Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [325,2,Mod(126,325)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(325, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("325.126");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 325 = 5^{2} \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 325.e (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: | \(2.59513806569\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Relative dimension: | \(5\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{10} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} + 8x^{8} - 2x^{7} + 52x^{6} - 5x^{5} + 97x^{4} + 60x^{3} + 141x^{2} + 36x + 9 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 276.3 | ||
Root | \(-0.134432 - 0.232843i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 325.276 |
Dual form | 325.2.e.c.126.3 |
$q$-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 \(\left(\mathbb{Z}/325\mathbb{Z}\right)^\times\).
\(n\) | \(27\) | \(301\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.134432 | − | 0.232843i | −0.0950578 | − | 0.164645i | 0.814575 | − | 0.580058i | \(-0.196970\pi\) |
−0.909633 | + | 0.415413i | \(0.863637\pi\) | |||||||
\(3\) | 0.301414 | + | 0.522064i | 0.174021 | + | 0.301414i | 0.939822 | − | 0.341664i | \(-0.110990\pi\) |
−0.765801 | + | 0.643078i | \(0.777657\pi\) | |||||||
\(4\) | 0.963856 | − | 1.66945i | 0.481928 | − | 0.834724i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.0810394 | − | 0.140364i | 0.0330842 | − | 0.0573035i | ||||
\(7\) | 0.715471 | − | 1.23923i | 0.270423 | − | 0.468386i | −0.698547 | − | 0.715564i | \(-0.746170\pi\) |
0.968970 | + | 0.247178i | \(0.0795032\pi\) | |||||||
\(8\) | −1.05602 | −0.373360 | ||||||||
\(9\) | 1.31830 | − | 2.28336i | 0.439433 | − | 0.761120i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 0.0810394 | + | 0.140364i | 0.0244343 | + | 0.0423214i | 0.877984 | − | 0.478690i | \(-0.158888\pi\) |
−0.853550 | + | 0.521011i | \(0.825555\pi\) | |||||||
\(12\) | 1.16208 | 0.335463 | ||||||||
\(13\) | −2.41659 | + | 2.67584i | −0.670241 | + | 0.742144i | ||||
\(14\) | −0.384729 | −0.102823 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.78575 | − | 3.09301i | −0.446437 | − | 0.773252i | ||||
\(17\) | 1.41046 | − | 2.44299i | 0.342088 | − | 0.592513i | −0.642733 | − | 0.766091i | \(-0.722199\pi\) |
0.984820 | + | 0.173577i | \(0.0555327\pi\) | |||||||
\(18\) | −0.708886 | −0.167086 | ||||||||
\(19\) | 1.96386 | − | 3.40150i | 0.450539 | − | 0.780357i | −0.547880 | − | 0.836557i | \(-0.684565\pi\) |
0.998420 | + | 0.0561996i | \(0.0178983\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | 0.862612 | 0.188237 | ||||||||
\(22\) | 0.0217886 | − | 0.0377389i | 0.00464534 | − | 0.00804596i | ||||
\(23\) | 2.36356 | + | 4.09380i | 0.492836 | + | 0.853617i | 0.999966 | − | 0.00825269i | \(-0.00262694\pi\) |
−0.507130 | + | 0.861870i | \(0.669294\pi\) | |||||||
\(24\) | −0.318299 | − | 0.551310i | −0.0649726 | − | 0.112536i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | 0.947917 | + | 0.202967i | 0.185902 | + | 0.0398052i | ||||
\(27\) | 3.39790 | 0.653926 | ||||||||
\(28\) | −1.37922 | − | 2.38888i | −0.260649 | − | 0.451457i | ||||
\(29\) | 1.99641 | + | 3.45788i | 0.370723 | + | 0.642112i | 0.989677 | − | 0.143316i | \(-0.0457765\pi\) |
−0.618954 | + | 0.785427i | \(0.712443\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.453192 | −0.0813958 | −0.0406979 | − | 0.999171i | \(-0.512958\pi\) | ||||
−0.0406979 | + | 0.999171i | \(0.512958\pi\) | |||||||
\(32\) | −1.53614 | + | 2.66068i | −0.271554 | + | 0.470346i | ||||
\(33\) | −0.0488528 | + | 0.0846155i | −0.00850418 | + | 0.0147297i | ||||
\(34\) | −0.758446 | −0.130072 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −2.54130 | − | 4.40166i | −0.423550 | − | 0.733611i | ||||
\(37\) | −2.52179 | − | 4.36787i | −0.414579 | − | 0.718073i | 0.580805 | − | 0.814043i | \(-0.302738\pi\) |
−0.995384 | + | 0.0959702i | \(0.969405\pi\) | |||||||
\(38\) | −1.05602 | −0.171309 | ||||||||
\(39\) | −2.12535 | − | 0.455079i | −0.340329 | − | 0.0728710i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 4.29450 | + | 7.43829i | 0.670688 | + | 1.16167i | 0.977709 | + | 0.209964i | \(0.0673345\pi\) |
−0.307021 | + | 0.951703i | \(0.599332\pi\) | |||||||
\(42\) | −0.115963 | − | 0.200853i | −0.0178934 | − | 0.0309923i | ||||
\(43\) | 2.33101 | − | 4.03742i | 0.355475 | − | 0.615701i | −0.631724 | − | 0.775194i | \(-0.717652\pi\) |
0.987199 | + | 0.159492i | \(0.0509856\pi\) | |||||||
\(44\) | 0.312441 | 0.0471023 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 0.635476 | − | 1.10068i | 0.0936958 | − | 0.162286i | ||||
\(47\) | −11.4269 | −1.66679 | −0.833394 | − | 0.552679i | \(-0.813605\pi\) | ||||
−0.833394 | + | 0.552679i | \(0.813605\pi\) | |||||||
\(48\) | 1.07650 | − | 1.86455i | 0.155379 | − | 0.269125i | ||||
\(49\) | 2.47620 | + | 4.28891i | 0.353743 | + | 0.612701i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 1.70053 | 0.238122 | ||||||||
\(52\) | 2.13793 | + | 6.61349i | 0.296477 | + | 0.917126i | ||||
\(53\) | 7.30525 | 1.00345 | 0.501727 | − | 0.865026i | \(-0.332698\pi\) | ||||
0.501727 | + | 0.865026i | \(0.332698\pi\) | |||||||
\(54\) | −0.456786 | − | 0.791177i | −0.0621607 | − | 0.107666i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | −0.755552 | + | 1.30865i | −0.100965 | + | 0.174876i | ||||
\(57\) | 2.36773 | 0.313614 | ||||||||
\(58\) | 0.536762 | − | 0.929698i | 0.0704803 | − | 0.122075i | ||||
\(59\) | −4.98327 | + | 8.63128i | −0.648767 | + | 1.12370i | 0.334651 | + | 0.942342i | \(0.391382\pi\) |
−0.983418 | + | 0.181355i | \(0.941952\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −0.726596 | + | 1.25850i | −0.0930311 | + | 0.161135i | −0.908785 | − | 0.417264i | \(-0.862989\pi\) |
0.815754 | + | 0.578399i | \(0.196322\pi\) | |||||||
\(62\) | 0.0609235 | + | 0.105523i | 0.00773730 | + | 0.0134014i | ||||
\(63\) | −1.88641 | − | 3.26736i | −0.237665 | − | 0.411649i | ||||
\(64\) | −6.31697 | −0.789621 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 0.0262695 | 0.00323355 | ||||||||
\(67\) | 3.17765 | + | 5.50384i | 0.388211 | + | 0.672402i | 0.992209 | − | 0.124584i | \(-0.0397598\pi\) |
−0.603998 | + | 0.796986i | \(0.706426\pi\) | |||||||
\(68\) | −2.71897 | − | 4.70939i | −0.329723 | − | 0.571097i | ||||
\(69\) | −1.42482 | + | 2.46786i | −0.171528 | + | 0.297095i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −7.02110 | + | 12.1609i | −0.833251 | + | 1.44323i | 0.0621957 | + | 0.998064i | \(0.480190\pi\) |
−0.895447 | + | 0.445169i | \(0.853144\pi\) | |||||||
\(72\) | −1.39215 | + | 2.41128i | −0.164067 | + | 0.284172i | ||||
\(73\) | −7.75845 | −0.908057 | −0.454029 | − | 0.890987i | \(-0.650014\pi\) | ||||
−0.454029 | + | 0.890987i | \(0.650014\pi\) | |||||||
\(74\) | −0.678018 | + | 1.17436i | −0.0788180 | + | 0.136517i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −3.78575 | − | 6.55711i | −0.434255 | − | 0.752152i | ||||
\(77\) | 0.231925 | 0.0264303 | ||||||||
\(78\) | 0.179753 | + | 0.556051i | 0.0203531 | + | 0.0629603i | ||||
\(79\) | −11.2447 | −1.26513 | −0.632563 | − | 0.774509i | \(-0.717997\pi\) | ||||
−0.632563 | + | 0.774509i | \(0.717997\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | −2.93072 | − | 5.07616i | −0.325636 | − | 0.564018i | ||||
\(82\) | 1.15464 | − | 1.99989i | 0.127508 | − | 0.220851i | ||||
\(83\) | 9.45997 | 1.03837 | 0.519183 | − | 0.854663i | \(-0.326236\pi\) | ||||
0.519183 | + | 0.854663i | \(0.326236\pi\) | |||||||
\(84\) | 0.831434 | − | 1.44009i | 0.0907169 | − | 0.157126i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −1.25345 | −0.135163 | ||||||||
\(87\) | −1.20349 | + | 2.08450i | −0.129028 | + | 0.223482i | ||||
\(88\) | −0.0855792 | − | 0.148228i | −0.00912277 | − | 0.0158011i | ||||
\(89\) | 4.33064 | + | 7.50090i | 0.459047 | + | 0.795093i | 0.998911 | − | 0.0466592i | \(-0.0148575\pi\) |
−0.539863 | + | 0.841753i | \(0.681524\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.58699 | + | 4.90920i | 0.166361 | + | 0.514624i | ||||
\(92\) | 9.11252 | 0.950046 | ||||||||
\(93\) | −0.136599 | − | 0.236596i | −0.0141646 | − | 0.0245338i | ||||
\(94\) | 1.53614 | + | 2.66068i | 0.158441 | + | 0.274428i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −1.85206 | −0.189025 | ||||||||
\(97\) | −7.40687 | + | 12.8291i | −0.752054 | + | 1.30260i | 0.194772 | + | 0.980849i | \(0.437603\pi\) |
−0.946826 | + | 0.321747i | \(0.895730\pi\) | |||||||
\(98\) | 0.665761 | − | 1.15313i | 0.0672521 | − | 0.116484i | ||||
\(99\) | 0.427336 | 0.0429489 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | 3.06790 | + | 5.31377i | 0.305268 | + | 0.528740i | 0.977321 | − | 0.211763i | \(-0.0679206\pi\) |
−0.672053 | + | 0.740503i | \(0.734587\pi\) | |||||||
\(102\) | −0.228606 | − | 0.395957i | −0.0226354 | − | 0.0392056i | ||||
\(103\) | 5.63543 | 0.555276 | 0.277638 | − | 0.960686i | \(-0.410448\pi\) | ||||
0.277638 | + | 0.960686i | \(0.410448\pi\) | |||||||
\(104\) | 2.55197 | − | 2.82574i | 0.250241 | − | 0.277086i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −0.982060 | − | 1.70098i | −0.0953861 | − | 0.165214i | ||||
\(107\) | −8.25677 | − | 14.3012i | −0.798212 | − | 1.38254i | −0.920779 | − | 0.390084i | \(-0.872446\pi\) |
0.122567 | − | 0.992460i | \(-0.460887\pi\) | |||||||
\(108\) | 3.27509 | − | 5.67261i | 0.315145 | − | 0.545848i | ||||
\(109\) | 6.24468 | 0.598132 | 0.299066 | − | 0.954232i | \(-0.403325\pi\) | ||||
0.299066 | + | 0.954232i | \(0.403325\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 1.52020 | − | 2.63307i | 0.144291 | − | 0.249920i | ||||
\(112\) | −5.11061 | −0.482907 | ||||||||
\(113\) | −6.95036 | + | 12.0384i | −0.653835 | + | 1.13247i | 0.328350 | + | 0.944556i | \(0.393507\pi\) |
−0.982185 | + | 0.187919i | \(0.939826\pi\) | |||||||
\(114\) | −0.318299 | − | 0.551310i | −0.0298115 | − | 0.0516350i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 7.69699 | 0.714648 | ||||||||
\(117\) | 2.92412 | + | 9.04550i | 0.270335 | + | 0.836256i | ||||
\(118\) | 2.67964 | 0.246681 | ||||||||
\(119\) | −2.01829 | − | 3.49578i | −0.185017 | − | 0.320458i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 5.48687 | − | 9.50353i | 0.498806 | − | 0.863957i | ||||
\(122\) | 0.390711 | 0.0353733 | ||||||||
\(123\) | −2.58884 | + | 4.48401i | −0.233428 | + | 0.404310i | ||||
\(124\) | −0.436812 | + | 0.756581i | −0.0392269 | + | 0.0679430i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −0.507188 | + | 0.878475i | −0.0451839 | + | 0.0782608i | ||||
\(127\) | −2.85158 | − | 4.93907i | −0.253036 | − | 0.438272i | 0.711324 | − | 0.702864i | \(-0.248096\pi\) |
−0.964360 | + | 0.264592i | \(0.914763\pi\) | |||||||
\(128\) | 3.92149 | + | 6.79222i | 0.346614 | + | 0.600353i | ||||
\(129\) | 2.81039 | 0.247441 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 10.7915 | 0.942857 | 0.471428 | − | 0.881904i | \(-0.343739\pi\) | ||||
0.471428 | + | 0.881904i | \(0.343739\pi\) | |||||||
\(132\) | 0.0941741 | + | 0.163114i | 0.00819680 | + | 0.0141973i | ||||
\(133\) | −2.81017 | − | 4.86735i | −0.243672 | − | 0.422053i | ||||
\(134\) | 0.854354 | − | 1.47979i | 0.0738050 | − | 0.127834i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.48948 | + | 2.57985i | −0.127722 | + | 0.221220i | ||||
\(137\) | 11.0943 | − | 19.2158i | 0.947847 | − | 1.64172i | 0.197900 | − | 0.980222i | \(-0.436588\pi\) |
0.749947 | − | 0.661497i | \(-0.230079\pi\) | |||||||
\(138\) | 0.766165 | 0.0652203 | ||||||||
\(139\) | 4.29809 | − | 7.44452i | 0.364560 | − | 0.631436i | −0.624146 | − | 0.781308i | \(-0.714553\pi\) |
0.988705 | + | 0.149872i | \(0.0478862\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.44423 | − | 5.96559i | −0.290057 | − | 0.502393i | ||||
\(142\) | 3.77544 | 0.316828 | ||||||||
\(143\) | −0.571431 | − | 0.122354i | −0.0477854 | − | 0.0102318i | ||||
\(144\) | −9.41661 | −0.784717 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 1.04298 | + | 1.80650i | 0.0863179 | + | 0.149507i | ||||
\(147\) | −1.49272 | + | 2.58547i | −0.123118 | + | 0.213246i | ||||
\(148\) | −9.72256 | −0.799190 | ||||||||
\(149\) | 9.14309 | − | 15.8363i | 0.749031 | − | 1.29736i | −0.199257 | − | 0.979947i | \(-0.563853\pi\) |
0.948288 | − | 0.317412i | \(-0.102814\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −13.0967 | −1.06580 | −0.532899 | − | 0.846179i | \(-0.678897\pi\) | ||||
−0.532899 | + | 0.846179i | \(0.678897\pi\) | |||||||
\(152\) | −2.07387 | + | 3.59205i | −0.168213 | + | 0.291354i | ||||
\(153\) | −3.71883 | − | 6.44120i | −0.300649 | − | 0.520740i | ||||
\(154\) | −0.0311782 | − | 0.0540022i | −0.00251241 | − | 0.00435162i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | −2.80826 | + | 3.10953i | −0.224841 | + | 0.248962i | ||||
\(157\) | 23.1007 | 1.84363 | 0.921817 | − | 0.387627i | \(-0.126705\pi\) | ||||
0.921817 | + | 0.387627i | \(0.126705\pi\) | |||||||
\(158\) | 1.51164 | + | 2.61825i | 0.120260 | + | 0.208296i | ||||
\(159\) | 2.20191 | + | 3.81381i | 0.174622 | + | 0.302455i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 6.76423 | 0.533096 | ||||||||
\(162\) | −0.787966 | + | 1.36480i | −0.0619085 | + | 0.107229i | ||||
\(163\) | −0.655857 | + | 1.13598i | −0.0513707 | + | 0.0889767i | −0.890567 | − | 0.454852i | \(-0.849692\pi\) |
0.839197 | + | 0.543828i | \(0.183026\pi\) | |||||||
\(164\) | 16.5571 | 1.29289 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.27172 | − | 2.20269i | −0.0987048 | − | 0.170962i | ||||
\(167\) | −8.87911 | − | 15.3791i | −0.687086 | − | 1.19007i | −0.972776 | − | 0.231746i | \(-0.925556\pi\) |
0.285690 | − | 0.958322i | \(-0.407777\pi\) | |||||||
\(168\) | −0.910936 | −0.0702802 | ||||||||
\(169\) | −1.32021 | − | 12.9328i | −0.101555 | − | 0.994830i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −5.17790 | − | 8.96839i | −0.395964 | − | 0.685830i | ||||
\(172\) | −4.49351 | − | 7.78299i | −0.342627 | − | 0.593448i | ||||
\(173\) | −6.83327 | + | 11.8356i | −0.519524 | + | 0.899842i | 0.480218 | + | 0.877149i | \(0.340557\pi\) |
−0.999742 | + | 0.0226931i | \(0.992776\pi\) | |||||||
\(174\) | 0.647150 | 0.0490603 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 0.289432 | − | 0.501311i | 0.0218168 | − | 0.0377877i | ||||
\(177\) | −6.00811 | −0.451597 | ||||||||
\(178\) | 1.16435 | − | 2.01672i | 0.0872720 | − | 0.151160i | ||||
\(179\) | −4.06599 | − | 7.04251i | −0.303907 | − | 0.526382i | 0.673111 | − | 0.739542i | \(-0.264958\pi\) |
−0.977017 | + | 0.213160i | \(0.931624\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 4.39262 | 0.326501 | 0.163250 | − | 0.986585i | \(-0.447802\pi\) | ||||
0.163250 | + | 0.986585i | \(0.447802\pi\) | |||||||
\(182\) | 0.929731 | − | 1.02947i | 0.0689163 | − | 0.0763095i | ||||
\(183\) | −0.876025 | −0.0647576 | ||||||||
\(184\) | −2.49597 | − | 4.32314i | −0.184005 | − | 0.318706i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | −0.0367264 | + | 0.0636120i | −0.00269291 | + | 0.00466426i | ||||
\(187\) | 0.457212 | 0.0334347 | ||||||||
\(188\) | −11.0139 | + | 19.0767i | −0.803272 | + | 1.39131i | ||||
\(189\) | 2.43110 | − | 4.21079i | 0.176836 | − | 0.306290i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −1.00707 | + | 1.74430i | −0.0728690 | + | 0.126213i | −0.900158 | − | 0.435564i | \(-0.856549\pi\) |
0.827289 | + | 0.561777i | \(0.189882\pi\) | |||||||
\(192\) | −1.90402 | − | 3.29786i | −0.137411 | − | 0.238003i | ||||
\(193\) | −9.55328 | − | 16.5468i | −0.687660 | − | 1.19106i | −0.972593 | − | 0.232515i | \(-0.925304\pi\) |
0.284932 | − | 0.958548i | \(-0.408029\pi\) | |||||||
\(194\) | 3.98288 | 0.285954 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 9.54681 | 0.681915 | ||||||||
\(197\) | 7.96965 | + | 13.8038i | 0.567814 | + | 0.983483i | 0.996782 | + | 0.0801631i | \(0.0255441\pi\) |
−0.428968 | + | 0.903320i | \(0.641123\pi\) | |||||||
\(198\) | −0.0574477 | − | 0.0995023i | −0.00408263 | − | 0.00707132i | ||||
\(199\) | −5.84073 | + | 10.1164i | −0.414038 | + | 0.717135i | −0.995327 | − | 0.0965623i | \(-0.969215\pi\) |
0.581289 | + | 0.813697i | \(0.302549\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −1.91557 | + | 3.31787i | −0.135114 | + | 0.234025i | ||||
\(202\) | 0.824849 | − | 1.42868i | 0.0580362 | − | 0.100522i | ||||
\(203\) | 5.71349 | 0.401008 | ||||||||
\(204\) | 1.63907 | − | 2.83895i | 0.114758 | − | 0.198766i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | −0.757583 | − | 1.31217i | −0.0527833 | − | 0.0914233i | ||||
\(207\) | 12.4635 | 0.866274 | ||||||||
\(208\) | 12.5918 | + | 2.69615i | 0.873085 | + | 0.186944i | ||||
\(209\) | 0.636599 | 0.0440344 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −10.6092 | − | 18.3757i | −0.730368 | − | 1.26503i | −0.956726 | − | 0.290990i | \(-0.906015\pi\) |
0.226358 | − | 0.974044i | \(-0.427318\pi\) | |||||||
\(212\) | 7.04121 | − | 12.1957i | 0.483592 | − | 0.837607i | ||||
\(213\) | −8.46503 | −0.580014 | ||||||||
\(214\) | −2.21995 | + | 3.84506i | −0.151753 | + | 0.262843i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −3.58825 | −0.244150 | ||||||||
\(217\) | −0.324246 | + | 0.561611i | −0.0220113 | + | 0.0381246i | ||||
\(218\) | −0.839485 | − | 1.45403i | −0.0568571 | − | 0.0984794i | ||||
\(219\) | −2.33850 | − | 4.05041i | −0.158021 | − | 0.273701i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 3.12855 | + | 9.67788i | 0.210449 | + | 0.651005i | ||||
\(222\) | −0.817456 | −0.0548641 | ||||||||
\(223\) | 9.67826 | + | 16.7632i | 0.648104 | + | 1.12255i | 0.983575 | + | 0.180499i | \(0.0577713\pi\) |
−0.335471 | + | 0.942051i | \(0.608895\pi\) | |||||||
\(224\) | 2.19813 | + | 3.80728i | 0.146869 | + | 0.254385i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 3.73740 | 0.248608 | ||||||||
\(227\) | −12.2306 | + | 21.1840i | −0.811773 | + | 1.40603i | 0.0998492 | + | 0.995003i | \(0.468164\pi\) |
−0.911622 | + | 0.411029i | \(0.865169\pi\) | |||||||
\(228\) | 2.28216 | − | 3.95281i | 0.151139 | − | 0.261781i | ||||
\(229\) | 18.1921 | 1.20217 | 0.601085 | − | 0.799185i | \(-0.294735\pi\) | ||||
0.601085 | + | 0.799185i | \(0.294735\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | 0.0699055 | + | 0.121080i | 0.00459945 | + | 0.00796647i | ||||
\(232\) | −2.10825 | − | 3.65159i | −0.138413 | − | 0.239738i | ||||
\(233\) | 11.1406 | 0.729842 | 0.364921 | − | 0.931038i | \(-0.381096\pi\) | ||||
0.364921 | + | 0.931038i | \(0.381096\pi\) | |||||||
\(234\) | 1.71309 | − | 1.89686i | 0.111988 | − | 0.124002i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | 9.60631 | + | 16.6386i | 0.625318 | + | 1.08308i | ||||
\(237\) | −3.38930 | − | 5.87045i | −0.220159 | − | 0.381326i | ||||
\(238\) | −0.542646 | + | 0.939891i | −0.0351745 | + | 0.0609241i | ||||
\(239\) | −20.5517 | −1.32938 | −0.664690 | − | 0.747119i | \(-0.731436\pi\) | ||||
−0.664690 | + | 0.747119i | \(0.731436\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.07397 | − | 1.86017i | 0.0691805 | − | 0.119824i | −0.829360 | − | 0.558714i | \(-0.811295\pi\) |
0.898541 | + | 0.438890i | \(0.144628\pi\) | |||||||
\(242\) | −2.95044 | −0.189662 | ||||||||
\(243\) | 6.86357 | − | 11.8881i | 0.440298 | − | 0.762619i | ||||
\(244\) | 1.40067 | + | 2.42603i | 0.0896686 | + | 0.155311i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 1.39209 | 0.0887567 | ||||||||
\(247\) | 4.35603 | + | 13.4750i | 0.277167 | + | 0.857392i | ||||
\(248\) | 0.478580 | 0.0303899 | ||||||||
\(249\) | 2.85137 | + | 4.93871i | 0.180698 | + | 0.312978i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 8.42052 | − | 14.5848i | 0.531499 | − | 0.920583i | −0.467825 | − | 0.883821i | \(-0.654962\pi\) |
0.999324 | − | 0.0367619i | \(-0.0117043\pi\) | |||||||
\(252\) | −7.27291 | −0.458150 | ||||||||
\(253\) | −0.383082 | + | 0.663518i | −0.0240842 | + | 0.0417150i | ||||
\(254\) | −0.766686 | + | 1.32794i | −0.0481062 | + | 0.0833223i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −5.26262 | + | 9.11513i | −0.328914 | + | 0.569696i | ||||
\(257\) | 0.195356 | + | 0.338366i | 0.0121859 | + | 0.0211067i | 0.872054 | − | 0.489410i | \(-0.162788\pi\) |
−0.859868 | + | 0.510516i | \(0.829454\pi\) | |||||||
\(258\) | −0.377807 | − | 0.654381i | −0.0235212 | − | 0.0407400i | ||||
\(259\) | −7.21707 | −0.448447 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 10.5274 | 0.651632 | ||||||||
\(262\) | −1.45072 | − | 2.51272i | −0.0896259 | − | 0.155237i | ||||
\(263\) | −1.96886 | − | 3.41016i | −0.121405 | − | 0.210280i | 0.798917 | − | 0.601441i | \(-0.205407\pi\) |
−0.920322 | + | 0.391162i | \(0.872073\pi\) | |||||||
\(264\) | 0.0515895 | − | 0.0893557i | 0.00317512 | − | 0.00549946i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | −0.755552 | + | 1.30865i | −0.0463259 | + | 0.0802388i | ||||
\(267\) | −2.61063 | + | 4.52175i | −0.159768 | + | 0.276727i | ||||
\(268\) | 12.2512 | 0.748359 | ||||||||
\(269\) | −7.66555 | + | 13.2771i | −0.467377 | + | 0.809521i | −0.999305 | − | 0.0372686i | \(-0.988134\pi\) |
0.531928 | + | 0.846789i | \(0.321468\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 3.06333 | + | 5.30584i | 0.186084 | + | 0.322307i | 0.943941 | − | 0.330113i | \(-0.107087\pi\) |
−0.757857 | + | 0.652420i | \(0.773754\pi\) | |||||||
\(272\) | −10.0749 | −0.610883 | ||||||||
\(273\) | −2.08458 | + | 2.30821i | −0.126164 | + | 0.139699i | ||||
\(274\) | −5.96570 | −0.360401 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 2.74664 | + | 4.75732i | 0.165328 | + | 0.286357i | ||||
\(277\) | −2.27139 | + | 3.93417i | −0.136475 | + | 0.236381i | −0.926160 | − | 0.377131i | \(-0.876911\pi\) |
0.789685 | + | 0.613512i | \(0.210244\pi\) | |||||||
\(278\) | −2.31121 | −0.138617 | ||||||||
\(279\) | −0.597443 | + | 1.03480i | −0.0357680 | + | 0.0619520i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −18.6453 | −1.11229 | −0.556144 | − | 0.831086i | \(-0.687720\pi\) | ||||
−0.556144 | + | 0.831086i | \(0.687720\pi\) | |||||||
\(282\) | −0.926030 | + | 1.60393i | −0.0551443 | + | 0.0955127i | ||||
\(283\) | −9.65211 | − | 16.7179i | −0.573759 | − | 0.993779i | −0.996175 | − | 0.0873772i | \(-0.972151\pi\) |
0.422417 | − | 0.906402i | \(-0.361182\pi\) | |||||||
\(284\) | 13.5347 | + | 23.4427i | 0.803134 | + | 1.39107i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.0483292 | + | 0.149502i | 0.00285776 | + | 0.00884024i | ||||
\(287\) | 12.2904 | 0.725478 | ||||||||
\(288\) | 4.05019 | + | 7.01514i | 0.238660 | + | 0.413371i | ||||
\(289\) | 4.52119 | + | 7.83092i | 0.265952 | + | 0.460643i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | −8.93014 | −0.523494 | ||||||||
\(292\) | −7.47802 | + | 12.9523i | −0.437618 | + | 0.757977i | ||||
\(293\) | 11.9331 | − | 20.6688i | 0.697142 | − | 1.20748i | −0.272312 | − | 0.962209i | \(-0.587788\pi\) |
0.969453 | − | 0.245276i | \(-0.0788785\pi\) | |||||||
\(294\) | 0.802679 | 0.0468132 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 2.66306 | + | 4.61255i | 0.154787 | + | 0.268099i | ||||
\(297\) | 0.275364 | + | 0.476944i | 0.0159782 | + | 0.0276751i | ||||
\(298\) | −4.91649 | −0.284805 | ||||||||
\(299\) | −16.6661 | − | 3.56853i | −0.963825 | − | 0.206374i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −3.33554 | − | 5.77732i | −0.192257 | − | 0.332999i | ||||
\(302\) | 1.76062 | + | 3.04949i | 0.101312 | + | 0.175478i | ||||
\(303\) | −1.84942 | + | 3.20329i | −0.106246 | + | 0.184024i | ||||
\(304\) | −14.0278 | −0.804551 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | −0.999858 | + | 1.73181i | −0.0571581 | + | 0.0990007i | ||||
\(307\) | −10.7241 | −0.612059 | −0.306030 | − | 0.952022i | \(-0.599001\pi\) | ||||
−0.306030 | + | 0.952022i | \(0.599001\pi\) | |||||||
\(308\) | 0.223543 | − | 0.387187i | 0.0127375 | − | 0.0220620i | ||||
\(309\) | 1.69860 | + | 2.94206i | 0.0966299 | + | 0.167368i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −26.9755 | −1.52964 | −0.764821 | − | 0.644243i | \(-0.777172\pi\) | ||||
−0.764821 | + | 0.644243i | \(0.777172\pi\) | |||||||
\(312\) | 2.24442 | + | 0.480573i | 0.127065 | + | 0.0272071i | ||||
\(313\) | −1.08863 | −0.0615328 | −0.0307664 | − | 0.999527i | \(-0.509795\pi\) | ||||
−0.0307664 | + | 0.999527i | \(0.509795\pi\) | |||||||
\(314\) | −3.10547 | − | 5.37883i | −0.175252 | − | 0.303545i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −10.8383 | + | 18.7724i | −0.609699 | + | 1.05603i | ||||
\(317\) | −3.45818 | −0.194231 | −0.0971154 | − | 0.995273i | \(-0.530962\pi\) | ||||
−0.0971154 | + | 0.995273i | \(0.530962\pi\) | |||||||
\(318\) | 0.592013 | − | 1.02540i | 0.0331984 | − | 0.0575014i | ||||
\(319\) | −0.323575 | + | 0.560448i | −0.0181167 | + | 0.0313791i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 4.97741 | − | 8.62113i | 0.277812 | − | 0.481185i | ||||
\(322\) | −0.909329 | − | 1.57500i | −0.0506749 | − | 0.0877716i | ||||
\(323\) | −5.53989 | − | 9.59538i | −0.308248 | − | 0.533901i | ||||
\(324\) | −11.2992 | −0.627732 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 0.352673 | 0.0195327 | ||||||||
\(327\) | 1.88223 | + | 3.26013i | 0.104088 | + | 0.180285i | ||||
\(328\) | −4.53508 | − | 7.85499i | −0.250408 | − | 0.433719i | ||||
\(329\) | −8.17564 | + | 14.1606i | −0.450737 | + | 0.780700i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −0.303060 | + | 0.524916i | −0.0166577 | + | 0.0288520i | −0.874234 | − | 0.485505i | \(-0.838636\pi\) |
0.857576 | + | 0.514357i | \(0.171969\pi\) | |||||||
\(332\) | 9.11805 | − | 15.7929i | 0.500418 | − | 0.866749i | ||||
\(333\) | −13.2979 | −0.728720 | ||||||||
\(334\) | −2.38727 | + | 4.13488i | −0.130626 | + | 0.226251i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | −1.54041 | − | 2.66807i | −0.0840362 | − | 0.145555i | ||||
\(337\) | 23.0099 | 1.25343 | 0.626715 | − | 0.779249i | \(-0.284399\pi\) | ||||
0.626715 | + | 0.779249i | \(0.284399\pi\) | |||||||
\(338\) | −2.83383 | + | 2.04598i | −0.154140 | + | 0.111287i | ||||
\(339\) | −8.37974 | −0.455125 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | −0.0367264 | − | 0.0636120i | −0.00198885 | − | 0.00344478i | ||||
\(342\) | −1.39215 | + | 2.41128i | −0.0752789 | + | 0.130387i | ||||
\(343\) | 17.1032 | 0.923486 | ||||||||
\(344\) | −2.46159 | + | 4.26360i | −0.132720 | + | 0.229878i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 3.67444 | 0.197539 | ||||||||
\(347\) | −15.1085 | + | 26.1687i | −0.811068 | + | 1.40481i | 0.101050 | + | 0.994881i | \(0.467780\pi\) |
−0.912117 | + | 0.409929i | \(0.865554\pi\) | |||||||
\(348\) | 2.31998 | + | 4.01832i | 0.124364 | + | 0.215405i | ||||
\(349\) | −1.71944 | − | 2.97815i | −0.0920394 | − | 0.159417i | 0.816330 | − | 0.577586i | \(-0.196005\pi\) |
−0.908369 | + | 0.418169i | \(0.862672\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −8.21132 | + | 9.09222i | −0.438288 | + | 0.485307i | ||||
\(352\) | −0.497952 | −0.0265410 | ||||||||
\(353\) | −5.85761 | − | 10.1457i | −0.311769 | − | 0.540000i | 0.666976 | − | 0.745079i | \(-0.267588\pi\) |
−0.978745 | + | 0.205079i | \(0.934255\pi\) | |||||||
\(354\) | 0.807682 | + | 1.39895i | 0.0429278 | + | 0.0743532i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | 16.6965 | 0.884911 | ||||||||
\(357\) | 1.21668 | − | 2.10736i | 0.0643937 | − | 0.111533i | ||||
\(358\) | −1.09320 | + | 1.89348i | −0.0577774 | + | 0.100073i | ||||
\(359\) | −7.27898 | −0.384170 | −0.192085 | − | 0.981378i | \(-0.561525\pi\) | ||||
−0.192085 | + | 0.981378i | \(0.561525\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 1.78654 | + | 3.09438i | 0.0940283 | + | 0.162862i | ||||
\(362\) | −0.590509 | − | 1.02279i | −0.0310365 | − | 0.0537567i | ||||
\(363\) | 6.61527 | 0.347212 | ||||||||
\(364\) | 9.72528 | + | 2.08237i | 0.509743 | + | 0.109146i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | 0.117766 | + | 0.203976i | 0.00615572 | + | 0.0106620i | ||||
\(367\) | −6.29346 | − | 10.9006i | −0.328516 | − | 0.569006i | 0.653702 | − | 0.756752i | \(-0.273215\pi\) |
−0.982218 | + | 0.187746i | \(0.939882\pi\) | |||||||
\(368\) | 8.44144 | − | 14.6210i | 0.440041 | − | 0.762173i | ||||
\(369\) | 22.6457 | 1.17889 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 5.22670 | − | 9.05291i | 0.271357 | − | 0.470004i | ||||
\(372\) | −0.526645 | −0.0273053 | ||||||||
\(373\) | −2.18009 | + | 3.77602i | −0.112881 | + | 0.195515i | −0.916931 | − | 0.399047i | \(-0.869341\pi\) |
0.804050 | + | 0.594562i | \(0.202674\pi\) | |||||||
\(374\) | −0.0614639 | − | 0.106459i | −0.00317822 | − | 0.00550485i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 12.0671 | 0.622311 | ||||||||
\(377\) | −14.0772 | − | 3.01420i | −0.725013 | − | 0.155239i | ||||
\(378\) | −1.30727 | −0.0672387 | ||||||||
\(379\) | 2.90067 | + | 5.02410i | 0.148997 | + | 0.258071i | 0.930857 | − | 0.365383i | \(-0.119062\pi\) |
−0.781860 | + | 0.623454i | \(0.785729\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 1.71901 | − | 2.97741i | 0.0880675 | − | 0.152537i | ||||
\(382\) | 0.541530 | 0.0277071 | ||||||||
\(383\) | 7.61084 | − | 13.1824i | 0.388896 | − | 0.673588i | −0.603405 | − | 0.797435i | \(-0.706190\pi\) |
0.992301 | + | 0.123847i | \(0.0395232\pi\) | |||||||
\(384\) | −2.36398 | + | 4.09454i | −0.120637 | + | 0.208949i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −2.56853 | + | 4.44883i | −0.130735 | + | 0.226440i | ||||
\(387\) | −6.14593 | − | 10.6451i | −0.312415 | − | 0.541119i | ||||
\(388\) | 14.2783 | + | 24.7308i | 0.724871 | + | 1.25551i | ||||
\(389\) | 6.51012 | 0.330076 | 0.165038 | − | 0.986287i | \(-0.447225\pi\) | ||||
0.165038 | + | 0.986287i | \(0.447225\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 13.3348 | 0.674372 | ||||||||
\(392\) | −2.61492 | − | 4.52917i | −0.132073 | − | 0.228758i | ||||
\(393\) | 3.25271 | + | 5.63385i | 0.164077 | + | 0.284190i | ||||
\(394\) | 2.14275 | − | 3.71136i | 0.107950 | − | 0.186975i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 0.411891 | − | 0.713416i | 0.0206983 | − | 0.0358505i | ||||
\(397\) | −6.25576 | + | 10.8353i | −0.313968 | + | 0.543808i | −0.979218 | − | 0.202813i | \(-0.934992\pi\) |
0.665250 | + | 0.746621i | \(0.268325\pi\) | |||||||
\(398\) | 3.14072 | 0.157430 | ||||||||
\(399\) | 1.69405 | − | 2.93417i | 0.0848084 | − | 0.146892i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −3.02478 | − | 5.23907i | −0.151050 | − | 0.261627i | 0.780564 | − | 0.625076i | \(-0.214932\pi\) |
−0.931614 | + | 0.363450i | \(0.881599\pi\) | |||||||
\(402\) | 1.03006 | 0.0513746 | ||||||||
\(403\) | 1.09518 | − | 1.21267i | 0.0545547 | − | 0.0604073i | ||||
\(404\) | 11.8281 | 0.588469 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −0.768075 | − | 1.33035i | −0.0381189 | − | 0.0660239i | ||||
\(407\) | 0.408728 | − | 0.707938i | 0.0202599 | − | 0.0350912i | ||||
\(408\) | −1.79580 | −0.0889052 | ||||||||
\(409\) | 13.6067 | − | 23.5676i | 0.672810 | − | 1.16534i | −0.304294 | − | 0.952578i | \(-0.598421\pi\) |
0.977104 | − | 0.212763i | \(-0.0682461\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | 13.3759 | 0.659783 | ||||||||
\(412\) | 5.43175 | − | 9.40806i | 0.267603 | − | 0.463502i | ||||
\(413\) | 7.13078 | + | 12.3509i | 0.350883 | + | 0.607746i | ||||
\(414\) | −1.67549 | − | 2.90204i | −0.0823460 | − | 0.142628i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −3.40732 | − | 10.5402i | −0.167058 | − | 0.516778i | ||||
\(417\) | 5.18202 | 0.253765 | ||||||||
\(418\) | −0.0855792 | − | 0.148228i | −0.00418582 | − | 0.00725005i | ||||
\(419\) | −1.18807 | − | 2.05780i | −0.0580410 | − | 0.100530i | 0.835545 | − | 0.549422i | \(-0.185152\pi\) |
−0.893586 | + | 0.448892i | \(0.851819\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −26.9425 | −1.31310 | −0.656548 | − | 0.754284i | \(-0.727984\pi\) | ||||
−0.656548 | + | 0.754284i | \(0.727984\pi\) | |||||||
\(422\) | −2.85243 | + | 4.94056i | −0.138854 | + | 0.240503i | ||||
\(423\) | −15.0641 | + | 26.0918i | −0.732442 | + | 1.26863i | ||||
\(424\) | −7.71450 | −0.374649 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 1.13797 | + | 1.97102i | 0.0551348 | + | 0.0954963i | ||||
\(427\) | 1.03972 | + | 1.80084i | 0.0503155 | + | 0.0871489i | ||||
\(428\) | −31.8334 | −1.53872 | ||||||||
\(429\) | −0.108360 | − | 0.335203i | −0.00523169 | − | 0.0161837i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −1.19512 | − | 2.07001i | −0.0575670 | − | 0.0997090i | 0.835806 | − | 0.549025i | \(-0.185001\pi\) |
−0.893373 | + | 0.449316i | \(0.851668\pi\) | |||||||
\(432\) | −6.06780 | − | 10.5097i | −0.291937 | − | 0.505650i | ||||
\(433\) | −2.74609 | + | 4.75636i | −0.131968 | + | 0.228576i | −0.924435 | − | 0.381339i | \(-0.875463\pi\) |
0.792467 | + | 0.609915i | \(0.208796\pi\) | |||||||
\(434\) | 0.174356 | 0.00836937 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 6.01897 | − | 10.4252i | 0.288257 | − | 0.499275i | ||||
\(437\) | 18.5668 | 0.888168 | ||||||||
\(438\) | −0.628739 | + | 1.08901i | −0.0300423 | + | 0.0520348i | ||||
\(439\) | 1.38322 | + | 2.39580i | 0.0660173 | + | 0.114345i | 0.897145 | − | 0.441737i | \(-0.145637\pi\) |
−0.831128 | + | 0.556082i | \(0.812304\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 13.0575 | 0.621786 | ||||||||
\(442\) | 1.83285 | − | 2.02948i | 0.0871798 | − | 0.0965324i | ||||
\(443\) | 21.7259 | 1.03223 | 0.516115 | − | 0.856519i | \(-0.327378\pi\) | ||||
0.516115 | + | 0.856519i | \(0.327378\pi\) | |||||||
\(444\) | −2.93052 | − | 5.07580i | −0.139076 | − | 0.240887i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 2.60214 | − | 4.50703i | 0.123215 | − | 0.213414i | ||||
\(447\) | 11.0234 | 0.521390 | ||||||||
\(448\) | −4.51961 | + | 7.82820i | −0.213532 | + | 0.369847i | ||||
\(449\) | 2.16868 | − | 3.75627i | 0.102347 | − | 0.177269i | −0.810304 | − | 0.586009i | \(-0.800698\pi\) |
0.912651 | + | 0.408740i | \(0.134032\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.696047 | + | 1.20559i | −0.0327756 | + | 0.0567690i | ||||
\(452\) | 13.3983 | + | 23.2065i | 0.630203 | + | 1.09154i | ||||
\(453\) | −3.94754 | − | 6.83734i | −0.185472 | − | 0.321246i | ||||
\(454\) | 6.57673 | 0.308661 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −2.50038 | −0.117091 | ||||||||
\(457\) | −6.46078 | − | 11.1904i | −0.302223 | − | 0.523465i | 0.674416 | − | 0.738351i | \(-0.264395\pi\) |
−0.976639 | + | 0.214886i | \(0.931062\pi\) | |||||||
\(458\) | −2.44561 | − | 4.23591i | −0.114276 | − | 0.197931i | ||||
\(459\) | 4.79261 | − | 8.30105i | 0.223700 | − | 0.387460i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | −1.73028 | + | 2.99693i | −0.0805871 | + | 0.139581i | −0.903502 | − | 0.428583i | \(-0.859013\pi\) |
0.822915 | + | 0.568164i | \(0.192346\pi\) | |||||||
\(462\) | 0.0187951 | − | 0.0325540i | 0.000874426 | − | 0.00151455i | ||||
\(463\) | −40.1003 | −1.86362 | −0.931810 | − | 0.362947i | \(-0.881771\pi\) | ||||
−0.931810 | + | 0.362947i | \(0.881771\pi\) | |||||||
\(464\) | 7.13016 | − | 12.3498i | 0.331009 | − | 0.573325i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −1.49765 | − | 2.59400i | −0.0693772 | − | 0.120165i | ||||
\(467\) | −14.6666 | −0.678690 | −0.339345 | − | 0.940662i | \(-0.610205\pi\) | ||||
−0.339345 | + | 0.940662i | \(0.610205\pi\) | |||||||
\(468\) | 17.9194 | + | 3.83689i | 0.828325 | + | 0.177360i | ||||
\(469\) | 9.09406 | 0.419925 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 6.96286 | + | 12.0600i | 0.320832 | + | 0.555697i | ||||
\(472\) | 5.26244 | − | 9.11481i | 0.242223 | − | 0.419543i | ||||
\(473\) | 0.755614 | 0.0347431 | ||||||||
\(474\) | −0.911262 | + | 1.57835i | −0.0418556 | + | 0.0724961i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | −7.78137 | −0.356659 | ||||||||
\(477\) | 9.63051 | − | 16.6805i | 0.440951 | − | 0.763749i | ||||
\(478\) | 2.76281 | + | 4.78532i | 0.126368 | + | 0.218876i | ||||
\(479\) | −8.20396 | − | 14.2097i | −0.374849 | − | 0.649257i | 0.615456 | − | 0.788171i | \(-0.288972\pi\) |
−0.990304 | + | 0.138915i | \(0.955639\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 17.7818 | + | 3.80743i | 0.810781 | + | 0.173604i | ||||
\(482\) | −0.577503 | −0.0263046 | ||||||||
\(483\) | 2.03883 | + | 3.53136i | 0.0927702 | + | 0.160683i | ||||
\(484\) | −10.5771 | − | 18.3201i | −0.480777 | − | 0.832730i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −3.69073 | −0.167415 | ||||||||
\(487\) | 19.2692 | − | 33.3752i | 0.873170 | − | 1.51238i | 0.0144709 | − | 0.999895i | \(-0.495394\pi\) |
0.858699 | − | 0.512480i | \(-0.171273\pi\) | |||||||
\(488\) | 0.767300 | − | 1.32900i | 0.0347341 | − | 0.0601611i | ||||
\(489\) | −0.790738 | −0.0357584 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | −14.4700 | − | 25.0629i | −0.653024 | − | 1.13107i | −0.982385 | − | 0.186867i | \(-0.940167\pi\) |
0.329361 | − | 0.944204i | \(-0.393167\pi\) | |||||||
\(492\) | 4.99055 | + | 8.64388i | 0.224991 | + | 0.389696i | ||||
\(493\) | 11.2634 | 0.507279 | ||||||||
\(494\) | 2.55197 | − | 2.82574i | 0.114818 | − | 0.127136i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 0.809288 | + | 1.40173i | 0.0363381 | + | 0.0629394i | ||||
\(497\) | 10.0468 | + | 17.4015i | 0.450660 | + | 0.780566i | ||||
\(498\) | 0.766630 | − | 1.32784i | 0.0343535 | − | 0.0595020i | ||||
\(499\) | 29.7078 | 1.32990 | 0.664951 | − | 0.746887i | \(-0.268452\pi\) | ||||
0.664951 | + | 0.746887i | \(0.268452\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 5.35258 | − | 9.27094i | 0.239136 | − | 0.414195i | ||||
\(502\) | −4.52795 | −0.202092 | ||||||||
\(503\) | −10.8914 | + | 18.8644i | −0.485623 | + | 0.841124i | −0.999863 | − | 0.0165222i | \(-0.994741\pi\) |
0.514240 | + | 0.857646i | \(0.328074\pi\) | |||||||
\(504\) | 1.99209 | + | 3.45040i | 0.0887346 | + | 0.153693i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | 0.205994 | 0.00915756 | ||||||||
\(507\) | 6.35382 | − | 4.58736i | 0.282183 | − | 0.203732i | ||||
\(508\) | −10.9940 | −0.487781 | ||||||||
\(509\) | −15.9771 | − | 27.6731i | −0.708171 | − | 1.22659i | −0.965535 | − | 0.260274i | \(-0.916187\pi\) |
0.257364 | − | 0.966315i | \(-0.417146\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −5.55095 | + | 9.61452i | −0.245559 | + | 0.425321i | ||||
\(512\) | 18.5158 | 0.818291 | ||||||||
\(513\) | 6.67298 | − | 11.5579i | 0.294619 | − | 0.510296i | ||||
\(514\) | 0.0525241 | − | 0.0909743i | 0.00231674 | − | 0.00401271i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 2.70881 | − | 4.69181i | 0.119249 | − | 0.206545i | ||||
\(517\) | −0.926030 | − | 1.60393i | −0.0407268 | − | 0.0705408i | ||||
\(518\) | 0.970205 | + | 1.68044i | 0.0426284 | + | 0.0738345i | ||||
\(519\) | −8.23857 | −0.361633 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −36.0985 | −1.58151 | −0.790753 | − | 0.612136i | \(-0.790311\pi\) | ||||
−0.790753 | + | 0.612136i | \(0.790311\pi\) | |||||||
\(522\) | −1.41522 | − | 2.45124i | −0.0619427 | − | 0.107288i | ||||
\(523\) | 11.8702 | + | 20.5598i | 0.519048 | + | 0.899018i | 0.999755 | + | 0.0221363i | \(0.00704678\pi\) |
−0.480707 | + | 0.876881i | \(0.659620\pi\) | |||||||
\(524\) | 10.4014 | − | 18.0158i | 0.454389 | − | 0.787025i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −0.529355 | + | 0.916869i | −0.0230810 | + | 0.0399774i | ||||
\(527\) | −0.639211 | + | 1.10715i | −0.0278445 | + | 0.0482281i | ||||
\(528\) | 0.348955 | 0.0151863 | ||||||||
\(529\) | 0.327186 | − | 0.566703i | 0.0142255 | − | 0.0246393i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 13.1389 | + | 22.7572i | 0.570179 | + | 0.987579i | ||||
\(532\) | −10.8344 | −0.469730 | ||||||||
\(533\) | −30.2817 | − | 6.48390i | −1.31165 | − | 0.280849i | ||||
\(534\) | 1.40381 | 0.0607488 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −3.35566 | − | 5.81217i | −0.144942 | − | 0.251048i | ||||
\(537\) | 2.45109 | − | 4.24542i | 0.105773 | − | 0.183203i | ||||
\(538\) | 4.12198 | 0.177711 | ||||||||
\(539\) | −0.401340 | + | 0.695140i | −0.0172869 | + | 0.0299418i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 30.4301 | 1.30829 | 0.654145 | − | 0.756369i | \(-0.273029\pi\) | ||||
0.654145 | + | 0.756369i | \(0.273029\pi\) | |||||||
\(542\) | 0.823619 | − | 1.42655i | 0.0353775 | − | 0.0612756i | ||||
\(543\) | 1.32400 | + | 2.29323i | 0.0568182 | + | 0.0984119i | ||||
\(544\) | 4.33335 | + | 7.50558i | 0.185791 | + | 0.321799i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 0.817685 | + | 0.175082i | 0.0349937 | + | 0.00749282i | ||||
\(547\) | −16.6979 | −0.713950 | −0.356975 | − | 0.934114i | \(-0.616192\pi\) | ||||
−0.356975 | + | 0.934114i | \(0.616192\pi\) | |||||||
\(548\) | −21.3866 | − | 37.0426i | −0.913588 | − | 1.58238i | ||||
\(549\) | 1.91574 | + | 3.31816i | 0.0817619 | + | 0.141616i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 15.6826 | 0.668102 | ||||||||
\(552\) | 1.50464 | − | 2.60611i | 0.0640416 | − | 0.110923i | ||||
\(553\) | −8.04525 | + | 13.9348i | −0.342119 | + | 0.592567i | ||||
\(554\) | 1.22139 | 0.0518920 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −8.28549 | − | 14.3509i | −0.351383 | − | 0.608613i | ||||
\(557\) | −4.21691 | − | 7.30390i | −0.178676 | − | 0.309476i | 0.762751 | − | 0.646692i | \(-0.223848\pi\) |
−0.941427 | + | 0.337216i | \(0.890515\pi\) | |||||||
\(558\) | 0.321262 | 0.0136001 | ||||||||
\(559\) | 5.17041 | + | 15.9942i | 0.218685 | + | 0.676482i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 0.137810 | + | 0.238694i | 0.00581835 | + | 0.0100777i | ||||
\(562\) | 2.50653 | + | 4.34144i | 0.105732 | + | 0.183132i | ||||
\(563\) | −8.30116 | + | 14.3780i | −0.349852 | + | 0.605962i | −0.986223 | − | 0.165422i | \(-0.947102\pi\) |
0.636371 | + | 0.771383i | \(0.280435\pi\) | |||||||
\(564\) | −13.2790 | −0.559146 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | −2.59511 | + | 4.49485i | −0.109080 | + | 0.188933i | ||||
\(567\) | −8.38739 | −0.352237 | ||||||||
\(568\) | 7.41442 | − | 12.8422i | 0.311102 | − | 0.538845i | ||||
\(569\) | 0.296709 | + | 0.513914i | 0.0124387 | + | 0.0215444i | 0.872178 | − | 0.489189i | \(-0.162707\pi\) |
−0.859739 | + | 0.510734i | \(0.829374\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.03617 | 0.0852111 | 0.0426056 | − | 0.999092i | \(-0.486434\pi\) | ||||
0.0426056 | + | 0.999092i | \(0.486434\pi\) | |||||||
\(572\) | −0.755041 | + | 0.836042i | −0.0315699 | + | 0.0349567i | ||||
\(573\) | −1.21418 | −0.0507231 | ||||||||
\(574\) | −1.65222 | − | 2.86173i | −0.0689623 | − | 0.119446i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −8.32766 | + | 14.4239i | −0.346986 | + | 0.600997i | ||||
\(577\) | −13.6818 | −0.569583 | −0.284791 | − | 0.958590i | \(-0.591924\pi\) | ||||
−0.284791 | + | 0.958590i | \(0.591924\pi\) | |||||||
\(578\) | 1.21558 | − | 2.10545i | 0.0505616 | − | 0.0875753i | ||||
\(579\) | 5.75899 | − | 9.97486i | 0.239335 | − | 0.414541i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | 6.76833 | − | 11.7231i | 0.280798 | − | 0.486356i | ||||
\(582\) | 1.20050 | + | 2.07932i | 0.0497622 | + | 0.0861906i | ||||
\(583\) | 0.592013 | + | 1.02540i | 0.0245187 | + | 0.0424676i | ||||
\(584\) | 8.19308 | 0.339032 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −6.41679 | −0.265075 | ||||||||
\(587\) | 4.49375 | + | 7.78340i | 0.185477 | + | 0.321255i | 0.943737 | − | 0.330697i | \(-0.107284\pi\) |
−0.758260 | + | 0.651952i | \(0.773950\pi\) | |||||||
\(588\) | 2.87754 | + | 4.98405i | 0.118668 | + | 0.205539i | ||||
\(589\) | −0.890005 | + | 1.54153i | −0.0366720 | + | 0.0635178i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −4.80433 | + | 8.32134i | −0.197624 | + | 0.342294i | ||||
\(592\) | −9.00656 | + | 15.5998i | −0.370168 | + | 0.641149i | ||||
\(593\) | 8.67720 | 0.356330 | 0.178165 | − | 0.984001i | \(-0.442984\pi\) | ||||
0.178165 | + | 0.984001i | \(0.442984\pi\) | |||||||
\(594\) | 0.0740353 | − | 0.128233i | 0.00303771 | − | 0.00526146i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | −17.6252 | − | 30.5278i | −0.721958 | − | 1.25047i | ||||
\(597\) | −7.04191 | −0.288206 | ||||||||
\(598\) | 1.40955 | + | 4.36031i | 0.0576407 | + | 0.178306i | ||||
\(599\) | 18.8190 | 0.768924 | 0.384462 | − | 0.923141i | \(-0.374387\pi\) | ||||
0.384462 | + | 0.923141i | \(0.374387\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 12.6673 | + | 21.9404i | 0.516709 | + | 0.894967i | 0.999812 | + | 0.0194029i | \(0.00617651\pi\) |
−0.483102 | + | 0.875564i | \(0.660490\pi\) | |||||||
\(602\) | −0.896806 | + | 1.55331i | −0.0365511 | + | 0.0633084i | ||||
\(603\) | 16.7564 | 0.682371 | ||||||||
\(604\) | −12.6234 | + | 21.8643i | −0.513638 | + | 0.889647i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | 0.994484 | 0.0403982 | ||||||||
\(607\) | 10.5111 | − | 18.2058i | 0.426633 | − | 0.738950i | −0.569939 | − | 0.821687i | \(-0.693033\pi\) |
0.996571 | + | 0.0827376i | \(0.0263663\pi\) | |||||||
\(608\) | 6.03353 | + | 10.4504i | 0.244692 | + | 0.423819i | ||||
\(609\) | 1.72212 | + | 2.98281i | 0.0697840 | + | 0.120869i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 27.6142 | − | 30.5766i | 1.11715 | − | 1.23700i | ||||
\(612\) | −14.3377 | −0.579565 | ||||||||
\(613\) | 3.53721 | + | 6.12662i | 0.142866 | + | 0.247452i | 0.928575 | − | 0.371145i | \(-0.121035\pi\) |
−0.785708 | + | 0.618597i | \(0.787701\pi\) | |||||||
\(614\) | 1.44167 | + | 2.49704i | 0.0581810 | + | 0.100772i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.244918 | −0.00986802 | ||||||||
\(617\) | 8.86509 | − | 15.3548i | 0.356895 | − | 0.618160i | −0.630545 | − | 0.776152i | \(-0.717169\pi\) |
0.987440 | + | 0.157992i | \(0.0505021\pi\) | |||||||
\(618\) | 0.456692 | − | 0.791014i | 0.0183708 | − | 0.0318192i | ||||
\(619\) | −28.9519 | −1.16368 | −0.581838 | − | 0.813305i | \(-0.697666\pi\) | ||||
−0.581838 | + | 0.813305i | \(0.697666\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 8.03113 | + | 13.9103i | 0.322278 | + | 0.558202i | ||||
\(622\) | 3.62637 | + | 6.28106i | 0.145404 | + | 0.251848i | ||||
\(623\) | 12.3938 | 0.496547 | ||||||||
\(624\) | 2.38778 | + | 7.38639i | 0.0955878 | + | 0.295692i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | 0.146346 | + | 0.253479i | 0.00584917 | + | 0.0101311i | ||||
\(627\) | 0.191880 | + | 0.332345i | 0.00766294 | + | 0.0132726i | ||||
\(628\) | 22.2657 | − | 38.5653i | 0.888498 | − | 1.53892i | ||||
\(629\) | −14.2276 | −0.567290 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −19.0058 | + | 32.9191i | −0.756611 | + | 1.31049i | 0.187959 | + | 0.982177i | \(0.439813\pi\) |
−0.944570 | + | 0.328311i | \(0.893521\pi\) | |||||||
\(632\) | 11.8746 | 0.472347 | ||||||||
\(633\) | 6.39553 | − | 11.0774i | 0.254199 | − | 0.440286i | ||||
\(634\) | 0.464890 | + | 0.805214i | 0.0184631 | + | 0.0319791i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 8.48928 | 0.336622 | ||||||||
\(637\) | −17.4604 | − | 3.73861i | −0.691805 | − | 0.148129i | ||||
\(638\) | 0.173995 | 0.00688854 | ||||||||
\(639\) | 18.5118 | + | 32.0634i | 0.732316 | + | 1.26841i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −1.51046 | + | 2.61619i | −0.0596595 | + | 0.103333i | −0.894313 | − | 0.447443i | \(-0.852335\pi\) |
0.834653 | + | 0.550776i | \(0.185668\pi\) | |||||||
\(642\) | −2.67649 | −0.105633 | ||||||||
\(643\) | 13.4774 | − | 23.3436i | 0.531499 | − | 0.920583i | −0.467825 | − | 0.883821i | \(-0.654962\pi\) |
0.999324 | − | 0.0367618i | \(-0.0117043\pi\) | |||||||
\(644\) | 6.51975 | − | 11.2925i | 0.256914 | − | 0.444988i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −1.48948 | + | 2.57985i | −0.0586027 | + | 0.101503i | ||||
\(647\) | 7.86878 | + | 13.6291i | 0.309354 | + | 0.535817i | 0.978221 | − | 0.207565i | \(-0.0665539\pi\) |
−0.668867 | + | 0.743382i | \(0.733221\pi\) | |||||||
\(648\) | 3.09490 | + | 5.36053i | 0.121579 | + | 0.210582i | ||||
\(649\) | −1.61536 | −0.0634086 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −0.390929 | −0.0153217 | ||||||||
\(652\) | 1.26430 | + | 2.18984i | 0.0495140 | + | 0.0857607i | ||||
\(653\) | 7.15913 | + | 12.4000i | 0.280158 | + | 0.485249i | 0.971424 | − | 0.237353i | \(-0.0762796\pi\) |
−0.691265 | + | 0.722601i | \(0.742946\pi\) | |||||||
\(654\) | 0.506065 | − | 0.876530i | 0.0197887 | − | 0.0342750i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | 15.3378 | − | 26.5659i | 0.598841 | − | 1.03722i | ||||
\(657\) | −10.2280 | + | 17.7153i | −0.399030 | + | 0.691141i | ||||
\(658\) | 4.39627 | 0.171384 | ||||||||
\(659\) | −9.66057 | + | 16.7326i | −0.376322 | + | 0.651809i | −0.990524 | − | 0.137340i | \(-0.956145\pi\) |
0.614202 | + | 0.789149i | \(0.289478\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 16.6729 | + | 28.8783i | 0.648501 | + | 1.12324i | 0.983481 | + | 0.181011i | \(0.0579370\pi\) |
−0.334980 | + | 0.942225i | \(0.608730\pi\) | |||||||
\(662\) | 0.162964 | 0.00633378 | ||||||||
\(663\) | −4.10949 | + | 4.55035i | −0.159599 | + | 0.176721i | ||||
\(664\) | −9.98992 | −0.387684 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 1.78766 | + | 3.09632i | 0.0692705 | + | 0.119980i | ||||
\(667\) | −9.43724 | + | 16.3458i | −0.365412 | + | 0.632911i | ||||
\(668\) | −34.2328 | −1.32450 | ||||||||
\(669\) | −5.83433 | + | 10.1054i | −0.225568 | + | 0.390695i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | −0.235532 | −0.00909259 | ||||||||
\(672\) | −1.32510 | + | 2.29513i | −0.0511167 | + | 0.0885367i | ||||
\(673\) | 6.48159 | + | 11.2264i | 0.249847 | + | 0.432747i | 0.963483 | − | 0.267769i | \(-0.0862864\pi\) |
−0.713636 | + | 0.700516i | \(0.752953\pi\) | |||||||
\(674\) | −3.09327 | − | 5.35770i | −0.119148 | − | 0.206371i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −22.8631 | − | 10.2613i | −0.879350 | − | 0.394666i | ||||
\(677\) | −42.5281 | −1.63449 | −0.817243 | − | 0.576293i | \(-0.804499\pi\) | ||||
−0.817243 | + | 0.576293i | \(0.804499\pi\) | |||||||
\(678\) | 1.12651 | + | 1.95116i | 0.0432632 | + | 0.0749340i | ||||
\(679\) | 10.5988 | + | 18.3577i | 0.406745 | + | 0.704503i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | −14.7459 | −0.565064 | ||||||||
\(682\) | −0.00987441 | + | 0.0171030i | −0.000378111 | + | 0.000654907i | ||||
\(683\) | 17.8080 | − | 30.8444i | 0.681406 | − | 1.18023i | −0.293146 | − | 0.956068i | \(-0.594702\pi\) |
0.974552 | − | 0.224162i | \(-0.0719645\pi\) | |||||||
\(684\) | −19.9630 | −0.763304 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −2.29922 | − | 3.98236i | −0.0877845 | − | 0.152047i | ||||
\(687\) | 5.48337 | + | 9.49747i | 0.209203 | + | 0.362351i | ||||
\(688\) | −16.6504 | −0.634790 | ||||||||
\(689\) | −17.6538 | + | 19.5477i | −0.672556 | + | 0.744707i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −4.61739 | − | 7.99755i | −0.175654 | − | 0.304241i | 0.764734 | − | 0.644347i | \(-0.222871\pi\) |
−0.940387 | + | 0.340105i | \(0.889537\pi\) | |||||||
\(692\) | 13.1726 | + | 22.8156i | 0.500746 | + | 0.867318i | ||||
\(693\) | 0.305747 | − | 0.529569i | 0.0116144 | − | 0.0201167i | ||||
\(694\) | 8.12427 | 0.308393 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 1.27091 | − | 2.20128i | 0.0481737 | − | 0.0834393i | ||||
\(697\) | 24.2289 | 0.917737 | ||||||||
\(698\) | −0.462295 | + | 0.800718i | −0.0174981 | + | 0.0303076i | ||||
\(699\) | 3.35792 | + | 5.81609i | 0.127008 | + | 0.219985i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −37.7408 | −1.42545 | −0.712726 | − | 0.701443i | \(-0.752539\pi\) | ||||
−0.712726 | + | 0.701443i | \(0.752539\pi\) | |||||||
\(702\) | 3.22093 | + | 0.689663i | 0.121566 | + | 0.0260296i | ||||
\(703\) | −19.8097 | −0.747138 | ||||||||
\(704\) | −0.511923 | − | 0.886677i | −0.0192938 | − | 0.0334179i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −1.57490 | + | 2.72781i | −0.0592722 | + | 0.102662i | ||||
\(707\) | 8.77999 | 0.330206 | ||||||||
\(708\) | −5.79095 | + | 10.0302i | −0.217637 | + | 0.376959i | ||||
\(709\) | −21.8160 | + | 37.7865i | −0.819318 | + | 1.41910i | 0.0868677 | + | 0.996220i | \(0.472314\pi\) |
−0.906186 | + | 0.422880i | \(0.861019\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −14.8239 | + | 25.6757i | −0.555938 | + | 0.962913i | ||||
\(712\) | −4.57325 | − | 7.92110i | −0.171390 | − | 0.296856i | ||||
\(713\) | −1.07115 | − | 1.85528i | −0.0401148 | − | 0.0694808i | ||||
\(714\) | −0.654244 | −0.0244845 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −15.6761 | −0.585844 | ||||||||
\(717\) | −6.19458 | − | 10.7293i | −0.231341 | − | 0.400694i | ||||
\(718\) | 0.978528 | + | 1.69486i | 0.0365183 | + | 0.0632516i | ||||
\(719\) | −4.33064 | + | 7.50090i | −0.161506 | + | 0.279736i | −0.935409 | − | 0.353568i | \(-0.884968\pi\) |
0.773903 | + | 0.633304i | \(0.218302\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 4.03199 | − | 6.98361i | 0.150159 | − | 0.260083i | ||||
\(722\) | 0.480336 | − | 0.831966i | 0.0178762 | − | 0.0309626i | ||||
\(723\) | 1.29484 | 0.0481555 | ||||||||
\(724\) | 4.23385 | − | 7.33325i | 0.157350 | − | 0.272538i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −0.889304 | − | 1.54032i | −0.0330052 | − | 0.0571666i | ||||
\(727\) | −11.1560 | −0.413752 | −0.206876 | − | 0.978367i | \(-0.566330\pi\) | ||||
−0.206876 | + | 0.978367i | \(0.566330\pi\) | |||||||
\(728\) | −1.67589 | − | 5.18421i | −0.0621126 | − | 0.192140i | ||||
\(729\) | −9.30924 | −0.344787 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −6.57560 | − | 11.3893i | −0.243207 | − | 0.421248i | ||||
\(732\) | −0.844362 | + | 1.46248i | −0.0312085 | + | 0.0540547i | ||||
\(733\) | 14.3003 | 0.528192 | 0.264096 | − | 0.964496i | \(-0.414926\pi\) | ||||
0.264096 | + | 0.964496i | \(0.414926\pi\) | |||||||
\(734\) | −1.69208 | + | 2.93078i | −0.0624560 | + | 0.108177i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −14.5231 | −0.535327 | ||||||||
\(737\) | −0.515029 | + | 0.892056i | −0.0189713 | + | 0.0328593i | ||||
\(738\) | −3.04431 | − | 5.27290i | −0.112063 | − | 0.194098i | ||||
\(739\) | −23.8783 | − | 41.3584i | −0.878376 | − | 1.52139i | −0.853122 | − | 0.521712i | \(-0.825294\pi\) |
−0.0252546 | − | 0.999681i | \(-0.508040\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | −5.72184 | + | 6.33567i | −0.210197 | + | 0.232747i | ||||
\(742\) | −2.81054 | −0.103178 | ||||||||
\(743\) | −14.3652 | − | 24.8813i | −0.527009 | − | 0.912807i | −0.999505 | − | 0.0314736i | \(-0.989980\pi\) |
0.472495 | − | 0.881333i | \(-0.343353\pi\) | |||||||
\(744\) | 0.144251 | + | 0.249850i | 0.00528849 | + | 0.00915993i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 1.17229 | 0.0429207 | ||||||||
\(747\) | 12.4711 | − | 21.6005i | 0.456292 | − | 0.790322i | ||||
\(748\) | 0.440687 | − | 0.763292i | 0.0161131 | − | 0.0279087i | ||||
\(749\) | −23.6299 | −0.863419 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 15.6734 | + | 27.1472i | 0.571932 | + | 0.990614i | 0.996368 | + | 0.0851565i | \(0.0271390\pi\) |
−0.424436 | + | 0.905458i | \(0.639528\pi\) | |||||||
\(752\) | 20.4056 | + | 35.3436i | 0.744116 | + | 1.28885i | ||||
\(753\) | 10.1523 | 0.369969 | ||||||||
\(754\) | 1.19059 | + | 3.68298i | 0.0433587 | + | 0.134126i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −4.68646 | − | 8.11719i | −0.170445 | − | 0.295219i | ||||
\(757\) | 24.7737 | + | 42.9093i | 0.900416 | + | 1.55957i | 0.826955 | + | 0.562268i | \(0.190071\pi\) |
0.0734612 | + | 0.997298i | \(0.476595\pi\) | |||||||
\(758\) | 0.779885 | − | 1.35080i | 0.0283267 | − | 0.0490633i | ||||
\(759\) | −0.461866 | −0.0167647 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −3.96245 | + | 6.86317i | −0.143639 | + | 0.248790i | −0.928864 | − | 0.370420i | \(-0.879214\pi\) |
0.785225 | + | 0.619210i | \(0.212547\pi\) | |||||||
\(762\) | −0.924360 | −0.0334860 | ||||||||
\(763\) | 4.46789 | − | 7.73861i | 0.161749 | − | 0.280157i | ||||
\(764\) | 1.94134 | + | 3.36250i | 0.0702352 | + | 0.121651i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −4.09256 | −0.147870 | ||||||||
\(767\) | −11.0534 | − | 34.1927i | −0.399115 | − | 1.23463i | ||||
\(768\) | −6.34491 | −0.228952 | ||||||||
\(769\) | 25.2077 | + | 43.6611i | 0.909015 | + | 1.57446i | 0.815436 | + | 0.578848i | \(0.196497\pi\) |
0.0935790 | + | 0.995612i | \(0.470169\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −0.117766 | + | 0.203976i | −0.00424123 | + | 0.00734603i | ||||
\(772\) | −36.8320 | −1.32561 | ||||||||
\(773\) | 5.41692 | − | 9.38239i | 0.194833 | − | 0.337461i | −0.752013 | − | 0.659149i | \(-0.770917\pi\) |
0.946846 | + | 0.321688i | \(0.104250\pi\) | |||||||
\(774\) | −1.65242 | + | 2.86208i | −0.0593950 | + | 0.102875i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | 7.82180 | − | 13.5478i | 0.280786 | − | 0.486336i | ||||
\(777\) | −2.17533 | − | 3.76777i | −0.0780394 | − | 0.135168i | ||||
\(778\) | −0.875168 | − | 1.51584i | −0.0313763 | − | 0.0543453i | ||||
\(779\) | 33.7351 | 1.20869 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −2.27594 | −0.0814396 | ||||||||
\(782\) | −1.79263 | − | 3.10493i | −0.0641043 | − | 0.111032i | ||||
\(783\) | 6.78359 | + | 11.7495i | 0.242426 | + | 0.419893i | ||||
\(784\) | 8.84375 | − | 15.3178i | 0.315848 | − | 0.547065i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 0.874535 | − | 1.51474i | 0.0311936 | − | 0.0540290i | ||||
\(787\) | −8.13008 | + | 14.0817i | −0.289806 | + | 0.501959i | −0.973763 | − | 0.227563i | \(-0.926924\pi\) |
0.683957 | + | 0.729522i | \(0.260257\pi\) | |||||||
\(788\) | 30.7264 | 1.09458 | ||||||||
\(789\) | 1.18688 | − | 2.05574i | 0.0422541 | − | 0.0731863i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 9.94556 | + | 17.2262i | 0.353624 | + | 0.612494i | ||||
\(792\) | −0.451276 | −0.0160354 | ||||||||
\(793\) | −1.61166 | − | 4.98553i | −0.0572318 | − | 0.177041i | ||||
\(794\) | 3.36390 | 0.119380 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 11.2592 | + | 19.5016i | 0.399073 | + | 0.691215i | ||||
\(797\) | −13.0790 | + | 22.6535i | −0.463283 | + | 0.802430i | −0.999122 | − | 0.0418904i | \(-0.986662\pi\) |
0.535839 | + | 0.844320i | \(0.319995\pi\) | |||||||
\(798\) | −0.910936 | −0.0322468 | ||||||||
\(799\) | −16.1173 | + | 27.9159i | −0.570188 | + | 0.987594i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 22.8363 | 0.806882 | ||||||||
\(802\) | −0.813254 | + | 1.40860i | −0.0287170 | + | 0.0497393i | ||||
\(803\) | −0.628739 | − | 1.08901i | −0.0221877 | − | 0.0384303i | ||||
\(804\) | 3.69267 | + | 6.39590i | 0.130231 | + | 0.225566i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −0.429589 | − | 0.0919833i | −0.0151316 | − | 0.00323997i | ||||
\(807\) | −9.24202 | −0.325335 | ||||||||
\(808\) | −3.23977 | − | 5.61145i | −0.113975 | − | 0.197410i | ||||
\(809\) | −23.6424 | − | 40.9499i | −0.831223 | − | 1.43972i | −0.897069 | − | 0.441891i | \(-0.854308\pi\) |
0.0658456 | − | 0.997830i | \(-0.479026\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 37.8864 | 1.33037 | 0.665185 | − | 0.746678i | \(-0.268353\pi\) | ||||
0.665185 | + | 0.746678i | \(0.268353\pi\) | |||||||
\(812\) | 5.50698 | − | 9.53836i | 0.193257 | − | 0.334731i | ||||
\(813\) | −1.84666 | + | 3.19851i | −0.0647652 | + | 0.112177i | ||||
\(814\) | −0.219785 | −0.00770345 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −3.03673 | − | 5.25976i | −0.106307 | − | 0.184129i | ||||
\(817\) | −9.15553 | − | 15.8578i | −0.320311 | − | 0.554796i | ||||
\(818\) | −7.31672 | −0.255823 | ||||||||
\(819\) | 13.3016 | + | 2.84813i | 0.464795 | + | 0.0995217i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | 6.38473 | + | 11.0587i | 0.222829 | + | 0.385950i | 0.955666 | − | 0.294454i | \(-0.0951376\pi\) |
−0.732837 | + | 0.680404i | \(0.761804\pi\) | |||||||
\(822\) | −1.79814 | − | 3.11448i | −0.0627175 | − | 0.108630i | ||||
\(823\) | −24.9511 | + | 43.2166i | −0.869741 | + | 1.50644i | −0.00747918 | + | 0.999972i | \(0.502381\pi\) |
−0.862262 | + | 0.506463i | \(0.830953\pi\) | |||||||
\(824\) | −5.95113 | −0.207318 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.91721 | − | 3.32070i | 0.0667082 | − | 0.115542i | ||||
\(827\) | 23.5258 | 0.818072 | 0.409036 | − | 0.912518i | \(-0.365865\pi\) | ||||
0.409036 | + | 0.912518i | \(0.365865\pi\) | |||||||
\(828\) | 12.0130 | − | 20.8072i | 0.417482 | − | 0.723099i | ||||
\(829\) | −14.2560 | − | 24.6921i | −0.495132 | − | 0.857594i | 0.504852 | − | 0.863206i | \(-0.331547\pi\) |
−0.999984 | + | 0.00561208i | \(0.998214\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −2.73852 | −0.0949982 | ||||||||
\(832\) | 15.2655 | − | 16.9032i | 0.529236 | − | 0.586012i | ||||
\(833\) | 13.9704 | 0.484045 | ||||||||
\(834\) | −0.696630 | − | 1.20660i | −0.0241223 | − | 0.0417811i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 0.613589 | − | 1.06277i | 0.0212214 | − | 0.0367566i | ||||
\(837\) | −1.53990 | −0.0532268 | ||||||||
\(838\) | −0.319429 | + | 0.553268i | −0.0110345 | + | 0.0191123i | ||||
\(839\) | 18.8853 | − | 32.7103i | 0.651992 | − | 1.12928i | −0.330647 | − | 0.943755i | \(-0.607267\pi\) |
0.982639 | − | 0.185529i | \(-0.0593998\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 6.52873 | − | 11.3081i | 0.225128 | − | 0.389934i | ||||
\(842\) | 3.62193 | + | 6.27337i | 0.124820 | + | 0.216194i | ||||
\(843\) | −5.61996 | − | 9.73406i | −0.193562 | − | 0.335259i | ||||
\(844\) | −40.9030 | −1.40794 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 8.10039 | 0.278497 | ||||||||
\(847\) | −7.85139 | − | 13.5990i | −0.269777 | − | 0.467267i | ||||
\(848\) | −13.0454 | − | 22.5952i | −0.447979 | − | 0.775923i | ||||
\(849\) | 5.81856 | − | 10.0780i | 0.199693 | − | 0.345878i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 11.9208 | − | 20.6474i | 0.408639 | − | 0.707784i | ||||
\(852\) | −8.15907 | + | 14.1319i | −0.279525 | + | 0.484152i | ||||
\(853\) | 31.3114 | 1.07208 | 0.536041 | − | 0.844192i | \(-0.319919\pi\) | ||||
0.536041 | + | 0.844192i | \(0.319919\pi\) | |||||||
\(854\) | 0.279543 | − | 0.484182i | 0.00956575 | − | 0.0165684i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 8.71932 | + | 15.1023i | 0.298020 | + | 0.516186i | ||||
\(857\) | −4.22466 | −0.144312 | −0.0721558 | − | 0.997393i | \(-0.522988\pi\) | ||||
−0.0721558 | + | 0.997393i | \(0.522988\pi\) | |||||||
\(858\) | −0.0634826 | + | 0.0702929i | −0.00216726 | + | 0.00239976i | ||||
\(859\) | 49.6240 | 1.69315 | 0.846574 | − | 0.532271i | \(-0.178661\pi\) | ||||
0.846574 | + | 0.532271i | \(0.178661\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 3.70449 | + | 6.41636i | 0.126249 | + | 0.218669i | ||||
\(862\) | −0.321325 | + | 0.556552i | −0.0109444 | + | 0.0189562i | ||||
\(863\) | −9.56249 | −0.325511 | −0.162755 | − | 0.986666i | \(-0.552038\pi\) | ||||
−0.162755 | + | 0.986666i | \(0.552038\pi\) | |||||||
\(864\) | −5.21966 | + | 9.04072i | −0.177576 | + | 0.307572i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 1.47665 | 0.0501785 | ||||||||
\(867\) | −2.72550 | + | 4.72070i | −0.0925627 | + | 0.160323i | ||||
\(868\) | 0.625053 | + | 1.08262i | 0.0212157 | + | 0.0367467i | ||||
\(869\) | −0.911262 | − | 1.57835i | −0.0309124 | − | 0.0535419i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −22.4064 | − | 4.79766i | −0.759214 | − | 0.162562i | ||||
\(872\) | −6.59451 | −0.223318 | ||||||||
\(873\) | 19.5289 | + | 33.8251i | 0.660955 | + | 1.14481i | ||||
\(874\) | −2.49597 | − | 4.32314i | −0.0844273 | − | 0.146232i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −9.01592 | −0.304620 | ||||||||
\(877\) | 14.2949 | − | 24.7595i | 0.482706 | − | 0.836071i | −0.517097 | − | 0.855927i | \(-0.672987\pi\) |
0.999803 | + | 0.0198561i | \(0.00632079\pi\) | |||||||
\(878\) | 0.371897 | − | 0.644144i | 0.0125509 | − | 0.0217388i | ||||
\(879\) | 14.3873 | 0.485270 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −0.267005 | − | 0.462467i | −0.00899564 | − | 0.0155809i | 0.861493 | − | 0.507770i | \(-0.169530\pi\) |
−0.870488 | + | 0.492189i | \(0.836197\pi\) | |||||||
\(882\) | −1.75535 | − | 3.04035i | −0.0591056 | − | 0.102374i | ||||
\(883\) | −6.51376 | −0.219206 | −0.109603 | − | 0.993975i | \(-0.534958\pi\) | ||||
−0.109603 | + | 0.993975i | \(0.534958\pi\) | |||||||
\(884\) | 19.1722 | + | 4.10514i | 0.644830 | + | 0.138071i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −2.92066 | − | 5.05873i | −0.0981215 | − | 0.169951i | ||||
\(887\) | 3.80456 | + | 6.58969i | 0.127745 | + | 0.221260i | 0.922802 | − | 0.385273i | \(-0.125893\pi\) |
−0.795058 | + | 0.606534i | \(0.792560\pi\) | |||||||
\(888\) | −1.60537 | + | 2.78058i | −0.0538726 | + | 0.0933101i | ||||
\(889\) | −8.16088 | −0.273707 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | 0.475008 | − | 0.822738i | 0.0159134 | − | 0.0275628i | ||||
\(892\) | 37.3138 | 1.24936 | ||||||||
\(893\) | −22.4408 | + | 38.8687i | −0.750954 | + | 1.30069i | ||||
\(894\) | −1.48190 | − | 2.56673i | −0.0495621 | − | 0.0858441i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | 11.2229 | 0.374929 | ||||||||
\(897\) | −3.16039 | − | 9.77638i | −0.105522 | − | 0.326424i | ||||
\(898\) | −1.16616 | −0.0389153 | ||||||||
\(899\) | −0.904756 | − | 1.56708i | −0.0301753 | − | 0.0522652i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 10.3038 | − | 17.8467i | 0.343269 | − | 0.594560i | ||||
\(902\) | 0.374284 | 0.0124623 | ||||||||
\(903\) | 2.01076 | − | 3.48273i | 0.0669138 | − | 0.115898i | ||||
\(904\) | 7.33972 | − | 12.7128i | 0.244115 | − | 0.422820i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | −1.06135 | + | 1.83831i | −0.0352610 | + | 0.0610739i | ||||
\(907\) | 1.81063 | + | 3.13610i | 0.0601209 | + | 0.104132i | 0.894519 | − | 0.447029i | \(-0.147518\pi\) |
−0.834398 | + | 0.551162i | \(0.814185\pi\) | |||||||
\(908\) | 23.5771 | + | 40.8367i | 0.782432 | + | 1.35521i | ||||
\(909\) | 16.1777 | 0.536579 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | −45.7945 | −1.51724 | −0.758620 | − | 0.651533i | \(-0.774126\pi\) | ||||
−0.758620 | + | 0.651533i | \(0.774126\pi\) | |||||||
\(912\) | −4.22818 | − | 7.32342i | −0.140009 | − | 0.242503i | ||||
\(913\) | 0.766630 | + | 1.32784i | 0.0253717 | + | 0.0439451i | ||||
\(914\) | −1.73707 | + | 3.00870i | −0.0574572 | + | 0.0995188i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | 17.5346 | − | 30.3708i | 0.579360 | − | 1.00348i | ||||
\(917\) | 7.72100 | − | 13.3732i | 0.254970 | − | 0.441621i | ||||
\(918\) | −2.57712 | −0.0850577 | ||||||||
\(919\) | 6.09866 | − | 10.5632i | 0.201176 | − | 0.348447i | −0.747731 | − | 0.664001i | \(-0.768857\pi\) |
0.948908 | + | 0.315554i | \(0.102190\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −3.23241 | − | 5.59869i | −0.106511 | − | 0.184483i | ||||
\(922\) | 0.930419 | 0.0306417 | ||||||||
\(923\) | −15.5735 | − | 48.1752i | −0.512608 | − | 1.58571i | ||||
\(924\) | 0.269515 | 0.00886641 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 5.39076 | + | 9.33708i | 0.177152 | + | 0.306835i | ||||
\(927\) | 7.42919 | − | 12.8677i | 0.244007 | − | 0.422632i | ||||
\(928\) | −12.2671 | −0.402686 | ||||||||
\(929\) | −0.251057 | + | 0.434843i | −0.00823690 | + | 0.0142667i | −0.870114 | − | 0.492850i | \(-0.835955\pi\) |
0.861878 | + | 0.507116i | \(0.169289\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 19.4516 | 0.637501 | ||||||||
\(932\) | 10.7379 | − | 18.5986i | 0.351731 | − | 0.609217i | ||||
\(933\) | −8.13080 | − | 14.0830i | −0.266190 | − | 0.461055i | ||||
\(934\) | 1.97166 | + | 3.41502i | 0.0645148 | + | 0.111743i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | −3.08793 | − | 9.55223i | −0.100932 | − | 0.312224i | ||||
\(937\) | −54.6246 | −1.78451 | −0.892254 | − | 0.451535i | \(-0.850877\pi\) | ||||
−0.892254 | + | 0.451535i | \(0.850877\pi\) | |||||||
\(938\) | −1.22253 | − | 2.11749i | −0.0399171 | − | 0.0691384i | ||||
\(939\) | −0.328127 | − | 0.568333i | −0.0107080 | − | 0.0185468i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −32.3464 | −1.05446 | −0.527231 | − | 0.849722i | \(-0.676770\pi\) | ||||
−0.527231 | + | 0.849722i | \(0.676770\pi\) | |||||||
\(942\) | 1.87206 | − | 3.24251i | 0.0609951 | − | 0.105647i | ||||
\(943\) | −20.3006 | + | 35.1617i | −0.661079 | + | 1.14502i | ||||
\(944\) | 35.5955 | 1.15853 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.101579 | − | 0.175939i | −0.00330261 | − | 0.00572028i | ||||
\(947\) | 22.0840 | + | 38.2506i | 0.717633 | + | 1.24298i | 0.961935 | + | 0.273278i | \(0.0881078\pi\) |
−0.244302 | + | 0.969699i | \(0.578559\pi\) | |||||||
\(948\) | −13.0672 | −0.424403 | ||||||||
\(949\) | 18.7490 | − | 20.7603i | 0.608617 | − | 0.673909i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −1.04234 | − | 1.80539i | −0.0338003 | − | 0.0585439i | ||||
\(952\) | 2.13136 | + | 3.69162i | 0.0690777 | + | 0.119646i | ||||
\(953\) | −18.4347 | + | 31.9299i | −0.597159 | + | 1.03431i | 0.396079 | + | 0.918217i | \(0.370371\pi\) |
−0.993238 | + | 0.116094i | \(0.962963\pi\) | |||||||
\(954\) | −5.17859 | −0.167663 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | −19.8089 | + | 34.3100i | −0.640666 | + | 1.10967i | ||||
\(957\) | −0.390120 | −0.0126108 | ||||||||
\(958\) | −2.20575 | + | 3.82047i | −0.0712645 | + | 0.123434i | ||||
\(959\) | −15.8753 | − | 27.4968i | −0.512639 | − | 0.887917i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −30.7946 | −0.993375 | ||||||||
\(962\) | −1.50391 | − | 4.65221i | −0.0484880 | − | 0.149993i | ||||
\(963\) | −43.5396 | −1.40304 | ||||||||
\(964\) | −2.07030 | − | 3.58587i | −0.0666800 | − | 0.115493i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0.548169 | − | 0.949457i | 0.0176370 | − | 0.0305483i | ||||
\(967\) | 48.7127 | 1.56649 | 0.783247 | − | 0.621711i | \(-0.213562\pi\) | ||||
0.783247 | + | 0.621711i | \(0.213562\pi\) | |||||||
\(968\) | −5.79424 | + | 10.0359i | −0.186234 | + | 0.322567i | ||||
\(969\) | 3.33960 | − | 5.78436i | 0.107284 | − | 0.185820i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | 29.2890 | − | 50.7301i | 0.939930 | − | 1.62801i | 0.174331 | − | 0.984687i | \(-0.444224\pi\) |
0.765598 | − | 0.643319i | \(-0.222443\pi\) | |||||||
\(972\) | −13.2310 | − | 22.9167i | −0.424384 | − | 0.735055i | ||||
\(973\) | −6.15033 | − | 10.6527i | −0.197170 | − | 0.341509i | ||||
\(974\) | −10.3616 | −0.332006 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 5.19007 | 0.166130 | ||||||||
\(977\) | −11.5653 | − | 20.0317i | −0.370006 | − | 0.640870i | 0.619560 | − | 0.784949i | \(-0.287311\pi\) |
−0.989566 | + | 0.144080i | \(0.953978\pi\) | |||||||
\(978\) | 0.106300 | + | 0.184118i | 0.00339911 | + | 0.00588744i | ||||
\(979\) | −0.701905 | + | 1.21574i | −0.0224330 | + | 0.0388551i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 8.23236 | − | 14.2589i | 0.262839 | − | 0.455251i | ||||
\(982\) | −3.89047 | + | 6.73850i | −0.124150 | + | 0.215034i | ||||
\(983\) | 32.4869 | 1.03617 | 0.518085 | − | 0.855329i | \(-0.326645\pi\) | ||||
0.518085 | + | 0.855329i | \(0.326645\pi\) | |||||||
\(984\) | 2.73387 | − | 4.73521i | 0.0871527 | − | 0.150953i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −1.51417 | − | 2.62261i | −0.0482209 | − | 0.0835210i | ||||
\(987\) | −9.85700 | −0.313752 | ||||||||
\(988\) | 26.6944 | + | 5.71578i | 0.849261 | + | 0.181843i | ||||
\(989\) | 22.0379 | 0.700764 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −2.66758 | − | 4.62039i | −0.0847386 | − | 0.146772i | 0.820541 | − | 0.571587i | \(-0.193672\pi\) |
−0.905280 | + | 0.424816i | \(0.860339\pi\) | |||||||
\(992\) | 0.696169 | − | 1.20580i | 0.0221034 | − | 0.0382842i | ||||
\(993\) | −0.365387 | −0.0115952 | ||||||||
\(994\) | 2.70122 | − | 4.67865i | 0.0856775 | − | 0.148398i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 10.9932 | 0.348334 | ||||||||
\(997\) | 13.2926 | − | 23.0234i | 0.420980 | − | 0.729158i | −0.575056 | − | 0.818114i | \(-0.695020\pi\) |
0.996036 | + | 0.0889559i | \(0.0283530\pi\) | |||||||
\(998\) | −3.99368 | − | 6.91725i | −0.126418 | − | 0.218962i | ||||
\(999\) | −8.56878 | − | 14.8416i | −0.271104 | − | 0.469566i |
(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 | 325.2.e.c.276.3 | yes | 10 | |
5.2 | odd | 4 | 325.2.o.c.224.6 | 20 | |||
5.3 | odd | 4 | 325.2.o.c.224.5 | 20 | |||
5.4 | even | 2 | 325.2.e.d.276.3 | yes | 10 | ||
13.3 | even | 3 | 4225.2.a.bp.1.3 | 5 | |||
13.9 | even | 3 | inner | 325.2.e.c.126.3 | ✓ | 10 | |
13.10 | even | 6 | 4225.2.a.bo.1.3 | 5 | |||
65.9 | even | 6 | 325.2.e.d.126.3 | yes | 10 | ||
65.22 | odd | 12 | 325.2.o.c.74.5 | 20 | |||
65.29 | even | 6 | 4225.2.a.bn.1.3 | 5 | |||
65.48 | odd | 12 | 325.2.o.c.74.6 | 20 | |||
65.49 | even | 6 | 4225.2.a.bm.1.3 | 5 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
325.2.e.c.126.3 | ✓ | 10 | 13.9 | even | 3 | inner | |
325.2.e.c.276.3 | yes | 10 | 1.1 | even | 1 | trivial | |
325.2.e.d.126.3 | yes | 10 | 65.9 | even | 6 | ||
325.2.e.d.276.3 | yes | 10 | 5.4 | even | 2 | ||
325.2.o.c.74.5 | 20 | 65.22 | odd | 12 | |||
325.2.o.c.74.6 | 20 | 65.48 | odd | 12 | |||
325.2.o.c.224.5 | 20 | 5.3 | odd | 4 | |||
325.2.o.c.224.6 | 20 | 5.2 | odd | 4 | |||
4225.2.a.bm.1.3 | 5 | 65.49 | even | 6 | |||
4225.2.a.bn.1.3 | 5 | 65.29 | even | 6 | |||
4225.2.a.bo.1.3 | 5 | 13.10 | even | 6 | |||
4225.2.a.bp.1.3 | 5 | 13.3 | even | 3 |