Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [348,3,Mod(11,348)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(348, base_ring=CyclotomicField(28))
chi = DirichletCharacter(H, H._module([14, 14, 25]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("348.11");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 348 = 2^{2} \cdot 3 \cdot 29 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 348.v (of order \(28\), degree \(12\), 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: | \(9.48231319974\) |
Analytic rank: | \(0\) |
Dimension: | \(1392\) |
Relative dimension: | \(116\) over \(\Q(\zeta_{28})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{28}]$ |
Embedding invariants
Embedding label | 95.15 | ||
Character | \(\chi\) | \(=\) | 348.95 |
Dual form | 348.3.v.a.11.15 |
$q$-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 \(\left(\mathbb{Z}/348\mathbb{Z}\right)^\times\).
\(n\) | \(175\) | \(205\) | \(233\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{3}{28}\right)\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.83763 | − | 0.789374i | −0.918816 | − | 0.394687i | ||||
\(3\) | −0.725631 | + | 2.91092i | −0.241877 | + | 0.970307i | ||||
\(4\) | 2.75378 | + | 2.90116i | 0.688445 | + | 0.725289i | ||||
\(5\) | −7.68944 | + | 3.70304i | −1.53789 | + | 0.740608i | −0.995064 | − | 0.0992385i | \(-0.968359\pi\) |
−0.542824 | + | 0.839846i | \(0.682645\pi\) | |||||||
\(6\) | 3.63125 | − | 4.77641i | 0.605208 | − | 0.796068i | ||||
\(7\) | 7.69057 | − | 6.13302i | 1.09865 | − | 0.876146i | 0.105669 | − | 0.994401i | \(-0.466301\pi\) |
0.992983 | + | 0.118255i | \(0.0377300\pi\) | |||||||
\(8\) | −2.77034 | − | 7.50501i | −0.346292 | − | 0.938127i | ||||
\(9\) | −7.94692 | − | 4.22451i | −0.882991 | − | 0.469390i | ||||
\(10\) | 17.0534 | − | 0.734981i | 1.70534 | − | 0.0734981i | ||||
\(11\) | 0.306041 | − | 0.487062i | 0.0278219 | − | 0.0442783i | −0.832524 | − | 0.553989i | \(-0.813105\pi\) |
0.860346 | + | 0.509711i | \(0.170248\pi\) | |||||||
\(12\) | −10.4433 | + | 5.91086i | −0.870272 | + | 0.492572i | ||||
\(13\) | −21.9986 | + | 5.02105i | −1.69220 | + | 0.386234i | −0.956652 | − | 0.291234i | \(-0.905934\pi\) |
−0.735551 | + | 0.677469i | \(0.763077\pi\) | |||||||
\(14\) | −18.9737 | + | 5.19951i | −1.35526 | + | 0.371393i | ||||
\(15\) | −5.19955 | − | 25.0704i | −0.346637 | − | 1.67136i | ||||
\(16\) | −0.833404 | + | 15.9783i | −0.0520877 | + | 0.998643i | ||||
\(17\) | 8.45359 | − | 8.45359i | 0.497270 | − | 0.497270i | −0.413317 | − | 0.910587i | \(-0.635630\pi\) |
0.910587 | + | 0.413317i | \(0.135630\pi\) | |||||||
\(18\) | 11.2688 | + | 14.0362i | 0.626044 | + | 0.779788i | ||||
\(19\) | 0.492487 | + | 4.37094i | 0.0259204 | + | 0.230050i | 0.999993 | + | 0.00381295i | \(0.00121370\pi\) |
−0.974072 | + | 0.226237i | \(0.927358\pi\) | |||||||
\(20\) | −31.9181 | − | 12.1109i | −1.59591 | − | 0.605545i | ||||
\(21\) | 12.2722 | + | 26.8370i | 0.584392 | + | 1.27795i | ||||
\(22\) | −0.946865 | + | 0.653459i | −0.0430393 | + | 0.0297027i | ||||
\(23\) | −0.0694880 | − | 0.0334637i | −0.00302122 | − | 0.00145494i | 0.432373 | − | 0.901695i | \(-0.357677\pi\) |
−0.435394 | + | 0.900240i | \(0.643391\pi\) | |||||||
\(24\) | 23.8567 | − | 2.61835i | 0.994031 | − | 0.109098i | ||||
\(25\) | 29.8277 | − | 37.4028i | 1.19311 | − | 1.49611i | ||||
\(26\) | 44.3889 | + | 8.13831i | 1.70726 | + | 0.313012i | ||||
\(27\) | 18.0637 | − | 20.0674i | 0.669028 | − | 0.743237i | ||||
\(28\) | 38.9710 | + | 5.42254i | 1.39182 | + | 0.193662i | ||||
\(29\) | 14.7947 | − | 24.9423i | 0.510161 | − | 0.860079i | ||||
\(30\) | −10.2350 | + | 50.1745i | −0.341168 | + | 1.67248i | ||||
\(31\) | 8.87623 | − | 25.3668i | 0.286330 | − | 0.818285i | −0.707434 | − | 0.706780i | \(-0.750147\pi\) |
0.993764 | − | 0.111505i | \(-0.0355671\pi\) | |||||||
\(32\) | 14.1443 | − | 28.7043i | 0.442010 | − | 0.897010i | ||||
\(33\) | 1.19573 | + | 1.24429i | 0.0362341 | + | 0.0377057i | ||||
\(34\) | −22.2076 | + | 8.86154i | −0.653165 | + | 0.260634i | ||||
\(35\) | −36.4253 | + | 75.6380i | −1.04072 | + | 2.16109i | ||||
\(36\) | −9.62809 | − | 34.6886i | −0.267447 | − | 0.963573i | ||||
\(37\) | 28.5823 | + | 45.4885i | 0.772495 | + | 1.22942i | 0.968548 | + | 0.248825i | \(0.0800445\pi\) |
−0.196054 | + | 0.980593i | \(0.562813\pi\) | |||||||
\(38\) | 2.54530 | − | 8.42094i | 0.0669815 | − | 0.221604i | ||||
\(39\) | 1.34704 | − | 67.6797i | 0.0345394 | − | 1.73538i | ||||
\(40\) | 49.0937 | + | 47.4507i | 1.22734 | + | 1.18627i | ||||
\(41\) | 18.2868 | + | 18.2868i | 0.446019 | + | 0.446019i | 0.894029 | − | 0.448010i | \(-0.147867\pi\) |
−0.448010 | + | 0.894029i | \(0.647867\pi\) | |||||||
\(42\) | −1.36745 | − | 59.0038i | −0.0325584 | − | 1.40485i | ||||
\(43\) | 34.1685 | − | 11.9561i | 0.794617 | − | 0.278049i | 0.0977147 | − | 0.995214i | \(-0.468847\pi\) |
0.696903 | + | 0.717166i | \(0.254561\pi\) | |||||||
\(44\) | 2.25581 | − | 0.453387i | 0.0512685 | − | 0.0103043i | ||||
\(45\) | 76.7509 | + | 3.05637i | 1.70558 | + | 0.0679194i | ||||
\(46\) | 0.101278 | + | 0.116346i | 0.00220170 | + | 0.00252926i | ||||
\(47\) | −36.0606 | − | 22.6584i | −0.767246 | − | 0.482093i | 0.0906709 | − | 0.995881i | \(-0.471099\pi\) |
−0.857917 | + | 0.513788i | \(0.828242\pi\) | |||||||
\(48\) | −45.9068 | − | 14.0203i | −0.956391 | − | 0.292090i | ||||
\(49\) | 10.6273 | − | 46.5614i | 0.216885 | − | 0.950233i | ||||
\(50\) | −84.3372 | + | 45.1873i | −1.68674 | + | 0.903747i | ||||
\(51\) | 18.4735 | + | 30.7419i | 0.362226 | + | 0.602783i | ||||
\(52\) | −75.1462 | − | 49.9946i | −1.44512 | − | 0.961435i | ||||
\(53\) | −8.93509 | − | 18.5539i | −0.168587 | − | 0.350074i | 0.799509 | − | 0.600654i | \(-0.205093\pi\) |
−0.968096 | + | 0.250580i | \(0.919379\pi\) | |||||||
\(54\) | −49.0352 | + | 22.6175i | −0.908059 | + | 0.418842i | ||||
\(55\) | −0.549677 | + | 4.87852i | −0.00999412 | + | 0.0887003i | ||||
\(56\) | −67.3339 | − | 40.7273i | −1.20239 | − | 0.727273i | ||||
\(57\) | −13.0808 | − | 1.73810i | −0.229488 | − | 0.0304930i | ||||
\(58\) | −46.8759 | + | 34.1562i | −0.808206 | + | 0.588900i | ||||
\(59\) | 40.6648 | 0.689234 | 0.344617 | − | 0.938743i | \(-0.388009\pi\) | ||||
0.344617 | + | 0.938743i | \(0.388009\pi\) | |||||||
\(60\) | 58.4147 | − | 84.1230i | 0.973578 | − | 1.40205i | ||||
\(61\) | 7.01993 | − | 62.3036i | 0.115081 | − | 1.02137i | −0.794906 | − | 0.606733i | \(-0.792480\pi\) |
0.909987 | − | 0.414637i | \(-0.136092\pi\) | |||||||
\(62\) | −36.3351 | + | 39.6082i | −0.586051 | + | 0.638842i | ||||
\(63\) | −87.0254 | + | 16.2497i | −1.38135 | + | 0.257932i | ||||
\(64\) | −48.6505 | + | 41.5828i | −0.760164 | + | 0.649732i | ||||
\(65\) | 150.564 | − | 120.071i | 2.31637 | − | 1.84724i | ||||
\(66\) | −1.21509 | − | 3.23042i | −0.0184105 | − | 0.0489457i | ||||
\(67\) | 24.4888 | − | 107.293i | 0.365505 | − | 1.60138i | −0.373465 | − | 0.927644i | \(-0.621830\pi\) |
0.738970 | − | 0.673738i | \(-0.235312\pi\) | |||||||
\(68\) | 47.8045 | + | 1.24586i | 0.703007 | + | 0.0183215i | ||||
\(69\) | 0.147833 | − | 0.177992i | 0.00214250 | − | 0.00257959i | ||||
\(70\) | 126.643 | − | 110.242i | 1.80919 | − | 1.57488i | ||||
\(71\) | 55.7840 | − | 12.7323i | 0.785690 | − | 0.179329i | 0.189189 | − | 0.981941i | \(-0.439414\pi\) |
0.596501 | + | 0.802612i | \(0.296557\pi\) | |||||||
\(72\) | −9.68939 | + | 71.3450i | −0.134575 | + | 0.990903i | ||||
\(73\) | −94.3500 | + | 33.0145i | −1.29247 | + | 0.452253i | −0.886963 | − | 0.461841i | \(-0.847189\pi\) |
−0.405502 | + | 0.914094i | \(0.632903\pi\) | |||||||
\(74\) | −16.6163 | − | 106.153i | −0.224545 | − | 1.43450i | ||||
\(75\) | 87.2327 | + | 113.967i | 1.16310 | + | 1.51956i | ||||
\(76\) | −11.3246 | + | 13.4654i | −0.149008 | + | 0.177176i | ||||
\(77\) | −0.633531 | − | 5.62274i | −0.00822767 | − | 0.0730226i | ||||
\(78\) | −55.8999 | + | 123.307i | −0.716666 | + | 1.58086i | ||||
\(79\) | 44.7532 | + | 71.2243i | 0.566496 | + | 0.901573i | 1.00000 | 0.000421462i | \(0.000134155\pi\) | |
−0.433504 | + | 0.901152i | \(0.642723\pi\) | |||||||
\(80\) | −52.7598 | − | 125.950i | −0.659497 | − | 1.57438i | ||||
\(81\) | 45.3070 | + | 67.1437i | 0.559346 | + | 0.828934i | ||||
\(82\) | −19.1693 | − | 48.0394i | −0.233771 | − | 0.585847i | ||||
\(83\) | 4.38944 | − | 5.50419i | 0.0528848 | − | 0.0663155i | −0.754686 | − | 0.656087i | \(-0.772211\pi\) |
0.807570 | + | 0.589771i | \(0.200782\pi\) | |||||||
\(84\) | −44.0632 | + | 109.507i | −0.524561 | + | 1.30365i | ||||
\(85\) | −33.6994 | + | 96.3073i | −0.396463 | + | 1.13303i | ||||
\(86\) | −72.2270 | − | 5.00086i | −0.839849 | − | 0.0581495i | ||||
\(87\) | 61.8696 | + | 61.1650i | 0.711144 | + | 0.703046i | ||||
\(88\) | −4.50324 | − | 0.947519i | −0.0511732 | − | 0.0107673i | ||||
\(89\) | 16.2611 | − | 46.4714i | 0.182709 | − | 0.522151i | −0.815704 | − | 0.578469i | \(-0.803650\pi\) |
0.998413 | + | 0.0563181i | \(0.0179361\pi\) | |||||||
\(90\) | −138.627 | − | 66.2016i | −1.54030 | − | 0.735573i | ||||
\(91\) | −138.388 | + | 173.533i | −1.52075 | + | 1.90695i | ||||
\(92\) | −0.0942714 | − | 0.293747i | −0.00102469 | − | 0.00319290i | ||||
\(93\) | 67.3999 | + | 44.2450i | 0.724730 | + | 0.475752i | ||||
\(94\) | 48.3801 | + | 70.1030i | 0.514682 | + | 0.745776i | ||||
\(95\) | −19.9727 | − | 31.7864i | −0.210239 | − | 0.334594i | ||||
\(96\) | 73.2924 | + | 62.0018i | 0.763463 | + | 0.645852i | ||||
\(97\) | −16.1070 | − | 142.953i | −0.166051 | − | 1.47375i | −0.749720 | − | 0.661755i | \(-0.769812\pi\) |
0.583669 | − | 0.811992i | \(-0.301617\pi\) | |||||||
\(98\) | −56.2835 | + | 77.1738i | −0.574321 | + | 0.787488i | ||||
\(99\) | −4.48968 | + | 2.57777i | −0.0453503 | + | 0.0260380i | ||||
\(100\) | 190.650 | − | 16.4641i | 1.90650 | − | 0.164641i | ||||
\(101\) | −150.259 | + | 52.5778i | −1.48771 | + | 0.520572i | −0.947166 | − | 0.320744i | \(-0.896067\pi\) |
−0.540543 | + | 0.841316i | \(0.681781\pi\) | |||||||
\(102\) | −9.68070 | − | 71.0748i | −0.0949088 | − | 0.696812i | ||||
\(103\) | −12.9865 | + | 2.96408i | −0.126082 | + | 0.0287774i | −0.285096 | − | 0.958499i | \(-0.592026\pi\) |
0.159014 | + | 0.987276i | \(0.449168\pi\) | |||||||
\(104\) | 98.6266 | + | 151.190i | 0.948333 | + | 1.45375i | ||||
\(105\) | −193.745 | − | 160.917i | −1.84519 | − | 1.53254i | ||||
\(106\) | 1.77344 | + | 41.1484i | 0.0167306 | + | 0.388192i | ||||
\(107\) | 18.2129 | − | 79.7961i | 0.170214 | − | 0.745758i | −0.815696 | − | 0.578481i | \(-0.803646\pi\) |
0.985910 | − | 0.167277i | \(-0.0534973\pi\) | |||||||
\(108\) | 107.962 | − | 2.85547i | 0.999650 | − | 0.0264395i | ||||
\(109\) | −44.7439 | + | 35.6821i | −0.410495 | + | 0.327359i | −0.806869 | − | 0.590730i | \(-0.798840\pi\) |
0.396374 | + | 0.918089i | \(0.370268\pi\) | |||||||
\(110\) | 4.86107 | − | 8.53101i | 0.0441916 | − | 0.0775547i | ||||
\(111\) | −153.154 | + | 50.1930i | −1.37976 | + | 0.452189i | ||||
\(112\) | 91.5858 | + | 127.993i | 0.817731 | + | 1.14280i | ||||
\(113\) | 14.1347 | − | 125.449i | 0.125086 | − | 1.11017i | −0.761681 | − | 0.647952i | \(-0.775626\pi\) |
0.886767 | − | 0.462216i | \(-0.152946\pi\) | |||||||
\(114\) | 22.6657 | + | 13.5197i | 0.198822 | + | 0.118593i | ||||
\(115\) | 0.658241 | 0.00572384 | ||||||||
\(116\) | 113.103 | − | 25.7639i | 0.975023 | − | 0.222103i | ||||
\(117\) | 196.033 | + | 53.0317i | 1.67549 | + | 0.453262i | ||||
\(118\) | −74.7269 | − | 32.0997i | −0.633279 | − | 0.272032i | ||||
\(119\) | 13.1668 | − | 116.859i | 0.110646 | − | 0.982008i | ||||
\(120\) | −173.749 | + | 108.476i | −1.44791 | + | 0.903968i | ||||
\(121\) | 52.3564 | + | 108.719i | 0.432697 | + | 0.898505i | ||||
\(122\) | −62.0808 | + | 108.950i | −0.508859 | + | 0.893030i | ||||
\(123\) | −66.5008 | + | 39.9619i | −0.540657 | + | 0.324893i | ||||
\(124\) | 98.0363 | − | 44.1033i | 0.790615 | − | 0.355672i | ||||
\(125\) | −43.3762 | + | 190.044i | −0.347010 | + | 1.52035i | ||||
\(126\) | 172.748 | + | 38.8345i | 1.37101 | + | 0.308210i | ||||
\(127\) | −161.716 | − | 101.613i | −1.27336 | − | 0.800102i | −0.285940 | − | 0.958248i | \(-0.592306\pi\) |
−0.987416 | + | 0.158145i | \(0.949449\pi\) | |||||||
\(128\) | 122.226 | − | 38.0105i | 0.954891 | − | 0.296957i | ||||
\(129\) | 10.0095 | + | 108.138i | 0.0775927 | + | 0.838276i | ||||
\(130\) | −371.462 | + | 101.795i | −2.85740 | + | 0.783036i | ||||
\(131\) | −125.675 | + | 43.9757i | −0.959353 | + | 0.335692i | −0.764127 | − | 0.645066i | \(-0.776830\pi\) |
−0.195226 | + | 0.980758i | \(0.562544\pi\) | |||||||
\(132\) | −0.317113 | + | 6.89548i | −0.00240237 | + | 0.0522385i | ||||
\(133\) | 30.5946 | + | 30.5946i | 0.230035 | + | 0.230035i | ||||
\(134\) | −129.695 | + | 177.833i | −0.967876 | + | 1.32712i | ||||
\(135\) | −64.5897 | + | 221.198i | −0.478442 | + | 1.63850i | ||||
\(136\) | −86.8636 | − | 40.0250i | −0.638703 | − | 0.294302i | ||||
\(137\) | 59.9893 | + | 95.4725i | 0.437878 | + | 0.696879i | 0.990646 | − | 0.136456i | \(-0.0435712\pi\) |
−0.552768 | + | 0.833335i | \(0.686428\pi\) | |||||||
\(138\) | −0.412164 | + | 0.210388i | −0.00298670 | + | 0.00152455i | ||||
\(139\) | 64.0480 | − | 132.997i | 0.460777 | − | 0.956813i | −0.533072 | − | 0.846070i | \(-0.678963\pi\) |
0.993849 | − | 0.110743i | \(-0.0353231\pi\) | |||||||
\(140\) | −319.745 | + | 102.615i | −2.28389 | + | 0.732963i | ||||
\(141\) | 92.1234 | − | 88.5278i | 0.653357 | − | 0.627857i | ||||
\(142\) | −112.561 | − | 20.6371i | −0.792683 | − | 0.145331i | ||||
\(143\) | −4.28693 | + | 12.2513i | −0.0299785 | + | 0.0856737i | ||||
\(144\) | 74.1234 | − | 123.457i | 0.514746 | − | 0.857343i | ||||
\(145\) | −21.4004 | + | 246.577i | −0.147589 | + | 1.70053i | ||||
\(146\) | 199.441 | + | 13.8089i | 1.36604 | + | 0.0945816i | ||||
\(147\) | 127.825 | + | 64.7218i | 0.869558 | + | 0.440284i | ||||
\(148\) | −53.2598 | + | 208.187i | −0.359864 | + | 1.40667i | ||||
\(149\) | 65.4765 | − | 82.1049i | 0.439439 | − | 0.551040i | −0.511956 | − | 0.859012i | \(-0.671079\pi\) |
0.951395 | + | 0.307972i | \(0.0996503\pi\) | |||||||
\(150\) | −70.3391 | − | 278.288i | −0.468927 | − | 1.85525i | ||||
\(151\) | −241.195 | − | 116.153i | −1.59732 | − | 0.769226i | −0.597840 | − | 0.801616i | \(-0.703974\pi\) |
−0.999475 | + | 0.0323891i | \(0.989688\pi\) | |||||||
\(152\) | 31.4396 | − | 15.8051i | 0.206840 | − | 0.103981i | ||||
\(153\) | −102.892 | + | 31.4677i | −0.672498 | + | 0.205671i | ||||
\(154\) | −3.27425 | + | 10.8326i | −0.0212613 | + | 0.0703417i | ||||
\(155\) | 25.6811 | + | 227.926i | 0.165684 | + | 1.47049i | ||||
\(156\) | 200.059 | − | 182.467i | 1.28243 | − | 1.16966i | ||||
\(157\) | −6.17340 | + | 6.17340i | −0.0393210 | + | 0.0393210i | −0.726494 | − | 0.687173i | \(-0.758851\pi\) |
0.687173 | + | 0.726494i | \(0.258851\pi\) | |||||||
\(158\) | −26.0173 | − | 166.211i | −0.164666 | − | 1.05197i | ||||
\(159\) | 60.4925 | − | 12.5460i | 0.380456 | − | 0.0789059i | ||||
\(160\) | −2.46867 | + | 273.097i | −0.0154292 | + | 1.70686i | ||||
\(161\) | −0.739636 | + | 0.168817i | −0.00459401 | + | 0.00104855i | ||||
\(162\) | −30.2561 | − | 159.150i | −0.186766 | − | 0.982404i | ||||
\(163\) | 122.407 | − | 194.810i | 0.750966 | − | 1.19516i | −0.224386 | − | 0.974500i | \(-0.572038\pi\) |
0.975352 | − | 0.220655i | \(-0.0708196\pi\) | |||||||
\(164\) | −2.69504 | + | 103.411i | −0.0164332 | + | 0.630552i | ||||
\(165\) | −13.8021 | − | 5.14007i | −0.0836491 | − | 0.0311519i | ||||
\(166\) | −12.4110 | + | 6.64976i | −0.0747653 | + | 0.0400588i | ||||
\(167\) | 200.177 | − | 159.635i | 1.19866 | − | 0.955901i | 0.198953 | − | 0.980009i | \(-0.436246\pi\) |
0.999709 | + | 0.0241081i | \(0.00767460\pi\) | |||||||
\(168\) | 167.414 | − | 166.451i | 0.996509 | − | 0.990777i | ||||
\(169\) | 306.466 | − | 147.586i | 1.81341 | − | 0.873290i | ||||
\(170\) | 137.949 | − | 150.376i | 0.811468 | − | 0.884564i | ||||
\(171\) | 14.5513 | − | 36.8160i | 0.0850956 | − | 0.215298i | ||||
\(172\) | 128.779 | + | 66.2038i | 0.748716 | + | 0.384906i | ||||
\(173\) | −222.375 | −1.28540 | −0.642702 | − | 0.766116i | \(-0.722187\pi\) | ||||
−0.642702 | + | 0.766116i | \(0.722187\pi\) | |||||||
\(174\) | −65.4114 | − | 161.237i | −0.375928 | − | 0.926649i | ||||
\(175\) | − | 470.583i | − | 2.68905i | ||||||
\(176\) | 7.52735 | + | 5.29593i | 0.0427691 | + | 0.0300905i | ||||
\(177\) | −29.5077 | + | 118.372i | −0.166710 | + | 0.668769i | ||||
\(178\) | −66.5651 | + | 72.5613i | −0.373962 | + | 0.407648i | ||||
\(179\) | 39.4401 | + | 81.8982i | 0.220336 | + | 0.457532i | 0.981610 | − | 0.190899i | \(-0.0611401\pi\) |
−0.761274 | + | 0.648430i | \(0.775426\pi\) | |||||||
\(180\) | 202.488 | + | 231.083i | 1.12493 | + | 1.28379i | ||||
\(181\) | −38.8145 | − | 48.6718i | −0.214445 | − | 0.268905i | 0.662961 | − | 0.748654i | \(-0.269299\pi\) |
−0.877406 | + | 0.479749i | \(0.840728\pi\) | |||||||
\(182\) | 391.288 | − | 209.650i | 2.14994 | − | 1.15192i | ||||
\(183\) | 176.267 | + | 65.6439i | 0.963207 | + | 0.358710i | ||||
\(184\) | −0.0586402 | + | 0.614214i | −0.000318697 | + | 0.00333812i | ||||
\(185\) | −388.228 | − | 243.940i | −2.09853 | − | 1.31859i | ||||
\(186\) | −88.9304 | − | 134.510i | −0.478121 | − | 0.723170i | ||||
\(187\) | −1.53027 | − | 6.70457i | −0.00818328 | − | 0.0358533i | ||||
\(188\) | −33.5674 | − | 167.013i | −0.178550 | − | 0.888369i | ||||
\(189\) | 15.8466 | − | 265.115i | 0.0838445 | − | 1.40273i | ||||
\(190\) | 11.6112 | + | 74.1776i | 0.0611113 | + | 0.390409i | ||||
\(191\) | −67.5908 | − | 67.5908i | −0.353878 | − | 0.353878i | 0.507672 | − | 0.861550i | \(-0.330506\pi\) |
−0.861550 | + | 0.507672i | \(0.830506\pi\) | |||||||
\(192\) | −85.7420 | − | 171.791i | −0.446573 | − | 0.894747i | ||||
\(193\) | 86.9918 | − | 9.80163i | 0.450735 | − | 0.0507856i | 0.116320 | − | 0.993212i | \(-0.462890\pi\) |
0.334414 | + | 0.942426i | \(0.391461\pi\) | |||||||
\(194\) | −83.2450 | + | 275.410i | −0.429098 | + | 1.41964i | ||||
\(195\) | 240.263 | + | 525.407i | 1.23212 | + | 2.69440i | ||||
\(196\) | 164.347 | − | 97.3883i | 0.838506 | − | 0.496879i | ||||
\(197\) | 61.8397 | − | 128.411i | 0.313907 | − | 0.651835i | −0.683000 | − | 0.730418i | \(-0.739325\pi\) |
0.996908 | + | 0.0785831i | \(0.0250396\pi\) | |||||||
\(198\) | 10.2852 | − | 1.19295i | 0.0519455 | − | 0.00602499i | ||||
\(199\) | 56.3787 | + | 44.9605i | 0.283310 | + | 0.225932i | 0.754826 | − | 0.655926i | \(-0.227721\pi\) |
−0.471516 | + | 0.881858i | \(0.656293\pi\) | |||||||
\(200\) | −363.341 | − | 120.239i | −1.81671 | − | 0.601197i | ||||
\(201\) | 294.550 | + | 149.140i | 1.46542 | + | 0.741990i | ||||
\(202\) | 317.624 | + | 21.9916i | 1.57239 | + | 0.108869i | ||||
\(203\) | −39.1923 | − | 282.556i | −0.193065 | − | 1.39190i | ||||
\(204\) | −38.3150 | + | 138.251i | −0.187819 | + | 0.677701i | ||||
\(205\) | −208.332 | − | 72.8984i | −1.01625 | − | 0.355602i | ||||
\(206\) | 26.2041 | + | 4.80429i | 0.127204 | + | 0.0233218i | ||||
\(207\) | 0.410848 | + | 0.559486i | 0.00198477 | + | 0.00270283i | ||||
\(208\) | −61.8939 | − | 355.685i | −0.297567 | − | 1.71002i | ||||
\(209\) | 2.27964 | + | 1.09782i | 0.0109074 | + | 0.00525271i | ||||
\(210\) | 229.008 | + | 448.642i | 1.09052 | + | 2.13639i | ||||
\(211\) | −123.468 | + | 77.5804i | −0.585159 | + | 0.367680i | −0.791840 | − | 0.610729i | \(-0.790877\pi\) |
0.206681 | + | 0.978408i | \(0.433734\pi\) | |||||||
\(212\) | 29.2225 | − | 77.0154i | 0.137842 | − | 0.363280i | ||||
\(213\) | −3.41581 | + | 171.622i | −0.0160367 | + | 0.805736i | ||||
\(214\) | −96.4576 | + | 132.259i | −0.450736 | + | 0.618033i | ||||
\(215\) | −218.463 | + | 218.463i | −1.01611 | + | 1.01611i | ||||
\(216\) | −200.649 | − | 79.9752i | −0.928930 | − | 0.370256i | ||||
\(217\) | −87.3120 | − | 249.523i | −0.402360 | − | 1.14988i | ||||
\(218\) | 110.389 | − | 30.2509i | 0.506373 | − | 0.138765i | ||||
\(219\) | −27.6392 | − | 298.602i | −0.126207 | − | 1.36348i | ||||
\(220\) | −15.6670 | + | 11.8397i | −0.0712137 | + | 0.0538166i | ||||
\(221\) | −143.522 | + | 228.413i | −0.649419 | + | 1.03354i | ||||
\(222\) | 321.061 | + | 28.6592i | 1.44622 | + | 0.129096i | ||||
\(223\) | −243.225 | − | 55.5144i | −1.09069 | − | 0.248944i | −0.360895 | − | 0.932606i | \(-0.617529\pi\) |
−0.729798 | + | 0.683663i | \(0.760386\pi\) | |||||||
\(224\) | −67.2664 | − | 307.500i | −0.300297 | − | 1.37277i | ||||
\(225\) | −395.047 | + | 171.229i | −1.75577 | + | 0.761020i | ||||
\(226\) | −125.001 | + | 219.372i | −0.553100 | + | 0.970670i | ||||
\(227\) | 10.1838 | − | 4.90426i | 0.0448626 | − | 0.0216047i | −0.411318 | − | 0.911492i | \(-0.634931\pi\) |
0.456181 | + | 0.889887i | \(0.349217\pi\) | |||||||
\(228\) | −30.9792 | − | 42.7359i | −0.135874 | − | 0.187438i | ||||
\(229\) | −246.421 | − | 27.7650i | −1.07608 | − | 0.121245i | −0.443905 | − | 0.896074i | \(-0.646407\pi\) |
−0.632170 | + | 0.774829i | \(0.717836\pi\) | |||||||
\(230\) | −1.20960 | − | 0.519598i | −0.00525915 | − | 0.00225912i | ||||
\(231\) | 16.8271 | + | 2.23588i | 0.0728444 | + | 0.00967913i | ||||
\(232\) | −228.178 | − | 41.9356i | −0.983528 | − | 0.180757i | ||||
\(233\) | − | 242.677i | − | 1.04153i | −0.853699 | − | 0.520767i | \(-0.825646\pi\) | ||
0.853699 | − | 0.520767i | \(-0.174354\pi\) | |||||||
\(234\) | −318.374 | − | 252.196i | −1.36057 | − | 1.07776i | ||||
\(235\) | 361.190 | + | 40.6964i | 1.53698 | + | 0.173176i | ||||
\(236\) | 111.982 | + | 117.975i | 0.474500 | + | 0.499894i | ||||
\(237\) | −239.803 | + | 78.5904i | −1.01183 | + | 0.331605i | ||||
\(238\) | −116.441 | + | 204.350i | −0.489249 | + | 0.858614i | ||||
\(239\) | 184.662 | + | 231.559i | 0.772644 | + | 0.968865i | 0.999988 | − | 0.00494942i | \(-0.00157545\pi\) |
−0.227344 | + | 0.973815i | \(0.573004\pi\) | |||||||
\(240\) | 404.915 | − | 62.1862i | 1.68715 | − | 0.259109i | ||||
\(241\) | 23.3011 | + | 5.31833i | 0.0966851 | + | 0.0220677i | 0.270590 | − | 0.962695i | \(-0.412781\pi\) |
−0.173905 | + | 0.984762i | \(0.555638\pi\) | |||||||
\(242\) | −10.3917 | − | 241.114i | −0.0429410 | − | 0.996340i | ||||
\(243\) | −228.326 | + | 83.1636i | −0.939614 | + | 0.342237i | ||||
\(244\) | 200.084 | − | 151.204i | 0.820015 | − | 0.619690i | ||||
\(245\) | 90.7005 | + | 397.385i | 0.370206 | + | 1.62198i | ||||
\(246\) | 153.749 | − | 20.9413i | 0.624995 | − | 0.0851270i | ||||
\(247\) | −32.7807 | − | 93.6820i | −0.132716 | − | 0.379279i | ||||
\(248\) | −214.968 | + | 3.65834i | −0.866808 | + | 0.0147514i | ||||
\(249\) | 12.8371 | + | 16.7713i | 0.0515547 | + | 0.0673547i | ||||
\(250\) | 229.725 | − | 314.990i | 0.918899 | − | 1.25996i | ||||
\(251\) | −182.375 | + | 20.5488i | −0.726595 | + | 0.0818676i | −0.467511 | − | 0.883987i | \(-0.654849\pi\) |
−0.259084 | + | 0.965855i | \(0.583421\pi\) | |||||||
\(252\) | −286.792 | − | 207.726i | −1.13806 | − | 0.824309i | ||||
\(253\) | −0.0375651 | + | 0.0236037i | −0.000148479 | + | 9.32953e-5i | ||||
\(254\) | 216.964 | + | 314.382i | 0.854189 | + | 1.23772i | ||||
\(255\) | −255.890 | − | 167.980i | −1.00349 | − | 0.658745i | ||||
\(256\) | −254.611 | − | 26.6327i | −0.994574 | − | 0.104034i | ||||
\(257\) | 237.099 | + | 189.080i | 0.922564 | + | 0.735720i | 0.964689 | − | 0.263392i | \(-0.0848414\pi\) |
−0.0421252 | + | 0.999112i | \(0.513413\pi\) | |||||||
\(258\) | 66.9673 | − | 206.618i | 0.259563 | − | 0.800846i | ||||
\(259\) | 498.796 | + | 174.536i | 1.92585 | + | 0.673885i | ||||
\(260\) | 762.964 | + | 106.161i | 2.93448 | + | 0.408312i | ||||
\(261\) | −222.941 | + | 135.714i | −0.854180 | + | 0.519978i | ||||
\(262\) | 265.658 | + | 18.3936i | 1.01396 | + | 0.0702047i | ||||
\(263\) | −134.808 | − | 47.1715i | −0.512580 | − | 0.179359i | 0.0615810 | − | 0.998102i | \(-0.480386\pi\) |
−0.574161 | + | 0.818743i | \(0.694671\pi\) | |||||||
\(264\) | 6.02585 | − | 12.4210i | 0.0228252 | − | 0.0470494i | ||||
\(265\) | 137.412 | + | 109.582i | 0.518535 | + | 0.413518i | ||||
\(266\) | −32.0710 | − | 80.3722i | −0.120568 | − | 0.302151i | ||||
\(267\) | 123.475 | + | 81.0558i | 0.462454 | + | 0.303580i | ||||
\(268\) | 378.709 | − | 224.414i | 1.41309 | − | 0.837366i | ||||
\(269\) | −322.850 | + | 202.860i | −1.20019 | + | 0.754127i | −0.975435 | − | 0.220290i | \(-0.929300\pi\) |
−0.224751 | + | 0.974416i | \(0.572157\pi\) | |||||||
\(270\) | 293.300 | − | 355.495i | 1.08630 | − | 1.31665i | ||||
\(271\) | 380.486 | − | 42.8705i | 1.40401 | − | 0.158194i | 0.622760 | − | 0.782413i | \(-0.286011\pi\) |
0.781249 | + | 0.624219i | \(0.214583\pi\) | |||||||
\(272\) | 128.029 | + | 142.119i | 0.470693 | + | 0.522496i | ||||
\(273\) | −404.722 | − | 528.757i | −1.48250 | − | 1.93684i | ||||
\(274\) | −34.8748 | − | 222.797i | −0.127280 | − | 0.813128i | ||||
\(275\) | −9.08896 | − | 25.9748i | −0.0330508 | − | 0.0944537i | ||||
\(276\) | 0.923481 | − | 0.0612643i | 0.00334595 | − | 0.000221972i | ||||
\(277\) | −55.4239 | − | 242.828i | −0.200086 | − | 0.876635i | −0.970883 | − | 0.239554i | \(-0.922999\pi\) |
0.770797 | − | 0.637081i | \(-0.219858\pi\) | |||||||
\(278\) | −222.681 | + | 193.842i | −0.801010 | + | 0.697272i | ||||
\(279\) | −177.701 | + | 164.090i | −0.636922 | + | 0.588137i | ||||
\(280\) | 668.575 | + | 63.8301i | 2.38777 | + | 0.227965i | ||||
\(281\) | 26.5346 | + | 6.05635i | 0.0944292 | + | 0.0215528i | 0.269474 | − | 0.963008i | \(-0.413150\pi\) |
−0.175045 | + | 0.984560i | \(0.556007\pi\) | |||||||
\(282\) | −239.170 | + | 89.9618i | −0.848122 | + | 0.319013i | ||||
\(283\) | −237.196 | − | 297.434i | −0.838148 | − | 1.05100i | −0.997959 | − | 0.0638570i | \(-0.979660\pi\) |
0.159811 | − | 0.987148i | \(-0.448912\pi\) | |||||||
\(284\) | 190.555 | + | 126.776i | 0.670969 | + | 0.446394i | ||||
\(285\) | 107.021 | − | 35.0738i | 0.375511 | − | 0.123066i | ||||
\(286\) | 17.5487 | − | 19.1295i | 0.0613591 | − | 0.0668863i | ||||
\(287\) | 252.789 | + | 28.4825i | 0.880798 | + | 0.0992421i | ||||
\(288\) | −233.665 | + | 168.358i | −0.811338 | + | 0.584577i | ||||
\(289\) | 146.074i | 0.505445i | ||||||||
\(290\) | 233.968 | − | 436.226i | 0.806785 | − | 1.50423i | ||||
\(291\) | 427.814 | + | 56.8454i | 1.47015 | + | 0.195345i | ||||
\(292\) | −355.599 | − | 182.809i | −1.21780 | − | 0.626059i | ||||
\(293\) | −247.636 | − | 27.9019i | −0.845174 | − | 0.0952282i | −0.321251 | − | 0.946994i | \(-0.604103\pi\) |
−0.523923 | + | 0.851766i | \(0.675532\pi\) | |||||||
\(294\) | −183.806 | − | 219.837i | −0.625190 | − | 0.747743i | ||||
\(295\) | −312.690 | + | 150.583i | −1.05996 | + | 0.510452i | ||||
\(296\) | 262.209 | − | 340.529i | 0.885842 | − | 1.15044i | ||||
\(297\) | −4.24582 | − | 14.9396i | −0.0142957 | − | 0.0503017i | ||||
\(298\) | −185.133 | + | 99.1932i | −0.621252 | + | 0.332863i | ||||
\(299\) | 1.69666 | + | 0.387253i | 0.00567446 | + | 0.00129516i | ||||
\(300\) | −90.4161 | + | 566.915i | −0.301387 | + | 1.88972i | ||||
\(301\) | 189.449 | − | 301.506i | 0.629397 | − | 1.00168i | ||||
\(302\) | 351.539 | + | 403.839i | 1.16403 | + | 1.33722i | ||||
\(303\) | −44.0173 | − | 475.543i | −0.145272 | − | 1.56945i | ||||
\(304\) | −70.2506 | + | 4.22633i | −0.231087 | + | 0.0139024i | ||||
\(305\) | 176.733 | + | 505.075i | 0.579453 | + | 1.65598i | ||||
\(306\) | 213.918 | + | 23.3944i | 0.699078 | + | 0.0764522i | ||||
\(307\) | −70.3339 | + | 70.3339i | −0.229101 | + | 0.229101i | −0.812317 | − | 0.583216i | \(-0.801794\pi\) |
0.583216 | + | 0.812317i | \(0.301794\pi\) | |||||||
\(308\) | 14.5678 | − | 17.3218i | 0.0472982 | − | 0.0562395i | ||||
\(309\) | 0.795197 | − | 39.9534i | 0.00257345 | − | 0.129299i | ||||
\(310\) | 132.726 | − | 439.115i | 0.428149 | − | 1.41650i | ||||
\(311\) | 142.750 | − | 89.6955i | 0.459002 | − | 0.288410i | −0.282615 | − | 0.959233i | \(-0.591202\pi\) |
0.741617 | + | 0.670823i | \(0.234059\pi\) | |||||||
\(312\) | −511.669 | + | 177.386i | −1.63997 | + | 0.568545i | ||||
\(313\) | 79.8998 | + | 38.4777i | 0.255271 | + | 0.122932i | 0.557143 | − | 0.830416i | \(-0.311897\pi\) |
−0.301872 | + | 0.953348i | \(0.597612\pi\) | |||||||
\(314\) | 16.2176 | − | 6.47132i | 0.0516483 | − | 0.0206093i | ||||
\(315\) | 609.003 | − | 447.210i | 1.93334 | − | 1.41971i | ||||
\(316\) | −83.3923 | + | 325.972i | −0.263900 | + | 1.03156i | ||||
\(317\) | 404.391 | + | 141.503i | 1.27568 | + | 0.446381i | 0.881296 | − | 0.472564i | \(-0.156672\pi\) |
0.394386 | + | 0.918945i | \(0.370957\pi\) | |||||||
\(318\) | −121.066 | − | 24.6962i | −0.380712 | − | 0.0776610i | ||||
\(319\) | −7.62066 | − | 14.8393i | −0.0238892 | − | 0.0465181i | ||||
\(320\) | 220.112 | − | 499.903i | 0.687850 | − | 1.56220i | ||||
\(321\) | 219.064 | + | 110.919i | 0.682443 | + | 0.345542i | ||||
\(322\) | 1.49244 | + | 0.273625i | 0.00463490 | + | 0.000849769i | ||||
\(323\) | 41.1134 | + | 32.7869i | 0.127286 | + | 0.101507i | ||||
\(324\) | −70.0288 | + | 316.342i | −0.216138 | + | 0.976363i | ||||
\(325\) | −468.369 | + | 972.577i | −1.44113 | + | 2.99255i | ||||
\(326\) | −378.718 | + | 261.365i | −1.16171 | + | 0.801732i | ||||
\(327\) | −71.4001 | − | 156.138i | −0.218349 | − | 0.477486i | ||||
\(328\) | 86.5820 | − | 187.903i | 0.263970 | − | 0.572875i | ||||
\(329\) | −416.291 | + | 46.9047i | −1.26532 | + | 0.142567i | ||||
\(330\) | 21.3058 | + | 20.3406i | 0.0645629 | + | 0.0616381i | ||||
\(331\) | 360.365 | + | 360.365i | 1.08872 | + | 1.08872i | 0.995661 | + | 0.0930555i | \(0.0296634\pi\) |
0.0930555 | + | 0.995661i | \(0.470337\pi\) | |||||||
\(332\) | 28.0560 | − | 2.42286i | 0.0845062 | − | 0.00729777i | ||||
\(333\) | −34.9747 | − | 482.240i | −0.105029 | − | 1.44817i | ||||
\(334\) | −493.863 | + | 135.337i | −1.47863 | + | 0.405201i | ||||
\(335\) | 209.003 | + | 915.703i | 0.623890 | + | 2.73344i | ||||
\(336\) | −439.036 | + | 173.723i | −1.30665 | + | 0.517033i | ||||
\(337\) | −140.940 | − | 88.5583i | −0.418219 | − | 0.262784i | 0.306443 | − | 0.951889i | \(-0.400861\pi\) |
−0.724662 | + | 0.689105i | \(0.758004\pi\) | |||||||
\(338\) | −679.671 | + | 29.2929i | −2.01086 | + | 0.0866655i | ||||
\(339\) | 354.916 | + | 132.175i | 1.04695 | + | 0.389896i | ||||
\(340\) | −372.203 | + | 167.442i | −1.09472 | + | 0.492476i | ||||
\(341\) | −9.63872 | − | 12.0866i | −0.0282660 | − | 0.0354445i | ||||
\(342\) | −55.8016 | + | 56.1679i | −0.163163 | + | 0.164234i | ||||
\(343\) | 5.29721 | + | 10.9998i | 0.0154438 | + | 0.0320693i | ||||
\(344\) | −184.389 | − | 223.313i | −0.536014 | − | 0.649166i | ||||
\(345\) | −0.477641 | + | 1.91609i | −0.00138447 | + | 0.00555388i | ||||
\(346\) | 408.643 | + | 175.537i | 1.18105 | + | 0.507332i | ||||
\(347\) | − | 426.386i | − | 1.22878i | −0.789004 | − | 0.614389i | \(-0.789403\pi\) | ||
0.789004 | − | 0.614389i | \(-0.210597\pi\) | |||||||
\(348\) | −7.07409 | + | 347.928i | −0.0203278 | + | 0.999793i | ||||
\(349\) | 481.329 | 1.37916 | 0.689582 | − | 0.724207i | \(-0.257794\pi\) | ||||
0.689582 | + | 0.724207i | \(0.257794\pi\) | |||||||
\(350\) | −371.466 | + | 864.758i | −1.06133 | + | 2.47074i | ||||
\(351\) | −296.619 | + | 532.155i | −0.845067 | + | 1.51611i | ||||
\(352\) | −9.65204 | − | 15.6739i | −0.0274206 | − | 0.0445280i | ||||
\(353\) | 474.052 | − | 228.291i | 1.34292 | − | 0.646717i | 0.382162 | − | 0.924095i | \(-0.375180\pi\) |
0.960761 | + | 0.277378i | \(0.0894654\pi\) | |||||||
\(354\) | 147.664 | − | 194.232i | 0.417130 | − | 0.548677i | ||||
\(355\) | −381.799 | + | 304.475i | −1.07549 | + | 0.857675i | ||||
\(356\) | 179.600 | − | 80.7962i | 0.504495 | − | 0.226956i | ||||
\(357\) | 330.613 | + | 123.124i | 0.926086 | + | 0.344886i | ||||
\(358\) | −7.82808 | − | 181.632i | −0.0218662 | − | 0.507351i | ||||
\(359\) | 80.5738 | − | 128.232i | 0.224440 | − | 0.357194i | −0.715455 | − | 0.698659i | \(-0.753780\pi\) |
0.939894 | + | 0.341466i | \(0.110923\pi\) | |||||||
\(360\) | −189.688 | − | 584.484i | −0.526910 | − | 1.62357i | ||||
\(361\) | 333.086 | − | 76.0248i | 0.922677 | − | 0.210595i | ||||
\(362\) | 32.9065 | + | 120.080i | 0.0909018 | + | 0.331713i | ||||
\(363\) | −354.464 | + | 73.5152i | −0.976485 | + | 0.202521i | ||||
\(364\) | −884.535 | + | 76.3865i | −2.43004 | + | 0.209853i | ||||
\(365\) | 603.244 | − | 603.244i | 1.65272 | − | 1.65272i | ||||
\(366\) | −272.096 | − | 259.770i | −0.743432 | − | 0.709753i | ||||
\(367\) | −66.5956 | − | 591.052i | −0.181459 | − | 1.61050i | −0.673001 | − | 0.739642i | \(-0.734995\pi\) |
0.491541 | − | 0.870854i | \(-0.336434\pi\) | |||||||
\(368\) | 0.592604 | − | 1.08241i | 0.00161034 | − | 0.00294133i | ||||
\(369\) | −68.0708 | − | 222.576i | −0.184474 | − | 0.603187i | ||||
\(370\) | 520.860 | + | 754.728i | 1.40773 | + | 2.03980i | ||||
\(371\) | −182.507 | − | 87.8910i | −0.491934 | − | 0.236903i | ||||
\(372\) | 57.2429 | + | 317.379i | 0.153879 | + | 0.853168i | ||||
\(373\) | 82.7810 | − | 103.804i | 0.221933 | − | 0.278295i | −0.658383 | − | 0.752683i | \(-0.728759\pi\) |
0.880316 | + | 0.474388i | \(0.157331\pi\) | |||||||
\(374\) | −2.48033 | + | 13.5285i | −0.00663189 | + | 0.0361724i | ||||
\(375\) | −521.727 | − | 264.166i | −1.39127 | − | 0.704443i | ||||
\(376\) | −70.1514 | + | 333.406i | −0.186573 | + | 0.886719i | ||||
\(377\) | −200.226 | + | 622.981i | −0.531104 | + | 1.65247i | ||||
\(378\) | −238.395 | + | 474.675i | −0.630675 | + | 1.25575i | ||||
\(379\) | −23.7777 | + | 67.9529i | −0.0627381 | + | 0.179295i | −0.970985 | − | 0.239138i | \(-0.923135\pi\) |
0.908247 | + | 0.418434i | \(0.137421\pi\) | |||||||
\(380\) | 37.2168 | − | 145.477i | 0.0979390 | − | 0.382833i | ||||
\(381\) | 413.134 | − | 397.009i | 1.08434 | − | 1.04202i | ||||
\(382\) | 70.8526 | + | 177.561i | 0.185478 | + | 0.464820i | ||||
\(383\) | −244.618 | + | 507.956i | −0.638691 | + | 1.32625i | 0.290579 | + | 0.956851i | \(0.406152\pi\) |
−0.929269 | + | 0.369403i | \(0.879562\pi\) | |||||||
\(384\) | 21.9545 | + | 383.372i | 0.0571731 | + | 0.998364i | ||||
\(385\) | 25.6927 | + | 40.8897i | 0.0667344 | + | 0.106207i | ||||
\(386\) | −167.596 | − | 50.6573i | −0.434187 | − | 0.131236i | ||||
\(387\) | −322.043 | − | 49.3313i | −0.832153 | − | 0.127471i | ||||
\(388\) | 370.375 | − | 440.391i | 0.954575 | − | 1.13503i | ||||
\(389\) | −227.739 | − | 227.739i | −0.585446 | − | 0.585446i | 0.350949 | − | 0.936395i | \(-0.385859\pi\) |
−0.936395 | + | 0.350949i | \(0.885859\pi\) | |||||||
\(390\) | −26.7717 | − | 1155.16i | −0.0686453 | − | 2.96195i | ||||
\(391\) | −0.870311 | + | 0.304535i | −0.00222586 | + | 0.000778862i | ||||
\(392\) | −378.885 | + | 49.2324i | −0.966545 | + | 0.125593i | ||||
\(393\) | −36.8158 | − | 397.741i | −0.0936788 | − | 1.01206i | ||||
\(394\) | −215.003 | + | 187.158i | −0.545693 | + | 0.475021i | ||||
\(395\) | −607.873 | − | 381.952i | −1.53892 | − | 0.966967i | ||||
\(396\) | −19.8421 | − | 5.92667i | −0.0501063 | − | 0.0149663i | ||||
\(397\) | 7.72345 | − | 33.8386i | 0.0194545 | − | 0.0852358i | −0.964269 | − | 0.264926i | \(-0.914652\pi\) |
0.983723 | + | 0.179690i | \(0.0575096\pi\) | |||||||
\(398\) | −68.1126 | − | 127.125i | −0.171137 | − | 0.319409i | ||||
\(399\) | −111.259 | + | 66.8581i | −0.278844 | + | 0.167564i | ||||
\(400\) | 572.774 | + | 507.768i | 1.43193 | + | 1.26942i | ||||
\(401\) | 159.383 | + | 330.962i | 0.397464 | + | 0.825342i | 0.999636 | + | 0.0269760i | \(0.00858778\pi\) |
−0.602172 | + | 0.798366i | \(0.705698\pi\) | |||||||
\(402\) | −423.548 | − | 506.575i | −1.05360 | − | 1.26014i | ||||
\(403\) | −67.8971 | + | 602.604i | −0.168479 | + | 1.49529i | ||||
\(404\) | −566.315 | − | 291.136i | −1.40177 | − | 0.720634i | ||||
\(405\) | −597.021 | − | 348.524i | −1.47413 | − | 0.860552i | ||||
\(406\) | −151.022 | + | 550.172i | −0.371974 | + | 1.35510i | ||||
\(407\) | 30.9031 | 0.0759289 | ||||||||
\(408\) | 179.541 | − | 223.810i | 0.440050 | − | 0.548553i | ||||
\(409\) | −55.3864 | + | 491.568i | −0.135419 | + | 1.20188i | 0.723705 | + | 0.690109i | \(0.242438\pi\) |
−0.859124 | + | 0.511767i | \(0.828991\pi\) | |||||||
\(410\) | 325.293 | + | 298.412i | 0.793397 | + | 0.727834i | ||||
\(411\) | −321.443 | + | 105.346i | −0.782099 | + | 0.256317i | ||||
\(412\) | −44.3611 | − | 29.5133i | −0.107673 | − | 0.0716343i | ||||
\(413\) | 312.736 | − | 249.398i | 0.757229 | − | 0.603870i | ||||
\(414\) | −0.313344 | − | 1.35244i | −0.000756869 | − | 0.00326677i | ||||
\(415\) | −13.3701 | + | 58.5784i | −0.0322172 | + | 0.141153i | ||||
\(416\) | −167.030 | + | 702.475i | −0.401515 | + | 1.68864i | ||||
\(417\) | 340.668 | + | 282.945i | 0.816951 | + | 0.678526i | ||||
\(418\) | −3.32255 | − | 3.81687i | −0.00794869 | − | 0.00913127i | ||||
\(419\) | 522.466 | − | 119.249i | 1.24694 | − | 0.284605i | 0.452396 | − | 0.891817i | \(-0.350569\pi\) |
0.794539 | + | 0.607212i | \(0.207712\pi\) | |||||||
\(420\) | −66.6865 | − | 1005.21i | −0.158777 | − | 2.39336i | ||||
\(421\) | −169.373 | + | 59.2661i | −0.402311 | + | 0.140775i | −0.523847 | − | 0.851812i | \(-0.675504\pi\) |
0.121536 | + | 0.992587i | \(0.461218\pi\) | |||||||
\(422\) | 288.129 | − | 45.1014i | 0.682771 | − | 0.106875i | ||||
\(423\) | 190.850 | + | 332.402i | 0.451182 | + | 0.785821i | ||||
\(424\) | −114.494 | + | 118.459i | −0.270033 | + | 0.279383i | ||||
\(425\) | −64.0365 | − | 568.339i | −0.150674 | − | 1.33727i | ||||
\(426\) | 141.751 | − | 312.681i | 0.332748 | − | 0.733993i | ||||
\(427\) | −328.122 | − | 522.203i | −0.768436 | − | 1.22296i | ||||
\(428\) | 281.655 | − | 166.902i | 0.658073 | − | 0.389959i | ||||
\(429\) | −32.5520 | − | 21.3689i | −0.0758787 | − | 0.0498109i | ||||
\(430\) | 573.904 | − | 229.006i | 1.33466 | − | 0.532571i | ||||
\(431\) | −340.946 | + | 427.533i | −0.791058 | + | 0.991955i | 0.208844 | + | 0.977949i | \(0.433030\pi\) |
−0.999902 | + | 0.0140064i | \(0.995541\pi\) | |||||||
\(432\) | 305.588 | + | 305.352i | 0.707380 | + | 0.706833i | ||||
\(433\) | −108.814 | + | 310.971i | −0.251301 | + | 0.718178i | 0.747259 | + | 0.664533i | \(0.231370\pi\) |
−0.998560 | + | 0.0536449i | \(0.982916\pi\) | |||||||
\(434\) | −36.5199 | + | 527.454i | −0.0841472 | + | 1.21533i | ||||
\(435\) | −702.239 | − | 241.219i | −1.61434 | − | 0.554527i | ||||
\(436\) | −226.734 | − | 31.5485i | −0.520032 | − | 0.0723589i | ||||
\(437\) | 0.112046 | − | 0.320209i | 0.000256398 | − | 0.000732743i | ||||
\(438\) | −184.917 | + | 570.537i | −0.422186 | + | 1.30260i | ||||
\(439\) | 58.7109 | − | 73.6211i | 0.133738 | − | 0.167702i | −0.710453 | − | 0.703745i | \(-0.751510\pi\) |
0.844191 | + | 0.536043i | \(0.180081\pi\) | |||||||
\(440\) | 38.1361 | − | 9.38979i | 0.0866730 | − | 0.0213404i | ||||
\(441\) | −281.154 | + | 325.125i | −0.637537 | + | 0.737244i | ||||
\(442\) | 444.043 | − | 306.447i | 1.00462 | − | 0.693320i | ||||
\(443\) | −91.9306 | − | 146.307i | −0.207518 | − | 0.330263i | 0.726707 | − | 0.686948i | \(-0.241050\pi\) |
−0.934225 | + | 0.356685i | \(0.883907\pi\) | |||||||
\(444\) | −567.369 | − | 306.102i | −1.27786 | − | 0.689419i | ||||
\(445\) | 47.0471 | + | 417.555i | 0.105724 | + | 0.938325i | ||||
\(446\) | 403.136 | + | 294.010i | 0.903891 | + | 0.659216i | ||||
\(447\) | 191.489 | + | 250.175i | 0.428387 | + | 0.559675i | ||||
\(448\) | −119.121 | + | 618.170i | −0.265896 | + | 1.37984i | ||||
\(449\) | 47.6750 | − | 16.6822i | 0.106180 | − | 0.0371541i | −0.276666 | − | 0.960966i | \(-0.589230\pi\) |
0.382846 | + | 0.923812i | \(0.374944\pi\) | |||||||
\(450\) | 861.115 | − | 2.81676i | 1.91359 | − | 0.00625947i | ||||
\(451\) | 14.5033 | − | 3.31028i | 0.0321581 | − | 0.00733987i | ||||
\(452\) | 402.871 | − | 304.452i | 0.891307 | − | 0.673566i | ||||
\(453\) | 513.131 | − | 617.814i | 1.13274 | − | 1.36383i | ||||
\(454\) | −22.5854 | + | 0.973400i | −0.0497475 | + | 0.00214405i | ||||
\(455\) | 421.526 | − | 1846.83i | 0.926431 | − | 4.05896i | ||||
\(456\) | 23.1938 | + | 102.987i | 0.0508636 | + | 0.225849i | ||||
\(457\) | −154.922 | + | 123.546i | −0.338998 | + | 0.270342i | −0.778160 | − | 0.628066i | \(-0.783847\pi\) |
0.439162 | + | 0.898408i | \(0.355275\pi\) | |||||||
\(458\) | 430.914 | + | 245.540i | 0.940861 | + | 0.536114i | ||||
\(459\) | −16.9381 | − | 322.345i | −0.0369022 | − | 0.702277i | ||||
\(460\) | 1.81265 | + | 1.90966i | 0.00394055 | + | 0.00415144i | ||||
\(461\) | 12.3838 | − | 109.909i | 0.0268629 | − | 0.238415i | −0.973105 | − | 0.230363i | \(-0.926009\pi\) |
0.999968 | − | 0.00805139i | \(-0.00256287\pi\) | |||||||
\(462\) | −29.1570 | − | 17.3916i | −0.0631104 | − | 0.0376441i | ||||
\(463\) | −231.869 | −0.500797 | −0.250398 | − | 0.968143i | \(-0.580562\pi\) | ||||
−0.250398 | + | 0.968143i | \(0.580562\pi\) | |||||||
\(464\) | 386.205 | + | 257.180i | 0.832338 | + | 0.554268i | ||||
\(465\) | −682.109 | − | 90.6345i | −1.46690 | − | 0.194913i | ||||
\(466\) | −191.563 | + | 445.951i | −0.411079 | + | 0.956977i | ||||
\(467\) | −88.5753 | + | 786.127i | −0.189669 | + | 1.68336i | 0.433410 | + | 0.901197i | \(0.357310\pi\) |
−0.623078 | + | 0.782159i | \(0.714118\pi\) | |||||||
\(468\) | 385.978 | + | 714.759i | 0.824740 | + | 1.52726i | ||||
\(469\) | −469.695 | − | 975.332i | −1.00148 | − | 2.07960i | ||||
\(470\) | −631.610 | − | 359.899i | −1.34385 | − | 0.765743i | ||||
\(471\) | −13.4907 | − | 22.4499i | −0.0286426 | − | 0.0476643i | ||||
\(472\) | −112.655 | − | 305.190i | −0.238676 | − | 0.646589i | ||||
\(473\) | 4.63363 | − | 20.3012i | 0.00979625 | − | 0.0429202i | ||||
\(474\) | 502.706 | + | 44.8736i | 1.06056 | + | 0.0946701i | ||||
\(475\) | 178.175 | + | 111.955i | 0.375106 | + | 0.235695i | ||||
\(476\) | 375.285 | − | 283.605i | 0.788413 | − | 0.595808i | ||||
\(477\) | −7.37475 | + | 185.193i | −0.0154607 | + | 0.388245i | ||||
\(478\) | −156.554 | − | 571.287i | −0.327519 | − | 1.19516i | ||||
\(479\) | 369.516 | − | 129.299i | 0.771432 | − | 0.269936i | 0.0842728 | − | 0.996443i | \(-0.473143\pi\) |
0.687159 | + | 0.726507i | \(0.258858\pi\) | |||||||
\(480\) | −793.173 | − | 205.354i | −1.65244 | − | 0.427821i | ||||
\(481\) | −857.172 | − | 857.172i | −1.78206 | − | 1.78206i | ||||
\(482\) | −38.6207 | − | 28.1664i | −0.0801259 | − | 0.0584365i | ||||
\(483\) | 0.0452900 | − | 2.27552i | 9.37680e−5 | − | 0.00471122i | ||||
\(484\) | −171.233 | + | 451.282i | −0.353788 | + | 0.932402i | ||||
\(485\) | 653.216 | + | 1039.59i | 1.34684 | + | 2.14348i | ||||
\(486\) | 485.226 | + | 27.4106i | 0.998408 | + | 0.0564005i | ||||
\(487\) | 311.846 | − | 647.556i | 0.640342 | − | 1.32968i | −0.287884 | − | 0.957665i | \(-0.592952\pi\) |
0.928225 | − | 0.372018i | \(-0.121334\pi\) | |||||||
\(488\) | −487.037 | + | 119.917i | −0.998026 | + | 0.245732i | ||||
\(489\) | 478.255 | + | 497.679i | 0.978026 | + | 1.01775i | ||||
\(490\) | 147.011 | − | 801.843i | 0.300022 | − | 1.63641i | ||||
\(491\) | 118.443 | − | 338.490i | 0.241228 | − | 0.689389i | −0.758079 | − | 0.652163i | \(-0.773862\pi\) |
0.999307 | − | 0.0372267i | \(-0.0118524\pi\) | |||||||
\(492\) | −299.064 | − | 82.8830i | −0.607854 | − | 0.168461i | ||||
\(493\) | −85.7839 | − | 335.920i | −0.174004 | − | 0.681379i | ||||
\(494\) | −13.7112 | + | 198.029i | −0.0277554 | + | 0.400869i | ||||
\(495\) | 24.9776 | − | 36.4470i | 0.0504598 | − | 0.0736304i | ||||
\(496\) | 397.921 | + | 162.968i | 0.802259 | + | 0.328564i | ||||
\(497\) | 350.923 | − | 440.043i | 0.706082 | − | 0.885399i | ||||
\(498\) | −10.3511 | − | 40.9528i | −0.0207853 | − | 0.0822346i | ||||
\(499\) | 594.736 | + | 286.410i | 1.19186 | + | 0.573968i | 0.921344 | − | 0.388749i | \(-0.127093\pi\) |
0.270512 | + | 0.962717i | \(0.412807\pi\) | |||||||
\(500\) | −670.794 | + | 397.497i | −1.34159 | + | 0.794994i | ||||
\(501\) | 319.432 | + | 698.535i | 0.637588 | + | 1.39428i | ||||
\(502\) | 351.359 | + | 106.201i | 0.699919 | + | 0.211556i | ||||
\(503\) | 73.6099 | + | 653.306i | 0.146342 | + | 1.29882i | 0.825322 | + | 0.564663i | \(0.190994\pi\) |
−0.678980 | + | 0.734157i | \(0.737578\pi\) | |||||||
\(504\) | 363.044 | + | 608.109i | 0.720325 | + | 1.20657i | ||||
\(505\) | 960.707 | − | 960.707i | 1.90239 | − | 1.90239i | ||||
\(506\) | 0.0876629 | − | 0.0137220i | 0.000173247 | − | 2.71186e-5i | ||||
\(507\) | 207.230 | + | 999.190i | 0.408738 | + | 1.97079i | ||||
\(508\) | −150.535 | − | 748.983i | −0.296330 | − | 1.47438i | ||||
\(509\) | 249.059 | − | 56.8460i | 0.489309 | − | 0.111682i | 0.0292543 | − | 0.999572i | \(-0.490687\pi\) |
0.460055 | + | 0.887890i | \(0.347830\pi\) | |||||||
\(510\) | 337.632 | + | 510.678i | 0.662023 | + | 1.00133i | ||||
\(511\) | −523.126 | + | 832.551i | −1.02373 | + | 1.62926i | ||||
\(512\) | 446.858 | + | 249.924i | 0.872769 | + | 0.488133i | ||||
\(513\) | 96.6097 | + | 69.0727i | 0.188323 | + | 0.134645i | ||||
\(514\) | −286.446 | − | 534.619i | −0.557287 | − | 1.04011i | ||||
\(515\) | 88.8826 | − | 70.8815i | 0.172588 | − | 0.137634i | ||||
\(516\) | −286.160 | + | 326.826i | −0.554574 | + | 0.633384i | ||||
\(517\) | −22.0720 | + | 10.6293i | −0.0426925 | + | 0.0205596i | ||||
\(518\) | −778.829 | − | 714.470i | −1.50353 | − | 1.37929i | ||||
\(519\) | 161.362 | − | 647.316i | 0.310910 | − | 1.24724i | ||||
\(520\) | −1318.25 | − | 797.349i | −2.53509 | − | 1.53336i | ||||
\(521\) | 396.229 | 0.760517 | 0.380258 | − | 0.924880i | \(-0.375835\pi\) | ||||
0.380258 | + | 0.924880i | \(0.375835\pi\) | |||||||
\(522\) | 516.812 | − | 73.4089i | 0.990062 | − | 0.140630i | ||||
\(523\) | 3.46615i | 0.00662743i | 0.999995 | + | 0.00331372i | \(0.00105479\pi\) | ||||
−0.999995 | + | 0.00331372i | \(0.998945\pi\) | |||||||
\(524\) | −473.662 | − | 243.504i | −0.903935 | − | 0.464703i | ||||
\(525\) | 1369.83 | + | 341.470i | 2.60920 | + | 0.650419i | ||||
\(526\) | 210.492 | + | 193.098i | 0.400175 | + | 0.367107i | ||||
\(527\) | −139.405 | − | 289.477i | −0.264525 | − | 0.549292i | ||||
\(528\) | −20.8781 | + | 18.0686i | −0.0395419 | + | 0.0342209i | ||||
\(529\) | −329.822 | − | 413.584i | −0.623483 | − | 0.781823i | ||||
\(530\) | −166.011 | − | 309.841i | −0.313228 | − | 0.584605i | ||||
\(531\) | −323.160 | − | 171.789i | −0.608587 | − | 0.323520i | ||||
\(532\) | −4.50892 | + | 173.010i | −0.00847542 | + | 0.325208i | ||||
\(533\) | −494.103 | − | 310.465i | −0.927022 | − | 0.582487i | ||||
\(534\) | −162.918 | − | 246.419i | −0.305091 | − | 0.461458i | ||||
\(535\) | 155.441 | + | 681.030i | 0.290543 | + | 1.27295i | ||||
\(536\) | −873.075 | + | 113.447i | −1.62887 | + | 0.211656i | ||||
\(537\) | −267.018 | + | 55.3790i | −0.497240 | + | 0.103127i | ||||
\(538\) | 753.412 | − | 117.933i | 1.40039 | − | 0.219206i | ||||
\(539\) | −19.4259 | − | 19.4259i | −0.0360406 | − | 0.0360406i | ||||
\(540\) | −819.595 | + | 421.745i | −1.51777 | + | 0.781010i | ||||
\(541\) | 84.1497 | − | 9.48140i | 0.155545 | − | 0.0175257i | −0.0338487 | − | 0.999427i | \(-0.510776\pi\) |
0.189393 | + | 0.981901i | \(0.439348\pi\) | |||||||
\(542\) | −733.035 | − | 221.566i | −1.35246 | − | 0.408793i | ||||
\(543\) | 169.845 | − | 77.6681i | 0.312790 | − | 0.143035i | ||||
\(544\) | −123.084 | − | 362.225i | −0.226258 | − | 0.665854i | ||||
\(545\) | 211.924 | − | 440.064i | 0.388851 | − | 0.807456i | ||||
\(546\) | 326.343 | + | 1291.14i | 0.597698 | + | 2.36472i | ||||
\(547\) | −32.4522 | − | 25.8797i | −0.0593275 | − | 0.0473121i | 0.593377 | − | 0.804925i | \(-0.297794\pi\) |
−0.652705 | + | 0.757612i | \(0.726366\pi\) | |||||||
\(548\) | −111.783 | + | 436.948i | −0.203984 | + | 0.797351i | ||||
\(549\) | −318.989 | + | 465.466i | −0.581036 | + | 0.847843i | ||||
\(550\) | −3.80163 | + | 54.9066i | −0.00691205 | + | 0.0998302i | ||||
\(551\) | 116.308 | + | 52.3829i | 0.211084 | + | 0.0950687i | ||||
\(552\) | −1.74538 | − | 0.616390i | −0.00316192 | − | 0.00111665i | ||||
\(553\) | 780.998 | + | 273.283i | 1.41229 | + | 0.494182i | ||||
\(554\) | −89.8332 | + | 489.978i | −0.162154 | + | 0.884437i | ||||
\(555\) | 991.799 | − | 953.090i | 1.78702 | − | 1.71728i | ||||
\(556\) | 562.219 | − | 180.431i | 1.01118 | − | 0.324516i | ||||
\(557\) | −199.104 | − | 95.8834i | −0.357458 | − | 0.172143i | 0.246532 | − | 0.969135i | \(-0.420709\pi\) |
−0.603990 | + | 0.796992i | \(0.706423\pi\) | |||||||
\(558\) | 456.078 | − | 161.265i | 0.817344 | − | 0.289005i | ||||
\(559\) | −691.629 | + | 434.580i | −1.23726 | + | 0.777423i | ||||
\(560\) | −1178.21 | − | 645.051i | −2.10394 | − | 1.15188i | ||||
\(561\) | 20.6269 | + | 0.410539i | 0.0367680 | + | 0.000731799i | ||||
\(562\) | −43.9801 | − | 32.0751i | −0.0782564 | − | 0.0570730i | ||||
\(563\) | 122.505 | − | 122.505i | 0.217593 | − | 0.217593i | −0.589890 | − | 0.807483i | \(-0.700829\pi\) |
0.807483 | + | 0.589890i | \(0.200829\pi\) | |||||||
\(564\) | 510.520 | + | 23.4781i | 0.905178 | + | 0.0416278i | ||||
\(565\) | 355.855 | + | 1016.97i | 0.629831 | + | 1.79995i | ||||
\(566\) | 201.092 | + | 733.811i | 0.355286 | + | 1.29649i | ||||
\(567\) | 760.231 | + | 238.504i | 1.34079 | + | 0.420642i | ||||
\(568\) | −250.097 | − | 383.387i | −0.440311 | − | 0.674977i | ||||
\(569\) | −136.970 | + | 217.986i | −0.240720 | + | 0.383104i | −0.945133 | − | 0.326687i | \(-0.894068\pi\) |
0.704413 | + | 0.709791i | \(0.251211\pi\) | |||||||
\(570\) | −224.351 | − | 20.0265i | −0.393598 | − | 0.0351342i | ||||
\(571\) | −98.6107 | − | 22.5072i | −0.172698 | − | 0.0394172i | 0.135297 | − | 0.990805i | \(-0.456801\pi\) |
−0.307996 | + | 0.951388i | \(0.599658\pi\) | |||||||
\(572\) | −47.3483 | + | 21.3004i | −0.0827768 | + | 0.0372385i | ||||
\(573\) | 245.797 | − | 147.705i | 0.428966 | − | 0.257776i | ||||
\(574\) | −442.050 | − | 251.885i | −0.770121 | − | 0.438824i | ||||
\(575\) | −3.32431 | + | 1.60090i | −0.00578140 | + | 0.00278418i | ||||
\(576\) | 562.288 | − | 124.931i | 0.976195 | − | 0.216894i | ||||
\(577\) | 540.930 | + | 60.9482i | 0.937487 | + | 0.105629i | 0.567469 | − | 0.823395i | \(-0.307923\pi\) |
0.370018 | + | 0.929024i | \(0.379351\pi\) | |||||||
\(578\) | 115.307 | − | 268.430i | 0.199493 | − | 0.464411i | ||||
\(579\) | −34.5923 | + | 260.339i | −0.0597448 | + | 0.449635i | ||||
\(580\) | −774.292 | + | 616.934i | −1.33499 | + | 1.06368i | ||||
\(581\) | − | 69.2509i | − | 0.119193i | ||||||
\(582\) | −741.292 | − | 442.166i | −1.27370 | − | 0.759735i | ||||
\(583\) | −11.7714 | − | 1.32632i | −0.0201911 | − | 0.00227499i | ||||
\(584\) | 509.155 | + | 616.637i | 0.871841 | + | 1.05588i | ||||
\(585\) | −1703.76 | + | 318.134i | −2.91241 | + | 0.543818i | ||||
\(586\) | 433.038 | + | 246.751i | 0.738973 | + | 0.421076i | ||||
\(587\) | −553.329 | − | 693.853i | −0.942639 | − | 1.18203i | −0.983140 | − | 0.182853i | \(-0.941467\pi\) |
0.0405011 | − | 0.999179i | \(-0.487105\pi\) | |||||||
\(588\) | 164.234 | + | 549.070i | 0.279310 | + | 0.933792i | ||||
\(589\) | 115.248 | + | 26.3047i | 0.195668 | + | 0.0446599i | ||||
\(590\) | 693.475 | − | 29.8879i | 1.17538 | − | 0.0506574i | ||||
\(591\) | 328.923 | + | 273.190i | 0.556553 | + | 0.462250i | ||||
\(592\) | −750.648 | + | 418.786i | −1.26799 | + | 0.707409i | ||||
\(593\) | 39.5566 | + | 173.309i | 0.0667060 | + | 0.292258i | 0.997267 | − | 0.0738782i | \(-0.0235376\pi\) |
−0.930561 | + | 0.366136i | \(0.880680\pi\) | |||||||
\(594\) | −3.99069 | + | 30.8050i | −0.00671834 | + | 0.0518604i | ||||
\(595\) | 331.488 | + | 947.337i | 0.557122 | + | 1.59216i | ||||
\(596\) | 418.507 | − | 36.1413i | 0.702193 | − | 0.0606398i | ||||
\(597\) | −171.787 | + | 131.489i | −0.287750 | + | 0.220250i | ||||
\(598\) | −2.81216 | − | 2.05093i | −0.00470261 | − | 0.00342965i | ||||
\(599\) | −957.357 | + | 107.868i | −1.59826 | + | 0.180081i | −0.865679 | − | 0.500600i | \(-0.833113\pi\) |
−0.732581 | + | 0.680680i | \(0.761684\pi\) | |||||||
\(600\) | 613.659 | − | 970.409i | 1.02277 | − | 1.61735i | ||||
\(601\) | 37.6075 | − | 23.6304i | 0.0625749 | − | 0.0393184i | −0.500381 | − | 0.865805i | \(-0.666807\pi\) |
0.562956 | + | 0.826487i | \(0.309664\pi\) | |||||||
\(602\) | −586.137 | + | 404.511i | −0.973650 | + | 0.671944i | ||||
\(603\) | −647.870 | + | 749.192i | −1.07441 | + | 1.24244i | ||||
\(604\) | −327.218 | − | 1019.60i | −0.541752 | − | 1.68808i | ||||
\(605\) | −805.182 | − | 642.111i | −1.33088 | − | 1.06134i | ||||
\(606\) | −294.493 | + | 908.619i | −0.485963 | + | 1.49937i | ||||
\(607\) | −446.043 | − | 156.077i | −0.734832 | − | 0.257129i | −0.0631865 | − | 0.998002i | \(-0.520126\pi\) |
−0.671645 | + | 0.740873i | \(0.734412\pi\) | |||||||
\(608\) | 132.431 | + | 47.6875i | 0.217814 | + | 0.0784334i | ||||
\(609\) | 850.939 | + | 90.9462i | 1.39727 | + | 0.149337i | ||||
\(610\) | 73.9219 | − | 1067.65i | 0.121183 | − | 1.75024i | ||||
\(611\) | 907.052 | + | 317.391i | 1.48454 | + | 0.519462i | ||||
\(612\) | −374.635 | − | 211.851i | −0.612149 | − | 0.346162i | ||||
\(613\) | −168.970 | − | 134.749i | −0.275644 | − | 0.219819i | 0.475904 | − | 0.879497i | \(-0.342121\pi\) |
−0.751548 | + | 0.659679i | \(0.770692\pi\) | |||||||
\(614\) | 184.768 | − | 73.7281i | 0.300924 | − | 0.120078i | ||||
\(615\) | 363.374 | − | 553.540i | 0.590851 | − | 0.900064i | ||||
\(616\) | −40.4437 | + | 20.3315i | −0.0656553 | + | 0.0330057i | ||||
\(617\) | −460.865 | + | 289.581i | −0.746945 | + | 0.469336i | −0.850954 | − | 0.525240i | \(-0.823976\pi\) |
0.104010 | + | 0.994576i | \(0.466833\pi\) | |||||||
\(618\) | −32.9994 | + | 72.7919i | −0.0533971 | + | 0.117786i | ||||
\(619\) | 572.788 | − | 64.5377i | 0.925344 | − | 0.104261i | 0.363584 | − | 0.931561i | \(-0.381553\pi\) |
0.561760 | + | 0.827300i | \(0.310124\pi\) | |||||||
\(620\) | −590.528 | + | 702.162i | −0.952464 | + | 1.13252i | ||||
\(621\) | −1.92674 | + | 0.789965i | −0.00310265 | + | 0.00127209i | ||||
\(622\) | −333.124 | + | 52.1446i | −0.535570 | + | 0.0838337i | ||||
\(623\) | −159.954 | − | 457.121i | −0.256747 | − | 0.733742i | ||||
\(624\) | 1080.28 | + | 77.9279i | 1.73122 | + | 0.124884i | ||||
\(625\) | −104.065 | − | 455.939i | −0.166504 | − | 0.729503i | ||||
\(626\) | −116.453 | − | 133.779i | −0.186027 | − | 0.213704i | ||||
\(627\) | −4.84984 | + | 5.83924i | −0.00773499 | + | 0.00931299i | ||||
\(628\) | −34.9102 | − | 0.909814i | −0.0555895 | − | 0.00144875i | ||||
\(629\) | 626.164 | + | 142.918i | 0.995491 | + | 0.227214i | ||||
\(630\) | −1472.14 | + | 341.076i | −2.33673 | + | 0.541391i | ||||
\(631\) | 115.584 | + | 144.937i | 0.183175 | + | 0.229694i | 0.864938 | − | 0.501879i | \(-0.167358\pi\) |
−0.681763 | + | 0.731573i | \(0.738786\pi\) | |||||||
\(632\) | 410.558 | − | 533.188i | 0.649617 | − | 0.843653i | ||||
\(633\) | −136.238 | − | 415.702i | −0.215225 | − | 0.656717i | ||||
\(634\) | −631.424 | − | 579.246i | −0.995937 | − | 0.913636i | ||||
\(635\) | 1619.78 | + | 182.506i | 2.55084 | + | 0.287411i | ||||
\(636\) | 202.981 | + | 140.949i | 0.319153 | + | 0.221618i | ||||
\(637\) | 1077.65i | 1.69176i | ||||||||
\(638\) | 2.29023 | + | 33.2847i | 0.00358970 | + | 0.0521704i | ||||
\(639\) | −497.099 | − | 134.477i | −0.777932 | − | 0.210450i | ||||
\(640\) | −799.095 | + | 744.887i | −1.24859 | + | 1.16389i | ||||
\(641\) | −476.540 | − | 53.6931i | −0.743432 | − | 0.0837646i | −0.267880 | − | 0.963452i | \(-0.586323\pi\) |
−0.475552 | + | 0.879688i | \(0.657752\pi\) | |||||||
\(642\) | −315.003 | − | 376.752i | −0.490659 | − | 0.586841i | ||||
\(643\) | 1109.04 | − | 534.084i | 1.72479 | − | 0.830613i | 0.736792 | − | 0.676119i | \(-0.236340\pi\) |
0.987994 | − | 0.154494i | \(-0.0493747\pi\) | |||||||
\(644\) | −2.52656 | − | 1.68091i | −0.00392323 | − | 0.00261011i | ||||
\(645\) | −477.405 | − | 794.452i | −0.740163 | − | 1.23171i | ||||
\(646\) | −49.6702 | − | 92.7040i | −0.0768889 | − | 0.143505i | ||||
\(647\) | −157.666 | − | 35.9863i | −0.243689 | − | 0.0556203i | 0.0989320 | − | 0.995094i | \(-0.468457\pi\) |
−0.342621 | + | 0.939474i | \(0.611315\pi\) | |||||||
\(648\) | 378.399 | − | 526.040i | 0.583949 | − | 0.811791i | ||||
\(649\) | 12.4451 | − | 19.8063i | 0.0191758 | − | 0.0305181i | ||||
\(650\) | 1628.42 | − | 1417.52i | 2.50525 | − | 2.18080i | ||||
\(651\) | 789.699 | − | 73.0963i | 1.21306 | − | 0.112283i | ||||
\(652\) | 902.258 | − | 181.342i | 1.38383 | − | 0.278131i | ||||
\(653\) | 161.526 | + | 461.615i | 0.247360 | + | 0.706914i | 0.998885 | + | 0.0472094i | \(0.0150328\pi\) |
−0.751525 | + | 0.659704i | \(0.770681\pi\) | |||||||
\(654\) | 7.95588 | + | 343.286i | 0.0121650 | + | 0.524902i | ||||
\(655\) | 803.529 | − | 803.529i | 1.22676 | − | 1.22676i | ||||
\(656\) | −307.431 | + | 276.951i | −0.468646 | + | 0.422181i | ||||
\(657\) | 889.261 | + | 136.219i | 1.35352 | + | 0.207335i | ||||
\(658\) | 802.014 | + | 242.415i | 1.21887 | + | 0.368412i | ||||
\(659\) | −965.152 | + | 606.445i | −1.46457 | + | 0.920251i | −0.465184 | + | 0.885214i | \(0.654012\pi\) |
−0.999386 | + | 0.0350367i | \(0.988845\pi\) | |||||||
\(660\) | −23.0958 | − | 54.1967i | −0.0349937 | − | 0.0821162i | ||||
\(661\) | 209.966 | + | 101.114i | 0.317648 | + | 0.152971i | 0.585913 | − | 0.810374i | \(-0.300736\pi\) |
−0.268265 | + | 0.963345i | \(0.586450\pi\) | |||||||
\(662\) | −377.756 | − | 946.681i | −0.570628 | − | 1.43003i | ||||
\(663\) | −560.749 | − | 583.524i | −0.845776 | − | 0.880126i | ||||
\(664\) | −53.4692 | − | 17.6944i | −0.0805259 | − | 0.0266482i | ||||
\(665\) | −348.548 | − | 121.962i | −0.524133 | − | 0.183402i | ||||
\(666\) | −316.397 | + | 913.787i | −0.475070 | + | 1.37205i | ||||
\(667\) | −1.86271 | + | 1.23811i | −0.00279267 | + | 0.00185623i | ||||
\(668\) | 1014.37 | + | 141.142i | 1.51852 | + | 0.211291i | ||||
\(669\) | 338.090 | − | 667.725i | 0.505365 | − | 0.998093i | ||||
\(670\) | 338.761 | − | 1847.71i | 0.505613 | − | 2.75777i | ||||
\(671\) | −28.1973 | − | 22.4866i | −0.0420228 | − | 0.0335121i | ||||
\(672\) | 943.919 | + | 27.3244i | 1.40464 | + | 0.0406614i | ||||
\(673\) | −217.285 | + | 451.197i | −0.322860 | + | 0.670427i | −0.997718 | − | 0.0675216i | \(-0.978491\pi\) |
0.674857 | + | 0.737948i | \(0.264205\pi\) | |||||||
\(674\) | 189.090 | + | 273.992i | 0.280548 | + | 0.406516i | ||||
\(675\) | −211.777 | − | 1274.20i | −0.313743 | − | 1.88770i | ||||
\(676\) | 1272.11 | + | 482.685i | 1.88182 | + | 0.714031i | ||||
\(677\) | −338.577 | + | 38.1485i | −0.500114 | + | 0.0563493i | −0.358419 | − | 0.933561i | \(-0.616684\pi\) |
−0.141695 | + | 0.989910i | \(0.545255\pi\) | |||||||
\(678\) | −547.869 | − | 523.049i | −0.808066 | − | 0.771459i | ||||
\(679\) | −1000.61 | − | 1000.61i | −1.47365 | − | 1.47365i | ||||
\(680\) | 816.146 | − | 13.8892i | 1.20022 | − | 0.0204253i | ||||
\(681\) | 6.88623 | + | 33.2029i | 0.0101119 | + | 0.0487562i | ||||
\(682\) | 8.17159 | + | 29.8192i | 0.0119818 | + | 0.0437232i | ||||
\(683\) | 7.91892 | + | 34.6951i | 0.0115943 | + | 0.0507981i | 0.980394 | − | 0.197046i | \(-0.0631350\pi\) |
−0.968800 | + | 0.247844i | \(0.920278\pi\) | |||||||
\(684\) | 146.880 | − | 59.1675i | 0.214737 | − | 0.0865022i | ||||
\(685\) | −814.822 | − | 511.987i | −1.18952 | − | 0.747426i | ||||
\(686\) | −1.05139 | − | 24.3950i | −0.00153264 | − | 0.0355612i | ||||
\(687\) | 259.633 | − | 697.165i | 0.377922 | − | 1.01480i | ||||
\(688\) | 162.562 | + | 555.919i | 0.236281 | + | 0.808021i | ||||
\(689\) | 289.720 | + | 363.297i | 0.420493 | + | 0.527282i | ||||
\(690\) | 2.39024 | − | 3.14403i | 0.00346411 | − | 0.00455656i | ||||
\(691\) | 511.948 | + | 1063.07i | 0.740880 | + | 1.53845i | 0.839519 | + | 0.543330i | \(0.182837\pi\) |
−0.0986390 | + | 0.995123i | \(0.531449\pi\) | |||||||
\(692\) | −612.372 | − | 645.144i | −0.884930 | − | 0.932290i | ||||
\(693\) | −18.7187 | + | 47.3598i | −0.0270111 | + | 0.0683403i | ||||
\(694\) | −336.578 | + | 783.540i | −0.484982 | + | 1.12902i | ||||
\(695\) | 1259.84i | 1.81273i | ||||||||
\(696\) | 287.645 | − | 633.780i | 0.413283 | − | 0.910603i | ||||
\(697\) | 309.178 | 0.443583 | ||||||||
\(698\) | −884.504 | − | 379.948i | −1.26720 | − | 0.544338i | ||||
\(699\) | 706.414 | + | 176.094i | 1.01061 | + | 0.251923i | ||||
\(700\) | 1365.23 | − | 1295.88i | 1.95034 | − | 1.85126i | ||||
\(701\) | 603.262 | − | 290.516i | 0.860573 | − | 0.414430i | 0.0490820 | − | 0.998795i | \(-0.484370\pi\) |
0.811491 | + | 0.584364i | \(0.198656\pi\) | |||||||
\(702\) | 965.144 | − | 743.761i | 1.37485 | − | 1.05949i | ||||
\(703\) | −184.751 | + | 147.334i | −0.262804 | + | 0.209579i | ||||
\(704\) | 5.36435 | + | 36.4219i | 0.00761981 | + | 0.0517356i | ||||
\(705\) | −380.555 | + | 1021.87i | −0.539794 | + | 1.44946i | ||||
\(706\) | −1051.34 | + | 45.3114i | −1.48915 | + | 0.0641804i | ||||
\(707\) | −833.114 | + | 1325.89i | −1.17838 | + | 1.87538i | ||||
\(708\) | −424.673 | + | 240.364i | −0.599821 | + | 0.339497i | ||||
\(709\) | −403.778 | + | 92.1598i | −0.569504 | + | 0.129986i | −0.497570 | − | 0.867424i | \(-0.665774\pi\) |
−0.0719341 | + | 0.997409i | \(0.522917\pi\) | |||||||
\(710\) | 941.951 | − | 258.130i | 1.32669 | − | 0.363564i | ||||
\(711\) | −54.7621 | − | 755.074i | −0.0770213 | − | 1.06199i | ||||
\(712\) | −393.817 | + | 6.70199i | −0.553114 | + | 0.00941291i | ||||
\(713\) | −1.46566 | + | 1.46566i | −0.00205562 | + | 0.00205562i | ||||
\(714\) | −510.354 | − | 487.234i | −0.714781 | − | 0.682400i | ||||
\(715\) | −12.4031 | − | 110.081i | −0.0173470 | − | 0.153959i | ||||
\(716\) | −128.990 | + | 339.951i | −0.180154 | + | 0.474792i | ||||
\(717\) | −808.046 | + | 369.510i | −1.12698 | + | 0.515356i | ||||
\(718\) | −249.288 | + | 172.041i | −0.347198 | + | 0.239612i | ||||
\(719\) | −783.503 | − | 377.315i | −1.08971 | − | 0.524778i | −0.199302 | − | 0.979938i | \(-0.563868\pi\) |
−0.890409 | + | 0.455160i | \(0.849582\pi\) | |||||||
\(720\) | −112.800 | + | 1223.80i | −0.156667 | + | 1.69972i | ||||
\(721\) | −81.6946 | + | 102.442i | −0.113307 | + | 0.142083i | ||||
\(722\) | −672.102 | − | 123.224i | −0.930889 | − | 0.170670i | ||||
\(723\) | −32.3892 | + | 63.9685i | −0.0447984 | + | 0.0884765i | ||||
\(724\) | 34.3180 | − | 246.638i | 0.0474006 | − | 0.340661i | ||||
\(725\) | −491.620 | − | 1297.33i | −0.678097 | − | 1.78943i | ||||
\(726\) | 709.405 | + | 144.711i | 0.977142 | + | 0.199326i | ||||
\(727\) | −83.0756 | + | 237.417i | −0.114272 | + | 0.326570i | −0.986788 | − | 0.162014i | \(-0.948201\pi\) |
0.872517 | + | 0.488585i | \(0.162487\pi\) | |||||||
\(728\) | 1685.75 | + | 557.859i | 2.31559 | + | 0.766289i | ||||
\(729\) | −76.4019 | − | 724.985i | −0.104804 | − | 0.994493i | ||||
\(730\) | −1584.73 | + | 632.356i | −2.17086 | + | 0.866241i | ||||
\(731\) | 187.775 | − | 389.919i | 0.256874 | − | 0.533404i | ||||
\(732\) | 294.957 | + | 692.146i | 0.402947 | + | 0.945555i | ||||
\(733\) | −153.691 | − | 244.598i | −0.209674 | − | 0.333694i | 0.725286 | − | 0.688448i | \(-0.241708\pi\) |
−0.934960 | + | 0.354754i | \(0.884565\pi\) | |||||||
\(734\) | −344.183 | + | 1138.70i | −0.468914 | + | 1.55137i | ||||
\(735\) | −1222.57 | − | 24.3330i | −1.66336 | − | 0.0331061i | ||||
\(736\) | −1.94341 | + | 1.52129i | −0.00264051 | + | 0.00206696i | ||||
\(737\) | −44.7635 | − | 44.7635i | −0.0607375 | − | 0.0607375i | ||||
\(738\) | −50.6067 | + | 462.746i | −0.0685727 | + | 0.627027i | ||||
\(739\) | 558.345 | − | 195.373i | 0.755541 | − | 0.264375i | 0.0750979 | − | 0.997176i | \(-0.476073\pi\) |
0.680443 | + | 0.732801i | \(0.261787\pi\) | |||||||
\(740\) | −361.386 | − | 1798.06i | −0.488360 | − | 2.42982i | ||||
\(741\) | 296.488 | − | 27.4436i | 0.400118 | − | 0.0370358i | ||||
\(742\) | 266.003 | + | 305.578i | 0.358494 | + | 0.411830i | ||||
\(743\) | −488.864 | − | 307.174i | −0.657960 | − | 0.413423i | 0.161253 | − | 0.986913i | \(-0.448446\pi\) |
−0.819213 | + | 0.573490i | \(0.805589\pi\) | |||||||
\(744\) | 145.339 | − | 628.411i | 0.195348 | − | 0.844638i | ||||
\(745\) | −199.440 | + | 873.803i | −0.267704 | + | 1.17289i | ||||
\(746\) | −234.061 | + | 125.409i | −0.313755 | + | 0.168108i | ||||
\(747\) | −58.1350 | + | 25.1981i | −0.0778247 | + | 0.0337324i | ||||
\(748\) | 15.2370 | − | 22.9025i | 0.0203703 | − | 0.0306183i | ||||
\(749\) | −349.324 | − | 725.378i | −0.466387 | − | 0.968462i | ||||
\(750\) | 750.215 | + | 897.278i | 1.00029 | + | 1.19637i | ||||
\(751\) | 70.1828 | − | 622.890i | 0.0934525 | − | 0.829414i | −0.856314 | − | 0.516455i | \(-0.827251\pi\) |
0.949767 | − | 0.312959i | \(-0.101320\pi\) | |||||||
\(752\) | 392.095 | − | 557.302i | 0.521402 | − | 0.741094i | ||||
\(753\) | 72.5215 | − | 545.791i | 0.0963101 | − | 0.724822i | ||||
\(754\) | 859.707 | − | 986.757i | 1.14019 | − | 1.30870i | ||||
\(755\) | 2284.77 | 3.02619 | ||||||||
\(756\) | 812.778 | − | 684.095i | 1.07510 | − | 0.904888i | ||||
\(757\) | 84.4965 | − | 749.927i | 0.111620 | − | 0.990656i | −0.805650 | − | 0.592391i | \(-0.798184\pi\) |
0.917270 | − | 0.398265i | \(-0.130388\pi\) | |||||||
\(758\) | 97.3350 | − | 106.103i | 0.128410 | − | 0.139977i | ||||
\(759\) | −0.0414501 | − | 0.126477i | −5.46115e−5 | − | 0.000166636i | ||||
\(760\) | −183.226 | + | 237.955i | −0.241087 | + | 0.313098i | ||||
\(761\) | 3.82796 | − | 3.05270i | 0.00503017 | − | 0.00401143i | −0.620971 | − | 0.783833i | \(-0.713262\pi\) |
0.626002 | + | 0.779822i | \(0.284690\pi\) | |||||||
\(762\) | −1072.58 | + | 403.440i | −1.40758 | + | 0.529449i | ||||
\(763\) | −125.267 | + | 548.831i | −0.164177 | + | 0.719307i | ||||
\(764\) | 9.96129 | − | 382.221i | 0.0130383 | − | 0.500290i | ||||
\(765\) | 674.658 | − | 622.983i | 0.881905 | − | 0.814357i | ||||
\(766\) | 850.485 | − | 740.340i | 1.11029 | − | 0.966501i | ||||
\(767\) | −894.571 | + | 204.180i | −1.16632 | + | 0.266206i | ||||
\(768\) | 262.279 | − | 721.827i | 0.341510 | − | 0.939878i | ||||
\(769\) | −871.164 | + | 304.834i | −1.13285 | + | 0.396403i | −0.830625 | − | 0.556833i | \(-0.812016\pi\) |
−0.302229 | + | 0.953235i | \(0.597731\pi\) | |||||||
\(770\) | −14.9365 | − | 95.4214i | −0.0193980 | − | 0.123924i | ||||
\(771\) | −722.443 | + | 552.974i | −0.937021 | + | 0.717216i | ||||
\(772\) | 267.992 | + | 225.385i | 0.347140 | + | 0.291950i | ||||
\(773\) | 82.5542 | + | 732.689i | 0.106797 | + | 0.947852i | 0.926816 | + | 0.375515i | \(0.122534\pi\) |
−0.820019 | + | 0.572336i | \(0.806037\pi\) | |||||||
\(774\) | 552.856 | + | 344.865i | 0.714284 | + | 0.445562i | ||||
\(775\) | −684.032 | − | 1088.63i | −0.882622 | − | 1.40469i | ||||
\(776\) | −1028.25 | + | 516.912i | −1.32506 | + | 0.666124i | ||||
\(777\) | −870.004 | + | 1325.31i | −1.11970 | + | 1.70567i | ||||
\(778\) | 238.729 | + | 598.270i | 0.306849 | + | 0.768985i | ||||
\(779\) | −70.9244 | + | 88.9364i | −0.0910455 | + | 0.114167i | ||||
\(780\) | −862.658 | + | 2143.90i | −1.10597 | + | 2.74858i | ||||
\(781\) | 10.8708 | − | 31.0669i | 0.0139190 | − | 0.0397783i | ||||
\(782\) | 1.83970 | + | 0.127377i | 0.00235256 | + | 0.000162887i | ||||
\(783\) | −233.280 | − | 747.442i | −0.297931 | − | 0.954587i | ||||
\(784\) | 735.115 | + | 208.611i | 0.937646 | + | 0.266086i | ||||
\(785\) | 24.6097 | − | 70.3304i | 0.0313499 | − | 0.0895928i | ||||
\(786\) | −246.312 | + | 759.962i | −0.313374 | + | 0.966873i | ||||
\(787\) | −611.914 | + | 767.316i | −0.777527 | + | 0.974988i | 0.222473 | + | 0.974939i | \(0.428587\pi\) |
−1.00000 | 4.94981e-5i | \(0.999984\pi\) | ||||||||
\(788\) | 542.835 | − | 174.210i | 0.688876 | − | 0.221079i | ||||
\(789\) | 235.134 | − | 358.187i | 0.298015 | − | 0.453977i | ||||
\(790\) | 815.544 | + | 1181.73i | 1.03233 | + | 1.49586i | ||||
\(791\) | −660.678 | − | 1051.46i | −0.835244 | − | 1.32928i | ||||
\(792\) | 31.7841 | + | 26.5539i | 0.0401314 | + | 0.0335276i | ||||
\(793\) | 158.400 | + | 1405.84i | 0.199748 | + | 1.77281i | ||||
\(794\) | −40.9042 | + | 56.0862i | −0.0515166 | + | 0.0706376i | ||||
\(795\) | −418.695 | + | 320.478i | −0.526661 | + | 0.403117i | ||||
\(796\) | 24.8170 | + | 287.375i | 0.0311772 | + | 0.361023i | ||||
\(797\) | −714.650 | + | 250.067i | −0.896675 | + | 0.313760i | −0.738980 | − | 0.673728i | \(-0.764692\pi\) |
−0.157695 | + | 0.987488i | \(0.550406\pi\) | |||||||
\(798\) | 257.229 | − | 35.0357i | 0.322342 | − | 0.0439043i | ||||
\(799\) | −496.386 | + | 113.297i | −0.621259 | + | 0.141798i | ||||
\(800\) | −651.729 | − | 1385.22i | −0.814661 | − | 1.73153i | ||||
\(801\) | −325.544 | + | 300.610i | −0.406422 | + | 0.375293i | ||||
\(802\) | −31.6344 | − | 733.999i | −0.0394444 | − | 0.915211i | ||||
\(803\) | −12.7949 | + | 56.0581i | −0.0159339 | + | 0.0698108i | ||||
\(804\) | 378.449 | + | 1265.23i | 0.470707 | + | 1.57368i | ||||
\(805\) | 5.06225 | − | 4.03701i | 0.00628851 | − | 0.00501492i | ||||
\(806\) | 600.449 | − | 1053.77i | 0.744974 | − | 1.30740i | ||||
\(807\) | −356.240 | − | 1086.99i | −0.441437 | − | 1.34695i | ||||
\(808\) | 810.864 | + | 982.035i | 1.00354 | + | 1.21539i | ||||
\(809\) | 148.484 | − | 1317.84i | 0.183541 | − | 1.62897i | −0.477509 | − | 0.878627i | \(-0.658460\pi\) |
0.661050 | − | 0.750342i | \(-0.270111\pi\) | |||||||
\(810\) | 821.990 | + | 1111.73i | 1.01480 | + | 1.37251i | ||||
\(811\) | −287.423 | −0.354406 | −0.177203 | − | 0.984174i | \(-0.556705\pi\) | ||||
−0.177203 | + | 0.984174i | \(0.556705\pi\) | |||||||
\(812\) | 711.813 | − | 891.801i | 0.876617 | − | 1.09828i | ||||
\(813\) | −151.300 | + | 1138.67i | −0.186101 | + | 1.40058i | ||||
\(814\) | −56.7885 | − | 24.3941i | −0.0697647 | − | 0.0299681i | ||||
\(815\) | −219.855 | + | 1951.26i | −0.269760 | + | 2.39419i | ||||
\(816\) | −506.599 | + | 269.555i | −0.620832 | + | 0.330337i | ||||
\(817\) | 69.0869 | + | 143.461i | 0.0845617 | + | 0.175594i | ||||
\(818\) | 489.810 | − | 859.599i | 0.598790 | − | 1.05086i | ||||
\(819\) | 1832.85 | − | 794.431i | 2.23791 | − | 0.970001i | ||||
\(820\) | −362.210 | − | 805.149i | −0.441719 | − | 0.981889i | ||||
\(821\) | −36.0936 | + | 158.136i | −0.0439630 | + | 0.192614i | −0.992141 | − | 0.125125i | \(-0.960067\pi\) |
0.948178 | + | 0.317740i | \(0.102924\pi\) | |||||||
\(822\) | 673.851 | + | 60.1508i | 0.819770 | + | 0.0731761i | ||||
\(823\) | 427.280 | + | 268.478i | 0.519173 | + | 0.326218i | 0.765999 | − | 0.642842i | \(-0.222245\pi\) |
−0.246826 | + | 0.969060i | \(0.579388\pi\) | |||||||
\(824\) | 58.2223 | + | 89.2521i | 0.0706581 | + | 0.108316i | ||||
\(825\) | 82.2057 | − | 7.60914i | 0.0996433 | − | 0.00922320i | ||||
\(826\) | −771.561 | + | 211.437i | −0.934093 | + | 0.255977i | ||||
\(827\) | −71.0209 | + | 24.8513i | −0.0858778 | + | 0.0300499i | −0.372876 | − | 0.927881i | \(-0.621628\pi\) |
0.286998 | + | 0.957931i | \(0.407343\pi\) | |||||||
\(828\) | −0.491771 | + | 2.73263i | −0.000593926 | + | 0.00330028i | ||||
\(829\) | 491.492 | + | 491.492i | 0.592873 | + | 0.592873i | 0.938406 | − | 0.345533i | \(-0.112302\pi\) |
−0.345533 | + | 0.938406i | \(0.612302\pi\) | |||||||
\(830\) | 70.8096 | − | 97.0914i | 0.0853128 | − | 0.116978i | ||||
\(831\) | 747.070 | + | 14.8690i | 0.899001 | + | 0.0178929i | ||||
\(832\) | 861.455 | − | 1159.04i | 1.03540 | − | 1.39308i | ||||
\(833\) | −303.772 | − | 483.450i | −0.364672 | − | 0.580372i | ||||
\(834\) | −402.673 | − | 788.864i | −0.482822 | − | 0.945880i | ||||
\(835\) | −948.109 | + | 1968.77i | −1.13546 | + | 2.35781i | ||||
\(836\) | 3.09269 | + | 9.63674i | 0.00369939 | + | 0.0115272i | ||||
\(837\) | −348.708 | − | 636.343i | −0.416617 | − | 0.760266i | ||||
\(838\) | −1054.23 | − | 193.284i | −1.25803 | − | 0.230649i | ||||
\(839\) | 303.103 | − | 866.220i | 0.361267 | − | 1.03244i | −0.609576 | − | 0.792728i | \(-0.708660\pi\) |
0.970843 | − | 0.239715i | \(-0.0770541\pi\) | |||||||
\(840\) | −670.943 | + | 1899.85i | −0.798742 | + | 2.26173i | ||||
\(841\) | −403.236 | − | 738.026i | −0.479472 | − | 0.877557i | ||||
\(842\) | 358.028 | + | 24.7892i | 0.425212 | + | 0.0294408i | ||||
\(843\) | −36.8839 | + | 72.8454i | −0.0437531 | + | 0.0864122i | ||||
\(844\) | −565.078 | − | 144.562i | −0.669523 | − | 0.171282i | ||||
\(845\) | −1810.03 | + | 2269.71i | −2.14205 | + | 2.68604i | ||||
\(846\) | −88.3222 | − | 761.485i | −0.104400 | − | 0.900100i | ||||
\(847\) | 1069.43 | + | 515.009i | 1.26261 | + | 0.608039i | ||||
\(848\) | 303.906 | − | 127.304i | 0.358380 | − | 0.150123i | ||||
\(849\) | 1037.92 | − | 474.631i | 1.22253 | − | 0.559047i | ||||
\(850\) | −330.957 | + | 1094.95i | −0.389361 | + | 1.28817i | ||||
\(851\) | −0.463917 | − | 4.11737i | −0.000545143 | − | 0.00483828i | ||||
\(852\) | −507.308 | + | 462.698i | −0.595431 | + | 0.543073i | ||||
\(853\) | −193.212 | + | 193.212i | −0.226509 | + | 0.226509i | −0.811233 | − | 0.584724i | \(-0.801203\pi\) |
0.584724 | + | 0.811233i | \(0.301203\pi\) | |||||||
\(854\) | 190.754 | + | 1218.63i | 0.223365 | + | 1.42696i | ||||
\(855\) | 24.4396 | + | 336.979i | 0.0285843 | + | 0.394127i | ||||
\(856\) | −649.327 | + | 84.3736i | −0.758559 | + | 0.0985673i | ||||
\(857\) | −903.739 | + | 206.272i | −1.05454 | + | 0.240691i | −0.714438 | − | 0.699698i | \(-0.753318\pi\) |
−0.340099 | + | 0.940390i | \(0.610461\pi\) | |||||||
\(858\) | 42.9505 | + | 64.9638i | 0.0500588 | + | 0.0757154i | ||||
\(859\) | 92.9570 | − | 147.940i | 0.108215 | − | 0.172224i | −0.788226 | − | 0.615385i | \(-0.789000\pi\) |
0.896442 | + | 0.443162i | \(0.146143\pi\) | |||||||
\(860\) | −1235.39 | − | 32.1963i | −1.43651 | − | 0.0374376i | ||||
\(861\) | −266.342 | + | 715.181i | −0.309340 | + | 0.830640i | ||||
\(862\) | 964.016 | − | 516.514i | 1.11835 | − | 0.599204i | ||||
\(863\) | 683.432 | − | 545.019i | 0.791926 | − | 0.631540i | −0.141651 | − | 0.989917i | \(-0.545241\pi\) |
0.933577 | + | 0.358377i | \(0.116670\pi\) | |||||||
\(864\) | −320.522 | − | 802.348i | −0.370975 | − | 0.928643i | ||||
\(865\) | 1709.94 | − | 823.463i | 1.97681 | − | 0.951981i | ||||
\(866\) | 445.432 | − | 485.556i | 0.514355 | − | 0.560688i | ||||
\(867\) | −425.209 | − | 105.996i | −0.490437 | − | 0.122256i | ||||
\(868\) | 483.468 | − | 940.438i | 0.556991 | − | 1.08345i | ||||
\(869\) | 48.3869 | 0.0556812 | ||||||||
\(870\) | 1100.04 | + | 997.601i | 1.26442 | + | 1.14667i | ||||
\(871\) | 2483.25i | 2.85103i | ||||||||
\(872\) | 391.750 | + | 236.952i | 0.449255 | + | 0.271734i | ||||
\(873\) | −475.908 | + | 1204.08i | −0.545140 | + | 1.37925i | ||||
\(874\) | −0.458663 | + | 0.499979i | −0.000524786 | + | 0.000572059i | ||||
\(875\) | 831.954 | + | 1727.57i | 0.950805 | + | 1.97437i | ||||
\(876\) | 790.177 | − | 902.468i | 0.902029 | − | 1.03022i | ||||
\(877\) | −421.833 | − | 528.962i | −0.480995 | − | 0.603149i | 0.480830 | − | 0.876814i | \(-0.340335\pi\) |
−0.961825 | + | 0.273665i | \(0.911764\pi\) | |||||||
\(878\) | −166.004 | + | 88.9437i | −0.189070 | + | 0.101303i | ||||
\(879\) | 260.912 | − | 700.602i | 0.296829 | − | 0.797044i | ||||
\(880\) | −77.4922 | − | 12.8487i | −0.0880593 | − | 0.0146008i | ||||
\(881\) | −465.381 | − | 292.418i | −0.528242 | − | 0.331917i | 0.241365 | − | 0.970434i | \(-0.422405\pi\) |
−0.769607 | + | 0.638518i | \(0.779548\pi\) | |||||||
\(882\) | 773.302 | − | 375.524i | 0.876759 | − | 0.425764i | ||||
\(883\) | −69.6525 | − | 305.168i | −0.0788817 | − | 0.345603i | 0.920051 | − | 0.391799i | \(-0.128147\pi\) |
−0.998932 | + | 0.0461961i | \(0.985290\pi\) | |||||||
\(884\) | −1057.89 | + | 212.621i | −1.19671 | + | 0.240522i | ||||
\(885\) | −211.439 | − | 1019.48i | −0.238914 | − | 1.15196i | ||||
\(886\) | 53.4439 | + | 341.425i | 0.0603204 | + | 0.385356i | ||||
\(887\) | −556.628 | − | 556.628i | −0.627540 | − | 0.627540i | 0.319909 | − | 0.947448i | \(-0.396348\pi\) |
−0.947448 | + | 0.319909i | \(0.896348\pi\) | |||||||
\(888\) | 800.986 | + | 1010.37i | 0.902011 | + | 1.13780i | ||||
\(889\) | −1866.88 | + | 210.347i | −2.09998 | + | 0.236611i | ||||
\(890\) | 243.151 | − | 804.449i | 0.273204 | − | 0.903876i | ||||
\(891\) | 46.5689 | − | 1.51858i | 0.0522659 | − | 0.00170436i | ||||
\(892\) | −508.731 | − | 858.507i | −0.570326 | − | 0.962452i | ||||
\(893\) | 81.2790 | − | 168.778i | 0.0910179 | − | 0.189001i | ||||
\(894\) | −154.405 | − | 610.885i | −0.172713 | − | 0.683317i | ||||
\(895\) | −606.544 | − | 483.703i | −0.677703 | − | 0.540450i | ||||
\(896\) | 706.868 | − | 1041.94i | 0.788916 | − | 1.16288i | ||||
\(897\) | −2.35842 | + | 4.65785i | −0.00262923 | + | 0.00519270i | ||||
\(898\) | −100.777 | − | 6.97763i | −0.112224 | − | 0.00777019i | ||||
\(899\) | −501.386 | − | 596.687i | −0.557715 | − | 0.663723i | ||||
\(900\) | −1584.64 | − | 674.565i | −1.76071 | − | 0.749517i | ||||
\(901\) | −232.381 | − | 81.3135i | −0.257914 | − | 0.0902481i | ||||
\(902\) | −29.2648 | − | 5.36544i | −0.0324443 | − | 0.00594838i | ||||
\(903\) | 740.189 | + | 770.252i | 0.819700 | + | 0.852992i | ||||
\(904\) | −980.655 | + | 241.455i | −1.08479 | + | 0.267096i | ||||
\(905\) | 478.695 | + | 230.527i | 0.528945 | + | 0.254726i | ||||
\(906\) | −1430.63 | + | 730.262i | −1.57906 | + | 0.806029i | ||||
\(907\) | 187.357 | − | 117.724i | 0.206567 | − | 0.129795i | −0.424775 | − | 0.905299i | \(-0.639647\pi\) |
0.631343 | + | 0.775504i | \(0.282504\pi\) | |||||||
\(908\) | 42.2720 | + | 16.0396i | 0.0465550 | + | 0.0176647i | ||||
\(909\) | 1416.21 | + | 216.938i | 1.55799 | + | 0.238656i | ||||
\(910\) | −2232.45 | + | 3061.05i | −2.45324 | + | 3.36379i | ||||
\(911\) | 865.075 | − | 865.075i | 0.949588 | − | 0.949588i | −0.0492007 | − | 0.998789i | \(-0.515667\pi\) |
0.998789 | + | 0.0492007i | \(0.0156674\pi\) | |||||||
\(912\) | 38.6735 | − | 207.561i | 0.0424052 | − | 0.227588i | ||||
\(913\) | −1.33753 | − | 3.82244i | −0.00146498 | − | 0.00418668i | ||||
\(914\) | 382.214 | − | 104.741i | 0.418177 | − | 0.114596i | ||||
\(915\) | −1598.48 | + | 147.958i | −1.74697 | + | 0.161703i | ||||
\(916\) | −598.039 | − | 791.365i | −0.652881 | − | 0.863935i | ||||
\(917\) | −696.810 | + | 1108.97i | −0.759880 | + | 1.20934i | ||||
\(918\) | −223.325 | + | 605.722i | −0.243273 | + | 0.659828i | ||||
\(919\) | −1386.03 | − | 316.352i | −1.50819 | − | 0.344235i | −0.613060 | − | 0.790037i | \(-0.710061\pi\) |
−0.895132 | + | 0.445802i | \(0.852919\pi\) | |||||||
\(920\) | −1.82355 | − | 4.94011i | −0.00198212 | − | 0.00536969i | ||||
\(921\) | −153.700 | − | 255.773i | −0.166884 | − | 0.277712i | ||||
\(922\) | −109.516 | + | 192.197i | −0.118781 | + | 0.208457i | ||||
\(923\) | −1163.24 | + | 560.188i | −1.26028 | + | 0.606921i | ||||
\(924\) | 39.8514 | + | 54.9750i | 0.0431292 | + | 0.0594968i | ||||
\(925\) | 2553.94 | + | 287.760i | 2.76102 | + | 0.311092i | ||||
\(926\) | 426.090 | + | 183.031i | 0.460140 | + | 0.197658i | ||||
\(927\) | 115.724 | + | 31.3062i | 0.124837 | + | 0.0337715i | ||||
\(928\) | −506.691 | − | 777.463i | −0.546003 | − | 0.837783i | ||||
\(929\) | − | 925.055i | − | 0.995754i | −0.867248 | − | 0.497877i | \(-0.834113\pi\) | ||
0.867248 | − | 0.497877i | \(-0.165887\pi\) | |||||||
\(930\) | 1181.92 | + | 704.991i | 1.27088 | + | 0.758055i | ||||
\(931\) | 208.751 | + | 23.5206i | 0.224222 | + | 0.0252638i | ||||
\(932\) | 704.045 | − | 668.280i | 0.755413 | − | 0.717038i | ||||
\(933\) | 157.513 | + | 480.619i | 0.168824 | + | 0.515133i | ||||
\(934\) | 783.317 | − | 1374.69i | 0.838669 | − | 1.47183i | ||||
\(935\) | 36.5942 | + | 45.8877i | 0.0391382 | + | 0.0490777i | ||||
\(936\) | −145.073 | − | 1618.14i | −0.154993 | − | 1.72879i | ||||
\(937\) | 206.553 | + | 47.1444i | 0.220441 | + | 0.0503142i | 0.331315 | − | 0.943520i | \(-0.392508\pi\) |
−0.110874 | + | 0.993834i | \(0.535365\pi\) | |||||||
\(938\) | 93.2253 | + | 2163.07i | 0.0993873 | + | 2.30604i | ||||
\(939\) | −169.983 | + | 204.661i | −0.181026 | + | 0.217957i | ||||
\(940\) | 876.572 | + | 1159.94i | 0.932523 | + | 1.23398i | ||||
\(941\) | −278.978 | − | 1222.28i | −0.296470 | − | 1.29892i | −0.875343 | − | 0.483502i | \(-0.839365\pi\) |
0.578874 | − | 0.815417i | \(-0.303492\pi\) | |||||||
\(942\) | 7.06952 | + | 51.9038i | 0.00750480 | + | 0.0550996i | ||||
\(943\) | −0.658769 | − | 1.88265i | −0.000698589 | − | 0.00199645i | ||||
\(944\) | −33.8902 | + | 649.754i | −0.0359006 | + | 0.688299i | ||||
\(945\) | 859.881 | + | 2097.27i | 0.909926 | + | 2.21933i | ||||
\(946\) | −24.5402 | + | 33.6486i | −0.0259410 | + | 0.0355693i | ||||
\(947\) | 814.131 | − | 91.7306i | 0.859695 | − | 0.0968644i | 0.328900 | − | 0.944365i | \(-0.393322\pi\) |
0.530795 | + | 0.847500i | \(0.321893\pi\) | |||||||
\(948\) | −888.366 | − | 479.284i | −0.937095 | − | 0.505574i | ||||
\(949\) | 1909.80 | − | 1200.01i | 2.01244 | − | 1.26450i | ||||
\(950\) | −239.046 | − | 346.379i | −0.251628 | − | 0.364609i | ||||
\(951\) | −705.342 | + | 1074.47i | −0.741685 | + | 1.12983i | ||||
\(952\) | −913.505 | + | 224.921i | −0.959564 | + | 0.236262i | ||||
\(953\) | 793.016 | + | 632.409i | 0.832126 | + | 0.663598i | 0.943935 | − | 0.330131i | \(-0.107093\pi\) |
−0.111809 | + | 0.993730i | \(0.535664\pi\) | |||||||
\(954\) | 159.738 | − | 334.495i | 0.167441 | − | 0.350623i | ||||
\(955\) | 770.027 | + | 269.444i | 0.806311 | + | 0.282140i | ||||
\(956\) | −163.270 | + | 1173.39i | −0.170784 | + | 1.22740i | ||||
\(957\) | 48.7258 | − | 11.4153i | 0.0509151 | − | 0.0119282i | ||||
\(958\) | −781.099 | − | 54.0818i | −0.815344 | − | 0.0564528i | ||||
\(959\) | 1046.89 | + | 366.322i | 1.09164 | + | 0.381983i | ||||
\(960\) | 1295.46 | + | 1003.47i | 1.34944 | + | 1.04529i | ||||
\(961\) | 186.652 | + | 148.850i | 0.194227 | + | 0.154891i | ||||
\(962\) | 898.537 | + | 2251.79i | 0.934030 | + | 2.34074i | ||||
\(963\) | −481.836 | + | 557.192i | −0.500349 | + | 0.578600i | ||||
\(964\) | 48.7368 | + | 82.2456i | 0.0505569 | + | 0.0853170i | ||||
\(965\) | −632.623 | + | 397.503i | −0.655568 | + | 0.411920i | ||||
\(966\) | −1.87946 | + | 4.14582i | −0.00194561 | + | 0.00429174i | ||||
\(967\) | 567.723 | − | 63.9670i | 0.587097 | − | 0.0661499i | 0.186581 | − | 0.982440i | \(-0.440259\pi\) |
0.400516 | + | 0.916290i | \(0.368831\pi\) | |||||||
\(968\) | 670.894 | − | 694.124i | 0.693072 | − | 0.717070i | ||||
\(969\) | −125.273 | + | 95.8867i | −0.129281 | + | 0.0989543i | ||||
\(970\) | −379.748 | − | 2426.01i | −0.391492 | − | 2.50104i | ||||
\(971\) | −141.332 | − | 403.904i | −0.145553 | − | 0.415967i | 0.847907 | − | 0.530145i | \(-0.177862\pi\) |
−0.993460 | + | 0.114178i | \(0.963577\pi\) | |||||||
\(972\) | −870.030 | − | 433.396i | −0.895093 | − | 0.445880i | ||||
\(973\) | −323.108 | − | 1415.63i | −0.332074 | − | 1.45491i | ||||
\(974\) | −1084.22 | + | 943.806i | −1.11316 | + | 0.969000i | ||||
\(975\) | −2491.23 | − | 2069.12i | −2.55511 | − | 2.12217i | ||||
\(976\) | 989.653 | + | 164.090i | 1.01399 | + | 0.168125i | ||||
\(977\) | −890.386 | − | 203.225i | −0.911347 | − | 0.208009i | −0.258954 | − | 0.965890i | \(-0.583378\pi\) |
−0.652393 | + | 0.757881i | \(0.726235\pi\) | |||||||
\(978\) | −486.002 | − | 1292.07i | −0.496934 | − | 1.32114i | ||||
\(979\) | −17.6579 | − | 22.1423i | −0.0180367 | − | 0.0226173i | ||||
\(980\) | −903.106 | + | 1357.45i | −0.921537 | + | 1.38515i | ||||
\(981\) | 506.316 | − | 94.5414i | 0.516122 | − | 0.0963725i | ||||
\(982\) | −484.849 | + | 528.524i | −0.493737 | + | 0.538212i | ||||
\(983\) | −1139.81 | − | 128.426i | −1.15953 | − | 0.130647i | −0.488830 | − | 0.872379i | \(-0.662576\pi\) |
−0.670697 | + | 0.741732i | \(0.734005\pi\) | |||||||
\(984\) | 484.144 | + | 388.382i | 0.492016 | + | 0.394697i | ||||
\(985\) | 1216.41i | 1.23493i | ||||||||
\(986\) | −107.527 | + | 685.012i | −0.109054 | + | 0.694739i | ||||
\(987\) | 165.538 | − | 1245.82i | 0.167718 | − | 1.26223i | ||||
\(988\) | 181.515 | − | 353.082i | 0.183720 | − | 0.357370i | ||||
\(989\) | −2.77440 | − | 0.312600i | −0.00280526 | − | 0.000316077i | ||||
\(990\) | −74.6699 | + | 47.2596i | −0.0754242 | + | 0.0477370i | ||||
\(991\) | 852.219 | − | 410.407i | 0.859958 | − | 0.414134i | 0.0486940 | − | 0.998814i | \(-0.484494\pi\) |
0.811264 | + | 0.584680i | \(0.198780\pi\) | |||||||
\(992\) | −602.589 | − | 613.583i | −0.607449 | − | 0.618531i | ||||
\(993\) | −1310.49 | + | 787.502i | −1.31972 | + | 0.793053i | ||||
\(994\) | −992.225 | + | 531.628i | −0.998215 | + | 0.534837i | ||||
\(995\) | −600.011 | − | 136.949i | −0.603026 | − | 0.137637i | ||||
\(996\) | −13.3056 | + | 83.4270i | −0.0133590 | + | 0.0837621i | ||||
\(997\) | 398.602 | − | 634.371i | 0.399801 | − | 0.636280i | −0.584783 | − | 0.811190i | \(-0.698820\pi\) |
0.984584 | + | 0.174910i | \(0.0559633\pi\) | |||||||
\(998\) | −866.821 | − | 995.785i | −0.868559 | − | 0.997780i | ||||
\(999\) | 1429.14 | + | 248.120i | 1.43057 | + | 0.248368i |
(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 | 348.3.v.a.95.15 | yes | 1392 | |
3.2 | odd | 2 | inner | 348.3.v.a.95.102 | yes | 1392 | |
4.3 | odd | 2 | inner | 348.3.v.a.95.108 | yes | 1392 | |
12.11 | even | 2 | inner | 348.3.v.a.95.9 | yes | 1392 | |
29.11 | odd | 28 | inner | 348.3.v.a.11.9 | ✓ | 1392 | |
87.11 | even | 28 | inner | 348.3.v.a.11.108 | yes | 1392 | |
116.11 | even | 28 | inner | 348.3.v.a.11.102 | yes | 1392 | |
348.11 | odd | 28 | inner | 348.3.v.a.11.15 | yes | 1392 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
348.3.v.a.11.9 | ✓ | 1392 | 29.11 | odd | 28 | inner | |
348.3.v.a.11.15 | yes | 1392 | 348.11 | odd | 28 | inner | |
348.3.v.a.11.102 | yes | 1392 | 116.11 | even | 28 | inner | |
348.3.v.a.11.108 | yes | 1392 | 87.11 | even | 28 | inner | |
348.3.v.a.95.9 | yes | 1392 | 12.11 | even | 2 | inner | |
348.3.v.a.95.15 | yes | 1392 | 1.1 | even | 1 | trivial | |
348.3.v.a.95.102 | yes | 1392 | 3.2 | odd | 2 | inner | |
348.3.v.a.95.108 | yes | 1392 | 4.3 | odd | 2 | inner |