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: | \(12\) |
Relative dimension: | \(6\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{12} + 8x^{10} + 54x^{8} + 78x^{6} + 92x^{4} + 10x^{2} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 65) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 276.4 | ||
Root | \(0.165418 - 0.286513i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 325.276 |
Dual form | 325.2.e.e.126.4 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/325\mathbb{Z}\right)^\times\).
\(n\) | \(27\) | \(301\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.165418 | + | 0.286513i | 0.116968 | + | 0.202595i | 0.918565 | − | 0.395270i | \(-0.129349\pi\) |
−0.801597 | + | 0.597865i | \(0.796016\pi\) | |||||||
\(3\) | −1.34590 | − | 2.33117i | −0.777057 | − | 1.34590i | −0.933631 | − | 0.358236i | \(-0.883378\pi\) |
0.156574 | − | 0.987666i | \(-0.449955\pi\) | |||||||
\(4\) | 0.945274 | − | 1.63726i | 0.472637 | − | 0.818631i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 0.445274 | − | 0.771236i | 0.181782 | − | 0.314856i | ||||
\(7\) | 1.67674 | − | 2.90420i | 0.633748 | − | 1.09768i | −0.353031 | − | 0.935611i | \(-0.614849\pi\) |
0.986779 | − | 0.162072i | \(-0.0518176\pi\) | |||||||
\(8\) | 1.28714 | 0.455071 | ||||||||
\(9\) | −2.12291 | + | 3.67698i | −0.707635 | + | 1.22566i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | 1.62291 | + | 2.81095i | 0.489324 | + | 0.847535i | 0.999925 | − | 0.0122837i | \(-0.00391011\pi\) |
−0.510600 | + | 0.859818i | \(0.670577\pi\) | |||||||
\(12\) | −5.08898 | −1.46906 | ||||||||
\(13\) | −3.39414 | − | 1.21648i | −0.941365 | − | 0.337391i | ||||
\(14\) | 1.10945 | 0.296514 | ||||||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −1.67763 | − | 2.90574i | −0.419408 | − | 0.726436i | ||||
\(17\) | −0.974404 | + | 1.68772i | −0.236328 | + | 0.409332i | −0.959658 | − | 0.281171i | \(-0.909277\pi\) |
0.723330 | + | 0.690503i | \(0.242611\pi\) | |||||||
\(18\) | −1.40467 | −0.331084 | ||||||||
\(19\) | 0.622905 | − | 1.07890i | 0.142904 | − | 0.247517i | −0.785685 | − | 0.618627i | \(-0.787689\pi\) |
0.928589 | + | 0.371110i | \(0.121023\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | −9.02690 | −1.96983 | ||||||||
\(22\) | −0.536916 | + | 0.929966i | −0.114471 | + | 0.198269i | ||||
\(23\) | 1.34590 | + | 2.33117i | 0.280640 | + | 0.486083i | 0.971543 | − | 0.236865i | \(-0.0761200\pi\) |
−0.690903 | + | 0.722948i | \(0.742787\pi\) | |||||||
\(24\) | −1.73236 | − | 3.00053i | −0.353616 | − | 0.612481i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −0.212916 | − | 1.17369i | −0.0417562 | − | 0.230180i | ||||
\(27\) | 3.35348 | 0.645377 | ||||||||
\(28\) | −3.16995 | − | 5.49052i | −0.599065 | − | 1.03761i | ||||
\(29\) | −1.50000 | − | 2.59808i | −0.278543 | − | 0.482451i | 0.692480 | − | 0.721437i | \(-0.256518\pi\) |
−0.971023 | + | 0.238987i | \(0.923185\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | 3.78109 | 0.679105 | 0.339552 | − | 0.940587i | \(-0.389724\pi\) | ||||
0.339552 | + | 0.940587i | \(0.389724\pi\) | |||||||
\(32\) | 1.84216 | − | 3.19071i | 0.325650 | − | 0.564043i | ||||
\(33\) | 4.36854 | − | 7.56654i | 0.760466 | − | 1.31717i | ||||
\(34\) | −0.644737 | −0.110571 | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | 4.01345 | + | 6.95150i | 0.668909 | + | 1.15858i | ||||
\(37\) | 0.974404 | + | 1.68772i | 0.160191 | + | 0.277459i | 0.934937 | − | 0.354813i | \(-0.115456\pi\) |
−0.774746 | + | 0.632273i | \(0.782122\pi\) | |||||||
\(38\) | 0.412160 | 0.0668611 | ||||||||
\(39\) | 1.73236 | + | 9.54958i | 0.277399 | + | 1.52916i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | −1.39055 | − | 2.40850i | −0.217167 | − | 0.376144i | 0.736774 | − | 0.676139i | \(-0.236348\pi\) |
−0.953941 | + | 0.299995i | \(0.903015\pi\) | |||||||
\(42\) | −1.49321 | − | 2.58632i | −0.230408 | − | 0.399078i | ||||
\(43\) | −4.36854 | + | 7.56654i | −0.666197 | + | 1.15389i | 0.312763 | + | 0.949831i | \(0.398745\pi\) |
−0.978959 | + | 0.204055i | \(0.934588\pi\) | |||||||
\(44\) | 6.13636 | 0.925091 | ||||||||
\(45\) | 0 | 0 | ||||||||
\(46\) | −0.445274 | + | 0.771236i | −0.0656520 | + | 0.113713i | ||||
\(47\) | 6.86960 | 1.00203 | 0.501017 | − | 0.865437i | \(-0.332959\pi\) | ||||
0.501017 | + | 0.865437i | \(0.332959\pi\) | |||||||
\(48\) | −4.51586 | + | 7.82169i | −0.651808 | + | 1.12896i | ||||
\(49\) | −2.12291 | − | 3.67698i | −0.303272 | − | 0.525283i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 5.24581 | 0.734560 | ||||||||
\(52\) | −5.20008 | + | 4.40719i | −0.721122 | + | 0.611167i | ||||
\(53\) | 12.8336 | 1.76282 | 0.881412 | − | 0.472347i | \(-0.156593\pi\) | ||||
0.881412 | + | 0.472347i | \(0.156593\pi\) | |||||||
\(54\) | 0.554726 | + | 0.960814i | 0.0754887 | + | 0.130750i | ||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 2.15819 | − | 3.73809i | 0.288400 | − | 0.499524i | ||||
\(57\) | −3.35348 | −0.444179 | ||||||||
\(58\) | 0.496255 | − | 0.859539i | 0.0651614 | − | 0.112863i | ||||
\(59\) | 1.26764 | − | 2.19562i | 0.165033 | − | 0.285845i | −0.771634 | − | 0.636067i | \(-0.780560\pi\) |
0.936667 | + | 0.350221i | \(0.113894\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 3.74581 | − | 6.48793i | 0.479602 | − | 0.830695i | −0.520124 | − | 0.854090i | \(-0.674114\pi\) |
0.999726 | + | 0.0233957i | \(0.00744777\pi\) | |||||||
\(62\) | 0.625462 | + | 1.08333i | 0.0794338 | + | 0.137583i | ||||
\(63\) | 7.11911 | + | 12.3307i | 0.896924 | + | 1.55352i | ||||
\(64\) | −5.49162 | −0.686453 | ||||||||
\(65\) | 0 | 0 | ||||||||
\(66\) | 2.89055 | 0.355802 | ||||||||
\(67\) | −2.00758 | − | 3.47722i | −0.245264 | − | 0.424810i | 0.716942 | − | 0.697133i | \(-0.245541\pi\) |
−0.962206 | + | 0.272323i | \(0.912208\pi\) | |||||||
\(68\) | 1.84216 | + | 3.19071i | 0.223394 | + | 0.386930i | ||||
\(69\) | 3.62291 | − | 6.27506i | 0.436147 | − | 0.755428i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | −2.62291 | + | 4.54300i | −0.311282 | + | 0.539155i | −0.978640 | − | 0.205581i | \(-0.934092\pi\) |
0.667359 | + | 0.744737i | \(0.267425\pi\) | |||||||
\(72\) | −2.73247 | + | 4.73277i | −0.322024 | + | 0.557762i | ||||
\(73\) | 5.46493 | 0.639622 | 0.319811 | − | 0.947481i | \(-0.396381\pi\) | ||||
0.319811 | + | 0.947481i | \(0.396381\pi\) | |||||||
\(74\) | −0.322368 | + | 0.558359i | −0.0374746 | + | 0.0649079i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −1.17763 | − | 2.03972i | −0.135084 | − | 0.233972i | ||||
\(77\) | 10.8848 | 1.24043 | ||||||||
\(78\) | −2.44951 | + | 2.07602i | −0.277353 | + | 0.235063i | ||||
\(79\) | 13.7811 | 1.55049 | 0.775247 | − | 0.631658i | \(-0.217625\pi\) | ||||
0.775247 | + | 0.631658i | \(0.217625\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 1.85526 | + | 3.21341i | 0.206140 | + | 0.357046i | ||||
\(82\) | 0.460044 | − | 0.796819i | 0.0508033 | − | 0.0879940i | ||||
\(83\) | −8.61955 | −0.946119 | −0.473059 | − | 0.881031i | \(-0.656850\pi\) | ||||
−0.473059 | + | 0.881031i | \(0.656850\pi\) | |||||||
\(84\) | −8.53289 | + | 14.7794i | −0.931015 | + | 1.61257i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | −2.89055 | −0.311696 | ||||||||
\(87\) | −4.03771 | + | 6.99351i | −0.432888 | + | 0.749783i | ||||
\(88\) | 2.08890 | + | 3.61808i | 0.222677 | + | 0.385688i | ||||
\(89\) | −5.15819 | − | 8.93425i | −0.546767 | − | 0.947028i | −0.998493 | − | 0.0548717i | \(-0.982525\pi\) |
0.451726 | − | 0.892156i | \(-0.350808\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −9.22398 | + | 7.81753i | −0.966936 | + | 0.819500i | ||||
\(92\) | 5.08898 | 0.530563 | ||||||||
\(93\) | −5.08898 | − | 8.81438i | −0.527703 | − | 0.914008i | ||||
\(94\) | 1.13636 | + | 1.96823i | 0.117206 | + | 0.203007i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −9.91745 | −1.01220 | ||||||||
\(97\) | −2.63304 | + | 4.56055i | −0.267344 | + | 0.463054i | −0.968175 | − | 0.250273i | \(-0.919479\pi\) |
0.700831 | + | 0.713328i | \(0.252813\pi\) | |||||||
\(98\) | 0.702335 | − | 1.21648i | 0.0709465 | − | 0.122883i | ||||
\(99\) | −13.7811 | −1.38505 | ||||||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −2.85526 | − | 4.94546i | −0.284109 | − | 0.492092i | 0.688283 | − | 0.725442i | \(-0.258365\pi\) |
−0.972393 | + | 0.233350i | \(0.925031\pi\) | |||||||
\(102\) | 0.867753 | + | 1.50299i | 0.0859203 | + | 0.148818i | ||||
\(103\) | 7.36863 | 0.726052 | 0.363026 | − | 0.931779i | \(-0.381744\pi\) | ||||
0.363026 | + | 0.931779i | \(0.381744\pi\) | |||||||
\(104\) | −4.36872 | − | 1.56577i | −0.428388 | − | 0.153537i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | 2.12291 | + | 3.67698i | 0.206195 | + | 0.357140i | ||||
\(107\) | 4.28722 | + | 7.42568i | 0.414461 | + | 0.717868i | 0.995372 | − | 0.0960996i | \(-0.0306367\pi\) |
−0.580911 | + | 0.813967i | \(0.697303\pi\) | |||||||
\(108\) | 3.16995 | − | 5.49052i | 0.305029 | − | 0.528326i | ||||
\(109\) | −8.49162 | −0.813350 | −0.406675 | − | 0.913573i | \(-0.633312\pi\) | ||||
−0.406675 | + | 0.913573i | \(0.633312\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.62291 | − | 4.54300i | 0.248955 | − | 0.431203i | ||||
\(112\) | −11.2518 | −1.06320 | ||||||||
\(113\) | −3.66621 | + | 6.35006i | −0.344888 | + | 0.597363i | −0.985333 | − | 0.170640i | \(-0.945416\pi\) |
0.640446 | + | 0.768004i | \(0.278750\pi\) | |||||||
\(114\) | −0.554726 | − | 0.960814i | −0.0519549 | − | 0.0899885i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | −5.67164 | −0.526599 | ||||||||
\(117\) | 11.6784 | − | 9.89771i | 1.07967 | − | 0.915044i | ||||
\(118\) | 0.838765 | 0.0772145 | ||||||||
\(119\) | 3.26764 | + | 5.65972i | 0.299544 | + | 0.518826i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 0.232358 | − | 0.402456i | 0.0211234 | − | 0.0365869i | ||||
\(122\) | 2.47850 | 0.224393 | ||||||||
\(123\) | −3.74308 | + | 6.48321i | −0.337502 | + | 0.584571i | ||||
\(124\) | 3.57417 | − | 6.19064i | 0.320970 | − | 0.555936i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −2.35526 | + | 4.07944i | −0.209824 | + | 0.363425i | ||||
\(127\) | −4.58185 | − | 7.93599i | −0.406573 | − | 0.704205i | 0.587930 | − | 0.808912i | \(-0.299943\pi\) |
−0.994503 | + | 0.104707i | \(0.966610\pi\) | |||||||
\(128\) | −4.59273 | − | 7.95484i | −0.405944 | − | 0.703115i | ||||
\(129\) | 23.5185 | 2.07069 | ||||||||
\(130\) | 0 | 0 | ||||||||
\(131\) | 10.0000 | 0.873704 | 0.436852 | − | 0.899533i | \(-0.356093\pi\) | ||||
0.436852 | + | 0.899533i | \(0.356093\pi\) | |||||||
\(132\) | −8.25894 | − | 14.3049i | −0.718848 | − | 1.24508i | ||||
\(133\) | −2.08890 | − | 3.61808i | −0.181130 | − | 0.313727i | ||||
\(134\) | 0.664179 | − | 1.15039i | 0.0573763 | − | 0.0993787i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.25419 | + | 2.17232i | −0.107546 | + | 0.186275i | ||||
\(137\) | 8.42435 | − | 14.5914i | 0.719741 | − | 1.24663i | −0.241361 | − | 0.970435i | \(-0.577594\pi\) |
0.961102 | − | 0.276193i | \(-0.0890729\pi\) | |||||||
\(138\) | 2.39718 | 0.204061 | ||||||||
\(139\) | 0.513452 | − | 0.889325i | 0.0435505 | − | 0.0754316i | −0.843429 | − | 0.537241i | \(-0.819466\pi\) |
0.886979 | + | 0.461810i | \(0.152800\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −9.24581 | − | 16.0142i | −0.778638 | − | 1.34864i | ||||
\(142\) | −1.73551 | −0.145640 | ||||||||
\(143\) | −2.08890 | − | 11.5150i | −0.174682 | − | 0.962933i | ||||
\(144\) | 14.2458 | 1.18715 | ||||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 0.904000 | + | 1.56577i | 0.0748155 | + | 0.129584i | ||||
\(147\) | −5.71445 | + | 9.89771i | −0.471319 | + | 0.816349i | ||||
\(148\) | 3.68431 | 0.302849 | ||||||||
\(149\) | −7.92583 | + | 13.7279i | −0.649309 | + | 1.12464i | 0.333979 | + | 0.942581i | \(0.391609\pi\) |
−0.983288 | + | 0.182056i | \(0.941725\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 14.5454 | 1.18369 | 0.591845 | − | 0.806052i | \(-0.298400\pi\) | ||||
0.591845 | + | 0.806052i | \(0.298400\pi\) | |||||||
\(152\) | 0.801763 | − | 1.38869i | 0.0650316 | − | 0.112638i | ||||
\(153\) | −4.13713 | − | 7.16573i | −0.334468 | − | 0.579315i | ||||
\(154\) | 1.80054 | + | 3.11862i | 0.145091 | + | 0.251306i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 17.2727 | + | 6.19064i | 1.38292 | + | 0.495648i | ||||
\(157\) | −10.9210 | −0.871588 | −0.435794 | − | 0.900047i | \(-0.643532\pi\) | ||||
−0.435794 | + | 0.900047i | \(0.643532\pi\) | |||||||
\(158\) | 2.27964 | + | 3.94846i | 0.181359 | + | 0.314123i | ||||
\(159\) | −17.2727 | − | 29.9172i | −1.36982 | − | 2.37259i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 9.02690 | 0.711420 | ||||||||
\(162\) | −0.613789 | + | 1.06311i | −0.0482238 | + | 0.0835261i | ||||
\(163\) | −2.08890 | + | 3.61808i | −0.163615 | + | 0.283390i | −0.936163 | − | 0.351567i | \(-0.885649\pi\) |
0.772547 | + | 0.634957i | \(0.218982\pi\) | |||||||
\(164\) | −5.25779 | −0.410564 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.42583 | − | 2.46961i | −0.110666 | − | 0.191679i | ||||
\(167\) | −1.67674 | − | 2.90420i | −0.129750 | − | 0.224733i | 0.793830 | − | 0.608140i | \(-0.208084\pi\) |
−0.923580 | + | 0.383407i | \(0.874751\pi\) | |||||||
\(168\) | −11.6188 | −0.896413 | ||||||||
\(169\) | 10.0404 | + | 8.25780i | 0.772335 | + | 0.635215i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | 2.64474 | + | 4.58082i | 0.202248 | + | 0.350304i | ||||
\(172\) | 8.25894 | + | 14.3049i | 0.629738 | + | 1.09074i | ||||
\(173\) | 4.36854 | − | 7.56654i | 0.332134 | − | 0.575273i | −0.650796 | − | 0.759253i | \(-0.725565\pi\) |
0.982930 | + | 0.183979i | \(0.0588980\pi\) | |||||||
\(174\) | −2.67164 | −0.202537 | ||||||||
\(175\) | 0 | 0 | ||||||||
\(176\) | 5.44527 | − | 9.43149i | 0.410453 | − | 0.710925i | ||||
\(177\) | −6.82449 | −0.512960 | ||||||||
\(178\) | 1.70652 | − | 2.95577i | 0.127909 | − | 0.221545i | ||||
\(179\) | 9.00507 | + | 15.5972i | 0.673071 | + | 1.16579i | 0.977029 | + | 0.213107i | \(0.0683584\pi\) |
−0.303958 | + | 0.952685i | \(0.598308\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 1.04366 | 0.0775749 | 0.0387875 | − | 0.999247i | \(-0.487650\pi\) | ||||
0.0387875 | + | 0.999247i | \(0.487650\pi\) | |||||||
\(182\) | −3.76564 | − | 1.34963i | −0.279128 | − | 0.100041i | ||||
\(183\) | −20.1660 | −1.49071 | ||||||||
\(184\) | 1.73236 | + | 3.00053i | 0.127711 | + | 0.221202i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 1.68362 | − | 2.91612i | 0.123449 | − | 0.213820i | ||||
\(187\) | −6.32546 | −0.462564 | ||||||||
\(188\) | 6.49365 | − | 11.2473i | 0.473598 | − | 0.820296i | ||||
\(189\) | 5.62291 | − | 9.73916i | 0.409006 | − | 0.708419i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −12.7593 | + | 22.0997i | −0.923228 | + | 1.59908i | −0.128841 | + | 0.991665i | \(0.541126\pi\) |
−0.794387 | + | 0.607412i | \(0.792208\pi\) | |||||||
\(192\) | 7.39118 | + | 12.8019i | 0.533413 | + | 0.923898i | ||||
\(193\) | −9.91035 | − | 17.1652i | −0.713362 | − | 1.23558i | −0.963588 | − | 0.267392i | \(-0.913838\pi\) |
0.250225 | − | 0.968188i | \(-0.419495\pi\) | |||||||
\(194\) | −1.74221 | −0.125083 | ||||||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −8.02690 | −0.573350 | ||||||||
\(197\) | 10.8260 | + | 18.7512i | 0.771319 | + | 1.33596i | 0.936840 | + | 0.349758i | \(0.113736\pi\) |
−0.165521 | + | 0.986206i | \(0.552930\pi\) | |||||||
\(198\) | −2.27964 | − | 3.94846i | −0.162007 | − | 0.280605i | ||||
\(199\) | −9.11453 | + | 15.7868i | −0.646112 | + | 1.11910i | 0.337932 | + | 0.941171i | \(0.390273\pi\) |
−0.984044 | + | 0.177928i | \(0.943061\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | −5.40400 | + | 9.36000i | −0.381169 | + | 0.660204i | ||||
\(202\) | 0.944625 | − | 1.63614i | 0.0664636 | − | 0.115118i | ||||
\(203\) | −10.0604 | −0.706104 | ||||||||
\(204\) | 4.95873 | − | 8.58877i | 0.347180 | − | 0.601334i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 1.21891 | + | 2.11121i | 0.0849252 | + | 0.147095i | ||||
\(207\) | −11.4289 | −0.794363 | ||||||||
\(208\) | 2.15934 | + | 11.9033i | 0.149723 | + | 0.825345i | ||||
\(209\) | 4.04366 | 0.279706 | ||||||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −9.64981 | − | 16.7140i | −0.664320 | − | 1.15064i | −0.979469 | − | 0.201594i | \(-0.935388\pi\) |
0.315149 | − | 0.949042i | \(-0.397946\pi\) | |||||||
\(212\) | 12.1312 | − | 21.0119i | 0.833176 | − | 1.44310i | ||||
\(213\) | 14.1207 | 0.967534 | ||||||||
\(214\) | −1.41837 | + | 2.45669i | −0.0969577 | + | 0.167936i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | 4.31638 | 0.293692 | ||||||||
\(217\) | 6.33991 | − | 10.9810i | 0.430381 | − | 0.745442i | ||||
\(218\) | −1.40467 | − | 2.43296i | −0.0951362 | − | 0.164781i | ||||
\(219\) | −7.35526 | − | 12.7397i | −0.497023 | − | 0.860868i | ||||
\(220\) | 0 | 0 | ||||||||
\(221\) | 5.36034 | − | 4.54300i | 0.360575 | − | 0.305596i | ||||
\(222\) | 1.73551 | 0.116480 | ||||||||
\(223\) | 6.18537 | + | 10.7134i | 0.414203 | + | 0.717421i | 0.995344 | − | 0.0963818i | \(-0.0307270\pi\) |
−0.581141 | + | 0.813803i | \(0.697394\pi\) | |||||||
\(224\) | −6.17763 | − | 10.7000i | −0.412760 | − | 0.714922i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −2.42583 | −0.161364 | ||||||||
\(227\) | −3.08141 | + | 5.33715i | −0.204520 | + | 0.354239i | −0.949980 | − | 0.312311i | \(-0.898897\pi\) |
0.745460 | + | 0.666551i | \(0.232230\pi\) | |||||||
\(228\) | −3.16995 | + | 5.49052i | −0.209935 | + | 0.363619i | ||||
\(229\) | −26.9832 | −1.78310 | −0.891551 | − | 0.452920i | \(-0.850382\pi\) | ||||
−0.891551 | + | 0.452920i | \(0.850382\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −14.6498 | − | 25.3742i | −0.963887 | − | 1.66950i | ||||
\(232\) | −1.93070 | − | 3.34408i | −0.126757 | − | 0.219549i | ||||
\(233\) | −0.824319 | −0.0540029 | −0.0270015 | − | 0.999635i | \(-0.508596\pi\) | ||||
−0.0270015 | + | 0.999635i | \(0.508596\pi\) | |||||||
\(234\) | 4.76764 | + | 1.70875i | 0.311671 | + | 0.111705i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −2.39654 | − | 4.15092i | −0.156001 | − | 0.270202i | ||||
\(237\) | −18.5480 | − | 32.1261i | −1.20482 | − | 2.08681i | ||||
\(238\) | −1.08106 | + | 1.87244i | −0.0700744 | + | 0.121372i | ||||
\(239\) | 4.00000 | 0.258738 | 0.129369 | − | 0.991596i | \(-0.458705\pi\) | ||||
0.129369 | + | 0.991596i | \(0.458705\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −11.3469 | + | 19.6534i | −0.730917 | + | 1.26599i | 0.225575 | + | 0.974226i | \(0.427574\pi\) |
−0.956492 | + | 0.291760i | \(0.905759\pi\) | |||||||
\(242\) | 0.153745 | 0.00988310 | ||||||||
\(243\) | 10.0242 | − | 17.3625i | 0.643054 | − | 1.11380i | ||||
\(244\) | −7.08163 | − | 12.2657i | −0.453355 | − | 0.785234i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | −2.47670 | −0.157908 | ||||||||
\(247\) | −3.42669 | + | 2.90420i | −0.218035 | + | 0.184790i | ||||
\(248\) | 4.86678 | 0.309041 | ||||||||
\(249\) | 11.6011 | + | 20.0936i | 0.735188 | + | 1.27338i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | −9.51345 | + | 16.4778i | −0.600484 | + | 1.04007i | 0.392264 | + | 0.919853i | \(0.371692\pi\) |
−0.992748 | + | 0.120216i | \(0.961641\pi\) | |||||||
\(252\) | 26.9180 | 1.69568 | ||||||||
\(253\) | −4.36854 | + | 7.56654i | −0.274648 | + | 0.475704i | ||||
\(254\) | 1.51584 | − | 2.62552i | 0.0951124 | − | 0.164739i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −3.97218 | + | 6.88001i | −0.248261 | + | 0.430001i | ||||
\(257\) | −1.05573 | − | 1.82857i | −0.0658544 | − | 0.114063i | 0.831218 | − | 0.555946i | \(-0.187644\pi\) |
−0.897073 | + | 0.441883i | \(0.854311\pi\) | |||||||
\(258\) | 3.89039 | + | 6.73836i | 0.242205 | + | 0.419512i | ||||
\(259\) | 6.53528 | 0.406083 | ||||||||
\(260\) | 0 | 0 | ||||||||
\(261\) | 12.7374 | 0.788427 | ||||||||
\(262\) | 1.65418 | + | 2.86513i | 0.102196 | + | 0.177008i | ||||
\(263\) | 14.9587 | + | 25.9092i | 0.922391 | + | 1.59763i | 0.795704 | + | 0.605685i | \(0.207101\pi\) |
0.126687 | + | 0.991943i | \(0.459566\pi\) | |||||||
\(264\) | 5.62291 | − | 9.73916i | 0.346066 | − | 0.599404i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0.691084 | − | 1.19699i | 0.0423731 | − | 0.0733923i | ||||
\(267\) | −13.8848 | + | 24.0492i | −0.849738 | + | 1.47179i | ||||
\(268\) | −7.59083 | −0.463684 | ||||||||
\(269\) | −9.29455 | + | 16.0986i | −0.566699 | + | 0.981551i | 0.430191 | + | 0.902738i | \(0.358446\pi\) |
−0.996889 | + | 0.0788127i | \(0.974887\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −2.91238 | − | 5.04439i | −0.176914 | − | 0.306425i | 0.763908 | − | 0.645326i | \(-0.223278\pi\) |
−0.940822 | + | 0.338901i | \(0.889945\pi\) | |||||||
\(272\) | 6.53876 | 0.396471 | ||||||||
\(273\) | 30.6386 | + | 10.9810i | 1.85433 | + | 0.664603i | ||||
\(274\) | 5.57417 | 0.336748 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −6.84927 | − | 11.8633i | −0.412278 | − | 0.714086i | ||||
\(277\) | −6.77017 | + | 11.7263i | −0.406780 | + | 0.704564i | −0.994527 | − | 0.104481i | \(-0.966682\pi\) |
0.587747 | + | 0.809045i | \(0.300015\pi\) | |||||||
\(278\) | 0.339738 | 0.0203761 | ||||||||
\(279\) | −8.02690 | + | 13.9030i | −0.480558 | + | 0.832351i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −0.464716 | −0.0277226 | −0.0138613 | − | 0.999904i | \(-0.504412\pi\) | ||||
−0.0138613 | + | 0.999904i | \(0.504412\pi\) | |||||||
\(282\) | 3.05885 | − | 5.29809i | 0.182152 | − | 0.315496i | ||||
\(283\) | −5.03022 | − | 8.71259i | −0.299015 | − | 0.517910i | 0.676896 | − | 0.736079i | \(-0.263325\pi\) |
−0.975911 | + | 0.218169i | \(0.929991\pi\) | |||||||
\(284\) | 4.95873 | + | 8.58877i | 0.294246 | + | 0.509649i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 2.95365 | − | 2.50329i | 0.174653 | − | 0.148022i | ||||
\(287\) | −9.32634 | −0.550516 | ||||||||
\(288\) | 7.82145 | + | 13.5471i | 0.460883 | + | 0.798273i | ||||
\(289\) | 6.60107 | + | 11.4334i | 0.388298 | + | 0.672553i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 14.1752 | 0.830967 | ||||||||
\(292\) | 5.16586 | − | 8.94752i | 0.302309 | − | 0.523614i | ||||
\(293\) | −6.72506 | + | 11.6481i | −0.392882 | + | 0.680492i | −0.992828 | − | 0.119548i | \(-0.961855\pi\) |
0.599946 | + | 0.800040i | \(0.295189\pi\) | |||||||
\(294\) | −3.78109 | −0.220518 | ||||||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 1.25419 | + | 2.17232i | 0.0728983 | + | 0.126264i | ||||
\(297\) | 5.44238 | + | 9.42647i | 0.315799 | + | 0.546979i | ||||
\(298\) | −5.24431 | −0.303795 | ||||||||
\(299\) | −1.73236 | − | 9.54958i | −0.100185 | − | 0.552266i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | 14.6498 | + | 25.3742i | 0.844401 | + | 1.46255i | ||||
\(302\) | 2.40608 | + | 4.16745i | 0.138454 | + | 0.239810i | ||||
\(303\) | −7.68581 | + | 13.3122i | −0.441538 | + | 0.764767i | ||||
\(304\) | −4.18002 | −0.239741 | ||||||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 1.36872 | − | 2.37068i | 0.0782442 | − | 0.135523i | ||||
\(307\) | 24.6077 | 1.40444 | 0.702219 | − | 0.711961i | \(-0.252193\pi\) | ||||
0.702219 | + | 0.711961i | \(0.252193\pi\) | |||||||
\(308\) | 10.2891 | − | 17.8212i | 0.586274 | − | 1.01546i | ||||
\(309\) | −9.91745 | − | 17.1775i | −0.564184 | − | 0.977196i | ||||
\(310\) | 0 | 0 | ||||||||
\(311\) | 2.43781 | 0.138236 | 0.0691178 | − | 0.997609i | \(-0.477982\pi\) | ||||
0.0691178 | + | 0.997609i | \(0.477982\pi\) | |||||||
\(312\) | 2.22978 | + | 12.2916i | 0.126236 | + | 0.695875i | ||||
\(313\) | −19.2965 | −1.09071 | −0.545353 | − | 0.838207i | \(-0.683604\pi\) | ||||
−0.545353 | + | 0.838207i | \(0.683604\pi\) | |||||||
\(314\) | −1.80653 | − | 3.12900i | −0.101948 | − | 0.176579i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | 13.0269 | − | 22.5633i | 0.732821 | − | 1.26928i | ||||
\(317\) | −28.8217 | −1.61879 | −0.809395 | − | 0.587265i | \(-0.800205\pi\) | ||||
−0.809395 | + | 0.587265i | \(0.800205\pi\) | |||||||
\(318\) | 5.71445 | − | 9.89771i | 0.320450 | − | 0.555036i | ||||
\(319\) | 4.86872 | − | 8.43286i | 0.272596 | − | 0.472150i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | 11.5404 | − | 19.9885i | 0.644120 | − | 1.11565i | ||||
\(322\) | 1.49321 | + | 2.58632i | 0.0832136 | + | 0.144130i | ||||
\(323\) | 1.21392 | + | 2.10258i | 0.0675445 | + | 0.116990i | ||||
\(324\) | 7.01492 | 0.389718 | ||||||||
\(325\) | 0 | 0 | ||||||||
\(326\) | −1.38217 | −0.0765512 | ||||||||
\(327\) | 11.4289 | + | 19.7954i | 0.632019 | + | 1.09469i | ||||
\(328\) | −1.78982 | − | 3.10006i | −0.0988264 | − | 0.171172i | ||||
\(329\) | 11.5185 | − | 19.9507i | 0.635037 | − | 1.09992i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 1.48655 | − | 2.57478i | 0.0817081 | − | 0.141522i | −0.822276 | − | 0.569089i | \(-0.807296\pi\) |
0.903984 | + | 0.427567i | \(0.140629\pi\) | |||||||
\(332\) | −8.14783 | + | 14.1125i | −0.447171 | + | 0.774522i | ||||
\(333\) | −8.27427 | −0.453427 | ||||||||
\(334\) | 0.554726 | − | 0.960814i | 0.0303533 | − | 0.0525734i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 15.1438 | + | 26.2299i | 0.826163 | + | 1.43096i | ||||
\(337\) | 1.90370 | 0.103701 | 0.0518505 | − | 0.998655i | \(-0.483488\pi\) | ||||
0.0518505 | + | 0.998655i | \(0.483488\pi\) | |||||||
\(338\) | −0.705107 | + | 4.24268i | −0.0383528 | + | 0.230771i | ||||
\(339\) | 19.7374 | 1.07199 | ||||||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 6.13636 | + | 10.6285i | 0.332302 | + | 0.575565i | ||||
\(342\) | −0.874976 | + | 1.51550i | −0.0473133 | + | 0.0819490i | ||||
\(343\) | 9.23611 | 0.498703 | ||||||||
\(344\) | −5.62291 | + | 9.73916i | −0.303167 | + | 0.525100i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 2.89055 | 0.155397 | ||||||||
\(347\) | 6.31735 | − | 10.9420i | 0.339133 | − | 0.587396i | −0.645137 | − | 0.764067i | \(-0.723200\pi\) |
0.984270 | + | 0.176671i | \(0.0565329\pi\) | |||||||
\(348\) | 7.63347 | + | 13.2216i | 0.409197 | + | 0.708750i | ||||
\(349\) | −4.48655 | − | 7.77093i | −0.240159 | − | 0.415968i | 0.720600 | − | 0.693351i | \(-0.243866\pi\) |
−0.960760 | + | 0.277383i | \(0.910533\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | −11.3822 | − | 4.07944i | −0.607535 | − | 0.217744i | ||||
\(352\) | 11.9586 | 0.637395 | ||||||||
\(353\) | 17.1252 | + | 29.6618i | 0.911484 | + | 1.57874i | 0.811969 | + | 0.583701i | \(0.198396\pi\) |
0.0995150 | + | 0.995036i | \(0.468271\pi\) | |||||||
\(354\) | −1.12890 | − | 1.95530i | −0.0600001 | − | 0.103923i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −19.5036 | −1.03369 | ||||||||
\(357\) | 8.79585 | − | 15.2349i | 0.465526 | − | 0.806315i | ||||
\(358\) | −2.97921 | + | 5.16014i | −0.157456 | + | 0.272722i | ||||
\(359\) | 22.4043 | 1.18245 | 0.591227 | − | 0.806505i | \(-0.298644\pi\) | ||||
0.591227 | + | 0.806505i | \(0.298644\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 8.72398 | + | 15.1104i | 0.459157 | + | 0.795283i | ||||
\(362\) | 0.172641 | + | 0.299023i | 0.00907381 | + | 0.0157163i | ||||
\(363\) | −1.25092 | −0.0656565 | ||||||||
\(364\) | 4.08016 | + | 22.4918i | 0.213858 | + | 1.17889i | ||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −3.33582 | − | 5.77781i | −0.174366 | − | 0.302011i | ||||
\(367\) | 6.59753 | + | 11.4273i | 0.344388 | + | 0.596498i | 0.985242 | − | 0.171165i | \(-0.0547530\pi\) |
−0.640854 | + | 0.767663i | \(0.721420\pi\) | |||||||
\(368\) | 4.51586 | − | 7.82169i | 0.235405 | − | 0.407734i | ||||
\(369\) | 11.8080 | 0.614700 | ||||||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 21.5185 | − | 37.2712i | 1.11719 | − | 1.93502i | ||||
\(372\) | −19.2419 | −0.997647 | ||||||||
\(373\) | 7.63070 | − | 13.2168i | 0.395103 | − | 0.684338i | −0.598012 | − | 0.801488i | \(-0.704042\pi\) |
0.993114 | + | 0.117149i | \(0.0373756\pi\) | |||||||
\(374\) | −1.04635 | − | 1.81233i | −0.0541053 | − | 0.0937131i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 8.84210 | 0.455997 | ||||||||
\(377\) | 1.93070 | + | 10.6430i | 0.0994362 | + | 0.548140i | ||||
\(378\) | 3.72052 | 0.191363 | ||||||||
\(379\) | −9.11453 | − | 15.7868i | −0.468182 | − | 0.810915i | 0.531157 | − | 0.847273i | \(-0.321757\pi\) |
−0.999339 | + | 0.0363588i | \(0.988424\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −12.3334 | + | 21.3621i | −0.631861 | + | 1.09442i | ||||
\(382\) | −8.44246 | −0.431954 | ||||||||
\(383\) | −0.720440 | + | 1.24784i | −0.0368128 | + | 0.0637616i | −0.883845 | − | 0.467780i | \(-0.845054\pi\) |
0.847032 | + | 0.531542i | \(0.178387\pi\) | |||||||
\(384\) | −12.3627 | + | 21.4129i | −0.630883 | + | 1.09272i | ||||
\(385\) | 0 | 0 | ||||||||
\(386\) | 3.27870 | − | 5.67888i | 0.166882 | − | 0.289048i | ||||
\(387\) | −18.5480 | − | 32.1261i | −0.942848 | − | 1.63306i | ||||
\(388\) | 4.97788 | + | 8.62194i | 0.252714 | + | 0.437713i | ||||
\(389\) | −18.7912 | −0.952754 | −0.476377 | − | 0.879241i | \(-0.658050\pi\) | ||||
−0.476377 | + | 0.879241i | \(0.658050\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −5.24581 | −0.265292 | ||||||||
\(392\) | −2.73247 | − | 4.73277i | −0.138010 | − | 0.239041i | ||||
\(393\) | −13.4590 | − | 23.3117i | −0.678918 | − | 1.17592i | ||||
\(394\) | −3.58163 | + | 6.20357i | −0.180440 | + | 0.312531i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | −13.0269 | + | 22.5633i | −0.654627 | + | 1.13385i | ||||
\(397\) | 8.54634 | − | 14.8027i | 0.428928 | − | 0.742926i | −0.567850 | − | 0.823132i | \(-0.692225\pi\) |
0.996778 | + | 0.0802063i | \(0.0255579\pi\) | |||||||
\(398\) | −6.03084 | −0.302298 | ||||||||
\(399\) | −5.62291 | + | 9.73916i | −0.281497 | + | 0.487568i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | −11.1011 | − | 19.2276i | −0.554361 | − | 0.960182i | −0.997953 | − | 0.0639527i | \(-0.979629\pi\) |
0.443592 | − | 0.896229i | \(-0.353704\pi\) | |||||||
\(402\) | −3.57568 | −0.178339 | ||||||||
\(403\) | −12.8336 | − | 4.59962i | −0.639285 | − | 0.229124i | ||||
\(404\) | −10.7960 | −0.537122 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −1.66418 | − | 2.88244i | −0.0825918 | − | 0.143053i | ||||
\(407\) | −3.16273 | + | 5.47801i | −0.156771 | + | 0.271535i | ||||
\(408\) | 6.75207 | 0.334277 | ||||||||
\(409\) | 4.81638 | − | 8.34221i | 0.238155 | − | 0.412496i | −0.722030 | − | 0.691862i | \(-0.756791\pi\) |
0.960185 | + | 0.279366i | \(0.0901242\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −45.3534 | −2.23712 | ||||||||
\(412\) | 6.96537 | − | 12.0644i | 0.343159 | − | 0.594369i | ||||
\(413\) | −4.25101 | − | 7.36296i | −0.209178 | − | 0.362308i | ||||
\(414\) | −1.89055 | − | 3.27452i | −0.0929153 | − | 0.160934i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −10.1340 | + | 8.58877i | −0.496859 | + | 0.421099i | ||||
\(417\) | −2.76423 | −0.135365 | ||||||||
\(418\) | 0.668896 | + | 1.15856i | 0.0327168 | + | 0.0566671i | ||||
\(419\) | 0.978168 | + | 1.69424i | 0.0477866 | + | 0.0827689i | 0.888929 | − | 0.458044i | \(-0.151450\pi\) |
−0.841143 | + | 0.540813i | \(0.818117\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | −12.0807 | −0.588778 | −0.294389 | − | 0.955686i | \(-0.595116\pi\) | ||||
−0.294389 | + | 0.955686i | \(0.595116\pi\) | |||||||
\(422\) | 3.19251 | − | 5.52959i | 0.155409 | − | 0.269176i | ||||
\(423\) | −14.5835 | + | 25.2594i | −0.709075 | + | 1.22815i | ||||
\(424\) | 16.5185 | 0.802210 | ||||||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 2.33582 | + | 4.04576i | 0.113171 | + | 0.196018i | ||||
\(427\) | −12.5615 | − | 21.7571i | −0.607893 | − | 1.05290i | ||||
\(428\) | 16.2104 | 0.783558 | ||||||||
\(429\) | −24.0320 | + | 20.3676i | −1.16027 | + | 0.983359i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | −12.2945 | − | 21.2948i | −0.592207 | − | 1.02573i | −0.993934 | − | 0.109974i | \(-0.964923\pi\) |
0.401727 | − | 0.915759i | \(-0.368410\pi\) | |||||||
\(432\) | −5.62590 | − | 9.74434i | −0.270676 | − | 0.468825i | ||||
\(433\) | 18.0364 | − | 31.2400i | 0.866775 | − | 1.50130i | 0.00150085 | − | 0.999999i | \(-0.499522\pi\) |
0.865274 | − | 0.501299i | \(-0.167144\pi\) | |||||||
\(434\) | 4.19495 | 0.201364 | ||||||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −8.02690 | + | 13.9030i | −0.384419 | + | 0.665833i | ||||
\(437\) | 3.35348 | 0.160419 | ||||||||
\(438\) | 2.43339 | − | 4.21475i | 0.116272 | − | 0.201389i | ||||
\(439\) | −1.26764 | − | 2.19562i | −0.0605013 | − | 0.104791i | 0.834188 | − | 0.551480i | \(-0.185937\pi\) |
−0.894690 | + | 0.446688i | \(0.852603\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 18.0269 | 0.858424 | ||||||||
\(442\) | 2.18833 | + | 0.784309i | 0.104088 | + | 0.0373058i | ||||
\(443\) | −19.3579 | −0.919721 | −0.459860 | − | 0.887991i | \(-0.652101\pi\) | ||||
−0.459860 | + | 0.887991i | \(0.652101\pi\) | |||||||
\(444\) | −4.95873 | − | 8.58877i | −0.235331 | − | 0.407605i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | −2.04635 | + | 3.54438i | −0.0968973 | + | 0.167831i | ||||
\(447\) | 42.6696 | 2.01820 | ||||||||
\(448\) | −9.20801 | + | 15.9487i | −0.435038 | + | 0.753507i | ||||
\(449\) | 12.4040 | − | 21.4844i | 0.585381 | − | 1.01391i | −0.409447 | − | 0.912334i | \(-0.634278\pi\) |
0.994828 | − | 0.101576i | \(-0.0323884\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 4.51345 | − | 7.81753i | 0.212530 | − | 0.368113i | ||||
\(452\) | 6.93114 | + | 12.0051i | 0.326013 | + | 0.564672i | ||||
\(453\) | −19.5767 | − | 33.9079i | −0.919795 | − | 1.59313i | ||||
\(454\) | −2.03888 | −0.0956896 | ||||||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −4.31638 | −0.202133 | ||||||||
\(457\) | −3.78374 | − | 6.55363i | −0.176996 | − | 0.306566i | 0.763854 | − | 0.645389i | \(-0.223305\pi\) |
−0.940850 | + | 0.338823i | \(0.889971\pi\) | |||||||
\(458\) | −4.46352 | − | 7.73105i | −0.208567 | − | 0.361248i | ||||
\(459\) | −3.26764 | + | 5.65972i | −0.152520 | + | 0.264173i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 6.17164 | − | 10.6896i | 0.287442 | − | 0.497864i | −0.685756 | − | 0.727831i | \(-0.740528\pi\) |
0.973198 | + | 0.229967i | \(0.0738618\pi\) | |||||||
\(462\) | 4.84669 | − | 8.39472i | 0.225489 | − | 0.390558i | ||||
\(463\) | 22.8578 | 1.06229 | 0.531146 | − | 0.847281i | \(-0.321762\pi\) | ||||
0.531146 | + | 0.847281i | \(0.321762\pi\) | |||||||
\(464\) | −5.03289 | + | 8.71723i | −0.233646 | + | 0.404687i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −0.136357 | − | 0.236178i | −0.00631664 | − | 0.0109407i | ||||
\(467\) | −15.2976 | −0.707889 | −0.353945 | − | 0.935266i | \(-0.615160\pi\) | ||||
−0.353945 | + | 0.935266i | \(0.615160\pi\) | |||||||
\(468\) | −5.16586 | − | 28.4766i | −0.238792 | − | 1.31633i | ||||
\(469\) | −13.4647 | −0.621743 | ||||||||
\(470\) | 0 | 0 | ||||||||
\(471\) | 14.6985 | + | 25.4586i | 0.677273 | + | 1.17307i | ||||
\(472\) | 1.63163 | − | 2.82606i | 0.0751017 | − | 0.130080i | ||||
\(473\) | −28.3589 | −1.30394 | ||||||||
\(474\) | 6.13636 | − | 10.6285i | 0.281852 | − | 0.488182i | ||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 12.3553 | 0.566303 | ||||||||
\(477\) | −27.2444 | + | 47.1887i | −1.24744 | + | 2.16062i | ||||
\(478\) | 0.661673 | + | 1.14605i | 0.0302642 | + | 0.0524192i | ||||
\(479\) | −12.1414 | − | 21.0296i | −0.554756 | − | 0.960866i | −0.997922 | − | 0.0644264i | \(-0.979478\pi\) |
0.443166 | − | 0.896439i | \(-0.353855\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.25419 | − | 6.91369i | −0.0571861 | − | 0.315237i | ||||
\(482\) | −7.50793 | −0.341977 | ||||||||
\(483\) | −12.1493 | − | 21.0433i | −0.552814 | − | 0.957501i | ||||
\(484\) | −0.439284 | − | 0.760862i | −0.0199674 | − | 0.0345846i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | 6.63276 | 0.300868 | ||||||||
\(487\) | −18.4441 | + | 31.9462i | −0.835783 | + | 1.44762i | 0.0576081 | + | 0.998339i | \(0.481653\pi\) |
−0.893391 | + | 0.449280i | \(0.851681\pi\) | |||||||
\(488\) | 4.82136 | − | 8.35085i | 0.218253 | − | 0.378025i | ||||
\(489\) | 11.2458 | 0.508553 | ||||||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 17.6767 | + | 30.6170i | 0.797739 | + | 1.38172i | 0.921085 | + | 0.389361i | \(0.127304\pi\) |
−0.123346 | + | 0.992364i | \(0.539363\pi\) | |||||||
\(492\) | 7.07647 | + | 12.2568i | 0.319032 | + | 0.552580i | ||||
\(493\) | 5.84642 | 0.263310 | ||||||||
\(494\) | −1.39893 | − | 0.501383i | −0.0629407 | − | 0.0225583i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −6.34328 | − | 10.9869i | −0.284822 | − | 0.493326i | ||||
\(497\) | 8.79585 | + | 15.2349i | 0.394548 | + | 0.683377i | ||||
\(498\) | −3.83806 | + | 6.64771i | −0.171988 | + | 0.297891i | ||||
\(499\) | 16.2189 | 0.726058 | 0.363029 | − | 0.931778i | \(-0.381743\pi\) | ||||
0.363029 | + | 0.931778i | \(0.381743\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | −4.51345 | + | 7.81753i | −0.201646 | + | 0.349261i | ||||
\(502\) | −6.29480 | −0.280950 | ||||||||
\(503\) | −10.1192 | + | 17.5270i | −0.451193 | + | 0.781489i | −0.998460 | − | 0.0554688i | \(-0.982335\pi\) |
0.547268 | + | 0.836958i | \(0.315668\pi\) | |||||||
\(504\) | 9.16326 | + | 15.8712i | 0.408164 | + | 0.706961i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −2.89055 | −0.128500 | ||||||||
\(507\) | 5.73700 | − | 34.5200i | 0.254789 | − | 1.53309i | ||||
\(508\) | −17.3244 | −0.768646 | ||||||||
\(509\) | 10.0185 | + | 17.3526i | 0.444063 | + | 0.769140i | 0.997986 | − | 0.0634276i | \(-0.0202032\pi\) |
−0.553923 | + | 0.832568i | \(0.686870\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 9.16326 | − | 15.8712i | 0.405359 | − | 0.702102i | ||||
\(512\) | −20.9992 | −0.928042 | ||||||||
\(513\) | 2.08890 | − | 3.61808i | 0.0922271 | − | 0.159742i | ||||
\(514\) | 0.349273 | − | 0.604959i | 0.0154058 | − | 0.0266836i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 22.2314 | − | 38.5060i | 0.978685 | − | 1.69513i | ||||
\(517\) | 11.1487 | + | 19.3101i | 0.490320 | + | 0.849259i | ||||
\(518\) | 1.08106 | + | 1.87244i | 0.0474988 | + | 0.0822704i | ||||
\(519\) | −23.5185 | −1.03235 | ||||||||
\(520\) | 0 | 0 | ||||||||
\(521\) | 16.0269 | 0.702151 | 0.351076 | − | 0.936347i | \(-0.385816\pi\) | ||||
0.351076 | + | 0.936347i | \(0.385816\pi\) | |||||||
\(522\) | 2.10700 | + | 3.64944i | 0.0922210 | + | 0.159732i | ||||
\(523\) | 5.86898 | + | 10.1654i | 0.256633 | + | 0.444501i | 0.965338 | − | 0.261004i | \(-0.0840536\pi\) |
−0.708705 | + | 0.705505i | \(0.750720\pi\) | |||||||
\(524\) | 9.45274 | − | 16.3726i | 0.412945 | − | 0.715241i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −4.94887 | + | 8.57170i | −0.215781 | + | 0.373744i | ||||
\(527\) | −3.68431 | + | 6.38142i | −0.160491 | + | 0.277979i | ||||
\(528\) | −29.3152 | −1.27578 | ||||||||
\(529\) | 7.87709 | − | 13.6435i | 0.342482 | − | 0.593197i | ||||
\(530\) | 0 | 0 | ||||||||
\(531\) | 5.38217 | + | 9.32219i | 0.233566 | + | 0.404548i | ||||
\(532\) | −7.89832 | −0.342436 | ||||||||
\(533\) | 1.78982 | + | 9.86635i | 0.0775258 | + | 0.427359i | ||||
\(534\) | −9.18722 | −0.397570 | ||||||||
\(535\) | 0 | 0 | ||||||||
\(536\) | −2.58402 | − | 4.47565i | −0.111613 | − | 0.193319i | ||||
\(537\) | 24.2399 | − | 41.9847i | 1.04603 | − | 1.81177i | ||||
\(538\) | −6.14995 | −0.265143 | ||||||||
\(539\) | 6.89055 | − | 11.9348i | 0.296797 | − | 0.514067i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −21.8080 | −0.937599 | −0.468800 | − | 0.883305i | \(-0.655313\pi\) | ||||
−0.468800 | + | 0.883305i | \(0.655313\pi\) | |||||||
\(542\) | 0.963521 | − | 1.66887i | 0.0413868 | − | 0.0716840i | ||||
\(543\) | −1.40467 | − | 2.43296i | −0.0602801 | − | 0.104408i | ||||
\(544\) | 3.59001 | + | 6.21808i | 0.153920 | + | 0.266598i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | 1.92197 | + | 10.5948i | 0.0822527 | + | 0.453416i | ||||
\(547\) | −6.30924 | −0.269764 | −0.134882 | − | 0.990862i | \(-0.543065\pi\) | ||||
−0.134882 | + | 0.990862i | \(0.543065\pi\) | |||||||
\(548\) | −15.9266 | − | 27.5858i | −0.680352 | − | 1.17840i | ||||
\(549\) | 15.9040 | + | 27.5465i | 0.678766 | + | 1.17566i | ||||
\(550\) | 0 | 0 | ||||||||
\(551\) | −3.73743 | −0.159220 | ||||||||
\(552\) | 4.66317 | − | 8.07684i | 0.198478 | − | 0.343773i | ||||
\(553\) | 23.1073 | − | 40.0230i | 0.982622 | − | 1.70195i | ||||
\(554\) | −4.47964 | −0.190322 | ||||||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −0.970706 | − | 1.68131i | −0.0411671 | − | 0.0713035i | ||||
\(557\) | −17.9189 | − | 31.0364i | −0.759247 | − | 1.31506i | −0.943235 | − | 0.332126i | \(-0.892234\pi\) |
0.183987 | − | 0.982929i | \(-0.441099\pi\) | |||||||
\(558\) | −5.31119 | −0.224840 | ||||||||
\(559\) | 24.0320 | − | 20.3676i | 1.01644 | − | 0.861459i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | 8.51345 | + | 14.7457i | 0.359438 | + | 0.622565i | ||||
\(562\) | −0.0768725 | − | 0.133147i | −0.00324267 | − | 0.00561647i | ||||
\(563\) | −2.50106 | + | 4.33196i | −0.105407 | + | 0.182570i | −0.913904 | − | 0.405929i | \(-0.866948\pi\) |
0.808497 | + | 0.588500i | \(0.200281\pi\) | |||||||
\(564\) | −34.9593 | −1.47205 | ||||||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 1.66418 | − | 2.88244i | 0.0699507 | − | 0.121158i | ||||
\(567\) | 12.4432 | 0.522564 | ||||||||
\(568\) | −3.37603 | + | 5.84746i | −0.141655 | + | 0.245354i | ||||
\(569\) | 6.58402 | + | 11.4039i | 0.276017 | + | 0.478075i | 0.970391 | − | 0.241539i | \(-0.0776522\pi\) |
−0.694375 | + | 0.719614i | \(0.744319\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 19.8349 | 0.830065 | 0.415032 | − | 0.909807i | \(-0.363770\pi\) | ||||
0.415032 | + | 0.909807i | \(0.363770\pi\) | |||||||
\(572\) | −20.8276 | − | 7.46475i | −0.870848 | − | 0.312117i | ||||
\(573\) | 68.6909 | 2.86960 | ||||||||
\(574\) | −1.54275 | − | 2.67212i | −0.0643930 | − | 0.111532i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | 11.6582 | − | 20.1926i | 0.485758 | − | 0.841357i | ||||
\(577\) | 10.9210 | 0.454646 | 0.227323 | − | 0.973819i | \(-0.427003\pi\) | ||||
0.227323 | + | 0.973819i | \(0.427003\pi\) | |||||||
\(578\) | −2.18388 | + | 3.78258i | −0.0908373 | + | 0.157335i | ||||
\(579\) | −26.6767 | + | 46.2054i | −1.10865 | + | 1.92023i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −14.4527 | + | 25.0329i | −0.599601 | + | 1.03854i | ||||
\(582\) | 2.34484 | + | 4.06139i | 0.0971969 | + | 0.168350i | ||||
\(583\) | 20.8276 | + | 36.0745i | 0.862593 | + | 1.49406i | ||||
\(584\) | 7.03411 | 0.291073 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −4.44979 | −0.183819 | ||||||||
\(587\) | −20.2247 | − | 35.0303i | −0.834764 | − | 1.44585i | −0.894222 | − | 0.447624i | \(-0.852270\pi\) |
0.0594576 | − | 0.998231i | \(-0.481063\pi\) | |||||||
\(588\) | 10.8034 | + | 18.7121i | 0.445526 | + | 0.771673i | ||||
\(589\) | 2.35526 | − | 4.07944i | 0.0970469 | − | 0.168090i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | 29.1414 | − | 50.4744i | 1.19872 | − | 2.07624i | ||||
\(592\) | 3.26938 | − | 5.66274i | 0.134371 | − | 0.232737i | ||||
\(593\) | 1.47709 | 0.0606569 | 0.0303284 | − | 0.999540i | \(-0.490345\pi\) | ||||
0.0303284 | + | 0.999540i | \(0.490345\pi\) | |||||||
\(594\) | −1.80054 | + | 3.11862i | −0.0738769 | + | 0.127959i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 14.9842 | + | 25.9533i | 0.613775 | + | 1.06309i | ||||
\(597\) | 49.0690 | 2.00826 | ||||||||
\(598\) | 2.44951 | − | 2.07602i | 0.100168 | − | 0.0848947i | ||||
\(599\) | 2.27271 | 0.0928606 | 0.0464303 | − | 0.998922i | \(-0.485215\pi\) | ||||
0.0464303 | + | 0.998922i | \(0.485215\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −3.70215 | − | 6.41231i | −0.151014 | − | 0.261563i | 0.780587 | − | 0.625048i | \(-0.214920\pi\) |
−0.931600 | + | 0.363484i | \(0.881587\pi\) | |||||||
\(602\) | −4.84669 | + | 8.39472i | −0.197536 | + | 0.342143i | ||||
\(603\) | 17.0476 | 0.694231 | ||||||||
\(604\) | 13.7494 | − | 23.8147i | 0.559456 | − | 0.969005i | ||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −5.08549 | −0.206584 | ||||||||
\(607\) | 5.34661 | − | 9.26059i | 0.217012 | − | 0.375876i | −0.736881 | − | 0.676022i | \(-0.763702\pi\) |
0.953893 | + | 0.300146i | \(0.0970356\pi\) | |||||||
\(608\) | −2.29498 | − | 3.97502i | −0.0930736 | − | 0.161208i | ||||
\(609\) | 13.5404 | + | 23.4526i | 0.548683 | + | 0.950347i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | −23.3164 | − | 8.35673i | −0.943280 | − | 0.338077i | ||||
\(612\) | −15.6429 | −0.632327 | ||||||||
\(613\) | −3.04075 | − | 5.26673i | −0.122815 | − | 0.212721i | 0.798062 | − | 0.602575i | \(-0.205859\pi\) |
−0.920877 | + | 0.389854i | \(0.872525\pi\) | |||||||
\(614\) | 4.07057 | + | 7.05043i | 0.164275 | + | 0.284532i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 14.0101 | 0.564485 | ||||||||
\(617\) | −15.9194 | + | 27.5732i | −0.640892 | + | 1.11006i | 0.344342 | + | 0.938844i | \(0.388102\pi\) |
−0.985234 | + | 0.171213i | \(0.945231\pi\) | |||||||
\(618\) | 3.28106 | − | 5.68295i | 0.131983 | − | 0.228602i | ||||
\(619\) | −26.4043 | −1.06128 | −0.530639 | − | 0.847598i | \(-0.678048\pi\) | ||||
−0.530639 | + | 0.847598i | \(0.678048\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 4.51345 | + | 7.81753i | 0.181119 | + | 0.313707i | ||||
\(622\) | 0.403259 | + | 0.698464i | 0.0161692 | + | 0.0280059i | ||||
\(623\) | −34.5957 | −1.38605 | ||||||||
\(624\) | 24.8424 | − | 21.0545i | 0.994491 | − | 0.842853i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | −3.19200 | − | 5.52871i | −0.127578 | − | 0.220972i | ||||
\(627\) | −5.44238 | − | 9.42647i | −0.217348 | − | 0.376457i | ||||
\(628\) | −10.3233 | + | 17.8805i | −0.411944 | + | 0.713509i | ||||
\(629\) | −3.79785 | −0.151430 | ||||||||
\(630\) | 0 | 0 | ||||||||
\(631\) | −17.5840 | + | 30.4564i | −0.700009 | + | 1.21245i | 0.268454 | + | 0.963293i | \(0.413487\pi\) |
−0.968463 | + | 0.249158i | \(0.919846\pi\) | |||||||
\(632\) | 17.7381 | 0.705585 | ||||||||
\(633\) | −25.9754 | + | 44.9907i | −1.03243 | + | 1.78822i | ||||
\(634\) | −4.76764 | − | 8.25780i | −0.189347 | − | 0.327959i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | −65.3098 | −2.58970 | ||||||||
\(637\) | 2.73247 | + | 15.0626i | 0.108264 | + | 0.596804i | ||||
\(638\) | 3.22150 | 0.127540 | ||||||||
\(639\) | −11.1364 | − | 19.2887i | −0.440547 | − | 0.763051i | ||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −2.76257 | + | 4.78491i | −0.109115 | + | 0.188993i | −0.915412 | − | 0.402518i | \(-0.868135\pi\) |
0.806297 | + | 0.591511i | \(0.201468\pi\) | |||||||
\(642\) | 7.63594 | 0.301367 | ||||||||
\(643\) | 16.0776 | − | 27.8472i | 0.634039 | − | 1.09819i | −0.352679 | − | 0.935744i | \(-0.614729\pi\) |
0.986718 | − | 0.162444i | \(-0.0519375\pi\) | |||||||
\(644\) | 8.53289 | − | 14.7794i | 0.336243 | − | 0.582390i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −0.401610 | + | 0.695609i | −0.0158011 | + | 0.0273684i | ||||
\(647\) | 6.89216 | + | 11.9376i | 0.270959 | + | 0.469314i | 0.969108 | − | 0.246638i | \(-0.0793260\pi\) |
−0.698149 | + | 0.715953i | \(0.745993\pi\) | |||||||
\(648\) | 2.38797 | + | 4.13609i | 0.0938085 | + | 0.162481i | ||||
\(649\) | 8.22905 | 0.323019 | ||||||||
\(650\) | 0 | 0 | ||||||||
\(651\) | −34.1316 | −1.33772 | ||||||||
\(652\) | 3.94916 | + | 6.84015i | 0.154661 | + | 0.267881i | ||||
\(653\) | −4.25101 | − | 7.36296i | −0.166355 | − | 0.288135i | 0.770781 | − | 0.637100i | \(-0.219866\pi\) |
−0.937136 | + | 0.348965i | \(0.886533\pi\) | |||||||
\(654\) | −3.78109 | + | 6.54905i | −0.147852 | + | 0.256088i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −4.66565 | + | 8.08115i | −0.182163 | + | 0.315516i | ||||
\(657\) | −11.6015 | + | 20.0944i | −0.452619 | + | 0.783959i | ||||
\(658\) | 7.62150 | 0.297117 | ||||||||
\(659\) | −2.02183 | + | 3.50192i | −0.0787594 | + | 0.136415i | −0.902715 | − | 0.430239i | \(-0.858429\pi\) |
0.823956 | + | 0.566654i | \(0.191763\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −15.6364 | − | 27.0830i | −0.608184 | − | 1.05341i | −0.991540 | − | 0.129805i | \(-0.958565\pi\) |
0.383356 | − | 0.923601i | \(-0.374768\pi\) | |||||||
\(662\) | 0.983609 | 0.0382290 | ||||||||
\(663\) | −17.8050 | − | 6.38142i | −0.691489 | − | 0.247834i | ||||
\(664\) | −11.0945 | −0.430551 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | −1.36872 | − | 2.37068i | −0.0530366 | − | 0.0918622i | ||||
\(667\) | 4.03771 | − | 6.99351i | 0.156341 | − | 0.270790i | ||||
\(668\) | −6.33991 | −0.245298 | ||||||||
\(669\) | 16.6498 | − | 28.8383i | 0.643719 | − | 1.11495i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 24.3164 | 0.938723 | ||||||||
\(672\) | −16.6290 | + | 28.8022i | −0.641477 | + | 1.11107i | ||||
\(673\) | 16.0370 | + | 27.7768i | 0.618179 | + | 1.07072i | 0.989818 | + | 0.142340i | \(0.0454627\pi\) |
−0.371639 | + | 0.928377i | \(0.621204\pi\) | |||||||
\(674\) | 0.314906 | + | 0.545433i | 0.0121297 | + | 0.0210093i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 23.0111 | − | 8.63282i | 0.885041 | − | 0.332031i | ||||
\(677\) | 14.2382 | 0.547220 | 0.273610 | − | 0.961841i | \(-0.411782\pi\) | ||||
0.273610 | + | 0.961841i | \(0.411782\pi\) | |||||||
\(678\) | 3.26493 | + | 5.65503i | 0.125389 | + | 0.217180i | ||||
\(679\) | 8.82983 | + | 15.2937i | 0.338858 | + | 0.586919i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 16.5891 | 0.635695 | ||||||||
\(682\) | −2.03013 | + | 3.51629i | −0.0777377 | + | 0.134646i | ||||
\(683\) | 12.8923 | − | 22.3302i | 0.493311 | − | 0.854440i | −0.506659 | − | 0.862146i | \(-0.669120\pi\) |
0.999970 | + | 0.00770647i | \(0.00245307\pi\) | |||||||
\(684\) | 10.0000 | 0.382360 | ||||||||
\(685\) | 0 | 0 | ||||||||
\(686\) | 1.52782 | + | 2.64626i | 0.0583325 | + | 0.101035i | ||||
\(687\) | 36.3168 | + | 62.9025i | 1.38557 | + | 2.39988i | ||||
\(688\) | 29.3152 | 1.11763 | ||||||||
\(689\) | −43.5589 | − | 15.6118i | −1.65946 | − | 0.594761i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 0.0218318 | + | 0.0378138i | 0.000830522 | + | 0.00143851i | 0.866440 | − | 0.499281i | \(-0.166402\pi\) |
−0.865610 | + | 0.500719i | \(0.833069\pi\) | |||||||
\(692\) | −8.25894 | − | 14.3049i | −0.313958 | − | 0.543791i | ||||
\(693\) | −23.1073 | + | 40.0230i | −0.877774 | + | 1.52035i | ||||
\(694\) | 4.18002 | 0.158671 | ||||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | −5.19707 | + | 9.00160i | −0.196995 | + | 0.341205i | ||||
\(697\) | 5.41982 | 0.205290 | ||||||||
\(698\) | 1.48431 | − | 2.57091i | 0.0561821 | − | 0.0973103i | ||||
\(699\) | 1.10945 | + | 1.92163i | 0.0419634 | + | 0.0726827i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | −14.5454 | −0.549373 | −0.274687 | − | 0.961534i | \(-0.588574\pi\) | ||||
−0.274687 | + | 0.961534i | \(0.588574\pi\) | |||||||
\(702\) | −0.714008 | − | 3.93595i | −0.0269485 | − | 0.148553i | ||||
\(703\) | 2.42785 | 0.0915679 | ||||||||
\(704\) | −8.91238 | − | 15.4367i | −0.335898 | − | 0.581792i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −5.66565 | + | 9.81320i | −0.213230 | + | 0.369325i | ||||
\(707\) | −19.1501 | −0.720214 | ||||||||
\(708\) | −6.45101 | + | 11.1735i | −0.242444 | + | 0.419925i | ||||
\(709\) | −9.81638 | + | 17.0025i | −0.368662 | + | 0.638541i | −0.989357 | − | 0.145511i | \(-0.953517\pi\) |
0.620695 | + | 0.784052i | \(0.286851\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −29.2560 | + | 50.6728i | −1.09718 | + | 1.90038i | ||||
\(712\) | −6.63929 | − | 11.4996i | −0.248818 | − | 0.430965i | ||||
\(713\) | 5.08898 | + | 8.81438i | 0.190584 | + | 0.330101i | ||||
\(714\) | 5.81998 | 0.217807 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | 34.0490 | 1.27247 | ||||||||
\(717\) | −5.38361 | − | 9.32468i | −0.201055 | − | 0.348237i | ||||
\(718\) | 3.70608 | + | 6.41912i | 0.138310 | + | 0.239559i | ||||
\(719\) | −23.7156 | + | 41.0766i | −0.884443 | + | 1.53190i | −0.0380914 | + | 0.999274i | \(0.512128\pi\) |
−0.846351 | + | 0.532625i | \(0.821206\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 12.3553 | − | 21.3999i | 0.460134 | − | 0.796976i | ||||
\(722\) | −2.88621 | + | 4.99906i | −0.107414 | + | 0.186046i | ||||
\(723\) | 61.0872 | 2.27186 | ||||||||
\(724\) | 0.986548 | − | 1.70875i | 0.0366648 | − | 0.0635052i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | −0.206926 | − | 0.358406i | −0.00767973 | − | 0.0133017i | ||||
\(727\) | 34.0951 | 1.26452 | 0.632259 | − | 0.774757i | \(-0.282128\pi\) | ||||
0.632259 | + | 0.774757i | \(0.282128\pi\) | |||||||
\(728\) | −11.8725 | + | 10.0622i | −0.440024 | + | 0.372931i | ||||
\(729\) | −42.8349 | −1.58648 | ||||||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −8.51345 | − | 14.7457i | −0.314881 | − | 0.545391i | ||||
\(732\) | −19.0624 | + | 33.0170i | −0.704565 | + | 1.22034i | ||||
\(733\) | −14.3920 | −0.531580 | −0.265790 | − | 0.964031i | \(-0.585633\pi\) | ||||
−0.265790 | + | 0.964031i | \(0.585633\pi\) | |||||||
\(734\) | −2.18270 | + | 3.78055i | −0.0805651 | + | 0.139543i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 9.91745 | 0.365562 | ||||||||
\(737\) | 6.51621 | − | 11.2864i | 0.240028 | − | 0.415740i | ||||
\(738\) | 1.95326 | + | 3.38314i | 0.0719004 | + | 0.124535i | ||||
\(739\) | 17.2240 | + | 29.8328i | 0.633594 | + | 1.09742i | 0.986811 | + | 0.161876i | \(0.0517545\pi\) |
−0.353217 | + | 0.935541i | \(0.614912\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 11.3822 | + | 4.07944i | 0.418134 | + | 0.149862i | ||||
\(742\) | 14.2382 | 0.522702 | ||||||||
\(743\) | −20.3567 | − | 35.2589i | −0.746816 | − | 1.29352i | −0.949342 | − | 0.314246i | \(-0.898248\pi\) |
0.202526 | − | 0.979277i | \(-0.435085\pi\) | |||||||
\(744\) | −6.55021 | − | 11.3453i | −0.240142 | − | 0.415939i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 5.04903 | 0.184858 | ||||||||
\(747\) | 18.2985 | − | 31.6939i | 0.669507 | − | 1.15962i | ||||
\(748\) | −5.97929 | + | 10.3564i | −0.218625 | + | 0.378669i | ||||
\(749\) | 28.7542 | 1.05066 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −16.2509 | − | 28.1474i | −0.593003 | − | 1.02711i | −0.993825 | − | 0.110956i | \(-0.964609\pi\) |
0.400822 | − | 0.916156i | \(-0.368725\pi\) | |||||||
\(752\) | −11.5247 | − | 19.9613i | −0.420261 | − | 0.727914i | ||||
\(753\) | 51.2167 | 1.86644 | ||||||||
\(754\) | −2.72997 | + | 2.31371i | −0.0994196 | + | 0.0842603i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | −10.6304 | − | 18.4123i | −0.386623 | − | 0.669650i | ||||
\(757\) | 6.51621 | + | 11.2864i | 0.236836 | + | 0.410211i | 0.959805 | − | 0.280669i | \(-0.0905564\pi\) |
−0.722969 | + | 0.690881i | \(0.757223\pi\) | |||||||
\(758\) | 3.01542 | − | 5.22286i | 0.109525 | − | 0.189703i | ||||
\(759\) | 23.5185 | 0.853668 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | 1.99493 | − | 3.45532i | 0.0723161 | − | 0.125255i | −0.827600 | − | 0.561318i | \(-0.810294\pi\) |
0.899916 | + | 0.436063i | \(0.143628\pi\) | |||||||
\(762\) | −8.16070 | −0.295631 | ||||||||
\(763\) | −14.2382 | + | 24.6613i | −0.515458 | + | 0.892800i | ||||
\(764\) | 24.1220 | + | 41.7805i | 0.872703 | + | 1.51157i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −0.476696 | −0.0172237 | ||||||||
\(767\) | −6.97348 | + | 5.91018i | −0.251798 | + | 0.213404i | ||||
\(768\) | 21.3847 | 0.771652 | ||||||||
\(769\) | −3.33343 | − | 5.77367i | −0.120207 | − | 0.208204i | 0.799642 | − | 0.600476i | \(-0.205022\pi\) |
−0.919849 | + | 0.392272i | \(0.871689\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −2.84181 | + | 4.92216i | −0.102345 | + | 0.177267i | ||||
\(772\) | −37.4720 | −1.34865 | ||||||||
\(773\) | −24.1675 | + | 41.8593i | −0.869244 | + | 1.50557i | −0.00647254 | + | 0.999979i | \(0.502060\pi\) |
−0.862771 | + | 0.505595i | \(0.831273\pi\) | |||||||
\(774\) | 6.13636 | − | 10.6285i | 0.220567 | − | 0.382033i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −3.38907 | + | 5.87005i | −0.121661 | + | 0.210723i | ||||
\(777\) | −8.79585 | − | 15.2349i | −0.315549 | − | 0.546548i | ||||
\(778\) | −3.10841 | − | 5.38393i | −0.111442 | − | 0.193023i | ||||
\(779\) | −3.46472 | −0.124136 | ||||||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −17.0269 | −0.609271 | ||||||||
\(782\) | −0.867753 | − | 1.50299i | −0.0310308 | − | 0.0537469i | ||||
\(783\) | −5.03022 | − | 8.71259i | −0.179765 | − | 0.311363i | ||||
\(784\) | −7.12291 | + | 12.3372i | −0.254389 | + | 0.440615i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | 4.45274 | − | 7.71236i | 0.158824 | − | 0.275091i | ||||
\(787\) | 13.9806 | − | 24.2151i | 0.498355 | − | 0.863176i | −0.501643 | − | 0.865074i | \(-0.667271\pi\) |
0.999998 | + | 0.00189876i | \(0.000604394\pi\) | |||||||
\(788\) | 40.9341 | 1.45822 | ||||||||
\(789\) | 40.2658 | − | 69.7424i | 1.43350 | − | 2.48290i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | 12.2945 | + | 21.2948i | 0.437144 | + | 0.757155i | ||||
\(792\) | −17.7381 | −0.630297 | ||||||||
\(793\) | −20.6062 | + | 17.4642i | −0.731749 | + | 0.620174i | ||||
\(794\) | 5.65488 | 0.200684 | ||||||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 17.2314 | + | 29.8457i | 0.610752 | + | 1.05785i | ||||
\(797\) | −18.6212 | + | 32.2529i | −0.659597 | + | 1.14246i | 0.321123 | + | 0.947038i | \(0.395940\pi\) |
−0.980720 | + | 0.195418i | \(0.937393\pi\) | |||||||
\(798\) | −3.72052 | −0.131705 | ||||||||
\(799\) | −6.69377 | + | 11.5939i | −0.236808 | + | 0.410164i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | 43.8014 | 1.54765 | ||||||||
\(802\) | 3.67264 | − | 6.36120i | 0.129685 | − | 0.224622i | ||||
\(803\) | 8.86907 | + | 15.3617i | 0.312983 | + | 0.542102i | ||||
\(804\) | 10.2165 | + | 17.6955i | 0.360309 | + | 0.624073i | ||||
\(805\) | 0 | 0 | ||||||||
\(806\) | −0.805054 | − | 4.43784i | −0.0283568 | − | 0.156316i | ||||
\(807\) | 50.0382 | 1.76143 | ||||||||
\(808\) | −3.67511 | − | 6.36548i | −0.129290 | − | 0.223937i | ||||
\(809\) | −7.26434 | − | 12.5822i | −0.255400 | − | 0.442367i | 0.709604 | − | 0.704601i | \(-0.248874\pi\) |
−0.965004 | + | 0.262234i | \(0.915541\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 44.0538 | 1.54694 | 0.773469 | − | 0.633834i | \(-0.218520\pi\) | ||||
0.773469 | + | 0.633834i | \(0.218520\pi\) | |||||||
\(812\) | −9.50986 | + | 16.4716i | −0.333731 | + | 0.578039i | ||||
\(813\) | −7.83955 | + | 13.5785i | −0.274945 | + | 0.476219i | ||||
\(814\) | −2.09269 | −0.0733489 | ||||||||
\(815\) | 0 | 0 | ||||||||
\(816\) | −8.80054 | − | 15.2430i | −0.308080 | − | 0.533611i | ||||
\(817\) | 5.44238 | + | 9.42647i | 0.190405 | + | 0.329790i | ||||
\(818\) | 3.18687 | 0.111426 | ||||||||
\(819\) | −9.16326 | − | 50.5123i | −0.320190 | − | 1.76504i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −13.5135 | − | 23.4060i | −0.471623 | − | 0.816875i | 0.527850 | − | 0.849337i | \(-0.322998\pi\) |
−0.999473 | + | 0.0324629i | \(0.989665\pi\) | |||||||
\(822\) | −7.50229 | − | 12.9943i | −0.261672 | − | 0.453230i | ||||
\(823\) | 19.7981 | − | 34.2914i | 0.690120 | − | 1.19532i | −0.281679 | − | 0.959509i | \(-0.590891\pi\) |
0.971798 | − | 0.235814i | \(-0.0757755\pi\) | |||||||
\(824\) | 9.48442 | 0.330405 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 1.40639 | − | 2.43594i | 0.0489345 | − | 0.0847571i | ||||
\(827\) | −26.5639 | −0.923716 | −0.461858 | − | 0.886954i | \(-0.652817\pi\) | ||||
−0.461858 | + | 0.886954i | \(0.652817\pi\) | |||||||
\(828\) | −10.8034 | + | 18.7121i | −0.375445 | + | 0.650290i | ||||
\(829\) | −6.99162 | − | 12.1098i | −0.242829 | − | 0.420592i | 0.718690 | − | 0.695331i | \(-0.244742\pi\) |
−0.961519 | + | 0.274738i | \(0.911409\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | 36.4480 | 1.26437 | ||||||||
\(832\) | 18.6393 | + | 6.68044i | 0.646202 | + | 0.231603i | ||||
\(833\) | 8.27427 | 0.286686 | ||||||||
\(834\) | −0.457254 | − | 0.791986i | −0.0158334 | − | 0.0274242i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | 3.82237 | − | 6.62054i | 0.132199 | − | 0.228976i | ||||
\(837\) | 12.6798 | 0.438278 | ||||||||
\(838\) | −0.323614 | + | 0.560515i | −0.0111791 | + | 0.0193627i | ||||
\(839\) | −7.19707 | + | 12.4657i | −0.248471 | + | 0.430364i | −0.963102 | − | 0.269138i | \(-0.913261\pi\) |
0.714631 | + | 0.699502i | \(0.246595\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 10.0000 | − | 17.3205i | 0.344828 | − | 0.597259i | ||||
\(842\) | −1.99837 | − | 3.46128i | −0.0688684 | − | 0.119284i | ||||
\(843\) | 0.625462 | + | 1.08333i | 0.0215421 | + | 0.0373119i | ||||
\(844\) | −36.4868 | −1.25593 | ||||||||
\(845\) | 0 | 0 | ||||||||
\(846\) | −9.64952 | −0.331757 | ||||||||
\(847\) | −0.779207 | − | 1.34963i | −0.0267739 | − | 0.0463737i | ||||
\(848\) | −21.5300 | − | 37.2910i | −0.739343 | − | 1.28058i | ||||
\(849\) | −13.5404 | + | 23.4526i | −0.464704 | + | 0.804891i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | −2.62291 | + | 4.54300i | −0.0899120 | + | 0.155732i | ||||
\(852\) | 13.3479 | − | 23.1193i | 0.457292 | − | 0.792053i | ||||
\(853\) | −27.2633 | −0.933478 | −0.466739 | − | 0.884395i | \(-0.654571\pi\) | ||||
−0.466739 | + | 0.884395i | \(0.654571\pi\) | |||||||
\(854\) | 4.15580 | − | 7.19806i | 0.142209 | − | 0.246312i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 5.51823 | + | 9.55786i | 0.188609 | + | 0.326681i | ||||
\(857\) | −50.6201 | −1.72915 | −0.864575 | − | 0.502503i | \(-0.832413\pi\) | ||||
−0.864575 | + | 0.502503i | \(0.832413\pi\) | |||||||
\(858\) | −9.81092 | − | 3.51629i | −0.334939 | − | 0.120044i | ||||
\(859\) | 1.27992 | 0.0436702 | 0.0218351 | − | 0.999762i | \(-0.493049\pi\) | ||||
0.0218351 | + | 0.999762i | \(0.493049\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 12.5523 | + | 21.7413i | 0.427782 | + | 0.740941i | ||||
\(862\) | 4.06749 | − | 7.04509i | 0.138539 | − | 0.239957i | ||||
\(863\) | 8.38448 | 0.285411 | 0.142706 | − | 0.989765i | \(-0.454420\pi\) | ||||
0.142706 | + | 0.989765i | \(0.454420\pi\) | |||||||
\(864\) | 6.17763 | − | 10.7000i | 0.210167 | − | 0.364020i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | 11.9342 | 0.405541 | ||||||||
\(867\) | 17.7688 | − | 30.7765i | 0.603460 | − | 1.04522i | ||||
\(868\) | −11.9859 | − | 20.7602i | −0.406828 | − | 0.704646i | ||||
\(869\) | 22.3654 | + | 38.7380i | 0.758695 | + | 1.31410i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | 2.58402 | + | 14.2443i | 0.0875562 | + | 0.482651i | ||||
\(872\) | −10.9299 | −0.370132 | ||||||||
\(873\) | −11.1794 | − | 19.3632i | −0.378365 | − | 0.655347i | ||||
\(874\) | 0.554726 | + | 0.960814i | 0.0187639 | + | 0.0325000i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −27.8109 | −0.939645 | ||||||||
\(877\) | 27.9431 | − | 48.3989i | 0.943572 | − | 1.63431i | 0.184985 | − | 0.982741i | \(-0.440776\pi\) |
0.758586 | − | 0.651573i | \(-0.225890\pi\) | |||||||
\(878\) | 0.419382 | − | 0.726391i | 0.0141535 | − | 0.0245145i | ||||
\(879\) | 36.2051 | 1.22117 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | −12.5975 | − | 21.8195i | −0.424420 | − | 0.735116i | 0.571946 | − | 0.820291i | \(-0.306189\pi\) |
−0.996366 | + | 0.0851746i | \(0.972855\pi\) | |||||||
\(882\) | 2.98198 | + | 5.16494i | 0.100408 | + | 0.173913i | ||||
\(883\) | −30.7868 | −1.03606 | −0.518029 | − | 0.855363i | \(-0.673334\pi\) | ||||
−0.518029 | + | 0.855363i | \(0.673334\pi\) | |||||||
\(884\) | −2.37110 | − | 13.0707i | −0.0797489 | − | 0.439614i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −3.20215 | − | 5.54628i | −0.107578 | − | 0.186331i | ||||
\(887\) | 6.23603 | + | 10.8011i | 0.209385 | + | 0.362666i | 0.951521 | − | 0.307584i | \(-0.0995204\pi\) |
−0.742136 | + | 0.670250i | \(0.766187\pi\) | |||||||
\(888\) | 3.37603 | − | 5.84746i | 0.113292 | − | 0.196228i | ||||
\(889\) | −30.7302 | −1.03066 | ||||||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −6.02183 | + | 10.4301i | −0.201739 | + | 0.349422i | ||||
\(892\) | 23.3875 | 0.783071 | ||||||||
\(893\) | 4.27911 | − | 7.41163i | 0.143195 | − | 0.248021i | ||||
\(894\) | 7.05833 | + | 12.2254i | 0.236066 | + | 0.408878i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −30.8032 | −1.02906 | ||||||||
\(897\) | −19.9301 | + | 16.8912i | −0.665447 | + | 0.563981i | ||||
\(898\) | 8.20739 | 0.273884 | ||||||||
\(899\) | −5.67164 | − | 9.82357i | −0.189160 | − | 0.327634i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −12.5051 | + | 21.6594i | −0.416604 | + | 0.721580i | ||||
\(902\) | 2.98643 | 0.0994372 | ||||||||
\(903\) | 39.4344 | − | 68.3024i | 1.31230 | − | 2.27296i | ||||
\(904\) | −4.71891 | + | 8.17338i | −0.156948 | + | 0.271843i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 6.47670 | − | 11.2180i | 0.215174 | − | 0.372692i | ||||
\(907\) | 19.4455 | + | 33.6807i | 0.645678 | + | 1.11835i | 0.984144 | + | 0.177369i | \(0.0567587\pi\) |
−0.338466 | + | 0.940979i | \(0.609908\pi\) | |||||||
\(908\) | 5.82555 | + | 10.0901i | 0.193328 | + | 0.334853i | ||||
\(909\) | 24.2458 | 0.804183 | ||||||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 0.165096 | 0.00546989 | 0.00273494 | − | 0.999996i | \(-0.499129\pi\) | ||||
0.00273494 | + | 0.999996i | \(0.499129\pi\) | |||||||
\(912\) | 5.62590 | + | 9.74434i | 0.186292 | + | 0.322667i | ||||
\(913\) | −13.9887 | − | 24.2292i | −0.462959 | − | 0.801868i | ||||
\(914\) | 1.25180 | − | 2.16818i | 0.0414059 | − | 0.0717171i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −25.5065 | + | 44.1786i | −0.842760 | + | 1.45970i | ||||
\(917\) | 16.7674 | − | 29.0420i | 0.553708 | − | 0.959050i | ||||
\(918\) | −2.16211 | −0.0713603 | ||||||||
\(919\) | −0.447663 | + | 0.775375i | −0.0147670 | + | 0.0255773i | −0.873314 | − | 0.487157i | \(-0.838034\pi\) |
0.858547 | + | 0.512734i | \(0.171367\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −33.1196 | − | 57.3648i | −1.09133 | − | 1.89024i | ||||
\(922\) | 4.08361 | 0.134486 | ||||||||
\(923\) | 14.4290 | − | 12.2289i | 0.474935 | − | 0.402518i | ||||
\(924\) | −55.3923 | −1.82227 | ||||||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 3.78109 | + | 6.54905i | 0.124254 | + | 0.215215i | ||||
\(927\) | −15.6429 | + | 27.0943i | −0.513780 | + | 0.889893i | ||||
\(928\) | −11.0529 | −0.362831 | ||||||||
\(929\) | 6.14474 | − | 10.6430i | 0.201602 | − | 0.349185i | −0.747443 | − | 0.664326i | \(-0.768718\pi\) |
0.949045 | + | 0.315141i | \(0.102052\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −5.28947 | −0.173356 | ||||||||
\(932\) | −0.779207 | + | 1.34963i | −0.0255238 | + | 0.0442085i | ||||
\(933\) | −3.28106 | − | 5.68295i | −0.107417 | − | 0.186052i | ||||
\(934\) | −2.53051 | − | 4.38296i | −0.0828007 | − | 0.143415i | ||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 15.0317 | − | 12.7397i | 0.491326 | − | 0.416410i | ||||
\(937\) | −5.77242 | −0.188577 | −0.0942884 | − | 0.995545i | \(-0.530058\pi\) | ||||
−0.0942884 | + | 0.995545i | \(0.530058\pi\) | |||||||
\(938\) | −2.22731 | − | 3.85781i | −0.0727242 | − | 0.125962i | ||||
\(939\) | 25.9713 | + | 44.9835i | 0.847540 | + | 1.46798i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | −55.8887 | −1.82192 | −0.910960 | − | 0.412495i | \(-0.864658\pi\) | ||||
−0.910960 | + | 0.412495i | \(0.864658\pi\) | |||||||
\(942\) | −4.86282 | + | 8.42264i | −0.158439 | + | 0.274425i | ||||
\(943\) | 3.74308 | − | 6.48321i | 0.121891 | − | 0.211122i | ||||
\(944\) | −8.50655 | −0.276864 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −4.69108 | − | 8.12520i | −0.152520 | − | 0.264173i | ||||
\(947\) | 0.948188 | + | 1.64231i | 0.0308120 | + | 0.0533679i | 0.881020 | − | 0.473079i | \(-0.156857\pi\) |
−0.850208 | + | 0.526447i | \(0.823524\pi\) | |||||||
\(948\) | −70.1318 | −2.27777 | ||||||||
\(949\) | −18.5487 | − | 6.64798i | −0.602117 | − | 0.215802i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 38.7912 | + | 67.1884i | 1.25789 | + | 2.17873i | ||||
\(952\) | 4.20590 | + | 7.28483i | 0.136314 | + | 0.236103i | ||||
\(953\) | −16.8262 | + | 29.1438i | −0.545053 | + | 0.944059i | 0.453551 | + | 0.891230i | \(0.350157\pi\) |
−0.998604 | + | 0.0528285i | \(0.983176\pi\) | |||||||
\(954\) | −18.0269 | −0.583643 | ||||||||
\(955\) | 0 | 0 | ||||||||
\(956\) | 3.78109 | − | 6.54905i | 0.122289 | − | 0.211811i | ||||
\(957\) | −26.2113 | −0.847290 | ||||||||
\(958\) | 4.01683 | − | 6.95735i | 0.129778 | − | 0.224782i | ||||
\(959\) | −28.2509 | − | 48.9320i | −0.912269 | − | 1.58010i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | −16.7033 | −0.538817 | ||||||||
\(962\) | 1.77339 | − | 1.50299i | 0.0571765 | − | 0.0484584i | ||||
\(963\) | −36.4054 | −1.17315 | ||||||||
\(964\) | 21.4518 | + | 37.1556i | 0.690917 | + | 1.19670i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 4.01944 | − | 6.96188i | 0.129323 | − | 0.223995i | ||||
\(967\) | −23.0493 | −0.741216 | −0.370608 | − | 0.928789i | \(-0.620851\pi\) | ||||
−0.370608 | + | 0.928789i | \(0.620851\pi\) | |||||||
\(968\) | 0.299076 | − | 0.518015i | 0.00961267 | − | 0.0166496i | ||||
\(969\) | 3.26764 | − | 5.65972i | 0.104972 | − | 0.181816i | ||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −7.45964 | + | 12.9205i | −0.239391 | + | 0.414638i | −0.960540 | − | 0.278143i | \(-0.910281\pi\) |
0.721148 | + | 0.692781i | \(0.243615\pi\) | |||||||
\(972\) | −18.9513 | − | 32.8246i | −0.607862 | − | 1.05285i | ||||
\(973\) | −1.72185 | − | 2.98233i | −0.0552000 | − | 0.0956092i | ||||
\(974\) | −12.2040 | −0.391041 | ||||||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −25.1364 | −0.804595 | ||||||||
\(977\) | 11.6821 | + | 20.2339i | 0.373742 | + | 0.647341i | 0.990138 | − | 0.140096i | \(-0.0447411\pi\) |
−0.616396 | + | 0.787437i | \(0.711408\pi\) | |||||||
\(978\) | 1.86026 | + | 3.22207i | 0.0594846 | + | 0.103030i | ||||
\(979\) | 16.7425 | − | 28.9989i | 0.535093 | − | 0.926808i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 18.0269 | − | 31.2235i | 0.575555 | − | 0.996890i | ||||
\(982\) | −5.84810 | + | 10.1292i | −0.186620 | + | 0.323236i | ||||
\(983\) | 5.31119 | 0.169401 | 0.0847003 | − | 0.996406i | \(-0.473007\pi\) | ||||
0.0847003 | + | 0.996406i | \(0.473007\pi\) | |||||||
\(984\) | −4.81785 | + | 8.34476i | −0.153587 | + | 0.266021i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | 0.967105 | + | 1.67508i | 0.0307989 | + | 0.0533453i | ||||
\(987\) | −62.0112 | −1.97384 | ||||||||
\(988\) | 1.51577 | + | 8.35565i | 0.0482231 | + | 0.265829i | ||||
\(989\) | −23.5185 | −0.747846 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 12.0440 | + | 20.8607i | 0.382589 | + | 0.662663i | 0.991432 | − | 0.130628i | \(-0.0416992\pi\) |
−0.608843 | + | 0.793291i | \(0.708366\pi\) | |||||||
\(992\) | 6.96537 | − | 12.0644i | 0.221151 | − | 0.383044i | ||||
\(993\) | −8.00299 | −0.253967 | ||||||||
\(994\) | −2.90999 | + | 5.04025i | −0.0922993 | + | 0.159867i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 43.8648 | 1.38991 | ||||||||
\(997\) | −10.2050 | + | 17.6755i | −0.323195 | + | 0.559790i | −0.981145 | − | 0.193271i | \(-0.938090\pi\) |
0.657951 | + | 0.753061i | \(0.271424\pi\) | |||||||
\(998\) | 2.68290 | + | 4.64692i | 0.0849258 | + | 0.147096i | ||||
\(999\) | 3.26764 | + | 5.65972i | 0.103384 | + | 0.179066i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))