Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [360,2,Mod(229,360)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(360, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([0, 3, 2, 3]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("360.229");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 360 = 2^{3} \cdot 3^{2} \cdot 5 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 360.bk (of order \(6\), 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: | \(2.87461447277\) |
Analytic rank: | \(0\) |
Dimension: | \(136\) |
Relative dimension: | \(68\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 229.16 | ||
Character | \(\chi\) | \(=\) | 360.229 |
Dual form | 360.2.bk.a.349.16 |
$q$-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 \(\left(\mathbb{Z}/360\mathbb{Z}\right)^\times\).
\(n\) | \(181\) | \(217\) | \(271\) | \(281\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.04987 | − | 0.947511i | −0.742369 | − | 0.669991i | ||||
\(3\) | −1.58768 | + | 0.692297i | −0.916647 | + | 0.399698i | ||||
\(4\) | 0.204446 | + | 1.98952i | 0.102223 | + | 0.994762i | ||||
\(5\) | 0.371573 | + | 2.20498i | 0.166173 | + | 0.986097i | ||||
\(6\) | 2.32281 | + | 0.777522i | 0.948284 | + | 0.317422i | ||||
\(7\) | 1.08980 | − | 0.629197i | 0.411906 | − | 0.237814i | −0.279702 | − | 0.960087i | \(-0.590236\pi\) |
0.691608 | + | 0.722273i | \(0.256902\pi\) | |||||||
\(8\) | 1.67045 | − | 2.28245i | 0.590594 | − | 0.806968i | ||||
\(9\) | 2.04145 | − | 2.19829i | 0.680483 | − | 0.732764i | ||||
\(10\) | 1.69914 | − | 2.66701i | 0.537315 | − | 0.843382i | ||||
\(11\) | −3.87308 | + | 2.23612i | −1.16778 | + | 0.674216i | −0.953155 | − | 0.302481i | \(-0.902185\pi\) |
−0.214621 | + | 0.976697i | \(0.568852\pi\) | |||||||
\(12\) | −1.70194 | − | 3.01719i | −0.491307 | − | 0.870987i | ||||
\(13\) | 0.185906 | − | 0.321998i | 0.0515609 | − | 0.0893061i | −0.839093 | − | 0.543988i | \(-0.816914\pi\) |
0.890654 | + | 0.454682i | \(0.150247\pi\) | |||||||
\(14\) | −1.74032 | − | 0.372025i | −0.465120 | − | 0.0994278i | ||||
\(15\) | −2.11644 | − | 3.24356i | −0.546463 | − | 0.837483i | ||||
\(16\) | −3.91640 | + | 0.813500i | −0.979101 | + | 0.203375i | ||||
\(17\) | 6.15264i | 1.49224i | 0.665814 | + | 0.746118i | \(0.268084\pi\) | ||||
−0.665814 | + | 0.746118i | \(0.731916\pi\) | |||||||
\(18\) | −4.22616 | + | 0.373622i | −0.996115 | + | 0.0880635i | ||||
\(19\) | − | 2.88248i | − | 0.661286i | −0.943756 | − | 0.330643i | \(-0.892734\pi\) | ||
0.943756 | − | 0.330643i | \(-0.107266\pi\) | |||||||
\(20\) | −4.31089 | + | 1.19005i | −0.963944 | + | 0.266104i | ||||
\(21\) | −1.29466 | + | 1.75343i | −0.282519 | + | 0.382630i | ||||
\(22\) | 6.18497 | + | 1.32215i | 1.31864 | + | 0.281883i | ||||
\(23\) | −3.76390 | − | 2.17309i | −0.784828 | − | 0.453121i | 0.0533108 | − | 0.998578i | \(-0.483023\pi\) |
−0.838139 | + | 0.545457i | \(0.816356\pi\) | |||||||
\(24\) | −1.07201 | + | 4.78025i | −0.218823 | + | 0.975765i | ||||
\(25\) | −4.72387 | + | 1.63862i | −0.944773 | + | 0.327725i | ||||
\(26\) | −0.500273 | + | 0.161908i | −0.0981115 | + | 0.0317527i | ||||
\(27\) | −1.71929 | + | 4.90347i | −0.330878 | + | 0.943673i | ||||
\(28\) | 1.47461 | + | 2.03955i | 0.278675 | + | 0.385438i | ||||
\(29\) | −6.05317 | + | 3.49480i | −1.12404 | + | 0.648968i | −0.942430 | − | 0.334402i | \(-0.891466\pi\) |
−0.181614 | + | 0.983370i | \(0.558132\pi\) | |||||||
\(30\) | −0.851325 | + | 5.41066i | −0.155430 | + | 0.987847i | ||||
\(31\) | −3.69538 | + | 6.40059i | −0.663710 | + | 1.14958i | 0.315923 | + | 0.948785i | \(0.397686\pi\) |
−0.979633 | + | 0.200795i | \(0.935647\pi\) | |||||||
\(32\) | 4.88251 | + | 2.85677i | 0.863114 | + | 0.505010i | ||||
\(33\) | 4.60114 | − | 6.23156i | 0.800956 | − | 1.08478i | ||||
\(34\) | 5.82970 | − | 6.45946i | 0.999785 | − | 1.10779i | ||||
\(35\) | 1.79231 | + | 2.16920i | 0.302955 | + | 0.366661i | ||||
\(36\) | 4.79092 | + | 3.61208i | 0.798486 | + | 0.602013i | ||||
\(37\) | 6.86426 | 1.12848 | 0.564238 | − | 0.825612i | \(-0.309170\pi\) | ||||
0.564238 | + | 0.825612i | \(0.309170\pi\) | |||||||
\(38\) | −2.73118 | + | 3.02622i | −0.443056 | + | 0.490918i | ||||
\(39\) | −0.0722400 | + | 0.639931i | −0.0115677 | + | 0.102471i | ||||
\(40\) | 5.65345 | + | 2.83522i | 0.893890 | + | 0.448287i | ||||
\(41\) | 3.78603 | − | 6.55760i | 0.591279 | − | 1.02413i | −0.402781 | − | 0.915296i | \(-0.631957\pi\) |
0.994060 | − | 0.108829i | \(-0.0347101\pi\) | |||||||
\(42\) | 3.02062 | − | 0.614162i | 0.466092 | − | 0.0947673i | ||||
\(43\) | −0.759922 | − | 1.31622i | −0.115887 | − | 0.200722i | 0.802247 | − | 0.596992i | \(-0.203638\pi\) |
−0.918134 | + | 0.396270i | \(0.870304\pi\) | |||||||
\(44\) | −5.24065 | − | 7.24841i | −0.790058 | − | 1.09274i | ||||
\(45\) | 5.60574 | + | 3.68452i | 0.835654 | + | 0.549257i | ||||
\(46\) | 1.89257 | + | 5.84780i | 0.279045 | + | 0.862210i | ||||
\(47\) | −7.58643 | + | 4.38003i | −1.10659 | + | 0.638893i | −0.937945 | − | 0.346784i | \(-0.887274\pi\) |
−0.168649 | + | 0.985676i | \(0.553941\pi\) | |||||||
\(48\) | 5.65481 | − | 4.00289i | 0.816201 | − | 0.577768i | ||||
\(49\) | −2.70822 | + | 4.69078i | −0.386889 | + | 0.670111i | ||||
\(50\) | 6.51205 | + | 2.75558i | 0.920943 | + | 0.389697i | ||||
\(51\) | −4.25946 | − | 9.76842i | −0.596444 | − | 1.36785i | ||||
\(52\) | 0.678630 | + | 0.304032i | 0.0941090 | + | 0.0421617i | ||||
\(53\) | −7.26213 | −0.997530 | −0.498765 | − | 0.866737i | \(-0.666213\pi\) | ||||
−0.498765 | + | 0.866737i | \(0.666213\pi\) | |||||||
\(54\) | 6.45112 | − | 3.51895i | 0.877887 | − | 0.478868i | ||||
\(55\) | −6.36973 | − | 7.70917i | −0.858895 | − | 1.03950i | ||||
\(56\) | 0.384350 | − | 3.53846i | 0.0513610 | − | 0.472847i | ||||
\(57\) | 1.99553 | + | 4.57645i | 0.264315 | + | 0.606165i | ||||
\(58\) | 9.66638 | + | 2.06637i | 1.26926 | + | 0.271327i | ||||
\(59\) | −0.700805 | − | 0.404610i | −0.0912370 | − | 0.0526757i | 0.453687 | − | 0.891161i | \(-0.350108\pi\) |
−0.544924 | + | 0.838485i | \(0.683442\pi\) | |||||||
\(60\) | 6.02044 | − | 4.87384i | 0.777235 | − | 0.629210i | ||||
\(61\) | −4.18952 | + | 2.41882i | −0.536413 | + | 0.309698i | −0.743624 | − | 0.668598i | \(-0.766895\pi\) |
0.207211 | + | 0.978296i | \(0.433561\pi\) | |||||||
\(62\) | 9.94429 | − | 3.21836i | 1.26293 | − | 0.408732i | ||||
\(63\) | 0.841614 | − | 3.68017i | 0.106033 | − | 0.463658i | ||||
\(64\) | −2.41917 | − | 7.62546i | −0.302396 | − | 0.953182i | ||||
\(65\) | 0.779076 | + | 0.290272i | 0.0966325 | + | 0.0360038i | ||||
\(66\) | −10.7351 | + | 2.18269i | −1.32140 | + | 0.268670i | ||||
\(67\) | 5.20696 | − | 9.01872i | 0.636131 | − | 1.10181i | −0.350143 | − | 0.936696i | \(-0.613867\pi\) |
0.986274 | − | 0.165116i | \(-0.0527997\pi\) | |||||||
\(68\) | −12.2408 | + | 1.25788i | −1.48442 | + | 0.152541i | ||||
\(69\) | 7.48029 | + | 0.844429i | 0.900521 | + | 0.101657i | ||||
\(70\) | 0.173650 | − | 3.97560i | 0.0207552 | − | 0.475175i | ||||
\(71\) | −6.36723 | −0.755652 | −0.377826 | − | 0.925877i | \(-0.623328\pi\) | ||||
−0.377826 | + | 0.925877i | \(0.623328\pi\) | |||||||
\(72\) | −1.60735 | − | 8.33165i | −0.189428 | − | 0.981895i | ||||
\(73\) | 7.70836i | 0.902196i | 0.892474 | + | 0.451098i | \(0.148967\pi\) | ||||
−0.892474 | + | 0.451098i | \(0.851033\pi\) | |||||||
\(74\) | −7.20656 | − | 6.50396i | −0.837746 | − | 0.756070i | ||||
\(75\) | 6.36557 | − | 5.87193i | 0.735032 | − | 0.678032i | ||||
\(76\) | 5.73476 | − | 0.589311i | 0.657822 | − | 0.0675986i | ||||
\(77\) | −2.81392 | + | 4.87386i | −0.320676 | + | 0.555427i | ||||
\(78\) | 0.682184 | − | 0.603395i | 0.0772421 | − | 0.0683210i | ||||
\(79\) | 1.17778 | + | 2.03998i | 0.132511 | + | 0.229516i | 0.924644 | − | 0.380833i | \(-0.124363\pi\) |
−0.792133 | + | 0.610349i | \(0.791029\pi\) | |||||||
\(80\) | −3.24898 | − | 8.33331i | −0.363247 | − | 0.931693i | ||||
\(81\) | −0.664975 | − | 8.97540i | −0.0738861 | − | 0.997267i | ||||
\(82\) | −10.1882 | + | 3.29731i | −1.12510 | + | 0.364127i | ||||
\(83\) | 2.73857 | + | 4.74334i | 0.300597 | + | 0.520649i | 0.976271 | − | 0.216551i | \(-0.0694808\pi\) |
−0.675674 | + | 0.737200i | \(0.736147\pi\) | |||||||
\(84\) | −3.75318 | − | 2.21728i | −0.409505 | − | 0.241925i | ||||
\(85\) | −13.5665 | + | 2.28616i | −1.47149 | + | 0.247969i | ||||
\(86\) | −0.449319 | + | 2.10190i | −0.0484513 | + | 0.226653i | ||||
\(87\) | 7.19105 | − | 9.73921i | 0.770961 | − | 1.04415i | ||||
\(88\) | −1.36595 | + | 12.5754i | −0.145611 | + | 1.34055i | ||||
\(89\) | 17.0757 | 1.81002 | 0.905009 | − | 0.425392i | \(-0.139864\pi\) | ||||
0.905009 | + | 0.425392i | \(0.139864\pi\) | |||||||
\(90\) | −2.39416 | − | 9.17976i | −0.252366 | − | 0.967632i | ||||
\(91\) | − | 0.467885i | − | 0.0490476i | ||||||
\(92\) | 3.55390 | − | 7.93265i | 0.370519 | − | 0.827036i | ||||
\(93\) | 1.43597 | − | 12.7204i | 0.148903 | − | 1.31904i | ||||
\(94\) | 12.1149 | + | 2.58977i | 1.24955 | + | 0.267115i | ||||
\(95\) | 6.35580 | − | 1.07105i | 0.652092 | − | 0.109888i | ||||
\(96\) | −9.72959 | − | 1.15548i | −0.993022 | − | 0.117931i | ||||
\(97\) | 4.19011 | − | 2.41916i | 0.425441 | − | 0.245628i | −0.271962 | − | 0.962308i | \(-0.587672\pi\) |
0.697403 | + | 0.716680i | \(0.254339\pi\) | |||||||
\(98\) | 7.28784 | − | 2.35863i | 0.736183 | − | 0.238257i | ||||
\(99\) | −2.99104 | + | 13.0791i | −0.300611 | + | 1.31450i | ||||
\(100\) | −4.22586 | − | 9.06323i | −0.422586 | − | 0.906323i | ||||
\(101\) | 12.1808 | − | 7.03257i | 1.21203 | − | 0.699767i | 0.248831 | − | 0.968547i | \(-0.419954\pi\) |
0.963202 | + | 0.268780i | \(0.0866204\pi\) | |||||||
\(102\) | −4.78382 | + | 14.2914i | −0.473668 | + | 1.41506i | ||||
\(103\) | −4.62270 | − | 2.66892i | −0.455489 | − | 0.262976i | 0.254657 | − | 0.967031i | \(-0.418037\pi\) |
−0.710145 | + | 0.704055i | \(0.751371\pi\) | |||||||
\(104\) | −0.424398 | − | 0.962203i | −0.0416156 | − | 0.0943517i | ||||
\(105\) | −4.34734 | − | 2.20318i | −0.424257 | − | 0.215008i | ||||
\(106\) | 7.62428 | + | 6.88094i | 0.740535 | + | 0.668336i | ||||
\(107\) | 12.7259 | 1.23026 | 0.615128 | − | 0.788427i | \(-0.289104\pi\) | ||||
0.615128 | + | 0.788427i | \(0.289104\pi\) | |||||||
\(108\) | −10.1071 | − | 2.41808i | −0.972553 | − | 0.232680i | ||||
\(109\) | 9.13001i | 0.874496i | 0.899341 | + | 0.437248i | \(0.144047\pi\) | ||||
−0.899341 | + | 0.437248i | \(0.855953\pi\) | |||||||
\(110\) | −0.617141 | + | 14.1290i | −0.0588421 | + | 1.34715i | ||||
\(111\) | −10.8982 | + | 4.75211i | −1.03441 | + | 0.451050i | ||||
\(112\) | −3.75625 | + | 3.35074i | −0.354932 | + | 0.316615i | ||||
\(113\) | −0.767993 | − | 0.443401i | −0.0722467 | − | 0.0417116i | 0.463442 | − | 0.886128i | \(-0.346614\pi\) |
−0.535688 | + | 0.844416i | \(0.679948\pi\) | |||||||
\(114\) | 2.24119 | − | 6.69546i | 0.209907 | − | 0.627087i | ||||
\(115\) | 3.39305 | − | 9.10679i | 0.316404 | − | 0.849212i | ||||
\(116\) | −8.19052 | − | 11.3284i | −0.760471 | − | 1.05182i | ||||
\(117\) | −0.328329 | − | 1.06602i | −0.0303540 | − | 0.0985533i | ||||
\(118\) | 0.352380 | + | 1.08881i | 0.0324392 | + | 0.100233i | ||||
\(119\) | 3.87122 | + | 6.70516i | 0.354875 | + | 0.614661i | ||||
\(120\) | −10.9387 | − | 0.587542i | −0.998561 | − | 0.0536350i | ||||
\(121\) | 4.50048 | − | 7.79506i | 0.409134 | − | 0.708642i | ||||
\(122\) | 6.69030 | + | 1.43017i | 0.605711 | + | 0.129482i | ||||
\(123\) | −1.47119 | + | 13.0324i | −0.132653 | + | 1.17509i | ||||
\(124\) | −13.4896 | − | 6.04347i | −1.21140 | − | 0.542720i | ||||
\(125\) | −5.36839 | − | 9.80716i | −0.480164 | − | 0.877179i | ||||
\(126\) | −4.37059 | + | 3.06626i | −0.389363 | + | 0.273164i | ||||
\(127\) | 5.93133i | 0.526320i | 0.964752 | + | 0.263160i | \(0.0847648\pi\) | ||||
−0.964752 | + | 0.263160i | \(0.915235\pi\) | |||||||
\(128\) | −4.68540 | + | 10.2979i | −0.414134 | + | 0.910216i | ||||
\(129\) | 2.11773 | + | 1.56365i | 0.186456 | + | 0.137672i | ||||
\(130\) | −0.542891 | − | 1.04293i | −0.0476147 | − | 0.0914710i | ||||
\(131\) | 15.7751 | + | 9.10776i | 1.37828 | + | 0.795749i | 0.991952 | − | 0.126613i | \(-0.0404108\pi\) |
0.386326 | + | 0.922362i | \(0.373744\pi\) | |||||||
\(132\) | 13.3385 | + | 7.88006i | 1.16097 | + | 0.685871i | ||||
\(133\) | −1.81365 | − | 3.14133i | −0.157263 | − | 0.272388i | ||||
\(134\) | −14.0120 | + | 4.53481i | −1.21045 | + | 0.391748i | ||||
\(135\) | −11.4509 | − | 1.96901i | −0.985536 | − | 0.169465i | ||||
\(136\) | 14.0431 | + | 10.2777i | 1.20419 | + | 0.881306i | ||||
\(137\) | 2.58698 | − | 1.49359i | 0.221020 | − | 0.127606i | −0.385402 | − | 0.922749i | \(-0.625937\pi\) |
0.606423 | + | 0.795143i | \(0.292604\pi\) | |||||||
\(138\) | −7.05321 | − | 7.97420i | −0.600409 | − | 0.678809i | ||||
\(139\) | −0.501453 | − | 0.289514i | −0.0425327 | − | 0.0245563i | 0.478583 | − | 0.878042i | \(-0.341151\pi\) |
−0.521116 | + | 0.853486i | \(0.674484\pi\) | |||||||
\(140\) | −3.94923 | + | 4.00932i | −0.333771 | + | 0.338849i | ||||
\(141\) | 9.01253 | − | 12.2061i | 0.758992 | − | 1.02794i | ||||
\(142\) | 6.68476 | + | 6.03302i | 0.560972 | + | 0.506280i | ||||
\(143\) | 1.66283i | 0.139053i | ||||||||
\(144\) | −6.20683 | + | 10.2701i | −0.517236 | + | 0.855843i | ||||
\(145\) | −9.95515 | − | 12.0485i | −0.826730 | − | 1.00058i | ||||
\(146\) | 7.30376 | − | 8.09277i | 0.604463 | − | 0.669762i | ||||
\(147\) | 1.05237 | − | 9.32235i | 0.0867983 | − | 0.768894i | ||||
\(148\) | 1.40337 | + | 13.6566i | 0.115356 | + | 1.12257i | ||||
\(149\) | −3.14600 | − | 1.81634i | −0.257730 | − | 0.148801i | 0.365568 | − | 0.930784i | \(-0.380875\pi\) |
−0.623299 | + | 0.781984i | \(0.714208\pi\) | |||||||
\(150\) | −12.2467 | + | 0.133305i | −0.999941 | + | 0.0108843i | ||||
\(151\) | 3.91539 | + | 6.78166i | 0.318630 | + | 0.551884i | 0.980202 | − | 0.197998i | \(-0.0634439\pi\) |
−0.661572 | + | 0.749881i | \(0.730111\pi\) | |||||||
\(152\) | −6.57911 | − | 4.81504i | −0.533637 | − | 0.390552i | ||||
\(153\) | 13.5253 | + | 12.5603i | 1.09346 | + | 1.01544i | ||||
\(154\) | 7.57228 | − | 2.45068i | 0.610192 | − | 0.197482i | ||||
\(155\) | −15.4863 | − | 5.76995i | −1.24389 | − | 0.463454i | ||||
\(156\) | −1.28793 | − | 0.0128918i | −0.103117 | − | 0.00103217i | ||||
\(157\) | −0.820511 | + | 1.42117i | −0.0654839 | + | 0.113422i | −0.896909 | − | 0.442216i | \(-0.854192\pi\) |
0.831425 | + | 0.555638i | \(0.187526\pi\) | |||||||
\(158\) | 0.696387 | − | 3.25767i | 0.0554016 | − | 0.259167i | ||||
\(159\) | 11.5299 | − | 5.02755i | 0.914383 | − | 0.398711i | ||||
\(160\) | −4.48490 | + | 11.8273i | −0.354563 | + | 0.935032i | ||||
\(161\) | −5.46921 | −0.431034 | ||||||||
\(162\) | −7.80615 | + | 10.0531i | −0.613309 | + | 0.789843i | ||||
\(163\) | 3.98567 | 0.312182 | 0.156091 | − | 0.987743i | \(-0.450111\pi\) | ||||
0.156091 | + | 0.987743i | \(0.450111\pi\) | |||||||
\(164\) | 13.8205 | + | 6.19172i | 1.07920 | + | 0.483492i | ||||
\(165\) | 15.4501 | + | 7.82993i | 1.20279 | + | 0.609560i | ||||
\(166\) | 1.61923 | − | 7.57470i | 0.125677 | − | 0.587911i | ||||
\(167\) | 21.1866 | + | 12.2321i | 1.63947 | + | 0.946549i | 0.981016 | + | 0.193928i | \(0.0621228\pi\) |
0.658454 | + | 0.752621i | \(0.271211\pi\) | |||||||
\(168\) | 1.83944 | + | 5.88403i | 0.141916 | + | 0.453963i | ||||
\(169\) | 6.43088 | + | 11.1386i | 0.494683 | + | 0.856816i | ||||
\(170\) | 16.4091 | + | 10.4542i | 1.25852 | + | 0.801800i | ||||
\(171\) | −6.33653 | − | 5.88443i | −0.484566 | − | 0.449994i | ||||
\(172\) | 2.46330 | − | 1.78098i | 0.187825 | − | 0.135798i | ||||
\(173\) | −10.3193 | − | 17.8735i | −0.784559 | − | 1.35890i | −0.929262 | − | 0.369421i | \(-0.879556\pi\) |
0.144703 | − | 0.989475i | \(-0.453777\pi\) | |||||||
\(174\) | −16.7777 | + | 3.41129i | −1.27191 | + | 0.258609i | ||||
\(175\) | −4.11706 | + | 4.75802i | −0.311220 | + | 0.359672i | ||||
\(176\) | 13.3494 | − | 11.9083i | 1.00625 | − | 0.897622i | ||||
\(177\) | 1.39276 | + | 0.157225i | 0.104686 | + | 0.0118178i | ||||
\(178\) | −17.9272 | − | 16.1794i | −1.34370 | − | 1.21270i | ||||
\(179\) | 19.6649i | 1.46982i | 0.678163 | + | 0.734911i | \(0.262776\pi\) | ||||
−0.678163 | + | 0.734911i | \(0.737224\pi\) | |||||||
\(180\) | −6.18438 | + | 11.9060i | −0.460956 | + | 0.887423i | ||||
\(181\) | 11.1512i | 0.828863i | 0.910081 | + | 0.414431i | \(0.136019\pi\) | ||||
−0.910081 | + | 0.414431i | \(0.863981\pi\) | |||||||
\(182\) | −0.443326 | + | 0.491217i | −0.0328615 | + | 0.0364114i | ||||
\(183\) | 4.97707 | − | 6.74070i | 0.367915 | − | 0.498287i | ||||
\(184\) | −11.2474 | + | 4.96088i | −0.829169 | + | 0.365721i | ||||
\(185\) | 2.55058 | + | 15.1355i | 0.187522 | + | 1.11279i | ||||
\(186\) | −13.5603 | + | 11.9941i | −0.994288 | + | 0.879452i | ||||
\(187\) | −13.7581 | − | 23.8297i | −1.00609 | − | 1.74260i | ||||
\(188\) | −10.2652 | − | 14.1979i | −0.748665 | − | 1.03549i | ||||
\(189\) | 1.21156 | + | 6.42558i | 0.0881281 | + | 0.467392i | ||||
\(190\) | −7.68759 | − | 4.89773i | −0.557716 | − | 0.355319i | ||||
\(191\) | 3.18969 | + | 5.52471i | 0.230798 | + | 0.399754i | 0.958043 | − | 0.286624i | \(-0.0925330\pi\) |
−0.727245 | + | 0.686378i | \(0.759200\pi\) | |||||||
\(192\) | 9.11995 | + | 10.4320i | 0.658176 | + | 0.752864i | ||||
\(193\) | −12.7936 | − | 7.38640i | −0.920906 | − | 0.531685i | −0.0369817 | − | 0.999316i | \(-0.511774\pi\) |
−0.883924 | + | 0.467631i | \(0.845108\pi\) | |||||||
\(194\) | −6.69124 | − | 1.43037i | −0.480403 | − | 0.102695i | ||||
\(195\) | −1.43788 | + | 0.0784936i | −0.102969 | + | 0.00562105i | ||||
\(196\) | −9.88610 | − | 4.42906i | −0.706150 | − | 0.316361i | ||||
\(197\) | −6.08190 | −0.433318 | −0.216659 | − | 0.976247i | \(-0.569516\pi\) | ||||
−0.216659 | + | 0.976247i | \(0.569516\pi\) | |||||||
\(198\) | 15.5328 | − | 10.8973i | 1.10387 | − | 0.774435i | ||||
\(199\) | 9.59861 | 0.680428 | 0.340214 | − | 0.940348i | \(-0.389501\pi\) | ||||
0.340214 | + | 0.940348i | \(0.389501\pi\) | |||||||
\(200\) | −4.15092 | + | 13.5192i | −0.293514 | + | 0.955955i | ||||
\(201\) | −2.02334 | + | 17.9236i | −0.142716 | + | 1.26423i | ||||
\(202\) | −19.4516 | − | 4.15814i | −1.36861 | − | 0.292566i | ||||
\(203\) | −4.39783 | + | 7.61727i | −0.308667 | + | 0.534627i | ||||
\(204\) | 18.5637 | − | 10.4714i | 1.29972 | − | 0.733145i | ||||
\(205\) | 15.8662 | + | 5.91149i | 1.10814 | + | 0.412877i | ||||
\(206\) | 2.32440 | + | 7.18208i | 0.161949 | + | 0.500399i | ||||
\(207\) | −12.4609 | + | 3.83790i | −0.866092 | + | 0.266753i | ||||
\(208\) | −0.466136 | + | 1.41231i | −0.0323207 | + | 0.0979259i | ||||
\(209\) | 6.44557 | + | 11.1641i | 0.445849 | + | 0.772234i | ||||
\(210\) | 2.47660 | + | 6.43219i | 0.170901 | + | 0.443864i | ||||
\(211\) | 6.40284 | + | 3.69668i | 0.440790 | + | 0.254490i | 0.703932 | − | 0.710267i | \(-0.251426\pi\) |
−0.263143 | + | 0.964757i | \(0.584759\pi\) | |||||||
\(212\) | −1.48471 | − | 14.4482i | −0.101971 | − | 0.992304i | ||||
\(213\) | 10.1091 | − | 4.40802i | 0.692666 | − | 0.302033i | ||||
\(214\) | −13.3605 | − | 12.0579i | −0.913304 | − | 0.824262i | ||||
\(215\) | 2.61988 | − | 2.16469i | 0.178674 | − | 0.147630i | ||||
\(216\) | 8.31994 | + | 12.1152i | 0.566100 | + | 0.824337i | ||||
\(217\) | 9.30049i | 0.631359i | ||||||||
\(218\) | 8.65078 | − | 9.58530i | 0.585905 | − | 0.649199i | ||||
\(219\) | −5.33648 | − | 12.2384i | −0.360606 | − | 0.826995i | ||||
\(220\) | 14.0353 | − | 14.2488i | 0.946260 | − | 0.960657i | ||||
\(221\) | 1.98114 | + | 1.14381i | 0.133266 | + | 0.0769410i | ||||
\(222\) | 15.9444 | + | 5.33711i | 1.07012 | + | 0.358203i | ||||
\(223\) | −1.26177 | + | 0.728481i | −0.0844941 | + | 0.0487827i | −0.541652 | − | 0.840603i | \(-0.682201\pi\) |
0.457158 | + | 0.889386i | \(0.348868\pi\) | |||||||
\(224\) | 7.11843 | + | 0.0412495i | 0.475620 | + | 0.00275610i | ||||
\(225\) | −6.04136 | + | 13.7296i | −0.402757 | + | 0.915307i | ||||
\(226\) | 0.386164 | + | 1.19319i | 0.0256872 | + | 0.0793701i | ||||
\(227\) | 2.56490 | + | 4.44253i | 0.170238 | + | 0.294861i | 0.938503 | − | 0.345271i | \(-0.112213\pi\) |
−0.768265 | + | 0.640132i | \(0.778880\pi\) | |||||||
\(228\) | −8.69697 | + | 4.90579i | −0.575971 | + | 0.324894i | ||||
\(229\) | −23.0734 | − | 13.3215i | −1.52474 | − | 0.880307i | −0.999570 | − | 0.0293064i | \(-0.990670\pi\) |
−0.525165 | − | 0.851000i | \(-0.675997\pi\) | |||||||
\(230\) | −12.1910 | + | 6.34597i | −0.803853 | + | 0.418441i | ||||
\(231\) | 1.09345 | − | 9.68619i | 0.0719435 | − | 0.637304i | ||||
\(232\) | −2.13483 | + | 19.6540i | −0.140158 | + | 1.29035i | ||||
\(233\) | − | 7.99994i | − | 0.524094i | −0.965055 | − | 0.262047i | \(-0.915602\pi\) | ||
0.965055 | − | 0.262047i | \(-0.0843975\pi\) | |||||||
\(234\) | −0.665361 | + | 1.43027i | −0.0434960 | + | 0.0934998i | ||||
\(235\) | −12.4768 | − | 15.1004i | −0.813896 | − | 0.985043i | ||||
\(236\) | 0.661704 | − | 1.47699i | 0.0430732 | − | 0.0961437i | ||||
\(237\) | −3.28222 | − | 2.42346i | −0.213203 | − | 0.157421i | ||||
\(238\) | 2.28893 | − | 10.7076i | 0.148370 | − | 0.694068i | ||||
\(239\) | 0.466877 | − | 0.808654i | 0.0301997 | − | 0.0523075i | −0.850531 | − | 0.525926i | \(-0.823719\pi\) |
0.880730 | + | 0.473618i | \(0.157052\pi\) | |||||||
\(240\) | 10.9275 | + | 10.9814i | 0.705365 | + | 0.708844i | ||||
\(241\) | −2.80281 | − | 4.85460i | −0.180545 | − | 0.312712i | 0.761522 | − | 0.648140i | \(-0.224453\pi\) |
−0.942066 | + | 0.335427i | \(0.891119\pi\) | |||||||
\(242\) | −12.1108 | + | 3.91953i | −0.778513 | + | 0.251957i | ||||
\(243\) | 7.26941 | + | 13.7897i | 0.466333 | + | 0.884609i | ||||
\(244\) | −5.66883 | − | 7.84062i | −0.362909 | − | 0.501944i | ||||
\(245\) | −11.3494 | − | 4.22861i | −0.725085 | − | 0.270156i | ||||
\(246\) | 13.8929 | − | 12.2884i | 0.885781 | − | 0.783477i | ||||
\(247\) | −0.928151 | − | 0.535868i | −0.0590569 | − | 0.0340965i | ||||
\(248\) | 8.43607 | + | 19.1264i | 0.535691 | + | 1.21453i | ||||
\(249\) | −7.63177 | − | 5.63500i | −0.483644 | − | 0.357103i | ||||
\(250\) | −3.65628 | + | 15.3828i | −0.231244 | + | 0.972896i | ||||
\(251\) | − | 19.2296i | − | 1.21376i | −0.794792 | − | 0.606882i | \(-0.792420\pi\) | ||
0.794792 | − | 0.606882i | \(-0.207580\pi\) | |||||||
\(252\) | 7.49386 | + | 0.922014i | 0.472069 | + | 0.0580814i | ||||
\(253\) | 19.4372 | 1.22200 | ||||||||
\(254\) | 5.62000 | − | 6.22711i | 0.352630 | − | 0.390724i | ||||
\(255\) | 19.9565 | − | 13.0217i | 1.24972 | − | 0.815451i | ||||
\(256\) | 14.6764 | − | 6.37199i | 0.917277 | − | 0.398249i | ||||
\(257\) | −26.4381 | − | 15.2641i | −1.64916 | − | 0.952145i | −0.977405 | − | 0.211376i | \(-0.932206\pi\) |
−0.671759 | − | 0.740769i | \(-0.734461\pi\) | |||||||
\(258\) | −0.741764 | − | 3.64820i | −0.0461802 | − | 0.227127i | ||||
\(259\) | 7.48067 | − | 4.31897i | 0.464826 | − | 0.268368i | ||||
\(260\) | −0.418224 | + | 1.60933i | −0.0259371 | + | 0.0998067i | ||||
\(261\) | −4.67464 | + | 20.4411i | −0.289353 | + | 1.26527i | ||||
\(262\) | −7.93208 | − | 24.5090i | −0.490045 | − | 1.51417i | ||||
\(263\) | −9.92751 | + | 5.73165i | −0.612156 | + | 0.353429i | −0.773809 | − | 0.633419i | \(-0.781651\pi\) |
0.161653 | + | 0.986848i | \(0.448318\pi\) | |||||||
\(264\) | −6.53725 | − | 20.9114i | −0.402340 | − | 1.28701i | ||||
\(265\) | −2.69841 | − | 16.0128i | −0.165762 | − | 0.983661i | ||||
\(266\) | −1.07235 | + | 5.01643i | −0.0657502 | + | 0.307577i | ||||
\(267\) | −27.1107 | + | 11.8214i | −1.65915 | + | 0.723461i | ||||
\(268\) | 19.0075 | + | 8.51553i | 1.16107 | + | 0.520169i | ||||
\(269\) | 9.32956i | 0.568834i | 0.958701 | + | 0.284417i | \(0.0917999\pi\) | ||||
−0.958701 | + | 0.284417i | \(0.908200\pi\) | |||||||
\(270\) | 10.1563 | + | 12.9170i | 0.618091 | + | 0.786106i | ||||
\(271\) | 1.90948 | 0.115993 | 0.0579963 | − | 0.998317i | \(-0.481529\pi\) | ||||
0.0579963 | + | 0.998317i | \(0.481529\pi\) | |||||||
\(272\) | −5.00518 | − | 24.0962i | −0.303483 | − | 1.46105i | ||||
\(273\) | 0.323915 | + | 0.742851i | 0.0196042 | + | 0.0449594i | ||||
\(274\) | −4.13118 | − | 0.883114i | −0.249574 | − | 0.0533509i | ||||
\(275\) | 14.6317 | − | 16.9097i | 0.882327 | − | 1.01969i | ||||
\(276\) | −0.150696 | + | 15.0549i | −0.00907081 | + | 0.906196i | ||||
\(277\) | 6.14089 | + | 10.6363i | 0.368971 | + | 0.639076i | 0.989405 | − | 0.145183i | \(-0.0463770\pi\) |
−0.620434 | + | 0.784258i | \(0.713044\pi\) | |||||||
\(278\) | 0.252142 | + | 0.779084i | 0.0151225 | + | 0.0467264i | ||||
\(279\) | 6.52643 | + | 21.1900i | 0.390727 | + | 1.26861i | ||||
\(280\) | 7.94505 | − | 0.467314i | 0.474808 | − | 0.0279274i | ||||
\(281\) | −7.18088 | − | 12.4376i | −0.428375 | − | 0.741968i | 0.568354 | − | 0.822784i | \(-0.307581\pi\) |
−0.996729 | + | 0.0808166i | \(0.974247\pi\) | |||||||
\(282\) | −21.0274 | + | 4.27537i | −1.25216 | + | 0.254594i | ||||
\(283\) | −15.7086 | + | 27.2080i | −0.933777 | + | 1.61735i | −0.156978 | + | 0.987602i | \(0.550175\pi\) |
−0.776800 | + | 0.629748i | \(0.783158\pi\) | |||||||
\(284\) | −1.30176 | − | 12.6678i | −0.0772450 | − | 0.751693i | ||||
\(285\) | −9.34949 | + | 6.10059i | −0.553816 | + | 0.361368i | ||||
\(286\) | 1.57555 | − | 1.74575i | 0.0931642 | − | 0.103228i | ||||
\(287\) | − | 9.52864i | − | 0.562458i | ||||||
\(288\) | 16.2474 | − | 4.90123i | 0.957387 | − | 0.288808i | ||||
\(289\) | −20.8550 | −1.22677 | ||||||||
\(290\) | −0.964520 | + | 22.0820i | −0.0566386 | + | 1.29670i | ||||
\(291\) | −4.97777 | + | 6.74165i | −0.291802 | + | 0.395203i | ||||
\(292\) | −15.3360 | + | 1.57594i | −0.897470 | + | 0.0922252i | ||||
\(293\) | 5.33082 | − | 9.23325i | 0.311430 | − | 0.539412i | −0.667242 | − | 0.744841i | \(-0.732525\pi\) |
0.978672 | + | 0.205428i | \(0.0658588\pi\) | |||||||
\(294\) | −9.93788 | + | 8.79010i | −0.579589 | + | 0.512649i | ||||
\(295\) | 0.631756 | − | 1.69560i | 0.0367822 | − | 0.0987218i | ||||
\(296\) | 11.4664 | − | 15.6673i | 0.666472 | − | 0.910645i | ||||
\(297\) | −4.30580 | − | 22.8361i | −0.249848 | − | 1.32508i | ||||
\(298\) | 1.58188 | + | 4.88779i | 0.0916359 | + | 0.283142i | ||||
\(299\) | −1.39946 | + | 0.807979i | −0.0809329 | + | 0.0467266i | ||||
\(300\) | 12.9838 | + | 11.4640i | 0.749617 | + | 0.661872i | ||||
\(301\) | −1.65633 | − | 0.956282i | −0.0954692 | − | 0.0551192i | ||||
\(302\) | 2.31505 | − | 10.8297i | 0.133216 | − | 0.623181i | ||||
\(303\) | −14.4705 | + | 19.5982i | −0.831310 | + | 1.12589i | ||||
\(304\) | 2.34490 | + | 11.2889i | 0.134489 | + | 0.647465i | ||||
\(305\) | −6.89016 | − | 8.33903i | −0.394529 | − | 0.477491i | ||||
\(306\) | −2.29876 | − | 26.0020i | −0.131411 | − | 1.48644i | ||||
\(307\) | 16.5867 | 0.946653 | 0.473326 | − | 0.880887i | \(-0.343053\pi\) | ||||
0.473326 | + | 0.880887i | \(0.343053\pi\) | |||||||
\(308\) | −10.2719 | − | 4.60192i | −0.585298 | − | 0.262219i | ||||
\(309\) | 9.18706 | + | 1.03710i | 0.522633 | + | 0.0589986i | ||||
\(310\) | 10.7915 | + | 20.7311i | 0.612913 | + | 1.17745i | ||||
\(311\) | 15.6786 | − | 27.1562i | 0.889055 | − | 1.53989i | 0.0480600 | − | 0.998844i | \(-0.484696\pi\) |
0.840995 | − | 0.541043i | \(-0.181971\pi\) | |||||||
\(312\) | 1.33994 | + | 1.23386i | 0.0758590 | + | 0.0698535i | ||||
\(313\) | 9.96330 | − | 5.75231i | 0.563159 | − | 0.325140i | −0.191253 | − | 0.981541i | \(-0.561255\pi\) |
0.754412 | + | 0.656401i | \(0.227922\pi\) | |||||||
\(314\) | 2.20800 | − | 0.714595i | 0.124605 | − | 0.0403269i | ||||
\(315\) | 8.42743 | + | 0.488287i | 0.474832 | + | 0.0275118i | ||||
\(316\) | −3.81780 | + | 2.76029i | −0.214768 | + | 0.155279i | ||||
\(317\) | 12.1655 | + | 21.0713i | 0.683283 | + | 1.18348i | 0.973973 | + | 0.226664i | \(0.0727819\pi\) |
−0.290690 | + | 0.956817i | \(0.593885\pi\) | |||||||
\(318\) | −16.8686 | − | 5.64646i | −0.945942 | − | 0.316638i | ||||
\(319\) | 15.6296 | − | 27.0712i | 0.875089 | − | 1.51570i | ||||
\(320\) | 15.9151 | − | 8.16764i | 0.889680 | − | 0.456585i | ||||
\(321\) | −20.2046 | + | 8.81009i | −1.12771 | + | 0.491731i | ||||
\(322\) | 5.74194 | + | 5.18213i | 0.319986 | + | 0.288789i | ||||
\(323\) | 17.7349 | 0.986794 | ||||||||
\(324\) | 17.7208 | − | 3.15797i | 0.984490 | − | 0.175443i | ||||
\(325\) | −0.350560 | + | 1.82570i | −0.0194455 | + | 0.101272i | ||||
\(326\) | −4.18443 | − | 3.77647i | −0.231754 | − | 0.209159i | ||||
\(327\) | −6.32068 | − | 14.4955i | −0.349534 | − | 0.801604i | ||||
\(328\) | −8.64302 | − | 19.5956i | −0.477231 | − | 1.08199i | ||||
\(329\) | −5.51180 | + | 9.54672i | −0.303875 | + | 0.526327i | ||||
\(330\) | −8.80165 | − | 22.8596i | −0.484515 | − | 1.25838i | ||||
\(331\) | 8.74389 | − | 5.04829i | 0.480608 | − | 0.277479i | −0.240062 | − | 0.970758i | \(-0.577168\pi\) |
0.720670 | + | 0.693279i | \(0.243834\pi\) | |||||||
\(332\) | −8.87709 | + | 6.41820i | −0.487194 | + | 0.352245i | ||||
\(333\) | 14.0130 | − | 15.0896i | 0.767909 | − | 0.826907i | ||||
\(334\) | −10.6531 | − | 32.9167i | −0.582912 | − | 1.80112i | ||||
\(335\) | 21.8209 | + | 8.13012i | 1.19220 | + | 0.444196i | ||||
\(336\) | 3.64401 | − | 7.92034i | 0.198797 | − | 0.432090i | ||||
\(337\) | 2.47105 | + | 1.42666i | 0.134607 | + | 0.0777152i | 0.565791 | − | 0.824549i | \(-0.308571\pi\) |
−0.431184 | + | 0.902264i | \(0.641904\pi\) | |||||||
\(338\) | 3.80238 | − | 17.7874i | 0.206822 | − | 0.967507i | ||||
\(339\) | 1.52629 | + | 0.172299i | 0.0828968 | + | 0.00935798i | ||||
\(340\) | −7.32197 | − | 26.5234i | −0.397090 | − | 1.43843i | ||||
\(341\) | − | 33.0533i | − | 1.78994i | ||||||
\(342\) | 1.07696 | + | 12.1818i | 0.0582351 | + | 0.658716i | ||||
\(343\) | 15.6248i | 0.843659i | ||||||||
\(344\) | −4.27363 | − | 0.464205i | −0.230419 | − | 0.0250283i | ||||
\(345\) | 0.917529 | + | 16.8077i | 0.0493981 | + | 0.904894i | ||||
\(346\) | −6.10146 | + | 28.5424i | −0.328017 | + | 1.53445i | ||||
\(347\) | −8.86869 | + | 15.3610i | −0.476096 | + | 0.824622i | −0.999625 | − | 0.0273854i | \(-0.991282\pi\) |
0.523529 | + | 0.852008i | \(0.324615\pi\) | |||||||
\(348\) | 20.8466 | + | 12.3156i | 1.11749 | + | 0.660186i | ||||
\(349\) | −5.68659 | + | 3.28316i | −0.304396 | + | 0.175743i | −0.644416 | − | 0.764675i | \(-0.722900\pi\) |
0.340020 | + | 0.940418i | \(0.389566\pi\) | |||||||
\(350\) | 8.83064 | − | 1.09433i | 0.472018 | − | 0.0584945i | ||||
\(351\) | 1.25928 | + | 1.46519i | 0.0672154 | + | 0.0782061i | ||||
\(352\) | −25.2984 | − | 0.146598i | −1.34841 | − | 0.00781369i | ||||
\(353\) | 18.0366 | − | 10.4134i | 0.959992 | − | 0.554251i | 0.0638212 | − | 0.997961i | \(-0.479671\pi\) |
0.896170 | + | 0.443710i | \(0.146338\pi\) | |||||||
\(354\) | −1.31325 | − | 1.48472i | −0.0697982 | − | 0.0789122i | ||||
\(355\) | −2.36590 | − | 14.0396i | −0.125569 | − | 0.745146i | ||||
\(356\) | 3.49105 | + | 33.9724i | 0.185025 | + | 1.80054i | ||||
\(357\) | −10.7882 | − | 7.96560i | −0.570973 | − | 0.421584i | ||||
\(358\) | 18.6327 | − | 20.6455i | 0.984769 | − | 1.09115i | ||||
\(359\) | −32.0447 | −1.69125 | −0.845627 | − | 0.533774i | \(-0.820773\pi\) | ||||
−0.845627 | + | 0.533774i | \(0.820773\pi\) | |||||||
\(360\) | 17.7739 | − | 6.63999i | 0.936765 | − | 0.349958i | ||||
\(361\) | 10.6913 | 0.562701 | ||||||||
\(362\) | 10.5659 | − | 11.7073i | 0.555331 | − | 0.615322i | ||||
\(363\) | −1.74882 | + | 15.4917i | −0.0917891 | + | 0.813104i | ||||
\(364\) | 0.930867 | − | 0.0956572i | 0.0487907 | − | 0.00501380i | ||||
\(365\) | −16.9968 | + | 2.86422i | −0.889652 | + | 0.149920i | ||||
\(366\) | −11.6121 | + | 2.36102i | −0.606977 | + | 0.123413i | ||||
\(367\) | 29.0554 | − | 16.7752i | 1.51668 | − | 0.875656i | 0.516873 | − | 0.856062i | \(-0.327096\pi\) |
0.999808 | − | 0.0195943i | \(-0.00623747\pi\) | |||||||
\(368\) | 16.5088 | + | 5.44876i | 0.860579 | + | 0.284036i | ||||
\(369\) | −6.68653 | − | 21.7098i | −0.348087 | − | 1.13017i | ||||
\(370\) | 11.6633 | − | 18.3070i | 0.606347 | − | 0.951737i | ||||
\(371\) | −7.91427 | + | 4.56931i | −0.410889 | + | 0.237227i | ||||
\(372\) | 25.6011 | + | 0.256261i | 1.32735 | + | 0.0132865i | ||||
\(373\) | −12.2073 | + | 21.1436i | −0.632069 | + | 1.09478i | 0.355059 | + | 0.934844i | \(0.384461\pi\) |
−0.987128 | + | 0.159932i | \(0.948873\pi\) | |||||||
\(374\) | −8.13471 | + | 38.0539i | −0.420636 | + | 1.96772i | ||||
\(375\) | 15.3128 | + | 11.8541i | 0.790747 | + | 0.612143i | ||||
\(376\) | −2.67558 | + | 24.6323i | −0.137982 | + | 1.27031i | ||||
\(377\) | 2.59881i | 0.133845i | ||||||||
\(378\) | 4.81633 | − | 7.89398i | 0.247725 | − | 0.406023i | ||||
\(379\) | 17.5073i | 0.899290i | 0.893207 | + | 0.449645i | \(0.148450\pi\) | ||||
−0.893207 | + | 0.449645i | \(0.851550\pi\) | |||||||
\(380\) | 3.43030 | + | 12.4260i | 0.175971 | + | 0.637443i | ||||
\(381\) | −4.10624 | − | 9.41705i | −0.210369 | − | 0.482450i | ||||
\(382\) | 1.88597 | − | 8.82248i | 0.0964944 | − | 0.451397i | ||||
\(383\) | 12.3525 | + | 7.13170i | 0.631181 | + | 0.364413i | 0.781209 | − | 0.624269i | \(-0.214603\pi\) |
−0.150028 | + | 0.988682i | \(0.547936\pi\) | |||||||
\(384\) | 0.309683 | − | 19.5935i | 0.0158035 | − | 0.999875i | ||||
\(385\) | −11.7923 | − | 4.39364i | −0.600993 | − | 0.223921i | ||||
\(386\) | 6.43292 | + | 19.8769i | 0.327427 | + | 1.01171i | ||||
\(387\) | −4.44479 | − | 1.01647i | −0.225941 | − | 0.0516702i | ||||
\(388\) | 5.66963 | + | 7.84173i | 0.287832 | + | 0.398103i | ||||
\(389\) | 25.6906 | − | 14.8325i | 1.30256 | − | 0.752036i | 0.321721 | − | 0.946834i | \(-0.395739\pi\) |
0.980843 | + | 0.194798i | \(0.0624053\pi\) | |||||||
\(390\) | 1.58395 | + | 1.28000i | 0.0802067 | + | 0.0648151i | ||||
\(391\) | 13.3702 | − | 23.1579i | 0.676162 | − | 1.17115i | ||||
\(392\) | 6.18252 | + | 14.0171i | 0.312264 | + | 0.707971i | ||||
\(393\) | −31.3511 | − | 3.53914i | −1.58145 | − | 0.178526i | ||||
\(394\) | 6.38520 | + | 5.76267i | 0.321682 | + | 0.290319i | ||||
\(395\) | −4.06048 | + | 3.35499i | −0.204305 | + | 0.168808i | ||||
\(396\) | −26.6326 | − | 3.27677i | −1.33834 | − | 0.164664i | ||||
\(397\) | −3.18698 | −0.159950 | −0.0799749 | − | 0.996797i | \(-0.525484\pi\) | ||||
−0.0799749 | + | 0.996797i | \(0.525484\pi\) | |||||||
\(398\) | −10.0773 | − | 9.09479i | −0.505128 | − | 0.455881i | ||||
\(399\) | 5.05422 | + | 3.73184i | 0.253027 | + | 0.186825i | ||||
\(400\) | 17.1675 | − | 10.2604i | 0.858377 | − | 0.513019i | ||||
\(401\) | −9.31236 | + | 16.1295i | −0.465037 | + | 0.805468i | −0.999203 | − | 0.0399115i | \(-0.987292\pi\) |
0.534166 | + | 0.845380i | \(0.320626\pi\) | |||||||
\(402\) | 19.1070 | − | 16.9003i | 0.952973 | − | 0.842909i | ||||
\(403\) | 1.37398 | + | 2.37981i | 0.0684430 | + | 0.118547i | ||||
\(404\) | 16.4818 | + | 22.7962i | 0.819999 | + | 1.13415i | ||||
\(405\) | 19.5435 | − | 4.80128i | 0.971123 | − | 0.238577i | ||||
\(406\) | 11.8346 | − | 3.83013i | 0.587341 | − | 0.190086i | ||||
\(407\) | −26.5858 | + | 15.3493i | −1.31781 | + | 0.760837i | ||||
\(408\) | −29.4112 | − | 6.59569i | −1.45607 | − | 0.326535i | ||||
\(409\) | −3.97421 | + | 6.88353i | −0.196512 | + | 0.340369i | −0.947395 | − | 0.320066i | \(-0.896295\pi\) |
0.750883 | + | 0.660435i | \(0.229628\pi\) | |||||||
\(410\) | −11.0562 | − | 21.2397i | −0.546026 | − | 1.04895i | ||||
\(411\) | −3.07328 | + | 4.16230i | −0.151594 | + | 0.205311i | ||||
\(412\) | 4.36478 | − | 9.74263i | 0.215037 | − | 0.479985i | ||||
\(413\) | −1.01832 | −0.0501081 | ||||||||
\(414\) | 16.7188 | + | 7.77754i | 0.821682 | + | 0.382245i | ||||
\(415\) | −9.44139 | + | 7.80099i | −0.463459 | + | 0.382935i | ||||
\(416\) | 1.82756 | − | 1.04107i | 0.0896034 | − | 0.0510425i | ||||
\(417\) | 0.996577 | + | 0.112501i | 0.0488026 | + | 0.00550919i | ||||
\(418\) | 3.81107 | − | 17.8280i | 0.186405 | − | 0.871998i | ||||
\(419\) | −15.5863 | − | 8.99874i | −0.761439 | − | 0.439617i | 0.0683730 | − | 0.997660i | \(-0.478219\pi\) |
−0.829812 | + | 0.558043i | \(0.811553\pi\) | |||||||
\(420\) | 3.49447 | − | 9.09956i | 0.170513 | − | 0.444013i | ||||
\(421\) | −7.92781 | + | 4.57712i | −0.386378 | + | 0.223075i | −0.680590 | − | 0.732665i | \(-0.738276\pi\) |
0.294212 | + | 0.955740i | \(0.404943\pi\) | |||||||
\(422\) | −3.21949 | − | 9.94779i | −0.156722 | − | 0.484251i | ||||
\(423\) | −5.85873 | + | 25.6188i | −0.284861 | + | 1.24563i | ||||
\(424\) | −12.1310 | + | 16.5755i | −0.589136 | + | 0.804975i | ||||
\(425\) | −10.0819 | − | 29.0643i | −0.489042 | − | 1.40982i | ||||
\(426\) | −14.7899 | − | 4.95067i | −0.716573 | − | 0.239861i | ||||
\(427\) | −3.04383 | + | 5.27206i | −0.147301 | + | 0.255133i | ||||
\(428\) | 2.60175 | + | 25.3184i | 0.125761 | + | 1.22381i | ||||
\(429\) | −1.15117 | − | 2.64004i | −0.0555791 | − | 0.127462i | ||||
\(430\) | −4.80159 | − | 0.209729i | −0.231553 | − | 0.0101140i | ||||
\(431\) | −17.5146 | −0.843647 | −0.421824 | − | 0.906678i | \(-0.638610\pi\) | ||||
−0.421824 | + | 0.906678i | \(0.638610\pi\) | |||||||
\(432\) | 2.74447 | − | 20.6026i | 0.132043 | − | 0.991244i | ||||
\(433\) | 5.31270i | 0.255312i | 0.991819 | + | 0.127656i | \(0.0407454\pi\) | ||||
−0.991819 | + | 0.127656i | \(0.959255\pi\) | |||||||
\(434\) | 8.81232 | − | 9.76429i | 0.423005 | − | 0.468701i | ||||
\(435\) | 24.1467 | + | 12.2373i | 1.15775 | + | 0.586732i | ||||
\(436\) | −18.1644 | + | 1.86659i | −0.869915 | + | 0.0893936i | ||||
\(437\) | −6.26388 | + | 10.8494i | −0.299642 | + | 0.518995i | ||||
\(438\) | −5.99342 | + | 17.9051i | −0.286377 | + | 0.855538i | ||||
\(439\) | −1.80194 | − | 3.12106i | −0.0860020 | − | 0.148960i | 0.819816 | − | 0.572627i | \(-0.194076\pi\) |
−0.905818 | + | 0.423668i | \(0.860742\pi\) | |||||||
\(440\) | −28.2361 | + | 1.66080i | −1.34611 | + | 0.0791756i | ||||
\(441\) | 4.78300 | + | 15.5294i | 0.227762 | + | 0.739498i | ||||
\(442\) | −0.996160 | − | 3.07800i | −0.0473825 | − | 0.146406i | ||||
\(443\) | 5.89373 | + | 10.2082i | 0.280020 | + | 0.485008i | 0.971389 | − | 0.237493i | \(-0.0763256\pi\) |
−0.691370 | + | 0.722501i | \(0.742992\pi\) | |||||||
\(444\) | −11.6825 | − | 20.7107i | −0.554428 | − | 0.982888i | ||||
\(445\) | 6.34487 | + | 37.6515i | 0.300776 | + | 1.78485i | ||||
\(446\) | 2.01493 | + | 0.430728i | 0.0954097 | + | 0.0203956i | ||||
\(447\) | 6.25229 | + | 0.705804i | 0.295723 | + | 0.0333834i | ||||
\(448\) | −7.43433 | − | 6.78810i | −0.351239 | − | 0.320707i | ||||
\(449\) | 40.0680 | 1.89093 | 0.945464 | − | 0.325727i | \(-0.105609\pi\) | ||||
0.945464 | + | 0.325727i | \(0.105609\pi\) | |||||||
\(450\) | 19.3516 | − | 8.69002i | 0.912242 | − | 0.409651i | ||||
\(451\) | 33.8641i | 1.59460i | ||||||||
\(452\) | 0.725143 | − | 1.61859i | 0.0341079 | − | 0.0761321i | ||||
\(453\) | −10.9113 | − | 8.05648i | −0.512658 | − | 0.378526i | ||||
\(454\) | 1.51654 | − | 7.09434i | 0.0711749 | − | 0.332954i | ||||
\(455\) | 1.03168 | − | 0.173854i | 0.0483657 | − | 0.00815038i | ||||
\(456\) | 13.7790 | + | 3.09004i | 0.645259 | + | 0.144704i | ||||
\(457\) | −4.72025 | + | 2.72524i | −0.220804 | + | 0.127481i | −0.606323 | − | 0.795219i | \(-0.707356\pi\) |
0.385518 | + | 0.922700i | \(0.374023\pi\) | |||||||
\(458\) | 11.6018 | + | 35.8481i | 0.542118 | + | 1.67507i | ||||
\(459\) | −30.1693 | − | 10.5782i | −1.40818 | − | 0.493748i | ||||
\(460\) | 18.8119 | + | 4.88871i | 0.877107 | + | 0.227937i | ||||
\(461\) | −12.7630 | + | 7.36870i | −0.594430 | + | 0.343195i | −0.766847 | − | 0.641830i | \(-0.778176\pi\) |
0.172417 | + | 0.985024i | \(0.444842\pi\) | |||||||
\(462\) | −10.3257 | + | 9.13317i | −0.480397 | + | 0.424913i | ||||
\(463\) | −12.5702 | − | 7.25740i | −0.584186 | − | 0.337280i | 0.178609 | − | 0.983920i | \(-0.442840\pi\) |
−0.762795 | + | 0.646640i | \(0.776174\pi\) | |||||||
\(464\) | 20.8636 | − | 18.6113i | 0.968569 | − | 0.864007i | ||||
\(465\) | 28.5818 | − | 1.56028i | 1.32545 | − | 0.0723561i | ||||
\(466\) | −7.58003 | + | 8.39889i | −0.351138 | + | 0.389071i | ||||
\(467\) | 16.2530 | 0.752100 | 0.376050 | − | 0.926599i | \(-0.377282\pi\) | ||||
0.376050 | + | 0.926599i | \(0.377282\pi\) | |||||||
\(468\) | 2.05374 | − | 0.871160i | 0.0949341 | − | 0.0402694i | ||||
\(469\) | − | 13.1048i | − | 0.605124i | ||||||
\(470\) | −1.20883 | + | 27.6753i | −0.0557593 | + | 1.27657i | ||||
\(471\) | 0.318838 | − | 2.82440i | 0.0146913 | − | 0.130141i | ||||
\(472\) | −2.09416 | + | 0.923671i | −0.0963917 | + | 0.0425154i | ||||
\(473\) | 5.88648 | + | 3.39856i | 0.270660 | + | 0.156266i | ||||
\(474\) | 1.14964 | + | 5.65425i | 0.0528047 | + | 0.259708i | ||||
\(475\) | 4.72330 | + | 13.6164i | 0.216720 | + | 0.624765i | ||||
\(476\) | −12.5486 | + | 9.07273i | −0.575165 | + | 0.415848i | ||||
\(477\) | −14.8253 | + | 15.9643i | −0.678802 | + | 0.730954i | ||||
\(478\) | −1.25637 | + | 0.406609i | −0.0574649 | + | 0.0185979i | ||||
\(479\) | −14.8226 | − | 25.6735i | −0.677262 | − | 1.17305i | −0.975802 | − | 0.218655i | \(-0.929833\pi\) |
0.298540 | − | 0.954397i | \(-0.403500\pi\) | |||||||
\(480\) | −1.06744 | − | 21.8829i | −0.0487219 | − | 0.998812i | ||||
\(481\) | 1.27610 | − | 2.21028i | 0.0581853 | − | 0.100780i | ||||
\(482\) | −1.65721 | + | 7.75238i | −0.0754839 | + | 0.353111i | ||||
\(483\) | 8.68334 | − | 3.78632i | 0.395106 | − | 0.172283i | ||||
\(484\) | 16.4286 | + | 7.36014i | 0.746752 | + | 0.334552i | ||||
\(485\) | 6.89113 | + | 8.34020i | 0.312910 | + | 0.378709i | ||||
\(486\) | 5.43396 | − | 21.3652i | 0.246489 | − | 0.969145i | ||||
\(487\) | 17.1523i | 0.777245i | 0.921397 | + | 0.388622i | \(0.127049\pi\) | ||||
−0.921397 | + | 0.388622i | \(0.872951\pi\) | |||||||
\(488\) | −1.47756 | + | 13.6029i | −0.0668858 | + | 0.615774i | ||||
\(489\) | −6.32797 | + | 2.75927i | −0.286160 | + | 0.124778i | ||||
\(490\) | 7.90870 | + | 15.1931i | 0.357278 | + | 0.686356i | ||||
\(491\) | 15.2612 | + | 8.81107i | 0.688729 | + | 0.397638i | 0.803136 | − | 0.595796i | \(-0.203163\pi\) |
−0.114406 | + | 0.993434i | \(0.536497\pi\) | |||||||
\(492\) | −26.2291 | − | 0.262547i | −1.18250 | − | 0.0118365i | ||||
\(493\) | −21.5022 | − | 37.2430i | −0.968412 | − | 1.67734i | ||||
\(494\) | 0.466695 | + | 1.44202i | 0.0209976 | + | 0.0648798i | ||||
\(495\) | −29.9505 | − | 1.73534i | −1.34617 | − | 0.0779976i | ||||
\(496\) | 9.26573 | − | 28.0735i | 0.416043 | − | 1.26054i | ||||
\(497\) | −6.93902 | + | 4.00624i | −0.311258 | + | 0.179705i | ||||
\(498\) | 2.67313 | + | 13.1472i | 0.119786 | + | 0.589140i | ||||
\(499\) | 23.8310 | + | 13.7588i | 1.06682 | + | 0.615929i | 0.927311 | − | 0.374291i | \(-0.122114\pi\) |
0.139510 | + | 0.990221i | \(0.455447\pi\) | |||||||
\(500\) | 18.4140 | − | 12.6856i | 0.823500 | − | 0.567316i | ||||
\(501\) | −42.1058 | − | 4.75321i | −1.88115 | − | 0.212358i | ||||
\(502\) | −18.2203 | + | 20.1886i | −0.813211 | + | 0.901060i | ||||
\(503\) | − | 22.1392i | − | 0.987140i | −0.869706 | − | 0.493570i | \(-0.835692\pi\) | ||
0.869706 | − | 0.493570i | \(-0.164308\pi\) | |||||||
\(504\) | −6.99394 | − | 8.06850i | −0.311535 | − | 0.359400i | ||||
\(505\) | 20.0327 | + | 24.2452i | 0.891445 | + | 1.07890i | ||||
\(506\) | −20.4065 | − | 18.4169i | −0.907178 | − | 0.818732i | ||||
\(507\) | −17.9214 | − | 13.2325i | −0.795917 | − | 0.587674i | ||||
\(508\) | −11.8005 | + | 1.21264i | −0.523563 | + | 0.0538021i | ||||
\(509\) | −19.1461 | − | 11.0540i | −0.848634 | − | 0.489959i | 0.0115557 | − | 0.999933i | \(-0.496322\pi\) |
−0.860190 | + | 0.509974i | \(0.829655\pi\) | |||||||
\(510\) | −33.2899 | − | 5.23790i | −1.47410 | − | 0.231938i | ||||
\(511\) | 4.85008 | + | 8.40058i | 0.214555 | + | 0.371620i | ||||
\(512\) | −21.4459 | − | 7.21633i | −0.947782 | − | 0.318920i | ||||
\(513\) | 14.1341 | + | 4.95582i | 0.624038 | + | 0.218805i | ||||
\(514\) | 13.2937 | + | 41.0756i | 0.586359 | + | 1.81177i | ||||
\(515\) | 4.16724 | − | 11.1847i | 0.183630 | − | 0.492855i | ||||
\(516\) | −2.67795 | + | 4.53296i | −0.117890 | + | 0.199552i | ||||
\(517\) | 19.5885 | − | 33.9284i | 0.861503 | − | 1.49217i | ||||
\(518\) | −11.9460 | − | 2.55367i | −0.524877 | − | 0.112202i | ||||
\(519\) | 28.7574 | + | 21.2334i | 1.26231 | + | 0.932041i | ||||
\(520\) | 1.96394 | − | 1.29332i | 0.0861245 | − | 0.0567157i | ||||
\(521\) | −24.6602 | −1.08039 | −0.540193 | − | 0.841541i | \(-0.681649\pi\) | ||||
−0.540193 | + | 0.841541i | \(0.681649\pi\) | |||||||
\(522\) | 24.2759 | − | 17.0312i | 1.06253 | − | 0.745433i | ||||
\(523\) | −1.28881 | −0.0563557 | −0.0281778 | − | 0.999603i | \(-0.508970\pi\) | ||||
−0.0281778 | + | 0.999603i | \(0.508970\pi\) | |||||||
\(524\) | −14.8949 | + | 33.2470i | −0.650689 | + | 1.45240i | ||||
\(525\) | 3.24260 | − | 10.4044i | 0.141519 | − | 0.454087i | ||||
\(526\) | 15.8534 | + | 3.38895i | 0.691240 | + | 0.147765i | ||||
\(527\) | −39.3805 | − | 22.7364i | −1.71544 | − | 0.990412i | ||||
\(528\) | −12.9505 | + | 28.1483i | −0.563600 | + | 1.22500i | ||||
\(529\) | −2.05536 | − | 3.55999i | −0.0893636 | − | 0.154782i | ||||
\(530\) | −12.3394 | + | 19.3681i | −0.535988 | + | 0.841298i | ||||
\(531\) | −2.32011 | + | 0.714583i | −0.100684 | + | 0.0310103i | ||||
\(532\) | 5.87895 | − | 4.25052i | 0.254885 | − | 0.184283i | ||||
\(533\) | −1.40769 | − | 2.43819i | −0.0609738 | − | 0.105610i | ||||
\(534\) | 39.6636 | + | 13.2767i | 1.71641 | + | 0.574540i | ||||
\(535\) | 4.72860 | + | 28.0603i | 0.204435 | + | 1.21315i | ||||
\(536\) | −11.8868 | − | 26.9500i | −0.513432 | − | 1.16406i | ||||
\(537\) | −13.6140 | − | 31.2215i | −0.587485 | − | 1.34731i | ||||
\(538\) | 8.83986 | − | 9.79481i | 0.381114 | − | 0.422284i | ||||
\(539\) | − | 24.2237i | − | 1.04339i | ||||||
\(540\) | 1.57629 | − | 23.1844i | 0.0678328 | − | 0.997697i | ||||
\(541\) | 8.60519i | 0.369966i | 0.982742 | + | 0.184983i | \(0.0592230\pi\) | ||||
−0.982742 | + | 0.184983i | \(0.940777\pi\) | |||||||
\(542\) | −2.00470 | − | 1.80925i | −0.0861092 | − | 0.0777140i | ||||
\(543\) | −7.71995 | − | 17.7045i | −0.331295 | − | 0.759774i | ||||
\(544\) | −17.5767 | + | 30.0403i | −0.753594 | + | 1.28797i | ||||
\(545\) | −20.1315 | + | 3.39247i | −0.862338 | + | 0.145317i | ||||
\(546\) | 0.363791 | − | 1.08681i | 0.0155688 | − | 0.0465111i | ||||
\(547\) | −5.68349 | − | 9.84409i | −0.243008 | − | 0.420903i | 0.718561 | − | 0.695464i | \(-0.244801\pi\) |
−0.961570 | + | 0.274561i | \(0.911468\pi\) | |||||||
\(548\) | 3.50043 | + | 4.84149i | 0.149531 | + | 0.206818i | ||||
\(549\) | −3.23541 | + | 14.1477i | −0.138084 | + | 0.603808i | ||||
\(550\) | −31.3835 | + | 3.88918i | −1.33820 | + | 0.165835i | ||||
\(551\) | 10.0737 | + | 17.4481i | 0.429153 | + | 0.743315i | ||||
\(552\) | 14.4228 | − | 15.6628i | 0.613877 | − | 0.666654i | ||||
\(553\) | 2.56710 | + | 1.48212i | 0.109164 | + | 0.0630260i | ||||
\(554\) | 3.63092 | − | 16.9853i | 0.154263 | − | 0.721637i | ||||
\(555\) | −14.5278 | − | 22.2646i | −0.616670 | − | 0.945081i | ||||
\(556\) | 0.473475 | − | 1.05684i | 0.0200798 | − | 0.0448201i | ||||
\(557\) | 8.27867 | 0.350778 | 0.175389 | − | 0.984499i | \(-0.443882\pi\) | ||||
0.175389 | + | 0.984499i | \(0.443882\pi\) | |||||||
\(558\) | 13.2259 | − | 28.4306i | 0.559896 | − | 1.20356i | ||||
\(559\) | −0.565095 | −0.0239010 | ||||||||
\(560\) | −8.78404 | − | 7.03740i | −0.371193 | − | 0.297385i | ||||
\(561\) | 38.3406 | + | 28.3092i | 1.61874 | + | 1.19521i | ||||
\(562\) | −4.24583 | + | 19.8618i | −0.179100 | + | 0.837821i | ||||
\(563\) | 1.88888 | − | 3.27164i | 0.0796070 | − | 0.137883i | −0.823473 | − | 0.567355i | \(-0.807967\pi\) |
0.903080 | + | 0.429471i | \(0.141300\pi\) | |||||||
\(564\) | 26.1270 | + | 15.4351i | 1.10014 | + | 0.649937i | ||||
\(565\) | 0.692324 | − | 1.85816i | 0.0291263 | − | 0.0781735i | ||||
\(566\) | 42.2718 | − | 13.6808i | 1.77682 | − | 0.575047i | ||||
\(567\) | −6.37198 | − | 9.36300i | −0.267598 | − | 0.393209i | ||||
\(568\) | −10.6362 | + | 14.5329i | −0.446284 | + | 0.609787i | ||||
\(569\) | −21.5011 | − | 37.2409i | −0.901372 | − | 1.56122i | −0.825715 | − | 0.564088i | \(-0.809228\pi\) |
−0.0756567 | − | 0.997134i | \(-0.524105\pi\) | |||||||
\(570\) | 15.5961 | + | 2.45392i | 0.653249 | + | 0.102784i | ||||
\(571\) | −37.5876 | − | 21.7012i | −1.57299 | − | 0.908169i | −0.995799 | − | 0.0915621i | \(-0.970814\pi\) |
−0.577195 | − | 0.816607i | \(-0.695853\pi\) | |||||||
\(572\) | −3.30824 | + | 0.339959i | −0.138324 | + | 0.0142144i | ||||
\(573\) | −8.88895 | − | 6.56325i | −0.371341 | − | 0.274184i | ||||
\(574\) | −9.02849 | + | 10.0038i | −0.376842 | + | 0.417551i | ||||
\(575\) | 21.3410 | + | 4.09777i | 0.889983 | + | 0.170889i | ||||
\(576\) | −21.7016 | − | 10.2489i | −0.904233 | − | 0.427039i | ||||
\(577\) | − | 3.43161i | − | 0.142860i | −0.997446 | − | 0.0714299i | \(-0.977244\pi\) | ||
0.997446 | − | 0.0714299i | \(-0.0227562\pi\) | |||||||
\(578\) | 21.8950 | + | 19.7604i | 0.910713 | + | 0.821923i | ||||
\(579\) | 25.4258 | + | 2.87024i | 1.05666 | + | 0.119283i | ||||
\(580\) | 21.9355 | − | 22.2693i | 0.910824 | − | 0.924681i | ||||
\(581\) | 5.96899 | + | 3.44620i | 0.247635 | + | 0.142972i | ||||
\(582\) | 11.6138 | − | 2.36135i | 0.481407 | − | 0.0978813i | ||||
\(583\) | 28.1268 | − | 16.2390i | 1.16489 | − | 0.672551i | ||||
\(584\) | 17.5940 | + | 12.8765i | 0.728044 | + | 0.532832i | ||||
\(585\) | 2.22855 | − | 1.12006i | 0.0921390 | − | 0.0463088i | ||||
\(586\) | −14.3453 | + | 4.64269i | −0.592597 | + | 0.191788i | ||||
\(587\) | 7.33310 | + | 12.7013i | 0.302669 | + | 0.524238i | 0.976740 | − | 0.214429i | \(-0.0687889\pi\) |
−0.674070 | + | 0.738667i | \(0.735456\pi\) | |||||||
\(588\) | 18.7622 | + | 0.187805i | 0.773739 | + | 0.00774495i | ||||
\(589\) | 18.4496 | + | 10.6519i | 0.760201 | + | 0.438902i | ||||
\(590\) | −2.26986 | + | 1.18156i | −0.0934487 | + | 0.0486442i | ||||
\(591\) | 9.65611 | − | 4.21049i | 0.397199 | − | 0.173196i | ||||
\(592\) | −26.8832 | + | 5.58407i | −1.10489 | + | 0.229504i | ||||
\(593\) | 36.7833i | 1.51051i | 0.655431 | + | 0.755255i | \(0.272487\pi\) | ||||
−0.655431 | + | 0.755255i | \(0.727513\pi\) | |||||||
\(594\) | −17.1169 | + | 28.0547i | −0.702315 | + | 1.15110i | ||||
\(595\) | −13.3463 | + | 11.0274i | −0.547144 | + | 0.452080i | ||||
\(596\) | 2.97047 | − | 6.63039i | 0.121675 | − | 0.271591i | ||||
\(597\) | −15.2395 | + | 6.64509i | −0.623712 | + | 0.271966i | ||||
\(598\) | 2.23482 | + | 0.477733i | 0.0913885 | + | 0.0195359i | ||||
\(599\) | −14.9416 | + | 25.8797i | −0.610499 | + | 1.05742i | 0.380657 | + | 0.924716i | \(0.375698\pi\) |
−0.991156 | + | 0.132699i | \(0.957635\pi\) | |||||||
\(600\) | −2.76901 | − | 24.3379i | −0.113044 | − | 0.993590i | ||||
\(601\) | 9.00456 | + | 15.5963i | 0.367303 | + | 0.636188i | 0.989143 | − | 0.146956i | \(-0.0469477\pi\) |
−0.621839 | + | 0.783145i | \(0.713614\pi\) | |||||||
\(602\) | 0.832839 | + | 2.57336i | 0.0339440 | + | 0.104882i | ||||
\(603\) | −9.19604 | − | 29.8577i | −0.374492 | − | 1.21590i | ||||
\(604\) | −12.6918 | + | 9.17625i | −0.516421 | + | 0.373376i | ||||
\(605\) | 18.8602 | + | 7.02703i | 0.766776 | + | 0.285689i | ||||
\(606\) | 33.7616 | − | 6.86453i | 1.37147 | − | 0.278852i | ||||
\(607\) | 31.0617 | + | 17.9335i | 1.26075 | + | 0.727897i | 0.973220 | − | 0.229874i | \(-0.0738314\pi\) |
0.287534 | + | 0.957771i | \(0.407165\pi\) | |||||||
\(608\) | 8.23457 | − | 14.0737i | 0.333956 | − | 0.570765i | ||||
\(609\) | 1.70893 | − | 15.1384i | 0.0692493 | − | 0.613438i | ||||
\(610\) | −0.667564 | + | 15.2834i | −0.0270289 | + | 0.618806i | ||||
\(611\) | 3.25708i | 0.131768i | ||||||||
\(612\) | −22.2238 | + | 29.4768i | −0.898345 | + | 1.19153i | ||||
\(613\) | −8.74067 | −0.353032 | −0.176516 | − | 0.984298i | \(-0.556483\pi\) | ||||
−0.176516 | + | 0.984298i | \(0.556483\pi\) | |||||||
\(614\) | −17.4138 | − | 15.7161i | −0.702766 | − | 0.634249i | ||||
\(615\) | −29.2829 | + | 1.59855i | −1.18080 | + | 0.0644598i | ||||
\(616\) | 6.42381 | + | 14.5642i | 0.258823 | + | 0.586808i | ||||
\(617\) | −4.05942 | − | 2.34371i | −0.163426 | − | 0.0943542i | 0.416056 | − | 0.909339i | \(-0.363412\pi\) |
−0.579482 | + | 0.814985i | \(0.696745\pi\) | |||||||
\(618\) | −8.66253 | − | 9.79366i | −0.348458 | − | 0.393959i | ||||
\(619\) | 28.0606 | − | 16.2008i | 1.12785 | − | 0.651164i | 0.184457 | − | 0.982841i | \(-0.440947\pi\) |
0.943393 | + | 0.331676i | \(0.107614\pi\) | |||||||
\(620\) | 8.31334 | − | 31.9899i | 0.333872 | − | 1.28475i | ||||
\(621\) | 17.1269 | − | 14.7200i | 0.687280 | − | 0.590693i | ||||
\(622\) | −42.1913 | + | 13.6548i | −1.69172 | + | 0.547506i | ||||
\(623\) | 18.6091 | − | 10.7440i | 0.745557 | − | 0.430448i | ||||
\(624\) | −0.237663 | − | 2.56500i | −0.00951413 | − | 0.102682i | ||||
\(625\) | 19.6298 | − | 15.4813i | 0.785193 | − | 0.619251i | ||||
\(626\) | −15.9105 | − | 3.40116i | −0.635913 | − | 0.135938i | ||||
\(627\) | −17.9623 | − | 13.2627i | −0.717347 | − | 0.529661i | ||||
\(628\) | −2.99520 | − | 1.34187i | −0.119521 | − | 0.0535466i | ||||
\(629\) | 42.2333i | 1.68395i | ||||||||
\(630\) | −8.38503 | − | 8.49772i | −0.334068 | − | 0.338557i | ||||
\(631\) | −17.7843 | −0.707981 | −0.353991 | − | 0.935249i | \(-0.615176\pi\) | ||||
−0.353991 | + | 0.935249i | \(0.615176\pi\) | |||||||
\(632\) | 6.62359 | + | 0.719460i | 0.263472 | + | 0.0286186i | ||||
\(633\) | −12.7249 | − | 1.43647i | −0.505768 | − | 0.0570947i | ||||
\(634\) | 7.19309 | − | 33.6490i | 0.285674 | − | 1.33637i | ||||
\(635\) | −13.0785 | + | 2.20392i | −0.519003 | + | 0.0874601i | ||||
\(636\) | 12.3597 | + | 21.9112i | 0.490093 | + | 0.868835i | ||||
\(637\) | 1.00695 | + | 1.74408i | 0.0398967 | + | 0.0691031i | ||||
\(638\) | −42.0593 | + | 13.6120i | −1.66514 | + | 0.538905i | ||||
\(639\) | −12.9984 | + | 13.9970i | −0.514208 | + | 0.553714i | ||||
\(640\) | −24.4477 | − | 6.50477i | −0.966379 | − | 0.257123i | ||||
\(641\) | 2.56554 | + | 4.44364i | 0.101333 | + | 0.175513i | 0.912234 | − | 0.409670i | \(-0.134356\pi\) |
−0.810901 | + | 0.585183i | \(0.801023\pi\) | |||||||
\(642\) | 29.5598 | + | 9.89465i | 1.16663 | + | 0.390511i | ||||
\(643\) | −3.59767 | + | 6.23134i | −0.141878 | + | 0.245740i | −0.928204 | − | 0.372072i | \(-0.878647\pi\) |
0.786326 | + | 0.617812i | \(0.211981\pi\) | |||||||
\(644\) | −1.11816 | − | 10.8811i | −0.0440616 | − | 0.428776i | ||||
\(645\) | −2.66092 | + | 5.25056i | −0.104774 | + | 0.206741i | ||||
\(646\) | −18.6193 | − | 16.8040i | −0.732565 | − | 0.661143i | ||||
\(647\) | − | 16.1680i | − | 0.635631i | −0.948153 | − | 0.317816i | \(-0.897051\pi\) | ||
0.948153 | − | 0.317816i | \(-0.102949\pi\) | |||||||
\(648\) | −21.5967 | − | 13.4752i | −0.848400 | − | 0.529356i | ||||
\(649\) | 3.61903 | 0.142059 | ||||||||
\(650\) | 2.09792 | − | 1.58459i | 0.0822870 | − | 0.0621527i | ||||
\(651\) | −6.43871 | − | 14.7662i | −0.252353 | − | 0.578733i | ||||
\(652\) | 0.814855 | + | 7.92958i | 0.0319122 | + | 0.310546i | ||||
\(653\) | 22.1523 | − | 38.3690i | 0.866888 | − | 1.50149i | 0.00172690 | − | 0.999999i | \(-0.499450\pi\) |
0.865161 | − | 0.501495i | \(-0.167216\pi\) | |||||||
\(654\) | −7.09878 | + | 21.2073i | −0.277584 | + | 0.829271i | ||||
\(655\) | −14.2208 | + | 38.1680i | −0.555653 | + | 1.49135i | ||||
\(656\) | −9.49302 | + | 28.7622i | −0.370640 | + | 1.12297i | ||||
\(657\) | 16.9452 | + | 15.7362i | 0.661097 | + | 0.613929i | ||||
\(658\) | 14.8323 | − | 4.80030i | 0.578222 | − | 0.187135i | ||||
\(659\) | 17.4430 | − | 10.0707i | 0.679482 | − | 0.392299i | −0.120178 | − | 0.992752i | \(-0.538346\pi\) |
0.799660 | + | 0.600453i | \(0.205013\pi\) | |||||||
\(660\) | −12.4191 | + | 32.3392i | −0.483413 | + | 1.25880i | ||||
\(661\) | 34.8999 | + | 20.1494i | 1.35745 | + | 0.783723i | 0.989279 | − | 0.146036i | \(-0.0466517\pi\) |
0.368168 | + | 0.929759i | \(0.379985\pi\) | |||||||
\(662\) | −13.9632 | − | 2.98490i | −0.542697 | − | 0.116011i | ||||
\(663\) | −3.93727 | − | 0.444467i | −0.152911 | − | 0.0172617i | ||||
\(664\) | 15.4011 | + | 1.67288i | 0.597678 | + | 0.0649203i | ||||
\(665\) | 6.25266 | − | 5.16629i | 0.242468 | − | 0.200340i | ||||
\(666\) | −29.0094 | + | 2.56463i | −1.12409 | + | 0.0993776i | ||||
\(667\) | 30.3780 | 1.17624 | ||||||||
\(668\) | −20.0045 | + | 44.6521i | −0.773999 | + | 1.72764i | ||||
\(669\) | 1.49895 | − | 2.03011i | 0.0579529 | − | 0.0784886i | ||||
\(670\) | −15.2056 | − | 29.2111i | −0.587445 | − | 1.12852i | ||||
\(671\) | 10.8175 | − | 18.7365i | 0.417607 | − | 0.723316i | ||||
\(672\) | −11.3303 | + | 4.86258i | −0.437077 | + | 0.187578i | ||||
\(673\) | 34.3878 | − | 19.8538i | 1.32555 | − | 0.765308i | 0.340944 | − | 0.940084i | \(-0.389253\pi\) |
0.984608 | + | 0.174775i | \(0.0559200\pi\) | |||||||
\(674\) | −1.24250 | − | 3.83916i | −0.0478593 | − | 0.147879i | ||||
\(675\) | 0.0867669 | − | 25.9806i | 0.00333966 | − | 0.999994i | ||||
\(676\) | −20.8457 | + | 15.0716i | −0.801760 | + | 0.579678i | ||||
\(677\) | 19.9651 | + | 34.5806i | 0.767323 | + | 1.32904i | 0.939010 | + | 0.343890i | \(0.111745\pi\) |
−0.171687 | + | 0.985151i | \(0.554922\pi\) | |||||||
\(678\) | −1.43915 | − | 1.62707i | −0.0552702 | − | 0.0624872i | ||||
\(679\) | 3.04426 | − | 5.27281i | 0.116828 | − | 0.202352i | ||||
\(680\) | −17.4441 | + | 34.7837i | −0.668950 | + | 1.33389i | ||||
\(681\) | −7.14778 | − | 5.27764i | −0.273904 | − | 0.202240i | ||||
\(682\) | −31.3184 | + | 34.7016i | −1.19924 | + | 1.32879i | ||||
\(683\) | −35.7856 | −1.36930 | −0.684649 | − | 0.728873i | \(-0.740044\pi\) | ||||
−0.684649 | + | 0.728873i | \(0.740044\pi\) | |||||||
\(684\) | 10.4117 | − | 13.8097i | 0.398102 | − | 0.528028i | ||||
\(685\) | 4.25459 | + | 5.14925i | 0.162560 | + | 0.196743i | ||||
\(686\) | 14.8046 | − | 16.4040i | 0.565244 | − | 0.626306i | ||||
\(687\) | 45.8556 | + | 5.17651i | 1.74950 | + | 0.197496i | ||||
\(688\) | 4.04691 | + | 4.53667i | 0.154287 | + | 0.172959i | ||||
\(689\) | −1.35007 | + | 2.33839i | −0.0514335 | + | 0.0890855i | ||||
\(690\) | 14.9622 | − | 18.5152i | 0.569599 | − | 0.704861i | ||||
\(691\) | 10.5688 | − | 6.10193i | 0.402058 | − | 0.232128i | −0.285314 | − | 0.958434i | \(-0.592098\pi\) |
0.687372 | + | 0.726306i | \(0.258764\pi\) | |||||||
\(692\) | 33.4500 | − | 24.1846i | 1.27158 | − | 0.919360i | ||||
\(693\) | 4.96968 | + | 16.1355i | 0.188783 | + | 0.612939i | ||||
\(694\) | 23.8657 | − | 7.72386i | 0.905929 | − | 0.293194i | ||||
\(695\) | 0.452046 | − | 1.21327i | 0.0171471 | − | 0.0460219i | ||||
\(696\) | −10.2170 | − | 32.6821i | −0.387273 | − | 1.23881i | ||||
\(697\) | 40.3466 | + | 23.2941i | 1.52824 | + | 0.882327i | ||||
\(698\) | 9.08100 | + | 1.94123i | 0.343721 | + | 0.0734766i | ||||
\(699\) | 5.53834 | + | 12.7013i | 0.209479 | + | 0.480409i | ||||
\(700\) | −10.3079 | − | 7.21822i | −0.389602 | − | 0.272823i | ||||
\(701\) | 23.5648i | 0.890029i | 0.895523 | + | 0.445015i | \(0.146802\pi\) | ||||
−0.895523 | + | 0.445015i | \(0.853198\pi\) | |||||||
\(702\) | 0.0662056 | − | 2.73144i | 0.00249877 | − | 0.103092i | ||||
\(703\) | − | 19.7861i | − | 0.746246i | ||||||
\(704\) | 26.4211 | + | 24.1244i | 0.995782 | + | 0.909223i | ||||
\(705\) | 30.2631 | + | 15.3370i | 1.13977 | + | 0.577624i | ||||
\(706\) | −28.8029 | − | 6.15714i | −1.08401 | − | 0.231727i | ||||
\(707\) | 8.84975 | − | 15.3282i | 0.332829 | − | 0.576477i | ||||
\(708\) | −0.0280582 | + | 2.80308i | −0.00105449 | + | 0.105346i | ||||
\(709\) | 11.5103 | − | 6.64548i | 0.432279 | − | 0.249576i | −0.268038 | − | 0.963408i | \(-0.586375\pi\) |
0.700317 | + | 0.713832i | \(0.253042\pi\) | |||||||
\(710\) | −10.8188 | + | 16.9815i | −0.406023 | + | 0.637303i | ||||
\(711\) | 6.88886 | + | 1.57540i | 0.258352 | + | 0.0590823i | ||||
\(712\) | 28.5241 | − | 38.9744i | 1.06899 | − | 1.46063i | ||||
\(713\) | 27.8181 | − | 16.0608i | 1.04180 | − | 0.601481i | ||||
\(714\) | 3.77872 | + | 18.5848i | 0.141415 | + | 0.695518i | ||||
\(715\) | −3.66650 | + | 0.617863i | −0.137119 | + | 0.0231068i | ||||
\(716\) | −39.1237 | + | 4.02041i | −1.46212 | + | 0.150250i | ||||
\(717\) | −0.181421 | + | 1.60710i | −0.00677530 | + | 0.0600183i | ||||
\(718\) | 33.6427 | + | 30.3627i | 1.25553 | + | 1.13313i | ||||
\(719\) | −44.7322 | −1.66823 | −0.834115 | − | 0.551591i | \(-0.814021\pi\) | ||||
−0.834115 | + | 0.551591i | \(0.814021\pi\) | |||||||
\(720\) | −24.9517 | − | 9.86982i | −0.929894 | − | 0.367826i | ||||
\(721\) | −6.71710 | −0.250158 | ||||||||
\(722\) | −11.2245 | − | 10.1301i | −0.417732 | − | 0.377005i | ||||
\(723\) | 7.81078 | + | 5.76717i | 0.290486 | + | 0.214484i | ||||
\(724\) | −22.1856 | + | 2.27982i | −0.824521 | + | 0.0847288i | ||||
\(725\) | 22.8677 | − | 26.4278i | 0.849285 | − | 0.981504i | ||||
\(726\) | 16.5146 | − | 14.6072i | 0.612914 | − | 0.542126i | ||||
\(727\) | −39.3588 | + | 22.7238i | −1.45974 | + | 0.842780i | −0.998998 | − | 0.0447553i | \(-0.985749\pi\) |
−0.460740 | + | 0.887535i | \(0.652416\pi\) | |||||||
\(728\) | −1.06792 | − | 0.781580i | −0.0395799 | − | 0.0289673i | ||||
\(729\) | −21.0881 | − | 16.8610i | −0.781039 | − | 0.624482i | ||||
\(730\) | 20.5583 | + | 13.0976i | 0.760895 | + | 0.484763i | ||||
\(731\) | 8.09826 | − | 4.67553i | 0.299525 | − | 0.172931i | ||||
\(732\) | 14.4283 | + | 8.52388i | 0.533286 | + | 0.315052i | ||||
\(733\) | 3.53846 | − | 6.12880i | 0.130696 | − | 0.226372i | −0.793249 | − | 0.608897i | \(-0.791612\pi\) |
0.923945 | + | 0.382525i | \(0.124945\pi\) | |||||||
\(734\) | −46.3990 | − | 9.91863i | −1.71262 | − | 0.366103i | ||||
\(735\) | 20.9466 | − | 1.14347i | 0.772627 | − | 0.0421777i | ||||
\(736\) | −12.1693 | − | 21.3627i | −0.448565 | − | 0.787440i | ||||
\(737\) | 46.5736i | 1.71556i | ||||||||
\(738\) | −13.5503 | + | 29.1280i | −0.498794 | + | 1.07222i | ||||
\(739\) | − | 10.1856i | − | 0.374682i | −0.982295 | − | 0.187341i | \(-0.940013\pi\) | ||
0.982295 | − | 0.187341i | \(-0.0599869\pi\) | |||||||
\(740\) | −29.5911 | + | 8.16883i | −1.08779 | + | 0.300292i | ||||
\(741\) | 1.84459 | + | 0.208230i | 0.0677626 | + | 0.00764953i | ||||
\(742\) | 12.6384 | + | 2.70169i | 0.463971 | + | 0.0991822i | ||||
\(743\) | 16.3550 | + | 9.44258i | 0.600008 | + | 0.346415i | 0.769045 | − | 0.639195i | \(-0.220732\pi\) |
−0.169037 | + | 0.985610i | \(0.554066\pi\) | |||||||
\(744\) | −26.6349 | − | 24.5263i | −0.976484 | − | 0.899179i | ||||
\(745\) | 2.83603 | − | 7.61177i | 0.103904 | − | 0.278874i | ||||
\(746\) | 32.8499 | − | 10.6315i | 1.20272 | − | 0.389246i | ||||
\(747\) | 16.0179 | + | 3.66311i | 0.586064 | + | 0.134026i | ||||
\(748\) | 44.5969 | − | 32.2439i | 1.63062 | − | 1.17895i | ||||
\(749\) | 13.8687 | − | 8.00708i | 0.506750 | − | 0.292572i | ||||
\(750\) | −4.84449 | − | 26.9542i | −0.176896 | − | 0.984230i | ||||
\(751\) | −13.5515 | + | 23.4719i | −0.494501 | + | 0.856501i | −0.999980 | − | 0.00633801i | \(-0.997983\pi\) |
0.505479 | + | 0.862839i | \(0.331316\pi\) | |||||||
\(752\) | 26.1484 | − | 23.3255i | 0.953533 | − | 0.850594i | ||||
\(753\) | 13.3126 | + | 30.5305i | 0.485139 | + | 1.11259i | ||||
\(754\) | 2.46240 | − | 2.72841i | 0.0896753 | − | 0.0993627i | ||||
\(755\) | −13.4986 | + | 11.1532i | −0.491263 | + | 0.405908i | ||||
\(756\) | −12.5361 | + | 3.72411i | −0.455935 | + | 0.135445i | ||||
\(757\) | −14.6015 | −0.530700 | −0.265350 | − | 0.964152i | \(-0.585488\pi\) | ||||
−0.265350 | + | 0.964152i | \(0.585488\pi\) | |||||||
\(758\) | 16.5884 | − | 18.3804i | 0.602517 | − | 0.667605i | ||||
\(759\) | −30.8600 | + | 13.4563i | −1.12015 | + | 0.488433i | ||||
\(760\) | 8.17245 | − | 16.2960i | 0.296446 | − | 0.591116i | ||||
\(761\) | −0.938494 | + | 1.62552i | −0.0340204 | + | 0.0589250i | −0.882534 | − | 0.470248i | \(-0.844164\pi\) |
0.848514 | + | 0.529173i | \(0.177498\pi\) | |||||||
\(762\) | −4.61174 | + | 13.7774i | −0.167066 | + | 0.499101i | ||||
\(763\) | 5.74457 | + | 9.94989i | 0.207967 | + | 0.360210i | ||||
\(764\) | −10.3394 | + | 7.47547i | −0.374067 | + | 0.270453i | ||||
\(765\) | −22.6696 | + | 34.4901i | −0.819620 | + | 1.24699i | ||||
\(766\) | −6.21109 | − | 19.1914i | −0.224416 | − | 0.693415i | ||||
\(767\) | −0.260567 | + | 0.150438i | −0.00940853 | + | 0.00543202i | ||||
\(768\) | −18.8902 | + | 20.2771i | −0.681640 | + | 0.731688i | ||||
\(769\) | −22.2231 | + | 38.4915i | −0.801385 | + | 1.38804i | 0.117319 | + | 0.993094i | \(0.462570\pi\) |
−0.918705 | + | 0.394946i | \(0.870763\pi\) | |||||||
\(770\) | 8.21736 | + | 15.7861i | 0.296133 | + | 0.568892i | ||||
\(771\) | 52.5425 | + | 5.93138i | 1.89227 | + | 0.213613i | ||||
\(772\) | 12.0798 | − | 26.9633i | 0.434762 | − | 0.970432i | ||||
\(773\) | −6.05291 | −0.217708 | −0.108854 | − | 0.994058i | \(-0.534718\pi\) | ||||
−0.108854 | + | 0.994058i | \(0.534718\pi\) | |||||||
\(774\) | 3.70332 | + | 5.27865i | 0.133113 | + | 0.189737i | ||||
\(775\) | 6.96833 | − | 36.2909i | 0.250310 | − | 1.30361i | ||||
\(776\) | 1.47776 | − | 13.6048i | 0.0530487 | − | 0.488384i | ||||
\(777\) | −8.88690 | + | 12.0360i | −0.318816 | + | 0.431789i | ||||
\(778\) | −41.0257 | − | 8.76998i | −1.47084 | − | 0.314419i | ||||
\(779\) | −18.9021 | − | 10.9132i | −0.677239 | − | 0.391004i | ||||
\(780\) | −0.450133 | − | 2.84464i | −0.0161174 | − | 0.101855i | ||||
\(781\) | 24.6608 | − | 14.2379i | 0.882432 | − | 0.509472i | ||||
\(782\) | −35.9794 | + | 11.6443i | −1.28662 | + | 0.416401i | ||||
\(783\) | −6.72947 | − | 35.6901i | −0.240492 | − | 1.27546i | ||||
\(784\) | 6.79054 | − | 20.5741i | 0.242519 | − | 0.734790i | ||||
\(785\) | −3.43853 | − | 1.28114i | −0.122726 | − | 0.0457259i | ||||
\(786\) | 29.5611 | + | 33.4211i | 1.05441 | + | 1.19209i | ||||
\(787\) | 9.63082 | − | 16.6811i | 0.343302 | − | 0.594616i | −0.641742 | − | 0.766921i | \(-0.721788\pi\) |
0.985044 | + | 0.172305i | \(0.0551213\pi\) | |||||||
\(788\) | −1.24342 | − | 12.1001i | −0.0442950 | − | 0.431048i | ||||
\(789\) | 11.7937 | − | 15.9728i | 0.419866 | − | 0.568647i | ||||
\(790\) | 7.44186 | + | 0.325053i | 0.264770 | + | 0.0115649i | ||||
\(791\) | −1.11595 | −0.0396785 | ||||||||
\(792\) | 24.8560 | + | 28.6749i | 0.883219 | + | 1.01892i | ||||
\(793\) | 1.79869i | 0.0638732i | ||||||||
\(794\) | 3.34591 | + | 3.01970i | 0.118742 | + | 0.107165i | ||||
\(795\) | 15.3699 | + | 23.5551i | 0.545113 | + | 0.835415i | ||||
\(796\) | 1.96240 | + | 19.0967i | 0.0695554 | + | 0.676863i | ||||
\(797\) | 4.55380 | − | 7.88741i | 0.161304 | − | 0.279387i | −0.774033 | − | 0.633146i | \(-0.781763\pi\) |
0.935337 | + | 0.353759i | \(0.115097\pi\) | |||||||
\(798\) | −1.77031 | − | 8.70686i | −0.0626682 | − | 0.308220i | ||||
\(799\) | −26.9487 | − | 46.6766i | −0.953378 | − | 1.65130i | ||||
\(800\) | −27.7455 | − | 5.49440i | −0.980951 | − | 0.194256i | ||||
\(801\) | 34.8591 | − | 37.5373i | 1.23169 | − | 1.32632i | ||||
\(802\) | 25.0596 | − | 8.11027i | 0.884886 | − | 0.286383i | ||||
\(803\) | −17.2368 | − | 29.8551i | −0.608275 | − | 1.05356i | ||||
\(804\) | −36.0731 | − | 0.361083i | −1.27220 | − | 0.0127344i | ||||
\(805\) | −2.03221 | − | 12.0595i | −0.0716261 | − | 0.425041i | ||||
\(806\) | 0.812394 | − | 3.80035i | 0.0286154 | − | 0.133862i | ||||
\(807\) | −6.45883 | − | 14.8124i | −0.227362 | − | 0.521419i | ||||
\(808\) | 4.29591 | − | 39.5496i | 0.151130 | − | 1.39135i | ||||
\(809\) | 27.7682 | 0.976279 | 0.488140 | − | 0.872766i | \(-0.337676\pi\) | ||||
0.488140 | + | 0.872766i | \(0.337676\pi\) | |||||||
\(810\) | −25.0673 | − | 13.4770i | −0.880777 | − | 0.473532i | ||||
\(811\) | − | 12.9219i | − | 0.453748i | −0.973924 | − | 0.226874i | \(-0.927149\pi\) | ||
0.973924 | − | 0.226874i | \(-0.0728505\pi\) | |||||||
\(812\) | −16.0538 | − | 7.19227i | −0.563380 | − | 0.252399i | ||||
\(813\) | −3.03164 | + | 1.32193i | −0.106324 | + | 0.0463620i | ||||
\(814\) | 42.4552 | + | 9.07557i | 1.48805 | + | 0.318099i | ||||
\(815\) | 1.48097 | + | 8.78832i | 0.0518761 | + | 0.307841i | ||||
\(816\) | 24.6284 | + | 34.7920i | 0.862166 | + | 1.21796i | ||||
\(817\) | −3.79399 | + | 2.19046i | −0.132735 | + | 0.0766345i | ||||
\(818\) | 10.6946 | − | 3.46119i | 0.373928 | − | 0.121018i | ||||
\(819\) | −1.02855 | − | 0.955163i | −0.0359403 | − | 0.0333761i | ||||
\(820\) | −8.51728 | + | 32.7747i | −0.297436 | + | 1.14454i | ||||
\(821\) | −23.5459 | + | 13.5943i | −0.821759 | + | 0.474443i | −0.851023 | − | 0.525129i | \(-0.824017\pi\) |
0.0292636 | + | 0.999572i | \(0.490684\pi\) | |||||||
\(822\) | 7.17036 | − | 1.45790i | 0.250095 | − | 0.0508502i | ||||
\(823\) | −38.1352 | − | 22.0174i | −1.32931 | − | 0.767478i | −0.344118 | − | 0.938926i | \(-0.611822\pi\) |
−0.985193 | + | 0.171448i | \(0.945155\pi\) | |||||||
\(824\) | −13.8137 | + | 6.09279i | −0.481223 | + | 0.212253i | ||||
\(825\) | −11.5240 | + | 36.9766i | −0.401214 | + | 1.28736i | ||||
\(826\) | 1.06910 | + | 0.964866i | 0.0371987 | + | 0.0335720i | ||||
\(827\) | −34.9371 | −1.21488 | −0.607441 | − | 0.794365i | \(-0.707804\pi\) | ||||
−0.607441 | + | 0.794365i | \(0.707804\pi\) | |||||||
\(828\) | −10.1832 | − | 24.0066i | −0.353890 | − | 0.834287i | ||||
\(829\) | − | 38.0705i | − | 1.32224i | −0.750279 | − | 0.661121i | \(-0.770081\pi\) | ||
0.750279 | − | 0.661121i | \(-0.229919\pi\) | |||||||
\(830\) | 17.3037 | + | 0.755810i | 0.600621 | + | 0.0262346i | ||||
\(831\) | −17.1133 | − | 12.6358i | −0.593653 | − | 0.438330i | ||||
\(832\) | −2.90512 | − | 0.638647i | −0.100717 | − | 0.0221411i | ||||
\(833\) | −28.8607 | − | 16.6627i | −0.999964 | − | 0.577329i | ||||
\(834\) | −0.939678 | − | 1.06238i | −0.0325384 | − | 0.0367871i | ||||
\(835\) | −19.0991 | + | 51.2612i | −0.660953 | + | 1.77397i | ||||
\(836\) | −20.8934 | + | 15.1061i | −0.722612 | + | 0.522454i | ||||
\(837\) | −25.0317 | − | 29.1247i | −0.865221 | − | 1.00670i | ||||
\(838\) | 7.83713 | + | 24.2157i | 0.270729 | + | 0.836516i | ||||
\(839\) | −5.06506 | − | 8.77295i | −0.174865 | − | 0.302876i | 0.765249 | − | 0.643734i | \(-0.222616\pi\) |
−0.940115 | + | 0.340858i | \(0.889282\pi\) | |||||||
\(840\) | −12.2907 | + | 6.24228i | −0.424068 | + | 0.215379i | ||||
\(841\) | 9.92721 | − | 17.1944i | 0.342318 | − | 0.592912i | ||||
\(842\) | 12.6600 | + | 2.70631i | 0.436293 | + | 0.0932656i | ||||
\(843\) | 20.0115 | + | 14.7757i | 0.689232 | + | 0.508902i | ||||
\(844\) | −6.04560 | + | 13.4944i | −0.208098 | + | 0.464495i | ||||
\(845\) | −22.1709 | + | 18.3188i | −0.762701 | + | 0.630185i | ||||
\(846\) | 30.4250 | − | 21.3451i | 1.04603 | − | 0.733861i | ||||
\(847\) | − | 11.3268i | − | 0.389192i | ||||||
\(848\) | 28.4414 | − | 5.90774i | 0.976682 | − | 0.202873i | ||||
\(849\) | 6.10411 | − | 54.0726i | 0.209492 | − | 1.85577i | ||||
\(850\) | −16.9541 | + | 40.0663i | −0.581520 | + | 1.37426i | ||||
\(851\) | −25.8364 | − | 14.9166i | −0.885660 | − | 0.511336i | ||||
\(852\) | 10.8366 | + | 19.2111i | 0.371257 | + | 0.658163i | ||||
\(853\) | 0.859119 | + | 1.48804i | 0.0294157 | + | 0.0509495i | 0.880358 | − | 0.474309i | \(-0.157302\pi\) |
−0.850943 | + | 0.525258i | \(0.823969\pi\) | |||||||
\(854\) | 8.19095 | − | 2.65091i | 0.280289 | − | 0.0907123i | ||||
\(855\) | 10.6206 | − | 16.1584i | 0.363215 | − | 0.552606i | ||||
\(856\) | 21.2580 | − | 29.0462i | 0.726583 | − | 0.992779i | ||||
\(857\) | 19.1841 | − | 11.0759i | 0.655315 | − | 0.378346i | −0.135175 | − | 0.990822i | \(-0.543160\pi\) |
0.790490 | + | 0.612475i | \(0.209826\pi\) | |||||||
\(858\) | −1.29289 | + | 3.86244i | −0.0441384 | + | 0.131862i | ||||
\(859\) | −33.1304 | − | 19.1279i | −1.13040 | − | 0.652634i | −0.186361 | − | 0.982481i | \(-0.559669\pi\) |
−0.944034 | + | 0.329847i | \(0.893003\pi\) | |||||||
\(860\) | 4.84232 | + | 4.76975i | 0.165122 | + | 0.162647i | ||||
\(861\) | 6.59665 | + | 15.1284i | 0.224813 | + | 0.515575i | ||||
\(862\) | 18.3880 | + | 16.5953i | 0.626298 | + | 0.565237i | ||||
\(863\) | 19.0063i | 0.646981i | 0.946231 | + | 0.323491i | \(0.104856\pi\) | ||||
−0.946231 | + | 0.323491i | \(0.895144\pi\) | |||||||
\(864\) | −22.4025 | + | 19.0296i | −0.762150 | + | 0.647401i | ||||
\(865\) | 35.5763 | − | 29.3951i | 1.20963 | − | 0.999463i | ||||
\(866\) | 5.03384 | − | 5.57763i | 0.171057 | − | 0.189536i | ||||
\(867\) | 33.1111 | − | 14.4379i | 1.12451 | − | 0.490336i | ||||
\(868\) | −18.5035 | + | 1.90145i | −0.628051 | + | 0.0645394i | ||||
\(869\) | −9.12329 | − | 5.26734i | −0.309487 | − | 0.178682i | ||||
\(870\) | −13.7560 | − | 35.7268i | −0.466370 | − | 1.21125i | ||||
\(871\) | −1.93601 | − | 3.35326i | −0.0655990 | − | 0.113621i | ||||
\(872\) | 20.8388 | + | 15.2513i | 0.705691 | + | 0.516473i | ||||
\(873\) | 3.23587 | − | 14.1497i | 0.109518 | − | 0.478894i | ||||
\(874\) | 16.8561 | − | 5.45530i | 0.570167 | − | 0.184528i | ||||
\(875\) | −12.0211 | − | 7.31007i | −0.406388 | − | 0.247126i | ||||
\(876\) | 23.2576 | − | 13.1191i | 0.785800 | − | 0.443255i | ||||
\(877\) | 16.1696 | − | 28.0065i | 0.546008 | − | 0.945713i | −0.452535 | − | 0.891747i | \(-0.649480\pi\) |
0.998543 | − | 0.0539665i | \(-0.0171864\pi\) | |||||||
\(878\) | −1.06543 | + | 4.98406i | −0.0359566 | + | 0.168204i | ||||
\(879\) | −2.07147 | + | 18.3500i | −0.0698691 | + | 0.618928i | ||||
\(880\) | 31.2179 | + | 25.0104i | 1.05235 | + | 0.843102i | ||||
\(881\) | 28.4065 | 0.957040 | 0.478520 | − | 0.878077i | \(-0.341173\pi\) | ||||
0.478520 | + | 0.878077i | \(0.341173\pi\) | |||||||
\(882\) | 9.69280 | − | 20.8358i | 0.326373 | − | 0.701579i | ||||
\(883\) | 0.119595 | 0.00402468 | 0.00201234 | − | 0.999998i | \(-0.499359\pi\) | ||||
0.00201234 | + | 0.999998i | \(0.499359\pi\) | |||||||
\(884\) | −1.87060 | + | 4.17537i | −0.0629151 | + | 0.140433i | ||||
\(885\) | 0.170836 | + | 3.12943i | 0.00574258 | + | 0.105195i | ||||
\(886\) | 3.48478 | − | 16.3017i | 0.117074 | − | 0.547666i | ||||
\(887\) | 24.6042 | + | 14.2052i | 0.826128 | + | 0.476965i | 0.852525 | − | 0.522686i | \(-0.175070\pi\) |
−0.0263972 | + | 0.999652i | \(0.508403\pi\) | |||||||
\(888\) | −7.35854 | + | 32.8129i | −0.246936 | + | 1.10113i | ||||
\(889\) | 3.73197 | + | 6.46397i | 0.125166 | + | 0.216795i | ||||
\(890\) | 29.0139 | − | 45.5410i | 0.972550 | − | 1.52654i | ||||
\(891\) | 22.6456 | + | 33.2754i | 0.758656 | + | 1.11477i | ||||
\(892\) | −1.70729 | − | 2.36138i | −0.0571644 | − | 0.0790647i | ||||
\(893\) | 12.6253 | + | 21.8677i | 0.422490 | + | 0.731775i | ||||
\(894\) | −5.89532 | − | 6.66512i | −0.197169 | − | 0.222915i | ||||
\(895\) | −43.3607 | + | 7.30695i | −1.44939 | + | 0.244244i | ||||
\(896\) | 1.37327 | + | 14.1707i | 0.0458777 | + | 0.473410i | ||||
\(897\) | 1.66253 | − | 2.25165i | 0.0555103 | − | 0.0751805i | ||||
\(898\) | −42.0662 | − | 37.9649i | −1.40377 | − | 1.26691i | ||||
\(899\) | − | 51.6584i | − | 1.72291i | ||||||
\(900\) | −28.5505 | − | 9.21246i | −0.951683 | − | 0.307082i | ||||
\(901\) | − | 44.6813i | − | 1.48855i | ||||||
\(902\) | 32.0866 | − | 35.5529i | 1.06837 | − | 1.18378i | ||||
\(903\) | 3.29175 | + | 0.371596i | 0.109543 | + | 0.0123660i | ||||
\(904\) | −2.29494 | + | 1.01223i | −0.0763285 | + | 0.0336661i | ||||
\(905\) | −24.5882 | + | 4.14349i | −0.817339 | + | 0.137734i | ||||
\(906\) | 3.82183 | + | 18.7968i | 0.126972 | + | 0.624483i | ||||
\(907\) | 8.25667 | + | 14.3010i | 0.274158 | + | 0.474856i | 0.969922 | − | 0.243414i | \(-0.0782675\pi\) |
−0.695764 | + | 0.718270i | \(0.744934\pi\) | |||||||
\(908\) | −8.31413 | + | 6.01118i | −0.275914 | + | 0.199488i | ||||
\(909\) | 9.40678 | − | 41.1335i | 0.312003 | − | 1.36431i | ||||
\(910\) | −1.24785 | − | 0.795001i | −0.0413659 | − | 0.0263540i | ||||
\(911\) | 28.9308 | + | 50.1096i | 0.958519 | + | 1.66020i | 0.726101 | + | 0.687588i | \(0.241330\pi\) |
0.232418 | + | 0.972616i | \(0.425336\pi\) | |||||||
\(912\) | −11.5382 | − | 16.2999i | −0.382070 | − | 0.539742i | ||||
\(913\) | −21.2134 | − | 12.2475i | −0.702060 | − | 0.405335i | ||||
\(914\) | 7.53784 | + | 1.61135i | 0.249329 | + | 0.0532987i | ||||
\(915\) | 16.7124 | + | 8.46966i | 0.552496 | + | 0.279998i | ||||
\(916\) | 21.7861 | − | 48.6287i | 0.719832 | − | 1.60674i | ||||
\(917\) | 22.9223 | 0.756961 | ||||||||
\(918\) | 21.6508 | + | 39.6915i | 0.714584 | + | 1.31001i | ||||
\(919\) | 11.5750 | 0.381823 | 0.190911 | − | 0.981607i | \(-0.438856\pi\) | ||||
0.190911 | + | 0.981607i | \(0.438856\pi\) | |||||||
\(920\) | −15.1179 | − | 22.9569i | −0.498421 | − | 0.756868i | ||||
\(921\) | −26.3343 | + | 11.4829i | −0.867746 | + | 0.378375i | ||||
\(922\) | 20.3813 | + | 4.35688i | 0.671224 | + | 0.143486i | ||||
\(923\) | −1.18370 | + | 2.05024i | −0.0389621 | + | 0.0674843i | ||||
\(924\) | 19.4944 | + | 0.195135i | 0.641320 | + | 0.00641947i | ||||
\(925\) | −32.4258 | + | 11.2479i | −1.06615 | + | 0.369830i | ||||
\(926\) | 6.32057 | + | 19.5297i | 0.207707 | + | 0.641786i | ||||
\(927\) | −15.3041 | + | 4.71359i | −0.502652 | + | 0.154815i | ||||
\(928\) | −39.5385 | − | 0.229115i | −1.29791 | − | 0.00752107i | ||||
\(929\) | 15.7361 | + | 27.2557i | 0.516285 | + | 0.894232i | 0.999821 | + | 0.0189077i | \(0.00601887\pi\) |
−0.483536 | + | 0.875324i | \(0.660648\pi\) | |||||||
\(930\) | −31.4854 | − | 25.4434i | −1.03245 | − | 0.834323i | ||||
\(931\) | 13.5211 | + | 7.80639i | 0.443135 | + | 0.255844i | ||||
\(932\) | 15.9161 | − | 1.63556i | 0.521348 | − | 0.0535744i | ||||
\(933\) | −6.09248 | + | 53.9696i | −0.199459 | + | 1.76689i | ||||
\(934\) | −17.0635 | − | 15.3999i | −0.558336 | − | 0.503900i | ||||
\(935\) | 47.4318 | − | 39.1907i | 1.55118 | − | 1.28167i | ||||
\(936\) | −2.98159 | − | 1.03134i | −0.0974563 | − | 0.0337103i | ||||
\(937\) | − | 10.8895i | − | 0.355744i | −0.984054 | − | 0.177872i | \(-0.943079\pi\) | ||
0.984054 | − | 0.177872i | \(-0.0569214\pi\) | |||||||
\(938\) | −12.4170 | + | 13.7583i | −0.405428 | + | 0.449225i | ||||
\(939\) | −11.8362 | + | 16.0304i | −0.386260 | + | 0.523132i | ||||
\(940\) | 27.4918 | − | 27.9101i | 0.896684 | − | 0.910326i | ||||
\(941\) | 19.1338 | + | 11.0469i | 0.623744 | + | 0.360119i | 0.778325 | − | 0.627861i | \(-0.216069\pi\) |
−0.154581 | + | 0.987980i | \(0.549403\pi\) | |||||||
\(942\) | −3.01088 | + | 2.66314i | −0.0980999 | + | 0.0867698i | ||||
\(943\) | −28.5005 | + | 16.4548i | −0.928104 | + | 0.535841i | ||||
\(944\) | 3.07378 | + | 1.01451i | 0.100043 | + | 0.0330195i | ||||
\(945\) | −13.7181 | + | 5.05904i | −0.446250 | + | 0.164571i | ||||
\(946\) | −2.95985 | − | 9.14554i | −0.0962331 | − | 0.297347i | ||||
\(947\) | 5.65034 | + | 9.78667i | 0.183611 | + | 0.318024i | 0.943108 | − | 0.332487i | \(-0.107888\pi\) |
−0.759496 | + | 0.650512i | \(0.774555\pi\) | |||||||
\(948\) | 4.15049 | − | 7.02551i | 0.134802 | − | 0.228178i | ||||
\(949\) | 2.48208 | + | 1.43303i | 0.0805716 | + | 0.0465180i | ||||
\(950\) | 7.94289 | − | 18.7708i | 0.257701 | − | 0.609006i | ||||
\(951\) | −33.9025 | − | 25.0323i | −1.09936 | − | 0.811727i | ||||
\(952\) | 21.7709 | + | 2.36477i | 0.705599 | + | 0.0766427i | ||||
\(953\) | − | 9.62101i | − | 0.311655i | −0.987784 | − | 0.155828i | \(-0.950196\pi\) | ||
0.987784 | − | 0.155828i | \(-0.0498044\pi\) | |||||||
\(954\) | 30.6909 | − | 2.71329i | 0.993654 | − | 0.0878459i | ||||
\(955\) | −10.9967 | + | 9.08604i | −0.355844 | + | 0.294017i | ||||
\(956\) | 1.70429 | + | 0.763536i | 0.0551206 | + | 0.0246945i | ||||
\(957\) | −6.07342 | + | 53.8007i | −0.196326 | + | 1.73913i | ||||
\(958\) | −8.76415 | + | 40.9984i | −0.283157 | + | 1.32460i | ||||
\(959\) | 1.87953 | − | 3.25544i | 0.0606931 | − | 0.105123i | ||||
\(960\) | −19.6136 | + | 23.9856i | −0.633026 | + | 0.774130i | ||||
\(961\) | −11.8117 | − | 20.4585i | −0.381023 | − | 0.659951i | ||||
\(962\) | −3.43400 | + | 1.11138i | −0.110717 | + | 0.0358322i | ||||
\(963\) | 25.9792 | − | 27.9752i | 0.837169 | − | 0.901488i | ||||
\(964\) | 9.08532 | − | 6.56875i | 0.292618 | − | 0.211565i | ||||
\(965\) | 11.5331 | − | 30.9543i | 0.371263 | − | 0.996453i | ||||
\(966\) | −12.7039 | − | 4.25243i | −0.408743 | − | 0.136820i | ||||
\(967\) | 6.34293 | + | 3.66209i | 0.203975 | + | 0.117765i | 0.598508 | − | 0.801117i | \(-0.295760\pi\) |
−0.394533 | + | 0.918882i | \(0.629094\pi\) | |||||||
\(968\) | −10.2740 | − | 23.2934i | −0.330219 | − | 0.748679i | ||||
\(969\) | −28.1573 | + | 12.2778i | −0.904541 | + | 0.394420i | ||||
\(970\) | 0.667658 | − | 15.2855i | 0.0214372 | − | 0.490789i | ||||
\(971\) | 16.5617i | 0.531490i | 0.964043 | + | 0.265745i | \(0.0856179\pi\) | ||||
−0.964043 | + | 0.265745i | \(0.914382\pi\) | |||||||
\(972\) | −25.9487 | + | 17.2819i | −0.832305 | + | 0.554318i | ||||
\(973\) | −0.728646 | −0.0233593 | ||||||||
\(974\) | 16.2520 | − | 18.0077i | 0.520747 | − | 0.577002i | ||||
\(975\) | −0.707354 | − | 3.14132i | −0.0226535 | − | 0.100603i | ||||
\(976\) | 14.4401 | − | 12.8812i | 0.462217 | − | 0.412319i | ||||
\(977\) | 20.3148 | + | 11.7287i | 0.649928 | + | 0.375236i | 0.788428 | − | 0.615126i | \(-0.210895\pi\) |
−0.138501 | + | 0.990362i | \(0.544228\pi\) | |||||||
\(978\) | 9.25797 | + | 3.09895i | 0.296037 | + | 0.0990934i | ||||
\(979\) | −66.1354 | + | 38.1833i | −2.11370 | + | 1.22034i | ||||
\(980\) | 6.09257 | − | 23.4444i | 0.194620 | − | 0.748903i | ||||
\(981\) | 20.0704 | + | 18.6384i | 0.640799 | + | 0.595080i | ||||
\(982\) | −7.67368 | − | 23.7106i | −0.244877 | − | 0.756637i | ||||
\(983\) | −22.8468 | + | 13.1906i | −0.728699 | + | 0.420715i | −0.817946 | − | 0.575295i | \(-0.804887\pi\) |
0.0892468 | + | 0.996010i | \(0.471554\pi\) | |||||||
\(984\) | 27.2883 | + | 25.1280i | 0.869920 | + | 0.801051i | ||||
\(985\) | −2.25987 | − | 13.4105i | −0.0720056 | − | 0.427293i | ||||
\(986\) | −12.7136 | + | 59.4738i | −0.404884 | + | 1.89403i | ||||
\(987\) | 2.14180 | − | 18.9729i | 0.0681743 | − | 0.603915i | ||||
\(988\) | 0.876366 | − | 1.95613i | 0.0278809 | − | 0.0622329i | ||||
\(989\) | 6.60552i | 0.210043i | ||||||||
\(990\) | 29.7998 | + | 30.2003i | 0.947100 | + | 0.959828i | ||||
\(991\) | −5.70203 | −0.181131 | −0.0905655 | − | 0.995890i | \(-0.528867\pi\) | ||||
−0.0905655 | + | 0.995890i | \(0.528867\pi\) | |||||||
\(992\) | −36.3277 | + | 20.6941i | −1.15341 | + | 0.657038i | ||||
\(993\) | −10.3876 | + | 14.0684i | −0.329640 | + | 0.446448i | ||||
\(994\) | 11.0810 | + | 2.36877i | 0.351468 | + | 0.0751328i | ||||
\(995\) | 3.56659 | + | 21.1647i | 0.113069 | + | 0.670967i | ||||
\(996\) | 9.65067 | − | 16.3356i | 0.305793 | − | 0.517614i | ||||
\(997\) | −1.96192 | − | 3.39814i | −0.0621346 | − | 0.107620i | 0.833285 | − | 0.552844i | \(-0.186457\pi\) |
−0.895419 | + | 0.445224i | \(0.853124\pi\) | |||||||
\(998\) | −11.9827 | − | 37.0251i | −0.379307 | − | 1.17201i | ||||
\(999\) | −11.8017 | + | 33.6587i | −0.373388 | + | 1.06491i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
Twists
By twisting character | |||||||
---|---|---|---|---|---|---|---|
Char | Parity | Ord | Type | Twist | Min | Dim | |
1.1 | even | 1 | trivial | 360.2.bk.a.229.16 | ✓ | 136 | |
5.4 | even | 2 | inner | 360.2.bk.a.229.53 | yes | 136 | |
8.5 | even | 2 | inner | 360.2.bk.a.229.39 | yes | 136 | |
9.7 | even | 3 | inner | 360.2.bk.a.349.30 | yes | 136 | |
40.29 | even | 2 | inner | 360.2.bk.a.229.30 | yes | 136 | |
45.34 | even | 6 | inner | 360.2.bk.a.349.39 | yes | 136 | |
72.61 | even | 6 | inner | 360.2.bk.a.349.53 | yes | 136 | |
360.349 | even | 6 | inner | 360.2.bk.a.349.16 | yes | 136 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
360.2.bk.a.229.16 | ✓ | 136 | 1.1 | even | 1 | trivial | |
360.2.bk.a.229.30 | yes | 136 | 40.29 | even | 2 | inner | |
360.2.bk.a.229.39 | yes | 136 | 8.5 | even | 2 | inner | |
360.2.bk.a.229.53 | yes | 136 | 5.4 | even | 2 | inner | |
360.2.bk.a.349.16 | yes | 136 | 360.349 | even | 6 | inner | |
360.2.bk.a.349.30 | yes | 136 | 9.7 | even | 3 | inner | |
360.2.bk.a.349.39 | yes | 136 | 45.34 | even | 6 | inner | |
360.2.bk.a.349.53 | yes | 136 | 72.61 | even | 6 | inner |