Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [48,3,Mod(5,48)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(48, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([0, 1, 2]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("48.5");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 48 = 2^{4} \cdot 3 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 48.i (of order \(4\), 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: | \(1.30790526893\) |
Analytic rank: | \(0\) |
Dimension: | \(20\) |
Relative dimension: | \(10\) over \(\Q(i)\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{20} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{20} - 2 x^{18} + 6 x^{16} - 24 x^{14} - 24 x^{12} + 1216 x^{10} - 384 x^{8} - 6144 x^{6} + \cdots + 1048576 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 2^{13} \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 5.10 | ||
Root | \(1.96139 + 0.391068i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 48.5 |
Dual form | 48.3.i.b.29.10 |
$q$-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 \(\left(\mathbb{Z}/48\mathbb{Z}\right)^\times\).
\(n\) | \(17\) | \(31\) | \(37\) |
\(\chi(n)\) | \(-1\) | \(1\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.96139 | − | 0.391068i | 0.980697 | − | 0.195534i | ||||
\(3\) | −0.164573 | + | 2.99548i | −0.0548575 | + | 0.998494i | ||||
\(4\) | 3.69413 | − | 1.53408i | 0.923533 | − | 0.383519i | ||||
\(5\) | −3.61305 | + | 3.61305i | −0.722609 | + | 0.722609i | −0.969136 | − | 0.246527i | \(-0.920711\pi\) |
0.246527 | + | 0.969136i | \(0.420711\pi\) | |||||||
\(6\) | 0.848646 | + | 5.93968i | 0.141441 | + | 0.989947i | ||||
\(7\) | − | 12.2792i | − | 1.75417i | −0.480338 | − | 0.877083i | \(-0.659486\pi\) | ||
0.480338 | − | 0.877083i | \(-0.340514\pi\) | |||||||
\(8\) | 6.64572 | − | 4.45358i | 0.830715 | − | 0.556698i | ||||
\(9\) | −8.94583 | − | 0.985948i | −0.993981 | − | 0.109550i | ||||
\(10\) | −5.67366 | + | 8.49955i | −0.567366 | + | 0.849955i | ||||
\(11\) | 1.76932 | − | 1.76932i | 0.160847 | − | 0.160847i | −0.622095 | − | 0.782942i | \(-0.713718\pi\) |
0.782942 | + | 0.622095i | \(0.213718\pi\) | |||||||
\(12\) | 3.98735 | + | 11.3182i | 0.332279 | + | 0.943181i | ||||
\(13\) | −2.38826 | + | 2.38826i | −0.183713 | + | 0.183713i | −0.792971 | − | 0.609259i | \(-0.791467\pi\) |
0.609259 | + | 0.792971i | \(0.291467\pi\) | |||||||
\(14\) | −4.80199 | − | 24.0843i | −0.342999 | − | 1.72031i | ||||
\(15\) | −10.2282 | − | 11.4174i | −0.681881 | − | 0.761162i | ||||
\(16\) | 11.2932 | − | 11.3342i | 0.705826 | − | 0.708385i | ||||
\(17\) | 20.0754i | 1.18091i | 0.807072 | + | 0.590453i | \(0.201051\pi\) | ||||
−0.807072 | + | 0.590453i | \(0.798949\pi\) | |||||||
\(18\) | −17.9319 | + | 1.56460i | −0.996215 | + | 0.0869220i | ||||
\(19\) | −8.77090 | + | 8.77090i | −0.461626 | + | 0.461626i | −0.899188 | − | 0.437562i | \(-0.855842\pi\) |
0.437562 | + | 0.899188i | \(0.355842\pi\) | |||||||
\(20\) | −7.80438 | + | 18.8898i | −0.390219 | + | 0.944488i | ||||
\(21\) | 36.7820 | + | 2.02081i | 1.75153 | + | 0.0962292i | ||||
\(22\) | 2.77840 | − | 4.16225i | 0.126291 | − | 0.189193i | ||||
\(23\) | −13.1821 | −0.573134 | −0.286567 | − | 0.958060i | \(-0.592514\pi\) | ||||
−0.286567 | + | 0.958060i | \(0.592514\pi\) | |||||||
\(24\) | 12.2469 | + | 20.6401i | 0.510289 | + | 0.860003i | ||||
\(25\) | − | 1.10820i | − | 0.0443281i | ||||||
\(26\) | −3.75035 | + | 5.61830i | −0.144244 | + | 0.216088i | ||||
\(27\) | 4.42563 | − | 26.6348i | 0.163912 | − | 0.986475i | ||||
\(28\) | −18.8372 | − | 45.3609i | −0.672756 | − | 1.62003i | ||||
\(29\) | −6.51544 | − | 6.51544i | −0.224670 | − | 0.224670i | 0.585792 | − | 0.810462i | \(-0.300784\pi\) |
−0.810462 | + | 0.585792i | \(0.800784\pi\) | |||||||
\(30\) | −24.5265 | − | 18.3941i | −0.817551 | − | 0.613138i | ||||
\(31\) | 37.5922 | 1.21265 | 0.606326 | − | 0.795216i | \(-0.292643\pi\) | ||||
0.606326 | + | 0.795216i | \(0.292643\pi\) | |||||||
\(32\) | 17.7180 | − | 26.6472i | 0.553688 | − | 0.832724i | ||||
\(33\) | 5.00877 | + | 5.59113i | 0.151781 | + | 0.169428i | ||||
\(34\) | 7.85085 | + | 39.3758i | 0.230907 | + | 1.15811i | ||||
\(35\) | 44.3652 | + | 44.3652i | 1.26758 | + | 1.26758i | ||||
\(36\) | −34.5596 | + | 10.0814i | −0.959989 | + | 0.280038i | ||||
\(37\) | 10.0057 | + | 10.0057i | 0.270423 | + | 0.270423i | 0.829271 | − | 0.558847i | \(-0.188756\pi\) |
−0.558847 | + | 0.829271i | \(0.688756\pi\) | |||||||
\(38\) | −13.7732 | + | 20.6332i | −0.362452 | + | 0.542979i | ||||
\(39\) | −6.76096 | − | 7.54704i | −0.173358 | − | 0.193514i | ||||
\(40\) | −7.92028 | + | 40.1023i | −0.198007 | + | 1.00256i | ||||
\(41\) | −4.57407 | −0.111563 | −0.0557814 | − | 0.998443i | \(-0.517765\pi\) | ||||
−0.0557814 | + | 0.998443i | \(0.517765\pi\) | |||||||
\(42\) | 72.9343 | − | 10.4207i | 1.73653 | − | 0.248111i | ||||
\(43\) | 21.2835 | + | 21.2835i | 0.494966 | + | 0.494966i | 0.909867 | − | 0.414901i | \(-0.136184\pi\) |
−0.414901 | + | 0.909867i | \(0.636184\pi\) | |||||||
\(44\) | 3.82182 | − | 9.25035i | 0.0868595 | − | 0.210235i | ||||
\(45\) | 35.8840 | − | 28.7594i | 0.797422 | − | 0.639098i | ||||
\(46\) | −25.8553 | + | 5.15509i | −0.562071 | + | 0.112067i | ||||
\(47\) | − | 54.8366i | − | 1.16674i | −0.812208 | − | 0.583368i | \(-0.801734\pi\) | ||
0.812208 | − | 0.583368i | \(-0.198266\pi\) | |||||||
\(48\) | 32.0927 | + | 35.6939i | 0.668599 | + | 0.743624i | ||||
\(49\) | −101.778 | −2.07710 | ||||||||
\(50\) | −0.433383 | − | 2.17362i | −0.00866765 | − | 0.0434724i | ||||
\(51\) | −60.1356 | − | 3.30386i | −1.17913 | − | 0.0647816i | ||||
\(52\) | −5.15878 | + | 12.4863i | −0.0992073 | + | 0.240122i | ||||
\(53\) | 21.5215 | − | 21.5215i | 0.406065 | − | 0.406065i | −0.474299 | − | 0.880364i | \(-0.657298\pi\) |
0.880364 | + | 0.474299i | \(0.157298\pi\) | |||||||
\(54\) | −1.73563 | − | 53.9721i | −0.0321412 | − | 0.999483i | ||||
\(55\) | 12.7852i | 0.232459i | ||||||||
\(56\) | −54.6863 | − | 81.6039i | −0.976541 | − | 1.45721i | ||||
\(57\) | −24.8296 | − | 27.7165i | −0.435607 | − | 0.486255i | ||||
\(58\) | −15.3273 | − | 10.2314i | −0.264264 | − | 0.176403i | ||||
\(59\) | −53.6617 | + | 53.6617i | −0.909520 | + | 0.909520i | −0.996233 | − | 0.0867132i | \(-0.972364\pi\) |
0.0867132 | + | 0.996233i | \(0.472364\pi\) | |||||||
\(60\) | −55.2996 | − | 26.4866i | −0.921659 | − | 0.441444i | ||||
\(61\) | −19.2186 | + | 19.2186i | −0.315059 | + | 0.315059i | −0.846866 | − | 0.531807i | \(-0.821513\pi\) |
0.531807 | + | 0.846866i | \(0.321513\pi\) | |||||||
\(62\) | 73.7331 | − | 14.7011i | 1.18924 | − | 0.237115i | ||||
\(63\) | −12.1066 | + | 109.847i | −0.192169 | + | 1.74361i | ||||
\(64\) | 24.3312 | − | 59.1945i | 0.380174 | − | 0.924915i | ||||
\(65\) | − | 17.2578i | − | 0.265505i | ||||||
\(66\) | 12.0107 | + | 9.00765i | 0.181980 | + | 0.136479i | ||||
\(67\) | 31.5603 | − | 31.5603i | 0.471049 | − | 0.471049i | −0.431205 | − | 0.902254i | \(-0.641911\pi\) |
0.902254 | + | 0.431205i | \(0.141911\pi\) | |||||||
\(68\) | 30.7972 | + | 74.1612i | 0.452900 | + | 1.09061i | ||||
\(69\) | 2.16941 | − | 39.4867i | 0.0314407 | − | 0.572271i | ||||
\(70\) | 104.367 | + | 69.6678i | 1.49096 | + | 0.995254i | ||||
\(71\) | −65.1220 | −0.917211 | −0.458606 | − | 0.888640i | \(-0.651651\pi\) | ||||
−0.458606 | + | 0.888640i | \(0.651651\pi\) | |||||||
\(72\) | −63.8425 | + | 33.2887i | −0.886701 | + | 0.462343i | ||||
\(73\) | − | 50.2451i | − | 0.688290i | −0.938917 | − | 0.344145i | \(-0.888169\pi\) | ||
0.938917 | − | 0.344145i | \(-0.111831\pi\) | |||||||
\(74\) | 23.5379 | + | 15.7121i | 0.318080 | + | 0.212326i | ||||
\(75\) | 3.31960 | + | 0.182380i | 0.0442614 | + | 0.00243173i | ||||
\(76\) | −18.9456 | + | 45.8561i | −0.249284 | + | 0.603369i | ||||
\(77\) | −21.7257 | − | 21.7257i | −0.282152 | − | 0.282152i | ||||
\(78\) | −16.2123 | − | 12.1587i | −0.207850 | − | 0.155881i | ||||
\(79\) | 20.9299 | 0.264935 | 0.132468 | − | 0.991187i | \(-0.457710\pi\) | ||||
0.132468 | + | 0.991187i | \(0.457710\pi\) | |||||||
\(80\) | 0.147933 | + | 81.7538i | 0.00184916 | + | 1.02192i | ||||
\(81\) | 79.0558 | + | 17.6403i | 0.975998 | + | 0.217781i | ||||
\(82\) | −8.97156 | + | 1.78877i | −0.109409 | + | 0.0218143i | ||||
\(83\) | −6.35791 | − | 6.35791i | −0.0766013 | − | 0.0766013i | 0.667768 | − | 0.744369i | \(-0.267250\pi\) |
−0.744369 | + | 0.667768i | \(0.767250\pi\) | |||||||
\(84\) | 138.978 | − | 48.9613i | 1.65450 | − | 0.582873i | ||||
\(85\) | −72.5334 | − | 72.5334i | −0.853334 | − | 0.853334i | ||||
\(86\) | 50.0687 | + | 33.4221i | 0.582194 | + | 0.388629i | ||||
\(87\) | 20.5891 | − | 18.4446i | 0.236657 | − | 0.212007i | ||||
\(88\) | 3.87858 | − | 19.6382i | 0.0440747 | − | 0.223161i | ||||
\(89\) | 166.399 | 1.86966 | 0.934828 | − | 0.355102i | \(-0.115554\pi\) | ||||
0.934828 | + | 0.355102i | \(0.115554\pi\) | |||||||
\(90\) | 59.1357 | − | 70.4416i | 0.657064 | − | 0.782685i | ||||
\(91\) | 29.3259 | + | 29.3259i | 0.322262 | + | 0.322262i | ||||
\(92\) | −48.6964 | + | 20.2223i | −0.529308 | + | 0.219808i | ||||
\(93\) | −6.18664 | + | 112.607i | −0.0665231 | + | 1.21083i | ||||
\(94\) | −21.4449 | − | 107.556i | −0.228137 | − | 1.14422i | ||||
\(95\) | − | 63.3793i | − | 0.667151i | ||||||
\(96\) | 76.9052 | + | 57.4594i | 0.801096 | + | 0.598536i | ||||
\(97\) | 139.213 | 1.43519 | 0.717593 | − | 0.696463i | \(-0.245244\pi\) | ||||
0.717593 | + | 0.696463i | \(0.245244\pi\) | |||||||
\(98\) | −199.627 | + | 39.8021i | −2.03701 | + | 0.406144i | ||||
\(99\) | −17.5725 | + | 14.0835i | −0.177500 | + | 0.142258i | ||||
\(100\) | −1.70007 | − | 4.09385i | −0.0170007 | − | 0.0409385i | ||||
\(101\) | −125.879 | + | 125.879i | −1.24632 | + | 1.24632i | −0.288994 | + | 0.957331i | \(0.593321\pi\) |
−0.957331 | + | 0.288994i | \(0.906679\pi\) | |||||||
\(102\) | −119.242 | + | 17.0369i | −1.16903 | + | 0.167029i | ||||
\(103\) | 26.3937i | 0.256250i | 0.991758 | + | 0.128125i | \(0.0408958\pi\) | ||||
−0.991758 | + | 0.128125i | \(0.959104\pi\) | |||||||
\(104\) | −5.23539 | + | 26.5081i | −0.0503403 | + | 0.254885i | ||||
\(105\) | −140.196 | + | 125.594i | −1.33520 | + | 1.19613i | ||||
\(106\) | 33.7957 | − | 50.6284i | 0.318828 | − | 0.477627i | ||||
\(107\) | 83.9534 | − | 83.9534i | 0.784611 | − | 0.784611i | −0.195994 | − | 0.980605i | \(-0.562793\pi\) |
0.980605 | + | 0.195994i | \(0.0627933\pi\) | |||||||
\(108\) | −24.5110 | − | 105.182i | −0.226954 | − | 0.973906i | ||||
\(109\) | 2.29518 | − | 2.29518i | 0.0210567 | − | 0.0210567i | −0.696500 | − | 0.717557i | \(-0.745260\pi\) |
0.717557 | + | 0.696500i | \(0.245260\pi\) | |||||||
\(110\) | 4.99990 | + | 25.0769i | 0.0454536 | + | 0.227972i | ||||
\(111\) | −31.6184 | + | 28.3251i | −0.284851 | + | 0.255181i | ||||
\(112\) | −139.174 | − | 138.671i | −1.24263 | − | 1.23814i | ||||
\(113\) | − | 177.630i | − | 1.57195i | −0.618260 | − | 0.785974i | \(-0.712162\pi\) | ||
0.618260 | − | 0.785974i | \(-0.287838\pi\) | |||||||
\(114\) | −59.5397 | − | 44.6529i | −0.522278 | − | 0.391692i | ||||
\(115\) | 47.6275 | − | 47.6275i | 0.414152 | − | 0.414152i | ||||
\(116\) | −34.0641 | − | 14.0737i | −0.293656 | − | 0.121325i | ||||
\(117\) | 23.7197 | − | 19.0103i | 0.202733 | − | 0.162481i | ||||
\(118\) | −84.2663 | + | 126.237i | −0.714122 | + | 1.06981i | ||||
\(119\) | 246.509 | 2.07151 | ||||||||
\(120\) | −118.822 | − | 30.3248i | −0.990186 | − | 0.252707i | ||||
\(121\) | 114.739i | 0.948257i | ||||||||
\(122\) | −30.1794 | + | 45.2110i | −0.247372 | + | 0.370582i | ||||
\(123\) | 0.752766 | − | 13.7016i | 0.00612005 | − | 0.111395i | ||||
\(124\) | 138.871 | − | 57.6693i | 1.11992 | − | 0.465075i | ||||
\(125\) | −86.3222 | − | 86.3222i | −0.690577 | − | 0.690577i | ||||
\(126\) | 19.2119 | + | 220.188i | 0.152476 | + | 1.74753i | ||||
\(127\) | −152.167 | −1.19816 | −0.599082 | − | 0.800687i | \(-0.704468\pi\) | ||||
−0.599082 | + | 0.800687i | \(0.704468\pi\) | |||||||
\(128\) | 24.5739 | − | 125.619i | 0.191984 | − | 0.981398i | ||||
\(129\) | −67.2571 | + | 60.2517i | −0.521373 | + | 0.467068i | ||||
\(130\) | −6.74898 | − | 33.8494i | −0.0519152 | − | 0.260380i | ||||
\(131\) | −65.6955 | − | 65.6955i | −0.501492 | − | 0.501492i | 0.410409 | − | 0.911901i | \(-0.365386\pi\) |
−0.911901 | + | 0.410409i | \(0.865386\pi\) | |||||||
\(132\) | 27.0803 | + | 12.9705i | 0.205154 | + | 0.0982617i | ||||
\(133\) | 107.699 | + | 107.699i | 0.809769 | + | 0.809769i | ||||
\(134\) | 49.5599 | − | 74.2443i | 0.369850 | − | 0.554062i | ||||
\(135\) | 80.2428 | + | 112.223i | 0.594391 | + | 0.831280i | ||||
\(136\) | 89.4076 | + | 133.416i | 0.657409 | + | 0.980997i | ||||
\(137\) | 53.1509 | 0.387963 | 0.193982 | − | 0.981005i | \(-0.437860\pi\) | ||||
0.193982 | + | 0.981005i | \(0.437860\pi\) | |||||||
\(138\) | −11.1869 | − | 78.2974i | −0.0810647 | − | 0.567372i | ||||
\(139\) | −161.324 | − | 161.324i | −1.16060 | − | 1.16060i | −0.984343 | − | 0.176261i | \(-0.943600\pi\) |
−0.176261 | − | 0.984343i | \(-0.556400\pi\) | |||||||
\(140\) | 231.950 | + | 95.8313i | 1.65679 | + | 0.684509i | ||||
\(141\) | 164.262 | + | 9.02460i | 1.16498 | + | 0.0640043i | ||||
\(142\) | −127.730 | + | 25.4671i | −0.899506 | + | 0.179346i | ||||
\(143\) | 8.45118i | 0.0590992i | ||||||||
\(144\) | −112.202 | + | 90.2590i | −0.779181 | + | 0.626798i | ||||
\(145\) | 47.0811 | 0.324698 | ||||||||
\(146\) | −19.6493 | − | 98.5505i | −0.134584 | − | 0.675004i | ||||
\(147\) | 16.7498 | − | 304.874i | 0.113945 | − | 2.07397i | ||||
\(148\) | 52.3117 | + | 21.6128i | 0.353457 | + | 0.146032i | ||||
\(149\) | −116.911 | + | 116.911i | −0.784638 | + | 0.784638i | −0.980610 | − | 0.195971i | \(-0.937214\pi\) |
0.195971 | + | 0.980610i | \(0.437214\pi\) | |||||||
\(150\) | 6.58237 | − | 0.940472i | 0.0438825 | − | 0.00626981i | ||||
\(151\) | 10.9723i | 0.0726643i | 0.999340 | + | 0.0363321i | \(0.0115674\pi\) | ||||
−0.999340 | + | 0.0363321i | \(0.988433\pi\) | |||||||
\(152\) | −19.2270 | + | 97.3509i | −0.126493 | + | 0.640466i | ||||
\(153\) | 19.7933 | − | 179.591i | 0.129368 | − | 1.17380i | ||||
\(154\) | −51.1089 | − | 34.1165i | −0.331876 | − | 0.221535i | ||||
\(155\) | −135.822 | + | 135.822i | −0.876273 | + | 0.876273i | ||||
\(156\) | −36.5536 | − | 17.5079i | −0.234318 | − | 0.112230i | ||||
\(157\) | 49.8246 | − | 49.8246i | 0.317354 | − | 0.317354i | −0.530396 | − | 0.847750i | \(-0.677957\pi\) |
0.847750 | + | 0.530396i | \(0.177957\pi\) | |||||||
\(158\) | 41.0517 | − | 8.18501i | 0.259821 | − | 0.0518038i | ||||
\(159\) | 60.9253 | + | 68.0090i | 0.383178 | + | 0.427730i | ||||
\(160\) | 32.2614 | + | 160.293i | 0.201634 | + | 1.00183i | ||||
\(161\) | 161.865i | 1.00537i | ||||||||
\(162\) | 161.958 | + | 3.68329i | 0.999741 | + | 0.0227363i | ||||
\(163\) | −66.4240 | + | 66.4240i | −0.407509 | + | 0.407509i | −0.880869 | − | 0.473360i | \(-0.843041\pi\) |
0.473360 | + | 0.880869i | \(0.343041\pi\) | |||||||
\(164\) | −16.8972 | + | 7.01698i | −0.103032 | + | 0.0427864i | ||||
\(165\) | −38.2980 | − | 2.10410i | −0.232109 | − | 0.0127521i | ||||
\(166\) | −14.9567 | − | 9.98399i | −0.0901008 | − | 0.0601445i | ||||
\(167\) | −182.851 | −1.09492 | −0.547459 | − | 0.836832i | \(-0.684405\pi\) | ||||
−0.547459 | + | 0.836832i | \(0.684405\pi\) | |||||||
\(168\) | 253.443 | − | 150.382i | 1.50859 | − | 0.895132i | ||||
\(169\) | 157.592i | 0.932499i | ||||||||
\(170\) | −170.632 | − | 113.901i | −1.00372 | − | 0.670006i | ||||
\(171\) | 87.1106 | − | 69.8153i | 0.509419 | − | 0.408277i | ||||
\(172\) | 111.275 | + | 45.9736i | 0.646946 | + | 0.267288i | ||||
\(173\) | 123.809 | + | 123.809i | 0.715661 | + | 0.715661i | 0.967714 | − | 0.252052i | \(-0.0811056\pi\) |
−0.252052 | + | 0.967714i | \(0.581106\pi\) | |||||||
\(174\) | 33.1703 | − | 44.2289i | 0.190634 | − | 0.254189i | ||||
\(175\) | −13.6078 | −0.0777589 | ||||||||
\(176\) | −0.0724429 | − | 40.0350i | −0.000411608 | − | 0.227471i | ||||
\(177\) | −151.911 | − | 169.574i | −0.858257 | − | 0.958045i | ||||
\(178\) | 326.375 | − | 65.0734i | 1.83357 | − | 0.365581i | ||||
\(179\) | 168.642 | + | 168.642i | 0.942134 | + | 0.942134i | 0.998415 | − | 0.0562807i | \(-0.0179242\pi\) |
−0.0562807 | + | 0.998415i | \(0.517924\pi\) | |||||||
\(180\) | 88.4410 | − | 161.290i | 0.491339 | − | 0.896055i | ||||
\(181\) | −162.162 | − | 162.162i | −0.895920 | − | 0.895920i | 0.0991520 | − | 0.995072i | \(-0.468387\pi\) |
−0.995072 | + | 0.0991520i | \(0.968387\pi\) | |||||||
\(182\) | 68.9880 | + | 46.0512i | 0.379055 | + | 0.253029i | ||||
\(183\) | −54.4061 | − | 60.7318i | −0.297301 | − | 0.331868i | ||||
\(184\) | −87.6045 | + | 58.7076i | −0.476111 | + | 0.319063i | ||||
\(185\) | −72.3018 | −0.390821 | ||||||||
\(186\) | 31.9025 | + | 223.286i | 0.171519 | + | 1.20046i | ||||
\(187\) | 35.5198 | + | 35.5198i | 0.189945 | + | 0.189945i | ||||
\(188\) | −84.1236 | − | 202.574i | −0.447466 | − | 1.07752i | ||||
\(189\) | −327.053 | − | 54.3430i | −1.73044 | − | 0.287529i | ||||
\(190\) | −24.7856 | − | 124.312i | −0.130451 | − | 0.654273i | ||||
\(191\) | − | 60.8777i | − | 0.318731i | −0.987220 | − | 0.159366i | \(-0.949055\pi\) | ||
0.987220 | − | 0.159366i | \(-0.0509449\pi\) | |||||||
\(192\) | 173.312 | + | 82.6254i | 0.902667 | + | 0.430340i | ||||
\(193\) | 177.871 | 0.921611 | 0.460806 | − | 0.887501i | \(-0.347561\pi\) | ||||
0.460806 | + | 0.887501i | \(0.347561\pi\) | |||||||
\(194\) | 273.052 | − | 54.4418i | 1.40748 | − | 0.280628i | ||||
\(195\) | 51.6955 | + | 2.84016i | 0.265105 | + | 0.0145649i | ||||
\(196\) | −375.981 | + | 156.135i | −1.91827 | + | 0.796608i | ||||
\(197\) | 66.9411 | − | 66.9411i | 0.339803 | − | 0.339803i | −0.516490 | − | 0.856293i | \(-0.672762\pi\) |
0.856293 | + | 0.516490i | \(0.172762\pi\) | |||||||
\(198\) | −28.9589 | + | 34.4954i | −0.146257 | + | 0.174219i | ||||
\(199\) | 0.826328i | 0.00415240i | 0.999998 | + | 0.00207620i | \(0.000660875\pi\) | ||||
−0.999998 | + | 0.00207620i | \(0.999339\pi\) | |||||||
\(200\) | −4.93548 | − | 7.36480i | −0.0246774 | − | 0.0368240i | ||||
\(201\) | 89.3443 | + | 99.7322i | 0.444499 | + | 0.496180i | ||||
\(202\) | −197.671 | + | 296.125i | −0.978568 | + | 1.46597i | ||||
\(203\) | −80.0041 | + | 80.0041i | −0.394109 | + | 0.394109i | ||||
\(204\) | −227.217 | + | 80.0477i | −1.11381 | + | 0.392391i | ||||
\(205\) | 16.5263 | − | 16.5263i | 0.0806162 | − | 0.0806162i | ||||
\(206\) | 10.3217 | + | 51.7685i | 0.0501055 | + | 0.251303i | ||||
\(207\) | 117.925 | + | 12.9969i | 0.569685 | + | 0.0627868i | ||||
\(208\) | 0.0977852 | + | 54.0401i | 0.000470121 | + | 0.259808i | ||||
\(209\) | 31.0370i | 0.148502i | ||||||||
\(210\) | −225.865 | + | 301.165i | −1.07555 | + | 1.43412i | ||||
\(211\) | −181.344 | + | 181.344i | −0.859448 | + | 0.859448i | −0.991273 | − | 0.131825i | \(-0.957916\pi\) |
0.131825 | + | 0.991273i | \(0.457916\pi\) | |||||||
\(212\) | 46.4876 | − | 112.519i | 0.219281 | − | 0.530749i | ||||
\(213\) | 10.7173 | − | 195.072i | 0.0503159 | − | 0.915830i | ||||
\(214\) | 131.834 | − | 197.497i | 0.616048 | − | 0.922884i | ||||
\(215\) | −153.797 | −0.715333 | ||||||||
\(216\) | −89.2090 | − | 196.717i | −0.413004 | − | 0.910729i | ||||
\(217\) | − | 461.601i | − | 2.12719i | ||||||
\(218\) | 3.60419 | − | 5.39933i | 0.0165330 | − | 0.0247676i | ||||
\(219\) | 150.508 | + | 8.26897i | 0.687253 | + | 0.0377579i | ||||
\(220\) | 19.6135 | + | 47.2303i | 0.0891524 | + | 0.214683i | ||||
\(221\) | −47.9454 | − | 47.9454i | −0.216947 | − | 0.216947i | ||||
\(222\) | −50.9392 | + | 67.9217i | −0.229456 | + | 0.305953i | ||||
\(223\) | −17.7339 | −0.0795241 | −0.0397621 | − | 0.999209i | \(-0.512660\pi\) | ||||
−0.0397621 | + | 0.999209i | \(0.512660\pi\) | |||||||
\(224\) | −327.205 | − | 217.563i | −1.46074 | − | 0.971261i | ||||
\(225\) | −1.09263 | + | 9.91380i | −0.00485614 | + | 0.0440613i | ||||
\(226\) | −69.4654 | − | 348.402i | −0.307369 | − | 1.54160i | ||||
\(227\) | 7.53766 | + | 7.53766i | 0.0332055 | + | 0.0332055i | 0.723515 | − | 0.690309i | \(-0.242525\pi\) |
−0.690309 | + | 0.723515i | \(0.742525\pi\) | |||||||
\(228\) | −134.243 | − | 64.2979i | −0.588786 | − | 0.282008i | ||||
\(229\) | 223.748 | + | 223.748i | 0.977063 | + | 0.977063i | 0.999743 | − | 0.0226794i | \(-0.00721971\pi\) |
−0.0226794 | + | 0.999743i | \(0.507220\pi\) | |||||||
\(230\) | 74.7907 | − | 112.042i | 0.325177 | − | 0.487139i | ||||
\(231\) | 68.6545 | − | 61.5036i | 0.297205 | − | 0.266249i | ||||
\(232\) | −72.3168 | − | 14.2827i | −0.311710 | − | 0.0615634i | ||||
\(233\) | −123.585 | −0.530406 | −0.265203 | − | 0.964193i | \(-0.585439\pi\) | ||||
−0.265203 | + | 0.964193i | \(0.585439\pi\) | |||||||
\(234\) | 39.0894 | − | 46.5627i | 0.167049 | − | 0.198986i | ||||
\(235\) | 198.127 | + | 198.127i | 0.843095 | + | 0.843095i | ||||
\(236\) | −115.912 | + | 280.554i | −0.491153 | + | 1.18879i | ||||
\(237\) | −3.44448 | + | 62.6951i | −0.0145337 | + | 0.264536i | ||||
\(238\) | 483.502 | − | 96.4019i | 2.03152 | − | 0.405050i | ||||
\(239\) | 118.501i | 0.495820i | 0.968783 | + | 0.247910i | \(0.0797437\pi\) | ||||
−0.968783 | + | 0.247910i | \(0.920256\pi\) | |||||||
\(240\) | −244.916 | − | 13.0113i | −1.02048 | − | 0.0542137i | ||||
\(241\) | −264.162 | −1.09611 | −0.548053 | − | 0.836443i | \(-0.684631\pi\) | ||||
−0.548053 | + | 0.836443i | \(0.684631\pi\) | |||||||
\(242\) | 44.8708 | + | 225.048i | 0.185416 | + | 0.929952i | ||||
\(243\) | −65.8515 | + | 233.907i | −0.270994 | + | 0.962581i | ||||
\(244\) | −41.5132 | + | 100.479i | −0.170136 | + | 0.411798i | ||||
\(245\) | 367.728 | − | 367.728i | 1.50093 | − | 1.50093i | ||||
\(246\) | −3.88177 | − | 27.1685i | −0.0157795 | − | 0.110441i | ||||
\(247\) | − | 41.8944i | − | 0.169613i | ||||||
\(248\) | 249.827 | − | 167.420i | 1.00737 | − | 0.675081i | ||||
\(249\) | 20.0913 | − | 17.9987i | 0.0806881 | − | 0.0722838i | ||||
\(250\) | −203.070 | − | 135.554i | −0.812278 | − | 0.542216i | ||||
\(251\) | 152.477 | − | 152.477i | 0.607478 | − | 0.607478i | −0.334808 | − | 0.942286i | \(-0.608672\pi\) |
0.942286 | + | 0.334808i | \(0.108672\pi\) | |||||||
\(252\) | 123.791 | + | 424.363i | 0.491233 | + | 1.68398i | ||||
\(253\) | −23.3233 | + | 23.3233i | −0.0921869 | + | 0.0921869i | ||||
\(254\) | −298.459 | + | 59.5076i | −1.17504 | + | 0.234282i | ||||
\(255\) | 229.210 | − | 205.336i | 0.898861 | − | 0.805238i | ||||
\(256\) | −0.926457 | − | 255.998i | −0.00361897 | − | 0.999993i | ||||
\(257\) | 113.118i | 0.440147i | 0.975483 | + | 0.220074i | \(0.0706298\pi\) | ||||
−0.975483 | + | 0.220074i | \(0.929370\pi\) | |||||||
\(258\) | −108.355 | + | 144.479i | −0.419981 | + | 0.559998i | ||||
\(259\) | 122.861 | − | 122.861i | 0.474367 | − | 0.474367i | ||||
\(260\) | −26.4748 | − | 63.7526i | −0.101826 | − | 0.245202i | ||||
\(261\) | 51.8621 | + | 64.7099i | 0.198705 | + | 0.247931i | ||||
\(262\) | −154.546 | − | 103.163i | −0.589871 | − | 0.393753i | ||||
\(263\) | 129.324 | 0.491727 | 0.245864 | − | 0.969304i | \(-0.420928\pi\) | ||||
0.245864 | + | 0.969304i | \(0.420928\pi\) | |||||||
\(264\) | 58.1875 | + | 14.8501i | 0.220407 | + | 0.0562504i | ||||
\(265\) | 155.516i | 0.586853i | ||||||||
\(266\) | 253.359 | + | 169.123i | 0.952476 | + | 0.635801i | ||||
\(267\) | −27.3848 | + | 498.446i | −0.102565 | + | 1.86684i | ||||
\(268\) | 68.1719 | − | 165.004i | 0.254373 | − | 0.615685i | ||||
\(269\) | 129.457 | + | 129.457i | 0.481253 | + | 0.481253i | 0.905532 | − | 0.424278i | \(-0.139472\pi\) |
−0.424278 | + | 0.905532i | \(0.639472\pi\) | |||||||
\(270\) | 201.275 | + | 188.733i | 0.745461 | + | 0.699010i | ||||
\(271\) | 170.727 | 0.629990 | 0.314995 | − | 0.949093i | \(-0.397997\pi\) | ||||
0.314995 | + | 0.949093i | \(0.397997\pi\) | |||||||
\(272\) | 227.538 | + | 226.716i | 0.836537 | + | 0.833515i | ||||
\(273\) | −92.6714 | + | 83.0189i | −0.339456 | + | 0.304099i | ||||
\(274\) | 104.250 | − | 20.7856i | 0.380474 | − | 0.0758600i | ||||
\(275\) | −1.96076 | − | 1.96076i | −0.00713004 | − | 0.00713004i | ||||
\(276\) | −52.5616 | − | 149.197i | −0.190440 | − | 0.540570i | ||||
\(277\) | 114.051 | + | 114.051i | 0.411737 | + | 0.411737i | 0.882343 | − | 0.470606i | \(-0.155965\pi\) |
−0.470606 | + | 0.882343i | \(0.655965\pi\) | |||||||
\(278\) | −379.509 | − | 253.331i | −1.36514 | − | 0.911264i | ||||
\(279\) | −336.294 | − | 37.0640i | −1.20535 | − | 0.132846i | ||||
\(280\) | 492.423 | + | 97.2544i | 1.75865 | + | 0.347337i | ||||
\(281\) | 136.468 | 0.485650 | 0.242825 | − | 0.970070i | \(-0.421926\pi\) | ||||
0.242825 | + | 0.970070i | \(0.421926\pi\) | |||||||
\(282\) | 325.712 | − | 46.5369i | 1.15501 | − | 0.165024i | ||||
\(283\) | −132.657 | − | 132.657i | −0.468752 | − | 0.468752i | 0.432758 | − | 0.901510i | \(-0.357540\pi\) |
−0.901510 | + | 0.432758i | \(0.857540\pi\) | |||||||
\(284\) | −240.569 | + | 99.9021i | −0.847075 | + | 0.351768i | ||||
\(285\) | 189.852 | + | 10.4305i | 0.666146 | + | 0.0365982i | ||||
\(286\) | 3.30499 | + | 16.5761i | 0.0115559 | + | 0.0579584i | ||||
\(287\) | 56.1658i | 0.195700i | ||||||||
\(288\) | −184.775 | + | 220.912i | −0.641580 | + | 0.767056i | ||||
\(289\) | −114.022 | −0.394541 | ||||||||
\(290\) | 92.3447 | − | 18.4119i | 0.318430 | − | 0.0634894i | ||||
\(291\) | −22.9106 | + | 417.010i | −0.0787307 | + | 1.43303i | ||||
\(292\) | −77.0799 | − | 185.612i | −0.263972 | − | 0.635658i | ||||
\(293\) | −143.968 | + | 143.968i | −0.491360 | + | 0.491360i | −0.908735 | − | 0.417375i | \(-0.862950\pi\) |
0.417375 | + | 0.908735i | \(0.362950\pi\) | |||||||
\(294\) | −86.3734 | − | 604.528i | −0.293787 | − | 2.05622i | ||||
\(295\) | − | 387.764i | − | 1.31446i | ||||||
\(296\) | 111.056 | + | 21.9337i | 0.375189 | + | 0.0741005i | ||||
\(297\) | −39.2951 | − | 54.9557i | −0.132307 | − | 0.185036i | ||||
\(298\) | −183.589 | + | 275.029i | −0.616069 | + | 0.922916i | ||||
\(299\) | 31.4823 | − | 31.4823i | 0.105292 | − | 0.105292i | ||||
\(300\) | 12.5428 | − | 4.41879i | 0.0418094 | − | 0.0147293i | ||||
\(301\) | 261.344 | − | 261.344i | 0.868252 | − | 0.868252i | ||||
\(302\) | 4.29092 | + | 21.5210i | 0.0142083 | + | 0.0712617i | ||||
\(303\) | −356.352 | − | 397.784i | −1.17608 | − | 1.31282i | ||||
\(304\) | 0.359116 | + | 198.462i | 0.00118130 | + | 0.652837i | ||||
\(305\) | − | 138.875i | − | 0.455328i | ||||||
\(306\) | −31.4099 | − | 359.990i | −0.102647 | − | 1.17644i | ||||
\(307\) | −89.3258 | + | 89.3258i | −0.290964 | + | 0.290964i | −0.837461 | − | 0.546497i | \(-0.815961\pi\) |
0.546497 | + | 0.837461i | \(0.315961\pi\) | |||||||
\(308\) | −113.587 | − | 46.9288i | −0.368788 | − | 0.152366i | ||||
\(309\) | −79.0619 | − | 4.34368i | −0.255864 | − | 0.0140572i | ||||
\(310\) | −213.285 | + | 319.517i | −0.688017 | + | 1.03070i | ||||
\(311\) | −314.507 | −1.01128 | −0.505638 | − | 0.862746i | \(-0.668743\pi\) | ||||
−0.505638 | + | 0.862746i | \(0.668743\pi\) | |||||||
\(312\) | −78.5428 | − | 20.0450i | −0.251740 | − | 0.0642469i | ||||
\(313\) | − | 103.874i | − | 0.331867i | −0.986137 | − | 0.165934i | \(-0.946936\pi\) | ||
0.986137 | − | 0.165934i | \(-0.0530638\pi\) | |||||||
\(314\) | 78.2408 | − | 117.210i | 0.249175 | − | 0.373281i | ||||
\(315\) | −353.142 | − | 440.625i | −1.12108 | − | 1.39881i | ||||
\(316\) | 77.3178 | − | 32.1080i | 0.244676 | − | 0.101608i | ||||
\(317\) | −321.109 | − | 321.109i | −1.01296 | − | 1.01296i | −0.999915 | − | 0.0130482i | \(-0.995847\pi\) |
−0.0130482 | − | 0.999915i | \(-0.504153\pi\) | |||||||
\(318\) | 146.095 | + | 109.567i | 0.459417 | + | 0.344549i | ||||
\(319\) | −23.0557 | −0.0722750 | ||||||||
\(320\) | 125.963 | + | 301.782i | 0.393634 | + | 0.943069i | ||||
\(321\) | 237.665 | + | 265.297i | 0.740388 | + | 0.826472i | ||||
\(322\) | 63.3002 | + | 317.481i | 0.196585 | + | 0.985966i | ||||
\(323\) | −176.079 | − | 176.079i | −0.545138 | − | 0.545138i | ||||
\(324\) | 319.104 | − | 56.1123i | 0.984889 | − | 0.173186i | ||||
\(325\) | 2.64668 | + | 2.64668i | 0.00814363 | + | 0.00814363i | ||||
\(326\) | −104.307 | + | 156.260i | −0.319961 | + | 0.479325i | ||||
\(327\) | 6.49746 | + | 7.25291i | 0.0198699 | + | 0.0221801i | ||||
\(328\) | −30.3980 | + | 20.3710i | −0.0926768 | + | 0.0621068i | ||||
\(329\) | −673.348 | −2.04665 | ||||||||
\(330\) | −75.9402 | + | 10.8501i | −0.230122 | + | 0.0328792i | ||||
\(331\) | −313.858 | − | 313.858i | −0.948213 | − | 0.948213i | 0.0505107 | − | 0.998724i | \(-0.483915\pi\) |
−0.998724 | + | 0.0505107i | \(0.983915\pi\) | |||||||
\(332\) | −33.2405 | − | 13.7334i | −0.100122 | − | 0.0413658i | ||||
\(333\) | −79.6439 | − | 99.3740i | −0.239171 | − | 0.298420i | ||||
\(334\) | −358.643 | + | 71.5073i | −1.07378 | + | 0.214094i | ||||
\(335\) | 228.057i | 0.680768i | ||||||||
\(336\) | 438.292 | − | 394.072i | 1.30444 | − | 1.17283i | ||||
\(337\) | −236.028 | −0.700380 | −0.350190 | − | 0.936679i | \(-0.613883\pi\) | ||||
−0.350190 | + | 0.936679i | \(0.613883\pi\) | |||||||
\(338\) | 61.6293 | + | 309.101i | 0.182335 | + | 0.914499i | ||||
\(339\) | 532.088 | + | 29.2330i | 1.56958 | + | 0.0862331i | ||||
\(340\) | −379.220 | − | 156.676i | −1.11535 | − | 0.460812i | ||||
\(341\) | 66.5125 | − | 66.5125i | 0.195051 | − | 0.195051i | ||||
\(342\) | 143.556 | − | 171.002i | 0.419754 | − | 0.500004i | ||||
\(343\) | 648.069i | 1.88941i | ||||||||
\(344\) | 236.232 | + | 46.6563i | 0.686722 | + | 0.135629i | ||||
\(345\) | 134.829 | + | 150.506i | 0.390809 | + | 0.436248i | ||||
\(346\) | 291.257 | + | 194.421i | 0.841783 | + | 0.561911i | ||||
\(347\) | 441.946 | − | 441.946i | 1.27362 | − | 1.27362i | 0.329445 | − | 0.944175i | \(-0.393138\pi\) |
0.944175 | − | 0.329445i | \(-0.106862\pi\) | |||||||
\(348\) | 47.7635 | − | 99.7221i | 0.137252 | − | 0.286558i | ||||
\(349\) | −476.643 | + | 476.643i | −1.36574 | + | 1.36574i | −0.499321 | + | 0.866417i | \(0.666417\pi\) |
−0.866417 | + | 0.499321i | \(0.833583\pi\) | |||||||
\(350\) | −26.6903 | + | 5.32158i | −0.0762579 | + | 0.0152045i | ||||
\(351\) | 53.0414 | + | 74.1805i | 0.151115 | + | 0.211341i | ||||
\(352\) | −15.7985 | − | 78.4960i | −0.0448821 | − | 0.223000i | ||||
\(353\) | 452.246i | 1.28115i | 0.767895 | + | 0.640575i | \(0.221304\pi\) | ||||
−0.767895 | + | 0.640575i | \(0.778696\pi\) | |||||||
\(354\) | −364.273 | − | 273.194i | −1.02902 | − | 0.771733i | ||||
\(355\) | 235.289 | − | 235.289i | 0.662785 | − | 0.662785i | ||||
\(356\) | 614.701 | − | 255.269i | 1.72669 | − | 0.717049i | ||||
\(357\) | −40.5687 | + | 738.415i | −0.113638 | + | 2.06839i | ||||
\(358\) | 396.724 | + | 264.823i | 1.10817 | + | 0.739729i | ||||
\(359\) | 617.295 | 1.71948 | 0.859742 | − | 0.510728i | \(-0.170624\pi\) | ||||
0.859742 | + | 0.510728i | \(0.170624\pi\) | |||||||
\(360\) | 110.392 | − | 350.939i | 0.306645 | − | 0.974832i | ||||
\(361\) | 207.143i | 0.573803i | ||||||||
\(362\) | −381.479 | − | 254.647i | −1.05381 | − | 0.703443i | ||||
\(363\) | −343.699 | − | 18.8829i | −0.946829 | − | 0.0520190i | ||||
\(364\) | 153.322 | + | 63.3455i | 0.421214 | + | 0.174026i | ||||
\(365\) | 181.538 | + | 181.538i | 0.497364 | + | 0.497364i | ||||
\(366\) | −130.462 | − | 97.8424i | −0.356453 | − | 0.267329i | ||||
\(367\) | −11.3588 | −0.0309505 | −0.0154753 | − | 0.999880i | \(-0.504926\pi\) | ||||
−0.0154753 | + | 0.999880i | \(0.504926\pi\) | |||||||
\(368\) | −148.868 | + | 149.408i | −0.404533 | + | 0.406000i | ||||
\(369\) | 40.9189 | + | 4.50980i | 0.110891 | + | 0.0122217i | ||||
\(370\) | −141.812 | + | 28.2749i | −0.383277 | + | 0.0764187i | ||||
\(371\) | −264.266 | − | 264.266i | −0.712306 | − | 0.712306i | ||||
\(372\) | 149.893 | + | 425.475i | 0.402939 | + | 1.14375i | ||||
\(373\) | −59.4092 | − | 59.4092i | −0.159274 | − | 0.159274i | 0.622971 | − | 0.782245i | \(-0.285925\pi\) |
−0.782245 | + | 0.622971i | \(0.785925\pi\) | |||||||
\(374\) | 83.5589 | + | 55.7776i | 0.223419 | + | 0.149138i | ||||
\(375\) | 272.783 | − | 244.370i | 0.727421 | − | 0.651654i | ||||
\(376\) | −244.220 | − | 364.429i | −0.649520 | − | 0.969226i | ||||
\(377\) | 31.1212 | 0.0825495 | ||||||||
\(378\) | −662.732 | + | 21.3120i | −1.75326 | + | 0.0563810i | ||||
\(379\) | 435.432 | + | 435.432i | 1.14890 | + | 1.14890i | 0.986770 | + | 0.162129i | \(0.0518359\pi\) |
0.162129 | + | 0.986770i | \(0.448164\pi\) | |||||||
\(380\) | −97.2287 | − | 234.132i | −0.255865 | − | 0.616136i | ||||
\(381\) | 25.0425 | − | 455.813i | 0.0657283 | − | 1.19636i | ||||
\(382\) | −23.8073 | − | 119.405i | −0.0623228 | − | 0.312579i | ||||
\(383\) | − | 272.117i | − | 0.710488i | −0.934774 | − | 0.355244i | \(-0.884398\pi\) | ||
0.934774 | − | 0.355244i | \(-0.115602\pi\) | |||||||
\(384\) | 372.245 | + | 94.2841i | 0.969389 | + | 0.245532i | ||||
\(385\) | 156.992 | 0.407772 | ||||||||
\(386\) | 348.875 | − | 69.5596i | 0.903821 | − | 0.180206i | ||||
\(387\) | −169.414 | − | 211.383i | −0.437763 | − | 0.546210i | ||||
\(388\) | 514.271 | − | 213.563i | 1.32544 | − | 0.550421i | ||||
\(389\) | 260.985 | − | 260.985i | 0.670913 | − | 0.670913i | −0.287013 | − | 0.957927i | \(-0.592662\pi\) |
0.957927 | + | 0.287013i | \(0.0926623\pi\) | |||||||
\(390\) | 102.506 | − | 14.6458i | 0.262836 | − | 0.0375533i | ||||
\(391\) | − | 264.636i | − | 0.676818i | ||||||
\(392\) | −676.387 | + | 453.277i | −1.72548 | + | 1.15632i | ||||
\(393\) | 207.601 | − | 185.978i | 0.528248 | − | 0.473226i | ||||
\(394\) | 105.119 | − | 157.476i | 0.266800 | − | 0.399686i | ||||
\(395\) | −75.6206 | + | 75.6206i | −0.191445 | + | 0.191445i | ||||
\(396\) | −43.3097 | + | 78.9840i | −0.109368 | + | 0.199454i | ||||
\(397\) | 258.248 | − | 258.248i | 0.650500 | − | 0.650500i | −0.302614 | − | 0.953113i | \(-0.597859\pi\) |
0.953113 | + | 0.302614i | \(0.0978592\pi\) | |||||||
\(398\) | 0.323150 | + | 1.62075i | 0.000811935 | + | 0.00407225i | ||||
\(399\) | −340.336 | + | 304.887i | −0.852972 | + | 0.764128i | ||||
\(400\) | −12.5605 | − | 12.5152i | −0.0314014 | − | 0.0312879i | ||||
\(401\) | − | 430.073i | − | 1.07250i | −0.844059 | − | 0.536250i | \(-0.819840\pi\) | ||
0.844059 | − | 0.536250i | \(-0.180160\pi\) | |||||||
\(402\) | 214.241 | + | 160.674i | 0.532939 | + | 0.399688i | ||||
\(403\) | −89.7801 | + | 89.7801i | −0.222779 | + | 0.222779i | ||||
\(404\) | −271.905 | + | 658.121i | −0.673033 | + | 1.62901i | ||||
\(405\) | −349.367 | + | 221.897i | −0.862635 | + | 0.547894i | ||||
\(406\) | −125.633 | + | 188.207i | −0.309440 | + | 0.463563i | ||||
\(407\) | 35.4063 | 0.0869935 | ||||||||
\(408\) | −414.358 | + | 245.862i | −1.01558 | + | 0.602604i | ||||
\(409\) | 207.501i | 0.507337i | 0.967291 | + | 0.253668i | \(0.0816372\pi\) | ||||
−0.967291 | + | 0.253668i | \(0.918363\pi\) | |||||||
\(410\) | 25.9517 | − | 38.8776i | 0.0632969 | − | 0.0948233i | ||||
\(411\) | −8.74718 | + | 159.213i | −0.0212827 | + | 0.387379i | ||||
\(412\) | 40.4900 | + | 97.5019i | 0.0982767 | + | 0.236655i | ||||
\(413\) | 658.921 | + | 658.921i | 1.59545 | + | 1.59545i | ||||
\(414\) | 236.380 | − | 20.6246i | 0.570965 | − | 0.0498180i | ||||
\(415\) | 45.9428 | 0.110706 | ||||||||
\(416\) | 21.3252 | + | 105.956i | 0.0512624 | + | 0.254701i | ||||
\(417\) | 509.793 | − | 456.694i | 1.22253 | − | 1.09519i | ||||
\(418\) | 12.1376 | + | 60.8757i | 0.0290372 | + | 0.145636i | ||||
\(419\) | −108.717 | − | 108.717i | −0.259467 | − | 0.259467i | 0.565370 | − | 0.824837i | \(-0.308733\pi\) |
−0.824837 | + | 0.565370i | \(0.808733\pi\) | |||||||
\(420\) | −325.234 | + | 679.032i | −0.774366 | + | 1.61674i | ||||
\(421\) | −484.985 | − | 484.985i | −1.15198 | − | 1.15198i | −0.986155 | − | 0.165829i | \(-0.946970\pi\) |
−0.165829 | − | 0.986155i | \(-0.553030\pi\) | |||||||
\(422\) | −284.768 | + | 426.604i | −0.674807 | + | 1.01091i | ||||
\(423\) | −54.0661 | + | 490.559i | −0.127816 | + | 1.15971i | ||||
\(424\) | 47.1779 | − | 238.873i | 0.111269 | − | 0.563380i | ||||
\(425\) | 22.2476 | 0.0523474 | ||||||||
\(426\) | −55.2655 | − | 386.804i | −0.129731 | − | 0.907990i | ||||
\(427\) | 235.988 | + | 235.988i | 0.552665 | + | 0.552665i | ||||
\(428\) | 181.344 | − | 438.926i | 0.423701 | − | 1.02553i | ||||
\(429\) | −25.3154 | − | 1.39083i | −0.0590102 | − | 0.00324203i | ||||
\(430\) | −301.656 | + | 60.1450i | −0.701525 | + | 0.139872i | ||||
\(431\) | 213.570i | 0.495522i | 0.968821 | + | 0.247761i | \(0.0796947\pi\) | ||||
−0.968821 | + | 0.247761i | \(0.920305\pi\) | |||||||
\(432\) | −251.904 | − | 350.954i | −0.583111 | − | 0.812393i | ||||
\(433\) | 440.669 | 1.01771 | 0.508856 | − | 0.860852i | \(-0.330069\pi\) | ||||
0.508856 | + | 0.860852i | \(0.330069\pi\) | |||||||
\(434\) | −180.517 | − | 905.381i | −0.415939 | − | 2.08613i | ||||
\(435\) | −7.74826 | + | 141.031i | −0.0178121 | + | 0.324209i | ||||
\(436\) | 4.95772 | − | 11.9997i | 0.0113709 | − | 0.0275222i | ||||
\(437\) | 115.619 | − | 115.619i | 0.264574 | − | 0.264574i | ||||
\(438\) | 298.440 | − | 42.6403i | 0.681370 | − | 0.0973523i | ||||
\(439\) | − | 400.367i | − | 0.911998i | −0.889980 | − | 0.455999i | \(-0.849282\pi\) | ||
0.889980 | − | 0.455999i | \(-0.150718\pi\) | |||||||
\(440\) | 56.9401 | + | 84.9671i | 0.129409 | + | 0.193107i | ||||
\(441\) | 910.488 | + | 100.348i | 2.06460 | + | 0.227546i | ||||
\(442\) | −112.790 | − | 75.2899i | −0.255180 | − | 0.170339i | ||||
\(443\) | −324.076 | + | 324.076i | −0.731549 | + | 0.731549i | −0.970926 | − | 0.239378i | \(-0.923057\pi\) |
0.239378 | + | 0.970926i | \(0.423057\pi\) | |||||||
\(444\) | −73.3498 | + | 153.142i | −0.165202 | + | 0.344914i | ||||
\(445\) | −601.208 | + | 601.208i | −1.35103 | + | 1.35103i | ||||
\(446\) | −34.7831 | + | 6.93515i | −0.0779891 | + | 0.0155497i | ||||
\(447\) | −330.965 | − | 369.446i | −0.740414 | − | 0.826500i | ||||
\(448\) | −726.860 | − | 298.766i | −1.62245 | − | 0.666889i | ||||
\(449\) | − | 691.918i | − | 1.54102i | −0.637427 | − | 0.770510i | \(-0.720001\pi\) | ||
0.637427 | − | 0.770510i | \(-0.279999\pi\) | |||||||
\(450\) | 1.73389 | + | 19.8722i | 0.00385309 | + | 0.0441603i | ||||
\(451\) | −8.09298 | + | 8.09298i | −0.0179445 | + | 0.0179445i | ||||
\(452\) | −272.498 | − | 656.189i | −0.602872 | − | 1.45174i | ||||
\(453\) | −32.8674 | − | 1.80574i | −0.0725549 | − | 0.00398618i | ||||
\(454\) | 17.7321 | + | 11.8366i | 0.0390574 | + | 0.0260718i | ||||
\(455\) | −211.912 | −0.465740 | ||||||||
\(456\) | −288.449 | − | 73.6154i | −0.632563 | − | 0.161437i | ||||
\(457\) | 385.436i | 0.843404i | 0.906734 | + | 0.421702i | \(0.138567\pi\) | ||||
−0.906734 | + | 0.421702i | \(0.861433\pi\) | |||||||
\(458\) | 526.357 | + | 351.357i | 1.14925 | + | 0.767154i | ||||
\(459\) | 534.705 | + | 88.8463i | 1.16494 | + | 0.193565i | ||||
\(460\) | 102.878 | − | 249.006i | 0.223648 | − | 0.541318i | ||||
\(461\) | −312.070 | − | 312.070i | −0.676942 | − | 0.676942i | 0.282365 | − | 0.959307i | \(-0.408881\pi\) |
−0.959307 | + | 0.282365i | \(0.908881\pi\) | |||||||
\(462\) | 110.606 | − | 147.481i | 0.239408 | − | 0.319224i | ||||
\(463\) | 718.961 | 1.55283 | 0.776416 | − | 0.630220i | \(-0.217035\pi\) | ||||
0.776416 | + | 0.630220i | \(0.217035\pi\) | |||||||
\(464\) | −147.427 | + | 0.266768i | −0.317731 | + | 0.000574932i | ||||
\(465\) | −384.501 | − | 429.206i | −0.826884 | − | 0.923024i | ||||
\(466\) | −242.398 | + | 48.3300i | −0.520168 | + | 0.103712i | ||||
\(467\) | −82.7894 | − | 82.7894i | −0.177279 | − | 0.177279i | 0.612889 | − | 0.790169i | \(-0.290007\pi\) |
−0.790169 | + | 0.612889i | \(0.790007\pi\) | |||||||
\(468\) | 58.4605 | − | 106.614i | 0.124916 | − | 0.227809i | ||||
\(469\) | −387.534 | − | 387.534i | −0.826298 | − | 0.826298i | ||||
\(470\) | 466.087 | + | 311.124i | 0.991674 | + | 0.661967i | ||||
\(471\) | 141.049 | + | 157.448i | 0.299467 | + | 0.334285i | ||||
\(472\) | −117.634 | + | 595.607i | −0.249224 | + | 1.26188i | ||||
\(473\) | 75.3145 | 0.159227 | ||||||||
\(474\) | 17.7621 | + | 124.317i | 0.0374727 | + | 0.262272i | ||||
\(475\) | 9.71993 | + | 9.71993i | 0.0204630 | + | 0.0204630i | ||||
\(476\) | 910.638 | − | 378.164i | 1.91311 | − | 0.794463i | ||||
\(477\) | −213.746 | + | 171.308i | −0.448106 | + | 0.359137i | ||||
\(478\) | 46.3419 | + | 232.427i | 0.0969497 | + | 0.486249i | ||||
\(479\) | 749.099i | 1.56388i | 0.623353 | + | 0.781941i | \(0.285770\pi\) | ||||
−0.623353 | + | 0.781941i | \(0.714230\pi\) | |||||||
\(480\) | −485.466 | + | 70.2587i | −1.01139 | + | 0.146372i | ||||
\(481\) | −47.7923 | −0.0993603 | ||||||||
\(482\) | −518.125 | + | 103.305i | −1.07495 | + | 0.214326i | ||||
\(483\) | −484.864 | − | 26.6385i | −1.00386 | − | 0.0551523i | ||||
\(484\) | 176.018 | + | 423.861i | 0.363675 | + | 0.875746i | ||||
\(485\) | −502.983 | + | 502.983i | −1.03708 | + | 1.03708i | ||||
\(486\) | −37.6871 | + | 484.537i | −0.0775454 | + | 0.996989i | ||||
\(487\) | 533.210i | 1.09489i | 0.836843 | + | 0.547443i | \(0.184399\pi\) | ||||
−0.836843 | + | 0.547443i | \(0.815601\pi\) | |||||||
\(488\) | −42.1297 | + | 213.313i | −0.0863313 | + | 0.437116i | ||||
\(489\) | −188.040 | − | 209.904i | −0.384541 | − | 0.429251i | ||||
\(490\) | 577.453 | − | 865.067i | 1.17848 | − | 1.76544i | ||||
\(491\) | −6.75013 | + | 6.75013i | −0.0137477 | + | 0.0137477i | −0.713947 | − | 0.700200i | \(-0.753094\pi\) |
0.700200 | + | 0.713947i | \(0.253094\pi\) | |||||||
\(492\) | −18.2384 | − | 51.7701i | −0.0370699 | − | 0.105224i | ||||
\(493\) | 130.800 | − | 130.800i | 0.265315 | − | 0.265315i | ||||
\(494\) | −16.3836 | − | 82.1715i | −0.0331651 | − | 0.166339i | ||||
\(495\) | 12.6056 | − | 114.375i | 0.0254658 | − | 0.231060i | ||||
\(496\) | 424.537 | − | 426.076i | 0.855921 | − | 0.859025i | ||||
\(497\) | 799.644i | 1.60894i | ||||||||
\(498\) | 32.3683 | − | 43.1596i | 0.0649967 | − | 0.0866658i | ||||
\(499\) | 556.347 | − | 556.347i | 1.11492 | − | 1.11492i | 0.122448 | − | 0.992475i | \(-0.460925\pi\) |
0.992475 | − | 0.122448i | \(-0.0390746\pi\) | |||||||
\(500\) | −451.310 | − | 186.461i | −0.902620 | − | 0.372921i | ||||
\(501\) | 30.0923 | − | 547.728i | 0.0600645 | − | 1.09327i | ||||
\(502\) | 239.439 | − | 358.696i | 0.476969 | − | 0.714534i | ||||
\(503\) | 304.892 | 0.606147 | 0.303074 | − | 0.952967i | \(-0.401987\pi\) | ||||
0.303074 | + | 0.952967i | \(0.401987\pi\) | |||||||
\(504\) | 408.757 | + | 783.933i | 0.811026 | + | 1.55542i | ||||
\(505\) | − | 909.612i | − | 1.80121i | ||||||
\(506\) | −36.6251 | + | 54.8671i | −0.0723817 | + | 0.108433i | ||||
\(507\) | −472.065 | − | 25.9354i | −0.931095 | − | 0.0511546i | ||||
\(508\) | −562.125 | + | 233.436i | −1.10654 | + | 0.459519i | ||||
\(509\) | −118.591 | − | 118.591i | −0.232988 | − | 0.232988i | 0.580951 | − | 0.813939i | \(-0.302681\pi\) |
−0.813939 | + | 0.580951i | \(0.802681\pi\) | |||||||
\(510\) | 369.270 | − | 492.380i | 0.724059 | − | 0.965452i | ||||
\(511\) | −616.968 | −1.20737 | ||||||||
\(512\) | −101.930 | − | 501.751i | −0.199082 | − | 0.979983i | ||||
\(513\) | 194.795 | + | 272.428i | 0.379716 | + | 0.531049i | ||||
\(514\) | 44.2368 | + | 221.869i | 0.0860638 | + | 0.431651i | ||||
\(515\) | −95.3617 | − | 95.3617i | −0.185168 | − | 0.185168i | ||||
\(516\) | −156.026 | + | 325.755i | −0.302376 | + | 0.631309i | ||||
\(517\) | −97.0233 | − | 97.0233i | −0.187666 | − | 0.187666i | ||||
\(518\) | 192.932 | − | 289.026i | 0.372456 | − | 0.557966i | ||||
\(519\) | −391.244 | + | 350.493i | −0.753843 | + | 0.675324i | ||||
\(520\) | −76.8591 | − | 114.691i | −0.147806 | − | 0.220559i | ||||
\(521\) | −105.077 | −0.201683 | −0.100842 | − | 0.994902i | \(-0.532154\pi\) | ||||
−0.100842 | + | 0.994902i | \(0.532154\pi\) | |||||||
\(522\) | 127.028 | + | 106.640i | 0.243349 | + | 0.204291i | ||||
\(523\) | −479.455 | − | 479.455i | −0.916740 | − | 0.916740i | 0.0800507 | − | 0.996791i | \(-0.474492\pi\) |
−0.996791 | + | 0.0800507i | \(0.974492\pi\) | |||||||
\(524\) | −343.470 | − | 141.906i | −0.655476 | − | 0.270813i | ||||
\(525\) | 2.23947 | − | 40.7619i | 0.00426566 | − | 0.0776418i | ||||
\(526\) | 253.656 | − | 50.5746i | 0.482235 | − | 0.0961494i | ||||
\(527\) | 754.679i | 1.43203i | ||||||||
\(528\) | 119.936 | + | 6.37165i | 0.227151 | + | 0.0120675i | ||||
\(529\) | −355.232 | −0.671517 | ||||||||
\(530\) | 60.8174 | + | 305.028i | 0.114750 | + | 0.575525i | ||||
\(531\) | 532.956 | − | 427.141i | 1.00368 | − | 0.804408i | ||||
\(532\) | 563.074 | + | 232.636i | 1.05841 | + | 0.437287i | ||||
\(533\) | 10.9241 | − | 10.9241i | 0.0204955 | − | 0.0204955i | ||||
\(534\) | 141.214 | + | 988.359i | 0.264446 | + | 1.85086i | ||||
\(535\) | 606.655i | 1.13393i | ||||||||
\(536\) | 69.1843 | − | 350.297i | 0.129075 | − | 0.653539i | ||||
\(537\) | −532.918 | + | 477.410i | −0.992399 | + | 0.889032i | ||||
\(538\) | 304.543 | + | 203.290i | 0.566065 | + | 0.377862i | ||||
\(539\) | −180.077 | + | 180.077i | −0.334095 | + | 0.334095i | ||||
\(540\) | 468.586 | + | 291.467i | 0.867752 | + | 0.539754i | ||||
\(541\) | 726.230 | − | 726.230i | 1.34238 | − | 1.34238i | 0.448704 | − | 0.893680i | \(-0.351886\pi\) |
0.893680 | − | 0.448704i | \(-0.148114\pi\) | |||||||
\(542\) | 334.864 | − | 66.7660i | 0.617829 | − | 0.123184i | ||||
\(543\) | 512.439 | − | 459.065i | 0.943719 | − | 0.845423i | ||||
\(544\) | 534.953 | + | 355.697i | 0.983370 | + | 0.653854i | ||||
\(545\) | 16.5852i | 0.0304316i | ||||||||
\(546\) | −149.299 | + | 199.074i | −0.273442 | + | 0.364604i | ||||
\(547\) | 314.507 | − | 314.507i | 0.574966 | − | 0.574966i | −0.358546 | − | 0.933512i | \(-0.616727\pi\) |
0.933512 | + | 0.358546i | \(0.116727\pi\) | |||||||
\(548\) | 196.347 | − | 81.5376i | 0.358297 | − | 0.148791i | ||||
\(549\) | 190.875 | − | 152.978i | 0.347677 | − | 0.278648i | ||||
\(550\) | −4.61261 | − | 3.07903i | −0.00838657 | − | 0.00559824i | ||||
\(551\) | 114.292 | 0.207427 | ||||||||
\(552\) | −161.440 | − | 272.079i | −0.292464 | − | 0.492897i | ||||
\(553\) | − | 257.002i | − | 0.464741i | ||||||
\(554\) | 268.301 | + | 179.097i | 0.484298 | + | 0.323281i | ||||
\(555\) | 11.8989 | − | 216.579i | 0.0214394 | − | 0.390232i | ||||
\(556\) | −843.436 | − | 348.469i | −1.51697 | − | 0.626743i | ||||
\(557\) | 134.274 | + | 134.274i | 0.241066 | + | 0.241066i | 0.817291 | − | 0.576225i | \(-0.195475\pi\) |
−0.576225 | + | 0.817291i | \(0.695475\pi\) | |||||||
\(558\) | −674.099 | + | 58.8166i | −1.20806 | + | 0.105406i | ||||
\(559\) | −101.661 | −0.181863 | ||||||||
\(560\) | 1003.87 | − | 1.81649i | 1.79262 | − | 0.00324373i | ||||
\(561\) | −112.244 | + | 100.553i | −0.200079 | + | 0.179239i | ||||
\(562\) | 267.667 | − | 53.3681i | 0.476275 | − | 0.0949610i | ||||
\(563\) | 102.810 | + | 102.810i | 0.182612 | + | 0.182612i | 0.792493 | − | 0.609881i | \(-0.208783\pi\) |
−0.609881 | + | 0.792493i | \(0.708783\pi\) | |||||||
\(564\) | 620.651 | − | 218.653i | 1.10044 | − | 0.387682i | ||||
\(565\) | 641.785 | + | 641.785i | 1.13590 | + | 1.13590i | ||||
\(566\) | −312.070 | − | 208.315i | −0.551361 | − | 0.368047i | ||||
\(567\) | 216.608 | − | 970.739i | 0.382024 | − | 1.71206i | ||||
\(568\) | −432.783 | + | 290.026i | −0.761941 | + | 0.510610i | ||||
\(569\) | 78.4572 | 0.137886 | 0.0689430 | − | 0.997621i | \(-0.478037\pi\) | ||||
0.0689430 | + | 0.997621i | \(0.478037\pi\) | |||||||
\(570\) | 376.453 | − | 53.7866i | 0.660444 | − | 0.0943624i | ||||
\(571\) | 363.164 | + | 363.164i | 0.636013 | + | 0.636013i | 0.949570 | − | 0.313556i | \(-0.101520\pi\) |
−0.313556 | + | 0.949570i | \(0.601520\pi\) | |||||||
\(572\) | 12.9648 | + | 31.2198i | 0.0226657 | + | 0.0545800i | ||||
\(573\) | 182.358 | + | 10.0188i | 0.318251 | + | 0.0174848i | ||||
\(574\) | 21.9646 | + | 110.163i | 0.0382659 | + | 0.191922i | ||||
\(575\) | 14.6084i | 0.0254060i | ||||||||
\(576\) | −276.025 | + | 505.555i | −0.479210 | + | 0.877700i | ||||
\(577\) | −566.880 | −0.982460 | −0.491230 | − | 0.871030i | \(-0.663453\pi\) | ||||
−0.491230 | + | 0.871030i | \(0.663453\pi\) | |||||||
\(578\) | −223.643 | + | 44.5905i | −0.386925 | + | 0.0771462i | ||||
\(579\) | −29.2727 | + | 532.809i | −0.0505573 | + | 0.920223i | ||||
\(580\) | 173.924 | − | 72.2261i | 0.299869 | − | 0.124528i | ||||
\(581\) | −78.0698 | + | 78.0698i | −0.134371 | + | 0.134371i | ||||
\(582\) | 118.143 | + | 826.881i | 0.202994 | + | 1.42076i | ||||
\(583\) | − | 76.1565i | − | 0.130629i | ||||||
\(584\) | −223.771 | − | 333.915i | −0.383170 | − | 0.571772i | ||||
\(585\) | −17.0153 | + | 154.385i | −0.0290860 | + | 0.263907i | ||||
\(586\) | −226.077 | + | 338.680i | −0.385798 | + | 0.577953i | ||||
\(587\) | 73.3693 | − | 73.3693i | 0.124990 | − | 0.124990i | −0.641845 | − | 0.766835i | \(-0.721831\pi\) |
0.766835 | + | 0.641845i | \(0.221831\pi\) | |||||||
\(588\) | −405.824 | − | 1151.94i | −0.690177 | − | 1.95908i | ||||
\(589\) | −329.717 | + | 329.717i | −0.559792 | + | 0.559792i | ||||
\(590\) | −151.642 | − | 760.559i | −0.257021 | − | 1.28908i | ||||
\(591\) | 189.504 | + | 211.538i | 0.320650 | + | 0.357932i | ||||
\(592\) | 226.402 | − | 0.409672i | 0.382436 | − | 0.000692014i | ||||
\(593\) | − | 458.708i | − | 0.773538i | −0.922177 | − | 0.386769i | \(-0.873591\pi\) | ||
0.922177 | − | 0.386769i | \(-0.126409\pi\) | |||||||
\(594\) | −98.5645 | − | 92.4228i | −0.165934 | − | 0.155594i | ||||
\(595\) | −890.650 | + | 890.650i | −1.49689 | + | 1.49689i | ||||
\(596\) | −252.534 | + | 611.236i | −0.423716 | + | 1.02556i | ||||
\(597\) | −2.47525 | − | 0.135991i | −0.00414615 | − | 0.000227790i | ||||
\(598\) | 49.4375 | − | 74.0609i | 0.0826714 | − | 0.123848i | ||||
\(599\) | −423.611 | −0.707197 | −0.353599 | − | 0.935397i | \(-0.615042\pi\) | ||||
−0.353599 | + | 0.935397i | \(0.615042\pi\) | |||||||
\(600\) | 22.8734 | − | 13.5721i | 0.0381223 | − | 0.0226201i | ||||
\(601\) | 795.376i | 1.32342i | 0.749759 | + | 0.661711i | \(0.230169\pi\) | ||||
−0.749759 | + | 0.661711i | \(0.769831\pi\) | |||||||
\(602\) | 410.395 | − | 614.802i | 0.681719 | − | 1.02126i | ||||
\(603\) | −313.450 | + | 251.216i | −0.519817 | + | 0.416610i | ||||
\(604\) | 16.8324 | + | 40.5332i | 0.0278682 | + | 0.0671079i | ||||
\(605\) | −414.557 | − | 414.557i | −0.685219 | − | 0.685219i | ||||
\(606\) | −854.506 | − | 640.853i | −1.41008 | − | 1.05751i | ||||
\(607\) | −631.699 | −1.04069 | −0.520345 | − | 0.853956i | \(-0.674197\pi\) | ||||
−0.520345 | + | 0.853956i | \(0.674197\pi\) | |||||||
\(608\) | 78.3167 | + | 389.123i | 0.128810 | + | 0.640004i | ||||
\(609\) | −226.484 | − | 252.817i | −0.371896 | − | 0.415135i | ||||
\(610\) | −54.3096 | − | 272.389i | −0.0890322 | − | 0.446539i | ||||
\(611\) | 130.964 | + | 130.964i | 0.214344 | + | 0.214344i | ||||
\(612\) | −202.388 | − | 693.798i | −0.330699 | − | 1.13366i | ||||
\(613\) | 385.264 | + | 385.264i | 0.628490 | + | 0.628490i | 0.947688 | − | 0.319198i | \(-0.103414\pi\) |
−0.319198 | + | 0.947688i | \(0.603414\pi\) | |||||||
\(614\) | −140.271 | + | 210.136i | −0.228454 | + | 0.342240i | ||||
\(615\) | 46.7846 | + | 52.2241i | 0.0760724 | + | 0.0849173i | ||||
\(616\) | −241.140 | − | 47.6257i | −0.391462 | − | 0.0773144i | ||||
\(617\) | 953.333 | 1.54511 | 0.772555 | − | 0.634947i | \(-0.218978\pi\) | ||||
0.772555 | + | 0.634947i | \(0.218978\pi\) | |||||||
\(618\) | −156.770 | + | 22.3989i | −0.253673 | + | 0.0362442i | ||||
\(619\) | −574.046 | − | 574.046i | −0.927377 | − | 0.927377i | 0.0701591 | − | 0.997536i | \(-0.477649\pi\) |
−0.997536 | + | 0.0701591i | \(0.977649\pi\) | |||||||
\(620\) | −293.384 | + | 710.108i | −0.473200 | + | 1.14533i | ||||
\(621\) | −58.3390 | + | 351.103i | −0.0939437 | + | 0.565383i | ||||
\(622\) | −616.872 | + | 122.994i | −0.991755 | + | 0.197739i | ||||
\(623\) | − | 2043.24i | − | 3.27969i | ||||||
\(624\) | −161.892 | − | 8.60061i | −0.259443 | − | 0.0137830i | ||||
\(625\) | 651.477 | 1.04236 | ||||||||
\(626\) | −40.6220 | − | 203.739i | −0.0648914 | − | 0.325461i | ||||
\(627\) | −92.9707 | − | 5.10783i | −0.148279 | − | 0.00814646i | ||||
\(628\) | 107.624 | − | 260.493i | 0.171375 | − | 0.414798i | ||||
\(629\) | −200.868 | + | 200.868i | −0.319345 | + | 0.319345i | ||||
\(630\) | −864.965 | − | 726.137i | −1.37296 | − | 1.15260i | ||||
\(631\) | − | 138.048i | − | 0.218777i | −0.993999 | − | 0.109389i | \(-0.965111\pi\) | ||
0.993999 | − | 0.109389i | \(-0.0348893\pi\) | |||||||
\(632\) | 139.094 | − | 93.2130i | 0.220086 | − | 0.147489i | ||||
\(633\) | −513.367 | − | 573.056i | −0.811007 | − | 0.905301i | ||||
\(634\) | −755.397 | − | 504.246i | −1.19148 | − | 0.795341i | ||||
\(635\) | 549.786 | − | 549.786i | 0.865805 | − | 0.865805i | ||||
\(636\) | 329.397 | + | 157.770i | 0.517920 | + | 0.248066i | ||||
\(637\) | 243.072 | − | 243.072i | 0.381589 | − | 0.381589i | ||||
\(638\) | −45.2214 | + | 9.01636i | −0.0708799 | + | 0.0141322i | ||||
\(639\) | 582.570 | + | 64.2069i | 0.911691 | + | 0.100480i | ||||
\(640\) | 365.080 | + | 542.654i | 0.570438 | + | 0.847896i | ||||
\(641\) | 784.889i | 1.22448i | 0.790673 | + | 0.612238i | \(0.209731\pi\) | ||||
−0.790673 | + | 0.612238i | \(0.790269\pi\) | |||||||
\(642\) | 569.903 | + | 427.410i | 0.887700 | + | 0.665747i | ||||
\(643\) | −238.456 | + | 238.456i | −0.370850 | + | 0.370850i | −0.867787 | − | 0.496937i | \(-0.834458\pi\) |
0.496937 | + | 0.867787i | \(0.334458\pi\) | |||||||
\(644\) | 248.313 | + | 597.951i | 0.385580 | + | 0.928495i | ||||
\(645\) | 25.3107 | − | 460.695i | 0.0392414 | − | 0.714256i | ||||
\(646\) | −414.220 | − | 276.502i | −0.641208 | − | 0.428022i | ||||
\(647\) | −681.751 | −1.05371 | −0.526855 | − | 0.849955i | \(-0.676629\pi\) | ||||
−0.526855 | + | 0.849955i | \(0.676629\pi\) | |||||||
\(648\) | 603.945 | − | 234.850i | 0.932014 | − | 0.362422i | ||||
\(649\) | 189.889i | 0.292587i | ||||||||
\(650\) | 6.22621 | + | 4.15615i | 0.00957879 | + | 0.00639408i | ||||
\(651\) | 1382.72 | + | 75.9668i | 2.12399 | + | 0.116693i | ||||
\(652\) | −143.480 | + | 347.279i | −0.220061 | + | 0.532636i | ||||
\(653\) | 636.071 | + | 636.071i | 0.974075 | + | 0.974075i | 0.999672 | − | 0.0255977i | \(-0.00814890\pi\) |
−0.0255977 | + | 0.999672i | \(0.508149\pi\) | |||||||
\(654\) | 15.5805 | + | 11.6849i | 0.0238233 | + | 0.0178668i | ||||
\(655\) | 474.721 | 0.724766 | ||||||||
\(656\) | −51.6560 | + | 51.8433i | −0.0787439 | + | 0.0790294i | ||||
\(657\) | −49.5391 | + | 449.485i | −0.0754020 | + | 0.684147i | ||||
\(658\) | −1320.70 | + | 263.325i | −2.00714 | + | 0.400190i | ||||
\(659\) | −91.6052 | − | 91.6052i | −0.139006 | − | 0.139006i | 0.634179 | − | 0.773186i | \(-0.281338\pi\) |
−0.773186 | + | 0.634179i | \(0.781338\pi\) | |||||||
\(660\) | −144.706 | + | 50.9792i | −0.219251 | + | 0.0772412i | ||||
\(661\) | 721.715 | + | 721.715i | 1.09185 | + | 1.09185i | 0.995331 | + | 0.0965216i | \(0.0307717\pi\) |
0.0965216 | + | 0.995331i | \(0.469228\pi\) | |||||||
\(662\) | −738.340 | − | 492.860i | −1.11532 | − | 0.744502i | ||||
\(663\) | 151.510 | − | 135.729i | 0.228522 | − | 0.204720i | ||||
\(664\) | −70.5684 | − | 13.9374i | −0.106278 | − | 0.0209900i | ||||
\(665\) | −778.245 | −1.17029 | ||||||||
\(666\) | −195.075 | − | 163.765i | −0.292905 | − | 0.245894i | ||||
\(667\) | 85.8871 | + | 85.8871i | 0.128766 | + | 0.128766i | ||||
\(668\) | −675.477 | + | 280.508i | −1.01119 | + | 0.419922i | ||||
\(669\) | 2.91851 | − | 53.1215i | 0.00436250 | − | 0.0794044i | ||||
\(670\) | 89.1859 | + | 447.310i | 0.133113 | + | 0.667627i | ||||
\(671\) | 68.0074i | 0.101352i | ||||||||
\(672\) | 705.554 | − | 944.332i | 1.04993 | − | 1.40526i | ||||
\(673\) | 417.305 | 0.620067 | 0.310033 | − | 0.950726i | \(-0.399660\pi\) | ||||
0.310033 | + | 0.950726i | \(0.399660\pi\) | |||||||
\(674\) | −462.944 | + | 92.3031i | −0.686861 | + | 0.136948i | ||||
\(675\) | −29.5168 | − | 4.90449i | −0.0437286 | − | 0.00726592i | ||||
\(676\) | 241.759 | + | 582.167i | 0.357631 | + | 0.861194i | ||||
\(677\) | 585.326 | − | 585.326i | 0.864587 | − | 0.864587i | −0.127280 | − | 0.991867i | \(-0.540625\pi\) |
0.991867 | + | 0.127280i | \(0.0406246\pi\) | |||||||
\(678\) | 1055.07 | − | 150.745i | 1.55614 | − | 0.222338i | ||||
\(679\) | − | 1709.42i | − | 2.51756i | ||||||
\(680\) | −805.070 | − | 159.003i | −1.18393 | − | 0.233828i | ||||
\(681\) | −23.8194 | + | 21.3384i | −0.0349771 | + | 0.0313340i | ||||
\(682\) | 104.446 | − | 156.468i | 0.153147 | − | 0.229425i | ||||
\(683\) | −104.261 | + | 104.261i | −0.152651 | + | 0.152651i | −0.779301 | − | 0.626650i | \(-0.784426\pi\) |
0.626650 | + | 0.779301i | \(0.284426\pi\) | |||||||
\(684\) | 214.696 | − | 391.541i | 0.313883 | − | 0.572429i | ||||
\(685\) | −192.037 | + | 192.037i | −0.280346 | + | 0.280346i | ||||
\(686\) | 253.439 | + | 1271.12i | 0.369445 | + | 1.85294i | ||||
\(687\) | −707.054 | + | 633.409i | −1.02919 | + | 0.921993i | ||||
\(688\) | 481.590 | − | 0.871434i | 0.699986 | − | 0.00126662i | ||||
\(689\) | 102.798i | 0.149199i | ||||||||
\(690\) | 323.311 | + | 242.473i | 0.468567 | + | 0.351410i | ||||
\(691\) | −335.701 | + | 335.701i | −0.485818 | + | 0.485818i | −0.906984 | − | 0.421165i | \(-0.861621\pi\) |
0.421165 | + | 0.906984i | \(0.361621\pi\) | |||||||
\(692\) | 647.301 | + | 267.435i | 0.935406 | + | 0.386467i | ||||
\(693\) | 172.934 | + | 215.775i | 0.249544 | + | 0.311364i | ||||
\(694\) | 693.999 | − | 1039.66i | 0.999999 | − | 1.49807i | ||||
\(695\) | 1165.74 | 1.67733 | ||||||||
\(696\) | 54.6850 | − | 214.273i | 0.0785704 | − | 0.307864i | ||||
\(697\) | − | 91.8264i | − | 0.131745i | ||||||
\(698\) | −748.484 | + | 1121.28i | −1.07233 | + | 1.60642i | ||||
\(699\) | 20.3386 | − | 370.196i | 0.0290968 | − | 0.529608i | ||||
\(700\) | −50.2690 | + | 20.8754i | −0.0718129 | + | 0.0298220i | ||||
\(701\) | −490.458 | − | 490.458i | −0.699655 | − | 0.699655i | 0.264681 | − | 0.964336i | \(-0.414733\pi\) |
−0.964336 | + | 0.264681i | \(0.914733\pi\) | |||||||
\(702\) | 133.045 | + | 124.754i | 0.189522 | + | 0.177713i | ||||
\(703\) | −175.517 | −0.249669 | ||||||||
\(704\) | −61.6843 | − | 147.783i | −0.0876198 | − | 0.209920i | ||||
\(705\) | −626.093 | + | 560.881i | −0.888075 | + | 0.795575i | ||||
\(706\) | 176.859 | + | 887.033i | 0.250508 | + | 1.25642i | ||||
\(707\) | 1545.69 | + | 1545.69i | 2.18626 | + | 2.18626i | ||||
\(708\) | −821.320 | − | 393.385i | −1.16006 | − | 0.555628i | ||||
\(709\) | 435.817 | + | 435.817i | 0.614692 | + | 0.614692i | 0.944165 | − | 0.329473i | \(-0.106871\pi\) |
−0.329473 | + | 0.944165i | \(0.606871\pi\) | |||||||
\(710\) | 369.480 | − | 553.508i | 0.520394 | − | 0.779589i | ||||
\(711\) | −187.235 | − | 20.6358i | −0.263341 | − | 0.0290236i | ||||
\(712\) | 1105.84 | − | 741.074i | 1.55315 | − | 1.04083i | ||||
\(713\) | −495.544 | −0.695012 | ||||||||
\(714\) | 209.199 | + | 1464.19i | 0.292996 | + | 2.05068i | ||||
\(715\) | −30.5345 | − | 30.5345i | −0.0427056 | − | 0.0427056i | ||||
\(716\) | 881.696 | + | 364.276i | 1.23142 | + | 0.508765i | ||||
\(717\) | −354.968 | − | 19.5020i | −0.495073 | − | 0.0271994i | ||||
\(718\) | 1210.76 | − | 241.404i | 1.68629 | − | 0.336218i | ||||
\(719\) | − | 1083.05i | − | 1.50633i | −0.657831 | − | 0.753166i | \(-0.728526\pi\) | ||
0.657831 | − | 0.753166i | \(-0.271474\pi\) | |||||||
\(720\) | 79.2816 | − | 731.501i | 0.110113 | − | 1.01597i | ||||
\(721\) | 324.093 | 0.449505 | ||||||||
\(722\) | 81.0069 | + | 406.288i | 0.112198 | + | 0.562726i | ||||
\(723\) | 43.4738 | − | 791.292i | 0.0601297 | − | 1.09446i | ||||
\(724\) | −847.814 | − | 350.278i | −1.17101 | − | 0.483809i | ||||
\(725\) | −7.22042 | + | 7.22042i | −0.00995921 | + | 0.00995921i | ||||
\(726\) | −681.513 | + | 97.3728i | −0.938723 | + | 0.134122i | ||||
\(727\) | 513.215i | 0.705935i | 0.935636 | + | 0.352968i | \(0.114827\pi\) | ||||
−0.935636 | + | 0.352968i | \(0.885173\pi\) | |||||||
\(728\) | 325.497 | + | 64.2863i | 0.447111 | + | 0.0883053i | ||||
\(729\) | −689.828 | − | 235.752i | −0.946266 | − | 0.323390i | ||||
\(730\) | 427.061 | + | 285.074i | 0.585015 | + | 0.390512i | ||||
\(731\) | −427.276 | + | 427.276i | −0.584508 | + | 0.584508i | ||||
\(732\) | −294.150 | − | 140.888i | −0.401845 | − | 0.192470i | ||||
\(733\) | 73.6001 | − | 73.6001i | 0.100409 | − | 0.100409i | −0.655118 | − | 0.755527i | \(-0.727381\pi\) |
0.755527 | + | 0.655118i | \(0.227381\pi\) | |||||||
\(734\) | −22.2791 | + | 4.44208i | −0.0303531 | + | 0.00605188i | ||||
\(735\) | 1041.01 | + | 1162.04i | 1.41633 | + | 1.58101i | ||||
\(736\) | −233.561 | + | 351.265i | −0.317338 | + | 0.477263i | ||||
\(737\) | − | 111.680i | − | 0.151533i | ||||||
\(738\) | 82.0217 | − | 7.15657i | 0.111140 | − | 0.00969725i | ||||
\(739\) | 152.386 | − | 152.386i | 0.206206 | − | 0.206206i | −0.596447 | − | 0.802653i | \(-0.703421\pi\) |
0.802653 | + | 0.596447i | \(0.203421\pi\) | |||||||
\(740\) | −267.092 | + | 110.917i | −0.360936 | + | 0.149887i | ||||
\(741\) | 125.494 | + | 6.89467i | 0.169358 | + | 0.00930455i | ||||
\(742\) | −621.675 | − | 414.983i | −0.837837 | − | 0.559277i | ||||
\(743\) | −574.044 | −0.772603 | −0.386302 | − | 0.922373i | \(-0.626248\pi\) | ||||
−0.386302 | + | 0.922373i | \(0.626248\pi\) | |||||||
\(744\) | 460.389 | + | 775.906i | 0.618803 | + | 1.04288i | ||||
\(745\) | − | 844.811i | − | 1.13397i | ||||||
\(746\) | −139.758 | − | 93.2919i | −0.187343 | − | 0.125056i | ||||
\(747\) | 50.6082 | + | 63.1454i | 0.0677486 | + | 0.0845319i | ||||
\(748\) | 185.705 | + | 76.7246i | 0.248268 | + | 0.102573i | ||||
\(749\) | −1030.88 | − | 1030.88i | −1.37634 | − | 1.37634i | ||||
\(750\) | 439.469 | − | 585.983i | 0.585959 | − | 0.781311i | ||||
\(751\) | −1014.28 | −1.35058 | −0.675289 | − | 0.737553i | \(-0.735981\pi\) | ||||
−0.675289 | + | 0.737553i | \(0.735981\pi\) | |||||||
\(752\) | −621.527 | − | 619.282i | −0.826499 | − | 0.823513i | ||||
\(753\) | 431.649 | + | 481.836i | 0.573239 | + | 0.639888i | ||||
\(754\) | 61.0408 | − | 12.1705i | 0.0809560 | − | 0.0161412i | ||||
\(755\) | −39.6435 | − | 39.6435i | −0.0525079 | − | 0.0525079i | ||||
\(756\) | −1291.54 | + | 300.975i | −1.70839 | + | 0.398115i | ||||
\(757\) | −1003.73 | − | 1003.73i | −1.32594 | − | 1.32594i | −0.908880 | − | 0.417057i | \(-0.863062\pi\) |
−0.417057 | − | 0.908880i | \(-0.636938\pi\) | |||||||
\(758\) | 1024.34 | + | 683.771i | 1.35137 | + | 0.902072i | ||||
\(759\) | −66.0261 | − | 73.7028i | −0.0869909 | − | 0.0971052i | ||||
\(760\) | −282.265 | − | 421.201i | −0.371402 | − | 0.554212i | ||||
\(761\) | 54.1069 | 0.0710997 | 0.0355499 | − | 0.999368i | \(-0.488682\pi\) | ||||
0.0355499 | + | 0.999368i | \(0.488682\pi\) | |||||||
\(762\) | −129.136 | − | 903.823i | −0.169470 | − | 1.18612i | ||||
\(763\) | −28.1829 | − | 28.1829i | −0.0369370 | − | 0.0369370i | ||||
\(764\) | −93.3911 | − | 224.890i | −0.122240 | − | 0.294359i | ||||
\(765\) | 577.358 | + | 720.386i | 0.754716 | + | 0.941681i | ||||
\(766\) | −106.416 | − | 533.728i | −0.138925 | − | 0.696773i | ||||
\(767\) | − | 256.316i | − | 0.334181i | ||||||
\(768\) | 766.991 | + | 39.3551i | 0.998686 | + | 0.0512436i | ||||
\(769\) | 143.904 | 0.187132 | 0.0935659 | − | 0.995613i | \(-0.470173\pi\) | ||||
0.0935659 | + | 0.995613i | \(0.470173\pi\) | |||||||
\(770\) | 307.923 | − | 61.3946i | 0.399900 | − | 0.0797332i | ||||
\(771\) | −338.843 | − | 18.6161i | −0.439485 | − | 0.0241454i | ||||
\(772\) | 657.079 | − | 272.868i | 0.851138 | − | 0.353456i | ||||
\(773\) | 339.143 | − | 339.143i | 0.438736 | − | 0.438736i | −0.452850 | − | 0.891586i | \(-0.649593\pi\) |
0.891586 | + | 0.452850i | \(0.149593\pi\) | |||||||
\(774\) | −414.953 | − | 348.353i | −0.536116 | − | 0.450069i | ||||
\(775\) | − | 41.6598i | − | 0.0537546i | ||||||
\(776\) | 925.171 | − | 619.997i | 1.19223 | − | 0.798965i | ||||
\(777\) | 347.809 | + | 388.248i | 0.447630 | + | 0.499676i | ||||
\(778\) | 409.832 | − | 613.958i | 0.526776 | − | 0.789149i | ||||
\(779\) | 40.1187 | − | 40.1187i | 0.0515003 | − | 0.0515003i | ||||
\(780\) | 195.327 | − | 68.8129i | 0.250419 | − | 0.0882216i | ||||
\(781\) | −115.221 | + | 115.221i | −0.147531 | + | 0.147531i | ||||
\(782\) | −103.491 | − | 519.055i | −0.132341 | − | 0.663754i | ||||
\(783\) | −202.372 | + | 144.703i | −0.258458 | + | 0.184805i | ||||
\(784\) | −1149.40 | + | 1153.57i | −1.46607 | + | 1.47139i | ||||
\(785\) | 360.037i | 0.458646i | ||||||||
\(786\) | 334.458 | − | 445.962i | 0.425519 | − | 0.567382i | ||||
\(787\) | −924.878 | + | 924.878i | −1.17519 | + | 1.17519i | −0.194241 | + | 0.980954i | \(0.562224\pi\) |
−0.980954 | + | 0.194241i | \(0.937776\pi\) | |||||||
\(788\) | 144.596 | − | 349.982i | 0.183498 | − | 0.444140i | ||||
\(789\) | −21.2832 | + | 387.389i | −0.0269749 | + | 0.490987i | ||||
\(790\) | −118.749 | + | 177.895i | −0.150315 | + | 0.225183i | ||||
\(791\) | −2181.15 | −2.75746 | ||||||||
\(792\) | −54.0593 | + | 171.856i | −0.0682567 | + | 0.216990i | ||||
\(793\) | − | 91.7980i | − | 0.115760i | ||||||
\(794\) | 405.534 | − | 607.519i | 0.510748 | − | 0.765138i | ||||
\(795\) | −465.846 | − | 25.5937i | −0.585970 | − | 0.0321933i | ||||
\(796\) | 1.26765 | + | 3.05256i | 0.00159252 | + | 0.00383488i | ||||
\(797\) | 707.837 | + | 707.837i | 0.888127 | + | 0.888127i | 0.994343 | − | 0.106216i | \(-0.0338735\pi\) |
−0.106216 | + | 0.994343i | \(0.533873\pi\) | |||||||
\(798\) | −548.301 | + | 731.098i | −0.687094 | + | 0.916163i | ||||
\(799\) | 1100.87 | 1.37781 | ||||||||
\(800\) | −29.5305 | − | 19.6352i | −0.0369131 | − | 0.0245439i | ||||
\(801\) | −1488.58 | − | 164.061i | −1.85840 | − | 0.204820i | ||||
\(802\) | −168.188 | − | 843.542i | −0.209710 | − | 1.05180i | ||||
\(803\) | −88.8995 | − | 88.8995i | −0.110709 | − | 0.110709i | ||||
\(804\) | 483.046 | + | 231.363i | 0.600804 | + | 0.287765i | ||||
\(805\) | −584.826 | − | 584.826i | −0.726492 | − | 0.726492i | ||||
\(806\) | −140.984 | + | 211.204i | −0.174918 | + | 0.262040i | ||||
\(807\) | −409.092 | + | 366.482i | −0.506929 | + | 0.454128i | ||||
\(808\) | −275.943 | + | 1397.17i | −0.341514 | + | 1.72917i | ||||
\(809\) | 1107.83 | 1.36938 | 0.684689 | − | 0.728836i | \(-0.259938\pi\) | ||||
0.684689 | + | 0.728836i | \(0.259938\pi\) | |||||||
\(810\) | −598.470 | + | 571.854i | −0.738852 | + | 0.705993i | ||||
\(811\) | 217.697 | + | 217.697i | 0.268431 | + | 0.268431i | 0.828468 | − | 0.560037i | \(-0.189213\pi\) |
−0.560037 | + | 0.828468i | \(0.689213\pi\) | |||||||
\(812\) | −172.813 | + | 418.278i | −0.212824 | + | 0.515121i | ||||
\(813\) | −28.0970 | + | 511.411i | −0.0345597 | + | 0.629042i | ||||
\(814\) | 69.4458 | − | 13.8463i | 0.0853142 | − | 0.0170102i | ||||
\(815\) | − | 479.986i | − | 0.588940i | ||||||
\(816\) | −716.571 | + | 644.275i | −0.878150 | + | 0.789553i | ||||
\(817\) | −373.351 | −0.456978 | ||||||||
\(818\) | 81.1469 | + | 406.991i | 0.0992016 | + | 0.497544i | ||||
\(819\) | −233.431 | − | 291.258i | −0.285019 | − | 0.355627i | ||||
\(820\) | 35.6978 | − | 86.4031i | 0.0435339 | − | 0.105370i | ||||
\(821\) | −761.374 | + | 761.374i | −0.927374 | + | 0.927374i | −0.997536 | − | 0.0701619i | \(-0.977648\pi\) |
0.0701619 | + | 0.997536i | \(0.477648\pi\) | |||||||
\(822\) | 45.1063 | + | 315.700i | 0.0548739 | + | 0.384063i | ||||
\(823\) | − | 46.9015i | − | 0.0569884i | −0.999594 | − | 0.0284942i | \(-0.990929\pi\) | ||
0.999594 | − | 0.0284942i | \(-0.00907122\pi\) | |||||||
\(824\) | 117.547 | + | 175.405i | 0.142654 | + | 0.212870i | ||||
\(825\) | 6.19611 | − | 5.55074i | 0.00751044 | − | 0.00672817i | ||||
\(826\) | 1550.09 | + | 1034.72i | 1.87662 | + | 1.25269i | ||||
\(827\) | −116.383 | + | 116.383i | −0.140729 | + | 0.140729i | −0.773962 | − | 0.633232i | \(-0.781728\pi\) |
0.633232 | + | 0.773962i | \(0.281728\pi\) | |||||||
\(828\) | 455.568 | − | 132.894i | 0.550203 | − | 0.160499i | ||||
\(829\) | 821.995 | − | 821.995i | 0.991550 | − | 0.991550i | −0.00841482 | − | 0.999965i | \(-0.502679\pi\) |
0.999965 | + | 0.00841482i | \(0.00267855\pi\) | |||||||
\(830\) | 90.1120 | − | 17.9668i | 0.108569 | − | 0.0216467i | ||||
\(831\) | −360.408 | + | 322.868i | −0.433704 | + | 0.388530i | ||||
\(832\) | 83.2630 | + | 199.481i | 0.100076 | + | 0.239761i | ||||
\(833\) | − | 2043.23i | − | 2.45286i | ||||||
\(834\) | 821.306 | − | 1095.12i | 0.984780 | − | 1.31309i | ||||
\(835\) | 660.650 | − | 660.650i | 0.791198 | − | 0.791198i | ||||
\(836\) | 47.6131 | + | 114.655i | 0.0569535 | + | 0.137147i | ||||
\(837\) | 166.369 | − | 1001.26i | 0.198768 | − | 1.19625i | ||||
\(838\) | −255.752 | − | 170.721i | −0.305194 | − | 0.203724i | ||||
\(839\) | 1328.92 | 1.58393 | 0.791966 | − | 0.610565i | \(-0.209058\pi\) | ||||
0.791966 | + | 0.610565i | \(0.209058\pi\) | |||||||
\(840\) | −372.363 | + | 1459.04i | −0.443290 | + | 1.73695i | ||||
\(841\) | − | 756.098i | − | 0.899047i | ||||||
\(842\) | −1140.91 | − | 761.585i | −1.35500 | − | 0.904495i | ||||
\(843\) | −22.4588 | + | 408.786i | −0.0266415 | + | 0.484919i | ||||
\(844\) | −391.712 | + | 948.102i | −0.464114 | + | 1.12334i | ||||
\(845\) | −569.389 | − | 569.389i | −0.673833 | − | 0.673833i | ||||
\(846\) | 85.7972 | + | 983.324i | 0.101415 | + | 1.16232i | ||||
\(847\) | 1408.90 | 1.66340 | ||||||||
\(848\) | −0.881176 | − | 486.974i | −0.00103912 | − | 0.574262i | ||||
\(849\) | 419.203 | − | 375.540i | 0.493761 | − | 0.442332i | ||||
\(850\) | 43.6364 | − | 8.70034i | 0.0513369 | − | 0.0102357i | ||||
\(851\) | −131.896 | − | 131.896i | −0.154989 | − | 0.154989i | ||||
\(852\) | −259.664 | − | 737.062i | −0.304770 | − | 0.865096i | ||||
\(853\) | −74.3835 | − | 74.3835i | −0.0872022 | − | 0.0872022i | 0.662160 | − | 0.749362i | \(-0.269640\pi\) |
−0.749362 | + | 0.662160i | \(0.769640\pi\) | |||||||
\(854\) | 555.153 | + | 370.578i | 0.650062 | + | 0.433932i | ||||
\(855\) | −62.4887 | + | 566.981i | −0.0730862 | + | 0.663135i | ||||
\(856\) | 184.037 | − | 931.824i | 0.214997 | − | 1.08858i | ||||
\(857\) | 1113.91 | 1.29977 | 0.649887 | − | 0.760030i | \(-0.274816\pi\) | ||||
0.649887 | + | 0.760030i | \(0.274816\pi\) | |||||||
\(858\) | −50.1973 | + | 7.17206i | −0.0585050 | + | 0.00835905i | ||||
\(859\) | −78.5892 | − | 78.5892i | −0.0914891 | − | 0.0914891i | 0.659881 | − | 0.751370i | \(-0.270607\pi\) |
−0.751370 | + | 0.659881i | \(0.770607\pi\) | |||||||
\(860\) | −568.145 | + | 235.936i | −0.660634 | + | 0.274344i | ||||
\(861\) | −168.244 | − | 9.24334i | −0.195405 | − | 0.0107356i | ||||
\(862\) | 83.5203 | + | 418.895i | 0.0968913 | + | 0.485957i | ||||
\(863\) | 814.226i | 0.943483i | 0.881737 | + | 0.471741i | \(0.156374\pi\) | ||||
−0.881737 | + | 0.471741i | \(0.843626\pi\) | |||||||
\(864\) | −631.329 | − | 589.847i | −0.730705 | − | 0.682693i | ||||
\(865\) | −894.658 | −1.03429 | ||||||||
\(866\) | 864.326 | − | 172.332i | 0.998067 | − | 0.198997i | ||||
\(867\) | 18.7650 | − | 341.552i | 0.0216436 | − | 0.393947i | ||||
\(868\) | −708.131 | − | 1705.21i | −0.815819 | − | 1.96453i | ||||
\(869\) | 37.0316 | − | 37.0316i | 0.0426140 | − | 0.0426140i | ||||
\(870\) | 39.9552 | + | 279.647i | 0.0459255 | + | 0.321433i | ||||
\(871\) | 150.748i | 0.173075i | ||||||||
\(872\) | 5.03135 | − | 25.4749i | 0.00576990 | − | 0.0292144i | ||||
\(873\) | −1245.38 | − | 137.257i | −1.42655 | − | 0.157224i | ||||
\(874\) | 181.559 | − | 271.989i | 0.207734 | − | 0.311200i | ||||
\(875\) | −1059.96 | + | 1059.96i | −1.21139 | + | 1.21139i | ||||
\(876\) | 568.683 | − | 200.345i | 0.649182 | − | 0.228704i | ||||
\(877\) | −36.8840 | + | 36.8840i | −0.0420571 | + | 0.0420571i | −0.727823 | − | 0.685765i | \(-0.759468\pi\) |
0.685765 | + | 0.727823i | \(0.259468\pi\) | |||||||
\(878\) | −156.571 | − | 785.277i | −0.178327 | − | 0.894393i | ||||
\(879\) | −407.562 | − | 454.948i | −0.463665 | − | 0.517575i | ||||
\(880\) | 144.910 | + | 144.386i | 0.164670 | + | 0.164076i | ||||
\(881\) | 69.7752i | 0.0792000i | 0.999216 | + | 0.0396000i | \(0.0126084\pi\) | ||||
−0.999216 | + | 0.0396000i | \(0.987392\pi\) | |||||||
\(882\) | 1825.07 | − | 159.241i | 2.06924 | − | 0.180546i | ||||
\(883\) | 410.405 | − | 410.405i | 0.464785 | − | 0.464785i | −0.435435 | − | 0.900220i | \(-0.643406\pi\) |
0.900220 | + | 0.435435i | \(0.143406\pi\) | |||||||
\(884\) | −250.668 | − | 103.565i | −0.283562 | − | 0.117155i | ||||
\(885\) | 1161.54 | + | 63.8153i | 1.31248 | + | 0.0721077i | ||||
\(886\) | −508.905 | + | 762.376i | −0.574385 | + | 0.860470i | ||||
\(887\) | 1290.54 | 1.45495 | 0.727475 | − | 0.686135i | \(-0.240694\pi\) | ||||
0.727475 | + | 0.686135i | \(0.240694\pi\) | |||||||
\(888\) | −83.9789 | + | 329.056i | −0.0945708 | + | 0.370559i | ||||
\(889\) | 1868.48i | 2.10178i | ||||||||
\(890\) | −944.093 | + | 1414.32i | −1.06078 | + | 1.58912i | ||||
\(891\) | 171.086 | − | 108.664i | 0.192016 | − | 0.121957i | ||||
\(892\) | −65.5113 | + | 27.2051i | −0.0734432 | + | 0.0304990i | ||||
\(893\) | 480.966 | + | 480.966i | 0.538596 | + | 0.538596i | ||||
\(894\) | −793.631 | − | 595.199i | −0.887730 | − | 0.665770i | ||||
\(895\) | −1218.62 | −1.36159 | ||||||||
\(896\) | −1542.50 | − | 301.747i | −1.72154 | − | 0.336771i | ||||
\(897\) | 89.1236 | + | 99.4858i | 0.0993574 | + | 0.110909i | ||||
\(898\) | −270.587 | − | 1357.12i | −0.301322 | − | 1.51127i | ||||
\(899\) | −244.930 | − | 244.930i | −0.272447 | − | 0.272447i | ||||
\(900\) | 11.1722 | + | 38.2990i | 0.0124136 | + | 0.0425545i | ||||
\(901\) | 432.052 | + | 432.052i | 0.479525 | + | 0.479525i | ||||
\(902\) | −12.7086 | + | 19.0384i | −0.0140894 | + | 0.0211069i | ||||
\(903\) | 739.841 | + | 825.861i | 0.819315 | + | 0.914575i | ||||
\(904\) | −791.090 | − | 1180.48i | −0.875100 | − | 1.30584i | ||||
\(905\) | 1171.79 | 1.29480 | ||||||||
\(906\) | −65.1720 | + | 9.31160i | −0.0719338 | + | 0.0102777i | ||||
\(907\) | 395.420 | + | 395.420i | 0.435964 | + | 0.435964i | 0.890651 | − | 0.454687i | \(-0.150249\pi\) |
−0.454687 | + | 0.890651i | \(0.650249\pi\) | |||||||
\(908\) | 39.4084 | + | 16.2818i | 0.0434014 | + | 0.0179314i | ||||
\(909\) | 1250.20 | − | 1001.98i | 1.37536 | − | 1.10229i | ||||
\(910\) | −415.642 | + | 82.8718i | −0.456749 | + | 0.0910679i | ||||
\(911\) | 1451.84i | 1.59367i | 0.604195 | + | 0.796837i | \(0.293495\pi\) | ||||
−0.604195 | + | 0.796837i | \(0.706505\pi\) | |||||||
\(912\) | −594.550 | − | 31.5857i | −0.651919 | − | 0.0346335i | ||||
\(913\) | −22.4983 | −0.0246422 | ||||||||
\(914\) | 150.732 | + | 755.991i | 0.164914 | + | 0.827124i | ||||
\(915\) | 415.998 | + | 22.8550i | 0.454643 | + | 0.0249782i | ||||
\(916\) | 1169.80 | + | 483.307i | 1.27707 | + | 0.527628i | ||||
\(917\) | −806.686 | + | 806.686i | −0.879701 | + | 0.879701i | ||||
\(918\) | 1083.51 | − | 34.8434i | 1.18030 | − | 0.0379558i | ||||
\(919\) | 1626.08i | 1.76940i | 0.466161 | + | 0.884700i | \(0.345637\pi\) | ||||
−0.466161 | + | 0.884700i | \(0.654363\pi\) | |||||||
\(920\) | 104.406 | − | 528.632i | 0.113485 | − | 0.574600i | ||||
\(921\) | −252.873 | − | 282.275i | −0.274564 | − | 0.306487i | ||||
\(922\) | −734.133 | − | 490.052i | −0.796240 | − | 0.531510i | ||||
\(923\) | 155.528 | − | 155.528i | 0.168503 | − | 0.168503i | ||||
\(924\) | 159.267 | − | 332.523i | 0.172367 | − | 0.359874i | ||||
\(925\) | 11.0883 | − | 11.0883i | 0.0119874 | − | 0.0119874i | ||||
\(926\) | 1410.17 | − | 281.163i | 1.52286 | − | 0.303632i | ||||
\(927\) | 26.0228 | − | 236.114i | 0.0280721 | − | 0.254707i | ||||
\(928\) | −289.059 | + | 58.1773i | −0.311486 | + | 0.0626911i | ||||
\(929\) | 864.883i | 0.930983i | 0.885052 | + | 0.465491i | \(0.154122\pi\) | ||||
−0.885052 | + | 0.465491i | \(0.845878\pi\) | |||||||
\(930\) | −922.007 | − | 691.476i | −0.991405 | − | 0.743523i | ||||
\(931\) | 892.684 | − | 892.684i | 0.958844 | − | 0.958844i | ||||
\(932\) | −456.538 | + | 189.588i | −0.489848 | + | 0.203421i | ||||
\(933\) | 51.7592 | − | 942.100i | 0.0554761 | − | 1.00975i | ||||
\(934\) | −194.759 | − | 130.006i | −0.208521 | − | 0.139193i | ||||
\(935\) | −256.669 | −0.274512 | ||||||||
\(936\) | 72.9705 | − | 231.975i | 0.0779600 | − | 0.247836i | ||||
\(937\) | 177.635i | 0.189579i | 0.995497 | + | 0.0947893i | \(0.0302177\pi\) | ||||
−0.995497 | + | 0.0947893i | \(0.969782\pi\) | |||||||
\(938\) | −911.658 | − | 608.554i | −0.971917 | − | 0.648779i | ||||
\(939\) | 311.154 | + | 17.0949i | 0.331368 | + | 0.0182054i | ||||
\(940\) | 1035.85 | + | 427.966i | 1.10197 | + | 0.455283i | ||||
\(941\) | 49.5787 | + | 49.5787i | 0.0526872 | + | 0.0526872i | 0.732959 | − | 0.680272i | \(-0.238138\pi\) |
−0.680272 | + | 0.732959i | \(0.738138\pi\) | |||||||
\(942\) | 338.225 | + | 253.659i | 0.359050 | + | 0.269277i | ||||
\(943\) | 60.2958 | 0.0639404 | ||||||||
\(944\) | 2.19713 | + | 1214.22i | 0.00232747 | + | 1.28625i | ||||
\(945\) | 1378.00 | − | 985.315i | 1.45820 | − | 1.04266i | ||||
\(946\) | 147.721 | − | 29.4531i | 0.156154 | − | 0.0311344i | ||||
\(947\) | −801.785 | − | 801.785i | −0.846658 | − | 0.846658i | 0.143057 | − | 0.989714i | \(-0.454307\pi\) |
−0.989714 | + | 0.143057i | \(0.954307\pi\) | |||||||
\(948\) | 83.4547 | + | 236.888i | 0.0880324 | + | 0.249882i | ||||
\(949\) | 119.999 | + | 119.999i | 0.126447 | + | 0.126447i | ||||
\(950\) | 22.8658 | + | 15.2635i | 0.0240692 | + | 0.0160668i | ||||
\(951\) | 1014.72 | − | 909.032i | 1.06701 | − | 0.955869i | ||||
\(952\) | 1638.23 | − | 1097.85i | 1.72083 | − | 1.15320i | ||||
\(953\) | −633.331 | −0.664565 | −0.332283 | − | 0.943180i | \(-0.607819\pi\) | ||||
−0.332283 | + | 0.943180i | \(0.607819\pi\) | |||||||
\(954\) | −352.248 | + | 419.593i | −0.369233 | + | 0.439825i | ||||
\(955\) | 219.954 | + | 219.954i | 0.230318 | + | 0.230318i | ||||
\(956\) | 181.790 | + | 437.758i | 0.190156 | + | 0.457906i | ||||
\(957\) | 3.79434 | − | 69.0630i | 0.00396483 | − | 0.0721662i | ||||
\(958\) | 292.949 | + | 1469.28i | 0.305792 | + | 1.53369i | ||||
\(959\) | − | 652.649i | − | 0.680552i | ||||||
\(960\) | −924.713 | + | 327.655i | −0.963243 | + | 0.341307i | ||||
\(961\) | 452.174 | 0.470525 | ||||||||
\(962\) | −93.7395 | + | 18.6900i | −0.0974423 | + | 0.0194283i | ||||
\(963\) | −833.807 | + | 668.259i | −0.865843 | + | 0.693935i | ||||
\(964\) | −975.848 | + | 405.244i | −1.01229 | + | 0.420378i | ||||
\(965\) | −642.656 | + | 642.656i | −0.665965 | + | 0.665965i | ||||
\(966\) | −961.427 | + | 137.366i | −0.995266 | + | 0.142201i | ||||
\(967\) | 734.798i | 0.759873i | 0.925013 | + | 0.379937i | \(0.124054\pi\) | ||||
−0.925013 | + | 0.379937i | \(0.875946\pi\) | |||||||
\(968\) | 511.000 | + | 762.523i | 0.527893 | + | 0.787731i | ||||
\(969\) | 556.421 | − | 498.465i | 0.574222 | − | 0.514412i | ||||
\(970\) | −789.847 | + | 1183.25i | −0.814276 | + | 1.21984i | ||||
\(971\) | 1255.23 | − | 1255.23i | 1.29272 | − | 1.29272i | 0.359625 | − | 0.933097i | \(-0.382905\pi\) |
0.933097 | − | 0.359625i | \(-0.117095\pi\) | |||||||
\(972\) | 115.568 | + | 965.105i | 0.118897 | + | 0.992907i | ||||
\(973\) | −1980.93 | + | 1980.93i | −2.03589 | + | 2.03589i | ||||
\(974\) | 208.521 | + | 1045.83i | 0.214087 | + | 1.07375i | ||||
\(975\) | −8.36365 | + | 7.49251i | −0.00857811 | + | 0.00768463i | ||||
\(976\) | 0.786886 | + | 434.866i | 0.000806236 | + | 0.445559i | ||||
\(977\) | 75.9504i | 0.0777384i | 0.999244 | + | 0.0388692i | \(0.0123756\pi\) | ||||
−0.999244 | + | 0.0388692i | \(0.987624\pi\) | |||||||
\(978\) | −450.908 | − | 338.167i | −0.461051 | − | 0.345774i | ||||
\(979\) | 294.413 | − | 294.413i | 0.300728 | − | 0.300728i | ||||
\(980\) | 794.313 | − | 1922.56i | 0.810524 | − | 1.96180i | ||||
\(981\) | −22.7953 | + | 18.2694i | −0.0232368 | + | 0.0186232i | ||||
\(982\) | −10.5999 | + | 15.8794i | −0.0107942 | + | 0.0161705i | ||||
\(983\) | 211.646 | 0.215306 | 0.107653 | − | 0.994189i | \(-0.465666\pi\) | ||||
0.107653 | + | 0.994189i | \(0.465666\pi\) | |||||||
\(984\) | −56.0183 | − | 94.4092i | −0.0569292 | − | 0.0959443i | ||||
\(985\) | 483.723i | 0.491089i | ||||||||
\(986\) | 205.399 | − | 307.702i | 0.208315 | − | 0.312071i | ||||
\(987\) | 110.815 | − | 2017.00i | 0.112274 | − | 2.04357i | ||||
\(988\) | −64.2693 | − | 154.764i | −0.0650499 | − | 0.156643i | ||||
\(989\) | −280.561 | − | 280.561i | −0.283682 | − | 0.283682i | ||||
\(990\) | −20.0037 | − | 229.263i | −0.0202058 | − | 0.231579i | ||||
\(991\) | −728.452 | −0.735067 | −0.367534 | − | 0.930010i | \(-0.619798\pi\) | ||||
−0.367534 | + | 0.930010i | \(0.619798\pi\) | |||||||
\(992\) | 666.060 | − | 1001.73i | 0.671431 | − | 1.00980i | ||||
\(993\) | 991.810 | − | 888.505i | 0.998802 | − | 0.894768i | ||||
\(994\) | 312.715 | + | 1568.42i | 0.314603 | + | 1.57788i | ||||
\(995\) | −2.98556 | − | 2.98556i | −0.00300056 | − | 0.00300056i | ||||
\(996\) | 46.6087 | − | 97.3111i | 0.0467959 | − | 0.0977019i | ||||
\(997\) | −955.300 | − | 955.300i | −0.958175 | − | 0.958175i | 0.0409850 | − | 0.999160i | \(-0.486950\pi\) |
−0.999160 | + | 0.0409850i | \(0.986950\pi\) | |||||||
\(998\) | 873.646 | − | 1308.78i | 0.875396 | − | 1.31141i | ||||
\(999\) | 310.780 | − | 222.218i | 0.311091 | − | 0.222440i |
(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 | 48.3.i.b.5.10 | yes | 20 | |
3.2 | odd | 2 | inner | 48.3.i.b.5.1 | ✓ | 20 | |
4.3 | odd | 2 | 192.3.i.b.113.5 | 20 | |||
8.3 | odd | 2 | 384.3.i.c.353.6 | 20 | |||
8.5 | even | 2 | 384.3.i.d.353.5 | 20 | |||
12.11 | even | 2 | 192.3.i.b.113.10 | 20 | |||
16.3 | odd | 4 | 192.3.i.b.17.10 | 20 | |||
16.5 | even | 4 | 384.3.i.d.161.10 | 20 | |||
16.11 | odd | 4 | 384.3.i.c.161.1 | 20 | |||
16.13 | even | 4 | inner | 48.3.i.b.29.1 | yes | 20 | |
24.5 | odd | 2 | 384.3.i.d.353.10 | 20 | |||
24.11 | even | 2 | 384.3.i.c.353.1 | 20 | |||
48.5 | odd | 4 | 384.3.i.d.161.5 | 20 | |||
48.11 | even | 4 | 384.3.i.c.161.6 | 20 | |||
48.29 | odd | 4 | inner | 48.3.i.b.29.10 | yes | 20 | |
48.35 | even | 4 | 192.3.i.b.17.5 | 20 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
48.3.i.b.5.1 | ✓ | 20 | 3.2 | odd | 2 | inner | |
48.3.i.b.5.10 | yes | 20 | 1.1 | even | 1 | trivial | |
48.3.i.b.29.1 | yes | 20 | 16.13 | even | 4 | inner | |
48.3.i.b.29.10 | yes | 20 | 48.29 | odd | 4 | inner | |
192.3.i.b.17.5 | 20 | 48.35 | even | 4 | |||
192.3.i.b.17.10 | 20 | 16.3 | odd | 4 | |||
192.3.i.b.113.5 | 20 | 4.3 | odd | 2 | |||
192.3.i.b.113.10 | 20 | 12.11 | even | 2 | |||
384.3.i.c.161.1 | 20 | 16.11 | odd | 4 | |||
384.3.i.c.161.6 | 20 | 48.11 | even | 4 | |||
384.3.i.c.353.1 | 20 | 24.11 | even | 2 | |||
384.3.i.c.353.6 | 20 | 8.3 | odd | 2 | |||
384.3.i.d.161.5 | 20 | 48.5 | odd | 4 | |||
384.3.i.d.161.10 | 20 | 16.5 | even | 4 | |||
384.3.i.d.353.5 | 20 | 8.5 | even | 2 | |||
384.3.i.d.353.10 | 20 | 24.5 | odd | 2 |