Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [275,2,Mod(7,275)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(275, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([5, 14]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("275.7");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 275 = 5^{2} \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 275.bm (of order \(20\), degree \(8\), 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: | \(2.19588605559\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{20})\) |
Twist minimal: | no (minimal twist has level 55) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 57.3 | ||
Character | \(\chi\) | \(=\) | 275.57 |
Dual form | 275.2.bm.b.193.3 |
$q$-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 \(\left(\mathbb{Z}/275\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(177\) |
\(\chi(n)\) | \(e\left(\frac{1}{10}\right)\) | \(e\left(\frac{1}{4}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.474334 | + | 0.930933i | 0.335405 | + | 0.658269i | 0.995690 | − | 0.0927463i | \(-0.0295645\pi\) |
−0.660285 | + | 0.751015i | \(0.729565\pi\) | |||||||
\(3\) | 0.440550 | − | 2.78152i | 0.254352 | − | 1.60591i | −0.447966 | − | 0.894051i | \(-0.647851\pi\) |
0.702318 | − | 0.711863i | \(-0.252149\pi\) | |||||||
\(4\) | 0.533928 | − | 0.734888i | 0.266964 | − | 0.367444i | ||||
\(5\) | 0 | 0 | ||||||||
\(6\) | 2.79838 | − | 0.909249i | 1.14243 | − | 0.371199i | ||||
\(7\) | 0.543058 | − | 0.0860119i | 0.205257 | − | 0.0325095i | −0.0529594 | − | 0.998597i | \(-0.516865\pi\) |
0.258216 | + | 0.966087i | \(0.416865\pi\) | |||||||
\(8\) | 3.00128 | + | 0.475357i | 1.06111 | + | 0.168064i | ||||
\(9\) | −4.68963 | − | 1.52375i | −1.56321 | − | 0.507917i | ||||
\(10\) | 0 | 0 | ||||||||
\(11\) | −3.29961 | − | 0.335528i | −0.994870 | − | 0.101166i | ||||
\(12\) | −1.80889 | − | 1.80889i | −0.522181 | − | 0.522181i | ||||
\(13\) | −2.89095 | + | 1.47301i | −0.801805 | + | 0.408540i | −0.806342 | − | 0.591450i | \(-0.798556\pi\) |
0.00453687 | + | 0.999990i | \(0.498556\pi\) | |||||||
\(14\) | 0.337662 | + | 0.464752i | 0.0902440 | + | 0.124210i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | 0.419681 | + | 1.29165i | 0.104920 | + | 0.322912i | ||||
\(17\) | 5.04545 | + | 2.57079i | 1.22370 | + | 0.623507i | 0.941877 | − | 0.335959i | \(-0.109060\pi\) |
0.281825 | + | 0.959466i | \(0.409060\pi\) | |||||||
\(18\) | −0.805938 | − | 5.08849i | −0.189961 | − | 1.19937i | ||||
\(19\) | 1.25925 | − | 0.914902i | 0.288893 | − | 0.209893i | −0.433894 | − | 0.900964i | \(-0.642861\pi\) |
0.722787 | + | 0.691071i | \(0.242861\pi\) | |||||||
\(20\) | 0 | 0 | ||||||||
\(21\) | − | 1.54842i | − | 0.337893i | ||||||
\(22\) | −1.25276 | − | 3.23087i | −0.267090 | − | 0.688823i | ||||
\(23\) | 0.803543 | − | 0.803543i | 0.167550 | − | 0.167550i | −0.618351 | − | 0.785902i | \(-0.712199\pi\) |
0.785902 | + | 0.618351i | \(0.212199\pi\) | |||||||
\(24\) | 2.64443 | − | 8.13873i | 0.539793 | − | 1.66131i | ||||
\(25\) | 0 | 0 | ||||||||
\(26\) | −2.74255 | − | 1.99258i | −0.537858 | − | 0.390777i | ||||
\(27\) | −2.46879 | + | 4.84527i | −0.475119 | + | 0.932473i | ||||
\(28\) | 0.226744 | − | 0.445011i | 0.0428507 | − | 0.0840992i | ||||
\(29\) | 3.44380 | + | 2.50207i | 0.639498 | + | 0.464623i | 0.859678 | − | 0.510837i | \(-0.170664\pi\) |
−0.220180 | + | 0.975459i | \(0.570664\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.509209 | + | 1.56718i | −0.0914566 | + | 0.281475i | −0.986314 | − | 0.164878i | \(-0.947277\pi\) |
0.894857 | + | 0.446352i | \(0.147277\pi\) | |||||||
\(32\) | 3.29400 | − | 3.29400i | 0.582302 | − | 0.582302i | ||||
\(33\) | −2.38692 | + | 9.03013i | −0.415510 | + | 1.57194i | ||||
\(34\) | 5.91638i | 1.01465i | ||||||||
\(35\) | 0 | 0 | ||||||||
\(36\) | −3.62371 | + | 2.63278i | −0.603951 | + | 0.438796i | ||||
\(37\) | 0.149692 | + | 0.945121i | 0.0246093 | + | 0.155377i | 0.996933 | − | 0.0782613i | \(-0.0249369\pi\) |
−0.972324 | + | 0.233638i | \(0.924937\pi\) | |||||||
\(38\) | 1.44902 | + | 0.738312i | 0.235062 | + | 0.119770i | ||||
\(39\) | 2.82361 | + | 8.69018i | 0.452140 | + | 1.39154i | ||||
\(40\) | 0 | 0 | ||||||||
\(41\) | 5.25869 | + | 7.23797i | 0.821270 | + | 1.13038i | 0.989486 | + | 0.144631i | \(0.0461994\pi\) |
−0.168216 | + | 0.985750i | \(0.553801\pi\) | |||||||
\(42\) | 1.44148 | − | 0.734469i | 0.222425 | − | 0.113331i | ||||
\(43\) | −2.55312 | − | 2.55312i | −0.389348 | − | 0.389348i | 0.485107 | − | 0.874455i | \(-0.338781\pi\) |
−0.874455 | + | 0.485107i | \(0.838781\pi\) | |||||||
\(44\) | −2.00833 | + | 2.24570i | −0.302767 | + | 0.338551i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 1.12919 | + | 0.366897i | 0.166490 | + | 0.0540960i | ||||
\(47\) | −4.02160 | − | 0.636959i | −0.586611 | − | 0.0929101i | −0.143928 | − | 0.989588i | \(-0.545973\pi\) |
−0.442683 | + | 0.896678i | \(0.645973\pi\) | |||||||
\(48\) | 3.77764 | − | 0.598319i | 0.545255 | − | 0.0863599i | ||||
\(49\) | −6.36988 | + | 2.06970i | −0.909983 | + | 0.295671i | ||||
\(50\) | 0 | 0 | ||||||||
\(51\) | 9.37348 | − | 12.9015i | 1.31255 | − | 1.80657i | ||||
\(52\) | −0.461058 | + | 2.91101i | −0.0639373 | + | 0.403684i | ||||
\(53\) | 3.19821 | + | 6.27685i | 0.439309 | + | 0.862192i | 0.999429 | + | 0.0337806i | \(0.0107548\pi\) |
−0.560121 | + | 0.828411i | \(0.689245\pi\) | |||||||
\(54\) | −5.68165 | −0.773175 | ||||||||
\(55\) | 0 | 0 | ||||||||
\(56\) | 1.67076 | 0.223264 | ||||||||
\(57\) | −1.99006 | − | 3.90571i | −0.263590 | − | 0.517324i | ||||
\(58\) | −0.695746 | + | 4.39276i | −0.0913559 | + | 0.576798i | ||||
\(59\) | 3.97760 | − | 5.47470i | 0.517839 | − | 0.712745i | −0.467377 | − | 0.884058i | \(-0.654801\pi\) |
0.985217 | + | 0.171313i | \(0.0548010\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −8.75080 | + | 2.84331i | −1.12043 | + | 0.364048i | −0.809930 | − | 0.586526i | \(-0.800495\pi\) |
−0.310496 | + | 0.950575i | \(0.600495\pi\) | |||||||
\(62\) | −1.70048 | + | 0.269329i | −0.215961 | + | 0.0342048i | ||||
\(63\) | −2.67780 | − | 0.424122i | −0.337371 | − | 0.0534343i | ||||
\(64\) | 7.21224 | + | 2.34340i | 0.901530 | + | 0.292925i | ||||
\(65\) | 0 | 0 | ||||||||
\(66\) | −9.53864 | + | 2.06123i | −1.17413 | + | 0.253720i | ||||
\(67\) | 2.62254 | + | 2.62254i | 0.320394 | + | 0.320394i | 0.848918 | − | 0.528524i | \(-0.177254\pi\) |
−0.528524 | + | 0.848918i | \(0.677254\pi\) | |||||||
\(68\) | 4.58314 | − | 2.33523i | 0.555788 | − | 0.283188i | ||||
\(69\) | −1.88107 | − | 2.58908i | −0.226455 | − | 0.311688i | ||||
\(70\) | 0 | 0 | ||||||||
\(71\) | 2.11802 | + | 6.51858i | 0.251362 | + | 0.773613i | 0.994525 | + | 0.104502i | \(0.0333250\pi\) |
−0.743162 | + | 0.669111i | \(0.766675\pi\) | |||||||
\(72\) | −13.3506 | − | 6.80246i | −1.57338 | − | 0.801677i | ||||
\(73\) | −1.57837 | − | 9.96541i | −0.184734 | − | 1.16636i | −0.889504 | − | 0.456928i | \(-0.848950\pi\) |
0.704770 | − | 0.709436i | \(-0.251050\pi\) | |||||||
\(74\) | −0.808840 | + | 0.587656i | −0.0940257 | + | 0.0683137i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | − | 1.41390i | − | 0.162186i | ||||||
\(77\) | −1.82074 | + | 0.101594i | −0.207492 | + | 0.0115778i | ||||
\(78\) | −6.75064 | + | 6.75064i | −0.764360 | + | 0.764360i | ||||
\(79\) | 1.28746 | − | 3.96241i | 0.144851 | − | 0.445806i | −0.852141 | − | 0.523313i | \(-0.824696\pi\) |
0.996992 | + | 0.0775069i | \(0.0246960\pi\) | |||||||
\(80\) | 0 | 0 | ||||||||
\(81\) | 0.421915 | + | 0.306539i | 0.0468795 | + | 0.0340599i | ||||
\(82\) | −4.24369 | + | 8.32870i | −0.468637 | + | 0.919751i | ||||
\(83\) | −5.14352 | + | 10.0947i | −0.564574 | + | 1.10804i | 0.415534 | + | 0.909577i | \(0.363595\pi\) |
−0.980109 | + | 0.198462i | \(0.936405\pi\) | |||||||
\(84\) | −1.13792 | − | 0.826745i | −0.124157 | − | 0.0902053i | ||||
\(85\) | 0 | 0 | ||||||||
\(86\) | 1.16575 | − | 3.58782i | 0.125706 | − | 0.386884i | ||||
\(87\) | 8.47673 | − | 8.47673i | 0.908801 | − | 0.908801i | ||||
\(88\) | −9.74357 | − | 2.57551i | −1.03867 | − | 0.274550i | ||||
\(89\) | − | 3.64860i | − | 0.386750i | −0.981125 | − | 0.193375i | \(-0.938057\pi\) | ||
0.981125 | − | 0.193375i | \(-0.0619435\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −1.44326 | + | 1.04859i | −0.151294 | + | 0.109922i | ||||
\(92\) | −0.161481 | − | 1.01955i | −0.0168355 | − | 0.106295i | ||||
\(93\) | 4.13483 | + | 2.10680i | 0.428762 | + | 0.218465i | ||||
\(94\) | −1.31462 | − | 4.04597i | −0.135592 | − | 0.417310i | ||||
\(95\) | 0 | 0 | ||||||||
\(96\) | −7.71117 | − | 10.6135i | −0.787018 | − | 1.08324i | ||||
\(97\) | −14.8515 | + | 7.56722i | −1.50794 | + | 0.768335i | −0.995886 | − | 0.0906166i | \(-0.971116\pi\) |
−0.512057 | + | 0.858952i | \(0.671116\pi\) | |||||||
\(98\) | −4.94820 | − | 4.94820i | −0.499844 | − | 0.499844i | ||||
\(99\) | 14.9627 | + | 6.60129i | 1.50380 | + | 0.663454i | ||||
\(100\) | 0 | 0 | ||||||||
\(101\) | −0.608855 | − | 0.197829i | −0.0605834 | − | 0.0196847i | 0.278569 | − | 0.960416i | \(-0.410140\pi\) |
−0.339152 | + | 0.940732i | \(0.610140\pi\) | |||||||
\(102\) | 16.4566 | + | 2.60646i | 1.62944 | + | 0.258078i | ||||
\(103\) | 2.04060 | − | 0.323199i | 0.201066 | − | 0.0318457i | −0.0550890 | − | 0.998481i | \(-0.517544\pi\) |
0.256155 | + | 0.966636i | \(0.417544\pi\) | |||||||
\(104\) | −9.37677 | + | 3.04670i | −0.919468 | + | 0.298753i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.32630 | + | 5.95465i | −0.420208 | + | 0.578366i | ||||
\(107\) | 1.39820 | − | 8.82790i | 0.135169 | − | 0.853425i | −0.823171 | − | 0.567794i | \(-0.807797\pi\) |
0.958340 | − | 0.285631i | \(-0.0922031\pi\) | |||||||
\(108\) | 2.24258 | + | 4.40131i | 0.215792 | + | 0.423516i | ||||
\(109\) | −4.48044 | −0.429148 | −0.214574 | − | 0.976708i | \(-0.568836\pi\) | ||||
−0.214574 | + | 0.976708i | \(0.568836\pi\) | |||||||
\(110\) | 0 | 0 | ||||||||
\(111\) | 2.69482 | 0.255781 | ||||||||
\(112\) | 0.339008 | + | 0.665341i | 0.0320333 | + | 0.0628688i | ||||
\(113\) | 0.224599 | − | 1.41806i | 0.0211285 | − | 0.133400i | −0.974869 | − | 0.222778i | \(-0.928488\pi\) |
0.995998 | + | 0.0893772i | \(0.0284877\pi\) | |||||||
\(114\) | 2.69200 | − | 3.70522i | 0.252129 | − | 0.347026i | ||||
\(115\) | 0 | 0 | ||||||||
\(116\) | 3.67748 | − | 1.19489i | 0.341446 | − | 0.110942i | ||||
\(117\) | 15.8020 | − | 2.50279i | 1.46089 | − | 0.231383i | ||||
\(118\) | 6.98328 | + | 1.10604i | 0.642863 | + | 0.101820i | ||||
\(119\) | 2.96109 | + | 0.962116i | 0.271443 | + | 0.0881971i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 10.7748 | + | 2.21422i | 0.979531 | + | 0.201293i | ||||
\(122\) | −6.79773 | − | 6.79773i | −0.615438 | − | 0.615438i | ||||
\(123\) | 22.4493 | − | 11.4385i | 2.02419 | − | 1.03137i | ||||
\(124\) | 0.879824 | + | 1.21097i | 0.0790106 | + | 0.108749i | ||||
\(125\) | 0 | 0 | ||||||||
\(126\) | −0.875342 | − | 2.69403i | −0.0779817 | − | 0.240003i | ||||
\(127\) | 10.5351 | + | 5.36790i | 0.934838 | + | 0.476324i | 0.853924 | − | 0.520397i | \(-0.174216\pi\) |
0.0809136 | + | 0.996721i | \(0.474216\pi\) | |||||||
\(128\) | −0.218011 | − | 1.37647i | −0.0192696 | − | 0.121664i | ||||
\(129\) | −8.22635 | + | 5.97680i | −0.724290 | + | 0.526228i | ||||
\(130\) | 0 | 0 | ||||||||
\(131\) | − | 7.94436i | − | 0.694102i | −0.937846 | − | 0.347051i | \(-0.887183\pi\) | ||
0.937846 | − | 0.347051i | \(-0.112817\pi\) | |||||||
\(132\) | 5.36169 | + | 6.57556i | 0.466675 | + | 0.572329i | ||||
\(133\) | 0.605156 | − | 0.605156i | 0.0524737 | − | 0.0524737i | ||||
\(134\) | −1.19745 | + | 3.68537i | −0.103444 | + | 0.318367i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 13.9208 | + | 10.1140i | 1.19370 | + | 0.867272i | ||||
\(137\) | 2.03155 | − | 3.98714i | 0.173567 | − | 0.340644i | −0.787792 | − | 0.615941i | \(-0.788776\pi\) |
0.961359 | + | 0.275297i | \(0.0887761\pi\) | |||||||
\(138\) | 1.51800 | − | 2.97924i | 0.129221 | − | 0.253610i | ||||
\(139\) | −18.2968 | − | 13.2934i | −1.55192 | − | 1.12753i | −0.942267 | − | 0.334862i | \(-0.891310\pi\) |
−0.609650 | − | 0.792671i | \(-0.708690\pi\) | |||||||
\(140\) | 0 | 0 | ||||||||
\(141\) | −3.54344 | + | 10.9056i | −0.298411 | + | 0.918415i | ||||
\(142\) | −5.06371 | + | 5.06371i | −0.424937 | + | 0.424937i | ||||
\(143\) | 10.0332 | − | 3.89037i | 0.839022 | − | 0.325329i | ||||
\(144\) | − | 6.69683i | − | 0.558069i | ||||||
\(145\) | 0 | 0 | ||||||||
\(146\) | 8.52846 | − | 6.19629i | 0.705820 | − | 0.512808i | ||||
\(147\) | 2.95067 | + | 18.6298i | 0.243367 | + | 1.53656i | ||||
\(148\) | 0.774483 | + | 0.394619i | 0.0636621 | + | 0.0324375i | ||||
\(149\) | 4.56892 | + | 14.0617i | 0.374301 | + | 1.15198i | 0.943949 | + | 0.330091i | \(0.107079\pi\) |
−0.569648 | + | 0.821888i | \(0.692921\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 3.90602 | + | 5.37617i | 0.317867 | + | 0.437507i | 0.937815 | − | 0.347137i | \(-0.112846\pi\) |
−0.619947 | + | 0.784644i | \(0.712846\pi\) | |||||||
\(152\) | 4.21429 | − | 2.14729i | 0.341824 | − | 0.174168i | ||||
\(153\) | −19.7440 | − | 19.7440i | −1.59621 | − | 1.59621i | ||||
\(154\) | −0.958216 | − | 1.64680i | −0.0772152 | − | 0.132703i | ||||
\(155\) | 0 | 0 | ||||||||
\(156\) | 7.89392 | + | 2.56489i | 0.632019 | + | 0.205355i | ||||
\(157\) | −1.59445 | − | 0.252536i | −0.127251 | − | 0.0201545i | 0.0924842 | − | 0.995714i | \(-0.470519\pi\) |
−0.219735 | + | 0.975560i | \(0.570519\pi\) | |||||||
\(158\) | 4.29942 | − | 0.680962i | 0.342044 | − | 0.0541744i | ||||
\(159\) | 18.8682 | − | 6.13065i | 1.49634 | − | 0.486192i | ||||
\(160\) | 0 | 0 | ||||||||
\(161\) | 0.367256 | − | 0.505485i | 0.0289438 | − | 0.0398378i | ||||
\(162\) | −0.0852388 | + | 0.538177i | −0.00669699 | + | 0.0422831i | ||||
\(163\) | −4.59871 | − | 9.02548i | −0.360199 | − | 0.706930i | 0.637797 | − | 0.770204i | \(-0.279846\pi\) |
−0.997996 | + | 0.0632741i | \(0.979846\pi\) | |||||||
\(164\) | 8.12686 | 0.634601 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −11.8372 | −0.918749 | ||||||||
\(167\) | 6.50021 | + | 12.7574i | 0.503001 | + | 0.987195i | 0.993292 | + | 0.115636i | \(0.0368907\pi\) |
−0.490290 | + | 0.871559i | \(0.663109\pi\) | |||||||
\(168\) | 0.736053 | − | 4.64725i | 0.0567877 | − | 0.358543i | ||||
\(169\) | −1.45339 | + | 2.00041i | −0.111799 | + | 0.153878i | ||||
\(170\) | 0 | 0 | ||||||||
\(171\) | −7.29952 | + | 2.37176i | −0.558208 | + | 0.181373i | ||||
\(172\) | −3.23944 | + | 0.513077i | −0.247005 | + | 0.0391218i | ||||
\(173\) | −16.3652 | − | 2.59199i | −1.24422 | − | 0.197066i | −0.500609 | − | 0.865674i | \(-0.666890\pi\) |
−0.743615 | + | 0.668608i | \(0.766890\pi\) | |||||||
\(174\) | 11.9121 | + | 3.87047i | 0.903052 | + | 0.293419i | ||||
\(175\) | 0 | 0 | ||||||||
\(176\) | −0.951401 | − | 4.40274i | −0.0717145 | − | 0.331869i | ||||
\(177\) | −13.4757 | − | 13.4757i | −1.01289 | − | 1.01289i | ||||
\(178\) | 3.39660 | − | 1.73065i | 0.254586 | − | 0.129718i | ||||
\(179\) | −11.7477 | − | 16.1694i | −0.878066 | − | 1.20855i | −0.976953 | − | 0.213455i | \(-0.931528\pi\) |
0.0988868 | − | 0.995099i | \(-0.468472\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −8.30476 | − | 25.5594i | −0.617288 | − | 1.89982i | −0.355370 | − | 0.934726i | \(-0.615645\pi\) |
−0.261918 | − | 0.965090i | \(-0.584355\pi\) | |||||||
\(182\) | −1.66075 | − | 0.846194i | −0.123103 | − | 0.0627241i | ||||
\(183\) | 4.05356 | + | 25.5932i | 0.299648 | + | 1.89190i | ||||
\(184\) | 2.79363 | − | 2.02969i | 0.205949 | − | 0.149631i | ||||
\(185\) | 0 | 0 | ||||||||
\(186\) | 4.84857i | 0.355515i | ||||||||
\(187\) | −15.7854 | − | 10.1755i | −1.15435 | − | 0.744105i | ||||
\(188\) | −2.61534 | + | 2.61534i | −0.190743 | + | 0.190743i | ||||
\(189\) | −0.923944 | + | 2.84361i | −0.0672071 | + | 0.206842i | ||||
\(190\) | 0 | 0 | ||||||||
\(191\) | −10.4691 | − | 7.60626i | −0.757519 | − | 0.550370i | 0.140629 | − | 0.990062i | \(-0.455087\pi\) |
−0.898148 | + | 0.439693i | \(0.855087\pi\) | |||||||
\(192\) | 9.69557 | − | 19.0286i | 0.699718 | − | 1.37327i | ||||
\(193\) | −3.40398 | + | 6.68068i | −0.245024 | + | 0.480886i | −0.980463 | − | 0.196705i | \(-0.936976\pi\) |
0.735439 | + | 0.677591i | \(0.236976\pi\) | |||||||
\(194\) | −14.0892 | − | 10.2364i | −1.01154 | − | 0.734928i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −1.88006 | + | 5.78622i | −0.134290 | + | 0.413301i | ||||
\(197\) | 2.73095 | − | 2.73095i | 0.194572 | − | 0.194572i | −0.603096 | − | 0.797668i | \(-0.706067\pi\) |
0.797668 | + | 0.603096i | \(0.206067\pi\) | |||||||
\(198\) | 0.951948 | + | 17.0605i | 0.0676520 | + | 1.21243i | ||||
\(199\) | 12.3835i | 0.877842i | 0.898526 | + | 0.438921i | \(0.144639\pi\) | ||||
−0.898526 | + | 0.438921i | \(0.855361\pi\) | |||||||
\(200\) | 0 | 0 | ||||||||
\(201\) | 8.45002 | − | 6.13930i | 0.596018 | − | 0.433033i | ||||
\(202\) | −0.104635 | − | 0.660640i | −0.00736210 | − | 0.0464825i | ||||
\(203\) | 2.08539 | + | 1.06256i | 0.146366 | + | 0.0745771i | ||||
\(204\) | −4.47639 | − | 13.7769i | −0.313410 | − | 0.964577i | ||||
\(205\) | 0 | 0 | ||||||||
\(206\) | 1.26880 | + | 1.74635i | 0.0884015 | + | 0.121674i | ||||
\(207\) | −4.99272 | + | 2.54392i | −0.347018 | + | 0.176814i | ||||
\(208\) | −3.11589 | − | 3.11589i | −0.216048 | − | 0.216048i | ||||
\(209\) | −4.46202 | + | 2.59630i | −0.308645 | + | 0.179590i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 12.8931 | + | 4.18923i | 0.887599 | + | 0.288398i | 0.717109 | − | 0.696961i | \(-0.245465\pi\) |
0.170490 | + | 0.985359i | \(0.445465\pi\) | |||||||
\(212\) | 6.32040 | + | 1.00105i | 0.434087 | + | 0.0687526i | ||||
\(213\) | 19.0647 | − | 3.01955i | 1.30629 | − | 0.206896i | ||||
\(214\) | 8.88139 | − | 2.88574i | 0.607119 | − | 0.197265i | ||||
\(215\) | 0 | 0 | ||||||||
\(216\) | −9.71277 | + | 13.3685i | −0.660870 | + | 0.909610i | ||||
\(217\) | −0.141733 | + | 0.894870i | −0.00962149 | + | 0.0607477i | ||||
\(218\) | −2.12522 | − | 4.17099i | −0.143938 | − | 0.282495i | ||||
\(219\) | −28.4144 | −1.92007 | ||||||||
\(220\) | 0 | 0 | ||||||||
\(221\) | −18.3729 | −1.23590 | ||||||||
\(222\) | 1.27825 | + | 2.50870i | 0.0857903 | + | 0.168373i | ||||
\(223\) | 0.819786 | − | 5.17593i | 0.0548969 | − | 0.346606i | −0.944917 | − | 0.327310i | \(-0.893858\pi\) |
0.999814 | − | 0.0192953i | \(-0.00614225\pi\) | |||||||
\(224\) | 1.50551 | − | 2.07216i | 0.100591 | − | 0.138452i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 1.42666 | − | 0.463549i | 0.0948999 | − | 0.0308348i | ||||
\(227\) | −14.8855 | + | 2.35763i | −0.987984 | + | 0.156481i | −0.629455 | − | 0.777037i | \(-0.716722\pi\) |
−0.358530 | + | 0.933518i | \(0.616722\pi\) | |||||||
\(228\) | −3.93281 | − | 0.622895i | −0.260456 | − | 0.0412522i | ||||
\(229\) | −14.1396 | − | 4.59424i | −0.934371 | − | 0.303596i | −0.198022 | − | 0.980198i | \(-0.563452\pi\) |
−0.736349 | + | 0.676602i | \(0.763452\pi\) | |||||||
\(230\) | 0 | 0 | ||||||||
\(231\) | −0.519539 | + | 5.10919i | −0.0341832 | + | 0.336160i | ||||
\(232\) | 9.14646 | + | 9.14646i | 0.600494 | + | 0.600494i | ||||
\(233\) | −4.93530 | + | 2.51466i | −0.323322 | + | 0.164741i | −0.608117 | − | 0.793848i | \(-0.708075\pi\) |
0.284794 | + | 0.958589i | \(0.408075\pi\) | |||||||
\(234\) | 9.82534 | + | 13.5234i | 0.642302 | + | 0.884054i | ||||
\(235\) | 0 | 0 | ||||||||
\(236\) | −1.89954 | − | 5.84618i | −0.123649 | − | 0.380554i | ||||
\(237\) | −10.4543 | − | 5.32676i | −0.679083 | − | 0.346010i | ||||
\(238\) | 0.508880 | + | 3.21294i | 0.0329858 | + | 0.208264i | ||||
\(239\) | 19.9985 | − | 14.5297i | 1.29359 | − | 0.939850i | 0.293721 | − | 0.955891i | \(-0.405106\pi\) |
0.999871 | + | 0.0160415i | \(0.00510638\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | − | 5.19700i | − | 0.334768i | −0.985892 | − | 0.167384i | \(-0.946468\pi\) | ||
0.985892 | − | 0.167384i | \(-0.0535320\pi\) | |||||||
\(242\) | 3.04958 | + | 11.0809i | 0.196034 | + | 0.712309i | ||||
\(243\) | −10.4972 | + | 10.4972i | −0.673394 | + | 0.673394i | ||||
\(244\) | −2.58278 | + | 7.94898i | −0.165346 | + | 0.508882i | ||||
\(245\) | 0 | 0 | ||||||||
\(246\) | 21.2969 | + | 15.4731i | 1.35784 | + | 0.986531i | ||||
\(247\) | −2.29278 | + | 4.49983i | −0.145886 | + | 0.286318i | ||||
\(248\) | −2.27325 | + | 4.46151i | −0.144352 | + | 0.283306i | ||||
\(249\) | 25.8127 | + | 18.7540i | 1.63582 | + | 1.18849i | ||||
\(250\) | 0 | 0 | ||||||||
\(251\) | 3.85860 | − | 11.8755i | 0.243553 | − | 0.749578i | −0.752319 | − | 0.658799i | \(-0.771065\pi\) |
0.995871 | − | 0.0907782i | \(-0.0289354\pi\) | |||||||
\(252\) | −1.74143 | + | 1.74143i | −0.109700 | + | 0.109700i | ||||
\(253\) | −2.92099 | + | 2.38177i | −0.183641 | + | 0.149740i | ||||
\(254\) | 12.3536i | 0.775136i | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 13.4482 | − | 9.77068i | 0.840511 | − | 0.610667i | ||||
\(257\) | −1.99537 | − | 12.5983i | −0.124468 | − | 0.785859i | −0.968399 | − | 0.249407i | \(-0.919764\pi\) |
0.843931 | − | 0.536452i | \(-0.180236\pi\) | |||||||
\(258\) | −9.46603 | − | 4.82319i | −0.589330 | − | 0.300278i | ||||
\(259\) | 0.162583 | + | 0.500380i | 0.0101024 | + | 0.0310921i | ||||
\(260\) | 0 | 0 | ||||||||
\(261\) | −12.3376 | − | 16.9813i | −0.763679 | − | 1.05111i | ||||
\(262\) | 7.39566 | − | 3.76828i | 0.456906 | − | 0.232805i | ||||
\(263\) | 13.6161 | + | 13.6161i | 0.839605 | + | 0.839605i | 0.988807 | − | 0.149202i | \(-0.0476703\pi\) |
−0.149202 | + | 0.988807i | \(0.547670\pi\) | |||||||
\(264\) | −11.4564 | + | 25.9673i | −0.705091 | + | 1.59818i | ||||
\(265\) | 0 | 0 | ||||||||
\(266\) | 0.850405 | + | 0.276313i | 0.0521417 | + | 0.0169419i | ||||
\(267\) | −10.1487 | − | 1.60739i | −0.621088 | − | 0.0983707i | ||||
\(268\) | 3.32752 | − | 0.527027i | 0.203261 | − | 0.0321933i | ||||
\(269\) | 16.5446 | − | 5.37566i | 1.00874 | − | 0.327760i | 0.242387 | − | 0.970180i | \(-0.422070\pi\) |
0.766353 | + | 0.642420i | \(0.222070\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −18.6755 | + | 25.7046i | −1.13445 | + | 1.56144i | −0.355133 | + | 0.934816i | \(0.615564\pi\) |
−0.779321 | + | 0.626625i | \(0.784436\pi\) | |||||||
\(272\) | −1.20306 | + | 7.59585i | −0.0729465 | + | 0.460566i | ||||
\(273\) | 2.28084 | + | 4.47641i | 0.138043 | + | 0.270925i | ||||
\(274\) | 4.67539 | 0.282451 | ||||||||
\(275\) | 0 | 0 | ||||||||
\(276\) | −2.90704 | −0.174983 | ||||||||
\(277\) | −3.29581 | − | 6.46840i | −0.198026 | − | 0.388649i | 0.770545 | − | 0.637386i | \(-0.219984\pi\) |
−0.968571 | + | 0.248738i | \(0.919984\pi\) | |||||||
\(278\) | 3.69648 | − | 23.3386i | 0.221700 | − | 1.39976i | ||||
\(279\) | 4.77600 | − | 6.57360i | 0.285932 | − | 0.393551i | ||||
\(280\) | 0 | 0 | ||||||||
\(281\) | −5.27301 | + | 1.71330i | −0.314561 | + | 0.102207i | −0.462043 | − | 0.886858i | \(-0.652883\pi\) |
0.147481 | + | 0.989065i | \(0.452883\pi\) | |||||||
\(282\) | −11.8331 | + | 1.87418i | −0.704653 | + | 0.111606i | ||||
\(283\) | 13.6503 | + | 2.16199i | 0.811425 | + | 0.128517i | 0.548340 | − | 0.836255i | \(-0.315260\pi\) |
0.263085 | + | 0.964773i | \(0.415260\pi\) | |||||||
\(284\) | 5.92130 | + | 1.92395i | 0.351364 | + | 0.114165i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 8.38078 | + | 7.49494i | 0.495566 | + | 0.443185i | ||||
\(287\) | 3.47833 | + | 3.47833i | 0.205319 | + | 0.205319i | ||||
\(288\) | −20.4669 | + | 10.4284i | −1.20602 | + | 0.614499i | ||||
\(289\) | 8.85528 | + | 12.1882i | 0.520899 | + | 0.716956i | ||||
\(290\) | 0 | 0 | ||||||||
\(291\) | 14.5056 | + | 44.6436i | 0.850332 | + | 2.61705i | ||||
\(292\) | −8.16620 | − | 4.16089i | −0.477891 | − | 0.243497i | ||||
\(293\) | −1.06366 | − | 6.71571i | −0.0621400 | − | 0.392336i | −0.999082 | − | 0.0428502i | \(-0.986356\pi\) |
0.936942 | − | 0.349486i | \(-0.113644\pi\) | |||||||
\(294\) | −15.9435 | + | 11.5836i | −0.929843 | + | 0.675570i | ||||
\(295\) | 0 | 0 | ||||||||
\(296\) | 2.90773i | 0.169009i | ||||||||
\(297\) | 9.77176 | − | 15.1592i | 0.567015 | − | 0.879623i | ||||
\(298\) | −10.9233 | + | 10.9233i | −0.632770 | + | 0.632770i | ||||
\(299\) | −1.13937 | + | 3.50663i | −0.0658917 | + | 0.202794i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −1.60609 | − | 1.16689i | −0.0925737 | − | 0.0672587i | ||||
\(302\) | −3.15210 | + | 6.18634i | −0.181383 | + | 0.355984i | ||||
\(303\) | −0.818498 | + | 1.60639i | −0.0470215 | + | 0.0922848i | ||||
\(304\) | 1.71022 | + | 1.24254i | 0.0980876 | + | 0.0712648i | ||||
\(305\) | 0 | 0 | ||||||||
\(306\) | 9.01510 | − | 27.7456i | 0.515359 | − | 1.58611i | ||||
\(307\) | 5.54209 | − | 5.54209i | 0.316304 | − | 0.316304i | −0.531042 | − | 0.847346i | \(-0.678199\pi\) |
0.847346 | + | 0.531042i | \(0.178199\pi\) | |||||||
\(308\) | −0.897482 | + | 1.39228i | −0.0511388 | + | 0.0793327i | ||||
\(309\) | − | 5.81836i | − | 0.330995i | ||||||
\(310\) | 0 | 0 | ||||||||
\(311\) | −13.4223 | + | 9.75186i | −0.761108 | + | 0.552977i | −0.899250 | − | 0.437435i | \(-0.855887\pi\) |
0.138142 | + | 0.990412i | \(0.455887\pi\) | |||||||
\(312\) | 4.34353 | + | 27.4239i | 0.245904 | + | 1.55257i | ||||
\(313\) | −8.48544 | − | 4.32355i | −0.479625 | − | 0.244381i | 0.197425 | − | 0.980318i | \(-0.436742\pi\) |
−0.677050 | + | 0.735937i | \(0.736742\pi\) | |||||||
\(314\) | −0.521207 | − | 1.60411i | −0.0294134 | − | 0.0905251i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −2.22451 | − | 3.06178i | −0.125139 | − | 0.172239i | ||||
\(317\) | 21.4887 | − | 10.9490i | 1.20693 | − | 0.614960i | 0.269452 | − | 0.963014i | \(-0.413157\pi\) |
0.937474 | + | 0.348054i | \(0.113157\pi\) | |||||||
\(318\) | 14.6570 | + | 14.6570i | 0.821926 | + | 0.821926i | ||||
\(319\) | −10.5237 | − | 9.41134i | −0.589213 | − | 0.526934i | ||||
\(320\) | 0 | 0 | ||||||||
\(321\) | −23.9390 | − | 7.77826i | −1.33615 | − | 0.434140i | ||||
\(322\) | 0.644774 | + | 0.102122i | 0.0359319 | + | 0.00569105i | ||||
\(323\) | 8.70552 | − | 1.37882i | 0.484388 | − | 0.0767196i | ||||
\(324\) | 0.450544 | − | 0.146391i | 0.0250302 | − | 0.00813282i | ||||
\(325\) | 0 | 0 | ||||||||
\(326\) | 6.22079 | − | 8.56218i | 0.344538 | − | 0.474215i | ||||
\(327\) | −1.97386 | + | 12.4625i | −0.109155 | + | 0.689175i | ||||
\(328\) | 12.3422 | + | 24.2230i | 0.681485 | + | 1.33749i | ||||
\(329\) | −2.23875 | −0.123426 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 12.5641 | 0.690587 | 0.345294 | − | 0.938495i | \(-0.387779\pi\) | ||||
0.345294 | + | 0.938495i | \(0.387779\pi\) | |||||||
\(332\) | 4.67222 | + | 9.16976i | 0.256422 | + | 0.503256i | ||||
\(333\) | 0.738128 | − | 4.66036i | 0.0404492 | − | 0.255386i | ||||
\(334\) | −8.79299 | + | 12.1025i | −0.481131 | + | 0.662220i | ||||
\(335\) | 0 | 0 | ||||||||
\(336\) | 2.00001 | − | 0.649844i | 0.109110 | − | 0.0354519i | ||||
\(337\) | 16.2727 | − | 2.57734i | 0.886430 | − | 0.140397i | 0.303415 | − | 0.952858i | \(-0.401873\pi\) |
0.583015 | + | 0.812462i | \(0.301873\pi\) | |||||||
\(338\) | −2.55164 | − | 0.404140i | −0.138791 | − | 0.0219823i | ||||
\(339\) | −3.84544 | − | 1.24946i | −0.208855 | − | 0.0678612i | ||||
\(340\) | 0 | 0 | ||||||||
\(341\) | 2.20603 | − | 5.00024i | 0.119463 | − | 0.270778i | ||||
\(342\) | −5.67035 | − | 5.67035i | −0.306618 | − | 0.306618i | ||||
\(343\) | −6.71049 | + | 3.41917i | −0.362333 | + | 0.184618i | ||||
\(344\) | −6.44901 | − | 8.87630i | −0.347707 | − | 0.478578i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −5.34960 | − | 16.4644i | −0.287596 | − | 0.885130i | ||||
\(347\) | −12.6879 | − | 6.46480i | −0.681121 | − | 0.347049i | 0.0789590 | − | 0.996878i | \(-0.474840\pi\) |
−0.760080 | + | 0.649829i | \(0.774840\pi\) | |||||||
\(348\) | −1.70349 | − | 10.7554i | −0.0913167 | − | 0.576551i | ||||
\(349\) | 13.4408 | − | 9.76528i | 0.719467 | − | 0.522724i | −0.166747 | − | 0.986000i | \(-0.553326\pi\) |
0.886214 | + | 0.463276i | \(0.153326\pi\) | |||||||
\(350\) | 0 | 0 | ||||||||
\(351\) | − | 17.6440i | − | 0.941767i | ||||||
\(352\) | −11.9741 | + | 9.76368i | −0.638224 | + | 0.520406i | ||||
\(353\) | −7.78082 | + | 7.78082i | −0.414131 | + | 0.414131i | −0.883175 | − | 0.469044i | \(-0.844599\pi\) |
0.469044 | + | 0.883175i | \(0.344599\pi\) | |||||||
\(354\) | 6.15297 | − | 18.9369i | 0.327027 | − | 1.00649i | ||||
\(355\) | 0 | 0 | ||||||||
\(356\) | −2.68131 | − | 1.94809i | −0.142109 | − | 0.103248i | ||||
\(357\) | 3.98066 | − | 7.81248i | 0.210679 | − | 0.413481i | ||||
\(358\) | 9.48024 | − | 18.6060i | 0.501046 | − | 0.983358i | ||||
\(359\) | 10.6626 | + | 7.74686i | 0.562753 | + | 0.408864i | 0.832465 | − | 0.554077i | \(-0.186929\pi\) |
−0.269713 | + | 0.962941i | \(0.586929\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −5.12265 | + | 15.7659i | −0.269613 | + | 0.829783i | ||||
\(362\) | 19.8549 | − | 19.8549i | 1.04355 | − | 1.04355i | ||||
\(363\) | 10.9058 | − | 28.9950i | 0.572405 | − | 1.52184i | ||||
\(364\) | 1.62050i | 0.0849374i | ||||||||
\(365\) | 0 | 0 | ||||||||
\(366\) | −21.9028 | + | 15.9133i | −1.14488 | + | 0.831802i | ||||
\(367\) | −4.34925 | − | 27.4601i | −0.227029 | − | 1.43341i | −0.793121 | − | 0.609064i | \(-0.791545\pi\) |
0.566092 | − | 0.824342i | \(-0.308455\pi\) | |||||||
\(368\) | 1.37513 | + | 0.700661i | 0.0716834 | + | 0.0365245i | ||||
\(369\) | −13.6324 | − | 41.9563i | −0.709676 | − | 2.18416i | ||||
\(370\) | 0 | 0 | ||||||||
\(371\) | 2.27670 | + | 3.13361i | 0.118200 | + | 0.162689i | ||||
\(372\) | 3.75596 | − | 1.91376i | 0.194738 | − | 0.0992238i | ||||
\(373\) | −6.02155 | − | 6.02155i | −0.311784 | − | 0.311784i | 0.533816 | − | 0.845600i | \(-0.320757\pi\) |
−0.845600 | + | 0.533816i | \(0.820757\pi\) | |||||||
\(374\) | 1.98511 | − | 19.5218i | 0.102648 | − | 1.00945i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −11.7672 | − | 3.82339i | −0.606847 | − | 0.197176i | ||||
\(377\) | −13.6414 | − | 2.16059i | −0.702570 | − | 0.111276i | ||||
\(378\) | −3.08547 | + | 0.488690i | −0.158699 | + | 0.0251355i | ||||
\(379\) | −4.14195 | + | 1.34580i | −0.212758 | + | 0.0691292i | −0.413457 | − | 0.910524i | \(-0.635679\pi\) |
0.200699 | + | 0.979653i | \(0.435679\pi\) | |||||||
\(380\) | 0 | 0 | ||||||||
\(381\) | 19.5722 | − | 26.9388i | 1.00271 | − | 1.38012i | ||||
\(382\) | 2.11506 | − | 13.3540i | 0.108216 | − | 0.683248i | ||||
\(383\) | −3.08002 | − | 6.04488i | −0.157382 | − | 0.308879i | 0.798829 | − | 0.601558i | \(-0.205453\pi\) |
−0.956211 | + | 0.292679i | \(0.905453\pi\) | |||||||
\(384\) | −3.92473 | −0.200283 | ||||||||
\(385\) | 0 | 0 | ||||||||
\(386\) | −7.83388 | −0.398734 | ||||||||
\(387\) | 8.08287 | + | 15.8635i | 0.410875 | + | 0.806388i | ||||
\(388\) | −2.36857 | + | 14.9545i | −0.120246 | + | 0.759202i | ||||
\(389\) | −14.4727 | + | 19.9200i | −0.733797 | + | 1.00998i | 0.265155 | + | 0.964206i | \(0.414577\pi\) |
−0.998952 | + | 0.0457786i | \(0.985423\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 6.11997 | − | 1.98850i | 0.309500 | − | 0.100563i | ||||
\(392\) | −20.1017 | + | 3.18379i | −1.01529 | + | 0.160806i | ||||
\(393\) | −22.0974 | − | 3.49989i | −1.11467 | − | 0.176546i | ||||
\(394\) | 3.83771 | + | 1.24695i | 0.193341 | + | 0.0628203i | ||||
\(395\) | 0 | 0 | ||||||||
\(396\) | 12.8402 | − | 7.47128i | 0.645244 | − | 0.375446i | ||||
\(397\) | 20.7876 | + | 20.7876i | 1.04330 | + | 1.04330i | 0.999019 | + | 0.0442826i | \(0.0141002\pi\) |
0.0442826 | + | 0.999019i | \(0.485900\pi\) | |||||||
\(398\) | −11.5282 | + | 5.87390i | −0.577856 | + | 0.294432i | ||||
\(399\) | −1.41665 | − | 1.94986i | −0.0709214 | − | 0.0976149i | ||||
\(400\) | 0 | 0 | ||||||||
\(401\) | 7.65264 | + | 23.5524i | 0.382155 | + | 1.17615i | 0.938523 | + | 0.345216i | \(0.112194\pi\) |
−0.556369 | + | 0.830935i | \(0.687806\pi\) | |||||||
\(402\) | 9.72340 | + | 4.95432i | 0.484959 | + | 0.247099i | ||||
\(403\) | −0.836384 | − | 5.28072i | −0.0416633 | − | 0.263051i | ||||
\(404\) | −0.470467 | + | 0.341814i | −0.0234066 | + | 0.0170059i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 2.44537i | 0.121362i | ||||||||
\(407\) | −0.176812 | − | 3.16876i | −0.00876424 | − | 0.157069i | ||||
\(408\) | 34.2653 | − | 34.2653i | 1.69638 | − | 1.69638i | ||||
\(409\) | 3.09442 | − | 9.52366i | 0.153009 | − | 0.470915i | −0.844944 | − | 0.534854i | \(-0.820367\pi\) |
0.997954 | + | 0.0639396i | \(0.0203665\pi\) | |||||||
\(410\) | 0 | 0 | ||||||||
\(411\) | −10.1953 | − | 7.40734i | −0.502898 | − | 0.365377i | ||||
\(412\) | 0.852016 | − | 1.67218i | 0.0419758 | − | 0.0823822i | ||||
\(413\) | 1.68918 | − | 3.31520i | 0.0831190 | − | 0.163130i | ||||
\(414\) | −4.73643 | − | 3.44122i | −0.232783 | − | 0.169127i | ||||
\(415\) | 0 | 0 | ||||||||
\(416\) | −4.67068 | + | 14.3749i | −0.228999 | + | 0.704787i | ||||
\(417\) | −45.0367 | + | 45.0367i | −2.20545 | + | 2.20545i | ||||
\(418\) | −4.53347 | − | 2.92233i | −0.221739 | − | 0.142936i | ||||
\(419\) | 7.65743i | 0.374090i | 0.982351 | + | 0.187045i | \(0.0598910\pi\) | ||||
−0.982351 | + | 0.187045i | \(0.940109\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 17.5332 | − | 12.7386i | 0.854517 | − | 0.620843i | −0.0718707 | − | 0.997414i | \(-0.522897\pi\) |
0.926388 | + | 0.376571i | \(0.122897\pi\) | |||||||
\(422\) | 2.21575 | + | 13.9897i | 0.107861 | + | 0.681009i | ||||
\(423\) | 17.8892 | + | 9.11503i | 0.869805 | + | 0.443188i | ||||
\(424\) | 6.61501 | + | 20.3589i | 0.321253 | + | 0.988716i | ||||
\(425\) | 0 | 0 | ||||||||
\(426\) | 11.8540 | + | 16.3157i | 0.574329 | + | 0.790497i | ||||
\(427\) | −4.50764 | + | 2.29676i | −0.218140 | + | 0.111148i | ||||
\(428\) | −5.74098 | − | 5.74098i | −0.277501 | − | 0.277501i | ||||
\(429\) | −6.40101 | − | 29.6216i | −0.309044 | − | 1.43014i | ||||
\(430\) | 0 | 0 | ||||||||
\(431\) | 27.0858 | + | 8.80070i | 1.30468 | + | 0.423915i | 0.877206 | − | 0.480115i | \(-0.159405\pi\) |
0.427470 | + | 0.904030i | \(0.359405\pi\) | |||||||
\(432\) | −7.29448 | − | 1.15533i | −0.350956 | − | 0.0555860i | ||||
\(433\) | −12.3180 | + | 1.95098i | −0.591966 | + | 0.0937582i | −0.445228 | − | 0.895417i | \(-0.646877\pi\) |
−0.146738 | + | 0.989175i | \(0.546877\pi\) | |||||||
\(434\) | −0.900293 | + | 0.292523i | −0.0432154 | + | 0.0140415i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −2.39223 | + | 3.29262i | −0.114567 | + | 0.157688i | ||||
\(437\) | 0.276702 | − | 1.74703i | 0.0132365 | − | 0.0835717i | ||||
\(438\) | −13.4779 | − | 26.4519i | −0.643999 | − | 1.26392i | ||||
\(439\) | 16.9147 | 0.807294 | 0.403647 | − | 0.914915i | \(-0.367742\pi\) | ||||
0.403647 | + | 0.914915i | \(0.367742\pi\) | |||||||
\(440\) | 0 | 0 | ||||||||
\(441\) | 33.0261 | 1.57267 | ||||||||
\(442\) | −8.71491 | − | 17.1040i | −0.414526 | − | 0.813553i | ||||
\(443\) | −1.73048 | + | 10.9258i | −0.0822176 | + | 0.519102i | 0.911866 | + | 0.410487i | \(0.134641\pi\) |
−0.994084 | + | 0.108614i | \(0.965359\pi\) | |||||||
\(444\) | 1.43884 | − | 1.98039i | 0.0682844 | − | 0.0939854i | ||||
\(445\) | 0 | 0 | ||||||||
\(446\) | 5.20729 | − | 1.69195i | 0.246572 | − | 0.0801162i | ||||
\(447\) | 41.1258 | − | 6.51369i | 1.94518 | − | 0.308087i | ||||
\(448\) | 4.11822 | + | 0.652263i | 0.194568 | + | 0.0308165i | ||||
\(449\) | −4.29754 | − | 1.39635i | −0.202813 | − | 0.0658980i | 0.205849 | − | 0.978584i | \(-0.434005\pi\) |
−0.408662 | + | 0.912686i | \(0.634005\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −14.9231 | − | 25.6469i | −0.702701 | − | 1.20767i | ||||
\(452\) | −0.922199 | − | 0.922199i | −0.0433766 | − | 0.0433766i | ||||
\(453\) | 16.6748 | − | 8.49621i | 0.783449 | − | 0.399187i | ||||
\(454\) | −9.25549 | − | 12.7391i | −0.434381 | − | 0.597875i | ||||
\(455\) | 0 | 0 | ||||||||
\(456\) | −4.11612 | − | 12.6681i | −0.192755 | − | 0.593240i | ||||
\(457\) | 29.0702 | + | 14.8120i | 1.35985 | + | 0.692877i | 0.973331 | − | 0.229405i | \(-0.0736779\pi\) |
0.386517 | + | 0.922282i | \(0.373678\pi\) | |||||||
\(458\) | −2.42997 | − | 15.3422i | −0.113545 | − | 0.716895i | ||||
\(459\) | −24.9123 | + | 18.0998i | −1.16281 | + | 0.844829i | ||||
\(460\) | 0 | 0 | ||||||||
\(461\) | 23.4279i | 1.09114i | 0.838064 | + | 0.545572i | \(0.183688\pi\) | ||||
−0.838064 | + | 0.545572i | \(0.816312\pi\) | |||||||
\(462\) | −5.00274 | + | 1.93980i | −0.232749 | + | 0.0902479i | ||||
\(463\) | 29.2123 | − | 29.2123i | 1.35761 | − | 1.35761i | 0.480762 | − | 0.876851i | \(-0.340360\pi\) |
0.876851 | − | 0.480762i | \(-0.159640\pi\) | |||||||
\(464\) | −1.78649 | + | 5.49825i | −0.0829356 | + | 0.255250i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −4.68196 | − | 3.40165i | −0.216888 | − | 0.157578i | ||||
\(467\) | −12.8965 | + | 25.3107i | −0.596777 | + | 1.17124i | 0.373133 | + | 0.927778i | \(0.378284\pi\) |
−0.969910 | + | 0.243463i | \(0.921716\pi\) | |||||||
\(468\) | 6.59784 | − | 12.9490i | 0.304985 | − | 0.598567i | ||||
\(469\) | 1.64976 | + | 1.19862i | 0.0761789 | + | 0.0553472i | ||||
\(470\) | 0 | 0 | ||||||||
\(471\) | −1.40487 | + | 4.32374i | −0.0647329 | + | 0.199227i | ||||
\(472\) | 14.5403 | − | 14.5403i | 0.669273 | − | 0.669273i | ||||
\(473\) | 7.56766 | + | 9.28095i | 0.347962 | + | 0.426739i | ||||
\(474\) | − | 12.2590i | − | 0.563072i | ||||||
\(475\) | 0 | 0 | ||||||||
\(476\) | 2.28806 | − | 1.66237i | 0.104873 | − | 0.0761946i | ||||
\(477\) | −5.43407 | − | 34.3094i | −0.248809 | − | 1.57092i | ||||
\(478\) | 23.0121 | + | 11.7253i | 1.05255 | + | 0.536301i | ||||
\(479\) | 9.69547 | + | 29.8396i | 0.442998 | + | 1.36341i | 0.884665 | + | 0.466227i | \(0.154387\pi\) |
−0.441667 | + | 0.897179i | \(0.645613\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.82493 | − | 2.51180i | −0.0832096 | − | 0.114528i | ||||
\(482\) | 4.83806 | − | 2.46511i | 0.220367 | − | 0.112283i | ||||
\(483\) | −1.24422 | − | 1.24422i | −0.0566141 | − | 0.0566141i | ||||
\(484\) | 7.38019 | − | 6.73607i | 0.335463 | − | 0.306185i | ||||
\(485\) | 0 | 0 | ||||||||
\(486\) | −14.7513 | − | 4.79299i | −0.669133 | − | 0.217415i | ||||
\(487\) | 6.78843 | + | 1.07518i | 0.307613 | + | 0.0487211i | 0.308333 | − | 0.951279i | \(-0.400229\pi\) |
−0.000719535 | 1.00000i | \(0.500229\pi\) | ||||||||
\(488\) | −27.6152 | + | 4.37382i | −1.25008 | + | 0.197994i | ||||
\(489\) | −27.1306 | + | 8.81525i | −1.22689 | + | 0.398640i | ||||
\(490\) | 0 | 0 | ||||||||
\(491\) | 8.65794 | − | 11.9166i | 0.390728 | − | 0.537790i | −0.567659 | − | 0.823264i | \(-0.692151\pi\) |
0.958387 | + | 0.285473i | \(0.0921508\pi\) | |||||||
\(492\) | 3.58029 | − | 22.6051i | 0.161412 | − | 1.01911i | ||||
\(493\) | 10.9433 | + | 21.4773i | 0.492859 | + | 0.967291i | ||||
\(494\) | −5.27658 | −0.237405 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | −2.23795 | −0.100487 | ||||||||
\(497\) | 1.71088 | + | 3.35779i | 0.0767435 | + | 0.150618i | ||||
\(498\) | −5.21490 | + | 32.9256i | −0.233685 | + | 1.47543i | ||||
\(499\) | 15.5610 | − | 21.4179i | 0.696607 | − | 0.958797i | −0.303376 | − | 0.952871i | \(-0.598114\pi\) |
0.999982 | − | 0.00592589i | \(-0.00188628\pi\) | |||||||
\(500\) | 0 | 0 | ||||||||
\(501\) | 38.3486 | − | 12.4602i | 1.71329 | − | 0.556682i | ||||
\(502\) | 12.8856 | − | 2.04088i | 0.575112 | − | 0.0910888i | ||||
\(503\) | 30.0639 | + | 4.76166i | 1.34049 | + | 0.212312i | 0.785145 | − | 0.619312i | \(-0.212588\pi\) |
0.555340 | + | 0.831624i | \(0.312588\pi\) | |||||||
\(504\) | −7.83523 | − | 2.54582i | −0.349009 | − | 0.113400i | ||||
\(505\) | 0 | 0 | ||||||||
\(506\) | −3.60279 | − | 1.58949i | −0.160163 | − | 0.0706615i | ||||
\(507\) | 4.92391 | + | 4.92391i | 0.218678 | + | 0.218678i | ||||
\(508\) | 9.56978 | − | 4.87604i | 0.424590 | − | 0.216339i | ||||
\(509\) | 2.38516 | + | 3.28290i | 0.105721 | + | 0.145512i | 0.858599 | − | 0.512648i | \(-0.171335\pi\) |
−0.752879 | + | 0.658159i | \(0.771335\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | −1.71429 | − | 5.27604i | −0.0758357 | − | 0.233398i | ||||
\(512\) | 12.9913 | + | 6.61940i | 0.574140 | + | 0.292539i | ||||
\(513\) | 1.32411 | + | 8.36013i | 0.0584611 | + | 0.369109i | ||||
\(514\) | 10.7817 | − | 7.83334i | 0.475559 | − | 0.345514i | ||||
\(515\) | 0 | 0 | ||||||||
\(516\) | 9.23663i | 0.406620i | ||||||||
\(517\) | 13.0560 | + | 3.45108i | 0.574202 | + | 0.151778i | ||||
\(518\) | −0.388701 | + | 0.388701i | −0.0170786 | + | 0.0170786i | ||||
\(519\) | −14.4194 | + | 44.3783i | −0.632941 | + | 1.94799i | ||||
\(520\) | 0 | 0 | ||||||||
\(521\) | −14.1602 | − | 10.2880i | −0.620370 | − | 0.450725i | 0.232681 | − | 0.972553i | \(-0.425250\pi\) |
−0.853051 | + | 0.521828i | \(0.825250\pi\) | |||||||
\(522\) | 9.95627 | − | 19.5403i | 0.435774 | − | 0.855255i | ||||
\(523\) | −7.88844 | + | 15.4819i | −0.344938 | + | 0.676978i | −0.996676 | − | 0.0814656i | \(-0.974040\pi\) |
0.651739 | + | 0.758444i | \(0.274040\pi\) | |||||||
\(524\) | −5.83821 | − | 4.24171i | −0.255044 | − | 0.185300i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −6.21710 | + | 19.1343i | −0.271078 | + | 0.834293i | ||||
\(527\) | −6.59808 | + | 6.59808i | −0.287417 | + | 0.287417i | ||||
\(528\) | −12.6655 | + | 0.706715i | −0.551194 | + | 0.0307558i | ||||
\(529\) | 21.7086i | 0.943854i | ||||||||
\(530\) | 0 | 0 | ||||||||
\(531\) | −26.9955 | + | 19.6134i | −1.17151 | + | 0.851149i | ||||
\(532\) | −0.121612 | − | 0.767831i | −0.00527257 | − | 0.0332897i | ||||
\(533\) | −25.8642 | − | 13.1785i | −1.12030 | − | 0.570823i | ||||
\(534\) | −3.31748 | − | 10.2102i | −0.143561 | − | 0.441837i | ||||
\(535\) | 0 | 0 | ||||||||
\(536\) | 6.62435 | + | 9.11763i | 0.286128 | + | 0.393822i | ||||
\(537\) | −50.1509 | + | 25.5532i | −2.16417 | + | 1.10270i | ||||
\(538\) | 12.8520 | + | 12.8520i | 0.554090 | + | 0.554090i | ||||
\(539\) | 21.7126 | − | 4.69193i | 0.935226 | − | 0.202096i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −35.0319 | − | 11.3826i | −1.50614 | − | 0.489375i | −0.564339 | − | 0.825543i | \(-0.690869\pi\) |
−0.941802 | + | 0.336169i | \(0.890869\pi\) | |||||||
\(542\) | −32.7876 | − | 5.19305i | −1.40835 | − | 0.223061i | ||||
\(543\) | −74.7528 | + | 11.8397i | −3.20795 | + | 0.508089i | ||||
\(544\) | 25.0879 | − | 8.15154i | 1.07563 | − | 0.349495i | ||||
\(545\) | 0 | 0 | ||||||||
\(546\) | −3.08535 | + | 4.24662i | −0.132041 | + | 0.181739i | ||||
\(547\) | −1.35549 | + | 8.55820i | −0.0579564 | + | 0.365922i | 0.941616 | + | 0.336688i | \(0.109307\pi\) |
−0.999573 | + | 0.0292340i | \(0.990693\pi\) | |||||||
\(548\) | −1.84540 | − | 3.62180i | −0.0788316 | − | 0.154716i | ||||
\(549\) | 45.3705 | 1.93637 | ||||||||
\(550\) | 0 | 0 | ||||||||
\(551\) | 6.62577 | 0.282267 | ||||||||
\(552\) | −4.41490 | − | 8.66473i | −0.187911 | − | 0.368796i | ||||
\(553\) | 0.358354 | − | 2.26256i | 0.0152387 | − | 0.0962136i | ||||
\(554\) | 4.45833 | − | 6.13636i | 0.189416 | − | 0.260709i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −19.5384 | + | 6.34840i | −0.828611 | + | 0.269232i | ||||
\(557\) | −8.27356 | + | 1.31040i | −0.350562 | + | 0.0555236i | −0.329232 | − | 0.944249i | \(-0.606790\pi\) |
−0.0213297 | + | 0.999772i | \(0.506790\pi\) | |||||||
\(558\) | 8.38500 | + | 1.32805i | 0.354965 | + | 0.0562210i | ||||
\(559\) | 11.1417 | + | 3.62017i | 0.471245 | + | 0.153117i | ||||
\(560\) | 0 | 0 | ||||||||
\(561\) | −35.2576 | + | 39.4248i | −1.48858 | + | 1.66452i | ||||
\(562\) | −4.09614 | − | 4.09614i | −0.172785 | − | 0.172785i | ||||
\(563\) | −26.8581 | + | 13.6849i | −1.13193 | + | 0.576748i | −0.916605 | − | 0.399794i | \(-0.869082\pi\) |
−0.215327 | + | 0.976542i | \(0.569082\pi\) | |||||||
\(564\) | 6.12244 | + | 8.42682i | 0.257801 | + | 0.354833i | ||||
\(565\) | 0 | 0 | ||||||||
\(566\) | 4.46212 | + | 13.7330i | 0.187557 | + | 0.577241i | ||||
\(567\) | 0.255490 | + | 0.130179i | 0.0107296 | + | 0.00546700i | ||||
\(568\) | 3.25812 | + | 20.5709i | 0.136708 | + | 0.863137i | ||||
\(569\) | −21.9297 | + | 15.9329i | −0.919341 | + | 0.667940i | −0.943360 | − | 0.331771i | \(-0.892354\pi\) |
0.0240192 | + | 0.999711i | \(0.492354\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | − | 6.30511i | − | 0.263861i | −0.991259 | − | 0.131930i | \(-0.957883\pi\) | ||
0.991259 | − | 0.131930i | \(-0.0421175\pi\) | |||||||
\(572\) | 2.49804 | − | 9.45049i | 0.104448 | − | 0.395145i | ||||
\(573\) | −25.7692 | + | 25.7692i | −1.07652 | + | 1.07652i | ||||
\(574\) | −1.58820 | + | 4.88797i | −0.0662902 | + | 0.204020i | ||||
\(575\) | 0 | 0 | ||||||||
\(576\) | −30.2519 | − | 21.9793i | −1.26050 | − | 0.915805i | ||||
\(577\) | 10.7963 | − | 21.1889i | 0.449456 | − | 0.882107i | −0.549458 | − | 0.835521i | \(-0.685166\pi\) |
0.998914 | − | 0.0465858i | \(-0.0148341\pi\) | |||||||
\(578\) | −7.14608 | + | 14.0250i | −0.297238 | + | 0.583362i | ||||
\(579\) | 17.0829 | + | 12.4114i | 0.709939 | + | 0.515801i | ||||
\(580\) | 0 | 0 | ||||||||
\(581\) | −1.92496 | + | 5.92442i | −0.0798608 | + | 0.245786i | ||||
\(582\) | −34.6797 | + | 34.6797i | −1.43752 | + | 1.43752i | ||||
\(583\) | −8.44680 | − | 21.7842i | −0.349831 | − | 0.902211i | ||||
\(584\) | − | 30.6593i | − | 1.26869i | ||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | 5.74735 | − | 4.17569i | 0.237421 | − | 0.172496i | ||||
\(587\) | −1.70730 | − | 10.7795i | −0.0704680 | − | 0.444917i | −0.997544 | − | 0.0700437i | \(-0.977686\pi\) |
0.927076 | − | 0.374874i | \(-0.122314\pi\) | |||||||
\(588\) | 15.2663 | + | 7.77855i | 0.629570 | + | 0.320782i | ||||
\(589\) | 0.792596 | + | 2.43936i | 0.0326584 | + | 0.100512i | ||||
\(590\) | 0 | 0 | ||||||||
\(591\) | −6.39308 | − | 8.79931i | −0.262976 | − | 0.361955i | ||||
\(592\) | −1.15794 | + | 0.589999i | −0.0475910 | + | 0.0242488i | ||||
\(593\) | 26.5198 | + | 26.5198i | 1.08904 | + | 1.08904i | 0.995628 | + | 0.0934112i | \(0.0297771\pi\) |
0.0934112 | + | 0.995628i | \(0.470223\pi\) | |||||||
\(594\) | 18.7472 | + | 1.90635i | 0.769208 | + | 0.0782187i | ||||
\(595\) | 0 | 0 | ||||||||
\(596\) | 12.7732 | + | 4.15028i | 0.523213 | + | 0.170002i | ||||
\(597\) | 34.4450 | + | 5.45554i | 1.40974 | + | 0.223281i | ||||
\(598\) | −3.80488 | + | 0.602634i | −0.155593 | + | 0.0246435i | ||||
\(599\) | −42.0288 | + | 13.6560i | −1.71725 | + | 0.557968i | −0.991513 | − | 0.130006i | \(-0.958500\pi\) |
−0.725735 | + | 0.687974i | \(0.758500\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 21.8365 | − | 30.0554i | 0.890730 | − | 1.22599i | −0.0826012 | − | 0.996583i | \(-0.526323\pi\) |
0.973332 | − | 0.229403i | \(-0.0736772\pi\) | |||||||
\(602\) | 0.324476 | − | 2.04866i | 0.0132247 | − | 0.0834972i | ||||
\(603\) | −8.30263 | − | 16.2948i | −0.338109 | − | 0.663577i | ||||
\(604\) | 6.03642 | 0.245618 | ||||||||
\(605\) | 0 | 0 | ||||||||
\(606\) | −1.88368 | −0.0765194 | ||||||||
\(607\) | −20.5058 | − | 40.2449i | −0.832306 | − | 1.63349i | −0.772269 | − | 0.635295i | \(-0.780878\pi\) |
−0.0600364 | − | 0.998196i | \(-0.519122\pi\) | |||||||
\(608\) | 1.13430 | − | 7.16167i | 0.0460018 | − | 0.290444i | ||||
\(609\) | 3.87426 | − | 5.33246i | 0.156993 | − | 0.216082i | ||||
\(610\) | 0 | 0 | ||||||||
\(611\) | 12.5645 | − | 4.08245i | 0.508305 | − | 0.165158i | ||||
\(612\) | −25.0515 | + | 3.96777i | −1.01265 | + | 0.160388i | ||||
\(613\) | 13.9243 | + | 2.20539i | 0.562397 | + | 0.0890749i | 0.431159 | − | 0.902276i | \(-0.358105\pi\) |
0.131238 | + | 0.991351i | \(0.458105\pi\) | |||||||
\(614\) | 7.78811 | + | 2.53051i | 0.314302 | + | 0.102123i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −5.51285 | − | 0.560586i | −0.222119 | − | 0.0225867i | ||||
\(617\) | 17.9495 | + | 17.9495i | 0.722618 | + | 0.722618i | 0.969138 | − | 0.246520i | \(-0.0792870\pi\) |
−0.246520 | + | 0.969138i | \(0.579287\pi\) | |||||||
\(618\) | 5.41650 | − | 2.75984i | 0.217884 | − | 0.111017i | ||||
\(619\) | −15.8217 | − | 21.7768i | −0.635930 | − | 0.875282i | 0.362461 | − | 0.931999i | \(-0.381937\pi\) |
−0.998390 | + | 0.0567171i | \(0.981937\pi\) | |||||||
\(620\) | 0 | 0 | ||||||||
\(621\) | 1.90961 | + | 5.87716i | 0.0766298 | + | 0.235842i | ||||
\(622\) | −15.4450 | − | 7.86961i | −0.619287 | − | 0.315543i | ||||
\(623\) | −0.313823 | − | 1.98140i | −0.0125730 | − | 0.0793831i | ||||
\(624\) | −10.0396 | + | 7.29421i | −0.401907 | + | 0.292002i | ||||
\(625\) | 0 | 0 | ||||||||
\(626\) | − | 9.95017i | − | 0.397689i | ||||||
\(627\) | 5.25594 | + | 13.5550i | 0.209902 | + | 0.541336i | ||||
\(628\) | −1.03690 | + | 1.03690i | −0.0413770 | + | 0.0413770i | ||||
\(629\) | −1.67444 | + | 5.15339i | −0.0667642 | + | 0.205479i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 4.56785 | + | 3.31874i | 0.181843 | + | 0.132117i | 0.674983 | − | 0.737833i | \(-0.264151\pi\) |
−0.493140 | + | 0.869950i | \(0.664151\pi\) | |||||||
\(632\) | 5.74761 | − | 11.2803i | 0.228628 | − | 0.448707i | ||||
\(633\) | 17.3325 | − | 34.0170i | 0.688905 | − | 1.35205i | ||||
\(634\) | 20.3857 | + | 14.8110i | 0.809618 | + | 0.588222i | ||||
\(635\) | 0 | 0 | ||||||||
\(636\) | 5.56891 | − | 17.1393i | 0.220821 | − | 0.679619i | ||||
\(637\) | 15.3663 | − | 15.3663i | 0.608835 | − | 0.608835i | ||||
\(638\) | 3.76958 | − | 14.2610i | 0.149239 | − | 0.564597i | ||||
\(639\) | − | 33.7970i | − | 1.33699i | ||||||
\(640\) | 0 | 0 | ||||||||
\(641\) | −27.9714 | + | 20.3224i | −1.10480 | + | 0.802686i | −0.981837 | − | 0.189725i | \(-0.939240\pi\) |
−0.122965 | + | 0.992411i | \(0.539240\pi\) | |||||||
\(642\) | −4.11405 | − | 25.9751i | −0.162369 | − | 1.02516i | ||||
\(643\) | −17.2668 | − | 8.79786i | −0.680935 | − | 0.346954i | 0.0790717 | − | 0.996869i | \(-0.474804\pi\) |
−0.760007 | + | 0.649915i | \(0.774804\pi\) | |||||||
\(644\) | −0.175387 | − | 0.539784i | −0.00691120 | − | 0.0212705i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 5.41291 | + | 7.45023i | 0.212968 | + | 0.293126i | ||||
\(647\) | 18.4816 | − | 9.41683i | 0.726586 | − | 0.370214i | −0.0512465 | − | 0.998686i | \(-0.516319\pi\) |
0.777832 | + | 0.628472i | \(0.216319\pi\) | |||||||
\(648\) | 1.12057 | + | 1.12057i | 0.0440202 | + | 0.0440202i | ||||
\(649\) | −14.9614 | + | 16.7298i | −0.587288 | + | 0.656700i | ||||
\(650\) | 0 | 0 | ||||||||
\(651\) | 2.42666 | + | 0.788470i | 0.0951084 | + | 0.0309026i | ||||
\(652\) | −9.08810 | − | 1.43941i | −0.355917 | − | 0.0563718i | ||||
\(653\) | 32.3979 | − | 5.13133i | 1.26783 | − | 0.200804i | 0.513951 | − | 0.857820i | \(-0.328181\pi\) |
0.753877 | + | 0.657015i | \(0.228181\pi\) | |||||||
\(654\) | −12.5380 | + | 4.07383i | −0.490273 | + | 0.159299i | ||||
\(655\) | 0 | 0 | ||||||||
\(656\) | −7.14192 | + | 9.83001i | −0.278845 | + | 0.383797i | ||||
\(657\) | −7.78287 | + | 49.1391i | −0.303639 | + | 1.91710i | ||||
\(658\) | −1.06191 | − | 2.08413i | −0.0413978 | − | 0.0812477i | ||||
\(659\) | 3.99211 | 0.155511 | 0.0777553 | − | 0.996972i | \(-0.475225\pi\) | ||||
0.0777553 | + | 0.996972i | \(0.475225\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | 42.4892 | 1.65264 | 0.826318 | − | 0.563204i | \(-0.190431\pi\) | ||||
0.826318 | + | 0.563204i | \(0.190431\pi\) | |||||||
\(662\) | 5.95960 | + | 11.6964i | 0.231626 | + | 0.454592i | ||||
\(663\) | −8.09420 | + | 51.1048i | −0.314353 | + | 1.98475i | ||||
\(664\) | −20.2358 | + | 27.8521i | −0.785299 | + | 1.08087i | ||||
\(665\) | 0 | 0 | ||||||||
\(666\) | 4.68860 | − | 1.52342i | 0.181679 | − | 0.0590312i | ||||
\(667\) | 4.77776 | − | 0.756723i | 0.184996 | − | 0.0293004i | ||||
\(668\) | 12.8459 | + | 2.03459i | 0.497022 | + | 0.0787206i | ||||
\(669\) | −14.0358 | − | 4.56051i | −0.542656 | − | 0.176320i | ||||
\(670\) | 0 | 0 | ||||||||
\(671\) | 29.8282 | − | 6.44567i | 1.15151 | − | 0.248832i | ||||
\(672\) | −5.10050 | − | 5.10050i | −0.196756 | − | 0.196756i | ||||
\(673\) | −0.563270 | + | 0.287000i | −0.0217125 | + | 0.0110631i | −0.464813 | − | 0.885409i | \(-0.653878\pi\) |
0.443101 | + | 0.896472i | \(0.353878\pi\) | |||||||
\(674\) | 10.1180 | + | 13.9263i | 0.389731 | + | 0.536419i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 0.694078 | + | 2.13615i | 0.0266953 | + | 0.0821597i | ||||
\(677\) | −4.26823 | − | 2.17477i | −0.164041 | − | 0.0835833i | 0.370042 | − | 0.929015i | \(-0.379343\pi\) |
−0.534084 | + | 0.845432i | \(0.679343\pi\) | |||||||
\(678\) | −0.660859 | − | 4.17250i | −0.0253801 | − | 0.160244i | ||||
\(679\) | −7.41436 | + | 5.38685i | −0.284537 | + | 0.206728i | ||||
\(680\) | 0 | 0 | ||||||||
\(681\) | 42.4430i | 1.62642i | ||||||||
\(682\) | 5.70128 | − | 0.318123i | 0.218313 | − | 0.0121816i | ||||
\(683\) | 6.48359 | − | 6.48359i | 0.248088 | − | 0.248088i | −0.572098 | − | 0.820186i | \(-0.693870\pi\) |
0.820186 | + | 0.572098i | \(0.193870\pi\) | |||||||
\(684\) | −2.15444 | + | 6.63067i | −0.0823769 | + | 0.253530i | ||||
\(685\) | 0 | 0 | ||||||||
\(686\) | −6.36603 | − | 4.62519i | −0.243056 | − | 0.176591i | ||||
\(687\) | −19.0082 | + | 37.3057i | −0.725208 | + | 1.42330i | ||||
\(688\) | 2.22623 | − | 4.36923i | 0.0848744 | − | 0.166575i | ||||
\(689\) | −18.4918 | − | 13.4350i | −0.704480 | − | 0.511834i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 9.76613 | − | 30.0571i | 0.371521 | − | 1.14342i | −0.574275 | − | 0.818663i | \(-0.694716\pi\) |
0.945796 | − | 0.324762i | \(-0.105284\pi\) | |||||||
\(692\) | −10.6427 | + | 10.6427i | −0.404573 | + | 0.404573i | ||||
\(693\) | 8.69339 | + | 2.29791i | 0.330234 | + | 0.0872905i | ||||
\(694\) | − | 14.8780i | − | 0.564762i | ||||||
\(695\) | 0 | 0 | ||||||||
\(696\) | 29.4706 | − | 21.4116i | 1.11708 | − | 0.811605i | ||||
\(697\) | 7.92520 | + | 50.0378i | 0.300189 | + | 1.89532i | ||||
\(698\) | 15.4662 | + | 7.88044i | 0.585405 | + | 0.298279i | ||||
\(699\) | 4.82035 | + | 14.8355i | 0.182322 | + | 0.561130i | ||||
\(700\) | 0 | 0 | ||||||||
\(701\) | 9.60255 | + | 13.2168i | 0.362683 | + | 0.499191i | 0.950894 | − | 0.309517i | \(-0.100167\pi\) |
−0.588211 | + | 0.808708i | \(0.700167\pi\) | |||||||
\(702\) | 16.4254 | − | 8.36914i | 0.619936 | − | 0.315873i | ||||
\(703\) | 1.05319 | + | 1.05319i | 0.0397220 | + | 0.0397220i | ||||
\(704\) | −23.0113 | − | 10.1522i | −0.867271 | − | 0.382626i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −10.9341 | − | 3.55271i | −0.411511 | − | 0.133708i | ||||
\(707\) | −0.347659 | − | 0.0550638i | −0.0130751 | − | 0.00207089i | ||||
\(708\) | −17.0981 | + | 2.70808i | −0.642587 | + | 0.101776i | ||||
\(709\) | −18.1917 | + | 5.91083i | −0.683202 | + | 0.221986i | −0.629997 | − | 0.776598i | \(-0.716944\pi\) |
−0.0532052 | + | 0.998584i | \(0.516944\pi\) | |||||||
\(710\) | 0 | 0 | ||||||||
\(711\) | −12.0755 | + | 16.6204i | −0.452865 | + | 0.623315i | ||||
\(712\) | 1.73438 | − | 10.9505i | 0.0649988 | − | 0.410386i | ||||
\(713\) | 0.850128 | + | 1.66847i | 0.0318376 | + | 0.0624847i | ||||
\(714\) | 9.16106 | 0.342844 | ||||||||
\(715\) | 0 | 0 | ||||||||
\(716\) | −18.1551 | −0.678488 | ||||||||
\(717\) | −31.6045 | − | 62.0273i | −1.18029 | − | 2.31645i | ||||
\(718\) | −2.15415 | + | 13.6008i | −0.0803923 | + | 0.507577i | ||||
\(719\) | 8.94663 | − | 12.3140i | 0.333653 | − | 0.459234i | −0.608921 | − | 0.793231i | \(-0.708397\pi\) |
0.942574 | + | 0.333997i | \(0.108397\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | 1.08036 | − | 0.351031i | 0.0402348 | − | 0.0130731i | ||||
\(722\) | −17.1068 | + | 2.70945i | −0.636650 | + | 0.100835i | ||||
\(723\) | −14.4556 | − | 2.28954i | −0.537609 | − | 0.0851489i | ||||
\(724\) | −23.2174 | − | 7.54381i | −0.862870 | − | 0.280363i | ||||
\(725\) | 0 | 0 | ||||||||
\(726\) | 32.1654 | − | 3.60077i | 1.19377 | − | 0.133637i | ||||
\(727\) | −5.98783 | − | 5.98783i | −0.222076 | − | 0.222076i | 0.587296 | − | 0.809372i | \(-0.300192\pi\) |
−0.809372 | + | 0.587296i | \(0.800192\pi\) | |||||||
\(728\) | −4.83008 | + | 2.46105i | −0.179015 | + | 0.0912125i | ||||
\(729\) | 25.4932 | + | 35.0884i | 0.944193 | + | 1.29957i | ||||
\(730\) | 0 | 0 | ||||||||
\(731\) | −6.31812 | − | 19.4452i | −0.233684 | − | 0.719206i | ||||
\(732\) | 20.9725 | + | 10.6860i | 0.775164 | + | 0.394966i | ||||
\(733\) | 4.57591 | + | 28.8912i | 0.169015 | + | 1.06712i | 0.915677 | + | 0.401915i | \(0.131655\pi\) |
−0.746662 | + | 0.665204i | \(0.768345\pi\) | |||||||
\(734\) | 23.5005 | − | 17.0741i | 0.867420 | − | 0.630217i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | − | 5.29374i | − | 0.195130i | ||||||
\(737\) | −7.77342 | − | 9.53329i | −0.286338 | − | 0.351163i | ||||
\(738\) | 32.5922 | − | 32.5922i | 1.19973 | − | 1.19973i | ||||
\(739\) | 13.4702 | − | 41.4569i | 0.495508 | − | 1.52502i | −0.320656 | − | 0.947196i | \(-0.603903\pi\) |
0.816164 | − | 0.577821i | \(-0.196097\pi\) | |||||||
\(740\) | 0 | 0 | ||||||||
\(741\) | 11.5063 | + | 8.35982i | 0.422695 | + | 0.307106i | ||||
\(742\) | −1.83726 | + | 3.60583i | −0.0674480 | + | 0.132374i | ||||
\(743\) | 20.8901 | − | 40.9991i | 0.766384 | − | 1.50411i | −0.0946199 | − | 0.995513i | \(-0.530164\pi\) |
0.861004 | − | 0.508599i | \(-0.169836\pi\) | |||||||
\(744\) | 11.4083 | + | 8.28863i | 0.418249 | + | 0.303876i | ||||
\(745\) | 0 | 0 | ||||||||
\(746\) | 2.74943 | − | 8.46188i | 0.100664 | − | 0.309811i | ||||
\(747\) | 39.5030 | − | 39.5030i | 1.44534 | − | 1.44534i | ||||
\(748\) | −15.9061 | + | 6.16757i | −0.581585 | + | 0.225509i | ||||
\(749\) | − | 4.91432i | − | 0.179565i | ||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 2.65295 | − | 1.92748i | 0.0968077 | − | 0.0703349i | −0.538328 | − | 0.842735i | \(-0.680944\pi\) |
0.635136 | + | 0.772400i | \(0.280944\pi\) | |||||||
\(752\) | −0.865065 | − | 5.46181i | −0.0315457 | − | 0.199172i | ||||
\(753\) | −31.3322 | − | 15.9646i | −1.14181 | − | 0.581781i | ||||
\(754\) | −4.45923 | − | 13.7241i | −0.162396 | − | 0.499802i | ||||
\(755\) | 0 | 0 | ||||||||
\(756\) | 1.59642 | + | 2.19728i | 0.0580611 | + | 0.0799142i | ||||
\(757\) | 16.6423 | − | 8.47970i | 0.604876 | − | 0.308200i | −0.124599 | − | 0.992207i | \(-0.539764\pi\) |
0.729475 | + | 0.684007i | \(0.239764\pi\) | |||||||
\(758\) | −3.21752 | − | 3.21752i | −0.116866 | − | 0.116866i | ||||
\(759\) | 5.33810 | + | 9.17409i | 0.193761 | + | 0.332998i | ||||
\(760\) | 0 | 0 | ||||||||
\(761\) | −3.30619 | − | 1.07424i | −0.119849 | − | 0.0389413i | 0.248478 | − | 0.968637i | \(-0.420069\pi\) |
−0.368328 | + | 0.929696i | \(0.620069\pi\) | |||||||
\(762\) | 34.3619 | + | 5.44240i | 1.24480 | + | 0.197157i | ||||
\(763\) | −2.43314 | + | 0.385371i | −0.0880855 | + | 0.0139514i | ||||
\(764\) | −11.1795 | + | 3.63244i | −0.404460 | + | 0.131417i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 4.16642 | − | 5.73459i | 0.150539 | − | 0.207199i | ||||
\(767\) | −3.43474 | + | 21.6861i | −0.124021 | + | 0.783040i | ||||
\(768\) | −21.2528 | − | 41.7109i | −0.766894 | − | 1.50511i | ||||
\(769\) | 40.6658 | 1.46645 | 0.733223 | − | 0.679989i | \(-0.238015\pi\) | ||||
0.733223 | + | 0.679989i | \(0.238015\pi\) | |||||||
\(770\) | 0 | 0 | ||||||||
\(771\) | −35.9215 | −1.29368 | ||||||||
\(772\) | 3.09208 | + | 6.06854i | 0.111286 | + | 0.218412i | ||||
\(773\) | 6.74385 | − | 42.5790i | 0.242559 | − | 1.53146i | −0.502568 | − | 0.864538i | \(-0.667611\pi\) |
0.745128 | − | 0.666922i | \(-0.232389\pi\) | |||||||
\(774\) | −10.9339 | + | 15.0492i | −0.393011 | + | 0.540933i | ||||
\(775\) | 0 | 0 | ||||||||
\(776\) | −48.1707 | + | 15.6516i | −1.72923 | + | 0.561861i | ||||
\(777\) | 1.46345 | − | 0.231787i | 0.0525008 | − | 0.00831531i | ||||
\(778\) | −25.4091 | − | 4.02440i | −0.910960 | − | 0.144282i | ||||
\(779\) | 13.2441 | + | 4.30326i | 0.474518 | + | 0.154180i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −4.80146 | − | 22.2194i | −0.171810 | − | 0.795074i | ||||
\(782\) | 4.75407 | + | 4.75407i | 0.170005 | + | 0.170005i | ||||
\(783\) | −20.6252 | + | 10.5091i | −0.737085 | + | 0.375564i | ||||
\(784\) | −5.34664 | − | 7.35902i | −0.190951 | − | 0.262822i | ||||
\(785\) | 0 | 0 | ||||||||
\(786\) | −7.22340 | − | 22.2313i | −0.257650 | − | 0.792965i | ||||
\(787\) | −23.4179 | − | 11.9320i | −0.834758 | − | 0.425331i | −0.0162795 | − | 0.999867i | \(-0.505182\pi\) |
−0.818479 | + | 0.574537i | \(0.805182\pi\) | |||||||
\(788\) | −0.548813 | − | 3.46507i | −0.0195506 | − | 0.123438i | ||||
\(789\) | 43.8721 | − | 31.8750i | 1.56189 | − | 1.13478i | ||||
\(790\) | 0 | 0 | ||||||||
\(791\) | − | 0.789410i | − | 0.0280682i | ||||||
\(792\) | 41.7693 | + | 26.9250i | 1.48421 | + | 0.956736i | ||||
\(793\) | 21.1099 | − | 21.1099i | 0.749635 | − | 0.749635i | ||||
\(794\) | −9.49161 | + | 29.2122i | −0.336845 | + | 1.03670i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 9.10047 | + | 6.61188i | 0.322558 | + | 0.234352i | ||||
\(797\) | −20.2679 | + | 39.7780i | −0.717925 | + | 1.40901i | 0.186534 | + | 0.982448i | \(0.440275\pi\) |
−0.904459 | + | 0.426560i | \(0.859725\pi\) | |||||||
\(798\) | 1.14322 | − | 2.24369i | 0.0404695 | − | 0.0794259i | ||||
\(799\) | −18.6533 | − | 13.5524i | −0.659907 | − | 0.479450i | ||||
\(800\) | 0 | 0 | ||||||||
\(801\) | −5.55955 | + | 17.1105i | −0.196437 | + | 0.604572i | ||||
\(802\) | −18.2958 | + | 18.2958i | −0.646047 | + | 0.646047i | ||||
\(803\) | 1.86432 | + | 33.4116i | 0.0657902 | + | 1.17907i | ||||
\(804\) | − | 9.48776i | − | 0.334607i | ||||||
\(805\) | 0 | 0 | ||||||||
\(806\) | 4.51927 | − | 3.28344i | 0.159185 | − | 0.115654i | ||||
\(807\) | −7.66381 | − | 48.3874i | −0.269779 | − | 1.70332i | ||||
\(808\) | −1.73331 | − | 0.883165i | −0.0609776 | − | 0.0310696i | ||||
\(809\) | −17.0236 | − | 52.3932i | −0.598517 | − | 1.84205i | −0.536376 | − | 0.843979i | \(-0.680207\pi\) |
−0.0621416 | − | 0.998067i | \(-0.519793\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | 7.83988 | + | 10.7907i | 0.275295 | + | 0.378912i | 0.924168 | − | 0.381985i | \(-0.124759\pi\) |
−0.648873 | + | 0.760897i | \(0.724759\pi\) | |||||||
\(812\) | 1.89431 | − | 0.965200i | 0.0664773 | − | 0.0338719i | ||||
\(813\) | 63.2704 | + | 63.2704i | 2.21899 | + | 2.21899i | ||||
\(814\) | 2.86603 | − | 1.66765i | 0.100454 | − | 0.0584510i | ||||
\(815\) | 0 | 0 | ||||||||
\(816\) | 20.5980 | + | 6.69270i | 0.721075 | + | 0.234292i | ||||
\(817\) | −5.55089 | − | 0.879175i | −0.194201 | − | 0.0307584i | ||||
\(818\) | 10.3337 | − | 1.63669i | 0.361309 | − | 0.0572256i | ||||
\(819\) | 8.36612 | − | 2.71832i | 0.292336 | − | 0.0949857i | ||||
\(820\) | 0 | 0 | ||||||||
\(821\) | −4.26813 | + | 5.87458i | −0.148959 | + | 0.205024i | −0.876975 | − | 0.480535i | \(-0.840442\pi\) |
0.728016 | + | 0.685560i | \(0.240442\pi\) | |||||||
\(822\) | 2.05974 | − | 13.0047i | 0.0718418 | − | 0.453591i | ||||
\(823\) | −21.8556 | − | 42.8940i | −0.761837 | − | 1.49519i | −0.865681 | − | 0.500596i | \(-0.833114\pi\) |
0.103844 | − | 0.994594i | \(-0.466886\pi\) | |||||||
\(824\) | 6.27805 | 0.218706 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 3.88746 | 0.135262 | ||||||||
\(827\) | 16.7916 | + | 32.9554i | 0.583901 | + | 1.14597i | 0.974285 | + | 0.225318i | \(0.0723422\pi\) |
−0.390384 | + | 0.920652i | \(0.627658\pi\) | |||||||
\(828\) | −0.796255 | + | 5.02735i | −0.0276718 | + | 0.174713i | ||||
\(829\) | −12.5416 | + | 17.2620i | −0.435586 | + | 0.599533i | −0.969224 | − | 0.246180i | \(-0.920825\pi\) |
0.533638 | + | 0.845713i | \(0.320825\pi\) | |||||||
\(830\) | 0 | 0 | ||||||||
\(831\) | −19.4440 | + | 6.31774i | −0.674505 | + | 0.219160i | ||||
\(832\) | −24.3021 | + | 3.84907i | −0.842523 | + | 0.133442i | ||||
\(833\) | −37.4597 | − | 5.93303i | −1.29790 | − | 0.205567i | ||||
\(834\) | −63.2885 | − | 20.5637i | −2.19150 | − | 0.712062i | ||||
\(835\) | 0 | 0 | ||||||||
\(836\) | −0.474404 | + | 4.66533i | −0.0164076 | + | 0.161354i | ||||
\(837\) | −6.33630 | − | 6.33630i | −0.219015 | − | 0.219015i | ||||
\(838\) | −7.12855 | + | 3.63218i | −0.246252 | + | 0.125471i | ||||
\(839\) | −12.5857 | − | 17.3228i | −0.434507 | − | 0.598048i | 0.534473 | − | 0.845186i | \(-0.320510\pi\) |
−0.968980 | + | 0.247137i | \(0.920510\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −3.36207 | − | 10.3474i | −0.115933 | − | 0.356806i | ||||
\(842\) | 20.1754 | + | 10.2799i | 0.695291 | + | 0.354268i | ||||
\(843\) | 2.44257 | + | 15.4218i | 0.0841267 | + | 0.531155i | ||||
\(844\) | 9.96260 | − | 7.23825i | 0.342927 | − | 0.249151i | ||||
\(845\) | 0 | 0 | ||||||||
\(846\) | 20.9772i | 0.721213i | ||||||||
\(847\) | 6.04181 | + | 0.275687i | 0.207599 | + | 0.00947272i | ||||
\(848\) | −6.76524 | + | 6.76524i | −0.232319 | + | 0.232319i | ||||
\(849\) | 12.0273 | − | 37.0161i | 0.412775 | − | 1.27039i | ||||
\(850\) | 0 | 0 | ||||||||
\(851\) | 0.879730 | + | 0.639161i | 0.0301567 | + | 0.0219102i | ||||
\(852\) | 7.96013 | − | 15.6226i | 0.272710 | − | 0.535223i | ||||
\(853\) | −13.3142 | + | 26.1306i | −0.455871 | + | 0.894696i | 0.542631 | + | 0.839971i | \(0.317428\pi\) |
−0.998501 | + | 0.0547251i | \(0.982572\pi\) | |||||||
\(854\) | −4.27625 | − | 3.10688i | −0.146330 | − | 0.106315i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | 8.39280 | − | 25.8304i | 0.286860 | − | 0.882864i | ||||
\(857\) | −14.3622 | + | 14.3622i | −0.490604 | + | 0.490604i | −0.908496 | − | 0.417893i | \(-0.862769\pi\) |
0.417893 | + | 0.908496i | \(0.362769\pi\) | |||||||
\(858\) | 24.5395 | − | 20.0094i | 0.837765 | − | 0.683111i | ||||
\(859\) | 21.7404i | 0.741772i | 0.928678 | + | 0.370886i | \(0.120946\pi\) | ||||
−0.928678 | + | 0.370886i | \(0.879054\pi\) | |||||||
\(860\) | 0 | 0 | ||||||||
\(861\) | 11.2074 | − | 8.14267i | 0.381948 | − | 0.277502i | ||||
\(862\) | 4.65484 | + | 29.3895i | 0.158544 | + | 1.00101i | ||||
\(863\) | −22.9709 | − | 11.7043i | −0.781938 | − | 0.398417i | 0.0169810 | − | 0.999856i | \(-0.494595\pi\) |
−0.798919 | + | 0.601438i | \(0.794595\pi\) | |||||||
\(864\) | 7.82813 | + | 24.0925i | 0.266318 | + | 0.819644i | ||||
\(865\) | 0 | 0 | ||||||||
\(866\) | −7.65908 | − | 10.5418i | −0.260266 | − | 0.358226i | ||||
\(867\) | 37.8031 | − | 19.2616i | 1.28386 | − | 0.654160i | ||||
\(868\) | 0.581954 | + | 0.581954i | 0.0197528 | + | 0.0197528i | ||||
\(869\) | −5.57763 | + | 12.6424i | −0.189208 | + | 0.428865i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −11.4447 | − | 3.71860i | −0.387788 | − | 0.126000i | ||||
\(872\) | −13.4471 | − | 2.12981i | −0.455375 | − | 0.0721244i | ||||
\(873\) | 81.1786 | − | 12.8574i | 2.74748 | − | 0.435158i | ||||
\(874\) | 1.75761 | − | 0.571084i | 0.0594522 | − | 0.0193172i | ||||
\(875\) | 0 | 0 | ||||||||
\(876\) | −15.1712 | + | 20.8814i | −0.512588 | + | 0.705517i | ||||
\(877\) | 7.20614 | − | 45.4978i | 0.243334 | − | 1.53635i | −0.499167 | − | 0.866506i | \(-0.666361\pi\) |
0.742501 | − | 0.669845i | \(-0.233639\pi\) | |||||||
\(878\) | 8.02321 | + | 15.7464i | 0.270770 | + | 0.531417i | ||||
\(879\) | −19.1485 | −0.645864 | ||||||||
\(880\) | 0 | 0 | ||||||||
\(881\) | 3.73181 | 0.125728 | 0.0628640 | − | 0.998022i | \(-0.479977\pi\) | ||||
0.0628640 | + | 0.998022i | \(0.479977\pi\) | |||||||
\(882\) | 15.6654 | + | 30.7450i | 0.527481 | + | 1.03524i | ||||
\(883\) | 3.92144 | − | 24.7590i | 0.131967 | − | 0.833207i | −0.829544 | − | 0.558441i | \(-0.811400\pi\) |
0.961511 | − | 0.274766i | \(-0.0886003\pi\) | |||||||
\(884\) | −9.80982 | + | 13.5021i | −0.329940 | + | 0.454123i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | −10.9920 | + | 3.57153i | −0.369285 | + | 0.119988i | ||||
\(887\) | 14.0482 | − | 2.22501i | 0.471692 | − | 0.0747087i | 0.0839369 | − | 0.996471i | \(-0.473251\pi\) |
0.387755 | + | 0.921762i | \(0.373251\pi\) | |||||||
\(888\) | 8.08793 | + | 1.28100i | 0.271413 | + | 0.0429876i | ||||
\(889\) | 6.18287 | + | 2.00893i | 0.207367 | + | 0.0673775i | ||||
\(890\) | 0 | 0 | ||||||||
\(891\) | −1.28930 | − | 1.15302i | −0.0431933 | − | 0.0386278i | ||||
\(892\) | −3.36602 | − | 3.36602i | −0.112703 | − | 0.112703i | ||||
\(893\) | −5.64698 | + | 2.87728i | −0.188969 | + | 0.0962845i | ||||
\(894\) | 25.5712 | + | 35.1957i | 0.855228 | + | 1.17712i | ||||
\(895\) | 0 | 0 | ||||||||
\(896\) | −0.236785 | − | 0.728751i | −0.00791045 | − | 0.0243458i | ||||
\(897\) | 9.25183 | + | 4.71404i | 0.308910 | + | 0.157397i | ||||
\(898\) | −0.738556 | − | 4.66306i | −0.0246459 | − | 0.155608i | ||||
\(899\) | −5.67482 | + | 4.12300i | −0.189266 | + | 0.137510i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 39.8915i | 1.32898i | ||||||||
\(902\) | 16.7970 | − | 26.0576i | 0.559279 | − | 0.867623i | ||||
\(903\) | −3.95331 | + | 3.95331i | −0.131558 | + | 0.131558i | ||||
\(904\) | 1.34817 | − | 4.14925i | 0.0448396 | − | 0.138002i | ||||
\(905\) | 0 | 0 | ||||||||
\(906\) | 15.8188 | + | 11.4930i | 0.525545 | + | 0.381831i | ||||
\(907\) | 22.3342 | − | 43.8334i | 0.741597 | − | 1.45547i | −0.143301 | − | 0.989679i | \(-0.545772\pi\) |
0.884897 | − | 0.465786i | \(-0.154228\pi\) | |||||||
\(908\) | −6.21518 | + | 12.1980i | −0.206258 | + | 0.404804i | ||||
\(909\) | 2.55386 | + | 1.85549i | 0.0847062 | + | 0.0615427i | ||||
\(910\) | 0 | 0 | ||||||||
\(911\) | 13.4007 | − | 41.2430i | 0.443984 | − | 1.36644i | −0.439610 | − | 0.898189i | \(-0.644883\pi\) |
0.883594 | − | 0.468254i | \(-0.155117\pi\) | |||||||
\(912\) | 4.20960 | − | 4.20960i | 0.139394 | − | 0.139394i | ||||
\(913\) | 20.3587 | − | 31.5828i | 0.673773 | − | 1.04524i | ||||
\(914\) | 34.0883i | 1.12754i | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −10.9258 | + | 7.93804i | −0.360998 | + | 0.262280i | ||||
\(917\) | −0.683310 | − | 4.31425i | −0.0225649 | − | 0.142469i | ||||
\(918\) | −28.6665 | − | 14.6063i | −0.946135 | − | 0.482080i | ||||
\(919\) | −7.23415 | − | 22.2644i | −0.238633 | − | 0.734435i | −0.996619 | − | 0.0821649i | \(-0.973817\pi\) |
0.757986 | − | 0.652271i | \(-0.226183\pi\) | |||||||
\(920\) | 0 | 0 | ||||||||
\(921\) | −12.9739 | − | 17.8570i | −0.427504 | − | 0.588409i | ||||
\(922\) | −21.8098 | + | 11.1126i | −0.718267 | + | 0.365975i | ||||
\(923\) | −15.7250 | − | 15.7250i | −0.517596 | − | 0.517596i | ||||
\(924\) | 3.47728 | + | 3.10974i | 0.114394 | + | 0.102303i | ||||
\(925\) | 0 | 0 | ||||||||
\(926\) | 41.0511 | + | 13.3383i | 1.34902 | + | 0.438324i | ||||
\(927\) | −10.0621 | − | 1.59368i | −0.330483 | − | 0.0523434i | ||||
\(928\) | 19.5857 | − | 3.10207i | 0.642932 | − | 0.101830i | ||||
\(929\) | 12.0399 | − | 3.91200i | 0.395017 | − | 0.128349i | −0.104772 | − | 0.994496i | \(-0.533411\pi\) |
0.499788 | + | 0.866148i | \(0.333411\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | −6.12773 | + | 8.43410i | −0.200828 | + | 0.276416i | ||||
\(932\) | −0.787098 | + | 4.96954i | −0.0257823 | + | 0.162783i | ||||
\(933\) | 21.2119 | + | 41.6306i | 0.694445 | + | 1.36293i | ||||
\(934\) | −29.6798 | −0.971153 | ||||||||
\(935\) | 0 | 0 | ||||||||
\(936\) | 48.6159 | 1.58906 | ||||||||
\(937\) | 12.0732 | + | 23.6950i | 0.394414 | + | 0.774082i | 0.999761 | − | 0.0218805i | \(-0.00696533\pi\) |
−0.605346 | + | 0.795962i | \(0.706965\pi\) | |||||||
\(938\) | −0.333298 | + | 2.10436i | −0.0108826 | + | 0.0687099i | ||||
\(939\) | −15.7643 | + | 21.6977i | −0.514449 | + | 0.708078i | ||||
\(940\) | 0 | 0 | ||||||||
\(941\) | 22.7044 | − | 7.37710i | 0.740141 | − | 0.240487i | 0.0854076 | − | 0.996346i | \(-0.472781\pi\) |
0.654734 | + | 0.755860i | \(0.272781\pi\) | |||||||
\(942\) | −4.69149 | + | 0.743059i | −0.152857 | + | 0.0242102i | ||||
\(943\) | 10.0416 | + | 1.59043i | 0.327000 | + | 0.0517916i | ||||
\(944\) | 8.74069 | + | 2.84002i | 0.284485 | + | 0.0924349i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −5.05034 | + | 11.4473i | −0.164201 | + | 0.372182i | ||||
\(947\) | −38.6416 | − | 38.6416i | −1.25568 | − | 1.25568i | −0.953134 | − | 0.302548i | \(-0.902163\pi\) |
−0.302548 | − | 0.953134i | \(-0.597837\pi\) | |||||||
\(948\) | −9.49643 | + | 4.83867i | −0.308430 | + | 0.157153i | ||||
\(949\) | 19.2422 | + | 26.4846i | 0.624627 | + | 0.859725i | ||||
\(950\) | 0 | 0 | ||||||||
\(951\) | −20.9882 | − | 64.5950i | −0.680589 | − | 2.09464i | ||||
\(952\) | 8.42973 | + | 4.29516i | 0.273209 | + | 0.139207i | ||||
\(953\) | −2.50247 | − | 15.8000i | −0.0810628 | − | 0.511811i | −0.994492 | − | 0.104813i | \(-0.966576\pi\) |
0.913429 | − | 0.406998i | \(-0.133424\pi\) | |||||||
\(954\) | 29.3621 | − | 21.3328i | 0.950634 | − | 0.690676i | ||||
\(955\) | 0 | 0 | ||||||||
\(956\) | − | 22.4544i | − | 0.726229i | ||||||
\(957\) | −30.8141 | + | 25.1257i | −0.996078 | + | 0.812199i | ||||
\(958\) | −23.1798 | + | 23.1798i | −0.748904 | + | 0.748904i | ||||
\(959\) | 0.760307 | − | 2.33998i | 0.0245516 | − | 0.0755620i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 22.8828 | + | 16.6253i | 0.738153 | + | 0.536300i | ||||
\(962\) | 1.47269 | − | 2.89032i | 0.0474814 | − | 0.0931875i | ||||
\(963\) | −20.0086 | + | 39.2690i | −0.644767 | + | 1.26543i | ||||
\(964\) | −3.81921 | − | 2.77482i | −0.123009 | − | 0.0893710i | ||||
\(965\) | 0 | 0 | ||||||||
\(966\) | 0.568111 | − | 1.74847i | 0.0182787 | − | 0.0562560i | ||||
\(967\) | −37.1649 | + | 37.1649i | −1.19514 | + | 1.19514i | −0.219539 | + | 0.975604i | \(0.570455\pi\) |
−0.975604 | + | 0.219539i | \(0.929545\pi\) | |||||||
\(968\) | 31.2858 | + | 11.7674i | 1.00556 | + | 0.378219i | ||||
\(969\) | − | 24.8221i | − | 0.797400i | ||||||
\(970\) | 0 | 0 | ||||||||
\(971\) | −17.7106 | + | 12.8675i | −0.568359 | + | 0.412937i | −0.834509 | − | 0.550994i | \(-0.814249\pi\) |
0.266149 | + | 0.963932i | \(0.414249\pi\) | |||||||
\(972\) | 2.10952 | + | 13.3190i | 0.0676628 | + | 0.427206i | ||||
\(973\) | −11.0796 | − | 5.64535i | −0.355197 | − | 0.180982i | ||||
\(974\) | 2.21906 | + | 6.82956i | 0.0711033 | + | 0.218833i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −7.34510 | − | 10.1097i | −0.235111 | − | 0.323602i | ||||
\(977\) | −0.0913420 | + | 0.0465411i | −0.00292229 | + | 0.00148898i | −0.455451 | − | 0.890261i | \(-0.650522\pi\) |
0.452529 | + | 0.891750i | \(0.350522\pi\) | |||||||
\(978\) | −21.0754 | − | 21.0754i | −0.673915 | − | 0.673915i | ||||
\(979\) | −1.22421 | + | 12.0389i | −0.0391258 | + | 0.384766i | ||||
\(980\) | 0 | 0 | ||||||||
\(981\) | 21.0116 | + | 6.82708i | 0.670848 | + | 0.217972i | ||||
\(982\) | 15.2003 | + | 2.40750i | 0.485062 | + | 0.0768264i | ||||
\(983\) | −44.9211 | + | 7.11481i | −1.43276 | + | 0.226927i | −0.824074 | − | 0.566483i | \(-0.808304\pi\) |
−0.608688 | + | 0.793410i | \(0.708304\pi\) | |||||||
\(984\) | 72.8141 | − | 23.6587i | 2.32123 | − | 0.754213i | ||||
\(985\) | 0 | 0 | ||||||||
\(986\) | −14.8032 | + | 20.3749i | −0.471430 | + | 0.648868i | ||||
\(987\) | −0.986282 | + | 6.22714i | −0.0313937 | + | 0.198212i | ||||
\(988\) | 2.08270 | + | 4.08752i | 0.0662594 | + | 0.130041i | ||||
\(989\) | −4.10309 | −0.130471 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −7.25030 | −0.230313 | −0.115157 | − | 0.993347i | \(-0.536737\pi\) | ||||
−0.115157 | + | 0.993347i | \(0.536737\pi\) | |||||||
\(992\) | 3.48497 | + | 6.83964i | 0.110648 | + | 0.217159i | ||||
\(993\) | 5.53513 | − | 34.9475i | 0.175652 | − | 1.10902i | ||||
\(994\) | −2.31435 | + | 3.18543i | −0.0734067 | + | 0.101036i | ||||
\(995\) | 0 | 0 | ||||||||
\(996\) | 27.5643 | − | 8.95617i | 0.873407 | − | 0.283787i | ||||
\(997\) | −27.5642 | + | 4.36575i | −0.872968 | + | 0.138265i | −0.576814 | − | 0.816876i | \(-0.695704\pi\) |
−0.296154 | + | 0.955140i | \(0.595704\pi\) | |||||||
\(998\) | 27.3197 | + | 4.32702i | 0.864791 | + | 0.136969i | ||||
\(999\) | −4.94893 | − | 1.60800i | −0.156577 | − | 0.0508750i |
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))