Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [336,3,Mod(61,336)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(336, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 0, 10]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("336.61");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 336 = 2^{4} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 336.bv (of order \(12\), degree \(4\), 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: | \(9.15533688251\) |
Analytic rank: | \(0\) |
Dimension: | \(256\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 325.25 | ||
Character | \(\chi\) | \(=\) | 336.325 |
Dual form | 336.3.bv.a.61.25 |
$q$-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 \(\left(\mathbb{Z}/336\mathbb{Z}\right)^\times\).
\(n\) | \(85\) | \(113\) | \(127\) | \(241\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(1\) | \(1\) | \(e\left(\frac{1}{6}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.620287 | − | 1.90138i | −0.310144 | − | 0.950690i | ||||
\(3\) | 1.67303 | − | 0.448288i | 0.557678 | − | 0.149429i | ||||
\(4\) | −3.23049 | + | 2.35880i | −0.807622 | + | 0.589701i | ||||
\(5\) | −3.50467 | − | 0.939075i | −0.700935 | − | 0.187815i | −0.109286 | − | 0.994010i | \(-0.534856\pi\) |
−0.591649 | + | 0.806195i | \(0.701523\pi\) | |||||||
\(6\) | −1.89013 | − | 2.90300i | −0.315021 | − | 0.483834i | ||||
\(7\) | −1.65530 | + | 6.80147i | −0.236471 | + | 0.971638i | ||||
\(8\) | 6.48881 | + | 4.67925i | 0.811101 | + | 0.584906i | ||||
\(9\) | 2.59808 | − | 1.50000i | 0.288675 | − | 0.166667i | ||||
\(10\) | 0.388368 | + | 7.24621i | 0.0388368 | + | 0.724621i | ||||
\(11\) | 14.5964 | − | 3.91109i | 1.32695 | − | 0.355554i | 0.475370 | − | 0.879786i | \(-0.342314\pi\) |
0.851576 | + | 0.524232i | \(0.175647\pi\) | |||||||
\(12\) | −4.34729 | + | 5.39454i | −0.362274 | + | 0.449545i | ||||
\(13\) | 0.646638 | + | 0.646638i | 0.0497414 | + | 0.0497414i | 0.731540 | − | 0.681799i | \(-0.238802\pi\) |
−0.681799 | + | 0.731540i | \(0.738802\pi\) | |||||||
\(14\) | 13.9589 | − | 1.07151i | 0.997067 | − | 0.0765367i | ||||
\(15\) | −6.28441 | −0.418961 | ||||||||
\(16\) | 4.87210 | − | 15.2402i | 0.304506 | − | 0.952510i | ||||
\(17\) | 17.0461 | + | 9.84156i | 1.00271 | + | 0.578915i | 0.909049 | − | 0.416689i | \(-0.136810\pi\) |
0.0936612 | + | 0.995604i | \(0.470143\pi\) | |||||||
\(18\) | −4.46362 | − | 4.00950i | −0.247979 | − | 0.222750i | ||||
\(19\) | 8.72952 | − | 32.5790i | 0.459448 | − | 1.71468i | −0.215223 | − | 0.976565i | \(-0.569048\pi\) |
0.674671 | − | 0.738119i | \(-0.264286\pi\) | |||||||
\(20\) | 13.5369 | − | 5.23317i | 0.676845 | − | 0.261658i | ||||
\(21\) | 0.279646 | + | 12.1211i | 0.0133165 | + | 0.577197i | ||||
\(22\) | −16.4904 | − | 25.3273i | −0.749565 | − | 1.15124i | ||||
\(23\) | 3.45699 | − | 1.99589i | 0.150304 | − | 0.0867779i | −0.422962 | − | 0.906147i | \(-0.639010\pi\) |
0.573266 | + | 0.819370i | \(0.305676\pi\) | |||||||
\(24\) | 12.9536 | + | 4.91968i | 0.539735 | + | 0.204987i | ||||
\(25\) | −10.2498 | − | 5.91770i | −0.409990 | − | 0.236708i | ||||
\(26\) | 0.828402 | − | 1.63060i | 0.0318616 | − | 0.0627156i | ||||
\(27\) | 3.67423 | − | 3.67423i | 0.136083 | − | 0.136083i | ||||
\(28\) | −10.6959 | − | 25.8766i | −0.381997 | − | 0.924164i | ||||
\(29\) | 7.69205 | − | 7.69205i | 0.265243 | − | 0.265243i | −0.561937 | − | 0.827180i | \(-0.689944\pi\) |
0.827180 | + | 0.561937i | \(0.189944\pi\) | |||||||
\(30\) | 3.89814 | + | 11.9490i | 0.129938 | + | 0.398302i | ||||
\(31\) | 44.7719 | + | 25.8491i | 1.44426 | + | 0.833842i | 0.998130 | − | 0.0611281i | \(-0.0194698\pi\) |
0.446126 | + | 0.894970i | \(0.352803\pi\) | |||||||
\(32\) | −31.9994 | + | 0.189578i | −0.999982 | + | 0.00592431i | ||||
\(33\) | 22.6670 | − | 13.0868i | 0.686878 | − | 0.396569i | ||||
\(34\) | 8.13907 | − | 38.5156i | 0.239384 | − | 1.13281i | ||||
\(35\) | 12.1884 | − | 22.2825i | 0.348239 | − | 0.636642i | ||||
\(36\) | −4.85485 | + | 10.9741i | −0.134857 | + | 0.304836i | ||||
\(37\) | −8.90502 | + | 33.2340i | −0.240676 | + | 0.898216i | 0.734831 | + | 0.678250i | \(0.237261\pi\) |
−0.975508 | + | 0.219966i | \(0.929405\pi\) | |||||||
\(38\) | −67.3598 | + | 3.61022i | −1.77263 | + | 0.0950057i | ||||
\(39\) | 1.37173 | + | 0.791966i | 0.0351725 | + | 0.0203068i | ||||
\(40\) | −18.3470 | − | 22.4927i | −0.458675 | − | 0.562318i | ||||
\(41\) | 57.9667 | 1.41382 | 0.706911 | − | 0.707302i | \(-0.250088\pi\) | ||||
0.706911 | + | 0.707302i | \(0.250088\pi\) | |||||||
\(42\) | 22.8734 | − | 8.05030i | 0.544605 | − | 0.191674i | ||||
\(43\) | 4.23471 | + | 4.23471i | 0.0984817 | + | 0.0984817i | 0.754631 | − | 0.656149i | \(-0.227816\pi\) |
−0.656149 | + | 0.754631i | \(0.727816\pi\) | |||||||
\(44\) | −37.9280 | + | 47.0648i | −0.862000 | + | 1.06965i | ||||
\(45\) | −10.5140 | + | 2.81722i | −0.233645 | + | 0.0626050i | ||||
\(46\) | −5.93927 | − | 5.33502i | −0.129115 | − | 0.115979i | ||||
\(47\) | −50.4307 | + | 29.1162i | −1.07299 | + | 0.619494i | −0.928998 | − | 0.370084i | \(-0.879329\pi\) |
−0.143997 | + | 0.989578i | \(0.545995\pi\) | |||||||
\(48\) | 1.31920 | − | 27.6814i | 0.0274833 | − | 0.576696i | ||||
\(49\) | −43.5200 | − | 22.5169i | −0.888163 | − | 0.459529i | ||||
\(50\) | −4.89400 | + | 23.1593i | −0.0978799 | + | 0.463187i | ||||
\(51\) | 32.9305 | + | 8.82370i | 0.645696 | + | 0.173014i | ||||
\(52\) | −3.61425 | − | 0.563664i | −0.0695047 | − | 0.0108397i | ||||
\(53\) | 83.4875 | − | 22.3704i | 1.57524 | − | 0.422083i | 0.637789 | − | 0.770211i | \(-0.279849\pi\) |
0.937447 | + | 0.348128i | \(0.113183\pi\) | |||||||
\(54\) | −9.26520 | − | 4.70703i | −0.171578 | − | 0.0871673i | ||||
\(55\) | −54.8285 | −0.996881 | ||||||||
\(56\) | −42.5667 | + | 36.3879i | −0.760119 | + | 0.649784i | ||||
\(57\) | − | 58.4191i | − | 1.02490i | ||||||
\(58\) | −19.3968 | − | 9.85423i | −0.334427 | − | 0.169900i | ||||
\(59\) | 25.7668 | + | 96.1629i | 0.436725 | + | 1.62988i | 0.736905 | + | 0.675997i | \(0.236287\pi\) |
−0.300180 | + | 0.953883i | \(0.597047\pi\) | |||||||
\(60\) | 20.3017 | − | 14.8237i | 0.338362 | − | 0.247061i | ||||
\(61\) | 22.0454 | − | 82.2747i | 0.361401 | − | 1.34877i | −0.510835 | − | 0.859679i | \(-0.670664\pi\) |
0.872235 | − | 0.489086i | \(-0.162670\pi\) | |||||||
\(62\) | 21.3775 | − | 101.162i | 0.344798 | − | 1.63165i | ||||
\(63\) | 5.90161 | + | 20.1537i | 0.0936764 | + | 0.319900i | ||||
\(64\) | 20.2093 | + | 60.7255i | 0.315770 | + | 0.948836i | ||||
\(65\) | −1.65901 | − | 2.87350i | −0.0255233 | − | 0.0442076i | ||||
\(66\) | −38.9430 | − | 34.9809i | −0.590045 | − | 0.530014i | ||||
\(67\) | −16.0693 | − | 59.9716i | −0.239841 | − | 0.895098i | −0.975907 | − | 0.218188i | \(-0.929985\pi\) |
0.736066 | − | 0.676910i | \(-0.236681\pi\) | |||||||
\(68\) | −78.2814 | + | 8.41531i | −1.15120 | + | 0.123755i | ||||
\(69\) | 4.88892 | − | 4.88892i | 0.0708539 | − | 0.0708539i | ||||
\(70\) | −49.9278 | − | 9.35318i | −0.713254 | − | 0.133617i | ||||
\(71\) | − | 60.9136i | − | 0.857938i | −0.903319 | − | 0.428969i | \(-0.858877\pi\) | ||
0.903319 | − | 0.428969i | \(-0.141123\pi\) | |||||||
\(72\) | 23.8773 | + | 2.42382i | 0.331629 | + | 0.0336642i | ||||
\(73\) | −4.60526 | + | 7.97654i | −0.0630857 | + | 0.109268i | −0.895843 | − | 0.444370i | \(-0.853427\pi\) |
0.832758 | + | 0.553638i | \(0.186761\pi\) | |||||||
\(74\) | 68.7141 | − | 3.68280i | 0.928569 | − | 0.0497676i | ||||
\(75\) | −19.8010 | − | 5.30566i | −0.264013 | − | 0.0707422i | ||||
\(76\) | 48.6468 | + | 125.837i | 0.640090 | + | 1.65575i | ||||
\(77\) | 2.43978 | + | 105.751i | 0.0316854 | + | 1.37339i | ||||
\(78\) | 0.654964 | − | 3.09942i | 0.00839698 | − | 0.0397361i | ||||
\(79\) | −16.6398 | − | 28.8210i | −0.210631 | − | 0.364823i | 0.741281 | − | 0.671195i | \(-0.234218\pi\) |
−0.951912 | + | 0.306371i | \(0.900885\pi\) | |||||||
\(80\) | −31.3868 | + | 48.8366i | −0.392335 | + | 0.610457i | ||||
\(81\) | 4.50000 | − | 7.79423i | 0.0555556 | − | 0.0962250i | ||||
\(82\) | −35.9560 | − | 110.217i | −0.438488 | − | 1.34411i | ||||
\(83\) | −64.4872 | − | 64.4872i | −0.776954 | − | 0.776954i | 0.202357 | − | 0.979312i | \(-0.435140\pi\) |
−0.979312 | + | 0.202357i | \(0.935140\pi\) | |||||||
\(84\) | −29.4948 | − | 38.4975i | −0.351128 | − | 0.458304i | ||||
\(85\) | −50.4990 | − | 50.4990i | −0.594106 | − | 0.594106i | ||||
\(86\) | 5.42506 | − | 10.6785i | 0.0630821 | − | 0.124169i | ||||
\(87\) | 9.42080 | − | 16.3173i | 0.108285 | − | 0.187555i | ||||
\(88\) | 113.014 | + | 42.9218i | 1.28425 | + | 0.487748i | ||||
\(89\) | 26.8172 | + | 46.4487i | 0.301317 | + | 0.521896i | 0.976434 | − | 0.215814i | \(-0.0692405\pi\) |
−0.675118 | + | 0.737710i | \(0.735907\pi\) | |||||||
\(90\) | 11.8783 | + | 18.2437i | 0.131981 | + | 0.202707i | ||||
\(91\) | −5.46847 | + | 3.32771i | −0.0600930 | + | 0.0365682i | ||||
\(92\) | −6.45984 | + | 14.6021i | −0.0702156 | + | 0.158718i | ||||
\(93\) | 86.4928 | + | 23.1757i | 0.930030 | + | 0.249201i | ||||
\(94\) | 86.6425 | + | 77.8276i | 0.921729 | + | 0.827953i | ||||
\(95\) | −61.1882 | + | 105.981i | −0.644086 | + | 1.11559i | ||||
\(96\) | −53.4511 | + | 14.6621i | −0.556782 | + | 0.152730i | ||||
\(97\) | 13.9332i | 0.143642i | 0.997418 | + | 0.0718208i | \(0.0228810\pi\) | ||||
−0.997418 | + | 0.0718208i | \(0.977119\pi\) | |||||||
\(98\) | −15.8183 | + | 96.7149i | −0.161412 | + | 0.986887i | ||||
\(99\) | 32.0559 | − | 32.0559i | 0.323797 | − | 0.323797i | ||||
\(100\) | 47.0704 | − | 5.06010i | 0.470704 | − | 0.0506010i | ||||
\(101\) | 2.12969 | + | 7.94812i | 0.0210861 | + | 0.0786943i | 0.975667 | − | 0.219257i | \(-0.0703633\pi\) |
−0.954581 | + | 0.297951i | \(0.903697\pi\) | |||||||
\(102\) | −3.64917 | − | 68.0866i | −0.0357761 | − | 0.667515i | ||||
\(103\) | 45.6494 | + | 79.0671i | 0.443198 | + | 0.767642i | 0.997925 | − | 0.0643908i | \(-0.0205104\pi\) |
−0.554726 | + | 0.832033i | \(0.687177\pi\) | |||||||
\(104\) | 1.17013 | + | 7.22169i | 0.0112513 | + | 0.0694393i | ||||
\(105\) | 10.4026 | − | 42.7432i | 0.0990722 | − | 0.407078i | ||||
\(106\) | −94.3209 | − | 144.865i | −0.889820 | − | 1.36665i | ||||
\(107\) | −30.1525 | + | 112.531i | −0.281799 | + | 1.05169i | 0.669347 | + | 0.742950i | \(0.266574\pi\) |
−0.951147 | + | 0.308740i | \(0.900093\pi\) | |||||||
\(108\) | −3.20277 | + | 20.5364i | −0.0296553 | + | 0.190152i | ||||
\(109\) | 46.9428 | + | 175.193i | 0.430668 | + | 1.60727i | 0.751226 | + | 0.660045i | \(0.229463\pi\) |
−0.320558 | + | 0.947229i | \(0.603870\pi\) | |||||||
\(110\) | 34.0094 | + | 104.250i | 0.309176 | + | 0.947724i | ||||
\(111\) | 59.5936i | 0.536879i | ||||||||
\(112\) | 95.5907 | + | 58.3644i | 0.853489 | + | 0.521111i | ||||
\(113\) | 114.171 | 1.01036 | 0.505181 | − | 0.863013i | \(-0.331426\pi\) | ||||
0.505181 | + | 0.863013i | \(0.331426\pi\) | |||||||
\(114\) | −111.077 | + | 36.2366i | −0.974358 | + | 0.317865i | ||||
\(115\) | −13.9899 | + | 3.74858i | −0.121651 | + | 0.0325964i | ||||
\(116\) | −6.70504 | + | 42.9931i | −0.0578021 | + | 0.370630i | ||||
\(117\) | 2.64997 | + | 0.710058i | 0.0226493 | + | 0.00606887i | ||||
\(118\) | 166.859 | − | 108.641i | 1.41406 | − | 0.920686i | ||||
\(119\) | −95.1534 | + | 99.6476i | −0.799608 | + | 0.837375i | ||||
\(120\) | −40.7783 | − | 29.4063i | −0.339820 | − | 0.245053i | ||||
\(121\) | 92.9693 | − | 53.6758i | 0.768341 | − | 0.443602i | ||||
\(122\) | −170.110 | + | 9.11721i | −1.39434 | + | 0.0747312i | ||||
\(123\) | 96.9802 | − | 25.9858i | 0.788457 | − | 0.211266i | ||||
\(124\) | −205.608 | + | 22.1030i | −1.65813 | + | 0.178250i | ||||
\(125\) | 94.5049 | + | 94.5049i | 0.756039 | + | 0.756039i | ||||
\(126\) | 34.6591 | − | 23.7223i | 0.275072 | − | 0.188272i | ||||
\(127\) | −196.789 | −1.54952 | −0.774758 | − | 0.632257i | \(-0.782128\pi\) | ||||
−0.774758 | + | 0.632257i | \(0.782128\pi\) | |||||||
\(128\) | 102.927 | − | 76.0928i | 0.804114 | − | 0.594475i | ||||
\(129\) | 8.98318 | + | 5.18644i | 0.0696371 | + | 0.0402050i | ||||
\(130\) | −4.43454 | + | 4.93681i | −0.0341119 | + | 0.0379754i | ||||
\(131\) | −13.6267 | + | 50.8554i | −0.104020 | + | 0.388209i | −0.998232 | − | 0.0594348i | \(-0.981070\pi\) |
0.894212 | + | 0.447644i | \(0.147737\pi\) | |||||||
\(132\) | −42.3562 | + | 95.7436i | −0.320880 | + | 0.725330i | ||||
\(133\) | 207.135 | + | 113.302i | 1.55741 | + | 0.851891i | ||||
\(134\) | −104.061 | + | 67.7535i | −0.776575 | + | 0.505623i | ||||
\(135\) | −16.3274 | + | 9.42662i | −0.120944 | + | 0.0698268i | ||||
\(136\) | 64.5577 | + | 143.623i | 0.474689 | + | 1.05605i | ||||
\(137\) | −98.6938 | − | 56.9809i | −0.720393 | − | 0.415919i | 0.0945046 | − | 0.995524i | \(-0.469873\pi\) |
−0.814897 | + | 0.579606i | \(0.803207\pi\) | |||||||
\(138\) | −12.3282 | − | 6.26316i | −0.0893350 | − | 0.0453852i | ||||
\(139\) | −35.6880 | + | 35.6880i | −0.256748 | + | 0.256748i | −0.823730 | − | 0.566982i | \(-0.808111\pi\) |
0.566982 | + | 0.823730i | \(0.308111\pi\) | |||||||
\(140\) | 13.1856 | + | 100.733i | 0.0941830 | + | 0.719523i | ||||
\(141\) | −71.3198 | + | 71.3198i | −0.505815 | + | 0.505815i | ||||
\(142\) | −115.820 | + | 37.7839i | −0.815633 | + | 0.266084i | ||||
\(143\) | 11.9676 | + | 6.90952i | 0.0836898 | + | 0.0483184i | ||||
\(144\) | −10.2022 | − | 46.9033i | −0.0708484 | − | 0.325717i | ||||
\(145\) | −34.1816 | + | 19.7347i | −0.235735 | + | 0.136102i | ||||
\(146\) | 18.0230 | + | 3.80860i | 0.123445 | + | 0.0260863i | ||||
\(147\) | −82.9044 | − | 18.1621i | −0.563975 | − | 0.123552i | ||||
\(148\) | −49.6249 | − | 128.367i | −0.335303 | − | 0.867346i | ||||
\(149\) | 57.8986 | − | 216.080i | 0.388581 | − | 1.45020i | −0.443863 | − | 0.896095i | \(-0.646392\pi\) |
0.832444 | − | 0.554109i | \(-0.186941\pi\) | |||||||
\(150\) | 2.19423 | + | 40.9403i | 0.0146282 | + | 0.272935i | ||||
\(151\) | −165.268 | − | 95.4174i | −1.09449 | − | 0.631903i | −0.159721 | − | 0.987162i | \(-0.551059\pi\) |
−0.934768 | + | 0.355259i | \(0.884393\pi\) | |||||||
\(152\) | 209.089 | − | 170.551i | 1.37559 | − | 1.12205i | ||||
\(153\) | 59.0493 | 0.385943 | ||||||||
\(154\) | 199.559 | − | 70.2350i | 1.29584 | − | 0.456071i | ||||
\(155\) | −132.637 | − | 132.637i | −0.855722 | − | 0.855722i | ||||
\(156\) | −6.29944 | + | 0.677194i | −0.0403810 | + | 0.00434099i | ||||
\(157\) | −67.9054 | + | 18.1952i | −0.432518 | + | 0.115893i | −0.468508 | − | 0.883459i | \(-0.655208\pi\) |
0.0359898 | + | 0.999352i | \(0.488542\pi\) | |||||||
\(158\) | −44.4783 | + | 49.5160i | −0.281508 | + | 0.313392i | ||||
\(159\) | 129.649 | − | 74.8529i | 0.815402 | − | 0.470773i | ||||
\(160\) | 112.326 | + | 29.3855i | 0.702035 | + | 0.183659i | ||||
\(161\) | 7.85265 | + | 26.8164i | 0.0487743 | + | 0.166561i | ||||
\(162\) | −17.6111 | − | 3.72155i | −0.108710 | − | 0.0229725i | ||||
\(163\) | −265.079 | − | 71.0277i | −1.62625 | − | 0.435753i | −0.673421 | − | 0.739259i | \(-0.735176\pi\) |
−0.952829 | + | 0.303506i | \(0.901843\pi\) | |||||||
\(164\) | −187.261 | + | 136.732i | −1.14183 | + | 0.833732i | ||||
\(165\) | −91.7298 | + | 24.5789i | −0.555938 | + | 0.148963i | ||||
\(166\) | −82.6141 | + | 162.615i | −0.497675 | + | 0.979610i | ||||
\(167\) | −26.8802 | −0.160960 | −0.0804798 | − | 0.996756i | \(-0.525645\pi\) | ||||
−0.0804798 | + | 0.996756i | \(0.525645\pi\) | |||||||
\(168\) | −54.9032 | + | 79.9602i | −0.326805 | + | 0.475954i | ||||
\(169\) | − | 168.164i | − | 0.995052i | ||||||
\(170\) | −64.6939 | + | 127.342i | −0.380552 | + | 0.749068i | ||||
\(171\) | −26.1885 | − | 97.7370i | −0.153149 | − | 0.571561i | ||||
\(172\) | −23.6690 | − | 3.69133i | −0.137611 | − | 0.0214612i | ||||
\(173\) | −23.1627 | + | 86.4445i | −0.133889 | + | 0.499679i | −1.00000 | 0.000171914i | \(-0.999945\pi\) | |
0.866111 | + | 0.499851i | \(0.166612\pi\) | |||||||
\(174\) | −36.8690 | − | 7.79110i | −0.211891 | − | 0.0447764i | ||||
\(175\) | 57.2154 | − | 59.9178i | 0.326945 | − | 0.342388i | ||||
\(176\) | 11.5094 | − | 241.507i | 0.0653941 | − | 1.37220i | ||||
\(177\) | 86.2173 | + | 149.333i | 0.487103 | + | 0.843687i | ||||
\(178\) | 71.6823 | − | 79.8012i | 0.402710 | − | 0.448322i | ||||
\(179\) | 1.85760 | + | 6.93264i | 0.0103776 | + | 0.0387298i | 0.970921 | − | 0.239402i | \(-0.0769514\pi\) |
−0.960543 | + | 0.278132i | \(0.910285\pi\) | |||||||
\(180\) | 27.3201 | − | 33.9015i | 0.151779 | − | 0.188342i | ||||
\(181\) | 62.6115 | − | 62.6115i | 0.345920 | − | 0.345920i | −0.512667 | − | 0.858587i | \(-0.671343\pi\) |
0.858587 | + | 0.512667i | \(0.171343\pi\) | |||||||
\(182\) | 9.71926 | + | 8.33349i | 0.0534025 | + | 0.0457884i | ||||
\(183\) | − | 147.531i | − | 0.806180i | ||||||
\(184\) | 31.7710 | + | 3.22513i | 0.172669 | + | 0.0175279i | ||||
\(185\) | 62.4184 | − | 108.112i | 0.337397 | − | 0.584388i | ||||
\(186\) | −9.58463 | − | 178.831i | −0.0515303 | − | 0.961458i | ||||
\(187\) | 287.303 | + | 76.9825i | 1.53638 | + | 0.411671i | ||||
\(188\) | 94.2365 | − | 213.016i | 0.501258 | − | 1.13306i | ||||
\(189\) | 18.9082 | + | 31.0722i | 0.100044 | + | 0.164403i | ||||
\(190\) | 239.465 | + | 50.6033i | 1.26034 | + | 0.266333i | ||||
\(191\) | −5.16193 | − | 8.94073i | −0.0270258 | − | 0.0468101i | 0.852196 | − | 0.523222i | \(-0.175270\pi\) |
−0.879222 | + | 0.476412i | \(0.841937\pi\) | |||||||
\(192\) | 61.0333 | + | 92.5361i | 0.317882 | + | 0.481959i | ||||
\(193\) | −44.4333 | + | 76.9607i | −0.230224 | + | 0.398760i | −0.957874 | − | 0.287189i | \(-0.907279\pi\) |
0.727650 | + | 0.685949i | \(0.240613\pi\) | |||||||
\(194\) | 26.4924 | − | 8.64260i | 0.136559 | − | 0.0445495i | ||||
\(195\) | −4.06374 | − | 4.06374i | −0.0208397 | − | 0.0208397i | ||||
\(196\) | 193.704 | − | 29.9144i | 0.988284 | − | 0.152624i | ||||
\(197\) | 13.1271 | + | 13.1271i | 0.0666352 | + | 0.0666352i | 0.739639 | − | 0.673004i | \(-0.234996\pi\) |
−0.673004 | + | 0.739639i | \(0.734996\pi\) | |||||||
\(198\) | −80.8344 | − | 41.0666i | −0.408254 | − | 0.207407i | ||||
\(199\) | −67.0203 | + | 116.083i | −0.336786 | + | 0.583330i | −0.983826 | − | 0.179126i | \(-0.942673\pi\) |
0.647041 | + | 0.762456i | \(0.276006\pi\) | |||||||
\(200\) | −38.8183 | − | 86.3599i | −0.194092 | − | 0.431800i | ||||
\(201\) | −53.7690 | − | 93.1307i | −0.267508 | − | 0.463337i | ||||
\(202\) | 13.7914 | − | 8.97947i | 0.0682741 | − | 0.0444528i | ||||
\(203\) | 39.5846 | + | 65.0499i | 0.194998 | + | 0.320443i | ||||
\(204\) | −127.195 | + | 49.1717i | −0.623504 | + | 0.241038i | ||||
\(205\) | −203.154 | − | 54.4351i | −0.990998 | − | 0.265537i | ||||
\(206\) | 122.021 | − | 135.841i | 0.592334 | − | 0.659423i | ||||
\(207\) | 5.98768 | − | 10.3710i | 0.0289260 | − | 0.0501013i | ||||
\(208\) | 13.0053 | − | 6.70439i | 0.0625257 | − | 0.0322326i | ||||
\(209\) | − | 509.678i | − | 2.43865i | ||||||
\(210\) | −87.7237 | + | 6.73383i | −0.417732 | + | 0.0320659i | ||||
\(211\) | −16.0588 | + | 16.0588i | −0.0761081 | + | 0.0761081i | −0.744136 | − | 0.668028i | \(-0.767139\pi\) |
0.668028 | + | 0.744136i | \(0.267139\pi\) | |||||||
\(212\) | −216.938 | + | 269.198i | −1.02329 | + | 1.26980i | ||||
\(213\) | −27.3068 | − | 101.910i | −0.128201 | − | 0.478453i | ||||
\(214\) | 232.667 | − | 12.4700i | 1.08723 | − | 0.0582711i | ||||
\(215\) | −10.8646 | − | 18.8180i | −0.0505329 | − | 0.0875256i | ||||
\(216\) | 41.0341 | − | 6.64876i | 0.189972 | − | 0.0307813i | ||||
\(217\) | −249.923 | + | 261.727i | −1.15172 | + | 1.20612i | ||||
\(218\) | 303.990 | − | 197.926i | 1.39445 | − | 0.907917i | ||||
\(219\) | −4.12896 | + | 15.4095i | −0.0188537 | + | 0.0703630i | ||||
\(220\) | 177.123 | − | 129.330i | 0.805103 | − | 0.587861i | ||||
\(221\) | 4.65871 | + | 17.3866i | 0.0210802 | + | 0.0786722i | ||||
\(222\) | 113.310 | − | 36.9651i | 0.510405 | − | 0.166510i | ||||
\(223\) | 4.28380i | 0.0192098i | 0.999954 | + | 0.00960492i | \(0.00305739\pi\) | ||||
−0.999954 | + | 0.00960492i | \(0.996943\pi\) | |||||||
\(224\) | 51.6792 | − | 217.957i | 0.230711 | − | 0.973022i | ||||
\(225\) | −35.5062 | −0.157805 | ||||||||
\(226\) | −70.8188 | − | 217.082i | −0.313357 | − | 0.960541i | ||||
\(227\) | 358.990 | − | 96.1911i | 1.58145 | − | 0.423749i | 0.642078 | − | 0.766639i | \(-0.278073\pi\) |
0.939376 | + | 0.342890i | \(0.111406\pi\) | |||||||
\(228\) | 137.799 | + | 188.722i | 0.604382 | + | 0.827728i | ||||
\(229\) | −148.229 | − | 39.7179i | −0.647290 | − | 0.173441i | −0.0797865 | − | 0.996812i | \(-0.525424\pi\) |
−0.567503 | + | 0.823371i | \(0.692091\pi\) | |||||||
\(230\) | 15.8052 | + | 24.2749i | 0.0687185 | + | 0.105543i | ||||
\(231\) | 51.4887 | + | 175.831i | 0.222895 | + | 0.761174i | ||||
\(232\) | 85.9053 | − | 13.9193i | 0.370281 | − | 0.0599968i | ||||
\(233\) | 95.8089 | − | 55.3153i | 0.411197 | − | 0.237405i | −0.280107 | − | 0.959969i | \(-0.590370\pi\) |
0.691304 | + | 0.722564i | \(0.257037\pi\) | |||||||
\(234\) | −0.293654 | − | 5.47904i | −0.00125493 | − | 0.0234147i | ||||
\(235\) | 204.086 | − | 54.6846i | 0.868450 | − | 0.232700i | ||||
\(236\) | −310.068 | − | 249.874i | −1.31385 | − | 1.05879i | ||||
\(237\) | −40.7591 | − | 40.7591i | −0.171979 | − | 0.171979i | ||||
\(238\) | 248.490 | + | 119.113i | 1.04408 | + | 0.500473i | ||||
\(239\) | −383.120 | −1.60301 | −0.801506 | − | 0.597987i | \(-0.795968\pi\) | ||||
−0.801506 | + | 0.597987i | \(0.795968\pi\) | |||||||
\(240\) | −30.6183 | + | 95.7755i | −0.127576 | + | 0.399064i | ||||
\(241\) | −239.392 | − | 138.213i | −0.993327 | − | 0.573498i | −0.0870599 | − | 0.996203i | \(-0.527747\pi\) |
−0.906267 | + | 0.422705i | \(0.861081\pi\) | |||||||
\(242\) | −159.726 | − | 143.475i | −0.660024 | − | 0.592874i | ||||
\(243\) | 4.03459 | − | 15.0573i | 0.0166032 | − | 0.0619642i | ||||
\(244\) | 122.852 | + | 317.788i | 0.503493 | + | 1.30241i | ||||
\(245\) | 131.378 | + | 119.783i | 0.536238 | + | 0.488910i | ||||
\(246\) | −109.564 | − | 168.278i | −0.445384 | − | 0.684055i | ||||
\(247\) | 26.7116 | − | 15.4220i | 0.108144 | − | 0.0624371i | ||||
\(248\) | 169.562 | + | 377.229i | 0.683719 | + | 1.52108i | ||||
\(249\) | −136.798 | − | 78.9804i | −0.549390 | − | 0.317190i | ||||
\(250\) | 121.069 | − | 238.310i | 0.484278 | − | 0.953239i | ||||
\(251\) | 121.862 | − | 121.862i | 0.485505 | − | 0.485505i | −0.421379 | − | 0.906885i | \(-0.638454\pi\) |
0.906885 | + | 0.421379i | \(0.138454\pi\) | |||||||
\(252\) | −66.6037 | − | 51.1855i | −0.264300 | − | 0.203117i | ||||
\(253\) | 42.6535 | − | 42.6535i | 0.168591 | − | 0.168591i | ||||
\(254\) | 122.065 | + | 374.170i | 0.480573 | + | 1.47311i | ||||
\(255\) | −107.125 | − | 61.8484i | −0.420096 | − | 0.242543i | ||||
\(256\) | −208.525 | − | 148.503i | −0.814552 | − | 0.580090i | ||||
\(257\) | 77.0932 | − | 44.5098i | 0.299973 | − | 0.173190i | −0.342458 | − | 0.939533i | \(-0.611259\pi\) |
0.642431 | + | 0.766344i | \(0.277926\pi\) | |||||||
\(258\) | 4.28924 | − | 20.2975i | 0.0166250 | − | 0.0786726i | ||||
\(259\) | −211.299 | − | 115.579i | −0.815828 | − | 0.446253i | ||||
\(260\) | 12.1374 | + | 5.36951i | 0.0466824 | + | 0.0206519i | ||||
\(261\) | 8.44646 | − | 31.5226i | 0.0323619 | − | 0.120776i | ||||
\(262\) | 105.148 | − | 5.63550i | 0.401328 | − | 0.0215096i | ||||
\(263\) | −360.330 | − | 208.037i | −1.37008 | − | 0.791015i | −0.379140 | − | 0.925339i | \(-0.623780\pi\) |
−0.990937 | + | 0.134324i | \(0.957114\pi\) | |||||||
\(264\) | 208.318 | + | 21.1467i | 0.789083 | + | 0.0801011i | ||||
\(265\) | −313.604 | −1.18341 | ||||||||
\(266\) | 86.9459 | − | 464.122i | 0.326864 | − | 1.74482i | ||||
\(267\) | 65.6884 | + | 65.6884i | 0.246024 | + | 0.246024i | ||||
\(268\) | 193.373 | + | 155.833i | 0.721541 | + | 0.581466i | ||||
\(269\) | −60.2774 | + | 16.1513i | −0.224080 | + | 0.0600419i | −0.369112 | − | 0.929385i | \(-0.620338\pi\) |
0.145032 | + | 0.989427i | \(0.453671\pi\) | |||||||
\(270\) | 28.0512 | + | 25.1973i | 0.103893 | + | 0.0933234i | ||||
\(271\) | −458.482 | + | 264.705i | −1.69181 | + | 0.976770i | −0.738761 | + | 0.673967i | \(0.764589\pi\) |
−0.953053 | + | 0.302802i | \(0.902078\pi\) | |||||||
\(272\) | 233.037 | − | 211.836i | 0.856754 | − | 0.778809i | ||||
\(273\) | −7.65715 | + | 8.01881i | −0.0280482 | + | 0.0293729i | ||||
\(274\) | −47.1238 | + | 222.999i | −0.171985 | + | 0.813864i | ||||
\(275\) | −172.754 | − | 46.2894i | −0.628197 | − | 0.168325i | ||||
\(276\) | −4.26159 | + | 27.3256i | −0.0154406 | + | 0.0990057i | ||||
\(277\) | 12.7976 | − | 3.42909i | 0.0462005 | − | 0.0123794i | −0.235645 | − | 0.971839i | \(-0.575720\pi\) |
0.281845 | + | 0.959460i | \(0.409054\pi\) | |||||||
\(278\) | 89.9931 | + | 45.7196i | 0.323716 | + | 0.164459i | ||||
\(279\) | 155.095 | 0.555895 | ||||||||
\(280\) | 183.353 | − | 87.5544i | 0.654833 | − | 0.312694i | ||||
\(281\) | 33.0403i | 0.117581i | 0.998270 | + | 0.0587906i | \(0.0187244\pi\) | ||||
−0.998270 | + | 0.0587906i | \(0.981276\pi\) | |||||||
\(282\) | 179.845 | + | 91.3673i | 0.637748 | + | 0.323997i | ||||
\(283\) | 111.784 | + | 417.183i | 0.394996 | + | 1.47414i | 0.821788 | + | 0.569794i | \(0.192977\pi\) |
−0.426792 | + | 0.904350i | \(0.640356\pi\) | |||||||
\(284\) | 143.683 | + | 196.781i | 0.505927 | + | 0.692890i | ||||
\(285\) | −54.8599 | + | 204.740i | −0.192491 | + | 0.718385i | ||||
\(286\) | 5.71425 | − | 27.0409i | 0.0199799 | − | 0.0945487i | ||||
\(287\) | −95.9523 | + | 394.259i | −0.334328 | + | 1.37372i | ||||
\(288\) | −82.8526 | + | 48.4917i | −0.287683 | + | 0.168374i | ||||
\(289\) | 49.2124 | + | 85.2384i | 0.170285 | + | 0.294943i | ||||
\(290\) | 58.7256 | + | 52.7509i | 0.202502 | + | 0.181900i | ||||
\(291\) | 6.24610 | + | 23.3107i | 0.0214642 | + | 0.0801057i | ||||
\(292\) | −3.93786 | − | 36.6310i | −0.0134858 | − | 0.125449i | ||||
\(293\) | 231.705 | − | 231.705i | 0.790803 | − | 0.790803i | −0.190821 | − | 0.981625i | \(-0.561115\pi\) |
0.981625 | + | 0.190821i | \(0.0611151\pi\) | |||||||
\(294\) | 16.8915 | + | 168.898i | 0.0574541 | + | 0.574484i | ||||
\(295\) | − | 361.216i | − | 1.22446i | ||||||
\(296\) | −213.293 | + | 173.980i | −0.720584 | + | 0.587771i | ||||
\(297\) | 39.2603 | − | 68.0009i | 0.132190 | − | 0.228959i | ||||
\(298\) | −446.765 | + | 23.9448i | −1.49921 | + | 0.0803516i | ||||
\(299\) | 3.52604 | + | 0.944799i | 0.0117928 | + | 0.00315986i | ||||
\(300\) | 76.4819 | − | 29.5668i | 0.254940 | − | 0.0985560i | ||||
\(301\) | −35.8120 | + | 21.7926i | −0.118977 | + | 0.0724005i | ||||
\(302\) | −78.9112 | + | 373.423i | −0.261295 | + | 1.23650i | ||||
\(303\) | 7.12609 | + | 12.3427i | 0.0235184 | + | 0.0407351i | ||||
\(304\) | −453.978 | − | 291.767i | −1.49335 | − | 0.959761i | ||||
\(305\) | −154.524 | + | 267.644i | −0.506637 | + | 0.877520i | ||||
\(306\) | −36.6276 | − | 112.275i | −0.119698 | − | 0.366912i | ||||
\(307\) | 168.697 | + | 168.697i | 0.549501 | + | 0.549501i | 0.926296 | − | 0.376796i | \(-0.122974\pi\) |
−0.376796 | + | 0.926296i | \(0.622974\pi\) | |||||||
\(308\) | −257.328 | − | 335.872i | −0.835479 | − | 1.09049i | ||||
\(309\) | 111.818 | + | 111.818i | 0.361870 | + | 0.361870i | ||||
\(310\) | −169.920 | + | 334.466i | −0.548129 | + | 1.07892i | ||||
\(311\) | 49.2910 | − | 85.3744i | 0.158492 | − | 0.274516i | −0.775833 | − | 0.630938i | \(-0.782670\pi\) |
0.934325 | + | 0.356422i | \(0.116004\pi\) | |||||||
\(312\) | 5.19506 | + | 11.5576i | 0.0166508 | + | 0.0370435i | ||||
\(313\) | 99.2863 | + | 171.969i | 0.317209 | + | 0.549421i | 0.979905 | − | 0.199467i | \(-0.0639211\pi\) |
−0.662696 | + | 0.748889i | \(0.730588\pi\) | |||||||
\(314\) | 76.7168 | + | 117.828i | 0.244321 | + | 0.375247i | ||||
\(315\) | −1.75741 | − | 76.1742i | −0.00557908 | − | 0.241823i | ||||
\(316\) | 121.738 | + | 53.8559i | 0.385247 | + | 0.170430i | ||||
\(317\) | 201.244 | + | 53.9231i | 0.634839 | + | 0.170105i | 0.561864 | − | 0.827229i | \(-0.310084\pi\) |
0.0729743 | + | 0.997334i | \(0.476751\pi\) | |||||||
\(318\) | −222.743 | − | 200.082i | −0.700451 | − | 0.629187i | ||||
\(319\) | 82.1920 | − | 142.361i | 0.257655 | − | 0.446272i | ||||
\(320\) | −13.8013 | − | 231.801i | −0.0431290 | − | 0.724378i | ||||
\(321\) | 201.785i | 0.628613i | ||||||||
\(322\) | 46.1172 | − | 31.5647i | 0.143221 | − | 0.0980272i | ||||
\(323\) | 469.432 | − | 469.432i | 1.45335 | − | 1.45335i | ||||
\(324\) | 3.84786 | + | 35.7938i | 0.0118761 | + | 0.110475i | ||||
\(325\) | −2.80127 | − | 10.4545i | −0.00861929 | − | 0.0321676i | ||||
\(326\) | 29.3745 | + | 548.073i | 0.0901059 | + | 1.68121i | ||||
\(327\) | 157.074 | + | 272.059i | 0.480347 | + | 0.831986i | ||||
\(328\) | 376.135 | + | 271.241i | 1.14675 | + | 0.826953i | ||||
\(329\) | −114.555 | − | 391.199i | −0.348192 | − | 1.18906i | ||||
\(330\) | 103.633 | + | 159.167i | 0.314038 | + | 0.482325i | ||||
\(331\) | 166.026 | − | 619.618i | 0.501589 | − | 1.87196i | 0.0121385 | − | 0.999926i | \(-0.496136\pi\) |
0.489451 | − | 0.872031i | \(-0.337197\pi\) | |||||||
\(332\) | 360.438 | + | 56.2125i | 1.08566 | + | 0.169315i | ||||
\(333\) | 26.7151 | + | 99.7020i | 0.0802254 | + | 0.299405i | ||||
\(334\) | 16.6735 | + | 51.1095i | 0.0499206 | + | 0.153023i | ||||
\(335\) | 225.271i | 0.672451i | ||||||||
\(336\) | 186.091 | + | 54.7935i | 0.553841 | + | 0.163076i | ||||
\(337\) | −131.318 | −0.389667 | −0.194833 | − | 0.980836i | \(-0.562417\pi\) | ||||
−0.194833 | + | 0.980836i | \(0.562417\pi\) | |||||||
\(338\) | −319.743 | + | 104.310i | −0.945985 | + | 0.308609i | ||||
\(339\) | 191.012 | − | 51.1814i | 0.563456 | − | 0.150978i | ||||
\(340\) | 282.253 | + | 44.0192i | 0.830157 | + | 0.129468i | ||||
\(341\) | 754.608 | + | 202.197i | 2.21293 | + | 0.592952i | ||||
\(342\) | −169.591 | + | 110.419i | −0.495879 | + | 0.322864i | ||||
\(343\) | 225.187 | − | 258.727i | 0.656521 | − | 0.754308i | ||||
\(344\) | 7.66298 | + | 47.2935i | 0.0222761 | + | 0.137481i | ||||
\(345\) | −21.7251 | + | 12.5430i | −0.0629714 | + | 0.0363565i | ||||
\(346\) | 178.731 | − | 9.57928i | 0.516565 | − | 0.0276858i | ||||
\(347\) | −424.885 | + | 113.848i | −1.22445 | + | 0.328091i | −0.812417 | − | 0.583077i | \(-0.801849\pi\) |
−0.412035 | + | 0.911168i | \(0.635182\pi\) | |||||||
\(348\) | 8.05553 | + | 74.9347i | 0.0231481 | + | 0.215330i | ||||
\(349\) | 69.1537 | + | 69.1537i | 0.198148 | + | 0.198148i | 0.799206 | − | 0.601058i | \(-0.205254\pi\) |
−0.601058 | + | 0.799206i | \(0.705254\pi\) | |||||||
\(350\) | −149.417 | − | 71.6220i | −0.426904 | − | 0.204634i | ||||
\(351\) | 4.75180 | 0.0135379 | ||||||||
\(352\) | −466.335 | + | 127.920i | −1.32482 | + | 0.363409i | ||||
\(353\) | −41.6626 | − | 24.0539i | −0.118024 | − | 0.0681414i | 0.439826 | − | 0.898083i | \(-0.355040\pi\) |
−0.557850 | + | 0.829942i | \(0.688374\pi\) | |||||||
\(354\) | 230.459 | − | 256.561i | 0.651013 | − | 0.724748i | ||||
\(355\) | −57.2024 | + | 213.482i | −0.161134 | + | 0.601359i | ||||
\(356\) | −196.196 | − | 86.7956i | −0.551112 | − | 0.243808i | ||||
\(357\) | −114.524 | + | 209.370i | −0.320795 | + | 0.586470i | ||||
\(358\) | 12.0293 | − | 7.83222i | 0.0336015 | − | 0.0218777i | ||||
\(359\) | 217.377 | − | 125.503i | 0.605506 | − | 0.349589i | −0.165698 | − | 0.986176i | \(-0.552988\pi\) |
0.771205 | + | 0.636587i | \(0.219654\pi\) | |||||||
\(360\) | −81.4060 | − | 30.9173i | −0.226128 | − | 0.0858813i | ||||
\(361\) | −672.551 | − | 388.298i | −1.86302 | − | 1.07562i | ||||
\(362\) | −157.885 | − | 80.2111i | −0.436148 | − | 0.221578i | ||||
\(363\) | 131.478 | − | 131.478i | 0.362199 | − | 0.362199i | ||||
\(364\) | 9.81640 | − | 23.6492i | 0.0269681 | − | 0.0649702i | ||||
\(365\) | 23.6305 | − | 23.6305i | 0.0647411 | − | 0.0647411i | ||||
\(366\) | −280.512 | + | 91.5116i | −0.766427 | + | 0.250032i | ||||
\(367\) | −311.823 | − | 180.031i | −0.849654 | − | 0.490548i | 0.0108801 | − | 0.999941i | \(-0.496537\pi\) |
−0.860534 | + | 0.509393i | \(0.829870\pi\) | |||||||
\(368\) | −13.5750 | − | 62.4092i | −0.0368885 | − | 0.169590i | ||||
\(369\) | 150.602 | − | 86.9501i | 0.408135 | − | 0.235637i | ||||
\(370\) | −244.279 | − | 51.6207i | −0.660213 | − | 0.139515i | ||||
\(371\) | 13.9549 | + | 604.867i | 0.0376142 | + | 1.63037i | ||||
\(372\) | −334.081 | + | 129.151i | −0.898066 | + | 0.347179i | ||||
\(373\) | −75.6631 | + | 282.378i | −0.202850 | + | 0.757047i | 0.787244 | + | 0.616641i | \(0.211507\pi\) |
−0.990094 | + | 0.140405i | \(0.955160\pi\) | |||||||
\(374\) | −31.8372 | − | 594.023i | −0.0851263 | − | 1.58830i | ||||
\(375\) | 200.475 | + | 115.744i | 0.534600 | + | 0.308652i | ||||
\(376\) | −463.477 | − | 47.0484i | −1.23265 | − | 0.125129i | ||||
\(377\) | 9.94794 | 0.0263871 | ||||||||
\(378\) | 47.3514 | − | 55.2254i | 0.125268 | − | 0.146099i | ||||
\(379\) | 309.502 | + | 309.502i | 0.816627 | + | 0.816627i | 0.985618 | − | 0.168990i | \(-0.0540507\pi\) |
−0.168990 | + | 0.985618i | \(0.554051\pi\) | |||||||
\(380\) | −52.3208 | − | 486.702i | −0.137686 | − | 1.28079i | ||||
\(381\) | −329.234 | + | 88.2179i | −0.864131 | + | 0.231543i | ||||
\(382\) | −13.7978 | + | 15.3606i | −0.0361200 | + | 0.0402110i | ||||
\(383\) | 269.459 | − | 155.572i | 0.703548 | − | 0.406194i | −0.105120 | − | 0.994460i | \(-0.533523\pi\) |
0.808668 | + | 0.588266i | \(0.200189\pi\) | |||||||
\(384\) | 138.088 | − | 173.446i | 0.359604 | − | 0.451684i | ||||
\(385\) | 90.7575 | − | 372.914i | 0.235734 | − | 0.968608i | ||||
\(386\) | 173.893 | + | 36.7468i | 0.450500 | + | 0.0951989i | ||||
\(387\) | 17.3542 | + | 4.65004i | 0.0448428 | + | 0.0120156i | ||||
\(388\) | −32.8657 | − | 45.0111i | −0.0847055 | − | 0.116008i | ||||
\(389\) | −546.622 | + | 146.467i | −1.40520 | + | 0.376522i | −0.880209 | − | 0.474587i | \(-0.842597\pi\) |
−0.524990 | + | 0.851109i | \(0.675931\pi\) | |||||||
\(390\) | −5.20602 | + | 10.2474i | −0.0133488 | + | 0.0262754i | ||||
\(391\) | 78.5708 | 0.200948 | ||||||||
\(392\) | −177.031 | − | 349.749i | −0.451609 | − | 0.892216i | ||||
\(393\) | 91.1915i | 0.232039i | ||||||||
\(394\) | 16.8171 | − | 33.1022i | 0.0426829 | − | 0.0840158i | ||||
\(395\) | 31.2521 | + | 116.634i | 0.0791192 | + | 0.295277i | ||||
\(396\) | −27.9426 | + | 179.170i | −0.0705622 | + | 0.452449i | ||||
\(397\) | 1.32371 | − | 4.94015i | 0.00333428 | − | 0.0124437i | −0.964239 | − | 0.265036i | \(-0.914616\pi\) |
0.967573 | + | 0.252592i | \(0.0812830\pi\) | |||||||
\(398\) | 262.289 | + | 55.4265i | 0.659017 | + | 0.139263i | ||||
\(399\) | 397.335 | + | 96.7010i | 0.995828 | + | 0.242358i | ||||
\(400\) | −140.124 | + | 127.376i | −0.350311 | + | 0.318441i | ||||
\(401\) | 90.2841 | + | 156.377i | 0.225147 | + | 0.389967i | 0.956364 | − | 0.292179i | \(-0.0943803\pi\) |
−0.731216 | + | 0.682146i | \(0.761047\pi\) | |||||||
\(402\) | −143.725 | + | 160.003i | −0.357524 | + | 0.398018i | ||||
\(403\) | 12.2362 | + | 45.6662i | 0.0303629 | + | 0.113316i | ||||
\(404\) | −25.6280 | − | 20.6528i | −0.0634356 | − | 0.0511207i | ||||
\(405\) | −23.0904 | + | 23.0904i | −0.0570133 | + | 0.0570133i | ||||
\(406\) | 99.1307 | − | 115.615i | 0.244164 | − | 0.284766i | ||||
\(407\) | 519.925i | 1.27746i | ||||||||
\(408\) | 172.391 | + | 211.345i | 0.422528 | + | 0.518003i | ||||
\(409\) | 39.3499 | − | 68.1561i | 0.0962101 | − | 0.166641i | −0.813903 | − | 0.581001i | \(-0.802661\pi\) |
0.910113 | + | 0.414360i | \(0.135995\pi\) | |||||||
\(410\) | 22.5124 | + | 420.039i | 0.0549083 | + | 1.02449i | ||||
\(411\) | −190.662 | − | 51.0877i | −0.463897 | − | 0.124301i | ||||
\(412\) | −333.974 | − | 147.747i | −0.810616 | − | 0.358610i | ||||
\(413\) | −696.700 | + | 16.0735i | −1.68693 | + | 0.0389190i | ||||
\(414\) | −23.4332 | − | 4.95187i | −0.0566020 | − | 0.0119610i | ||||
\(415\) | 165.448 | + | 286.565i | 0.398671 | + | 0.690518i | ||||
\(416\) | −20.8146 | − | 20.5695i | −0.0500352 | − | 0.0494458i | ||||
\(417\) | −43.7086 | + | 75.7056i | −0.104817 | + | 0.181548i | ||||
\(418\) | −969.091 | + | 316.147i | −2.31840 | + | 0.756332i | ||||
\(419\) | −200.565 | − | 200.565i | −0.478676 | − | 0.478676i | 0.426032 | − | 0.904708i | \(-0.359911\pi\) |
−0.904708 | + | 0.426032i | \(0.859911\pi\) | |||||||
\(420\) | 67.2174 | + | 162.619i | 0.160042 | + | 0.387188i | ||||
\(421\) | 201.718 | + | 201.718i | 0.479140 | + | 0.479140i | 0.904856 | − | 0.425717i | \(-0.139978\pi\) |
−0.425717 | + | 0.904856i | \(0.639978\pi\) | |||||||
\(422\) | 40.4950 | + | 20.5728i | 0.0959597 | + | 0.0487508i | ||||
\(423\) | −87.3486 | + | 151.292i | −0.206498 | + | 0.357665i | ||||
\(424\) | 646.411 | + | 245.501i | 1.52455 | + | 0.579012i | ||||
\(425\) | −116.479 | − | 201.747i | −0.274068 | − | 0.474699i | ||||
\(426\) | −176.832 | + | 115.134i | −0.415099 | + | 0.270269i | ||||
\(427\) | 523.097 | + | 286.131i | 1.22505 | + | 0.670095i | ||||
\(428\) | −168.031 | − | 434.653i | −0.392595 | − | 1.01554i | ||||
\(429\) | 23.1197 | + | 6.19491i | 0.0538921 | + | 0.0144403i | ||||
\(430\) | −29.0410 | + | 32.3303i | −0.0675372 | + | 0.0751866i | ||||
\(431\) | 218.740 | − | 378.869i | 0.507517 | − | 0.879045i | −0.492445 | − | 0.870344i | \(-0.663897\pi\) |
0.999962 | − | 0.00870191i | \(-0.00276994\pi\) | |||||||
\(432\) | −38.0947 | − | 73.8972i | −0.0881822 | − | 0.171058i | ||||
\(433\) | 583.762i | 1.34818i | 0.738650 | + | 0.674090i | \(0.235464\pi\) | ||||
−0.738650 | + | 0.674090i | \(0.764536\pi\) | |||||||
\(434\) | 652.666 | + | 312.852i | 1.50384 | + | 0.720857i | ||||
\(435\) | −48.3400 | + | 48.3400i | −0.111126 | + | 0.111126i | ||||
\(436\) | −564.894 | − | 455.230i | −1.29563 | − | 1.04410i | ||||
\(437\) | −34.8464 | − | 130.048i | −0.0797399 | − | 0.297593i | ||||
\(438\) | 31.8604 | − | 1.70759i | 0.0727407 | − | 0.00389861i | ||||
\(439\) | 112.708 | + | 195.216i | 0.256739 | + | 0.444684i | 0.965366 | − | 0.260898i | \(-0.0840187\pi\) |
−0.708628 | + | 0.705583i | \(0.750685\pi\) | |||||||
\(440\) | −355.771 | − | 256.556i | −0.808571 | − | 0.583081i | ||||
\(441\) | −146.844 | + | 6.77925i | −0.332979 | + | 0.0153725i | ||||
\(442\) | 30.1687 | − | 19.6426i | 0.0682550 | − | 0.0444404i | ||||
\(443\) | 109.559 | − | 408.880i | 0.247312 | − | 0.922980i | −0.724896 | − | 0.688859i | \(-0.758112\pi\) |
0.972207 | − | 0.234121i | \(-0.0752213\pi\) | |||||||
\(444\) | −140.569 | − | 192.516i | −0.316598 | − | 0.433595i | ||||
\(445\) | −50.3667 | − | 187.971i | −0.113184 | − | 0.422407i | ||||
\(446\) | 8.14512 | − | 2.65718i | 0.0182626 | − | 0.00595781i | ||||
\(447\) | − | 387.465i | − | 0.866811i | ||||||
\(448\) | −446.475 | + | 36.9341i | −0.996596 | + | 0.0824423i | ||||
\(449\) | 574.427 | 1.27935 | 0.639674 | − | 0.768646i | \(-0.279069\pi\) | ||||
0.639674 | + | 0.768646i | \(0.279069\pi\) | |||||||
\(450\) | 22.0240 | + | 67.5107i | 0.0489423 | + | 0.150024i | ||||
\(451\) | 846.106 | − | 226.713i | 1.87607 | − | 0.502690i | ||||
\(452\) | −368.828 | + | 269.307i | −0.815991 | + | 0.595811i | ||||
\(453\) | −319.273 | − | 85.5489i | −0.704797 | − | 0.188850i | ||||
\(454\) | −405.573 | − | 622.910i | −0.893332 | − | 1.37205i | ||||
\(455\) | 22.2902 | − | 6.52724i | 0.0489894 | − | 0.0143456i | ||||
\(456\) | 273.357 | − | 379.070i | 0.599467 | − | 0.831294i | ||||
\(457\) | −98.1991 | + | 56.6953i | −0.214878 | + | 0.124060i | −0.603576 | − | 0.797305i | \(-0.706258\pi\) |
0.388699 | + | 0.921365i | \(0.372925\pi\) | |||||||
\(458\) | 16.4259 | + | 306.477i | 0.0358645 | + | 0.669163i | ||||
\(459\) | 98.7915 | − | 26.4711i | 0.215232 | − | 0.0576712i | ||||
\(460\) | 36.3520 | − | 45.1092i | 0.0790262 | − | 0.0980635i | ||||
\(461\) | 131.478 | + | 131.478i | 0.285203 | + | 0.285203i | 0.835180 | − | 0.549977i | \(-0.185364\pi\) |
−0.549977 | + | 0.835180i | \(0.685364\pi\) | |||||||
\(462\) | 302.384 | − | 206.965i | 0.654511 | − | 0.447977i | ||||
\(463\) | −649.960 | −1.40380 | −0.701900 | − | 0.712275i | \(-0.747665\pi\) | ||||
−0.701900 | + | 0.712275i | \(0.747665\pi\) | |||||||
\(464\) | −79.7517 | − | 154.705i | −0.171879 | − | 0.333415i | ||||
\(465\) | −281.365 | − | 162.446i | −0.605087 | − | 0.349347i | ||||
\(466\) | −164.604 | − | 147.858i | −0.353228 | − | 0.317291i | ||||
\(467\) | 6.29757 | − | 23.5029i | 0.0134852 | − | 0.0503273i | −0.958855 | − | 0.283895i | \(-0.908373\pi\) |
0.972341 | + | 0.233568i | \(0.0750400\pi\) | |||||||
\(468\) | −10.2356 | + | 3.95693i | −0.0218709 | + | 0.00845497i | ||||
\(469\) | 434.494 | − | 10.0242i | 0.926427 | − | 0.0213736i | ||||
\(470\) | −230.568 | − | 354.124i | −0.490570 | − | 0.753455i | ||||
\(471\) | −105.451 | + | 60.8823i | −0.223888 | + | 0.129262i | ||||
\(472\) | −282.774 | + | 744.552i | −0.599098 | + | 1.57744i | ||||
\(473\) | 78.3739 | + | 45.2492i | 0.165695 | + | 0.0956643i | ||||
\(474\) | −52.2162 | + | 102.781i | −0.110161 | + | 0.216837i | ||||
\(475\) | −282.268 | + | 282.268i | −0.594248 | + | 0.594248i | ||||
\(476\) | 72.3427 | − | 546.359i | 0.151980 | − | 1.14781i | ||||
\(477\) | 183.351 | − | 183.351i | 0.384384 | − | 0.384384i | ||||
\(478\) | 237.644 | + | 728.456i | 0.497164 | + | 1.52397i | ||||
\(479\) | 323.542 | + | 186.797i | 0.675452 | + | 0.389973i | 0.798139 | − | 0.602473i | \(-0.205818\pi\) |
−0.122687 | + | 0.992445i | \(0.539151\pi\) | |||||||
\(480\) | 201.098 | − | 1.19139i | 0.418953 | − | 0.00248205i | ||||
\(481\) | −27.2487 | + | 15.7320i | −0.0566500 | + | 0.0327069i | ||||
\(482\) | −114.304 | + | 540.906i | −0.237144 | + | 1.12221i | ||||
\(483\) | 25.1592 | + | 41.3445i | 0.0520895 | + | 0.0855993i | ||||
\(484\) | −173.725 | + | 392.695i | −0.358937 | + | 0.811354i | ||||
\(485\) | 13.0843 | − | 48.8314i | 0.0269780 | − | 0.100683i | ||||
\(486\) | −31.1322 | + | 1.66856i | −0.0640581 | + | 0.00343326i | ||||
\(487\) | −212.933 | − | 122.937i | −0.437235 | − | 0.252438i | 0.265189 | − | 0.964196i | \(-0.414566\pi\) |
−0.702424 | + | 0.711759i | \(0.747899\pi\) | |||||||
\(488\) | 528.032 | − | 430.709i | 1.08203 | − | 0.882600i | ||||
\(489\) | −475.326 | −0.972038 | ||||||||
\(490\) | 146.261 | − | 324.100i | 0.298491 | − | 0.661428i | ||||
\(491\) | −487.067 | − | 487.067i | −0.991990 | − | 0.991990i | 0.00797812 | − | 0.999968i | \(-0.497460\pi\) |
−0.999968 | + | 0.00797812i | \(0.997460\pi\) | |||||||
\(492\) | −251.998 | + | 312.704i | −0.512191 | + | 0.635577i | ||||
\(493\) | 206.821 | − | 55.4175i | 0.419515 | − | 0.112409i | ||||
\(494\) | −45.8919 | − | 41.2229i | −0.0928986 | − | 0.0834472i | ||||
\(495\) | −142.449 | + | 82.2427i | −0.287775 | + | 0.166147i | ||||
\(496\) | 612.078 | − | 556.393i | 1.23403 | − | 1.12176i | ||||
\(497\) | 414.302 | + | 100.830i | 0.833606 | + | 0.202878i | ||||
\(498\) | −65.3176 | + | 309.095i | −0.131160 | + | 0.620674i | ||||
\(499\) | 293.884 | + | 78.7461i | 0.588947 | + | 0.157808i | 0.540972 | − | 0.841041i | \(-0.318057\pi\) |
0.0479750 | + | 0.998849i | \(0.484723\pi\) | |||||||
\(500\) | −528.215 | − | 82.3784i | −1.05643 | − | 0.164757i | ||||
\(501\) | −44.9715 | + | 12.0501i | −0.0897635 | + | 0.0240521i | ||||
\(502\) | −307.295 | − | 156.116i | −0.612141 | − | 0.310989i | ||||
\(503\) | 265.295 | 0.527426 | 0.263713 | − | 0.964601i | \(-0.415053\pi\) | ||||
0.263713 | + | 0.964601i | \(0.415053\pi\) | |||||||
\(504\) | −56.0096 | + | 158.389i | −0.111130 | + | 0.314263i | ||||
\(505\) | − | 29.8555i | − | 0.0591198i | ||||||
\(506\) | −107.558 | − | 54.6430i | −0.212565 | − | 0.107990i | ||||
\(507\) | −75.3857 | − | 281.343i | −0.148690 | − | 0.554918i | ||||
\(508\) | 635.723 | − | 464.186i | 1.25142 | − | 0.913751i | ||||
\(509\) | −109.618 | + | 409.099i | −0.215359 | + | 0.803732i | 0.770681 | + | 0.637222i | \(0.219916\pi\) |
−0.986040 | + | 0.166510i | \(0.946750\pi\) | |||||||
\(510\) | −51.1492 | + | 242.048i | −0.100293 | + | 0.474604i | ||||
\(511\) | −46.6291 | − | 44.5261i | −0.0912507 | − | 0.0871352i | ||||
\(512\) | −153.015 | + | 488.600i | −0.298858 | + | 0.954298i | ||||
\(513\) | −87.6286 | − | 151.777i | −0.170816 | − | 0.295862i | ||||
\(514\) | −132.450 | − | 118.974i | −0.257684 | − | 0.231468i | ||||
\(515\) | −85.7364 | − | 319.973i | −0.166479 | − | 0.621306i | ||||
\(516\) | −41.2539 | + | 4.43482i | −0.0799493 | + | 0.00859461i | ||||
\(517\) | −622.231 | + | 622.231i | −1.20354 | + | 1.20354i | ||||
\(518\) | −88.6939 | + | 473.453i | −0.171224 | + | 0.914002i | ||||
\(519\) | 155.008i | 0.298667i | ||||||||
\(520\) | 2.68077 | − | 26.4085i | 0.00515533 | − | 0.0507856i | ||||
\(521\) | −36.1751 | + | 62.6571i | −0.0694340 | + | 0.120263i | −0.898652 | − | 0.438662i | \(-0.855453\pi\) |
0.829218 | + | 0.558925i | \(0.188786\pi\) | |||||||
\(522\) | −65.1757 | + | 3.49315i | −0.124858 | + | 0.00669187i | ||||
\(523\) | 862.063 | + | 230.989i | 1.64830 | + | 0.441662i | 0.959137 | − | 0.282941i | \(-0.0913099\pi\) |
0.689167 | + | 0.724602i | \(0.257977\pi\) | |||||||
\(524\) | −75.9371 | − | 196.430i | −0.144918 | − | 0.374867i | ||||
\(525\) | 68.8629 | − | 125.893i | 0.131167 | − | 0.239797i | ||||
\(526\) | −172.049 | + | 814.167i | −0.327089 | + | 1.54785i | ||||
\(527\) | 508.791 | + | 881.251i | 0.965447 | + | 1.67220i | ||||
\(528\) | −89.0090 | − | 409.208i | −0.168578 | − | 0.775016i | ||||
\(529\) | −256.533 | + | 444.328i | −0.484939 | + | 0.839939i | ||||
\(530\) | 194.525 | + | 596.280i | 0.367028 | + | 1.12506i | ||||
\(531\) | 211.188 | + | 211.188i | 0.397718 | + | 0.397718i | ||||
\(532\) | −936.403 | + | 122.572i | −1.76016 | + | 0.230398i | ||||
\(533\) | 37.4835 | + | 37.4835i | 0.0703255 | + | 0.0703255i | ||||
\(534\) | 84.1529 | − | 165.644i | 0.157590 | − | 0.310195i | ||||
\(535\) | 211.350 | − | 366.068i | 0.395046 | − | 0.684240i | ||||
\(536\) | 176.351 | − | 464.337i | 0.329013 | − | 0.866299i | ||||
\(537\) | 6.21564 | + | 10.7658i | 0.0115747 | + | 0.0200480i | ||||
\(538\) | 68.0990 | + | 104.592i | 0.126578 | + | 0.194408i | ||||
\(539\) | −723.301 | − | 158.456i | −1.34193 | − | 0.293981i | ||||
\(540\) | 30.5099 | − | 68.9656i | 0.0564997 | − | 0.127714i | ||||
\(541\) | 516.498 | + | 138.395i | 0.954710 | + | 0.255814i | 0.702360 | − | 0.711822i | \(-0.252130\pi\) |
0.252350 | + | 0.967636i | \(0.418796\pi\) | |||||||
\(542\) | 787.694 | + | 707.555i | 1.45331 | + | 1.30545i | ||||
\(543\) | 76.6832 | − | 132.819i | 0.141221 | − | 0.244602i | ||||
\(544\) | −547.331 | − | 311.693i | −1.00612 | − | 0.572965i | ||||
\(545\) | − | 658.077i | − | 1.20748i | ||||||
\(546\) | 19.9964 | + | 9.58518i | 0.0366235 | + | 0.0175553i | ||||
\(547\) | −263.306 | + | 263.306i | −0.481365 | + | 0.481365i | −0.905567 | − | 0.424203i | \(-0.860554\pi\) |
0.424203 | + | 0.905567i | \(0.360554\pi\) | |||||||
\(548\) | 453.236 | − | 48.7232i | 0.827072 | − | 0.0889109i | ||||
\(549\) | −66.1363 | − | 246.824i | −0.120467 | − | 0.449588i | ||||
\(550\) | 19.1436 | + | 357.184i | 0.0348066 | + | 0.649425i | ||||
\(551\) | −183.451 | − | 317.747i | −0.332943 | − | 0.576674i | ||||
\(552\) | 54.5997 | − | 8.84681i | 0.0989125 | − | 0.0160268i | ||||
\(553\) | 223.569 | − | 65.4679i | 0.404285 | − | 0.118387i | ||||
\(554\) | −14.4582 | − | 22.2060i | −0.0260978 | − | 0.0400830i | ||||
\(555\) | 55.9628 | − | 208.856i | 0.100834 | − | 0.376317i | ||||
\(556\) | 31.1086 | − | 199.470i | 0.0559508 | − | 0.358760i | ||||
\(557\) | −112.078 | − | 418.282i | −0.201218 | − | 0.750955i | −0.990569 | − | 0.137014i | \(-0.956250\pi\) |
0.789351 | − | 0.613942i | \(-0.210417\pi\) | |||||||
\(558\) | −96.2032 | − | 294.894i | −0.172407 | − | 0.528483i | ||||
\(559\) | 5.47665i | 0.00979723i | ||||||||
\(560\) | −280.206 | − | 294.315i | −0.500368 | − | 0.525563i | ||||
\(561\) | 515.177 | 0.918319 | ||||||||
\(562\) | 62.8222 | − | 20.4945i | 0.111783 | − | 0.0364671i | ||||
\(563\) | −568.484 | + | 152.325i | −1.00974 | + | 0.270559i | −0.725521 | − | 0.688200i | \(-0.758401\pi\) |
−0.284219 | + | 0.958759i | \(0.591734\pi\) | |||||||
\(564\) | 62.1684 | − | 398.627i | 0.110228 | − | 0.706786i | ||||
\(565\) | −400.132 | − | 107.215i | −0.708198 | − | 0.189761i | ||||
\(566\) | 723.885 | − | 471.317i | 1.27895 | − | 0.832715i | ||||
\(567\) | 45.5634 | + | 43.5084i | 0.0803587 | + | 0.0767344i | ||||
\(568\) | 285.030 | − | 395.257i | 0.501813 | − | 0.695875i | ||||
\(569\) | 176.398 | − | 101.843i | 0.310014 | − | 0.178987i | −0.336919 | − | 0.941534i | \(-0.609385\pi\) |
0.646933 | + | 0.762547i | \(0.276051\pi\) | |||||||
\(570\) | 423.317 | − | 22.6881i | 0.742661 | − | 0.0398036i | ||||
\(571\) | 759.673 | − | 203.554i | 1.33043 | − | 0.356487i | 0.477552 | − | 0.878603i | \(-0.341524\pi\) |
0.852874 | + | 0.522117i | \(0.174858\pi\) | |||||||
\(572\) | −54.9595 | + | 5.90819i | −0.0960831 | + | 0.0103290i | ||||
\(573\) | −12.6441 | − | 12.6441i | −0.0220665 | − | 0.0220665i | ||||
\(574\) | 809.154 | − | 62.1121i | 1.40968 | − | 0.108209i | ||||
\(575\) | −47.2444 | −0.0821641 | ||||||||
\(576\) | 143.594 | + | 127.455i | 0.249294 | + | 0.221277i | ||||
\(577\) | −181.666 | − | 104.885i | −0.314845 | − | 0.181776i | 0.334247 | − | 0.942485i | \(-0.391518\pi\) |
−0.649093 | + | 0.760709i | \(0.724851\pi\) | |||||||
\(578\) | 131.545 | − | 146.444i | 0.227586 | − | 0.253363i | ||||
\(579\) | −39.8378 | + | 148.677i | −0.0688045 | + | 0.256782i | ||||
\(580\) | 63.8727 | − | 144.380i | 0.110125 | − | 0.248932i | ||||
\(581\) | 545.353 | − | 331.862i | 0.938646 | − | 0.571191i | ||||
\(582\) | 40.4482 | − | 26.3356i | 0.0694986 | − | 0.0452501i | ||||
\(583\) | 1131.12 | − | 653.055i | 1.94018 | − | 1.12016i | ||||
\(584\) | −67.2069 | + | 30.2091i | −0.115080 | + | 0.0517279i | ||||
\(585\) | −8.62049 | − | 4.97704i | −0.0147359 | − | 0.00850776i | ||||
\(586\) | −584.284 | − | 296.836i | −0.997071 | − | 0.506546i | ||||
\(587\) | −648.954 | + | 648.954i | −1.10554 | + | 1.10554i | −0.111814 | + | 0.993729i | \(0.535666\pi\) |
−0.993729 | + | 0.111814i | \(0.964334\pi\) | |||||||
\(588\) | 310.662 | − | 136.883i | 0.528337 | − | 0.232794i | ||||
\(589\) | 1232.97 | − | 1232.97i | 2.09334 | − | 2.09334i | ||||
\(590\) | −686.810 | + | 224.058i | −1.16408 | + | 0.379759i | ||||
\(591\) | 27.8468 | + | 16.0774i | 0.0471182 | + | 0.0272037i | ||||
\(592\) | 463.105 | + | 297.633i | 0.782273 | + | 0.502759i | ||||
\(593\) | 702.280 | − | 405.461i | 1.18428 | − | 0.683746i | 0.227281 | − | 0.973829i | \(-0.427016\pi\) |
0.957001 | + | 0.290083i | \(0.0936830\pi\) | |||||||
\(594\) | −153.648 | − | 32.4687i | −0.258667 | − | 0.0546611i | ||||
\(595\) | 427.058 | − | 259.876i | 0.717745 | − | 0.436767i | ||||
\(596\) | 322.650 | + | 834.616i | 0.541360 | + | 1.40036i | ||||
\(597\) | −60.0888 | + | 224.254i | −0.100651 | + | 0.375635i | ||||
\(598\) | −0.390735 | − | 7.29038i | −0.000653403 | − | 0.0121913i | ||||
\(599\) | 221.640 | + | 127.964i | 0.370017 | + | 0.213630i | 0.673466 | − | 0.739218i | \(-0.264805\pi\) |
−0.303449 | + | 0.952848i | \(0.598138\pi\) | |||||||
\(600\) | −103.658 | − | 127.081i | −0.172764 | − | 0.211802i | ||||
\(601\) | 477.059 | 0.793776 | 0.396888 | − | 0.917867i | \(-0.370090\pi\) | ||||
0.396888 | + | 0.917867i | \(0.370090\pi\) | |||||||
\(602\) | 63.6496 | + | 54.5745i | 0.105730 | + | 0.0906554i | ||||
\(603\) | −131.707 | − | 131.707i | −0.218419 | − | 0.218419i | ||||
\(604\) | 758.966 | − | 81.5895i | 1.25657 | − | 0.135082i | ||||
\(605\) | −376.233 | + | 100.811i | −0.621872 | + | 0.166630i | ||||
\(606\) | 19.0480 | − | 21.2055i | 0.0314324 | − | 0.0349925i | ||||
\(607\) | 742.201 | − | 428.510i | 1.22274 | − | 0.705947i | 0.257236 | − | 0.966349i | \(-0.417188\pi\) |
0.965501 | + | 0.260401i | \(0.0838548\pi\) | |||||||
\(608\) | −273.163 | + | 1044.16i | −0.449282 | + | 1.71738i | ||||
\(609\) | 95.3874 | + | 91.0853i | 0.156630 | + | 0.149565i | ||||
\(610\) | 604.742 | + | 127.793i | 0.991380 | + | 0.209497i | ||||
\(611\) | −51.4381 | − | 13.7828i | −0.0841867 | − | 0.0225578i | ||||
\(612\) | −190.758 | + | 139.286i | −0.311696 | + | 0.227591i | ||||
\(613\) | −588.740 | + | 157.752i | −0.960425 | + | 0.257345i | −0.704780 | − | 0.709426i | \(-0.748954\pi\) |
−0.255645 | + | 0.966771i | \(0.582288\pi\) | |||||||
\(614\) | 216.116 | − | 425.397i | 0.351980 | − | 0.692829i | ||||
\(615\) | −364.287 | −0.592336 | ||||||||
\(616\) | −479.004 | + | 697.615i | −0.777604 | + | 1.13249i | ||||
\(617\) | 874.043i | 1.41660i | 0.705911 | + | 0.708301i | \(0.250538\pi\) | ||||
−0.705911 | + | 0.708301i | \(0.749462\pi\) | |||||||
\(618\) | 143.249 | − | 281.967i | 0.231794 | − | 0.456258i | ||||
\(619\) | −53.0758 | − | 198.082i | −0.0857444 | − | 0.320002i | 0.909710 | − | 0.415245i | \(-0.136304\pi\) |
−0.995454 | + | 0.0952423i | \(0.969637\pi\) | |||||||
\(620\) | 741.346 | + | 115.617i | 1.19572 | + | 0.186480i | ||||
\(621\) | 5.36841 | − | 20.0352i | 0.00864477 | − | 0.0322627i | ||||
\(622\) | −192.904 | − | 40.7641i | −0.310135 | − | 0.0655372i | ||||
\(623\) | −360.310 | + | 105.510i | −0.578347 | + | 0.169358i | ||||
\(624\) | 18.7529 | − | 17.0468i | 0.0300527 | − | 0.0273186i | ||||
\(625\) | −94.5192 | − | 163.712i | −0.151231 | − | 0.261939i | ||||
\(626\) | 265.392 | − | 295.451i | 0.423949 | − | 0.471966i | ||||
\(627\) | −228.482 | − | 852.708i | −0.364406 | − | 1.35998i | ||||
\(628\) | 176.449 | − | 218.955i | 0.280969 | − | 0.348654i | ||||
\(629\) | −478.870 | + | 478.870i | −0.761319 | + | 0.761319i | ||||
\(630\) | −143.746 | + | 50.5914i | −0.228168 | + | 0.0803038i | ||||
\(631\) | − | 540.532i | − | 0.856627i | −0.903630 | − | 0.428314i | \(-0.859108\pi\) | ||
0.903630 | − | 0.428314i | \(-0.140892\pi\) | |||||||
\(632\) | 26.8880 | − | 264.876i | 0.0425443 | − | 0.419108i | ||||
\(633\) | −19.6679 | + | 34.0659i | −0.0310710 | + | 0.0538166i | ||||
\(634\) | −22.3007 | − | 416.089i | −0.0351746 | − | 0.656291i | ||||
\(635\) | 689.680 | + | 184.799i | 1.08611 | + | 0.291022i | ||||
\(636\) | −242.266 | + | 547.628i | −0.380922 | + | 0.861050i | ||||
\(637\) | −13.5814 | − | 42.7020i | −0.0213208 | − | 0.0670360i | ||||
\(638\) | −321.664 | − | 67.9736i | −0.504176 | − | 0.106542i | ||||
\(639\) | −91.3704 | − | 158.258i | −0.142990 | − | 0.247665i | ||||
\(640\) | −432.181 | + | 170.025i | −0.675283 | + | 0.265664i | ||||
\(641\) | −307.199 | + | 532.084i | −0.479249 | + | 0.830084i | −0.999717 | − | 0.0237976i | \(-0.992424\pi\) |
0.520468 | + | 0.853881i | \(0.325758\pi\) | |||||||
\(642\) | 383.669 | − | 125.164i | 0.597615 | − | 0.194960i | ||||
\(643\) | −244.889 | − | 244.889i | −0.380854 | − | 0.380854i | 0.490556 | − | 0.871410i | \(-0.336794\pi\) |
−0.871410 | + | 0.490556i | \(0.836794\pi\) | |||||||
\(644\) | −88.6225 | − | 68.1072i | −0.137613 | − | 0.105756i | ||||
\(645\) | −26.6127 | − | 26.6127i | −0.0412600 | − | 0.0412600i | ||||
\(646\) | −1183.75 | − | 601.386i | −1.83243 | − | 0.930937i | ||||
\(647\) | −469.060 | + | 812.436i | −0.724977 | + | 1.25570i | 0.234006 | + | 0.972235i | \(0.424816\pi\) |
−0.958983 | + | 0.283462i | \(0.908517\pi\) | |||||||
\(648\) | 65.6708 | − | 29.5187i | 0.101344 | − | 0.0455535i | ||||
\(649\) | 752.204 | + | 1302.86i | 1.15902 | + | 2.00748i | ||||
\(650\) | −18.1403 | + | 11.8111i | −0.0279082 | + | 0.0181709i | ||||
\(651\) | −300.800 | + | 549.915i | −0.462058 | + | 0.844724i | ||||
\(652\) | 1023.87 | − | 395.815i | 1.57036 | − | 0.607078i | ||||
\(653\) | −593.455 | − | 159.016i | −0.908813 | − | 0.243516i | −0.226016 | − | 0.974124i | \(-0.572570\pi\) |
−0.682797 | + | 0.730608i | \(0.739237\pi\) | |||||||
\(654\) | 419.858 | − | 467.412i | 0.641984 | − | 0.714697i | ||||
\(655\) | 95.5141 | − | 165.435i | 0.145823 | − | 0.252573i | ||||
\(656\) | 282.419 | − | 883.423i | 0.430517 | − | 1.34668i | ||||
\(657\) | 27.6316i | 0.0420572i | ||||||||
\(658\) | −672.761 | + | 460.468i | −1.02243 | + | 0.699800i | ||||
\(659\) | −695.253 | + | 695.253i | −1.05501 | + | 1.05501i | −0.0566158 | + | 0.998396i | \(0.518031\pi\) |
−0.998396 | + | 0.0566158i | \(0.981969\pi\) | |||||||
\(660\) | 238.355 | − | 295.774i | 0.361144 | − | 0.448143i | ||||
\(661\) | −92.3017 | − | 344.475i | −0.139639 | − | 0.521142i | −0.999936 | − | 0.0113470i | \(-0.996388\pi\) |
0.860296 | − | 0.509795i | \(-0.170279\pi\) | |||||||
\(662\) | −1281.11 | + | 68.6625i | −1.93522 | + | 0.103720i | ||||
\(663\) | 15.5884 | + | 26.9998i | 0.0235119 | + | 0.0407237i | ||||
\(664\) | −116.694 | − | 720.197i | −0.175744 | − | 1.08463i | ||||
\(665\) | −619.542 | − | 591.600i | −0.931643 | − | 0.889624i | ||||
\(666\) | 173.000 | − | 112.639i | 0.259760 | − | 0.169128i | ||||
\(667\) | 11.2388 | − | 41.9438i | 0.0168498 | − | 0.0628843i | ||||
\(668\) | 86.8363 | − | 63.4052i | 0.129994 | − | 0.0949180i | ||||
\(669\) | 1.92037 | + | 7.16693i | 0.00287051 | + | 0.0107129i | ||||
\(670\) | 428.326 | − | 139.733i | 0.639292 | − | 0.208556i | ||||
\(671\) | − | 1287.14i | − | 1.91824i | ||||||
\(672\) | −11.2464 | − | 387.816i | −0.0167357 | − | 0.577108i | ||||
\(673\) | −969.211 | −1.44014 | −0.720068 | − | 0.693904i | \(-0.755889\pi\) | ||||
−0.720068 | + | 0.693904i | \(0.755889\pi\) | |||||||
\(674\) | 81.4547 | + | 249.685i | 0.120853 | + | 0.370452i | ||||
\(675\) | −59.4030 | + | 15.9170i | −0.0880045 | + | 0.0235807i | ||||
\(676\) | 396.665 | + | 543.251i | 0.586783 | + | 0.803625i | ||||
\(677\) | −507.249 | − | 135.917i | −0.749259 | − | 0.200763i | −0.136070 | − | 0.990699i | \(-0.543447\pi\) |
−0.613190 | + | 0.789936i | \(0.710114\pi\) | |||||||
\(678\) | −215.797 | − | 331.439i | −0.318285 | − | 0.488847i | ||||
\(679\) | −94.7664 | − | 23.0637i | −0.139568 | − | 0.0339671i | ||||
\(680\) | −91.3811 | − | 563.976i | −0.134384 | − | 0.829376i | ||||
\(681\) | 557.481 | − | 321.862i | 0.818621 | − | 0.472631i | ||||
\(682\) | −83.6213 | − | 1560.22i | −0.122612 | − | 2.28771i | ||||
\(683\) | −485.490 | + | 130.087i | −0.710821 | + | 0.190464i | −0.596072 | − | 0.802931i | \(-0.703273\pi\) |
−0.114748 | + | 0.993395i | \(0.536606\pi\) | |||||||
\(684\) | 315.144 | + | 253.964i | 0.460737 | + | 0.371293i | ||||
\(685\) | 292.380 | + | 292.380i | 0.426832 | + | 0.426832i | ||||
\(686\) | −631.620 | − | 267.680i | −0.920728 | − | 0.390204i | ||||
\(687\) | −265.798 | −0.386896 | ||||||||
\(688\) | 85.1697 | − | 43.9058i | 0.123793 | − | 0.0638166i | ||||
\(689\) | 68.4517 | + | 39.5206i | 0.0993494 | + | 0.0573594i | ||||
\(690\) | 37.3248 | + | 33.5274i | 0.0540940 | + | 0.0485905i | ||||
\(691\) | −205.969 | + | 768.688i | −0.298074 | + | 1.11243i | 0.640671 | + | 0.767815i | \(0.278656\pi\) |
−0.938745 | + | 0.344612i | \(0.888010\pi\) | |||||||
\(692\) | −129.079 | − | 333.894i | −0.186530 | − | 0.482506i | ||||
\(693\) | 164.965 | + | 271.090i | 0.238045 | + | 0.391183i | ||||
\(694\) | 480.018 | + | 737.249i | 0.691669 | + | 1.06232i | ||||
\(695\) | 158.588 | − | 91.5610i | 0.228185 | − | 0.131742i | ||||
\(696\) | 137.482 | − | 61.7976i | 0.197532 | − | 0.0887897i | ||||
\(697\) | 988.105 | + | 570.483i | 1.41765 | + | 0.818483i | ||||
\(698\) | 88.5922 | − | 174.383i | 0.126923 | − | 0.249832i | ||||
\(699\) | 135.494 | − | 135.494i | 0.193840 | − | 0.193840i | ||||
\(700\) | −43.4994 | + | 328.524i | −0.0621420 | + | 0.469320i | ||||
\(701\) | 148.577 | − | 148.577i | 0.211950 | − | 0.211950i | −0.593145 | − | 0.805096i | \(-0.702114\pi\) |
0.805096 | + | 0.593145i | \(0.202114\pi\) | |||||||
\(702\) | −2.94748 | − | 9.03497i | −0.00419869 | − | 0.0128703i | ||||
\(703\) | 1004.99 | + | 580.233i | 1.42958 | + | 0.825367i | ||||
\(704\) | 532.486 | + | 807.333i | 0.756373 | + | 1.14678i | ||||
\(705\) | 316.928 | − | 182.978i | 0.449543 | − | 0.259544i | ||||
\(706\) | −19.8928 | + | 94.1367i | −0.0281768 | + | 0.133338i | ||||
\(707\) | −57.5842 | + | 1.32852i | −0.0814486 | + | 0.00187910i | ||||
\(708\) | −630.770 | − | 279.048i | −0.890918 | − | 0.394135i | ||||
\(709\) | 256.240 | − | 956.300i | 0.361410 | − | 1.34880i | −0.510813 | − | 0.859692i | \(-0.670655\pi\) |
0.872223 | − | 0.489109i | \(-0.162678\pi\) | |||||||
\(710\) | 441.393 | − | 23.6569i | 0.621680 | − | 0.0333196i | ||||
\(711\) | −86.4631 | − | 49.9195i | −0.121608 | − | 0.0702103i | ||||
\(712\) | −43.3334 | + | 426.881i | −0.0608616 | + | 0.599552i | ||||
\(713\) | 206.368 | 0.289436 | ||||||||
\(714\) | 469.129 | + | 87.8840i | 0.657044 | + | 0.123087i | ||||
\(715\) | −35.4541 | − | 35.4541i | −0.0495862 | − | 0.0495862i | ||||
\(716\) | −22.3537 | − | 18.0141i | −0.0312202 | − | 0.0251594i | ||||
\(717\) | −640.972 | + | 171.748i | −0.893964 | + | 0.239537i | ||||
\(718\) | −373.464 | − | 335.468i | −0.520145 | − | 0.467226i | ||||
\(719\) | −426.832 | + | 246.431i | −0.593646 | + | 0.342742i | −0.766538 | − | 0.642199i | \(-0.778022\pi\) |
0.172892 | + | 0.984941i | \(0.444689\pi\) | |||||||
\(720\) | −8.29037 | + | 173.961i | −0.0115144 | + | 0.241613i | ||||
\(721\) | −613.336 | + | 179.603i | −0.850674 | + | 0.249103i | ||||
\(722\) | −321.126 | + | 1519.63i | −0.444773 | + | 2.10475i | ||||
\(723\) | −462.469 | − | 123.918i | −0.639654 | − | 0.171395i | ||||
\(724\) | −54.5775 | + | 349.954i | −0.0753833 | + | 0.483362i | ||||
\(725\) | −124.361 | + | 33.3224i | −0.171532 | + | 0.0459619i | ||||
\(726\) | −331.545 | − | 168.436i | −0.456673 | − | 0.232005i | ||||
\(727\) | −1061.96 | −1.46074 | −0.730372 | − | 0.683050i | \(-0.760653\pi\) | ||||
−0.730372 | + | 0.683050i | \(0.760653\pi\) | |||||||
\(728\) | −51.0550 | − | 3.99543i | −0.0701305 | − | 0.00548823i | ||||
\(729\) | − | 27.0000i | − | 0.0370370i | ||||||
\(730\) | −59.5882 | − | 30.2728i | −0.0816277 | − | 0.0414697i | ||||
\(731\) | 30.5091 | + | 113.861i | 0.0417361 | + | 0.155761i | ||||
\(732\) | 347.996 | + | 476.597i | 0.475405 | + | 0.651089i | ||||
\(733\) | 322.296 | − | 1202.82i | 0.439694 | − | 1.64096i | −0.289884 | − | 0.957062i | \(-0.593617\pi\) |
0.729578 | − | 0.683898i | \(-0.239717\pi\) | |||||||
\(734\) | −148.888 | + | 704.565i | −0.202844 | + | 0.959898i | ||||
\(735\) | 273.497 | + | 141.506i | 0.372105 | + | 0.192525i | ||||
\(736\) | −110.243 | + | 64.5228i | −0.149787 | + | 0.0876669i | ||||
\(737\) | −469.109 | − | 812.521i | −0.636512 | − | 1.10247i | ||||
\(738\) | −258.742 | − | 232.417i | −0.350598 | − | 0.314929i | ||||
\(739\) | −150.991 | − | 563.506i | −0.204318 | − | 0.762525i | −0.989656 | − | 0.143458i | \(-0.954178\pi\) |
0.785338 | − | 0.619067i | \(-0.212489\pi\) | |||||||
\(740\) | 53.3727 | + | 496.487i | 0.0721252 | + | 0.670928i | ||||
\(741\) | 37.7760 | − | 37.7760i | 0.0509797 | − | 0.0509797i | ||||
\(742\) | 1141.43 | − | 401.725i | 1.53831 | − | 0.541408i | ||||
\(743\) | 533.973i | 0.718672i | 0.933208 | + | 0.359336i | \(0.116997\pi\) | ||||
−0.933208 | + | 0.359336i | \(0.883003\pi\) | |||||||
\(744\) | 452.790 | + | 555.103i | 0.608589 | + | 0.746107i | ||||
\(745\) | −405.831 | + | 702.920i | −0.544740 | + | 0.943517i | ||||
\(746\) | 583.841 | − | 31.2915i | 0.782629 | − | 0.0419458i | ||||
\(747\) | −264.273 | − | 70.8119i | −0.353780 | − | 0.0947950i | ||||
\(748\) | −1109.71 | + | 428.999i | −1.48358 | + | 0.573529i | ||||
\(749\) | −715.463 | − | 391.354i | −0.955224 | − | 0.522501i | ||||
\(750\) | 95.7218 | − | 452.974i | 0.127629 | − | 0.603965i | ||||
\(751\) | −317.527 | − | 549.973i | −0.422806 | − | 0.732321i | 0.573407 | − | 0.819271i | \(-0.305621\pi\) |
−0.996213 | + | 0.0869496i | \(0.972288\pi\) | |||||||
\(752\) | 198.032 | + | 910.430i | 0.263341 | + | 1.21068i | ||||
\(753\) | 149.250 | − | 258.508i | 0.198207 | − | 0.343304i | ||||
\(754\) | −6.17058 | − | 18.9148i | −0.00818380 | − | 0.0250860i | ||||
\(755\) | 489.606 | + | 489.606i | 0.648484 | + | 0.648484i | ||||
\(756\) | −134.376 | − | 55.7774i | −0.177746 | − | 0.0737796i | ||||
\(757\) | −495.509 | − | 495.509i | −0.654569 | − | 0.654569i | 0.299520 | − | 0.954090i | \(-0.403173\pi\) |
−0.954090 | + | 0.299520i | \(0.903173\pi\) | |||||||
\(758\) | 396.500 | − | 780.460i | 0.523087 | − | 1.02963i | ||||
\(759\) | 52.2396 | − | 90.4817i | 0.0688269 | − | 0.119212i | ||||
\(760\) | −892.950 | + | 401.376i | −1.17493 | + | 0.528127i | ||||
\(761\) | 732.978 | + | 1269.56i | 0.963178 | + | 1.66827i | 0.714433 | + | 0.699704i | \(0.246685\pi\) |
0.248745 | + | 0.968569i | \(0.419982\pi\) | |||||||
\(762\) | 371.955 | + | 571.278i | 0.488130 | + | 0.749708i | ||||
\(763\) | −1269.27 | + | 29.2833i | −1.66353 | + | 0.0383792i | ||||
\(764\) | 37.7650 | + | 16.7069i | 0.0494306 | + | 0.0218677i | ||||
\(765\) | −206.949 | − | 55.4517i | −0.270521 | − | 0.0724859i | ||||
\(766\) | −462.944 | − | 415.844i | −0.604365 | − | 0.542877i | ||||
\(767\) | −45.5208 | + | 78.8443i | −0.0593491 | + | 0.102796i | ||||
\(768\) | −415.442 | − | 154.971i | −0.540940 | − | 0.201785i | ||||
\(769\) | 581.966i | 0.756783i | 0.925646 | + | 0.378391i | \(0.123523\pi\) | ||||
−0.925646 | + | 0.378391i | \(0.876477\pi\) | |||||||
\(770\) | −765.347 | + | 58.7494i | −0.993957 | + | 0.0762980i | ||||
\(771\) | 109.026 | − | 109.026i | 0.141409 | − | 0.141409i | ||||
\(772\) | −37.9940 | − | 353.430i | −0.0492150 | − | 0.457811i | ||||
\(773\) | 103.116 | + | 384.832i | 0.133397 | + | 0.497843i | 0.999999 | − | 0.00115599i | \(-0.000367963\pi\) |
−0.866603 | + | 0.498999i | \(0.833701\pi\) | |||||||
\(774\) | −1.92309 | − | 35.8812i | −0.00248461 | − | 0.0463582i | ||||
\(775\) | −305.934 | − | 529.894i | −0.394754 | − | 0.683734i | ||||
\(776\) | −65.1970 | + | 90.4101i | −0.0840168 | + | 0.116508i | ||||
\(777\) | −405.324 | − | 98.6452i | −0.521652 | − | 0.126956i | ||||
\(778\) | 617.552 | + | 948.484i | 0.793769 | + | 1.21913i | ||||
\(779\) | 506.021 | − | 1888.50i | 0.649578 | − | 2.42426i | ||||
\(780\) | 22.7134 | + | 3.54230i | 0.0291197 | + | 0.00454140i | ||||
\(781\) | −238.239 | − | 889.120i | −0.305043 | − | 1.13844i | ||||
\(782\) | −48.7364 | − | 149.393i | −0.0623228 | − | 0.191039i | ||||
\(783\) | − | 56.5248i | − | 0.0721901i | ||||||
\(784\) | −555.195 | + | 553.547i | −0.708157 | + | 0.706055i | ||||
\(785\) | 255.073 | 0.324934 | ||||||||
\(786\) | 173.390 | − | 56.5649i | 0.220597 | − | 0.0719655i | ||||
\(787\) | −257.268 | + | 68.9347i | −0.326897 | + | 0.0875917i | −0.418535 | − | 0.908201i | \(-0.637456\pi\) |
0.0916384 | + | 0.995792i | \(0.470790\pi\) | |||||||
\(788\) | −73.3713 | − | 11.4427i | −0.0931108 | − | 0.0145212i | ||||
\(789\) | −696.105 | − | 186.521i | −0.882262 | − | 0.236401i | ||||
\(790\) | 202.381 | − | 131.769i | 0.256178 | − | 0.166796i | ||||
\(791\) | −188.987 | + | 776.530i | −0.238922 | + | 0.981707i | ||||
\(792\) | 358.002 | − | 58.0072i | 0.452023 | − | 0.0732415i | ||||
\(793\) | 67.4573 | − | 38.9465i | 0.0850660 | − | 0.0491129i | ||||
\(794\) | −10.2142 | + | 0.547439i | −0.0128642 | + | 0.000689470i | ||||
\(795\) | −524.670 | + | 140.585i | −0.659962 | + | 0.176836i | ||||
\(796\) | −57.3077 | − | 533.091i | −0.0719946 | − | 0.669712i | ||||
\(797\) | −105.511 | − | 105.511i | −0.132385 | − | 0.132385i | 0.637809 | − | 0.770194i | \(-0.279841\pi\) |
−0.770194 | + | 0.637809i | \(0.779841\pi\) | |||||||
\(798\) | −62.5968 | − | 815.468i | −0.0784421 | − | 1.02189i | ||||
\(799\) | −1146.20 | −1.43454 | ||||||||
\(800\) | 329.108 | + | 187.420i | 0.411385 | + | 0.234275i | ||||
\(801\) | 139.346 | + | 80.4516i | 0.173965 | + | 0.100439i | ||||
\(802\) | 241.329 | − | 268.663i | 0.300909 | − | 0.334991i | ||||
\(803\) | −36.0232 | + | 134.440i | −0.0448608 | + | 0.167423i | ||||
\(804\) | 393.377 | + | 174.027i | 0.489275 | + | 0.216452i | ||||
\(805\) | −2.33840 | − | 101.357i | −0.00290485 | − | 0.125909i | ||||
\(806\) | 79.2389 | − | 51.5919i | 0.0983112 | − | 0.0640098i | ||||
\(807\) | −93.6056 | + | 54.0432i | −0.115992 | + | 0.0669681i | ||||
\(808\) | −23.3720 | + | 61.5392i | −0.0289258 | + | 0.0761624i | ||||
\(809\) | 909.587 | + | 525.150i | 1.12433 | + | 0.649135i | 0.942504 | − | 0.334195i | \(-0.108464\pi\) |
0.181831 | + | 0.983330i | \(0.441798\pi\) | |||||||
\(810\) | 58.2263 | + | 29.5809i | 0.0718843 | + | 0.0365197i | ||||
\(811\) | −881.912 | + | 881.912i | −1.08744 | + | 1.08744i | −0.0916463 | + | 0.995792i | \(0.529213\pi\) |
−0.995792 | + | 0.0916463i | \(0.970787\pi\) | |||||||
\(812\) | −281.317 | − | 116.771i | −0.346450 | − | 0.143806i | ||||
\(813\) | −648.391 | + | 648.391i | −0.797529 | + | 0.797529i | ||||
\(814\) | 988.575 | − | 322.503i | 1.21447 | − | 0.396195i | ||||
\(815\) | 862.315 | + | 497.858i | 1.05806 | + | 0.610868i | ||||
\(816\) | 294.915 | − | 458.876i | 0.361416 | − | 0.562348i | ||||
\(817\) | 174.930 | − | 100.996i | 0.214112 | − | 0.123618i | ||||
\(818\) | −153.999 | − | 32.5428i | −0.188263 | − | 0.0397834i | ||||
\(819\) | −9.21593 | + | 16.8483i | −0.0112527 | + | 0.0205718i | ||||
\(820\) | 784.690 | − | 303.350i | 0.956939 | − | 0.369939i | ||||
\(821\) | 55.0291 | − | 205.371i | 0.0670269 | − | 0.250148i | −0.924280 | − | 0.381714i | \(-0.875334\pi\) |
0.991307 | + | 0.131566i | \(0.0420006\pi\) | |||||||
\(822\) | 21.1280 | + | 394.209i | 0.0257032 | + | 0.479573i | ||||
\(823\) | 1164.59 | + | 672.375i | 1.41505 | + | 0.816980i | 0.995858 | − | 0.0909168i | \(-0.0289797\pi\) |
0.419193 | + | 0.907897i | \(0.362313\pi\) | |||||||
\(824\) | −73.7641 | + | 726.656i | −0.0895196 | + | 0.881865i | ||||
\(825\) | −309.774 | −0.375484 | ||||||||
\(826\) | 462.716 | + | 1314.72i | 0.560189 | + | 1.59167i | ||||
\(827\) | 375.901 | + | 375.901i | 0.454536 | + | 0.454536i | 0.896857 | − | 0.442321i | \(-0.145845\pi\) |
−0.442321 | + | 0.896857i | \(0.645845\pi\) | |||||||
\(828\) | 5.11994 | + | 47.6270i | 0.00618350 | + | 0.0575206i | ||||
\(829\) | 2.73101 | − | 0.731773i | 0.00329435 | − | 0.000882718i | −0.257171 | − | 0.966366i | \(-0.582791\pi\) |
0.260466 | + | 0.965483i | \(0.416124\pi\) | |||||||
\(830\) | 442.243 | − | 492.333i | 0.532823 | − | 0.593172i | ||||
\(831\) | 19.8735 | − | 11.4740i | 0.0239152 | − | 0.0138074i | ||||
\(832\) | −26.1993 | + | 52.3355i | −0.0314895 | + | 0.0629032i | ||||
\(833\) | −520.243 | − | 812.130i | −0.624541 | − | 0.974945i | ||||
\(834\) | 171.057 | + | 36.1475i | 0.205104 | + | 0.0433423i | ||||
\(835\) | 94.2065 | + | 25.2426i | 0.112822 | + | 0.0302306i | ||||
\(836\) | 1202.23 | + | 1646.51i | 1.43807 | + | 1.96951i | ||||
\(837\) | 259.478 | − | 69.5270i | 0.310010 | − | 0.0830669i | ||||
\(838\) | −256.943 | + | 505.759i | −0.306614 | + | 0.603531i | ||||
\(839\) | 205.589 | 0.245041 | 0.122520 | − | 0.992466i | \(-0.460902\pi\) | ||||
0.122520 | + | 0.992466i | \(0.460902\pi\) | |||||||
\(840\) | 267.506 | − | 228.676i | 0.318460 | − | 0.272234i | ||||
\(841\) | 722.665i | 0.859292i | ||||||||
\(842\) | 258.419 | − | 508.665i | 0.306911 | − | 0.604115i | ||||
\(843\) | 14.8116 | + | 55.2776i | 0.0175701 | + | 0.0655724i | ||||
\(844\) | 13.9982 | − | 89.7574i | 0.0165856 | − | 0.106348i | ||||
\(845\) | −157.918 | + | 589.359i | −0.186886 | + | 0.697466i | ||||
\(846\) | 341.845 | + | 72.2382i | 0.404072 | + | 0.0853879i | ||||
\(847\) | 211.183 | + | 721.177i | 0.249330 | + | 0.851449i | ||||
\(848\) | 65.8304 | − | 1381.35i | 0.0776302 | − | 1.62896i | ||||
\(849\) | 374.036 | + | 647.849i | 0.440560 | + | 0.763073i | ||||
\(850\) | −311.347 | + | 346.611i | −0.366291 | + | 0.407778i | ||||
\(851\) | 35.5469 | + | 132.663i | 0.0417708 | + | 0.155891i | ||||
\(852\) | 328.601 | + | 264.809i | 0.385682 | + | 0.310809i | ||||
\(853\) | 453.389 | − | 453.389i | 0.531523 | − | 0.531523i | −0.389503 | − | 0.921025i | \(-0.627353\pi\) |
0.921025 | + | 0.389503i | \(0.127353\pi\) | |||||||
\(854\) | 219.572 | − | 1172.09i | 0.257110 | − | 1.37247i | ||||
\(855\) | 367.129i | 0.429391i | ||||||||
\(856\) | −722.213 | + | 589.100i | −0.843707 | + | 0.688200i | ||||
\(857\) | 740.982 | − | 1283.42i | 0.864623 | − | 1.49757i | −0.00279857 | − | 0.999996i | \(-0.500891\pi\) |
0.867421 | − | 0.497574i | \(-0.165776\pi\) | |||||||
\(858\) | −2.56199 | − | 47.8020i | −0.00298601 | − | 0.0557133i | ||||
\(859\) | −1658.28 | − | 444.335i | −1.93048 | − | 0.517270i | −0.975001 | − | 0.222200i | \(-0.928676\pi\) |
−0.955476 | − | 0.295070i | \(-0.904657\pi\) | |||||||
\(860\) | 79.4858 | + | 35.1639i | 0.0924254 | + | 0.0408883i | ||||
\(861\) | 16.2102 | + | 702.622i | 0.0188271 | + | 0.816054i | ||||
\(862\) | −856.055 | − | 180.900i | −0.993103 | − | 0.209861i | ||||
\(863\) | −196.773 | − | 340.821i | −0.228011 | − | 0.394926i | 0.729208 | − | 0.684292i | \(-0.239889\pi\) |
−0.957218 | + | 0.289366i | \(0.906555\pi\) | |||||||
\(864\) | −116.877 | + | 118.270i | −0.135274 | + | 0.136887i | ||||
\(865\) | 162.356 | − | 281.208i | 0.187694 | − | 0.325096i | ||||
\(866\) | 1109.95 | − | 362.100i | 1.28170 | − | 0.418129i | ||||
\(867\) | 120.545 | + | 120.545i | 0.139037 | + | 0.139037i | ||||
\(868\) | 190.010 | − | 1435.02i | 0.218905 | − | 1.65325i | ||||
\(869\) | −355.604 | − | 355.604i | −0.409210 | − | 0.409210i | ||||
\(870\) | 121.897 | + | 61.9280i | 0.140112 | + | 0.0711816i | ||||
\(871\) | 28.3888 | − | 49.1709i | 0.0325934 | − | 0.0564534i | ||||
\(872\) | −515.168 | + | 1356.45i | −0.590789 | + | 1.55556i | ||||
\(873\) | 20.8998 | + | 36.1996i | 0.0239403 | + | 0.0414657i | ||||
\(874\) | −225.657 | + | 146.923i | −0.258188 | + | 0.168105i | ||||
\(875\) | −799.206 | + | 486.338i | −0.913378 | + | 0.555815i | ||||
\(876\) | −23.0094 | − | 59.5196i | −0.0262664 | − | 0.0679447i | ||||
\(877\) | 660.681 | + | 177.029i | 0.753342 | + | 0.201857i | 0.615000 | − | 0.788527i | \(-0.289156\pi\) |
0.138342 | + | 0.990385i | \(0.455823\pi\) | |||||||
\(878\) | 301.269 | − | 335.391i | 0.343131 | − | 0.381995i | ||||
\(879\) | 283.780 | − | 491.521i | 0.322844 | − | 0.559182i | ||||
\(880\) | −267.130 | + | 835.595i | −0.303556 | + | 0.949539i | ||||
\(881\) | 812.610i | 0.922372i | 0.887304 | + | 0.461186i | \(0.152576\pi\) | ||||
−0.887304 | + | 0.461186i | \(0.847424\pi\) | |||||||
\(882\) | 103.975 | + | 275.000i | 0.117886 | + | 0.311792i | ||||
\(883\) | −6.02678 | + | 6.02678i | −0.00682534 | + | 0.00682534i | −0.710511 | − | 0.703686i | \(-0.751536\pi\) |
0.703686 | + | 0.710511i | \(0.251536\pi\) | |||||||
\(884\) | −56.0614 | − | 45.1781i | −0.0634178 | − | 0.0511064i | ||||
\(885\) | −161.929 | − | 604.327i | −0.182971 | − | 0.682855i | ||||
\(886\) | −845.395 | + | 45.3097i | −0.954170 | + | 0.0511397i | ||||
\(887\) | −58.3045 | − | 100.986i | −0.0657322 | − | 0.113852i | 0.831286 | − | 0.555844i | \(-0.187605\pi\) |
−0.897019 | + | 0.441993i | \(0.854272\pi\) | |||||||
\(888\) | −278.853 | + | 386.691i | −0.314024 | + | 0.435463i | ||||
\(889\) | 325.744 | − | 1338.45i | 0.366416 | − | 1.50557i | ||||
\(890\) | −326.163 | + | 212.362i | −0.366475 | + | 0.238609i | ||||
\(891\) | 35.1999 | − | 131.368i | 0.0395060 | − | 0.147438i | ||||
\(892\) | −10.1046 | − | 13.8387i | −0.0113281 | − | 0.0155143i | ||||
\(893\) | 508.341 | + | 1897.15i | 0.569251 | + | 2.12447i | ||||
\(894\) | −736.717 | + | 240.339i | −0.824069 | + | 0.268836i | ||||
\(895\) | − | 26.0411i | − | 0.0290962i | ||||||
\(896\) | 347.169 | + | 826.008i | 0.387465 | + | 0.921884i | ||||
\(897\) | 6.32272 | 0.00704874 | ||||||||
\(898\) | −356.310 | − | 1092.20i | −0.396782 | − | 1.21626i | ||||
\(899\) | 543.221 | − | 145.556i | 0.604250 | − | 0.161908i | ||||
\(900\) | 114.702 | − | 83.7521i | 0.127447 | − | 0.0930579i | ||||
\(901\) | 1643.29 | + | 440.319i | 1.82386 | + | 0.488701i | ||||
\(902\) | −955.897 | − | 1468.14i | −1.05975 | − | 1.62765i | ||||
\(903\) | −50.1453 | + | 52.5137i | −0.0555319 | + | 0.0581547i | ||||
\(904\) | 740.834 | + | 534.234i | 0.819506 | + | 0.590967i | ||||
\(905\) | −278.230 | + | 160.636i | −0.307436 | + | 0.177498i | ||||
\(906\) | 35.3800 | + | 660.124i | 0.0390508 | + | 0.728613i | ||||
\(907\) | 1546.13 | − | 414.285i | 1.70467 | − | 0.456764i | 0.730558 | − | 0.682850i | \(-0.239260\pi\) |
0.974107 | + | 0.226087i | \(0.0725932\pi\) | |||||||
\(908\) | −932.817 | + | 1157.53i | −1.02733 | + | 1.27481i | ||||
\(909\) | 17.4553 | + | 17.4553i | 0.0192027 | + | 0.0192027i | ||||
\(910\) | −26.2371 | − | 38.3333i | −0.0288319 | − | 0.0421245i | ||||
\(911\) | 268.200 | 0.294401 | 0.147201 | − | 0.989107i | \(-0.452974\pi\) | ||||
0.147201 | + | 0.989107i | \(0.452974\pi\) | |||||||
\(912\) | −890.316 | − | 284.623i | −0.976224 | − | 0.312087i | ||||
\(913\) | −1193.50 | − | 689.066i | −1.30723 | − | 0.754727i | ||||
\(914\) | 168.711 | + | 151.546i | 0.184585 | + | 0.165806i | ||||
\(915\) | −138.543 | + | 517.048i | −0.151413 | + | 0.565080i | ||||
\(916\) | 572.540 | − | 221.336i | 0.625043 | − | 0.241633i | ||||
\(917\) | −323.335 | − | 176.862i | −0.352601 | − | 0.192871i | ||||
\(918\) | −111.611 | − | 171.420i | −0.121580 | − | 0.186732i | ||||
\(919\) | −1118.70 | + | 645.883i | −1.21730 | + | 0.702811i | −0.964340 | − | 0.264665i | \(-0.914739\pi\) |
−0.252963 | + | 0.967476i | \(0.581405\pi\) | |||||||
\(920\) | −108.318 | − | 41.1384i | −0.117737 | − | 0.0447156i | ||||
\(921\) | 357.860 | + | 206.610i | 0.388556 | + | 0.224333i | ||||
\(922\) | 168.436 | − | 331.545i | 0.182685 | − | 0.359593i | ||||
\(923\) | 39.3890 | − | 39.3890i | 0.0426750 | − | 0.0426750i | ||||
\(924\) | −581.085 | − | 446.569i | −0.628880 | − | 0.483299i | ||||
\(925\) | 287.943 | − | 287.943i | 0.311290 | − | 0.311290i | ||||
\(926\) | 403.162 | + | 1235.82i | 0.435380 | + | 1.33458i | ||||
\(927\) | 237.201 | + | 136.948i | 0.255881 | + | 0.147733i | ||||
\(928\) | −244.683 | + | 247.600i | −0.263667 | + | 0.266810i | ||||
\(929\) | −1095.93 | + | 632.738i | −1.17969 | + | 0.681096i | −0.955943 | − | 0.293551i | \(-0.905163\pi\) |
−0.223749 | + | 0.974647i | \(0.571830\pi\) | |||||||
\(930\) | −134.345 | + | 635.746i | −0.144457 | + | 0.683597i | ||||
\(931\) | −1113.49 | + | 1221.27i | −1.19601 | + | 1.31179i | ||||
\(932\) | −179.032 | + | 404.690i | −0.192094 | + | 0.434216i | ||||
\(933\) | 44.1931 | − | 164.931i | 0.0473666 | − | 0.176775i | ||||
\(934\) | −48.5941 | + | 2.60445i | −0.0520280 | + | 0.00278849i | ||||
\(935\) | −934.610 | − | 539.597i | −0.999583 | − | 0.577109i | ||||
\(936\) | 13.8726 | + | 17.0073i | 0.0148212 | + | 0.0181702i | ||||
\(937\) | −777.432 | −0.829703 | −0.414852 | − | 0.909889i | \(-0.636166\pi\) | ||||
−0.414852 | + | 0.909889i | \(0.636166\pi\) | |||||||
\(938\) | −288.571 | − | 819.921i | −0.307645 | − | 0.874116i | ||||
\(939\) | 243.201 | + | 243.201i | 0.259000 | + | 0.259000i | ||||
\(940\) | −530.306 | + | 658.056i | −0.564155 | + | 0.700059i | ||||
\(941\) | 239.131 | − | 64.0750i | 0.254124 | − | 0.0680924i | −0.129508 | − | 0.991578i | \(-0.541340\pi\) |
0.383632 | + | 0.923486i | \(0.374673\pi\) | |||||||
\(942\) | 181.170 | + | 162.738i | 0.192325 | + | 0.172758i | ||||
\(943\) | 200.390 | − | 115.695i | 0.212503 | − | 0.122689i | ||||
\(944\) | 1591.08 | + | 75.8250i | 1.68546 | + | 0.0803231i | ||||
\(945\) | −37.0881 | − | 126.654i | −0.0392467 | − | 0.134025i | ||||
\(946\) | 37.4216 | − | 177.086i | 0.0395577 | − | 0.187195i | ||||
\(947\) | −1019.09 | − | 273.064i | −1.07612 | − | 0.288347i | −0.323117 | − | 0.946359i | \(-0.604731\pi\) |
−0.753007 | + | 0.658012i | \(0.771398\pi\) | |||||||
\(948\) | 227.815 | + | 35.5291i | 0.240311 | + | 0.0374779i | ||||
\(949\) | −8.13587 | + | 2.18000i | −0.00857309 | + | 0.00229715i | ||||
\(950\) | 711.786 | + | 361.611i | 0.749248 | + | 0.380644i | ||||
\(951\) | 360.861 | 0.379454 | ||||||||
\(952\) | −1083.71 | + | 201.348i | −1.13835 | + | 0.211500i | ||||
\(953\) | 287.929i | 0.302129i | 0.988524 | + | 0.151065i | \(0.0482702\pi\) | ||||
−0.988524 | + | 0.151065i | \(0.951730\pi\) | |||||||
\(954\) | −462.351 | − | 234.890i | −0.484644 | − | 0.246216i | ||||
\(955\) | 9.69488 | + | 36.1818i | 0.0101517 | + | 0.0378867i | ||||
\(956\) | 1237.66 | − | 903.704i | 1.29463 | − | 0.945297i | ||||
\(957\) | 73.6913 | − | 275.020i | 0.0770024 | − | 0.287377i | ||||
\(958\) | 154.483 | − | 731.043i | 0.161256 | − | 0.763093i | ||||
\(959\) | 550.921 | − | 576.942i | 0.574475 | − | 0.601608i | ||||
\(960\) | −127.004 | − | 381.624i | −0.132295 | − | 0.397525i | ||||
\(961\) | 855.852 | + | 1482.38i | 0.890584 | + | 1.54254i | ||||
\(962\) | 46.8146 | + | 42.0517i | 0.0486638 | + | 0.0437128i | ||||
\(963\) | 90.4576 | + | 337.592i | 0.0939331 | + | 0.350563i | ||||
\(964\) | 1099.37 | − | 118.183i | 1.14042 | − | 0.122597i | ||||
\(965\) | 227.996 | − | 227.996i | 0.236265 | − | 0.236265i | ||||
\(966\) | 63.0056 | − | 73.4826i | 0.0652231 | − | 0.0760690i | ||||
\(967\) | − | 690.216i | − | 0.713770i | −0.934148 | − | 0.356885i | \(-0.883839\pi\) | ||
0.934148 | − | 0.356885i | \(-0.116161\pi\) | |||||||
\(968\) | 854.422 | + | 86.7339i | 0.882668 | + | 0.0896011i | ||||
\(969\) | 574.934 | − | 995.816i | 0.593328 | − | 1.02767i | ||||
\(970\) | −100.963 | + | 5.41122i | −0.104086 | + | 0.00557857i | ||||
\(971\) | −890.287 | − | 238.552i | −0.916877 | − | 0.245676i | −0.230627 | − | 0.973042i | \(-0.574078\pi\) |
−0.686250 | + | 0.727366i | \(0.740744\pi\) | |||||||
\(972\) | 22.4835 | + | 58.1592i | 0.0231312 | + | 0.0598346i | ||||
\(973\) | −183.656 | − | 301.805i | −0.188753 | − | 0.310180i | ||||
\(974\) | −101.670 | + | 481.123i | −0.104384 | + | 0.493967i | ||||
\(975\) | −9.37323 | − | 16.2349i | −0.00961357 | − | 0.0166512i | ||||
\(976\) | −1146.47 | − | 736.826i | −1.17466 | − | 0.754945i | ||||
\(977\) | −575.276 | + | 996.408i | −0.588819 | + | 1.01986i | 0.405568 | + | 0.914065i | \(0.367074\pi\) |
−0.994387 | + | 0.105800i | \(0.966260\pi\) | |||||||
\(978\) | 294.839 | + | 903.776i | 0.301471 | + | 0.924106i | ||||
\(979\) | 573.100 | + | 573.100i | 0.585393 | + | 0.585393i | ||||
\(980\) | −706.960 | − | 77.0621i | −0.721388 | − | 0.0786348i | ||||
\(981\) | 384.750 | + | 384.750i | 0.392202 | + | 0.392202i | ||||
\(982\) | −623.978 | + | 1228.22i | −0.635415 | + | 1.25073i | ||||
\(983\) | −352.526 | + | 610.592i | −0.358622 | + | 0.621152i | −0.987731 | − | 0.156165i | \(-0.950087\pi\) |
0.629109 | + | 0.777317i | \(0.283420\pi\) | |||||||
\(984\) | 750.880 | + | 285.178i | 0.763089 | + | 0.289815i | ||||
\(985\) | −33.6790 | − | 58.3337i | −0.0341918 | − | 0.0592220i | ||||
\(986\) | −233.658 | − | 358.871i | −0.236976 | − | 0.363966i | ||||
\(987\) | −367.024 | − | 603.135i | −0.371858 | − | 0.611079i | ||||
\(988\) | −49.9142 | + | 112.828i | −0.0505205 | + | 0.114198i | ||||
\(989\) | 23.0914 | + | 6.18732i | 0.0233482 | + | 0.00625613i | ||||
\(990\) | 244.734 | + | 219.835i | 0.247206 | + | 0.222055i | ||||
\(991\) | 196.046 | − | 339.561i | 0.197826 | − | 0.342645i | −0.749997 | − | 0.661441i | \(-0.769945\pi\) |
0.947823 | + | 0.318796i | \(0.103279\pi\) | |||||||
\(992\) | −1437.58 | − | 818.669i | −1.44917 | − | 0.825271i | ||||
\(993\) | − | 1111.07i | − | 1.11890i | ||||||
\(994\) | −65.2698 | − | 850.289i | −0.0656637 | − | 0.855422i | ||||
\(995\) | 343.895 | − | 343.895i | 0.345623 | − | 0.345623i | ||||
\(996\) | 628.223 | − | 67.5345i | 0.630746 | − | 0.0678057i | ||||
\(997\) | 187.462 | + | 699.619i | 0.188026 | + | 0.701724i | 0.993962 | + | 0.109721i | \(0.0349959\pi\) |
−0.805936 | + | 0.592003i | \(0.798337\pi\) | |||||||
\(998\) | −32.5666 | − | 607.631i | −0.0326318 | − | 0.608849i | ||||
\(999\) | 89.3903 | + | 154.829i | 0.0894798 | + | 0.154984i |
(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 | 336.3.bv.a.325.25 | yes | 256 | |
7.5 | odd | 6 | inner | 336.3.bv.a.229.18 | yes | 256 | |
16.13 | even | 4 | inner | 336.3.bv.a.157.18 | yes | 256 | |
112.61 | odd | 12 | inner | 336.3.bv.a.61.25 | ✓ | 256 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
336.3.bv.a.61.25 | ✓ | 256 | 112.61 | odd | 12 | inner | |
336.3.bv.a.157.18 | yes | 256 | 16.13 | even | 4 | inner | |
336.3.bv.a.229.18 | yes | 256 | 7.5 | odd | 6 | inner | |
336.3.bv.a.325.25 | yes | 256 | 1.1 | even | 1 | trivial |