Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [361,2,Mod(68,361)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(361, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("361.68");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 361 = 19^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 361.c (of order \(3\), degree \(2\), not 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: | \(2.88259951297\) |
Analytic rank: | \(0\) |
Dimension: | \(6\) |
Relative dimension: | \(3\) over \(\Q(\zeta_{3})\) |
Coefficient field: | \(\Q(\zeta_{18})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{6} - x^{3} + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | no (minimal twist has level 19) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 292.3 | ||
Root | \(0.939693 - 0.342020i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 361.292 |
Dual form | 361.2.c.h.68.3 |
$q$-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 \(\left(\mathbb{Z}/361\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.439693 | + | 0.761570i | 0.310910 | + | 0.538511i | 0.978560 | − | 0.205964i | \(-0.0660330\pi\) |
−0.667650 | + | 0.744475i | \(0.732700\pi\) | |||||||
\(3\) | 0.266044 | + | 0.460802i | 0.153601 | + | 0.266044i | 0.932549 | − | 0.361044i | \(-0.117580\pi\) |
−0.778948 | + | 0.627089i | \(0.784246\pi\) | |||||||
\(4\) | 0.613341 | − | 1.06234i | 0.306670 | − | 0.531169i | ||||
\(5\) | 1.26604 | + | 2.19285i | 0.566192 | + | 0.980674i | 0.996938 | + | 0.0782003i | \(0.0249174\pi\) |
−0.430745 | + | 0.902473i | \(0.641749\pi\) | |||||||
\(6\) | −0.233956 | + | 0.405223i | −0.0955120 | + | 0.165432i | ||||
\(7\) | −1.87939 | −0.710341 | −0.355170 | − | 0.934802i | \(-0.615577\pi\) | ||||
−0.355170 | + | 0.934802i | \(0.615577\pi\) | |||||||
\(8\) | 2.83750 | 1.00321 | ||||||||
\(9\) | 1.35844 | − | 2.35289i | 0.452814 | − | 0.784296i | ||||
\(10\) | −1.11334 | + | 1.92836i | −0.352069 | + | 0.609802i | ||||
\(11\) | 3.41147 | 1.02860 | 0.514299 | − | 0.857611i | \(-0.328052\pi\) | ||||
0.514299 | + | 0.857611i | \(0.328052\pi\) | |||||||
\(12\) | 0.652704 | 0.188419 | ||||||||
\(13\) | −2.64543 | + | 4.58202i | −0.733710 | + | 1.27082i | 0.221577 | + | 0.975143i | \(0.428880\pi\) |
−0.955287 | + | 0.295680i | \(0.904454\pi\) | |||||||
\(14\) | −0.826352 | − | 1.43128i | −0.220852 | − | 0.382527i | ||||
\(15\) | −0.673648 | + | 1.16679i | −0.173935 | + | 0.301265i | ||||
\(16\) | 0.0209445 | + | 0.0362770i | 0.00523613 | + | 0.00906925i | ||||
\(17\) | −0.826352 | − | 1.43128i | −0.200420 | − | 0.347137i | 0.748244 | − | 0.663424i | \(-0.230897\pi\) |
−0.948664 | + | 0.316286i | \(0.897564\pi\) | |||||||
\(18\) | 2.38919 | 0.563136 | ||||||||
\(19\) | 0 | 0 | ||||||||
\(20\) | 3.10607 | 0.694538 | ||||||||
\(21\) | −0.500000 | − | 0.866025i | −0.109109 | − | 0.188982i | ||||
\(22\) | 1.50000 | + | 2.59808i | 0.319801 | + | 0.553912i | ||||
\(23\) | −0.879385 | + | 1.52314i | −0.183364 | + | 0.317597i | −0.943024 | − | 0.332724i | \(-0.892032\pi\) |
0.759660 | + | 0.650321i | \(0.225366\pi\) | |||||||
\(24\) | 0.754900 | + | 1.30753i | 0.154093 | + | 0.266897i | ||||
\(25\) | −0.705737 | + | 1.22237i | −0.141147 | + | 0.244474i | ||||
\(26\) | −4.65270 | −0.912470 | ||||||||
\(27\) | 3.04189 | 0.585412 | ||||||||
\(28\) | −1.15270 | + | 1.99654i | −0.217841 | + | 0.377311i | ||||
\(29\) | −1.73396 | + | 3.00330i | −0.321987 | + | 0.557699i | −0.980898 | − | 0.194523i | \(-0.937684\pi\) |
0.658911 | + | 0.752221i | \(0.271018\pi\) | |||||||
\(30\) | −1.18479 | −0.216313 | ||||||||
\(31\) | −1.94356 | −0.349074 | −0.174537 | − | 0.984651i | \(-0.555843\pi\) | ||||
−0.174537 | + | 0.984651i | \(0.555843\pi\) | |||||||
\(32\) | 2.81908 | − | 4.88279i | 0.498347 | − | 0.863163i | ||||
\(33\) | 0.907604 | + | 1.57202i | 0.157994 | + | 0.273653i | ||||
\(34\) | 0.726682 | − | 1.25865i | 0.124625 | − | 0.215857i | ||||
\(35\) | −2.37939 | − | 4.12122i | −0.402190 | − | 0.696613i | ||||
\(36\) | −1.66637 | − | 2.88624i | −0.277729 | − | 0.481041i | ||||
\(37\) | 0.837496 | 0.137684 | 0.0688418 | − | 0.997628i | \(-0.478070\pi\) | ||||
0.0688418 | + | 0.997628i | \(0.478070\pi\) | |||||||
\(38\) | 0 | 0 | ||||||||
\(39\) | −2.81521 | −0.450794 | ||||||||
\(40\) | 3.59240 | + | 6.22221i | 0.568008 | + | 0.983818i | ||||
\(41\) | −2.24510 | − | 3.88863i | −0.350626 | − | 0.607302i | 0.635734 | − | 0.771909i | \(-0.280698\pi\) |
−0.986359 | + | 0.164607i | \(0.947364\pi\) | |||||||
\(42\) | 0.439693 | − | 0.761570i | 0.0678460 | − | 0.117513i | ||||
\(43\) | −2.40033 | − | 4.15749i | −0.366047 | − | 0.634012i | 0.622897 | − | 0.782304i | \(-0.285956\pi\) |
−0.988944 | + | 0.148292i | \(0.952622\pi\) | |||||||
\(44\) | 2.09240 | − | 3.62414i | 0.315441 | − | 0.546359i | ||||
\(45\) | 6.87939 | 1.02552 | ||||||||
\(46\) | −1.54664 | −0.228039 | ||||||||
\(47\) | −0.358441 | + | 0.620838i | −0.0522840 | + | 0.0905585i | −0.890983 | − | 0.454037i | \(-0.849983\pi\) |
0.838699 | + | 0.544595i | \(0.183317\pi\) | |||||||
\(48\) | −0.0111444 | + | 0.0193026i | −0.00160855 | + | 0.00278609i | ||||
\(49\) | −3.46791 | −0.495416 | ||||||||
\(50\) | −1.24123 | −0.175536 | ||||||||
\(51\) | 0.439693 | − | 0.761570i | 0.0615693 | − | 0.106641i | ||||
\(52\) | 3.24510 | + | 5.62068i | 0.450014 | + | 0.779448i | ||||
\(53\) | −3.05303 | + | 5.28801i | −0.419366 | + | 0.726364i | −0.995876 | − | 0.0907266i | \(-0.971081\pi\) |
0.576509 | + | 0.817090i | \(0.304414\pi\) | |||||||
\(54\) | 1.33750 | + | 2.31661i | 0.182010 | + | 0.315251i | ||||
\(55\) | 4.31908 | + | 7.48086i | 0.582384 | + | 1.00872i | ||||
\(56\) | −5.33275 | −0.712618 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −3.04963 | −0.400436 | ||||||||
\(59\) | −5.37939 | − | 9.31737i | −0.700336 | − | 1.21302i | −0.968348 | − | 0.249603i | \(-0.919700\pi\) |
0.268012 | − | 0.963416i | \(-0.413633\pi\) | |||||||
\(60\) | 0.826352 | + | 1.43128i | 0.106682 | + | 0.184778i | ||||
\(61\) | −2.19459 | + | 3.80115i | −0.280989 | + | 0.486687i | −0.971629 | − | 0.236512i | \(-0.923996\pi\) |
0.690640 | + | 0.723199i | \(0.257329\pi\) | |||||||
\(62\) | −0.854570 | − | 1.48016i | −0.108531 | − | 0.187980i | ||||
\(63\) | −2.55303 | + | 4.42198i | −0.321652 | + | 0.557118i | ||||
\(64\) | 5.04189 | 0.630236 | ||||||||
\(65\) | −13.3969 | −1.66168 | ||||||||
\(66\) | −0.798133 | + | 1.38241i | −0.0982434 | + | 0.170163i | ||||
\(67\) | 7.10607 | − | 12.3081i | 0.868144 | − | 1.50367i | 0.00425333 | − | 0.999991i | \(-0.498646\pi\) |
0.863891 | − | 0.503679i | \(-0.168021\pi\) | |||||||
\(68\) | −2.02734 | −0.245851 | ||||||||
\(69\) | −0.935822 | −0.112660 | ||||||||
\(70\) | 2.09240 | − | 3.62414i | 0.250089 | − | 0.433167i | ||||
\(71\) | −6.87939 | − | 11.9154i | −0.816433 | − | 1.41410i | −0.908294 | − | 0.418331i | \(-0.862615\pi\) |
0.0918617 | − | 0.995772i | \(-0.470718\pi\) | |||||||
\(72\) | 3.85457 | − | 6.67631i | 0.454265 | − | 0.786811i | ||||
\(73\) | 3.75877 | + | 6.51038i | 0.439931 | + | 0.761983i | 0.997684 | − | 0.0680246i | \(-0.0216696\pi\) |
−0.557753 | + | 0.830007i | \(0.688336\pi\) | |||||||
\(74\) | 0.368241 | + | 0.637812i | 0.0428071 | + | 0.0741441i | ||||
\(75\) | −0.751030 | −0.0867214 | ||||||||
\(76\) | 0 | 0 | ||||||||
\(77\) | −6.41147 | −0.730655 | ||||||||
\(78\) | −1.23783 | − | 2.14398i | −0.140156 | − | 0.242758i | ||||
\(79\) | −3.48158 | − | 6.03028i | −0.391709 | − | 0.678459i | 0.600966 | − | 0.799274i | \(-0.294783\pi\) |
−0.992675 | + | 0.120815i | \(0.961449\pi\) | |||||||
\(80\) | −0.0530334 | + | 0.0918566i | −0.00592932 | + | 0.0102699i | ||||
\(81\) | −3.26604 | − | 5.65695i | −0.362894 | − | 0.628551i | ||||
\(82\) | 1.97431 | − | 3.41960i | 0.218026 | − | 0.377632i | ||||
\(83\) | 2.51249 | 0.275781 | 0.137891 | − | 0.990447i | \(-0.455968\pi\) | ||||
0.137891 | + | 0.990447i | \(0.455968\pi\) | |||||||
\(84\) | −1.22668 | −0.133842 | ||||||||
\(85\) | 2.09240 | − | 3.62414i | 0.226952 | − | 0.393093i | ||||
\(86\) | 2.11081 | − | 3.65604i | 0.227615 | − | 0.394241i | ||||
\(87\) | −1.84524 | −0.197830 | ||||||||
\(88\) | 9.68004 | 1.03190 | ||||||||
\(89\) | −1.14156 | + | 1.97724i | −0.121005 | + | 0.209587i | −0.920164 | − | 0.391533i | \(-0.871945\pi\) |
0.799159 | + | 0.601119i | \(0.205278\pi\) | |||||||
\(90\) | 3.02481 | + | 5.23913i | 0.318843 | + | 0.552253i | ||||
\(91\) | 4.97178 | − | 8.61138i | 0.521184 | − | 0.902718i | ||||
\(92\) | 1.07873 | + | 1.86841i | 0.112465 | + | 0.194795i | ||||
\(93\) | −0.517074 | − | 0.895599i | −0.0536181 | − | 0.0928693i | ||||
\(94\) | −0.630415 | −0.0650223 | ||||||||
\(95\) | 0 | 0 | ||||||||
\(96\) | 3.00000 | 0.306186 | ||||||||
\(97\) | −0.911474 | − | 1.57872i | −0.0925462 | − | 0.160295i | 0.816036 | − | 0.578002i | \(-0.196167\pi\) |
−0.908582 | + | 0.417707i | \(0.862834\pi\) | |||||||
\(98\) | −1.52481 | − | 2.64106i | −0.154030 | − | 0.266787i | ||||
\(99\) | 4.63429 | − | 8.02682i | 0.465763 | − | 0.806726i | ||||
\(100\) | 0.865715 | + | 1.49946i | 0.0865715 | + | 0.149946i | ||||
\(101\) | 3.96064 | − | 6.86002i | 0.394098 | − | 0.682598i | −0.598887 | − | 0.800833i | \(-0.704390\pi\) |
0.992986 | + | 0.118235i | \(0.0377237\pi\) | |||||||
\(102\) | 0.773318 | 0.0765699 | ||||||||
\(103\) | 0.0145479 | 0.00143345 | 0.000716725 | − | 1.00000i | \(-0.499772\pi\) | ||||
0.000716725 | 1.00000i | \(0.499772\pi\) | ||||||||
\(104\) | −7.50640 | + | 13.0015i | −0.736063 | + | 1.27490i | ||||
\(105\) | 1.26604 | − | 2.19285i | 0.123553 | − | 0.214001i | ||||
\(106\) | −5.36959 | −0.521540 | ||||||||
\(107\) | 3.55438 | 0.343615 | 0.171807 | − | 0.985131i | \(-0.445039\pi\) | ||||
0.171807 | + | 0.985131i | \(0.445039\pi\) | |||||||
\(108\) | 1.86571 | − | 3.23151i | 0.179528 | − | 0.310952i | ||||
\(109\) | 3.68479 | + | 6.38225i | 0.352939 | + | 0.611308i | 0.986763 | − | 0.162169i | \(-0.0518489\pi\) |
−0.633824 | + | 0.773477i | \(0.718516\pi\) | |||||||
\(110\) | −3.79813 | + | 6.57856i | −0.362138 | + | 0.627241i | ||||
\(111\) | 0.222811 | + | 0.385920i | 0.0211483 | + | 0.0366299i | ||||
\(112\) | −0.0393628 | − | 0.0681784i | −0.00371944 | − | 0.00644226i | ||||
\(113\) | −7.37733 | −0.694000 | −0.347000 | − | 0.937865i | \(-0.612800\pi\) | ||||
−0.347000 | + | 0.937865i | \(0.612800\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | −4.45336 | −0.415278 | ||||||||
\(116\) | 2.12701 | + | 3.68409i | 0.197488 | + | 0.342059i | ||||
\(117\) | 7.18732 | + | 12.4488i | 0.664468 | + | 1.15089i | ||||
\(118\) | 4.73055 | − | 8.19356i | 0.435483 | − | 0.754278i | ||||
\(119\) | 1.55303 | + | 2.68993i | 0.142366 | + | 0.246586i | ||||
\(120\) | −1.91147 | + | 3.31077i | −0.174493 | + | 0.302231i | ||||
\(121\) | 0.638156 | 0.0580142 | ||||||||
\(122\) | −3.85978 | −0.349449 | ||||||||
\(123\) | 1.19459 | − | 2.06910i | 0.107713 | − | 0.186564i | ||||
\(124\) | −1.19207 | + | 2.06472i | −0.107051 | + | 0.185417i | ||||
\(125\) | 9.08647 | 0.812718 | ||||||||
\(126\) | −4.49020 | −0.400019 | ||||||||
\(127\) | −0.0505072 | + | 0.0874810i | −0.00448179 | + | 0.00776269i | −0.868258 | − | 0.496114i | \(-0.834760\pi\) |
0.863776 | + | 0.503876i | \(0.168093\pi\) | |||||||
\(128\) | −3.42127 | − | 5.92582i | −0.302401 | − | 0.523774i | ||||
\(129\) | 1.27719 | − | 2.21216i | 0.112450 | − | 0.194769i | ||||
\(130\) | −5.89053 | − | 10.2027i | −0.516634 | − | 0.894836i | ||||
\(131\) | 1.51842 | + | 2.62998i | 0.132665 | + | 0.229782i | 0.924703 | − | 0.380689i | \(-0.124313\pi\) |
−0.792038 | + | 0.610472i | \(0.790980\pi\) | |||||||
\(132\) | 2.22668 | 0.193808 | ||||||||
\(133\) | 0 | 0 | ||||||||
\(134\) | 12.4979 | 1.07966 | ||||||||
\(135\) | 3.85117 | + | 6.67042i | 0.331456 | + | 0.574098i | ||||
\(136\) | −2.34477 | − | 4.06126i | −0.201062 | − | 0.348250i | ||||
\(137\) | −9.76991 | + | 16.9220i | −0.834700 | + | 1.44574i | 0.0595742 | + | 0.998224i | \(0.481026\pi\) |
−0.894274 | + | 0.447519i | \(0.852308\pi\) | |||||||
\(138\) | −0.411474 | − | 0.712694i | −0.0350270 | − | 0.0606686i | ||||
\(139\) | −7.69846 | + | 13.3341i | −0.652975 | + | 1.13099i | 0.329422 | + | 0.944183i | \(0.393146\pi\) |
−0.982397 | + | 0.186803i | \(0.940187\pi\) | |||||||
\(140\) | −5.83750 | −0.493358 | ||||||||
\(141\) | −0.381445 | −0.0321234 | ||||||||
\(142\) | 6.04963 | − | 10.4783i | 0.507674 | − | 0.879317i | ||||
\(143\) | −9.02481 | + | 15.6314i | −0.754693 | + | 1.30717i | ||||
\(144\) | 0.113808 | 0.00948397 | ||||||||
\(145\) | −8.78106 | −0.729227 | ||||||||
\(146\) | −3.30541 | + | 5.72513i | −0.273557 | + | 0.473815i | ||||
\(147\) | −0.922618 | − | 1.59802i | −0.0760963 | − | 0.131803i | ||||
\(148\) | 0.513671 | − | 0.889704i | 0.0422235 | − | 0.0731332i | ||||
\(149\) | 1.88326 | + | 3.26189i | 0.154282 | + | 0.267225i | 0.932797 | − | 0.360401i | \(-0.117360\pi\) |
−0.778515 | + | 0.627626i | \(0.784027\pi\) | |||||||
\(150\) | −0.330222 | − | 0.571962i | −0.0269625 | − | 0.0467005i | ||||
\(151\) | 14.5963 | 1.18783 | 0.593914 | − | 0.804529i | \(-0.297582\pi\) | ||||
0.593914 | + | 0.804529i | \(0.297582\pi\) | |||||||
\(152\) | 0 | 0 | ||||||||
\(153\) | −4.49020 | −0.363011 | ||||||||
\(154\) | −2.81908 | − | 4.88279i | −0.227168 | − | 0.393466i | ||||
\(155\) | −2.46064 | − | 4.26195i | −0.197643 | − | 0.342328i | ||||
\(156\) | −1.72668 | + | 2.99070i | −0.138245 | + | 0.239448i | ||||
\(157\) | 5.18732 | + | 8.98470i | 0.413993 | + | 0.717057i | 0.995322 | − | 0.0966115i | \(-0.0308004\pi\) |
−0.581329 | + | 0.813669i | \(0.697467\pi\) | |||||||
\(158\) | 3.06165 | − | 5.30294i | 0.243572 | − | 0.421879i | ||||
\(159\) | −3.24897 | −0.257660 | ||||||||
\(160\) | 14.2763 | 1.12864 | ||||||||
\(161\) | 1.65270 | − | 2.86257i | 0.130251 | − | 0.225602i | ||||
\(162\) | 2.87211 | − | 4.97464i | 0.225654 | − | 0.390845i | ||||
\(163\) | −2.02229 | −0.158398 | −0.0791989 | − | 0.996859i | \(-0.525236\pi\) | ||||
−0.0791989 | + | 0.996859i | \(0.525236\pi\) | |||||||
\(164\) | −5.50805 | −0.430106 | ||||||||
\(165\) | −2.29813 | + | 3.98048i | −0.178909 | + | 0.309880i | ||||
\(166\) | 1.10472 | + | 1.91344i | 0.0857431 | + | 0.148511i | ||||
\(167\) | −11.6284 | + | 20.1409i | −0.899829 | + | 1.55855i | −0.0721175 | + | 0.997396i | \(0.522976\pi\) |
−0.827712 | + | 0.561154i | \(0.810358\pi\) | |||||||
\(168\) | −1.41875 | − | 2.45734i | −0.109459 | − | 0.189588i | ||||
\(169\) | −7.49660 | − | 12.9845i | −0.576661 | − | 0.998807i | ||||
\(170\) | 3.68004 | 0.282247 | ||||||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −5.88888 | −0.449023 | ||||||||
\(173\) | 0.448311 | + | 0.776497i | 0.0340844 | + | 0.0590360i | 0.882564 | − | 0.470191i | \(-0.155815\pi\) |
−0.848480 | + | 0.529227i | \(0.822482\pi\) | |||||||
\(174\) | −0.811337 | − | 1.40528i | −0.0615073 | − | 0.106534i | ||||
\(175\) | 1.32635 | − | 2.29731i | 0.100263 | − | 0.173660i | ||||
\(176\) | 0.0714517 | + | 0.123758i | 0.00538588 | + | 0.00932861i | ||||
\(177\) | 2.86231 | − | 4.95767i | 0.215144 | − | 0.372641i | ||||
\(178\) | −2.00774 | −0.150487 | ||||||||
\(179\) | 21.3182 | 1.59340 | 0.796699 | − | 0.604377i | \(-0.206578\pi\) | ||||
0.796699 | + | 0.604377i | \(0.206578\pi\) | |||||||
\(180\) | 4.21941 | − | 7.30823i | 0.314496 | − | 0.544723i | ||||
\(181\) | −8.04963 | + | 13.9424i | −0.598324 | + | 1.03633i | 0.394744 | + | 0.918791i | \(0.370833\pi\) |
−0.993069 | + | 0.117537i | \(0.962500\pi\) | |||||||
\(182\) | 8.74422 | 0.648165 | ||||||||
\(183\) | −2.33544 | −0.172640 | ||||||||
\(184\) | −2.49525 | + | 4.32190i | −0.183952 | + | 0.318615i | ||||
\(185\) | 1.06031 | + | 1.83651i | 0.0779553 | + | 0.135023i | ||||
\(186\) | 0.454707 | − | 0.787576i | 0.0333408 | − | 0.0577479i | ||||
\(187\) | −2.81908 | − | 4.88279i | −0.206151 | − | 0.357065i | ||||
\(188\) | 0.439693 | + | 0.761570i | 0.0320679 | + | 0.0555432i | ||||
\(189\) | −5.71688 | −0.415842 | ||||||||
\(190\) | 0 | 0 | ||||||||
\(191\) | 18.9486 | 1.37107 | 0.685537 | − | 0.728038i | \(-0.259568\pi\) | ||||
0.685537 | + | 0.728038i | \(0.259568\pi\) | |||||||
\(192\) | 1.34137 | + | 2.32332i | 0.0968048 | + | 0.167671i | ||||
\(193\) | 6.45084 | + | 11.1732i | 0.464341 | + | 0.804263i | 0.999172 | − | 0.0406967i | \(-0.0129577\pi\) |
−0.534830 | + | 0.844960i | \(0.679624\pi\) | |||||||
\(194\) | 0.801537 | − | 1.38830i | 0.0575470 | − | 0.0996743i | ||||
\(195\) | −3.56418 | − | 6.17334i | −0.255236 | − | 0.442082i | ||||
\(196\) | −2.12701 | + | 3.68409i | −0.151929 | + | 0.263149i | ||||
\(197\) | −23.2003 | −1.65295 | −0.826476 | − | 0.562973i | \(-0.809658\pi\) | ||||
−0.826476 | + | 0.562973i | \(0.809658\pi\) | |||||||
\(198\) | 8.15064 | 0.579241 | ||||||||
\(199\) | −4.61081 | + | 7.98617i | −0.326852 | + | 0.566124i | −0.981885 | − | 0.189476i | \(-0.939321\pi\) |
0.655033 | + | 0.755600i | \(0.272655\pi\) | |||||||
\(200\) | −2.00253 | + | 3.46848i | −0.141600 | + | 0.245258i | ||||
\(201\) | 7.56212 | 0.533391 | ||||||||
\(202\) | 6.96585 | 0.490116 | ||||||||
\(203\) | 3.25877 | − | 5.64436i | 0.228721 | − | 0.396156i | ||||
\(204\) | −0.539363 | − | 0.934204i | −0.0377630 | − | 0.0654074i | ||||
\(205\) | 5.68479 | − | 9.84635i | 0.397043 | − | 0.687699i | ||||
\(206\) | 0.00639661 | + | 0.0110793i | 0.000445673 | + | 0.000771929i | ||||
\(207\) | 2.38919 | + | 4.13819i | 0.166060 | + | 0.287624i | ||||
\(208\) | −0.221629 | −0.0153672 | ||||||||
\(209\) | 0 | 0 | ||||||||
\(210\) | 2.22668 | 0.153656 | ||||||||
\(211\) | 7.31180 | + | 12.6644i | 0.503365 | + | 0.871854i | 0.999992 | + | 0.00389033i | \(0.00123833\pi\) |
−0.496627 | + | 0.867964i | \(0.665428\pi\) | |||||||
\(212\) | 3.74510 | + | 6.48670i | 0.257215 | + | 0.445509i | ||||
\(213\) | 3.66044 | − | 6.34008i | 0.250810 | − | 0.434415i | ||||
\(214\) | 1.56283 | + | 2.70691i | 0.106833 | + | 0.185040i | ||||
\(215\) | 6.07785 | − | 10.5271i | 0.414506 | − | 0.717945i | ||||
\(216\) | 8.63135 | 0.587289 | ||||||||
\(217\) | 3.65270 | 0.247962 | ||||||||
\(218\) | −3.24035 | + | 5.61245i | −0.219464 | + | 0.380123i | ||||
\(219\) | −2.00000 | + | 3.46410i | −0.135147 | + | 0.234082i | ||||
\(220\) | 10.5963 | 0.714400 | ||||||||
\(221\) | 8.74422 | 0.588200 | ||||||||
\(222\) | −0.195937 | + | 0.339373i | −0.0131504 | + | 0.0227772i | ||||
\(223\) | −1.50727 | − | 2.61068i | −0.100935 | − | 0.174824i | 0.811135 | − | 0.584858i | \(-0.198850\pi\) |
−0.912070 | + | 0.410035i | \(0.865517\pi\) | |||||||
\(224\) | −5.29813 | + | 9.17664i | −0.353996 | + | 0.613140i | ||||
\(225\) | 1.91740 | + | 3.32104i | 0.127827 | + | 0.221403i | ||||
\(226\) | −3.24376 | − | 5.61835i | −0.215771 | − | 0.373727i | ||||
\(227\) | 13.7219 | 0.910757 | 0.455378 | − | 0.890298i | \(-0.349504\pi\) | ||||
0.455378 | + | 0.890298i | \(0.349504\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 9.41416 | 0.622105 | 0.311053 | − | 0.950393i | \(-0.399318\pi\) | ||||
0.311053 | + | 0.950393i | \(0.399318\pi\) | |||||||
\(230\) | −1.95811 | − | 3.39155i | −0.129114 | − | 0.223632i | ||||
\(231\) | −1.70574 | − | 2.95442i | −0.112229 | − | 0.194387i | ||||
\(232\) | −4.92009 | + | 8.52185i | −0.323020 | + | 0.559487i | ||||
\(233\) | 12.0929 | + | 20.9455i | 0.792230 | + | 1.37218i | 0.924583 | + | 0.380980i | \(0.124413\pi\) |
−0.132354 | + | 0.991203i | \(0.542253\pi\) | |||||||
\(234\) | −6.32042 | + | 10.9473i | −0.413179 | + | 0.715647i | ||||
\(235\) | −1.81521 | −0.118411 | ||||||||
\(236\) | −13.1976 | −0.859090 | ||||||||
\(237\) | 1.85251 | − | 3.20864i | 0.120334 | − | 0.208424i | ||||
\(238\) | −1.36571 | + | 2.36549i | −0.0885261 | + | 0.153332i | ||||
\(239\) | −23.3259 | −1.50883 | −0.754415 | − | 0.656398i | \(-0.772079\pi\) | ||||
−0.754415 | + | 0.656398i | \(0.772079\pi\) | |||||||
\(240\) | −0.0564370 | −0.00364299 | ||||||||
\(241\) | 0.148833 | − | 0.257787i | 0.00958719 | − | 0.0166055i | −0.861192 | − | 0.508280i | \(-0.830282\pi\) |
0.870779 | + | 0.491674i | \(0.163615\pi\) | |||||||
\(242\) | 0.280592 | + | 0.486000i | 0.0180372 | + | 0.0312413i | ||||
\(243\) | 6.30066 | − | 10.9131i | 0.404187 | − | 0.700073i | ||||
\(244\) | 2.69207 | + | 4.66280i | 0.172342 | + | 0.298505i | ||||
\(245\) | −4.39053 | − | 7.60462i | −0.280501 | − | 0.485841i | ||||
\(246\) | 2.10101 | 0.133956 | ||||||||
\(247\) | 0 | 0 | ||||||||
\(248\) | −5.51485 | −0.350193 | ||||||||
\(249\) | 0.668434 | + | 1.15776i | 0.0423603 | + | 0.0733701i | ||||
\(250\) | 3.99525 | + | 6.91998i | 0.252682 | + | 0.437658i | ||||
\(251\) | 8.09879 | − | 14.0275i | 0.511191 | − | 0.885409i | −0.488725 | − | 0.872438i | \(-0.662538\pi\) |
0.999916 | − | 0.0129711i | \(-0.00412896\pi\) | |||||||
\(252\) | 3.13176 | + | 5.42437i | 0.197282 | + | 0.341703i | ||||
\(253\) | −3.00000 | + | 5.19615i | −0.188608 | + | 0.326679i | ||||
\(254\) | −0.0888306 | −0.00557373 | ||||||||
\(255\) | 2.22668 | 0.139440 | ||||||||
\(256\) | 8.05051 | − | 13.9439i | 0.503157 | − | 0.871493i | ||||
\(257\) | 7.67752 | − | 13.2979i | 0.478910 | − | 0.829497i | −0.520797 | − | 0.853680i | \(-0.674365\pi\) |
0.999708 | + | 0.0241833i | \(0.00769852\pi\) | |||||||
\(258\) | 2.24628 | 0.139847 | ||||||||
\(259\) | −1.57398 | −0.0978022 | ||||||||
\(260\) | −8.21688 | + | 14.2321i | −0.509589 | + | 0.882635i | ||||
\(261\) | 4.71095 | + | 8.15961i | 0.291601 | + | 0.505067i | ||||
\(262\) | −1.33527 | + | 2.31276i | −0.0824935 | + | 0.142883i | ||||
\(263\) | −4.82160 | − | 8.35126i | −0.297313 | − | 0.514961i | 0.678207 | − | 0.734871i | \(-0.262757\pi\) |
−0.975520 | + | 0.219910i | \(0.929424\pi\) | |||||||
\(264\) | 2.57532 | + | 4.46059i | 0.158500 | + | 0.274530i | ||||
\(265\) | −15.4611 | −0.949768 | ||||||||
\(266\) | 0 | 0 | ||||||||
\(267\) | −1.21482 | −0.0743459 | ||||||||
\(268\) | −8.71688 | − | 15.0981i | −0.532468 | − | 0.922262i | ||||
\(269\) | −9.13950 | − | 15.8301i | −0.557245 | − | 0.965177i | −0.997725 | − | 0.0674144i | \(-0.978525\pi\) |
0.440480 | − | 0.897762i | \(-0.354808\pi\) | |||||||
\(270\) | −3.38666 | + | 5.86587i | −0.206106 | + | 0.356985i | ||||
\(271\) | −9.48205 | − | 16.4234i | −0.575993 | − | 0.997650i | −0.995933 | − | 0.0900978i | \(-0.971282\pi\) |
0.419939 | − | 0.907552i | \(-0.362051\pi\) | |||||||
\(272\) | 0.0346151 | − | 0.0599551i | 0.00209885 | − | 0.00363531i | ||||
\(273\) | 5.29086 | 0.320217 | ||||||||
\(274\) | −17.1830 | −1.03807 | ||||||||
\(275\) | −2.40760 | + | 4.17009i | −0.145184 | + | 0.251466i | ||||
\(276\) | −0.573978 | + | 0.994159i | −0.0345494 | + | 0.0598413i | ||||
\(277\) | 13.7638 | 0.826988 | 0.413494 | − | 0.910507i | \(-0.364308\pi\) | ||||
0.413494 | + | 0.910507i | \(0.364308\pi\) | |||||||
\(278\) | −13.5398 | −0.812065 | ||||||||
\(279\) | −2.64022 | + | 4.57299i | −0.158066 | + | 0.273778i | ||||
\(280\) | −6.75150 | − | 11.6939i | −0.403479 | − | 0.698846i | ||||
\(281\) | 6.55556 | − | 11.3546i | 0.391072 | − | 0.677356i | −0.601519 | − | 0.798858i | \(-0.705438\pi\) |
0.992591 | + | 0.121502i | \(0.0387710\pi\) | |||||||
\(282\) | −0.167718 | − | 0.290497i | −0.00998748 | − | 0.0172988i | ||||
\(283\) | 8.68866 | + | 15.0492i | 0.516487 | + | 0.894582i | 0.999817 | + | 0.0191438i | \(0.00609404\pi\) |
−0.483329 | + | 0.875439i | \(0.660573\pi\) | |||||||
\(284\) | −16.8776 | −1.00150 | ||||||||
\(285\) | 0 | 0 | ||||||||
\(286\) | −15.8726 | −0.938565 | ||||||||
\(287\) | 4.21941 | + | 7.30823i | 0.249064 | + | 0.431391i | ||||
\(288\) | −7.65910 | − | 13.2660i | −0.451317 | − | 0.781704i | ||||
\(289\) | 7.13429 | − | 12.3569i | 0.419664 | − | 0.726879i | ||||
\(290\) | −3.86097 | − | 6.68739i | −0.226724 | − | 0.392697i | ||||
\(291\) | 0.484985 | − | 0.840019i | 0.0284303 | − | 0.0492428i | ||||
\(292\) | 9.22163 | 0.539655 | ||||||||
\(293\) | −15.6040 | −0.911596 | −0.455798 | − | 0.890083i | \(-0.650646\pi\) | ||||
−0.455798 | + | 0.890083i | \(0.650646\pi\) | |||||||
\(294\) | 0.811337 | − | 1.40528i | 0.0473181 | − | 0.0819574i | ||||
\(295\) | 13.6211 | − | 23.5924i | 0.793050 | − | 1.37360i | ||||
\(296\) | 2.37639 | 0.138125 | ||||||||
\(297\) | 10.3773 | 0.602154 | ||||||||
\(298\) | −1.65611 | + | 2.86846i | −0.0959357 | + | 0.166166i | ||||
\(299\) | −4.65270 | − | 8.05872i | −0.269073 | − | 0.466048i | ||||
\(300\) | −0.460637 | + | 0.797847i | −0.0265949 | + | 0.0460637i | ||||
\(301\) | 4.51114 | + | 7.81353i | 0.260018 | + | 0.450364i | ||||
\(302\) | 6.41787 | + | 11.1161i | 0.369307 | + | 0.639658i | ||||
\(303\) | 4.21482 | 0.242135 | ||||||||
\(304\) | 0 | 0 | ||||||||
\(305\) | −11.1138 | −0.636375 | ||||||||
\(306\) | −1.97431 | − | 3.41960i | −0.112864 | − | 0.195486i | ||||
\(307\) | 10.7601 | + | 18.6371i | 0.614112 | + | 1.06367i | 0.990540 | + | 0.137227i | \(0.0438191\pi\) |
−0.376427 | + | 0.926446i | \(0.622848\pi\) | |||||||
\(308\) | −3.93242 | + | 6.81115i | −0.224070 | + | 0.388101i | ||||
\(309\) | 0.00387039 | + | 0.00670372i | 0.000220179 | + | 0.000381361i | ||||
\(310\) | 2.16385 | − | 3.74789i | 0.122898 | − | 0.212866i | ||||
\(311\) | 14.4953 | 0.821950 | 0.410975 | − | 0.911647i | \(-0.365188\pi\) | ||||
0.410975 | + | 0.911647i | \(0.365188\pi\) | |||||||
\(312\) | −7.98814 | −0.452239 | ||||||||
\(313\) | −9.75924 | + | 16.9035i | −0.551625 | + | 0.955442i | 0.446533 | + | 0.894767i | \(0.352659\pi\) |
−0.998158 | + | 0.0606748i | \(0.980675\pi\) | |||||||
\(314\) | −4.56165 | + | 7.90101i | −0.257429 | + | 0.445880i | ||||
\(315\) | −12.9290 | −0.728467 | ||||||||
\(316\) | −8.54158 | −0.480502 | ||||||||
\(317\) | 14.1736 | − | 24.5495i | 0.796071 | − | 1.37884i | −0.126085 | − | 0.992019i | \(-0.540241\pi\) |
0.922157 | − | 0.386817i | \(-0.126425\pi\) | |||||||
\(318\) | −1.42855 | − | 2.47432i | −0.0801090 | − | 0.138753i | ||||
\(319\) | −5.91534 | + | 10.2457i | −0.331196 | + | 0.573648i | ||||
\(320\) | 6.38326 | + | 11.0561i | 0.356835 | + | 0.618056i | ||||
\(321\) | 0.945622 | + | 1.63787i | 0.0527795 | + | 0.0914168i | ||||
\(322\) | 2.90673 | 0.161986 | ||||||||
\(323\) | 0 | 0 | ||||||||
\(324\) | −8.01279 | −0.445155 | ||||||||
\(325\) | −3.73396 | − | 6.46740i | −0.207123 | − | 0.358747i | ||||
\(326\) | −0.889185 | − | 1.54011i | −0.0492474 | − | 0.0852990i | ||||
\(327\) | −1.96064 | + | 3.39592i | −0.108423 | + | 0.187795i | ||||
\(328\) | −6.37046 | − | 11.0340i | −0.351750 | − | 0.609249i | ||||
\(329\) | 0.673648 | − | 1.16679i | 0.0371394 | − | 0.0643274i | ||||
\(330\) | −4.04189 | −0.222499 | ||||||||
\(331\) | 1.71007 | 0.0939942 | 0.0469971 | − | 0.998895i | \(-0.485035\pi\) | ||||
0.0469971 | + | 0.998895i | \(0.485035\pi\) | |||||||
\(332\) | 1.54101 | − | 2.66911i | 0.0845740 | − | 0.146486i | ||||
\(333\) | 1.13769 | − | 1.97053i | 0.0623450 | − | 0.107985i | ||||
\(334\) | −20.4516 | −1.11906 | ||||||||
\(335\) | 35.9864 | 1.96615 | ||||||||
\(336\) | 0.0209445 | − | 0.0362770i | 0.00114262 | − | 0.00197907i | ||||
\(337\) | 12.7194 | + | 22.0307i | 0.692870 | + | 1.20009i | 0.970893 | + | 0.239512i | \(0.0769875\pi\) |
−0.278023 | + | 0.960574i | \(0.589679\pi\) | |||||||
\(338\) | 6.59240 | − | 11.4184i | 0.358579 | − | 0.621077i | ||||
\(339\) | −1.96270 | − | 3.39949i | −0.106599 | − | 0.184635i | ||||
\(340\) | −2.56670 | − | 4.44566i | −0.139199 | − | 0.241100i | ||||
\(341\) | −6.63041 | −0.359057 | ||||||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 19.6732 | 1.06225 | ||||||||
\(344\) | −6.81093 | − | 11.7969i | −0.367221 | − | 0.636045i | ||||
\(345\) | −1.18479 | − | 2.05212i | −0.0637871 | − | 0.110482i | ||||
\(346\) | −0.394238 | + | 0.682840i | −0.0211944 | + | 0.0367097i | ||||
\(347\) | −3.85117 | − | 6.67042i | −0.206741 | − | 0.358087i | 0.743945 | − | 0.668241i | \(-0.232953\pi\) |
−0.950686 | + | 0.310154i | \(0.899619\pi\) | |||||||
\(348\) | −1.13176 | + | 1.96026i | −0.0606687 | + | 0.105081i | ||||
\(349\) | 22.7570 | 1.21816 | 0.609078 | − | 0.793111i | \(-0.291540\pi\) | ||||
0.609078 | + | 0.793111i | \(0.291540\pi\) | |||||||
\(350\) | 2.33275 | 0.124691 | ||||||||
\(351\) | −8.04710 | + | 13.9380i | −0.429523 | + | 0.743955i | ||||
\(352\) | 9.61721 | − | 16.6575i | 0.512599 | − | 0.887848i | ||||
\(353\) | −11.4456 | −0.609189 | −0.304595 | − | 0.952482i | \(-0.598521\pi\) | ||||
−0.304595 | + | 0.952482i | \(0.598521\pi\) | |||||||
\(354\) | 5.03415 | 0.267562 | ||||||||
\(355\) | 17.4192 | − | 30.1710i | 0.924516 | − | 1.60131i | ||||
\(356\) | 1.40033 | + | 2.42544i | 0.0742173 | + | 0.128548i | ||||
\(357\) | −0.826352 | + | 1.43128i | −0.0437352 | + | 0.0757515i | ||||
\(358\) | 9.37346 | + | 16.2353i | 0.495403 | + | 0.858062i | ||||
\(359\) | −5.19207 | − | 8.99292i | −0.274027 | − | 0.474628i | 0.695862 | − | 0.718175i | \(-0.255022\pi\) |
−0.969889 | + | 0.243547i | \(0.921689\pi\) | |||||||
\(360\) | 19.5202 | 1.02881 | ||||||||
\(361\) | 0 | 0 | ||||||||
\(362\) | −14.1575 | −0.744099 | ||||||||
\(363\) | 0.169778 | + | 0.294064i | 0.00891102 | + | 0.0154343i | ||||
\(364\) | −6.09879 | − | 10.5634i | −0.319664 | − | 0.553674i | ||||
\(365\) | −9.51754 | + | 16.4849i | −0.498171 | + | 0.862857i | ||||
\(366\) | −1.02687 | − | 1.77860i | −0.0536756 | − | 0.0929688i | ||||
\(367\) | 16.2665 | − | 28.1744i | 0.849105 | − | 1.47069i | −0.0329030 | − | 0.999459i | \(-0.510475\pi\) |
0.882008 | − | 0.471234i | \(-0.156191\pi\) | |||||||
\(368\) | −0.0736733 | −0.00384048 | ||||||||
\(369\) | −12.1993 | −0.635072 | ||||||||
\(370\) | −0.932419 | + | 1.61500i | −0.0484741 | + | 0.0839597i | ||||
\(371\) | 5.73783 | − | 9.93821i | 0.297893 | − | 0.515966i | ||||
\(372\) | −1.26857 | −0.0657723 | ||||||||
\(373\) | −30.4858 | −1.57849 | −0.789246 | − | 0.614077i | \(-0.789529\pi\) | ||||
−0.789246 | + | 0.614077i | \(0.789529\pi\) | |||||||
\(374\) | 2.47906 | − | 4.29385i | 0.128189 | − | 0.222030i | ||||
\(375\) | 2.41740 | + | 4.18707i | 0.124834 | + | 0.216219i | ||||
\(376\) | −1.01707 | + | 1.76162i | −0.0524516 | + | 0.0908488i | ||||
\(377\) | −9.17412 | − | 15.8900i | −0.472491 | − | 0.818378i | ||||
\(378\) | −2.51367 | − | 4.35381i | −0.129289 | − | 0.223936i | ||||
\(379\) | −17.8598 | −0.917396 | −0.458698 | − | 0.888592i | \(-0.651684\pi\) | ||||
−0.458698 | + | 0.888592i | \(0.651684\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | −0.0537486 | −0.00275363 | ||||||||
\(382\) | 8.33157 | + | 14.4307i | 0.426280 | + | 0.738339i | ||||
\(383\) | −11.7280 | − | 20.3135i | −0.599274 | − | 1.03797i | −0.992928 | − | 0.118715i | \(-0.962123\pi\) |
0.393654 | − | 0.919259i | \(-0.371211\pi\) | |||||||
\(384\) | 1.82042 | − | 3.15306i | 0.0928980 | − | 0.160904i | ||||
\(385\) | −8.11721 | − | 14.0594i | −0.413691 | − | 0.716535i | ||||
\(386\) | −5.67277 | + | 9.82553i | −0.288736 | + | 0.500106i | ||||
\(387\) | −13.0428 | −0.663004 | ||||||||
\(388\) | −2.23618 | −0.113525 | ||||||||
\(389\) | −1.95471 | + | 3.38565i | −0.0991076 | + | 0.171659i | −0.911316 | − | 0.411709i | \(-0.864932\pi\) |
0.812208 | + | 0.583368i | \(0.198265\pi\) | |||||||
\(390\) | 3.13429 | − | 5.42874i | 0.158711 | − | 0.274895i | ||||
\(391\) | 2.90673 | 0.146999 | ||||||||
\(392\) | −9.84018 | −0.497004 | ||||||||
\(393\) | −0.807934 | + | 1.39938i | −0.0407549 | + | 0.0705895i | ||||
\(394\) | −10.2010 | − | 17.6686i | −0.513918 | − | 0.890133i | ||||
\(395\) | 8.81567 | − | 15.2692i | 0.443565 | − | 0.768277i | ||||
\(396\) | −5.68479 | − | 9.84635i | −0.285672 | − | 0.494798i | ||||
\(397\) | −4.47952 | − | 7.75876i | −0.224821 | − | 0.389401i | 0.731445 | − | 0.681901i | \(-0.238846\pi\) |
−0.956266 | + | 0.292500i | \(0.905513\pi\) | |||||||
\(398\) | −8.10936 | −0.406486 | ||||||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −0.0591253 | −0.00295627 | ||||||||
\(401\) | −1.01367 | − | 1.75573i | −0.0506203 | − | 0.0876769i | 0.839605 | − | 0.543197i | \(-0.182786\pi\) |
−0.890225 | + | 0.455521i | \(0.849453\pi\) | |||||||
\(402\) | 3.32501 | + | 5.75908i | 0.165836 | + | 0.287237i | ||||
\(403\) | 5.14156 | − | 8.90544i | 0.256119 | − | 0.443612i | ||||
\(404\) | −4.85844 | − | 8.41507i | −0.241716 | − | 0.418665i | ||||
\(405\) | 8.26991 | − | 14.3239i | 0.410935 | − | 0.711761i | ||||
\(406\) | 5.73143 | 0.284446 | ||||||||
\(407\) | 2.85710 | 0.141621 | ||||||||
\(408\) | 1.24763 | − | 2.16095i | 0.0617667 | − | 0.106983i | ||||
\(409\) | −16.1040 | + | 27.8930i | −0.796292 | + | 1.37922i | 0.125724 | + | 0.992065i | \(0.459875\pi\) |
−0.922016 | + | 0.387153i | \(0.873459\pi\) | |||||||
\(410\) | 9.99825 | 0.493778 | ||||||||
\(411\) | −10.3969 | −0.512843 | ||||||||
\(412\) | 0.00892283 | − | 0.0154548i | 0.000439596 | − | 0.000761403i | ||||
\(413\) | 10.1099 | + | 17.5109i | 0.497477 | + | 0.861656i | ||||
\(414\) | −2.10101 | + | 3.63906i | −0.103259 | + | 0.178850i | ||||
\(415\) | 3.18092 | + | 5.50952i | 0.156145 | + | 0.270452i | ||||
\(416\) | 14.9153 | + | 25.8341i | 0.731285 | + | 1.26662i | ||||
\(417\) | −8.19253 | −0.401190 | ||||||||
\(418\) | 0 | 0 | ||||||||
\(419\) | −23.2499 | −1.13583 | −0.567916 | − | 0.823086i | \(-0.692250\pi\) | ||||
−0.567916 | + | 0.823086i | \(0.692250\pi\) | |||||||
\(420\) | −1.55303 | − | 2.68993i | −0.0757803 | − | 0.131255i | ||||
\(421\) | 3.22668 | + | 5.58878i | 0.157259 | + | 0.272380i | 0.933879 | − | 0.357589i | \(-0.116401\pi\) |
−0.776620 | + | 0.629969i | \(0.783068\pi\) | |||||||
\(422\) | −6.42989 | + | 11.1369i | −0.313002 | + | 0.542136i | ||||
\(423\) | 0.973841 | + | 1.68674i | 0.0473498 | + | 0.0820122i | ||||
\(424\) | −8.66297 | + | 15.0047i | −0.420711 | + | 0.728693i | ||||
\(425\) | 2.33275 | 0.113155 | ||||||||
\(426\) | 6.43788 | 0.311916 | ||||||||
\(427\) | 4.12449 | − | 7.14382i | 0.199598 | − | 0.345714i | ||||
\(428\) | 2.18004 | − | 3.77595i | 0.105376 | − | 0.182517i | ||||
\(429\) | −9.60401 | −0.463686 | ||||||||
\(430\) | 10.6895 | 0.515495 | ||||||||
\(431\) | −6.99866 | + | 12.1220i | −0.337113 | + | 0.583898i | −0.983888 | − | 0.178783i | \(-0.942784\pi\) |
0.646775 | + | 0.762681i | \(0.276117\pi\) | |||||||
\(432\) | 0.0637109 | + | 0.110351i | 0.00306529 | + | 0.00530925i | ||||
\(433\) | −14.3464 | + | 24.8487i | −0.689445 | + | 1.19415i | 0.282573 | + | 0.959246i | \(0.408812\pi\) |
−0.972018 | + | 0.234908i | \(0.924521\pi\) | |||||||
\(434\) | 1.60607 | + | 2.78179i | 0.0770937 | + | 0.133530i | ||||
\(435\) | −2.33615 | − | 4.04633i | −0.112010 | − | 0.194007i | ||||
\(436\) | 9.04013 | 0.432944 | ||||||||
\(437\) | 0 | 0 | ||||||||
\(438\) | −3.51754 | −0.168075 | ||||||||
\(439\) | −6.67112 | − | 11.5547i | −0.318395 | − | 0.551477i | 0.661758 | − | 0.749717i | \(-0.269811\pi\) |
−0.980153 | + | 0.198241i | \(0.936477\pi\) | |||||||
\(440\) | 12.2554 | + | 21.2269i | 0.584252 | + | 1.01195i | ||||
\(441\) | −4.71095 | + | 8.15961i | −0.224331 | + | 0.388553i | ||||
\(442\) | 3.84477 | + | 6.65934i | 0.182877 | + | 0.316752i | ||||
\(443\) | −16.9415 | + | 29.3435i | −0.804915 | + | 1.39415i | 0.111433 | + | 0.993772i | \(0.464456\pi\) |
−0.916348 | + | 0.400382i | \(0.868877\pi\) | |||||||
\(444\) | 0.546637 | 0.0259422 | ||||||||
\(445\) | −5.78106 | −0.274048 | ||||||||
\(446\) | 1.32547 | − | 2.29579i | 0.0627630 | − | 0.108709i | ||||
\(447\) | −1.00206 | + | 1.73562i | −0.0473958 | + | 0.0820919i | ||||
\(448\) | −9.47565 | −0.447682 | ||||||||
\(449\) | −18.8402 | −0.889123 | −0.444562 | − | 0.895748i | \(-0.646641\pi\) | ||||
−0.444562 | + | 0.895748i | \(0.646641\pi\) | |||||||
\(450\) | −1.68614 | + | 2.92047i | −0.0794852 | + | 0.137672i | ||||
\(451\) | −7.65910 | − | 13.2660i | −0.360653 | − | 0.624669i | ||||
\(452\) | −4.52481 | + | 7.83721i | −0.212829 | + | 0.368631i | ||||
\(453\) | 3.88326 | + | 6.72600i | 0.182451 | + | 0.316015i | ||||
\(454\) | 6.03343 | + | 10.4502i | 0.283163 | + | 0.490453i | ||||
\(455\) | 25.1780 | 1.18036 | ||||||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 14.2790 | 0.667943 | 0.333972 | − | 0.942583i | \(-0.391611\pi\) | ||||
0.333972 | + | 0.942583i | \(0.391611\pi\) | |||||||
\(458\) | 4.13934 | + | 7.16954i | 0.193419 | + | 0.335011i | ||||
\(459\) | −2.51367 | − | 4.35381i | −0.117328 | − | 0.203218i | ||||
\(460\) | −2.73143 | + | 4.73097i | −0.127354 | + | 0.220583i | ||||
\(461\) | 6.96404 | + | 12.0621i | 0.324348 | + | 0.561787i | 0.981380 | − | 0.192076i | \(-0.0615219\pi\) |
−0.657032 | + | 0.753862i | \(0.728189\pi\) | |||||||
\(462\) | 1.50000 | − | 2.59808i | 0.0697863 | − | 0.120873i | ||||
\(463\) | −1.76289 | −0.0819284 | −0.0409642 | − | 0.999161i | \(-0.513043\pi\) | ||||
−0.0409642 | + | 0.999161i | \(0.513043\pi\) | |||||||
\(464\) | −0.145268 | −0.00674388 | ||||||||
\(465\) | 1.30928 | − | 2.26774i | 0.0607163 | − | 0.105164i | ||||
\(466\) | −10.6343 | + | 18.4191i | −0.492624 | + | 0.853249i | ||||
\(467\) | 22.0419 | 1.01998 | 0.509988 | − | 0.860181i | \(-0.329650\pi\) | ||||
0.509988 | + | 0.860181i | \(0.329650\pi\) | |||||||
\(468\) | 17.6331 | 0.815090 | ||||||||
\(469\) | −13.3550 | + | 23.1316i | −0.616678 | + | 1.06812i | ||||
\(470\) | −0.798133 | − | 1.38241i | −0.0368151 | − | 0.0637657i | ||||
\(471\) | −2.76011 | + | 4.78066i | −0.127179 | + | 0.220281i | ||||
\(472\) | −15.2640 | − | 26.4380i | −0.702582 | − | 1.21691i | ||||
\(473\) | −8.18866 | − | 14.1832i | −0.376515 | − | 0.652143i | ||||
\(474\) | 3.25814 | 0.149651 | ||||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 3.81016 | 0.174638 | ||||||||
\(477\) | 8.29473 | + | 14.3669i | 0.379790 | + | 0.657815i | ||||
\(478\) | −10.2562 | − | 17.7643i | −0.469110 | − | 0.812522i | ||||
\(479\) | 12.7285 | − | 22.0464i | 0.581580 | − | 1.00733i | −0.413713 | − | 0.910407i | \(-0.635768\pi\) |
0.995292 | − | 0.0969180i | \(-0.0308985\pi\) | |||||||
\(480\) | 3.79813 | + | 6.57856i | 0.173360 | + | 0.300269i | ||||
\(481\) | −2.21554 | + | 3.83742i | −0.101020 | + | 0.174971i | ||||
\(482\) | 0.261764 | 0.0119230 | ||||||||
\(483\) | 1.75877 | 0.0800268 | ||||||||
\(484\) | 0.391407 | − | 0.677937i | 0.0177912 | − | 0.0308153i | ||||
\(485\) | 2.30793 | − | 3.99746i | 0.104798 | − | 0.181515i | ||||
\(486\) | 11.0814 | 0.502663 | ||||||||
\(487\) | 22.5107 | 1.02006 | 0.510029 | − | 0.860157i | \(-0.329635\pi\) | ||||
0.510029 | + | 0.860157i | \(0.329635\pi\) | |||||||
\(488\) | −6.22715 | + | 10.7857i | −0.281890 | + | 0.488247i | ||||
\(489\) | −0.538019 | − | 0.931876i | −0.0243300 | − | 0.0421409i | ||||
\(490\) | 3.86097 | − | 6.68739i | 0.174421 | − | 0.302106i | ||||
\(491\) | −7.81702 | − | 13.5395i | −0.352777 | − | 0.611028i | 0.633958 | − | 0.773368i | \(-0.281429\pi\) |
−0.986735 | + | 0.162340i | \(0.948096\pi\) | |||||||
\(492\) | −1.46538 | − | 2.53812i | −0.0660647 | − | 0.114427i | ||||
\(493\) | 5.73143 | 0.258131 | ||||||||
\(494\) | 0 | 0 | ||||||||
\(495\) | 23.4688 | 1.05485 | ||||||||
\(496\) | −0.0407070 | − | 0.0705066i | −0.00182780 | − | 0.00316584i | ||||
\(497\) | 12.9290 | + | 22.3937i | 0.579946 | + | 1.00450i | ||||
\(498\) | −0.587811 | + | 1.01812i | −0.0263404 | + | 0.0456230i | ||||
\(499\) | 14.3084 | + | 24.7829i | 0.640532 | + | 1.10943i | 0.985314 | + | 0.170751i | \(0.0546194\pi\) |
−0.344782 | + | 0.938683i | \(0.612047\pi\) | |||||||
\(500\) | 5.57310 | − | 9.65289i | 0.249237 | − | 0.431691i | ||||
\(501\) | −12.3746 | −0.552858 | ||||||||
\(502\) | 14.2439 | 0.635737 | ||||||||
\(503\) | 12.5228 | − | 21.6900i | 0.558362 | − | 0.967111i | −0.439271 | − | 0.898354i | \(-0.644763\pi\) |
0.997633 | − | 0.0687571i | \(-0.0219033\pi\) | |||||||
\(504\) | −7.24422 | + | 12.5474i | −0.322683 | + | 0.558904i | ||||
\(505\) | 20.0574 | 0.892541 | ||||||||
\(506\) | −5.27631 | −0.234561 | ||||||||
\(507\) | 3.98886 | − | 6.90890i | 0.177151 | − | 0.306835i | ||||
\(508\) | 0.0619563 | + | 0.107311i | 0.00274886 | + | 0.00476117i | ||||
\(509\) | 16.7606 | − | 29.0302i | 0.742900 | − | 1.28674i | −0.208270 | − | 0.978071i | \(-0.566783\pi\) |
0.951170 | − | 0.308669i | \(-0.0998834\pi\) | |||||||
\(510\) | 0.979055 | + | 1.69577i | 0.0433533 | + | 0.0750901i | ||||
\(511\) | −7.06418 | − | 12.2355i | −0.312501 | − | 0.541267i | ||||
\(512\) | 0.473897 | 0.0209435 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 13.5030 | 0.595591 | ||||||||
\(515\) | 0.0184183 | + | 0.0319015i | 0.000811608 | + | 0.00140575i | ||||
\(516\) | −1.56670 | − | 2.71361i | −0.0689703 | − | 0.119460i | ||||
\(517\) | −1.22281 | + | 2.11797i | −0.0537792 | + | 0.0931483i | ||||
\(518\) | −0.692066 | − | 1.19869i | −0.0304077 | − | 0.0526676i | ||||
\(519\) | −0.238541 | + | 0.413165i | −0.0104708 | + | 0.0181359i | ||||
\(520\) | −38.0137 | −1.66701 | ||||||||
\(521\) | 27.4783 | 1.20385 | 0.601924 | − | 0.798553i | \(-0.294401\pi\) | ||||
0.601924 | + | 0.798553i | \(0.294401\pi\) | |||||||
\(522\) | −4.14274 | + | 7.17544i | −0.181323 | + | 0.314060i | ||||
\(523\) | −5.17870 | + | 8.96977i | −0.226449 | + | 0.392221i | −0.956753 | − | 0.290901i | \(-0.906045\pi\) |
0.730304 | + | 0.683122i | \(0.239378\pi\) | |||||||
\(524\) | 3.72523 | 0.162737 | ||||||||
\(525\) | 1.41147 | 0.0616018 | ||||||||
\(526\) | 4.24005 | − | 7.34398i | 0.184875 | − | 0.320213i | ||||
\(527\) | 1.60607 | + | 2.78179i | 0.0699614 | + | 0.121177i | ||||
\(528\) | −0.0380187 | + | 0.0658503i | −0.00165455 | + | 0.00286577i | ||||
\(529\) | 9.95336 | + | 17.2397i | 0.432755 | + | 0.749554i | ||||
\(530\) | −6.79813 | − | 11.7747i | −0.295292 | − | 0.511461i | ||||
\(531\) | −29.2303 | −1.26849 | ||||||||
\(532\) | 0 | 0 | ||||||||
\(533\) | 23.7570 | 1.02903 | ||||||||
\(534\) | −0.534148 | − | 0.925172i | −0.0231149 | − | 0.0400361i | ||||
\(535\) | 4.50000 | + | 7.79423i | 0.194552 | + | 0.336974i | ||||
\(536\) | 20.1634 | − | 34.9241i | 0.870928 | − | 1.50849i | ||||
\(537\) | 5.67159 | + | 9.82348i | 0.244747 | + | 0.423914i | ||||
\(538\) | 8.03714 | − | 13.9207i | 0.346506 | − | 0.600166i | ||||
\(539\) | −11.8307 | −0.509584 | ||||||||
\(540\) | 9.44831 | 0.406591 | ||||||||
\(541\) | −1.26217 | + | 2.18615i | −0.0542651 | + | 0.0939899i | −0.891882 | − | 0.452268i | \(-0.850615\pi\) |
0.837617 | + | 0.546258i | \(0.183948\pi\) | |||||||
\(542\) | 8.33837 | − | 14.4425i | 0.358164 | − | 0.620358i | ||||
\(543\) | −8.56624 | −0.367612 | ||||||||
\(544\) | −9.31820 | −0.399515 | ||||||||
\(545\) | −9.33022 | + | 16.1604i | −0.399663 | + | 0.692236i | ||||
\(546\) | 2.32635 | + | 4.02936i | 0.0995587 | + | 0.172441i | ||||
\(547\) | 3.83750 | − | 6.64674i | 0.164079 | − | 0.284194i | −0.772249 | − | 0.635321i | \(-0.780868\pi\) |
0.936328 | + | 0.351127i | \(0.114201\pi\) | |||||||
\(548\) | 11.9846 | + | 20.7579i | 0.511956 | + | 0.886733i | ||||
\(549\) | 5.96245 | + | 10.3273i | 0.254471 | + | 0.440757i | ||||
\(550\) | −4.23442 | −0.180556 | ||||||||
\(551\) | 0 | 0 | ||||||||
\(552\) | −2.65539 | −0.113021 | ||||||||
\(553\) | 6.54323 | + | 11.3332i | 0.278247 | + | 0.481937i | ||||
\(554\) | 6.05185 | + | 10.4821i | 0.257119 | + | 0.445342i | ||||
\(555\) | −0.564178 | + | 0.977185i | −0.0239480 | + | 0.0414792i | ||||
\(556\) | 9.44356 | + | 16.3567i | 0.400496 | + | 0.693680i | ||||
\(557\) | −1.62789 | + | 2.81959i | −0.0689759 | + | 0.119470i | −0.898451 | − | 0.439074i | \(-0.855306\pi\) |
0.829475 | + | 0.558544i | \(0.188640\pi\) | |||||||
\(558\) | −4.64353 | −0.196576 | ||||||||
\(559\) | 25.3996 | 1.07429 | ||||||||
\(560\) | 0.0996702 | − | 0.172634i | 0.00421184 | − | 0.00729511i | ||||
\(561\) | 1.50000 | − | 2.59808i | 0.0633300 | − | 0.109691i | ||||
\(562\) | 11.5297 | 0.486352 | ||||||||
\(563\) | −5.25908 | −0.221644 | −0.110822 | − | 0.993840i | \(-0.535348\pi\) | ||||
−0.110822 | + | 0.993840i | \(0.535348\pi\) | |||||||
\(564\) | −0.233956 | + | 0.405223i | −0.00985131 | + | 0.0170630i | ||||
\(565\) | −9.34002 | − | 16.1774i | −0.392938 | − | 0.680588i | ||||
\(566\) | −7.64068 | + | 13.2340i | −0.321162 | + | 0.556269i | ||||
\(567\) | 6.13816 | + | 10.6316i | 0.257778 | + | 0.446485i | ||||
\(568\) | −19.5202 | − | 33.8100i | −0.819051 | − | 1.41864i | ||||
\(569\) | 29.9564 | 1.25584 | 0.627918 | − | 0.778280i | \(-0.283907\pi\) | ||||
0.627918 | + | 0.778280i | \(0.283907\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −16.7101 | −0.699295 | −0.349647 | − | 0.936881i | \(-0.613699\pi\) | ||||
−0.349647 | + | 0.936881i | \(0.613699\pi\) | |||||||
\(572\) | 11.0706 | + | 19.1748i | 0.462884 | + | 0.801739i | ||||
\(573\) | 5.04117 | + | 8.73157i | 0.210598 | + | 0.364767i | ||||
\(574\) | −3.71048 | + | 6.42675i | −0.154873 | + | 0.268247i | ||||
\(575\) | −1.24123 | − | 2.14987i | −0.0517628 | − | 0.0896559i | ||||
\(576\) | 6.84911 | − | 11.8630i | 0.285379 | − | 0.494292i | ||||
\(577\) | −13.6800 | −0.569508 | −0.284754 | − | 0.958601i | \(-0.591912\pi\) | ||||
−0.284754 | + | 0.958601i | \(0.591912\pi\) | |||||||
\(578\) | 12.5476 | 0.521910 | ||||||||
\(579\) | −3.43242 | + | 5.94512i | −0.142646 | + | 0.247071i | ||||
\(580\) | −5.38578 | + | 9.32845i | −0.223632 | + | 0.387343i | ||||
\(581\) | −4.72193 | −0.195899 | ||||||||
\(582\) | 0.852978 | 0.0353571 | ||||||||
\(583\) | −10.4153 | + | 18.0399i | −0.431359 | + | 0.747137i | ||||
\(584\) | 10.6655 | + | 18.4732i | 0.441341 | + | 0.764426i | ||||
\(585\) | −18.1989 | + | 31.5215i | −0.752433 | + | 1.30325i | ||||
\(586\) | −6.86097 | − | 11.8835i | −0.283424 | − | 0.490905i | ||||
\(587\) | 12.0184 | + | 20.8165i | 0.496053 | + | 0.859189i | 0.999990 | − | 0.00455138i | \(-0.00144875\pi\) |
−0.503936 | + | 0.863741i | \(0.668115\pi\) | |||||||
\(588\) | −2.26352 | −0.0933459 | ||||||||
\(589\) | 0 | 0 | ||||||||
\(590\) | 23.9564 | 0.986268 | ||||||||
\(591\) | −6.17230 | − | 10.6907i | −0.253895 | − | 0.439758i | ||||
\(592\) | 0.0175410 | + | 0.0303818i | 0.000720929 | + | 0.00124869i | ||||
\(593\) | 2.12061 | − | 3.67301i | 0.0870832 | − | 0.150833i | −0.819194 | − | 0.573517i | \(-0.805579\pi\) |
0.906277 | + | 0.422684i | \(0.138912\pi\) | |||||||
\(594\) | 4.56283 | + | 7.90306i | 0.187215 | + | 0.324266i | ||||
\(595\) | −3.93242 | + | 6.81115i | −0.161213 | + | 0.279230i | ||||
\(596\) | 4.62031 | 0.189255 | ||||||||
\(597\) | −4.90673 | −0.200819 | ||||||||
\(598\) | 4.09152 | − | 7.08672i | 0.167315 | − | 0.289797i | ||||
\(599\) | −13.1370 | + | 22.7539i | −0.536762 | + | 0.929699i | 0.462314 | + | 0.886716i | \(0.347019\pi\) |
−0.999076 | + | 0.0429829i | \(0.986314\pi\) | |||||||
\(600\) | −2.13104 | −0.0869995 | ||||||||
\(601\) | 42.2395 | 1.72298 | 0.861492 | − | 0.507771i | \(-0.169530\pi\) | ||||
0.861492 | + | 0.507771i | \(0.169530\pi\) | |||||||
\(602\) | −3.96703 | + | 6.87110i | −0.161684 | + | 0.280045i | ||||
\(603\) | −19.3063 | − | 33.4396i | −0.786215 | − | 1.36176i | ||||
\(604\) | 8.95249 | − | 15.5062i | 0.364271 | − | 0.630937i | ||||
\(605\) | 0.807934 | + | 1.39938i | 0.0328472 | + | 0.0568930i | ||||
\(606\) | 1.85323 | + | 3.20988i | 0.0752822 | + | 0.130393i | ||||
\(607\) | 22.0969 | 0.896885 | 0.448443 | − | 0.893812i | \(-0.351979\pi\) | ||||
0.448443 | + | 0.893812i | \(0.351979\pi\) | |||||||
\(608\) | 0 | 0 | ||||||||
\(609\) | 3.46791 | 0.140527 | ||||||||
\(610\) | −4.88666 | − | 8.46394i | −0.197855 | − | 0.342695i | ||||
\(611\) | −1.89646 | − | 3.28476i | −0.0767225 | − | 0.132887i | ||||
\(612\) | −2.75402 | + | 4.77011i | −0.111325 | + | 0.192820i | ||||
\(613\) | −3.58853 | − | 6.21551i | −0.144939 | − | 0.251042i | 0.784411 | − | 0.620241i | \(-0.212965\pi\) |
−0.929350 | + | 0.369199i | \(0.879632\pi\) | |||||||
\(614\) | −9.46229 | + | 16.3892i | −0.381867 | + | 0.661413i | ||||
\(615\) | 6.04963 | 0.243945 | ||||||||
\(616\) | −18.1925 | −0.732998 | ||||||||
\(617\) | 24.6864 | − | 42.7582i | 0.993839 | − | 1.72138i | 0.400933 | − | 0.916108i | \(-0.368686\pi\) |
0.592906 | − | 0.805272i | \(-0.297981\pi\) | |||||||
\(618\) | −0.00340357 | + | 0.00589515i | −0.000136912 | + | 0.000237138i | ||||
\(619\) | 26.4979 | 1.06504 | 0.532521 | − | 0.846417i | \(-0.321245\pi\) | ||||
0.532521 | + | 0.846417i | \(0.321245\pi\) | |||||||
\(620\) | −6.03684 | −0.242445 | ||||||||
\(621\) | −2.67499 | + | 4.63322i | −0.107344 | + | 0.185925i | ||||
\(622\) | 6.37346 | + | 11.0391i | 0.255552 | + | 0.442630i | ||||
\(623\) | 2.14543 | − | 3.71599i | 0.0859548 | − | 0.148878i | ||||
\(624\) | −0.0589632 | − | 0.102127i | −0.00236042 | − | 0.00408836i | ||||
\(625\) | 15.0326 | + | 26.0372i | 0.601302 | + | 1.04149i | ||||
\(626\) | −17.1643 | −0.686022 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | 12.7264 | 0.507838 | ||||||||
\(629\) | −0.692066 | − | 1.19869i | −0.0275945 | − | 0.0477951i | ||||
\(630\) | −5.68479 | − | 9.84635i | −0.226488 | − | 0.392288i | ||||
\(631\) | −16.6604 | + | 28.8567i | −0.663242 | + | 1.14877i | 0.316517 | + | 0.948587i | \(0.397487\pi\) |
−0.979759 | + | 0.200182i | \(0.935847\pi\) | |||||||
\(632\) | −9.87897 | − | 17.1109i | −0.392965 | − | 0.680635i | ||||
\(633\) | −3.89053 | + | 6.73859i | −0.154635 | + | 0.267835i | ||||
\(634\) | 24.9282 | 0.990025 | ||||||||
\(635\) | −0.255777 | −0.0101502 | ||||||||
\(636\) | −1.99273 | + | 3.45150i | −0.0790167 | + | 0.136861i | ||||
\(637\) | 9.17412 | − | 15.8900i | 0.363492 | − | 0.629586i | ||||
\(638\) | −10.4037 | −0.411888 | ||||||||
\(639\) | −37.3809 | −1.47877 | ||||||||
\(640\) | 8.66297 | − | 15.0047i | 0.342434 | − | 0.593113i | ||||
\(641\) | −0.0680482 | − | 0.117863i | −0.00268774 | − | 0.00465530i | 0.864678 | − | 0.502326i | \(-0.167522\pi\) |
−0.867366 | + | 0.497671i | \(0.834189\pi\) | |||||||
\(642\) | −0.831566 | + | 1.44032i | −0.0328193 | + | 0.0568447i | ||||
\(643\) | −24.0890 | − | 41.7234i | −0.949977 | − | 1.64541i | −0.745465 | − | 0.666545i | \(-0.767773\pi\) |
−0.204512 | − | 0.978864i | \(-0.565561\pi\) | |||||||
\(644\) | −2.02734 | − | 3.51146i | −0.0798884 | − | 0.138371i | ||||
\(645\) | 6.46791 | 0.254674 | ||||||||
\(646\) | 0 | 0 | ||||||||
\(647\) | −36.9718 | −1.45351 | −0.726756 | − | 0.686895i | \(-0.758973\pi\) | ||||
−0.726756 | + | 0.686895i | \(0.758973\pi\) | |||||||
\(648\) | −9.26739 | − | 16.0516i | −0.364057 | − | 0.630566i | ||||
\(649\) | −18.3516 | − | 31.7860i | −0.720365 | − | 1.24771i | ||||
\(650\) | 3.28359 | − | 5.68734i | 0.128793 | − | 0.223076i | ||||
\(651\) | 0.971782 | + | 1.68317i | 0.0380871 | + | 0.0659688i | ||||
\(652\) | −1.24035 | + | 2.14835i | −0.0485759 | + | 0.0841360i | ||||
\(653\) | 27.0000 | 1.05659 | 0.528296 | − | 0.849060i | \(-0.322831\pi\) | ||||
0.528296 | + | 0.849060i | \(0.322831\pi\) | |||||||
\(654\) | −3.44831 | −0.134840 | ||||||||
\(655\) | −3.84477 | + | 6.65934i | −0.150228 | + | 0.260202i | ||||
\(656\) | 0.0940451 | − | 0.162891i | 0.00367185 | − | 0.00635982i | ||||
\(657\) | 20.4243 | 0.796827 | ||||||||
\(658\) | 1.18479 | 0.0461880 | ||||||||
\(659\) | 9.43747 | − | 16.3462i | 0.367632 | − | 0.636757i | −0.621563 | − | 0.783364i | \(-0.713502\pi\) |
0.989195 | + | 0.146607i | \(0.0468354\pi\) | |||||||
\(660\) | 2.81908 | + | 4.88279i | 0.109732 | + | 0.190062i | ||||
\(661\) | −15.3059 | + | 26.5106i | −0.595330 | + | 1.03114i | 0.398171 | + | 0.917311i | \(0.369645\pi\) |
−0.993500 | + | 0.113830i | \(0.963688\pi\) | |||||||
\(662\) | 0.751907 | + | 1.30234i | 0.0292237 | + | 0.0506169i | ||||
\(663\) | 2.32635 | + | 4.02936i | 0.0903480 | + | 0.156487i | ||||
\(664\) | 7.12918 | 0.276666 | ||||||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 2.00093 | 0.0775346 | ||||||||
\(667\) | −3.04963 | − | 5.28211i | −0.118082 | − | 0.204524i | ||||
\(668\) | 14.2643 | + | 24.7065i | 0.551902 | + | 0.955922i | ||||
\(669\) | 0.802004 | − | 1.38911i | 0.0310073 | − | 0.0537061i | ||||
\(670\) | 15.8229 | + | 27.4062i | 0.611294 | + | 1.05879i | ||||
\(671\) | −7.48680 | + | 12.9675i | −0.289025 | + | 0.500605i | ||||
\(672\) | −5.63816 | −0.217497 | ||||||||
\(673\) | −11.9094 | −0.459074 | −0.229537 | − | 0.973300i | \(-0.573721\pi\) | ||||
−0.229537 | + | 0.973300i | \(0.573721\pi\) | |||||||
\(674\) | −11.1853 | + | 19.3734i | −0.430840 | + | 0.746237i | ||||
\(675\) | −2.14677 | + | 3.71832i | −0.0826294 | + | 0.143118i | ||||
\(676\) | −18.3919 | −0.707380 | ||||||||
\(677\) | −5.78106 | −0.222184 | −0.111092 | − | 0.993810i | \(-0.535435\pi\) | ||||
−0.111092 | + | 0.993810i | \(0.535435\pi\) | |||||||
\(678\) | 1.72597 | − | 2.98946i | 0.0662853 | − | 0.114810i | ||||
\(679\) | 1.71301 | + | 2.96702i | 0.0657393 | + | 0.113864i | ||||
\(680\) | 5.93717 | − | 10.2835i | 0.227680 | − | 0.394353i | ||||
\(681\) | 3.65064 | + | 6.32310i | 0.139893 | + | 0.242302i | ||||
\(682\) | −2.91534 | − | 5.04952i | −0.111634 | − | 0.193356i | ||||
\(683\) | −21.0496 | −0.805442 | −0.402721 | − | 0.915323i | \(-0.631935\pi\) | ||||
−0.402721 | + | 0.915323i | \(0.631935\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −49.4766 | −1.89040 | ||||||||
\(686\) | 8.65018 | + | 14.9825i | 0.330265 | + | 0.572036i | ||||
\(687\) | 2.50459 | + | 4.33807i | 0.0955559 | + | 0.165508i | ||||
\(688\) | 0.100548 | − | 0.174154i | 0.00383334 | − | 0.00663954i | ||||
\(689\) | −16.1532 | − | 27.9781i | −0.615387 | − | 1.06588i | ||||
\(690\) | 1.04189 | − | 1.80460i | 0.0396640 | − | 0.0687001i | ||||
\(691\) | −32.9377 | −1.25301 | −0.626504 | − | 0.779418i | \(-0.715515\pi\) | ||||
−0.626504 | + | 0.779418i | \(0.715515\pi\) | |||||||
\(692\) | 1.09987 | 0.0418107 | ||||||||
\(693\) | −8.70961 | + | 15.0855i | −0.330851 | + | 0.573050i | ||||
\(694\) | 3.38666 | − | 5.86587i | 0.128556 | − | 0.222665i | ||||
\(695\) | −38.9864 | −1.47884 | ||||||||
\(696\) | −5.23585 | −0.198464 | ||||||||
\(697\) | −3.71048 | + | 6.42675i | −0.140545 | + | 0.243430i | ||||
\(698\) | 10.0061 | + | 17.3311i | 0.378736 | + | 0.655990i | ||||
\(699\) | −6.43448 | + | 11.1448i | −0.243374 | + | 0.421537i | ||||
\(700\) | −1.62701 | − | 2.81807i | −0.0614952 | − | 0.106513i | ||||
\(701\) | −10.6787 | − | 18.4961i | −0.403329 | − | 0.698586i | 0.590796 | − | 0.806821i | \(-0.298814\pi\) |
−0.994125 | + | 0.108234i | \(0.965480\pi\) | |||||||
\(702\) | −14.1530 | −0.534171 | ||||||||
\(703\) | 0 | 0 | ||||||||
\(704\) | 17.2003 | 0.648260 | ||||||||
\(705\) | −0.482926 | − | 0.836452i | −0.0181880 | − | 0.0315026i | ||||
\(706\) | −5.03256 | − | 8.71664i | −0.189403 | − | 0.328055i | ||||
\(707\) | −7.44356 | + | 12.8926i | −0.279944 | + | 0.484877i | ||||
\(708\) | −3.51114 | − | 6.08148i | −0.131957 | − | 0.228556i | ||||
\(709\) | 7.88532 | − | 13.6578i | 0.296139 | − | 0.512928i | −0.679110 | − | 0.734036i | \(-0.737634\pi\) |
0.975249 | + | 0.221108i | \(0.0709674\pi\) | |||||||
\(710\) | 30.6364 | 1.14976 | ||||||||
\(711\) | −18.9181 | −0.709484 | ||||||||
\(712\) | −3.23917 | + | 5.61041i | −0.121393 | + | 0.210259i | ||||
\(713\) | 1.70914 | − | 2.96032i | 0.0640078 | − | 0.110865i | ||||
\(714\) | −1.45336 | −0.0543908 | ||||||||
\(715\) | −45.7033 | −1.70921 | ||||||||
\(716\) | 13.0753 | − | 22.6471i | 0.488648 | − | 0.846363i | ||||
\(717\) | −6.20574 | − | 10.7487i | −0.231757 | − | 0.401416i | ||||
\(718\) | 4.56583 | − | 7.90824i | 0.170395 | − | 0.295133i | ||||
\(719\) | 17.6642 | + | 30.5952i | 0.658762 | + | 1.14101i | 0.980936 | + | 0.194329i | \(0.0622528\pi\) |
−0.322175 | + | 0.946680i | \(0.604414\pi\) | |||||||
\(720\) | 0.144086 | + | 0.249563i | 0.00536975 | + | 0.00930068i | ||||
\(721\) | −0.0273411 | −0.00101824 | ||||||||
\(722\) | 0 | 0 | ||||||||
\(723\) | 0.158385 | 0.00589040 | ||||||||
\(724\) | 9.87433 | + | 17.1028i | 0.366977 | + | 0.635622i | ||||
\(725\) | −2.44743 | − | 4.23908i | −0.0908954 | − | 0.157435i | ||||
\(726\) | −0.149300 | + | 0.258595i | −0.00554105 | + | 0.00959737i | ||||
\(727\) | −20.2108 | − | 35.0061i | −0.749577 | − | 1.29830i | −0.948026 | − | 0.318194i | \(-0.896924\pi\) |
0.198449 | − | 0.980111i | \(-0.436410\pi\) | |||||||
\(728\) | 14.1074 | − | 24.4348i | 0.522855 | − | 0.905612i | ||||
\(729\) | −12.8912 | −0.477454 | ||||||||
\(730\) | −16.7392 | −0.619544 | ||||||||
\(731\) | −3.96703 | + | 6.87110i | −0.146726 | + | 0.254137i | ||||
\(732\) | −1.43242 | + | 2.48102i | −0.0529437 | + | 0.0917012i | ||||
\(733\) | −36.2763 | −1.33990 | −0.669948 | − | 0.742408i | \(-0.733684\pi\) | ||||
−0.669948 | + | 0.742408i | \(0.733684\pi\) | |||||||
\(734\) | 28.6091 | 1.05598 | ||||||||
\(735\) | 2.33615 | − | 4.04633i | 0.0861703 | − | 0.149251i | ||||
\(736\) | 4.95811 | + | 8.58770i | 0.182758 | + | 0.316547i | ||||
\(737\) | 24.2422 | − | 41.9887i | 0.892972 | − | 1.54667i | ||||
\(738\) | −5.36396 | − | 9.29065i | −0.197450 | − | 0.341994i | ||||
\(739\) | 10.3380 | + | 17.9059i | 0.380288 | + | 0.658678i | 0.991103 | − | 0.133095i | \(-0.0424915\pi\) |
−0.610815 | + | 0.791773i | \(0.709158\pi\) | |||||||
\(740\) | 2.60132 | 0.0956264 | ||||||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 10.0915 | 0.370471 | ||||||||
\(743\) | 3.35204 | + | 5.80591i | 0.122975 | + | 0.212998i | 0.920939 | − | 0.389706i | \(-0.127423\pi\) |
−0.797965 | + | 0.602704i | \(0.794090\pi\) | |||||||
\(744\) | −1.46720 | − | 2.54126i | −0.0537900 | − | 0.0931670i | ||||
\(745\) | −4.76857 | + | 8.25941i | −0.174707 | + | 0.302601i | ||||
\(746\) | −13.4044 | − | 23.2170i | −0.490769 | − | 0.850036i | ||||
\(747\) | 3.41307 | − | 5.91160i | 0.124878 | − | 0.216294i | ||||
\(748\) | −6.91622 | −0.252882 | ||||||||
\(749\) | −6.68004 | −0.244084 | ||||||||
\(750\) | −2.12583 | + | 3.68204i | −0.0776243 | + | 0.134449i | ||||
\(751\) | 5.35369 | − | 9.27287i | 0.195359 | − | 0.338372i | −0.751659 | − | 0.659552i | \(-0.770746\pi\) |
0.947018 | + | 0.321180i | \(0.104079\pi\) | |||||||
\(752\) | −0.0300295 | −0.00109506 | ||||||||
\(753\) | 8.61856 | 0.314078 | ||||||||
\(754\) | 8.06758 | − | 13.9735i | 0.293804 | − | 0.508883i | ||||
\(755\) | 18.4795 | + | 32.0075i | 0.672539 | + | 1.16487i | ||||
\(756\) | −3.50640 | + | 6.07326i | −0.127526 | + | 0.220882i | ||||
\(757\) | 2.03121 | + | 3.51816i | 0.0738256 | + | 0.127870i | 0.900575 | − | 0.434701i | \(-0.143146\pi\) |
−0.826749 | + | 0.562570i | \(0.809813\pi\) | |||||||
\(758\) | −7.85282 | − | 13.6015i | −0.285227 | − | 0.494028i | ||||
\(759\) | −3.19253 | −0.115882 | ||||||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −11.0077 | −0.399030 | −0.199515 | − | 0.979895i | \(-0.563937\pi\) | ||||
−0.199515 | + | 0.979895i | \(0.563937\pi\) | |||||||
\(762\) | −0.0236329 | − | 0.0409333i | −0.000856129 | − | 0.00148286i | ||||
\(763\) | −6.92514 | − | 11.9947i | −0.250707 | − | 0.434237i | ||||
\(764\) | 11.6220 | − | 20.1298i | 0.420468 | − | 0.728271i | ||||
\(765\) | −5.68479 | − | 9.84635i | −0.205534 | − | 0.355996i | ||||
\(766\) | 10.3135 | − | 17.8634i | 0.372640 | − | 0.645432i | ||||
\(767\) | 56.9231 | 2.05538 | ||||||||
\(768\) | 8.56717 | 0.309141 | ||||||||
\(769\) | −10.6736 | + | 18.4873i | −0.384902 | + | 0.666669i | −0.991756 | − | 0.128144i | \(-0.959098\pi\) |
0.606854 | + | 0.794813i | \(0.292431\pi\) | |||||||
\(770\) | 7.13816 | − | 12.3636i | 0.257241 | − | 0.445555i | ||||
\(771\) | 8.17024 | 0.294244 | ||||||||
\(772\) | 15.8262 | 0.569599 | ||||||||
\(773\) | 8.95858 | − | 15.5167i | 0.322218 | − | 0.558097i | −0.658728 | − | 0.752381i | \(-0.728905\pi\) |
0.980945 | + | 0.194284i | \(0.0622384\pi\) | |||||||
\(774\) | −5.73483 | − | 9.93302i | −0.206134 | − | 0.357035i | ||||
\(775\) | 1.37164 | − | 2.37576i | 0.0492709 | − | 0.0853397i | ||||
\(776\) | −2.58630 | − | 4.47961i | −0.0928429 | − | 0.160809i | ||||
\(777\) | −0.418748 | − | 0.725293i | −0.0150225 | − | 0.0260197i | ||||
\(778\) | −3.43788 | −0.123254 | ||||||||
\(779\) | 0 | 0 | ||||||||
\(780\) | −8.74422 | −0.313093 | ||||||||
\(781\) | −23.4688 | − | 40.6492i | −0.839781 | − | 1.45454i | ||||
\(782\) | 1.27807 | + | 2.21368i | 0.0457036 | + | 0.0791609i | ||||
\(783\) | −5.27450 | + | 9.13570i | −0.188495 | + | 0.326483i | ||||
\(784\) | −0.0726338 | − | 0.125805i | −0.00259406 | − | 0.00449305i | ||||
\(785\) | −13.1348 | + | 22.7501i | −0.468799 | + | 0.811984i | ||||
\(786\) | −1.42097 | −0.0506843 | ||||||||
\(787\) | −48.8316 | −1.74066 | −0.870330 | − | 0.492470i | \(-0.836094\pi\) | ||||
−0.870330 | + | 0.492470i | \(0.836094\pi\) | |||||||
\(788\) | −14.2297 | + | 24.6465i | −0.506911 | + | 0.877996i | ||||
\(789\) | 2.56552 | − | 4.44361i | 0.0913350 | − | 0.158197i | ||||
\(790\) | 15.5047 | 0.551634 | ||||||||
\(791\) | 13.8648 | 0.492977 | ||||||||
\(792\) | 13.1498 | − | 22.7761i | 0.467257 | − | 0.809312i | ||||
\(793\) | −11.6113 | − | 20.1113i | −0.412329 | − | 0.714174i | ||||
\(794\) | 3.93923 | − | 6.82294i | 0.139798 | − | 0.242137i | ||||
\(795\) | −4.11334 | − | 7.12452i | −0.145885 | − | 0.252681i | ||||
\(796\) | 5.65600 | + | 9.79648i | 0.200472 | + | 0.347227i | ||||
\(797\) | 28.5262 | 1.01045 | 0.505225 | − | 0.862988i | \(-0.331409\pi\) | ||||
0.505225 | + | 0.862988i | \(0.331409\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 1.18479 | 0.0419149 | ||||||||
\(800\) | 3.97906 | + | 6.89193i | 0.140681 | + | 0.243666i | ||||
\(801\) | 3.10148 | + | 5.37192i | 0.109585 | + | 0.189808i | ||||
\(802\) | 0.891407 | − | 1.54396i | 0.0314767 | − | 0.0545192i | ||||
\(803\) | 12.8229 | + | 22.2100i | 0.452512 | + | 0.783774i | ||||
\(804\) | 4.63816 | − | 8.03352i | 0.163575 | − | 0.283320i | ||||
\(805\) | 8.36959 | 0.294989 | ||||||||
\(806\) | 9.04282 | 0.318520 | ||||||||
\(807\) | 4.86303 | − | 8.42301i | 0.171187 | − | 0.296504i | ||||
\(808\) | 11.2383 | − | 19.4653i | 0.395362 | − | 0.684787i | ||||
\(809\) | −14.8367 | −0.521630 | −0.260815 | − | 0.965389i | \(-0.583991\pi\) | ||||
−0.260815 | + | 0.965389i | \(0.583991\pi\) | |||||||
\(810\) | 14.5449 | 0.511055 | ||||||||
\(811\) | −4.18866 | + | 7.25498i | −0.147084 | + | 0.254757i | −0.930148 | − | 0.367184i | \(-0.880322\pi\) |
0.783065 | + | 0.621940i | \(0.213655\pi\) | |||||||
\(812\) | −3.99747 | − | 6.92383i | −0.140284 | − | 0.242979i | ||||
\(813\) | 5.04529 | − | 8.73870i | 0.176946 | − | 0.306480i | ||||
\(814\) | 1.25624 | + | 2.17588i | 0.0440313 | + | 0.0762645i | ||||
\(815\) | −2.56031 | − | 4.43458i | −0.0896837 | − | 0.155337i | ||||
\(816\) | 0.0368366 | 0.00128954 | ||||||||
\(817\) | 0 | 0 | ||||||||
\(818\) | −28.3233 | −0.990299 | ||||||||
\(819\) | −13.5077 | − | 23.3961i | −0.471999 | − | 0.817526i | ||||
\(820\) | −6.97343 | − | 12.0783i | −0.243523 | − | 0.421794i | ||||
\(821\) | −3.13950 | + | 5.43777i | −0.109569 | + | 0.189780i | −0.915596 | − | 0.402100i | \(-0.868280\pi\) |
0.806027 | + | 0.591879i | \(0.201614\pi\) | |||||||
\(822\) | −4.57145 | − | 7.91799i | −0.159448 | − | 0.276171i | ||||
\(823\) | −5.51320 | + | 9.54915i | −0.192178 | + | 0.332862i | −0.945972 | − | 0.324249i | \(-0.894888\pi\) |
0.753794 | + | 0.657111i | \(0.228222\pi\) | |||||||
\(824\) | 0.0412797 | 0.00143805 | ||||||||
\(825\) | −2.56212 | −0.0892015 | ||||||||
\(826\) | −8.89053 | + | 15.3988i | −0.309341 | + | 0.535794i | ||||
\(827\) | 16.9679 | − | 29.3893i | 0.590032 | − | 1.02197i | −0.404195 | − | 0.914673i | \(-0.632448\pi\) |
0.994227 | − | 0.107293i | \(-0.0342182\pi\) | |||||||
\(828\) | 5.86154 | 0.203703 | ||||||||
\(829\) | 20.3669 | 0.707372 | 0.353686 | − | 0.935364i | \(-0.384928\pi\) | ||||
0.353686 | + | 0.935364i | \(0.384928\pi\) | |||||||
\(830\) | −2.79726 | + | 4.84499i | −0.0970942 | + | 0.168172i | ||||
\(831\) | 3.66179 | + | 6.34240i | 0.127026 | + | 0.220016i | ||||
\(832\) | −13.3380 | + | 23.1020i | −0.462411 | + | 0.800919i | ||||
\(833\) | 2.86571 | + | 4.96356i | 0.0992911 | + | 0.171977i | ||||
\(834\) | −3.60220 | − | 6.23919i | −0.124734 | − | 0.216045i | ||||
\(835\) | −58.8881 | −2.03791 | ||||||||
\(836\) | 0 | 0 | ||||||||
\(837\) | −5.91210 | −0.204352 | ||||||||
\(838\) | −10.2228 | − | 17.7064i | −0.353141 | − | 0.611658i | ||||
\(839\) | 7.90467 | + | 13.6913i | 0.272899 | + | 0.472676i | 0.969603 | − | 0.244683i | \(-0.0786840\pi\) |
−0.696704 | + | 0.717359i | \(0.745351\pi\) | |||||||
\(840\) | 3.59240 | − | 6.22221i | 0.123949 | − | 0.214687i | ||||
\(841\) | 8.48680 | + | 14.6996i | 0.292648 | + | 0.506881i | ||||
\(842\) | −2.83750 | + | 4.91469i | −0.0977866 | + | 0.169371i | ||||
\(843\) | 6.97628 | 0.240276 | ||||||||
\(844\) | 17.9385 | 0.617469 | ||||||||
\(845\) | 18.9820 | − | 32.8779i | 0.653002 | − | 1.13103i | ||||
\(846\) | −0.856381 | + | 1.48330i | −0.0294430 | + | 0.0509968i | ||||
\(847\) | −1.19934 | −0.0412098 | ||||||||
\(848\) | −0.255777 | −0.00878343 | ||||||||
\(849\) | −4.62314 | + | 8.00752i | −0.158666 | + | 0.274817i | ||||
\(850\) | 1.02569 | + | 1.77655i | 0.0351810 | + | 0.0609352i | ||||
\(851\) | −0.736482 | + | 1.27562i | −0.0252463 | + | 0.0437278i | ||||
\(852\) | −4.49020 | − | 7.77725i | −0.153832 | − | 0.266444i | ||||
\(853\) | 26.3246 | + | 45.5955i | 0.901337 | + | 1.56116i | 0.825760 | + | 0.564022i | \(0.190747\pi\) |
0.0755770 | + | 0.997140i | \(0.475920\pi\) | |||||||
\(854\) | 7.25402 | 0.248228 | ||||||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 10.0855 | 0.344716 | ||||||||
\(857\) | −11.5137 | − | 19.9423i | −0.393299 | − | 0.681215i | 0.599583 | − | 0.800313i | \(-0.295333\pi\) |
−0.992883 | + | 0.119098i | \(0.962000\pi\) | |||||||
\(858\) | −4.22281 | − | 7.31412i | −0.144164 | − | 0.249700i | ||||
\(859\) | −4.45471 | + | 7.71578i | −0.151993 | + | 0.263259i | −0.931960 | − | 0.362561i | \(-0.881902\pi\) |
0.779967 | + | 0.625820i | \(0.215236\pi\) | |||||||
\(860\) | −7.45558 | − | 12.9135i | −0.254233 | − | 0.440345i | ||||
\(861\) | −2.24510 | + | 3.88863i | −0.0765128 | + | 0.132524i | ||||
\(862\) | −12.3090 | −0.419247 | ||||||||
\(863\) | −29.7698 | −1.01338 | −0.506688 | − | 0.862129i | \(-0.669130\pi\) | ||||
−0.506688 | + | 0.862129i | \(0.669130\pi\) | |||||||
\(864\) | 8.57532 | − | 14.8529i | 0.291738 | − | 0.505306i | ||||
\(865\) | −1.13516 | + | 1.96616i | −0.0385967 | + | 0.0668514i | ||||
\(866\) | −25.2321 | −0.857420 | ||||||||
\(867\) | 7.59215 | 0.257843 | ||||||||
\(868\) | 2.24035 | − | 3.88040i | 0.0760425 | − | 0.131709i | ||||
\(869\) | −11.8773 | − | 20.5721i | −0.402911 | − | 0.697862i | ||||
\(870\) | 2.05438 | − | 3.55829i | 0.0696499 | − | 0.120637i | ||||
\(871\) | 37.5972 | + | 65.1203i | 1.27393 | + | 2.20652i | ||||
\(872\) | 10.4556 | + | 18.1096i | 0.354071 | + | 0.613269i | ||||
\(873\) | −4.95273 | −0.167625 | ||||||||
\(874\) | 0 | 0 | ||||||||
\(875\) | −17.0770 | −0.577307 | ||||||||
\(876\) | 2.45336 | + | 4.24935i | 0.0828915 | + | 0.143572i | ||||
\(877\) | −12.5150 | − | 21.6766i | −0.422602 | − | 0.731968i | 0.573591 | − | 0.819142i | \(-0.305550\pi\) |
−0.996193 | + | 0.0871736i | \(0.972217\pi\) | |||||||
\(878\) | 5.86649 | − | 10.1611i | 0.197984 | − | 0.342919i | ||||
\(879\) | −4.15136 | − | 7.19037i | −0.140022 | − | 0.242525i | ||||
\(880\) | −0.180922 | + | 0.313366i | −0.00609888 | + | 0.0105636i | ||||
\(881\) | 20.3960 | 0.687158 | 0.343579 | − | 0.939124i | \(-0.388361\pi\) | ||||
0.343579 | + | 0.939124i | \(0.388361\pi\) | |||||||
\(882\) | −8.28548 | −0.278987 | ||||||||
\(883\) | 5.31403 | − | 9.20416i | 0.178831 | − | 0.309745i | −0.762649 | − | 0.646812i | \(-0.776102\pi\) |
0.941480 | + | 0.337068i | \(0.109435\pi\) | |||||||
\(884\) | 5.36319 | − | 9.28931i | 0.180384 | − | 0.312433i | ||||
\(885\) | 14.4953 | 0.487253 | ||||||||
\(886\) | −29.7962 | −1.00102 | ||||||||
\(887\) | −28.1694 | + | 48.7908i | −0.945835 | + | 1.63823i | −0.191764 | + | 0.981441i | \(0.561421\pi\) |
−0.754071 | + | 0.656793i | \(0.771913\pi\) | |||||||
\(888\) | 0.632226 | + | 1.09505i | 0.0212161 | + | 0.0367474i | ||||
\(889\) | 0.0949225 | − | 0.164411i | 0.00318360 | − | 0.00551415i | ||||
\(890\) | −2.54189 | − | 4.40268i | −0.0852043 | − | 0.147578i | ||||
\(891\) | −11.1420 | − | 19.2986i | −0.373272 | − | 0.646526i | ||||
\(892\) | −3.69789 | −0.123815 | ||||||||
\(893\) | 0 | 0 | ||||||||
\(894\) | −1.76239 | −0.0589432 | ||||||||
\(895\) | 26.9898 | + | 46.7477i | 0.902169 | + | 1.56260i | ||||
\(896\) | 6.42989 | + | 11.1369i | 0.214808 | + | 0.372058i | ||||
\(897\) | 2.47565 | − | 4.28795i | 0.0826596 | − | 0.143171i | ||||
\(898\) | −8.28389 | − | 14.3481i | −0.276437 | − | 0.478803i | ||||
\(899\) | 3.37005 | − | 5.83710i | 0.112398 | − | 0.194678i | ||||
\(900\) | 4.70409 | 0.156803 | ||||||||
\(901\) | 10.0915 | 0.336197 | ||||||||
\(902\) | 6.73530 | − | 11.6659i | 0.224261 | − | 0.388431i | ||||
\(903\) | −2.40033 | + | 4.15749i | −0.0798780 | + | 0.138353i | ||||
\(904\) | −20.9331 | −0.696226 | ||||||||
\(905\) | −40.7648 | −1.35507 | ||||||||
\(906\) | −3.41488 | + | 5.91474i | −0.113452 | + | 0.196504i | ||||
\(907\) | −2.96182 | − | 5.13002i | −0.0983456 | − | 0.170340i | 0.812654 | − | 0.582746i | \(-0.198022\pi\) |
−0.911000 | + | 0.412406i | \(0.864688\pi\) | |||||||
\(908\) | 8.41622 | − | 14.5773i | 0.279302 | − | 0.483765i | ||||
\(909\) | −10.7606 | − | 18.6379i | −0.356906 | − | 0.618179i | ||||
\(910\) | 11.0706 | + | 19.1748i | 0.366986 | + | 0.635638i | ||||
\(911\) | 34.0591 | 1.12843 | 0.564215 | − | 0.825628i | \(-0.309179\pi\) | ||||
0.564215 | + | 0.825628i | \(0.309179\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 8.57129 | 0.283668 | ||||||||
\(914\) | 6.27837 | + | 10.8745i | 0.207670 | + | 0.359695i | ||||
\(915\) | −2.95677 | − | 5.12127i | −0.0977477 | − | 0.169304i | ||||
\(916\) | 5.77409 | − | 10.0010i | 0.190781 | − | 0.330443i | ||||
\(917\) | −2.85369 | − | 4.94274i | −0.0942372 | − | 0.163224i | ||||
\(918\) | 2.21048 | − | 3.82867i | 0.0729569 | − | 0.126365i | ||||
\(919\) | −6.27395 | −0.206958 | −0.103479 | − | 0.994632i | \(-0.532998\pi\) | ||||
−0.103479 | + | 0.994632i | \(0.532998\pi\) | |||||||
\(920\) | −12.6364 | −0.416610 | ||||||||
\(921\) | −5.72534 | + | 9.91658i | −0.188656 | + | 0.326762i | ||||
\(922\) | −6.12407 | + | 10.6072i | −0.201686 | + | 0.349330i | ||||
\(923\) | 72.7957 | 2.39610 | ||||||||
\(924\) | −4.18479 | −0.137670 | ||||||||
\(925\) | −0.591052 | + | 1.02373i | −0.0194337 | + | 0.0336601i | ||||
\(926\) | −0.775129 | − | 1.34256i | −0.0254723 | − | 0.0441194i | ||||
\(927\) | 0.0197625 | − | 0.0342296i | 0.000649085 | − | 0.00112425i | ||||
\(928\) | 9.77631 | + | 16.9331i | 0.320923 | + | 0.555855i | ||||
\(929\) | −14.1616 | − | 24.5287i | −0.464628 | − | 0.804759i | 0.534557 | − | 0.845133i | \(-0.320479\pi\) |
−0.999185 | + | 0.0403735i | \(0.987145\pi\) | |||||||
\(930\) | 2.30272 | 0.0755091 | ||||||||
\(931\) | 0 | 0 | ||||||||
\(932\) | 29.6682 | 0.971814 | ||||||||
\(933\) | 3.85638 | + | 6.67945i | 0.126252 | + | 0.218675i | ||||
\(934\) | 9.69166 | + | 16.7864i | 0.317121 | + | 0.549269i | ||||
\(935\) | 7.13816 | − | 12.3636i | 0.233443 | − | 0.404335i | ||||
\(936\) | 20.3940 | + | 35.3234i | 0.666598 | + | 1.15458i | ||||
\(937\) | 10.0360 | − | 17.3828i | 0.327860 | − | 0.567871i | −0.654227 | − | 0.756299i | \(-0.727006\pi\) |
0.982087 | + | 0.188428i | \(0.0603391\pi\) | |||||||
\(938\) | −23.4884 | −0.766925 | ||||||||
\(939\) | −10.3856 | −0.338920 | ||||||||
\(940\) | −1.11334 | + | 1.92836i | −0.0363132 | + | 0.0628963i | ||||
\(941\) | 2.69759 | − | 4.67236i | 0.0879388 | − | 0.152314i | −0.818701 | − | 0.574220i | \(-0.805305\pi\) |
0.906640 | + | 0.421906i | \(0.138639\pi\) | |||||||
\(942\) | −4.85441 | −0.158165 | ||||||||
\(943\) | 7.89723 | 0.257169 | ||||||||
\(944\) | 0.225337 | − | 0.390296i | 0.00733411 | − | 0.0127030i | ||||
\(945\) | −7.23783 | − | 12.5363i | −0.235446 | − | 0.407805i | ||||
\(946\) | 7.20099 | − | 12.4725i | 0.234124 | − | 0.405515i | ||||
\(947\) | −3.32160 | − | 5.75319i | −0.107938 | − | 0.186953i | 0.806997 | − | 0.590556i | \(-0.201091\pi\) |
−0.914935 | + | 0.403602i | \(0.867758\pi\) | |||||||
\(948\) | −2.27244 | − | 3.93598i | −0.0738055 | − | 0.127835i | ||||
\(949\) | −39.7743 | −1.29113 | ||||||||
\(950\) | 0 | 0 | ||||||||
\(951\) | 15.0833 | 0.489109 | ||||||||
\(952\) | 4.40673 | + | 7.63267i | 0.142823 | + | 0.247376i | ||||
\(953\) | −7.41194 | − | 12.8379i | −0.240096 | − | 0.415859i | 0.720645 | − | 0.693304i | \(-0.243846\pi\) |
−0.960742 | + | 0.277445i | \(0.910512\pi\) | |||||||
\(954\) | −7.29426 | + | 12.6340i | −0.236160 | + | 0.409042i | ||||
\(955\) | 23.9898 | + | 41.5515i | 0.776291 | + | 1.34458i | ||||
\(956\) | −14.3068 | + | 24.7800i | −0.462713 | + | 0.801443i | ||||
\(957\) | −6.29498 | −0.203488 | ||||||||
\(958\) | 22.3865 | 0.723275 | ||||||||
\(959\) | 18.3614 | − | 31.8029i | 0.592922 | − | 1.02697i | ||||
\(960\) | −3.39646 | + | 5.88284i | −0.109620 | + | 0.189868i | ||||
\(961\) | −27.2226 | −0.878147 | ||||||||
\(962\) | −3.89662 | −0.125632 | ||||||||
\(963\) | 4.82841 | − | 8.36305i | 0.155593 | − | 0.269496i | ||||
\(964\) | −0.182571 | − | 0.316222i | −0.00588022 | − | 0.0101848i | ||||
\(965\) | −16.3341 | + | 28.2915i | −0.525813 | + | 0.910735i | ||||
\(966\) | 0.773318 | + | 1.33943i | 0.0248811 | + | 0.0430953i | ||||
\(967\) | −10.6108 | − | 18.3785i | −0.341221 | − | 0.591012i | 0.643439 | − | 0.765497i | \(-0.277507\pi\) |
−0.984660 | + | 0.174486i | \(0.944174\pi\) | |||||||
\(968\) | 1.81076 | 0.0582002 | ||||||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 4.05913 | 0.130331 | ||||||||
\(971\) | −18.8033 | − | 32.5684i | −0.603428 | − | 1.04517i | −0.992298 | − | 0.123875i | \(-0.960468\pi\) |
0.388870 | − | 0.921293i | \(-0.372866\pi\) | |||||||
\(972\) | −7.72890 | − | 13.3869i | −0.247905 | − | 0.429384i | ||||
\(973\) | 14.4684 | − | 25.0600i | 0.463835 | − | 0.803386i | ||||
\(974\) | 9.89780 | + | 17.1435i | 0.317146 | + | 0.549313i | ||||
\(975\) | 1.98680 | − | 3.44123i | 0.0636284 | − | 0.110208i | ||||
\(976\) | −0.183859 | −0.00588518 | ||||||||
\(977\) | 46.0215 | 1.47236 | 0.736179 | − | 0.676787i | \(-0.236628\pi\) | ||||
0.736179 | + | 0.676787i | \(0.236628\pi\) | |||||||
\(978\) | 0.473126 | − | 0.819478i | 0.0151289 | − | 0.0262040i | ||||
\(979\) | −3.89440 | + | 6.74530i | −0.124466 | + | 0.215581i | ||||
\(980\) | −10.7716 | −0.344085 | ||||||||
\(981\) | 20.0223 | 0.639262 | ||||||||
\(982\) | 6.87417 | − | 11.9064i | 0.219364 | − | 0.379949i | ||||
\(983\) | 30.2982 | + | 52.4780i | 0.966362 | + | 1.67379i | 0.705910 | + | 0.708302i | \(0.250538\pi\) |
0.260452 | + | 0.965487i | \(0.416128\pi\) | |||||||
\(984\) | 3.38965 | − | 5.87105i | 0.108058 | − | 0.187162i | ||||
\(985\) | −29.3726 | − | 50.8748i | −0.935888 | − | 1.62101i | ||||
\(986\) | 2.52007 | + | 4.36488i | 0.0802553 | + | 0.139006i | ||||
\(987\) | 0.716881 | 0.0228186 | ||||||||
\(988\) | 0 | 0 | ||||||||
\(989\) | 8.44326 | 0.268480 | ||||||||
\(990\) | 10.3191 | + | 17.8732i | 0.327962 | + | 0.568047i | ||||
\(991\) | 20.9491 | + | 36.2849i | 0.665470 | + | 1.15263i | 0.979158 | + | 0.203101i | \(0.0651020\pi\) |
−0.313688 | + | 0.949526i | \(0.601565\pi\) | |||||||
\(992\) | −5.47906 | + | 9.49000i | −0.173960 | + | 0.301308i | ||||
\(993\) | 0.454956 | + | 0.788006i | 0.0144376 | + | 0.0250066i | ||||
\(994\) | −11.3696 | + | 19.6927i | −0.360621 | + | 0.624614i | ||||
\(995\) | −23.3500 | −0.740244 | ||||||||
\(996\) | 1.63991 | 0.0519626 | ||||||||
\(997\) | −16.8576 | + | 29.1982i | −0.533884 | + | 0.924715i | 0.465332 | + | 0.885136i | \(0.345935\pi\) |
−0.999216 | + | 0.0395787i | \(0.987398\pi\) | |||||||
\(998\) | −12.5826 | + | 21.7937i | −0.398295 | + | 0.689867i | ||||
\(999\) | 2.54757 | 0.0806016 |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))