Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [605,2,Mod(9,605)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(605, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("605.9");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 605 = 5 \cdot 11^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 605.j (of order \(10\), degree \(4\), not 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: | \(4.83094932229\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{10})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 7x^{14} + 25x^{12} - 57x^{10} + 194x^{8} - 303x^{6} + 235x^{4} - 33x^{2} + 121 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 9.1 | ||
Root | \(-0.972539 - 1.33858i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 605.9 |
Dual form | 605.2.j.d.269.1 |
$q$-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 \(\left(\mathbb{Z}/605\mathbb{Z}\right)^\times\).
\(n\) | \(122\) | \(486\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.57360 | − | 0.511294i | −1.11270 | − | 0.361539i | −0.305725 | − | 0.952120i | \(-0.598899\pi\) |
−0.806979 | + | 0.590581i | \(0.798899\pi\) | |||||||
\(3\) | −1.16075 | − | 1.59764i | −0.670160 | − | 0.922396i | 0.329604 | − | 0.944119i | \(-0.393085\pi\) |
−0.999764 | + | 0.0217231i | \(0.993085\pi\) | |||||||
\(4\) | 0.596764 | + | 0.433574i | 0.298382 | + | 0.216787i | ||||
\(5\) | 0.264988 | + | 2.22031i | 0.118506 | + | 0.992953i | ||||
\(6\) | 1.00970 | + | 3.10753i | 0.412207 | + | 1.26864i | ||||
\(7\) | 1.31845 | − | 1.81468i | 0.498326 | − | 0.685886i | −0.483571 | − | 0.875305i | \(-0.660660\pi\) |
0.981896 | + | 0.189419i | \(0.0606604\pi\) | |||||||
\(8\) | 1.22769 | + | 1.68978i | 0.434055 | + | 0.597426i | ||||
\(9\) | −0.278050 | + | 0.855749i | −0.0926832 | + | 0.285250i | ||||
\(10\) | 0.718246 | − | 3.62937i | 0.227129 | − | 1.14771i | ||||
\(11\) | 0 | 0 | ||||||||
\(12\) | − | 1.45668i | − | 0.420508i | ||||||
\(13\) | −3.51868 | − | 1.14329i | −0.975906 | − | 0.317091i | −0.222708 | − | 0.974885i | \(-0.571490\pi\) |
−0.753198 | + | 0.657794i | \(0.771490\pi\) | |||||||
\(14\) | −3.00254 | + | 2.18148i | −0.802464 | + | 0.583024i | ||||
\(15\) | 3.23967 | − | 3.00058i | 0.836478 | − | 0.774747i | ||||
\(16\) | −1.52381 | − | 4.68982i | −0.380954 | − | 1.17245i | ||||
\(17\) | −2.11573 | + | 0.687441i | −0.513139 | + | 0.166729i | −0.554129 | − | 0.832431i | \(-0.686949\pi\) |
0.0409903 | + | 0.999160i | \(0.486949\pi\) | |||||||
\(18\) | 0.875078 | − | 1.20444i | 0.206258 | − | 0.283890i | ||||
\(19\) | −4.27714 | + | 3.10753i | −0.981244 | + | 0.712916i | −0.957986 | − | 0.286814i | \(-0.907404\pi\) |
−0.0232580 | + | 0.999729i | \(0.507404\pi\) | |||||||
\(20\) | −0.804534 | + | 1.43989i | −0.179899 | + | 0.321970i | ||||
\(21\) | −4.42960 | −0.966617 | ||||||||
\(22\) | 0 | 0 | ||||||||
\(23\) | 3.85415i | 0.803647i | 0.915717 | + | 0.401823i | \(0.131623\pi\) | ||||
−0.915717 | + | 0.401823i | \(0.868377\pi\) | |||||||
\(24\) | 1.27460 | − | 3.92282i | 0.260177 | − | 0.800742i | ||||
\(25\) | −4.85956 | + | 1.17671i | −0.971913 | + | 0.235342i | ||||
\(26\) | 4.95244 | + | 3.59816i | 0.971253 | + | 0.705657i | ||||
\(27\) | −3.94448 | + | 1.28164i | −0.759116 | + | 0.246652i | ||||
\(28\) | 1.57360 | − | 0.511294i | 0.297383 | − | 0.0966255i | ||||
\(29\) | −0.152450 | − | 0.110762i | −0.0283093 | − | 0.0205679i | 0.573541 | − | 0.819177i | \(-0.305569\pi\) |
−0.601850 | + | 0.798609i | \(0.705569\pi\) | |||||||
\(30\) | −6.63212 | + | 3.06530i | −1.21085 | + | 0.559644i | ||||
\(31\) | 0.212253 | − | 0.653249i | 0.0381218 | − | 0.117327i | −0.930185 | − | 0.367092i | \(-0.880353\pi\) |
0.968306 | + | 0.249765i | \(0.0803534\pi\) | |||||||
\(32\) | 3.98166i | 0.703866i | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 3.68079 | 0.631251 | ||||||||
\(35\) | 4.37854 | + | 2.44649i | 0.740108 | + | 0.413532i | ||||
\(36\) | −0.536960 | + | 0.390125i | −0.0894934 | + | 0.0650208i | ||||
\(37\) | 1.52422 | − | 2.09791i | 0.250580 | − | 0.344894i | −0.665134 | − | 0.746724i | \(-0.731626\pi\) |
0.915714 | + | 0.401830i | \(0.131626\pi\) | |||||||
\(38\) | 8.31938 | − | 2.70313i | 1.34958 | − | 0.438506i | ||||
\(39\) | 2.25775 | + | 6.94864i | 0.361529 | + | 1.11267i | ||||
\(40\) | −3.42650 | + | 3.17363i | −0.541778 | + | 0.501795i | ||||
\(41\) | 6.40421 | − | 4.65293i | 1.00017 | − | 0.726666i | 0.0380448 | − | 0.999276i | \(-0.487887\pi\) |
0.962124 | + | 0.272611i | \(0.0878870\pi\) | |||||||
\(42\) | 6.97041 | + | 2.26482i | 1.07556 | + | 0.349470i | ||||
\(43\) | 8.41368i | 1.28307i | 0.767092 | + | 0.641537i | \(0.221703\pi\) | ||||
−0.767092 | + | 0.641537i | \(0.778297\pi\) | |||||||
\(44\) | 0 | 0 | ||||||||
\(45\) | −1.97371 | − | 0.390594i | −0.294223 | − | 0.0582263i | ||||
\(46\) | 1.97060 | − | 6.06490i | 0.290550 | − | 0.894220i | ||||
\(47\) | 7.06117 | + | 9.71886i | 1.02998 | + | 1.41764i | 0.904965 | + | 0.425486i | \(0.139897\pi\) |
0.125012 | + | 0.992155i | \(0.460103\pi\) | |||||||
\(48\) | −5.72386 | + | 7.87822i | −0.826168 | + | 1.13712i | ||||
\(49\) | 0.608337 | + | 1.87227i | 0.0869053 | + | 0.267467i | ||||
\(50\) | 8.24866 | + | 0.632992i | 1.16654 | + | 0.0895186i | ||||
\(51\) | 3.55411 | + | 2.58222i | 0.497676 | + | 0.361582i | ||||
\(52\) | −1.60412 | − | 2.20788i | −0.222451 | − | 0.306178i | ||||
\(53\) | −12.0371 | − | 3.91110i | −1.65343 | − | 0.537231i | −0.673947 | − | 0.738779i | \(-0.735403\pi\) |
−0.979479 | + | 0.201549i | \(0.935403\pi\) | |||||||
\(54\) | 6.86233 | 0.933845 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 4.68506 | 0.626067 | ||||||||
\(57\) | 9.92940 | + | 3.22626i | 1.31518 | + | 0.427328i | ||||
\(58\) | 0.183264 | + | 0.252241i | 0.0240638 | + | 0.0331209i | ||||
\(59\) | −0.278050 | − | 0.202015i | −0.0361990 | − | 0.0263001i | 0.569539 | − | 0.821965i | \(-0.307122\pi\) |
−0.605738 | + | 0.795664i | \(0.707122\pi\) | |||||||
\(60\) | 3.23429 | − | 0.386003i | 0.417545 | − | 0.0498328i | ||||
\(61\) | −0.535643 | − | 1.64854i | −0.0685821 | − | 0.211074i | 0.910892 | − | 0.412645i | \(-0.135395\pi\) |
−0.979474 | + | 0.201572i | \(0.935395\pi\) | |||||||
\(62\) | −0.668004 | + | 0.919429i | −0.0848366 | + | 0.116768i | ||||
\(63\) | 1.18632 | + | 1.63283i | 0.149462 | + | 0.205717i | ||||
\(64\) | −1.01183 | + | 3.11409i | −0.126479 | + | 0.389261i | ||||
\(65\) | 1.60605 | − | 8.11552i | 0.199206 | − | 1.00661i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 0.650461i | 0.0794664i | 0.999210 | + | 0.0397332i | \(0.0126508\pi\) | ||||
−0.999210 | + | 0.0397332i | \(0.987349\pi\) | |||||||
\(68\) | −1.56065 | − | 0.507084i | −0.189256 | − | 0.0614930i | ||||
\(69\) | 6.15754 | − | 4.47371i | 0.741281 | − | 0.538572i | ||||
\(70\) | −5.63919 | − | 6.08852i | −0.674012 | − | 0.727717i | ||||
\(71\) | 1.43619 | + | 4.42013i | 0.170444 | + | 0.524573i | 0.999396 | − | 0.0347464i | \(-0.0110624\pi\) |
−0.828952 | + | 0.559320i | \(0.811062\pi\) | |||||||
\(72\) | −1.78738 | + | 0.580756i | −0.210645 | + | 0.0684427i | ||||
\(73\) | −5.20684 | + | 7.16660i | −0.609415 | + | 0.838787i | −0.996529 | − | 0.0832444i | \(-0.973472\pi\) |
0.387115 | + | 0.922032i | \(0.373472\pi\) | |||||||
\(74\) | −3.47116 | + | 2.52195i | −0.403515 | + | 0.293171i | ||||
\(75\) | 7.52070 | + | 6.39795i | 0.868416 | + | 0.738772i | ||||
\(76\) | −3.89979 | −0.447336 | ||||||||
\(77\) | 0 | 0 | ||||||||
\(78\) | − | 12.0888i | − | 1.36878i | ||||||
\(79\) | −2.23551 | + | 6.88019i | −0.251514 | + | 0.774082i | 0.742982 | + | 0.669311i | \(0.233411\pi\) |
−0.994496 | + | 0.104770i | \(0.966589\pi\) | |||||||
\(80\) | 10.0091 | − | 4.62609i | 1.11905 | − | 0.517212i | ||||
\(81\) | 8.80999 | + | 6.40083i | 0.978888 | + | 0.711203i | ||||
\(82\) | −12.4567 | + | 4.04742i | −1.37561 | + | 0.446963i | ||||
\(83\) | −3.02593 | + | 0.983185i | −0.332139 | + | 0.107919i | −0.470339 | − | 0.882486i | \(-0.655868\pi\) |
0.138200 | + | 0.990404i | \(0.455868\pi\) | |||||||
\(84\) | −2.64342 | − | 1.92056i | −0.288421 | − | 0.209550i | ||||
\(85\) | −2.08698 | − | 4.51541i | −0.226364 | − | 0.489765i | ||||
\(86\) | 4.30186 | − | 13.2398i | 0.463882 | − | 1.42768i | ||||
\(87\) | 0.372127i | 0.0398962i | ||||||||
\(88\) | 0 | 0 | ||||||||
\(89\) | −9.92195 | −1.05172 | −0.525862 | − | 0.850570i | \(-0.676257\pi\) | ||||
−0.525862 | + | 0.850570i | \(0.676257\pi\) | |||||||
\(90\) | 2.90612 | + | 1.62378i | 0.306332 | + | 0.171162i | ||||
\(91\) | −6.71389 | + | 4.87793i | −0.703807 | + | 0.511346i | ||||
\(92\) | −1.67106 | + | 2.30002i | −0.174220 | + | 0.239793i | ||||
\(93\) | −1.29003 | + | 0.419156i | −0.133770 | + | 0.0434644i | ||||
\(94\) | −6.14226 | − | 18.9039i | −0.633526 | − | 1.94979i | ||||
\(95\) | −8.03307 | − | 8.67314i | −0.824175 | − | 0.889845i | ||||
\(96\) | 6.36125 | − | 4.62172i | 0.649243 | − | 0.471703i | ||||
\(97\) | 2.15710 | + | 0.700884i | 0.219020 | + | 0.0711640i | 0.416472 | − | 0.909149i | \(-0.363266\pi\) |
−0.197451 | + | 0.980313i | \(0.563266\pi\) | |||||||
\(98\) | − | 3.25724i | − | 0.329031i | ||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −3.41020 | − | 1.40476i | −0.341020 | − | 0.140476i | ||||
\(101\) | −3.05830 | + | 9.41247i | −0.304312 | + | 0.936576i | 0.675621 | + | 0.737249i | \(0.263876\pi\) |
−0.979933 | + | 0.199327i | \(0.936124\pi\) | |||||||
\(102\) | −4.27249 | − | 5.88057i | −0.423039 | − | 0.582263i | ||||
\(103\) | −6.01958 | + | 8.28525i | −0.593127 | + | 0.816370i | −0.995057 | − | 0.0993007i | \(-0.968339\pi\) |
0.401930 | + | 0.915670i | \(0.368339\pi\) | |||||||
\(104\) | −2.38796 | − | 7.34938i | −0.234159 | − | 0.720666i | ||||
\(105\) | −1.17379 | − | 9.83508i | −0.114550 | − | 0.959805i | ||||
\(106\) | 16.9419 | + | 12.3090i | 1.64554 | + | 1.19556i | ||||
\(107\) | 5.90536 | + | 8.12803i | 0.570893 | + | 0.785767i | 0.992660 | − | 0.120937i | \(-0.0385900\pi\) |
−0.421767 | + | 0.906704i | \(0.638590\pi\) | |||||||
\(108\) | −2.90961 | − | 0.945389i | −0.279977 | − | 0.0909701i | ||||
\(109\) | −8.80173 | −0.843053 | −0.421527 | − | 0.906816i | \(-0.638506\pi\) | ||||
−0.421527 | + | 0.906816i | \(0.638506\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | −5.12094 | −0.486058 | ||||||||
\(112\) | −10.5196 | − | 3.41803i | −0.994010 | − | 0.322973i | ||||
\(113\) | 0.135985 | + | 0.187168i | 0.0127924 | + | 0.0176073i | 0.815365 | − | 0.578947i | \(-0.196536\pi\) |
−0.802573 | + | 0.596554i | \(0.796536\pi\) | |||||||
\(114\) | −13.9753 | − | 10.1537i | −1.30891 | − | 0.950980i | ||||
\(115\) | −8.55742 | + | 1.02130i | −0.797984 | + | 0.0952370i | ||||
\(116\) | −0.0429534 | − | 0.132197i | −0.00398812 | − | 0.0122742i | ||||
\(117\) | 1.95673 | − | 2.69321i | 0.180900 | − | 0.248988i | ||||
\(118\) | 0.334250 | + | 0.460056i | 0.0307702 | + | 0.0423516i | ||||
\(119\) | −1.54198 | + | 4.74573i | −0.141353 | + | 0.435040i | ||||
\(120\) | 9.04763 | + | 1.79051i | 0.825932 | + | 0.163451i | ||||
\(121\) | 0 | 0 | ||||||||
\(122\) | 2.86801i | 0.259658i | ||||||||
\(123\) | −14.8674 | − | 4.83071i | −1.34055 | − | 0.435570i | ||||
\(124\) | 0.409897 | − | 0.297808i | 0.0368098 | − | 0.0267439i | ||||
\(125\) | −3.90039 | − | 10.4779i | −0.348861 | − | 0.937174i | ||||
\(126\) | −1.03194 | − | 3.17598i | −0.0919324 | − | 0.282939i | ||||
\(127\) | −2.31140 | + | 0.751018i | −0.205103 | + | 0.0666421i | −0.409767 | − | 0.912190i | \(-0.634390\pi\) |
0.204664 | + | 0.978832i | \(0.434390\pi\) | |||||||
\(128\) | 7.86516 | − | 10.8255i | 0.695188 | − | 0.956844i | ||||
\(129\) | 13.4420 | − | 9.76619i | 1.18350 | − | 0.859865i | ||||
\(130\) | −6.67669 | + | 11.9494i | −0.585585 | + | 1.04803i | ||||
\(131\) | −1.58846 | −0.138785 | −0.0693924 | − | 0.997589i | \(-0.522106\pi\) | ||||
−0.0693924 | + | 0.997589i | \(0.522106\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 11.8588i | 1.02829i | ||||||||
\(134\) | 0.332577 | − | 1.02357i | 0.0287302 | − | 0.0884226i | ||||
\(135\) | −3.89088 | − | 8.41836i | −0.334874 | − | 0.724537i | ||||
\(136\) | −3.75909 | − | 2.73114i | −0.322339 | − | 0.234193i | ||||
\(137\) | 17.7866 | − | 5.77920i | 1.51961 | − | 0.493750i | 0.573943 | − | 0.818895i | \(-0.305413\pi\) |
0.945664 | + | 0.325145i | \(0.105413\pi\) | |||||||
\(138\) | −11.9769 | + | 3.89153i | −1.01954 | + | 0.331269i | ||||
\(139\) | −9.40675 | − | 6.83441i | −0.797870 | − | 0.579687i | 0.112418 | − | 0.993661i | \(-0.464140\pi\) |
−0.910289 | + | 0.413974i | \(0.864140\pi\) | |||||||
\(140\) | 1.55222 | + | 3.35840i | 0.131186 | + | 0.283836i | ||||
\(141\) | 7.33095 | − | 22.5624i | 0.617378 | − | 1.90009i | ||||
\(142\) | − | 7.68984i | − | 0.645317i | ||||||
\(143\) | 0 | 0 | ||||||||
\(144\) | 4.43700 | 0.369750 | ||||||||
\(145\) | 0.205528 | − | 0.367838i | 0.0170682 | − | 0.0305472i | ||||
\(146\) | 11.8577 | − | 8.61514i | 0.981352 | − | 0.712994i | ||||
\(147\) | 2.28508 | − | 3.14514i | 0.188470 | − | 0.259407i | ||||
\(148\) | 1.81920 | − | 0.591094i | 0.149537 | − | 0.0485876i | ||||
\(149\) | 1.82800 | + | 5.62600i | 0.149755 | + | 0.460900i | 0.997592 | − | 0.0693580i | \(-0.0220951\pi\) |
−0.847836 | + | 0.530258i | \(0.822095\pi\) | |||||||
\(150\) | −8.56335 | − | 13.9131i | −0.699194 | − | 1.13600i | ||||
\(151\) | 10.3375 | − | 7.51064i | 0.841254 | − | 0.611207i | −0.0814664 | − | 0.996676i | \(-0.525960\pi\) |
0.922721 | + | 0.385469i | \(0.125960\pi\) | |||||||
\(152\) | −10.5020 | − | 3.41232i | −0.851828 | − | 0.276776i | ||||
\(153\) | − | 2.00167i | − | 0.161826i | ||||||
\(154\) | 0 | 0 | ||||||||
\(155\) | 1.50666 | + | 0.298166i | 0.121018 | + | 0.0239492i | ||||
\(156\) | −1.66541 | + | 5.12560i | −0.133339 | + | 0.410376i | ||||
\(157\) | −8.43394 | − | 11.6083i | −0.673102 | − | 0.926445i | 0.326724 | − | 0.945120i | \(-0.394055\pi\) |
−0.999826 | + | 0.0186749i | \(0.994055\pi\) | |||||||
\(158\) | 7.03560 | − | 9.68367i | 0.559722 | − | 0.770391i | ||||
\(159\) | 7.72359 | + | 23.7708i | 0.612520 | + | 1.88514i | ||||
\(160\) | −8.84053 | + | 1.05509i | −0.698906 | + | 0.0834124i | ||||
\(161\) | 6.99407 | + | 5.08149i | 0.551210 | + | 0.400478i | ||||
\(162\) | −10.5907 | − | 14.5768i | −0.832084 | − | 1.14527i | ||||
\(163\) | 3.44963 | + | 1.12085i | 0.270196 | + | 0.0877921i | 0.440982 | − | 0.897516i | \(-0.354630\pi\) |
−0.170785 | + | 0.985308i | \(0.554630\pi\) | |||||||
\(164\) | 5.83919 | 0.455964 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 5.26430 | 0.408589 | ||||||||
\(167\) | 3.63370 | + | 1.18066i | 0.281184 | + | 0.0913623i | 0.446214 | − | 0.894926i | \(-0.352772\pi\) |
−0.165030 | + | 0.986289i | \(0.552772\pi\) | |||||||
\(168\) | −5.43819 | − | 7.48502i | −0.419565 | − | 0.577482i | ||||
\(169\) | 0.556767 | + | 0.404515i | 0.0428282 | + | 0.0311165i | ||||
\(170\) | 0.975365 | + | 8.17251i | 0.0748071 | + | 0.626803i | ||||
\(171\) | −1.47000 | − | 4.52421i | −0.112414 | − | 0.345975i | ||||
\(172\) | −3.64795 | + | 5.02098i | −0.278154 | + | 0.382846i | ||||
\(173\) | −1.23855 | − | 1.70472i | −0.0941651 | − | 0.129607i | 0.759335 | − | 0.650700i | \(-0.225524\pi\) |
−0.853500 | + | 0.521093i | \(0.825524\pi\) | |||||||
\(174\) | 0.190266 | − | 0.585579i | 0.0144240 | − | 0.0443926i | ||||
\(175\) | −4.27171 | + | 10.3700i | −0.322911 | + | 0.783899i | ||||
\(176\) | 0 | 0 | ||||||||
\(177\) | 0.678711i | 0.0510151i | ||||||||
\(178\) | 15.6132 | + | 5.07303i | 1.17026 | + | 0.380240i | ||||
\(179\) | 4.06448 | − | 2.95302i | 0.303793 | − | 0.220719i | −0.425435 | − | 0.904989i | \(-0.639879\pi\) |
0.729229 | + | 0.684270i | \(0.239879\pi\) | |||||||
\(180\) | −1.00849 | − | 1.08884i | −0.0751681 | − | 0.0811574i | ||||
\(181\) | −4.83538 | − | 14.8818i | −0.359411 | − | 1.10615i | −0.953408 | − | 0.301685i | \(-0.902451\pi\) |
0.593997 | − | 0.804467i | \(-0.297549\pi\) | |||||||
\(182\) | 13.0590 | − | 4.24314i | 0.968000 | − | 0.314522i | ||||
\(183\) | −2.01202 | + | 2.76931i | −0.148733 | + | 0.204713i | ||||
\(184\) | −6.51265 | + | 4.73172i | −0.480119 | + | 0.348827i | ||||
\(185\) | 5.06191 | + | 2.82832i | 0.372159 | + | 0.207943i | ||||
\(186\) | 2.24430 | 0.164560 | ||||||||
\(187\) | 0 | 0 | ||||||||
\(188\) | 8.86140i | 0.646284i | ||||||||
\(189\) | −2.87481 | + | 8.84777i | −0.209112 | + | 0.643580i | ||||
\(190\) | 8.20632 | + | 17.7553i | 0.595349 | + | 1.28811i | ||||
\(191\) | −2.52078 | − | 1.83145i | −0.182397 | − | 0.132519i | 0.492840 | − | 0.870120i | \(-0.335959\pi\) |
−0.675237 | + | 0.737601i | \(0.735959\pi\) | |||||||
\(192\) | 6.14966 | − | 1.99815i | 0.443814 | − | 0.144204i | ||||
\(193\) | 9.16474 | − | 2.97780i | 0.659692 | − | 0.214347i | 0.0400095 | − | 0.999199i | \(-0.487261\pi\) |
0.619683 | + | 0.784852i | \(0.287261\pi\) | |||||||
\(194\) | −3.03606 | − | 2.20582i | −0.217976 | − | 0.158369i | ||||
\(195\) | −14.8299 | + | 6.85421i | −1.06199 | + | 0.490841i | ||||
\(196\) | −0.448734 | + | 1.38106i | −0.0320524 | + | 0.0986472i | ||||
\(197\) | − | 14.3974i | − | 1.02577i | −0.858457 | − | 0.512885i | \(-0.828577\pi\) | ||
0.858457 | − | 0.512885i | \(-0.171423\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −14.7978 | −1.04899 | −0.524493 | − | 0.851415i | \(-0.675745\pi\) | ||||
−0.524493 | + | 0.851415i | \(0.675745\pi\) | |||||||
\(200\) | −7.95443 | − | 6.76693i | −0.562463 | − | 0.478494i | ||||
\(201\) | 1.03920 | − | 0.755023i | 0.0732995 | − | 0.0532552i | ||||
\(202\) | 9.62508 | − | 13.2478i | 0.677218 | − | 0.932111i | ||||
\(203\) | −0.401995 | + | 0.130616i | −0.0282145 | + | 0.00916745i | ||||
\(204\) | 1.00138 | + | 3.08194i | 0.0701109 | + | 0.215779i | ||||
\(205\) | 12.0280 | + | 12.9864i | 0.840071 | + | 0.907007i | ||||
\(206\) | 13.7086 | − | 9.95989i | 0.955125 | − | 0.693939i | ||||
\(207\) | −3.29819 | − | 1.07165i | −0.229240 | − | 0.0744845i | ||||
\(208\) | 18.2441i | 1.26500i | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | −3.18154 | + | 16.0766i | −0.219547 | + | 1.10939i | ||||
\(211\) | 2.09250 | − | 6.44005i | 0.144054 | − | 0.443352i | −0.852834 | − | 0.522181i | \(-0.825118\pi\) |
0.996888 | + | 0.0788298i | \(0.0251184\pi\) | |||||||
\(212\) | −5.48756 | − | 7.55299i | −0.376888 | − | 0.518741i | ||||
\(213\) | 5.39471 | − | 7.42518i | 0.369640 | − | 0.508765i | ||||
\(214\) | −5.13687 | − | 15.8097i | −0.351149 | − | 1.08073i | ||||
\(215\) | −18.6810 | + | 2.22952i | −1.27403 | + | 0.152052i | ||||
\(216\) | −7.00830 | − | 5.09183i | −0.476854 | − | 0.346455i | ||||
\(217\) | −0.905596 | − | 1.24645i | −0.0614759 | − | 0.0846143i | ||||
\(218\) | 13.8504 | + | 4.50027i | 0.938069 | + | 0.304797i | ||||
\(219\) | 17.4935 | 1.18210 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 8.23051 | 0.553644 | ||||||||
\(222\) | 8.05832 | + | 2.61831i | 0.540839 | + | 0.175729i | ||||
\(223\) | 5.12388 | + | 7.05242i | 0.343121 | + | 0.472265i | 0.945350 | − | 0.326058i | \(-0.105721\pi\) |
−0.602229 | + | 0.798323i | \(0.705721\pi\) | |||||||
\(224\) | 7.22547 | + | 5.24961i | 0.482772 | + | 0.350754i | ||||
\(225\) | 0.344231 | − | 4.48575i | 0.0229487 | − | 0.299050i | ||||
\(226\) | −0.118289 | − | 0.364056i | −0.00786846 | − | 0.0242166i | ||||
\(227\) | 2.23795 | − | 3.08028i | 0.148538 | − | 0.204445i | −0.728264 | − | 0.685297i | \(-0.759672\pi\) |
0.876802 | + | 0.480852i | \(0.159672\pi\) | |||||||
\(228\) | 4.52668 | + | 6.23044i | 0.299787 | + | 0.412621i | ||||
\(229\) | 0.838570 | − | 2.58085i | 0.0554142 | − | 0.170547i | −0.919519 | − | 0.393046i | \(-0.871421\pi\) |
0.974933 | + | 0.222499i | \(0.0714213\pi\) | |||||||
\(230\) | 13.9881 | + | 2.76823i | 0.922351 | + | 0.182532i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | − | 0.393588i | − | 0.0258403i | ||||||
\(233\) | 9.99634 | + | 3.24801i | 0.654882 | + | 0.212784i | 0.617566 | − | 0.786519i | \(-0.288119\pi\) |
0.0373166 | + | 0.999303i | \(0.488119\pi\) | |||||||
\(234\) | −4.45614 | + | 3.23758i | −0.291307 | + | 0.211647i | ||||
\(235\) | −19.7078 | + | 18.2534i | −1.28559 | + | 1.19072i | ||||
\(236\) | −0.0783415 | − | 0.241110i | −0.00509959 | − | 0.0156949i | ||||
\(237\) | 13.5869 | − | 4.41466i | 0.882565 | − | 0.286763i | ||||
\(238\) | 4.85293 | − | 6.67948i | 0.314569 | − | 0.432966i | ||||
\(239\) | −16.2124 | + | 11.7790i | −1.04869 | + | 0.761919i | −0.971963 | − | 0.235133i | \(-0.924448\pi\) |
−0.0767288 | + | 0.997052i | \(0.524448\pi\) | |||||||
\(240\) | −19.0088 | − | 10.6211i | −1.22702 | − | 0.685590i | ||||
\(241\) | −28.4450 | −1.83230 | −0.916152 | − | 0.400832i | \(-0.868721\pi\) | ||||
−0.916152 | + | 0.400832i | \(0.868721\pi\) | |||||||
\(242\) | 0 | 0 | ||||||||
\(243\) | − | 9.06251i | − | 0.581361i | ||||||
\(244\) | 0.395112 | − | 1.21603i | 0.0252944 | − | 0.0778483i | ||||
\(245\) | −3.99582 | + | 1.84683i | −0.255283 | + | 0.117989i | ||||
\(246\) | 20.9254 | + | 15.2032i | 1.33416 | + | 0.969321i | ||||
\(247\) | 18.6027 | − | 6.04438i | 1.18366 | − | 0.384595i | ||||
\(248\) | 1.36443 | − | 0.443329i | 0.0866411 | − | 0.0281514i | ||||
\(249\) | 5.08313 | + | 3.69311i | 0.322130 | + | 0.234041i | ||||
\(250\) | 0.780354 | + | 18.4823i | 0.0493539 | + | 1.16892i | ||||
\(251\) | −7.36604 | + | 22.6703i | −0.464940 | + | 1.43094i | 0.394117 | + | 0.919060i | \(0.371050\pi\) |
−0.859058 | + | 0.511879i | \(0.828950\pi\) | |||||||
\(252\) | 1.48877i | 0.0937838i | ||||||||
\(253\) | 0 | 0 | ||||||||
\(254\) | 4.02120 | 0.252313 | ||||||||
\(255\) | −4.79152 | + | 8.57550i | −0.300057 | + | 0.537018i | ||||
\(256\) | −12.6136 | + | 9.16432i | −0.788350 | + | 0.572770i | ||||
\(257\) | −14.5044 | + | 19.9636i | −0.904758 | + | 1.24529i | 0.0641671 | + | 0.997939i | \(0.479561\pi\) |
−0.968925 | + | 0.247354i | \(0.920439\pi\) | |||||||
\(258\) | −26.1458 | + | 8.49527i | −1.62776 | + | 0.528892i | ||||
\(259\) | −1.79744 | − | 5.53196i | −0.111688 | − | 0.343739i | ||||
\(260\) | 4.47711 | − | 4.14670i | 0.277659 | − | 0.257168i | ||||
\(261\) | 0.137173 | − | 0.0996619i | 0.00849079 | − | 0.00616892i | ||||
\(262\) | 2.49961 | + | 0.812172i | 0.154426 | + | 0.0501761i | ||||
\(263\) | − | 5.44098i | − | 0.335505i | −0.985829 | − | 0.167753i | \(-0.946349\pi\) | ||
0.985829 | − | 0.167753i | \(-0.0536510\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | 5.49416 | − | 27.7625i | 0.337504 | − | 1.70544i | ||||
\(266\) | 6.06332 | − | 18.6610i | 0.371766 | − | 1.14418i | ||||
\(267\) | 11.5169 | + | 15.8517i | 0.704824 | + | 0.970107i | ||||
\(268\) | −0.282023 | + | 0.388171i | −0.0172273 | + | 0.0237113i | ||||
\(269\) | 2.07213 | + | 6.37738i | 0.126340 | + | 0.388835i | 0.994143 | − | 0.108074i | \(-0.0344682\pi\) |
−0.867803 | + | 0.496909i | \(0.834468\pi\) | |||||||
\(270\) | 1.81843 | + | 15.2365i | 0.110666 | + | 0.927265i | ||||
\(271\) | −4.09349 | − | 2.97409i | −0.248662 | − | 0.180663i | 0.456472 | − | 0.889738i | \(-0.349113\pi\) |
−0.705134 | + | 0.709075i | \(0.749113\pi\) | |||||||
\(272\) | 6.44795 | + | 8.87484i | 0.390964 | + | 0.538116i | ||||
\(273\) | 15.5863 | + | 5.06430i | 0.943327 | + | 0.306505i | ||||
\(274\) | −30.9438 | −1.86938 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | 5.61428 | 0.337940 | ||||||||
\(277\) | −10.1703 | − | 3.30453i | −0.611074 | − | 0.198550i | −0.0129009 | − | 0.999917i | \(-0.504107\pi\) |
−0.598173 | + | 0.801367i | \(0.704107\pi\) | |||||||
\(278\) | 11.3081 | + | 15.5642i | 0.678214 | + | 0.933481i | ||||
\(279\) | 0.500000 | + | 0.363271i | 0.0299342 | + | 0.0217485i | ||||
\(280\) | 1.24148 | + | 10.4023i | 0.0741928 | + | 0.621655i | ||||
\(281\) | 4.23963 | + | 13.0482i | 0.252915 | + | 0.778392i | 0.994233 | + | 0.107238i | \(0.0342008\pi\) |
−0.741319 | + | 0.671153i | \(0.765799\pi\) | |||||||
\(282\) | −23.0720 | + | 31.7559i | −1.37392 | + | 1.89103i | ||||
\(283\) | −12.9132 | − | 17.7735i | −0.767611 | − | 1.05653i | −0.996543 | − | 0.0830832i | \(-0.973523\pi\) |
0.228932 | − | 0.973442i | \(-0.426477\pi\) | |||||||
\(284\) | −1.05939 | + | 3.26047i | −0.0628633 | + | 0.193473i | ||||
\(285\) | −4.53213 | + | 22.9013i | −0.268460 | + | 1.35655i | ||||
\(286\) | 0 | 0 | ||||||||
\(287\) | − | 17.7563i | − | 1.04812i | ||||||
\(288\) | −3.40730 | − | 1.10710i | −0.200777 | − | 0.0652365i | ||||
\(289\) | −9.74956 | + | 7.08347i | −0.573504 | + | 0.416675i | ||||
\(290\) | −0.511492 | + | 0.473744i | −0.0300358 | + | 0.0278192i | ||||
\(291\) | −1.38410 | − | 4.25981i | −0.0811372 | − | 0.249715i | ||||
\(292\) | −6.21450 | + | 2.01922i | −0.363676 | + | 0.118166i | ||||
\(293\) | −8.25135 | + | 11.3570i | −0.482049 | + | 0.663483i | −0.978897 | − | 0.204354i | \(-0.934491\pi\) |
0.496848 | + | 0.867837i | \(0.334491\pi\) | |||||||
\(294\) | −5.20389 | + | 3.78085i | −0.303497 | + | 0.220504i | ||||
\(295\) | 0.374856 | − | 0.670888i | 0.0218250 | − | 0.0390606i | ||||
\(296\) | 5.41627 | 0.314815 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | − | 9.78772i | − | 0.566988i | ||||||
\(299\) | 4.40641 | − | 13.5615i | 0.254829 | − | 0.784283i | ||||
\(300\) | 1.71409 | + | 7.07884i | 0.0989633 | + | 0.408697i | ||||
\(301\) | 15.2682 | + | 11.0930i | 0.880043 | + | 0.639389i | ||||
\(302\) | −20.1073 | + | 6.53324i | −1.15704 | + | 0.375946i | ||||
\(303\) | 18.5876 | − | 6.03949i | 1.06783 | − | 0.346960i | ||||
\(304\) | 21.0913 | + | 15.3237i | 1.20967 | + | 0.878877i | ||||
\(305\) | 3.51833 | − | 1.62614i | 0.201459 | − | 0.0931123i | ||||
\(306\) | −1.02344 | + | 3.14983i | −0.0585064 | + | 0.180064i | ||||
\(307\) | − | 6.86951i | − | 0.392064i | −0.980598 | − | 0.196032i | \(-0.937194\pi\) | ||
0.980598 | − | 0.196032i | \(-0.0628056\pi\) | |||||||
\(308\) | 0 | 0 | ||||||||
\(309\) | 20.2241 | 1.15051 | ||||||||
\(310\) | −2.21843 | − | 1.23954i | −0.125998 | − | 0.0704011i | ||||
\(311\) | 4.45087 | − | 3.23374i | 0.252385 | − | 0.183369i | −0.454398 | − | 0.890799i | \(-0.650146\pi\) |
0.706783 | + | 0.707430i | \(0.250146\pi\) | |||||||
\(312\) | −8.96982 | + | 12.3459i | −0.507816 | + | 0.698949i | ||||
\(313\) | −13.5354 | + | 4.39793i | −0.765068 | + | 0.248586i | −0.665452 | − | 0.746440i | \(-0.731761\pi\) |
−0.0996156 | + | 0.995026i | \(0.531761\pi\) | |||||||
\(314\) | 7.33639 | + | 22.5791i | 0.414016 | + | 1.27421i | ||||
\(315\) | −3.31103 | + | 3.06668i | −0.186555 | + | 0.172788i | ||||
\(316\) | −4.31714 | + | 3.13659i | −0.242858 | + | 0.176447i | ||||
\(317\) | −17.7718 | − | 5.77442i | −0.998166 | − | 0.324324i | −0.236033 | − | 0.971745i | \(-0.575847\pi\) |
−0.762132 | + | 0.647421i | \(0.775847\pi\) | |||||||
\(318\) | − | 41.3547i | − | 2.31906i | ||||||
\(319\) | 0 | 0 | ||||||||
\(320\) | −7.18237 | − | 1.42138i | −0.401506 | − | 0.0794575i | ||||
\(321\) | 6.13099 | − | 18.8693i | 0.342199 | − | 1.05318i | ||||
\(322\) | −8.40774 | − | 11.5723i | −0.468545 | − | 0.644897i | ||||
\(323\) | 6.91303 | − | 9.51497i | 0.384651 | − | 0.529427i | ||||
\(324\) | 2.48225 | + | 7.63957i | 0.137903 | + | 0.424420i | ||||
\(325\) | 18.4446 | + | 1.41541i | 1.02312 | + | 0.0785130i | ||||
\(326\) | −4.85526 | − | 3.52755i | −0.268908 | − | 0.195373i | ||||
\(327\) | 10.2166 | + | 14.0620i | 0.564981 | + | 0.777629i | ||||
\(328\) | 15.7248 | + | 5.10930i | 0.868257 | + | 0.282114i | ||||
\(329\) | 26.9464 | 1.48560 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 0.468249 | 0.0257373 | 0.0128686 | − | 0.999917i | \(-0.495904\pi\) | ||||
0.0128686 | + | 0.999917i | \(0.495904\pi\) | |||||||
\(332\) | −2.23205 | − | 0.725237i | −0.122500 | − | 0.0398025i | ||||
\(333\) | 1.37148 | + | 1.88767i | 0.0751564 | + | 0.103444i | ||||
\(334\) | −5.11433 | − | 3.71578i | −0.279844 | − | 0.203318i | ||||
\(335\) | −1.44423 | + | 0.172364i | −0.0789065 | + | 0.00941726i | ||||
\(336\) | 6.74988 | + | 20.7740i | 0.368236 | + | 1.13331i | ||||
\(337\) | 20.0360 | − | 27.5771i | 1.09143 | − | 1.50222i | 0.245146 | − | 0.969486i | \(-0.421164\pi\) |
0.846282 | − | 0.532735i | \(-0.178836\pi\) | |||||||
\(338\) | −0.669303 | − | 0.921216i | −0.0364053 | − | 0.0501075i | ||||
\(339\) | 0.141181 | − | 0.434511i | 0.00766790 | − | 0.0235994i | ||||
\(340\) | 0.712333 | − | 3.59949i | 0.0386317 | − | 0.195210i | ||||
\(341\) | 0 | 0 | ||||||||
\(342\) | 7.87090i | 0.425610i | ||||||||
\(343\) | 19.1327 | + | 6.21658i | 1.03307 | + | 0.335664i | ||||
\(344\) | −14.2172 | + | 10.3294i | −0.766542 | + | 0.556925i | ||||
\(345\) | 11.5647 | + | 12.4862i | 0.622623 | + | 0.672233i | ||||
\(346\) | 1.07737 | + | 3.31580i | 0.0579198 | + | 0.178259i | ||||
\(347\) | −3.41707 | + | 1.11027i | −0.183438 | + | 0.0596026i | −0.399296 | − | 0.916822i | \(-0.630745\pi\) |
0.215858 | + | 0.976425i | \(0.430745\pi\) | |||||||
\(348\) | −0.161345 | + | 0.222072i | −0.00864898 | + | 0.0119043i | ||||
\(349\) | 5.15433 | − | 3.74484i | 0.275905 | − | 0.200457i | −0.441224 | − | 0.897397i | \(-0.645456\pi\) |
0.717129 | + | 0.696940i | \(0.245456\pi\) | |||||||
\(350\) | 12.0241 | − | 14.1341i | 0.642714 | − | 0.755502i | ||||
\(351\) | 15.3446 | 0.819037 | ||||||||
\(352\) | 0 | 0 | ||||||||
\(353\) | − | 12.1971i | − | 0.649186i | −0.945854 | − | 0.324593i | \(-0.894773\pi\) | ||
0.945854 | − | 0.324593i | \(-0.105227\pi\) | |||||||
\(354\) | 0.347021 | − | 1.06802i | 0.0184440 | − | 0.0567647i | ||||
\(355\) | −9.43350 | + | 4.36007i | −0.500678 | + | 0.231408i | ||||
\(356\) | −5.92106 | − | 4.30190i | −0.313815 | − | 0.228000i | ||||
\(357\) | 9.37181 | − | 3.04509i | 0.496009 | − | 0.161163i | ||||
\(358\) | −7.90573 | + | 2.56873i | −0.417831 | + | 0.135761i | ||||
\(359\) | −19.5093 | − | 14.1744i | −1.02966 | − | 0.748094i | −0.0614222 | − | 0.998112i | \(-0.519564\pi\) |
−0.968241 | + | 0.250018i | \(0.919564\pi\) | |||||||
\(360\) | −1.76309 | − | 3.81465i | −0.0929232 | − | 0.201050i | ||||
\(361\) | 2.76592 | − | 8.51262i | 0.145575 | − | 0.448032i | ||||
\(362\) | 25.8902i | 1.36076i | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −6.12155 | −0.320856 | ||||||||
\(365\) | −17.2918 | − | 9.66174i | −0.905096 | − | 0.505719i | ||||
\(366\) | 4.58205 | − | 3.32905i | 0.239507 | − | 0.174012i | ||||
\(367\) | 11.9849 | − | 16.4958i | 0.625606 | − | 0.861073i | −0.372140 | − | 0.928177i | \(-0.621376\pi\) |
0.997746 | + | 0.0671034i | \(0.0213757\pi\) | |||||||
\(368\) | 18.0753 | − | 5.87302i | 0.942239 | − | 0.306152i | ||||
\(369\) | 2.20105 | + | 6.77414i | 0.114582 | + | 0.352648i | ||||
\(370\) | −6.51933 | − | 7.03878i | −0.338924 | − | 0.365929i | ||||
\(371\) | −22.9677 | + | 16.6870i | −1.19242 | + | 0.866347i | ||||
\(372\) | −0.951577 | − | 0.309186i | −0.0493370 | − | 0.0160305i | ||||
\(373\) | − | 7.51997i | − | 0.389369i | −0.980866 | − | 0.194685i | \(-0.937632\pi\) | ||
0.980866 | − | 0.194685i | \(-0.0623684\pi\) | |||||||
\(374\) | 0 | 0 | ||||||||
\(375\) | −12.2125 | + | 18.3937i | −0.630653 | + | 0.949845i | ||||
\(376\) | −7.75374 | + | 23.8636i | −0.399869 | + | 1.23067i | ||||
\(377\) | 0.409791 | + | 0.564029i | 0.0211053 | + | 0.0290490i | ||||
\(378\) | 9.04762 | − | 12.4530i | 0.465359 | − | 0.640512i | ||||
\(379\) | −7.16649 | − | 22.0562i | −0.368118 | − | 1.13295i | −0.948006 | − | 0.318254i | \(-0.896904\pi\) |
0.579888 | − | 0.814696i | \(-0.303096\pi\) | |||||||
\(380\) | −1.03340 | − | 8.65874i | −0.0530121 | − | 0.444184i | ||||
\(381\) | 3.88281 | + | 2.82103i | 0.198922 | + | 0.144526i | ||||
\(382\) | 3.03029 | + | 4.17083i | 0.155043 | + | 0.213398i | ||||
\(383\) | 2.32095 | + | 0.754123i | 0.118595 | + | 0.0385339i | 0.367713 | − | 0.929939i | \(-0.380141\pi\) |
−0.249118 | + | 0.968473i | \(0.580141\pi\) | |||||||
\(384\) | −26.4246 | −1.34848 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −15.9442 | −0.811537 | ||||||||
\(387\) | −7.20000 | − | 2.33942i | −0.365997 | − | 0.118919i | ||||
\(388\) | 0.983393 | + | 1.35352i | 0.0499242 | + | 0.0687148i | ||||
\(389\) | 27.4849 | + | 19.9689i | 1.39354 | + | 1.01246i | 0.995467 | + | 0.0951096i | \(0.0303201\pi\) |
0.398071 | + | 0.917355i | \(0.369680\pi\) | |||||||
\(390\) | 26.8408 | − | 3.20337i | 1.35914 | − | 0.162209i | ||||
\(391\) | −2.64950 | − | 8.15434i | −0.133991 | − | 0.412383i | ||||
\(392\) | −2.41686 | + | 3.32653i | −0.122070 | + | 0.168015i | ||||
\(393\) | 1.84381 | + | 2.53779i | 0.0930080 | + | 0.128015i | ||||
\(394\) | −7.36129 | + | 22.6557i | −0.370856 | + | 1.14138i | ||||
\(395\) | −15.8685 | − | 3.14036i | −0.798433 | − | 0.158009i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 27.4961i | 1.37999i | 0.723814 | + | 0.689995i | \(0.242387\pi\) | ||||
−0.723814 | + | 0.689995i | \(0.757613\pi\) | |||||||
\(398\) | 23.2858 | + | 7.56601i | 1.16721 | + | 0.379250i | ||||
\(399\) | 18.9460 | − | 13.7651i | 0.948487 | − | 0.689116i | ||||
\(400\) | 12.9236 | + | 20.9974i | 0.646182 | + | 1.04987i | ||||
\(401\) | −0.583247 | − | 1.79505i | −0.0291259 | − | 0.0896404i | 0.935437 | − | 0.353494i | \(-0.115006\pi\) |
−0.964563 | + | 0.263853i | \(0.915006\pi\) | |||||||
\(402\) | −2.02132 | + | 0.656768i | −0.100815 | + | 0.0327566i | ||||
\(403\) | −1.49370 | + | 2.05591i | −0.0744067 | + | 0.102412i | ||||
\(404\) | −5.90608 | + | 4.29102i | −0.293839 | + | 0.213486i | ||||
\(405\) | −11.8773 | + | 21.2571i | −0.590188 | + | 1.05627i | ||||
\(406\) | 0.699363 | 0.0347088 | ||||||||
\(407\) | 0 | 0 | ||||||||
\(408\) | 9.17582i | 0.454271i | ||||||||
\(409\) | 4.18949 | − | 12.8939i | 0.207157 | − | 0.637563i | −0.792461 | − | 0.609923i | \(-0.791201\pi\) |
0.999618 | − | 0.0276408i | \(-0.00879945\pi\) | |||||||
\(410\) | −12.2874 | − | 26.5852i | −0.606831 | − | 1.31295i | ||||
\(411\) | −29.8788 | − | 21.7082i | −1.47381 | − | 1.07079i | ||||
\(412\) | −7.18454 | + | 2.33440i | −0.353957 | + | 0.115008i | ||||
\(413\) | −0.733187 | + | 0.238227i | −0.0360778 | + | 0.0117224i | ||||
\(414\) | 4.64210 | + | 3.37269i | 0.228147 | + | 0.165758i | ||||
\(415\) | −2.98481 | − | 6.45798i | −0.146519 | − | 0.317010i | ||||
\(416\) | 4.55219 | − | 14.0102i | 0.223189 | − | 0.686906i | ||||
\(417\) | 22.9616i | 1.12444i | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | 22.1368 | 1.08145 | 0.540727 | − | 0.841198i | \(-0.318149\pi\) | ||||
0.540727 | + | 0.841198i | \(0.318149\pi\) | |||||||
\(420\) | 3.56376 | − | 6.37814i | 0.173894 | − | 0.311221i | ||||
\(421\) | −14.4835 | + | 10.5229i | −0.705881 | + | 0.512853i | −0.881842 | − | 0.471544i | \(-0.843697\pi\) |
0.175961 | + | 0.984397i | \(0.443697\pi\) | |||||||
\(422\) | −6.58552 | + | 9.06419i | −0.320578 | + | 0.441238i | ||||
\(423\) | −10.2803 | + | 3.34026i | −0.499843 | + | 0.162409i | ||||
\(424\) | −8.16902 | − | 25.1417i | −0.396723 | − | 1.22099i | ||||
\(425\) | 9.47259 | − | 5.83026i | 0.459488 | − | 0.282809i | ||||
\(426\) | −12.2856 | + | 8.92599i | −0.595238 | + | 0.432466i | ||||
\(427\) | −3.69780 | − | 1.20149i | −0.178949 | − | 0.0581440i | ||||
\(428\) | 7.41093i | 0.358221i | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 30.5364 | + | 6.04310i | 1.47259 | + | 0.291424i | ||||
\(431\) | −10.3353 | + | 31.8087i | −0.497833 | + | 1.53217i | 0.314662 | + | 0.949204i | \(0.398109\pi\) |
−0.812495 | + | 0.582968i | \(0.801891\pi\) | |||||||
\(432\) | 12.0213 | + | 16.5459i | 0.578376 | + | 0.796066i | ||||
\(433\) | 18.5102 | − | 25.4771i | 0.889543 | − | 1.22435i | −0.0841428 | − | 0.996454i | \(-0.526815\pi\) |
0.973685 | − | 0.227897i | \(-0.0731848\pi\) | |||||||
\(434\) | 0.787747 | + | 2.42443i | 0.0378130 | + | 0.116377i | ||||
\(435\) | −0.826238 | + | 0.0986091i | −0.0396151 | + | 0.00472794i | ||||
\(436\) | −5.25255 | − | 3.81620i | −0.251552 | − | 0.182763i | ||||
\(437\) | −11.9769 | − | 16.4848i | −0.572932 | − | 0.788574i | ||||
\(438\) | −27.5277 | − | 8.94431i | −1.31533 | − | 0.427375i | ||||
\(439\) | 35.6208 | 1.70009 | 0.850045 | − | 0.526710i | \(-0.176575\pi\) | ||||
0.850045 | + | 0.526710i | \(0.176575\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | −1.77134 | −0.0843495 | ||||||||
\(442\) | −12.9515 | − | 4.20821i | −0.616041 | − | 0.200164i | ||||
\(443\) | −13.8056 | − | 19.0018i | −0.655926 | − | 0.902805i | 0.343412 | − | 0.939185i | \(-0.388417\pi\) |
−0.999338 | + | 0.0363802i | \(0.988417\pi\) | |||||||
\(444\) | −3.05599 | − | 2.22031i | −0.145031 | − | 0.105371i | ||||
\(445\) | −2.62920 | − | 22.0298i | −0.124636 | − | 1.04431i | ||||
\(446\) | −4.45709 | − | 13.7175i | −0.211049 | − | 0.649543i | ||||
\(447\) | 6.86646 | − | 9.45086i | 0.324772 | − | 0.447011i | ||||
\(448\) | 4.31705 | + | 5.94191i | 0.203961 | + | 0.280729i | ||||
\(449\) | 9.70066 | − | 29.8555i | 0.457802 | − | 1.40897i | −0.410011 | − | 0.912080i | \(-0.634475\pi\) |
0.867814 | − | 0.496890i | \(-0.165525\pi\) | |||||||
\(450\) | −2.83522 | + | 6.88277i | −0.133653 | + | 0.324457i | ||||
\(451\) | 0 | 0 | ||||||||
\(452\) | 0.170655i | 0.00802692i | ||||||||
\(453\) | −23.9985 | − | 7.79760i | −1.12755 | − | 0.366363i | ||||
\(454\) | −5.09658 | + | 3.70288i | −0.239194 | + | 0.173785i | ||||
\(455\) | −12.6096 | − | 13.6143i | −0.591148 | − | 0.638250i | ||||
\(456\) | 6.73861 | + | 20.7393i | 0.315564 | + | 0.971207i | ||||
\(457\) | −37.1964 | + | 12.0859i | −1.73998 | + | 0.565352i | −0.994830 | − | 0.101550i | \(-0.967620\pi\) |
−0.745145 | + | 0.666903i | \(0.767620\pi\) | |||||||
\(458\) | −2.63915 | + | 3.63247i | −0.123319 | + | 0.169734i | ||||
\(459\) | 7.46440 | − | 5.42320i | 0.348408 | − | 0.253133i | ||||
\(460\) | −5.54957 | − | 3.10080i | −0.258750 | − | 0.144575i | ||||
\(461\) | 8.88399 | 0.413769 | 0.206884 | − | 0.978365i | \(-0.433668\pi\) | ||||
0.206884 | + | 0.978365i | \(0.433668\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 4.21081i | 0.195693i | 0.995202 | + | 0.0978464i | \(0.0311954\pi\) | ||||
−0.995202 | + | 0.0978464i | \(0.968805\pi\) | |||||||
\(464\) | −0.287146 | + | 0.883744i | −0.0133304 | + | 0.0410268i | ||||
\(465\) | −1.27250 | − | 2.75319i | −0.0590107 | − | 0.127676i | ||||
\(466\) | −14.0696 | − | 10.2221i | −0.651760 | − | 0.473531i | ||||
\(467\) | −6.39912 | + | 2.07920i | −0.296116 | + | 0.0962139i | −0.453307 | − | 0.891354i | \(-0.649756\pi\) |
0.157191 | + | 0.987568i | \(0.449756\pi\) | |||||||
\(468\) | 2.33542 | − | 0.758822i | 0.107955 | − | 0.0350766i | ||||
\(469\) | 1.18038 | + | 0.857597i | 0.0545049 | + | 0.0396002i | ||||
\(470\) | 40.3450 | − | 18.6470i | 1.86098 | − | 0.860124i | ||||
\(471\) | −8.75618 | + | 26.9487i | −0.403463 | + | 1.24173i | ||||
\(472\) | − | 0.717854i | − | 0.0330419i | ||||||
\(473\) | 0 | 0 | ||||||||
\(474\) | −23.6376 | −1.08571 | ||||||||
\(475\) | 17.1284 | − | 20.1342i | 0.785905 | − | 0.923820i | ||||
\(476\) | −2.97782 | + | 2.16352i | −0.136488 | + | 0.0991646i | ||||
\(477\) | 6.69383 | − | 9.21327i | 0.306490 | − | 0.421847i | ||||
\(478\) | 31.5343 | − | 10.2461i | 1.44235 | − | 0.468647i | ||||
\(479\) | 6.43046 | + | 19.7909i | 0.293815 | + | 0.904270i | 0.983617 | + | 0.180272i | \(0.0576977\pi\) |
−0.689802 | + | 0.723998i | \(0.742302\pi\) | |||||||
\(480\) | 11.9473 | + | 12.8993i | 0.545318 | + | 0.588768i | ||||
\(481\) | −7.76176 | + | 5.63925i | −0.353906 | + | 0.257128i | ||||
\(482\) | 44.7611 | + | 14.5437i | 2.03881 | + | 0.662450i | ||||
\(483\) | − | 17.0723i | − | 0.776818i | ||||||
\(484\) | 0 | 0 | ||||||||
\(485\) | −0.984576 | + | 4.97516i | −0.0447073 | + | 0.225910i | ||||
\(486\) | −4.63361 | + | 14.2608i | −0.210185 | + | 0.646882i | ||||
\(487\) | −9.27489 | − | 12.7658i | −0.420285 | − | 0.578473i | 0.545404 | − | 0.838173i | \(-0.316376\pi\) |
−0.965689 | + | 0.259700i | \(0.916376\pi\) | |||||||
\(488\) | 2.12806 | − | 2.92902i | 0.0963326 | − | 0.132590i | ||||
\(489\) | −2.21345 | − | 6.81230i | −0.100096 | − | 0.308063i | ||||
\(490\) | 7.23209 | − | 0.863129i | 0.326713 | − | 0.0389922i | ||||
\(491\) | 15.6386 | + | 11.3621i | 0.705759 | + | 0.512764i | 0.881803 | − | 0.471618i | \(-0.156330\pi\) |
−0.176044 | + | 0.984382i | \(0.556330\pi\) | |||||||
\(492\) | −6.77784 | − | 9.32890i | −0.305569 | − | 0.420579i | ||||
\(493\) | 0.398685 | + | 0.129541i | 0.0179559 | + | 0.00583422i | ||||
\(494\) | −32.3637 | −1.45611 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −3.38705 | −0.152083 | ||||||||
\(497\) | 9.91469 | + | 3.22148i | 0.444734 | + | 0.144503i | ||||
\(498\) | −6.11055 | − | 8.41045i | −0.273820 | − | 0.376881i | ||||
\(499\) | −33.5416 | − | 24.3694i | −1.50153 | − | 1.09092i | −0.969769 | − | 0.244026i | \(-0.921532\pi\) |
−0.531758 | − | 0.846896i | \(-0.678468\pi\) | |||||||
\(500\) | 2.21535 | − | 7.94395i | 0.0990734 | − | 0.355264i | ||||
\(501\) | −2.33156 | − | 7.17579i | −0.104166 | − | 0.320591i | ||||
\(502\) | 23.1824 | − | 31.9078i | 1.03468 | − | 1.42412i | ||||
\(503\) | −19.1978 | − | 26.4236i | −0.855990 | − | 1.17817i | −0.982511 | − | 0.186205i | \(-0.940381\pi\) |
0.126521 | − | 0.991964i | \(-0.459619\pi\) | |||||||
\(504\) | −1.30268 | + | 4.00923i | −0.0580259 | + | 0.178585i | ||||
\(505\) | −21.7090 | − | 4.29618i | −0.966039 | − | 0.191178i | ||||
\(506\) | 0 | 0 | ||||||||
\(507\) | − | 1.35905i | − | 0.0603576i | ||||||
\(508\) | −1.70498 | − | 0.553981i | −0.0756462 | − | 0.0245789i | ||||
\(509\) | 13.4662 | − | 9.78379i | 0.596881 | − | 0.433659i | −0.247890 | − | 0.968788i | \(-0.579737\pi\) |
0.844770 | + | 0.535129i | \(0.179737\pi\) | |||||||
\(510\) | 11.9245 | − | 11.0445i | 0.528028 | − | 0.489060i | ||||
\(511\) | 6.14019 | + | 18.8975i | 0.271626 | + | 0.835978i | ||||
\(512\) | −0.917749 | + | 0.298195i | −0.0405592 | + | 0.0131785i | ||||
\(513\) | 12.8884 | − | 17.7393i | 0.569036 | − | 0.783211i | ||||
\(514\) | 33.0313 | − | 23.9987i | 1.45695 | − | 1.05854i | ||||
\(515\) | −19.9909 | − | 11.1699i | −0.880906 | − | 0.492203i | ||||
\(516\) | 12.2561 | 0.539543 | ||||||||
\(517\) | 0 | 0 | ||||||||
\(518\) | 9.62412i | 0.422860i | ||||||||
\(519\) | −1.28587 | + | 3.95750i | −0.0564434 | + | 0.173715i | ||||
\(520\) | 15.6851 | − | 7.24951i | 0.687839 | − | 0.317912i | ||||
\(521\) | −11.3717 | − | 8.26206i | −0.498205 | − | 0.361967i | 0.310126 | − | 0.950696i | \(-0.399629\pi\) |
−0.808331 | + | 0.588728i | \(0.799629\pi\) | |||||||
\(522\) | −0.266812 | + | 0.0866924i | −0.0116780 | + | 0.00379442i | ||||
\(523\) | −14.9009 | + | 4.84159i | −0.651570 | + | 0.211708i | −0.616106 | − | 0.787663i | \(-0.711291\pi\) |
−0.0354635 | + | 0.999371i | \(0.511291\pi\) | |||||||
\(524\) | −0.947937 | − | 0.688717i | −0.0414108 | − | 0.0300867i | ||||
\(525\) | 21.5259 | − | 5.21235i | 0.939467 | − | 0.227486i | ||||
\(526\) | −2.78194 | + | 8.56194i | −0.121298 | + | 0.373318i | ||||
\(527\) | 1.52801i | 0.0665611i | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 8.14550 | 0.354152 | ||||||||
\(530\) | −22.8404 | + | 40.8780i | −0.992125 | + | 1.77563i | ||||
\(531\) | 0.250186 | − | 0.181770i | 0.0108571 | − | 0.00788817i | ||||
\(532\) | −5.14166 | + | 7.07689i | −0.222919 | + | 0.306822i | ||||
\(533\) | −27.8540 | + | 9.05031i | −1.20649 | + | 0.392012i | ||||
\(534\) | −10.0182 | − | 30.8327i | −0.433528 | − | 1.33426i | ||||
\(535\) | −16.4819 | + | 15.2656i | −0.712575 | + | 0.659988i | ||||
\(536\) | −1.09913 | + | 0.798567i | −0.0474753 | + | 0.0344928i | ||||
\(537\) | −9.43570 | − | 3.06584i | −0.407180 | − | 0.132301i | ||||
\(538\) | − | 11.0949i | − | 0.478336i | ||||||
\(539\) | 0 | 0 | ||||||||
\(540\) | 1.32805 | − | 6.71075i | 0.0571501 | − | 0.288785i | ||||
\(541\) | 12.2489 | − | 37.6983i | 0.526623 | − | 1.62078i | −0.234461 | − | 0.972125i | \(-0.575333\pi\) |
0.761084 | − | 0.648653i | \(-0.224667\pi\) | |||||||
\(542\) | 4.92088 | + | 6.77301i | 0.211370 | + | 0.290926i | ||||
\(543\) | −18.1630 | + | 24.9992i | −0.779448 | + | 1.07282i | ||||
\(544\) | −2.73716 | − | 8.42412i | −0.117355 | − | 0.361181i | ||||
\(545\) | −2.33235 | − | 19.5426i | −0.0999070 | − | 0.837113i | ||||
\(546\) | −21.9373 | − | 15.9384i | −0.938830 | − | 0.682100i | ||||
\(547\) | 24.1970 | + | 33.3043i | 1.03459 | + | 1.42399i | 0.901445 | + | 0.432895i | \(0.142508\pi\) |
0.133145 | + | 0.991097i | \(0.457492\pi\) | |||||||
\(548\) | 13.1201 | + | 4.26297i | 0.560462 | + | 0.182105i | ||||
\(549\) | 1.55967 | 0.0665651 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 0.996247 | 0.0424415 | ||||||||
\(552\) | 15.1191 | + | 4.91251i | 0.643513 | + | 0.209090i | ||||
\(553\) | 9.53798 | + | 13.1279i | 0.405596 | + | 0.558255i | ||||
\(554\) | 14.3144 | + | 10.4000i | 0.608161 | + | 0.441855i | ||||
\(555\) | −1.35699 | − | 11.3701i | −0.0576009 | − | 0.482633i | ||||
\(556\) | −2.65039 | − | 8.15705i | −0.112401 | − | 0.345936i | ||||
\(557\) | −17.5606 | + | 24.1702i | −0.744069 | + | 1.02412i | 0.254306 | + | 0.967124i | \(0.418153\pi\) |
−0.998374 | + | 0.0569987i | \(0.981847\pi\) | |||||||
\(558\) | −0.601062 | − | 0.827291i | −0.0254450 | − | 0.0350220i | ||||
\(559\) | 9.61926 | − | 29.6050i | 0.406851 | − | 1.25216i | ||||
\(560\) | 4.80152 | − | 24.2625i | 0.202901 | − | 1.02528i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | − | 22.7004i | − | 0.957558i | ||||||
\(563\) | 2.05218 | + | 0.666795i | 0.0864892 | + | 0.0281021i | 0.351942 | − | 0.936022i | \(-0.385521\pi\) |
−0.265453 | + | 0.964124i | \(0.585521\pi\) | |||||||
\(564\) | 14.1573 | − | 10.2859i | 0.596130 | − | 0.433114i | ||||
\(565\) | −0.379536 | + | 0.351527i | −0.0159672 | + | 0.0147889i | ||||
\(566\) | 11.2328 | + | 34.5709i | 0.472148 | + | 1.45312i | ||||
\(567\) | 23.2310 | − | 7.54820i | 0.975610 | − | 0.316995i | ||||
\(568\) | −5.70583 | + | 7.85341i | −0.239411 | + | 0.329522i | ||||
\(569\) | −0.580298 | + | 0.421611i | −0.0243274 | + | 0.0176749i | −0.599882 | − | 0.800088i | \(-0.704786\pi\) |
0.575555 | + | 0.817763i | \(0.304786\pi\) | |||||||
\(570\) | 18.8410 | − | 33.7202i | 0.789164 | − | 1.41238i | ||||
\(571\) | 21.6311 | 0.905235 | 0.452617 | − | 0.891705i | \(-0.350490\pi\) | ||||
0.452617 | + | 0.891705i | \(0.350490\pi\) | |||||||
\(572\) | 0 | 0 | ||||||||
\(573\) | 6.15315i | 0.257051i | ||||||||
\(574\) | −9.07866 | + | 27.9413i | −0.378936 | + | 1.16625i | ||||
\(575\) | −4.53522 | − | 18.7295i | −0.189132 | − | 0.781074i | ||||
\(576\) | −2.38354 | − | 1.73174i | −0.0993141 | − | 0.0721559i | ||||
\(577\) | −22.2810 | + | 7.23952i | −0.927568 | + | 0.301385i | −0.733568 | − | 0.679616i | \(-0.762146\pi\) |
−0.194000 | + | 0.981001i | \(0.562146\pi\) | |||||||
\(578\) | 18.9637 | − | 6.16167i | 0.788784 | − | 0.256291i | ||||
\(579\) | −15.3954 | − | 11.1854i | −0.639812 | − | 0.464851i | ||||
\(580\) | 0.282136 | − | 0.130401i | 0.0117151 | − | 0.00541459i | ||||
\(581\) | −2.20536 | + | 6.78739i | −0.0914936 | + | 0.281588i | ||||
\(582\) | 7.41093i | 0.307193i | ||||||||
\(583\) | 0 | 0 | ||||||||
\(584\) | −18.5023 | −0.765633 | ||||||||
\(585\) | 6.49828 | + | 3.63089i | 0.268671 | + | 0.150119i | ||||
\(586\) | 18.7911 | − | 13.6525i | 0.776253 | − | 0.563981i | ||||
\(587\) | −1.32095 | + | 1.81814i | −0.0545216 | + | 0.0750425i | −0.835407 | − | 0.549632i | \(-0.814768\pi\) |
0.780886 | + | 0.624674i | \(0.214768\pi\) | |||||||
\(588\) | 2.72730 | − | 0.886154i | 0.112472 | − | 0.0365444i | ||||
\(589\) | 1.12215 | + | 3.45362i | 0.0462374 | + | 0.142304i | ||||
\(590\) | −0.932895 | + | 0.864048i | −0.0384067 | + | 0.0355723i | ||||
\(591\) | −23.0018 | + | 16.7118i | −0.946167 | + | 0.687431i | ||||
\(592\) | −12.1615 | − | 3.95149i | −0.499833 | − | 0.162405i | ||||
\(593\) | 25.4034i | 1.04319i | 0.853193 | + | 0.521596i | \(0.174663\pi\) | ||||
−0.853193 | + | 0.521596i | \(0.825337\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −10.9456 | − | 2.16612i | −0.448726 | − | 0.0888022i | ||||
\(596\) | −1.34841 | + | 4.14996i | −0.0552328 | + | 0.169989i | ||||
\(597\) | 17.1765 | + | 23.6415i | 0.702988 | + | 0.967580i | ||||
\(598\) | −13.8678 | + | 19.0875i | −0.567098 | + | 0.780544i | ||||
\(599\) | 5.63194 | + | 17.3333i | 0.230115 | + | 0.708220i | 0.997732 | + | 0.0673118i | \(0.0214422\pi\) |
−0.767617 | + | 0.640909i | \(0.778558\pi\) | |||||||
\(600\) | −1.57798 | + | 20.5630i | −0.0644208 | + | 0.839482i | ||||
\(601\) | −28.0242 | − | 20.3608i | −1.14313 | − | 0.830533i | −0.155579 | − | 0.987824i | \(-0.549724\pi\) |
−0.987552 | + | 0.157290i | \(0.949724\pi\) | |||||||
\(602\) | −18.3542 | − | 25.2625i | −0.748063 | − | 1.02962i | ||||
\(603\) | −0.556631 | − | 0.180860i | −0.0226678 | − | 0.00736520i | ||||
\(604\) | 9.42547 | 0.383517 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −32.3375 | −1.31362 | ||||||||
\(607\) | −24.2027 | − | 7.86394i | −0.982358 | − | 0.319187i | −0.226564 | − | 0.973996i | \(-0.572749\pi\) |
−0.755794 | + | 0.654809i | \(0.772749\pi\) | |||||||
\(608\) | −12.3731 | − | 17.0302i | −0.501797 | − | 0.690664i | ||||
\(609\) | 0.675293 | + | 0.490629i | 0.0273643 | + | 0.0198813i | ||||
\(610\) | −6.36788 | + | 0.759989i | −0.257828 | + | 0.0307710i | ||||
\(611\) | −13.7345 | − | 42.2705i | −0.555639 | − | 1.71008i | ||||
\(612\) | 0.867874 | − | 1.19453i | 0.0350817 | − | 0.0482858i | ||||
\(613\) | 21.7843 | + | 29.9835i | 0.879859 | + | 1.21102i | 0.976460 | + | 0.215698i | \(0.0692027\pi\) |
−0.0966016 | + | 0.995323i | \(0.530797\pi\) | |||||||
\(614\) | −3.51234 | + | 10.8099i | −0.141746 | + | 0.436251i | ||||
\(615\) | 6.78600 | − | 34.2903i | 0.273638 | − | 1.38272i | ||||
\(616\) | 0 | 0 | ||||||||
\(617\) | − | 27.5937i | − | 1.11088i | −0.831557 | − | 0.555439i | \(-0.812550\pi\) | ||
0.831557 | − | 0.555439i | \(-0.187450\pi\) | |||||||
\(618\) | −31.8246 | − | 10.3404i | −1.28017 | − | 0.415953i | ||||
\(619\) | 16.5391 | − | 12.0164i | 0.664764 | − | 0.482979i | −0.203504 | − | 0.979074i | \(-0.565233\pi\) |
0.868268 | + | 0.496095i | \(0.165233\pi\) | |||||||
\(620\) | 0.769843 | + | 0.831183i | 0.0309176 | + | 0.0333811i | ||||
\(621\) | −4.93964 | − | 15.2026i | −0.198221 | − | 0.610061i | ||||
\(622\) | −8.65728 | + | 2.81292i | −0.347125 | + | 0.112788i | ||||
\(623\) | −13.0816 | + | 18.0052i | −0.524101 | + | 0.721364i | ||||
\(624\) | 29.1475 | − | 21.1769i | 1.16683 | − | 0.847754i | ||||
\(625\) | 22.2307 | − | 11.4366i | 0.889228 | − | 0.457464i | ||||
\(626\) | 23.5480 | 0.941167 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | − | 10.5842i | − | 0.422354i | ||||||
\(629\) | −1.78265 | + | 5.48642i | −0.0710787 | + | 0.218758i | ||||
\(630\) | 6.77822 | − | 3.13282i | 0.270051 | − | 0.124815i | ||||
\(631\) | −0.614155 | − | 0.446210i | −0.0244491 | − | 0.0177633i | 0.575494 | − | 0.817806i | \(-0.304810\pi\) |
−0.599943 | + | 0.800043i | \(0.704810\pi\) | |||||||
\(632\) | −14.3705 | + | 4.66926i | −0.571627 | + | 0.185733i | ||||
\(633\) | −12.7177 | + | 4.13224i | −0.505485 | + | 0.164242i | ||||
\(634\) | 25.0133 | + | 18.1733i | 0.993407 | + | 0.721752i | ||||
\(635\) | −2.27998 | − | 4.93301i | −0.0904784 | − | 0.195760i | ||||
\(636\) | −5.69723 | + | 17.5343i | −0.225910 | + | 0.695279i | ||||
\(637\) | − | 7.28342i | − | 0.288579i | ||||||
\(638\) | 0 | 0 | ||||||||
\(639\) | −4.18186 | −0.165432 | ||||||||
\(640\) | 26.1201 | + | 14.5945i | 1.03249 | + | 0.576897i | ||||
\(641\) | 12.0584 | − | 8.76094i | 0.476278 | − | 0.346037i | −0.323605 | − | 0.946192i | \(-0.604895\pi\) |
0.799883 | + | 0.600156i | \(0.204895\pi\) | |||||||
\(642\) | −19.2955 | + | 26.5579i | −0.761531 | + | 1.04816i | ||||
\(643\) | 26.2820 | − | 8.53955i | 1.03646 | − | 0.336767i | 0.259120 | − | 0.965845i | \(-0.416568\pi\) |
0.777342 | + | 0.629078i | \(0.216568\pi\) | |||||||
\(644\) | 1.97060 | + | 6.06490i | 0.0776527 | + | 0.238990i | ||||
\(645\) | 25.2460 | + | 27.2575i | 0.994059 | + | 1.07326i | ||||
\(646\) | −15.7433 | + | 11.4382i | −0.619411 | + | 0.450029i | ||||
\(647\) | 23.7560 | + | 7.71879i | 0.933945 | + | 0.303457i | 0.736175 | − | 0.676791i | \(-0.236630\pi\) |
0.197770 | + | 0.980248i | \(0.436630\pi\) | |||||||
\(648\) | 22.7452i | 0.893514i | ||||||||
\(649\) | 0 | 0 | ||||||||
\(650\) | −28.3007 | − | 11.6579i | −1.11004 | − | 0.457260i | ||||
\(651\) | −0.940197 | + | 2.89363i | −0.0368492 | + | 0.113410i | ||||
\(652\) | 1.57264 | + | 2.16456i | 0.0615895 | + | 0.0847706i | ||||
\(653\) | −16.3187 | + | 22.4607i | −0.638599 | + | 0.878956i | −0.998540 | − | 0.0540191i | \(-0.982797\pi\) |
0.359941 | + | 0.932975i | \(0.382797\pi\) | |||||||
\(654\) | −8.88708 | − | 27.3516i | −0.347513 | − | 1.06953i | ||||
\(655\) | −0.420923 | − | 3.52688i | −0.0164468 | − | 0.137807i | ||||
\(656\) | −31.5802 | − | 22.9444i | −1.23300 | − | 0.895827i | ||||
\(657\) | −4.68505 | − | 6.44842i | −0.182781 | − | 0.251577i | ||||
\(658\) | −42.4029 | − | 13.7775i | −1.65304 | − | 0.537105i | ||||
\(659\) | −21.5863 | −0.840883 | −0.420442 | − | 0.907320i | \(-0.638125\pi\) | ||||
−0.420442 | + | 0.907320i | \(0.638125\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −16.0174 | −0.623003 | −0.311502 | − | 0.950246i | \(-0.600832\pi\) | ||||
−0.311502 | + | 0.950246i | \(0.600832\pi\) | |||||||
\(662\) | −0.736837 | − | 0.239413i | −0.0286380 | − | 0.00930504i | ||||
\(663\) | −9.55357 | − | 13.1494i | −0.371030 | − | 0.510679i | ||||
\(664\) | −5.37628 | − | 3.90609i | −0.208640 | − | 0.151586i | ||||
\(665\) | −26.3302 | + | 3.14243i | −1.02104 | + | 0.121858i | ||||
\(666\) | −1.19300 | − | 3.67167i | −0.0462277 | − | 0.142274i | ||||
\(667\) | 0.426892 | − | 0.587567i | 0.0165293 | − | 0.0227507i | ||||
\(668\) | 1.65656 | + | 2.28005i | 0.0640941 | + | 0.0882180i | ||||
\(669\) | 5.31966 | − | 16.3722i | 0.205670 | − | 0.632986i | ||||
\(670\) | 2.36076 | + | 0.467191i | 0.0912042 | + | 0.0180492i | ||||
\(671\) | 0 | 0 | ||||||||
\(672\) | − | 17.6372i | − | 0.680368i | ||||||
\(673\) | 29.8127 | + | 9.68673i | 1.14920 | + | 0.373396i | 0.820840 | − | 0.571158i | \(-0.193506\pi\) |
0.328355 | + | 0.944554i | \(0.393506\pi\) | |||||||
\(674\) | −45.6286 | + | 33.1511i | −1.75755 | + | 1.27693i | ||||
\(675\) | 17.6603 | − | 10.8697i | 0.679747 | − | 0.418376i | ||||
\(676\) | 0.156871 | + | 0.482799i | 0.00603350 | + | 0.0185692i | ||||
\(677\) | −29.1654 | + | 9.47642i | −1.12092 | + | 0.364209i | −0.810118 | − | 0.586267i | \(-0.800597\pi\) |
−0.310801 | + | 0.950475i | \(0.600597\pi\) | |||||||
\(678\) | −0.444325 | + | 0.611561i | −0.0170642 | + | 0.0234869i | ||||
\(679\) | 4.11590 | − | 2.99038i | 0.157954 | − | 0.114760i | ||||
\(680\) | 5.06786 | − | 9.07006i | 0.194344 | − | 0.347821i | ||||
\(681\) | −7.51888 | −0.288124 | ||||||||
\(682\) | 0 | 0 | ||||||||
\(683\) | 3.27236i | 0.125213i | 0.998038 | + | 0.0626066i | \(0.0199414\pi\) | ||||
−0.998038 | + | 0.0626066i | \(0.980059\pi\) | |||||||
\(684\) | 1.08433 | − | 3.33724i | 0.0414606 | − | 0.127602i | ||||
\(685\) | 17.5448 | + | 37.9603i | 0.670354 | + | 1.45039i | ||||
\(686\) | −26.9287 | − | 19.5648i | −1.02814 | − | 0.746989i | ||||
\(687\) | −5.09664 | + | 1.65600i | −0.194449 | + | 0.0631802i | ||||
\(688\) | 39.4586 | − | 12.8209i | 1.50435 | − | 0.488792i | ||||
\(689\) | 37.8832 | + | 27.5238i | 1.44324 | + | 1.04857i | ||||
\(690\) | −11.8141 | − | 25.5612i | −0.449756 | − | 0.973099i | ||||
\(691\) | −11.2774 | + | 34.7084i | −0.429014 | + | 1.32037i | 0.470083 | + | 0.882622i | \(0.344224\pi\) |
−0.899098 | + | 0.437748i | \(0.855776\pi\) | |||||||
\(692\) | − | 1.55431i | − | 0.0590862i | ||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 5.94478 | 0.225661 | ||||||||
\(695\) | 12.6818 | − | 22.6970i | 0.481049 | − | 0.860944i | ||||
\(696\) | −0.628811 | + | 0.456858i | −0.0238350 | + | 0.0173172i | ||||
\(697\) | −10.3509 | + | 14.2468i | −0.392070 | + | 0.539638i | ||||
\(698\) | −10.0256 | + | 3.25750i | −0.379473 | + | 0.123298i | ||||
\(699\) | −6.41413 | − | 19.7407i | −0.242605 | − | 0.746660i | ||||
\(700\) | −7.04537 | + | 4.33634i | −0.266290 | + | 0.163898i | ||||
\(701\) | 37.6684 | − | 27.3677i | 1.42272 | − | 1.03366i | 0.431399 | − | 0.902161i | \(-0.358020\pi\) |
0.991316 | − | 0.131502i | \(-0.0419800\pi\) | |||||||
\(702\) | −24.1463 | − | 7.84562i | −0.911345 | − | 0.296114i | ||||
\(703\) | 13.7096i | 0.517068i | ||||||||
\(704\) | 0 | 0 | ||||||||
\(705\) | 52.0381 | + | 10.2983i | 1.95987 | + | 0.387855i | ||||
\(706\) | −6.23630 | + | 19.1933i | −0.234706 | + | 0.722351i | ||||
\(707\) | 13.0485 | + | 17.9597i | 0.490738 | + | 0.675443i | ||||
\(708\) | −0.294272 | + | 0.405030i | −0.0110594 | + | 0.0152220i | ||||
\(709\) | 11.0000 | + | 33.8544i | 0.413112 | + | 1.27143i | 0.913929 | + | 0.405874i | \(0.133033\pi\) |
−0.500817 | + | 0.865553i | \(0.666967\pi\) | |||||||
\(710\) | 17.0738 | − | 2.03771i | 0.640770 | − | 0.0764740i | ||||
\(711\) | −5.26613 | − | 3.82607i | −0.197495 | − | 0.143489i | ||||
\(712\) | −12.1811 | − | 16.7659i | −0.456507 | − | 0.628327i | ||||
\(713\) | 2.51772 | + | 0.818057i | 0.0942894 | + | 0.0306365i | ||||
\(714\) | −16.3044 | −0.610178 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 3.70588 | 0.138495 | ||||||||
\(717\) | 37.6371 | + | 12.2290i | 1.40558 | + | 0.456702i | ||||
\(718\) | 23.4526 | + | 32.2798i | 0.875245 | + | 1.20467i | ||||
\(719\) | 17.8722 | + | 12.9849i | 0.666522 | + | 0.484256i | 0.868859 | − | 0.495060i | \(-0.164854\pi\) |
−0.202337 | + | 0.979316i | \(0.564854\pi\) | |||||||
\(720\) | 1.17575 | + | 9.85153i | 0.0438177 | + | 0.367145i | ||||
\(721\) | 7.09862 | + | 21.8473i | 0.264366 | + | 0.813636i | ||||
\(722\) | −8.70490 | + | 11.9813i | −0.323963 | + | 0.445896i | ||||
\(723\) | 33.0176 | + | 45.4448i | 1.22794 | + | 1.69011i | ||||
\(724\) | 3.56677 | − | 10.9774i | 0.132558 | − | 0.407971i | ||||
\(725\) | 0.871176 | + | 0.358863i | 0.0323547 | + | 0.0133278i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 45.5415i | 1.68904i | 0.535522 | + | 0.844521i | \(0.320115\pi\) | ||||
−0.535522 | + | 0.844521i | \(0.679885\pi\) | |||||||
\(728\) | −16.4852 | − | 5.35637i | −0.610982 | − | 0.198520i | ||||
\(729\) | 11.9514 | − | 8.68317i | 0.442643 | − | 0.321599i | ||||
\(730\) | 22.2704 | + | 24.0449i | 0.824266 | + | 0.889943i | ||||
\(731\) | −5.78391 | − | 17.8011i | −0.213926 | − | 0.658396i | ||||
\(732\) | −2.40140 | + | 0.780262i | −0.0887583 | + | 0.0288393i | ||||
\(733\) | 6.68835 | − | 9.20572i | 0.247040 | − | 0.340021i | −0.667432 | − | 0.744671i | \(-0.732607\pi\) |
0.914472 | + | 0.404650i | \(0.132607\pi\) | |||||||
\(734\) | −27.2936 | + | 19.8300i | −1.00743 | + | 0.731938i | ||||
\(735\) | 7.58871 | + | 4.24016i | 0.279914 | + | 0.156401i | ||||
\(736\) | −15.3459 | −0.565659 | ||||||||
\(737\) | 0 | 0 | ||||||||
\(738\) | − | 11.7852i | − | 0.433818i | ||||||
\(739\) | −1.34045 | + | 4.12547i | −0.0493091 | + | 0.151758i | −0.972679 | − | 0.232153i | \(-0.925423\pi\) |
0.923370 | + | 0.383911i | \(0.125423\pi\) | |||||||
\(740\) | 1.79448 | + | 3.88256i | 0.0659663 | + | 0.142726i | ||||
\(741\) | −31.2498 | − | 22.7043i | −1.14799 | − | 0.834064i | ||||
\(742\) | 44.6740 | − | 14.5154i | 1.64003 | − | 0.532879i | ||||
\(743\) | −16.4480 | + | 5.34429i | −0.603420 | + | 0.196063i | −0.594765 | − | 0.803900i | \(-0.702755\pi\) |
−0.00865478 | + | 0.999963i | \(0.502755\pi\) | |||||||
\(744\) | −2.29204 | − | 1.66526i | −0.0840302 | − | 0.0610515i | ||||
\(745\) | −12.0071 | + | 5.54955i | −0.439905 | + | 0.203320i | ||||
\(746\) | −3.84491 | + | 11.8334i | −0.140772 | + | 0.433253i | ||||
\(747\) | − | 2.86281i | − | 0.104745i | ||||||
\(748\) | 0 | 0 | ||||||||
\(749\) | 22.5357 | 0.823437 | ||||||||
\(750\) | 28.6222 | − | 22.7001i | 1.04514 | − | 0.828890i | ||||
\(751\) | 25.4946 | − | 18.5229i | 0.930310 | − | 0.675910i | −0.0157586 | − | 0.999876i | \(-0.505016\pi\) |
0.946069 | + | 0.323966i | \(0.105016\pi\) | |||||||
\(752\) | 34.8198 | − | 47.9253i | 1.26975 | − | 1.74766i | ||||
\(753\) | 44.7691 | − | 14.5464i | 1.63148 | − | 0.530099i | ||||
\(754\) | −0.356463 | − | 1.09708i | −0.0129816 | − | 0.0399533i | ||||
\(755\) | 19.4153 | + | 20.9623i | 0.706594 | + | 0.762895i | ||||
\(756\) | −5.55175 | + | 4.03358i | −0.201915 | + | 0.146700i | ||||
\(757\) | 8.82332 | + | 2.86687i | 0.320689 | + | 0.104198i | 0.464938 | − | 0.885343i | \(-0.346077\pi\) |
−0.144249 | + | 0.989541i | \(0.546077\pi\) | |||||||
\(758\) | 38.3718i | 1.39373i | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 4.79350 | − | 24.2220i | 0.173879 | − | 0.878626i | ||||
\(761\) | 1.28492 | − | 3.95459i | 0.0465784 | − | 0.143354i | −0.925062 | − | 0.379815i | \(-0.875988\pi\) |
0.971641 | + | 0.236461i | \(0.0759876\pi\) | |||||||
\(762\) | −4.66762 | − | 6.42442i | −0.169090 | − | 0.232732i | ||||
\(763\) | −11.6046 | + | 15.9724i | −0.420115 | + | 0.578239i | ||||
\(764\) | −0.710238 | − | 2.18589i | −0.0256955 | − | 0.0790827i | ||||
\(765\) | 4.44434 | − | 0.530419i | 0.160685 | − | 0.0191773i | ||||
\(766\) | −3.26667 | − | 2.37338i | −0.118030 | − | 0.0857536i | ||||
\(767\) | 0.747406 | + | 1.02872i | 0.0269873 | + | 0.0371448i | ||||
\(768\) | 29.2825 | + | 9.51446i | 1.05664 | + | 0.343324i | ||||
\(769\) | 16.8800 | 0.608709 | 0.304355 | − | 0.952559i | \(-0.401559\pi\) | ||||
0.304355 | + | 0.952559i | \(0.401559\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | 48.7305 | 1.75499 | ||||||||
\(772\) | 6.76028 | + | 2.19655i | 0.243308 | + | 0.0790555i | ||||
\(773\) | −4.98301 | − | 6.85852i | −0.179226 | − | 0.246684i | 0.709946 | − | 0.704256i | \(-0.248719\pi\) |
−0.889173 | + | 0.457572i | \(0.848719\pi\) | |||||||
\(774\) | 10.1338 | + | 7.36263i | 0.364252 | + | 0.264644i | ||||
\(775\) | −0.262774 | + | 3.42427i | −0.00943912 | + | 0.123003i | ||||
\(776\) | 1.46392 | + | 4.50548i | 0.0525517 | + | 0.161737i | ||||
\(777\) | −6.75168 | + | 9.29289i | −0.242215 | + | 0.333381i | ||||
\(778\) | −33.0402 | − | 45.4759i | −1.18455 | − | 1.63039i | ||||
\(779\) | −12.9326 | + | 39.8025i | −0.463359 | + | 1.42607i | ||||
\(780\) | −11.8217 | − | 2.33950i | −0.423286 | − | 0.0837676i | ||||
\(781\) | 0 | 0 | ||||||||
\(782\) | 14.1863i | 0.507303i | ||||||||
\(783\) | 0.743294 | + | 0.241511i | 0.0265632 | + | 0.00863089i | ||||
\(784\) | 7.85361 | − | 5.70598i | 0.280486 | − | 0.203785i | ||||
\(785\) | 23.5392 | − | 21.8020i | 0.840150 | − | 0.778148i | ||||
\(786\) | −1.60387 | − | 4.93620i | −0.0572080 | − | 0.176068i | ||||
\(787\) | 50.9924 | − | 16.5684i | 1.81768 | − | 0.590601i | 0.817796 | − | 0.575508i | \(-0.195196\pi\) |
0.999886 | − | 0.0150924i | \(-0.00480424\pi\) | |||||||
\(788\) | 6.24233 | − | 8.59183i | 0.222374 | − | 0.306071i | ||||
\(789\) | −8.69272 | + | 6.31563i | −0.309469 | + | 0.224842i | ||||
\(790\) | 23.3651 | + | 13.0552i | 0.831293 | + | 0.464482i | ||||
\(791\) | 0.518940 | 0.0184514 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 6.41307i | 0.227735i | ||||||||
\(794\) | 14.0586 | − | 43.2679i | 0.498921 | − | 1.53552i | ||||
\(795\) | −50.7318 | + | 23.4477i | −1.79927 | + | 0.831605i | ||||
\(796\) | −8.83077 | − | 6.41593i | −0.312998 | − | 0.227407i | ||||
\(797\) | −27.1477 | + | 8.82082i | −0.961621 | + | 0.312450i | −0.747429 | − | 0.664342i | \(-0.768712\pi\) |
−0.214192 | + | 0.976792i | \(0.568712\pi\) | |||||||
\(798\) | −36.8515 | + | 11.9738i | −1.30453 | + | 0.423867i | ||||
\(799\) | −21.6206 | − | 15.7083i | −0.764883 | − | 0.555720i | ||||
\(800\) | −4.68527 | − | 19.3491i | −0.165649 | − | 0.684096i | ||||
\(801\) | 2.75879 | − | 8.49070i | 0.0974772 | − | 0.300004i | ||||
\(802\) | 3.12290i | 0.110273i | ||||||||
\(803\) | 0 | 0 | ||||||||
\(804\) | 0.947515 | 0.0334163 | ||||||||
\(805\) | −9.42915 | + | 16.8756i | −0.332334 | + | 0.594785i | ||||
\(806\) | 3.40166 | − | 2.47145i | 0.119819 | − | 0.0870532i | ||||
\(807\) | 7.78350 | − | 10.7131i | 0.273992 | − | 0.377118i | ||||
\(808\) | −19.6596 | + | 6.38780i | −0.691623 | + | 0.224722i | ||||
\(809\) | 11.4170 | + | 35.1378i | 0.401399 | + | 1.23538i | 0.923865 | + | 0.382718i | \(0.125012\pi\) |
−0.522466 | + | 0.852660i | \(0.674988\pi\) | |||||||
\(810\) | 29.5587 | − | 27.3773i | 1.03859 | − | 0.961941i | ||||
\(811\) | −31.0475 | + | 22.5573i | −1.09022 | + | 0.792094i | −0.979437 | − | 0.201750i | \(-0.935337\pi\) |
−0.110787 | + | 0.993844i | \(0.535337\pi\) | |||||||
\(812\) | −0.296528 | − | 0.0963477i | −0.0104061 | − | 0.00338114i | ||||
\(813\) | 9.99209i | 0.350438i | ||||||||
\(814\) | 0 | 0 | ||||||||
\(815\) | −1.57453 | + | 7.95628i | −0.0551535 | + | 0.278696i | ||||
\(816\) | 6.69431 | − | 20.6030i | 0.234348 | − | 0.721248i | ||||
\(817\) | −26.1458 | − | 35.9865i | −0.914724 | − | 1.25901i | ||||
\(818\) | −13.1852 | + | 18.1478i | −0.461008 | + | 0.634524i | ||||
\(819\) | −2.30749 | − | 7.10171i | −0.0806301 | − | 0.248154i | ||||
\(820\) | 1.54731 | + | 12.9648i | 0.0540345 | + | 0.452751i | ||||
\(821\) | −8.29214 | − | 6.02459i | −0.289398 | − | 0.210260i | 0.433608 | − | 0.901101i | \(-0.357240\pi\) |
−0.723006 | + | 0.690842i | \(0.757240\pi\) | |||||||
\(822\) | 35.9181 | + | 49.4370i | 1.25279 | + | 1.72431i | ||||
\(823\) | −23.9948 | − | 7.79637i | −0.836405 | − | 0.271764i | −0.140664 | − | 0.990057i | \(-0.544924\pi\) |
−0.695741 | + | 0.718293i | \(0.744924\pi\) | |||||||
\(824\) | −21.3904 | −0.745170 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.27555 | 0.0443820 | ||||||||
\(827\) | 17.4505 | + | 5.67001i | 0.606813 | + | 0.197165i | 0.596277 | − | 0.802779i | \(-0.296646\pi\) |
0.0105362 | + | 0.999944i | \(0.496646\pi\) | |||||||
\(828\) | −1.50360 | − | 2.06953i | −0.0522537 | − | 0.0719211i | ||||
\(829\) | 19.7259 | + | 14.3317i | 0.685110 | + | 0.497761i | 0.875049 | − | 0.484035i | \(-0.160829\pi\) |
−0.189939 | + | 0.981796i | \(0.560829\pi\) | |||||||
\(830\) | 1.39498 | + | 11.6884i | 0.0484203 | + | 0.405710i | ||||
\(831\) | 6.52575 | + | 20.0842i | 0.226376 | + | 0.696713i | ||||
\(832\) | 7.12060 | − | 9.80066i | 0.246862 | − | 0.339777i | ||||
\(833\) | −2.57415 | − | 3.54301i | −0.0891890 | − | 0.122758i | ||||
\(834\) | 11.7401 | − | 36.1324i | 0.406528 | − | 1.25116i | ||||
\(835\) | −1.65855 | + | 8.38081i | −0.0573964 | + | 0.290030i | ||||
\(836\) | 0 | 0 | ||||||||
\(837\) | 2.84876i | 0.0984676i | ||||||||
\(838\) | −34.8345 | − | 11.3184i | −1.20334 | − | 0.390988i | ||||
\(839\) | −34.2059 | + | 24.8520i | −1.18092 | + | 0.857988i | −0.992275 | − | 0.124058i | \(-0.960409\pi\) |
−0.188644 | + | 0.982046i | \(0.560409\pi\) | |||||||
\(840\) | 15.1780 | − | 14.0579i | 0.523691 | − | 0.485044i | ||||
\(841\) | −8.95052 | − | 27.5469i | −0.308639 | − | 0.949892i | ||||
\(842\) | 28.1715 | − | 9.15347i | 0.970853 | − | 0.315449i | ||||
\(843\) | 15.9252 | − | 21.9191i | 0.548492 | − | 0.754935i | ||||
\(844\) | 4.04097 | − | 2.93594i | 0.139096 | − | 0.101059i | ||||
\(845\) | −0.750612 | + | 1.34339i | −0.0258218 | + | 0.0462139i | ||||
\(846\) | 17.8849 | 0.614895 | ||||||||
\(847\) | 0 | 0 | ||||||||
\(848\) | 62.4117i | 2.14323i | ||||||||
\(849\) | −13.4066 | + | 41.2613i | −0.460113 | + | 1.41608i | ||||
\(850\) | −17.8870 | + | 4.33123i | −0.613521 | + | 0.148560i | ||||
\(851\) | 8.08567 | + | 5.87458i | 0.277173 | + | 0.201378i | ||||
\(852\) | 6.43874 | − | 2.09207i | 0.220587 | − | 0.0716732i | ||||
\(853\) | −14.6353 | + | 4.75529i | −0.501103 | + | 0.162818i | −0.548652 | − | 0.836051i | \(-0.684859\pi\) |
0.0475493 | + | 0.998869i | \(0.484859\pi\) | |||||||
\(854\) | 5.20454 | + | 3.78132i | 0.178096 | + | 0.129394i | ||||
\(855\) | 9.65562 | − | 4.46273i | 0.330215 | − | 0.152622i | ||||
\(856\) | −6.48458 | + | 19.9575i | −0.221638 | + | 0.682132i | ||||
\(857\) | − | 36.1038i | − | 1.23328i | −0.787245 | − | 0.616641i | \(-0.788493\pi\) | ||
0.787245 | − | 0.616641i | \(-0.211507\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −48.3509 | −1.64971 | −0.824855 | − | 0.565344i | \(-0.808743\pi\) | ||||
−0.824855 | + | 0.565344i | \(0.808743\pi\) | |||||||
\(860\) | −12.1148 | − | 6.76910i | −0.413111 | − | 0.230824i | ||||
\(861\) | −28.3680 | + | 20.6106i | −0.966781 | + | 0.702407i | ||||
\(862\) | 32.5272 | − | 44.7699i | 1.10788 | − | 1.52487i | ||||
\(863\) | 35.3685 | − | 11.4919i | 1.20396 | − | 0.391190i | 0.362743 | − | 0.931889i | \(-0.381840\pi\) |
0.841216 | + | 0.540699i | \(0.181840\pi\) | |||||||
\(864\) | −5.10306 | − | 15.7056i | −0.173610 | − | 0.534316i | ||||
\(865\) | 3.45680 | − | 3.20169i | 0.117535 | − | 0.108861i | ||||
\(866\) | −42.1539 | + | 30.6266i | −1.43245 | + | 1.04073i | ||||
\(867\) | 22.6336 | + | 7.35411i | 0.768679 | + | 0.249759i | ||||
\(868\) | − | 1.13648i | − | 0.0385745i | ||||||
\(869\) | 0 | 0 | ||||||||
\(870\) | 1.35059 | + | 0.267279i | 0.0457892 | + | 0.00906160i | ||||
\(871\) | 0.743664 | − | 2.28876i | 0.0251981 | − | 0.0775517i | ||||
\(872\) | −10.8058 | − | 14.8730i | −0.365932 | − | 0.503662i | ||||
\(873\) | −1.19956 | + | 1.65105i | −0.0405990 | + | 0.0558797i | ||||
\(874\) | 10.4183 | + | 32.0642i | 0.352403 | + | 1.08459i | ||||
\(875\) | −24.1566 | − | 6.73660i | −0.816642 | − | 0.227739i | ||||
\(876\) | 10.4395 | + | 7.58472i | 0.352717 | + | 0.256264i | ||||
\(877\) | −15.1609 | − | 20.8672i | −0.511947 | − | 0.704634i | 0.472299 | − | 0.881438i | \(-0.343424\pi\) |
−0.984246 | + | 0.176804i | \(0.943424\pi\) | |||||||
\(878\) | −56.0530 | − | 18.2127i | −1.89170 | − | 0.614649i | ||||
\(879\) | 27.7221 | 0.935044 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −45.6820 | −1.53906 | −0.769532 | − | 0.638608i | \(-0.779511\pi\) | ||||
−0.769532 | + | 0.638608i | \(0.779511\pi\) | |||||||
\(882\) | 2.78738 | + | 0.905675i | 0.0938560 | + | 0.0304957i | ||||
\(883\) | −2.91912 | − | 4.01783i | −0.0982364 | − | 0.135211i | 0.757069 | − | 0.653335i | \(-0.226631\pi\) |
−0.855306 | + | 0.518124i | \(0.826631\pi\) | |||||||
\(884\) | 4.91167 | + | 3.56853i | 0.165197 | + | 0.120023i | ||||
\(885\) | −1.50695 | + | 0.179850i | −0.0506556 | + | 0.00604560i | ||||
\(886\) | 12.0090 | + | 36.9600i | 0.403452 | + | 1.24170i | ||||
\(887\) | −17.0006 | + | 23.3994i | −0.570826 | + | 0.785674i | −0.992652 | − | 0.121002i | \(-0.961389\pi\) |
0.421827 | + | 0.906677i | \(0.361389\pi\) | |||||||
\(888\) | −6.28695 | − | 8.65324i | −0.210976 | − | 0.290384i | ||||
\(889\) | −1.68459 | + | 5.18463i | −0.0564993 | + | 0.173887i | ||||
\(890\) | −7.12641 | + | 36.0104i | −0.238878 | + | 1.20707i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 6.43021i | 0.215299i | ||||||||
\(893\) | −60.4033 | − | 19.6262i | −2.02132 | − | 0.656766i | ||||
\(894\) | −15.6372 | + | 11.3611i | −0.522987 | + | 0.379972i | ||||
\(895\) | 7.63365 | + | 8.24189i | 0.255165 | + | 0.275496i | ||||
\(896\) | −9.27501 | − | 28.5456i | −0.309856 | − | 0.953640i | ||||
\(897\) | −26.7811 | + | 8.70172i | −0.894196 | + | 0.290542i | ||||
\(898\) | −30.5299 | + | 42.0208i | −1.01880 | + | 1.40225i | ||||
\(899\) | −0.104713 | + | 0.0760785i | −0.00349237 | + | 0.00253736i | ||||
\(900\) | 2.15033 | − | 2.52768i | 0.0716776 | − | 0.0842561i | ||||
\(901\) | 28.1559 | 0.938010 | ||||||||
\(902\) | 0 | 0 | ||||||||
\(903\) | − | 37.2692i | − | 1.24024i | ||||||
\(904\) | −0.149323 | + | 0.459570i | −0.00496642 | + | 0.0152851i | ||||
\(905\) | 31.7608 | − | 14.6795i | 1.05577 | − | 0.487964i | ||||
\(906\) | 33.7773 | + | 24.5406i | 1.12217 | + | 0.815307i | ||||
\(907\) | 12.6041 | − | 4.09531i | 0.418511 | − | 0.135983i | −0.0921887 | − | 0.995742i | \(-0.529386\pi\) |
0.510700 | + | 0.859759i | \(0.329386\pi\) | |||||||
\(908\) | 2.67106 | − | 0.867880i | 0.0886422 | − | 0.0288016i | ||||
\(909\) | −7.20435 | − | 5.23427i | −0.238953 | − | 0.173610i | ||||
\(910\) | 12.8816 | + | 27.8708i | 0.427020 | + | 0.923906i | ||||
\(911\) | 4.24361 | − | 13.0605i | 0.140597 | − | 0.432713i | −0.855822 | − | 0.517271i | \(-0.826948\pi\) |
0.996419 | + | 0.0845580i | \(0.0269478\pi\) | |||||||
\(912\) | − | 51.4833i | − | 1.70478i | ||||||
\(913\) | 0 | 0 | ||||||||
\(914\) | 64.7117 | 2.14047 | ||||||||
\(915\) | −6.68188 | − | 3.73348i | −0.220896 | − | 0.123425i | ||||
\(916\) | 1.61942 | − | 1.17658i | 0.0535071 | − | 0.0388752i | ||||
\(917\) | −2.09430 | + | 2.88256i | −0.0691600 | + | 0.0951906i | ||||
\(918\) | −14.5188 | + | 4.71745i | −0.479193 | + | 0.155699i | ||||
\(919\) | 18.3494 | + | 56.4737i | 0.605292 | + | 1.86290i | 0.494774 | + | 0.869022i | \(0.335251\pi\) |
0.110517 | + | 0.993874i | \(0.464749\pi\) | |||||||
\(920\) | −12.2317 | − | 13.2063i | −0.403266 | − | 0.435398i | ||||
\(921\) | −10.9750 | + | 7.97379i | −0.361638 | + | 0.262745i | ||||
\(922\) | −13.9798 | − | 4.54233i | −0.460402 | − | 0.149594i | ||||
\(923\) | − | 17.1950i | − | 0.565981i | ||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | −4.93842 | + | 11.9885i | −0.162374 | + | 0.394179i | ||||
\(926\) | 2.15296 | − | 6.62613i | 0.0707507 | − | 0.217748i | ||||
\(927\) | −5.41635 | − | 7.45496i | −0.177896 | − | 0.244853i | ||||
\(928\) | 0.441016 | − | 0.607006i | 0.0144770 | − | 0.0199259i | ||||
\(929\) | −6.05305 | − | 18.6294i | −0.198594 | − | 0.611210i | −0.999916 | − | 0.0129763i | \(-0.995869\pi\) |
0.801322 | − | 0.598234i | \(-0.204131\pi\) | |||||||
\(930\) | 0.594712 | + | 4.98305i | 0.0195014 | + | 0.163401i | ||||
\(931\) | −8.42007 | − | 6.11754i | −0.275957 | − | 0.200494i | ||||
\(932\) | 4.55720 | + | 6.27245i | 0.149276 | + | 0.205461i | ||||
\(933\) | −10.3327 | − | 3.35730i | −0.338277 | − | 0.109913i | ||||
\(934\) | 11.1327 | 0.364275 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 6.95320 | 0.227272 | ||||||||
\(937\) | −38.5608 | − | 12.5292i | −1.25973 | − | 0.409310i | −0.398329 | − | 0.917242i | \(-0.630410\pi\) |
−0.861397 | + | 0.507933i | \(0.830410\pi\) | |||||||
\(938\) | −1.41896 | − | 1.95304i | −0.0463308 | − | 0.0637689i | ||||
\(939\) | 22.7376 | + | 16.5198i | 0.742012 | + | 0.539104i | ||||
\(940\) | −19.6751 | + | 2.34816i | −0.641730 | + | 0.0765886i | ||||
\(941\) | 0.126602 | + | 0.389640i | 0.00412709 | + | 0.0127019i | 0.953099 | − | 0.302659i | \(-0.0978744\pi\) |
−0.948972 | + | 0.315361i | \(0.897874\pi\) | |||||||
\(942\) | 27.5575 | − | 37.9296i | 0.897870 | − | 1.23581i | ||||
\(943\) | 17.9331 | + | 24.6828i | 0.583982 | + | 0.803783i | ||||
\(944\) | −0.523717 | + | 1.61184i | −0.0170455 | + | 0.0524608i | ||||
\(945\) | −20.4066 | − | 4.03843i | −0.663826 | − | 0.131370i | ||||
\(946\) | 0 | 0 | ||||||||
\(947\) | 2.45729i | 0.0798511i | 0.999203 | + | 0.0399256i | \(0.0127121\pi\) | ||||
−0.999203 | + | 0.0399256i | \(0.987288\pi\) | |||||||
\(948\) | 10.0223 | + | 3.25643i | 0.325508 | + | 0.105764i | ||||
\(949\) | 26.5147 | − | 19.2640i | 0.860703 | − | 0.625337i | ||||
\(950\) | −37.2477 | + | 22.9255i | −1.20848 | + | 0.743802i | ||||
\(951\) | 11.4033 | + | 35.0956i | 0.369776 | + | 1.13805i | ||||
\(952\) | −9.91230 | + | 3.22070i | −0.321260 | + | 0.104384i | ||||
\(953\) | 35.8704 | − | 49.3714i | 1.16196 | − | 1.59930i | 0.458215 | − | 0.888841i | \(-0.348489\pi\) |
0.703742 | − | 0.710456i | \(-0.251511\pi\) | |||||||
\(954\) | −15.2441 | + | 11.0755i | −0.493546 | + | 0.358582i | ||||
\(955\) | 3.39842 | − | 6.08222i | 0.109970 | − | 0.196816i | ||||
\(956\) | −14.7820 | −0.478085 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | − | 34.4309i | − | 1.11241i | ||||||
\(959\) | 12.9632 | − | 39.8965i | 0.418603 | − | 1.28833i | ||||
\(960\) | 6.06609 | + | 13.1247i | 0.195782 | + | 0.423597i | ||||
\(961\) | 24.6978 | + | 17.9440i | 0.796705 | + | 0.578840i | ||||
\(962\) | 15.0972 | − | 4.90538i | 0.486754 | − | 0.158156i | ||||
\(963\) | −8.59754 | + | 2.79351i | −0.277052 | + | 0.0900196i | ||||
\(964\) | −16.9749 | − | 12.3330i | −0.546726 | − | 0.397220i | ||||
\(965\) | 9.04020 | + | 19.5595i | 0.291014 | + | 0.629642i | ||||
\(966\) | −8.72898 | + | 26.8650i | −0.280850 | + | 0.864369i | ||||
\(967\) | − | 17.1997i | − | 0.553106i | −0.960999 | − | 0.276553i | \(-0.910808\pi\) | ||
0.960999 | − | 0.276553i | \(-0.0891921\pi\) | |||||||
\(968\) | 0 | 0 | ||||||||
\(969\) | −23.2258 | −0.746119 | ||||||||
\(970\) | 4.09310 | − | 7.32550i | 0.131421 | − | 0.235208i | ||||
\(971\) | −22.0125 | + | 15.9930i | −0.706415 | + | 0.513241i | −0.882015 | − | 0.471221i | \(-0.843813\pi\) |
0.175600 | + | 0.984462i | \(0.443813\pi\) | |||||||
\(972\) | 3.92927 | − | 5.40818i | 0.126031 | − | 0.173467i | ||||
\(973\) | −24.8046 | + | 8.05950i | −0.795198 | + | 0.258376i | ||||
\(974\) | 8.06790 | + | 24.8304i | 0.258512 | + | 0.795619i | ||||
\(975\) | −19.1482 | − | 31.1106i | −0.613234 | − | 0.996338i | ||||
\(976\) | −6.91513 | + | 5.02414i | −0.221348 | + | 0.160819i | ||||
\(977\) | −18.2339 | − | 5.92454i | −0.583353 | − | 0.189543i | 0.00244904 | − | 0.999997i | \(-0.499220\pi\) |
−0.585802 | + | 0.810454i | \(0.699220\pi\) | |||||||
\(978\) | 11.8516i | 0.378971i | ||||||||
\(979\) | 0 | 0 | ||||||||
\(980\) | −3.18529 | − | 0.630365i | −0.101750 | − | 0.0201363i | ||||
\(981\) | 2.44732 | − | 7.53207i | 0.0781369 | − | 0.240481i | ||||
\(982\) | −18.7995 | − | 25.8753i | −0.599916 | − | 0.825714i | ||||
\(983\) | 14.1835 | − | 19.5219i | 0.452384 | − | 0.622653i | −0.520524 | − | 0.853847i | \(-0.674263\pi\) |
0.972908 | + | 0.231194i | \(0.0742632\pi\) | |||||||
\(984\) | −10.0898 | − | 31.0532i | −0.321651 | − | 0.989939i | ||||
\(985\) | 31.9667 | − | 3.81513i | 1.01854 | − | 0.121560i | ||||
\(986\) | −0.561138 | − | 0.407691i | −0.0178703 | − | 0.0129835i | ||||
\(987\) | −31.2781 | − | 43.0506i | −0.995593 | − | 1.37032i | ||||
\(988\) | 13.7221 | + | 4.45858i | 0.436558 | + | 0.141846i | ||||
\(989\) | −32.4276 | −1.03114 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 27.7081 | 0.880177 | 0.440089 | − | 0.897954i | \(-0.354947\pi\) | ||||
0.440089 | + | 0.897954i | \(0.354947\pi\) | |||||||
\(992\) | 2.60102 | + | 0.845122i | 0.0825824 | + | 0.0268327i | ||||
\(993\) | −0.543521 | − | 0.748092i | −0.0172481 | − | 0.0237400i | ||||
\(994\) | −13.9546 | − | 10.1386i | −0.442614 | − | 0.321578i | ||||
\(995\) | −3.92123 | − | 32.8556i | −0.124311 | − | 1.04159i | ||||
\(996\) | 1.43219 | + | 4.40782i | 0.0453806 | + | 0.139667i | ||||
\(997\) | −19.6856 | + | 27.0950i | −0.623451 | + | 0.858106i | −0.997598 | − | 0.0692628i | \(-0.977935\pi\) |
0.374148 | + | 0.927369i | \(0.377935\pi\) | |||||||
\(998\) | 40.3211 | + | 55.4972i | 1.27634 | + | 1.75673i | ||||
\(999\) | −3.32350 | + | 10.2287i | −0.105151 | + | 0.323621i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))