Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,3,Mod(73,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([2, 3]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.73");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.q (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: | \(7.82018358714\) |
Analytic rank: | \(0\) |
Dimension: | \(216\) |
Relative dimension: | \(54\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 73.10 | ||
Character | \(\chi\) | \(=\) | 287.73 |
Dual form | 287.3.q.a.173.10 |
$q$-expansion
comment: q-expansion
sage: f.q_expansion() # note that sage often uses an isomorphic number field
gp: mfcoefs(f, 20)
Character values
We give the values of \(\chi\) on generators for \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{1}{6}\right)\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.27032 | + | 1.31077i | −1.13516 | + | 0.655385i | −0.945228 | − | 0.326412i | \(-0.894160\pi\) |
−0.189933 | + | 0.981797i | \(0.560827\pi\) | |||||||
\(3\) | 4.22026 | − | 1.13082i | 1.40675 | − | 0.376939i | 0.525989 | − | 0.850492i | \(-0.323695\pi\) |
0.880765 | + | 0.473553i | \(0.157029\pi\) | |||||||
\(4\) | 1.43624 | − | 2.48764i | 0.359060 | − | 0.621909i | ||||
\(5\) | −0.688501 | − | 1.19252i | −0.137700 | − | 0.238504i | 0.788926 | − | 0.614489i | \(-0.210638\pi\) |
−0.926626 | + | 0.375985i | \(0.877304\pi\) | |||||||
\(6\) | −8.09911 | + | 8.09911i | −1.34985 | + | 1.34985i | ||||
\(7\) | 4.55185 | + | 5.31796i | 0.650264 | + | 0.759709i | ||||
\(8\) | − | 2.95585i | − | 0.369481i | ||||||
\(9\) | 8.73764 | − | 5.04468i | 0.970849 | − | 0.560520i | ||||
\(10\) | 3.12624 | + | 1.80493i | 0.312624 | + | 0.180493i | ||||
\(11\) | 1.84953 | + | 6.90255i | 0.168139 | + | 0.627504i | 0.997619 | + | 0.0689674i | \(0.0219705\pi\) |
−0.829480 | + | 0.558537i | \(0.811363\pi\) | |||||||
\(12\) | 3.24824 | − | 12.1226i | 0.270687 | − | 1.01022i | ||||
\(13\) | −1.89334 | − | 1.89334i | −0.145642 | − | 0.145642i | 0.630526 | − | 0.776168i | \(-0.282839\pi\) |
−0.776168 | + | 0.630526i | \(0.782839\pi\) | |||||||
\(14\) | −17.3048 | − | 6.10705i | −1.23606 | − | 0.436218i | ||||
\(15\) | −4.25417 | − | 4.25417i | −0.283612 | − | 0.283612i | ||||
\(16\) | 9.61939 | + | 16.6613i | 0.601212 | + | 1.04133i | ||||
\(17\) | 2.96941 | + | 11.0820i | 0.174671 | + | 0.651881i | 0.996607 | + | 0.0823019i | \(0.0262272\pi\) |
−0.821936 | + | 0.569579i | \(0.807106\pi\) | |||||||
\(18\) | −13.2248 | + | 22.9061i | −0.734713 | + | 1.27256i | ||||
\(19\) | 21.1030 | + | 5.65453i | 1.11068 | + | 0.297607i | 0.767108 | − | 0.641518i | \(-0.221695\pi\) |
0.343576 | + | 0.939125i | \(0.388362\pi\) | |||||||
\(20\) | −3.95541 | −0.197770 | ||||||||
\(21\) | 25.2236 | + | 17.2959i | 1.20112 | + | 0.823614i | ||||
\(22\) | −13.2467 | − | 13.2467i | −0.602122 | − | 0.602122i | ||||
\(23\) | −4.96498 | − | 8.59959i | −0.215869 | − | 0.373895i | 0.737672 | − | 0.675159i | \(-0.235925\pi\) |
−0.953541 | + | 0.301264i | \(0.902592\pi\) | |||||||
\(24\) | −3.34252 | − | 12.4745i | −0.139272 | − | 0.519769i | ||||
\(25\) | 11.5519 | − | 20.0085i | 0.462077 | − | 0.800341i | ||||
\(26\) | 6.78023 | + | 1.81676i | 0.260778 | + | 0.0698753i | ||||
\(27\) | 3.36550 | − | 3.36550i | 0.124648 | − | 0.124648i | ||||
\(28\) | 19.7667 | − | 3.68549i | 0.705953 | − | 0.131624i | ||||
\(29\) | 32.7263 | − | 32.7263i | 1.12849 | − | 1.12849i | 0.138072 | − | 0.990422i | \(-0.455909\pi\) |
0.990422 | − | 0.138072i | \(-0.0440906\pi\) | |||||||
\(30\) | 15.2346 | + | 4.08209i | 0.507820 | + | 0.136070i | ||||
\(31\) | 7.70768 | + | 4.45003i | 0.248635 | + | 0.143549i | 0.619139 | − | 0.785281i | \(-0.287482\pi\) |
−0.370504 | + | 0.928831i | \(0.620815\pi\) | |||||||
\(32\) | −33.4389 | − | 19.3059i | −1.04496 | − | 0.603310i | ||||
\(33\) | 15.6110 | + | 27.0391i | 0.473061 | + | 0.819366i | ||||
\(34\) | −21.2674 | − | 21.2674i | −0.625513 | − | 0.625513i | ||||
\(35\) | 3.20782 | − | 9.08958i | 0.0916519 | − | 0.259702i | ||||
\(36\) | − | 28.9814i | − | 0.805040i | ||||||
\(37\) | 23.3739 | + | 40.4848i | 0.631727 | + | 1.09418i | 0.987199 | + | 0.159496i | \(0.0509869\pi\) |
−0.355472 | + | 0.934687i | \(0.615680\pi\) | |||||||
\(38\) | −55.3224 | + | 14.8236i | −1.45585 | + | 0.390094i | ||||
\(39\) | −10.1314 | − | 5.84938i | −0.259780 | − | 0.149984i | ||||
\(40\) | −3.52490 | + | 2.03510i | −0.0881226 | + | 0.0508776i | ||||
\(41\) | −25.3209 | + | 32.2467i | −0.617583 | + | 0.786506i | ||||
\(42\) | −79.9366 | − | 6.20484i | −1.90325 | − | 0.147734i | ||||
\(43\) | − | 1.74946i | − | 0.0406851i | −0.999793 | − | 0.0203425i | \(-0.993524\pi\) | ||
0.999793 | − | 0.0203425i | \(-0.00647568\pi\) | |||||||
\(44\) | 19.8274 | + | 5.31274i | 0.450623 | + | 0.120744i | ||||
\(45\) | −12.0317 | − | 6.94653i | −0.267372 | − | 0.154367i | ||||
\(46\) | 22.5442 | + | 13.0159i | 0.490091 | + | 0.282954i | ||||
\(47\) | 53.5048 | + | 14.3366i | 1.13840 | + | 0.305033i | 0.778307 | − | 0.627884i | \(-0.216079\pi\) |
0.360092 | + | 0.932917i | \(0.382745\pi\) | |||||||
\(48\) | 59.4372 | + | 59.4372i | 1.23827 | + | 1.23827i | ||||
\(49\) | −7.56140 | + | 48.4131i | −0.154314 | + | 0.988022i | ||||
\(50\) | 60.5677i | 1.21135i | ||||||||
\(51\) | 25.0634 | + | 43.4110i | 0.491438 | + | 0.851196i | ||||
\(52\) | −7.42924 | + | 1.99066i | −0.142870 | + | 0.0382819i | ||||
\(53\) | −0.233821 | − | 0.872632i | −0.00441172 | − | 0.0164648i | 0.963685 | − | 0.267042i | \(-0.0860463\pi\) |
−0.968097 | + | 0.250577i | \(0.919380\pi\) | |||||||
\(54\) | −3.22937 | + | 12.0522i | −0.0598032 | + | 0.223189i | ||||
\(55\) | 6.95801 | − | 6.95801i | 0.126509 | − | 0.126509i | ||||
\(56\) | 15.7191 | − | 13.4546i | 0.280698 | − | 0.240260i | ||||
\(57\) | 95.4544 | 1.67464 | ||||||||
\(58\) | −31.4026 | + | 117.196i | −0.541424 | + | 2.02062i | ||||
\(59\) | −90.5579 | − | 52.2836i | −1.53488 | − | 0.886163i | −0.999126 | − | 0.0417887i | \(-0.986694\pi\) |
−0.535753 | − | 0.844375i | \(-0.679972\pi\) | |||||||
\(60\) | −16.6929 | + | 4.47284i | −0.278214 | + | 0.0745473i | ||||
\(61\) | 30.9579 | + | 53.6207i | 0.507507 | + | 0.879028i | 0.999962 | + | 0.00869034i | \(0.00276626\pi\) |
−0.492455 | + | 0.870338i | \(0.663900\pi\) | |||||||
\(62\) | −23.3319 | −0.376321 | ||||||||
\(63\) | 66.5998 | + | 23.5038i | 1.05714 | + | 0.373076i | ||||
\(64\) | 24.2675 | 0.379179 | ||||||||
\(65\) | −0.954278 | + | 3.56142i | −0.0146812 | + | 0.0547910i | ||||
\(66\) | −70.8841 | − | 40.9249i | −1.07400 | − | 0.620075i | ||||
\(67\) | −28.8444 | + | 7.72884i | −0.430514 | + | 0.115356i | −0.467567 | − | 0.883957i | \(-0.654869\pi\) |
0.0370536 | + | 0.999313i | \(0.488203\pi\) | |||||||
\(68\) | 31.8327 | + | 8.52955i | 0.468128 | + | 0.125435i | ||||
\(69\) | −30.6781 | − | 30.6781i | −0.444610 | − | 0.444610i | ||||
\(70\) | 4.63158 | + | 24.8410i | 0.0661655 | + | 0.354871i | ||||
\(71\) | −30.7997 | + | 30.7997i | −0.433798 | + | 0.433798i | −0.889918 | − | 0.456120i | \(-0.849239\pi\) |
0.456120 | + | 0.889918i | \(0.349239\pi\) | |||||||
\(72\) | −14.9113 | − | 25.8271i | −0.207101 | − | 0.358710i | ||||
\(73\) | 8.60551 | − | 14.9052i | 0.117884 | − | 0.204181i | −0.801045 | − | 0.598604i | \(-0.795722\pi\) |
0.918929 | + | 0.394423i | \(0.129056\pi\) | |||||||
\(74\) | −106.132 | − | 61.2756i | −1.43422 | − | 0.828049i | ||||
\(75\) | 26.1262 | − | 97.5044i | 0.348350 | − | 1.30006i | ||||
\(76\) | 44.3754 | − | 44.3754i | 0.583886 | − | 0.583886i | ||||
\(77\) | −28.2887 | + | 41.2551i | −0.367386 | + | 0.535780i | ||||
\(78\) | 30.6688 | 0.393189 | ||||||||
\(79\) | −31.0558 | − | 8.32138i | −0.393112 | − | 0.105334i | 0.0568480 | − | 0.998383i | \(-0.481895\pi\) |
−0.449960 | + | 0.893049i | \(0.648562\pi\) | |||||||
\(80\) | 13.2459 | − | 22.9426i | 0.165574 | − | 0.286783i | ||||
\(81\) | −35.0046 | + | 60.6297i | −0.432155 | + | 0.748514i | ||||
\(82\) | 15.2185 | − | 106.400i | 0.185591 | − | 1.29757i | ||||
\(83\) | − | 89.3470i | − | 1.07647i | −0.842795 | − | 0.538235i | \(-0.819091\pi\) | ||
0.842795 | − | 0.538235i | \(-0.180909\pi\) | |||||||
\(84\) | 79.2530 | − | 37.9062i | 0.943488 | − | 0.451264i | ||||
\(85\) | 11.1710 | − | 11.1710i | 0.131424 | − | 0.131424i | ||||
\(86\) | 2.29314 | + | 3.97183i | 0.0266644 | + | 0.0461841i | ||||
\(87\) | 101.106 | − | 175.121i | 1.16214 | − | 2.01289i | ||||
\(88\) | 20.4029 | − | 5.46694i | 0.231851 | − | 0.0621243i | ||||
\(89\) | 32.3439 | − | 120.709i | 0.363414 | − | 1.35628i | −0.506144 | − | 0.862449i | \(-0.668929\pi\) |
0.869558 | − | 0.493831i | \(-0.164404\pi\) | |||||||
\(90\) | 36.4212 | 0.404680 | ||||||||
\(91\) | 1.45052 | − | 18.6869i | 0.0159397 | − | 0.205351i | ||||
\(92\) | −28.5236 | −0.310039 | ||||||||
\(93\) | 37.5606 | + | 10.0643i | 0.403877 | + | 0.108219i | ||||
\(94\) | −140.265 | + | 37.5839i | −1.49218 | + | 0.399829i | ||||
\(95\) | −7.78630 | − | 29.0589i | −0.0819611 | − | 0.305883i | ||||
\(96\) | −162.952 | − | 43.6629i | −1.69742 | − | 0.454822i | ||||
\(97\) | −9.59968 | + | 9.59968i | −0.0989657 | + | 0.0989657i | −0.754856 | − | 0.655890i | \(-0.772293\pi\) |
0.655890 | + | 0.754856i | \(0.272293\pi\) | |||||||
\(98\) | −46.2916 | − | 119.824i | −0.472363 | − | 1.22270i | ||||
\(99\) | 50.9817 | + | 50.9817i | 0.514966 | + | 0.514966i | ||||
\(100\) | −33.1827 | − | 57.4741i | −0.331827 | − | 0.574741i | ||||
\(101\) | −37.0499 | − | 138.272i | −0.366831 | − | 1.36903i | −0.864922 | − | 0.501907i | \(-0.832632\pi\) |
0.498090 | − | 0.867125i | \(-0.334035\pi\) | |||||||
\(102\) | −113.804 | − | 65.7046i | −1.11572 | − | 0.644163i | ||||
\(103\) | 2.45624 | + | 4.25433i | 0.0238470 | + | 0.0413042i | 0.877703 | − | 0.479206i | \(-0.159075\pi\) |
−0.853856 | + | 0.520510i | \(0.825742\pi\) | |||||||
\(104\) | −5.59643 | + | 5.59643i | −0.0538119 | + | 0.0538119i | ||||
\(105\) | 3.25918 | − | 41.9879i | 0.0310398 | − | 0.399884i | ||||
\(106\) | 1.67467 | + | 1.67467i | 0.0157988 | + | 0.0157988i | ||||
\(107\) | −78.9809 | − | 136.799i | −0.738139 | − | 1.27849i | −0.953332 | − | 0.301923i | \(-0.902372\pi\) |
0.215194 | − | 0.976571i | \(-0.430962\pi\) | |||||||
\(108\) | −3.53849 | − | 13.2058i | −0.0327638 | − | 0.122276i | ||||
\(109\) | −11.9978 | + | 3.21479i | −0.110071 | + | 0.0294935i | −0.313434 | − | 0.949610i | \(-0.601480\pi\) |
0.203363 | + | 0.979103i | \(0.434813\pi\) | |||||||
\(110\) | −6.67657 | + | 24.9173i | −0.0606961 | + | 0.226521i | ||||
\(111\) | 144.425 | + | 144.425i | 1.30112 | + | 1.30112i | ||||
\(112\) | −44.8180 | + | 126.995i | −0.400161 | + | 1.13388i | ||||
\(113\) | −59.9043 | −0.530126 | −0.265063 | − | 0.964231i | \(-0.585393\pi\) | ||||
−0.265063 | + | 0.964231i | \(0.585393\pi\) | |||||||
\(114\) | −216.712 | + | 125.119i | −1.90098 | + | 1.09753i | ||||
\(115\) | −6.83678 | + | 11.8417i | −0.0594503 | + | 0.102971i | ||||
\(116\) | −34.4085 | − | 128.414i | −0.296625 | − | 1.10702i | ||||
\(117\) | −26.0946 | − | 6.99204i | −0.223031 | − | 0.0597610i | ||||
\(118\) | 274.127 | 2.32311 | ||||||||
\(119\) | −45.4172 | + | 66.2347i | −0.381657 | + | 0.556594i | ||||
\(120\) | −12.5747 | + | 12.5747i | −0.104789 | + | 0.104789i | ||||
\(121\) | 60.5647 | − | 34.9670i | 0.500534 | − | 0.288984i | ||||
\(122\) | −140.569 | − | 81.1575i | −1.15220 | − | 0.665225i | ||||
\(123\) | −70.3957 | + | 164.723i | −0.572323 | + | 1.33921i | ||||
\(124\) | 22.1401 | − | 12.7826i | 0.178549 | − | 0.103086i | ||||
\(125\) | −66.2391 | −0.529913 | ||||||||
\(126\) | −182.011 | + | 33.9358i | −1.44453 | + | 0.269332i | ||||
\(127\) | −35.8001 | −0.281890 | −0.140945 | − | 0.990017i | \(-0.545014\pi\) | ||||
−0.140945 | + | 0.990017i | \(0.545014\pi\) | |||||||
\(128\) | 78.6605 | − | 45.4147i | 0.614535 | − | 0.354802i | ||||
\(129\) | −1.97832 | − | 7.38318i | −0.0153358 | − | 0.0572339i | ||||
\(130\) | −2.50168 | − | 9.33640i | −0.0192437 | − | 0.0718184i | ||||
\(131\) | −25.2556 | − | 43.7440i | −0.192791 | − | 0.333924i | 0.753383 | − | 0.657582i | \(-0.228421\pi\) |
−0.946174 | + | 0.323658i | \(0.895087\pi\) | |||||||
\(132\) | 89.6846 | 0.679429 | ||||||||
\(133\) | 65.9870 | + | 137.963i | 0.496143 | + | 1.03732i | ||||
\(134\) | 55.3554 | − | 55.3554i | 0.413100 | − | 0.413100i | ||||
\(135\) | −6.33058 | − | 1.69627i | −0.0468932 | − | 0.0125650i | ||||
\(136\) | 32.7566 | − | 8.77712i | 0.240858 | − | 0.0645376i | ||||
\(137\) | −101.489 | + | 27.1939i | −0.740796 | + | 0.198496i | −0.609432 | − | 0.792838i | \(-0.708602\pi\) |
−0.131364 | + | 0.991334i | \(0.541936\pi\) | |||||||
\(138\) | 109.861 | + | 29.4371i | 0.796094 | + | 0.213313i | ||||
\(139\) | − | 182.983i | − | 1.31642i | −0.752833 | − | 0.658211i | \(-0.771313\pi\) | ||
0.752833 | − | 0.658211i | \(-0.228687\pi\) | |||||||
\(140\) | −18.0044 | − | 21.0347i | −0.128603 | − | 0.150248i | ||||
\(141\) | 242.016 | 1.71643 | ||||||||
\(142\) | 29.5538 | − | 110.296i | 0.208126 | − | 0.776735i | ||||
\(143\) | 9.56709 | − | 16.5707i | 0.0669027 | − | 0.115879i | ||||
\(144\) | 168.102 | + | 97.0535i | 1.16737 | + | 0.673982i | ||||
\(145\) | −61.5589 | − | 16.4947i | −0.424544 | − | 0.113756i | ||||
\(146\) | 45.1194i | 0.309037i | ||||||||
\(147\) | 22.8352 | + | 212.866i | 0.155341 | + | 1.44807i | ||||
\(148\) | 134.282 | 0.907310 | ||||||||
\(149\) | −49.8420 | + | 186.013i | −0.334510 | + | 1.24841i | 0.569890 | + | 0.821721i | \(0.306986\pi\) |
−0.904400 | + | 0.426687i | \(0.859681\pi\) | |||||||
\(150\) | 68.4909 | + | 255.612i | 0.456606 | + | 1.70408i | ||||
\(151\) | 14.2200 | + | 53.0698i | 0.0941723 | + | 0.351456i | 0.996893 | − | 0.0787721i | \(-0.0250999\pi\) |
−0.902720 | + | 0.430228i | \(0.858433\pi\) | |||||||
\(152\) | 16.7139 | − | 62.3773i | 0.109960 | − | 0.410377i | ||||
\(153\) | 81.8506 | + | 81.8506i | 0.534971 | + | 0.534971i | ||||
\(154\) | 10.1485 | − | 130.742i | 0.0658992 | − | 0.848976i | ||||
\(155\) | − | 12.2554i | − | 0.0790671i | ||||||
\(156\) | −29.1023 | + | 16.8022i | −0.186553 | + | 0.107706i | ||||
\(157\) | −181.743 | + | 48.6979i | −1.15760 | + | 0.310178i | −0.786006 | − | 0.618218i | \(-0.787855\pi\) |
−0.371592 | + | 0.928396i | \(0.621188\pi\) | |||||||
\(158\) | 81.4141 | − | 21.8148i | 0.515279 | − | 0.138069i | ||||
\(159\) | −1.97357 | − | 3.41833i | −0.0124124 | − | 0.0214989i | ||||
\(160\) | 53.1686i | 0.332304i | ||||||||
\(161\) | 23.1325 | − | 65.5476i | 0.143680 | − | 0.407128i | ||||
\(162\) | − | 183.532i | − | 1.13291i | ||||||
\(163\) | −22.4087 | − | 38.8131i | −0.137477 | − | 0.238117i | 0.789064 | − | 0.614311i | \(-0.210566\pi\) |
−0.926541 | + | 0.376194i | \(0.877233\pi\) | |||||||
\(164\) | 43.8514 | + | 109.303i | 0.267386 | + | 0.666483i | ||||
\(165\) | 21.4964 | − | 37.2329i | 0.130281 | − | 0.225654i | ||||
\(166\) | 117.113 | + | 202.846i | 0.705503 | + | 1.22197i | ||||
\(167\) | −88.8802 | − | 88.8802i | −0.532217 | − | 0.532217i | 0.389015 | − | 0.921231i | \(-0.372815\pi\) |
−0.921231 | + | 0.389015i | \(0.872815\pi\) | |||||||
\(168\) | 51.1240 | − | 74.5572i | 0.304310 | − | 0.443793i | ||||
\(169\) | − | 161.831i | − | 0.957577i | ||||||
\(170\) | −10.7192 | + | 40.0045i | −0.0630539 | + | 0.235320i | ||||
\(171\) | 212.916 | − | 57.0506i | 1.24512 | − | 0.333629i | ||||
\(172\) | −4.35202 | − | 2.51264i | −0.0253024 | − | 0.0146084i | ||||
\(173\) | −9.10749 | − | 15.7746i | −0.0526444 | − | 0.0911829i | 0.838502 | − | 0.544898i | \(-0.183432\pi\) |
−0.891147 | + | 0.453715i | \(0.850098\pi\) | |||||||
\(174\) | 530.108i | 3.04660i | ||||||||
\(175\) | 158.987 | − | 29.6430i | 0.908498 | − | 0.169389i | ||||
\(176\) | −97.2139 | + | 97.2139i | −0.552352 | + | 0.552352i | ||||
\(177\) | −441.301 | − | 118.246i | −2.49323 | − | 0.668058i | ||||
\(178\) | 84.7908 | + | 316.443i | 0.476353 | + | 1.77777i | ||||
\(179\) | 185.798 | − | 49.7843i | 1.03798 | − | 0.278125i | 0.300701 | − | 0.953718i | \(-0.402779\pi\) |
0.737274 | + | 0.675594i | \(0.236113\pi\) | |||||||
\(180\) | −34.5609 | + | 19.9538i | −0.192005 | + | 0.110854i | ||||
\(181\) | −237.148 | + | 237.148i | −1.31021 | + | 1.31021i | −0.388948 | + | 0.921260i | \(0.627161\pi\) |
−0.921260 | + | 0.388948i | \(0.872839\pi\) | |||||||
\(182\) | 21.2011 | + | 44.3266i | 0.116490 | + | 0.243553i | ||||
\(183\) | 191.286 | + | 191.286i | 1.04528 | + | 1.04528i | ||||
\(184\) | −25.4191 | + | 14.6757i | −0.138147 | + | 0.0797593i | ||||
\(185\) | 32.1859 | − | 55.7476i | 0.173978 | − | 0.301338i | ||||
\(186\) | −98.4666 | + | 26.3841i | −0.529391 | + | 0.141850i | ||||
\(187\) | −71.0019 | + | 40.9930i | −0.379689 | + | 0.219214i | ||||
\(188\) | 112.510 | − | 112.510i | 0.598456 | − | 0.598456i | ||||
\(189\) | 33.2169 | + | 2.57836i | 0.175751 | + | 0.0136421i | ||||
\(190\) | 55.7669 | + | 55.7669i | 0.293510 | + | 0.293510i | ||||
\(191\) | −57.6586 | + | 215.185i | −0.301877 | + | 1.12662i | 0.633723 | + | 0.773560i | \(0.281526\pi\) |
−0.935600 | + | 0.353061i | \(0.885141\pi\) | |||||||
\(192\) | 102.415 | − | 27.4420i | 0.533412 | − | 0.142927i | ||||
\(193\) | −0.516936 | − | 1.92923i | −0.00267843 | − | 0.00999603i | 0.964574 | − | 0.263814i | \(-0.0849804\pi\) |
−0.967252 | + | 0.253818i | \(0.918314\pi\) | |||||||
\(194\) | 9.21138 | − | 34.3773i | 0.0474813 | − | 0.177203i | ||||
\(195\) | 16.1092i | 0.0826114i | ||||||||
\(196\) | 109.574 | + | 88.3427i | 0.559052 | + | 0.450728i | ||||
\(197\) | − | 25.3724i | − | 0.128794i | −0.997924 | − | 0.0643970i | \(-0.979488\pi\) | ||
0.997924 | − | 0.0643970i | \(-0.0205124\pi\) | |||||||
\(198\) | −182.570 | − | 48.9195i | −0.922071 | − | 0.247068i | ||||
\(199\) | −18.3123 | − | 68.3423i | −0.0920215 | − | 0.343429i | 0.904530 | − | 0.426411i | \(-0.140222\pi\) |
−0.996551 | + | 0.0829821i | \(0.973556\pi\) | |||||||
\(200\) | −59.1422 | − | 34.1458i | −0.295711 | − | 0.170729i | ||||
\(201\) | −112.991 | + | 65.2354i | −0.562145 | + | 0.324554i | ||||
\(202\) | 265.358 | + | 265.358i | 1.31366 | + | 1.31366i | ||||
\(203\) | 323.003 | + | 25.0721i | 1.59115 | + | 0.123508i | ||||
\(204\) | 143.988 | 0.705823 | ||||||||
\(205\) | 55.8883 | + | 7.99373i | 0.272626 | + | 0.0389938i | ||||
\(206\) | −11.1529 | − | 6.43913i | −0.0541403 | − | 0.0312579i | ||||
\(207\) | −86.7643 | − | 50.0934i | −0.419151 | − | 0.241997i | ||||
\(208\) | 13.3327 | − | 49.7583i | 0.0640995 | − | 0.239223i | ||||
\(209\) | 156.123i | 0.746999i | ||||||||
\(210\) | 47.6371 | + | 99.5980i | 0.226843 | + | 0.474276i | ||||
\(211\) | −222.867 | − | 222.867i | −1.05624 | − | 1.05624i | −0.998321 | − | 0.0579182i | \(-0.981554\pi\) |
−0.0579182 | − | 0.998321i | \(-0.518446\pi\) | |||||||
\(212\) | −2.50662 | − | 0.671646i | −0.0118237 | − | 0.00316814i | ||||
\(213\) | −95.1539 | + | 164.811i | −0.446732 | + | 0.773763i | ||||
\(214\) | 358.624 | + | 207.052i | 1.67581 | + | 0.967531i | ||||
\(215\) | −2.08626 | + | 1.20450i | −0.00970355 | + | 0.00560235i | ||||
\(216\) | −9.94792 | − | 9.94792i | −0.0460552 | − | 0.0460552i | ||||
\(217\) | 11.4191 | + | 61.2450i | 0.0526225 | + | 0.282235i | ||||
\(218\) | 23.0249 | − | 23.0249i | 0.105619 | − | 0.105619i | ||||
\(219\) | 19.4625 | − | 72.6350i | 0.0888699 | − | 0.331667i | ||||
\(220\) | −7.31565 | − | 27.3024i | −0.0332530 | − | 0.124102i | ||||
\(221\) | 15.3599 | − | 26.6041i | 0.0695017 | − | 0.120381i | ||||
\(222\) | −517.198 | − | 138.583i | −2.32972 | − | 0.624247i | ||||
\(223\) | − | 142.000i | − | 0.636771i | −0.947961 | − | 0.318385i | \(-0.896859\pi\) | ||
0.947961 | − | 0.318385i | \(-0.103141\pi\) | |||||||
\(224\) | −49.5403 | − | 265.704i | −0.221162 | − | 1.18618i | ||||
\(225\) | − | 233.103i | − | 1.03601i | ||||||
\(226\) | 136.002 | − | 78.5208i | 0.601779 | − | 0.347437i | ||||
\(227\) | 82.6955 | + | 308.624i | 0.364297 | + | 1.35958i | 0.868371 | + | 0.495915i | \(0.165167\pi\) |
−0.504073 | + | 0.863661i | \(0.668166\pi\) | |||||||
\(228\) | 137.095 | − | 237.456i | 0.601295 | − | 1.04147i | ||||
\(229\) | 329.405 | + | 88.2637i | 1.43845 | + | 0.385431i | 0.891990 | − | 0.452055i | \(-0.149309\pi\) |
0.546458 | + | 0.837486i | \(0.315976\pi\) | |||||||
\(230\) | − | 35.8458i | − | 0.155851i | ||||||
\(231\) | −72.7338 | + | 206.097i | −0.314865 | + | 0.892193i | ||||
\(232\) | −96.7341 | − | 96.7341i | −0.416957 | − | 0.416957i | ||||
\(233\) | −342.883 | − | 91.8752i | −1.47160 | − | 0.394314i | −0.568121 | − | 0.822945i | \(-0.692330\pi\) |
−0.903480 | + | 0.428630i | \(0.858996\pi\) | |||||||
\(234\) | 68.4082 | − | 18.3299i | 0.292343 | − | 0.0783330i | ||||
\(235\) | −19.7415 | − | 73.6762i | −0.0840063 | − | 0.313516i | ||||
\(236\) | −260.125 | + | 150.184i | −1.10223 | + | 0.636371i | ||||
\(237\) | −140.474 | −0.592716 | ||||||||
\(238\) | 16.2933 | − | 209.906i | 0.0684592 | − | 0.881956i | ||||
\(239\) | 32.3582 | − | 32.3582i | 0.135390 | − | 0.135390i | −0.636164 | − | 0.771554i | \(-0.719480\pi\) |
0.771554 | + | 0.636164i | \(0.219480\pi\) | |||||||
\(240\) | 29.9574 | − | 111.803i | 0.124822 | − | 0.465844i | ||||
\(241\) | 178.773 | − | 309.643i | 0.741795 | − | 1.28483i | −0.209883 | − | 0.977727i | \(-0.567308\pi\) |
0.951677 | − | 0.307100i | \(-0.0993585\pi\) | |||||||
\(242\) | −91.6675 | + | 158.773i | −0.378791 | + | 0.656086i | ||||
\(243\) | −90.2541 | + | 336.833i | −0.371416 | + | 1.38614i | ||||
\(244\) | 177.852 | 0.728901 | ||||||||
\(245\) | 62.9395 | − | 24.3153i | 0.256896 | − | 0.0992463i | ||||
\(246\) | −56.0931 | − | 466.247i | −0.228021 | − | 1.89531i | ||||
\(247\) | −29.2492 | − | 50.6612i | −0.118418 | − | 0.205106i | ||||
\(248\) | 13.1536 | − | 22.7827i | 0.0530388 | − | 0.0918659i | ||||
\(249\) | −101.035 | − | 377.068i | −0.405763 | − | 1.51433i | ||||
\(250\) | 150.384 | − | 86.8243i | 0.601536 | − | 0.347297i | ||||
\(251\) | 2.42083 | 0.00964474 | 0.00482237 | − | 0.999988i | \(-0.498465\pi\) | ||||
0.00482237 | + | 0.999988i | \(0.498465\pi\) | |||||||
\(252\) | 154.122 | − | 131.919i | 0.611596 | − | 0.523488i | ||||
\(253\) | 50.1762 | − | 50.1762i | 0.198325 | − | 0.198325i | ||||
\(254\) | 81.2777 | − | 46.9257i | 0.319991 | − | 0.184747i | ||||
\(255\) | 34.5123 | − | 59.7770i | 0.135342 | − | 0.234420i | ||||
\(256\) | −167.591 | + | 290.277i | −0.654654 | + | 1.13389i | ||||
\(257\) | −11.2815 | + | 42.1031i | −0.0438968 | + | 0.163825i | −0.984395 | − | 0.175974i | \(-0.943692\pi\) |
0.940498 | + | 0.339799i | \(0.110359\pi\) | |||||||
\(258\) | 14.1691 | + | 14.1691i | 0.0549188 | + | 0.0549188i | ||||
\(259\) | −108.902 | + | 308.582i | −0.420471 | + | 1.19144i | ||||
\(260\) | 7.48894 | + | 7.48894i | 0.0288036 | + | 0.0288036i | ||||
\(261\) | 120.857 | − | 451.045i | 0.463054 | − | 1.72814i | ||||
\(262\) | 114.677 | + | 66.2086i | 0.437697 | + | 0.252705i | ||||
\(263\) | −434.077 | + | 116.311i | −1.65048 | + | 0.442246i | −0.959748 | − | 0.280862i | \(-0.909380\pi\) |
−0.690735 | + | 0.723108i | \(0.742713\pi\) | |||||||
\(264\) | 79.9234 | − | 46.1438i | 0.302740 | − | 0.174787i | ||||
\(265\) | −0.879644 | + | 0.879644i | −0.00331941 | + | 0.00331941i | ||||
\(266\) | −330.650 | − | 226.727i | −1.24305 | − | 0.852359i | ||||
\(267\) | − | 545.998i | − | 2.04494i | ||||||
\(268\) | −22.2009 | + | 82.8549i | −0.0828392 | + | 0.309160i | ||||
\(269\) | 86.6551 | + | 50.0303i | 0.322138 | + | 0.185986i | 0.652345 | − | 0.757922i | \(-0.273785\pi\) |
−0.330207 | + | 0.943908i | \(0.607119\pi\) | |||||||
\(270\) | 16.5959 | − | 4.44685i | 0.0614662 | − | 0.0164698i | ||||
\(271\) | −63.3651 | + | 36.5838i | −0.233819 | + | 0.134996i | −0.612333 | − | 0.790600i | \(-0.709769\pi\) |
0.378513 | + | 0.925596i | \(0.376435\pi\) | |||||||
\(272\) | −156.076 | + | 156.076i | −0.573809 | + | 0.573809i | ||||
\(273\) | −15.0099 | − | 80.5040i | −0.0549814 | − | 0.294886i | ||||
\(274\) | 194.768 | − | 194.768i | 0.710831 | − | 0.710831i | ||||
\(275\) | 159.476 | + | 42.7313i | 0.579911 | + | 0.155387i | ||||
\(276\) | −120.377 | + | 32.2549i | −0.436148 | + | 0.116866i | ||||
\(277\) | 144.360 | − | 250.039i | 0.521155 | − | 0.902666i | −0.478543 | − | 0.878064i | \(-0.658835\pi\) |
0.999697 | − | 0.0246021i | \(-0.00783188\pi\) | |||||||
\(278\) | 239.848 | + | 415.429i | 0.862764 | + | 1.49435i | ||||
\(279\) | 89.7959 | 0.321849 | ||||||||
\(280\) | −26.8674 | − | 9.48182i | −0.0959551 | − | 0.0338636i | ||||
\(281\) | 165.126 | + | 165.126i | 0.587639 | + | 0.587639i | 0.936991 | − | 0.349353i | \(-0.113598\pi\) |
−0.349353 | + | 0.936991i | \(0.613598\pi\) | |||||||
\(282\) | −549.454 | + | 317.228i | −1.94842 | + | 1.12492i | ||||
\(283\) | −87.9204 | − | 50.7609i | −0.310673 | − | 0.179367i | 0.336555 | − | 0.941664i | \(-0.390738\pi\) |
−0.647228 | + | 0.762297i | \(0.724072\pi\) | |||||||
\(284\) | 32.3828 | + | 120.854i | 0.114024 | + | 0.425543i | ||||
\(285\) | −65.7205 | − | 113.831i | −0.230598 | − | 0.399408i | ||||
\(286\) | 50.1610i | 0.175388i | ||||||||
\(287\) | −286.744 | + | 12.1267i | −0.999107 | + | 0.0422532i | ||||
\(288\) | −389.569 | −1.35267 | ||||||||
\(289\) | 136.288 | − | 78.6862i | 0.471586 | − | 0.272270i | ||||
\(290\) | 161.379 | − | 43.2414i | 0.556480 | − | 0.149108i | ||||
\(291\) | −29.6577 | + | 51.3686i | −0.101916 | + | 0.176524i | ||||
\(292\) | −24.7191 | − | 42.8148i | −0.0846546 | − | 0.146626i | ||||
\(293\) | 128.345 | − | 128.345i | 0.438037 | − | 0.438037i | −0.453314 | − | 0.891351i | \(-0.649758\pi\) |
0.891351 | + | 0.453314i | \(0.149758\pi\) | |||||||
\(294\) | −330.862 | − | 453.343i | −1.12538 | − | 1.54198i | ||||
\(295\) | 143.989i | 0.488099i | ||||||||
\(296\) | 119.667 | − | 69.0897i | 0.404280 | − | 0.233411i | ||||
\(297\) | 29.4552 | + | 17.0060i | 0.0991757 | + | 0.0572591i | ||||
\(298\) | −130.663 | − | 487.640i | −0.438466 | − | 1.63638i | ||||
\(299\) | −6.88157 | + | 25.6824i | −0.0230153 | + | 0.0858942i | ||||
\(300\) | −205.032 | − | 205.032i | −0.683440 | − | 0.683440i | ||||
\(301\) | 9.30355 | − | 7.96327i | 0.0309088 | − | 0.0264560i | ||||
\(302\) | −101.846 | − | 101.846i | −0.337239 | − | 0.337239i | ||||
\(303\) | −312.721 | − | 541.648i | −1.03208 | − | 1.78762i | ||||
\(304\) | 108.786 | + | 405.996i | 0.357850 | + | 1.33551i | ||||
\(305\) | 42.6291 | − | 73.8358i | 0.139768 | − | 0.242085i | ||||
\(306\) | −293.115 | − | 78.5398i | −0.957891 | − | 0.256666i | ||||
\(307\) | 256.378 | 0.835107 | 0.417554 | − | 0.908652i | \(-0.362888\pi\) | ||||
0.417554 | + | 0.908652i | \(0.362888\pi\) | |||||||
\(308\) | 61.9984 | + | 129.624i | 0.201293 | + | 0.420858i | ||||
\(309\) | 15.1768 | + | 15.1768i | 0.0491160 | + | 0.0491160i | ||||
\(310\) | 16.0640 | + | 27.8237i | 0.0518194 | + | 0.0897539i | ||||
\(311\) | 145.821 | + | 544.211i | 0.468878 | + | 1.74988i | 0.643702 | + | 0.765276i | \(0.277398\pi\) |
−0.174824 | + | 0.984600i | \(0.555936\pi\) | |||||||
\(312\) | −17.2899 | + | 29.9470i | −0.0554163 | + | 0.0959838i | ||||
\(313\) | 339.355 | + | 90.9298i | 1.08420 | + | 0.290511i | 0.756315 | − | 0.654207i | \(-0.226998\pi\) |
0.327885 | + | 0.944718i | \(0.393664\pi\) | |||||||
\(314\) | 348.783 | − | 348.783i | 1.11077 | − | 1.11077i | ||||
\(315\) | −17.8253 | − | 95.6039i | −0.0565882 | − | 0.303504i | ||||
\(316\) | −65.3041 | + | 65.3041i | −0.206659 | + | 0.206659i | ||||
\(317\) | 311.565 | + | 83.4837i | 0.982856 | + | 0.263355i | 0.714247 | − | 0.699894i | \(-0.246769\pi\) |
0.268609 | + | 0.963249i | \(0.413436\pi\) | |||||||
\(318\) | 8.96129 | + | 5.17380i | 0.0281802 | + | 0.0162698i | ||||
\(319\) | 286.424 | + | 165.367i | 0.897879 | + | 0.518391i | ||||
\(320\) | −16.7082 | − | 28.9394i | −0.0522130 | − | 0.0904356i | ||||
\(321\) | −488.014 | − | 488.014i | −1.52029 | − | 1.52029i | ||||
\(322\) | 33.3997 | + | 179.135i | 0.103726 | + | 0.556321i | ||||
\(323\) | 250.654i | 0.776017i | ||||||||
\(324\) | 100.550 | + | 174.157i | 0.310339 | + | 0.537523i | ||||
\(325\) | −59.7548 | + | 16.0112i | −0.183861 | + | 0.0492654i | ||||
\(326\) | 101.750 | + | 58.7454i | 0.312117 | + | 0.180201i | ||||
\(327\) | −46.9984 | + | 27.1345i | −0.143726 | + | 0.0829802i | ||||
\(328\) | 95.3165 | + | 74.8447i | 0.290599 | + | 0.228185i | ||||
\(329\) | 167.304 | + | 349.794i | 0.508524 | + | 1.06320i | ||||
\(330\) | 112.707i | 0.341538i | ||||||||
\(331\) | −178.424 | − | 47.8085i | −0.539045 | − | 0.144437i | −0.0209830 | − | 0.999780i | \(-0.506680\pi\) |
−0.518062 | + | 0.855343i | \(0.673346\pi\) | |||||||
\(332\) | −222.263 | − | 128.324i | −0.669467 | − | 0.386517i | ||||
\(333\) | 408.465 | + | 235.828i | 1.22662 | + | 0.708191i | ||||
\(334\) | 318.288 | + | 85.2850i | 0.952958 | + | 0.255344i | ||||
\(335\) | 29.0762 | + | 29.0762i | 0.0867946 | + | 0.0867946i | ||||
\(336\) | −45.5357 | + | 586.634i | −0.135523 | + | 1.74593i | ||||
\(337\) | 125.196i | 0.371501i | 0.982597 | + | 0.185751i | \(0.0594717\pi\) | ||||
−0.982597 | + | 0.185751i | \(0.940528\pi\) | |||||||
\(338\) | 212.123 | + | 367.407i | 0.627582 | + | 1.08700i | ||||
\(339\) | −252.812 | + | 67.7407i | −0.745757 | + | 0.199825i | ||||
\(340\) | −11.7452 | − | 43.8337i | −0.0345447 | − | 0.128923i | ||||
\(341\) | −16.4610 | + | 61.4331i | −0.0482726 | + | 0.180156i | ||||
\(342\) | −408.607 | + | 408.607i | −1.19476 | + | 1.19476i | ||||
\(343\) | −291.877 | + | 180.158i | −0.850954 | + | 0.525241i | ||||
\(344\) | −5.17114 | −0.0150324 | ||||||||
\(345\) | −15.4623 | + | 57.7060i | −0.0448182 | + | 0.167264i | ||||
\(346\) | 41.3539 | + | 23.8757i | 0.119520 | + | 0.0690048i | ||||
\(347\) | −247.911 | + | 66.4274i | −0.714440 | + | 0.191434i | −0.597689 | − | 0.801728i | \(-0.703914\pi\) |
−0.116750 | + | 0.993161i | \(0.537248\pi\) | |||||||
\(348\) | −290.425 | − | 503.031i | −0.834556 | − | 1.44549i | ||||
\(349\) | 588.398 | 1.68595 | 0.842977 | − | 0.537949i | \(-0.180801\pi\) | ||||
0.842977 | + | 0.537949i | \(0.180801\pi\) | |||||||
\(350\) | −322.097 | + | 275.695i | −0.920276 | + | 0.787700i | ||||
\(351\) | −12.7441 | −0.0363080 | ||||||||
\(352\) | 71.4139 | − | 266.520i | 0.202880 | − | 0.757160i | ||||
\(353\) | −20.9838 | − | 12.1150i | −0.0594442 | − | 0.0343202i | 0.469983 | − | 0.882675i | \(-0.344260\pi\) |
−0.529428 | + | 0.848355i | \(0.677593\pi\) | |||||||
\(354\) | 1156.89 | − | 309.988i | 3.26805 | − | 0.875671i | ||||
\(355\) | 57.9348 | + | 15.5236i | 0.163197 | + | 0.0437284i | ||||
\(356\) | −253.827 | − | 253.827i | −0.712996 | − | 0.712996i | ||||
\(357\) | −116.773 | + | 330.886i | −0.327097 | + | 0.926852i | ||||
\(358\) | −356.564 | + | 356.564i | −0.995990 | + | 0.995990i | ||||
\(359\) | 219.000 | + | 379.320i | 0.610029 | + | 1.05660i | 0.991235 | + | 0.132111i | \(0.0421755\pi\) |
−0.381206 | + | 0.924490i | \(0.624491\pi\) | |||||||
\(360\) | −20.5329 | + | 35.5640i | −0.0570358 | + | 0.0987889i | ||||
\(361\) | 100.728 | + | 58.1551i | 0.279024 | + | 0.161094i | ||||
\(362\) | 227.555 | − | 849.247i | 0.628605 | − | 2.34599i | ||||
\(363\) | 216.057 | − | 216.057i | 0.595200 | − | 0.595200i | ||||
\(364\) | −44.4030 | − | 30.4472i | −0.121986 | − | 0.0836463i | ||||
\(365\) | −23.6996 | −0.0649305 | ||||||||
\(366\) | −685.012 | − | 183.548i | −1.87162 | − | 0.501498i | ||||
\(367\) | −294.581 | + | 510.229i | −0.802673 | + | 1.39027i | 0.115177 | + | 0.993345i | \(0.463256\pi\) |
−0.917851 | + | 0.396926i | \(0.870077\pi\) | |||||||
\(368\) | 95.5201 | − | 165.446i | 0.259566 | − | 0.449581i | ||||
\(369\) | −58.5704 | + | 409.496i | −0.158727 | + | 1.10975i | ||||
\(370\) | 168.753i | 0.456090i | ||||||||
\(371\) | 3.57631 | − | 5.21554i | 0.00963964 | − | 0.0140581i | ||||
\(372\) | 78.9824 | − | 78.9824i | 0.212318 | − | 0.212318i | ||||
\(373\) | −270.125 | − | 467.870i | −0.724195 | − | 1.25434i | −0.959305 | − | 0.282373i | \(-0.908878\pi\) |
0.235110 | − | 0.971969i | \(-0.424455\pi\) | |||||||
\(374\) | 107.465 | − | 186.134i | 0.287339 | − | 0.497685i | ||||
\(375\) | −279.546 | + | 74.9042i | −0.745457 | + | 0.199745i | ||||
\(376\) | 42.3767 | − | 158.152i | 0.112704 | − | 0.420617i | ||||
\(377\) | −123.924 | −0.328712 | ||||||||
\(378\) | −78.7926 | + | 37.6860i | −0.208446 | + | 0.0996984i | ||||
\(379\) | −309.771 | −0.817338 | −0.408669 | − | 0.912683i | \(-0.634007\pi\) | ||||
−0.408669 | + | 0.912683i | \(0.634007\pi\) | |||||||
\(380\) | −83.4709 | − | 22.3660i | −0.219660 | − | 0.0588578i | ||||
\(381\) | −151.086 | + | 40.4833i | −0.396551 | + | 0.106255i | ||||
\(382\) | −151.154 | − | 564.115i | −0.395692 | − | 1.47674i | ||||
\(383\) | −264.883 | − | 70.9753i | −0.691602 | − | 0.185314i | −0.104136 | − | 0.994563i | \(-0.533208\pi\) |
−0.587466 | + | 0.809249i | \(0.699874\pi\) | |||||||
\(384\) | 280.612 | − | 280.612i | 0.730761 | − | 0.730761i | ||||
\(385\) | 68.6743 | + | 5.33063i | 0.178375 | + | 0.0138458i | ||||
\(386\) | 3.70239 | + | 3.70239i | 0.00959169 | + | 0.00959169i | ||||
\(387\) | −8.82546 | − | 15.2861i | −0.0228048 | − | 0.0394991i | ||||
\(388\) | 10.0931 | + | 37.6679i | 0.0260131 | + | 0.0970823i | ||||
\(389\) | −230.477 | − | 133.066i | −0.592486 | − | 0.342072i | 0.173594 | − | 0.984817i | \(-0.444462\pi\) |
−0.766080 | + | 0.642745i | \(0.777795\pi\) | |||||||
\(390\) | −21.1155 | − | 36.5731i | −0.0541423 | − | 0.0937772i | ||||
\(391\) | 80.5575 | − | 80.5575i | 0.206029 | − | 0.206029i | ||||
\(392\) | 143.102 | + | 22.3503i | 0.365055 | + | 0.0570162i | ||||
\(393\) | −156.052 | − | 156.052i | −0.397078 | − | 0.397078i | ||||
\(394\) | 33.2574 | + | 57.6036i | 0.0844097 | + | 0.146202i | ||||
\(395\) | 11.4586 | + | 42.7639i | 0.0290090 | + | 0.108263i | ||||
\(396\) | 200.046 | − | 53.6021i | 0.505166 | − | 0.135359i | ||||
\(397\) | 7.69477 | − | 28.7173i | 0.0193823 | − | 0.0723357i | −0.955557 | − | 0.294805i | \(-0.904745\pi\) |
0.974940 | + | 0.222470i | \(0.0714118\pi\) | |||||||
\(398\) | 131.156 | + | 131.156i | 0.329537 | + | 0.329537i | ||||
\(399\) | 434.494 | + | 507.623i | 1.08896 | + | 1.27224i | ||||
\(400\) | 444.490 | 1.11123 | ||||||||
\(401\) | 647.605 | − | 373.895i | 1.61497 | − | 0.932406i | 0.626780 | − | 0.779196i | \(-0.284372\pi\) |
0.988194 | − | 0.153210i | \(-0.0489611\pi\) | |||||||
\(402\) | 171.017 | − | 296.211i | 0.425416 | − | 0.736843i | ||||
\(403\) | −6.16785 | − | 23.0187i | −0.0153048 | − | 0.0571184i | ||||
\(404\) | −397.184 | − | 106.425i | −0.983128 | − | 0.263428i | ||||
\(405\) | 96.4027 | 0.238031 | ||||||||
\(406\) | −766.183 | + | 366.460i | −1.88715 | + | 0.902612i | ||||
\(407\) | −236.217 | + | 236.217i | −0.580387 | + | 0.580387i | ||||
\(408\) | 128.316 | − | 74.0835i | 0.314501 | − | 0.181577i | ||||
\(409\) | −424.853 | − | 245.289i | −1.03876 | − | 0.599728i | −0.119278 | − | 0.992861i | \(-0.538058\pi\) |
−0.919482 | + | 0.393133i | \(0.871391\pi\) | |||||||
\(410\) | −137.362 | + | 55.1084i | −0.335030 | + | 0.134411i | ||||
\(411\) | −397.559 | + | 229.531i | −0.967297 | + | 0.558469i | ||||
\(412\) | 14.1110 | 0.0342499 | ||||||||
\(413\) | −134.163 | − | 719.570i | −0.324851 | − | 1.74230i | ||||
\(414\) | 262.644 | 0.634406 | ||||||||
\(415\) | −106.548 | + | 61.5155i | −0.256742 | + | 0.148230i | ||||
\(416\) | 26.7585 | + | 99.8640i | 0.0643232 | + | 0.240058i | ||||
\(417\) | −206.920 | − | 772.235i | −0.496210 | − | 1.85188i | ||||
\(418\) | −204.641 | − | 354.449i | −0.489572 | − | 0.847963i | ||||
\(419\) | 118.680 | 0.283247 | 0.141623 | − | 0.989921i | \(-0.454768\pi\) | ||||
0.141623 | + | 0.989921i | \(0.454768\pi\) | |||||||
\(420\) | −99.7697 | − | 68.4123i | −0.237547 | − | 0.162886i | ||||
\(421\) | −391.632 | + | 391.632i | −0.930241 | + | 0.930241i | −0.997721 | − | 0.0674794i | \(-0.978504\pi\) |
0.0674794 | + | 0.997721i | \(0.478504\pi\) | |||||||
\(422\) | 798.106 | + | 213.852i | 1.89125 | + | 0.506758i | ||||
\(423\) | 539.829 | − | 144.647i | 1.27619 | − | 0.341954i | ||||
\(424\) | −2.57937 | + | 0.691140i | −0.00608342 | + | 0.00163005i | ||||
\(425\) | 256.037 | + | 68.6048i | 0.602439 | + | 0.161423i | ||||
\(426\) | − | 498.900i | − | 1.17113i | ||||||
\(427\) | −144.237 | + | 408.706i | −0.337792 | + | 0.957158i | ||||
\(428\) | −453.741 | −1.06014 | ||||||||
\(429\) | 21.6372 | − | 80.7513i | 0.0504365 | − | 0.188231i | ||||
\(430\) | 3.15766 | − | 5.46922i | 0.00734339 | − | 0.0127191i | ||||
\(431\) | 121.231 | + | 69.9930i | 0.281279 | + | 0.162397i | 0.634002 | − | 0.773331i | \(-0.281411\pi\) |
−0.352723 | + | 0.935728i | \(0.614744\pi\) | |||||||
\(432\) | 88.4477 | + | 23.6995i | 0.204740 | + | 0.0548599i | ||||
\(433\) | − | 40.5223i | − | 0.0935851i | −0.998905 | − | 0.0467925i | \(-0.985100\pi\) | ||
0.998905 | − | 0.0467925i | \(-0.0149000\pi\) | |||||||
\(434\) | −106.203 | − | 124.078i | −0.244708 | − | 0.285894i | ||||
\(435\) | −278.447 | −0.640108 | ||||||||
\(436\) | −9.23442 | + | 34.4633i | −0.0211799 | + | 0.0790443i | ||||
\(437\) | −56.1492 | − | 209.552i | −0.128488 | − | 0.479524i | ||||
\(438\) | 51.0217 | + | 190.416i | 0.116488 | + | 0.434739i | ||||
\(439\) | −26.0996 | + | 97.4051i | −0.0594525 | + | 0.221880i | −0.989260 | − | 0.146167i | \(-0.953306\pi\) |
0.929808 | + | 0.368046i | \(0.119973\pi\) | |||||||
\(440\) | −20.5668 | − | 20.5668i | −0.0467428 | − | 0.0467428i | ||||
\(441\) | 178.160 | + | 461.161i | 0.403990 | + | 1.04572i | ||||
\(442\) | 80.5331i | 0.182202i | ||||||||
\(443\) | 269.880 | − | 155.815i | 0.609211 | − | 0.351728i | −0.163446 | − | 0.986552i | \(-0.552261\pi\) |
0.772656 | + | 0.634824i | \(0.218928\pi\) | |||||||
\(444\) | 566.705 | − | 151.848i | 1.27636 | − | 0.342000i | ||||
\(445\) | −166.216 | + | 44.5376i | −0.373520 | + | 0.100084i | ||||
\(446\) | 186.129 | + | 322.385i | 0.417330 | + | 0.722837i | ||||
\(447\) | 841.385i | 1.88229i | ||||||||
\(448\) | 110.462 | + | 129.053i | 0.246566 | + | 0.288066i | ||||
\(449\) | 192.321i | 0.428331i | 0.976797 | + | 0.214165i | \(0.0687031\pi\) | ||||
−0.976797 | + | 0.214165i | \(0.931297\pi\) | |||||||
\(450\) | 305.545 | + | 529.219i | 0.678988 | + | 1.17604i | ||||
\(451\) | −269.417 | − | 115.137i | −0.597376 | − | 0.255293i | ||||
\(452\) | −86.0368 | + | 149.020i | −0.190347 | + | 0.329691i | ||||
\(453\) | 120.024 | + | 207.888i | 0.264954 | + | 0.458914i | ||||
\(454\) | −592.280 | − | 592.280i | −1.30458 | − | 1.30458i | ||||
\(455\) | −23.2832 | + | 11.1362i | −0.0511719 | + | 0.0244752i | ||||
\(456\) | − | 282.149i | − | 0.618747i | ||||||
\(457\) | 101.221 | − | 377.762i | 0.221490 | − | 0.826612i | −0.762291 | − | 0.647235i | \(-0.775925\pi\) |
0.983780 | − | 0.179377i | \(-0.0574081\pi\) | |||||||
\(458\) | −863.548 | + | 231.387i | −1.88548 | + | 0.505212i | ||||
\(459\) | 47.2900 | + | 27.3029i | 0.103028 | + | 0.0594834i | ||||
\(460\) | 19.6385 | + | 34.0149i | 0.0426924 | + | 0.0739454i | ||||
\(461\) | − | 529.367i | − | 1.14830i | −0.818749 | − | 0.574151i | \(-0.805332\pi\) | ||
0.818749 | − | 0.574151i | \(-0.194668\pi\) | |||||||
\(462\) | −105.016 | − | 563.243i | −0.227308 | − | 1.21914i | ||||
\(463\) | −287.564 | + | 287.564i | −0.621088 | + | 0.621088i | −0.945810 | − | 0.324722i | \(-0.894729\pi\) |
0.324722 | + | 0.945810i | \(0.394729\pi\) | |||||||
\(464\) | 860.070 | + | 230.455i | 1.85360 | + | 0.496670i | ||||
\(465\) | −13.8586 | − | 51.7210i | −0.0298035 | − | 0.111228i | ||||
\(466\) | 898.882 | − | 240.855i | 1.92893 | − | 0.516856i | ||||
\(467\) | −143.101 | + | 82.6196i | −0.306427 | + | 0.176916i | −0.645326 | − | 0.763907i | \(-0.723279\pi\) |
0.338900 | + | 0.940823i | \(0.389945\pi\) | |||||||
\(468\) | −54.8718 | + | 54.8718i | −0.117247 | + | 0.117247i | ||||
\(469\) | −172.397 | − | 118.213i | −0.367584 | − | 0.252053i | ||||
\(470\) | 141.392 | + | 141.392i | 0.300834 | + | 0.300834i | ||||
\(471\) | −711.935 | + | 411.036i | −1.51154 | + | 0.872687i | ||||
\(472\) | −154.542 | + | 267.675i | −0.327420 | + | 0.567109i | ||||
\(473\) | 12.0757 | − | 3.23568i | 0.0255301 | − | 0.00684076i | ||||
\(474\) | 318.920 | − | 184.129i | 0.672828 | − | 0.388457i | ||||
\(475\) | 356.919 | − | 356.919i | 0.751409 | − | 0.751409i | ||||
\(476\) | 99.5379 | + | 208.110i | 0.209113 | + | 0.437207i | ||||
\(477\) | −6.44519 | − | 6.44519i | −0.0135119 | − | 0.0135119i | ||||
\(478\) | −31.0493 | + | 115.878i | −0.0649568 | + | 0.242422i | ||||
\(479\) | 767.938 | − | 205.768i | 1.60321 | − | 0.429579i | 0.657200 | − | 0.753716i | \(-0.271741\pi\) |
0.946010 | + | 0.324137i | \(0.105074\pi\) | |||||||
\(480\) | 60.1239 | + | 224.386i | 0.125258 | + | 0.467470i | ||||
\(481\) | 32.3968 | − | 120.906i | 0.0673529 | − | 0.251365i | ||||
\(482\) | 937.319i | 1.94465i | ||||||||
\(483\) | 23.5029 | − | 302.786i | 0.0486602 | − | 0.626887i | ||||
\(484\) | − | 200.884i | − | 0.415049i | ||||||
\(485\) | 18.0572 | + | 4.83841i | 0.0372313 | + | 0.00997610i | ||||
\(486\) | −236.605 | − | 883.022i | −0.486841 | − | 1.81692i | ||||
\(487\) | −547.427 | − | 316.057i | −1.12408 | − | 0.648988i | −0.181640 | − | 0.983365i | \(-0.558141\pi\) |
−0.942439 | + | 0.334377i | \(0.891474\pi\) | |||||||
\(488\) | 158.495 | − | 91.5070i | 0.324784 | − | 0.187514i | ||||
\(489\) | −138.461 | − | 138.461i | −0.283152 | − | 0.283152i | ||||
\(490\) | −111.021 | + | 137.703i | −0.226574 | + | 0.281026i | ||||
\(491\) | 172.010 | 0.350326 | 0.175163 | − | 0.984539i | \(-0.443955\pi\) | ||||
0.175163 | + | 0.984539i | \(0.443955\pi\) | |||||||
\(492\) | 308.666 | + | 411.700i | 0.627370 | + | 0.836790i | ||||
\(493\) | 459.850 | + | 265.495i | 0.932759 | + | 0.538529i | ||||
\(494\) | 132.810 | + | 76.6781i | 0.268847 | + | 0.155219i | ||||
\(495\) | 25.6957 | − | 95.8976i | 0.0519104 | − | 0.193732i | ||||
\(496\) | 171.226i | 0.345215i | ||||||||
\(497\) | −303.987 | − | 23.5961i | −0.611643 | − | 0.0474770i | ||||
\(498\) | 723.631 | + | 723.631i | 1.45307 | + | 1.45307i | ||||
\(499\) | 882.662 | + | 236.509i | 1.76886 | + | 0.473965i | 0.988482 | − | 0.151340i | \(-0.0483588\pi\) |
0.780380 | + | 0.625305i | \(0.215025\pi\) | |||||||
\(500\) | −95.1352 | + | 164.779i | −0.190270 | + | 0.329558i | ||||
\(501\) | −475.605 | − | 274.590i | −0.949311 | − | 0.548085i | ||||
\(502\) | −5.49606 | + | 3.17315i | −0.0109483 | + | 0.00632102i | ||||
\(503\) | −449.661 | − | 449.661i | −0.893957 | − | 0.893957i | 0.100936 | − | 0.994893i | \(-0.467816\pi\) |
−0.994893 | + | 0.100936i | \(0.967816\pi\) | |||||||
\(504\) | 69.4737 | − | 196.859i | 0.137845 | − | 0.390593i | ||||
\(505\) | −139.383 | + | 139.383i | −0.276007 | + | 0.276007i | ||||
\(506\) | −48.1466 | + | 179.686i | −0.0951514 | + | 0.355110i | ||||
\(507\) | −183.000 | − | 682.967i | −0.360948 | − | 1.34708i | ||||
\(508\) | −51.4175 | + | 89.0577i | −0.101215 | + | 0.175310i | ||||
\(509\) | −97.7145 | − | 26.1825i | −0.191973 | − | 0.0514391i | 0.161551 | − | 0.986864i | \(-0.448350\pi\) |
−0.353525 | + | 0.935425i | \(0.615017\pi\) | |||||||
\(510\) | 180.951i | 0.354805i | ||||||||
\(511\) | 118.436 | − | 22.0823i | 0.231773 | − | 0.0432140i | ||||
\(512\) | − | 515.378i | − | 1.00660i | ||||||
\(513\) | 90.0526 | − | 51.9919i | 0.175541 | − | 0.101349i | ||||
\(514\) | −29.5749 | − | 110.375i | −0.0575386 | − | 0.214737i | ||||
\(515\) | 3.38224 | − | 5.85822i | 0.00656747 | − | 0.0113752i | ||||
\(516\) | −21.2080 | − | 5.68267i | −0.0411008 | − | 0.0110129i | ||||
\(517\) | 395.835i | 0.765639i | ||||||||
\(518\) | −157.237 | − | 843.325i | −0.303547 | − | 1.62804i | ||||
\(519\) | −56.2742 | − | 56.2742i | −0.108428 | − | 0.108428i | ||||
\(520\) | 10.5270 | + | 2.82070i | 0.0202442 | + | 0.00542443i | ||||
\(521\) | 226.787 | − | 60.7674i | 0.435292 | − | 0.116636i | −0.0345173 | − | 0.999404i | \(-0.510989\pi\) |
0.469809 | + | 0.882768i | \(0.344323\pi\) | |||||||
\(522\) | 316.832 | + | 1182.43i | 0.606957 | + | 2.26520i | ||||
\(523\) | 11.8519 | − | 6.84270i | 0.0226614 | − | 0.0130836i | −0.488627 | − | 0.872493i | \(-0.662502\pi\) |
0.511288 | + | 0.859410i | \(0.329169\pi\) | |||||||
\(524\) | −145.092 | −0.276894 | ||||||||
\(525\) | 637.447 | − | 304.887i | 1.21418 | − | 0.580737i | ||||
\(526\) | 833.038 | − | 833.038i | 1.58372 | − | 1.58372i | ||||
\(527\) | −26.4279 | + | 98.6303i | −0.0501478 | + | 0.187154i | ||||
\(528\) | −300.337 | + | 520.199i | −0.568820 | + | 0.985226i | ||||
\(529\) | 215.198 | − | 372.734i | 0.406802 | − | 0.704601i | ||||
\(530\) | 0.844063 | − | 3.15009i | 0.00159257 | − | 0.00594356i | ||||
\(531\) | −1055.02 | −1.98685 | ||||||||
\(532\) | 437.976 | + | 33.9966i | 0.823264 | + | 0.0639034i | ||||
\(533\) | 108.995 | − | 13.1130i | 0.204494 | − | 0.0246022i | ||||
\(534\) | 715.678 | + | 1239.59i | 1.34022 | + | 2.32133i | ||||
\(535\) | −108.757 | + | 188.372i | −0.203284 | + | 0.352098i | ||||
\(536\) | 22.8453 | + | 85.2597i | 0.0426218 | + | 0.159067i | ||||
\(537\) | 727.818 | − | 420.206i | 1.35534 | − | 0.782506i | ||||
\(538\) | −262.313 | −0.487571 | ||||||||
\(539\) | −348.159 | + | 37.3486i | −0.645934 | + | 0.0692924i | ||||
\(540\) | −13.3119 | + | 13.3119i | −0.0246517 | + | 0.0246517i | ||||
\(541\) | 10.8549 | − | 6.26710i | 0.0200646 | − | 0.0115843i | −0.489934 | − | 0.871759i | \(-0.662979\pi\) |
0.509999 | + | 0.860175i | \(0.329646\pi\) | |||||||
\(542\) | 95.9060 | − | 166.114i | 0.176948 | − | 0.306484i | ||||
\(543\) | −732.655 | + | 1269.00i | −1.34927 | + | 2.33701i | ||||
\(544\) | 114.654 | − | 427.896i | 0.210762 | − | 0.786573i | ||||
\(545\) | 12.0942 | + | 12.0942i | 0.0221912 | + | 0.0221912i | ||||
\(546\) | 139.600 | + | 163.095i | 0.255677 | + | 0.298709i | ||||
\(547\) | −702.818 | − | 702.818i | −1.28486 | − | 1.28486i | −0.937868 | − | 0.346991i | \(-0.887203\pi\) |
−0.346991 | − | 0.937868i | \(-0.612797\pi\) | |||||||
\(548\) | −78.1139 | + | 291.525i | −0.142544 | + | 0.531980i | ||||
\(549\) | 540.999 | + | 312.346i | 0.985425 | + | 0.568936i | ||||
\(550\) | −418.072 | + | 112.022i | −0.760130 | + | 0.203676i | ||||
\(551\) | 875.676 | − | 505.572i | 1.58925 | − | 0.917553i | ||||
\(552\) | −90.6797 | + | 90.6797i | −0.164275 | + | 0.164275i | ||||
\(553\) | −97.1085 | − | 203.031i | −0.175603 | − | 0.367145i | ||||
\(554\) | 756.891i | 1.36623i | ||||||||
\(555\) | 72.7926 | − | 271.666i | 0.131158 | − | 0.489488i | ||||
\(556\) | −455.195 | − | 262.807i | −0.818695 | − | 0.472674i | ||||
\(557\) | 330.017 | − | 88.4279i | 0.592491 | − | 0.158757i | 0.0498995 | − | 0.998754i | \(-0.484110\pi\) |
0.542591 | + | 0.839997i | \(0.317443\pi\) | |||||||
\(558\) | −203.866 | + | 117.702i | −0.365350 | + | 0.210935i | ||||
\(559\) | −3.31233 | + | 3.31233i | −0.00592545 | + | 0.00592545i | ||||
\(560\) | 182.301 | − | 33.9899i | 0.325538 | − | 0.0606963i | ||||
\(561\) | −253.291 | + | 253.291i | −0.451499 | + | 0.451499i | ||||
\(562\) | −591.333 | − | 158.447i | −1.05219 | − | 0.281935i | ||||
\(563\) | 309.973 | − | 83.0569i | 0.550573 | − | 0.147526i | 0.0272012 | − | 0.999630i | \(-0.491341\pi\) |
0.523372 | + | 0.852104i | \(0.324674\pi\) | |||||||
\(564\) | 347.593 | − | 602.049i | 0.616300 | − | 1.06746i | ||||
\(565\) | 41.2442 | + | 71.4370i | 0.0729985 | + | 0.126437i | ||||
\(566\) | 266.143 | 0.470218 | ||||||||
\(567\) | −481.761 | + | 89.8241i | −0.849667 | + | 0.158420i | ||||
\(568\) | 91.0391 | + | 91.0391i | 0.160280 | + | 0.160280i | ||||
\(569\) | −969.450 | + | 559.712i | −1.70378 | + | 0.983677i | −0.761919 | + | 0.647672i | \(0.775743\pi\) |
−0.941860 | + | 0.336006i | \(0.890924\pi\) | |||||||
\(570\) | 298.413 | + | 172.289i | 0.523532 | + | 0.302261i | ||||
\(571\) | 149.256 | + | 557.033i | 0.261395 | + | 0.975539i | 0.964420 | + | 0.264374i | \(0.0851654\pi\) |
−0.703025 | + | 0.711165i | \(0.748168\pi\) | |||||||
\(572\) | −27.4813 | − | 47.5989i | −0.0480441 | − | 0.0832149i | ||||
\(573\) | 973.337i | 1.69867i | ||||||||
\(574\) | 635.105 | − | 403.387i | 1.10645 | − | 0.702764i | ||||
\(575\) | −229.420 | −0.398992 | ||||||||
\(576\) | 212.040 | − | 122.421i | 0.368125 | − | 0.212537i | ||||
\(577\) | −778.916 | + | 208.710i | −1.34994 | + | 0.361715i | −0.860113 | − | 0.510104i | \(-0.829607\pi\) |
−0.489828 | + | 0.871819i | \(0.662940\pi\) | |||||||
\(578\) | −206.279 | + | 357.286i | −0.356884 | + | 0.618141i | ||||
\(579\) | −4.36321 | − | 7.55731i | −0.00753578 | − | 0.0130523i | ||||
\(580\) | −129.446 | + | 129.446i | −0.223183 | + | 0.223183i | ||||
\(581\) | 475.144 | − | 406.694i | 0.817804 | − | 0.699989i | ||||
\(582\) | − | 155.498i | − | 0.267178i | ||||||
\(583\) | 5.59093 | − | 3.22792i | 0.00958993 | − | 0.00553675i | ||||
\(584\) | −44.0575 | − | 25.4366i | −0.0754409 | − | 0.0435558i | ||||
\(585\) | 9.62805 | + | 35.9324i | 0.0164582 | + | 0.0614229i | ||||
\(586\) | −123.153 | + | 459.614i | −0.210159 | + | 0.784325i | ||||
\(587\) | −266.998 | − | 266.998i | −0.454851 | − | 0.454851i | 0.442110 | − | 0.896961i | \(-0.354230\pi\) |
−0.896961 | + | 0.442110i | \(0.854230\pi\) | |||||||
\(588\) | 562.331 | + | 248.921i | 0.956346 | + | 0.423335i | ||||
\(589\) | 137.492 | + | 137.492i | 0.233433 | + | 0.233433i | ||||
\(590\) | −188.737 | − | 326.902i | −0.319893 | − | 0.554071i | ||||
\(591\) | −28.6915 | − | 107.078i | −0.0485474 | − | 0.181182i | ||||
\(592\) | −449.685 | + | 778.878i | −0.759604 | + | 1.31567i | ||||
\(593\) | 570.836 | + | 152.955i | 0.962625 | + | 0.257935i | 0.705711 | − | 0.708500i | \(-0.250628\pi\) |
0.256914 | + | 0.966434i | \(0.417294\pi\) | |||||||
\(594\) | −89.1636 | −0.150107 | ||||||||
\(595\) | 110.256 | + | 8.55828i | 0.185304 | + | 0.0143837i | ||||
\(596\) | 391.147 | + | 391.147i | 0.656288 | + | 0.656288i | ||||
\(597\) | −154.565 | − | 267.715i | −0.258903 | − | 0.448433i | ||||
\(598\) | −18.0403 | − | 67.3274i | −0.0301678 | − | 0.112588i | ||||
\(599\) | −427.955 | + | 741.240i | −0.714449 | + | 1.23746i | 0.248722 | + | 0.968575i | \(0.419989\pi\) |
−0.963172 | + | 0.268888i | \(0.913344\pi\) | |||||||
\(600\) | −288.208 | − | 77.2251i | −0.480347 | − | 0.128709i | ||||
\(601\) | 467.742 | − | 467.742i | 0.778274 | − | 0.778274i | −0.201264 | − | 0.979537i | \(-0.564505\pi\) |
0.979537 | + | 0.201264i | \(0.0645048\pi\) | |||||||
\(602\) | −10.6840 | + | 30.2740i | −0.0177476 | + | 0.0502890i | ||||
\(603\) | −213.043 | + | 213.043i | −0.353304 | + | 0.353304i | ||||
\(604\) | 152.442 | + | 40.8467i | 0.252387 | + | 0.0676269i | ||||
\(605\) | −83.3977 | − | 48.1497i | −0.137847 | − | 0.0795862i | ||||
\(606\) | 1419.95 | + | 819.811i | 2.34316 | + | 1.35282i | ||||
\(607\) | 352.014 | + | 609.707i | 0.579925 | + | 1.00446i | 0.995487 | + | 0.0948944i | \(0.0302514\pi\) |
−0.415563 | + | 0.909565i | \(0.636415\pi\) | |||||||
\(608\) | −596.494 | − | 596.494i | −0.981076 | − | 0.981076i | ||||
\(609\) | 1391.51 | − | 259.446i | 2.28491 | − | 0.426019i | ||||
\(610\) | 223.508i | 0.366407i | ||||||||
\(611\) | −74.1589 | − | 128.447i | −0.121373 | − | 0.210224i | ||||
\(612\) | 321.172 | − | 86.0577i | 0.524790 | − | 0.140617i | ||||
\(613\) | −976.559 | − | 563.817i | −1.59308 | − | 0.919766i | −0.992774 | − | 0.119997i | \(-0.961711\pi\) |
−0.600308 | − | 0.799769i | \(-0.704955\pi\) | |||||||
\(614\) | −582.060 | + | 336.053i | −0.947981 | + | 0.547317i | ||||
\(615\) | 244.903 | − | 29.4637i | 0.398216 | − | 0.0479085i | ||||
\(616\) | 121.944 | + | 83.6171i | 0.197961 | + | 0.135742i | ||||
\(617\) | 1137.22i | 1.84314i | 0.388216 | + | 0.921568i | \(0.373091\pi\) | ||||
−0.388216 | + | 0.921568i | \(0.626909\pi\) | |||||||
\(618\) | −54.3496 | − | 14.5629i | −0.0879444 | − | 0.0235646i | ||||
\(619\) | 777.315 | + | 448.783i | 1.25576 | + | 0.725013i | 0.972247 | − | 0.233956i | \(-0.0751672\pi\) |
0.283512 | + | 0.958969i | \(0.408501\pi\) | |||||||
\(620\) | −30.4870 | − | 17.6017i | −0.0491726 | − | 0.0283898i | ||||
\(621\) | −45.6516 | − | 12.2323i | −0.0735131 | − | 0.0196978i | ||||
\(622\) | −1044.40 | − | 1044.40i | −1.67909 | − | 1.67909i | ||||
\(623\) | 789.150 | − | 377.445i | 1.26669 | − | 0.605851i | ||||
\(624\) | − | 225.070i | − | 0.360689i | ||||||
\(625\) | −243.193 | − | 421.222i | −0.389108 | − | 0.673955i | ||||
\(626\) | −889.632 | + | 238.376i | −1.42114 | + | 0.380793i | ||||
\(627\) | 176.546 | + | 658.879i | 0.281573 | + | 1.05084i | ||||
\(628\) | −139.884 | + | 522.052i | −0.222744 | + | 0.831294i | ||||
\(629\) | −379.245 | + | 379.245i | −0.602933 | + | 0.602933i | ||||
\(630\) | 165.784 | + | 193.687i | 0.263149 | + | 0.307439i | ||||
\(631\) | 1102.72 | 1.74757 | 0.873787 | − | 0.486309i | \(-0.161657\pi\) | ||||
0.873787 | + | 0.486309i | \(0.161657\pi\) | |||||||
\(632\) | −24.5967 | + | 91.7963i | −0.0389189 | + | 0.145247i | ||||
\(633\) | −1192.58 | − | 688.534i | −1.88401 | − | 1.08773i | ||||
\(634\) | −816.781 | + | 218.856i | −1.28830 | + | 0.345199i | ||||
\(635\) | 24.6484 | + | 42.6923i | 0.0388164 | + | 0.0672319i | ||||
\(636\) | −11.3381 | −0.0178272 | ||||||||
\(637\) | 105.979 | − | 77.3462i | 0.166372 | − | 0.121423i | ||||
\(638\) | −867.031 | −1.35898 | ||||||||
\(639\) | −113.742 | + | 424.491i | −0.178000 | + | 0.664305i | ||||
\(640\) | −108.316 | − | 62.5361i | −0.169243 | − | 0.0977127i | ||||
\(641\) | 982.828 | − | 263.348i | 1.53327 | − | 0.410839i | 0.609187 | − | 0.793026i | \(-0.291496\pi\) |
0.924085 | + | 0.382187i | \(0.124829\pi\) | |||||||
\(642\) | 1747.62 | + | 468.274i | 2.72216 | + | 0.729399i | ||||
\(643\) | 193.588 | + | 193.588i | 0.301071 | + | 0.301071i | 0.841433 | − | 0.540362i | \(-0.181713\pi\) |
−0.540362 | + | 0.841433i | \(0.681713\pi\) | |||||||
\(644\) | −129.835 | − | 151.687i | −0.201607 | − | 0.235539i | ||||
\(645\) | −7.44250 | + | 7.44250i | −0.0115388 | + | 0.0115388i | ||||
\(646\) | −328.549 | − | 569.064i | −0.508590 | − | 0.880904i | ||||
\(647\) | 566.209 | − | 980.703i | 0.875130 | − | 1.51577i | 0.0185066 | − | 0.999829i | \(-0.494109\pi\) |
0.856624 | − | 0.515942i | \(-0.172558\pi\) | |||||||
\(648\) | 179.212 | + | 103.468i | 0.276562 | + | 0.159673i | ||||
\(649\) | 193.401 | − | 721.781i | 0.297998 | − | 1.11214i | ||||
\(650\) | 114.675 | − | 114.675i | 0.176424 | − | 0.176424i | ||||
\(651\) | 117.448 | + | 245.557i | 0.180412 | + | 0.377200i | ||||
\(652\) | −128.737 | −0.197450 | ||||||||
\(653\) | 195.416 | + | 52.3616i | 0.299259 | + | 0.0801863i | 0.405324 | − | 0.914173i | \(-0.367159\pi\) |
−0.106065 | + | 0.994359i | \(0.533825\pi\) | |||||||
\(654\) | 71.1343 | − | 123.208i | 0.108768 | − | 0.188392i | ||||
\(655\) | −34.7770 | + | 60.2356i | −0.0530947 | + | 0.0919627i | ||||
\(656\) | −780.843 | − | 111.684i | −1.19031 | − | 0.170251i | ||||
\(657\) | − | 173.648i | − | 0.264305i | ||||||
\(658\) | −838.334 | − | 574.847i | −1.27406 | − | 0.873628i | ||||
\(659\) | −927.089 | + | 927.089i | −1.40681 | + | 1.40681i | −0.631155 | + | 0.775657i | \(0.717419\pi\) |
−0.775657 | + | 0.631155i | \(0.782581\pi\) | |||||||
\(660\) | −61.7479 | − | 106.951i | −0.0935575 | − | 0.162046i | ||||
\(661\) | 216.131 | − | 374.350i | 0.326976 | − | 0.566339i | −0.654934 | − | 0.755686i | \(-0.727304\pi\) |
0.981910 | + | 0.189347i | \(0.0606370\pi\) | |||||||
\(662\) | 467.745 | − | 125.332i | 0.706564 | − | 0.189323i | ||||
\(663\) | 34.7384 | − | 129.645i | 0.0523958 | − | 0.195544i | ||||
\(664\) | −264.096 | −0.397735 | ||||||||
\(665\) | 119.092 | − | 173.679i | 0.179086 | − | 0.261171i | ||||
\(666\) | −1236.46 | −1.85655 | ||||||||
\(667\) | −443.919 | − | 118.948i | −0.665545 | − | 0.178332i | ||||
\(668\) | −348.755 | + | 93.4486i | −0.522088 | + | 0.139893i | ||||
\(669\) | −160.576 | − | 599.276i | −0.240023 | − | 0.895779i | ||||
\(670\) | −104.125 | − | 27.9001i | −0.155410 | − | 0.0416419i | ||||
\(671\) | −312.862 | + | 312.862i | −0.466262 | + | 0.466262i | ||||
\(672\) | −509.536 | − | 1065.32i | −0.758238 | − | 1.58530i | ||||
\(673\) | −823.957 | − | 823.957i | −1.22430 | − | 1.22430i | −0.966087 | − | 0.258218i | \(-0.916865\pi\) |
−0.258218 | − | 0.966087i | \(-0.583135\pi\) | |||||||
\(674\) | −164.103 | − | 284.235i | −0.243477 | − | 0.421714i | ||||
\(675\) | −28.4607 | − | 106.217i | −0.0421640 | − | 0.157358i | ||||
\(676\) | −402.576 | − | 232.427i | −0.595526 | − | 0.343827i | ||||
\(677\) | −11.0885 | − | 19.2059i | −0.0163789 | − | 0.0283691i | 0.857720 | − | 0.514117i | \(-0.171880\pi\) |
−0.874099 | + | 0.485748i | \(0.838547\pi\) | |||||||
\(678\) | 485.171 | − | 485.171i | 0.715592 | − | 0.715592i | ||||
\(679\) | −94.7469 | − | 7.35445i | −0.139539 | − | 0.0108313i | ||||
\(680\) | −33.0199 | − | 33.0199i | −0.0485586 | − | 0.0485586i | ||||
\(681\) | 697.993 | + | 1208.96i | 1.02495 | + | 1.77527i | ||||
\(682\) | −43.1531 | − | 161.049i | −0.0632743 | − | 0.236143i | ||||
\(683\) | −816.683 | + | 218.830i | −1.19573 | + | 0.320395i | −0.801148 | − | 0.598466i | \(-0.795777\pi\) |
−0.394581 | + | 0.918861i | \(0.629110\pi\) | |||||||
\(684\) | 163.876 | − | 611.595i | 0.239585 | − | 0.894145i | ||||
\(685\) | 102.305 | + | 102.305i | 0.149350 | + | 0.149350i | ||||
\(686\) | 426.509 | − | 791.599i | 0.621734 | − | 1.15394i | ||||
\(687\) | 1489.98 | 2.16883 | ||||||||
\(688\) | 29.1482 | − | 16.8287i | 0.0423666 | − | 0.0244604i | ||||
\(689\) | −1.20949 | + | 2.09490i | −0.00175543 | + | 0.00304049i | ||||
\(690\) | −40.5350 | − | 151.279i | −0.0587464 | − | 0.219245i | ||||
\(691\) | −146.483 | − | 39.2500i | −0.211987 | − | 0.0568018i | 0.151263 | − | 0.988494i | \(-0.451666\pi\) |
−0.363250 | + | 0.931692i | \(0.618333\pi\) | |||||||
\(692\) | −52.3221 | −0.0756100 | ||||||||
\(693\) | −39.0578 | + | 503.179i | −0.0563604 | + | 0.726088i | ||||
\(694\) | 475.765 | − | 475.765i | 0.685541 | − | 0.685541i | ||||
\(695\) | −218.210 | + | 125.984i | −0.313972 | + | 0.181272i | ||||
\(696\) | −517.632 | − | 298.855i | −0.743723 | − | 0.429389i | ||||
\(697\) | −432.546 | − | 184.852i | −0.620582 | − | 0.265211i | ||||
\(698\) | −1335.85 | + | 771.255i | −1.91383 | + | 1.10495i | ||||
\(699\) | −1550.95 | −2.21881 | ||||||||
\(700\) | 154.602 | − | 438.077i | 0.220861 | − | 0.625824i | ||||
\(701\) | 1148.58 | 1.63849 | 0.819244 | − | 0.573445i | \(-0.194393\pi\) | ||||
0.819244 | + | 0.573445i | \(0.194393\pi\) | |||||||
\(702\) | 28.9332 | − | 16.7046i | 0.0412154 | − | 0.0237957i | ||||
\(703\) | 264.337 | + | 986.518i | 0.376013 | + | 1.40330i | ||||
\(704\) | 44.8834 | + | 167.507i | 0.0637549 | + | 0.237937i | ||||
\(705\) | −166.628 | − | 288.609i | −0.236352 | − | 0.409374i | ||||
\(706\) | 63.5200 | 0.0899717 | ||||||||
\(707\) | 566.681 | − | 826.424i | 0.801529 | − | 1.16892i | ||||
\(708\) | −927.968 | + | 927.968i | −1.31069 | + | 1.31069i | ||||
\(709\) | 868.708 | + | 232.770i | 1.22526 | + | 0.328307i | 0.812732 | − | 0.582638i | \(-0.197980\pi\) |
0.412527 | + | 0.910945i | \(0.364646\pi\) | |||||||
\(710\) | −151.878 | + | 40.6957i | −0.213913 | + | 0.0573179i | ||||
\(711\) | −313.333 | + | 83.9574i | −0.440694 | + | 0.118084i | ||||
\(712\) | −356.797 | − | 95.6035i | −0.501120 | − | 0.134275i | ||||
\(713\) | − | 88.3772i | − | 0.123951i | ||||||
\(714\) | −168.603 | − | 904.281i | −0.236138 | − | 1.26650i | ||||
\(715\) | −26.3478 | −0.0368501 | ||||||||
\(716\) | 143.004 | − | 533.699i | 0.199727 | − | 0.745390i | ||||
\(717\) | 99.9689 | − | 173.151i | 0.139427 | − | 0.241494i | ||||
\(718\) | −994.402 | − | 574.118i | −1.38496 | − | 0.799608i | ||||
\(719\) | 1294.74 | + | 346.925i | 1.80075 | + | 0.482511i | 0.994096 | − | 0.108507i | \(-0.0346071\pi\) |
0.806658 | + | 0.591018i | \(0.201274\pi\) | |||||||
\(720\) | − | 267.286i | − | 0.371230i | ||||||
\(721\) | −11.4439 | + | 32.4272i | −0.0158723 | + | 0.0449753i | ||||
\(722\) | −304.912 | −0.422316 | ||||||||
\(723\) | 404.318 | − | 1508.93i | 0.559222 | − | 2.08705i | ||||
\(724\) | 249.337 | + | 930.538i | 0.344388 | + | 1.28527i | ||||
\(725\) | −276.754 | − | 1032.86i | −0.381729 | − | 1.42463i | ||||
\(726\) | −207.318 | + | 773.722i | −0.285562 | + | 1.06573i | ||||
\(727\) | 482.853 | + | 482.853i | 0.664171 | + | 0.664171i | 0.956361 | − | 0.292189i | \(-0.0943837\pi\) |
−0.292189 | + | 0.956361i | \(0.594384\pi\) | |||||||
\(728\) | −55.2357 | − | 4.28751i | −0.0758732 | − | 0.00588943i | ||||
\(729\) | 893.503i | 1.22566i | ||||||||
\(730\) | 53.8057 | − | 31.0648i | 0.0737065 | − | 0.0425545i | ||||
\(731\) | 19.3875 | − | 5.19486i | 0.0265218 | − | 0.00710651i | ||||
\(732\) | 750.582 | − | 201.118i | 1.02538 | − | 0.274751i | ||||
\(733\) | 217.674 | + | 377.022i | 0.296963 | + | 0.514355i | 0.975440 | − | 0.220267i | \(-0.0706929\pi\) |
−0.678477 | + | 0.734622i | \(0.737360\pi\) | |||||||
\(734\) | − | 1544.51i | − | 2.10424i | ||||||
\(735\) | 238.125 | − | 173.790i | 0.323980 | − | 0.236449i | ||||
\(736\) | 383.414i | 0.520943i | ||||||||
\(737\) | −106.697 | − | 184.805i | −0.144773 | − | 0.250753i | ||||
\(738\) | −403.782 | − | 1006.46i | −0.547130 | − | 1.36377i | ||||
\(739\) | 331.794 | − | 574.684i | 0.448977 | − | 0.777651i | −0.549343 | − | 0.835597i | \(-0.685122\pi\) |
0.998320 | + | 0.0579460i | \(0.0184551\pi\) | |||||||
\(740\) | −92.4533 | − | 160.134i | −0.124937 | − | 0.216397i | ||||
\(741\) | −180.728 | − | 180.728i | −0.243897 | − | 0.243897i | ||||
\(742\) | −1.28299 | + | 16.5287i | −0.00172909 | + | 0.0222758i | ||||
\(743\) | − | 31.4583i | − | 0.0423396i | −0.999776 | − | 0.0211698i | \(-0.993261\pi\) | ||
0.999776 | − | 0.0211698i | \(-0.00673906\pi\) | |||||||
\(744\) | 29.7486 | − | 111.023i | 0.0399847 | − | 0.149225i | ||||
\(745\) | 256.140 | − | 68.6325i | 0.343812 | − | 0.0921241i | ||||
\(746\) | 1226.54 | + | 708.143i | 1.64415 | + | 0.949253i | ||||
\(747\) | −450.727 | − | 780.682i | −0.603383 | − | 1.04509i | ||||
\(748\) | 235.503i | 0.314843i | ||||||||
\(749\) | 367.982 | − | 1042.70i | 0.491298 | − | 1.39213i | ||||
\(750\) | 536.478 | − | 536.478i | 0.715304 | − | 0.715304i | ||||
\(751\) | −879.545 | − | 235.673i | −1.17117 | − | 0.313813i | −0.379749 | − | 0.925090i | \(-0.623989\pi\) |
−0.791417 | + | 0.611277i | \(0.790656\pi\) | |||||||
\(752\) | 275.818 | + | 1029.37i | 0.366779 | + | 1.36884i | ||||
\(753\) | 10.2165 | − | 2.73751i | 0.0135678 | − | 0.00363548i | ||||
\(754\) | 281.348 | − | 162.436i | 0.373141 | − | 0.215433i | ||||
\(755\) | 53.4962 | − | 53.4962i | 0.0708560 | − | 0.0708560i | ||||
\(756\) | 54.1214 | − | 78.9284i | 0.0715891 | − | 0.104403i | ||||
\(757\) | −162.067 | − | 162.067i | −0.214091 | − | 0.214091i | 0.591912 | − | 0.806003i | \(-0.298373\pi\) |
−0.806003 | + | 0.591912i | \(0.798373\pi\) | |||||||
\(758\) | 703.280 | − | 406.039i | 0.927810 | − | 0.535671i | ||||
\(759\) | 155.017 | − | 268.497i | 0.204238 | − | 0.353751i | ||||
\(760\) | −85.8936 | + | 23.0151i | −0.113018 | + | 0.0302831i | ||||
\(761\) | −491.357 | + | 283.685i | −0.645673 | + | 0.372779i | −0.786796 | − | 0.617213i | \(-0.788262\pi\) |
0.141124 | + | 0.989992i | \(0.454929\pi\) | |||||||
\(762\) | 289.949 | − | 289.949i | 0.380510 | − | 0.380510i | ||||
\(763\) | −71.7081 | − | 49.1704i | −0.0939818 | − | 0.0644435i | ||||
\(764\) | 452.490 | + | 452.490i | 0.592265 | + | 0.592265i | ||||
\(765\) | 41.2542 | − | 153.963i | 0.0539270 | − | 0.201258i | ||||
\(766\) | 694.403 | − | 186.065i | 0.906531 | − | 0.242904i | ||||
\(767\) | 72.4663 | + | 270.448i | 0.0944802 | + | 0.352605i | ||||
\(768\) | −379.030 | + | 1414.56i | −0.493528 | + | 1.84187i | ||||
\(769\) | 1046.38i | 1.36071i | 0.732884 | + | 0.680354i | \(0.238174\pi\) | ||||
−0.732884 | + | 0.680354i | \(0.761826\pi\) | |||||||
\(770\) | −162.900 | + | 77.9139i | −0.211558 | + | 0.101187i | ||||
\(771\) | 190.443i | 0.247008i | ||||||||
\(772\) | −5.54168 | − | 1.48489i | −0.00717834 | − | 0.00192343i | ||||
\(773\) | 117.203 | + | 437.407i | 0.151621 | + | 0.565856i | 0.999371 | + | 0.0354609i | \(0.0112899\pi\) |
−0.847750 | + | 0.530396i | \(0.822043\pi\) | |||||||
\(774\) | 40.0732 | + | 23.1363i | 0.0517742 | + | 0.0298919i | ||||
\(775\) | 178.077 | − | 102.813i | 0.229777 | − | 0.132662i | ||||
\(776\) | 28.3752 | + | 28.3752i | 0.0365660 | + | 0.0365660i | ||||
\(777\) | −110.646 | + | 1425.44i | −0.142401 | + | 1.83455i | ||||
\(778\) | 697.676 | 0.896756 | ||||||||
\(779\) | −716.687 | + | 537.325i | −0.920009 | + | 0.689763i | ||||
\(780\) | 40.0739 | + | 23.1367i | 0.0513768 | + | 0.0296624i | ||||
\(781\) | −269.561 | − | 155.631i | −0.345149 | − | 0.199272i | ||||
\(782\) | −77.2990 | + | 288.484i | −0.0988478 | + | 0.368905i | ||||
\(783\) | − | 220.281i | − | 0.281330i | ||||||
\(784\) | −879.360 | + | 339.722i | −1.12163 | + | 0.433319i | ||||
\(785\) | 183.203 | + | 183.203i | 0.233380 | + | 0.233380i | ||||
\(786\) | 558.835 | + | 149.739i | 0.710986 | + | 0.190508i | ||||
\(787\) | 579.829 | − | 1004.29i | 0.736759 | − | 1.27610i | −0.217189 | − | 0.976130i | \(-0.569689\pi\) |
0.953947 | − | 0.299974i | \(-0.0969780\pi\) | |||||||
\(788\) | −63.1174 | − | 36.4409i | −0.0800982 | − | 0.0462447i | ||||
\(789\) | −1700.39 | + | 981.723i | −2.15512 | + | 1.24426i | ||||
\(790\) | −82.0683 | − | 82.0683i | −0.103884 | − | 0.103884i | ||||
\(791\) | −272.675 | − | 318.569i | −0.344722 | − | 0.402742i | ||||
\(792\) | 150.694 | − | 150.694i | 0.190270 | − | 0.190270i | ||||
\(793\) | 42.9084 | − | 160.136i | 0.0541090 | − | 0.201937i | ||||
\(794\) | 20.1722 | + | 75.2835i | 0.0254057 | + | 0.0948155i | ||||
\(795\) | −2.71761 | + | 4.70705i | −0.00341838 | + | 0.00592081i | ||||
\(796\) | −196.312 | − | 52.6016i | −0.246623 | − | 0.0660824i | ||||
\(797\) | 133.090i | 0.166988i | 0.996508 | + | 0.0834941i | \(0.0266080\pi\) | ||||
−0.996508 | + | 0.0834941i | \(0.973392\pi\) | |||||||
\(798\) | −1651.82 | − | 582.945i | −2.06995 | − | 0.730508i | ||||
\(799\) | 635.510i | 0.795382i | ||||||||
\(800\) | −772.567 | + | 446.042i | −0.965709 | + | 0.557552i | ||||
\(801\) | −326.329 | − | 1217.88i | −0.407402 | − | 1.52044i | ||||
\(802\) | −980.180 | + | 1697.72i | −1.22217 | + | 2.11686i | ||||
\(803\) | 118.800 | + | 31.8323i | 0.147945 | + | 0.0396418i | ||||
\(804\) | 374.775i | 0.466138i | ||||||||
\(805\) | −94.0934 | + | 17.5437i | −0.116886 | + | 0.0217934i | ||||
\(806\) | 44.1752 | + | 44.1752i | 0.0548080 | + | 0.0548080i | ||||
\(807\) | 422.282 | + | 113.150i | 0.523274 | + | 0.140211i | ||||
\(808\) | −408.712 | + | 109.514i | −0.505831 | + | 0.135537i | ||||
\(809\) | −282.035 | − | 1052.57i | −0.348622 | − | 1.30108i | −0.888323 | − | 0.459219i | \(-0.848129\pi\) |
0.539701 | − | 0.841857i | \(-0.318537\pi\) | |||||||
\(810\) | −218.865 | + | 126.362i | −0.270204 | + | 0.156002i | ||||
\(811\) | −473.165 | −0.583434 | −0.291717 | − | 0.956505i | \(-0.594227\pi\) | ||||
−0.291717 | + | 0.956505i | \(0.594227\pi\) | |||||||
\(812\) | 526.279 | − | 767.504i | 0.648127 | − | 0.945202i | ||||
\(813\) | −226.048 | + | 226.048i | −0.278041 | + | 0.278041i | ||||
\(814\) | 226.662 | − | 845.916i | 0.278455 | − | 1.03921i | ||||
\(815\) | −30.8569 | + | 53.4457i | −0.0378612 | + | 0.0655775i | ||||
\(816\) | −482.188 | + | 835.175i | −0.590917 | + | 1.02350i | ||||
\(817\) | 9.89237 | − | 36.9188i | 0.0121082 | − | 0.0451883i | ||||
\(818\) | 1286.07 | 1.57221 | ||||||||
\(819\) | −81.5954 | − | 170.597i | −0.0996281 | − | 0.208299i | ||||
\(820\) | 100.154 | − | 127.549i | 0.122140 | − | 0.155548i | ||||
\(821\) | 168.879 | + | 292.506i | 0.205699 | + | 0.356280i | 0.950355 | − | 0.311168i | \(-0.100720\pi\) |
−0.744657 | + | 0.667448i | \(0.767387\pi\) | |||||||
\(822\) | 601.725 | − | 1042.22i | 0.732025 | − | 1.26790i | ||||
\(823\) | −8.95347 | − | 33.4148i | −0.0108791 | − | 0.0406012i | 0.960273 | − | 0.279062i | \(-0.0900237\pi\) |
−0.971152 | + | 0.238461i | \(0.923357\pi\) | |||||||
\(824\) | 12.5752 | − | 7.26027i | 0.0152611 | − | 0.00881100i | ||||
\(825\) | 721.350 | 0.874364 | ||||||||
\(826\) | 1247.79 | + | 1457.80i | 1.51064 | + | 1.76489i | ||||
\(827\) | −640.935 | + | 640.935i | −0.775012 | + | 0.775012i | −0.978978 | − | 0.203966i | \(-0.934617\pi\) |
0.203966 | + | 0.978978i | \(0.434617\pi\) | |||||||
\(828\) | −249.229 | + | 143.892i | −0.301001 | + | 0.173783i | ||||
\(829\) | 482.254 | − | 835.289i | 0.581730 | − | 1.00759i | −0.413544 | − | 0.910484i | \(-0.635709\pi\) |
0.995274 | − | 0.0971025i | \(-0.0309575\pi\) | |||||||
\(830\) | 161.265 | − | 279.320i | 0.194296 | − | 0.336530i | ||||
\(831\) | 326.489 | − | 1218.47i | 0.392887 | − | 1.46627i | ||||
\(832\) | −45.9466 | − | 45.9466i | −0.0552243 | − | 0.0552243i | ||||
\(833\) | −558.966 | + | 59.9629i | −0.671027 | + | 0.0719842i | ||||
\(834\) | 1482.00 | + | 1482.00i | 1.77697 | + | 1.77697i | ||||
\(835\) | −44.7972 | + | 167.185i | −0.0536493 | + | 0.200222i | ||||
\(836\) | 388.377 | + | 224.229i | 0.464566 | + | 0.268217i | ||||
\(837\) | 40.9168 | − | 10.9636i | 0.0488851 | − | 0.0130987i | ||||
\(838\) | −269.443 | + | 155.563i | −0.321531 | + | 0.185636i | ||||
\(839\) | −895.054 | + | 895.054i | −1.06681 | + | 1.06681i | −0.0692080 | + | 0.997602i | \(0.522047\pi\) |
−0.997602 | + | 0.0692080i | \(0.977953\pi\) | |||||||
\(840\) | −124.110 | − | 9.63365i | −0.147750 | − | 0.0114686i | ||||
\(841\) | − | 1301.03i | − | 1.54700i | ||||||
\(842\) | 375.790 | − | 1402.47i | 0.446307 | − | 1.66564i | ||||
\(843\) | 883.605 | + | 510.149i | 1.04817 | + | 0.605159i | ||||
\(844\) | −874.501 | + | 234.322i | −1.03614 | + | 0.277632i | ||||
\(845\) | −192.986 | + | 111.420i | −0.228386 | + | 0.131859i | ||||
\(846\) | −1035.99 | + | 1035.99i | −1.22457 | + | 1.22457i | ||||
\(847\) | 461.634 | + | 162.916i | 0.545023 | + | 0.192345i | ||||
\(848\) | 12.2900 | − | 12.2900i | 0.0144929 | − | 0.0144929i | ||||
\(849\) | −428.448 | − | 114.802i | −0.504651 | − | 0.135221i | ||||
\(850\) | −671.210 | + | 179.850i | −0.789659 | + | 0.211589i | ||||
\(851\) | 232.102 | − | 402.012i | 0.272740 | − | 0.472399i | ||||
\(852\) | 273.327 | + | 473.417i | 0.320807 | + | 0.555654i | ||||
\(853\) | 1053.07 | 1.23455 | 0.617277 | − | 0.786746i | \(-0.288236\pi\) | ||||
0.617277 | + | 0.786746i | \(0.288236\pi\) | |||||||
\(854\) | −208.256 | − | 1116.96i | −0.243859 | − | 1.30791i | ||||
\(855\) | −214.627 | − | 214.627i | −0.251025 | − | 0.251025i | ||||
\(856\) | −404.357 | + | 233.455i | −0.472379 | + | 0.272728i | ||||
\(857\) | 185.003 | + | 106.812i | 0.215873 | + | 0.124634i | 0.604038 | − | 0.796956i | \(-0.293558\pi\) |
−0.388165 | + | 0.921590i | \(0.626891\pi\) | |||||||
\(858\) | 56.7229 | + | 211.693i | 0.0661106 | + | 0.246728i | ||||
\(859\) | −538.522 | − | 932.748i | −0.626918 | − | 1.08585i | −0.988167 | − | 0.153384i | \(-0.950983\pi\) |
0.361249 | − | 0.932469i | \(-0.382350\pi\) | |||||||
\(860\) | 6.91982i | 0.00804631i | ||||||||
\(861\) | −1196.42 | + | 375.432i | −1.38957 | + | 0.436042i | ||||
\(862\) | −366.979 | −0.425730 | ||||||||
\(863\) | 406.780 | − | 234.854i | 0.471355 | − | 0.272137i | −0.245452 | − | 0.969409i | \(-0.578936\pi\) |
0.716807 | + | 0.697272i | \(0.245603\pi\) | |||||||
\(864\) | −177.513 | + | 47.5644i | −0.205455 | + | 0.0550514i | ||||
\(865\) | −12.5410 | + | 21.7217i | −0.0144983 | + | 0.0251118i | ||||
\(866\) | 53.1155 | + | 91.9987i | 0.0613343 | + | 0.106234i | ||||
\(867\) | 486.193 | − | 486.193i | 0.560777 | − | 0.560777i | ||||
\(868\) | 168.756 | + | 59.5559i | 0.194419 | + | 0.0686128i | ||||
\(869\) | − | 229.755i | − | 0.264390i | ||||||
\(870\) | 632.164 | − | 364.980i | 0.726625 | − | 0.419517i | ||||
\(871\) | 69.2457 | + | 39.9790i | 0.0795014 | + | 0.0459001i | ||||
\(872\) | 9.50244 | + | 35.4636i | 0.0108973 | + | 0.0406692i | ||||
\(873\) | −35.4512 | + | 132.306i | −0.0406085 | + | 0.151553i | ||||
\(874\) | 402.151 | + | 402.151i | 0.460127 | + | 0.460127i | ||||
\(875\) | −301.510 | − | 352.257i | −0.344583 | − | 0.402579i | ||||
\(876\) | −152.737 | − | 152.737i | −0.174357 | − | 0.174357i | ||||
\(877\) | −90.2595 | − | 156.334i | −0.102918 | − | 0.178260i | 0.809967 | − | 0.586475i | \(-0.199485\pi\) |
−0.912886 | + | 0.408215i | \(0.866151\pi\) | |||||||
\(878\) | −68.4212 | − | 255.352i | −0.0779285 | − | 0.290833i | ||||
\(879\) | 396.514 | − | 686.783i | 0.451097 | − | 0.781323i | ||||
\(880\) | 182.861 | + | 48.9975i | 0.207797 | + | 0.0556790i | ||||
\(881\) | −547.119 | −0.621020 | −0.310510 | − | 0.950570i | \(-0.600500\pi\) | ||||
−0.310510 | + | 0.950570i | \(0.600500\pi\) | |||||||
\(882\) | −1008.96 | − | 813.457i | −1.14394 | − | 0.922286i | ||||
\(883\) | −1059.75 | − | 1059.75i | −1.20017 | − | 1.20017i | −0.974114 | − | 0.226057i | \(-0.927416\pi\) |
−0.226057 | − | 0.974114i | \(-0.572584\pi\) | |||||||
\(884\) | −44.1209 | − | 76.4196i | −0.0499105 | − | 0.0864476i | ||||
\(885\) | 162.825 | + | 607.673i | 0.183984 | + | 0.686636i | ||||
\(886\) | −408.477 | + | 707.502i | −0.461035 | + | 0.798535i | ||||
\(887\) | −180.833 | − | 48.4541i | −0.203871 | − | 0.0546269i | 0.155439 | − | 0.987846i | \(-0.450321\pi\) |
−0.359309 | + | 0.933219i | \(0.616988\pi\) | |||||||
\(888\) | 426.898 | − | 426.898i | 0.480741 | − | 0.480741i | ||||
\(889\) | −162.957 | − | 190.383i | −0.183303 | − | 0.214155i | ||||
\(890\) | 318.986 | − | 318.986i | 0.358411 | − | 0.358411i | ||||
\(891\) | −483.241 | − | 129.484i | −0.542358 | − | 0.145324i | ||||
\(892\) | −353.244 | − | 203.946i | −0.396014 | − | 0.228639i | ||||
\(893\) | 1048.04 | + | 605.089i | 1.17362 | + | 0.677591i | ||||
\(894\) | −1102.86 | − | 1910.21i | −1.23363 | − | 2.13670i | ||||
\(895\) | −187.291 | − | 187.291i | −0.209263 | − | 0.209263i | ||||
\(896\) | 599.564 | + | 211.593i | 0.669156 | + | 0.236153i | ||||
\(897\) | 116.168i | 0.129507i | ||||||||
\(898\) | −252.088 | − | 436.629i | −0.280722 | − | 0.486224i | ||||
\(899\) | 397.877 | − | 106.611i | 0.442578 | − | 0.118588i | ||||
\(900\) | −579.876 | − | 334.792i | −0.644307 | − | 0.371991i | ||||
\(901\) | 8.97618 | − | 5.18240i | 0.00996247 | − | 0.00575183i | ||||
\(902\) | 762.581 | − | 91.7445i | 0.845433 | − | 0.101712i | ||||
\(903\) | 30.2584 | − | 44.1277i | 0.0335088 | − | 0.0488679i | ||||
\(904\) | 177.068i | 0.195872i | ||||||||
\(905\) | 446.079 | + | 119.527i | 0.492905 | + | 0.132074i | ||||
\(906\) | −544.988 | − | 314.649i | −0.601532 | − | 0.347294i | ||||
\(907\) | 798.516 | + | 461.023i | 0.880393 | + | 0.508295i | 0.870788 | − | 0.491659i | \(-0.163609\pi\) |
0.00960473 | + | 0.999954i | \(0.496943\pi\) | |||||||
\(908\) | 886.515 | + | 237.541i | 0.976338 | + | 0.261609i | ||||
\(909\) | −1021.27 | − | 1021.27i | −1.12351 | − | 1.12351i | ||||
\(910\) | 38.2633 | − | 55.8017i | 0.0420476 | − | 0.0613205i | ||||
\(911\) | 1019.61i | 1.11922i | 0.828756 | + | 0.559611i | \(0.189049\pi\) | ||||
−0.828756 | + | 0.559611i | \(0.810951\pi\) | |||||||
\(912\) | 918.213 | + | 1590.39i | 1.00681 | + | 1.74385i | ||||
\(913\) | 616.722 | − | 165.250i | 0.675490 | − | 0.180997i | ||||
\(914\) | 265.355 | + | 990.317i | 0.290322 | + | 1.08350i | ||||
\(915\) | 96.4114 | − | 359.812i | 0.105368 | − | 0.393238i | ||||
\(916\) | 692.672 | − | 692.672i | 0.756192 | − | 0.756192i | ||||
\(917\) | 117.669 | − | 333.424i | 0.128320 | − | 0.363603i | ||||
\(918\) | −143.151 | −0.155938 | ||||||||
\(919\) | −381.662 | + | 1424.38i | −0.415302 | + | 1.54993i | 0.368929 | + | 0.929457i | \(0.379724\pi\) |
−0.784231 | + | 0.620469i | \(0.786942\pi\) | |||||||
\(920\) | 35.0021 | + | 20.2085i | 0.0380458 | + | 0.0219658i | ||||
\(921\) | 1081.98 | − | 289.916i | 1.17479 | − | 0.314784i | ||||
\(922\) | 693.879 | + | 1201.83i | 0.752580 | + | 1.30351i | ||||
\(923\) | 116.629 | 0.126358 | ||||||||
\(924\) | 408.231 | + | 476.939i | 0.441808 | + | 0.516168i | ||||
\(925\) | 1080.05 | 1.16763 | ||||||||
\(926\) | 275.932 | − | 1029.79i | 0.297983 | − | 1.11209i | ||||
\(927\) | 42.9234 | + | 24.7819i | 0.0463036 | + | 0.0267334i | ||||
\(928\) | −1726.14 | + | 462.519i | −1.86007 | + | 0.498404i | ||||
\(929\) | −1496.71 | − | 401.044i | −1.61110 | − | 0.431694i | −0.662732 | − | 0.748857i | \(-0.730603\pi\) |
−0.948371 | + | 0.317163i | \(0.897270\pi\) | |||||||
\(930\) | 99.2579 | + | 99.2579i | 0.106729 | + | 0.106729i | ||||
\(931\) | −433.321 | + | 978.905i | −0.465436 | + | 1.05146i | ||||
\(932\) | −721.014 | + | 721.014i | −0.773620 | + | 0.773620i | ||||
\(933\) | 1230.81 | + | 2131.82i | 1.31919 | + | 2.28491i | ||||
\(934\) | 216.591 | − | 375.146i | 0.231896 | − | 0.401655i | ||||
\(935\) | 97.7698 | + | 56.4474i | 0.104567 | + | 0.0603715i | ||||
\(936\) | −20.6674 | + | 77.1318i | −0.0220806 | + | 0.0824058i | ||||
\(937\) | −168.298 | + | 168.298i | −0.179613 | + | 0.179613i | −0.791187 | − | 0.611574i | \(-0.790537\pi\) |
0.611574 | + | 0.791187i | \(0.290537\pi\) | |||||||
\(938\) | 546.347 | + | 42.4085i | 0.582459 | + | 0.0452116i | ||||
\(939\) | 1534.99 | 1.63471 | ||||||||
\(940\) | −211.633 | − | 56.7069i | −0.225142 | − | 0.0603265i | ||||
\(941\) | 87.6964 | − | 151.895i | 0.0931949 | − | 0.161418i | −0.815659 | − | 0.578533i | \(-0.803625\pi\) |
0.908854 | + | 0.417115i | \(0.136959\pi\) | |||||||
\(942\) | 1077.55 | − | 1866.37i | 1.14389 | − | 1.98128i | ||||
\(943\) | 403.026 | + | 57.6451i | 0.427388 | + | 0.0611295i | ||||
\(944\) | − | 2011.75i | − | 2.13109i | ||||||
\(945\) | −19.7951 | − | 41.3870i | −0.0209472 | − | 0.0437957i | ||||
\(946\) | −23.1745 | + | 23.1745i | −0.0244974 | + | 0.0244974i | ||||
\(947\) | −9.92472 | − | 17.1901i | −0.0104802 | − | 0.0181522i | 0.860738 | − | 0.509049i | \(-0.170003\pi\) |
−0.871218 | + | 0.490896i | \(0.836669\pi\) | |||||||
\(948\) | −201.754 | + | 349.448i | −0.212820 | + | 0.368616i | ||||
\(949\) | −44.5138 | + | 11.9274i | −0.0469060 | + | 0.0125684i | ||||
\(950\) | −342.482 | + | 1278.16i | −0.360507 | + | 1.34543i | ||||
\(951\) | 1409.29 | 1.48191 | ||||||||
\(952\) | 195.780 | + | 134.246i | 0.205651 | + | 0.141015i | ||||
\(953\) | −906.154 | −0.950844 | −0.475422 | − | 0.879758i | \(-0.657705\pi\) | ||||
−0.475422 | + | 0.879758i | \(0.657705\pi\) | |||||||
\(954\) | 23.0808 | + | 6.18449i | 0.0241937 | + | 0.00648269i | ||||
\(955\) | 296.310 | − | 79.3960i | 0.310272 | − | 0.0831371i | ||||
\(956\) | −34.0214 | − | 126.970i | −0.0355872 | − | 0.132813i | ||||
\(957\) | 1395.78 | + | 373.999i | 1.45850 | + | 0.390803i | ||||
\(958\) | −1473.75 | + | 1473.75i | −1.53836 | + | 1.53836i | ||||
\(959\) | −606.579 | − | 415.932i | −0.632512 | − | 0.433715i | ||||
\(960\) | −103.238 | − | 103.238i | −0.107540 | − | 0.107540i | ||||
\(961\) | −440.894 | − | 763.652i | −0.458787 | − | 0.794643i | ||||
\(962\) | 84.9294 | + | 316.961i | 0.0882842 | + | 0.329481i | ||||
\(963\) | −1380.21 | − | 796.866i | −1.43324 | − | 0.827483i | ||||
\(964\) | −513.520 | − | 889.443i | −0.532697 | − | 0.922658i | ||||
\(965\) | −1.94474 | + | 1.94474i | −0.00201527 | + | 0.00201527i | ||||
\(966\) | 343.524 | + | 718.229i | 0.355615 | + | 0.743509i | ||||
\(967\) | −250.645 | − | 250.645i | −0.259198 | − | 0.259198i | 0.565530 | − | 0.824728i | \(-0.308672\pi\) |
−0.824728 | + | 0.565530i | \(0.808672\pi\) | |||||||
\(968\) | −103.357 | − | 179.020i | −0.106774 | − | 0.184938i | ||||
\(969\) | 283.443 | + | 1057.82i | 0.292511 | + | 1.09167i | ||||
\(970\) | −47.3376 | + | 12.6841i | −0.0488017 | + | 0.0130764i | ||||
\(971\) | −143.866 | + | 536.916i | −0.148163 | + | 0.552952i | 0.851431 | + | 0.524466i | \(0.175735\pi\) |
−0.999594 | + | 0.0284856i | \(0.990932\pi\) | |||||||
\(972\) | 708.292 | + | 708.292i | 0.728696 | + | 0.728696i | ||||
\(973\) | 973.095 | − | 832.909i | 1.00010 | − | 0.856021i | ||||
\(974\) | 1657.11 | 1.70135 | ||||||||
\(975\) | −234.075 | + | 135.143i | −0.240077 | + | 0.138609i | ||||
\(976\) | −595.593 | + | 1031.60i | −0.610239 | + | 1.05696i | ||||
\(977\) | 267.816 | + | 999.502i | 0.274120 | + | 1.02303i | 0.956428 | + | 0.291967i | \(0.0943097\pi\) |
−0.682308 | + | 0.731065i | \(0.739024\pi\) | |||||||
\(978\) | 495.842 | + | 132.861i | 0.506996 | + | 0.135849i | ||||
\(979\) | 893.020 | 0.912176 | ||||||||
\(980\) | 29.9084 | − | 191.493i | 0.0305188 | − | 0.195401i | ||||
\(981\) | −88.6146 | + | 88.6146i | −0.0903309 | + | 0.0903309i | ||||
\(982\) | −390.518 | + | 225.466i | −0.397676 | + | 0.229598i | ||||
\(983\) | −383.319 | − | 221.310i | −0.389948 | − | 0.225137i | 0.292189 | − | 0.956360i | \(-0.405616\pi\) |
−0.682138 | + | 0.731224i | \(0.738950\pi\) | |||||||
\(984\) | 486.896 | + | 208.079i | 0.494813 | + | 0.211462i | ||||
\(985\) | −30.2571 | + | 17.4689i | −0.0307179 | + | 0.0177350i | ||||
\(986\) | −1392.01 | −1.41178 | ||||||||
\(987\) | 1101.62 | + | 1287.03i | 1.11613 | + | 1.30398i | ||||
\(988\) | −168.036 | −0.170076 | ||||||||
\(989\) | −15.0446 | + | 8.68602i | −0.0152120 | + | 0.00878263i | ||||
\(990\) | 67.3623 | + | 251.399i | 0.0680427 | + | 0.253939i | ||||
\(991\) | 215.949 | + | 805.931i | 0.217910 | + | 0.813250i | 0.985122 | + | 0.171857i | \(0.0549766\pi\) |
−0.767212 | + | 0.641393i | \(0.778357\pi\) | |||||||
\(992\) | −171.824 | − | 297.608i | −0.173210 | − | 0.300008i | ||||
\(993\) | −807.058 | −0.812747 | ||||||||
\(994\) | 721.077 | − | 344.886i | 0.725429 | − | 0.346968i | ||||
\(995\) | −68.8915 | + | 68.8915i | −0.0692377 | + | 0.0692377i | ||||
\(996\) | −1083.12 | − | 290.221i | −1.08747 | − | 0.291386i | ||||
\(997\) | 792.403 | − | 212.324i | 0.794787 | − | 0.212963i | 0.161493 | − | 0.986874i | \(-0.448369\pi\) |
0.633294 | + | 0.773911i | \(0.281702\pi\) | |||||||
\(998\) | −2313.94 | + | 620.017i | −2.31857 | + | 0.621260i | ||||
\(999\) | 214.917 | + | 57.5867i | 0.215132 | + | 0.0576444i |
(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 | 287.3.q.a.73.10 | ✓ | 216 | |
7.5 | odd | 6 | inner | 287.3.q.a.278.45 | yes | 216 | |
41.9 | even | 4 | inner | 287.3.q.a.255.45 | yes | 216 | |
287.173 | odd | 12 | inner | 287.3.q.a.173.10 | yes | 216 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.3.q.a.73.10 | ✓ | 216 | 1.1 | even | 1 | trivial | |
287.3.q.a.173.10 | yes | 216 | 287.173 | odd | 12 | inner | |
287.3.q.a.255.45 | yes | 216 | 41.9 | even | 4 | inner | |
287.3.q.a.278.45 | yes | 216 | 7.5 | odd | 6 | inner |