Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [230,3,Mod(19,230)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(230, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 15]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("230.19");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 230 = 2 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 230.i (of order \(22\), degree \(10\), 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: | \(6.26704608029\) |
Analytic rank: | \(0\) |
Dimension: | \(240\) |
Relative dimension: | \(24\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 19.8 | ||
Character | \(\chi\) | \(=\) | 230.19 |
Dual form | 230.3.i.a.109.8 |
$q$-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 \(\left(\mathbb{Z}/230\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{15}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.28641 | + | 0.587486i | −0.643207 | + | 0.293743i | ||||
\(3\) | 0.540708 | + | 1.84148i | 0.180236 | + | 0.613828i | 0.999200 | + | 0.0399834i | \(0.0127305\pi\) |
−0.818964 | + | 0.573845i | \(0.805451\pi\) | |||||||
\(4\) | 1.30972 | − | 1.51150i | 0.327430 | − | 0.377875i | ||||
\(5\) | 4.67844 | + | 1.76413i | 0.935689 | + | 0.352826i | ||||
\(6\) | −1.77742 | − | 2.05125i | −0.296237 | − | 0.341875i | ||||
\(7\) | −0.0656966 | − | 0.456930i | −0.00938523 | − | 0.0652757i | 0.984591 | − | 0.174875i | \(-0.0559522\pi\) |
−0.993976 | + | 0.109600i | \(0.965043\pi\) | |||||||
\(8\) | −0.796860 | + | 2.71386i | −0.0996075 | + | 0.339232i | ||||
\(9\) | 4.47258 | − | 2.87436i | 0.496954 | − | 0.319373i | ||||
\(10\) | −7.05482 | + | 0.479116i | −0.705482 | + | 0.0479116i | ||||
\(11\) | 0.696679 | + | 0.318163i | 0.0633344 | + | 0.0289239i | 0.446830 | − | 0.894619i | \(-0.352553\pi\) |
−0.383496 | + | 0.923543i | \(0.625280\pi\) | |||||||
\(12\) | 3.49158 | + | 1.59455i | 0.290965 | + | 0.132879i | ||||
\(13\) | 20.8158 | + | 2.99285i | 1.60121 | + | 0.230220i | 0.884292 | − | 0.466935i | \(-0.154642\pi\) |
0.716921 | + | 0.697155i | \(0.245551\pi\) | |||||||
\(14\) | 0.352953 | + | 0.549205i | 0.0252109 | + | 0.0392289i | ||||
\(15\) | −0.718944 | + | 9.56916i | −0.0479296 | + | 0.637944i | ||||
\(16\) | −0.569259 | − | 3.95929i | −0.0355787 | − | 0.247455i | ||||
\(17\) | −2.37645 | − | 2.74257i | −0.139791 | − | 0.161328i | 0.681537 | − | 0.731784i | \(-0.261312\pi\) |
−0.821328 | + | 0.570456i | \(0.806766\pi\) | |||||||
\(18\) | −4.06495 | + | 6.32519i | −0.225831 | + | 0.351399i | ||||
\(19\) | −22.1306 | − | 19.1762i | −1.16477 | − | 1.00928i | −0.999736 | − | 0.0229870i | \(-0.992682\pi\) |
−0.165030 | − | 0.986288i | \(-0.552772\pi\) | |||||||
\(20\) | 8.79394 | − | 4.76095i | 0.439697 | − | 0.238047i | ||||
\(21\) | 0.805906 | − | 0.368045i | 0.0383765 | − | 0.0175260i | ||||
\(22\) | −1.08313 | −0.0492333 | ||||||||
\(23\) | −9.91399 | + | 20.7536i | −0.431043 | + | 0.902331i | ||||
\(24\) | −5.42839 | −0.226183 | ||||||||
\(25\) | 18.7757 | + | 16.5068i | 0.751027 | + | 0.660271i | ||||
\(26\) | −28.5359 | + | 8.37891i | −1.09754 | + | 0.322266i | ||||
\(27\) | 20.7655 | + | 17.9934i | 0.769094 | + | 0.666424i | ||||
\(28\) | −0.776693 | − | 0.499151i | −0.0277391 | − | 0.0178268i | ||||
\(29\) | 26.9700 | + | 31.1250i | 0.930000 | + | 1.07328i | 0.997143 | + | 0.0755340i | \(0.0240661\pi\) |
−0.0671431 | + | 0.997743i | \(0.521388\pi\) | |||||||
\(30\) | −4.69688 | − | 12.7323i | −0.156563 | − | 0.424409i | ||||
\(31\) | 35.8114 | + | 10.5152i | 1.15521 | + | 0.339199i | 0.802568 | − | 0.596560i | \(-0.203466\pi\) |
0.352639 | + | 0.935760i | \(0.385284\pi\) | |||||||
\(32\) | 3.05833 | + | 4.75885i | 0.0955727 | + | 0.148714i | ||||
\(33\) | −0.209191 | + | 1.45496i | −0.00633912 | + | 0.0440896i | ||||
\(34\) | 4.66832 | + | 2.13195i | 0.137304 | + | 0.0627045i | ||||
\(35\) | 0.498726 | − | 2.25362i | 0.0142493 | − | 0.0643891i | ||||
\(36\) | 1.51325 | − | 10.5249i | 0.0420348 | − | 0.292359i | ||||
\(37\) | −57.6318 | + | 37.0377i | −1.55762 | + | 1.00102i | −0.574400 | + | 0.818575i | \(0.694765\pi\) |
−0.983216 | + | 0.182444i | \(0.941599\pi\) | |||||||
\(38\) | 39.7348 | + | 11.6672i | 1.04565 | + | 0.307031i | ||||
\(39\) | 5.74396 | + | 39.9501i | 0.147281 | + | 1.02436i | ||||
\(40\) | −8.51566 | + | 11.2909i | −0.212892 | + | 0.282271i | ||||
\(41\) | −30.9951 | − | 19.9193i | −0.755978 | − | 0.485837i | 0.105005 | − | 0.994472i | \(-0.466514\pi\) |
−0.860983 | + | 0.508634i | \(0.830151\pi\) | |||||||
\(42\) | −0.820508 | + | 0.946917i | −0.0195359 | + | 0.0225456i | ||||
\(43\) | −31.1513 | + | 9.14684i | −0.724449 | + | 0.212717i | −0.623109 | − | 0.782135i | \(-0.714131\pi\) |
−0.101339 | + | 0.994852i | \(0.532313\pi\) | |||||||
\(44\) | 1.39336 | − | 0.636325i | 0.0316672 | − | 0.0144619i | ||||
\(45\) | 25.9955 | − | 5.55729i | 0.577677 | − | 0.123495i | ||||
\(46\) | 0.561045 | − | 32.5221i | 0.0121966 | − | 0.707002i | ||||
\(47\) | − | 60.7751i | − | 1.29309i | −0.762877 | − | 0.646543i | \(-0.776214\pi\) | ||
0.762877 | − | 0.646543i | \(-0.223786\pi\) | |||||||
\(48\) | 6.98316 | − | 3.18910i | 0.145482 | − | 0.0664396i | ||||
\(49\) | 46.8107 | − | 13.7449i | 0.955320 | − | 0.280507i | ||||
\(50\) | −33.8508 | − | 10.2041i | −0.677016 | − | 0.204082i | ||||
\(51\) | 3.76543 | − | 5.85913i | 0.0738321 | − | 0.114885i | ||||
\(52\) | 31.7865 | − | 27.5432i | 0.611280 | − | 0.529677i | ||||
\(53\) | 11.2608 | + | 78.3204i | 0.212467 | + | 1.47774i | 0.764880 | + | 0.644173i | \(0.222798\pi\) |
−0.552412 | + | 0.833571i | \(0.686293\pi\) | |||||||
\(54\) | −37.2840 | − | 10.9476i | −0.690444 | − | 0.202733i | ||||
\(55\) | 2.69809 | + | 2.71754i | 0.0490562 | + | 0.0494098i | ||||
\(56\) | 1.29239 | + | 0.185818i | 0.0230784 | + | 0.00331818i | ||||
\(57\) | 23.3466 | − | 51.1218i | 0.409589 | − | 0.896874i | ||||
\(58\) | −52.9801 | − | 24.1952i | −0.913450 | − | 0.417159i | ||||
\(59\) | −8.45263 | + | 58.7893i | −0.143265 | + | 0.996429i | 0.783662 | + | 0.621187i | \(0.213349\pi\) |
−0.926927 | + | 0.375242i | \(0.877560\pi\) | |||||||
\(60\) | 13.5222 | + | 13.6196i | 0.225369 | + | 0.226994i | ||||
\(61\) | 30.8479 | − | 105.058i | 0.505703 | − | 1.72227i | −0.170321 | − | 0.985389i | \(-0.554481\pi\) |
0.676025 | − | 0.736879i | \(-0.263701\pi\) | |||||||
\(62\) | −52.2458 | + | 7.51182i | −0.842675 | + | 0.121158i | ||||
\(63\) | −1.60721 | − | 1.85482i | −0.0255113 | − | 0.0294416i | ||||
\(64\) | −6.73003 | − | 4.32513i | −0.105157 | − | 0.0675801i | ||||
\(65\) | 92.1056 | + | 50.7236i | 1.41701 | + | 0.780363i | ||||
\(66\) | −0.585659 | − | 1.99457i | −0.00887363 | − | 0.0302208i | ||||
\(67\) | −45.4327 | − | 99.4838i | −0.678101 | − | 1.48483i | −0.864643 | − | 0.502387i | \(-0.832455\pi\) |
0.186542 | − | 0.982447i | \(-0.440272\pi\) | |||||||
\(68\) | −7.25789 | −0.106734 | ||||||||
\(69\) | −43.5780 | − | 7.03480i | −0.631566 | − | 0.101954i | ||||
\(70\) | 0.682400 | + | 3.19208i | 0.00974857 | + | 0.0456012i | ||||
\(71\) | −33.8025 | − | 74.0172i | −0.476092 | − | 1.04250i | −0.983520 | − | 0.180801i | \(-0.942131\pi\) |
0.507428 | − | 0.861694i | \(-0.330596\pi\) | |||||||
\(72\) | 4.23656 | + | 14.4284i | 0.0588411 | + | 0.200395i | ||||
\(73\) | −72.5846 | − | 62.8949i | −0.994310 | − | 0.861575i | −0.00393606 | − | 0.999992i | \(-0.501253\pi\) |
−0.990374 | + | 0.138418i | \(0.955798\pi\) | |||||||
\(74\) | 52.3792 | − | 81.5037i | 0.707827 | − | 1.10140i | ||||
\(75\) | −20.2448 | + | 43.5005i | −0.269931 | + | 0.580006i | ||||
\(76\) | −57.9697 | + | 8.33479i | −0.762760 | + | 0.109668i | ||||
\(77\) | 0.0996085 | − | 0.339236i | 0.00129362 | − | 0.00440566i | ||||
\(78\) | −30.8592 | − | 48.0179i | −0.395631 | − | 0.615614i | ||||
\(79\) | −21.5246 | − | 3.09477i | −0.272463 | − | 0.0391742i | 0.00472905 | − | 0.999989i | \(-0.498495\pi\) |
−0.277192 | + | 0.960815i | \(0.589404\pi\) | |||||||
\(80\) | 4.32145 | − | 19.5275i | 0.0540181 | − | 0.244094i | ||||
\(81\) | −2.02928 | + | 4.44349i | −0.0250528 | + | 0.0548580i | ||||
\(82\) | 51.5748 | + | 7.41534i | 0.628961 | + | 0.0904310i | ||||
\(83\) | 75.4015 | − | 48.4576i | 0.908452 | − | 0.583827i | −0.000833557 | − | 1.00000i | \(-0.500265\pi\) |
0.909285 | + | 0.416173i | \(0.136629\pi\) | |||||||
\(84\) | 0.499213 | − | 1.70016i | 0.00594301 | − | 0.0202400i | ||||
\(85\) | −6.27984 | − | 17.0233i | −0.0738805 | − | 0.200275i | ||||
\(86\) | 34.6998 | − | 30.0676i | 0.403486 | − | 0.349623i | ||||
\(87\) | −42.7334 | + | 66.4944i | −0.491188 | + | 0.764304i | ||||
\(88\) | −1.41860 | + | 1.63715i | −0.0161205 | + | 0.0186040i | ||||
\(89\) | 5.79451 | + | 19.7343i | 0.0651069 | + | 0.221734i | 0.985620 | − | 0.168979i | \(-0.0540469\pi\) |
−0.920513 | + | 0.390712i | \(0.872229\pi\) | |||||||
\(90\) | −30.1761 | + | 22.4209i | −0.335290 | + | 0.249122i | ||||
\(91\) | − | 9.70796i | − | 0.106681i | ||||||
\(92\) | 18.3845 | + | 42.1665i | 0.199832 | + | 0.458331i | ||||
\(93\) | 71.6318i | 0.770235i | ||||||||
\(94\) | 35.7045 | + | 78.1819i | 0.379835 | + | 0.831722i | ||||
\(95\) | −69.7072 | − | 128.756i | −0.733760 | − | 1.35533i | ||||
\(96\) | −7.10968 | + | 8.20501i | −0.0740592 | + | 0.0854688i | ||||
\(97\) | −58.1078 | − | 37.3436i | −0.599050 | − | 0.384986i | 0.205687 | − | 0.978618i | \(-0.434057\pi\) |
−0.804737 | + | 0.593632i | \(0.797694\pi\) | |||||||
\(98\) | −52.1430 | + | 45.1822i | −0.532072 | + | 0.461043i | ||||
\(99\) | 4.03047 | − | 0.579494i | 0.0407118 | − | 0.00585347i | ||||
\(100\) | 49.5409 | − | 6.76016i | 0.495409 | − | 0.0676016i | ||||
\(101\) | 76.4614 | − | 49.1388i | 0.757044 | − | 0.486523i | −0.104299 | − | 0.994546i | \(-0.533260\pi\) |
0.861343 | + | 0.508023i | \(0.169624\pi\) | |||||||
\(102\) | −1.40175 | + | 9.74941i | −0.0137427 | + | 0.0955824i | ||||
\(103\) | −14.8802 | + | 32.5831i | −0.144468 | + | 0.316341i | −0.968009 | − | 0.250916i | \(-0.919268\pi\) |
0.823541 | + | 0.567257i | \(0.191995\pi\) | |||||||
\(104\) | −24.7094 | + | 54.1061i | −0.237591 | + | 0.520251i | ||||
\(105\) | 4.41967 | − | 0.300155i | 0.0420921 | − | 0.00285861i | ||||
\(106\) | −60.4981 | − | 94.1369i | −0.570737 | − | 0.888084i | ||||
\(107\) | 82.3846 | + | 24.1903i | 0.769949 | + | 0.226078i | 0.643036 | − | 0.765836i | \(-0.277675\pi\) |
0.126914 | + | 0.991914i | \(0.459493\pi\) | |||||||
\(108\) | 54.3941 | − | 7.82069i | 0.503649 | − | 0.0724138i | ||||
\(109\) | −51.8418 | + | 44.9212i | −0.475613 | + | 0.412121i | −0.859403 | − | 0.511299i | \(-0.829164\pi\) |
0.383789 | + | 0.923421i | \(0.374619\pi\) | |||||||
\(110\) | −5.06738 | − | 1.91079i | −0.0460671 | − | 0.0173708i | ||||
\(111\) | −99.3663 | − | 86.1014i | −0.895192 | − | 0.775689i | ||||
\(112\) | −1.77172 | + | 0.520223i | −0.0158189 | + | 0.00464485i | ||||
\(113\) | 5.72813 | + | 12.5428i | 0.0506914 | + | 0.110999i | 0.933283 | − | 0.359142i | \(-0.116931\pi\) |
−0.882592 | + | 0.470140i | \(0.844203\pi\) | |||||||
\(114\) | 79.4796i | 0.697189i | ||||||||
\(115\) | −82.9942 | + | 79.6051i | −0.721688 | + | 0.692218i | ||||
\(116\) | 82.3687 | 0.710075 | ||||||||
\(117\) | 101.703 | − | 46.4461i | 0.869254 | − | 0.396975i | ||||
\(118\) | −23.6643 | − | 80.5932i | −0.200545 | − | 0.682993i | ||||
\(119\) | −1.09704 | + | 1.26605i | −0.00921881 | + | 0.0106391i | ||||
\(120\) | −25.3964 | − | 9.57639i | −0.211637 | − | 0.0798033i | ||||
\(121\) | −78.8540 | − | 91.0024i | −0.651686 | − | 0.752086i | ||||
\(122\) | 22.0371 | + | 153.271i | 0.180632 | + | 1.25632i | ||||
\(123\) | 19.9218 | − | 67.8475i | 0.161966 | − | 0.551606i | ||||
\(124\) | 62.7967 | − | 40.3570i | 0.506425 | − | 0.325459i | ||||
\(125\) | 58.7209 | + | 110.349i | 0.469767 | + | 0.882790i | ||||
\(126\) | 3.15722 | + | 1.44185i | 0.0250573 | + | 0.0114433i | ||||
\(127\) | −118.371 | − | 54.0580i | −0.932052 | − | 0.425654i | −0.109271 | − | 0.994012i | \(-0.534852\pi\) |
−0.822781 | + | 0.568358i | \(0.807579\pi\) | |||||||
\(128\) | 11.1986 | + | 1.61011i | 0.0874887 | + | 0.0125790i | ||||
\(129\) | −33.6875 | − | 52.4188i | −0.261144 | − | 0.406347i | ||||
\(130\) | −148.285 | − | 11.1409i | −1.14066 | − | 0.0856990i | ||||
\(131\) | 17.6798 | + | 122.966i | 0.134960 | + | 0.938670i | 0.938957 | + | 0.344035i | \(0.111794\pi\) |
−0.803996 | + | 0.594634i | \(0.797297\pi\) | |||||||
\(132\) | 1.92518 | + | 2.22178i | 0.0145847 | + | 0.0168317i | ||||
\(133\) | −7.30829 | + | 11.3719i | −0.0549496 | + | 0.0855032i | ||||
\(134\) | 116.891 | + | 101.286i | 0.872318 | + | 0.755868i | ||||
\(135\) | 65.4076 | + | 120.814i | 0.484501 | + | 0.894922i | ||||
\(136\) | 9.33665 | − | 4.26390i | 0.0686518 | − | 0.0313522i | ||||
\(137\) | 62.0133 | 0.452652 | 0.226326 | − | 0.974052i | \(-0.427329\pi\) | ||||
0.226326 | + | 0.974052i | \(0.427329\pi\) | |||||||
\(138\) | 60.1922 | − | 16.5518i | 0.436176 | − | 0.119941i | ||||
\(139\) | −122.591 | −0.881951 | −0.440976 | − | 0.897519i | \(-0.645367\pi\) | ||||
−0.440976 | + | 0.897519i | \(0.645367\pi\) | |||||||
\(140\) | −2.75315 | − | 3.70544i | −0.0196654 | − | 0.0264674i | ||||
\(141\) | 111.916 | − | 32.8616i | 0.793733 | − | 0.233061i | ||||
\(142\) | 86.9680 | + | 75.3582i | 0.612451 | + | 0.530692i | ||||
\(143\) | 13.5497 | + | 8.70785i | 0.0947530 | + | 0.0608941i | ||||
\(144\) | −13.9265 | − | 16.0720i | −0.0967115 | − | 0.111611i | ||||
\(145\) | 71.2690 | + | 193.195i | 0.491511 | + | 1.33238i | ||||
\(146\) | 130.324 | + | 38.2665i | 0.892628 | + | 0.262099i | ||||
\(147\) | 50.6219 | + | 78.7692i | 0.344366 | + | 0.535845i | ||||
\(148\) | −19.4991 | + | 135.619i | −0.131751 | + | 0.916348i | ||||
\(149\) | 15.6913 | + | 7.16596i | 0.105311 | + | 0.0480937i | 0.467374 | − | 0.884060i | \(-0.345200\pi\) |
−0.362063 | + | 0.932154i | \(0.617928\pi\) | |||||||
\(150\) | 0.487274 | − | 67.8531i | 0.00324849 | − | 0.452354i | ||||
\(151\) | 6.34046 | − | 44.0989i | 0.0419898 | − | 0.292045i | −0.957996 | − | 0.286780i | \(-0.907415\pi\) |
0.999986 | − | 0.00526499i | \(-0.00167591\pi\) | |||||||
\(152\) | 69.6765 | − | 44.7784i | 0.458398 | − | 0.294594i | ||||
\(153\) | −18.5120 | − | 5.43562i | −0.120994 | − | 0.0355269i | ||||
\(154\) | 0.0711582 | + | 0.494916i | 0.000462066 | + | 0.00321374i | ||||
\(155\) | 148.992 | + | 112.371i | 0.961236 | + | 0.724972i | ||||
\(156\) | 67.9076 | + | 43.6416i | 0.435305 | + | 0.279754i | ||||
\(157\) | 30.0764 | − | 34.7100i | 0.191570 | − | 0.221083i | −0.651837 | − | 0.758359i | \(-0.726001\pi\) |
0.843406 | + | 0.537276i | \(0.180547\pi\) | |||||||
\(158\) | 29.5076 | − | 8.66422i | 0.186757 | − | 0.0548369i | ||||
\(159\) | −138.137 | + | 63.0851i | −0.868786 | + | 0.396761i | ||||
\(160\) | 5.91298 | + | 27.6593i | 0.0369561 | + | 0.172871i | ||||
\(161\) | 10.1343 | + | 3.16656i | 0.0629458 | + | 0.0196681i | ||||
\(162\) | − | 6.90834i | − | 0.0426441i | ||||||
\(163\) | 31.0540 | − | 14.1819i | 0.190516 | − | 0.0870055i | −0.317873 | − | 0.948133i | \(-0.602969\pi\) |
0.508389 | + | 0.861128i | \(0.330241\pi\) | |||||||
\(164\) | −70.7030 | + | 20.7603i | −0.431116 | + | 0.126587i | ||||
\(165\) | −3.54542 | + | 6.43789i | −0.0214874 | + | 0.0390175i | ||||
\(166\) | −68.5294 | + | 106.634i | −0.412828 | + | 0.642372i | ||||
\(167\) | 78.1416 | − | 67.7101i | 0.467914 | − | 0.405450i | −0.388735 | − | 0.921350i | \(-0.627088\pi\) |
0.856649 | + | 0.515900i | \(0.172542\pi\) | |||||||
\(168\) | 0.356627 | + | 2.48039i | 0.00212278 | + | 0.0147643i | ||||
\(169\) | 262.184 | + | 76.9843i | 1.55139 | + | 0.455528i | ||||
\(170\) | 18.0794 | + | 18.2097i | 0.106350 | + | 0.107116i | ||||
\(171\) | −154.100 | − | 22.1562i | −0.901170 | − | 0.129569i | ||||
\(172\) | −26.9741 | + | 59.0650i | −0.156826 | + | 0.343401i | ||||
\(173\) | 21.9489 | + | 10.0237i | 0.126872 | + | 0.0579407i | 0.477840 | − | 0.878447i | \(-0.341420\pi\) |
−0.350967 | + | 0.936388i | \(0.614147\pi\) | |||||||
\(174\) | 15.9083 | − | 110.645i | 0.0914269 | − | 0.635888i | ||||
\(175\) | 6.30894 | − | 9.66361i | 0.0360511 | − | 0.0552206i | ||||
\(176\) | 0.863105 | − | 2.93947i | 0.00490401 | − | 0.0167015i | ||||
\(177\) | −112.830 | + | 16.2225i | −0.637458 | + | 0.0916526i | ||||
\(178\) | −19.0478 | − | 21.9823i | −0.107010 | − | 0.123496i | ||||
\(179\) | −26.2910 | − | 16.8962i | −0.146877 | − | 0.0943921i | 0.465138 | − | 0.885238i | \(-0.346005\pi\) |
−0.612015 | + | 0.790846i | \(0.709641\pi\) | |||||||
\(180\) | 25.6470 | − | 46.5706i | 0.142483 | − | 0.258726i | ||||
\(181\) | −55.3009 | − | 188.338i | −0.305530 | − | 1.04054i | −0.958957 | − | 0.283550i | \(-0.908488\pi\) |
0.653428 | − | 0.756989i | \(-0.273330\pi\) | |||||||
\(182\) | 5.70329 | + | 12.4885i | 0.0313367 | + | 0.0686179i | ||||
\(183\) | 210.143 | 1.14832 | ||||||||
\(184\) | −48.4223 | − | 43.4429i | −0.263165 | − | 0.236103i | ||||
\(185\) | −334.967 | + | 71.6088i | −1.81063 | + | 0.387075i | ||||
\(186\) | −42.0827 | − | 92.1482i | −0.226251 | − | 0.495420i | ||||
\(187\) | −0.783040 | − | 2.66679i | −0.00418738 | − | 0.0142609i | ||||
\(188\) | −91.8615 | − | 79.5984i | −0.488625 | − | 0.423396i | ||||
\(189\) | 6.85751 | − | 10.6705i | 0.0362831 | − | 0.0564577i | ||||
\(190\) | 165.315 | + | 124.682i | 0.870077 | + | 0.656220i | ||||
\(191\) | −324.639 | + | 46.6761i | −1.69968 | + | 0.244377i | −0.922803 | − | 0.385272i | \(-0.874108\pi\) |
−0.776879 | + | 0.629650i | \(0.783198\pi\) | |||||||
\(192\) | 4.32567 | − | 14.7319i | 0.0225295 | − | 0.0767285i | ||||
\(193\) | 29.5495 | + | 45.9799i | 0.153106 | + | 0.238238i | 0.909330 | − | 0.416075i | \(-0.136595\pi\) |
−0.756224 | + | 0.654312i | \(0.772958\pi\) | |||||||
\(194\) | 96.6896 | + | 13.9019i | 0.498400 | + | 0.0716591i | ||||
\(195\) | −43.6045 | + | 197.038i | −0.223613 | + | 1.01045i | ||||
\(196\) | 40.5336 | − | 88.7562i | 0.206804 | − | 0.452838i | ||||
\(197\) | −15.5265 | − | 2.23237i | −0.0788146 | − | 0.0113318i | 0.102795 | − | 0.994703i | \(-0.467222\pi\) |
−0.181609 | + | 0.983371i | \(0.558131\pi\) | |||||||
\(198\) | −4.84440 | + | 3.11331i | −0.0244667 | + | 0.0157238i | ||||
\(199\) | −19.7322 | + | 67.2017i | −0.0991567 | + | 0.337697i | −0.994098 | − | 0.108488i | \(-0.965399\pi\) |
0.894941 | + | 0.446184i | \(0.147217\pi\) | |||||||
\(200\) | −59.7586 | + | 37.8009i | −0.298793 | + | 0.189005i | ||||
\(201\) | 158.632 | − | 137.455i | 0.789214 | − | 0.683858i | ||||
\(202\) | −69.4927 | + | 108.133i | −0.344023 | + | 0.535311i | ||||
\(203\) | 12.4501 | − | 14.3682i | 0.0613307 | − | 0.0707794i | ||||
\(204\) | −3.92440 | − | 13.3653i | −0.0192373 | − | 0.0655161i | ||||
\(205\) | −109.868 | − | 147.871i | −0.535944 | − | 0.721321i | ||||
\(206\) | − | 50.6572i | − | 0.245909i | ||||||
\(207\) | 15.3121 | + | 121.319i | 0.0739716 | + | 0.586080i | ||||
\(208\) | − | 84.1192i | − | 0.404419i | ||||||
\(209\) | −9.31673 | − | 20.4008i | −0.0445776 | − | 0.0976114i | ||||
\(210\) | −5.50919 | + | 2.98261i | −0.0262342 | + | 0.0142029i | ||||
\(211\) | −137.834 | + | 159.069i | −0.653244 | + | 0.753884i | −0.981658 | − | 0.190650i | \(-0.938940\pi\) |
0.328414 | + | 0.944534i | \(0.393486\pi\) | |||||||
\(212\) | 133.130 | + | 85.5573i | 0.627970 | + | 0.403572i | ||||
\(213\) | 118.024 | − | 102.268i | 0.554104 | − | 0.480134i | ||||
\(214\) | −120.192 | + | 17.2810i | −0.561645 | + | 0.0807524i | ||||
\(215\) | −161.876 | − | 12.1619i | −0.752911 | − | 0.0565672i | ||||
\(216\) | −65.3788 | + | 42.0164i | −0.302680 | + | 0.194520i | ||||
\(217\) | 2.45201 | − | 17.0541i | 0.0112996 | − | 0.0785904i | ||||
\(218\) | 40.2995 | − | 88.2436i | 0.184860 | − | 0.404787i | ||||
\(219\) | 76.5729 | − | 167.671i | 0.349648 | − | 0.765622i | ||||
\(220\) | 7.64131 | − | 0.518947i | 0.0347332 | − | 0.00235885i | ||||
\(221\) | −41.2595 | − | 64.2011i | −0.186695 | − | 0.290503i | ||||
\(222\) | 178.410 | + | 52.3858i | 0.803647 | + | 0.235972i | ||||
\(223\) | −248.569 | + | 35.7388i | −1.11466 | + | 0.160264i | −0.674940 | − | 0.737873i | \(-0.735831\pi\) |
−0.439717 | + | 0.898136i | \(0.644921\pi\) | |||||||
\(224\) | 1.97354 | − | 1.71008i | 0.00881044 | − | 0.00763429i | ||||
\(225\) | 131.422 | + | 19.8599i | 0.584099 | + | 0.0882664i | ||||
\(226\) | −14.7375 | − | 12.7701i | −0.0652101 | − | 0.0565049i | ||||
\(227\) | −291.589 | + | 85.6184i | −1.28453 | + | 0.377173i | −0.851572 | − | 0.524238i | \(-0.824350\pi\) |
−0.432963 | + | 0.901412i | \(0.642532\pi\) | |||||||
\(228\) | −46.6931 | − | 102.244i | −0.204794 | − | 0.448437i | ||||
\(229\) | − | 272.566i | − | 1.19024i | −0.803636 | − | 0.595122i | \(-0.797104\pi\) | ||
0.803636 | − | 0.595122i | \(-0.202896\pi\) | |||||||
\(230\) | 59.9980 | − | 151.163i | 0.260861 | − | 0.657230i | ||||
\(231\) | 0.678556 | 0.00293747 | ||||||||
\(232\) | −105.960 | + | 48.3904i | −0.456725 | + | 0.208579i | ||||
\(233\) | −87.4406 | − | 297.795i | −0.375281 | − | 1.27809i | −0.903355 | − | 0.428893i | \(-0.858904\pi\) |
0.528074 | − | 0.849198i | \(-0.322914\pi\) | |||||||
\(234\) | −103.545 | + | 119.498i | −0.442502 | + | 0.510674i | ||||
\(235\) | 107.215 | − | 284.333i | 0.456235 | − | 1.20993i | ||||
\(236\) | 77.7894 | + | 89.7738i | 0.329616 | + | 0.380397i | ||||
\(237\) | −5.93956 | − | 41.3105i | −0.0250614 | − | 0.174306i | ||||
\(238\) | 0.667460 | − | 2.27316i | 0.00280445 | − | 0.00955109i | ||||
\(239\) | 241.648 | − | 155.298i | 1.01108 | − | 0.649781i | 0.0734063 | − | 0.997302i | \(-0.476613\pi\) |
0.937672 | + | 0.347522i | \(0.112977\pi\) | |||||||
\(240\) | 38.2963 | − | 2.60083i | 0.159568 | − | 0.0108368i | ||||
\(241\) | 377.474 | + | 172.387i | 1.56628 | + | 0.715297i | 0.994463 | − | 0.105083i | \(-0.0335107\pi\) |
0.571819 | + | 0.820380i | \(0.306238\pi\) | |||||||
\(242\) | 154.901 | + | 70.7411i | 0.640089 | + | 0.292319i | ||||
\(243\) | 235.494 | + | 33.8589i | 0.969110 | + | 0.139337i | ||||
\(244\) | −118.393 | − | 184.224i | −0.485219 | − | 0.755015i | ||||
\(245\) | 243.249 | + | 18.2756i | 0.992853 | + | 0.0745943i | ||||
\(246\) | 14.2317 | + | 98.9838i | 0.0578525 | + | 0.402373i | ||||
\(247\) | −403.273 | − | 465.401i | −1.63268 | − | 1.88422i | ||||
\(248\) | −57.0734 | + | 88.8079i | −0.230135 | + | 0.358096i | ||||
\(249\) | 130.004 | + | 112.649i | 0.522105 | + | 0.452407i | ||||
\(250\) | −140.368 | − | 107.457i | −0.561471 | − | 0.429826i | ||||
\(251\) | −195.951 | + | 89.4876i | −0.780680 | + | 0.356524i | −0.765563 | − | 0.643361i | \(-0.777539\pi\) |
−0.0151170 | + | 0.999886i | \(0.504812\pi\) | |||||||
\(252\) | −4.90856 | −0.0194784 | ||||||||
\(253\) | −13.5099 | + | 11.3043i | −0.0533988 | + | 0.0446812i | ||||
\(254\) | 184.032 | 0.724535 | ||||||||
\(255\) | 27.9526 | − | 20.7689i | 0.109618 | − | 0.0814467i | ||||
\(256\) | −15.3519 | + | 4.50772i | −0.0599683 | + | 0.0176083i | ||||
\(257\) | −167.110 | − | 144.801i | −0.650232 | − | 0.563429i | 0.266052 | − | 0.963959i | \(-0.414281\pi\) |
−0.916284 | + | 0.400529i | \(0.868826\pi\) | |||||||
\(258\) | 74.1314 | + | 47.6414i | 0.287331 | + | 0.184656i | ||||
\(259\) | 20.7098 | + | 23.9004i | 0.0799608 | + | 0.0922797i | ||||
\(260\) | 197.301 | − | 72.7837i | 0.758851 | − | 0.279937i | ||||
\(261\) | 210.090 | + | 61.6880i | 0.804943 | + | 0.236352i | ||||
\(262\) | −94.9841 | − | 147.798i | −0.362535 | − | 0.564115i | ||||
\(263\) | −17.5239 | + | 121.882i | −0.0666309 | + | 0.463428i | 0.929002 | + | 0.370074i | \(0.120668\pi\) |
−0.995633 | + | 0.0933537i | \(0.970241\pi\) | |||||||
\(264\) | −3.78184 | − | 1.72711i | −0.0143252 | − | 0.00654209i | ||||
\(265\) | −85.4845 | + | 386.283i | −0.322583 | + | 1.45767i | ||||
\(266\) | 2.72065 | − | 18.9225i | 0.0102280 | − | 0.0711373i | ||||
\(267\) | −33.2073 | + | 21.3410i | −0.124372 | + | 0.0799289i | ||||
\(268\) | −209.874 | − | 61.6246i | −0.783112 | − | 0.229942i | ||||
\(269\) | 30.0575 | + | 209.055i | 0.111738 | + | 0.777155i | 0.966228 | + | 0.257688i | \(0.0829606\pi\) |
−0.854490 | + | 0.519468i | \(0.826130\pi\) | |||||||
\(270\) | −155.118 | − | 116.991i | −0.574511 | − | 0.433301i | ||||
\(271\) | 315.226 | + | 202.583i | 1.16319 | + | 0.747539i | 0.972223 | − | 0.234056i | \(-0.0752001\pi\) |
0.190971 | + | 0.981596i | \(0.438836\pi\) | |||||||
\(272\) | −9.50581 | + | 10.9703i | −0.0349478 | + | 0.0403319i | ||||
\(273\) | 17.8771 | − | 5.24918i | 0.0654837 | − | 0.0192278i | ||||
\(274\) | −79.7748 | + | 36.4319i | −0.291149 | + | 0.132963i | ||||
\(275\) | 7.82878 | + | 17.4736i | 0.0284683 | + | 0.0635405i | ||||
\(276\) | −67.7082 | + | 56.6545i | −0.245320 | + | 0.205270i | ||||
\(277\) | − | 86.5209i | − | 0.312350i | −0.987729 | − | 0.156175i | \(-0.950084\pi\) | ||
0.987729 | − | 0.156175i | \(-0.0499164\pi\) | |||||||
\(278\) | 157.703 | − | 72.0206i | 0.567277 | − | 0.259067i | ||||
\(279\) | 190.394 | − | 55.9047i | 0.682416 | − | 0.200375i | ||||
\(280\) | 5.71858 | + | 3.14929i | 0.0204235 | + | 0.0112475i | ||||
\(281\) | −41.6675 | + | 64.8358i | −0.148283 | + | 0.230732i | −0.907447 | − | 0.420167i | \(-0.861972\pi\) |
0.759164 | + | 0.650899i | \(0.225608\pi\) | |||||||
\(282\) | −124.665 | + | 108.023i | −0.442075 | + | 0.383060i | ||||
\(283\) | 5.53823 | + | 38.5192i | 0.0195697 | + | 0.136110i | 0.997264 | − | 0.0739229i | \(-0.0235519\pi\) |
−0.977694 | + | 0.210033i | \(0.932643\pi\) | |||||||
\(284\) | −156.149 | − | 45.8494i | −0.549819 | − | 0.161442i | ||||
\(285\) | 199.411 | − | 197.984i | 0.699688 | − | 0.694681i | ||||
\(286\) | −22.5462 | − | 3.24166i | −0.0788330 | − | 0.0113345i | ||||
\(287\) | −7.06547 | + | 15.4712i | −0.0246184 | + | 0.0539067i | ||||
\(288\) | 27.3572 | + | 12.4936i | 0.0949904 | + | 0.0433807i | ||||
\(289\) | 39.2548 | − | 273.023i | 0.135830 | − | 0.944717i | ||||
\(290\) | −205.181 | − | 206.660i | −0.707521 | − | 0.712620i | ||||
\(291\) | 37.3483 | − | 127.197i | 0.128345 | − | 0.437102i | ||||
\(292\) | −190.131 | + | 27.3368i | −0.651135 | + | 0.0936190i | ||||
\(293\) | −235.585 | − | 271.880i | −0.804045 | − | 0.927918i | 0.194550 | − | 0.980893i | \(-0.437675\pi\) |
−0.998596 | + | 0.0529747i | \(0.983130\pi\) | |||||||
\(294\) | −111.396 | − | 71.5901i | −0.378899 | − | 0.243504i | ||||
\(295\) | −143.257 | + | 260.131i | −0.485618 | + | 0.881800i | ||||
\(296\) | −54.5905 | − | 185.918i | −0.184427 | − | 0.628102i | ||||
\(297\) | 8.74207 | + | 19.1425i | 0.0294346 | + | 0.0644527i | ||||
\(298\) | −24.3954 | −0.0818636 | ||||||||
\(299\) | −268.480 | + | 402.331i | −0.897926 | + | 1.34559i | ||||
\(300\) | 39.2359 | + | 87.5735i | 0.130786 | + | 0.291912i | ||||
\(301\) | 6.22600 | + | 13.6330i | 0.0206844 | + | 0.0452925i | ||||
\(302\) | 17.7510 | + | 60.4543i | 0.0587781 | + | 0.200180i | ||||
\(303\) | 131.832 | + | 114.233i | 0.435088 | + | 0.377006i | ||||
\(304\) | −63.3262 | + | 98.5374i | −0.208310 | + | 0.324136i | ||||
\(305\) | 329.657 | − | 437.090i | 1.08084 | − | 1.43308i | ||||
\(306\) | 27.0075 | − | 3.88309i | 0.0882596 | − | 0.0126898i | ||||
\(307\) | 94.6021 | − | 322.185i | 0.308150 | − | 1.04946i | −0.649220 | − | 0.760600i | \(-0.724905\pi\) |
0.957371 | − | 0.288863i | \(-0.0932771\pi\) | |||||||
\(308\) | −0.382295 | − | 0.594862i | −0.00124122 | − | 0.00193137i | ||||
\(309\) | −68.0471 | − | 9.78369i | −0.220217 | − | 0.0316624i | ||||
\(310\) | −257.681 | − | 57.0248i | −0.831229 | − | 0.183951i | ||||
\(311\) | −218.247 | + | 477.895i | −0.701760 | + | 1.53664i | 0.136065 | + | 0.990700i | \(0.456554\pi\) |
−0.837825 | + | 0.545940i | \(0.816173\pi\) | |||||||
\(312\) | −112.996 | − | 16.2464i | −0.362167 | − | 0.0520717i | ||||
\(313\) | −162.422 | + | 104.383i | −0.518921 | + | 0.333491i | −0.773745 | − | 0.633497i | \(-0.781619\pi\) |
0.254824 | + | 0.966988i | \(0.417983\pi\) | |||||||
\(314\) | −18.2991 | + | 62.3209i | −0.0582773 | + | 0.198474i | ||||
\(315\) | −4.24711 | − | 11.5130i | −0.0134829 | − | 0.0365493i | ||||
\(316\) | −32.8689 | + | 28.4811i | −0.104016 | + | 0.0901300i | ||||
\(317\) | 61.7589 | − | 96.0987i | 0.194823 | − | 0.303150i | −0.730074 | − | 0.683368i | \(-0.760515\pi\) |
0.924897 | + | 0.380218i | \(0.124151\pi\) | |||||||
\(318\) | 140.640 | − | 162.307i | 0.442264 | − | 0.510399i | ||||
\(319\) | 8.88661 | + | 30.2650i | 0.0278577 | + | 0.0948746i | ||||
\(320\) | −23.8560 | − | 32.1075i | −0.0745499 | − | 0.100336i | ||||
\(321\) | 164.790i | 0.513364i | ||||||||
\(322\) | −14.8972 | + | 1.88023i | −0.0462645 | + | 0.00583923i | ||||
\(323\) | 106.266i | 0.328997i | ||||||||
\(324\) | 4.05855 | + | 8.88699i | 0.0125264 | + | 0.0274290i | ||||
\(325\) | 341.428 | + | 399.794i | 1.05055 | + | 1.23014i | ||||
\(326\) | −31.6167 | + | 36.4876i | −0.0969837 | + | 0.111925i | ||||
\(327\) | −110.753 | − | 71.1766i | −0.338694 | − | 0.217666i | ||||
\(328\) | 78.7569 | − | 68.2433i | 0.240113 | − | 0.208059i | ||||
\(329\) | −27.7700 | + | 3.99272i | −0.0844072 | + | 0.0121359i | ||||
\(330\) | 0.778712 | − | 10.3647i | 0.00235973 | − | 0.0314081i | ||||
\(331\) | 111.486 | − | 71.6479i | 0.336817 | − | 0.216459i | −0.361289 | − | 0.932454i | \(-0.617663\pi\) |
0.698105 | + | 0.715995i | \(0.254027\pi\) | |||||||
\(332\) | 25.5113 | − | 177.435i | 0.0768414 | − | 0.534444i | ||||
\(333\) | −151.304 | + | 331.309i | −0.454365 | + | 0.994920i | ||||
\(334\) | −60.7437 | + | 133.010i | −0.181867 | + | 0.398234i | ||||
\(335\) | −37.0521 | − | 545.579i | −0.110603 | − | 1.62859i | ||||
\(336\) | −1.91597 | − | 2.98130i | −0.00570228 | − | 0.00887292i | ||||
\(337\) | −168.743 | − | 49.5473i | −0.500720 | − | 0.147025i | 0.0216126 | − | 0.999766i | \(-0.493120\pi\) |
−0.522333 | + | 0.852742i | \(0.674938\pi\) | |||||||
\(338\) | −382.505 | + | 54.9959i | −1.13167 | + | 0.162710i | ||||
\(339\) | −20.0002 | + | 17.3303i | −0.0589977 | + | 0.0511218i | ||||
\(340\) | −33.9556 | − | 12.8039i | −0.0998695 | − | 0.0376584i | ||||
\(341\) | 21.6035 | + | 18.7196i | 0.0633534 | + | 0.0548961i | ||||
\(342\) | 211.253 | − | 62.0295i | 0.617699 | − | 0.181373i | ||||
\(343\) | −18.7523 | − | 41.0619i | −0.0546716 | − | 0.119714i | ||||
\(344\) | − | 91.8289i | − | 0.266944i | ||||||
\(345\) | −191.467 | − | 109.789i | −0.554977 | − | 0.318230i | ||||
\(346\) | −34.1242 | −0.0986249 | ||||||||
\(347\) | 16.2035 | − | 7.39991i | 0.0466961 | − | 0.0213254i | −0.391930 | − | 0.919995i | \(-0.628193\pi\) |
0.438626 | + | 0.898670i | \(0.355465\pi\) | |||||||
\(348\) | 44.5374 | + | 151.681i | 0.127981 | + | 0.435864i | ||||
\(349\) | 34.0765 | − | 39.3264i | 0.0976405 | − | 0.112683i | −0.704826 | − | 0.709380i | \(-0.748975\pi\) |
0.802467 | + | 0.596697i | \(0.203521\pi\) | |||||||
\(350\) | −2.43868 | + | 16.1378i | −0.00696765 | + | 0.0461080i | ||||
\(351\) | 378.399 | + | 436.695i | 1.07806 | + | 1.24415i | ||||
\(352\) | 0.616584 | + | 4.28843i | 0.00175166 | + | 0.0121830i | ||||
\(353\) | −98.9849 | + | 337.112i | −0.280410 | + | 0.954990i | 0.692036 | + | 0.721863i | \(0.256714\pi\) |
−0.972446 | + | 0.233127i | \(0.925104\pi\) | |||||||
\(354\) | 135.616 | − | 87.1548i | 0.383095 | − | 0.246200i | ||||
\(355\) | −27.5672 | − | 405.917i | −0.0776541 | − | 1.14343i | ||||
\(356\) | 37.4176 | + | 17.0880i | 0.105106 | + | 0.0480001i | ||||
\(357\) | −2.92459 | − | 1.33561i | −0.00819212 | − | 0.00374122i | ||||
\(358\) | 43.7474 | + | 6.28992i | 0.122199 | + | 0.0175696i | ||||
\(359\) | −217.941 | − | 339.123i | −0.607079 | − | 0.944633i | −0.999689 | − | 0.0249283i | \(-0.992064\pi\) |
0.392610 | − | 0.919705i | \(-0.371572\pi\) | |||||||
\(360\) | −5.63307 | + | 74.9764i | −0.0156474 | + | 0.208268i | ||||
\(361\) | 70.6578 | + | 491.436i | 0.195728 | + | 1.36132i | ||||
\(362\) | 181.785 | + | 209.792i | 0.502170 | + | 0.579535i | ||||
\(363\) | 124.942 | − | 194.414i | 0.344194 | − | 0.535576i | ||||
\(364\) | −14.6736 | − | 12.7147i | −0.0403120 | − | 0.0349306i | ||||
\(365\) | −228.628 | − | 422.299i | −0.626379 | − | 1.15698i | ||||
\(366\) | −270.331 | + | 123.456i | −0.738609 | + | 0.337311i | ||||
\(367\) | 484.966 | 1.32143 | 0.660717 | − | 0.750635i | \(-0.270253\pi\) | ||||
0.660717 | + | 0.750635i | \(0.270253\pi\) | |||||||
\(368\) | 87.8131 | + | 27.4381i | 0.238623 | + | 0.0745602i | ||||
\(369\) | −195.883 | −0.530849 | ||||||||
\(370\) | 388.836 | − | 288.907i | 1.05091 | − | 0.780829i | ||||
\(371\) | 35.0472 | − | 10.2908i | 0.0944667 | − | 0.0277379i | ||||
\(372\) | 108.271 | + | 93.8177i | 0.291052 | + | 0.252198i | ||||
\(373\) | 155.779 | + | 100.113i | 0.417638 | + | 0.268399i | 0.732539 | − | 0.680725i | \(-0.238335\pi\) |
−0.314902 | + | 0.949124i | \(0.601971\pi\) | |||||||
\(374\) | 2.57401 | + | 2.97057i | 0.00688239 | + | 0.00794270i | ||||
\(375\) | −171.455 | + | 167.800i | −0.457212 | + | 0.447467i | ||||
\(376\) | 164.935 | + | 48.4292i | 0.438656 | + | 0.128801i | ||||
\(377\) | 468.248 | + | 728.609i | 1.24204 | + | 1.93265i | ||||
\(378\) | −2.55284 | + | 17.7554i | −0.00675354 | + | 0.0469719i | ||||
\(379\) | 301.401 | + | 137.645i | 0.795253 | + | 0.363180i | 0.771250 | − | 0.636532i | \(-0.219632\pi\) |
0.0240026 | + | 0.999712i | \(0.492359\pi\) | |||||||
\(380\) | −285.912 | − | 63.2723i | −0.752399 | − | 0.166506i | ||||
\(381\) | 35.5430 | − | 247.207i | 0.0932888 | − | 0.648838i | ||||
\(382\) | 390.199 | − | 250.766i | 1.02146 | − | 0.656455i | ||||
\(383\) | 247.372 | + | 72.6350i | 0.645880 | + | 0.189647i | 0.588235 | − | 0.808690i | \(-0.299823\pi\) |
0.0576445 | + | 0.998337i | \(0.481641\pi\) | |||||||
\(384\) | 3.09016 | + | 21.4926i | 0.00804730 | + | 0.0559702i | ||||
\(385\) | 1.06447 | − | 1.41137i | 0.00276485 | − | 0.00366590i | ||||
\(386\) | −65.0254 | − | 41.7893i | −0.168459 | − | 0.108262i | ||||
\(387\) | −113.035 | + | 130.450i | −0.292081 | + | 0.337080i | ||||
\(388\) | −132.550 | + | 38.9202i | −0.341624 | + | 0.100310i | ||||
\(389\) | −94.9168 | + | 43.3471i | −0.244002 | + | 0.111432i | −0.533663 | − | 0.845697i | \(-0.679185\pi\) |
0.289661 | + | 0.957129i | \(0.406458\pi\) | |||||||
\(390\) | −59.6634 | − | 279.089i | −0.152983 | − | 0.715613i | ||||
\(391\) | 80.4784 | − | 22.1301i | 0.205827 | − | 0.0565988i | ||||
\(392\) | 137.990i | 0.352016i | ||||||||
\(393\) | −216.880 | + | 99.0457i | −0.551857 | + | 0.252025i | ||||
\(394\) | 21.2850 | − | 6.24983i | 0.0540227 | − | 0.0158625i | ||||
\(395\) | −95.2419 | − | 52.4508i | −0.241119 | − | 0.132787i | ||||
\(396\) | 4.40288 | − | 6.85102i | 0.0111184 | − | 0.0173006i | ||||
\(397\) | −390.900 | + | 338.717i | −0.984635 | + | 0.853191i | −0.989166 | − | 0.146798i | \(-0.953103\pi\) |
0.00453099 | + | 0.999990i | \(0.498558\pi\) | |||||||
\(398\) | −14.0962 | − | 98.0415i | −0.0354177 | − | 0.246335i | ||||
\(399\) | −24.8929 | − | 7.30921i | −0.0623882 | − | 0.0183188i | ||||
\(400\) | 54.6668 | − | 83.7349i | 0.136667 | − | 0.209337i | ||||
\(401\) | −202.146 | − | 29.0643i | −0.504106 | − | 0.0724794i | −0.114429 | − | 0.993431i | \(-0.536504\pi\) |
−0.389676 | + | 0.920952i | \(0.627413\pi\) | |||||||
\(402\) | −123.313 | + | 270.019i | −0.306750 | + | 0.671688i | ||||
\(403\) | 713.971 | + | 326.060i | 1.77164 | + | 0.809081i | ||||
\(404\) | 25.8700 | − | 179.929i | 0.0640345 | − | 0.445370i | ||||
\(405\) | −17.3328 | + | 17.2087i | −0.0427969 | + | 0.0424907i | ||||
\(406\) | −7.57490 | + | 25.7977i | −0.0186574 | + | 0.0635412i | ||||
\(407\) | −51.9349 | + | 7.46711i | −0.127604 | + | 0.0183467i | ||||
\(408\) | 12.9003 | + | 14.8878i | 0.0316184 | + | 0.0364896i | ||||
\(409\) | 23.1887 | + | 14.9024i | 0.0566960 | + | 0.0364363i | 0.568682 | − | 0.822558i | \(-0.307454\pi\) |
−0.511986 | + | 0.858994i | \(0.671090\pi\) | |||||||
\(410\) | 228.208 | + | 125.677i | 0.556606 | + | 0.306529i | ||||
\(411\) | 33.5311 | + | 114.197i | 0.0815843 | + | 0.277850i | ||||
\(412\) | 29.7604 | + | 65.1662i | 0.0722340 | + | 0.158170i | ||||
\(413\) | 27.4179 | 0.0663872 | ||||||||
\(414\) | −90.9707 | − | 147.070i | −0.219736 | − | 0.355242i | ||||
\(415\) | 438.247 | − | 93.6881i | 1.05602 | − | 0.225754i | ||||
\(416\) | 49.4188 | + | 108.212i | 0.118795 | + | 0.260125i | ||||
\(417\) | −66.2861 | − | 225.750i | −0.158959 | − | 0.541366i | ||||
\(418\) | 23.9703 | + | 20.7704i | 0.0573453 | + | 0.0496900i | ||||
\(419\) | 350.071 | − | 544.721i | 0.835492 | − | 1.30005i | −0.116271 | − | 0.993217i | \(-0.537094\pi\) |
0.951763 | − | 0.306833i | \(-0.0992694\pi\) | |||||||
\(420\) | 5.33485 | − | 7.07344i | 0.0127020 | − | 0.0168415i | ||||
\(421\) | 91.4432 | − | 13.1475i | 0.217205 | − | 0.0312293i | −0.0328533 | − | 0.999460i | \(-0.510459\pi\) |
0.250058 | + | 0.968231i | \(0.419550\pi\) | |||||||
\(422\) | 83.8612 | − | 285.605i | 0.198723 | − | 0.676789i | ||||
\(423\) | −174.689 | − | 271.822i | −0.412977 | − | 0.642604i | ||||
\(424\) | −221.524 | − | 31.8503i | −0.522461 | − | 0.0751186i | ||||
\(425\) | 0.651496 | − | 90.7212i | 0.00153293 | − | 0.213462i | ||||
\(426\) | −91.7466 | + | 200.897i | −0.215368 | + | 0.471589i | ||||
\(427\) | −50.0309 | − | 7.19336i | −0.117168 | − | 0.0168463i | ||||
\(428\) | 144.464 | − | 92.8417i | 0.337534 | − | 0.216920i | ||||
\(429\) | −8.70894 | + | 29.6599i | −0.0203006 | + | 0.0691374i | ||||
\(430\) | 215.384 | − | 79.4544i | 0.500894 | − | 0.184778i | ||||
\(431\) | −90.2680 | + | 78.2177i | −0.209439 | + | 0.181480i | −0.753263 | − | 0.657720i | \(-0.771521\pi\) |
0.543824 | + | 0.839199i | \(0.316976\pi\) | |||||||
\(432\) | 59.4202 | − | 92.4596i | 0.137547 | − | 0.214027i | ||||
\(433\) | −499.920 | + | 576.938i | −1.15455 | + | 1.33242i | −0.220454 | + | 0.975397i | \(0.570754\pi\) |
−0.934095 | + | 0.357024i | \(0.883791\pi\) | |||||||
\(434\) | 6.86475 | + | 23.3792i | 0.0158174 | + | 0.0538691i | ||||
\(435\) | −317.230 | + | 235.703i | −0.729265 | + | 0.541846i | ||||
\(436\) | 137.193i | 0.314663i | ||||||||
\(437\) | 617.378 | − | 269.176i | 1.41277 | − | 0.615964i | ||||
\(438\) | 260.680i | 0.595160i | ||||||||
\(439\) | −325.544 | − | 712.843i | −0.741559 | − | 1.62379i | −0.780973 | − | 0.624565i | \(-0.785276\pi\) |
0.0394137 | − | 0.999223i | \(-0.487451\pi\) | |||||||
\(440\) | −9.52501 | + | 5.15674i | −0.0216477 | + | 0.0117199i | ||||
\(441\) | 169.857 | − | 196.026i | 0.385164 | − | 0.444502i | ||||
\(442\) | 90.7941 | + | 58.3498i | 0.205416 | + | 0.132013i | ||||
\(443\) | −293.320 | + | 254.164i | −0.662123 | + | 0.573733i | −0.919747 | − | 0.392513i | \(-0.871606\pi\) |
0.257624 | + | 0.966245i | \(0.417060\pi\) | |||||||
\(444\) | −260.284 | + | 37.4233i | −0.586226 | + | 0.0842866i | ||||
\(445\) | −7.70457 | + | 102.548i | −0.0173136 | + | 0.230445i | ||||
\(446\) | 298.766 | − | 192.005i | 0.669879 | − | 0.430505i | ||||
\(447\) | −4.71160 | + | 32.7699i | −0.0105405 | + | 0.0733108i | ||||
\(448\) | −1.53414 | + | 3.35930i | −0.00342442 | + | 0.00749843i | ||||
\(449\) | −243.510 | + | 533.213i | −0.542339 | + | 1.18756i | 0.417929 | + | 0.908479i | \(0.362756\pi\) |
−0.960269 | + | 0.279077i | \(0.909971\pi\) | |||||||
\(450\) | −180.731 | + | 51.6605i | −0.401624 | + | 0.114801i | ||||
\(451\) | −15.2560 | − | 23.7389i | −0.0338271 | − | 0.0526360i | ||||
\(452\) | 26.4608 | + | 7.76958i | 0.0585415 | + | 0.0171893i | ||||
\(453\) | 84.6357 | − | 12.1688i | 0.186834 | − | 0.0268626i | ||||
\(454\) | 324.805 | − | 281.445i | 0.715430 | − | 0.619923i | ||||
\(455\) | 17.1261 | − | 45.4182i | 0.0376398 | − | 0.0998201i | ||||
\(456\) | 120.133 | + | 104.096i | 0.263450 | + | 0.228281i | ||||
\(457\) | 584.530 | − | 171.634i | 1.27906 | − | 0.375566i | 0.429504 | − | 0.903065i | \(-0.358688\pi\) |
0.849556 | + | 0.527499i | \(0.176870\pi\) | |||||||
\(458\) | 160.128 | + | 350.632i | 0.349625 | + | 0.765573i | ||||
\(459\) | − | 99.7115i | − | 0.217236i | ||||||
\(460\) | 11.6238 | + | 229.706i | 0.0252691 | + | 0.499361i | ||||
\(461\) | −573.210 | −1.24341 | −0.621703 | − | 0.783253i | \(-0.713559\pi\) | ||||
−0.621703 | + | 0.783253i | \(0.713559\pi\) | |||||||
\(462\) | −0.872904 | + | 0.398642i | −0.00188940 | + | 0.000862861i | ||||
\(463\) | −18.1715 | − | 61.8863i | −0.0392472 | − | 0.133664i | 0.937539 | − | 0.347880i | \(-0.113098\pi\) |
−0.976786 | + | 0.214216i | \(0.931280\pi\) | |||||||
\(464\) | 107.880 | − | 124.500i | 0.232500 | − | 0.268319i | ||||
\(465\) | −126.368 | + | 335.125i | −0.271759 | + | 0.720700i | ||||
\(466\) | 287.435 | + | 331.718i | 0.616814 | + | 0.711841i | ||||
\(467\) | −10.2154 | − | 71.0496i | −0.0218745 | − | 0.152141i | 0.975957 | − | 0.217964i | \(-0.0699416\pi\) |
−0.997831 | + | 0.0658237i | \(0.979033\pi\) | |||||||
\(468\) | 62.9991 | − | 214.555i | 0.134613 | − | 0.458451i | ||||
\(469\) | −42.4724 | + | 27.2953i | −0.0905594 | + | 0.0581990i | ||||
\(470\) | 29.1183 | + | 428.757i | 0.0619539 | + | 0.912249i | ||||
\(471\) | 80.1805 | + | 36.6172i | 0.170235 | + | 0.0777436i | ||||
\(472\) | −152.810 | − | 69.7861i | −0.323750 | − | 0.147852i | ||||
\(473\) | −24.6126 | − | 3.53876i | −0.0520351 | − | 0.00748152i | ||||
\(474\) | 31.9101 | + | 49.6530i | 0.0673208 | + | 0.104753i | ||||
\(475\) | −98.9786 | − | 725.351i | −0.208376 | − | 1.52705i | ||||
\(476\) | 0.476818 | + | 3.31635i | 0.00100172 | + | 0.00696711i | ||||
\(477\) | 275.485 | + | 317.927i | 0.577538 | + | 0.666514i | ||||
\(478\) | −219.624 | + | 341.741i | −0.459464 | + | 0.714940i | ||||
\(479\) | 170.440 | + | 147.687i | 0.355825 | + | 0.308324i | 0.814369 | − | 0.580348i | \(-0.197083\pi\) |
−0.458544 | + | 0.888672i | \(0.651629\pi\) | |||||||
\(480\) | −47.7370 | + | 25.8443i | −0.0994520 | + | 0.0538422i | ||||
\(481\) | −1310.50 | + | 598.484i | −2.72453 | + | 1.24425i | ||||
\(482\) | −586.863 | −1.21756 | ||||||||
\(483\) | −0.351481 | + | 20.3743i | −0.000727704 | + | 0.0421828i | ||||
\(484\) | −240.827 | −0.497576 | ||||||||
\(485\) | −205.975 | − | 277.220i | −0.424691 | − | 0.571588i | ||||
\(486\) | −322.834 | + | 94.7926i | −0.664267 | + | 0.195047i | ||||
\(487\) | −200.443 | − | 173.685i | −0.411587 | − | 0.356642i | 0.424321 | − | 0.905512i | \(-0.360513\pi\) |
−0.835908 | + | 0.548870i | \(0.815058\pi\) | |||||||
\(488\) | 260.532 | + | 167.434i | 0.533876 | + | 0.343102i | ||||
\(489\) | 42.9069 | + | 49.5172i | 0.0877442 | + | 0.101262i | ||||
\(490\) | −323.655 | + | 119.395i | −0.660521 | + | 0.243664i | ||||
\(491\) | 700.984 | + | 205.827i | 1.42767 | + | 0.419200i | 0.902091 | − | 0.431547i | \(-0.142032\pi\) |
0.525575 | + | 0.850747i | \(0.323850\pi\) | |||||||
\(492\) | −76.4594 | − | 118.973i | −0.155405 | − | 0.241815i | ||||
\(493\) | 21.2697 | − | 147.934i | 0.0431435 | − | 0.300070i | ||||
\(494\) | 792.192 | + | 361.782i | 1.60363 | + | 0.732352i | ||||
\(495\) | 19.8786 | + | 4.39914i | 0.0401588 | + | 0.00888715i | ||||
\(496\) | 21.2466 | − | 147.774i | 0.0428359 | − | 0.297930i | ||||
\(497\) | −31.5999 | + | 20.3081i | −0.0635814 | + | 0.0408613i | ||||
\(498\) | −233.419 | − | 68.5380i | −0.468713 | − | 0.137626i | ||||
\(499\) | 125.380 | + | 872.037i | 0.251263 | + | 1.74757i | 0.590655 | + | 0.806924i | \(0.298869\pi\) |
−0.339392 | + | 0.940645i | \(0.610221\pi\) | |||||||
\(500\) | 243.700 | + | 55.7696i | 0.487400 | + | 0.111539i | ||||
\(501\) | 166.939 | + | 107.285i | 0.333211 | + | 0.214142i | ||||
\(502\) | 199.501 | − | 230.236i | 0.397412 | − | 0.458638i | ||||
\(503\) | 292.407 | − | 85.8586i | 0.581327 | − | 0.170693i | 0.0221692 | − | 0.999754i | \(-0.492943\pi\) |
0.559158 | + | 0.829061i | \(0.311125\pi\) | |||||||
\(504\) | 6.31444 | − | 2.88371i | 0.0125287 | − | 0.00572165i | ||||
\(505\) | 444.408 | − | 95.0051i | 0.880015 | − | 0.188129i | ||||
\(506\) | 10.7382 | − | 22.4789i | 0.0212217 | − | 0.0444248i | ||||
\(507\) | 524.434i | 1.03439i | ||||||||
\(508\) | −236.741 | + | 108.116i | −0.466026 | + | 0.212827i | ||||
\(509\) | 492.191 | − | 144.520i | 0.966976 | − | 0.283930i | 0.240138 | − | 0.970739i | \(-0.422807\pi\) |
0.726838 | + | 0.686809i | \(0.240989\pi\) | |||||||
\(510\) | −23.7572 | + | 43.1392i | −0.0465828 | + | 0.0845866i | ||||
\(511\) | −23.9700 | + | 37.2981i | −0.0469081 | + | 0.0729904i | ||||
\(512\) | 17.1007 | − | 14.8178i | 0.0333997 | − | 0.0289410i | ||||
\(513\) | −114.506 | − | 796.409i | −0.223209 | − | 1.55246i | ||||
\(514\) | 300.041 | + | 88.1000i | 0.583737 | + | 0.171401i | ||||
\(515\) | −127.097 | + | 126.188i | −0.246790 | + | 0.245024i | ||||
\(516\) | −123.352 | − | 17.7354i | −0.239055 | − | 0.0343709i | ||||
\(517\) | 19.3364 | − | 42.3407i | 0.0374011 | − | 0.0818969i | ||||
\(518\) | −40.6826 | − | 18.5791i | −0.0785378 | − | 0.0358670i | ||||
\(519\) | −6.59058 | + | 45.8385i | −0.0126986 | + | 0.0883208i | ||||
\(520\) | −211.052 | + | 209.542i | −0.405869 | + | 0.402965i | ||||
\(521\) | −218.494 | + | 744.121i | −0.419374 | + | 1.42826i | 0.431131 | + | 0.902289i | \(0.358115\pi\) |
−0.850505 | + | 0.525967i | \(0.823704\pi\) | |||||||
\(522\) | −306.504 | + | 44.0686i | −0.587172 | + | 0.0844225i | ||||
\(523\) | 149.866 | + | 172.954i | 0.286550 | + | 0.330697i | 0.880715 | − | 0.473647i | \(-0.157063\pi\) |
−0.594165 | + | 0.804344i | \(0.702517\pi\) | |||||||
\(524\) | 209.018 | + | 134.328i | 0.398890 | + | 0.256351i | ||||
\(525\) | 21.2067 | + | 6.39262i | 0.0403937 | + | 0.0121764i | ||||
\(526\) | −49.0607 | − | 167.085i | −0.0932712 | − | 0.317653i | ||||
\(527\) | −56.2655 | − | 123.204i | −0.106766 | − | 0.233784i | ||||
\(528\) | 5.87967 | 0.0111357 | ||||||||
\(529\) | −332.426 | − | 411.502i | −0.628404 | − | 0.777887i | ||||
\(530\) | −116.967 | − | 547.141i | −0.220693 | − | 1.03234i | ||||
\(531\) | 131.176 | + | 287.236i | 0.247036 | + | 0.540934i | ||||
\(532\) | 7.61683 | + | 25.9405i | 0.0143173 | + | 0.0487604i | ||||
\(533\) | −585.571 | − | 507.400i | −1.09863 | − | 0.951970i | ||||
\(534\) | 30.1807 | − | 46.9621i | 0.0565182 | − | 0.0879441i | ||||
\(535\) | 342.757 | + | 258.510i | 0.640667 | + | 0.483196i | ||||
\(536\) | 306.188 | − | 44.0232i | 0.571247 | − | 0.0821329i | ||||
\(537\) | 16.8983 | − | 57.5503i | 0.0314680 | − | 0.107170i | ||||
\(538\) | −161.483 | − | 251.273i | −0.300155 | − | 0.467050i | ||||
\(539\) | 36.9851 | + | 5.31766i | 0.0686180 | + | 0.00986578i | ||||
\(540\) | 268.277 | + | 59.3697i | 0.496809 | + | 0.109944i | ||||
\(541\) | 374.809 | − | 820.717i | 0.692808 | − | 1.51704i | −0.155671 | − | 0.987809i | \(-0.549754\pi\) |
0.848479 | − | 0.529229i | \(-0.177519\pi\) | |||||||
\(542\) | −524.525 | − | 75.4153i | −0.967759 | − | 0.139143i | ||||
\(543\) | 316.919 | − | 203.671i | 0.583644 | − | 0.375085i | ||||
\(544\) | 5.78352 | − | 19.6969i | 0.0106315 | − | 0.0362075i | ||||
\(545\) | −321.786 | + | 118.706i | −0.590433 | + | 0.217808i | ||||
\(546\) | −19.9135 | + | 17.2551i | −0.0364716 | + | 0.0316028i | ||||
\(547\) | 156.802 | − | 243.989i | 0.286658 | − | 0.446048i | −0.667823 | − | 0.744320i | \(-0.732774\pi\) |
0.954481 | + | 0.298272i | \(0.0964101\pi\) | |||||||
\(548\) | 81.2202 | − | 93.7331i | 0.148212 | − | 0.171046i | ||||
\(549\) | −164.005 | − | 558.550i | −0.298734 | − | 1.01740i | ||||
\(550\) | −20.3366 | − | 17.8790i | −0.0369756 | − | 0.0325073i | ||||
\(551\) | − | 1206.00i | − | 2.18874i | ||||||
\(552\) | 53.8170 | − | 112.659i | 0.0974946 | − | 0.204092i | ||||
\(553\) | 10.0385i | 0.0181529i | ||||||||
\(554\) | 50.8298 | + | 111.302i | 0.0917505 | + | 0.200906i | ||||
\(555\) | −312.986 | − | 578.116i | −0.563938 | − | 1.04165i | ||||
\(556\) | −160.560 | + | 185.297i | −0.288778 | + | 0.333267i | ||||
\(557\) | −508.840 | − | 327.012i | −0.913537 | − | 0.587094i | −0.00276118 | − | 0.999996i | \(-0.500879\pi\) |
−0.910776 | + | 0.412902i | \(0.864515\pi\) | |||||||
\(558\) | −212.082 | + | 183.770i | −0.380076 | + | 0.329337i | ||||
\(559\) | −675.813 | + | 97.1672i | −1.20897 | + | 0.173823i | ||||
\(560\) | −9.20663 | − | 0.691706i | −0.0164404 | − | 0.00123519i | ||||
\(561\) | 4.48745 | − | 2.88391i | 0.00799903 | − | 0.00514066i | ||||
\(562\) | 15.5115 | − | 107.885i | 0.0276005 | − | 0.191966i | ||||
\(563\) | 101.354 | − | 221.934i | 0.180025 | − | 0.394199i | −0.798009 | − | 0.602645i | \(-0.794113\pi\) |
0.978034 | + | 0.208446i | \(0.0668407\pi\) | |||||||
\(564\) | 96.9089 | − | 212.201i | 0.171824 | − | 0.376243i | ||||
\(565\) | 4.67150 | + | 68.7862i | 0.00826814 | + | 0.121745i | ||||
\(566\) | −29.7539 | − | 46.2980i | −0.0525688 | − | 0.0817986i | ||||
\(567\) | 2.16368 | + | 0.635314i | 0.00381602 | + | 0.00112048i | ||||
\(568\) | 227.808 | − | 32.7538i | 0.401070 | − | 0.0576652i | ||||
\(569\) | −812.384 | + | 703.934i | −1.42774 | + | 1.23714i | −0.498900 | + | 0.866660i | \(0.666263\pi\) |
−0.928839 | + | 0.370483i | \(0.879192\pi\) | |||||||
\(570\) | −140.212 | + | 371.841i | −0.245987 | + | 0.652352i | ||||
\(571\) | 7.08206 | + | 6.13664i | 0.0124029 | + | 0.0107472i | 0.661040 | − | 0.750351i | \(-0.270115\pi\) |
−0.648637 | + | 0.761098i | \(0.724661\pi\) | |||||||
\(572\) | 30.9082 | − | 9.07547i | 0.0540353 | − | 0.0158662i | ||||
\(573\) | −261.488 | − | 572.580i | −0.456350 | − | 0.999267i | ||||
\(574\) | − | 24.0532i | − | 0.0419046i | ||||||
\(575\) | −528.717 | + | 226.015i | −0.919508 | + | 0.393070i | ||||
\(576\) | −42.5326 | −0.0738413 | ||||||||
\(577\) | −110.540 | + | 50.4821i | −0.191578 | + | 0.0874907i | −0.508894 | − | 0.860829i | \(-0.669946\pi\) |
0.317316 | + | 0.948320i | \(0.397218\pi\) | |||||||
\(578\) | 109.899 | + | 374.282i | 0.190137 | + | 0.647548i | ||||
\(579\) | −68.6936 | + | 79.2766i | −0.118642 | + | 0.136920i | ||||
\(580\) | 385.357 | + | 145.309i | 0.664409 | + | 0.250533i | ||||
\(581\) | −27.0954 | − | 31.2697i | −0.0466357 | − | 0.0538205i | ||||
\(582\) | 26.6808 | + | 185.569i | 0.0458433 | + | 0.318847i | ||||
\(583\) | −17.0735 | + | 58.1469i | −0.0292856 | + | 0.0997374i | ||||
\(584\) | 228.528 | − | 146.866i | 0.391314 | − | 0.251482i | ||||
\(585\) | 557.748 | − | 37.8785i | 0.953415 | − | 0.0647496i | ||||
\(586\) | 462.786 | + | 211.347i | 0.789737 | + | 0.360661i | ||||
\(587\) | −253.029 | − | 115.555i | −0.431055 | − | 0.196856i | 0.188058 | − | 0.982158i | \(-0.439781\pi\) |
−0.619113 | + | 0.785302i | \(0.712508\pi\) | |||||||
\(588\) | 185.360 | + | 26.6508i | 0.315238 | + | 0.0453244i | ||||
\(589\) | −590.885 | − | 919.435i | −1.00320 | − | 1.56101i | ||||
\(590\) | 31.4648 | − | 418.798i | 0.0533302 | − | 0.709827i | ||||
\(591\) | −4.28442 | − | 29.7988i | −0.00724944 | − | 0.0504210i | ||||
\(592\) | 179.450 | + | 207.097i | 0.303126 | + | 0.349825i | ||||
\(593\) | −200.895 | + | 312.598i | −0.338777 | + | 0.527147i | −0.968285 | − | 0.249847i | \(-0.919620\pi\) |
0.629509 | + | 0.776993i | \(0.283256\pi\) | |||||||
\(594\) | −22.4918 | − | 19.4893i | −0.0378650 | − | 0.0328102i | ||||
\(595\) | −7.36591 | + | 3.98782i | −0.0123797 | + | 0.00670223i | ||||
\(596\) | 31.3825 | − | 14.3319i | 0.0526553 | − | 0.0240468i | ||||
\(597\) | −134.420 | −0.225159 | ||||||||
\(598\) | 109.012 | − | 675.292i | 0.182295 | − | 1.12925i | ||||
\(599\) | 385.432 | 0.643459 | 0.321730 | − | 0.946832i | \(-0.395736\pi\) | ||||
0.321730 | + | 0.946832i | \(0.395736\pi\) | |||||||
\(600\) | −101.922 | − | 89.6052i | −0.169870 | − | 0.149342i | ||||
\(601\) | −73.5933 | + | 21.6089i | −0.122451 | + | 0.0359550i | −0.342384 | − | 0.939560i | \(-0.611234\pi\) |
0.219933 | + | 0.975515i | \(0.429416\pi\) | |||||||
\(602\) | −16.0184 | − | 13.8800i | −0.0266087 | − | 0.0230566i | ||||
\(603\) | −489.154 | − | 314.360i | −0.811200 | − | 0.521327i | ||||
\(604\) | −58.3511 | − | 67.3408i | −0.0966079 | − | 0.111491i | ||||
\(605\) | −208.374 | − | 564.858i | −0.344420 | − | 0.933650i | ||||
\(606\) | −236.700 | − | 69.5014i | −0.390594 | − | 0.114689i | ||||
\(607\) | 306.828 | + | 477.434i | 0.505483 | + | 0.786547i | 0.996410 | − | 0.0846537i | \(-0.0269784\pi\) |
−0.490928 | + | 0.871200i | \(0.663342\pi\) | |||||||
\(608\) | 23.5743 | − | 163.963i | 0.0387736 | − | 0.269676i | ||||
\(609\) | 33.1907 | + | 15.1577i | 0.0545004 | + | 0.0248895i | ||||
\(610\) | −167.291 | + | 755.947i | −0.274248 | + | 1.23926i | ||||
\(611\) | 181.891 | − | 1265.08i | 0.297694 | − | 2.07051i | ||||
\(612\) | −32.4615 | + | 20.8617i | −0.0530417 | + | 0.0340878i | ||||
\(613\) | 563.307 | + | 165.402i | 0.918935 | + | 0.269824i | 0.706797 | − | 0.707416i | \(-0.250139\pi\) |
0.212138 | + | 0.977240i | \(0.431957\pi\) | |||||||
\(614\) | 67.5817 | + | 470.041i | 0.110068 | + | 0.765539i | ||||
\(615\) | 212.895 | − | 282.276i | 0.346171 | − | 0.458986i | ||||
\(616\) | 0.841262 | + | 0.540647i | 0.00136569 | + | 0.000877673i | ||||
\(617\) | −452.503 | + | 522.216i | −0.733392 | + | 0.846380i | −0.992849 | − | 0.119375i | \(-0.961911\pi\) |
0.259457 | + | 0.965755i | \(0.416456\pi\) | |||||||
\(618\) | 93.2845 | − | 27.3908i | 0.150946 | − | 0.0443217i | ||||
\(619\) | 466.868 | − | 213.211i | 0.754229 | − | 0.344445i | −0.000918844 | − | 1.00000i | \(-0.500292\pi\) |
0.755148 | + | 0.655555i | \(0.227565\pi\) | |||||||
\(620\) | 364.986 | − | 78.0263i | 0.588687 | − | 0.125849i | ||||
\(621\) | −579.298 | + | 252.573i | −0.932847 | + | 0.406720i | ||||
\(622\) | − | 742.988i | − | 1.19451i | ||||||
\(623\) | 8.63651 | − | 3.94416i | 0.0138628 | − | 0.00633092i | ||||
\(624\) | 154.904 | − | 45.4840i | 0.248244 | − | 0.0728910i | ||||
\(625\) | 80.0528 | + | 619.852i | 0.128084 | + | 0.991763i | ||||
\(626\) | 147.619 | − | 229.700i | 0.235813 | − | 0.366933i | ||||
\(627\) | 32.5301 | − | 28.1875i | 0.0518821 | − | 0.0449561i | ||||
\(628\) | −13.0725 | − | 90.9209i | −0.0208160 | − | 0.144779i | ||||
\(629\) | 238.538 | + | 70.0410i | 0.379233 | + | 0.111353i | ||||
\(630\) | 12.2273 | + | 12.3154i | 0.0194084 | + | 0.0195482i | ||||
\(631\) | 627.758 | + | 90.2580i | 0.994862 | + | 0.143040i | 0.620470 | − | 0.784231i | \(-0.286942\pi\) |
0.374393 | + | 0.927270i | \(0.377851\pi\) | |||||||
\(632\) | 25.5508 | − | 55.9485i | 0.0404285 | − | 0.0885261i | ||||
\(633\) | −367.452 | − | 167.810i | −0.580493 | − | 0.265102i | ||||
\(634\) | −22.9909 | + | 159.905i | −0.0362632 | + | 0.252216i | ||||
\(635\) | −458.425 | − | 461.729i | −0.721929 | − | 0.727132i | ||||
\(636\) | −85.5680 | + | 291.418i | −0.134541 | + | 0.458204i | ||||
\(637\) | 1015.54 | − | 146.012i | 1.59425 | − | 0.229218i | ||||
\(638\) | −29.2121 | − | 33.7126i | −0.0457870 | − | 0.0528410i | ||||
\(639\) | −363.936 | − | 233.888i | −0.569540 | − | 0.366021i | ||||
\(640\) | 49.5514 | + | 27.2885i | 0.0774240 | + | 0.0426383i | ||||
\(641\) | 83.7025 | + | 285.064i | 0.130581 | + | 0.444718i | 0.998662 | − | 0.0517036i | \(-0.0164651\pi\) |
−0.868081 | + | 0.496422i | \(0.834647\pi\) | |||||||
\(642\) | −96.8116 | − | 211.988i | −0.150797 | − | 0.330199i | ||||
\(643\) | −311.748 | −0.484834 | −0.242417 | − | 0.970172i | \(-0.577940\pi\) | ||||
−0.242417 | + | 0.970172i | \(0.577940\pi\) | |||||||
\(644\) | 18.0593 | − | 11.1706i | 0.0280424 | − | 0.0173457i | ||||
\(645\) | −65.1316 | − | 304.668i | −0.100979 | − | 0.472353i | ||||
\(646\) | −62.4298 | − | 136.702i | −0.0966405 | − | 0.211613i | ||||
\(647\) | 245.193 | + | 835.049i | 0.378968 | + | 1.29065i | 0.899543 | + | 0.436832i | \(0.143899\pi\) |
−0.520575 | + | 0.853816i | \(0.674282\pi\) | |||||||
\(648\) | −10.4420 | − | 9.04801i | −0.0161141 | − | 0.0139630i | ||||
\(649\) | −24.5933 | + | 38.2680i | −0.0378942 | + | 0.0589645i | ||||
\(650\) | −674.091 | − | 313.717i | −1.03706 | − | 0.482641i | ||||
\(651\) | 32.7307 | − | 4.70597i | 0.0502776 | − | 0.00722883i | ||||
\(652\) | 19.2362 | − | 65.5125i | 0.0295034 | − | 0.100479i | ||||
\(653\) | −375.613 | − | 584.465i | −0.575211 | − | 0.895046i | 0.424736 | − | 0.905317i | \(-0.360367\pi\) |
−0.999947 | + | 0.0102709i | \(0.996731\pi\) | |||||||
\(654\) | 184.289 | + | 26.4968i | 0.281788 | + | 0.0405150i | ||||
\(655\) | −134.214 | + | 606.478i | −0.204906 | + | 0.925920i | ||||
\(656\) | −61.2221 | + | 134.058i | −0.0933264 | + | 0.204356i | ||||
\(657\) | −505.423 | − | 72.6689i | −0.769290 | − | 0.110607i | ||||
\(658\) | 33.3780 | − | 21.4507i | 0.0507264 | − | 0.0325999i | ||||
\(659\) | 162.296 | − | 552.729i | 0.246276 | − | 0.838738i | −0.739855 | − | 0.672767i | \(-0.765106\pi\) |
0.986131 | − | 0.165972i | \(-0.0530760\pi\) | |||||||
\(660\) | 5.08735 | + | 13.7907i | 0.00770811 | + | 0.0208951i | ||||
\(661\) | 356.538 | − | 308.942i | 0.539392 | − | 0.467386i | −0.342047 | − | 0.939683i | \(-0.611120\pi\) |
0.881440 | + | 0.472297i | \(0.156575\pi\) | |||||||
\(662\) | −101.325 | + | 157.666i | −0.153060 | + | 0.238165i | ||||
\(663\) | 95.9159 | − | 110.693i | 0.144670 | − | 0.166958i | ||||
\(664\) | 71.4225 | + | 243.243i | 0.107564 | + | 0.366329i | ||||
\(665\) | −54.2530 | + | 40.3101i | −0.0815835 | + | 0.0606168i | ||||
\(666\) | − | 515.088i | − | 0.773406i | ||||||
\(667\) | −913.338 | + | 251.152i | −1.36932 | + | 0.376539i | ||||
\(668\) | − | 206.792i | − | 0.309569i | ||||||
\(669\) | −200.216 | − | 438.411i | −0.299276 | − | 0.655323i | ||||
\(670\) | 368.184 | + | 680.073i | 0.549528 | + | 1.01503i | ||||
\(671\) | 54.9167 | − | 63.3772i | 0.0818431 | − | 0.0944519i | ||||
\(672\) | 4.21620 | + | 2.70958i | 0.00627410 | + | 0.00403212i | ||||
\(673\) | −30.6386 | + | 26.5485i | −0.0455254 | + | 0.0394480i | −0.677326 | − | 0.735683i | \(-0.736861\pi\) |
0.631801 | + | 0.775131i | \(0.282316\pi\) | |||||||
\(674\) | 246.181 | − | 35.3955i | 0.365254 | − | 0.0525156i | ||||
\(675\) | 92.8735 | + | 680.611i | 0.137590 | + | 1.00831i | ||||
\(676\) | 459.750 | − | 295.463i | 0.680104 | − | 0.437076i | ||||
\(677\) | 84.1561 | − | 585.319i | 0.124307 | − | 0.864577i | −0.828281 | − | 0.560314i | \(-0.810681\pi\) |
0.952588 | − | 0.304263i | \(-0.0984103\pi\) | |||||||
\(678\) | 15.5473 | − | 34.0437i | 0.0229311 | − | 0.0502120i | ||||
\(679\) | −13.2459 | + | 29.0046i | −0.0195080 | + | 0.0427166i | ||||
\(680\) | 51.2031 | − | 3.47737i | 0.0752986 | − | 0.00511378i | ||||
\(681\) | −315.330 | − | 490.663i | −0.463039 | − | 0.720503i | ||||
\(682\) | −38.7885 | − | 11.3893i | −0.0568747 | − | 0.0166999i | ||||
\(683\) | 854.069 | − | 122.797i | 1.25047 | − | 0.179790i | 0.514905 | − | 0.857247i | \(-0.327827\pi\) |
0.735562 | + | 0.677457i | \(0.236918\pi\) | |||||||
\(684\) | −235.317 | + | 203.904i | −0.344031 | + | 0.298105i | ||||
\(685\) | 290.126 | + | 109.400i | 0.423541 | + | 0.159707i | ||||
\(686\) | 48.2466 | + | 41.8059i | 0.0703303 | + | 0.0609415i | ||||
\(687\) | 501.925 | − | 147.379i | 0.730605 | − | 0.214525i | ||||
\(688\) | 53.9481 | + | 118.130i | 0.0784130 | + | 0.171700i | ||||
\(689\) | 1664.00i | 2.41510i | ||||||||
\(690\) | 310.806 | + | 28.7503i | 0.450443 | + | 0.0416671i | ||||
\(691\) | −1041.59 | −1.50737 | −0.753687 | − | 0.657234i | \(-0.771726\pi\) | ||||
−0.753687 | + | 0.657234i | \(0.771726\pi\) | |||||||
\(692\) | 43.8978 | − | 20.0475i | 0.0634362 | − | 0.0289703i | ||||
\(693\) | −0.529576 | − | 1.80357i | −0.000764179 | − | 0.00260255i | ||||
\(694\) | −16.4971 | + | 19.0387i | −0.0237711 | + | 0.0274333i | ||||
\(695\) | −573.536 | − | 216.267i | −0.825232 | − | 0.311175i | ||||
\(696\) | −146.404 | − | 168.959i | −0.210350 | − | 0.242757i | ||||
\(697\) | 19.0281 | + | 132.344i | 0.0273001 | + | 0.189876i | ||||
\(698\) | −20.7328 | + | 70.6095i | −0.0297032 | + | 0.101160i | ||||
\(699\) | 501.105 | − | 322.041i | 0.716889 | − | 0.460716i | ||||
\(700\) | −6.34359 | − | 22.1926i | −0.00906227 | − | 0.0317037i | ||||
\(701\) | 99.8854 | + | 45.6161i | 0.142490 | + | 0.0650729i | 0.485384 | − | 0.874301i | \(-0.338680\pi\) |
−0.342894 | + | 0.939374i | \(0.611407\pi\) | |||||||
\(702\) | −743.329 | − | 339.467i | −1.05887 | − | 0.483571i | ||||
\(703\) | 1985.67 | + | 285.496i | 2.82456 | + | 0.406111i | ||||
\(704\) | −3.31257 | − | 5.15447i | −0.00470536 | − | 0.00732169i | ||||
\(705\) | 581.567 | + | 43.6939i | 0.824917 | + | 0.0619771i | ||||
\(706\) | −70.7126 | − | 491.817i | −0.100160 | − | 0.696625i | ||||
\(707\) | −27.4762 | − | 31.7093i | −0.0388631 | − | 0.0448504i | ||||
\(708\) | −123.256 | + | 191.789i | −0.174090 | + | 0.270889i | ||||
\(709\) | 775.606 | + | 672.067i | 1.09394 | + | 0.947908i | 0.998868 | − | 0.0475624i | \(-0.0151453\pi\) |
0.0950755 | + | 0.995470i | \(0.469691\pi\) | |||||||
\(710\) | 273.933 | + | 505.982i | 0.385822 | + | 0.712651i | ||||
\(711\) | −105.166 | + | 48.0277i | −0.147913 | + | 0.0675494i | ||||
\(712\) | −58.1735 | −0.0817043 | ||||||||
\(713\) | −573.262 | + | 638.969i | −0.804014 | + | 0.896170i | ||||
\(714\) | 4.54689 | 0.00636819 | ||||||||
\(715\) | 48.0296 | + | 64.6426i | 0.0671743 | + | 0.0904092i | ||||
\(716\) | −59.9725 | + | 17.6095i | −0.0837604 | + | 0.0245943i | ||||
\(717\) | 416.639 | + | 361.020i | 0.581086 | + | 0.503514i | ||||
\(718\) | 479.593 | + | 308.216i | 0.667957 | + | 0.429270i | ||||
\(719\) | 179.895 | + | 207.610i | 0.250202 | + | 0.288748i | 0.866932 | − | 0.498426i | \(-0.166089\pi\) |
−0.616730 | + | 0.787175i | \(0.711543\pi\) | |||||||
\(720\) | −36.8011 | − | 99.7600i | −0.0511126 | − | 0.138556i | ||||
\(721\) | 15.8658 | + | 4.65861i | 0.0220052 | + | 0.00646132i | ||||
\(722\) | −379.607 | − | 590.680i | −0.525771 | − | 0.818116i | ||||
\(723\) | −113.344 | + | 788.323i | −0.156769 | + | 1.09035i | ||||
\(724\) | −357.101 | − | 163.082i | −0.493233 | − | 0.225252i | ||||
\(725\) | −7.39374 | + | 1029.58i | −0.0101983 | + | 1.42011i | ||||
\(726\) | −46.5121 | + | 323.499i | −0.0640663 | + | 0.445591i | ||||
\(727\) | −1027.00 | + | 660.010i | −1.41265 | + | 0.907854i | −0.999995 | − | 0.00303449i | \(-0.999034\pi\) |
−0.412653 | + | 0.910888i | \(0.635398\pi\) | |||||||
\(728\) | 26.3460 | + | 7.73589i | 0.0361896 | + | 0.0106262i | ||||
\(729\) | 71.2396 | + | 495.483i | 0.0977224 | + | 0.679674i | ||||
\(730\) | 542.205 | + | 408.936i | 0.742747 | + | 0.560186i | ||||
\(731\) | 99.1154 | + | 63.6976i | 0.135589 | + | 0.0871376i | ||||
\(732\) | 275.229 | − | 317.631i | 0.375996 | − | 0.433922i | ||||
\(733\) | −380.929 | + | 111.851i | −0.519685 | + | 0.152593i | −0.531047 | − | 0.847342i | \(-0.678201\pi\) |
0.0113626 | + | 0.999935i | \(0.496383\pi\) | |||||||
\(734\) | −623.867 | + | 284.910i | −0.849955 | + | 0.388161i | ||||
\(735\) | 97.8725 | + | 457.821i | 0.133160 | + | 0.622885i | ||||
\(736\) | −129.084 | + | 16.2922i | −0.175385 | + | 0.0221361i | ||||
\(737\) | − | 83.7633i | − | 0.113654i | ||||||
\(738\) | 251.987 | − | 115.079i | 0.341446 | − | 0.155933i | ||||
\(739\) | −619.307 | + | 181.845i | −0.838034 | + | 0.246069i | −0.672465 | − | 0.740129i | \(-0.734764\pi\) |
−0.165569 | + | 0.986198i | \(0.552946\pi\) | |||||||
\(740\) | −330.476 | + | 600.089i | −0.446589 | + | 0.810931i | ||||
\(741\) | 638.976 | − | 994.267i | 0.862316 | − | 1.34179i | ||||
\(742\) | −39.0395 | + | 33.8279i | −0.0526138 | + | 0.0455901i | ||||
\(743\) | −117.493 | − | 817.179i | −0.158133 | − | 1.09984i | −0.902071 | − | 0.431588i | \(-0.857953\pi\) |
0.743938 | − | 0.668249i | \(-0.232956\pi\) | |||||||
\(744\) | −194.398 | − | 57.0805i | −0.261288 | − | 0.0767211i | ||||
\(745\) | 60.7690 | + | 61.2070i | 0.0815692 | + | 0.0821570i | ||||
\(746\) | −259.211 | − | 37.2689i | −0.347468 | − | 0.0499583i | ||||
\(747\) | 197.955 | − | 433.461i | 0.265000 | − | 0.580270i | ||||
\(748\) | −5.05641 | − | 2.30919i | −0.00675991 | − | 0.00308715i | ||||
\(749\) | 5.64088 | − | 39.2332i | 0.00753122 | − | 0.0523808i | ||||
\(750\) | 121.981 | − | 316.588i | 0.162642 | − | 0.422117i | ||||
\(751\) | −151.218 | + | 515.000i | −0.201355 | + | 0.685752i | 0.795460 | + | 0.606006i | \(0.207229\pi\) |
−0.996815 | + | 0.0797462i | \(0.974589\pi\) | |||||||
\(752\) | −240.626 | + | 34.5968i | −0.319981 | + | 0.0460064i | ||||
\(753\) | −270.742 | − | 312.453i | −0.359551 | − | 0.414944i | ||||
\(754\) | −1030.41 | − | 662.203i | −1.36659 | − | 0.878254i | ||||
\(755\) | 107.460 | − | 195.129i | 0.142331 | − | 0.258449i | ||||
\(756\) | −7.14702 | − | 24.3405i | −0.00945373 | − | 0.0321964i | ||||
\(757\) | −154.255 | − | 337.772i | −0.203772 | − | 0.446198i | 0.779963 | − | 0.625826i | \(-0.215238\pi\) |
−0.983735 | + | 0.179628i | \(0.942511\pi\) | |||||||
\(758\) | −468.591 | −0.618194 | ||||||||
\(759\) | −28.1217 | − | 18.7659i | −0.0370510 | − | 0.0247245i | ||||
\(760\) | 404.972 | − | 86.5747i | 0.532859 | − | 0.113914i | ||||
\(761\) | −254.242 | − | 556.712i | −0.334089 | − | 0.731553i | 0.665805 | − | 0.746126i | \(-0.268088\pi\) |
−0.999894 | + | 0.0145732i | \(0.995361\pi\) | |||||||
\(762\) | 99.5076 | + | 338.892i | 0.130587 | + | 0.444740i | ||||
\(763\) | 23.9317 | + | 20.7369i | 0.0313652 | + | 0.0271781i | ||||
\(764\) | −354.636 | + | 551.825i | −0.464183 | + | 0.722284i | ||||
\(765\) | −77.0183 | − | 58.0878i | −0.100677 | − | 0.0759318i | ||||
\(766\) | −360.895 | + | 51.8888i | −0.471142 | + | 0.0677400i | ||||
\(767\) | −351.896 | + | 1198.45i | −0.458795 | + | 1.56251i | ||||
\(768\) | −16.6018 | − | 25.8329i | −0.0216169 | − | 0.0336366i | ||||
\(769\) | −187.332 | − | 26.9343i | −0.243605 | − | 0.0350251i | 0.0194308 | − | 0.999811i | \(-0.493815\pi\) |
−0.263036 | + | 0.964786i | \(0.584724\pi\) | |||||||
\(770\) | −0.540187 | + | 2.44097i | −0.000701541 | + | 0.00317009i | ||||
\(771\) | 176.292 | − | 386.025i | 0.228653 | − | 0.500681i | ||||
\(772\) | 108.200 | + | 15.5568i | 0.140156 | + | 0.0201513i | ||||
\(773\) | 487.460 | − | 313.271i | 0.630608 | − | 0.405267i | −0.185927 | − | 0.982564i | \(-0.559529\pi\) |
0.816534 | + | 0.577297i | \(0.195892\pi\) | |||||||
\(774\) | 68.7730 | − | 234.219i | 0.0888540 | − | 0.302609i | ||||
\(775\) | 498.812 | + | 788.561i | 0.643629 | + | 1.01750i | ||||
\(776\) | 147.649 | − | 127.939i | 0.190269 | − | 0.164869i | ||||
\(777\) | −32.8143 | + | 51.0600i | −0.0422320 | + | 0.0657143i | ||||
\(778\) | 96.6365 | − | 111.525i | 0.124211 | − | 0.143348i | ||||
\(779\) | 303.961 | + | 1035.19i | 0.390193 | + | 1.32888i | ||||
\(780\) | 240.713 | + | 323.973i | 0.308606 | + | 0.415349i | ||||
\(781\) | − | 62.3209i | − | 0.0797962i | ||||||
\(782\) | −90.5274 | + | 75.7484i | −0.115764 | + | 0.0968650i | ||||
\(783\) | 1131.61i | 1.44523i | ||||||||
\(784\) | −81.0672 | − | 177.512i | −0.103402 | − | 0.226419i | ||||
\(785\) | 201.944 | − | 109.330i | 0.257253 | − | 0.139274i | ||||
\(786\) | 220.809 | − | 254.828i | 0.280928 | − | 0.324208i | ||||
\(787\) | 1085.19 | + | 697.408i | 1.37889 | + | 0.886160i | 0.999240 | − | 0.0389698i | \(-0.0124076\pi\) |
0.379651 | + | 0.925130i | \(0.376044\pi\) | |||||||
\(788\) | −23.7096 | + | 20.5445i | −0.0300883 | + | 0.0260717i | ||||
\(789\) | −233.918 | + | 33.6324i | −0.296474 | + | 0.0426266i | ||||
\(790\) | 153.335 | + | 11.5202i | 0.194094 | + | 0.0145826i | ||||
\(791\) | 5.35488 | − | 3.44137i | 0.00676976 | − | 0.00435066i | ||||
\(792\) | −1.63906 | + | 11.3999i | −0.00206951 | + | 0.0143938i | ||||
\(793\) | 956.547 | − | 2094.55i | 1.20624 | − | 2.64129i | ||||
\(794\) | 303.868 | − | 665.379i | 0.382706 | − | 0.838008i | ||||
\(795\) | −757.557 | + | 51.4482i | −0.952901 | + | 0.0647147i | ||||
\(796\) | 75.7316 | + | 117.841i | 0.0951402 | + | 0.148041i | ||||
\(797\) | 756.322 | + | 222.076i | 0.948961 | + | 0.278640i | 0.719354 | − | 0.694643i | \(-0.244438\pi\) |
0.229607 | + | 0.973283i | \(0.426256\pi\) | |||||||
\(798\) | 36.3166 | − | 5.22154i | 0.0455095 | − | 0.00654328i | ||||
\(799\) | −166.680 | + | 144.429i | −0.208611 | + | 0.180762i | ||||
\(800\) | −21.1311 | + | 139.834i | −0.0264138 | + | 0.174792i | ||||
\(801\) | 82.6398 | + | 71.6078i | 0.103171 | + | 0.0893980i | ||||
\(802\) | 277.119 | − | 81.3694i | 0.345534 | − | 0.101458i | ||||
\(803\) | −30.5574 | − | 66.9113i | −0.0380540 | − | 0.0833266i | ||||
\(804\) | − | 419.801i | − | 0.522140i | ||||||
\(805\) | 41.8264 | + | 32.6927i | 0.0519582 | + | 0.0406121i | ||||
\(806\) | −1110.02 | −1.37719 | ||||||||
\(807\) | −368.719 | + | 168.388i | −0.456901 | + | 0.208659i | ||||
\(808\) | 72.4265 | + | 246.662i | 0.0896368 | + | 0.305275i | ||||
\(809\) | −452.019 | + | 521.658i | −0.558738 | + | 0.644818i | −0.962897 | − | 0.269871i | \(-0.913019\pi\) |
0.404158 | + | 0.914689i | \(0.367564\pi\) | |||||||
\(810\) | 12.1872 | − | 32.3203i | 0.0150460 | − | 0.0399016i | ||||
\(811\) | 595.381 | + | 687.107i | 0.734133 | + | 0.847234i | 0.992930 | − | 0.118697i | \(-0.0378718\pi\) |
−0.258798 | + | 0.965931i | \(0.583326\pi\) | |||||||
\(812\) | −5.41134 | − | 37.6367i | −0.00666421 | − | 0.0463506i | ||||
\(813\) | −202.608 | + | 690.021i | −0.249211 | + | 0.848735i | ||||
\(814\) | 62.4229 | − | 40.1168i | 0.0766866 | − | 0.0492835i | ||||
\(815\) | 170.303 | − | 11.5659i | 0.208961 | − | 0.0141913i | ||||
\(816\) | −25.3415 | − | 11.5731i | −0.0310557 | − | 0.0141827i | ||||
\(817\) | 864.797 | + | 394.940i | 1.05850 | + | 0.483402i | ||||
\(818\) | −38.5852 | − | 5.54771i | −0.0471701 | − | 0.00678204i | ||||
\(819\) | −27.9041 | − | 43.4197i | −0.0340710 | − | 0.0530155i | ||||
\(820\) | −367.404 | − | 27.6035i | −0.448053 | − | 0.0336628i | ||||
\(821\) | −39.0459 | − | 271.570i | −0.0475589 | − | 0.330780i | −0.999686 | − | 0.0250757i | \(-0.992017\pi\) |
0.952127 | − | 0.305704i | \(-0.0988918\pi\) | |||||||
\(822\) | −110.224 | − | 127.205i | −0.134092 | − | 0.154751i | ||||
\(823\) | 173.052 | − | 269.274i | 0.210270 | − | 0.327186i | −0.720059 | − | 0.693913i | \(-0.755885\pi\) |
0.930329 | + | 0.366727i | \(0.119522\pi\) | |||||||
\(824\) | −76.5684 | − | 66.3469i | −0.0929228 | − | 0.0805180i | ||||
\(825\) | −27.9443 | + | 23.8647i | −0.0338719 | + | 0.0289269i | ||||
\(826\) | −35.2708 | + | 16.1076i | −0.0427007 | + | 0.0195008i | ||||
\(827\) | 16.6960 | 0.0201886 | 0.0100943 | − | 0.999949i | \(-0.496787\pi\) | ||||
0.0100943 | + | 0.999949i | \(0.496787\pi\) | |||||||
\(828\) | 203.428 | + | 135.749i | 0.245686 | + | 0.163949i | ||||
\(829\) | 920.975 | 1.11095 | 0.555474 | − | 0.831534i | \(-0.312537\pi\) | ||||
0.555474 | + | 0.831534i | \(0.312537\pi\) | |||||||
\(830\) | −508.727 | + | 377.986i | −0.612924 | + | 0.455404i | ||||
\(831\) | 159.327 | − | 46.7826i | 0.191729 | − | 0.0562968i | ||||
\(832\) | −127.146 | − | 110.173i | −0.152820 | − | 0.132419i | ||||
\(833\) | −148.940 | − | 95.7177i | −0.178799 | − | 0.114907i | ||||
\(834\) | 217.896 | + | 251.465i | 0.261266 | + | 0.301517i | ||||
\(835\) | 485.031 | − | 178.926i | 0.580875 | − | 0.214282i | ||||
\(836\) | −43.0381 | − | 12.6371i | −0.0514810 | − | 0.0151162i | ||||
\(837\) | 554.439 | + | 862.724i | 0.662412 | + | 1.03073i | ||||
\(838\) | −130.320 | + | 906.399i | −0.155514 | + | 1.08162i | ||||
\(839\) | 1515.92 | + | 692.295i | 1.80681 | + | 0.825144i | 0.951926 | + | 0.306328i | \(0.0991005\pi\) |
0.854886 | + | 0.518815i | \(0.173627\pi\) | |||||||
\(840\) | −2.70728 | + | 12.2335i | −0.00322295 | + | 0.0145637i | ||||
\(841\) | −121.700 | + | 846.445i | −0.144709 | + | 1.00647i | ||||
\(842\) | −109.910 | + | 70.6347i | −0.130534 | + | 0.0838892i | ||||
\(843\) | −141.924 | − | 41.6727i | −0.168356 | − | 0.0494338i | ||||
\(844\) | 59.9086 | + | 416.673i | 0.0709817 | + | 0.493689i | ||||
\(845\) | 1090.80 | + | 822.694i | 1.29089 | + | 0.973602i | ||||
\(846\) | 384.414 | + | 247.048i | 0.454390 | + | 0.292019i | ||||
\(847\) | −36.4013 | + | 42.0093i | −0.0429767 | + | 0.0495978i | ||||
\(848\) | 303.683 | − | 89.1693i | 0.358116 | − | 0.105152i | ||||
\(849\) | −67.9379 | + | 31.0262i | −0.0800211 | + | 0.0365444i | ||||
\(850\) | 52.4593 | + | 117.088i | 0.0617168 | + | 0.137750i | ||||
\(851\) | −197.305 | − | 1563.26i | −0.231851 | − | 1.83697i | ||||
\(852\) | − | 312.337i | − | 0.366592i | ||||||
\(853\) | −819.176 | + | 374.105i | −0.960347 | + | 0.438576i | −0.832994 | − | 0.553282i | \(-0.813375\pi\) |
−0.127353 | + | 0.991857i | \(0.540648\pi\) | |||||||
\(854\) | 68.5864 | − | 20.1388i | 0.0803120 | − | 0.0235817i | ||||
\(855\) | −681.862 | − | 375.509i | −0.797500 | − | 0.439192i | ||||
\(856\) | −131.298 | + | 204.304i | −0.153385 | + | 0.238672i | ||||
\(857\) | −201.037 | + | 174.200i | −0.234583 | + | 0.203267i | −0.764217 | − | 0.644959i | \(-0.776874\pi\) |
0.529635 | + | 0.848226i | \(0.322329\pi\) | |||||||
\(858\) | −6.22148 | − | 43.2713i | −0.00725114 | − | 0.0504328i | ||||
\(859\) | 108.397 | + | 31.8282i | 0.126189 | + | 0.0370526i | 0.344217 | − | 0.938890i | \(-0.388144\pi\) |
−0.218028 | + | 0.975943i | \(0.569962\pi\) | |||||||
\(860\) | −230.395 | + | 228.746i | −0.267901 | + | 0.265984i | ||||
\(861\) | −32.3104 | − | 4.64553i | −0.0375265 | − | 0.00539550i | ||||
\(862\) | 70.1703 | − | 153.651i | 0.0814040 | − | 0.178250i | ||||
\(863\) | −470.364 | − | 214.808i | −0.545033 | − | 0.248908i | 0.123818 | − | 0.992305i | \(-0.460486\pi\) |
−0.668851 | + | 0.743397i | \(0.733214\pi\) | |||||||
\(864\) | −22.1203 | + | 153.850i | −0.0256022 | + | 0.178067i | ||||
\(865\) | 85.0036 | + | 85.6163i | 0.0982701 | + | 0.0989783i | ||||
\(866\) | 304.161 | − | 1035.88i | 0.351225 | − | 1.19616i | ||||
\(867\) | 523.993 | − | 75.3389i | 0.604375 | − | 0.0868960i | ||||
\(868\) | −22.5658 | − | 26.0424i | −0.0259975 | − | 0.0300027i | ||||
\(869\) | −14.0111 | − | 9.00437i | −0.0161232 | − | 0.0103618i | ||||
\(870\) | 269.617 | − | 489.580i | 0.309905 | − | 0.562736i | ||||
\(871\) | −647.976 | − | 2206.81i | −0.743945 | − | 2.53365i | ||||
\(872\) | −80.5990 | − | 176.487i | −0.0924300 | − | 0.202394i | ||||
\(873\) | −367.231 | −0.420654 | ||||||||
\(874\) | −636.067 | + | 708.973i | −0.727766 | + | 0.811182i | ||||
\(875\) | 46.5639 | − | 34.0809i | 0.0532159 | − | 0.0389496i | ||||
\(876\) | −153.146 | − | 335.343i | −0.174824 | − | 0.382811i | ||||
\(877\) | 46.3870 | + | 157.979i | 0.0528928 | + | 0.180136i | 0.981703 | − | 0.190420i | \(-0.0609851\pi\) |
−0.928810 | + | 0.370557i | \(0.879167\pi\) | |||||||
\(878\) | 837.570 | + | 725.758i | 0.953952 | + | 0.826604i | ||||
\(879\) | 373.280 | − | 580.834i | 0.424664 | − | 0.660790i | ||||
\(880\) | 9.22359 | − | 12.2295i | 0.0104814 | − | 0.0138972i | ||||
\(881\) | 57.0841 | − | 8.20745i | 0.0647946 | − | 0.00931606i | −0.109841 | − | 0.993949i | \(-0.535034\pi\) |
0.174636 | + | 0.984633i | \(0.444125\pi\) | |||||||
\(882\) | −103.344 | + | 351.959i | −0.117170 | + | 0.399046i | ||||
\(883\) | 733.232 | + | 1140.93i | 0.830388 | + | 1.29211i | 0.954009 | + | 0.299779i | \(0.0969129\pi\) |
−0.123621 | + | 0.992329i | \(0.539451\pi\) | |||||||
\(884\) | −151.078 | − | 21.7218i | −0.170903 | − | 0.0245722i | ||||
\(885\) | −556.488 | − | 123.151i | −0.628799 | − | 0.139153i | ||||
\(886\) | 228.014 | − | 499.281i | 0.257352 | − | 0.563522i | ||||
\(887\) | 784.995 | + | 112.865i | 0.885000 | + | 0.127244i | 0.569802 | − | 0.821782i | \(-0.307020\pi\) |
0.315198 | + | 0.949026i | \(0.397929\pi\) | |||||||
\(888\) | 312.848 | − | 201.055i | 0.352306 | − | 0.226413i | ||||
\(889\) | −16.9242 | + | 57.6385i | −0.0190373 | + | 0.0648352i | ||||
\(890\) | −50.3343 | − | 136.446i | −0.0565553 | − | 0.153310i | ||||
\(891\) | −2.82751 | + | 2.45005i | −0.00317341 | + | 0.00274977i | ||||
\(892\) | −271.537 | + | 422.519i | −0.304413 | + | 0.473676i | ||||
\(893\) | −1165.44 | + | 1344.99i | −1.30508 | + | 1.50614i | ||||
\(894\) | −13.1908 | − | 44.9237i | −0.0147548 | − | 0.0502502i | ||||
\(895\) | −93.1938 | − | 125.429i | −0.104127 | − | 0.140144i | ||||
\(896\) | − | 5.22273i | − | 0.00582894i | ||||||
\(897\) | −886.056 | − | 276.857i | −0.987799 | − | 0.308648i | ||||
\(898\) | − | 828.991i | − | 0.923153i | ||||||
\(899\) | 638.549 | + | 1398.23i | 0.710288 | + | 1.55531i | ||||
\(900\) | 202.145 | − | 172.634i | 0.224605 | − | 0.191815i | ||||
\(901\) | 188.039 | − | 217.008i | 0.208700 | − | 0.240853i | ||||
\(902\) | 33.5718 | + | 21.5753i | 0.0372193 | + | 0.0239194i | ||||
\(903\) | −21.7386 | + | 18.8366i | −0.0240737 | + | 0.0208600i | ||||
\(904\) | −38.6040 | + | 5.55042i | −0.0427035 | + | 0.00613984i | ||||
\(905\) | 73.5299 | − | 978.685i | 0.0812485 | − | 1.08142i | ||||
\(906\) | −101.728 | + | 65.3763i | −0.112282 | + | 0.0721593i | ||||
\(907\) | 77.0498 | − | 535.893i | 0.0849502 | − | 0.590841i | −0.902233 | − | 0.431249i | \(-0.858073\pi\) |
0.987183 | − | 0.159592i | \(-0.0510179\pi\) | |||||||
\(908\) | −252.489 | + | 552.873i | −0.278071 | + | 0.608891i | ||||
\(909\) | 200.738 | − | 439.555i | 0.220834 | − | 0.483558i | ||||
\(910\) | 4.65124 | + | 68.4879i | 0.00511126 | + | 0.0752614i | ||||
\(911\) | 439.399 | + | 683.718i | 0.482326 | + | 0.750514i | 0.994084 | − | 0.108616i | \(-0.0346419\pi\) |
−0.511758 | + | 0.859130i | \(0.671005\pi\) | |||||||
\(912\) | −215.696 | − | 63.3341i | −0.236509 | − | 0.0694453i | ||||
\(913\) | 67.9480 | − | 9.76945i | 0.0744228 | − | 0.0107004i | ||||
\(914\) | −651.116 | + | 564.195i | −0.712380 | + | 0.617281i | ||||
\(915\) | 983.142 | + | 370.720i | 1.07447 | + | 0.405158i | ||||
\(916\) | −411.983 | − | 356.985i | −0.449763 | − | 0.389722i | ||||
\(917\) | 55.0252 | − | 16.1569i | 0.0600057 | − | 0.0176193i | ||||
\(918\) | 58.5791 | + | 128.270i | 0.0638116 | + | 0.139728i | ||||
\(919\) | − | 897.818i | − | 0.976951i | −0.872578 | − | 0.488475i | \(-0.837553\pi\) | ||
0.872578 | − | 0.488475i | \(-0.162447\pi\) | |||||||
\(920\) | −149.902 | − | 288.668i | −0.162937 | − | 0.313770i | ||||
\(921\) | 644.451 | 0.699730 | ||||||||
\(922\) | 737.385 | − | 336.752i | 0.799767 | − | 0.365241i | ||||
\(923\) | −482.102 | − | 1641.89i | −0.522321 | − | 1.77886i | ||||
\(924\) | 0.888719 | − | 1.02564i | 0.000961818 | − | 0.00111000i | ||||
\(925\) | −1693.45 | − | 255.907i | −1.83076 | − | 0.276656i | ||||
\(926\) | 59.7333 | + | 68.9359i | 0.0645068 | + | 0.0744449i | ||||
\(927\) | 27.1024 | + | 188.502i | 0.0292367 | + | 0.203346i | ||||
\(928\) | −65.6363 | + | 223.537i | −0.0707288 | + | 0.240880i | ||||
\(929\) | 1253.59 | − | 805.631i | 1.34939 | − | 0.867202i | 0.351768 | − | 0.936087i | \(-0.385581\pi\) |
0.997625 | + | 0.0688852i | \(0.0219442\pi\) | |||||||
\(930\) | −34.3200 | − | 505.349i | −0.0369032 | − | 0.543386i | ||||
\(931\) | −1299.52 | − | 593.471i | −1.39583 | − | 0.637456i | ||||
\(932\) | −564.640 | − | 257.862i | −0.605837 | − | 0.276676i | ||||
\(933\) | −998.044 | − | 143.497i | −1.06971 | − | 0.153802i | ||||
\(934\) | 54.8819 | + | 85.3978i | 0.0587600 | + | 0.0914324i | ||||
\(935\) | 1.04116 | − | 13.8578i | 0.00111354 | − | 0.0148212i | ||||
\(936\) | 45.0051 | + | 313.018i | 0.0480824 | + | 0.334421i | ||||
\(937\) | −157.236 | − | 181.460i | −0.167808 | − | 0.193661i | 0.665617 | − | 0.746294i | \(-0.268169\pi\) |
−0.833425 | + | 0.552633i | \(0.813623\pi\) | |||||||
\(938\) | 38.6014 | − | 60.0650i | 0.0411529 | − | 0.0640352i | ||||
\(939\) | −280.042 | − | 242.658i | −0.298234 | − | 0.258421i | ||||
\(940\) | −289.347 | − | 534.452i | −0.307816 | − | 0.568566i | ||||
\(941\) | −1062.40 | + | 485.184i | −1.12902 | + | 0.515605i | −0.890250 | − | 0.455472i | \(-0.849470\pi\) |
−0.238767 | + | 0.971077i | \(0.576743\pi\) | |||||||
\(942\) | −124.657 | −0.132333 | ||||||||
\(943\) | 720.683 | − | 445.780i | 0.764245 | − | 0.472726i | ||||
\(944\) | 237.575 | 0.251669 | ||||||||
\(945\) | 50.9067 | − | 37.8238i | 0.0538695 | − | 0.0400252i | ||||
\(946\) | 33.7410 | − | 9.90725i | 0.0356670 | − | 0.0104728i | ||||
\(947\) | −243.880 | − | 211.324i | −0.257530 | − | 0.223151i | 0.516521 | − | 0.856275i | \(-0.327227\pi\) |
−0.774050 | + | 0.633124i | \(0.781772\pi\) | |||||||
\(948\) | −70.2200 | − | 45.1276i | −0.0740717 | − | 0.0476030i | ||||
\(949\) | −1322.67 | − | 1526.44i | −1.39375 | − | 1.60847i | ||||
\(950\) | 553.461 | + | 874.953i | 0.582590 | + | 0.921003i | ||||
\(951\) | 210.358 | + | 61.7666i | 0.221196 | + | 0.0649491i | ||||
\(952\) | −2.56169 | − | 3.98607i | −0.00269085 | − | 0.00418705i | ||||
\(953\) | 120.092 | − | 835.260i | 0.126015 | − | 0.876453i | −0.824520 | − | 0.565834i | \(-0.808554\pi\) |
0.950534 | − | 0.310619i | \(-0.100536\pi\) | |||||||
\(954\) | −541.166 | − | 247.142i | −0.567260 | − | 0.259059i | ||||
\(955\) | −1601.15 | − | 354.335i | −1.67660 | − | 0.371031i | ||||
\(956\) | 81.7591 | − | 568.647i | 0.0855220 | − | 0.594819i | ||||
\(957\) | −50.9275 | + | 32.7291i | −0.0532157 | + | 0.0341997i | ||||
\(958\) | −306.021 | − | 89.8557i | −0.319437 | − | 0.0937951i | ||||
\(959\) | −4.07407 | − | 28.3357i | −0.00424824 | − | 0.0295472i | ||||
\(960\) | 46.2263 | − | 61.2912i | 0.0481524 | − | 0.0638450i | ||||
\(961\) | 363.444 | + | 233.571i | 0.378194 | + | 0.243050i | ||||
\(962\) | 1334.24 | − | 1539.80i | 1.38695 | − | 1.60062i | ||||
\(963\) | 438.003 | − | 128.609i | 0.454832 | − | 0.133551i | ||||
\(964\) | 754.948 | − | 344.773i | 0.783141 | − | 0.357649i | ||||
\(965\) | 57.1311 | + | 267.243i | 0.0592032 | + | 0.276936i | ||||
\(966\) | −11.5174 | − | 26.4162i | −0.0119228 | − | 0.0273460i | ||||
\(967\) | − | 1596.39i | − | 1.65087i | −0.564496 | − | 0.825436i | \(-0.690929\pi\) | ||
0.564496 | − | 0.825436i | \(-0.309071\pi\) | |||||||
\(968\) | 309.803 | − | 141.482i | 0.320044 | − | 0.146159i | ||||
\(969\) | −195.687 | + | 57.4590i | −0.201948 | + | 0.0592972i | ||||
\(970\) | 427.832 | + | 235.612i | 0.441064 | + | 0.242899i | ||||
\(971\) | 97.9480 | − | 152.410i | 0.100873 | − | 0.156962i | −0.787148 | − | 0.616764i | \(-0.788443\pi\) |
0.888021 | + | 0.459802i | \(0.152080\pi\) | |||||||
\(972\) | 359.609 | − | 311.603i | 0.369968 | − | 0.320579i | ||||
\(973\) | 8.05383 | + | 56.0156i | 0.00827731 | + | 0.0575700i | ||||
\(974\) | 359.889 | + | 105.673i | 0.369496 | + | 0.108494i | ||||
\(975\) | −551.601 | + | 844.906i | −0.565745 | + | 0.866570i | ||||
\(976\) | −433.516 | − | 62.3302i | −0.444177 | − | 0.0638630i | ||||
\(977\) | −514.186 | + | 1125.91i | −0.526290 | + | 1.15242i | 0.440712 | + | 0.897649i | \(0.354726\pi\) |
−0.967003 | + | 0.254767i | \(0.918001\pi\) | |||||||
\(978\) | −84.2867 | − | 38.4925i | −0.0861828 | − | 0.0393583i | ||||
\(979\) | −2.24180 | + | 15.5921i | −0.00228989 | + | 0.0159265i | ||||
\(980\) | 346.212 | − | 343.735i | 0.353277 | − | 0.350750i | ||||
\(981\) | −102.747 | + | 349.926i | −0.104737 | + | 0.356703i | ||||
\(982\) | −1022.68 | + | 147.039i | −1.04142 | + | 0.149734i | ||||
\(983\) | 413.096 | + | 476.738i | 0.420240 | + | 0.484982i | 0.925910 | − | 0.377744i | \(-0.123300\pi\) |
−0.505670 | + | 0.862727i | \(0.668755\pi\) | |||||||
\(984\) | 168.253 | + | 108.130i | 0.170989 | + | 0.109888i | ||||
\(985\) | −68.7015 | − | 37.8347i | −0.0697478 | − | 0.0384109i | ||||
\(986\) | 59.5476 | + | 202.800i | 0.0603931 | + | 0.205680i | ||||
\(987\) | −22.3680 | − | 48.9790i | −0.0226626 | − | 0.0496241i | ||||
\(988\) | −1231.63 | −1.24659 | ||||||||
\(989\) | 119.004 | − | 737.184i | 0.120327 | − | 0.745383i | ||||
\(990\) | −28.1566 | + | 6.01928i | −0.0284410 | + | 0.00608008i | ||||
\(991\) | 549.331 | + | 1202.87i | 0.554320 | + | 1.21379i | 0.954735 | + | 0.297457i | \(0.0961385\pi\) |
−0.400415 | + | 0.916334i | \(0.631134\pi\) | |||||||
\(992\) | 59.4829 | + | 202.580i | 0.0599626 | + | 0.204214i | ||||
\(993\) | 192.220 | + | 166.560i | 0.193575 | + | 0.167734i | ||||
\(994\) | 28.7199 | − | 44.6891i | 0.0288933 | − | 0.0449588i | ||||
\(995\) | −210.868 | + | 279.589i | −0.211928 | + | 0.280994i | ||||
\(996\) | 340.538 | − | 48.9620i | 0.341906 | − | 0.0491587i | ||||
\(997\) | 103.237 | − | 351.594i | 0.103548 | − | 0.352652i | −0.891378 | − | 0.453261i | \(-0.850261\pi\) |
0.994926 | + | 0.100608i | \(0.0320789\pi\) | |||||||
\(998\) | −673.600 | − | 1048.14i | −0.674950 | − | 1.05024i | ||||
\(999\) | −1863.19 | − | 267.886i | −1.86506 | − | 0.268155i |
(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 | 230.3.i.a.19.8 | ✓ | 240 | |
5.4 | even | 2 | inner | 230.3.i.a.19.17 | yes | 240 | |
23.17 | odd | 22 | inner | 230.3.i.a.109.17 | yes | 240 | |
115.109 | odd | 22 | inner | 230.3.i.a.109.8 | yes | 240 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
230.3.i.a.19.8 | ✓ | 240 | 1.1 | even | 1 | trivial | |
230.3.i.a.19.17 | yes | 240 | 5.4 | even | 2 | inner | |
230.3.i.a.109.8 | yes | 240 | 115.109 | odd | 22 | inner | |
230.3.i.a.109.17 | yes | 240 | 23.17 | odd | 22 | inner |