Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [576,2,Mod(13,576)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(576, base_ring=CyclotomicField(48))
chi = DirichletCharacter(H, H._module([0, 45, 16]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("576.13");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 576 = 2^{6} \cdot 3^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 576.bm (of order \(48\), degree \(16\), 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: | \(4.59938315643\) |
Analytic rank: | \(0\) |
Dimension: | \(1504\) |
Relative dimension: | \(94\) over \(\Q(\zeta_{48})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{48}]$ |
Embedding invariants
Embedding label | 205.42 | ||
Character | \(\chi\) | \(=\) | 576.205 |
Dual form | 576.2.bm.a.517.42 |
$q$-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 \(\left(\mathbb{Z}/576\mathbb{Z}\right)^\times\).
\(n\) | \(65\) | \(127\) | \(325\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) | \(e\left(\frac{15}{16}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.349903 | − | 1.37024i | −0.247419 | − | 0.968909i | ||||
\(3\) | 1.71961 | − | 0.207232i | 0.992817 | − | 0.119645i | ||||
\(4\) | −1.75514 | + | 0.958905i | −0.877568 | + | 0.479452i | ||||
\(5\) | −2.21267 | − | 2.52307i | −0.989536 | − | 1.12835i | −0.991729 | − | 0.128352i | \(-0.959031\pi\) |
0.00219299 | − | 0.999998i | \(-0.499302\pi\) | |||||||
\(6\) | −0.885654 | − | 2.28377i | −0.361567 | − | 0.932346i | ||||
\(7\) | 4.47101 | + | 0.588620i | 1.68988 | + | 0.222477i | 0.913228 | − | 0.407449i | \(-0.133582\pi\) |
0.776655 | + | 0.629926i | \(0.216915\pi\) | |||||||
\(8\) | 1.92806 | + | 2.06944i | 0.681672 | + | 0.731658i | ||||
\(9\) | 2.91411 | − | 0.712716i | 0.971370 | − | 0.237572i | ||||
\(10\) | −2.68300 | + | 3.91472i | −0.848438 | + | 1.23794i | ||||
\(11\) | −1.40741 | − | 2.85394i | −0.424349 | − | 0.860495i | −0.999110 | − | 0.0421740i | \(-0.986572\pi\) |
0.574761 | − | 0.818321i | \(-0.305095\pi\) | |||||||
\(12\) | −2.81943 | + | 2.01266i | −0.813900 | + | 0.581005i | ||||
\(13\) | 0.366186 | + | 1.07875i | 0.101562 | + | 0.299191i | 0.985820 | − | 0.167807i | \(-0.0536686\pi\) |
−0.884258 | + | 0.466999i | \(0.845335\pi\) | |||||||
\(14\) | −0.757867 | − | 6.33233i | −0.202548 | − | 1.69239i | ||||
\(15\) | −4.32779 | − | 3.88015i | −1.11743 | − | 1.00185i | ||||
\(16\) | 2.16100 | − | 3.36602i | 0.540251 | − | 0.841504i | ||||
\(17\) | 0.812536 | + | 0.812536i | 0.197069 | + | 0.197069i | 0.798742 | − | 0.601673i | \(-0.205499\pi\) |
−0.601673 | + | 0.798742i | \(0.705499\pi\) | |||||||
\(18\) | −1.99625 | − | 3.74366i | −0.470521 | − | 0.882389i | ||||
\(19\) | 0.674344 | − | 3.39016i | 0.154705 | − | 0.777755i | −0.823044 | − | 0.567978i | \(-0.807726\pi\) |
0.977749 | − | 0.209777i | \(-0.0672740\pi\) | |||||||
\(20\) | 6.30291 | + | 2.30658i | 1.40937 | + | 0.515768i | ||||
\(21\) | 7.81037 | + | 0.0856594i | 1.70436 | + | 0.0186924i | ||||
\(22\) | −3.41814 | + | 2.92709i | −0.728749 | + | 0.624058i | ||||
\(23\) | −0.460468 | − | 3.49760i | −0.0960142 | − | 0.729300i | −0.969958 | − | 0.243273i | \(-0.921779\pi\) |
0.873944 | − | 0.486027i | \(-0.161554\pi\) | |||||||
\(24\) | 3.74436 | + | 3.15907i | 0.764315 | + | 0.644843i | ||||
\(25\) | −0.817324 | + | 6.20819i | −0.163465 | + | 1.24164i | ||||
\(26\) | 1.35002 | − | 0.879222i | 0.264761 | − | 0.172430i | ||||
\(27\) | 4.86343 | − | 1.82949i | 0.935968 | − | 0.352085i | ||||
\(28\) | −8.41166 | + | 3.25416i | −1.58965 | + | 0.614979i | ||||
\(29\) | −7.12161 | + | 0.466775i | −1.32245 | + | 0.0866780i | −0.710208 | − | 0.703992i | \(-0.751399\pi\) |
−0.612243 | + | 0.790670i | \(0.709732\pi\) | |||||||
\(30\) | −3.80245 | + | 7.28780i | −0.694229 | + | 1.33056i | ||||
\(31\) | −4.47426 | + | 2.58322i | −0.803602 | + | 0.463960i | −0.844729 | − | 0.535194i | \(-0.820238\pi\) |
0.0411273 | + | 0.999154i | \(0.486905\pi\) | |||||||
\(32\) | −5.36840 | − | 1.78332i | −0.949009 | − | 0.315250i | ||||
\(33\) | −3.01162 | − | 4.61600i | −0.524255 | − | 0.803543i | ||||
\(34\) | 0.829064 | − | 1.39768i | 0.142183 | − | 0.239700i | ||||
\(35\) | −8.40774 | − | 12.5831i | −1.42117 | − | 2.12693i | ||||
\(36\) | −4.43123 | + | 4.04527i | −0.738539 | + | 0.674211i | ||||
\(37\) | −0.859078 | − | 4.31888i | −0.141232 | − | 0.710019i | −0.984896 | − | 0.173148i | \(-0.944606\pi\) |
0.843664 | − | 0.536871i | \(-0.180394\pi\) | |||||||
\(38\) | −4.88129 | + | 0.262210i | −0.791850 | + | 0.0425360i | ||||
\(39\) | 0.853248 | + | 1.77914i | 0.136629 | + | 0.284891i | ||||
\(40\) | 0.955175 | − | 9.44361i | 0.151026 | − | 1.49317i | ||||
\(41\) | 1.07990 | + | 8.20264i | 0.168652 | + | 1.28104i | 0.841095 | + | 0.540888i | \(0.181912\pi\) |
−0.672443 | + | 0.740149i | \(0.734755\pi\) | |||||||
\(42\) | −2.61550 | − | 10.7321i | −0.403580 | − | 1.65600i | ||||
\(43\) | 6.38963 | − | 3.15102i | 0.974410 | − | 0.480526i | 0.115865 | − | 0.993265i | \(-0.463036\pi\) |
0.858544 | + | 0.512739i | \(0.171369\pi\) | |||||||
\(44\) | 5.20685 | + | 3.65948i | 0.784962 | + | 0.551688i | ||||
\(45\) | −8.24619 | − | 5.77549i | −1.22927 | − | 0.860959i | ||||
\(46\) | −4.63145 | + | 1.85477i | −0.682870 | + | 0.273472i | ||||
\(47\) | −3.45552 | + | 0.925903i | −0.504039 | + | 0.135057i | −0.501874 | − | 0.864941i | \(-0.667356\pi\) |
−0.00216521 | + | 0.999998i | \(0.500689\pi\) | |||||||
\(48\) | 3.01854 | − | 6.23606i | 0.435688 | − | 0.900098i | ||||
\(49\) | 12.8820 | + | 3.45172i | 1.84028 | + | 0.493102i | ||||
\(50\) | 8.79272 | − | 1.05233i | 1.24348 | − | 0.148822i | ||||
\(51\) | 1.56563 | + | 1.22886i | 0.219232 | + | 0.172075i | ||||
\(52\) | −1.67712 | − | 1.54221i | −0.232575 | − | 0.213867i | ||||
\(53\) | 2.03190 | − | 3.04095i | 0.279103 | − | 0.417707i | −0.665260 | − | 0.746611i | \(-0.731679\pi\) |
0.944363 | + | 0.328905i | \(0.106679\pi\) | |||||||
\(54\) | −4.20858 | − | 6.02394i | −0.572715 | − | 0.819755i | ||||
\(55\) | −4.08655 | + | 9.86581i | −0.551030 | + | 1.33031i | ||||
\(56\) | 7.40226 | + | 10.3874i | 0.989169 | + | 1.38807i | ||||
\(57\) | 0.457059 | − | 5.96949i | 0.0605390 | − | 0.790678i | ||||
\(58\) | 3.13147 | + | 9.59502i | 0.411182 | + | 1.25989i | ||||
\(59\) | 9.14331 | + | 10.4259i | 1.19036 | + | 1.35734i | 0.918704 | + | 0.394948i | \(0.129237\pi\) |
0.271654 | + | 0.962395i | \(0.412429\pi\) | |||||||
\(60\) | 11.3165 | + | 2.66026i | 1.46096 | + | 0.343438i | ||||
\(61\) | −0.0872630 | − | 1.33138i | −0.0111729 | − | 0.170465i | −0.999799 | − | 0.0200685i | \(-0.993612\pi\) |
0.988626 | − | 0.150397i | \(-0.0480551\pi\) | |||||||
\(62\) | 5.10520 | + | 5.22696i | 0.648361 | + | 0.663824i | ||||
\(63\) | 13.4485 | − | 1.47126i | 1.69436 | − | 0.185361i | ||||
\(64\) | −0.565168 | + | 7.98001i | −0.0706460 | + | 0.997501i | ||||
\(65\) | 1.91151 | − | 3.31083i | 0.237093 | − | 0.410658i | ||||
\(66\) | −5.27127 | + | 5.74180i | −0.648849 | + | 0.706767i | ||||
\(67\) | −12.5706 | − | 6.19915i | −1.53575 | − | 0.757347i | −0.539345 | − | 0.842085i | \(-0.681328\pi\) |
−0.996403 | + | 0.0847378i | \(0.972995\pi\) | |||||||
\(68\) | −2.20526 | − | 0.646967i | −0.267427 | − | 0.0784563i | ||||
\(69\) | −1.51664 | − | 5.91908i | −0.182582 | − | 0.712574i | ||||
\(70\) | −14.3000 | + | 15.9235i | −1.70917 | + | 1.90322i | ||||
\(71\) | −2.10701 | − | 5.08678i | −0.250056 | − | 0.603690i | 0.748152 | − | 0.663528i | \(-0.230942\pi\) |
−0.998208 | + | 0.0598381i | \(0.980942\pi\) | |||||||
\(72\) | 7.09350 | + | 4.65642i | 0.835977 | + | 0.548764i | ||||
\(73\) | 2.01310 | − | 4.86005i | 0.235615 | − | 0.568826i | −0.761205 | − | 0.648512i | \(-0.775392\pi\) |
0.996820 | + | 0.0796858i | \(0.0253917\pi\) | |||||||
\(74\) | −5.61732 | + | 2.68833i | −0.653000 | + | 0.312513i | ||||
\(75\) | −0.118942 | + | 10.8450i | −0.0137342 | + | 1.25228i | ||||
\(76\) | 2.06727 | + | 6.59681i | 0.237132 | + | 0.756707i | ||||
\(77\) | −4.61265 | − | 13.5884i | −0.525660 | − | 1.54854i | ||||
\(78\) | 2.13930 | − | 1.79169i | 0.242229 | − | 0.202868i | ||||
\(79\) | 3.56555 | + | 13.3068i | 0.401155 | + | 1.49713i | 0.811038 | + | 0.584994i | \(0.198903\pi\) |
−0.409883 | + | 0.912138i | \(0.634430\pi\) | |||||||
\(80\) | −13.2743 | + | 1.99552i | −1.48411 | + | 0.223106i | ||||
\(81\) | 7.98407 | − | 4.15386i | 0.887119 | − | 0.461541i | ||||
\(82\) | 10.8618 | − | 4.34985i | 1.19948 | − | 0.480361i | ||||
\(83\) | 12.2571 | + | 10.7492i | 1.34540 | + | 1.17988i | 0.967159 | + | 0.254172i | \(0.0818028\pi\) |
0.378237 | + | 0.925709i | \(0.376531\pi\) | |||||||
\(84\) | −13.7904 | + | 7.33905i | −1.50466 | + | 0.800757i | ||||
\(85\) | 0.252208 | − | 3.84796i | 0.0273558 | − | 0.417370i | ||||
\(86\) | −6.55341 | − | 7.65280i | −0.706673 | − | 0.825223i | ||||
\(87\) | −12.1497 | + | 2.27850i | −1.30258 | + | 0.244281i | ||||
\(88\) | 3.19249 | − | 8.41511i | 0.340321 | − | 0.897054i | ||||
\(89\) | 9.22569 | − | 3.82140i | 0.977921 | − | 0.405068i | 0.164266 | − | 0.986416i | \(-0.447474\pi\) |
0.813655 | + | 0.581348i | \(0.197474\pi\) | |||||||
\(90\) | −5.02846 | + | 13.3201i | −0.530046 | + | 1.40407i | ||||
\(91\) | 1.00225 | + | 5.03864i | 0.105064 | + | 0.528193i | ||||
\(92\) | 4.16205 | + | 5.69722i | 0.433924 | + | 0.593976i | ||||
\(93\) | −7.15866 | + | 5.36934i | −0.742319 | + | 0.556774i | ||||
\(94\) | 2.47781 | + | 4.41093i | 0.255567 | + | 0.454952i | ||||
\(95\) | −10.0457 | + | 5.79988i | −1.03067 | + | 0.595055i | ||||
\(96\) | −9.60112 | − | 1.95411i | −0.979910 | − | 0.199441i | ||||
\(97\) | −1.92121 | − | 1.10921i | −0.195069 | − | 0.112623i | 0.399284 | − | 0.916827i | \(-0.369259\pi\) |
−0.594354 | + | 0.804204i | \(0.702592\pi\) | |||||||
\(98\) | 0.222250 | − | 18.8592i | 0.0224507 | − | 1.90507i | ||||
\(99\) | −6.13539 | − | 7.31361i | −0.616630 | − | 0.735046i | ||||
\(100\) | −4.51855 | − | 11.6800i | −0.451855 | − | 1.16800i | ||||
\(101\) | 5.51495 | + | 1.87207i | 0.548758 | + | 0.186278i | 0.582029 | − | 0.813168i | \(-0.302259\pi\) |
−0.0332709 | + | 0.999446i | \(0.510592\pi\) | |||||||
\(102\) | 1.13602 | − | 2.57527i | 0.112483 | − | 0.254990i | ||||
\(103\) | 5.78197 | + | 4.43666i | 0.569714 | + | 0.437157i | 0.853024 | − | 0.521871i | \(-0.174766\pi\) |
−0.283310 | + | 0.959028i | \(0.591433\pi\) | |||||||
\(104\) | −1.52638 | + | 2.83769i | −0.149674 | + | 0.278259i | ||||
\(105\) | −17.0656 | − | 19.8956i | −1.66544 | − | 1.94161i | ||||
\(106\) | −4.87781 | − | 1.72016i | −0.473775 | − | 0.167077i | ||||
\(107\) | 5.51467 | + | 3.68479i | 0.533124 | + | 0.356222i | 0.792808 | − | 0.609472i | \(-0.208618\pi\) |
−0.259684 | + | 0.965694i | \(0.583618\pi\) | |||||||
\(108\) | −6.78168 | + | 7.87457i | −0.652567 | + | 0.757731i | ||||
\(109\) | −3.74577 | + | 18.8313i | −0.358780 | + | 1.80371i | 0.206094 | + | 0.978532i | \(0.433925\pi\) |
−0.564874 | + | 0.825177i | \(0.691075\pi\) | |||||||
\(110\) | 14.9485 | + | 2.14750i | 1.42528 | + | 0.204756i | ||||
\(111\) | −2.37229 | − | 7.24875i | −0.225168 | − | 0.688021i | ||||
\(112\) | 11.6432 | − | 13.7775i | 1.10018 | − | 1.30185i | ||||
\(113\) | −3.76081 | − | 1.00771i | −0.353788 | − | 0.0947971i | 0.0775480 | − | 0.996989i | \(-0.475291\pi\) |
−0.431336 | + | 0.902191i | \(0.641958\pi\) | |||||||
\(114\) | −8.33958 | + | 1.46246i | −0.781073 | + | 0.136972i | ||||
\(115\) | −7.80581 | + | 8.90082i | −0.727896 | + | 0.830006i | ||||
\(116\) | 12.0518 | − | 7.64820i | 1.11898 | − | 0.710118i | ||||
\(117\) | 1.83595 | + | 2.88261i | 0.169734 | + | 0.266497i | ||||
\(118\) | 11.0868 | − | 16.1766i | 1.02062 | − | 1.48918i | ||||
\(119\) | 3.15458 | + | 4.11113i | 0.289180 | + | 0.376867i | ||||
\(120\) | −0.314490 | − | 16.4373i | −0.0287089 | − | 1.50051i | ||||
\(121\) | 0.532197 | − | 0.693573i | 0.0483816 | − | 0.0630521i | ||||
\(122\) | −1.79378 | + | 0.585424i | −0.162401 | + | 0.0530018i | ||||
\(123\) | 3.55685 | + | 13.8815i | 0.320710 | + | 1.25166i | ||||
\(124\) | 5.37588 | − | 8.82429i | 0.482769 | − | 0.792445i | ||||
\(125\) | 3.52069 | − | 2.35245i | 0.314900 | − | 0.210410i | ||||
\(126\) | −6.72166 | − | 17.9130i | −0.598813 | − | 1.59581i | ||||
\(127\) | −14.4885 | −1.28565 | −0.642823 | − | 0.766015i | \(-0.722237\pi\) | ||||
−0.642823 | + | 0.766015i | \(0.722237\pi\) | |||||||
\(128\) | 11.1323 | − | 2.01781i | 0.983967 | − | 0.178351i | ||||
\(129\) | 10.3347 | − | 6.74265i | 0.909918 | − | 0.593658i | ||||
\(130\) | −5.20548 | − | 1.46076i | −0.456551 | − | 0.128117i | ||||
\(131\) | 11.3720 | + | 5.60804i | 0.993575 | + | 0.489977i | 0.865026 | − | 0.501727i | \(-0.167302\pi\) |
0.128548 | + | 0.991703i | \(0.458968\pi\) | |||||||
\(132\) | 9.71210 | + | 5.21386i | 0.845330 | + | 0.453808i | ||||
\(133\) | 5.01051 | − | 14.7605i | 0.434466 | − | 1.27990i | ||||
\(134\) | −4.09585 | + | 19.3939i | −0.353827 | + | 1.67538i | ||||
\(135\) | −15.3771 | − | 8.22270i | −1.32345 | − | 0.707698i | ||||
\(136\) | −0.114877 | + | 3.24811i | −0.00985060 | + | 0.278524i | ||||
\(137\) | 2.35468 | + | 3.06867i | 0.201174 | + | 0.262175i | 0.883035 | − | 0.469307i | \(-0.155496\pi\) |
−0.681862 | + | 0.731481i | \(0.738829\pi\) | |||||||
\(138\) | −7.57991 | + | 4.14927i | −0.645245 | + | 0.353209i | ||||
\(139\) | −21.2747 | − | 1.39442i | −1.80449 | − | 0.118273i | −0.874310 | − | 0.485368i | \(-0.838686\pi\) |
−0.930183 | + | 0.367095i | \(0.880352\pi\) | |||||||
\(140\) | 26.8227 | + | 14.0228i | 2.26693 | + | 1.18514i | ||||
\(141\) | −5.75026 | + | 2.30829i | −0.484260 | + | 0.194393i | ||||
\(142\) | −6.23288 | + | 4.66700i | −0.523052 | + | 0.391646i | ||||
\(143\) | 2.56331 | − | 2.56331i | 0.214355 | − | 0.214355i | ||||
\(144\) | 3.89839 | − | 11.3491i | 0.324866 | − | 0.945760i | ||||
\(145\) | 16.9355 | + | 16.9355i | 1.40642 | + | 1.40642i | ||||
\(146\) | −7.36384 | − | 1.05789i | −0.609436 | − | 0.0875516i | ||||
\(147\) | 22.8673 | + | 3.26604i | 1.88606 | + | 0.269379i | ||||
\(148\) | 5.64919 | + | 6.75644i | 0.464361 | + | 0.555376i | ||||
\(149\) | −1.00908 | + | 15.3956i | −0.0826674 | + | 1.26126i | 0.731989 | + | 0.681317i | \(0.238592\pi\) |
−0.814656 | + | 0.579944i | \(0.803074\pi\) | |||||||
\(150\) | 14.9020 | − | 3.63173i | 1.21674 | − | 0.296530i | ||||
\(151\) | 0.916766 | − | 0.703459i | 0.0746053 | − | 0.0572467i | −0.570785 | − | 0.821099i | \(-0.693361\pi\) |
0.645391 | + | 0.763853i | \(0.276695\pi\) | |||||||
\(152\) | 8.31590 | − | 5.14091i | 0.674509 | − | 0.416983i | ||||
\(153\) | 2.94693 | + | 1.78871i | 0.238245 | + | 0.144609i | ||||
\(154\) | −17.0055 | + | 11.0751i | −1.37034 | + | 0.892455i | ||||
\(155\) | 16.4177 | + | 5.57306i | 1.31870 | + | 0.447639i | ||||
\(156\) | −3.20359 | − | 2.30445i | −0.256493 | − | 0.184504i | ||||
\(157\) | 1.75431 | − | 3.55739i | 0.140009 | − | 0.283911i | −0.815563 | − | 0.578669i | \(-0.803572\pi\) |
0.955572 | + | 0.294758i | \(0.0952391\pi\) | |||||||
\(158\) | 16.9860 | − | 9.54175i | 1.35133 | − | 0.759101i | ||||
\(159\) | 2.86389 | − | 5.65032i | 0.227121 | − | 0.448100i | ||||
\(160\) | 7.37906 | + | 17.4907i | 0.583366 | + | 1.38276i | ||||
\(161\) | − | 15.9088i | − | 1.25379i | ||||||
\(162\) | −8.48546 | − | 9.48668i | −0.666680 | − | 0.745344i | ||||
\(163\) | 9.69586 | + | 14.5109i | 0.759438 | + | 1.13658i | 0.986669 | + | 0.162739i | \(0.0520328\pi\) |
−0.227231 | + | 0.973841i | \(0.572967\pi\) | |||||||
\(164\) | −9.76091 | − | 13.3612i | −0.762199 | − | 1.04334i | ||||
\(165\) | −4.98276 | + | 17.8122i | −0.387907 | + | 1.38668i | ||||
\(166\) | 10.4402 | − | 20.5565i | 0.810320 | − | 1.59549i | ||||
\(167\) | 15.3839 | + | 11.8045i | 1.19044 | + | 0.913460i | 0.997700 | − | 0.0677893i | \(-0.0215946\pi\) |
0.192744 | + | 0.981249i | \(0.438261\pi\) | |||||||
\(168\) | 14.8816 | + | 16.3283i | 1.14814 | + | 1.25975i | ||||
\(169\) | 9.28398 | − | 7.12385i | 0.714153 | − | 0.547989i | ||||
\(170\) | −5.36089 | + | 1.00082i | −0.411161 | + | 0.0767597i | ||||
\(171\) | −0.451105 | − | 10.3599i | −0.0344969 | − | 0.792241i | ||||
\(172\) | −8.19315 | + | 11.6575i | −0.624722 | + | 0.888877i | ||||
\(173\) | −11.2835 | − | 9.89534i | −0.857866 | − | 0.752328i | 0.112581 | − | 0.993643i | \(-0.464088\pi\) |
−0.970447 | + | 0.241314i | \(0.922422\pi\) | |||||||
\(174\) | 7.37330 | + | 15.8507i | 0.558968 | + | 1.20164i | ||||
\(175\) | −7.30853 | + | 27.2758i | −0.552473 | + | 2.06186i | ||||
\(176\) | −12.6478 | − | 1.43002i | −0.953365 | − | 0.107792i | ||||
\(177\) | 17.8835 | + | 16.0338i | 1.34421 | + | 1.20517i | ||||
\(178\) | −8.46435 | − | 11.3043i | −0.634430 | − | 0.847295i | ||||
\(179\) | −4.07529 | − | 0.810625i | −0.304601 | − | 0.0605889i | 0.0404233 | − | 0.999183i | \(-0.487129\pi\) |
−0.345024 | + | 0.938594i | \(0.612129\pi\) | |||||||
\(180\) | 20.0113 | + | 2.22945i | 1.49156 | + | 0.166174i | ||||
\(181\) | 7.17392 | − | 10.7365i | 0.533233 | − | 0.798040i | −0.462852 | − | 0.886435i | \(-0.653174\pi\) |
0.996085 | + | 0.0883955i | \(0.0281739\pi\) | |||||||
\(182\) | 6.55348 | − | 3.13636i | 0.485776 | − | 0.232483i | ||||
\(183\) | −0.425962 | − | 2.27136i | −0.0314880 | − | 0.167904i | ||||
\(184\) | 6.35027 | − | 7.69650i | 0.468148 | − | 0.567393i | ||||
\(185\) | −8.99596 | + | 11.7238i | −0.661396 | + | 0.861948i | ||||
\(186\) | 9.86213 | + | 7.93036i | 0.723127 | + | 0.581482i | ||||
\(187\) | 1.17536 | − | 3.46250i | 0.0859509 | − | 0.253203i | ||||
\(188\) | 5.17705 | − | 4.93860i | 0.377575 | − | 0.360184i | ||||
\(189\) | 22.8213 | − | 5.31695i | 1.66001 | − | 0.386751i | ||||
\(190\) | 11.4623 | + | 11.7356i | 0.831560 | + | 0.851393i | ||||
\(191\) | 2.87438 | − | 4.97858i | 0.207983 | − | 0.360237i | −0.743096 | − | 0.669185i | \(-0.766643\pi\) |
0.951079 | + | 0.308948i | \(0.0999768\pi\) | |||||||
\(192\) | 0.681845 | + | 13.8396i | 0.0492079 | + | 0.998789i | ||||
\(193\) | 11.8559 | + | 20.5350i | 0.853404 | + | 1.47814i | 0.878118 | + | 0.478444i | \(0.158799\pi\) |
−0.0247139 | + | 0.999695i | \(0.507867\pi\) | |||||||
\(194\) | −0.847652 | + | 3.02064i | −0.0608579 | + | 0.216869i | ||||
\(195\) | 2.60094 | − | 6.08945i | 0.186257 | − | 0.436075i | ||||
\(196\) | −25.9195 | + | 6.29436i | −1.85139 | + | 0.449597i | ||||
\(197\) | 4.49776 | − | 0.894661i | 0.320452 | − | 0.0637419i | −0.0322432 | − | 0.999480i | \(-0.510265\pi\) |
0.352696 | + | 0.935738i | \(0.385265\pi\) | |||||||
\(198\) | −7.87464 | + | 10.9660i | −0.559627 | + | 0.779322i | ||||
\(199\) | −7.89250 | − | 19.0542i | −0.559484 | − | 1.35071i | −0.910175 | − | 0.414223i | \(-0.864053\pi\) |
0.350691 | − | 0.936491i | \(-0.385947\pi\) | |||||||
\(200\) | −14.4233 | + | 10.2784i | −1.01988 | + | 0.726790i | ||||
\(201\) | −22.9012 | − | 8.05508i | −1.61533 | − | 0.568162i | ||||
\(202\) | 0.635500 | − | 8.21187i | 0.0447136 | − | 0.577785i | ||||
\(203\) | −32.1156 | − | 2.10497i | −2.25407 | − | 0.147740i | ||||
\(204\) | −3.92625 | − | 0.655531i | −0.274893 | − | 0.0458963i | ||||
\(205\) | 18.3063 | − | 20.8744i | 1.27857 | − | 1.45793i | ||||
\(206\) | 4.05618 | − | 9.47511i | 0.282607 | − | 0.660162i | ||||
\(207\) | −3.83465 | − | 9.86421i | −0.266527 | − | 0.685610i | ||||
\(208\) | 4.42242 | + | 1.09859i | 0.306640 | + | 0.0761738i | ||||
\(209\) | −10.6244 | + | 2.84679i | −0.734904 | + | 0.196917i | ||||
\(210\) | −21.2905 | + | 30.3456i | −1.46919 | + | 2.09405i | ||||
\(211\) | −5.10652 | + | 1.73343i | −0.351548 | + | 0.119334i | −0.491627 | − | 0.870806i | \(-0.663598\pi\) |
0.140079 | + | 0.990140i | \(0.455264\pi\) | |||||||
\(212\) | −0.650276 | + | 7.28568i | −0.0446612 | + | 0.500382i | ||||
\(213\) | −4.67738 | − | 8.31063i | −0.320489 | − | 0.569435i | ||||
\(214\) | 3.11946 | − | 8.84577i | 0.213242 | − | 0.604684i | ||||
\(215\) | −22.0884 | − | 9.14930i | −1.50641 | − | 0.623977i | ||||
\(216\) | 13.1630 | + | 6.53722i | 0.895629 | + | 0.444801i | ||||
\(217\) | −21.5250 | + | 8.91595i | −1.46121 | + | 0.605254i | ||||
\(218\) | 27.1141 | − | 1.45650i | 1.83640 | − | 0.0986463i | ||||
\(219\) | 2.45459 | − | 8.77457i | 0.165866 | − | 0.592930i | ||||
\(220\) | −2.28791 | − | 21.2344i | −0.154251 | − | 1.43163i | ||||
\(221\) | −0.578984 | + | 1.17406i | −0.0389467 | + | 0.0789760i | ||||
\(222\) | −9.10249 | + | 5.78697i | −0.610919 | + | 0.388396i | ||||
\(223\) | 7.89688 | + | 4.55927i | 0.528814 | + | 0.305311i | 0.740534 | − | 0.672019i | \(-0.234573\pi\) |
−0.211719 | + | 0.977331i | \(0.567906\pi\) | |||||||
\(224\) | −22.9525 | − | 11.1332i | −1.53358 | − | 0.743869i | ||||
\(225\) | 2.04291 | + | 18.6739i | 0.136194 | + | 1.24493i | ||||
\(226\) | −0.0648846 | + | 5.50583i | −0.00431606 | + | 0.366243i | ||||
\(227\) | −2.74759 | + | 0.180087i | −0.182364 | + | 0.0119528i | −0.156312 | − | 0.987708i | \(-0.549960\pi\) |
−0.0260526 | + | 0.999661i | \(0.508294\pi\) | |||||||
\(228\) | 4.92197 | + | 10.9155i | 0.325965 | + | 0.722899i | ||||
\(229\) | 5.54474 | − | 4.86261i | 0.366407 | − | 0.321330i | −0.456268 | − | 0.889842i | \(-0.650814\pi\) |
0.822675 | + | 0.568512i | \(0.192481\pi\) | |||||||
\(230\) | 14.9276 | + | 7.58144i | 0.984295 | + | 0.499906i | ||||
\(231\) | −10.7479 | − | 22.4109i | −0.707160 | − | 1.47453i | ||||
\(232\) | −14.6969 | − | 13.8378i | −0.964896 | − | 0.908495i | ||||
\(233\) | −16.2837 | − | 6.74493i | −1.06678 | − | 0.441875i | −0.220928 | − | 0.975290i | \(-0.570908\pi\) |
−0.845854 | + | 0.533415i | \(0.820908\pi\) | |||||||
\(234\) | 3.30747 | − | 3.52433i | 0.216216 | − | 0.230393i | ||||
\(235\) | 9.98203 | + | 6.66978i | 0.651156 | + | 0.435089i | ||||
\(236\) | −26.0452 | − | 9.53139i | −1.69540 | − | 0.620441i | ||||
\(237\) | 8.88894 | + | 22.1436i | 0.577399 | + | 1.43838i | ||||
\(238\) | 4.52946 | − | 5.76105i | 0.293601 | − | 0.373433i | ||||
\(239\) | −4.82871 | + | 18.0210i | −0.312344 | + | 1.16568i | 0.614094 | + | 0.789233i | \(0.289522\pi\) |
−0.926437 | + | 0.376449i | \(0.877145\pi\) | |||||||
\(240\) | −22.4130 | + | 6.18237i | −1.44675 | + | 0.399070i | ||||
\(241\) | 0.00842171 | + | 0.0314303i | 0.000542490 | + | 0.00202460i | 0.966197 | − | 0.257807i | \(-0.0829997\pi\) |
−0.965654 | + | 0.259831i | \(0.916333\pi\) | |||||||
\(242\) | −1.13658 | − | 0.486557i | −0.0730622 | − | 0.0312770i | ||||
\(243\) | 12.8687 | − | 8.79758i | 0.825525 | − | 0.564365i | ||||
\(244\) | 1.42982 | + | 2.25307i | 0.0915349 | + | 0.144238i | ||||
\(245\) | −19.7946 | − | 40.1396i | −1.26463 | − | 2.56442i | ||||
\(246\) | 17.7765 | − | 9.73094i | 1.13339 | − | 0.620422i | ||||
\(247\) | 3.90406 | − | 0.513980i | 0.248410 | − | 0.0327038i | ||||
\(248\) | −13.9725 | − | 4.27863i | −0.887253 | − | 0.271693i | ||||
\(249\) | 23.3051 | + | 15.9444i | 1.47690 | + | 1.01043i | ||||
\(250\) | −4.45533 | − | 4.00108i | −0.281780 | − | 0.253050i | ||||
\(251\) | −22.5119 | + | 4.47789i | −1.42094 | + | 0.282642i | −0.844962 | − | 0.534826i | \(-0.820377\pi\) |
−0.575974 | + | 0.817468i | \(0.695377\pi\) | |||||||
\(252\) | −22.1932 | + | 15.4781i | −1.39804 | + | 0.975030i | ||||
\(253\) | −9.33388 | + | 6.23670i | −0.586816 | + | 0.392098i | ||||
\(254\) | 5.06956 | + | 19.8528i | 0.318093 | + | 1.24567i | ||||
\(255\) | −0.363720 | − | 6.66925i | −0.0227770 | − | 0.417644i | ||||
\(256\) | −6.66012 | − | 14.5479i | −0.416258 | − | 0.909247i | ||||
\(257\) | −4.55951 | − | 7.89730i | −0.284414 | − | 0.492620i | 0.688053 | − | 0.725661i | \(-0.258466\pi\) |
−0.972467 | + | 0.233041i | \(0.925132\pi\) | |||||||
\(258\) | −12.8552 | − | 11.8018i | −0.800331 | − | 0.734745i | ||||
\(259\) | −1.29877 | − | 19.8154i | −0.0807017 | − | 1.23127i | ||||
\(260\) | −0.180187 | + | 7.64391i | −0.0111747 | + | 0.474055i | ||||
\(261\) | −20.4205 | + | 6.43592i | −1.26400 | + | 0.398374i | ||||
\(262\) | 3.70529 | − | 17.5447i | 0.228914 | − | 1.08391i | ||||
\(263\) | 5.20794 | + | 0.685638i | 0.321135 | + | 0.0422783i | 0.289371 | − | 0.957217i | \(-0.406554\pi\) |
0.0317647 | + | 0.999495i | \(0.489887\pi\) | |||||||
\(264\) | 3.74596 | − | 15.1323i | 0.230548 | − | 0.931328i | ||||
\(265\) | −12.1684 | + | 1.60201i | −0.747501 | + | 0.0984104i | ||||
\(266\) | −21.9787 | − | 1.70088i | −1.34760 | − | 0.104288i | ||||
\(267\) | 15.0727 | − | 8.48318i | 0.922432 | − | 0.519162i | ||||
\(268\) | 28.0076 | − | 1.17369i | 1.71084 | − | 0.0716943i | ||||
\(269\) | −13.0937 | − | 2.60449i | −0.798335 | − | 0.158799i | −0.220965 | − | 0.975282i | \(-0.570921\pi\) |
−0.577369 | + | 0.816483i | \(0.695921\pi\) | |||||||
\(270\) | −5.88662 | + | 23.9475i | −0.358248 | + | 1.45740i | ||||
\(271\) | −8.51071 | + | 8.51071i | −0.516989 | + | 0.516989i | −0.916659 | − | 0.399670i | \(-0.869125\pi\) |
0.399670 | + | 0.916659i | \(0.369125\pi\) | |||||||
\(272\) | 4.49090 | − | 0.979116i | 0.272301 | − | 0.0593676i | ||||
\(273\) | 2.76764 | + | 8.45680i | 0.167505 | + | 0.511829i | ||||
\(274\) | 3.38092 | − | 4.30022i | 0.204249 | − | 0.259786i | ||||
\(275\) | 18.8681 | − | 6.40487i | 1.13779 | − | 0.386228i | ||||
\(276\) | 8.33774 | + | 8.93448i | 0.501873 | + | 0.537793i | ||||
\(277\) | −18.0586 | + | 8.90554i | −1.08504 | + | 0.535082i | −0.894714 | − | 0.446639i | \(-0.852621\pi\) |
−0.190325 | + | 0.981721i | \(0.560954\pi\) | |||||||
\(278\) | 5.53338 | + | 29.6394i | 0.331870 | + | 1.77765i | ||||
\(279\) | −11.1974 | + | 10.7167i | −0.670371 | + | 0.641590i | ||||
\(280\) | 9.82929 | − | 41.6602i | 0.587412 | − | 2.48968i | ||||
\(281\) | −2.74441 | + | 20.8459i | −0.163718 | + | 1.24356i | 0.690379 | + | 0.723448i | \(0.257444\pi\) |
−0.854097 | + | 0.520114i | \(0.825889\pi\) | |||||||
\(282\) | 5.17495 | + | 7.07159i | 0.308164 | + | 0.421107i | ||||
\(283\) | 5.74102 | − | 5.03474i | 0.341268 | − | 0.299284i | −0.471506 | − | 0.881863i | \(-0.656290\pi\) |
0.812774 | + | 0.582579i | \(0.197956\pi\) | |||||||
\(284\) | 8.57583 | + | 6.90757i | 0.508882 | + | 0.409889i | ||||
\(285\) | −16.0727 | + | 12.0553i | −0.952066 | + | 0.714095i | ||||
\(286\) | −4.40928 | − | 2.61545i | −0.260726 | − | 0.154655i | ||||
\(287\) | 37.3097i | 2.20232i | ||||||||
\(288\) | −16.9151 | − | 1.37065i | −0.996733 | − | 0.0807666i | ||||
\(289\) | − | 15.6796i | − | 0.922328i | ||||||
\(290\) | 17.2800 | − | 29.1315i | 1.01471 | − | 1.71066i | ||||
\(291\) | −3.53359 | − | 1.50927i | −0.207143 | − | 0.0884752i | ||||
\(292\) | 1.12706 | + | 10.4604i | 0.0659564 | + | 0.612150i | ||||
\(293\) | 22.1325 | − | 19.4097i | 1.29300 | − | 1.13393i | 0.309915 | − | 0.950764i | \(-0.399699\pi\) |
0.983082 | − | 0.183164i | \(-0.0586339\pi\) | |||||||
\(294\) | −3.52605 | − | 32.4765i | −0.205643 | − | 1.89407i | ||||
\(295\) | 6.07423 | − | 46.1383i | 0.353655 | − | 2.68628i | ||||
\(296\) | 7.28131 | − | 10.1049i | 0.423217 | − | 0.587334i | ||||
\(297\) | −12.0661 | − | 11.3051i | −0.700145 | − | 0.655989i | ||||
\(298\) | 21.4489 | − | 4.00429i | 1.24250 | − | 0.231962i | ||||
\(299\) | 3.60442 | − | 1.77750i | 0.208449 | − | 0.102796i | ||||
\(300\) | −10.1906 | − | 19.1486i | −0.588355 | − | 1.10554i | ||||
\(301\) | 30.4229 | − | 10.3272i | 1.75354 | − | 0.595248i | ||||
\(302\) | −1.28469 | − | 1.01005i | −0.0739256 | − | 0.0581218i | ||||
\(303\) | 9.87151 | + | 2.07636i | 0.567103 | + | 0.119284i | ||||
\(304\) | −9.95406 | − | 9.59599i | −0.570904 | − | 0.550368i | ||||
\(305\) | −3.16606 | + | 3.16606i | −0.181288 | + | 0.181288i | ||||
\(306\) | 1.41983 | − | 4.66389i | 0.0811665 | − | 0.266617i | ||||
\(307\) | −26.6315 | − | 5.29734i | −1.51994 | − | 0.302335i | −0.636647 | − | 0.771155i | \(-0.719679\pi\) |
−0.883294 | + | 0.468820i | \(0.844679\pi\) | |||||||
\(308\) | 21.1258 | + | 19.4264i | 1.20376 | + | 1.10692i | ||||
\(309\) | 10.8621 | + | 6.43111i | 0.617926 | + | 0.365853i | ||||
\(310\) | 1.89185 | − | 24.4463i | 0.107450 | − | 1.38846i | ||||
\(311\) | −26.4835 | + | 3.48661i | −1.50174 | + | 0.197708i | −0.836105 | − | 0.548570i | \(-0.815172\pi\) |
−0.665635 | + | 0.746278i | \(0.731839\pi\) | |||||||
\(312\) | −2.03671 | + | 5.19604i | −0.115306 | + | 0.294168i | ||||
\(313\) | −2.34134 | − | 0.308243i | −0.132340 | − | 0.0174229i | 0.0640651 | − | 0.997946i | \(-0.479593\pi\) |
−0.196405 | + | 0.980523i | \(0.562927\pi\) | |||||||
\(314\) | −5.48833 | − | 1.15909i | −0.309724 | − | 0.0654114i | ||||
\(315\) | −33.4692 | − | 30.6761i | −1.88578 | − | 1.72840i | ||||
\(316\) | −19.0180 | − | 19.9362i | −1.06984 | − | 1.12150i | ||||
\(317\) | −0.600520 | − | 9.16216i | −0.0337286 | − | 0.514598i | −0.980980 | − | 0.194108i | \(-0.937819\pi\) |
0.947252 | − | 0.320491i | \(-0.103848\pi\) | |||||||
\(318\) | −8.74440 | − | 1.94716i | −0.490362 | − | 0.109191i | ||||
\(319\) | 11.3552 | + | 19.6677i | 0.635767 | + | 1.10118i | ||||
\(320\) | 21.3846 | − | 16.2312i | 1.19544 | − | 0.907350i | ||||
\(321\) | 10.2467 | + | 5.19358i | 0.571914 | + | 0.289877i | ||||
\(322\) | −21.7990 | + | 5.56655i | −1.21481 | + | 0.310212i | ||||
\(323\) | 3.30255 | − | 2.20670i | 0.183759 | − | 0.122784i | ||||
\(324\) | −10.0300 | + | 14.9466i | −0.557221 | + | 0.830364i | ||||
\(325\) | −6.99638 | + | 1.39167i | −0.388089 | + | 0.0771958i | ||||
\(326\) | 16.4908 | − | 18.3631i | 0.913343 | − | 1.01704i | ||||
\(327\) | −2.53882 | + | 33.1587i | −0.140397 | + | 1.83368i | ||||
\(328\) | −14.8928 | + | 18.0500i | −0.822315 | + | 0.996642i | ||||
\(329\) | −15.9947 | + | 2.10574i | −0.881814 | + | 0.116093i | ||||
\(330\) | 26.1505 | + | 0.595056i | 1.43954 | + | 0.0327568i | ||||
\(331\) | 6.91070 | + | 14.0135i | 0.379846 | + | 0.770252i | 0.999898 | − | 0.0143090i | \(-0.00455484\pi\) |
−0.620051 | + | 0.784561i | \(0.712888\pi\) | |||||||
\(332\) | −31.8204 | − | 7.11292i | −1.74637 | − | 0.390372i | ||||
\(333\) | −5.58158 | − | 11.9734i | −0.305869 | − | 0.656139i | ||||
\(334\) | 10.7922 | − | 25.2102i | 0.590521 | − | 1.37944i | ||||
\(335\) | 12.1738 | + | 45.4332i | 0.665126 | + | 2.48228i | ||||
\(336\) | 17.1666 | − | 26.1047i | 0.936513 | − | 1.42413i | ||||
\(337\) | −0.644486 | + | 2.40525i | −0.0351074 | + | 0.131023i | −0.981255 | − | 0.192712i | \(-0.938272\pi\) |
0.946148 | + | 0.323734i | \(0.104938\pi\) | |||||||
\(338\) | −13.0099 | − | 10.2287i | −0.707646 | − | 0.556366i | ||||
\(339\) | −6.67596 | − | 0.953501i | −0.362588 | − | 0.0517871i | ||||
\(340\) | 3.24716 | + | 6.99553i | 0.176102 | + | 0.379386i | ||||
\(341\) | 13.6695 | + | 9.13364i | 0.740243 | + | 0.494615i | ||||
\(342\) | −14.0377 | + | 4.24308i | −0.759074 | + | 0.229440i | ||||
\(343\) | 26.3995 | + | 10.9350i | 1.42544 | + | 0.590436i | ||||
\(344\) | 18.8404 | + | 7.14761i | 1.01581 | + | 0.385373i | ||||
\(345\) | −11.5784 | + | 16.9236i | −0.623361 | + | 0.911133i | ||||
\(346\) | −9.61090 | + | 18.9235i | −0.516685 | + | 1.01733i | ||||
\(347\) | −25.0592 | + | 21.9763i | −1.34525 | + | 1.17975i | −0.378034 | + | 0.925792i | \(0.623400\pi\) |
−0.967215 | + | 0.253960i | \(0.918267\pi\) | |||||||
\(348\) | 19.1394 | − | 15.6494i | 1.02598 | − | 0.838898i | ||||
\(349\) | 13.9588 | − | 0.914906i | 0.747196 | − | 0.0489738i | 0.312952 | − | 0.949769i | \(-0.398682\pi\) |
0.434244 | + | 0.900795i | \(0.357016\pi\) | |||||||
\(350\) | 39.9318 | + | 0.470584i | 2.13444 | + | 0.0251538i | ||||
\(351\) | 3.75448 | + | 4.57649i | 0.200399 | + | 0.244275i | ||||
\(352\) | 2.46603 | + | 17.8310i | 0.131440 | + | 0.950394i | ||||
\(353\) | −20.6282 | − | 11.9097i | −1.09793 | − | 0.633890i | −0.162253 | − | 0.986749i | \(-0.551876\pi\) |
−0.935676 | + | 0.352860i | \(0.885209\pi\) | |||||||
\(354\) | 15.7127 | − | 30.1150i | 0.835119 | − | 1.60060i | ||||
\(355\) | −8.17216 | + | 16.5715i | −0.433733 | + | 0.879524i | ||||
\(356\) | −12.5280 | + | 15.5536i | −0.663981 | + | 0.824341i | ||||
\(357\) | 6.27661 | + | 6.41581i | 0.332193 | + | 0.339561i | ||||
\(358\) | 0.315201 | + | 5.86777i | 0.0166589 | + | 0.310121i | ||||
\(359\) | 5.79989 | − | 2.40239i | 0.306106 | − | 0.126793i | −0.224342 | − | 0.974510i | \(-0.572023\pi\) |
0.530449 | + | 0.847717i | \(0.322023\pi\) | |||||||
\(360\) | −3.94713 | − | 28.2005i | −0.208032 | − | 1.48630i | ||||
\(361\) | 6.51530 | + | 2.69872i | 0.342910 | + | 0.142038i | ||||
\(362\) | −17.2218 | − | 6.07328i | −0.905160 | − | 0.319204i | ||||
\(363\) | 0.771440 | − | 1.30296i | 0.0404901 | − | 0.0683878i | ||||
\(364\) | −6.59066 | − | 7.88245i | −0.345445 | − | 0.413152i | ||||
\(365\) | −16.7166 | + | 5.67450i | −0.874984 | + | 0.297017i | ||||
\(366\) | −2.96327 | + | 1.37843i | −0.154893 | + | 0.0720516i | ||||
\(367\) | −3.08941 | + | 0.827805i | −0.161266 | + | 0.0432111i | −0.338549 | − | 0.940949i | \(-0.609936\pi\) |
0.177283 | + | 0.984160i | \(0.443269\pi\) | |||||||
\(368\) | −12.7681 | − | 6.00839i | −0.665581 | − | 0.313209i | ||||
\(369\) | 8.99309 | + | 23.1337i | 0.468162 | + | 1.20429i | ||||
\(370\) | 19.2121 | + | 8.22448i | 0.998791 | + | 0.427570i | ||||
\(371\) | 10.8746 | − | 12.4001i | 0.564581 | − | 0.643781i | ||||
\(372\) | 7.41574 | − | 16.2884i | 0.384488 | − | 0.844513i | ||||
\(373\) | −0.906813 | − | 0.0594356i | −0.0469530 | − | 0.00307746i | 0.0419085 | − | 0.999121i | \(-0.486656\pi\) |
−0.0888615 | + | 0.996044i | \(0.528323\pi\) | |||||||
\(374\) | −5.15573 | − | 0.398991i | −0.266597 | − | 0.0206314i | ||||
\(375\) | 5.56671 | − | 4.77490i | 0.287464 | − | 0.246575i | ||||
\(376\) | −8.57855 | − | 5.36579i | −0.442405 | − | 0.276720i | ||||
\(377\) | −3.11137 | − | 7.51151i | −0.160244 | − | 0.386863i | ||||
\(378\) | −15.2708 | − | 29.4104i | −0.785444 | − | 1.51271i | ||||
\(379\) | −22.7670 | + | 4.52864i | −1.16946 | + | 0.232620i | −0.741358 | − | 0.671109i | \(-0.765818\pi\) |
−0.428104 | + | 0.903730i | \(0.640818\pi\) | |||||||
\(380\) | 12.0700 | − | 19.8124i | 0.619179 | − | 1.01636i | ||||
\(381\) | −24.9145 | + | 3.00248i | −1.27641 | + | 0.153822i | ||||
\(382\) | −7.82762 | − | 2.19659i | −0.400496 | − | 0.112387i | ||||
\(383\) | −6.56733 | − | 11.3750i | −0.335575 | − | 0.581233i | 0.648020 | − | 0.761623i | \(-0.275597\pi\) |
−0.983595 | + | 0.180390i | \(0.942264\pi\) | |||||||
\(384\) | 18.7251 | − | 5.77682i | 0.955560 | − | 0.294797i | ||||
\(385\) | −24.0782 | + | 41.7047i | −1.22714 | + | 2.12547i | ||||
\(386\) | 23.9895 | − | 23.4307i | 1.22103 | − | 1.19259i | ||||
\(387\) | 16.3743 | − | 13.7364i | 0.832353 | − | 0.698261i | ||||
\(388\) | 4.43561 | + | 0.104559i | 0.225184 | + | 0.00530819i | ||||
\(389\) | 1.03060 | − | 3.03605i | 0.0522536 | − | 0.153934i | −0.917670 | − | 0.397343i | \(-0.869932\pi\) |
0.969924 | + | 0.243409i | \(0.0782657\pi\) | |||||||
\(390\) | −9.25411 | − | 1.43320i | −0.468600 | − | 0.0725728i | ||||
\(391\) | 2.46778 | − | 3.21608i | 0.124801 | − | 0.162644i | ||||
\(392\) | 17.6941 | + | 33.3136i | 0.893687 | + | 1.68259i | ||||
\(393\) | 20.7175 | + | 7.28700i | 1.04506 | + | 0.367580i | ||||
\(394\) | −2.79968 | − | 5.84999i | −0.141046 | − | 0.294718i | ||||
\(395\) | 25.6846 | − | 38.4396i | 1.29233 | − | 1.93411i | ||||
\(396\) | 17.7815 | + | 6.95313i | 0.893554 | + | 0.349408i | ||||
\(397\) | 16.9184 | + | 3.36528i | 0.849112 | + | 0.168899i | 0.600421 | − | 0.799684i | \(-0.295000\pi\) |
0.248691 | + | 0.968583i | \(0.420000\pi\) | |||||||
\(398\) | −23.3473 | + | 17.4818i | −1.17029 | + | 0.876281i | ||||
\(399\) | 5.55727 | − | 26.4206i | 0.278212 | − | 1.32268i | ||||
\(400\) | 19.1306 | + | 16.1671i | 0.956532 | + | 0.808353i | ||||
\(401\) | 0.355229 | − | 1.32573i | 0.0177393 | − | 0.0662038i | −0.956489 | − | 0.291769i | \(-0.905756\pi\) |
0.974228 | + | 0.225565i | \(0.0724228\pi\) | |||||||
\(402\) | −3.02421 | + | 34.1988i | −0.150834 | + | 1.70568i | ||||
\(403\) | −4.42506 | − | 3.88067i | −0.220428 | − | 0.193310i | ||||
\(404\) | −11.4746 | + | 2.00257i | −0.570884 | + | 0.0996314i | ||||
\(405\) | −28.1466 | − | 10.9532i | −1.39861 | − | 0.544269i | ||||
\(406\) | 8.35301 | + | 44.7427i | 0.414553 | + | 2.22054i | ||||
\(407\) | −11.1167 | + | 8.53018i | −0.551037 | + | 0.422825i | ||||
\(408\) | 0.475570 | + | 5.60929i | 0.0235442 | + | 0.277701i | ||||
\(409\) | −1.26003 | − | 0.966858i | −0.0623046 | − | 0.0478080i | 0.577140 | − | 0.816645i | \(-0.304169\pi\) |
−0.639444 | + | 0.768837i | \(0.720836\pi\) | |||||||
\(410\) | −35.0084 | − | 17.7801i | −1.72894 | − | 0.878098i | ||||
\(411\) | 4.68505 | + | 4.78896i | 0.231096 | + | 0.236222i | ||||
\(412\) | −14.4025 | − | 2.24259i | −0.709559 | − | 0.110484i | ||||
\(413\) | 34.7429 | + | 51.9964i | 1.70959 | + | 2.55858i | ||||
\(414\) | −12.1746 | + | 8.70592i | −0.598350 | + | 0.427873i | ||||
\(415\) | − | 54.7100i | − | 2.68561i | ||||||
\(416\) | −0.0420752 | − | 6.44419i | −0.00206291 | − | 0.315953i | ||||
\(417\) | −36.8731 | + | 2.01094i | −1.80568 | + | 0.0984762i | ||||
\(418\) | 7.61830 | + | 13.5619i | 0.372623 | + | 0.663334i | ||||
\(419\) | 10.4285 | − | 21.1469i | 0.509465 | − | 1.03309i | −0.478452 | − | 0.878114i | \(-0.658802\pi\) |
0.987918 | − | 0.154980i | \(-0.0495313\pi\) | |||||||
\(420\) | 49.0305 | + | 18.5552i | 2.39244 | + | 0.905400i | ||||
\(421\) | 16.6353 | + | 5.64692i | 0.810754 | + | 0.275214i | 0.695872 | − | 0.718165i | \(-0.255018\pi\) |
0.114881 | + | 0.993379i | \(0.463351\pi\) | |||||||
\(422\) | 4.16201 | + | 6.39065i | 0.202603 | + | 0.311092i | ||||
\(423\) | −9.40985 | + | 5.16099i | −0.457523 | + | 0.250936i | ||||
\(424\) | 10.2107 | − | 1.65824i | 0.495875 | − | 0.0805314i | ||||
\(425\) | −5.70849 | + | 4.38028i | −0.276902 | + | 0.212475i | ||||
\(426\) | −9.75096 | + | 9.31707i | −0.472436 | + | 0.451413i | ||||
\(427\) | 0.393520 | − | 6.00396i | 0.0190438 | − | 0.290552i | ||||
\(428\) | −13.2124 | − | 1.17926i | −0.638644 | − | 0.0570015i | ||||
\(429\) | 3.87670 | − | 4.93910i | 0.187169 | − | 0.238462i | ||||
\(430\) | −4.80799 | + | 33.4678i | −0.231862 | + | 1.61396i | ||||
\(431\) | 17.7001 | + | 17.7001i | 0.852586 | + | 0.852586i | 0.990451 | − | 0.137865i | \(-0.0440240\pi\) |
−0.137865 | + | 0.990451i | \(0.544024\pi\) | |||||||
\(432\) | 4.35181 | − | 20.3239i | 0.209376 | − | 0.977835i | ||||
\(433\) | 15.5751 | − | 15.5751i | 0.748491 | − | 0.748491i | −0.225705 | − | 0.974196i | \(-0.572469\pi\) |
0.974196 | + | 0.225705i | \(0.0724685\pi\) | |||||||
\(434\) | 19.7487 | + | 26.3748i | 0.947968 | + | 1.26603i | ||||
\(435\) | 32.6320 | + | 25.6128i | 1.56458 | + | 1.22804i | ||||
\(436\) | −11.4831 | − | 36.6433i | −0.549939 | − | 1.75490i | ||||
\(437\) | −12.1679 | − | 0.797528i | −0.582071 | − | 0.0381509i | ||||
\(438\) | −12.8822 | − | 0.293134i | −0.615534 | − | 0.0140065i | ||||
\(439\) | 4.97898 | + | 6.48873i | 0.237634 | + | 0.309690i | 0.896912 | − | 0.442209i | \(-0.145805\pi\) |
−0.659279 | + | 0.751899i | \(0.729138\pi\) | |||||||
\(440\) | −28.2958 | + | 10.5650i | −1.34895 | + | 0.503666i | ||||
\(441\) | 39.9996 | + | 0.877488i | 1.90474 | + | 0.0417852i | ||||
\(442\) | 1.81134 | + | 0.382541i | 0.0861567 | + | 0.0181956i | ||||
\(443\) | 0.415795 | − | 1.22489i | 0.0197550 | − | 0.0581964i | −0.936605 | − | 0.350386i | \(-0.886050\pi\) |
0.956360 | + | 0.292189i | \(0.0943838\pi\) | |||||||
\(444\) | 11.1146 | + | 10.4477i | 0.527473 | + | 0.495828i | ||||
\(445\) | −30.0550 | − | 14.8215i | −1.42475 | − | 0.702607i | ||||
\(446\) | 3.48417 | − | 12.4160i | 0.164980 | − | 0.587913i | ||||
\(447\) | 1.45524 | + | 26.6836i | 0.0688305 | + | 1.26209i | ||||
\(448\) | −7.22406 | + | 35.3460i | −0.341305 | + | 1.66994i | ||||
\(449\) | −2.62728 | −0.123989 | −0.0619946 | − | 0.998076i | \(-0.519746\pi\) | ||||
−0.0619946 | + | 0.998076i | \(0.519746\pi\) | |||||||
\(450\) | 24.8729 | − | 9.33332i | 1.17252 | − | 0.439977i | ||||
\(451\) | 21.8900 | − | 14.6264i | 1.03076 | − | 0.688731i | ||||
\(452\) | 7.56704 | − | 1.83760i | 0.355923 | − | 0.0864334i | ||||
\(453\) | 1.43070 | − | 1.39966i | 0.0672201 | − | 0.0657616i | ||||
\(454\) | 1.20815 | + | 3.70186i | 0.0567015 | + | 0.173737i | ||||
\(455\) | 10.4952 | − | 13.6776i | 0.492022 | − | 0.641215i | ||||
\(456\) | 13.2347 | − | 10.5637i | 0.619773 | − | 0.494689i | ||||
\(457\) | −2.18627 | − | 2.84921i | −0.102270 | − | 0.133280i | 0.739415 | − | 0.673250i | \(-0.235102\pi\) |
−0.841684 | + | 0.539970i | \(0.818436\pi\) | |||||||
\(458\) | −8.60308 | − | 5.89621i | −0.401995 | − | 0.275512i | ||||
\(459\) | 5.43824 | + | 2.46519i | 0.253835 | + | 0.115065i | ||||
\(460\) | 5.16522 | − | 23.1072i | 0.240830 | − | 1.07738i | ||||
\(461\) | −4.07468 | + | 4.64628i | −0.189777 | + | 0.216399i | −0.838902 | − | 0.544283i | \(-0.816802\pi\) |
0.649125 | + | 0.760682i | \(0.275135\pi\) | |||||||
\(462\) | −26.9477 | + | 22.5689i | −1.25372 | + | 1.05000i | ||||
\(463\) | 15.6865 | + | 4.20318i | 0.729012 | + | 0.195338i | 0.604189 | − | 0.796841i | \(-0.293497\pi\) |
0.124823 | + | 0.992179i | \(0.460164\pi\) | |||||||
\(464\) | −13.8187 | + | 24.9802i | −0.641515 | + | 1.15968i | ||||
\(465\) | 29.3869 | + | 6.18121i | 1.36279 | + | 0.286647i | ||||
\(466\) | −3.54449 | + | 24.6727i | −0.164195 | + | 1.14294i | ||||
\(467\) | −3.61351 | + | 18.1664i | −0.167213 | + | 0.840639i | 0.802549 | + | 0.596587i | \(0.203477\pi\) |
−0.969762 | + | 0.244052i | \(0.921523\pi\) | |||||||
\(468\) | −5.98649 | − | 3.29887i | −0.276725 | − | 0.152490i | ||||
\(469\) | −52.5545 | − | 35.1158i | −2.42674 | − | 1.62150i | ||||
\(470\) | 5.64648 | − | 16.0116i | 0.260453 | − | 0.738560i | ||||
\(471\) | 2.27952 | − | 6.48087i | 0.105035 | − | 0.298623i | ||||
\(472\) | −3.94703 | + | 39.0234i | −0.181677 | + | 1.79620i | ||||
\(473\) | −17.9856 | − | 13.8009i | −0.826980 | − | 0.634564i | ||||
\(474\) | 27.2319 | − | 19.9281i | 1.25080 | − | 0.915329i | ||||
\(475\) | 20.4956 | + | 6.95731i | 0.940402 | + | 0.319223i | ||||
\(476\) | −9.47891 | − | 4.19065i | −0.434465 | − | 0.192078i | ||||
\(477\) | 3.75384 | − | 10.3098i | 0.171877 | − | 0.472055i | ||||
\(478\) | 26.3828 | + | 0.310913i | 1.20672 | + | 0.0142208i | ||||
\(479\) | −16.4299 | − | 9.48582i | −0.750702 | − | 0.433418i | 0.0752452 | − | 0.997165i | \(-0.476026\pi\) |
−0.825948 | + | 0.563747i | \(0.809359\pi\) | |||||||
\(480\) | 16.3137 | + | 28.5481i | 0.744617 | + | 1.30303i | ||||
\(481\) | 4.34441 | − | 2.50824i | 0.198088 | − | 0.114366i | ||||
\(482\) | 0.0401203 | − | 0.0225373i | 0.00182743 | − | 0.00102655i | ||||
\(483\) | −3.29682 | − | 27.3570i | −0.150011 | − | 1.24479i | ||||
\(484\) | −0.269008 | + | 1.72764i | −0.0122276 | + | 0.0785291i | ||||
\(485\) | 1.45239 | + | 7.30165i | 0.0659496 | + | 0.331551i | ||||
\(486\) | −16.5576 | − | 14.5549i | −0.751068 | − | 0.660224i | ||||
\(487\) | −13.6035 | + | 5.63477i | −0.616435 | + | 0.255336i | −0.668977 | − | 0.743283i | \(-0.733268\pi\) |
0.0525423 | + | 0.998619i | \(0.483268\pi\) | |||||||
\(488\) | 2.58695 | − | 2.74756i | 0.117106 | − | 0.124376i | ||||
\(489\) | 19.6802 | + | 22.9437i | 0.889970 | + | 1.03755i | ||||
\(490\) | −48.0748 | + | 41.1684i | −2.17180 | + | 1.85980i | ||||
\(491\) | 1.90149 | − | 29.0111i | 0.0858129 | − | 1.30925i | −0.710212 | − | 0.703988i | \(-0.751401\pi\) |
0.796025 | − | 0.605264i | \(-0.206933\pi\) | |||||||
\(492\) | −19.5538 | − | 20.9533i | −0.881555 | − | 0.944648i | ||||
\(493\) | −6.16584 | − | 5.40730i | −0.277696 | − | 0.243533i | ||||
\(494\) | −2.07032 | − | 5.16968i | −0.0931482 | − | 0.232595i | ||||
\(495\) | −4.87714 | + | 31.6626i | −0.219211 | + | 1.42313i | ||||
\(496\) | −0.973753 | + | 20.6428i | −0.0437228 | + | 0.926889i | ||||
\(497\) | −6.42630 | − | 23.9833i | −0.288259 | − | 1.07580i | ||||
\(498\) | 13.6932 | − | 37.5126i | 0.613606 | − | 1.68098i | ||||
\(499\) | −1.04087 | − | 3.06631i | −0.0465959 | − | 0.137267i | 0.921142 | − | 0.389228i | \(-0.127258\pi\) |
−0.967738 | + | 0.251961i | \(0.918925\pi\) | |||||||
\(500\) | −3.92352 | + | 7.50488i | −0.175465 | + | 0.335628i | ||||
\(501\) | 28.9006 | + | 17.1111i | 1.29118 | + | 0.764467i | ||||
\(502\) | 14.0128 | + | 29.2799i | 0.625420 | + | 1.30683i | ||||
\(503\) | 6.41514 | − | 15.4875i | 0.286037 | − | 0.690555i | −0.713916 | − | 0.700231i | \(-0.753080\pi\) |
0.999953 | + | 0.00967657i | \(0.00308020\pi\) | |||||||
\(504\) | 28.9743 | + | 24.9943i | 1.29062 | + | 1.11333i | ||||
\(505\) | −7.47939 | − | 18.0569i | −0.332829 | − | 0.803520i | ||||
\(506\) | 11.8117 | + | 10.6074i | 0.525096 | + | 0.471559i | ||||
\(507\) | 14.4885 | − | 14.1742i | 0.643458 | − | 0.629497i | ||||
\(508\) | 25.4293 | − | 13.8931i | 1.12824 | − | 0.616406i | ||||
\(509\) | −11.4290 | − | 5.63615i | −0.506580 | − | 0.249818i | 0.170994 | − | 0.985272i | \(-0.445302\pi\) |
−0.677574 | + | 0.735454i | \(0.736969\pi\) | |||||||
\(510\) | −9.01123 | + | 2.83197i | −0.399024 | + | 0.125402i | ||||
\(511\) | 11.8613 | − | 20.5444i | 0.524713 | − | 0.908830i | ||||
\(512\) | −17.6038 | + | 14.2164i | −0.777987 | + | 0.628280i | ||||
\(513\) | −2.92263 | − | 17.7215i | −0.129037 | − | 0.782423i | ||||
\(514\) | −9.22584 | + | 9.01092i | −0.406934 | + | 0.397455i | ||||
\(515\) | −1.59960 | − | 24.4051i | −0.0704867 | − | 1.07542i | ||||
\(516\) | −11.6732 | + | 21.7442i | −0.513884 | + | 0.957237i | ||||
\(517\) | 7.50580 | + | 8.55872i | 0.330105 | + | 0.376412i | ||||
\(518\) | −26.6975 | + | 8.71311i | −1.17302 | + | 0.382832i | ||||
\(519\) | −21.4538 | − | 14.6778i | −0.941717 | − | 0.644285i | ||||
\(520\) | 10.5371 | − | 2.42772i | 0.462081 | − | 0.106463i | ||||
\(521\) | 3.54584 | − | 8.56042i | 0.155346 | − | 0.375039i | −0.826976 | − | 0.562237i | \(-0.809941\pi\) |
0.982322 | + | 0.187198i | \(0.0599407\pi\) | |||||||
\(522\) | 15.9640 | + | 25.7291i | 0.698724 | + | 1.12613i | ||||
\(523\) | 5.80135 | − | 8.68233i | 0.253675 | − | 0.379652i | −0.682673 | − | 0.730724i | \(-0.739183\pi\) |
0.936348 | + | 0.351072i | \(0.114183\pi\) | |||||||
\(524\) | −25.3369 | + | 1.06177i | −1.10685 | + | 0.0463837i | ||||
\(525\) | −6.91540 | + | 48.4183i | −0.301813 | + | 2.11315i | ||||
\(526\) | −0.882782 | − | 7.37606i | −0.0384911 | − | 0.321611i | ||||
\(527\) | −5.73446 | − | 1.53654i | −0.249797 | − | 0.0669329i | ||||
\(528\) | −22.0457 | + | 0.161956i | −0.959414 | + | 0.00704824i | ||||
\(529\) | 10.1951 | − | 2.73177i | 0.443266 | − | 0.118773i | ||||
\(530\) | 6.45291 | + | 16.1132i | 0.280296 | + | 0.699912i | ||||
\(531\) | 34.0753 | + | 23.8658i | 1.47874 | + | 1.03569i | ||||
\(532\) | 5.35977 | + | 30.7113i | 0.232376 | + | 1.33150i | ||||
\(533\) | −8.45315 | + | 4.16863i | −0.366146 | + | 0.180563i | ||||
\(534\) | −16.8980 | − | 17.6849i | −0.731248 | − | 0.765302i | ||||
\(535\) | −2.90519 | − | 22.0671i | −0.125602 | − | 0.954044i | ||||
\(536\) | −11.4082 | − | 37.9665i | −0.492758 | − | 1.63990i | ||||
\(537\) | −7.17588 | − | 0.549428i | −0.309662 | − | 0.0237096i | ||||
\(538\) | 1.01272 | + | 18.8528i | 0.0436616 | + | 0.812803i | ||||
\(539\) | −8.27920 | − | 41.6224i | −0.356610 | − | 1.79280i | ||||
\(540\) | 34.8737 | − | 0.313197i | 1.50072 | − | 0.0134779i | ||||
\(541\) | −8.49012 | − | 12.7064i | −0.365019 | − | 0.546289i | 0.602815 | − | 0.797881i | \(-0.294046\pi\) |
−0.967833 | + | 0.251592i | \(0.919046\pi\) | |||||||
\(542\) | 14.6397 | + | 8.68382i | 0.628827 | + | 0.373002i | ||||
\(543\) | 10.1114 | − | 19.9493i | 0.433921 | − | 0.856106i | ||||
\(544\) | −2.91301 | − | 5.81104i | −0.124894 | − | 0.249146i | ||||
\(545\) | 55.8007 | − | 32.2165i | 2.39024 | − | 1.38001i | ||||
\(546\) | 10.6195 | − | 6.75141i | 0.454471 | − | 0.288934i | ||||
\(547\) | 19.0181 | − | 1.24651i | 0.813155 | − | 0.0532970i | 0.346850 | − | 0.937921i | \(-0.387251\pi\) |
0.466306 | + | 0.884624i | \(0.345585\pi\) | |||||||
\(548\) | −7.07534 | − | 3.12803i | −0.302244 | − | 0.133623i | ||||
\(549\) | −1.20319 | − | 3.81758i | −0.0513507 | − | 0.162930i | ||||
\(550\) | −15.3782 | − | 23.6128i | −0.655730 | − | 1.00686i | ||||
\(551\) | −3.21998 | + | 24.4581i | −0.137176 | + | 1.04195i | ||||
\(552\) | 9.32502 | − | 14.5509i | 0.396899 | − | 0.619329i | ||||
\(553\) | 8.10895 | + | 61.5936i | 0.344828 | + | 2.61923i | ||||
\(554\) | 18.5215 | + | 21.6287i | 0.786904 | + | 0.918914i | ||||
\(555\) | −13.0400 | + | 22.0245i | −0.553517 | + | 0.934889i | ||||
\(556\) | 38.6770 | − | 17.9530i | 1.64027 | − | 0.761376i | ||||
\(557\) | −6.56140 | + | 32.9864i | −0.278015 | + | 1.39768i | 0.549152 | + | 0.835723i | \(0.314951\pi\) |
−0.827167 | + | 0.561956i | \(0.810049\pi\) | |||||||
\(558\) | 18.6024 | + | 11.5934i | 0.787504 | + | 0.490787i | ||||
\(559\) | 5.73895 | + | 5.73895i | 0.242732 | + | 0.242732i | ||||
\(560\) | −60.5240 | + | 1.10851i | −2.55760 | + | 0.0468432i | ||||
\(561\) | 1.30362 | − | 6.19772i | 0.0550389 | − | 0.261668i | ||||
\(562\) | 29.5242 | − | 3.53352i | 1.24540 | − | 0.149053i | ||||
\(563\) | 0.775652 | + | 2.28500i | 0.0326898 | + | 0.0963012i | 0.962050 | − | 0.272873i | \(-0.0879739\pi\) |
−0.929360 | + | 0.369174i | \(0.879641\pi\) | |||||||
\(564\) | 7.87907 | − | 9.56531i | 0.331769 | − | 0.402772i | ||||
\(565\) | 5.77893 | + | 11.7185i | 0.243121 | + | 0.493001i | ||||
\(566\) | −8.90762 | − | 6.10492i | −0.374415 | − | 0.256609i | ||||
\(567\) | 38.1419 | − | 13.8724i | 1.60181 | − | 0.582586i | ||||
\(568\) | 6.46434 | − | 14.1680i | 0.271238 | − | 0.594474i | ||||
\(569\) | 28.9107 | + | 3.80616i | 1.21200 | + | 0.159563i | 0.709305 | − | 0.704902i | \(-0.249009\pi\) |
0.502694 | + | 0.864465i | \(0.332342\pi\) | |||||||
\(570\) | 22.1426 | + | 17.8054i | 0.927452 | + | 0.745785i | ||||
\(571\) | −19.2264 | − | 21.9235i | −0.804598 | − | 0.917468i | 0.193374 | − | 0.981125i | \(-0.438057\pi\) |
−0.997972 | + | 0.0636572i | \(0.979724\pi\) | |||||||
\(572\) | −2.04099 | + | 6.95694i | −0.0853381 | + | 0.290884i | ||||
\(573\) | 3.91110 | − | 9.15687i | 0.163388 | − | 0.382534i | ||||
\(574\) | 51.1234 | − | 13.0548i | 2.13385 | − | 0.544896i | ||||
\(575\) | 22.0901 | 0.921222 | ||||||||
\(576\) | 4.04052 | + | 23.6574i | 0.168355 | + | 0.985726i | ||||
\(577\) | −9.18518 | −0.382384 | −0.191192 | − | 0.981553i | \(-0.561235\pi\) | ||||
−0.191192 | + | 0.981553i | \(0.561235\pi\) | |||||||
\(578\) | −21.4848 | + | 5.48633i | −0.893651 | + | 0.228201i | ||||
\(579\) | 24.6430 | + | 32.8552i | 1.02413 | + | 1.36542i | ||||
\(580\) | −45.9636 | − | 13.4846i | −1.90853 | − | 0.559916i | ||||
\(581\) | 48.4746 | + | 55.2747i | 2.01106 | + | 2.29318i | ||||
\(582\) | −0.831657 | + | 5.36998i | −0.0344733 | + | 0.222593i | ||||
\(583\) | −11.5384 | − | 1.51906i | −0.477872 | − | 0.0629130i | ||||
\(584\) | 13.9390 | − | 5.20448i | 0.576798 | − | 0.215363i | ||||
\(585\) | 3.21066 | − | 11.0105i | 0.132745 | − | 0.455227i | ||||
\(586\) | −34.3403 | − | 23.5355i | −1.41858 | − | 0.972241i | ||||
\(587\) | −1.92909 | − | 3.91181i | −0.0796222 | − | 0.161458i | 0.853421 | − | 0.521222i | \(-0.174524\pi\) |
−0.933043 | + | 0.359764i | \(0.882857\pi\) | |||||||
\(588\) | −43.2670 | + | 16.1952i | −1.78430 | + | 0.667878i | ||||
\(589\) | 5.74032 | + | 16.9104i | 0.236526 | + | 0.696782i | ||||
\(590\) | −65.3462 | + | 7.82077i | −2.69026 | + | 0.321976i | ||||
\(591\) | 7.54899 | − | 2.47055i | 0.310524 | − | 0.101625i | ||||
\(592\) | −16.3939 | − | 6.44144i | −0.673784 | − | 0.264742i | ||||
\(593\) | −19.8062 | − | 19.8062i | −0.813342 | − | 0.813342i | 0.171791 | − | 0.985133i | \(-0.445045\pi\) |
−0.985133 | + | 0.171791i | \(0.945045\pi\) | |||||||
\(594\) | −11.2688 | + | 20.4892i | −0.462364 | + | 0.840681i | ||||
\(595\) | 3.39261 | − | 17.0558i | 0.139083 | − | 0.699220i | ||||
\(596\) | −12.9919 | − | 27.9891i | −0.532168 | − | 1.14648i | ||||
\(597\) | −17.5206 | − | 31.1302i | −0.717072 | − | 1.27407i | ||||
\(598\) | −3.69681 | − | 4.31698i | −0.151174 | − | 0.176534i | ||||
\(599\) | −3.89826 | − | 29.6102i | −0.159279 | − | 1.20984i | −0.865154 | − | 0.501506i | \(-0.832780\pi\) |
0.705876 | − | 0.708336i | \(-0.250554\pi\) | |||||||
\(600\) | −22.6725 | + | 20.6638i | −0.925601 | + | 0.843594i | ||||
\(601\) | −0.476375 | + | 3.61843i | −0.0194317 | + | 0.147599i | −0.998410 | − | 0.0563647i | \(-0.982049\pi\) |
0.978979 | + | 0.203963i | \(0.0653824\pi\) | |||||||
\(602\) | −24.7958 | − | 38.0732i | −1.01060 | − | 1.55175i | ||||
\(603\) | −41.0505 | − | 9.10572i | −1.67170 | − | 0.370814i | ||||
\(604\) | −0.934498 | + | 2.11376i | −0.0380242 | + | 0.0860076i | ||||
\(605\) | −2.92751 | + | 0.191879i | −0.119020 | + | 0.00780098i | ||||
\(606\) | −0.608951 | − | 14.2529i | −0.0247369 | − | 0.578984i | ||||
\(607\) | −19.9969 | + | 11.5452i | −0.811651 | + | 0.468607i | −0.847529 | − | 0.530749i | \(-0.821911\pi\) |
0.0358781 | + | 0.999356i | \(0.488577\pi\) | |||||||
\(608\) | −9.66589 | + | 16.9971i | −0.392004 | + | 0.689325i | ||||
\(609\) | −55.6624 | + | 3.03565i | −2.25556 | + | 0.123011i | ||||
\(610\) | 5.44609 | + | 3.23046i | 0.220506 | + | 0.130798i | ||||
\(611\) | −2.26418 | − | 3.38859i | −0.0915990 | − | 0.137088i | ||||
\(612\) | −6.88746 | − | 0.313611i | −0.278409 | − | 0.0126770i | ||||
\(613\) | −2.84907 | − | 14.3233i | −0.115073 | − | 0.578511i | −0.994698 | − | 0.102842i | \(-0.967206\pi\) |
0.879625 | − | 0.475668i | \(-0.157794\pi\) | |||||||
\(614\) | 2.05980 | + | 38.3452i | 0.0831268 | + | 1.54749i | ||||
\(615\) | 27.1539 | − | 39.6894i | 1.09495 | − | 1.60043i | ||||
\(616\) | 19.2270 | − | 35.7449i | 0.774677 | − | 1.44020i | ||||
\(617\) | −1.47643 | − | 11.2146i | −0.0594387 | − | 0.451482i | −0.995123 | − | 0.0986430i | \(-0.968550\pi\) |
0.935684 | − | 0.352839i | \(-0.114784\pi\) | |||||||
\(618\) | 5.01150 | − | 17.1340i | 0.201592 | − | 0.689233i | ||||
\(619\) | −37.1654 | + | 18.3279i | −1.49380 | + | 0.736662i | −0.991751 | − | 0.128176i | \(-0.959088\pi\) |
−0.502051 | + | 0.864838i | \(0.667421\pi\) | |||||||
\(620\) | −34.1593 | + | 5.96153i | −1.37187 | + | 0.239421i | ||||
\(621\) | −8.63828 | − | 16.1679i | −0.346642 | − | 0.648796i | ||||
\(622\) | 14.0442 | + | 35.0688i | 0.563119 | + | 1.40613i | ||||
\(623\) | 43.4975 | − | 11.6551i | 1.74269 | − | 0.466952i | ||||
\(624\) | 7.83249 | + | 0.972686i | 0.313551 | + | 0.0389386i | ||||
\(625\) | 16.5165 | + | 4.42558i | 0.660659 | + | 0.177023i | ||||
\(626\) | 0.396873 | + | 3.31606i | 0.0158622 | + | 0.132536i | ||||
\(627\) | −17.6798 | + | 7.09708i | −0.706064 | + | 0.283430i | ||||
\(628\) | 0.332144 | + | 7.92592i | 0.0132540 | + | 0.316279i | ||||
\(629\) | 2.81121 | − | 4.20728i | 0.112090 | − | 0.167755i | ||||
\(630\) | −30.3228 | + | 56.5947i | −1.20809 | + | 2.25479i | ||||
\(631\) | −5.47385 | + | 13.2150i | −0.217911 | + | 0.526083i | −0.994598 | − | 0.103804i | \(-0.966899\pi\) |
0.776687 | + | 0.629886i | \(0.216899\pi\) | |||||||
\(632\) | −20.6630 | + | 33.0350i | −0.821932 | + | 1.31406i | ||||
\(633\) | −8.42200 | + | 4.03906i | −0.334744 | + | 0.160538i | ||||
\(634\) | −12.3443 | + | 4.02873i | −0.490254 | + | 0.160001i | ||||
\(635\) | 32.0582 | + | 36.5554i | 1.27219 | + | 1.45066i | ||||
\(636\) | 0.391605 | + | 12.6633i | 0.0155281 | + | 0.502132i | ||||
\(637\) | 0.993665 | + | 15.1604i | 0.0393704 | + | 0.600677i | ||||
\(638\) | 22.9764 | − | 22.4411i | 0.909643 | − | 0.888453i | ||||
\(639\) | −9.76550 | − | 13.3217i | −0.386317 | − | 0.527000i | ||||
\(640\) | −29.7232 | − | 23.6228i | −1.17491 | − | 0.933774i | ||||
\(641\) | −9.20353 | + | 15.9410i | −0.363517 | + | 0.629631i | −0.988537 | − | 0.150978i | \(-0.951758\pi\) |
0.625020 | + | 0.780609i | \(0.285091\pi\) | |||||||
\(642\) | 3.53112 | − | 15.8577i | 0.139362 | − | 0.625854i | ||||
\(643\) | −1.76785 | − | 0.871809i | −0.0697174 | − | 0.0343808i | 0.407096 | − | 0.913385i | \(-0.366542\pi\) |
−0.476813 | + | 0.879005i | \(0.658208\pi\) | |||||||
\(644\) | 15.2551 | + | 27.9222i | 0.601134 | + | 1.10029i | ||||
\(645\) | −39.8794 | − | 11.1558i | −1.57025 | − | 0.439259i | ||||
\(646\) | −4.17928 | − | 3.75317i | −0.164432 | − | 0.147667i | ||||
\(647\) | −0.871498 | − | 2.10398i | −0.0342621 | − | 0.0827161i | 0.905822 | − | 0.423658i | \(-0.139254\pi\) |
−0.940084 | + | 0.340942i | \(0.889254\pi\) | |||||||
\(648\) | 23.9899 | + | 8.51366i | 0.942414 | + | 0.334448i | ||||
\(649\) | 16.8867 | − | 40.7680i | 0.662860 | − | 1.60028i | ||||
\(650\) | 4.35498 | + | 9.09980i | 0.170816 | + | 0.356923i | ||||
\(651\) | −35.1669 | + | 19.7926i | −1.37830 | + | 0.775734i | ||||
\(652\) | −30.9321 | − | 16.1712i | −1.21139 | − | 0.633312i | ||||
\(653\) | 5.56688 | + | 16.3995i | 0.217849 | + | 0.641762i | 0.999830 | + | 0.0184595i | \(0.00587619\pi\) |
−0.781981 | + | 0.623303i | \(0.785790\pi\) | |||||||
\(654\) | 46.3238 | − | 8.12351i | 1.81140 | − | 0.317654i | ||||
\(655\) | −11.0130 | − | 41.1010i | −0.430313 | − | 1.60595i | ||||
\(656\) | 29.9439 | + | 14.0910i | 1.16911 | + | 0.550160i | ||||
\(657\) | 2.40256 | − | 15.5975i | 0.0937327 | − | 0.608516i | ||||
\(658\) | 8.48195 | + | 21.1798i | 0.330661 | + | 0.825674i | ||||
\(659\) | −20.2759 | − | 17.7815i | −0.789838 | − | 0.692669i | 0.166142 | − | 0.986102i | \(-0.446869\pi\) |
−0.955980 | + | 0.293432i | \(0.905202\pi\) | |||||||
\(660\) | −8.33477 | − | 36.0408i | −0.324431 | − | 1.40289i | ||||
\(661\) | 0.0916699 | − | 1.39861i | 0.00356555 | − | 0.0543997i | −0.995705 | − | 0.0925787i | \(-0.970489\pi\) |
0.999271 | + | 0.0381790i | \(0.0121557\pi\) | |||||||
\(662\) | 16.7839 | − | 14.3727i | 0.652323 | − | 0.558611i | ||||
\(663\) | −0.752322 | + | 2.13891i | −0.0292178 | + | 0.0830685i | ||||
\(664\) | 1.38762 | + | 46.0906i | 0.0538503 | + | 1.78866i | ||||
\(665\) | −48.3283 | + | 20.0182i | −1.87409 | + | 0.776274i | ||||
\(666\) | −14.4535 | + | 11.8377i | −0.560061 | + | 0.458700i | ||||
\(667\) | 4.91187 | + | 24.6936i | 0.190188 | + | 0.956141i | ||||
\(668\) | −38.3203 | − | 5.96679i | −1.48266 | − | 0.230862i | ||||
\(669\) | 14.5244 | + | 6.20367i | 0.561545 | + | 0.239848i | ||||
\(670\) | 57.9949 | − | 32.5783i | 2.24054 | − | 1.25861i | ||||
\(671\) | −3.67685 | + | 2.12283i | −0.141943 | + | 0.0819510i | ||||
\(672\) | −41.7765 | − | 14.3883i | −1.61156 | − | 0.555040i | ||||
\(673\) | 29.8517 | + | 17.2349i | 1.15070 | + | 0.664356i | 0.949058 | − | 0.315103i | \(-0.102039\pi\) |
0.201642 | + | 0.979459i | \(0.435372\pi\) | |||||||
\(674\) | 3.52129 | + | 0.0414974i | 0.135635 | + | 0.00159842i | ||||
\(675\) | 7.38282 | + | 31.6884i | 0.284165 | + | 1.21969i | ||||
\(676\) | −9.46356 | + | 21.4058i | −0.363983 | + | 0.823299i | ||||
\(677\) | 45.8890 | + | 15.5772i | 1.76366 | + | 0.598682i | 0.998955 | − | 0.0457000i | \(-0.0145518\pi\) |
0.764704 | + | 0.644382i | \(0.222885\pi\) | |||||||
\(678\) | 1.02941 | + | 9.48133i | 0.0395342 | + | 0.364128i | ||||
\(679\) | −7.93684 | − | 6.09015i | −0.304588 | − | 0.233719i | ||||
\(680\) | 8.44939 | − | 6.89716i | 0.324019 | − | 0.264494i | ||||
\(681\) | −4.68747 | + | 0.879068i | −0.179624 | + | 0.0336860i | ||||
\(682\) | 7.73233 | − | 21.9264i | 0.296086 | − | 0.839605i | ||||
\(683\) | 6.53270 | + | 4.36501i | 0.249967 | + | 0.167023i | 0.674241 | − | 0.738511i | \(-0.264471\pi\) |
−0.424274 | + | 0.905534i | \(0.639471\pi\) | |||||||
\(684\) | 10.7259 | + | 17.7505i | 0.410115 | + | 0.678706i | ||||
\(685\) | 2.53235 | − | 12.7310i | 0.0967560 | − | 0.486425i | ||||
\(686\) | 5.74639 | − | 39.9999i | 0.219398 | − | 1.52720i | ||||
\(687\) | 8.52710 | − | 9.51083i | 0.325329 | − | 0.362861i | ||||
\(688\) | 3.20165 | − | 28.3170i | 0.122062 | − | 1.07957i | ||||
\(689\) | 4.02448 | + | 1.07836i | 0.153320 | + | 0.0410821i | ||||
\(690\) | 27.2407 | + | 9.94365i | 1.03704 | + | 0.378548i | ||||
\(691\) | −0.716737 | + | 0.817282i | −0.0272660 | + | 0.0310909i | −0.765312 | − | 0.643659i | \(-0.777415\pi\) |
0.738046 | + | 0.674750i | \(0.235749\pi\) | |||||||
\(692\) | 29.2927 | + | 6.54789i | 1.11354 | + | 0.248913i | ||||
\(693\) | −23.1264 | − | 36.3106i | −0.878501 | − | 1.37933i | ||||
\(694\) | 38.8812 | + | 26.6476i | 1.47591 | + | 1.01153i | ||||
\(695\) | 43.5556 | + | 56.7627i | 1.65216 | + | 2.15313i | ||||
\(696\) | −28.1405 | − | 20.7499i | −1.06666 | − | 0.786524i | ||||
\(697\) | −5.78749 | + | 7.54240i | −0.219217 | + | 0.285689i | ||||
\(698\) | −6.13786 | − | 18.8068i | −0.232321 | − | 0.711847i | ||||
\(699\) | −29.3994 | − | 8.22414i | −1.11199 | − | 0.311066i | ||||
\(700\) | −13.3274 | − | 54.8809i | −0.503730 | − | 2.07430i | ||||
\(701\) | 11.4853 | − | 7.67421i | 0.433792 | − | 0.289851i | −0.319438 | − | 0.947607i | \(-0.603494\pi\) |
0.753231 | + | 0.657756i | \(0.228494\pi\) | |||||||
\(702\) | 4.95720 | − | 6.74588i | 0.187098 | − | 0.254607i | ||||
\(703\) | −15.2210 | −0.574070 | ||||||||
\(704\) | 23.5699 | − | 9.61817i | 0.888324 | − | 0.362499i | ||||
\(705\) | 18.5474 | + | 9.40082i | 0.698535 | + | 0.354055i | ||||
\(706\) | −9.10133 | + | 32.4329i | −0.342533 | + | 1.22063i | ||||
\(707\) | 23.5555 | + | 11.6163i | 0.885894 | + | 0.436875i | ||||
\(708\) | −46.7628 | − | 10.9929i | −1.75745 | − | 0.413137i | ||||
\(709\) | −8.79595 | + | 25.9120i | −0.330339 | + | 0.973146i | 0.647187 | + | 0.762331i | \(0.275945\pi\) |
−0.977526 | + | 0.210815i | \(0.932388\pi\) | |||||||
\(710\) | 25.5664 | + | 5.39943i | 0.959492 | + | 0.202637i | ||||
\(711\) | 19.8744 | + | 36.2363i | 0.745347 | + | 1.35897i | ||||
\(712\) | 25.6959 | + | 11.7241i | 0.962993 | + | 0.439380i | ||||
\(713\) | 11.0953 | + | 14.4597i | 0.415523 | + | 0.541520i | ||||
\(714\) | 6.59502 | − | 10.8454i | 0.246812 | − | 0.405879i | ||||
\(715\) | −12.1392 | − | 0.795644i | −0.453979 | − | 0.0297554i | ||||
\(716\) | 7.92999 | − | 2.48505i | 0.296358 | − | 0.0928708i | ||||
\(717\) | −4.56897 | + | 31.9898i | −0.170631 | + | 1.19468i | ||||
\(718\) | −5.32126 | − | 7.10665i | −0.198588 | − | 0.265218i | ||||
\(719\) | −0.708024 | + | 0.708024i | −0.0264048 | + | 0.0264048i | −0.720186 | − | 0.693781i | \(-0.755944\pi\) |
0.693781 | + | 0.720186i | \(0.255944\pi\) | |||||||
\(720\) | −37.2604 | + | 15.2760i | −1.38861 | + | 0.569301i | ||||
\(721\) | 23.2397 | + | 23.2397i | 0.865493 | + | 0.865493i | ||||
\(722\) | 1.41819 | − | 9.87184i | 0.0527795 | − | 0.367392i | ||||
\(723\) | 0.0209954 | + | 0.0523025i | 0.000780828 | + | 0.00194515i | ||||
\(724\) | −2.29590 | + | 25.7232i | −0.0853263 | + | 0.955994i | ||||
\(725\) | 2.92284 | − | 44.5939i | 0.108551 | − | 1.65618i | ||||
\(726\) | −2.05530 | − | 0.601151i | −0.0762795 | − | 0.0223108i | ||||
\(727\) | −6.01873 | + | 4.61834i | −0.223222 | + | 0.171285i | −0.714318 | − | 0.699821i | \(-0.753263\pi\) |
0.491096 | + | 0.871106i | \(0.336596\pi\) | |||||||
\(728\) | −8.49478 | + | 11.7889i | −0.314837 | + | 0.436926i | ||||
\(729\) | 20.3059 | − | 17.7952i | 0.752072 | − | 0.659081i | ||||
\(730\) | 13.6246 | + | 20.9202i | 0.504270 | + | 0.774292i | ||||
\(731\) | 7.75213 | + | 2.63149i | 0.286723 | + | 0.0973293i | ||||
\(732\) | 2.92564 | + | 3.57809i | 0.108135 | + | 0.132250i | ||||
\(733\) | 17.1907 | − | 34.8593i | 0.634953 | − | 1.28756i | −0.306968 | − | 0.951720i | \(-0.599314\pi\) |
0.941920 | − | 0.335837i | \(-0.109019\pi\) | |||||||
\(734\) | 2.21529 | + | 3.94359i | 0.0817678 | + | 0.145561i | ||||
\(735\) | −42.3573 | − | 64.9223i | −1.56237 | − | 2.39469i | ||||
\(736\) | −3.76538 | + | 19.5977i | −0.138794 | + | 0.722381i | ||||
\(737\) | 44.6006i | 1.64288i | ||||||||
\(738\) | 28.5521 | − | 20.4173i | 1.05102 | − | 0.751571i | ||||
\(739\) | 10.6955 | + | 16.0069i | 0.393439 | + | 0.588823i | 0.974321 | − | 0.225165i | \(-0.0722921\pi\) |
−0.580882 | + | 0.813988i | \(0.697292\pi\) | |||||||
\(740\) | 4.54716 | − | 29.2031i | 0.167157 | − | 1.07353i | ||||
\(741\) | 6.60695 | − | 1.69289i | 0.242712 | − | 0.0621899i | ||||
\(742\) | −20.7962 | − | 10.5620i | −0.763453 | − | 0.387744i | ||||
\(743\) | −6.50184 | − | 4.98904i | −0.238529 | − | 0.183030i | 0.482579 | − | 0.875853i | \(-0.339700\pi\) |
−0.721108 | + | 0.692823i | \(0.756367\pi\) | |||||||
\(744\) | −24.9138 | − | 4.46202i | −0.913386 | − | 0.163586i | ||||
\(745\) | 41.0770 | − | 31.5195i | 1.50494 | − | 1.15478i | ||||
\(746\) | 0.235855 | + | 1.26335i | 0.00863527 | + | 0.0462546i | ||||
\(747\) | 43.3798 | + | 22.5886i | 1.58718 | + | 0.826472i | ||||
\(748\) | 1.25729 | + | 7.20422i | 0.0459711 | + | 0.263412i | ||||
\(749\) | 22.4872 | + | 19.7208i | 0.821665 | + | 0.720581i | ||||
\(750\) | −8.49058 | − | 5.95700i | −0.310032 | − | 0.217519i | ||||
\(751\) | −4.44252 | + | 16.5797i | −0.162110 | + | 0.605002i | 0.836281 | + | 0.548301i | \(0.184725\pi\) |
−0.998391 | + | 0.0567017i | \(0.981942\pi\) | |||||||
\(752\) | −4.35078 | + | 13.6322i | −0.158657 | + | 0.497116i | ||||
\(753\) | −37.7836 | + | 12.3654i | −1.37691 | + | 0.450620i | ||||
\(754\) | −9.20393 | + | 6.89164i | −0.335187 | + | 0.250979i | ||||
\(755\) | −3.80337 | − | 0.756538i | −0.138419 | − | 0.0275332i | ||||
\(756\) | −34.9561 | + | 31.2154i | −1.27134 | + | 1.13529i | ||||
\(757\) | 16.1033 | − | 24.1003i | 0.585285 | − | 0.875942i | −0.414127 | − | 0.910219i | \(-0.635913\pi\) |
0.999412 | + | 0.0342776i | \(0.0109130\pi\) | |||||||
\(758\) | 14.1716 | + | 29.6118i | 0.514735 | + | 1.07555i | ||||
\(759\) | −14.7582 | + | 12.6590i | −0.535688 | + | 0.459491i | ||||
\(760\) | −31.3712 | − | 9.60643i | −1.13795 | − | 0.348462i | ||||
\(761\) | 15.5799 | − | 20.3041i | 0.564772 | − | 0.736025i | −0.420449 | − | 0.907316i | \(-0.638127\pi\) |
0.985220 | + | 0.171292i | \(0.0547940\pi\) | |||||||
\(762\) | 12.8318 | + | 33.0884i | 0.464847 | + | 1.19867i | ||||
\(763\) | −27.8318 | + | 81.9900i | −1.00758 | + | 2.96824i | ||||
\(764\) | −0.270952 | + | 11.4943i | −0.00980271 | + | 0.415851i | ||||
\(765\) | −2.00754 | − | 11.3931i | −0.0725826 | − | 0.411919i | ||||
\(766\) | −13.2885 | + | 12.9790i | −0.480134 | + | 0.468949i | ||||
\(767\) | −7.89883 | + | 13.6812i | −0.285210 | + | 0.493999i | ||||
\(768\) | −14.4676 | − | 23.6366i | −0.522055 | − | 0.852912i | ||||
\(769\) | −21.7412 | − | 37.6568i | −0.784007 | − | 1.35794i | −0.929590 | − | 0.368594i | \(-0.879839\pi\) |
0.145583 | − | 0.989346i | \(-0.453494\pi\) | |||||||
\(770\) | 65.5706 | + | 18.4004i | 2.36300 | + | 0.663106i | ||||
\(771\) | −9.47714 | − | 12.6354i | −0.341311 | − | 0.455052i | ||||
\(772\) | −40.4997 | − | 24.6730i | −1.45762 | − | 0.888001i | ||||
\(773\) | 15.1657 | − | 3.01664i | 0.545472 | − | 0.108501i | 0.0853404 | − | 0.996352i | \(-0.472802\pi\) |
0.460132 | + | 0.887851i | \(0.347802\pi\) | |||||||
\(774\) | −24.5516 | − | 17.6304i | −0.882490 | − | 0.633711i | ||||
\(775\) | −12.3802 | − | 29.8884i | −0.444710 | − | 1.07362i | ||||
\(776\) | −1.40876 | − | 6.11445i | −0.0505716 | − | 0.219496i | ||||
\(777\) | −6.33977 | − | 33.8056i | −0.227438 | − | 1.21277i | ||||
\(778\) | −4.52074 | − | 0.349851i | −0.162077 | − | 0.0125428i | ||||
\(779\) | 28.5364 | + | 1.87038i | 1.02242 | + | 0.0670132i | ||||
\(780\) | 1.27421 | + | 13.1819i | 0.0456240 | + | 0.471987i | ||||
\(781\) | −11.5519 | + | 13.1725i | −0.413361 | + | 0.471348i | ||||
\(782\) | −5.27029 | − | 2.25615i | −0.188465 | − | 0.0806797i | ||||
\(783\) | −33.7815 | + | 15.2990i | −1.20725 | + | 0.546743i | ||||
\(784\) | 39.4565 | − | 35.9018i | 1.40916 | − | 1.28221i | ||||
\(785\) | −12.8572 | + | 3.44509i | −0.458895 | + | 0.122960i | ||||
\(786\) | 2.73584 | − | 30.9378i | 0.0975842 | − | 1.10351i | ||||
\(787\) | −26.2740 | + | 8.91883i | −0.936568 | + | 0.317922i | −0.747667 | − | 0.664074i | \(-0.768826\pi\) |
−0.188901 | + | 0.981996i | \(0.560493\pi\) | |||||||
\(788\) | −7.03629 | + | 5.88318i | −0.250658 | + | 0.209580i | ||||
\(789\) | 9.09771 | + | 0.0997782i | 0.323887 | + | 0.00355220i | ||||
\(790\) | −61.6588 | − | 21.7440i | −2.19372 | − | 0.773615i | ||||
\(791\) | −16.2215 | − | 6.71916i | −0.576770 | − | 0.238906i | ||||
\(792\) | 3.30569 | − | 26.7979i | 0.117463 | − | 0.952222i | ||||
\(793\) | 1.40427 | − | 0.581666i | 0.0498670 | − | 0.0206556i | ||||
\(794\) | −1.30855 | − | 24.3599i | −0.0464386 | − | 0.864500i | ||||
\(795\) | −20.5930 | + | 5.27651i | −0.730357 | + | 0.187139i | ||||
\(796\) | 32.1235 | + | 25.8745i | 1.13859 | + | 0.917098i | ||||
\(797\) | −6.07494 | + | 12.3188i | −0.215185 | + | 0.436353i | −0.977524 | − | 0.210826i | \(-0.932385\pi\) |
0.762338 | + | 0.647179i | \(0.224051\pi\) | |||||||
\(798\) | −38.1472 | + | 1.62983i | −1.35040 | + | 0.0576952i | ||||
\(799\) | −3.56006 | − | 2.05540i | −0.125946 | − | 0.0727150i | ||||
\(800\) | 15.4589 | − | 31.8705i | 0.546556 | − | 1.12679i | ||||
\(801\) | 24.1611 | − | 17.7113i | 0.853690 | − | 0.625798i | ||||
\(802\) | −1.94087 | − | 0.0228726i | −0.0685345 | − | 0.000807659i | ||||
\(803\) | −16.7035 | + | 1.09481i | −0.589455 | + | 0.0386349i | ||||
\(804\) | 47.9189 | − | 7.82235i | 1.68997 | − | 0.275873i | ||||
\(805\) | −40.1391 | + | 35.2010i | −1.41472 | + | 1.24067i | ||||
\(806\) | −3.76913 | + | 7.42127i | −0.132762 | + | 0.261403i | ||||
\(807\) | −23.0557 | − | 1.76528i | −0.811599 | − | 0.0621408i | ||||
\(808\) | 6.75901 | + | 15.0223i | 0.237781 | + | 0.528484i | ||||
\(809\) | −21.1433 | − | 8.75782i | −0.743357 | − | 0.307909i | −0.0213294 | − | 0.999773i | \(-0.506790\pi\) |
−0.722028 | + | 0.691864i | \(0.756790\pi\) | |||||||
\(810\) | −5.16000 | + | 42.4002i | −0.181304 | + | 1.48979i | ||||
\(811\) | 10.6719 | + | 7.13073i | 0.374741 | + | 0.250394i | 0.728650 | − | 0.684886i | \(-0.240148\pi\) |
−0.353910 | + | 0.935280i | \(0.615148\pi\) | |||||||
\(812\) | 58.3856 | − | 27.1013i | 2.04893 | − | 0.951068i | ||||
\(813\) | −12.8714 | + | 16.3988i | −0.451420 | + | 0.575130i | ||||
\(814\) | 15.5782 | + | 12.2479i | 0.546016 | + | 0.429289i | ||||
\(815\) | 15.1582 | − | 56.5711i | 0.530968 | − | 1.98160i | ||||
\(816\) | 7.51970 | − | 2.61436i | 0.263242 | − | 0.0915207i | ||||
\(817\) | −6.37363 | − | 23.7867i | −0.222985 | − | 0.832192i | ||||
\(818\) | −0.883941 | + | 2.06486i | −0.0309063 | + | 0.0721961i | ||||
\(819\) | 6.51179 | + | 13.9688i | 0.227540 | + | 0.488111i | ||||
\(820\) | −12.1136 | + | 54.1914i | −0.423024 | + | 1.89245i | ||||
\(821\) | −2.02396 | − | 4.10419i | −0.0706368 | − | 0.143237i | 0.858690 | − | 0.512495i | \(-0.171279\pi\) |
−0.929327 | + | 0.369258i | \(0.879612\pi\) | |||||||
\(822\) | 4.92272 | − | 8.09533i | 0.171700 | − | 0.282357i | ||||
\(823\) | 39.4459 | − | 5.19315i | 1.37500 | − | 0.181022i | 0.593451 | − | 0.804870i | \(-0.297765\pi\) |
0.781546 | + | 0.623848i | \(0.214432\pi\) | |||||||
\(824\) | 1.96658 | + | 20.5196i | 0.0685090 | + | 0.714834i | ||||
\(825\) | 31.1185 | − | 14.9239i | 1.08341 | − | 0.519585i | ||||
\(826\) | 59.0912 | − | 65.8000i | 2.05604 | − | 2.28947i | ||||
\(827\) | 35.9867 | − | 7.15819i | 1.25138 | − | 0.248915i | 0.475454 | − | 0.879741i | \(-0.342284\pi\) |
0.775924 | + | 0.630826i | \(0.217284\pi\) | |||||||
\(828\) | 16.1892 | + | 13.6360i | 0.562612 | + | 0.473883i | ||||
\(829\) | 31.2449 | − | 20.8772i | 1.08518 | − | 0.725095i | 0.121618 | − | 0.992577i | \(-0.461192\pi\) |
0.963563 | + | 0.267482i | \(0.0861916\pi\) | |||||||
\(830\) | −74.9661 | + | 19.1432i | −2.60211 | + | 0.664470i | ||||
\(831\) | −29.2083 | + | 19.0564i | −1.01322 | + | 0.661058i | ||||
\(832\) | −8.81539 | + | 2.31249i | −0.305619 | + | 0.0801713i | ||||
\(833\) | 7.66243 | + | 13.2717i | 0.265487 | + | 0.459838i | ||||
\(834\) | 15.6575 | + | 49.8215i | 0.542174 | + | 1.72518i | ||||
\(835\) | −4.25601 | − | 64.9341i | −0.147285 | − | 2.24714i | ||||
\(836\) | 15.9174 | − | 15.1843i | 0.550516 | − | 0.525159i | ||||
\(837\) | −17.0343 | + | 20.7489i | −0.588792 | + | 0.717188i | ||||
\(838\) | −32.6254 | − | 6.89022i | −1.12702 | − | 0.238019i | ||||
\(839\) | 6.90278 | + | 0.908768i | 0.238310 | + | 0.0313742i | 0.248735 | − | 0.968571i | \(-0.419985\pi\) |
−0.0104249 | + | 0.999946i | \(0.503318\pi\) | |||||||
\(840\) | 8.26920 | − | 73.6763i | 0.285315 | − | 2.54207i | ||||
\(841\) | 21.7476 | − | 2.86313i | 0.749918 | − | 0.0987286i | ||||
\(842\) | 1.91692 | − | 24.7703i | 0.0660614 | − | 0.853639i | ||||
\(843\) | −0.399384 | + | 36.4155i | −0.0137555 | + | 1.25422i | ||||
\(844\) | 7.30045 | − | 7.93907i | 0.251292 | − | 0.273274i | ||||
\(845\) | −38.5163 | − | 7.66138i | −1.32500 | − | 0.263559i | ||||
\(846\) | 10.3643 | + | 11.0879i | 0.356334 | + | 0.381212i | ||||
\(847\) | 2.78771 | − | 2.78771i | 0.0957868 | − | 0.0957868i | ||||
\(848\) | −5.84495 | − | 13.4109i | −0.200716 | − | 0.460532i | ||||
\(849\) | 8.82895 | − | 9.84750i | 0.303009 | − | 0.337965i | ||||
\(850\) | 7.99947 | + | 6.28935i | 0.274379 | + | 0.215723i | ||||
\(851\) | −14.7101 | + | 4.99342i | −0.504257 | + | 0.171172i | ||||
\(852\) | 16.1785 | + | 10.1011i | 0.554268 | + | 0.346059i | ||||
\(853\) | 16.1816 | − | 7.97986i | 0.554046 | − | 0.273225i | −0.143639 | − | 0.989630i | \(-0.545880\pi\) |
0.697685 | + | 0.716405i | \(0.254214\pi\) | |||||||
\(854\) | −8.36458 | + | 1.56158i | −0.286230 | + | 0.0534363i | ||||
\(855\) | −25.1406 | + | 24.0612i | −0.859789 | + | 0.822876i | ||||
\(856\) | 3.00718 | + | 18.5168i | 0.102783 | + | 0.632891i | ||||
\(857\) | 2.98575 | − | 22.6791i | 0.101991 | − | 0.774702i | −0.861650 | − | 0.507503i | \(-0.830569\pi\) |
0.963641 | − | 0.267199i | \(-0.0860981\pi\) | |||||||
\(858\) | −8.12424 | − | 3.58381i | −0.277357 | − | 0.122349i | ||||
\(859\) | −28.7711 | + | 25.2316i | −0.981659 | + | 0.860892i | −0.990282 | − | 0.139071i | \(-0.955588\pi\) |
0.00862358 | + | 0.999963i | \(0.497255\pi\) | |||||||
\(860\) | 47.5414 | − | 5.12237i | 1.62115 | − | 0.174671i | ||||
\(861\) | 7.73177 | + | 64.1581i | 0.263498 | + | 2.18650i | ||||
\(862\) | 18.0602 | − | 30.4468i | 0.615132 | − | 1.03702i | ||||
\(863\) | 20.8487i | 0.709698i | 0.934924 | + | 0.354849i | \(0.115468\pi\) | ||||
−0.934924 | + | 0.354849i | \(0.884532\pi\) | |||||||
\(864\) | −29.3714 | + | 1.14836i | −0.999237 | + | 0.0390681i | ||||
\(865\) | 50.3640i | 1.71243i | ||||||||
\(866\) | −26.7914 | − | 15.8919i | −0.910410 | − | 0.540029i | ||||
\(867\) | −3.24931 | − | 26.9627i | −0.110352 | − | 0.915702i | ||||
\(868\) | 29.2298 | − | 36.2891i | 0.992123 | − | 1.23173i | ||||
\(869\) | 32.9586 | − | 28.9039i | 1.11805 | − | 0.980499i | ||||
\(870\) | 23.6778 | − | 53.6758i | 0.802753 | − | 1.81978i | ||||
\(871\) | 2.08414 | − | 15.8306i | 0.0706184 | − | 0.536400i | ||||
\(872\) | −46.1923 | + | 28.5562i | −1.56427 | + | 0.967034i | ||||
\(873\) | −6.38917 | − | 1.86309i | −0.216241 | − | 0.0630559i | ||||
\(874\) | 3.16478 | + | 16.9521i | 0.107050 | + | 0.573413i | ||||
\(875\) | 17.1257 | − | 8.44548i | 0.578956 | − | 0.285509i | ||||
\(876\) | 4.10584 | + | 17.7543i | 0.138724 | + | 0.599861i | ||||
\(877\) | −44.4569 | + | 15.0911i | −1.50120 | + | 0.509589i | −0.946568 | − | 0.322506i | \(-0.895475\pi\) |
−0.554634 | + | 0.832095i | \(0.687142\pi\) | |||||||
\(878\) | 7.14898 | − | 9.09284i | 0.241266 | − | 0.306868i | ||||
\(879\) | 34.0370 | − | 37.9637i | 1.14804 | − | 1.28048i | ||||
\(880\) | 24.3774 | + | 35.0754i | 0.821762 | + | 1.18239i | ||||
\(881\) | 36.8135 | − | 36.8135i | 1.24028 | − | 1.24028i | 0.280394 | − | 0.959885i | \(-0.409535\pi\) |
0.959885 | − | 0.280394i | \(-0.0904651\pi\) | |||||||
\(882\) | −12.7936 | − | 55.1162i | −0.430783 | − | 1.85586i | ||||
\(883\) | −7.31330 | − | 1.45471i | −0.246112 | − | 0.0489547i | 0.0704926 | − | 0.997512i | \(-0.477543\pi\) |
−0.316605 | + | 0.948558i | \(0.602543\pi\) | |||||||
\(884\) | −0.109619 | − | 2.61583i | −0.00368689 | − | 0.0879799i | ||||
\(885\) | 0.883958 | − | 80.5987i | 0.0297139 | − | 2.70929i | ||||
\(886\) | −1.82389 | − | 0.141147i | −0.0612747 | − | 0.00474192i | ||||
\(887\) | −40.5918 | + | 5.34402i | −1.36294 | + | 0.179435i | −0.776275 | − | 0.630394i | \(-0.782893\pi\) |
−0.586666 | + | 0.809829i | \(0.699560\pi\) | |||||||
\(888\) | 10.4269 | − | 18.8853i | 0.349905 | − | 0.633751i | ||||
\(889\) | −64.7782 | − | 8.52821i | −2.17259 | − | 0.286027i | ||||
\(890\) | −9.79273 | + | 46.3688i | −0.328253 | + | 1.55429i | ||||
\(891\) | −23.0917 | − | 16.9399i | −0.773602 | − | 0.567507i | ||||
\(892\) | −18.2320 | − | 0.429777i | −0.610453 | − | 0.0143900i | ||||
\(893\) | 0.808749 | + | 12.3391i | 0.0270637 | + | 0.412913i | ||||
\(894\) | 36.0539 | − | 11.3307i | 1.20582 | − | 0.378955i | ||||
\(895\) | 6.97200 | + | 12.0759i | 0.233048 | + | 0.403651i | ||||
\(896\) | 50.9604 | − | 2.46895i | 1.70247 | − | 0.0824820i | ||||
\(897\) | 5.82984 | − | 3.80356i | 0.194653 | − | 0.126997i | ||||
\(898\) | 0.919295 | + | 3.60002i | 0.0306773 | + | 0.120134i | ||||
\(899\) | 30.6582 | − | 20.4852i | 1.02251 | − | 0.683218i | ||||
\(900\) | −21.4920 | − | 30.8162i | −0.716402 | − | 1.02721i | ||||
\(901\) | 4.12187 | − | 0.819892i | 0.137320 | − | 0.0273146i | ||||
\(902\) | −27.7011 | − | 24.8768i | −0.922347 | − | 0.828306i | ||||
\(903\) | 50.1753 | − | 24.0633i | 1.66973 | − | 0.800776i | ||||
\(904\) | −5.16569 | − | 9.72570i | −0.171808 | − | 0.323472i | ||||
\(905\) | −42.9625 | + | 5.65612i | −1.42812 | + | 0.188016i | ||||
\(906\) | −2.41848 | − | 1.47066i | −0.0803485 | − | 0.0488595i | ||||
\(907\) | −2.27919 | − | 4.62174i | −0.0756793 | − | 0.153462i | 0.855745 | − | 0.517398i | \(-0.173099\pi\) |
−0.931424 | + | 0.363936i | \(0.881433\pi\) | |||||||
\(908\) | 4.64972 | − | 2.95076i | 0.154306 | − | 0.0979243i | ||||
\(909\) | 17.4054 | + | 1.52483i | 0.577301 | + | 0.0505756i | ||||
\(910\) | −22.4139 | − | 9.59513i | −0.743015 | − | 0.318076i | ||||
\(911\) | −8.17608 | − | 30.5135i | −0.270886 | − | 1.01096i | −0.958549 | − | 0.284929i | \(-0.908030\pi\) |
0.687663 | − | 0.726030i | \(-0.258637\pi\) | |||||||
\(912\) | −19.1057 | − | 14.4386i | −0.632652 | − | 0.478108i | ||||
\(913\) | 13.4268 | − | 50.1097i | 0.444364 | − | 1.65839i | ||||
\(914\) | −3.13912 | + | 3.99267i | −0.103833 | + | 0.132066i | ||||
\(915\) | −4.78828 | + | 6.10050i | −0.158296 | + | 0.201676i | ||||
\(916\) | −5.06900 | + | 13.8514i | −0.167484 | + | 0.457664i | ||||
\(917\) | 47.5432 | + | 31.7674i | 1.57002 | + | 1.04905i | ||||
\(918\) | 1.47505 | − | 8.31429i | 0.0486840 | − | 0.274413i | ||||
\(919\) | −13.6370 | − | 5.64861i | −0.449842 | − | 0.186331i | 0.146249 | − | 0.989248i | \(-0.453280\pi\) |
−0.596090 | + | 0.802917i | \(0.703280\pi\) | |||||||
\(920\) | −33.4698 | + | 1.00766i | −1.10347 | + | 0.0332215i | ||||
\(921\) | −46.8936 | − | 3.59045i | −1.54520 | − | 0.118309i | ||||
\(922\) | 7.79228 | + | 3.95755i | 0.256625 | + | 0.130335i | ||||
\(923\) | 4.71580 | − | 4.13565i | 0.155223 | − | 0.136127i | ||||
\(924\) | 40.3539 | + | 29.0279i | 1.32755 | + | 0.954949i | ||||
\(925\) | 27.5146 | − | 1.80340i | 0.904674 | − | 0.0592955i | ||||
\(926\) | 0.270635 | − | 22.9650i | 0.00889363 | − | 0.754676i | ||||
\(927\) | 20.0114 | + | 8.80802i | 0.657260 | + | 0.289293i | ||||
\(928\) | 39.0641 | + | 10.1943i | 1.28234 | + | 0.334645i | ||||
\(929\) | −46.2387 | − | 26.6959i | −1.51704 | − | 0.875865i | −0.999799 | − | 0.0200270i | \(-0.993625\pi\) |
−0.517244 | − | 0.855838i | \(-0.673042\pi\) | |||||||
\(930\) | −1.81281 | − | 42.4301i | −0.0594445 | − | 1.39134i | ||||
\(931\) | 20.3887 | − | 41.3443i | 0.668214 | − | 1.35500i | ||||
\(932\) | 35.0479 | − | 3.77625i | 1.14803 | − | 0.123695i | ||||
\(933\) | −44.8187 | + | 11.4838i | −1.46730 | + | 0.375964i | ||||
\(934\) | 26.1567 | − | 1.40507i | 0.855874 | − | 0.0459752i | ||||
\(935\) | −11.3368 | + | 4.69586i | −0.370753 | + | 0.153571i | ||||
\(936\) | −2.42557 | + | 9.35723i | −0.0792821 | + | 0.305851i | ||||
\(937\) | −0.905920 | − | 0.375244i | −0.0295951 | − | 0.0122587i | 0.367837 | − | 0.929890i | \(-0.380099\pi\) |
−0.397432 | + | 0.917632i | \(0.630099\pi\) | |||||||
\(938\) | −29.7282 | + | 84.2996i | −0.970661 | + | 2.75248i | ||||
\(939\) | −4.09006 | − | 0.0448573i | −0.133474 | − | 0.00146386i | ||||
\(940\) | −23.9155 | − | 2.13456i | −0.780038 | − | 0.0696215i | ||||
\(941\) | 6.19690 | − | 2.10356i | 0.202013 | − | 0.0685742i | −0.218599 | − | 0.975815i | \(-0.570149\pi\) |
0.420612 | + | 0.907241i | \(0.361815\pi\) | |||||||
\(942\) | −9.67798 | − | 0.855828i | −0.315326 | − | 0.0278844i | ||||
\(943\) | 28.1923 | − | 7.55410i | 0.918067 | − | 0.245995i | ||||
\(944\) | 54.8526 | − | 8.24601i | 1.78530 | − | 0.268385i | ||||
\(945\) | −63.9111 | − | 45.8150i | −2.07903 | − | 1.49036i | ||||
\(946\) | −12.6173 | + | 29.4737i | −0.410224 | + | 0.958271i | ||||
\(947\) | −8.75173 | + | 9.97944i | −0.284393 | + | 0.324288i | −0.876344 | − | 0.481686i | \(-0.840025\pi\) |
0.591951 | + | 0.805974i | \(0.298358\pi\) | |||||||
\(948\) | −36.8349 | − | 30.3414i | −1.19634 | − | 0.985442i | ||||
\(949\) | 5.97995 | + | 0.391947i | 0.194117 | + | 0.0127231i | ||||
\(950\) | 2.36175 | − | 30.5183i | 0.0766253 | − | 0.990146i | ||||
\(951\) | −2.93135 | − | 15.6309i | −0.0950556 | − | 0.506866i | ||||
\(952\) | −2.42552 | + | 14.4547i | −0.0786115 | + | 0.468481i | ||||
\(953\) | 7.66922 | + | 18.5151i | 0.248430 | + | 0.599764i | 0.998071 | − | 0.0620809i | \(-0.0197737\pi\) |
−0.749641 | + | 0.661845i | \(0.769774\pi\) | |||||||
\(954\) | −15.4405 | − | 1.53624i | −0.499903 | − | 0.0497375i | ||||
\(955\) | −18.9213 | + | 3.76369i | −0.612280 | + | 0.121790i | ||||
\(956\) | −8.80538 | − | 36.2596i | −0.284786 | − | 1.17272i | ||||
\(957\) | 23.6022 | + | 31.4676i | 0.762951 | + | 1.01720i | ||||
\(958\) | −7.24901 | + | 25.8321i | −0.234205 | + | 0.834598i | ||||
\(959\) | 8.72150 | + | 15.1061i | 0.281632 | + | 0.487801i | ||||
\(960\) | 33.4096 | − | 32.3428i | 1.07829 | − | 1.04386i | ||||
\(961\) | −2.15397 | + | 3.73078i | −0.0694829 | + | 0.120348i | ||||
\(962\) | −4.95703 | − | 5.07525i | −0.159821 | − | 0.163633i | ||||
\(963\) | 18.6966 | + | 6.80748i | 0.602489 | + | 0.219368i | ||||
\(964\) | −0.0449199 | − | 0.0470888i | −0.00144677 | − | 0.00151663i | ||||
\(965\) | 25.5779 | − | 75.3502i | 0.823383 | − | 2.42561i | ||||
\(966\) | −36.3322 | + | 14.0897i | −1.16897 | + | 0.453330i | ||||
\(967\) | 35.7862 | − | 46.6374i | 1.15081 | − | 1.49976i | 0.316384 | − | 0.948631i | \(-0.397531\pi\) |
0.834421 | − | 0.551127i | \(-0.185802\pi\) | |||||||
\(968\) | 2.46142 | − | 0.235900i | 0.0791129 | − | 0.00758210i | ||||
\(969\) | 5.22180 | − | 4.47905i | 0.167748 | − | 0.143888i | ||||
\(970\) | 9.49685 | − | 4.54500i | 0.304926 | − | 0.145931i | ||||
\(971\) | 22.6212 | − | 33.8550i | 0.725948 | − | 1.08646i | −0.266505 | − | 0.963834i | \(-0.585869\pi\) |
0.992453 | − | 0.122625i | \(-0.0391311\pi\) | |||||||
\(972\) | −14.1502 | + | 27.7808i | −0.453869 | + | 0.891069i | ||||
\(973\) | −94.2984 | − | 18.7571i | −3.02307 | − | 0.601326i | ||||
\(974\) | 12.4809 | + | 16.6685i | 0.399914 | + | 0.534094i | ||||
\(975\) | −11.7426 | + | 3.84300i | −0.376065 | + | 0.123074i | ||||
\(976\) | −4.67001 | − | 2.58338i | −0.149483 | − | 0.0826920i | ||||
\(977\) | −3.75613 | + | 14.0181i | −0.120169 | + | 0.448477i | −0.999622 | − | 0.0275096i | \(-0.991242\pi\) |
0.879452 | + | 0.475987i | \(0.157909\pi\) | |||||||
\(978\) | 24.5524 | − | 34.9948i | 0.785098 | − | 1.11901i | ||||
\(979\) | −23.8904 | − | 20.9513i | −0.763539 | − | 0.669606i | ||||
\(980\) | 73.2323 | + | 51.4692i | 2.33932 | + | 1.64412i | ||||
\(981\) | 2.50575 | + | 57.5461i | 0.0800025 | + | 1.83730i | ||||
\(982\) | −40.4176 | + | 7.54556i | −1.28978 | + | 0.240789i | ||||
\(983\) | −0.410492 | + | 0.314982i | −0.0130927 | + | 0.0100464i | −0.615287 | − | 0.788303i | \(-0.710960\pi\) |
0.602194 | + | 0.798350i | \(0.294293\pi\) | |||||||
\(984\) | −21.8692 | + | 34.1251i | −0.697165 | + | 1.08787i | ||||
\(985\) | −12.2094 | − | 9.36856i | −0.389022 | − | 0.298507i | ||||
\(986\) | −5.25187 | + | 10.3407i | −0.167254 | + | 0.329316i | ||||
\(987\) | −27.0682 | + | 6.93565i | −0.861590 | + | 0.220764i | ||||
\(988\) | −6.35931 | + | 4.64573i | −0.202316 | + | 0.147800i | ||||
\(989\) | −13.9632 | − | 20.8974i | −0.444005 | − | 0.664500i | ||||
\(990\) | 45.0920 | − | 4.39596i | 1.43312 | − | 0.139713i | ||||
\(991\) | − | 19.2522i | − | 0.611566i | −0.952101 | − | 0.305783i | \(-0.901082\pi\) | ||
0.952101 | − | 0.305783i | \(-0.0989183\pi\) | |||||||
\(992\) | 28.6264 | − | 5.88869i | 0.908888 | − | 0.186966i | ||||
\(993\) | 14.7878 | + | 22.6656i | 0.469275 | + | 0.719273i | ||||
\(994\) | −30.6144 | + | 17.1974i | −0.971028 | + | 0.545469i | ||||
\(995\) | −30.6114 | + | 62.0739i | −0.970448 | + | 1.96787i | ||||
\(996\) | −56.1927 | − | 5.63723i | −1.78053 | − | 0.178623i | ||||
\(997\) | 49.1372 | + | 16.6798i | 1.55619 | + | 0.528255i | 0.961288 | − | 0.275544i | \(-0.0888579\pi\) |
0.594901 | + | 0.803799i | \(0.297191\pi\) | |||||||
\(998\) | −3.83739 | + | 2.49916i | −0.121470 | + | 0.0791096i | ||||
\(999\) | −12.0794 | − | 19.4329i | −0.382176 | − | 0.614830i |
(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 | 576.2.bm.a.205.42 | yes | 1504 | |
9.4 | even | 3 | inner | 576.2.bm.a.13.85 | ✓ | 1504 | |
64.5 | even | 16 | inner | 576.2.bm.a.133.85 | yes | 1504 | |
576.517 | even | 48 | inner | 576.2.bm.a.517.42 | yes | 1504 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
576.2.bm.a.13.85 | ✓ | 1504 | 9.4 | even | 3 | inner | |
576.2.bm.a.133.85 | yes | 1504 | 64.5 | even | 16 | inner | |
576.2.bm.a.205.42 | yes | 1504 | 1.1 | even | 1 | trivial | |
576.2.bm.a.517.42 | yes | 1504 | 576.517 | even | 48 | inner |