Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [112,2,Mod(3,112)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(112, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([6, 9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("112.3");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 112 = 2^{4} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 112.v (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(0.894324502638\) |
Analytic rank: | \(0\) |
Dimension: | \(56\) |
Relative dimension: | \(14\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 3.4 | ||
Character | \(\chi\) | \(=\) | 112.3 |
Dual form | 112.2.v.a.75.4 |
$q$-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 \(\left(\mathbb{Z}/112\mathbb{Z}\right)^\times\).
\(n\) | \(15\) | \(17\) | \(85\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{3}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.946521 | + | 1.05076i | −0.669291 | + | 0.743000i | ||||
\(3\) | 2.77508 | − | 0.743580i | 1.60219 | − | 0.429306i | 0.656489 | − | 0.754336i | \(-0.272041\pi\) |
0.945704 | + | 0.325029i | \(0.105374\pi\) | |||||||
\(4\) | −0.208197 | − | 1.98913i | −0.104098 | − | 0.994567i | ||||
\(5\) | −0.907491 | + | 3.38680i | −0.405842 | + | 1.51462i | 0.396655 | + | 0.917968i | \(0.370171\pi\) |
−0.802497 | + | 0.596656i | \(0.796496\pi\) | |||||||
\(6\) | −1.84535 | + | 3.61976i | −0.753359 | + | 1.47776i | ||||
\(7\) | 0.0791552 | − | 2.64457i | 0.0299178 | − | 0.999552i | ||||
\(8\) | 2.28717 | + | 1.66399i | 0.808635 | + | 0.588310i | ||||
\(9\) | 4.55008 | − | 2.62699i | 1.51669 | − | 0.875663i | ||||
\(10\) | −2.69976 | − | 4.15923i | −0.853739 | − | 1.31527i | ||||
\(11\) | −0.415511 | + | 0.111336i | −0.125281 | + | 0.0335690i | −0.320915 | − | 0.947108i | \(-0.603990\pi\) |
0.195634 | + | 0.980677i | \(0.437324\pi\) | |||||||
\(12\) | −2.05684 | − | 5.36519i | −0.593759 | − | 1.54880i | ||||
\(13\) | −1.52743 | + | 1.52743i | −0.423632 | + | 0.423632i | −0.886452 | − | 0.462820i | \(-0.846837\pi\) |
0.462820 | + | 0.886452i | \(0.346837\pi\) | |||||||
\(14\) | 2.70389 | + | 2.58631i | 0.722644 | + | 0.691221i | ||||
\(15\) | 10.0734i | 2.60095i | ||||||||
\(16\) | −3.91331 | + | 0.828262i | −0.978327 | + | 0.207065i | ||||
\(17\) | −2.55730 | − | 1.47646i | −0.620237 | − | 0.358094i | 0.156724 | − | 0.987642i | \(-0.449907\pi\) |
−0.776961 | + | 0.629548i | \(0.783240\pi\) | |||||||
\(18\) | −1.54641 | + | 7.26755i | −0.364492 | + | 1.71298i | ||||
\(19\) | 0.0152879 | − | 0.0570552i | 0.00350729 | − | 0.0130894i | −0.964150 | − | 0.265358i | \(-0.914510\pi\) |
0.967657 | + | 0.252268i | \(0.0811766\pi\) | |||||||
\(20\) | 6.92574 | + | 1.10000i | 1.54864 | + | 0.245968i | ||||
\(21\) | −1.74679 | − | 7.39774i | −0.381180 | − | 1.61432i | ||||
\(22\) | 0.276302 | − | 0.541984i | 0.0589079 | − | 0.115551i | ||||
\(23\) | −0.564949 | − | 0.978521i | −0.117800 | − | 0.204036i | 0.801096 | − | 0.598536i | \(-0.204251\pi\) |
−0.918896 | + | 0.394501i | \(0.870918\pi\) | |||||||
\(24\) | 7.58438 | + | 2.91702i | 1.54816 | + | 0.595434i | ||||
\(25\) | −6.31676 | − | 3.64698i | −1.26335 | − | 0.729397i | ||||
\(26\) | −0.159219 | − | 3.05070i | −0.0312254 | − | 0.598291i | ||||
\(27\) | 4.57896 | − | 4.57896i | 0.881221 | − | 0.881221i | ||||
\(28\) | −5.27688 | + | 0.393139i | −0.997236 | + | 0.0742964i | ||||
\(29\) | −6.00198 | − | 6.00198i | −1.11454 | − | 1.11454i | −0.992529 | − | 0.122010i | \(-0.961066\pi\) |
−0.122010 | − | 0.992529i | \(-0.538934\pi\) | |||||||
\(30\) | −10.5848 | − | 9.53472i | −1.93251 | − | 1.74079i | ||||
\(31\) | −0.0202642 | + | 0.0350986i | −0.00363956 | + | 0.00630390i | −0.867839 | − | 0.496845i | \(-0.834492\pi\) |
0.864200 | + | 0.503149i | \(0.167825\pi\) | |||||||
\(32\) | 2.83372 | − | 4.89592i | 0.500936 | − | 0.865484i | ||||
\(33\) | −1.07029 | + | 0.617931i | −0.186313 | + | 0.107568i | ||||
\(34\) | 3.97195 | − | 1.28961i | 0.681183 | − | 0.221167i | ||||
\(35\) | 8.88479 | + | 2.66800i | 1.50180 | + | 0.450975i | ||||
\(36\) | −6.17275 | − | 8.50379i | −1.02879 | − | 1.41730i | ||||
\(37\) | 5.11281 | + | 1.36997i | 0.840540 | + | 0.225222i | 0.653307 | − | 0.757093i | \(-0.273381\pi\) |
0.187234 | + | 0.982315i | \(0.440048\pi\) | |||||||
\(38\) | 0.0454811 | + | 0.0700679i | 0.00737801 | + | 0.0113665i | ||||
\(39\) | −3.10296 | + | 5.37449i | −0.496872 | + | 0.860607i | ||||
\(40\) | −7.71119 | + | 6.23612i | −1.21925 | + | 0.986017i | ||||
\(41\) | −1.51601 | −0.236761 | −0.118380 | − | 0.992968i | \(-0.537770\pi\) | ||||
−0.118380 | + | 0.992968i | \(0.537770\pi\) | |||||||
\(42\) | 9.42663 | + | 5.16666i | 1.45456 | + | 0.797233i | ||||
\(43\) | 0.767367 | + | 0.767367i | 0.117022 | + | 0.117022i | 0.763193 | − | 0.646171i | \(-0.223631\pi\) |
−0.646171 | + | 0.763193i | \(0.723631\pi\) | |||||||
\(44\) | 0.307970 | + | 0.803327i | 0.0464282 | + | 0.121106i | ||||
\(45\) | 4.76794 | + | 17.7942i | 0.710762 | + | 2.65260i | ||||
\(46\) | 1.56293 | + | 0.332564i | 0.230441 | + | 0.0490339i | ||||
\(47\) | −1.69526 | − | 2.93628i | −0.247279 | − | 0.428300i | 0.715491 | − | 0.698622i | \(-0.246203\pi\) |
−0.962770 | + | 0.270322i | \(0.912870\pi\) | |||||||
\(48\) | −10.2439 | + | 5.20835i | −1.47857 | + | 0.751761i | ||||
\(49\) | −6.98747 | − | 0.418662i | −0.998210 | − | 0.0598089i | ||||
\(50\) | 9.81105 | − | 3.18546i | 1.38749 | − | 0.450492i | ||||
\(51\) | −8.19458 | − | 2.19573i | −1.14747 | − | 0.307464i | ||||
\(52\) | 3.35626 | + | 2.72025i | 0.465429 | + | 0.377231i | ||||
\(53\) | 1.38953 | + | 5.18578i | 0.190866 | + | 0.712322i | 0.993298 | + | 0.115579i | \(0.0368723\pi\) |
−0.802432 | + | 0.596743i | \(0.796461\pi\) | |||||||
\(54\) | 0.477310 | + | 9.14547i | 0.0649537 | + | 1.24454i | ||||
\(55\) | − | 1.50829i | − | 0.203378i | ||||||
\(56\) | 4.58158 | − | 5.91685i | 0.612239 | − | 0.790672i | ||||
\(57\) | − | 0.169701i | − | 0.0224774i | ||||||
\(58\) | 11.9876 | − | 0.625646i | 1.57405 | − | 0.0821513i | ||||
\(59\) | 3.86976 | + | 14.4421i | 0.503800 | + | 1.88021i | 0.473752 | + | 0.880658i | \(0.342899\pi\) |
0.0300476 | + | 0.999548i | \(0.490434\pi\) | |||||||
\(60\) | 20.0374 | − | 2.09725i | 2.58682 | − | 0.270754i | ||||
\(61\) | 9.31016 | + | 2.49465i | 1.19204 | + | 0.319407i | 0.799694 | − | 0.600408i | \(-0.204995\pi\) |
0.392351 | + | 0.919816i | \(0.371662\pi\) | |||||||
\(62\) | −0.0176998 | − | 0.0545144i | −0.00224787 | − | 0.00692334i | ||||
\(63\) | −6.58709 | − | 12.2409i | −0.829895 | − | 1.54221i | ||||
\(64\) | 2.46226 | + | 7.61165i | 0.307783 | + | 0.951457i | ||||
\(65\) | −3.78696 | − | 6.55921i | −0.469715 | − | 0.813570i | ||||
\(66\) | 0.363752 | − | 1.70950i | 0.0447748 | − | 0.210425i | ||||
\(67\) | −2.24972 | − | 8.39609i | −0.274848 | − | 1.02575i | −0.955943 | − | 0.293551i | \(-0.905163\pi\) |
0.681096 | − | 0.732194i | \(-0.261504\pi\) | |||||||
\(68\) | −2.40445 | + | 5.39421i | −0.291583 | + | 0.654144i | ||||
\(69\) | −2.29539 | − | 2.29539i | −0.276332 | − | 0.276332i | ||||
\(70\) | −11.2131 | + | 6.81047i | −1.34022 | + | 0.814007i | ||||
\(71\) | 5.84154 | 0.693263 | 0.346631 | − | 0.938001i | \(-0.387325\pi\) | ||||
0.346631 | + | 0.938001i | \(0.387325\pi\) | |||||||
\(72\) | 14.7781 | + | 1.56293i | 1.74161 | + | 0.184194i | ||||
\(73\) | 1.89391 | − | 3.28034i | 0.221665 | − | 0.383935i | −0.733649 | − | 0.679529i | \(-0.762184\pi\) |
0.955314 | + | 0.295594i | \(0.0955175\pi\) | |||||||
\(74\) | −6.27889 | + | 4.07563i | −0.729906 | + | 0.473782i | ||||
\(75\) | −20.2413 | − | 5.42365i | −2.33727 | − | 0.626269i | ||||
\(76\) | −0.116673 | − | 0.0185310i | −0.0133834 | − | 0.00212565i | ||||
\(77\) | 0.261545 | + | 1.10766i | 0.0298058 | + | 0.126229i | ||||
\(78\) | −2.71029 | − | 8.34754i | −0.306879 | − | 0.945173i | ||||
\(79\) | −4.89202 | + | 2.82441i | −0.550395 | + | 0.317771i | −0.749281 | − | 0.662252i | \(-0.769601\pi\) |
0.198886 | + | 0.980023i | \(0.436268\pi\) | |||||||
\(80\) | 0.746134 | − | 14.0052i | 0.0834203 | − | 1.56583i | ||||
\(81\) | 1.42118 | − | 2.46156i | 0.157909 | − | 0.273506i | ||||
\(82\) | 1.43493 | − | 1.59296i | 0.158462 | − | 0.175913i | ||||
\(83\) | 9.59296 | + | 9.59296i | 1.05296 | + | 1.05296i | 0.998517 | + | 0.0544475i | \(0.0173397\pi\) |
0.0544475 | + | 0.998517i | \(0.482660\pi\) | |||||||
\(84\) | −14.3514 | + | 5.01478i | −1.56587 | + | 0.547157i | ||||
\(85\) | 7.32120 | − | 7.32120i | 0.794096 | − | 0.794096i | ||||
\(86\) | −1.53265 | + | 0.0799903i | −0.165270 | + | 0.00862558i | ||||
\(87\) | −21.1189 | − | 12.1930i | −2.26418 | − | 1.30723i | ||||
\(88\) | −1.13560 | − | 0.436763i | −0.121056 | − | 0.0465591i | ||||
\(89\) | 7.31653 | + | 12.6726i | 0.775551 | + | 1.34329i | 0.934484 | + | 0.356004i | \(0.115861\pi\) |
−0.158933 | + | 0.987289i | \(0.550805\pi\) | |||||||
\(90\) | −23.2104 | − | 11.8326i | −2.44659 | − | 1.24727i | ||||
\(91\) | 3.91848 | + | 4.16028i | 0.410768 | + | 0.436116i | ||||
\(92\) | −1.82879 | + | 1.32748i | −0.190664 | + | 0.138400i | ||||
\(93\) | −0.0301361 | + | 0.112470i | −0.00312497 | + | 0.0116625i | ||||
\(94\) | 4.68993 | + | 0.997935i | 0.483729 | + | 0.102929i | ||||
\(95\) | 0.179361 | + | 0.103554i | 0.0184021 | + | 0.0106244i | ||||
\(96\) | 4.22330 | − | 15.6937i | 0.431039 | − | 1.60173i | ||||
\(97\) | 8.20099i | 0.832684i | 0.909208 | + | 0.416342i | \(0.136688\pi\) | ||||
−0.909208 | + | 0.416342i | \(0.863312\pi\) | |||||||
\(98\) | 7.05370 | − | 6.94589i | 0.712531 | − | 0.701640i | ||||
\(99\) | −1.59813 | + | 1.59813i | −0.160618 | + | 0.160618i | ||||
\(100\) | −5.93921 | + | 13.3242i | −0.593921 | + | 1.33242i | ||||
\(101\) | −5.51164 | + | 1.47684i | −0.548428 | + | 0.146951i | −0.522385 | − | 0.852710i | \(-0.674958\pi\) |
−0.0260436 | + | 0.999661i | \(0.508291\pi\) | |||||||
\(102\) | 10.0635 | − | 6.53224i | 0.996438 | − | 0.646788i | ||||
\(103\) | 10.1668 | − | 5.86980i | 1.00176 | − | 0.578368i | 0.0929938 | − | 0.995667i | \(-0.470356\pi\) |
0.908770 | + | 0.417298i | \(0.137023\pi\) | |||||||
\(104\) | −6.03510 | + | 0.951852i | −0.591790 | + | 0.0933368i | ||||
\(105\) | 26.6399 | + | 0.797365i | 2.59979 | + | 0.0778148i | ||||
\(106\) | −6.76424 | − | 3.44839i | −0.657001 | − | 0.334938i | ||||
\(107\) | 4.07244 | − | 15.1986i | 0.393698 | − | 1.46930i | −0.430289 | − | 0.902691i | \(-0.641588\pi\) |
0.823987 | − | 0.566609i | \(-0.191745\pi\) | |||||||
\(108\) | −10.0615 | − | 8.15484i | −0.968167 | − | 0.784700i | ||||
\(109\) | 4.61813 | − | 1.23743i | 0.442337 | − | 0.118524i | −0.0307746 | − | 0.999526i | \(-0.509797\pi\) |
0.473112 | + | 0.881003i | \(0.343131\pi\) | |||||||
\(110\) | 1.58485 | + | 1.42763i | 0.151110 | + | 0.136119i | ||||
\(111\) | 15.2071 | 1.44340 | ||||||||
\(112\) | 1.88063 | + | 10.4146i | 0.177703 | + | 0.984084i | ||||
\(113\) | 1.99354 | 0.187536 | 0.0937681 | − | 0.995594i | \(-0.470109\pi\) | ||||
0.0937681 | + | 0.995594i | \(0.470109\pi\) | |||||||
\(114\) | 0.178315 | + | 0.160625i | 0.0167007 | + | 0.0150439i | ||||
\(115\) | 3.82674 | − | 1.02537i | 0.356845 | − | 0.0956165i | ||||
\(116\) | −10.6891 | + | 13.1883i | −0.992462 | + | 1.22451i | ||||
\(117\) | −2.93738 | + | 10.9624i | −0.271561 | + | 1.01348i | ||||
\(118\) | −18.8380 | − | 9.60360i | −1.73418 | − | 0.884083i | ||||
\(119\) | −4.10702 | + | 6.64609i | −0.376490 | + | 0.609246i | ||||
\(120\) | −16.7621 | + | 23.0396i | −1.53017 | + | 2.10322i | ||||
\(121\) | −9.36603 | + | 5.40748i | −0.851457 | + | 0.491589i | ||||
\(122\) | −11.4335 | + | 7.42152i | −1.03514 | + | 0.671913i | ||||
\(123\) | −4.20705 | + | 1.12728i | −0.379337 | + | 0.101643i | ||||
\(124\) | 0.0740348 | + | 0.0330008i | 0.00664852 | + | 0.00296356i | ||||
\(125\) | 5.68746 | − | 5.68746i | 0.508702 | − | 0.508702i | ||||
\(126\) | 19.0971 | + | 4.66484i | 1.70131 | + | 0.415577i | ||||
\(127\) | − | 9.25046i | − | 0.820846i | −0.911895 | − | 0.410423i | \(-0.865381\pi\) | ||
0.911895 | − | 0.410423i | \(-0.134619\pi\) | |||||||
\(128\) | −10.3286 | − | 4.61734i | −0.912929 | − | 0.408119i | ||||
\(129\) | 2.70010 | + | 1.55891i | 0.237731 | + | 0.137254i | ||||
\(130\) | 10.4766 | + | 2.22924i | 0.918859 | + | 0.195517i | ||||
\(131\) | 0.887751 | − | 3.31313i | 0.0775632 | − | 0.289470i | −0.916239 | − | 0.400632i | \(-0.868791\pi\) |
0.993802 | + | 0.111162i | \(0.0354573\pi\) | |||||||
\(132\) | 1.45198 | + | 2.00030i | 0.126378 | + | 0.174103i | ||||
\(133\) | −0.149676 | − | 0.0449461i | −0.0129786 | − | 0.00389732i | ||||
\(134\) | 10.9517 | + | 5.58315i | 0.946082 | + | 0.482311i | ||||
\(135\) | 11.3527 | + | 19.6634i | 0.977082 | + | 1.69235i | ||||
\(136\) | −3.39216 | − | 7.63224i | −0.290875 | − | 0.654459i | ||||
\(137\) | −16.4233 | − | 9.48200i | −1.40314 | − | 0.810102i | −0.408424 | − | 0.912792i | \(-0.633922\pi\) |
−0.994713 | + | 0.102690i | \(0.967255\pi\) | |||||||
\(138\) | 4.58454 | − | 0.239271i | 0.390262 | − | 0.0203681i | ||||
\(139\) | 7.19316 | − | 7.19316i | 0.610116 | − | 0.610116i | −0.332860 | − | 0.942976i | \(-0.608014\pi\) |
0.942976 | + | 0.332860i | \(0.108014\pi\) | |||||||
\(140\) | 3.45723 | − | 18.2285i | 0.292190 | − | 1.54059i | ||||
\(141\) | −6.88784 | − | 6.88784i | −0.580061 | − | 0.580061i | ||||
\(142\) | −5.52914 | + | 6.13806i | −0.463995 | + | 0.515094i | ||||
\(143\) | 0.464605 | − | 0.804719i | 0.0388522 | − | 0.0672940i | ||||
\(144\) | −15.6300 | + | 14.0489i | −1.30250 | + | 1.17074i | ||||
\(145\) | 25.7742 | − | 14.8808i | 2.14043 | − | 1.23578i | ||||
\(146\) | 1.65423 | + | 5.09495i | 0.136905 | + | 0.421661i | ||||
\(147\) | −19.7021 | + | 4.03392i | −1.62500 | + | 0.332712i | ||||
\(148\) | 1.66059 | − | 10.4553i | 0.136500 | − | 0.859419i | ||||
\(149\) | −15.1324 | − | 4.05471i | −1.23969 | − | 0.332174i | −0.421346 | − | 0.906900i | \(-0.638442\pi\) |
−0.818346 | + | 0.574726i | \(0.805109\pi\) | |||||||
\(150\) | 24.8578 | − | 16.1352i | 2.02963 | − | 1.31743i | ||||
\(151\) | −7.20876 | + | 12.4859i | −0.586641 | + | 1.01609i | 0.408028 | + | 0.912969i | \(0.366217\pi\) |
−0.994669 | + | 0.103122i | \(0.967117\pi\) | |||||||
\(152\) | 0.129905 | − | 0.105056i | 0.0105367 | − | 0.00852116i | ||||
\(153\) | −15.5146 | −1.25428 | ||||||||
\(154\) | −1.41144 | − | 0.773601i | −0.113737 | − | 0.0623385i | ||||
\(155\) | −0.100483 | − | 0.100483i | −0.00807095 | − | 0.00807095i | ||||
\(156\) | 11.3366 | + | 5.05326i | 0.907655 | + | 0.404585i | ||||
\(157\) | −4.88695 | − | 18.2383i | −0.390021 | − | 1.45558i | −0.830097 | − | 0.557618i | \(-0.811715\pi\) |
0.440076 | − | 0.897960i | \(-0.354951\pi\) | |||||||
\(158\) | 1.66262 | − | 7.81370i | 0.132271 | − | 0.621625i | ||||
\(159\) | 7.71210 | + | 13.3577i | 0.611609 | + | 1.05934i | ||||
\(160\) | 14.0099 | + | 14.0403i | 1.10758 | + | 1.10998i | ||||
\(161\) | −2.63248 | + | 1.41659i | −0.207469 | + | 0.111643i | ||||
\(162\) | 1.24133 | + | 3.82324i | 0.0975282 | + | 0.300382i | ||||
\(163\) | 9.50948 | + | 2.54806i | 0.744840 | + | 0.199579i | 0.611228 | − | 0.791455i | \(-0.290676\pi\) |
0.133612 | + | 0.991034i | \(0.457343\pi\) | |||||||
\(164\) | 0.315628 | + | 3.01555i | 0.0246464 | + | 0.235475i | ||||
\(165\) | −1.12153 | − | 4.18562i | −0.0873113 | − | 0.325850i | ||||
\(166\) | −19.1598 | + | 0.999969i | −1.48709 | + | 0.0776127i | ||||
\(167\) | − | 13.7025i | − | 1.06033i | −0.847894 | − | 0.530165i | \(-0.822130\pi\) | ||
0.847894 | − | 0.530165i | \(-0.177870\pi\) | |||||||
\(168\) | 8.31459 | − | 19.8265i | 0.641485 | − | 1.52965i | ||||
\(169\) | 8.33394i | 0.641072i | ||||||||
\(170\) | 0.763162 | + | 14.6225i | 0.0585318 | + | 1.12150i | ||||
\(171\) | −0.0803223 | − | 0.299767i | −0.00614240 | − | 0.0229238i | ||||
\(172\) | 1.36663 | − | 1.68616i | 0.104205 | − | 0.128568i | ||||
\(173\) | −9.54261 | − | 2.55693i | −0.725511 | − | 0.194400i | −0.122882 | − | 0.992421i | \(-0.539214\pi\) |
−0.602629 | + | 0.798021i | \(0.705880\pi\) | |||||||
\(174\) | 32.8014 | − | 10.6500i | 2.48667 | − | 0.807373i | ||||
\(175\) | −10.1447 | + | 16.4164i | −0.766867 | + | 1.24096i | ||||
\(176\) | 1.53381 | − | 0.779843i | 0.115615 | − | 0.0587829i | ||||
\(177\) | 21.4778 | + | 37.2006i | 1.61437 | + | 2.79617i | ||||
\(178\) | −20.2411 | − | 4.30696i | −1.51714 | − | 0.322820i | ||||
\(179\) | −2.28867 | − | 8.54144i | −0.171063 | − | 0.638417i | −0.997189 | − | 0.0749309i | \(-0.976126\pi\) |
0.826125 | − | 0.563486i | \(-0.190540\pi\) | |||||||
\(180\) | 34.4024 | − | 13.1888i | 2.56420 | − | 0.983032i | ||||
\(181\) | 14.5287 | + | 14.5287i | 1.07991 | + | 1.07991i | 0.996517 | + | 0.0833952i | \(0.0265764\pi\) |
0.0833952 | + | 0.996517i | \(0.473424\pi\) | |||||||
\(182\) | −8.08038 | + | 0.179586i | −0.598958 | + | 0.0133118i | ||||
\(183\) | 27.6914 | 2.04701 | ||||||||
\(184\) | 0.336118 | − | 3.17811i | 0.0247789 | − | 0.234293i | ||||
\(185\) | −9.27965 | + | 16.0728i | −0.682254 | + | 1.18170i | ||||
\(186\) | −0.0896541 | − | 0.138121i | −0.00657376 | − | 0.0101275i | ||||
\(187\) | 1.22697 | + | 0.328765i | 0.0897249 | + | 0.0240417i | ||||
\(188\) | −5.48770 | + | 3.98342i | −0.400232 | + | 0.290521i | ||||
\(189\) | −11.7469 | − | 12.4718i | −0.854462 | − | 0.907191i | ||||
\(190\) | −0.278580 | + | 0.0904495i | −0.0202103 | + | 0.00656189i | ||||
\(191\) | 9.38381 | − | 5.41775i | 0.678989 | − | 0.392014i | −0.120485 | − | 0.992715i | \(-0.538445\pi\) |
0.799474 | + | 0.600701i | \(0.205112\pi\) | |||||||
\(192\) | 12.4928 | + | 19.2921i | 0.901593 | + | 1.39228i | ||||
\(193\) | 4.51840 | − | 7.82609i | 0.325241 | − | 0.563335i | −0.656320 | − | 0.754483i | \(-0.727888\pi\) |
0.981561 | + | 0.191148i | \(0.0612211\pi\) | |||||||
\(194\) | −8.61728 | − | 7.76240i | −0.618684 | − | 0.557308i | ||||
\(195\) | −15.3864 | − | 15.3864i | −1.10185 | − | 1.10185i | ||||
\(196\) | 0.621991 | + | 13.9862i | 0.0444280 | + | 0.999013i | ||||
\(197\) | −5.48439 | + | 5.48439i | −0.390747 | + | 0.390747i | −0.874954 | − | 0.484207i | \(-0.839108\pi\) |
0.484207 | + | 0.874954i | \(0.339108\pi\) | |||||||
\(198\) | −0.166589 | − | 3.19191i | −0.0118390 | − | 0.226839i | ||||
\(199\) | 4.94366 | + | 2.85422i | 0.350447 | + | 0.202331i | 0.664882 | − | 0.746948i | \(-0.268482\pi\) |
−0.314435 | + | 0.949279i | \(0.601815\pi\) | |||||||
\(200\) | −8.37893 | − | 18.8523i | −0.592480 | − | 1.33306i | ||||
\(201\) | −12.4863 | − | 21.6270i | −0.880718 | − | 1.52545i | ||||
\(202\) | 3.66508 | − | 7.18927i | 0.257874 | − | 0.505835i | ||||
\(203\) | −16.3477 | + | 15.3975i | −1.14738 | + | 1.08070i | ||||
\(204\) | −2.66152 | + | 16.7573i | −0.186344 | + | 1.17324i | ||||
\(205\) | 1.37576 | − | 5.13442i | 0.0960876 | − | 0.358604i | ||||
\(206\) | −3.45532 | + | 16.2387i | −0.240744 | + | 1.13141i | ||||
\(207\) | −5.14113 | − | 2.96823i | −0.357333 | − | 0.206306i | ||||
\(208\) | 4.71218 | − | 7.24240i | 0.326731 | − | 0.502170i | ||||
\(209\) | 0.0254092i | 0.00175759i | ||||||||
\(210\) | −26.0530 | + | 27.2374i | −1.79783 | + | 1.87956i | ||||
\(211\) | −16.4028 | + | 16.4028i | −1.12921 | + | 1.12921i | −0.138909 | + | 0.990305i | \(0.544360\pi\) |
−0.990305 | + | 0.138909i | \(0.955640\pi\) | |||||||
\(212\) | 10.0259 | − | 3.84362i | 0.688583 | − | 0.263981i | ||||
\(213\) | 16.2107 | − | 4.34365i | 1.11074 | − | 0.297622i | ||||
\(214\) | 12.1154 | + | 18.6649i | 0.828192 | + | 1.27591i | ||||
\(215\) | −3.29530 | + | 1.90254i | −0.224738 | + | 0.129752i | ||||
\(216\) | 18.0922 | − | 2.85349i | 1.23102 | − | 0.194155i | ||||
\(217\) | 0.0912166 | + | 0.0563683i | 0.00619219 | + | 0.00382653i | ||||
\(218\) | −3.07092 | + | 6.02380i | −0.207989 | + | 0.407983i | ||||
\(219\) | 2.81654 | − | 10.5115i | 0.190324 | − | 0.710300i | ||||
\(220\) | −3.00019 | + | 0.314020i | −0.202273 | + | 0.0211713i | ||||
\(221\) | 6.16127 | − | 1.65091i | 0.414452 | − | 0.111052i | ||||
\(222\) | −14.3939 | + | 15.9791i | −0.966053 | + | 1.07244i | ||||
\(223\) | −2.74928 | −0.184105 | −0.0920527 | − | 0.995754i | \(-0.529343\pi\) | ||||
−0.0920527 | + | 0.995754i | \(0.529343\pi\) | |||||||
\(224\) | −12.7233 | − | 7.88151i | −0.850110 | − | 0.526605i | ||||
\(225\) | −38.3224 | −2.55482 | ||||||||
\(226\) | −1.88692 | + | 2.09473i | −0.125516 | + | 0.139339i | ||||
\(227\) | −3.85972 | + | 1.03421i | −0.256178 | + | 0.0686428i | −0.384622 | − | 0.923074i | \(-0.625668\pi\) |
0.128444 | + | 0.991717i | \(0.459002\pi\) | |||||||
\(228\) | −0.337557 | + | 0.0353311i | −0.0223553 | + | 0.00233986i | ||||
\(229\) | 0.400900 | − | 1.49618i | 0.0264922 | − | 0.0988704i | −0.951414 | − | 0.307915i | \(-0.900369\pi\) |
0.977906 | + | 0.209045i | \(0.0670354\pi\) | |||||||
\(230\) | −2.54467 | + | 4.99153i | −0.167791 | + | 0.329131i | ||||
\(231\) | 1.54944 | + | 2.87936i | 0.101946 | + | 0.189448i | ||||
\(232\) | −3.74028 | − | 23.7148i | −0.245561 | − | 1.55695i | ||||
\(233\) | 12.0193 | − | 6.93937i | 0.787413 | − | 0.454613i | −0.0516381 | − | 0.998666i | \(-0.516444\pi\) |
0.839051 | + | 0.544053i | \(0.183111\pi\) | |||||||
\(234\) | −8.73861 | − | 13.4627i | −0.571261 | − | 0.880082i | ||||
\(235\) | 11.4830 | − | 3.07687i | 0.749070 | − | 0.200713i | ||||
\(236\) | 27.9217 | − | 10.7043i | 1.81755 | − | 0.696789i | ||||
\(237\) | −11.4756 | + | 11.4756i | −0.745418 | + | 0.745418i | ||||
\(238\) | −3.09607 | − | 10.6062i | −0.200688 | − | 0.687495i | ||||
\(239\) | − | 11.0337i | − | 0.713709i | −0.934160 | − | 0.356854i | \(-0.883849\pi\) | ||
0.934160 | − | 0.356854i | \(-0.116151\pi\) | |||||||
\(240\) | −8.34344 | − | 39.4205i | −0.538567 | − | 2.54458i | ||||
\(241\) | −11.1497 | − | 6.43729i | −0.718216 | − | 0.414662i | 0.0958799 | − | 0.995393i | \(-0.469434\pi\) |
−0.814096 | + | 0.580731i | \(0.802767\pi\) | |||||||
\(242\) | 3.18317 | − | 14.9597i | 0.204622 | − | 0.961649i | ||||
\(243\) | −2.91452 | + | 10.8771i | −0.186967 | + | 0.697769i | ||||
\(244\) | 3.02385 | − | 19.0385i | 0.193582 | − | 1.21882i | ||||
\(245\) | 7.75899 | − | 23.2852i | 0.495704 | − | 1.48764i | ||||
\(246\) | 2.79756 | − | 5.48759i | 0.178366 | − | 0.349876i | ||||
\(247\) | 0.0637965 | + | 0.110499i | 0.00405927 | + | 0.00703087i | ||||
\(248\) | −0.104751 | + | 0.0465569i | −0.00665172 | + | 0.00295637i | ||||
\(249\) | 33.7544 | + | 19.4881i | 2.13910 | + | 1.23501i | ||||
\(250\) | 0.592860 | + | 11.3595i | 0.0374958 | + | 0.718435i | ||||
\(251\) | −16.2376 | + | 16.2376i | −1.02491 | + | 1.02491i | −0.0252236 | + | 0.999682i | \(0.508030\pi\) |
−0.999682 | + | 0.0252236i | \(0.991970\pi\) | |||||||
\(252\) | −22.9774 | + | 15.6511i | −1.44744 | + | 0.985928i | ||||
\(253\) | 0.343687 | + | 0.343687i | 0.0216074 | + | 0.0216074i | ||||
\(254\) | 9.72002 | + | 8.75575i | 0.609888 | + | 0.549385i | ||||
\(255\) | 14.8730 | − | 25.7608i | 0.931385 | − | 1.61321i | ||||
\(256\) | 14.6280 | − | 6.48249i | 0.914248 | − | 0.405155i | ||||
\(257\) | −4.49344 | + | 2.59429i | −0.280293 | + | 0.161827i | −0.633556 | − | 0.773697i | \(-0.718405\pi\) |
0.353263 | + | 0.935524i | \(0.385072\pi\) | |||||||
\(258\) | −4.19374 | + | 1.36163i | −0.261091 | + | 0.0847712i | ||||
\(259\) | 4.02769 | − | 13.4127i | 0.250268 | − | 0.833426i | ||||
\(260\) | −12.2587 | + | 8.89838i | −0.760254 | + | 0.551854i | ||||
\(261\) | −43.0766 | − | 11.5423i | −2.66637 | − | 0.714453i | ||||
\(262\) | 2.64103 | + | 4.06876i | 0.163164 | + | 0.251369i | ||||
\(263\) | 13.2008 | − | 22.8645i | 0.813996 | − | 1.40988i | −0.0960501 | − | 0.995377i | \(-0.530621\pi\) |
0.910046 | − | 0.414506i | \(-0.136046\pi\) | |||||||
\(264\) | −3.47616 | − | 0.367640i | −0.213943 | − | 0.0226267i | ||||
\(265\) | −18.8242 | −1.15636 | ||||||||
\(266\) | 0.188899 | − | 0.114732i | 0.0115822 | − | 0.00703464i | ||||
\(267\) | 29.7271 | + | 29.7271i | 1.81927 | + | 1.81927i | ||||
\(268\) | −16.2326 | + | 6.22304i | −0.991561 | + | 0.380133i | ||||
\(269\) | 1.45849 | + | 5.44318i | 0.0889260 | + | 0.331876i | 0.996029 | − | 0.0890331i | \(-0.0283777\pi\) |
−0.907103 | + | 0.420909i | \(0.861711\pi\) | |||||||
\(270\) | −31.4070 | − | 6.68287i | −1.91137 | − | 0.406707i | ||||
\(271\) | −5.01115 | − | 8.67957i | −0.304406 | − | 0.527246i | 0.672723 | − | 0.739894i | \(-0.265125\pi\) |
−0.977129 | + | 0.212648i | \(0.931791\pi\) | |||||||
\(272\) | 11.2304 | + | 3.65973i | 0.680944 | + | 0.221903i | ||||
\(273\) | 13.9676 | + | 8.63142i | 0.845357 | + | 0.522397i | ||||
\(274\) | 25.5083 | − | 8.28206i | 1.54101 | − | 0.500337i | ||||
\(275\) | 3.03072 | + | 0.812079i | 0.182759 | + | 0.0489702i | ||||
\(276\) | −4.08794 | + | 5.04373i | −0.246065 | + | 0.303597i | ||||
\(277\) | 7.72596 | + | 28.8337i | 0.464208 | + | 1.73245i | 0.659502 | + | 0.751703i | \(0.270767\pi\) |
−0.195294 | + | 0.980745i | \(0.562566\pi\) | |||||||
\(278\) | 0.749814 | + | 14.3668i | 0.0449709 | + | 0.861661i | ||||
\(279\) | 0.212935i | 0.0127481i | ||||||||
\(280\) | 15.8815 | + | 20.8864i | 0.949099 | + | 1.24820i | ||||
\(281\) | − | 4.50000i | − | 0.268448i | −0.990951 | − | 0.134224i | \(-0.957146\pi\) | ||
0.990951 | − | 0.134224i | \(-0.0428541\pi\) | |||||||
\(282\) | 13.7570 | − | 0.717988i | 0.819215 | − | 0.0427556i | ||||
\(283\) | −0.713205 | − | 2.66172i | −0.0423957 | − | 0.158223i | 0.941483 | − | 0.337061i | \(-0.109433\pi\) |
−0.983879 | + | 0.178838i | \(0.942766\pi\) | |||||||
\(284\) | −1.21619 | − | 11.6196i | −0.0721674 | − | 0.689496i | ||||
\(285\) | 0.574742 | + | 0.154002i | 0.0340448 | + | 0.00912228i | ||||
\(286\) | 0.405809 | + | 1.24987i | 0.0239960 | + | 0.0739065i | ||||
\(287\) | −0.120000 | + | 4.00919i | −0.00708338 | + | 0.236655i | ||||
\(288\) | 0.0321410 | − | 29.7210i | 0.00189393 | − | 1.75133i | ||||
\(289\) | −4.14014 | − | 7.17093i | −0.243537 | − | 0.421819i | ||||
\(290\) | −8.75973 | + | 41.1675i | −0.514389 | + | 2.41744i | ||||
\(291\) | 6.09809 | + | 22.7584i | 0.357477 | + | 1.33412i | ||||
\(292\) | −6.91934 | − | 3.08428i | −0.404924 | − | 0.180494i | ||||
\(293\) | −6.10508 | − | 6.10508i | −0.356662 | − | 0.356662i | 0.505919 | − | 0.862581i | \(-0.331154\pi\) |
−0.862581 | + | 0.505919i | \(0.831154\pi\) | |||||||
\(294\) | 14.4098 | − | 24.5204i | 0.840394 | − | 1.43006i | ||||
\(295\) | −52.4244 | −3.05227 | ||||||||
\(296\) | 9.41422 | + | 11.6410i | 0.547190 | + | 0.676621i | ||||
\(297\) | −1.39280 | + | 2.41241i | −0.0808187 | + | 0.139982i | ||||
\(298\) | 18.5836 | − | 12.0626i | 1.07652 | − | 0.698770i | ||||
\(299\) | 2.35754 | + | 0.631700i | 0.136340 | + | 0.0365321i | ||||
\(300\) | −6.57419 | + | 41.3919i | −0.379561 | + | 2.38976i | ||||
\(301\) | 2.09010 | − | 1.96861i | 0.120471 | − | 0.113469i | ||||
\(302\) | −6.29649 | − | 19.3929i | −0.362323 | − | 1.11594i | ||||
\(303\) | −14.1971 | + | 8.19669i | −0.815601 | + | 0.470888i | ||||
\(304\) | −0.0125696 | + | 0.235937i | −0.000720918 | + | 0.0135319i | ||||
\(305\) | −16.8978 | + | 29.2678i | −0.967564 | + | 1.67587i | ||||
\(306\) | 14.6849 | − | 16.3021i | 0.839478 | − | 0.931929i | ||||
\(307\) | −1.15151 | − | 1.15151i | −0.0657200 | − | 0.0657200i | 0.673483 | − | 0.739203i | \(-0.264798\pi\) |
−0.739203 | + | 0.673483i | \(0.764798\pi\) | |||||||
\(308\) | 2.14883 | − | 0.750859i | 0.122441 | − | 0.0427842i | ||||
\(309\) | 23.8490 | − | 23.8490i | 1.35672 | − | 1.35672i | ||||
\(310\) | 0.200692 | − | 0.0104743i | 0.0113985 | − | 0.000594900i | ||||
\(311\) | 7.05667 | + | 4.07417i | 0.400147 | + | 0.231025i | 0.686547 | − | 0.727085i | \(-0.259125\pi\) |
−0.286400 | + | 0.958110i | \(0.592459\pi\) | |||||||
\(312\) | −16.0401 | + | 7.12905i | −0.908092 | + | 0.403603i | ||||
\(313\) | −15.2526 | − | 26.4183i | −0.862130 | − | 1.49325i | −0.869869 | − | 0.493283i | \(-0.835797\pi\) |
0.00773906 | − | 0.999970i | \(-0.497537\pi\) | |||||||
\(314\) | 23.7897 | + | 12.1280i | 1.34253 | + | 0.684420i | ||||
\(315\) | 47.4353 | − | 11.2006i | 2.67268 | − | 0.631084i | ||||
\(316\) | 6.63663 | + | 9.14285i | 0.373339 | + | 0.514325i | ||||
\(317\) | −3.64621 | + | 13.6079i | −0.204792 | + | 0.764293i | 0.784721 | + | 0.619849i | \(0.212806\pi\) |
−0.989513 | + | 0.144444i | \(0.953861\pi\) | |||||||
\(318\) | −21.3355 | − | 4.53981i | −1.19643 | − | 0.254580i | ||||
\(319\) | 3.16212 | + | 1.82565i | 0.177045 | + | 0.102217i | ||||
\(320\) | −28.0136 | + | 1.43168i | −1.56601 | + | 0.0800334i | ||||
\(321\) | − | 45.2054i | − | 2.52312i | ||||||
\(322\) | 1.00320 | − | 4.10694i | 0.0559062 | − | 0.228871i | ||||
\(323\) | −0.123336 | + | 0.123336i | −0.00686257 | + | 0.00686257i | ||||
\(324\) | −5.19225 | − | 2.31443i | −0.288459 | − | 0.128580i | ||||
\(325\) | 15.2189 | − | 4.07789i | 0.844192 | − | 0.226200i | ||||
\(326\) | −11.6783 | + | 7.58040i | −0.646802 | + | 0.419839i | ||||
\(327\) | 11.8956 | − | 6.86791i | 0.657826 | − | 0.379796i | ||||
\(328\) | −3.46737 | − | 2.52263i | −0.191453 | − | 0.139289i | ||||
\(329\) | −7.89937 | + | 4.25081i | −0.435507 | + | 0.234355i | ||||
\(330\) | 5.45964 | + | 2.78331i | 0.300543 | + | 0.153216i | ||||
\(331\) | 5.47287 | − | 20.4250i | 0.300816 | − | 1.12266i | −0.635671 | − | 0.771960i | \(-0.719276\pi\) |
0.936487 | − | 0.350702i | \(-0.114057\pi\) | |||||||
\(332\) | 17.0845 | − | 21.0789i | 0.937632 | − | 1.15686i | ||||
\(333\) | 26.8626 | − | 7.19781i | 1.47206 | − | 0.394437i | ||||
\(334\) | 14.3980 | + | 12.9697i | 0.787826 | + | 0.709670i | ||||
\(335\) | 30.4775 | 1.66516 | ||||||||
\(336\) | 12.9630 | + | 27.5029i | 0.707188 | + | 1.50040i | ||||
\(337\) | 19.5138 | 1.06299 | 0.531493 | − | 0.847063i | \(-0.321631\pi\) | ||||
0.531493 | + | 0.847063i | \(0.321631\pi\) | |||||||
\(338\) | −8.75698 | − | 7.88825i | −0.476317 | − | 0.429064i | ||||
\(339\) | 5.53223 | − | 1.48236i | 0.300469 | − | 0.0805105i | ||||
\(340\) | −16.0871 | − | 13.0386i | −0.872446 | − | 0.707118i | ||||
\(341\) | 0.00451226 | − | 0.0168400i | 0.000244353 | − | 0.000911936i | ||||
\(342\) | 0.391010 | + | 0.199336i | 0.0211434 | + | 0.0107789i | ||||
\(343\) | −1.66027 | + | 18.4457i | −0.0896464 | + | 0.995974i | ||||
\(344\) | 0.478204 | + | 3.03199i | 0.0257830 | + | 0.163474i | ||||
\(345\) | 9.85707 | − | 5.69098i | 0.530687 | − | 0.306392i | ||||
\(346\) | 11.7190 | − | 7.60681i | 0.630018 | − | 0.408945i | ||||
\(347\) | −19.1437 | + | 5.12954i | −1.02769 | + | 0.275368i | −0.733003 | − | 0.680226i | \(-0.761882\pi\) |
−0.294686 | + | 0.955594i | \(0.595215\pi\) | |||||||
\(348\) | −19.8566 | + | 44.5469i | −1.06443 | + | 2.38796i | ||||
\(349\) | −19.0596 | + | 19.0596i | −1.02024 | + | 1.02024i | −0.0204443 | + | 0.999791i | \(0.506508\pi\) |
−0.999791 | + | 0.0204443i | \(0.993492\pi\) | |||||||
\(350\) | −7.64756 | − | 26.1981i | −0.408779 | − | 1.40035i | ||||
\(351\) | 13.9880i | 0.746626i | ||||||||
\(352\) | −0.632352 | + | 2.34980i | −0.0337045 | + | 0.125245i | ||||
\(353\) | 4.19619 | + | 2.42267i | 0.223340 | + | 0.128946i | 0.607496 | − | 0.794323i | \(-0.292174\pi\) |
−0.384156 | + | 0.923268i | \(0.625507\pi\) | |||||||
\(354\) | −59.4181 | − | 12.6431i | −3.15804 | − | 0.671976i | ||||
\(355\) | −5.30114 | + | 19.7841i | −0.281355 | + | 1.05003i | ||||
\(356\) | 23.6842 | − | 17.1920i | 1.25526 | − | 0.911172i | ||||
\(357\) | −6.45540 | + | 21.4973i | −0.341656 | + | 1.13776i | ||||
\(358\) | 11.1413 | + | 5.67981i | 0.588835 | + | 0.300187i | ||||
\(359\) | 11.4220 | + | 19.7835i | 0.602832 | + | 1.04414i | 0.992390 | + | 0.123134i | \(0.0392944\pi\) |
−0.389558 | + | 0.921002i | \(0.627372\pi\) | |||||||
\(360\) | −18.7043 | + | 48.6321i | −0.985804 | + | 2.56314i | ||||
\(361\) | 16.4515 | + | 9.49826i | 0.865866 | + | 0.499908i | ||||
\(362\) | −29.0180 | + | 1.51447i | −1.52515 | + | 0.0795990i | ||||
\(363\) | −21.9706 | + | 21.9706i | −1.15316 | + | 1.15316i | ||||
\(364\) | 7.45955 | − | 8.66053i | 0.390987 | − | 0.453935i | ||||
\(365\) | 9.39117 | + | 9.39117i | 0.491556 | + | 0.491556i | ||||
\(366\) | −26.2105 | + | 29.0971i | −1.37005 | + | 1.52093i | ||||
\(367\) | 7.04890 | − | 12.2090i | 0.367949 | − | 0.637307i | −0.621295 | − | 0.783576i | \(-0.713393\pi\) |
0.989245 | + | 0.146269i | \(0.0467266\pi\) | |||||||
\(368\) | 3.02129 | + | 3.36133i | 0.157496 | + | 0.175221i | ||||
\(369\) | −6.89797 | + | 3.98254i | −0.359094 | + | 0.207323i | ||||
\(370\) | −8.10531 | − | 24.9640i | −0.421375 | − | 1.29781i | ||||
\(371\) | 13.8241 | − | 3.26422i | 0.717714 | − | 0.169470i | ||||
\(372\) | 0.229991 | + | 0.0365290i | 0.0119245 | + | 0.00189394i | ||||
\(373\) | 24.3902 | + | 6.53532i | 1.26287 | + | 0.338386i | 0.827297 | − | 0.561765i | \(-0.189878\pi\) |
0.435577 | + | 0.900151i | \(0.356544\pi\) | |||||||
\(374\) | −1.50681 | + | 0.978068i | −0.0779151 | + | 0.0505747i | ||||
\(375\) | 11.5541 | − | 20.0122i | 0.596650 | − | 1.03343i | ||||
\(376\) | 1.00860 | − | 9.53666i | 0.0520146 | − | 0.491816i | ||||
\(377\) | 18.3351 | 0.944308 | ||||||||
\(378\) | 24.2236 | − | 0.538368i | 1.24593 | − | 0.0276907i | ||||
\(379\) | −13.1964 | − | 13.1964i | −0.677853 | − | 0.677853i | 0.281661 | − | 0.959514i | \(-0.409115\pi\) |
−0.959514 | + | 0.281661i | \(0.909115\pi\) | |||||||
\(380\) | 0.168641 | − | 0.378333i | 0.00865109 | − | 0.0194081i | ||||
\(381\) | −6.87846 | − | 25.6708i | −0.352394 | − | 1.31515i | ||||
\(382\) | −3.18922 | + | 14.9882i | −0.163175 | + | 0.766861i | ||||
\(383\) | 11.2811 | + | 19.5394i | 0.576435 | + | 0.998414i | 0.995884 | + | 0.0906356i | \(0.0288899\pi\) |
−0.419449 | + | 0.907779i | \(0.637777\pi\) | |||||||
\(384\) | −32.0961 | − | 5.13334i | −1.63790 | − | 0.261960i | ||||
\(385\) | −3.98877 | − | 0.119389i | −0.203287 | − | 0.00608462i | ||||
\(386\) | 3.94659 | + | 12.1553i | 0.200876 | + | 0.618689i | ||||
\(387\) | 5.50745 | + | 1.47572i | 0.279959 | + | 0.0750149i | ||||
\(388\) | 16.3129 | − | 1.70742i | 0.828160 | − | 0.0866810i | ||||
\(389\) | −4.34920 | − | 16.2314i | −0.220513 | − | 0.822966i | −0.984153 | − | 0.177323i | \(-0.943256\pi\) |
0.763640 | − | 0.645643i | \(-0.223410\pi\) | |||||||
\(390\) | 30.7310 | − | 1.60388i | 1.55613 | − | 0.0812156i | ||||
\(391\) | 3.33650i | 0.168734i | ||||||||
\(392\) | −15.2849 | − | 12.5846i | −0.772002 | − | 0.635620i | ||||
\(393\) | − | 9.85432i | − | 0.497085i | ||||||
\(394\) | −0.571693 | − | 10.9539i | −0.0288015 | − | 0.551848i | ||||
\(395\) | −5.12625 | − | 19.1314i | −0.257930 | − | 0.962606i | ||||
\(396\) | 3.51162 | + | 2.84617i | 0.176465 | + | 0.143025i | ||||
\(397\) | 22.7937 | + | 6.10755i | 1.14398 | + | 0.306529i | 0.780551 | − | 0.625092i | \(-0.214938\pi\) |
0.363431 | + | 0.931621i | \(0.381605\pi\) | |||||||
\(398\) | −7.67838 | + | 2.49302i | −0.384883 | + | 0.124964i | ||||
\(399\) | −0.448785 | − | 0.0134327i | −0.0224673 | − | 0.000672475i | ||||
\(400\) | 27.7401 | + | 9.03984i | 1.38700 | + | 0.451992i | ||||
\(401\) | −4.60622 | − | 7.97820i | −0.230023 | − | 0.398412i | 0.727791 | − | 0.685799i | \(-0.240547\pi\) |
−0.957815 | + | 0.287386i | \(0.907214\pi\) | |||||||
\(402\) | 34.5433 | + | 7.35022i | 1.72286 | + | 0.366596i | ||||
\(403\) | −0.0226585 | − | 0.0845626i | −0.00112870 | − | 0.00421236i | ||||
\(404\) | 4.08513 | + | 10.6559i | 0.203243 | + | 0.530151i | ||||
\(405\) | 7.04710 | + | 7.04710i | 0.350173 | + | 0.350173i | ||||
\(406\) | −0.705678 | − | 31.7516i | −0.0350222 | − | 1.57581i | ||||
\(407\) | −2.27695 | −0.112864 | ||||||||
\(408\) | −15.0887 | − | 18.6577i | −0.747002 | − | 0.923695i | ||||
\(409\) | −10.9481 | + | 18.9626i | −0.541347 | + | 0.937640i | 0.457480 | + | 0.889220i | \(0.348752\pi\) |
−0.998827 | + | 0.0484204i | \(0.984581\pi\) | |||||||
\(410\) | 4.09286 | + | 6.30544i | 0.202132 | + | 0.311403i | ||||
\(411\) | −52.6266 | − | 14.1013i | −2.59588 | − | 0.695564i | ||||
\(412\) | −13.7925 | − | 19.0010i | −0.679508 | − | 0.936114i | ||||
\(413\) | 38.4995 | − | 9.09067i | 1.89444 | − | 0.447323i | ||||
\(414\) | 7.98508 | − | 2.59260i | 0.392446 | − | 0.127419i | ||||
\(415\) | −41.1950 | + | 23.7839i | −2.02218 | + | 1.16751i | ||||
\(416\) | 3.14985 | + | 11.8065i | 0.154434 | + | 0.578859i | ||||
\(417\) | 14.6129 | − | 25.3103i | 0.715596 | − | 1.23945i | ||||
\(418\) | −0.0266989 | − | 0.0240503i | −0.00130589 | − | 0.00117634i | ||||
\(419\) | −20.3219 | − | 20.3219i | −0.992790 | − | 0.992790i | 0.00718417 | − | 0.999974i | \(-0.497713\pi\) |
−0.999974 | + | 0.00718417i | \(0.997713\pi\) | |||||||
\(420\) | −3.96027 | − | 53.1563i | −0.193241 | − | 2.59376i | ||||
\(421\) | −23.7959 | + | 23.7959i | −1.15974 | + | 1.15974i | −0.175210 | + | 0.984531i | \(0.556060\pi\) |
−0.984531 | + | 0.175210i | \(0.943940\pi\) | |||||||
\(422\) | −1.70983 | − | 32.7610i | −0.0832330 | − | 1.59478i | ||||
\(423\) | −15.4271 | − | 8.90687i | −0.750093 | − | 0.433067i | ||||
\(424\) | −5.45103 | + | 14.1729i | −0.264725 | + | 0.688298i | ||||
\(425\) | 10.7692 | + | 18.6529i | 0.522385 | + | 0.904798i | ||||
\(426\) | −10.7797 | + | 21.1450i | −0.522276 | + | 1.02448i | ||||
\(427\) | 7.33422 | − | 24.4239i | 0.354928 | − | 1.18195i | ||||
\(428\) | −31.0798 | − | 4.93635i | −1.50230 | − | 0.238607i | ||||
\(429\) | 0.690942 | − | 2.57863i | 0.0333590 | − | 0.124497i | ||||
\(430\) | 1.11995 | − | 5.26337i | 0.0540089 | − | 0.253822i | ||||
\(431\) | −12.9567 | − | 7.48055i | −0.624102 | − | 0.360325i | 0.154363 | − | 0.988014i | \(-0.450668\pi\) |
−0.778464 | + | 0.627689i | \(0.784001\pi\) | |||||||
\(432\) | −14.1263 | + | 21.7115i | −0.679652 | + | 1.04459i | ||||
\(433\) | 22.5541i | 1.08388i | 0.840417 | + | 0.541941i | \(0.182310\pi\) | ||||
−0.840417 | + | 0.541941i | \(0.817690\pi\) | |||||||
\(434\) | −0.145568 | + | 0.0424931i | −0.00698749 | + | 0.00203974i | ||||
\(435\) | 60.4605 | − | 60.4605i | 2.89886 | − | 2.89886i | ||||
\(436\) | −3.42288 | − | 8.92846i | −0.163926 | − | 0.427596i | ||||
\(437\) | −0.0644666 | + | 0.0172738i | −0.00308386 | + | 0.000826317i | ||||
\(438\) | 8.37914 | + | 12.9088i | 0.400371 | + | 0.616809i | ||||
\(439\) | −4.64748 | + | 2.68322i | −0.221812 | + | 0.128063i | −0.606789 | − | 0.794863i | \(-0.707543\pi\) |
0.384977 | + | 0.922926i | \(0.374209\pi\) | |||||||
\(440\) | 2.50978 | − | 3.44971i | 0.119649 | − | 0.164458i | ||||
\(441\) | −32.8934 | + | 16.4511i | −1.56635 | + | 0.783384i | ||||
\(442\) | −4.09706 | + | 8.03664i | −0.194877 | + | 0.382264i | ||||
\(443\) | 2.45432 | − | 9.15965i | 0.116608 | − | 0.435188i | −0.882794 | − | 0.469760i | \(-0.844340\pi\) |
0.999402 | + | 0.0345725i | \(0.0110070\pi\) | |||||||
\(444\) | −3.16607 | − | 30.2490i | −0.150255 | − | 1.43556i | ||||
\(445\) | −49.5593 | + | 13.2794i | −2.34934 | + | 0.629503i | ||||
\(446\) | 2.60225 | − | 2.88884i | 0.123220 | − | 0.136790i | ||||
\(447\) | −45.0085 | −2.12883 | ||||||||
\(448\) | 20.3244 | − | 5.90911i | 0.960239 | − | 0.279179i | ||||
\(449\) | 15.0862 | 0.711963 | 0.355981 | − | 0.934493i | \(-0.384147\pi\) | ||||
0.355981 | + | 0.934493i | \(0.384147\pi\) | |||||||
\(450\) | 36.2729 | − | 40.2676i | 1.70992 | − | 1.89823i | ||||
\(451\) | 0.629918 | − | 0.168786i | 0.0296617 | − | 0.00794783i | ||||
\(452\) | −0.415048 | − | 3.96541i | −0.0195222 | − | 0.186517i | ||||
\(453\) | −10.7206 | + | 40.0098i | −0.503697 | + | 1.87982i | ||||
\(454\) | 2.56660 | − | 5.03454i | 0.120456 | − | 0.236283i | ||||
\(455\) | −17.6460 | + | 9.49568i | −0.827259 | + | 0.445165i | ||||
\(456\) | 0.282381 | − | 0.388134i | 0.0132237 | − | 0.0181760i | ||||
\(457\) | 11.4617 | − | 6.61742i | 0.536156 | − | 0.309550i | −0.207364 | − | 0.978264i | \(-0.566488\pi\) |
0.743520 | + | 0.668714i | \(0.233155\pi\) | |||||||
\(458\) | 1.19267 | + | 1.83742i | 0.0557297 | + | 0.0858568i | ||||
\(459\) | −18.4704 | + | 4.94914i | −0.862126 | + | 0.231006i | ||||
\(460\) | −2.83632 | − | 7.39842i | −0.132244 | − | 0.344953i | ||||
\(461\) | 2.15151 | − | 2.15151i | 0.100206 | − | 0.100206i | −0.655227 | − | 0.755432i | \(-0.727427\pi\) |
0.755432 | + | 0.655227i | \(0.227427\pi\) | |||||||
\(462\) | −4.49210 | − | 1.09728i | −0.208991 | − | 0.0510502i | ||||
\(463\) | − | 16.3798i | − | 0.761232i | −0.924733 | − | 0.380616i | \(-0.875712\pi\) | ||
0.924733 | − | 0.380616i | \(-0.124288\pi\) | |||||||
\(464\) | 28.4588 | + | 18.5164i | 1.32117 | + | 0.859601i | ||||
\(465\) | −0.353564 | − | 0.204130i | −0.0163961 | − | 0.00946631i | ||||
\(466\) | −4.08494 | + | 19.1977i | −0.189231 | + | 0.889316i | ||||
\(467\) | 10.1614 | − | 37.9227i | 0.470212 | − | 1.75485i | −0.168792 | − | 0.985652i | \(-0.553987\pi\) |
0.639004 | − | 0.769203i | \(-0.279347\pi\) | |||||||
\(468\) | 22.4173 | + | 3.56050i | 1.03624 | + | 0.164584i | ||||
\(469\) | −22.3821 | + | 5.28495i | −1.03351 | + | 0.244036i | ||||
\(470\) | −7.63587 | + | 14.9782i | −0.352217 | + | 0.690894i | ||||
\(471\) | −27.1234 | − | 46.9790i | −1.24978 | − | 2.16468i | ||||
\(472\) | −15.1808 | + | 39.4708i | −0.698754 | + | 1.81679i | ||||
\(473\) | −0.404285 | − | 0.233414i | −0.0185890 | − | 0.0107324i | ||||
\(474\) | −1.19621 | − | 22.9199i | −0.0549438 | − | 1.05275i | ||||
\(475\) | −0.304650 | + | 0.304650i | −0.0139783 | + | 0.0139783i | ||||
\(476\) | 14.0750 | + | 6.78572i | 0.645128 | + | 0.311023i | ||||
\(477\) | 19.9455 | + | 19.9455i | 0.913240 | + | 0.913240i | ||||
\(478\) | 11.5938 | + | 10.4436i | 0.530286 | + | 0.477679i | ||||
\(479\) | −11.7673 | + | 20.3816i | −0.537662 | + | 0.931257i | 0.461368 | + | 0.887209i | \(0.347359\pi\) |
−0.999029 | + | 0.0440483i | \(0.985974\pi\) | |||||||
\(480\) | 49.3187 | + | 28.5453i | 2.25108 | + | 1.30291i | ||||
\(481\) | −9.90197 | + | 5.71690i | −0.451491 | + | 0.260668i | ||||
\(482\) | 17.3175 | − | 5.62265i | 0.788789 | − | 0.256105i | ||||
\(483\) | −6.25200 | + | 5.88861i | −0.284476 | + | 0.267941i | ||||
\(484\) | 12.7062 | + | 17.5045i | 0.577553 | + | 0.795657i | ||||
\(485\) | −27.7751 | − | 7.44232i | −1.26120 | − | 0.337938i | ||||
\(486\) | −8.67061 | − | 13.3579i | −0.393307 | − | 0.605927i | ||||
\(487\) | −5.48933 | + | 9.50779i | −0.248745 | + | 0.430839i | −0.963178 | − | 0.268865i | \(-0.913351\pi\) |
0.714433 | + | 0.699704i | \(0.246685\pi\) | |||||||
\(488\) | 17.1428 | + | 21.1977i | 0.776019 | + | 0.959576i | ||||
\(489\) | 28.2842 | 1.27906 | ||||||||
\(490\) | 17.1232 | + | 30.1928i | 0.773546 | + | 1.36397i | ||||
\(491\) | 5.88999 | + | 5.88999i | 0.265812 | + | 0.265812i | 0.827410 | − | 0.561598i | \(-0.189813\pi\) |
−0.561598 | + | 0.827410i | \(0.689813\pi\) | |||||||
\(492\) | 3.11819 | + | 8.13369i | 0.140579 | + | 0.366695i | ||||
\(493\) | 6.48719 | + | 24.2105i | 0.292169 | + | 1.09039i | ||||
\(494\) | −0.176493 | − | 0.0375545i | −0.00794077 | − | 0.00168966i | ||||
\(495\) | −3.96226 | − | 6.86283i | −0.178090 | − | 0.308461i | ||||
\(496\) | 0.0502292 | − | 0.154136i | 0.00225536 | − | 0.00692090i | ||||
\(497\) | 0.462388 | − | 15.4483i | 0.0207409 | − | 0.692952i | ||||
\(498\) | −52.4265 | + | 17.0219i | −2.34929 | + | 0.762769i | ||||
\(499\) | −13.4386 | − | 3.60087i | −0.601596 | − | 0.161197i | −0.0548483 | − | 0.998495i | \(-0.517468\pi\) |
−0.546747 | + | 0.837298i | \(0.684134\pi\) | |||||||
\(500\) | −12.4972 | − | 10.1290i | −0.558893 | − | 0.452983i | ||||
\(501\) | −10.1889 | − | 38.0255i | −0.455207 | − | 1.69885i | ||||
\(502\) | −1.69260 | − | 32.4310i | −0.0755445 | − | 1.44747i | ||||
\(503\) | 2.74125i | 0.122226i | 0.998131 | + | 0.0611131i | \(0.0194650\pi\) | ||||
−0.998131 | + | 0.0611131i | \(0.980535\pi\) | |||||||
\(504\) | 5.30305 | − | 38.9579i | 0.236216 | − | 1.73532i | ||||
\(505\) | − | 20.0070i | − | 0.890302i | ||||||
\(506\) | −0.686439 | + | 0.0358259i | −0.0305159 | + | 0.00159265i | ||||
\(507\) | 6.19696 | + | 23.1274i | 0.275216 | + | 1.02712i | ||||
\(508\) | −18.4004 | + | 1.92591i | −0.816386 | + | 0.0854486i | ||||
\(509\) | −11.5073 | − | 3.08338i | −0.510053 | − | 0.136668i | −0.00539128 | − | 0.999985i | \(-0.501716\pi\) |
−0.504662 | + | 0.863317i | \(0.668383\pi\) | |||||||
\(510\) | 12.9908 | + | 40.0111i | 0.575244 | + | 1.77172i | ||||
\(511\) | −8.52517 | − | 5.26822i | −0.377131 | − | 0.233052i | ||||
\(512\) | −7.03413 | + | 21.5063i | −0.310868 | + | 0.950453i | ||||
\(513\) | −0.191251 | − | 0.331256i | −0.00844393 | − | 0.0146253i | ||||
\(514\) | 1.52716 | − | 7.17708i | 0.0673600 | − | 0.316567i | ||||
\(515\) | 10.6536 | + | 39.7597i | 0.469453 | + | 1.75202i | ||||
\(516\) | 2.53872 | − | 5.69543i | 0.111761 | − | 0.250727i | ||||
\(517\) | 1.03131 | + | 1.03131i | 0.0453570 | + | 0.0453570i | ||||
\(518\) | 10.2813 | + | 16.9276i | 0.451733 | + | 0.743754i | ||||
\(519\) | −28.3828 | −1.24587 | ||||||||
\(520\) | 2.25306 | − | 21.3035i | 0.0988034 | − | 0.934220i | ||||
\(521\) | 16.9324 | − | 29.3278i | 0.741824 | − | 1.28488i | −0.209840 | − | 0.977736i | \(-0.567294\pi\) |
0.951664 | − | 0.307141i | \(-0.0993722\pi\) | |||||||
\(522\) | 52.9011 | − | 34.3381i | 2.31542 | − | 1.50294i | ||||
\(523\) | 16.8511 | + | 4.51523i | 0.736845 | + | 0.197437i | 0.607675 | − | 0.794185i | \(-0.292102\pi\) |
0.129170 | + | 0.991623i | \(0.458769\pi\) | |||||||
\(524\) | −6.77509 | − | 1.07607i | −0.295971 | − | 0.0470085i | ||||
\(525\) | −15.9454 | + | 53.1003i | −0.695915 | + | 2.31749i | ||||
\(526\) | 11.5302 | + | 35.5126i | 0.502742 | + | 1.54842i | ||||
\(527\) | 0.103643 | − | 0.0598385i | 0.00451478 | − | 0.00260661i | ||||
\(528\) | 3.67656 | − | 3.30463i | 0.160002 | − | 0.143816i | ||||
\(529\) | 10.8617 | − | 18.8130i | 0.472246 | − | 0.817955i | ||||
\(530\) | 17.8175 | − | 19.7797i | 0.773943 | − | 0.859177i | ||||
\(531\) | 55.5471 | + | 55.5471i | 2.41054 | + | 2.41054i | ||||
\(532\) | −0.0582418 | + | 0.307084i | −0.00252510 | + | 0.0133138i | ||||
\(533\) | 2.31559 | − | 2.31559i | 0.100299 | − | 0.100299i | ||||
\(534\) | −59.3733 | + | 3.09875i | −2.56933 | + | 0.134096i | ||||
\(535\) | 47.7788 | + | 27.5851i | 2.06566 | + | 1.19261i | ||||
\(536\) | 8.82553 | − | 22.9468i | 0.381205 | − | 0.991150i | ||||
\(537\) | −12.7025 | − | 22.0014i | −0.548153 | − | 0.949429i | ||||
\(538\) | −7.09997 | − | 3.61955i | −0.306102 | − | 0.156050i | ||||
\(539\) | 2.94998 | − | 0.603997i | 0.127065 | − | 0.0260160i | ||||
\(540\) | 36.7495 | − | 26.6758i | 1.58145 | − | 1.14794i | ||||
\(541\) | −0.332723 | + | 1.24174i | −0.0143049 | + | 0.0533866i | −0.972709 | − | 0.232027i | \(-0.925464\pi\) |
0.958404 | + | 0.285413i | \(0.0921309\pi\) | |||||||
\(542\) | 13.8633 | + | 2.94987i | 0.595480 | + | 0.126708i | ||||
\(543\) | 51.1217 | + | 29.5151i | 2.19384 | + | 1.26661i | ||||
\(544\) | −14.4753 | + | 8.33647i | −0.620624 | + | 0.357423i | ||||
\(545\) | 16.7637i | 0.718076i | ||||||||
\(546\) | −22.2902 | + | 6.50678i | −0.953931 | + | 0.278464i | ||||
\(547\) | −12.1930 | + | 12.1930i | −0.521335 | + | 0.521335i | −0.917974 | − | 0.396640i | \(-0.870176\pi\) |
0.396640 | + | 0.917974i | \(0.370176\pi\) | |||||||
\(548\) | −15.4417 | + | 34.6423i | −0.659637 | + | 1.47984i | ||||
\(549\) | 48.9154 | − | 13.1068i | 2.08766 | − | 0.559387i | ||||
\(550\) | −3.72194 | + | 2.41591i | −0.158704 | + | 0.103015i | ||||
\(551\) | −0.434202 | + | 0.250687i | −0.0184976 | + | 0.0106796i | ||||
\(552\) | −1.43043 | − | 9.06944i | −0.0608830 | − | 0.386021i | ||||
\(553\) | 7.08211 | + | 13.1608i | 0.301162 | + | 0.559656i | ||||
\(554\) | −37.6101 | − | 19.1735i | −1.59790 | − | 0.814606i | ||||
\(555\) | −13.8003 | + | 51.5036i | −0.585792 | + | 2.18620i | ||||
\(556\) | −15.8057 | − | 12.8106i | −0.670313 | − | 0.543289i | ||||
\(557\) | −25.2309 | + | 6.76060i | −1.06907 | + | 0.286456i | −0.750110 | − | 0.661313i | \(-0.769999\pi\) |
−0.318958 | + | 0.947769i | \(0.603333\pi\) | |||||||
\(558\) | −0.223744 | − | 0.201548i | −0.00947185 | − | 0.00853220i | ||||
\(559\) | −2.34419 | −0.0991488 | ||||||||
\(560\) | −36.9787 | − | 3.08179i | −1.56264 | − | 0.130229i | ||||
\(561\) | 3.64940 | 0.154078 | ||||||||
\(562\) | 4.72843 | + | 4.25935i | 0.199457 | + | 0.179670i | ||||
\(563\) | −12.9106 | + | 3.45937i | −0.544115 | + | 0.145795i | −0.520399 | − | 0.853923i | \(-0.674217\pi\) |
−0.0237166 | + | 0.999719i | \(0.507550\pi\) | |||||||
\(564\) | −12.2668 | + | 15.1349i | −0.516526 | + | 0.637293i | ||||
\(565\) | −1.80912 | + | 6.75172i | −0.0761101 | + | 0.284047i | ||||
\(566\) | 3.47189 | + | 1.76996i | 0.145935 | + | 0.0743971i | ||||
\(567\) | −6.39726 | − | 3.95325i | −0.268660 | − | 0.166021i | ||||
\(568\) | 13.3606 | + | 9.72027i | 0.560597 | + | 0.407853i | ||||
\(569\) | 39.3383 | − | 22.7120i | 1.64915 | − | 0.952135i | 0.671735 | − | 0.740792i | \(-0.265550\pi\) |
0.977412 | − | 0.211343i | \(-0.0677838\pi\) | |||||||
\(570\) | −0.705825 | + | 0.458151i | −0.0295637 | + | 0.0191898i | ||||
\(571\) | 36.4067 | − | 9.75513i | 1.52357 | − | 0.408240i | 0.602655 | − | 0.798002i | \(-0.294109\pi\) |
0.920916 | + | 0.389762i | \(0.127443\pi\) | |||||||
\(572\) | −1.69742 | − | 0.756621i | −0.0709728 | − | 0.0316359i | ||||
\(573\) | 22.0123 | − | 22.0123i | 0.919577 | − | 0.919577i | ||||
\(574\) | −4.09912 | − | 3.92087i | −0.171094 | − | 0.163654i | ||||
\(575\) | 8.24144i | 0.343692i | ||||||||
\(576\) | 31.1992 | + | 28.1653i | 1.29997 | + | 1.17355i | ||||
\(577\) | −34.5527 | − | 19.9490i | −1.43845 | − | 0.830488i | −0.440706 | − | 0.897651i | \(-0.645272\pi\) |
−0.997742 | + | 0.0671630i | \(0.978605\pi\) | |||||||
\(578\) | 11.4537 | + | 2.43714i | 0.476409 | + | 0.101372i | ||||
\(579\) | 6.71958 | − | 25.0778i | 0.279256 | − | 1.04220i | ||||
\(580\) | −34.9659 | − | 48.1703i | −1.45188 | − | 2.00016i | ||||
\(581\) | 26.1286 | − | 24.6099i | 1.08400 | − | 1.02099i | ||||
\(582\) | −29.6856 | − | 15.1337i | −1.23051 | − | 0.627310i | ||||
\(583\) | −1.15473 | − | 2.00005i | −0.0478239 | − | 0.0828334i | ||||
\(584\) | 9.79014 | − | 4.35124i | 0.405119 | − | 0.180056i | ||||
\(585\) | −34.4620 | − | 19.8966i | −1.42483 | − | 0.822624i | ||||
\(586\) | 12.1936 | − | 0.636393i | 0.503711 | − | 0.0262891i | ||||
\(587\) | 9.68509 | − | 9.68509i | 0.399746 | − | 0.399746i | −0.478397 | − | 0.878144i | \(-0.658782\pi\) |
0.878144 | + | 0.478397i | \(0.158782\pi\) | |||||||
\(588\) | 12.1259 | + | 38.3503i | 0.500065 | + | 1.58154i | ||||
\(589\) | 0.00169276 | + | 0.00169276i | 6.97491e−5 | + | 6.97491e-5i | ||||
\(590\) | 49.6208 | − | 55.0855i | 2.04286 | − | 2.26784i | ||||
\(591\) | −11.1415 | + | 19.2977i | −0.458302 | + | 0.793802i | ||||
\(592\) | −21.1427 | − | 1.12638i | −0.868959 | − | 0.0462941i | ||||
\(593\) | 0.905494 | − | 0.522787i | 0.0371842 | − | 0.0214683i | −0.481293 | − | 0.876560i | \(-0.659833\pi\) |
0.518477 | + | 0.855092i | \(0.326499\pi\) | |||||||
\(594\) | −1.21655 | − | 3.74690i | −0.0499155 | − | 0.153737i | ||||
\(595\) | −18.7819 | − | 19.9409i | −0.769983 | − | 0.817498i | ||||
\(596\) | −4.91485 | + | 30.9445i | −0.201320 | + | 1.26754i | ||||
\(597\) | 15.8414 | + | 4.24469i | 0.648345 | + | 0.173724i | ||||
\(598\) | −2.89522 | + | 1.87929i | −0.118394 | + | 0.0768498i | ||||
\(599\) | 15.0022 | − | 25.9846i | 0.612974 | − | 1.06170i | −0.377763 | − | 0.925902i | \(-0.623307\pi\) |
0.990736 | − | 0.135799i | \(-0.0433601\pi\) | |||||||
\(600\) | −37.2704 | − | 46.0862i | −1.52156 | − | 1.88146i | ||||
\(601\) | −14.5760 | −0.594567 | −0.297283 | − | 0.954789i | \(-0.596081\pi\) | ||||
−0.297283 | + | 0.954789i | \(0.596081\pi\) | |||||||
\(602\) | 0.0902227 | + | 4.05952i | 0.00367720 | + | 0.165454i | ||||
\(603\) | −32.2929 | − | 32.2929i | −1.31507 | − | 1.31507i | ||||
\(604\) | 26.3370 | + | 11.7397i | 1.07164 | + | 0.477680i | ||||
\(605\) | −9.81447 | − | 36.6281i | −0.399015 | − | 1.48914i | ||||
\(606\) | 4.82508 | − | 22.6761i | 0.196005 | − | 0.921153i | ||||
\(607\) | −3.56239 | − | 6.17024i | −0.144593 | − | 0.250442i | 0.784628 | − | 0.619967i | \(-0.212854\pi\) |
−0.929221 | + | 0.369524i | \(0.879521\pi\) | |||||||
\(608\) | −0.236016 | − | 0.236527i | −0.00957172 | − | 0.00959244i | ||||
\(609\) | −33.9169 | + | 54.8852i | −1.37438 | + | 2.22406i | ||||
\(610\) | −14.7594 | − | 45.4581i | −0.597589 | − | 1.84055i | ||||
\(611\) | 7.07433 | + | 1.89556i | 0.286197 | + | 0.0766862i | ||||
\(612\) | 3.23008 | + | 30.8606i | 0.130568 | + | 1.24746i | ||||
\(613\) | −7.56417 | − | 28.2299i | −0.305514 | − | 1.14019i | −0.932502 | − | 0.361165i | \(-0.882379\pi\) |
0.626988 | − | 0.779029i | \(-0.284287\pi\) | |||||||
\(614\) | 2.29988 | − | 0.120033i | 0.0928158 | − | 0.00484414i | ||||
\(615\) | − | 15.2714i | − | 0.615804i | ||||||
\(616\) | −1.24494 | + | 2.96861i | −0.0501600 | + | 0.119609i | ||||
\(617\) | − | 0.888703i | − | 0.0357778i | −0.999840 | − | 0.0178889i | \(-0.994305\pi\) | ||
0.999840 | − | 0.0178889i | \(-0.00569452\pi\) | |||||||
\(618\) | 2.48602 | + | 47.6331i | 0.100002 | + | 1.91609i | ||||
\(619\) | 4.33960 | + | 16.1956i | 0.174423 | + | 0.650956i | 0.996649 | + | 0.0817950i | \(0.0260653\pi\) |
−0.822226 | + | 0.569161i | \(0.807268\pi\) | |||||||
\(620\) | −0.178953 | + | 0.220793i | −0.00718693 | + | 0.00886727i | ||||
\(621\) | −7.06748 | − | 1.89373i | −0.283608 | − | 0.0759926i | ||||
\(622\) | −10.9603 | + | 3.55858i | −0.439466 | + | 0.142686i | ||||
\(623\) | 34.0927 | − | 18.3460i | 1.36590 | − | 0.735015i | ||||
\(624\) | 7.69137 | − | 23.6021i | 0.307901 | − | 0.944841i | ||||
\(625\) | −4.13394 | − | 7.16019i | −0.165358 | − | 0.286408i | ||||
\(626\) | 42.1963 | + | 8.97864i | 1.68650 | + | 0.358859i | ||||
\(627\) | 0.0188938 | + | 0.0705124i | 0.000754544 | + | 0.00281600i | ||||
\(628\) | −35.2611 | + | 13.5180i | −1.40707 | + | 0.539425i | ||||
\(629\) | −11.0523 | − | 11.0523i | −0.440684 | − | 0.440684i | ||||
\(630\) | −33.1293 | + | 60.4448i | −1.31990 | + | 2.40818i | ||||
\(631\) | 14.8339 | 0.590527 | 0.295264 | − | 0.955416i | \(-0.404593\pi\) | ||||
0.295264 | + | 0.955416i | \(0.404593\pi\) | |||||||
\(632\) | −15.8886 | − | 1.68039i | −0.632017 | − | 0.0668423i | ||||
\(633\) | −33.3222 | + | 57.7158i | −1.32444 | + | 2.29400i | ||||
\(634\) | −10.8474 | − | 16.7114i | −0.430804 | − | 0.663695i | ||||
\(635\) | 31.3295 | + | 8.39471i | 1.24327 | + | 0.333134i | ||||
\(636\) | 24.9647 | − | 18.1214i | 0.989915 | − | 0.718561i | ||||
\(637\) | 11.3123 | − | 10.0334i | 0.448210 | − | 0.397536i | ||||
\(638\) | −4.91133 | + | 1.59461i | −0.194442 | + | 0.0631314i | ||||
\(639\) | 26.5795 | − | 15.3457i | 1.05147 | − | 0.607065i | ||||
\(640\) | 25.0111 | − | 30.7908i | 0.988652 | − | 1.21711i | ||||
\(641\) | 3.09662 | − | 5.36350i | 0.122309 | − | 0.211846i | −0.798369 | − | 0.602169i | \(-0.794303\pi\) |
0.920678 | + | 0.390323i | \(0.127637\pi\) | |||||||
\(642\) | 47.5001 | + | 42.7879i | 1.87468 | + | 1.68870i | ||||
\(643\) | 13.4723 | + | 13.4723i | 0.531294 | + | 0.531294i | 0.920957 | − | 0.389664i | \(-0.127409\pi\) |
−0.389664 | + | 0.920957i | \(0.627409\pi\) | |||||||
\(644\) | 3.36586 | + | 4.94143i | 0.132634 | + | 0.194720i | ||||
\(645\) | −7.73003 | + | 7.73003i | −0.304369 | + | 0.304369i | ||||
\(646\) | −0.0128565 | − | 0.246336i | −0.000505832 | − | 0.00969195i | ||||
\(647\) | −26.6824 | − | 15.4051i | −1.04899 | − | 0.605637i | −0.126627 | − | 0.991950i | \(-0.540415\pi\) |
−0.922368 | + | 0.386313i | \(0.873748\pi\) | |||||||
\(648\) | 7.34649 | − | 3.26516i | 0.288597 | − | 0.128268i | ||||
\(649\) | −3.21585 | − | 5.57002i | −0.126233 | − | 0.218642i | ||||
\(650\) | −10.1201 | + | 19.8512i | −0.396943 | + | 0.778628i | ||||
\(651\) | 0.295048 | + | 0.0885995i | 0.0115638 | + | 0.00347249i | ||||
\(652\) | 3.08859 | − | 19.4461i | 0.120958 | − | 0.761569i | ||||
\(653\) | −10.2241 | + | 38.1570i | −0.400102 | + | 1.49320i | 0.412812 | + | 0.910816i | \(0.364547\pi\) |
−0.812914 | + | 0.582384i | \(0.802120\pi\) | |||||||
\(654\) | −4.04287 | + | 19.0000i | −0.158089 | + | 0.742959i | ||||
\(655\) | 10.4153 | + | 6.01327i | 0.406959 | + | 0.234958i | ||||
\(656\) | 5.93261 | − | 1.25565i | 0.231630 | − | 0.0490250i | ||||
\(657\) | − | 19.9011i | − | 0.776415i | ||||||
\(658\) | 3.01034 | − | 12.3238i | 0.117355 | − | 0.480433i | ||||
\(659\) | −26.1819 | + | 26.1819i | −1.01990 | + | 1.01990i | −0.0201028 | + | 0.999798i | \(0.506399\pi\) |
−0.999798 | + | 0.0201028i | \(0.993601\pi\) | |||||||
\(660\) | −8.09226 | + | 3.10231i | −0.314991 | + | 0.120757i | ||||
\(661\) | 1.19187 | − | 0.319359i | 0.0463582 | − | 0.0124216i | −0.235565 | − | 0.971858i | \(-0.575694\pi\) |
0.281924 | + | 0.959437i | \(0.409028\pi\) | |||||||
\(662\) | 16.2816 | + | 25.0834i | 0.632804 | + | 0.974894i | ||||
\(663\) | 15.8704 | − | 9.16280i | 0.616357 | − | 0.355854i | ||||
\(664\) | 5.97809 | + | 37.9033i | 0.231995 | + | 1.47093i | ||||
\(665\) | 0.288053 | − | 0.466136i | 0.0111702 | − | 0.0180760i | ||||
\(666\) | −17.8628 | + | 35.0390i | −0.692170 | + | 1.35773i | ||||
\(667\) | −2.48225 | + | 9.26387i | −0.0961129 | + | 0.358698i | ||||
\(668\) | −27.2561 | + | 2.85281i | −1.05457 | + | 0.110379i | ||||
\(669\) | −7.62947 | + | 2.04431i | −0.294972 | + | 0.0790376i | ||||
\(670\) | −28.8476 | + | 32.0245i | −1.11448 | + | 1.23722i | ||||
\(671\) | −4.14622 | −0.160063 | ||||||||
\(672\) | −41.1686 | − | 12.4110i | −1.58812 | − | 0.478766i | ||||
\(673\) | −33.2182 | −1.28047 | −0.640233 | − | 0.768181i | \(-0.721162\pi\) | ||||
−0.640233 | + | 0.768181i | \(0.721162\pi\) | |||||||
\(674\) | −18.4702 | + | 20.5044i | −0.711447 | + | 0.789799i | ||||
\(675\) | −45.6236 | + | 12.2248i | −1.75605 | + | 0.470533i | ||||
\(676\) | 16.5773 | − | 1.73510i | 0.637589 | − | 0.0667345i | ||||
\(677\) | −4.73570 | + | 17.6739i | −0.182008 | + | 0.679262i | 0.813243 | + | 0.581924i | \(0.197700\pi\) |
−0.995251 | + | 0.0973388i | \(0.968967\pi\) | |||||||
\(678\) | −3.67877 | + | 7.21613i | −0.141282 | + | 0.277134i | ||||
\(679\) | 21.6881 | + | 0.649150i | 0.832311 | + | 0.0249121i | ||||
\(680\) | 28.9272 | − | 4.56239i | 1.10931 | − | 0.174960i | ||||
\(681\) | −9.94200 | + | 5.74002i | −0.380978 | + | 0.219958i | ||||
\(682\) | 0.0134238 | + | 0.0206807i | 0.000514026 | + | 0.000791905i | ||||
\(683\) | 5.88981 | − | 1.57817i | 0.225367 | − | 0.0603870i | −0.144368 | − | 0.989524i | \(-0.546115\pi\) |
0.369735 | + | 0.929137i | \(0.379448\pi\) | |||||||
\(684\) | −0.579554 | + | 0.222182i | −0.0221598 | + | 0.00849536i | ||||
\(685\) | 47.0177 | − | 47.0177i | 1.79645 | − | 1.79645i | ||||
\(686\) | −17.8105 | − | 19.2038i | −0.680009 | − | 0.733204i | ||||
\(687\) | − | 4.45012i | − | 0.169783i | ||||||
\(688\) | −3.63853 | − | 2.36736i | −0.138717 | − | 0.0902549i | ||||
\(689\) | −10.0433 | − | 5.79850i | −0.382619 | − | 0.220905i | ||||
\(690\) | −3.35006 | + | 15.7441i | −0.127535 | + | 0.599366i | ||||
\(691\) | −0.829828 | + | 3.09696i | −0.0315681 | + | 0.117814i | −0.979912 | − | 0.199430i | \(-0.936091\pi\) |
0.948344 | + | 0.317244i | \(0.102758\pi\) | |||||||
\(692\) | −3.09935 | + | 19.5139i | −0.117820 | + | 0.741806i | ||||
\(693\) | 4.09986 | + | 4.35286i | 0.155741 | + | 0.165351i | ||||
\(694\) | 12.7300 | − | 24.9707i | 0.483224 | − | 0.947874i | ||||
\(695\) | 17.8341 | + | 30.8895i | 0.676485 | + | 1.17171i | ||||
\(696\) | −28.0134 | − | 63.0291i | −1.06184 | − | 2.38911i | ||||
\(697\) | 3.87690 | + | 2.23833i | 0.146848 | + | 0.0847827i | ||||
\(698\) | −1.98677 | − | 38.0673i | −0.0752003 | − | 1.44087i | ||||
\(699\) | 28.1946 | − | 28.1946i | 1.06642 | − | 1.06642i | ||||
\(700\) | 34.7665 | + | 16.7613i | 1.31405 | + | 0.633518i | ||||
\(701\) | 25.5995 | + | 25.5995i | 0.966881 | + | 0.966881i | 0.999469 | − | 0.0325880i | \(-0.0103749\pi\) |
−0.0325880 | + | 0.999469i | \(0.510375\pi\) | |||||||
\(702\) | −14.6981 | − | 13.2400i | −0.554743 | − | 0.499710i | ||||
\(703\) | 0.156328 | − | 0.270768i | 0.00589603 | − | 0.0102122i | ||||
\(704\) | −1.87054 | − | 2.88859i | −0.0704988 | − | 0.108868i | ||||
\(705\) | 29.5784 | − | 17.0771i | 1.11399 | − | 0.643161i | ||||
\(706\) | −6.51742 | + | 2.11608i | −0.245287 | + | 0.0796398i | ||||
\(707\) | 3.46932 | + | 14.6928i | 0.130477 | + | 0.552579i | ||||
\(708\) | 69.5254 | − | 50.4672i | 2.61292 | − | 1.89667i | ||||
\(709\) | 21.0754 | + | 5.64713i | 0.791503 | + | 0.212083i | 0.631850 | − | 0.775091i | \(-0.282296\pi\) |
0.159653 | + | 0.987173i | \(0.448962\pi\) | |||||||
\(710\) | −15.7707 | − | 24.2963i | −0.591865 | − | 0.911825i | ||||
\(711\) | −14.8394 | + | 25.7026i | −0.556520 | + | 0.963921i | ||||
\(712\) | −4.35299 | + | 41.1590i | −0.163135 | + | 1.54250i | ||||
\(713\) | 0.0457930 | 0.00171496 | ||||||||
\(714\) | −16.4784 | − | 27.1308i | −0.616688 | − | 1.01534i | ||||
\(715\) | 2.30380 | + | 2.30380i | 0.0861572 | + | 0.0861572i | ||||
\(716\) | −16.5136 | + | 6.33078i | −0.617141 | + | 0.236592i | ||||
\(717\) | −8.20442 | − | 30.6193i | −0.306400 | − | 1.14350i | ||||
\(718\) | −31.5990 | − | 6.72371i | −1.17926 | − | 0.250927i | ||||
\(719\) | −1.38789 | − | 2.40390i | −0.0517596 | − | 0.0896502i | 0.838985 | − | 0.544155i | \(-0.183150\pi\) |
−0.890744 | + | 0.454505i | \(0.849816\pi\) | |||||||
\(720\) | −33.3967 | − | 65.6850i | −1.24462 | − | 2.44794i | ||||
\(721\) | −14.7183 | − | 27.3514i | −0.548139 | − | 1.01862i | ||||
\(722\) | −25.5520 | + | 8.29625i | −0.950949 | + | 0.308755i | ||||
\(723\) | −35.7280 | − | 9.57328i | −1.32874 | − | 0.356034i | ||||
\(724\) | 25.8748 | − | 31.9244i | 0.961628 | − | 1.18646i | ||||
\(725\) | 16.0239 | + | 59.8021i | 0.595114 | + | 2.22100i | ||||
\(726\) | −2.29021 | − | 43.8814i | −0.0849977 | − | 1.62859i | ||||
\(727\) | 37.3773i | 1.38625i | 0.720818 | + | 0.693124i | \(0.243766\pi\) | ||||
−0.720818 | + | 0.693124i | \(0.756234\pi\) | |||||||
\(728\) | 2.03953 | + | 16.0356i | 0.0755899 | + | 0.594318i | ||||
\(729\) | 40.8792i | 1.51404i | ||||||||
\(730\) | −18.7568 | + | 0.978934i | −0.694220 | + | 0.0362320i | ||||
\(731\) | −0.829404 | − | 3.09538i | −0.0306766 | − | 0.114487i | ||||
\(732\) | −5.76526 | − | 55.0820i | −0.213090 | − | 2.03589i | ||||
\(733\) | −19.0426 | − | 5.10245i | −0.703354 | − | 0.188463i | −0.110622 | − | 0.993863i | \(-0.535284\pi\) |
−0.592732 | + | 0.805399i | \(0.701951\pi\) | |||||||
\(734\) | 6.15686 | + | 18.9628i | 0.227254 | + | 0.699931i | ||||
\(735\) | 4.21737 | − | 70.3878i | 0.155560 | − | 2.59629i | ||||
\(736\) | −6.39167 | − | 0.00691212i | −0.235600 | − | 0.000254784i | ||||
\(737\) | 1.86957 | + | 3.23819i | 0.0688665 | + | 0.119280i | ||||
\(738\) | 2.34437 | − | 11.0177i | 0.0862974 | − | 0.405566i | ||||
\(739\) | −8.47301 | − | 31.6217i | −0.311685 | − | 1.16322i | −0.927037 | − | 0.374970i | \(-0.877653\pi\) |
0.615352 | − | 0.788252i | \(-0.289014\pi\) | |||||||
\(740\) | 33.9030 | + | 15.1122i | 1.24630 | + | 0.555534i | ||||
\(741\) | 0.259205 | + | 0.259205i | 0.00952214 | + | 0.00952214i | ||||
\(742\) | −9.65493 | + | 17.6155i | −0.354444 | + | 0.646686i | ||||
\(743\) | 10.8545 | 0.398211 | 0.199106 | − | 0.979978i | \(-0.436196\pi\) | ||||
0.199106 | + | 0.979978i | \(0.436196\pi\) | |||||||
\(744\) | −0.256075 | + | 0.207090i | −0.00938816 | + | 0.00759230i | ||||
\(745\) | 27.4650 | − | 47.5707i | 1.00624 | − | 1.74286i | ||||
\(746\) | −29.9528 | + | 19.4424i | −1.09665 | + | 0.711837i | ||||
\(747\) | 68.8493 | + | 18.4481i | 2.51907 | + | 0.674982i | ||||
\(748\) | 0.398508 | − | 2.50905i | 0.0145709 | − | 0.0917401i | ||||
\(749\) | −39.8713 | − | 11.9729i | −1.45686 | − | 0.437480i | ||||
\(750\) | 10.0919 | + | 31.0826i | 0.368504 | + | 1.13497i | ||||
\(751\) | 33.4945 | − | 19.3380i | 1.22223 | − | 0.705655i | 0.256837 | − | 0.966455i | \(-0.417320\pi\) |
0.965393 | + | 0.260800i | \(0.0839863\pi\) | |||||||
\(752\) | 9.06608 | + | 10.0864i | 0.330606 | + | 0.367815i | ||||
\(753\) | −32.9866 | + | 57.1344i | −1.20210 | + | 2.08209i | ||||
\(754\) | −17.3546 | + | 19.2658i | −0.632017 | + | 0.701621i | ||||
\(755\) | −35.7455 | − | 35.7455i | −1.30091 | − | 1.30091i | ||||
\(756\) | −22.3624 | + | 25.9628i | −0.813314 | + | 0.944257i | ||||
\(757\) | −25.9813 | + | 25.9813i | −0.944307 | + | 0.944307i | −0.998529 | − | 0.0542223i | \(-0.982732\pi\) |
0.0542223 | + | 0.998529i | \(0.482732\pi\) | |||||||
\(758\) | 26.3569 | − | 1.37559i | 0.957325 | − | 0.0499637i | ||||
\(759\) | 1.20932 | + | 0.698199i | 0.0438954 | + | 0.0253430i | ||||
\(760\) | 0.237915 | + | 0.535301i | 0.00863010 | + | 0.0194174i | ||||
\(761\) | 9.57585 | + | 16.5859i | 0.347124 | + | 0.601237i | 0.985737 | − | 0.168291i | \(-0.0538249\pi\) |
−0.638613 | + | 0.769528i | \(0.720492\pi\) | |||||||
\(762\) | 33.4844 | + | 17.0703i | 1.21301 | + | 0.618392i | ||||
\(763\) | −2.90690 | − | 12.3109i | −0.105237 | − | 0.445685i | ||||
\(764\) | −12.7303 | − | 17.5377i | −0.460566 | − | 0.634492i | ||||
\(765\) | 14.0793 | − | 52.5448i | 0.509039 | − | 1.89976i | ||||
\(766\) | −31.2089 | − | 6.64072i | −1.12762 | − | 0.239939i | ||||
\(767\) | −27.9701 | − | 16.1485i | −1.00994 | − | 0.583090i | ||||
\(768\) | 35.7735 | − | 28.8665i | 1.29087 | − | 1.04163i | ||||
\(769\) | 24.3826i | 0.879260i | 0.898179 | + | 0.439630i | \(0.144890\pi\) | ||||
−0.898179 | + | 0.439630i | \(0.855110\pi\) | |||||||
\(770\) | 3.90090 | − | 4.07824i | 0.140579 | − | 0.146970i | ||||
\(771\) | −10.5406 | + | 10.5406i | −0.379610 | + | 0.379610i | ||||
\(772\) | −16.5079 | − | 7.35833i | −0.594131 | − | 0.264832i | ||||
\(773\) | 9.20458 | − | 2.46636i | 0.331066 | − | 0.0887088i | −0.0894573 | − | 0.995991i | \(-0.528513\pi\) |
0.420523 | + | 0.907282i | \(0.361847\pi\) | |||||||
\(774\) | −6.76354 | + | 4.39021i | −0.243110 | + | 0.157803i | ||||
\(775\) | 0.256008 | − | 0.147806i | 0.00919609 | − | 0.00530936i | ||||
\(776\) | −13.6464 | + | 18.7570i | −0.489876 | + | 0.673338i | ||||
\(777\) | 1.20372 | − | 40.2163i | 0.0431833 | − | 1.44275i | ||||
\(778\) | 21.1720 | + | 10.7934i | 0.759051 | + | 0.386963i | ||||
\(779\) | −0.0231766 | + | 0.0864963i | −0.000830388 | + | 0.00309905i | ||||
\(780\) | −27.4023 | + | 33.8091i | −0.981159 | + | 1.21056i | ||||
\(781\) | −2.42722 | + | 0.650372i | −0.0868528 | + | 0.0232721i | ||||
\(782\) | −3.50586 | − | 3.15806i | −0.125369 | − | 0.112932i | ||||
\(783\) | −54.9656 | −1.96431 | ||||||||
\(784\) | 27.6909 | − | 4.14910i | 0.988960 | − | 0.148182i | ||||
\(785\) | 66.2045 | 2.36294 | ||||||||
\(786\) | 10.3545 | + | 9.32732i | 0.369334 | + | 0.332695i | ||||
\(787\) | 12.7757 | − | 3.42323i | 0.455404 | − | 0.122025i | −0.0238230 | − | 0.999716i | \(-0.507584\pi\) |
0.479227 | + | 0.877691i | \(0.340917\pi\) | |||||||
\(788\) | 12.0510 | + | 9.76736i | 0.429300 | + | 0.347948i | ||||
\(789\) | 19.6317 | − | 73.2666i | 0.698908 | − | 2.60836i | ||||
\(790\) | 24.9546 | + | 12.7218i | 0.887846 | + | 0.452622i | ||||
\(791\) | 0.157799 | − | 5.27204i | 0.00561068 | − | 0.187452i | ||||
\(792\) | −6.31446 | + | 0.995913i | −0.224375 | + | 0.0353882i | ||||
\(793\) | −18.0310 | + | 10.4102i | −0.640299 | + | 0.369677i | ||||
\(794\) | −27.9923 | + | 18.1698i | −0.993409 | + | 0.644822i | ||||
\(795\) | −52.2387 | + | 13.9973i | −1.85272 | + | 0.496434i | ||||
\(796\) | 4.64818 | − | 10.4278i | 0.164750 | − | 0.369605i | ||||
\(797\) | 7.68794 | − | 7.68794i | 0.272321 | − | 0.272321i | −0.557713 | − | 0.830034i | \(-0.688321\pi\) |
0.830034 | + | 0.557713i | \(0.188321\pi\) | |||||||
\(798\) | 0.438899 | − | 0.458851i | 0.0155368 | − | 0.0162432i | ||||
\(799\) | 10.0119i | 0.354197i | ||||||||
\(800\) | −35.7553 | + | 20.5918i | −1.26414 | + | 0.728030i | ||||
\(801\) | 66.5816 | + | 38.4409i | 2.35255 | + | 1.35824i | ||||
\(802\) | 12.7431 | + | 2.71150i | 0.449973 | + | 0.0957465i | ||||
\(803\) | −0.421719 | + | 1.57388i | −0.0148821 | + | 0.0555409i | ||||
\(804\) | −40.4193 | + | 29.3396i | −1.42548 | + | 1.03473i | ||||
\(805\) | −2.40876 | − | 10.2012i | −0.0848976 | − | 0.359546i | ||||
\(806\) | 0.110302 | + | 0.0562316i | 0.00388522 | + | 0.00198067i | ||||
\(807\) | 8.09488 | + | 14.0207i | 0.284953 | + | 0.493553i | ||||
\(808\) | −15.0635 | − | 5.79354i | −0.529931 | − | 0.203816i | ||||
\(809\) | −18.2429 | − | 10.5325i | −0.641385 | − | 0.370304i | 0.143763 | − | 0.989612i | \(-0.454080\pi\) |
−0.785148 | + | 0.619308i | \(0.787413\pi\) | |||||||
\(810\) | −14.0750 | + | 0.734589i | −0.494547 | + | 0.0258108i | ||||
\(811\) | −30.2858 | + | 30.2858i | −1.06348 | + | 1.06348i | −0.0656346 | + | 0.997844i | \(0.520907\pi\) |
−0.997844 | + | 0.0656346i | \(0.979093\pi\) | |||||||
\(812\) | 34.0313 | + | 29.3121i | 1.19426 | + | 1.02865i | ||||
\(813\) | −20.3603 | − | 20.3603i | −0.714067 | − | 0.714067i | ||||
\(814\) | 2.15518 | − | 2.39253i | 0.0755392 | − | 0.0838583i | ||||
\(815\) | −17.2595 | + | 29.8944i | −0.604575 | + | 1.04715i | ||||
\(816\) | 33.8866 | + | 1.80532i | 1.18627 | + | 0.0631988i | ||||
\(817\) | 0.0555138 | − | 0.0320509i | 0.00194218 | − | 0.00112132i | ||||
\(818\) | −9.56259 | − | 29.4523i | −0.334348 | − | 1.02978i | ||||
\(819\) | 28.7584 | + | 8.63582i | 1.00490 | + | 0.301760i | ||||
\(820\) | −10.4995 | − | 1.66761i | −0.366658 | − | 0.0582355i | ||||
\(821\) | 23.8506 | + | 6.39075i | 0.832392 | + | 0.223039i | 0.649757 | − | 0.760142i | \(-0.274871\pi\) |
0.182635 | + | 0.983181i | \(0.441537\pi\) | |||||||
\(822\) | 64.6292 | − | 41.9509i | 2.25420 | − | 1.46320i | ||||
\(823\) | 3.94067 | − | 6.82543i | 0.137363 | − | 0.237920i | −0.789135 | − | 0.614220i | \(-0.789471\pi\) |
0.926498 | + | 0.376301i | \(0.122804\pi\) | |||||||
\(824\) | 33.0204 | + | 3.49225i | 1.15032 | + | 0.121658i | ||||
\(825\) | 9.01434 | 0.313839 | ||||||||
\(826\) | −26.8885 | + | 49.0583i | −0.935570 | + | 1.70696i | ||||
\(827\) | 7.66587 | + | 7.66587i | 0.266569 | + | 0.266569i | 0.827716 | − | 0.561147i | \(-0.189640\pi\) |
−0.561147 | + | 0.827716i | \(0.689640\pi\) | |||||||
\(828\) | −4.83384 | + | 10.8444i | −0.167988 | + | 0.376868i | ||||
\(829\) | 9.90146 | + | 36.9528i | 0.343892 | + | 1.28342i | 0.893901 | + | 0.448264i | \(0.147957\pi\) |
−0.550009 | + | 0.835158i | \(0.685376\pi\) | |||||||
\(830\) | 14.0007 | − | 65.7981i | 0.485971 | − | 2.28388i | ||||
\(831\) | 42.8803 | + | 74.2709i | 1.48750 | + | 2.57643i | ||||
\(832\) | −15.3872 | − | 7.86532i | −0.533454 | − | 0.272681i | ||||
\(833\) | 17.2509 | + | 11.3874i | 0.597709 | + | 0.394549i | ||||
\(834\) | 12.7636 | + | 39.3114i | 0.441969 | + | 1.36124i | ||||
\(835\) | 46.4076 | + | 12.4349i | 1.60600 | + | 0.430327i | ||||
\(836\) | 0.0505422 | − | 0.00529010i | 0.00174804 | − | 0.000182962i | ||||
\(837\) | 0.0679262 | + | 0.253504i | 0.00234787 | + | 0.00876238i | ||||
\(838\) | 40.5886 | − | 2.11835i | 1.40211 | − | 0.0731773i | ||||
\(839\) | − | 41.1374i | − | 1.42022i | −0.704090 | − | 0.710111i | \(-0.748645\pi\) | ||
0.704090 | − | 0.710111i | \(-0.251355\pi\) | |||||||
\(840\) | 59.6030 | + | 46.1523i | 2.05650 | + | 1.59240i | ||||
\(841\) | 43.0474i | 1.48439i | ||||||||
\(842\) | −2.48048 | − | 47.5271i | −0.0854831 | − | 1.63789i | ||||
\(843\) | −3.34611 | − | 12.4879i | −0.115246 | − | 0.430105i | ||||
\(844\) | 36.0423 | + | 29.2123i | 1.24063 | + | 1.00553i | ||||
\(845\) | −28.2254 | − | 7.56298i | −0.970984 | − | 0.260174i | ||||
\(846\) | 23.9611 | − | 7.77970i | 0.823800 | − | 0.267472i | ||||
\(847\) | 13.5591 | + | 25.1971i | 0.465895 | + | 0.865783i | ||||
\(848\) | −9.73283 | − | 19.1427i | −0.334227 | − | 0.657362i | ||||
\(849\) | −3.95840 | − | 6.85616i | −0.135852 | − | 0.235303i | ||||
\(850\) | −29.7930 | − | 6.33944i | −1.02189 | − | 0.217441i | ||||
\(851\) | −1.54793 | − | 5.77695i | −0.0530623 | − | 0.198031i | ||||
\(852\) | −12.0151 | − | 31.3410i | −0.411631 | − | 1.07372i | ||||
\(853\) | −31.1520 | − | 31.1520i | −1.06663 | − | 1.06663i | −0.997616 | − | 0.0690094i | \(-0.978016\pi\) |
−0.0690094 | − | 0.997616i | \(-0.521984\pi\) | |||||||
\(854\) | 18.7217 | + | 30.8242i | 0.640642 | + | 1.05478i | ||||
\(855\) | 1.08814 | 0.0372137 | ||||||||
\(856\) | 34.6046 | − | 27.9851i | 1.18276 | − | 0.956512i | ||||
\(857\) | 2.19226 | − | 3.79710i | 0.0748861 | − | 0.129707i | −0.826151 | − | 0.563449i | \(-0.809474\pi\) |
0.901037 | + | 0.433743i | \(0.142807\pi\) | |||||||
\(858\) | 2.05553 | + | 3.16674i | 0.0701747 | + | 0.108111i | ||||
\(859\) | −46.3164 | − | 12.4104i | −1.58029 | − | 0.423439i | −0.641277 | − | 0.767309i | \(-0.721595\pi\) |
−0.939017 | + | 0.343871i | \(0.888262\pi\) | |||||||
\(860\) | 4.47048 | + | 6.15869i | 0.152442 | + | 0.210010i | ||||
\(861\) | 2.64815 | + | 11.2150i | 0.0902485 | + | 0.382208i | ||||
\(862\) | 20.1240 | − | 6.53389i | 0.685428 | − | 0.222545i | ||||
\(863\) | −15.0205 | + | 8.67207i | −0.511303 | + | 0.295201i | −0.733369 | − | 0.679831i | \(-0.762053\pi\) |
0.222066 | + | 0.975032i | \(0.428720\pi\) | |||||||
\(864\) | −9.44270 | − | 35.3937i | −0.321247 | − | 1.20412i | ||||
\(865\) | 17.3197 | − | 29.9985i | 0.588886 | − | 1.01998i | ||||
\(866\) | −23.6990 | − | 21.3479i | −0.805324 | − | 0.725432i | ||||
\(867\) | −16.8214 | − | 16.8214i | −0.571284 | − | 0.571284i | ||||
\(868\) | 0.0931331 | − | 0.193178i | 0.00316114 | − | 0.00655688i | ||||
\(869\) | 1.71823 | − | 1.71823i | 0.0582869 | − | 0.0582869i | ||||
\(870\) | 6.30240 | + | 120.757i | 0.213671 | + | 4.09404i | ||||
\(871\) | 16.2607 | + | 9.38811i | 0.550972 | + | 0.318104i | ||||
\(872\) | 12.6215 | + | 4.85434i | 0.427418 | + | 0.164389i | ||||
\(873\) | 21.5439 | + | 37.3151i | 0.729151 | + | 1.26293i | ||||
\(874\) | 0.0428684 | − | 0.0840890i | 0.00145004 | − | 0.00284435i | ||||
\(875\) | −14.5907 | − | 15.4911i | −0.493255 | − | 0.523693i | ||||
\(876\) | −21.4951 | − | 3.41403i | −0.726253 | − | 0.115349i | ||||
\(877\) | 2.01698 | − | 7.52748i | 0.0681087 | − | 0.254185i | −0.923474 | − | 0.383661i | \(-0.874663\pi\) |
0.991583 | + | 0.129476i | \(0.0413296\pi\) | |||||||
\(878\) | 1.57951 | − | 7.42312i | 0.0533059 | − | 0.250518i | ||||
\(879\) | −21.4817 | − | 12.4025i | −0.724560 | − | 0.418325i | ||||
\(880\) | 1.24926 | + | 5.90240i | 0.0421125 | + | 0.198970i | ||||
\(881\) | 7.64271i | 0.257489i | 0.991678 | + | 0.128745i | \(0.0410948\pi\) | ||||
−0.991678 | + | 0.128745i | \(0.958905\pi\) | |||||||
\(882\) | 13.8481 | − | 50.1343i | 0.466291 | − | 1.68811i | ||||
\(883\) | 15.7127 | − | 15.7127i | 0.528776 | − | 0.528776i | −0.391431 | − | 0.920207i | \(-0.628020\pi\) |
0.920207 | + | 0.391431i | \(0.128020\pi\) | |||||||
\(884\) | −4.56663 | − | 11.9119i | −0.153592 | − | 0.400640i | ||||
\(885\) | −145.482 | + | 38.9818i | −4.89032 | + | 1.31036i | ||||
\(886\) | 7.30153 | + | 11.2487i | 0.245300 | + | 0.377907i | ||||
\(887\) | −18.9974 | + | 10.9682i | −0.637870 | + | 0.368275i | −0.783794 | − | 0.621021i | \(-0.786718\pi\) |
0.145923 | + | 0.989296i | \(0.453385\pi\) | |||||||
\(888\) | 34.7812 | + | 25.3046i | 1.16718 | + | 0.849165i | ||||
\(889\) | −24.4635 | − | 0.732222i | −0.820478 | − | 0.0245579i | ||||
\(890\) | 32.9555 | − | 64.6442i | 1.10467 | − | 2.16688i | ||||
\(891\) | −0.316457 | + | 1.18103i | −0.0106017 | + | 0.0395661i | ||||
\(892\) | 0.572390 | + | 5.46869i | 0.0191650 | + | 0.183105i | ||||
\(893\) | −0.193447 | + | 0.0518340i | −0.00647346 | + | 0.00173456i | ||||
\(894\) | 42.6015 | − | 47.2932i | 1.42481 | − | 1.58172i | ||||
\(895\) | 31.0051 | 1.03639 | ||||||||
\(896\) | −13.0284 | + | 26.9492i | −0.435249 | + | 0.900310i | ||||
\(897\) | 7.01207 | 0.234126 | ||||||||
\(898\) | −14.2794 | + | 15.8520i | −0.476511 | + | 0.528988i | ||||
\(899\) | 0.332286 | − | 0.0890359i | 0.0110824 | − | 0.00296951i | ||||
\(900\) | 7.97858 | + | 76.2283i | 0.265953 | + | 2.54094i | ||||
\(901\) | 4.10316 | − | 15.3132i | 0.136696 | − | 0.510157i | ||||
\(902\) | −0.418877 | + | 0.821653i | −0.0139471 | + | 0.0273581i | ||||
\(903\) | 4.33636 | − | 7.01721i | 0.144305 | − | 0.233518i | ||||
\(904\) | 4.55955 | + | 3.31723i | 0.151648 | + | 0.110329i | ||||
\(905\) | −62.3906 | + | 36.0212i | −2.07393 | + | 1.19739i | ||||
\(906\) | −31.8934 | − | 49.1349i | −1.05959 | − | 1.63240i | ||||
\(907\) | 7.15097 | − | 1.91610i | 0.237444 | − | 0.0636230i | −0.138135 | − | 0.990413i | \(-0.544111\pi\) |
0.375579 | + | 0.926791i | \(0.377444\pi\) | |||||||
\(908\) | 2.86076 | + | 7.46217i | 0.0949376 | + | 0.247641i | ||||
\(909\) | −21.1987 | + | 21.1987i | −0.703118 | + | 0.703118i | ||||
\(910\) | 6.72465 | − | 27.5296i | 0.222920 | − | 0.912598i | ||||
\(911\) | − | 34.0670i | − | 1.12869i | −0.825539 | − | 0.564344i | \(-0.809129\pi\) | ||
0.825539 | − | 0.564344i | \(-0.190871\pi\) | |||||||
\(912\) | 0.140557 | + | 0.664091i | 0.00465429 | + | 0.0219902i | ||||
\(913\) | −5.05402 | − | 2.91794i | −0.167264 | − | 0.0965697i | ||||
\(914\) | −3.89542 | + | 18.3070i | −0.128849 | + | 0.605543i | ||||
\(915\) | −25.1297 | + | 93.7854i | −0.830763 | + | 3.10045i | ||||
\(916\) | −3.05957 | − | 0.485945i | −0.101091 | − | 0.0160561i | ||||
\(917\) | −8.69153 | − | 2.60997i | −0.287020 | − | 0.0861888i | ||||
\(918\) | 12.2823 | − | 24.0925i | 0.405376 | − | 0.795170i | ||||
\(919\) | −3.48368 | − | 6.03392i | −0.114916 | − | 0.199041i | 0.802830 | − | 0.596208i | \(-0.203327\pi\) |
−0.917746 | + | 0.397167i | \(0.869993\pi\) | |||||||
\(920\) | 10.4586 | + | 4.02247i | 0.344810 | + | 0.132617i | ||||
\(921\) | −4.05176 | − | 2.33929i | −0.133510 | − | 0.0770821i | ||||
\(922\) | 0.224273 | + | 4.29717i | 0.00738604 | + | 0.141520i | ||||
\(923\) | −8.92251 | + | 8.92251i | −0.293688 | + | 0.293688i | ||||
\(924\) | 5.40485 | − | 3.68152i | 0.177806 | − | 0.121113i | ||||
\(925\) | −27.3001 | − | 27.3001i | −0.897622 | − | 0.897622i | ||||
\(926\) | 17.2112 | + | 15.5038i | 0.565595 | + | 0.509486i | ||||
\(927\) | 30.8398 | − | 53.4161i | 1.01291 | − | 1.75441i | ||||
\(928\) | −46.3931 | + | 12.3772i | −1.52293 | + | 0.406303i | ||||
\(929\) | −26.8089 | + | 15.4782i | −0.879573 | + | 0.507822i | −0.870518 | − | 0.492137i | \(-0.836216\pi\) |
−0.00905542 | + | 0.999959i | \(0.502882\pi\) | |||||||
\(930\) | 0.549148 | − | 0.178298i | 0.0180073 | − | 0.00584661i | ||||
\(931\) | −0.130711 | + | 0.392271i | −0.00428387 | + | 0.0128562i | ||||
\(932\) | −16.3057 | − | 22.4633i | −0.534111 | − | 0.735810i | ||||
\(933\) | 22.6123 | + | 6.05894i | 0.740293 | + | 0.198361i | ||||
\(934\) | 30.2298 | + | 46.5718i | 0.989149 | + | 1.52388i | ||||
\(935\) | −2.22693 | + | 3.85715i | −0.0728283 | + | 0.126142i | ||||
\(936\) | −24.9597 | + | 20.1852i | −0.815833 | + | 0.659772i | ||||
\(937\) | 30.2161 | 0.987116 | 0.493558 | − | 0.869713i | \(-0.335696\pi\) | ||||
0.493558 | + | 0.869713i | \(0.335696\pi\) | |||||||
\(938\) | 15.6319 | − | 28.5205i | 0.510399 | − | 0.931229i | ||||
\(939\) | −61.9714 | − | 61.9714i | −2.02236 | − | 2.02236i | ||||
\(940\) | −8.51103 | − | 22.2007i | −0.277599 | − | 0.724106i | ||||
\(941\) | 11.0870 | + | 41.3771i | 0.361425 | + | 1.34886i | 0.872203 | + | 0.489144i | \(0.162691\pi\) |
−0.510778 | + | 0.859713i | \(0.670643\pi\) | |||||||
\(942\) | 75.0365 | + | 15.9665i | 2.44482 | + | 0.520216i | ||||
\(943\) | 0.856468 | + | 1.48345i | 0.0278904 | + | 0.0483077i | ||||
\(944\) | −27.1054 | − | 53.3114i | −0.882207 | − | 1.73514i | ||||
\(945\) | 52.8998 | − | 28.4664i | 1.72083 | − | 0.926013i | ||||
\(946\) | 0.627926 | − | 0.203875i | 0.0204156 | − | 0.00662856i | ||||
\(947\) | −23.5104 | − | 6.29960i | −0.763986 | − | 0.204710i | −0.144273 | − | 0.989538i | \(-0.546084\pi\) |
−0.619713 | + | 0.784828i | \(0.712751\pi\) | |||||||
\(948\) | 25.2156 | + | 20.4373i | 0.818965 | + | 0.663771i | ||||
\(949\) | 2.11768 | + | 7.90328i | 0.0687427 | + | 0.256551i | ||||
\(950\) | −0.0317567 | − | 0.608471i | −0.00103032 | − | 0.0197414i | ||||
\(951\) | 40.4741i | 1.31246i | ||||||||
\(952\) | −20.4525 | + | 8.36666i | −0.662869 | + | 0.271165i | ||||
\(953\) | − | 33.5515i | − | 1.08684i | −0.839461 | − | 0.543420i | \(-0.817129\pi\) | ||
0.839461 | − | 0.543420i | \(-0.182871\pi\) | |||||||
\(954\) | −39.8367 | + | 2.07911i | −1.28976 | + | 0.0673138i | ||||
\(955\) | 9.83311 | + | 36.6977i | 0.318192 | + | 1.18751i | ||||
\(956\) | −21.9475 | + | 2.29717i | −0.709831 | + | 0.0742959i | ||||
\(957\) | 10.1327 | + | 2.71504i | 0.327542 | + | 0.0877647i | ||||
\(958\) | −10.2782 | − | 31.6562i | −0.332072 | − | 1.02277i | ||||
\(959\) | −26.3758 | + | 42.6820i | −0.851718 | + | 1.37827i | ||||
\(960\) | −76.6755 | + | 24.8034i | −2.47469 | + | 0.800527i | ||||
\(961\) | 15.4992 | + | 26.8454i | 0.499974 | + | 0.865980i | ||||
\(962\) | 3.36532 | − | 15.8158i | 0.108502 | − | 0.509921i | ||||
\(963\) | −21.3965 | − | 79.8529i | −0.689493 | − | 2.57322i | ||||
\(964\) | −10.4833 | + | 23.5185i | −0.337644 | + | 0.757479i | ||||
\(965\) | 22.4050 | + | 22.4050i | 0.721243 | + | 0.721243i | ||||
\(966\) | −0.269879 | − | 12.1431i | −0.00868320 | − | 0.390696i | ||||
\(967\) | 27.3461 | 0.879390 | 0.439695 | − | 0.898147i | \(-0.355087\pi\) | ||||
0.439695 | + | 0.898147i | \(0.355087\pi\) | |||||||
\(968\) | −30.4197 | − | 3.21719i | −0.977725 | − | 0.103404i | ||||
\(969\) | −0.250556 | + | 0.433976i | −0.00804902 | + | 0.0139413i | ||||
\(970\) | 34.1098 | − | 22.1407i | 1.09520 | − | 0.710895i | ||||
\(971\) | −10.4954 | − | 2.81224i | −0.336815 | − | 0.0902492i | 0.0864477 | − | 0.996256i | \(-0.472448\pi\) |
−0.423262 | + | 0.906007i | \(0.639115\pi\) | |||||||
\(972\) | 22.2429 | + | 3.53279i | 0.713441 | + | 0.113314i | ||||
\(973\) | −18.4534 | − | 19.5922i | −0.591589 | − | 0.628096i | ||||
\(974\) | −4.79465 | − | 14.7673i | −0.153631 | − | 0.473175i | ||||
\(975\) | 39.2014 | − | 22.6329i | 1.25545 | − | 0.724834i | ||||
\(976\) | −38.4998 | − | 2.05109i | −1.23235 | − | 0.0656537i | ||||
\(977\) | 8.48843 | − | 14.7024i | 0.271569 | − | 0.470371i | −0.697695 | − | 0.716395i | \(-0.745791\pi\) |
0.969264 | + | 0.246024i | \(0.0791242\pi\) | |||||||
\(978\) | −26.7716 | + | 29.7200i | −0.856062 | + | 0.950340i | ||||
\(979\) | −4.45101 | − | 4.45101i | −0.142255 | − | 0.142255i | ||||
\(980\) | −47.9329 | − | 10.5858i | −1.53116 | − | 0.338150i | ||||
\(981\) | 17.7622 | − | 17.7622i | 0.567103 | − | 0.567103i | ||||
\(982\) | −11.7640 | + | 0.613973i | −0.375404 | + | 0.0195927i | ||||
\(983\) | −28.5592 | − | 16.4887i | −0.910897 | − | 0.525907i | −0.0301774 | − | 0.999545i | \(-0.509607\pi\) |
−0.880720 | + | 0.473638i | \(0.842941\pi\) | |||||||
\(984\) | −11.4980 | − | 4.42223i | −0.366543 | − | 0.140976i | ||||
\(985\) | −13.5975 | − | 23.5516i | −0.433253 | − | 0.750416i | ||||
\(986\) | −31.5798 | − | 16.0993i | −1.00570 | − | 0.512706i | ||||
\(987\) | −18.7606 | + | 17.6702i | −0.597156 | + | 0.562447i | ||||
\(988\) | 0.206515 | − | 0.149905i | 0.00657011 | − | 0.00476912i | ||||
\(989\) | 0.317361 | − | 1.18441i | 0.0100915 | − | 0.0376620i | ||||
\(990\) | 10.9616 | + | 2.33243i | 0.348381 | + | 0.0741295i | ||||
\(991\) | −33.6583 | − | 19.4326i | −1.06919 | − | 0.617298i | −0.141231 | − | 0.989977i | \(-0.545106\pi\) |
−0.927960 | + | 0.372679i | \(0.878439\pi\) | |||||||
\(992\) | 0.114417 | + | 0.198672i | 0.00363274 | + | 0.00630783i | ||||
\(993\) | − | 60.7506i | − | 1.92786i | ||||||
\(994\) | 15.7948 | + | 15.1080i | 0.500982 | + | 0.479198i | ||||
\(995\) | −14.1530 | + | 14.1530i | −0.448681 | + | 0.448681i | ||||
\(996\) | 31.7369 | − | 71.1993i | 1.00562 | − | 2.25604i | ||||
\(997\) | −16.6077 | + | 4.45002i | −0.525972 | + | 0.140934i | −0.512027 | − | 0.858969i | \(-0.671105\pi\) |
−0.0139442 | + | 0.999903i | \(0.504439\pi\) | |||||||
\(998\) | 16.5036 | − | 10.7125i | 0.522412 | − | 0.339098i | ||||
\(999\) | 29.6844 | − | 17.1383i | 0.939172 | − | 0.542231i |
(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 | 112.2.v.a.3.4 | ✓ | 56 | |
4.3 | odd | 2 | 448.2.z.a.367.1 | 56 | |||
7.2 | even | 3 | 784.2.w.f.19.14 | 56 | |||
7.3 | odd | 6 | 784.2.j.a.195.12 | 56 | |||
7.4 | even | 3 | 784.2.j.a.195.11 | 56 | |||
7.5 | odd | 6 | inner | 112.2.v.a.19.14 | yes | 56 | |
7.6 | odd | 2 | 784.2.w.f.227.4 | 56 | |||
8.3 | odd | 2 | 896.2.z.a.479.14 | 56 | |||
8.5 | even | 2 | 896.2.z.b.479.1 | 56 | |||
16.3 | odd | 4 | 896.2.z.b.31.1 | 56 | |||
16.5 | even | 4 | 448.2.z.a.143.1 | 56 | |||
16.11 | odd | 4 | inner | 112.2.v.a.59.14 | yes | 56 | |
16.13 | even | 4 | 896.2.z.a.31.14 | 56 | |||
28.19 | even | 6 | 448.2.z.a.47.1 | 56 | |||
56.5 | odd | 6 | 896.2.z.b.607.1 | 56 | |||
56.19 | even | 6 | 896.2.z.a.607.14 | 56 | |||
112.5 | odd | 12 | 448.2.z.a.271.1 | 56 | |||
112.11 | odd | 12 | 784.2.j.a.587.12 | 56 | |||
112.19 | even | 12 | 896.2.z.b.159.1 | 56 | |||
112.27 | even | 4 | 784.2.w.f.619.14 | 56 | |||
112.59 | even | 12 | 784.2.j.a.587.11 | 56 | |||
112.61 | odd | 12 | 896.2.z.a.159.14 | 56 | |||
112.75 | even | 12 | inner | 112.2.v.a.75.4 | yes | 56 | |
112.107 | odd | 12 | 784.2.w.f.411.4 | 56 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
112.2.v.a.3.4 | ✓ | 56 | 1.1 | even | 1 | trivial | |
112.2.v.a.19.14 | yes | 56 | 7.5 | odd | 6 | inner | |
112.2.v.a.59.14 | yes | 56 | 16.11 | odd | 4 | inner | |
112.2.v.a.75.4 | yes | 56 | 112.75 | even | 12 | inner | |
448.2.z.a.47.1 | 56 | 28.19 | even | 6 | |||
448.2.z.a.143.1 | 56 | 16.5 | even | 4 | |||
448.2.z.a.271.1 | 56 | 112.5 | odd | 12 | |||
448.2.z.a.367.1 | 56 | 4.3 | odd | 2 | |||
784.2.j.a.195.11 | 56 | 7.4 | even | 3 | |||
784.2.j.a.195.12 | 56 | 7.3 | odd | 6 | |||
784.2.j.a.587.11 | 56 | 112.59 | even | 12 | |||
784.2.j.a.587.12 | 56 | 112.11 | odd | 12 | |||
784.2.w.f.19.14 | 56 | 7.2 | even | 3 | |||
784.2.w.f.227.4 | 56 | 7.6 | odd | 2 | |||
784.2.w.f.411.4 | 56 | 112.107 | odd | 12 | |||
784.2.w.f.619.14 | 56 | 112.27 | even | 4 | |||
896.2.z.a.31.14 | 56 | 16.13 | even | 4 | |||
896.2.z.a.159.14 | 56 | 112.61 | odd | 12 | |||
896.2.z.a.479.14 | 56 | 8.3 | odd | 2 | |||
896.2.z.a.607.14 | 56 | 56.19 | even | 6 | |||
896.2.z.b.31.1 | 56 | 16.3 | odd | 4 | |||
896.2.z.b.159.1 | 56 | 112.19 | even | 12 | |||
896.2.z.b.479.1 | 56 | 8.5 | even | 2 | |||
896.2.z.b.607.1 | 56 | 56.5 | odd | 6 |