686\) | −22.3122 | −0.851883 | ||||||||
\(687\) | 2.43987 | + | 4.22598i | 0.0930870 | + | 0.161231i | ||||
\(688\) | −9.58837 | + | 16.6075i | −0.365553 | + | 0.633157i | ||||
\(689\) | 5.94060 | − | 10.2894i | 0.226319 | − | 0.391996i | ||||
\(690\) | 2.60870 | 0.0993115 | ||||||||
\(691\) | −3.43710 | − | 5.95323i | −0.130753 | − | 0.226471i | 0.793214 | − | 0.608943i | \(-0.208406\pi\) |
−0.923967 | + | 0.382472i | \(0.875073\pi\) | |||||||
\(692\) | 0.569364 | + | 0.986168i | 0.0216440 | + | 0.0374885i | ||||
\(693\) | −12.5991 | − | 21.8223i | −0.478600 | − | 0.828959i | ||||
\(694\) | −10.3261 | + | 17.8854i | −0.391975 | + | 0.678921i | ||||
\(695\) | −1.71383 | − | 2.96844i | −0.0650092 | − | 0.112599i | ||||
\(696\) | 0.528233 | − | 0.914927i | 0.0200226 | − | 0.0346802i | ||||
\(697\) | −1.87007 | −0.0708340 | ||||||||
\(698\) | −36.2367 | −1.37158 | ||||||||
\(699\) | 1.00692 | − | 1.74403i | 0.0380851 | − | 0.0659654i | ||||
\(700\) | −0.0592495 | − | 0.102623i | −0.00223942 | − | 0.00387879i | ||||
\(701\) | −21.7566 | + | 37.6835i | −0.821736 | + | 1.42329i | 0.0826530 | + | 0.996578i | \(0.473661\pi\) |
−0.904389 | + | 0.426710i | \(0.859673\pi\) | |||||||
\(702\) | −0.755411 | − | 1.30841i | −0.0285112 | − | 0.0493828i | ||||
\(703\) | 1.12830 | + | 1.95427i | 0.0425545 | + | 0.0737066i | ||||
\(704\) | 12.6000 | + | 21.8238i | 0.474880 | + | 0.822517i | ||||
\(705\) | −3.43164 | −0.129243 | ||||||||
\(706\) | 12.5852 | − | 21.7983i | 0.473652 | − | 0.820389i | ||||
\(707\) | −16.6714 | + | 28.8757i | −0.626992 | + | 1.08598i | ||||
\(708\) | 0.0968638 | + | 0.167773i | 0.00364036 | + | 0.00630530i | ||||
\(709\) | 9.78000 | 0.367296 | 0.183648 | − | 0.982992i | \(-0.441209\pi\) | ||||
0.183648 | + | 0.982992i | \(0.441209\pi\) | |||||||
\(710\) | 0.644403 | − | 1.11614i | 0.0241840 | − | 0.0418879i | ||||
\(711\) | 40.5959 | 1.52247 | ||||||||
\(712\) | −13.0547 | −0.489247 | ||||||||
\(713\) | −23.1135 | + | 12.6118i | −0.865608 | + | 0.472316i | ||||
\(714\) | 1.21359 | 0.0454173 | ||||||||
\(715\) | 6.43060 | 0.240491 | ||||||||
\(716\) | 1.59264 | − | 2.75854i | 0.0595199 | − | 0.103091i | ||||
\(717\) | 4.11732 | 0.153764 | ||||||||
\(718\) | −8.18479 | − | 14.1765i | −0.305454 | − | 0.529061i | ||||
\(719\) | −11.4743 | + | 19.8740i | −0.427918 | + | 0.741175i | −0.996688 | − | 0.0813213i | \(-0.974086\pi\) |
0.568770 | + | 0.822496i | \(0.307419\pi\) | |||||||
\(720\) | 11.7959 | − | 20.4310i | 0.439605 | − | 0.761419i | ||||
\(721\) | 18.4722 | 0.687939 | ||||||||
\(722\) | −18.3480 | − | 31.7796i | −0.682840 | − | 1.18271i | ||||
\(723\) | 0.840041 | + | 1.45499i | 0.0312415 | + | 0.0541118i | ||||
\(724\) | −1.09699 | − | 1.90005i | −0.0407695 | − | 0.0706148i | ||||
\(725\) | −0.247534 | + | 0.428742i | −0.00919319 | + | 0.0159231i | ||||
\(726\) | −0.289037 | − | 0.500628i | −0.0107272 | − | 0.0185800i | ||||
\(727\) | −11.3168 | + | 19.6013i | −0.419717 | + | 0.726972i | −0.995911 | − | 0.0903416i | \(-0.971204\pi\) |
0.576194 | + | 0.817313i | \(0.304537\pi\) | |||||||
\(728\) | −8.43404 | −0.312586 | ||||||||
\(729\) | −25.1350 | −0.930926 | ||||||||
\(730\) | −6.89739 | + | 11.9466i | −0.255284 | + | 0.442165i | ||||
\(731\) | −4.36949 | − | 7.56818i | −0.161611 | − | 0.279919i | ||||
\(732\) | −0.0887020 | + | 0.153636i | −0.00327852 | + | 0.00567856i | ||||
\(733\) | −3.75883 | − | 6.51048i | −0.138835 | − | 0.240470i | 0.788221 | − | 0.615393i | \(-0.211003\pi\) |
−0.927056 | + | 0.374923i | \(0.877669\pi\) | |||||||
\(734\) | −24.4072 | − | 42.2746i | −0.900888 | − | 1.56038i | ||||
\(735\) | −0.261174 | − | 0.452367i | −0.00963356 | − | 0.0166858i | ||||
\(736\) | 4.28441 | 0.157926 | ||||||||
\(737\) | 16.9407 | − | 29.3422i | 0.624019 | − | 1.08083i | ||||
\(738\) | 2.25874 | − | 3.91225i | 0.0831452 | − | 0.144012i | ||||
\(739\) | 17.6005 | + | 30.4849i | 0.647445 | + | 1.12141i | 0.983731 | + | 0.179647i | \(0.0574956\pi\) |
−0.336287 | + | 0.941760i | \(0.609171\pi\) | |||||||
\(740\) | 0.116273 | 0.00427428 | ||||||||
\(741\) | −0.633675 | + | 1.09756i | −0.0232786 | + | 0.0403198i | ||||
\(742\) | −46.3800 | −1.70266 | ||||||||
\(743\) | 17.9335 | 0.657915 | 0.328957 | − | 0.944345i | \(-0.393303\pi\) | ||||
0.328957 | + | 0.944345i | \(0.393303\pi\) | |||||||
\(744\) | 0.0734318 | − | 3.04589i | 0.00269214 | − | 0.111668i | ||||
\(745\) | 31.3764 | 1.14954 | ||||||||
\(746\) | 42.5708 | 1.55863 | ||||||||
\(747\) | 11.5978 | − | 20.0879i | 0.424341 | − | 0.734979i | ||||
\(748\) | −0.789164 | −0.0288547 | ||||||||
\(749\) | −19.6970 | − | 34.1163i | −0.719714 | − | 1.24658i | ||||
\(750\) | 1.44980 | − | 2.51112i | 0.0529391 | − | 0.0916933i | ||||
\(751\) | 15.0065 | − | 25.9921i | 0.547596 | − | 0.948465i | −0.450842 | − | 0.892604i | \(-0.648876\pi\) |
0.998439 | − | 0.0558611i | \(-0.0177904\pi\) | |||||||
\(752\) | 30.8221 | 1.12397 | ||||||||
\(753\) | −2.70694 | − | 4.68856i | −0.0986463 | − | 0.170860i | ||||
\(754\) | 1.30921 | + | 2.26762i | 0.0476787 | + | 0.0825820i | ||||
\(755\) | −13.0389 | − | 22.5841i | −0.474535 | − | 0.821919i | ||||
\(756\) | 0.257387 | − | 0.445807i | 0.00936107 | − | 0.0162138i | ||||
\(757\) | −0.495280 | − | 0.857850i | −0.0180012 | − | 0.0311791i | 0.856884 | − | 0.515509i | \(-0.172397\pi\) |
−0.874886 | + | 0.484329i | \(0.839064\pi\) | |||||||
\(758\) | −18.8357 | + | 32.6243i | −0.684142 | + | 1.18497i | ||||
\(759\) | 2.60751 | 0.0946467 | ||||||||
\(760\) | −43.3119 | −1.57109 | ||||||||
\(761\) | −21.9233 | + | 37.9723i | −0.794720 | + | 1.37650i | 0.128296 | + | 0.991736i | \(0.459049\pi\) |
−0.923017 | + | 0.384760i | \(0.874284\pi\) | |||||||
\(762\) | 0.994816 | + | 1.72307i | 0.0360384 | + | 0.0624203i | ||||
\(763\) | 8.76823 | − | 15.1870i | 0.317431 | − | 0.549807i | ||||
\(764\) | 1.93391 | + | 3.34963i | 0.0699664 | + | 0.121185i | ||||
\(765\) | 5.37546 | + | 9.31056i | 0.194350 | + | 0.336624i | ||||
\(766\) | −7.59559 | − | 13.1559i | −0.274440 | − | 0.475343i | ||||
\(767\) | −6.46133 | −0.233305 | ||||||||
\(768\) | −0.357411 | + | 0.619053i | −0.0128969 | + | 0.0223382i | ||||
\(769\) | 20.8735 | − | 36.1540i | 0.752719 | − | 1.30375i | −0.193781 | − | 0.981045i | \(-0.562075\pi\) |
0.946500 | − | 0.322703i | \(-0.104591\pi\) | |||||||
\(770\) | −12.5514 | − | 21.7397i | −0.452321 | − | 0.783443i | ||||
\(771\) | −3.24419 | −0.116837 | ||||||||
\(772\) | 0.0159944 | − | 0.0277031i | 0.000575650 | − | 0.000997055i | ||||
\(773\) | 18.5813 | 0.668322 | 0.334161 | − | 0.942516i | \(-0.391547\pi\) | ||||
0.334161 | + | 0.942516i | \(0.391547\pi\) | |||||||
\(774\) | 21.1105 | 0.758800 | ||||||||
\(775\) | −0.0344107 | + | 1.42733i | −0.00123607 | + | 0.0512711i | ||||
\(776\) | 2.98888 | 0.107295 | ||||||||
\(777\) | −0.178725 | −0.00641172 | ||||||||
\(778\) | 23.5607 | − | 40.8083i | 0.844691 | − | 1.46305i | ||||
\(779\) | −7.62351 | −0.273141 | ||||||||
\(780\) | 0.0326507 | + | 0.0565526i | 0.00116908 | + | 0.00202491i | ||||
\(781\) | 0.644110 | − | 1.11563i | 0.0230481 | − | 0.0399204i | ||||
\(782\) | 5.33876 | − | 9.24701i | 0.190914 | − | 0.330672i | ||||
\(783\) | −2.15064 | −0.0768574 | ||||||||
\(784\) | 2.34580 | + | 4.06305i | 0.0837786 | + | 0.145109i | ||||
\(785\) | −10.0150 | − | 17.3464i | −0.357449 | − | 0.619120i | ||||
\(786\) | −1.57799 | − | 2.73316i | −0.0562851 | − | 0.0974886i | ||||
\(787\) | 3.71349 | − | 6.43195i | 0.132372 | − | 0.229274i | −0.792219 | − | 0.610237i | \(-0.791074\pi\) |
0.924590 | + | 0.380963i | \(0.124407\pi\) | |||||||
\(788\) | 0.0532870 | + | 0.0922957i | 0.00189827 | + | 0.00328790i | ||||
\(789\) | −0.708978 | + | 1.22799i | −0.0252403 | + | 0.0437175i | ||||
\(790\) | 40.4423 | 1.43887 | ||||||||
\(791\) | −17.1290 | −0.609038 | ||||||||
\(792\) | 12.8269 | − | 22.2168i | 0.455783 | − | 0.789439i | ||||
\(793\) | −2.95845 | − | 5.12418i | −0.105058 | − | 0.181965i | ||||
\(794\) | −4.82363 | + | 8.35478i | −0.171184 | + | 0.296500i | ||||
\(795\) | 2.41620 | + | 4.18498i | 0.0856938 | + | 0.148426i | ||||
\(796\) | −1.38175 | − | 2.39327i | −0.0489750 | − | 0.0848271i | ||||
\(797\) | −4.06670 | − | 7.04374i | −0.144050 | − | 0.249502i | 0.784968 | − | 0.619536i | \(-0.212679\pi\) |
−0.929018 | + | 0.370034i | \(0.879346\pi\) | |||||||
\(798\) | 4.94729 | 0.175132 | ||||||||
\(799\) | −7.02293 | + | 12.1641i | −0.248454 | + | 0.430334i | ||||
\(800\) | 0.116159 | − | 0.201193i | 0.00410684 | − | 0.00711325i | ||||
\(801\) | 6.60500 | + | 11.4402i | 0.233376 | + | 0.404219i | ||||
\(802\) | 11.0452 | 0.390021 | ||||||||
\(803\) | −6.89425 | + | 11.9412i | −0.243293 | + | 0.421396i | ||||
\(804\) | 0.344059 | 0.0121340 | ||||||||
\(805\) | −29.6454 | −1.04486 | ||||||||
\(806\) | 6.44676 | + | 3.93219i | 0.227077 | + | 0.138506i | ||||
\(807\) | −4.77947 | −0.168245 | ||||||||
\(808\) | −33.9456 | −1.19420 | ||||||||
\(809\) | 16.8619 | − | 29.2057i | 0.592833 | − | 1.02682i | −0.401016 | − | 0.916071i | \(-0.631343\pi\) |
0.993849 | − | 0.110746i | \(-0.0353239\pi\) | |||||||
\(810\) | −25.6616 | −0.901657 | ||||||||
\(811\) | 7.30735 | + | 12.6567i | 0.256596 | + | 0.444437i | 0.965328 | − | 0.261041i | \(-0.0840658\pi\) |
−0.708732 | + | 0.705478i | \(0.750732\pi\) | |||||||
\(812\) | −0.446081 | + | 0.772634i | −0.0156544 | + | 0.0271141i | ||||
\(813\) | −1.55443 | + | 2.69235i | −0.0545161 | + | 0.0944247i | ||||
\(814\) | −1.33153 | −0.0466700 | ||||||||
\(815\) | 0.357045 | + | 0.618421i | 0.0125068 | + | 0.0216623i | ||||
\(816\) | 0.567850 | + | 0.983544i | 0.0198787 | + | 0.0344309i | ||||
\(817\) | −17.8126 | − | 30.8523i | −0.623184 | − | 1.07939i | ||||
\(818\) | 18.5960 | − | 32.2092i | 0.650193 | − | 1.12617i | ||||
\(819\) | 4.26717 | + | 7.39096i | 0.149107 | + | 0.258261i | ||||
\(820\) | −0.196404 | + | 0.340182i | −0.00685873 | + | 0.0118797i | ||||
\(821\) | 30.7838 | 1.07436 | 0.537181 | − | 0.843467i | \(-0.319489\pi\) | ||||
0.537181 | + | 0.843467i | \(0.319489\pi\) | |||||||
\(822\) | −1.69546 | −0.0591360 | ||||||||
\(823\) | 15.8659 | − | 27.4806i | 0.553052 | − | 0.957914i | −0.445000 | − | 0.895531i | \(-0.646796\pi\) |
0.998052 | − | 0.0623839i | \(-0.0198703\pi\) | |||||||
\(824\) | 9.40305 | + | 16.2866i | 0.327571 | + | 0.567369i | ||||
\(825\) | 0.0706948 | − | 0.122447i | 0.00246128 | − | 0.00426306i | ||||
\(826\) | 12.6114 | + | 21.8436i | 0.438806 | + | 0.760035i | ||||
\(827\) | 24.5922 | + | 42.5950i | 0.855155 | + | 1.48117i | 0.876501 | + | 0.481400i | \(0.159872\pi\) |
−0.0213454 | + | 0.999772i | \(0.506795\pi\) | |||||||
\(828\) | −1.12567 | − | 1.94971i | −0.0391196 | − | 0.0677572i | ||||
\(829\) | −11.2329 | −0.390134 | −0.195067 | − | 0.980790i | \(-0.562492\pi\) | ||||
−0.195067 | + | 0.980790i | \(0.562492\pi\) | |||||||
\(830\) | 11.5539 | − | 20.0119i | 0.401041 | − | 0.694624i | ||||
\(831\) | −0.688377 | + | 1.19230i | −0.0238795 | + | 0.0413605i | ||||
\(832\) | −4.26748 | − | 7.39150i | −0.147948 | − | 0.256254i | ||||
\(833\) | −2.13800 | −0.0740772 | ||||||||
\(834\) | −0.199301 | + | 0.345199i | −0.00690121 | + | 0.0119533i | ||||
\(835\) | 1.12995 | 0.0391036 | ||||||||
\(836\) | −3.21710 | −0.111266 | ||||||||
\(837\) | −5.44451 | + | 2.97078i | −0.188190 | + | 0.102685i | ||||
\(838\) | −12.9841 | −0.448528 | ||||||||
\(839\) | 8.02194 | 0.276948 | 0.138474 | − | 0.990366i | \(-0.455780\pi\) | ||||
0.138474 | + | 0.990366i | \(0.455780\pi\) | |||||||
\(840\) | 1.71518 | − | 2.97077i | 0.0591792 | − | 0.102501i | ||||
\(841\) | −25.2727 | −0.871473 | ||||||||
\(842\) | −15.9042 | − | 27.5468i | −0.548094 | − | 0.949326i | ||||
\(843\) | 1.41614 | − | 2.45282i | 0.0487744 | − | 0.0844797i | ||||
\(844\) | 1.47260 | − | 2.55062i | 0.0506890 | − | 0.0877960i | ||||
\(845\) | −2.17797 | −0.0749246 | ||||||||
\(846\) | −16.9651 | − | 29.3844i | −0.583271 | − | 1.01026i | ||||
\(847\) | 3.28464 | + | 5.68916i | 0.112861 | + | 0.195482i | ||||
\(848\) | −21.7017 | − | 37.5884i | −0.745239 | − | 1.29079i | ||||
\(849\) | 1.91195 | − | 3.31159i | 0.0656180 | − | 0.113654i | ||||
\(850\) | −0.289489 | − | 0.501409i | −0.00992938 | − | 0.0171982i | ||||
\(851\) | −0.786240 | + | 1.36181i | −0.0269519 | + | 0.0466821i | ||||
\(852\) | 0.0130816 | 0.000448168 | ||||||||
\(853\) | 7.75186 | 0.265419 | 0.132709 | − | 0.991155i | \(-0.457632\pi\) | ||||
0.132709 | + | 0.991155i | \(0.457632\pi\) | |||||||
\(854\) | −11.5487 | + | 20.0030i | −0.395190 | + | 0.684489i | ||||
\(855\) | 21.9135 | + | 37.9553i | 0.749426 | + | 1.29804i | ||||
\(856\) | 20.0531 | − | 34.7331i | 0.685402 | − | 1.18715i | ||||
\(857\) | −5.72343 | − | 9.91327i | −0.195509 | − | 0.338631i | 0.751558 | − | 0.659666i | \(-0.229302\pi\) |
−0.947067 | + | 0.321036i | \(0.895969\pi\) | |||||||
\(858\) | −0.373906 | − | 0.647624i | −0.0127649 | − | 0.0221095i | ||||
\(859\) | 26.3748 | + | 45.6825i | 0.899898 | + | 1.55867i | 0.827624 | + | 0.561283i | \(0.189692\pi\) |
0.0722740 | + | 0.997385i | \(0.476974\pi\) | |||||||
\(860\) | −1.83562 | −0.0625942 | ||||||||
\(861\) | 0.301895 | − | 0.522898i | 0.0102886 | − | 0.0178203i | ||||
\(862\) | 14.1136 | − | 24.4454i | 0.480711 | − | 0.832615i | ||||
\(863\) | −25.6469 | − | 44.4217i | −0.873030 | − | 1.51213i | −0.858847 | − | 0.512233i | \(-0.828819\pi\) |
−0.0141833 | − | 0.999899i | \(-0.504515\pi\) | |||||||
\(864\) | 1.00922 | 0.0343342 | ||||||||
\(865\) | 7.72367 | − | 13.3778i | 0.262613 | − | 0.454859i | ||||
\(866\) | −41.6900 | −1.41669 | ||||||||
\(867\) | 2.65713 | 0.0902408 | ||||||||
\(868\) | −0.0620114 | + | 2.57218i | −0.00210480 | + | 0.0873054i | ||||
\(869\) | 40.4239 | 1.37129 | ||||||||
\(870\) | −1.06498 | −0.0361064 | ||||||||
\(871\) | −5.73764 | + | 9.93788i | −0.194412 | + | 0.336732i | ||||
\(872\) | 17.8535 | 0.604596 | ||||||||
\(873\) | −1.51221 | − | 2.61923i | −0.0511807 | − | 0.0886475i | ||||
\(874\) | 21.7639 | − | 37.6962i | 0.736176 | − | 1.27509i | ||||
\(875\) | −16.4756 | + | 28.5365i | −0.556976 | + | 0.964711i | ||||
\(876\) | −0.140019 | −0.00473082 | ||||||||
\(877\) | −9.24890 | − | 16.0196i | −0.312313 | − | 0.540942i | 0.666549 | − | 0.745461i | \(-0.267771\pi\) |
−0.978863 | + | 0.204518i | \(0.934437\pi\) | |||||||
\(878\) | −0.781419 | − | 1.35346i | −0.0263716 | − | 0.0456770i | ||||
\(879\) | 1.60423 | + | 2.77860i | 0.0541092 | + | 0.0937199i | ||||
\(880\) | 11.7459 | − | 20.3444i | 0.395953 | − | 0.685810i | ||||
\(881\) | −5.05594 | − | 8.75714i | −0.170339 | − | 0.295036i | 0.768199 | − | 0.640211i | \(-0.221153\pi\) |
−0.938538 | + | 0.345175i | \(0.887820\pi\) | |||||||
\(882\) | 2.58235 | − | 4.47275i | 0.0869521 | − | 0.150605i | ||||
\(883\) | 2.26844 | 0.0763390 | 0.0381695 | − | 0.999271i | \(-0.487847\pi\) | ||||
0.0381695 | + | 0.999271i | \(0.487847\pi\) | |||||||
\(884\) | 0.267281 | 0.00898964 | ||||||||
\(885\) | 1.31400 | − | 2.27591i | 0.0441696 | − | 0.0765040i | ||||
\(886\) | −13.2951 | − | 23.0277i | −0.446657 | − | 0.773632i | ||||
\(887\) | −7.54541 | + | 13.0690i | −0.253350 | + | 0.438815i | −0.964446 | − | 0.264280i | \(-0.914866\pi\) |
0.711096 | + | 0.703095i | \(0.248199\pi\) | |||||||
\(888\) | −0.0909780 | − | 0.157578i | −0.00305302 | − | 0.00528799i | ||||
\(889\) | −11.3051 | − | 19.5811i | −0.379162 | − | 0.656728i | ||||
\(890\) | 6.58000 | + | 11.3969i | 0.220562 | + | 0.382025i | ||||
\(891\) | −25.6499 | −0.859305 | ||||||||
\(892\) | 1.04575 | − | 1.81129i | 0.0350142 | − | 0.0606463i | ||||
\(893\) | −28.6296 | + | 49.5879i | −0.958053 | + | 1.65940i | ||||
\(894\) | −1.82437 | − | 3.15991i | −0.0610162 | − | 0.105683i | ||||
\(895\) | −43.2098 | −1.44434 | ||||||||
\(896\) | −14.0512 | + | 24.3373i | −0.469416 | + | 0.813053i | ||||
\(897\) | −0.883136 | −0.0294871 | ||||||||
\(898\) | −3.52356 | −0.117583 | ||||||||
\(899\) | 9.43595 | − | 5.14869i | 0.314706 | − | 0.171719i | ||||
\(900\) | −0.122076 | −0.00406921 | ||||||||
\(901\) | 19.7792 | 0.658942 | ||||||||
\(902\) | 2.24916 | − | 3.89567i | 0.0748890 | − | 0.129711i | ||||
\(903\) | 2.82156 | 0.0938955 | ||||||||
\(904\) | −8.71935 | − | 15.1024i | −0.290001 | − | 0.502297i | ||||
\(905\) | −14.8812 | + | 25.7750i | −0.494668 | + | 0.856790i | ||||
\(906\) | −1.51629 | + | 2.62630i | −0.0503755 | + | 0.0872528i | ||||
\(907\) | −17.0425 | −0.565888 | −0.282944 | − | 0.959136i | \(-0.591311\pi\) | ||||
−0.282944 | + | 0.959136i | \(0.591311\pi\) | |||||||
\(908\) | 1.79777 | + | 3.11383i | 0.0596612 | + | 0.103336i | ||||
\(909\) | 17.1746 | + | 29.7474i | 0.569647 | + | 0.986658i | ||||
\(910\) | 4.25102 | + | 7.36299i | 0.140920 | + | 0.244081i | ||||
\(911\) | −19.4661 | + | 33.7163i | −0.644942 | + | 1.11707i | 0.339373 | + | 0.940652i | \(0.389785\pi\) |
−0.984315 | + | 0.176420i | \(0.943548\pi\) | |||||||
\(912\) | 2.31489 | + | 4.00950i | 0.0766536 | + | 0.132768i | ||||
\(913\) | 11.5486 | − | 20.0028i | 0.382204 | − | 0.661996i | ||||
\(914\) | −49.9812 | −1.65323 | ||||||||
\(915\) | 2.40656 | 0.0795584 | ||||||||
\(916\) | 2.09766 | − | 3.63326i | 0.0693088 | − | 0.120046i | ||||
\(917\) | 17.9324 | + | 31.0598i | 0.592179 | + | 1.02568i | ||||
\(918\) | 1.25757 | − | 2.17818i | 0.0415061 | − | 0.0718906i | ||||
\(919\) | −2.39834 | − | 4.15404i | −0.0791138 | − | 0.137029i | 0.823754 | − | 0.566947i | \(-0.191876\pi\) |
−0.902868 | + | 0.429918i | \(0.858542\pi\) | |||||||
\(920\) | −15.0907 | − | 26.1378i | −0.497525 | − | 0.861738i | ||||
\(921\) | −2.56954 | − | 4.45058i | −0.0846693 | − | 0.146652i | ||||
\(922\) | 43.1632 | 1.42150 | ||||||||
\(923\) | −0.218153 | + | 0.377852i | −0.00718059 | + | 0.0124372i | ||||
\(924\) | 0.127399 | − | 0.220661i | 0.00419111 | − | 0.00725922i | ||||
\(925\) | 0.0426330 | + | 0.0738425i | 0.00140176 | + | 0.00242793i | ||||
\(926\) | −9.34785 | −0.307189 | ||||||||
\(927\) | 9.51488 | − | 16.4803i | 0.312510 | − | 0.541283i | ||||
\(928\) | −1.74908 | −0.0574165 | ||||||||
\(929\) | 0.443552 | 0.0145525 | 0.00727624 | − | 0.999974i | \(-0.497684\pi\) | ||||
0.00727624 | + | 0.999974i | \(0.497684\pi\) | |||||||
\(930\) | −2.69609 | + | 1.47112i | −0.0884084 | + | 0.0482398i | ||||
\(931\) | −8.71573 | −0.285646 | ||||||||
\(932\) | −1.73138 | −0.0567133 | ||||||||
\(933\) | 2.24319 | − | 3.88532i | 0.0734388 | − | 0.127200i | ||||
\(934\) | −44.4972 | −1.45599 | ||||||||
\(935\) | 5.35267 | + | 9.27110i | 0.175051 | + | 0.303198i | ||||
\(936\) | −4.34432 | + | 7.52458i | −0.141999 | + | 0.245949i | ||||
\(937\) | 11.3458 | − | 19.6514i | 0.370650 | − | 0.641984i | −0.619016 | − | 0.785378i | \(-0.712468\pi\) |
0.989666 | + | 0.143394i | \(0.0458017\pi\) | |||||||
\(938\) | 44.7955 | 1.46262 | ||||||||
\(939\) | 0.978818 | + | 1.69536i | 0.0319425 | + | 0.0553261i | ||||
\(940\) | 1.47517 | + | 2.55506i | 0.0481146 | + | 0.0833370i | ||||
\(941\) | 1.12487 | + | 1.94834i | 0.0366698 | + | 0.0635140i | 0.883778 | − | 0.467907i | \(-0.154992\pi\) |
−0.847108 | + | 0.531421i | \(0.821658\pi\) | |||||||
\(942\) | −1.16464 | + | 2.01721i | −0.0379459 | + | 0.0657242i | ||||
\(943\) | −2.65617 | − | 4.60063i | −0.0864969 | − | 0.149817i | ||||
\(944\) | −11.8020 | + | 20.4417i | −0.384122 | + | 0.665319i | ||||
\(945\) | −6.98313 | −0.227161 | ||||||||
\(946\) | 21.0210 | 0.683452 | ||||||||
\(947\) | −4.96238 | + | 8.59509i | −0.161256 | + | 0.279303i | −0.935319 | − | 0.353805i | \(-0.884888\pi\) |
0.774064 | + | 0.633108i | \(0.218221\pi\) | |||||||
\(948\) | 0.205248 | + | 0.355500i | 0.00666615 | + | 0.0115461i | ||||
\(949\) | 2.33501 | − | 4.04435i | 0.0757976 | − | 0.131285i | ||||
\(950\) | −1.18013 | − | 2.04404i | −0.0382883 | − | 0.0663173i | ||||
\(951\) | 2.96142 | + | 5.12933i | 0.0960306 | + | 0.166330i | ||||
\(952\) | −7.02029 | − | 12.1595i | −0.227529 | − | 0.394092i | ||||
\(953\) | −35.1157 | −1.13751 | −0.568754 | − | 0.822507i | \(-0.692575\pi\) | ||||
−0.568754 | + | 0.822507i | \(0.692575\pi\) | |||||||
\(954\) | −23.8900 | + | 41.3788i | −0.773469 | + | 1.33969i | ||||
\(955\) | 26.2343 | − | 45.4392i | 0.848923 | − | 1.47038i | ||||
\(956\) | −1.76992 | − | 3.06559i | −0.0572433 | − | 0.0991483i | ||||
\(957\) | −1.06450 | −0.0344104 | ||||||||
\(958\) | −12.3779 | + | 21.4392i | −0.399913 | + | 0.692670i | ||||
\(959\) | 19.2673 | 0.622174 | ||||||||
\(960\) | 3.47140 | 0.112039 | ||||||||
\(961\) | 16.7757 | − | 26.0687i | 0.541152 | − | 0.840925i | ||||
\(962\) | 0.450973 | 0.0145400 | ||||||||
\(963\) | −40.5833 | −1.30778 | ||||||||
\(964\) | 0.722220 | − | 1.25092i | 0.0232611 | − | 0.0402895i | ||||
\(965\) | −0.433941 | −0.0139691 | ||||||||
\(966\) | 1.72373 | + | 2.98558i | 0.0554600 | + | 0.0960596i | ||||
\(967\) | 11.0599 | − | 19.1563i | 0.355661 | − | 0.616024i | −0.631570 | − | 0.775319i | \(-0.717589\pi\) |
0.987231 | + | 0.159296i | \(0.0509223\pi\) | |||||||
\(968\) | −3.34402 | + | 5.79201i | −0.107481 | + | 0.186162i | ||||
\(969\) | −2.10982 | −0.0677773 | ||||||||
\(970\) | −1.50649 | − | 2.60932i | −0.0483705 | − | 0.0837801i | ||||
\(971\) | 1.32880 | + | 2.30156i | 0.0426434 | + | 0.0738605i | 0.886559 | − | 0.462615i | \(-0.153089\pi\) |
−0.843916 | + | 0.536475i | \(0.819755\pi\) | |||||||
\(972\) | −0.398510 | − | 0.690239i | −0.0127822 | − | 0.0221394i | ||||
\(973\) | 2.26486 | − | 3.92286i | 0.0726082 | − | 0.125761i | ||||
\(974\) | 10.8770 | + | 18.8395i | 0.348522 | + | 0.603658i | ||||
\(975\) | −0.0239436 | + | 0.0414715i | −0.000766808 | + | 0.00132815i | ||||
\(976\) | −21.6151 | −0.691883 | ||||||||
\(977\) | 9.75901 | 0.312218 | 0.156109 | − | 0.987740i | \(-0.450105\pi\) | ||||
0.156109 | + | 0.987740i | \(0.450105\pi\) | |||||||
\(978\) | 0.0415207 | − | 0.0719160i | 0.00132769 | − | 0.00229962i | ||||
\(979\) | 6.57700 | + | 11.3917i | 0.210202 | + | 0.364080i | ||||
\(980\) | −0.224543 | + | 0.388920i | −0.00717276 | + | 0.0124236i | ||||
\(981\) | −9.03292 | − | 15.6455i | −0.288399 | − | 0.499522i | ||||
\(982\) | −9.28212 | − | 16.0771i | −0.296204 | − | 0.513041i | ||||
\(983\) | 4.30061 | + | 7.44888i | 0.137168 | + | 0.237582i | 0.926424 | − | 0.376483i | \(-0.122867\pi\) |
−0.789255 | + | 0.614065i | \(0.789533\pi\) | |||||||
\(984\) | 0.614706 | 0.0195961 | ||||||||
\(985\) | 0.722860 | − | 1.25203i | 0.0230322 | − | 0.0398930i | ||||
\(986\) | −2.17952 | + | 3.77503i | −0.0694099 | + | 0.120221i | ||||
\(987\) | −2.26750 | − | 3.92742i | −0.0721752 | − | 0.125011i | ||||
\(988\) | 1.08960 | 0.0346647 | ||||||||
\(989\) | 12.4125 | − | 21.4991i | 0.394694 | − | 0.683630i | ||||
\(990\) | −25.8606 | −0.821903 | ||||||||
\(991\) | 41.2017 | 1.30882 | 0.654408 | − | 0.756142i | \(-0.272918\pi\) | ||||
0.654408 | + | 0.756142i | \(0.272918\pi\) | |||||||
\(992\) | −4.42795 | + | 2.41610i | −0.140587 | + | 0.0767111i | ||||
\(993\) | −1.52504 | −0.0483958 | ||||||||
\(994\) | 1.70319 | 0.0540218 | ||||||||
\(995\) | −18.7441 | + | 32.4657i | −0.594227 | + | 1.02923i | ||||
\(996\) | 0.234548 | 0.00743193 | ||||||||
\(997\) | 6.51742 | + | 11.2885i | 0.206409 | + | 0.357511i | 0.950581 | − | 0.310478i | \(-0.100489\pi\) |
−0.744172 | + | 0.667988i | \(0.767156\pi\) | |||||||
\(998\) | −4.82403 | + | 8.35546i | −0.152702 | + | 0.264488i | ||||
\(999\) | −0.185203 | + | 0.320780i | −0.00585955 | + | 0.0101490i |
(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 | 403.2.h.b.222.12 | yes | 34 | |
31.25 | even | 3 | inner | 403.2.h.b.118.12 | ✓ | 34 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.h.b.118.12 | ✓ | 34 | 31.25 | even | 3 | inner | |
403.2.h.b.222.12 | yes | 34 | 1.1 | even | 1 | trivial |