Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [105,3,Mod(37,105)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(105, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 3, 4]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("105.37");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 105 = 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 105.v (of order \(12\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.86104277578\) |
Analytic rank: | \(0\) |
Dimension: | \(64\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{12})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 88.14 | ||
Character | \(\chi\) | \(=\) | 105.88 |
Dual form | 105.3.v.a.37.14 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{2}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 2.88660 | + | 0.773463i | 1.44330 | + | 0.386731i | 0.893688 | − | 0.448688i | \(-0.148109\pi\) |
0.549613 | + | 0.835419i | \(0.314775\pi\) | |||||||
\(3\) | −1.67303 | + | 0.448288i | −0.557678 | + | 0.149429i | ||||
\(4\) | 4.27013 | + | 2.46536i | 1.06753 | + | 0.616340i | ||||
\(5\) | 0.160937 | + | 4.99741i | 0.0321874 | + | 0.999482i | ||||
\(6\) | −5.17611 | −0.862686 | ||||||||
\(7\) | 5.19830 | + | 4.68804i | 0.742614 | + | 0.669719i | ||||
\(8\) | 1.96674 | + | 1.96674i | 0.245842 | + | 0.245842i | ||||
\(9\) | 2.59808 | − | 1.50000i | 0.288675 | − | 0.166667i | ||||
\(10\) | −3.40075 | + | 14.5500i | −0.340075 | + | 1.45500i | ||||
\(11\) | 6.71313 | − | 11.6275i | 0.610285 | − | 1.05704i | −0.380907 | − | 0.924613i | \(-0.624388\pi\) |
0.991192 | − | 0.132431i | \(-0.0422784\pi\) | |||||||
\(12\) | −8.24925 | − | 2.21038i | −0.687438 | − | 0.184198i | ||||
\(13\) | −3.94411 | − | 3.94411i | −0.303393 | − | 0.303393i | 0.538947 | − | 0.842340i | \(-0.318822\pi\) |
−0.842340 | + | 0.538947i | \(0.818822\pi\) | |||||||
\(14\) | 11.3794 | + | 17.5532i | 0.812814 | + | 1.25380i | ||||
\(15\) | −2.50953 | − | 8.28868i | −0.167302 | − | 0.552579i | ||||
\(16\) | −5.70544 | − | 9.88212i | −0.356590 | − | 0.617632i | ||||
\(17\) | −2.53643 | − | 9.46609i | −0.149202 | − | 0.556829i | −0.999532 | − | 0.0305799i | \(-0.990265\pi\) |
0.850330 | − | 0.526249i | \(-0.176402\pi\) | |||||||
\(18\) | 8.65981 | − | 2.32039i | 0.481100 | − | 0.128910i | ||||
\(19\) | −4.57992 | + | 2.64422i | −0.241049 | + | 0.139169i | −0.615659 | − | 0.788013i | \(-0.711110\pi\) |
0.374610 | + | 0.927182i | \(0.377777\pi\) | |||||||
\(20\) | −11.6332 | + | 21.7363i | −0.581659 | + | 1.08682i | ||||
\(21\) | −10.7985 | − | 5.51290i | −0.514215 | − | 0.262519i | ||||
\(22\) | 28.3716 | − | 28.3716i | 1.28962 | − | 1.28962i | ||||
\(23\) | −1.98091 | + | 7.39285i | −0.0861264 | + | 0.321428i | −0.995525 | − | 0.0944974i | \(-0.969876\pi\) |
0.909399 | + | 0.415925i | \(0.136542\pi\) | |||||||
\(24\) | −4.17208 | − | 2.40875i | −0.173837 | − | 0.100365i | ||||
\(25\) | −24.9482 | + | 1.60854i | −0.997928 | + | 0.0643415i | ||||
\(26\) | −8.33445 | − | 14.4357i | −0.320556 | − | 0.555219i | ||||
\(27\) | −3.67423 | + | 3.67423i | −0.136083 | + | 0.136083i | ||||
\(28\) | 10.6397 | + | 32.8342i | 0.379990 | + | 1.17265i | ||||
\(29\) | − | 36.7188i | − | 1.26616i | −0.774085 | − | 0.633082i | \(-0.781789\pi\) | ||
0.774085 | − | 0.633082i | \(-0.218211\pi\) | |||||||
\(30\) | −0.833028 | − | 25.8672i | −0.0277676 | − | 0.862239i | ||||
\(31\) | −9.71723 | + | 16.8307i | −0.313459 | + | 0.542927i | −0.979109 | − | 0.203337i | \(-0.934821\pi\) |
0.665650 | + | 0.746264i | \(0.268155\pi\) | |||||||
\(32\) | −11.7054 | − | 43.6852i | −0.365794 | − | 1.36516i | ||||
\(33\) | −6.01883 | + | 22.4626i | −0.182389 | + | 0.680684i | ||||
\(34\) | − | 29.2867i | − | 0.861373i | ||||||
\(35\) | −22.5914 | + | 26.7325i | −0.645470 | + | 0.763786i | ||||
\(36\) | 14.7922 | 0.410893 | ||||||||
\(37\) | 43.7832 | + | 11.7317i | 1.18333 | + | 0.317072i | 0.796246 | − | 0.604973i | \(-0.206816\pi\) |
0.387083 | + | 0.922045i | \(0.373483\pi\) | |||||||
\(38\) | −15.2656 | + | 4.09041i | −0.401727 | + | 0.107642i | ||||
\(39\) | 8.36672 | + | 4.83053i | 0.214531 | + | 0.123860i | ||||
\(40\) | −9.51208 | + | 10.1451i | −0.237802 | + | 0.253628i | ||||
\(41\) | 57.9301 | 1.41293 | 0.706464 | − | 0.707749i | \(-0.250289\pi\) | ||||
0.706464 | + | 0.707749i | \(0.250289\pi\) | |||||||
\(42\) | −26.9070 | − | 24.2658i | −0.640643 | − | 0.577757i | ||||
\(43\) | 46.3359 | + | 46.3359i | 1.07758 | + | 1.07758i | 0.996726 | + | 0.0808525i | \(0.0257643\pi\) |
0.0808525 | + | 0.996726i | \(0.474236\pi\) | |||||||
\(44\) | 57.3319 | − | 33.1006i | 1.30300 | − | 0.752286i | ||||
\(45\) | 7.91424 | + | 12.7422i | 0.175872 | + | 0.283161i | ||||
\(46\) | −11.4362 | + | 19.8080i | −0.248613 | + | 0.430610i | ||||
\(47\) | −61.3721 | − | 16.4446i | −1.30579 | − | 0.349885i | −0.462153 | − | 0.886800i | \(-0.652923\pi\) |
−0.843636 | + | 0.536915i | \(0.819590\pi\) | |||||||
\(48\) | 13.9754 | + | 13.9754i | 0.291155 | + | 0.291155i | ||||
\(49\) | 5.04463 | + | 48.7396i | 0.102952 | + | 0.994686i | ||||
\(50\) | −73.2597 | − | 14.6533i | −1.46519 | − | 0.293066i | ||||
\(51\) | 8.48707 | + | 14.7000i | 0.166413 | + | 0.288236i | ||||
\(52\) | −7.11820 | − | 26.5655i | −0.136889 | − | 0.510875i | ||||
\(53\) | −38.8830 | + | 10.4187i | −0.733641 | + | 0.196578i | −0.606250 | − | 0.795274i | \(-0.707327\pi\) |
−0.127391 | + | 0.991853i | \(0.540660\pi\) | |||||||
\(54\) | −13.4479 | + | 7.76417i | −0.249036 | + | 0.143781i | ||||
\(55\) | 59.1877 | + | 31.6770i | 1.07614 | + | 0.575945i | ||||
\(56\) | 1.00355 | + | 19.4438i | 0.0179206 | + | 0.347212i | ||||
\(57\) | 6.47699 | − | 6.47699i | 0.113631 | − | 0.113631i | ||||
\(58\) | 28.4006 | − | 105.992i | 0.489666 | − | 1.82746i | ||||
\(59\) | −60.4517 | − | 34.9018i | −1.02461 | − | 0.591556i | −0.109171 | − | 0.994023i | \(-0.534819\pi\) |
−0.915434 | + | 0.402467i | \(0.868153\pi\) | |||||||
\(60\) | 9.71857 | − | 41.5806i | 0.161976 | − | 0.693010i | ||||
\(61\) | −39.4523 | − | 68.3334i | −0.646759 | − | 1.12022i | −0.983892 | − | 0.178763i | \(-0.942790\pi\) |
0.337133 | − | 0.941457i | \(-0.390543\pi\) | |||||||
\(62\) | −41.0677 | + | 41.0677i | −0.662383 | + | 0.662383i | ||||
\(63\) | 20.5376 | + | 4.38243i | 0.325994 | + | 0.0695623i | ||||
\(64\) | − | 89.5118i | − | 1.39862i | ||||||
\(65\) | 19.0756 | − | 20.3451i | 0.293470 | − | 0.313001i | ||||
\(66\) | −34.7479 | + | 60.1852i | −0.526484 | + | 0.911897i | ||||
\(67\) | 28.7353 | + | 107.241i | 0.428885 | + | 1.60062i | 0.755291 | + | 0.655389i | \(0.227495\pi\) |
−0.326407 | + | 0.945229i | \(0.605838\pi\) | |||||||
\(68\) | 12.5064 | − | 46.6746i | 0.183918 | − | 0.686392i | ||||
\(69\) | − | 13.2565i | − | 0.192123i | ||||||
\(70\) | −85.8891 | + | 59.6925i | −1.22699 | + | 0.852750i | ||||
\(71\) | −121.479 | −1.71097 | −0.855486 | − | 0.517826i | \(-0.826741\pi\) | ||||
−0.855486 | + | 0.517826i | \(0.826741\pi\) | |||||||
\(72\) | 8.05985 | + | 2.15963i | 0.111942 | + | 0.0299949i | ||||
\(73\) | 4.70119 | − | 1.25968i | 0.0643998 | − | 0.0172559i | −0.226475 | − | 0.974017i | \(-0.572720\pi\) |
0.290875 | + | 0.956761i | \(0.406054\pi\) | |||||||
\(74\) | 117.311 | + | 67.7293i | 1.58528 | + | 0.915261i | ||||
\(75\) | 41.0181 | − | 13.8751i | 0.546907 | − | 0.185001i | ||||
\(76\) | −26.0758 | −0.343103 | ||||||||
\(77\) | 89.4070 | − | 28.9718i | 1.16113 | − | 0.376257i | ||||
\(78\) | 20.4152 | + | 20.4152i | 0.261733 | + | 0.261733i | ||||
\(79\) | −116.005 | + | 66.9753i | −1.46841 | + | 0.847788i | −0.999374 | − | 0.0353889i | \(-0.988733\pi\) |
−0.469039 | + | 0.883177i | \(0.655400\pi\) | |||||||
\(80\) | 48.4668 | − | 30.1028i | 0.605835 | − | 0.376285i | ||||
\(81\) | 4.50000 | − | 7.79423i | 0.0555556 | − | 0.0962250i | ||||
\(82\) | 167.221 | + | 44.8068i | 2.03928 | + | 0.546424i | ||||
\(83\) | 99.6896 | + | 99.6896i | 1.20108 | + | 1.20108i | 0.973838 | + | 0.227242i | \(0.0729707\pi\) |
0.227242 | + | 0.973838i | \(0.427029\pi\) | |||||||
\(84\) | −32.5197 | − | 50.1630i | −0.387140 | − | 0.597179i | ||||
\(85\) | 46.8977 | − | 14.1990i | 0.551738 | − | 0.167047i | ||||
\(86\) | 97.9142 | + | 169.592i | 1.13854 | + | 1.97200i | ||||
\(87\) | 16.4606 | + | 61.4317i | 0.189202 | + | 0.706112i | ||||
\(88\) | 36.0712 | − | 9.66526i | 0.409900 | − | 0.109832i | ||||
\(89\) | −20.5641 | + | 11.8727i | −0.231058 | + | 0.133401i | −0.611060 | − | 0.791584i | \(-0.709257\pi\) |
0.380002 | + | 0.924986i | \(0.375923\pi\) | |||||||
\(90\) | 12.9896 | + | 42.9032i | 0.144329 | + | 0.476702i | ||||
\(91\) | −2.01253 | − | 38.9928i | −0.0221158 | − | 0.428492i | ||||
\(92\) | −26.6847 | + | 26.6847i | −0.290052 | + | 0.290052i | ||||
\(93\) | 8.71223 | − | 32.5145i | 0.0936799 | − | 0.349618i | ||||
\(94\) | −164.438 | − | 94.9381i | −1.74934 | − | 1.00998i | ||||
\(95\) | −13.9513 | − | 22.4622i | −0.146856 | − | 0.236444i | ||||
\(96\) | 39.1670 | + | 67.8393i | 0.407990 | + | 0.706659i | ||||
\(97\) | −40.9086 | + | 40.9086i | −0.421738 | + | 0.421738i | −0.885802 | − | 0.464064i | \(-0.846391\pi\) |
0.464064 | + | 0.885802i | \(0.346391\pi\) | |||||||
\(98\) | −23.1364 | + | 144.594i | −0.236086 | + | 1.47545i | ||||
\(99\) | − | 40.2788i | − | 0.406857i | ||||||
\(100\) | −110.498 | − | 54.6376i | −1.10498 | − | 0.546376i | ||||
\(101\) | 34.1609 | − | 59.1683i | 0.338226 | − | 0.585825i | −0.645873 | − | 0.763445i | \(-0.723506\pi\) |
0.984099 | + | 0.177620i | \(0.0568397\pi\) | |||||||
\(102\) | 13.1289 | + | 48.9976i | 0.128714 | + | 0.480368i | ||||
\(103\) | 32.8404 | − | 122.562i | 0.318839 | − | 1.18992i | −0.601524 | − | 0.798855i | \(-0.705439\pi\) |
0.920362 | − | 0.391067i | \(-0.127894\pi\) | |||||||
\(104\) | − | 15.5141i | − | 0.149174i | ||||||
\(105\) | 25.8124 | − | 54.8518i | 0.245832 | − | 0.522398i | ||||
\(106\) | −120.298 | −1.13489 | ||||||||
\(107\) | 58.6252 | + | 15.7086i | 0.547899 | + | 0.146809i | 0.522141 | − | 0.852859i | \(-0.325133\pi\) |
0.0257581 | + | 0.999668i | \(0.491800\pi\) | |||||||
\(108\) | −24.7478 | + | 6.63114i | −0.229146 | + | 0.0613995i | ||||
\(109\) | 18.6575 | + | 10.7719i | 0.171170 | + | 0.0988251i | 0.583137 | − | 0.812374i | \(-0.301825\pi\) |
−0.411967 | + | 0.911199i | \(0.635158\pi\) | |||||||
\(110\) | 146.350 | + | 137.218i | 1.33046 | + | 1.24744i | ||||
\(111\) | −78.5098 | −0.707296 | ||||||||
\(112\) | 16.6691 | − | 78.1175i | 0.148831 | − | 0.697478i | ||||
\(113\) | 12.3946 | + | 12.3946i | 0.109686 | + | 0.109686i | 0.759820 | − | 0.650134i | \(-0.225287\pi\) |
−0.650134 | + | 0.759820i | \(0.725287\pi\) | |||||||
\(114\) | 23.7062 | − | 13.6868i | 0.207949 | − | 0.120060i | ||||
\(115\) | −37.2639 | − | 8.70962i | −0.324034 | − | 0.0757358i | ||||
\(116\) | 90.5250 | − | 156.794i | 0.780388 | − | 1.35167i | ||||
\(117\) | −16.1633 | − | 4.33093i | −0.138148 | − | 0.0370165i | ||||
\(118\) | −147.505 | − | 147.505i | −1.25004 | − | 1.25004i | ||||
\(119\) | 31.1923 | − | 61.0985i | 0.262120 | − | 0.513432i | ||||
\(120\) | 11.3661 | − | 21.2373i | 0.0947174 | − | 0.176977i | ||||
\(121\) | −29.6323 | − | 51.3247i | −0.244895 | − | 0.424171i | ||||
\(122\) | −61.0298 | − | 227.766i | −0.500244 | − | 1.86694i | ||||
\(123\) | −96.9189 | + | 25.9693i | −0.787959 | + | 0.211133i | ||||
\(124\) | −82.9877 | + | 47.9129i | −0.669255 | + | 0.386395i | ||||
\(125\) | −12.0536 | − | 124.417i | −0.0964288 | − | 0.995340i | ||||
\(126\) | 55.8943 | + | 28.5354i | 0.443606 | + | 0.226472i | ||||
\(127\) | −21.0785 | + | 21.0785i | −0.165973 | + | 0.165973i | −0.785207 | − | 0.619234i | \(-0.787443\pi\) |
0.619234 | + | 0.785207i | \(0.287443\pi\) | |||||||
\(128\) | 22.4125 | − | 83.6445i | 0.175097 | − | 0.653472i | ||||
\(129\) | −98.2932 | − | 56.7496i | −0.761963 | − | 0.439920i | ||||
\(130\) | 70.7998 | − | 43.9739i | 0.544614 | − | 0.338261i | ||||
\(131\) | −62.6091 | − | 108.442i | −0.477932 | − | 0.827803i | 0.521748 | − | 0.853100i | \(-0.325280\pi\) |
−0.999680 | + | 0.0252971i | \(0.991947\pi\) | |||||||
\(132\) | −81.0795 | + | 81.0795i | −0.614239 | + | 0.614239i | ||||
\(133\) | −36.2040 | − | 7.72540i | −0.272211 | − | 0.0580857i | ||||
\(134\) | 331.789i | 2.47604i | ||||||||
\(135\) | −18.9530 | − | 17.7703i | −0.140392 | − | 0.131632i | ||||
\(136\) | 13.6288 | − | 23.6058i | 0.100212 | − | 0.173572i | ||||
\(137\) | −9.48345 | − | 35.3927i | −0.0692222 | − | 0.258341i | 0.922639 | − | 0.385665i | \(-0.126028\pi\) |
−0.991861 | + | 0.127324i | \(0.959361\pi\) | |||||||
\(138\) | 10.2534 | − | 38.2662i | 0.0743000 | − | 0.277291i | ||||
\(139\) | 84.6491i | 0.608986i | 0.952515 | + | 0.304493i | \(0.0984870\pi\) | ||||
−0.952515 | + | 0.304493i | \(0.901513\pi\) | |||||||
\(140\) | −162.374 | + | 58.4552i | −1.15981 | + | 0.417537i | ||||
\(141\) | 110.049 | 0.780493 | ||||||||
\(142\) | −350.662 | − | 93.9595i | −2.46945 | − | 0.661687i | ||||
\(143\) | −72.3374 | + | 19.3828i | −0.505856 | + | 0.135544i | ||||
\(144\) | −29.6464 | − | 17.1163i | −0.205877 | − | 0.118863i | ||||
\(145\) | 183.499 | − | 5.90941i | 1.26551 | − | 0.0407546i | ||||
\(146\) | 14.5448 | 0.0996217 | ||||||||
\(147\) | −30.2892 | − | 79.2815i | −0.206049 | − | 0.539330i | ||||
\(148\) | 158.037 | + | 158.037i | 1.06782 | + | 1.06782i | ||||
\(149\) | 28.2589 | − | 16.3153i | 0.189657 | − | 0.109499i | −0.402165 | − | 0.915567i | \(-0.631742\pi\) |
0.591822 | + | 0.806069i | \(0.298409\pi\) | |||||||
\(150\) | 129.135 | − | 8.32597i | 0.860898 | − | 0.0555065i | ||||
\(151\) | 78.0454 | − | 135.179i | 0.516857 | − | 0.895223i | −0.482951 | − | 0.875647i | \(-0.660435\pi\) |
0.999808 | − | 0.0195756i | \(-0.00623149\pi\) | |||||||
\(152\) | −14.2080 | − | 3.80702i | −0.0934737 | − | 0.0250462i | ||||
\(153\) | −20.7890 | − | 20.7890i | −0.135876 | − | 0.135876i | ||||
\(154\) | 280.491 | − | 14.4770i | 1.82137 | − | 0.0940063i | ||||
\(155\) | −85.6740 | − | 45.8523i | −0.552735 | − | 0.295821i | ||||
\(156\) | 23.8180 | + | 41.2539i | 0.152679 | + | 0.264448i | ||||
\(157\) | 17.2166 | + | 64.2534i | 0.109660 | + | 0.409257i | 0.998832 | − | 0.0483159i | \(-0.0153854\pi\) |
−0.889172 | + | 0.457573i | \(0.848719\pi\) | |||||||
\(158\) | −386.662 | + | 103.606i | −2.44723 | + | 0.655733i | ||||
\(159\) | 60.3819 | − | 34.8615i | 0.379760 | − | 0.219255i | ||||
\(160\) | 216.429 | − | 65.5272i | 1.35268 | − | 0.409545i | ||||
\(161\) | −44.9553 | + | 29.1437i | −0.279225 | + | 0.181017i | ||||
\(162\) | 19.0183 | − | 19.0183i | 0.117397 | − | 0.117397i | ||||
\(163\) | −15.1289 | + | 56.4617i | −0.0928152 | + | 0.346391i | −0.996679 | − | 0.0814289i | \(-0.974052\pi\) |
0.903864 | + | 0.427820i | \(0.140718\pi\) | |||||||
\(164\) | 247.369 | + | 142.818i | 1.50835 | + | 0.870844i | ||||
\(165\) | −113.223 | − | 26.4635i | −0.686202 | − | 0.160385i | ||||
\(166\) | 210.658 | + | 364.871i | 1.26902 | + | 2.19802i | ||||
\(167\) | −93.0212 | + | 93.0212i | −0.557013 | + | 0.557013i | −0.928456 | − | 0.371443i | \(-0.878863\pi\) |
0.371443 | + | 0.928456i | \(0.378863\pi\) | |||||||
\(168\) | −10.3954 | − | 32.0803i | −0.0618775 | − | 0.190954i | ||||
\(169\) | − | 137.888i | − | 0.815905i | ||||||
\(170\) | 146.358 | − | 4.71331i | 0.860927 | − | 0.0277254i | ||||
\(171\) | −7.93266 | + | 13.7398i | −0.0463898 | + | 0.0803495i | ||||
\(172\) | 83.6255 | + | 312.095i | 0.486195 | + | 1.81450i | ||||
\(173\) | 62.6748 | − | 233.906i | 0.362282 | − | 1.35206i | −0.508786 | − | 0.860893i | \(-0.669906\pi\) |
0.871068 | − | 0.491162i | \(-0.163428\pi\) | |||||||
\(174\) | 190.061i | 1.09230i | ||||||||
\(175\) | −137.229 | − | 108.596i | −0.784166 | − | 0.620551i | ||||
\(176\) | −153.206 | −0.870486 | ||||||||
\(177\) | 116.784 | + | 31.2921i | 0.659795 | + | 0.176792i | ||||
\(178\) | −68.5435 | + | 18.3662i | −0.385076 | + | 0.103181i | ||||
\(179\) | 228.989 | + | 132.207i | 1.27927 | + | 0.738585i | 0.976713 | − | 0.214548i | \(-0.0688279\pi\) |
0.302553 | + | 0.953133i | \(0.402161\pi\) | |||||||
\(180\) | 2.38061 | + | 73.9225i | 0.0132256 | + | 0.410680i | ||||
\(181\) | 286.020 | 1.58022 | 0.790110 | − | 0.612965i | \(-0.210023\pi\) | ||||
0.790110 | + | 0.612965i | \(0.210023\pi\) | |||||||
\(182\) | 24.3501 | − | 114.113i | 0.133792 | − | 0.626996i | ||||
\(183\) | 96.6381 | + | 96.6381i | 0.528077 | + | 0.528077i | ||||
\(184\) | −18.4357 | + | 10.6439i | −0.100194 | + | 0.0578471i | ||||
\(185\) | −51.5816 | + | 220.690i | −0.278819 | + | 1.19292i | ||||
\(186\) | 50.2975 | − | 87.1178i | 0.270417 | − | 0.468375i | ||||
\(187\) | −127.094 | − | 34.0548i | −0.679649 | − | 0.182111i | ||||
\(188\) | −221.525 | − | 221.525i | −1.17832 | − | 1.17832i | ||||
\(189\) | −36.3247 | + | 1.87483i | −0.192194 | + | 0.00991972i | ||||
\(190\) | −22.8983 | − | 75.6303i | −0.120517 | − | 0.398054i | ||||
\(191\) | 38.1037 | + | 65.9976i | 0.199496 | + | 0.345537i | 0.948365 | − | 0.317181i | \(-0.102736\pi\) |
−0.748869 | + | 0.662718i | \(0.769403\pi\) | |||||||
\(192\) | 40.1271 | + | 149.756i | 0.208995 | + | 0.779980i | ||||
\(193\) | −236.585 | + | 63.3927i | −1.22583 | + | 0.328459i | −0.812953 | − | 0.582329i | \(-0.802142\pi\) |
−0.412874 | + | 0.910788i | \(0.635475\pi\) | |||||||
\(194\) | −149.728 | + | 86.4456i | −0.771795 | + | 0.445596i | ||||
\(195\) | −22.7936 | + | 42.5893i | −0.116890 | + | 0.218407i | ||||
\(196\) | −98.6195 | + | 220.561i | −0.503161 | + | 1.12531i | ||||
\(197\) | 136.078 | − | 136.078i | 0.690750 | − | 0.690750i | −0.271647 | − | 0.962397i | \(-0.587568\pi\) |
0.962397 | + | 0.271647i | \(0.0875684\pi\) | |||||||
\(198\) | 31.1542 | − | 116.269i | 0.157344 | − | 0.587217i | ||||
\(199\) | 107.888 | + | 62.2892i | 0.542151 | + | 0.313011i | 0.745950 | − | 0.666002i | \(-0.231996\pi\) |
−0.203799 | + | 0.979013i | \(0.565329\pi\) | |||||||
\(200\) | −52.2302 | − | 45.9030i | −0.261151 | − | 0.229515i | ||||
\(201\) | −96.1501 | − | 166.537i | −0.478359 | − | 0.828541i | ||||
\(202\) | 144.373 | − | 144.373i | 0.714720 | − | 0.714720i | ||||
\(203\) | 172.139 | − | 190.875i | 0.847975 | − | 0.940272i | ||||
\(204\) | 83.6947i | 0.410268i | ||||||||
\(205\) | 9.32309 | + | 289.500i | 0.0454785 | + | 1.41220i | ||||
\(206\) | 189.594 | − | 328.387i | 0.920360 | − | 1.59411i | ||||
\(207\) | 5.94272 | + | 22.1785i | 0.0287088 | + | 0.107143i | ||||
\(208\) | −16.4733 | + | 61.4790i | −0.0791984 | + | 0.295572i | ||||
\(209\) | 71.0040i | 0.339732i | ||||||||
\(210\) | 116.936 | − | 138.371i | 0.556837 | − | 0.658907i | ||||
\(211\) | −25.5567 | −0.121122 | −0.0605610 | − | 0.998164i | \(-0.519289\pi\) | ||||
−0.0605610 | + | 0.998164i | \(0.519289\pi\) | |||||||
\(212\) | −191.721 | − | 51.3715i | −0.904344 | − | 0.242318i | ||||
\(213\) | 203.238 | − | 54.4576i | 0.954171 | − | 0.255669i | ||||
\(214\) | 157.078 | + | 90.6889i | 0.734008 | + | 0.423780i | ||||
\(215\) | −224.102 | + | 239.017i | −1.04234 | + | 1.11170i | ||||
\(216\) | −14.4525 | −0.0669098 | ||||||||
\(217\) | −129.416 | + | 41.9365i | −0.596388 | + | 0.193256i | ||||
\(218\) | 45.5252 | + | 45.5252i | 0.208831 | + | 0.208831i | ||||
\(219\) | −7.30054 | + | 4.21497i | −0.0333358 | + | 0.0192464i | ||||
\(220\) | 174.644 | + | 281.184i | 0.793836 | + | 1.27811i | ||||
\(221\) | −27.3313 | + | 47.3393i | −0.123671 | + | 0.214205i | ||||
\(222\) | −226.627 | − | 60.7244i | −1.02084 | − | 0.273533i | ||||
\(223\) | −58.9789 | − | 58.9789i | −0.264479 | − | 0.264479i | 0.562392 | − | 0.826871i | \(-0.309881\pi\) |
−0.826871 | + | 0.562392i | \(0.809881\pi\) | |||||||
\(224\) | 143.949 | − | 281.964i | 0.642631 | − | 1.25877i | ||||
\(225\) | −62.4045 | + | 41.6014i | −0.277353 | + | 0.184895i | ||||
\(226\) | 26.1914 | + | 45.3649i | 0.115891 | + | 0.200730i | ||||
\(227\) | 106.629 | + | 397.945i | 0.469732 | + | 1.75306i | 0.640704 | + | 0.767788i | \(0.278642\pi\) |
−0.170972 | + | 0.985276i | \(0.554691\pi\) | |||||||
\(228\) | 43.6257 | − | 11.6895i | 0.191341 | − | 0.0512696i | ||||
\(229\) | −325.569 | + | 187.967i | −1.42170 | + | 0.820818i | −0.996444 | − | 0.0842553i | \(-0.973149\pi\) |
−0.425255 | + | 0.905074i | \(0.639816\pi\) | |||||||
\(230\) | −100.829 | − | 53.9634i | −0.438389 | − | 0.234624i | ||||
\(231\) | −136.593 | + | 88.5507i | −0.591312 | + | 0.383337i | ||||
\(232\) | 72.2163 | − | 72.2163i | 0.311277 | − | 0.311277i | ||||
\(233\) | 6.28523 | − | 23.4568i | 0.0269752 | − | 0.100673i | −0.951126 | − | 0.308804i | \(-0.900071\pi\) |
0.978101 | + | 0.208131i | \(0.0667380\pi\) | |||||||
\(234\) | −43.3071 | − | 25.0034i | −0.185073 | − | 0.106852i | ||||
\(235\) | 72.3034 | − | 309.348i | 0.307674 | − | 1.31638i | ||||
\(236\) | −172.091 | − | 298.070i | −0.729199 | − | 1.26301i | ||||
\(237\) | 164.055 | − | 164.055i | 0.692216 | − | 0.692216i | ||||
\(238\) | 137.297 | − | 152.241i | 0.576878 | − | 0.639668i | ||||
\(239\) | − | 50.6675i | − | 0.211998i | −0.994366 | − | 0.105999i | \(-0.966196\pi\) | ||
0.994366 | − | 0.105999i | \(-0.0338040\pi\) | |||||||
\(240\) | −67.5917 | + | 72.0901i | −0.281632 | + | 0.300375i | ||||
\(241\) | 58.3080 | − | 100.992i | 0.241942 | − | 0.419055i | −0.719326 | − | 0.694673i | \(-0.755549\pi\) |
0.961267 | + | 0.275618i | \(0.0888824\pi\) | |||||||
\(242\) | −45.8390 | − | 171.074i | −0.189417 | − | 0.706916i | ||||
\(243\) | −4.03459 | + | 15.0573i | −0.0166032 | + | 0.0619642i | ||||
\(244\) | − | 389.057i | − | 1.59449i | ||||||
\(245\) | −242.760 | + | 33.0541i | −0.990857 | + | 0.134915i | ||||
\(246\) | −299.853 | −1.21891 | ||||||||
\(247\) | 28.4928 | + | 7.63463i | 0.115356 | + | 0.0309094i | ||||
\(248\) | −52.2129 | + | 13.9904i | −0.210536 | + | 0.0564130i | ||||
\(249\) | −211.474 | − | 122.094i | −0.849292 | − | 0.490339i | ||||
\(250\) | 61.4383 | − | 368.467i | 0.245753 | − | 1.47387i | ||||
\(251\) | 320.629 | 1.27741 | 0.638704 | − | 0.769452i | \(-0.279471\pi\) | ||||
0.638704 | + | 0.769452i | \(0.279471\pi\) | |||||||
\(252\) | 76.8941 | + | 69.3462i | 0.305135 | + | 0.275183i | ||||
\(253\) | 72.6621 | + | 72.6621i | 0.287202 | + | 0.287202i | ||||
\(254\) | −77.1488 | + | 44.5419i | −0.303736 | + | 0.175362i | ||||
\(255\) | −72.0962 | + | 44.7791i | −0.282730 | + | 0.175604i | ||||
\(256\) | −49.6319 | + | 85.9650i | −0.193875 | + | 0.335801i | ||||
\(257\) | −191.876 | − | 51.4131i | −0.746600 | − | 0.200051i | −0.134591 | − | 0.990901i | \(-0.542972\pi\) |
−0.612009 | + | 0.790850i | \(0.709639\pi\) | |||||||
\(258\) | −239.840 | − | 239.840i | −0.929612 | − | 0.929612i | ||||
\(259\) | 172.600 | + | 266.242i | 0.666407 | + | 1.02796i | ||||
\(260\) | 131.613 | − | 39.8480i | 0.506204 | − | 0.153261i | ||||
\(261\) | −55.0782 | − | 95.3982i | −0.211027 | − | 0.365510i | ||||
\(262\) | −96.8516 | − | 361.455i | −0.369663 | − | 1.37960i | ||||
\(263\) | −15.3255 | + | 4.10646i | −0.0582720 | + | 0.0156139i | −0.287837 | − | 0.957679i | \(-0.592936\pi\) |
0.229565 | + | 0.973293i | \(0.426270\pi\) | |||||||
\(264\) | −56.0155 | + | 32.3406i | −0.212180 | + | 0.122502i | ||||
\(265\) | −58.3240 | − | 192.637i | −0.220091 | − | 0.726933i | ||||
\(266\) | −98.5313 | − | 50.3026i | −0.370418 | − | 0.189108i | ||||
\(267\) | 29.0821 | − | 29.0821i | 0.108922 | − | 0.108922i | ||||
\(268\) | −141.686 | + | 528.778i | −0.528677 | + | 1.97305i | ||||
\(269\) | −89.8942 | − | 51.9004i | −0.334179 | − | 0.192938i | 0.323516 | − | 0.946223i | \(-0.395135\pi\) |
−0.657695 | + | 0.753284i | \(0.728468\pi\) | |||||||
\(270\) | −40.9650 | − | 65.9553i | −0.151722 | − | 0.244279i | ||||
\(271\) | 78.5571 | + | 136.065i | 0.289878 | + | 0.502084i | 0.973781 | − | 0.227490i | \(-0.0730518\pi\) |
−0.683902 | + | 0.729574i | \(0.739718\pi\) | |||||||
\(272\) | −79.0736 | + | 79.0736i | −0.290712 | + | 0.290712i | ||||
\(273\) | 20.8470 | + | 64.3340i | 0.0763627 | + | 0.235656i | ||||
\(274\) | − | 109.500i | − | 0.399634i | ||||||
\(275\) | −148.777 | + | 300.883i | −0.541009 | + | 1.09412i | ||||
\(276\) | 32.6820 | − | 56.6069i | 0.118413 | − | 0.205097i | ||||
\(277\) | 54.1211 | + | 201.983i | 0.195383 | + | 0.729179i | 0.992167 | + | 0.124916i | \(0.0398660\pi\) |
−0.796784 | + | 0.604264i | \(0.793467\pi\) | |||||||
\(278\) | −65.4729 | + | 244.348i | −0.235514 | + | 0.878950i | ||||
\(279\) | 58.3034i | 0.208973i | ||||||||
\(280\) | −97.0073 | + | 8.14441i | −0.346455 | + | 0.0290872i | ||||
\(281\) | 454.909 | 1.61889 | 0.809446 | − | 0.587194i | \(-0.199768\pi\) | ||||
0.809446 | + | 0.587194i | \(0.199768\pi\) | |||||||
\(282\) | 317.669 | + | 85.1192i | 1.12649 | + | 0.301841i | ||||
\(283\) | 99.1636 | − | 26.5708i | 0.350401 | − | 0.0938898i | −0.0793253 | − | 0.996849i | \(-0.525277\pi\) |
0.429727 | + | 0.902959i | \(0.358610\pi\) | |||||||
\(284\) | −518.731 | − | 299.489i | −1.82652 | − | 1.05454i | ||||
\(285\) | 33.4106 | + | 31.3258i | 0.117230 | + | 0.109915i | ||||
\(286\) | −223.801 | −0.782522 | ||||||||
\(287\) | 301.138 | + | 271.578i | 1.04926 | + | 0.946266i | ||||
\(288\) | −95.9393 | − | 95.9393i | −0.333122 | − | 0.333122i | ||||
\(289\) | 167.108 | − | 96.4798i | 0.578228 | − | 0.333840i | ||||
\(290\) | 534.259 | + | 124.871i | 1.84227 | + | 0.430591i | ||||
\(291\) | 50.1026 | − | 86.7803i | 0.172174 | − | 0.298214i | ||||
\(292\) | 23.1802 | + | 6.21112i | 0.0793843 | + | 0.0212710i | ||||
\(293\) | 102.346 | + | 102.346i | 0.349302 | + | 0.349302i | 0.859850 | − | 0.510547i | \(-0.170557\pi\) |
−0.510547 | + | 0.859850i | \(0.670557\pi\) | |||||||
\(294\) | −26.1116 | − | 252.282i | −0.0888150 | − | 0.858102i | ||||
\(295\) | 164.690 | − | 307.719i | 0.558270 | − | 1.04311i | ||||
\(296\) | 63.0369 | + | 109.183i | 0.212963 | + | 0.368862i | ||||
\(297\) | 18.0565 | + | 67.3878i | 0.0607963 | + | 0.226895i | ||||
\(298\) | 94.1914 | − | 25.2385i | 0.316079 | − | 0.0846930i | ||||
\(299\) | 36.9711 | − | 21.3453i | 0.123649 | − | 0.0713889i | ||||
\(300\) | 209.359 | + | 41.8758i | 0.697865 | + | 0.139586i | ||||
\(301\) | 23.6435 | + | 458.092i | 0.0785498 | + | 1.52190i | ||||
\(302\) | 329.842 | − | 329.842i | 1.09219 | − | 1.09219i | ||||
\(303\) | −30.6278 | + | 114.304i | −0.101082 | + | 0.377242i | ||||
\(304\) | 52.2610 | + | 30.1729i | 0.171911 | + | 0.0992529i | ||||
\(305\) | 335.141 | − | 208.157i | 1.09882 | − | 0.682481i | ||||
\(306\) | −43.9300 | − | 76.0890i | −0.143562 | − | 0.248657i | ||||
\(307\) | 29.1999 | − | 29.1999i | 0.0951137 | − | 0.0951137i | −0.657949 | − | 0.753063i | \(-0.728576\pi\) |
0.753063 | + | 0.657949i | \(0.228576\pi\) | |||||||
\(308\) | 453.205 | + | 96.7072i | 1.47144 | + | 0.313985i | ||||
\(309\) | 219.772i | 0.711236i | ||||||||
\(310\) | −211.842 | − | 198.623i | −0.683360 | − | 0.640719i | ||||
\(311\) | −201.089 | + | 348.297i | −0.646589 | + | 1.11992i | 0.337343 | + | 0.941382i | \(0.390472\pi\) |
−0.983932 | + | 0.178543i | \(0.942862\pi\) | |||||||
\(312\) | 6.95477 | + | 25.9555i | 0.0222909 | + | 0.0831909i | ||||
\(313\) | 74.2751 | − | 277.198i | 0.237301 | − | 0.885618i | −0.739798 | − | 0.672829i | \(-0.765079\pi\) |
0.977098 | − | 0.212788i | \(-0.0682545\pi\) | |||||||
\(314\) | 198.790i | 0.633091i | ||||||||
\(315\) | −18.5955 | + | 103.340i | −0.0590334 | + | 0.328064i | ||||
\(316\) | −660.473 | −2.09010 | ||||||||
\(317\) | −335.924 | − | 90.0106i | −1.05970 | − | 0.283945i | −0.313444 | − | 0.949607i | \(-0.601483\pi\) |
−0.746254 | + | 0.665662i | \(0.768149\pi\) | |||||||
\(318\) | 201.263 | − | 53.9282i | 0.632901 | − | 0.169585i | ||||
\(319\) | −426.947 | − | 246.498i | −1.33839 | − | 0.772721i | ||||
\(320\) | 447.327 | − | 14.4058i | 1.39790 | − | 0.0450180i | ||||
\(321\) | −105.124 | −0.327489 | ||||||||
\(322\) | −152.310 | + | 49.3549i | −0.473011 | + | 0.153276i | ||||
\(323\) | 36.6471 | + | 36.6471i | 0.113458 | + | 0.113458i | ||||
\(324\) | 38.4312 | − | 22.1882i | 0.118615 | − | 0.0684822i | ||||
\(325\) | 104.743 | + | 92.0542i | 0.322285 | + | 0.283244i | ||||
\(326\) | −87.3421 | + | 151.281i | −0.267921 | + | 0.464052i | ||||
\(327\) | −36.0436 | − | 9.65785i | −0.110225 | − | 0.0295347i | ||||
\(328\) | 113.933 | + | 113.933i | 0.347358 | + | 0.347358i | ||||
\(329\) | −241.938 | − | 373.199i | −0.735373 | − | 1.13434i | ||||
\(330\) | −306.362 | − | 163.964i | −0.928371 | − | 0.496860i | ||||
\(331\) | −36.2176 | − | 62.7307i | −0.109419 | − | 0.189519i | 0.806116 | − | 0.591757i | \(-0.201566\pi\) |
−0.915535 | + | 0.402239i | \(0.868232\pi\) | |||||||
\(332\) | 179.917 | + | 671.458i | 0.541918 | + | 2.02246i | ||||
\(333\) | 131.349 | − | 35.1950i | 0.394443 | − | 0.105691i | ||||
\(334\) | −340.464 | + | 196.567i | −1.01935 | + | 0.588523i | ||||
\(335\) | −531.305 | + | 160.861i | −1.58598 | + | 0.480182i | ||||
\(336\) | 7.13115 | + | 138.166i | 0.0212236 | + | 0.411208i | ||||
\(337\) | −255.737 | + | 255.737i | −0.758865 | + | 0.758865i | −0.976116 | − | 0.217251i | \(-0.930291\pi\) |
0.217251 | + | 0.976116i | \(0.430291\pi\) | |||||||
\(338\) | 106.651 | − | 398.028i | 0.315536 | − | 1.17760i | ||||
\(339\) | −26.2928 | − | 15.1802i | −0.0775600 | − | 0.0447793i | ||||
\(340\) | 235.265 | + | 54.9881i | 0.691956 | + | 0.161730i | ||||
\(341\) | 130.466 | + | 225.974i | 0.382599 | + | 0.662680i | ||||
\(342\) | −33.5256 | + | 33.5256i | −0.0980282 | + | 0.0980282i | ||||
\(343\) | −202.270 | + | 277.013i | −0.589707 | + | 0.807617i | ||||
\(344\) | 182.261i | 0.529829i | ||||||||
\(345\) | 66.2481 | − | 2.13346i | 0.192023 | − | 0.00618394i | ||||
\(346\) | 361.835 | − | 626.716i | 1.04576 | − | 1.81132i | ||||
\(347\) | −74.6974 | − | 278.775i | −0.215266 | − | 0.803385i | −0.986073 | − | 0.166315i | \(-0.946813\pi\) |
0.770806 | − | 0.637070i | \(-0.219854\pi\) | |||||||
\(348\) | −81.1625 | + | 302.902i | −0.233225 | + | 0.870409i | ||||
\(349\) | − | 480.492i | − | 1.37677i | −0.725347 | − | 0.688384i | \(-0.758320\pi\) | ||
0.725347 | − | 0.688384i | \(-0.241680\pi\) | |||||||
\(350\) | −312.131 | − | 419.616i | −0.891802 | − | 1.19890i | ||||
\(351\) | 28.9832 | 0.0825731 | ||||||||
\(352\) | −586.529 | − | 157.160i | −1.66627 | − | 0.446477i | ||||
\(353\) | −93.2268 | + | 24.9800i | −0.264098 | + | 0.0707650i | −0.388438 | − | 0.921475i | \(-0.626985\pi\) |
0.124340 | + | 0.992240i | \(0.460319\pi\) | |||||||
\(354\) | 312.905 | + | 180.656i | 0.883912 | + | 0.510327i | ||||
\(355\) | −19.5505 | − | 607.080i | −0.0550718 | − | 1.71009i | ||||
\(356\) | −117.082 | −0.328882 | ||||||||
\(357\) | −24.7960 | + | 116.203i | −0.0694565 | + | 0.325498i | ||||
\(358\) | 558.742 | + | 558.742i | 1.56073 | + | 1.56073i | ||||
\(359\) | 280.865 | − | 162.157i | 0.782353 | − | 0.451692i | −0.0549104 | − | 0.998491i | \(-0.517487\pi\) |
0.837264 | + | 0.546799i | \(0.184154\pi\) | |||||||
\(360\) | −9.49543 | + | 40.6259i | −0.0263762 | + | 0.112850i | ||||
\(361\) | −166.516 | + | 288.415i | −0.461264 | + | 0.798932i | ||||
\(362\) | 825.626 | + | 221.226i | 2.28073 | + | 0.611121i | ||||
\(363\) | 72.5841 | + | 72.5841i | 0.199956 | + | 0.199956i | ||||
\(364\) | 87.5375 | − | 171.466i | 0.240488 | − | 0.471060i | ||||
\(365\) | 7.05173 | + | 23.2910i | 0.0193198 | + | 0.0638110i | ||||
\(366\) | 204.210 | + | 353.702i | 0.557950 | + | 0.966398i | ||||
\(367\) | −66.7783 | − | 249.220i | −0.181957 | − | 0.679074i | −0.995261 | − | 0.0972351i | \(-0.969000\pi\) |
0.813304 | − | 0.581839i | \(-0.197667\pi\) | |||||||
\(368\) | 84.3589 | − | 22.6039i | 0.229236 | − | 0.0614237i | ||||
\(369\) | 150.507 | − | 86.8951i | 0.407877 | − | 0.235488i | ||||
\(370\) | −319.591 | + | 597.149i | −0.863760 | + | 1.61392i | ||||
\(371\) | −250.968 | − | 128.125i | −0.676464 | − | 0.345352i | ||||
\(372\) | 117.362 | − | 117.362i | 0.315490 | − | 0.315490i | ||||
\(373\) | 127.015 | − | 474.026i | 0.340523 | − | 1.27085i | −0.557234 | − | 0.830356i | \(-0.688137\pi\) |
0.897756 | − | 0.440492i | \(-0.145196\pi\) | |||||||
\(374\) | −340.531 | − | 196.605i | −0.910510 | − | 0.525683i | ||||
\(375\) | 75.9409 | + | 202.751i | 0.202509 | + | 0.540669i | ||||
\(376\) | −88.3607 | − | 153.045i | −0.235002 | − | 0.407035i | ||||
\(377\) | −144.823 | + | 144.823i | −0.384145 | + | 0.384145i | ||||
\(378\) | −106.305 | − | 22.6839i | −0.281230 | − | 0.0600104i | ||||
\(379\) | 177.802i | 0.469134i | 0.972100 | + | 0.234567i | \(0.0753672\pi\) | ||||
−0.972100 | + | 0.234567i | \(0.924633\pi\) | |||||||
\(380\) | −4.19656 | − | 130.312i | −0.0110436 | − | 0.342925i | ||||
\(381\) | 25.8158 | − | 44.7143i | 0.0677581 | − | 0.117360i | ||||
\(382\) | 58.9436 | + | 219.981i | 0.154303 | + | 0.575866i | ||||
\(383\) | −119.288 | + | 445.189i | −0.311457 | + | 1.16237i | 0.615786 | + | 0.787913i | \(0.288838\pi\) |
−0.927243 | + | 0.374460i | \(0.877828\pi\) | |||||||
\(384\) | 149.987i | 0.390592i | ||||||||
\(385\) | 159.173 | + | 442.141i | 0.413435 | + | 1.14842i | ||||
\(386\) | −731.958 | −1.89626 | ||||||||
\(387\) | 189.888 | + | 50.8803i | 0.490667 | + | 0.131474i | ||||
\(388\) | −275.540 | + | 73.8306i | −0.710153 | + | 0.190285i | ||||
\(389\) | 258.574 | + | 149.288i | 0.664714 | + | 0.383773i | 0.794071 | − | 0.607825i | \(-0.207958\pi\) |
−0.129357 | + | 0.991598i | \(0.541291\pi\) | |||||||
\(390\) | −98.7374 | + | 105.308i | −0.253173 | + | 0.270022i | ||||
\(391\) | 75.0058 | 0.191831 | ||||||||
\(392\) | −85.9367 | + | 105.780i | −0.219226 | + | 0.269846i | ||||
\(393\) | 153.360 | + | 153.360i | 0.390230 | + | 0.390230i | ||||
\(394\) | 498.053 | − | 287.551i | 1.26409 | − | 0.729825i | ||||
\(395\) | −353.372 | − | 568.944i | −0.894614 | − | 1.44036i | ||||
\(396\) | 99.3017 | − | 171.996i | 0.250762 | − | 0.434332i | ||||
\(397\) | 86.8147 | + | 23.2619i | 0.218677 | + | 0.0585943i | 0.366494 | − | 0.930420i | \(-0.380558\pi\) |
−0.147817 | + | 0.989015i | \(0.547225\pi\) | |||||||
\(398\) | 263.252 | + | 263.252i | 0.661436 | + | 0.661436i | ||||
\(399\) | 64.0337 | − | 3.30497i | 0.160485 | − | 0.00828313i | ||||
\(400\) | 158.236 | + | 237.364i | 0.395591 | + | 0.593409i | ||||
\(401\) | −48.6620 | − | 84.2851i | −0.121352 | − | 0.210187i | 0.798949 | − | 0.601398i | \(-0.205390\pi\) |
−0.920301 | + | 0.391211i | \(0.872056\pi\) | |||||||
\(402\) | −148.737 | − | 555.094i | −0.369993 | − | 1.38083i | ||||
\(403\) | 104.708 | − | 28.0565i | 0.259822 | − | 0.0696190i | ||||
\(404\) | 291.743 | − | 168.438i | 0.722135 | − | 0.416925i | ||||
\(405\) | 39.6752 | + | 21.2340i | 0.0979634 | + | 0.0524295i | ||||
\(406\) | 644.532 | − | 417.838i | 1.58752 | − | 1.02916i | ||||
\(407\) | 430.332 | − | 430.332i | 1.05733 | − | 1.05733i | ||||
\(408\) | −12.2193 | + | 45.6030i | −0.0299492 | + | 0.111772i | ||||
\(409\) | 232.510 | + | 134.240i | 0.568485 | + | 0.328215i | 0.756544 | − | 0.653943i | \(-0.226886\pi\) |
−0.188059 | + | 0.982158i | \(0.560220\pi\) | |||||||
\(410\) | −197.006 | + | 842.883i | −0.480502 | + | 2.05581i | ||||
\(411\) | 31.7322 | + | 54.9618i | 0.0772074 | + | 0.133727i | ||||
\(412\) | 442.392 | − | 442.392i | 1.07377 | − | 1.07377i | ||||
\(413\) | −150.625 | − | 464.830i | −0.364710 | − | 1.12550i | ||||
\(414\) | 68.6171i | 0.165742i | ||||||||
\(415\) | −482.146 | + | 514.234i | −1.16180 | + | 1.23912i | ||||
\(416\) | −126.132 | + | 218.466i | −0.303201 | + | 0.525160i | ||||
\(417\) | −37.9471 | − | 141.621i | −0.0910003 | − | 0.339618i | ||||
\(418\) | −54.9190 | + | 204.960i | −0.131385 | + | 0.490336i | ||||
\(419\) | − | 515.863i | − | 1.23118i | −0.788068 | − | 0.615588i | \(-0.788919\pi\) | ||
0.788068 | − | 0.615588i | \(-0.211081\pi\) | |||||||
\(420\) | 245.452 | − | 170.588i | 0.584408 | − | 0.406161i | ||||
\(421\) | −470.236 | −1.11695 | −0.558475 | − | 0.829521i | \(-0.688613\pi\) | ||||
−0.558475 | + | 0.829521i | \(0.688613\pi\) | |||||||
\(422\) | −73.7721 | − | 19.7672i | −0.174815 | − | 0.0468417i | ||||
\(423\) | −184.116 | + | 49.3338i | −0.435263 | + | 0.116628i | ||||
\(424\) | −96.9634 | − | 55.9819i | −0.228687 | − | 0.132033i | ||||
\(425\) | 78.5060 | + | 232.082i | 0.184720 | + | 0.546075i | ||||
\(426\) | 628.789 | 1.47603 | ||||||||
\(427\) | 115.265 | − | 540.172i | 0.269941 | − | 1.26504i | ||||
\(428\) | 211.610 | + | 211.610i | 0.494416 | + | 0.494416i | ||||
\(429\) | 112.334 | − | 64.8560i | 0.261850 | − | 0.151179i | ||||
\(430\) | −831.764 | + | 516.611i | −1.93434 | + | 1.20142i | ||||
\(431\) | −135.577 | + | 234.827i | −0.314564 | + | 0.544841i | −0.979345 | − | 0.202198i | \(-0.935192\pi\) |
0.664781 | + | 0.747039i | \(0.268525\pi\) | |||||||
\(432\) | 57.2724 | + | 15.3461i | 0.132575 | + | 0.0355233i | ||||
\(433\) | −135.694 | − | 135.694i | −0.313381 | − | 0.313381i | 0.532837 | − | 0.846218i | \(-0.321126\pi\) |
−0.846218 | + | 0.532837i | \(0.821126\pi\) | |||||||
\(434\) | −406.009 | + | 20.9554i | −0.935506 | + | 0.0482842i | ||||
\(435\) | −304.350 | + | 92.1469i | −0.699656 | + | 0.211832i | ||||
\(436\) | 53.1134 | + | 91.9950i | 0.121820 | + | 0.210998i | ||||
\(437\) | −10.4759 | − | 39.0966i | −0.0239723 | − | 0.0894660i | ||||
\(438\) | −24.3339 | + | 6.52024i | −0.0555568 | + | 0.0148864i | ||||
\(439\) | 406.331 | − | 234.596i | 0.925584 | − | 0.534386i | 0.0401720 | − | 0.999193i | \(-0.487209\pi\) |
0.885412 | + | 0.464806i | \(0.153876\pi\) | |||||||
\(440\) | 54.1064 | + | 178.707i | 0.122969 | + | 0.406153i | ||||
\(441\) | 86.2158 | + | 119.062i | 0.195501 | + | 0.269983i | ||||
\(442\) | −115.510 | + | 115.510i | −0.261335 | + | 0.261335i | ||||
\(443\) | 79.5993 | − | 297.069i | 0.179682 | − | 0.670584i | −0.816024 | − | 0.578018i | \(-0.803826\pi\) |
0.995707 | − | 0.0925661i | \(-0.0295070\pi\) | |||||||
\(444\) | −335.247 | − | 193.555i | −0.755061 | − | 0.435934i | ||||
\(445\) | −62.6423 | − | 100.857i | −0.140769 | − | 0.226644i | ||||
\(446\) | −124.631 | − | 215.867i | −0.279441 | − | 0.484006i | ||||
\(447\) | −39.9641 | + | 39.9641i | −0.0894052 | + | 0.0894052i | ||||
\(448\) | 419.635 | − | 465.309i | 0.936685 | − | 1.03864i | ||||
\(449\) | 556.174i | 1.23870i | 0.785117 | + | 0.619348i | \(0.212603\pi\) | ||||
−0.785117 | + | 0.619348i | \(0.787397\pi\) | |||||||
\(450\) | −212.314 | + | 71.8191i | −0.471809 | + | 0.159598i | ||||
\(451\) | 388.892 | − | 673.581i | 0.862289 | − | 1.49353i | ||||
\(452\) | 22.3693 | + | 83.4834i | 0.0494896 | + | 0.184698i | ||||
\(453\) | −69.9736 | + | 261.145i | −0.154467 | + | 0.576479i | ||||
\(454\) | 1231.18i | 2.71186i | ||||||||
\(455\) | 194.539 | − | 16.3328i | 0.427558 | − | 0.0358964i | ||||
\(456\) | 25.4771 | 0.0558708 | ||||||||
\(457\) | 496.047 | + | 132.915i | 1.08544 | + | 0.290843i | 0.756823 | − | 0.653620i | \(-0.226750\pi\) |
0.328618 | + | 0.944463i | \(0.393417\pi\) | |||||||
\(458\) | −1085.17 | + | 290.772i | −2.36938 | + | 0.634872i | ||||
\(459\) | 44.1001 | + | 25.4612i | 0.0960786 | + | 0.0554710i | ||||
\(460\) | −137.649 | − | 129.060i | −0.299237 | − | 0.280565i | ||||
\(461\) | −140.261 | −0.304254 | −0.152127 | − | 0.988361i | \(-0.548612\pi\) | ||||
−0.152127 | + | 0.988361i | \(0.548612\pi\) | |||||||
\(462\) | −462.781 | + | 149.961i | −1.00169 | + | 0.324591i | ||||
\(463\) | −440.572 | − | 440.572i | −0.951560 | − | 0.951560i | 0.0473198 | − | 0.998880i | \(-0.484932\pi\) |
−0.998880 | + | 0.0473198i | \(0.984932\pi\) | |||||||
\(464\) | −362.859 | + | 209.497i | −0.782024 | + | 0.451502i | ||||
\(465\) | 163.890 | + | 38.3058i | 0.352452 | + | 0.0823781i | ||||
\(466\) | 36.2859 | − | 62.8490i | 0.0778667 | − | 0.134869i | ||||
\(467\) | −428.655 | − | 114.858i | −0.917892 | − | 0.245948i | −0.231208 | − | 0.972904i | \(-0.574268\pi\) |
−0.686684 | + | 0.726956i | \(0.740934\pi\) | |||||||
\(468\) | −58.3419 | − | 58.3419i | −0.124662 | − | 0.124662i | ||||
\(469\) | −353.377 | + | 692.185i | −0.753470 | + | 1.47587i | ||||
\(470\) | 447.980 | − | 837.041i | 0.953150 | − | 1.78094i | ||||
\(471\) | −57.6080 | − | 99.7800i | −0.122310 | − | 0.211847i | ||||
\(472\) | −50.2500 | − | 187.535i | −0.106462 | − | 0.397321i | ||||
\(473\) | 849.829 | − | 227.711i | 1.79668 | − | 0.481419i | ||||
\(474\) | 600.453 | − | 346.672i | 1.26678 | − | 0.731375i | ||||
\(475\) | 110.008 | − | 73.3355i | 0.231595 | − | 0.154391i | ||||
\(476\) | 283.825 | − | 183.998i | 0.596270 | − | 0.386551i | ||||
\(477\) | −85.3929 | + | 85.3929i | −0.179021 | + | 0.179021i | ||||
\(478\) | 39.1894 | − | 146.257i | 0.0819862 | − | 0.305977i | ||||
\(479\) | −190.500 | − | 109.985i | −0.397703 | − | 0.229614i | 0.287789 | − | 0.957694i | \(-0.407080\pi\) |
−0.685492 | + | 0.728080i | \(0.740413\pi\) | |||||||
\(480\) | −332.717 | + | 206.652i | −0.693161 | + | 0.430524i | ||||
\(481\) | −126.415 | − | 218.957i | −0.262816 | − | 0.455211i | ||||
\(482\) | 246.426 | − | 246.426i | 0.511257 | − | 0.511257i | ||||
\(483\) | 62.1469 | − | 68.9112i | 0.128669 | − | 0.142673i | ||||
\(484\) | − | 292.217i | − | 0.603755i | ||||||
\(485\) | −211.021 | − | 197.853i | −0.435095 | − | 0.407945i | ||||
\(486\) | −23.2925 | + | 40.3438i | −0.0479270 | + | 0.0830120i | ||||
\(487\) | −100.187 | − | 373.904i | −0.205723 | − | 0.767770i | −0.989228 | − | 0.146384i | \(-0.953237\pi\) |
0.783504 | − | 0.621386i | \(-0.213430\pi\) | |||||||
\(488\) | 56.8016 | − | 211.987i | 0.116397 | − | 0.434399i | ||||
\(489\) | − | 101.244i | − | 0.207044i | ||||||
\(490\) | −726.318 | − | 92.3518i | −1.48228 | − | 0.188473i | ||||
\(491\) | 285.045 | 0.580539 | 0.290269 | − | 0.956945i | \(-0.406255\pi\) | ||||
0.290269 | + | 0.956945i | \(0.406255\pi\) | |||||||
\(492\) | −477.880 | − | 128.048i | −0.971301 | − | 0.260259i | ||||
\(493\) | −347.583 | + | 93.1347i | −0.705037 | + | 0.188914i | ||||
\(494\) | 76.3423 | + | 44.0763i | 0.154539 | + | 0.0892232i | ||||
\(495\) | 201.290 | − | 6.48235i | 0.406646 | − | 0.0130957i | ||||
\(496\) | 221.764 | 0.447106 | ||||||||
\(497\) | −631.484 | − | 569.498i | −1.27059 | − | 1.14587i | ||||
\(498\) | −516.005 | − | 516.005i | −1.03615 | − | 1.03615i | ||||
\(499\) | 439.080 | − | 253.503i | 0.879920 | − | 0.508022i | 0.00928793 | − | 0.999957i | \(-0.497044\pi\) |
0.870632 | + | 0.491935i | \(0.163710\pi\) | |||||||
\(500\) | 255.263 | − | 560.995i | 0.510527 | − | 1.12199i | ||||
\(501\) | 113.927 | − | 197.328i | 0.227400 | − | 0.393868i | ||||
\(502\) | 925.530 | + | 247.995i | 1.84368 | + | 0.494014i | ||||
\(503\) | 261.451 | + | 261.451i | 0.519784 | + | 0.519784i | 0.917506 | − | 0.397722i | \(-0.130199\pi\) |
−0.397722 | + | 0.917506i | \(0.630199\pi\) | |||||||
\(504\) | 31.7731 | + | 49.0113i | 0.0630418 | + | 0.0972446i | ||||
\(505\) | 301.186 | + | 161.193i | 0.596408 | + | 0.319195i | ||||
\(506\) | 153.545 | + | 265.948i | 0.303449 | + | 0.525589i | ||||
\(507\) | 61.8135 | + | 230.691i | 0.121920 | + | 0.455012i | ||||
\(508\) | −141.974 | + | 38.0419i | −0.279477 | + | 0.0748856i | ||||
\(509\) | 9.46947 | − | 5.46720i | 0.0186041 | − | 0.0107411i | −0.490669 | − | 0.871346i | \(-0.663248\pi\) |
0.509273 | + | 0.860605i | \(0.329914\pi\) | |||||||
\(510\) | −242.748 | + | 73.4958i | −0.475976 | + | 0.144109i | ||||
\(511\) | 30.3436 | + | 15.4911i | 0.0593808 | + | 0.0303153i | ||||
\(512\) | −454.686 | + | 454.686i | −0.888059 | + | 0.888059i | ||||
\(513\) | 7.11223 | − | 26.5432i | 0.0138640 | − | 0.0517411i | ||||
\(514\) | −514.104 | − | 296.818i | −1.00020 | − | 0.577467i | ||||
\(515\) | 617.777 | + | 144.392i | 1.19957 | + | 0.280373i | ||||
\(516\) | −279.816 | − | 484.656i | −0.542280 | − | 0.939256i | ||||
\(517\) | −603.209 | + | 603.209i | −1.16675 | + | 1.16675i | ||||
\(518\) | 292.298 | + | 902.033i | 0.564282 | + | 1.74138i | ||||
\(519\) | 419.428i | 0.808146i | ||||||||
\(520\) | 77.5302 | − | 2.49679i | 0.149096 | − | 0.00480152i | ||||
\(521\) | 71.2494 | − | 123.408i | 0.136755 | − | 0.236867i | −0.789511 | − | 0.613736i | \(-0.789666\pi\) |
0.926267 | + | 0.376869i | \(0.122999\pi\) | |||||||
\(522\) | −85.2018 | − | 317.977i | −0.163222 | − | 0.609152i | ||||
\(523\) | 8.25954 | − | 30.8250i | 0.0157926 | − | 0.0589389i | −0.957580 | − | 0.288168i | \(-0.906954\pi\) |
0.973372 | + | 0.229229i | \(0.0736205\pi\) | |||||||
\(524\) | − | 617.416i | − | 1.17827i | ||||||
\(525\) | 278.271 | + | 120.167i | 0.530040 | + | 0.228890i | ||||
\(526\) | −47.4149 | −0.0901424 | ||||||||
\(527\) | 183.968 | + | 49.2942i | 0.349086 | + | 0.0935374i | ||||
\(528\) | 256.318 | − | 68.6802i | 0.485451 | − | 0.130076i | ||||
\(529\) | 407.397 | + | 235.211i | 0.770127 | + | 0.444633i | ||||
\(530\) | −19.3604 | − | 601.179i | −0.0365291 | − | 1.13430i | ||||
\(531\) | −209.411 | −0.394371 | ||||||||
\(532\) | −135.550 | − | 122.244i | −0.254793 | − | 0.229783i | ||||
\(533\) | −228.483 | − | 228.483i | −0.428673 | − | 0.428673i | ||||
\(534\) | 106.442 | − | 61.4545i | 0.199330 | − | 0.115083i | ||||
\(535\) | −69.0672 | + | 295.502i | −0.129098 | + | 0.552341i | ||||
\(536\) | −154.401 | + | 267.431i | −0.288062 | + | 0.498938i | ||||
\(537\) | −442.372 | − | 118.533i | −0.823784 | − | 0.220732i | ||||
\(538\) | −219.346 | − | 219.346i | −0.407706 | − | 0.407706i | ||||
\(539\) | 600.585 | + | 268.539i | 1.11426 | + | 0.498218i | ||||
\(540\) | −37.1214 | − | 122.607i | −0.0687433 | − | 0.227051i | ||||
\(541\) | −86.8285 | − | 150.391i | −0.160496 | − | 0.277988i | 0.774551 | − | 0.632512i | \(-0.217976\pi\) |
−0.935047 | + | 0.354524i | \(0.884643\pi\) | |||||||
\(542\) | 121.522 | + | 453.526i | 0.224210 | + | 0.836764i | ||||
\(543\) | −478.521 | + | 128.219i | −0.881253 | + | 0.236131i | ||||
\(544\) | −383.838 | + | 221.609i | −0.705584 | + | 0.407369i | ||||
\(545\) | −50.8291 | + | 94.9729i | −0.0932643 | + | 0.174262i | ||||
\(546\) | 10.4171 | + | 201.831i | 0.0190789 | + | 0.369654i | ||||
\(547\) | 95.8716 | − | 95.8716i | 0.175268 | − | 0.175268i | −0.614021 | − | 0.789289i | \(-0.710449\pi\) |
0.789289 | + | 0.614021i | \(0.210449\pi\) | |||||||
\(548\) | 46.7602 | − | 174.511i | 0.0853289 | − | 0.318452i | ||||
\(549\) | −205.000 | − | 118.357i | −0.373407 | − | 0.215586i | ||||
\(550\) | −662.183 | + | 753.457i | −1.20397 | + | 1.36992i | ||||
\(551\) | 97.0925 | + | 168.169i | 0.176211 | + | 0.305207i | ||||
\(552\) | 26.0721 | − | 26.0721i | 0.0472320 | − | 0.0472320i | ||||
\(553\) | −917.009 | − | 195.676i | −1.65824 | − | 0.353845i | ||||
\(554\) | 624.904i | 1.12799i | ||||||||
\(555\) | −12.6351 | − | 392.346i | −0.0227660 | − | 0.706929i | ||||
\(556\) | −208.690 | + | 361.462i | −0.375342 | + | 0.650112i | ||||
\(557\) | 12.5270 | + | 46.7512i | 0.0224900 | + | 0.0839340i | 0.976259 | − | 0.216608i | \(-0.0694992\pi\) |
−0.953769 | + | 0.300542i | \(0.902833\pi\) | |||||||
\(558\) | −45.0955 | + | 168.299i | −0.0808163 | + | 0.301611i | ||||
\(559\) | − | 365.508i | − | 0.653860i | ||||||
\(560\) | 393.068 | + | 70.7304i | 0.701907 | + | 0.126304i | ||||
\(561\) | 227.899 | 0.406238 | ||||||||
\(562\) | 1313.14 | + | 351.855i | 2.33655 | + | 0.626076i | ||||
\(563\) | 272.294 | − | 72.9609i | 0.483648 | − | 0.129593i | −0.00875281 | − | 0.999962i | \(-0.502786\pi\) |
0.492401 | + | 0.870369i | \(0.336119\pi\) | |||||||
\(564\) | 469.925 | + | 271.312i | 0.833201 | + | 0.481049i | ||||
\(565\) | −59.9460 | + | 63.9355i | −0.106099 | + | 0.113160i | ||||
\(566\) | 306.797 | 0.542045 | ||||||||
\(567\) | 59.9320 | − | 19.4206i | 0.105700 | − | 0.0342514i | ||||
\(568\) | −238.918 | − | 238.918i | −0.420629 | − | 0.420629i | ||||
\(569\) | −466.721 | + | 269.461i | −0.820247 | + | 0.473570i | −0.850502 | − | 0.525972i | \(-0.823702\pi\) |
0.0302544 | + | 0.999542i | \(0.490368\pi\) | |||||||
\(570\) | 72.2137 | + | 116.267i | 0.126691 | + | 0.203977i | ||||
\(571\) | 150.339 | − | 260.394i | 0.263290 | − | 0.456032i | −0.703824 | − | 0.710374i | \(-0.748526\pi\) |
0.967114 | + | 0.254342i | \(0.0818590\pi\) | |||||||
\(572\) | −356.676 | − | 95.5709i | −0.623559 | − | 0.167082i | ||||
\(573\) | −93.3347 | − | 93.3347i | −0.162888 | − | 0.162888i | ||||
\(574\) | 659.210 | + | 1016.86i | 1.14845 | + | 1.77153i | ||||
\(575\) | 37.5284 | − | 187.625i | 0.0652668 | − | 0.326304i | ||||
\(576\) | −134.268 | − | 232.559i | −0.233104 | − | 0.403748i | ||||
\(577\) | 72.3090 | + | 269.861i | 0.125319 | + | 0.467697i | 0.999851 | − | 0.0172714i | \(-0.00549794\pi\) |
−0.874532 | + | 0.484968i | \(0.838831\pi\) | |||||||
\(578\) | 556.998 | − | 149.247i | 0.963664 | − | 0.258213i | ||||
\(579\) | 367.396 | − | 212.116i | 0.634535 | − | 0.366349i | ||||
\(580\) | 798.132 | + | 427.156i | 1.37609 | + | 0.736477i | ||||
\(581\) | 50.8680 | + | 985.565i | 0.0875524 | + | 1.69633i | ||||
\(582\) | 211.748 | − | 211.748i | 0.363828 | − | 0.363828i | ||||
\(583\) | −139.884 | + | 522.053i | −0.239938 | + | 0.895460i | ||||
\(584\) | 11.7235 | + | 6.76855i | 0.0200744 | + | 0.0115900i | ||||
\(585\) | 19.0422 | − | 81.4714i | 0.0325507 | − | 0.139267i | ||||
\(586\) | 216.271 | + | 374.592i | 0.369062 | + | 0.639235i | ||||
\(587\) | −210.055 | + | 210.055i | −0.357845 | + | 0.357845i | −0.863018 | − | 0.505173i | \(-0.831429\pi\) |
0.505173 | + | 0.863018i | \(0.331429\pi\) | |||||||
\(588\) | 66.1187 | − | 413.216i | 0.112447 | − | 0.702749i | ||||
\(589\) | − | 102.778i | − | 0.174496i | ||||||
\(590\) | 713.403 | − | 760.881i | 1.20916 | − | 1.28963i | ||||
\(591\) | −166.660 | + | 288.664i | −0.281997 | + | 0.488434i | ||||
\(592\) | −133.869 | − | 499.605i | −0.226129 | − | 0.843927i | ||||
\(593\) | −271.762 | + | 1014.23i | −0.458284 | + | 1.71034i | 0.219966 | + | 0.975508i | \(0.429405\pi\) |
−0.678250 | + | 0.734831i | \(0.737261\pi\) | |||||||
\(594\) | 208.488i | 0.350989i | ||||||||
\(595\) | 310.354 | + | 146.047i | 0.521603 | + | 0.245458i | ||||
\(596\) | 160.892 | 0.269953 | ||||||||
\(597\) | −208.424 | − | 55.8470i | −0.349119 | − | 0.0935461i | ||||
\(598\) | 123.231 | − | 33.0196i | 0.206071 | − | 0.0552167i | ||||
\(599\) | −516.500 | − | 298.201i | −0.862270 | − | 0.497832i | 0.00250190 | − | 0.999997i | \(-0.499204\pi\) |
−0.864772 | + | 0.502165i | \(0.832537\pi\) | |||||||
\(600\) | 107.961 | + | 53.3831i | 0.179934 | + | 0.0889719i | ||||
\(601\) | −480.552 | −0.799588 | −0.399794 | − | 0.916605i | \(-0.630918\pi\) | ||||
−0.399794 | + | 0.916605i | \(0.630918\pi\) | |||||||
\(602\) | −286.068 | + | 1340.62i | −0.475196 | + | 2.22694i | ||||
\(603\) | 235.519 | + | 235.519i | 0.390578 | + | 0.390578i | ||||
\(604\) | 666.528 | − | 384.820i | 1.10352 | − | 0.637119i | ||||
\(605\) | 251.722 | − | 156.345i | 0.416069 | − | 0.258421i | ||||
\(606\) | −176.821 | + | 306.262i | −0.291783 | + | 0.505383i | ||||
\(607\) | 822.130 | + | 220.289i | 1.35441 | + | 0.362914i | 0.861762 | − | 0.507312i | \(-0.169361\pi\) |
0.492652 | + | 0.870226i | \(0.336028\pi\) | |||||||
\(608\) | 169.123 | + | 169.123i | 0.278163 | + | 0.278163i | ||||
\(609\) | −202.427 | + | 396.508i | −0.332393 | + | 0.651081i | ||||
\(610\) | 1128.42 | − | 341.647i | 1.84987 | − | 0.560077i | ||||
\(611\) | 177.199 | + | 306.918i | 0.290015 | + | 0.502320i | ||||
\(612\) | −37.5193 | − | 140.024i | −0.0613060 | − | 0.228797i | ||||
\(613\) | 1030.27 | − | 276.060i | 1.68070 | − | 0.450343i | 0.712737 | − | 0.701431i | \(-0.247455\pi\) |
0.967964 | + | 0.251089i | \(0.0807885\pi\) | |||||||
\(614\) | 106.874 | − | 61.7035i | 0.174061 | − | 0.100494i | ||||
\(615\) | −145.377 | − | 480.164i | −0.236386 | − | 0.780754i | ||||
\(616\) | 232.820 | + | 118.860i | 0.377955 | + | 0.192955i | ||||
\(617\) | −270.729 | + | 270.729i | −0.438783 | + | 0.438783i | −0.891602 | − | 0.452819i | \(-0.850418\pi\) |
0.452819 | + | 0.891602i | \(0.350418\pi\) | |||||||
\(618\) | −169.986 | + | 634.395i | −0.275057 | + | 1.02653i | ||||
\(619\) | 136.247 | + | 78.6625i | 0.220109 | + | 0.127080i | 0.606001 | − | 0.795464i | \(-0.292773\pi\) |
−0.385892 | + | 0.922544i | \(0.626106\pi\) | |||||||
\(620\) | −252.796 | − | 407.012i | −0.407736 | − | 0.656471i | ||||
\(621\) | −19.8847 | − | 34.4414i | −0.0320205 | − | 0.0554611i | ||||
\(622\) | −849.859 | + | 849.859i | −1.36633 | + | 1.36633i | ||||
\(623\) | −162.558 | − | 34.6875i | −0.260928 | − | 0.0556782i | ||||
\(624\) | − | 110.241i | − | 0.176669i | ||||||
\(625\) | 619.825 | − | 80.2602i | 0.991720 | − | 0.128416i | ||||
\(626\) | 428.805 | − | 742.712i | 0.684992 | − | 1.18644i | ||||
\(627\) | −31.8302 | − | 118.792i | −0.0507659 | − | 0.189461i | ||||
\(628\) | −84.8905 | + | 316.816i | −0.135176 | + | 0.504483i | ||||
\(629\) | − | 444.212i | − | 0.706219i | ||||||
\(630\) | −133.608 | + | 283.919i | −0.212076 | + | 0.450666i | ||||
\(631\) | −131.406 | −0.208250 | −0.104125 | − | 0.994564i | \(-0.533204\pi\) | ||||
−0.104125 | + | 0.994564i | \(0.533204\pi\) | |||||||
\(632\) | −359.874 | − | 96.4279i | −0.569421 | − | 0.152576i | ||||
\(633\) | 42.7572 | − | 11.4568i | 0.0675470 | − | 0.0180992i | ||||
\(634\) | −900.060 | − | 519.650i | −1.41965 | − | 0.819637i | ||||
\(635\) | −108.730 | − | 101.946i | −0.171229 | − | 0.160545i | ||||
\(636\) | 343.785 | 0.540542 | ||||||||
\(637\) | 172.338 | − | 212.131i | 0.270546 | − | 0.333016i | ||||
\(638\) | −1041.77 | − | 1041.77i | −1.63287 | − | 1.63287i | ||||
\(639\) | −315.612 | + | 182.219i | −0.493915 | + | 0.285162i | ||||
\(640\) | 421.613 | + | 98.5428i | 0.658770 | + | 0.153973i | ||||
\(641\) | −128.958 | + | 223.362i | −0.201182 | + | 0.348458i | −0.948910 | − | 0.315548i | \(-0.897812\pi\) |
0.747727 | + | 0.664006i | \(0.231145\pi\) | |||||||
\(642\) | −303.451 | − | 81.3094i | −0.472665 | − | 0.126650i | ||||
\(643\) | 778.940 | + | 778.940i | 1.21142 | + | 1.21142i | 0.970561 | + | 0.240854i | \(0.0774274\pi\) |
0.240854 | + | 0.970561i | \(0.422573\pi\) | |||||||
\(644\) | −263.814 | + | 13.6162i | −0.409650 | + | 0.0211432i | ||||
\(645\) | 267.782 | − | 500.345i | 0.415166 | − | 0.775728i | ||||
\(646\) | 77.4404 | + | 134.131i | 0.119877 | + | 0.207633i | ||||
\(647\) | 98.6974 | + | 368.344i | 0.152546 | + | 0.569310i | 0.999303 | + | 0.0373301i | \(0.0118853\pi\) |
−0.846757 | + | 0.531980i | \(0.821448\pi\) | |||||||
\(648\) | 24.1795 | − | 6.47889i | 0.0373141 | − | 0.00999829i | ||||
\(649\) | −811.641 | + | 468.601i | −1.25060 | + | 0.722035i | ||||
\(650\) | 231.150 | + | 346.738i | 0.355615 | + | 0.533444i | ||||
\(651\) | 197.718 | − | 128.177i | 0.303714 | − | 0.196892i | ||||
\(652\) | −203.801 | + | 203.801i | −0.312578 | + | 0.312578i | ||||
\(653\) | 291.908 | − | 1089.41i | 0.447026 | − | 1.66832i | −0.263506 | − | 0.964658i | \(-0.584879\pi\) |
0.710532 | − | 0.703665i | \(-0.248454\pi\) | |||||||
\(654\) | −96.5735 | − | 55.7567i | −0.147666 | − | 0.0852550i | ||||
\(655\) | 531.854 | − | 330.336i | 0.811990 | − | 0.504329i | ||||
\(656\) | −330.517 | − | 572.472i | −0.503836 | − | 0.872670i | ||||
\(657\) | 10.3245 | − | 10.3245i | 0.0157146 | − | 0.0157146i | ||||
\(658\) | −409.723 | − | 1264.41i | −0.622679 | − | 1.92159i | ||||
\(659\) | − | 737.560i | − | 1.11921i | −0.828759 | − | 0.559605i | \(-0.810953\pi\) | ||
0.828759 | − | 0.559605i | \(-0.189047\pi\) | |||||||
\(660\) | −418.236 | − | 392.139i | −0.633691 | − | 0.594150i | ||||
\(661\) | −166.939 | + | 289.147i | −0.252555 | + | 0.437439i | −0.964229 | − | 0.265072i | \(-0.914604\pi\) |
0.711673 | + | 0.702511i | \(0.247938\pi\) | |||||||
\(662\) | −56.0259 | − | 209.092i | −0.0846313 | − | 0.315848i | ||||
\(663\) | 24.5046 | − | 91.4524i | 0.0369602 | − | 0.137937i | ||||
\(664\) | 392.127i | 0.590553i | ||||||||
\(665\) | 32.7804 | − | 182.170i | 0.0492939 | − | 0.273939i | ||||
\(666\) | 406.376 | 0.610174 | ||||||||
\(667\) | 271.456 | + | 72.7365i | 0.406981 | + | 0.109050i | ||||
\(668\) | −626.543 | + | 167.882i | −0.937939 | + | 0.251320i | ||||
\(669\) | 125.113 | + | 72.2341i | 0.187015 | + | 0.107973i | ||||
\(670\) | −1658.09 | + | 53.3972i | −2.47476 | + | 0.0796973i | ||||
\(671\) | −1059.40 | −1.57883 | ||||||||
\(672\) | −114.431 | + | 536.266i | −0.170284 | + | 0.798014i | ||||
\(673\) | −183.139 | − | 183.139i | −0.272123 | − | 0.272123i | 0.557831 | − | 0.829954i | \(-0.311634\pi\) |
−0.829954 | + | 0.557831i | \(0.811634\pi\) | |||||||
\(674\) | −936.016 | + | 540.409i | −1.38875 | + | 0.801794i | ||||
\(675\) | 85.7554 | − | 97.5757i | 0.127045 | − | 0.144557i | ||||
\(676\) | 339.943 | − | 588.799i | 0.502875 | − | 0.871005i | ||||
\(677\) | −806.946 | − | 216.220i | −1.19194 | − | 0.319380i | −0.392290 | − | 0.919842i | \(-0.628317\pi\) |
−0.799654 | + | 0.600461i | \(0.794984\pi\) | |||||||
\(678\) | −64.1557 | − | 64.1557i | −0.0946249 | − | 0.0946249i | ||||
\(679\) | −404.436 | + | 20.8742i | −0.595635 | + | 0.0307425i | ||||
\(680\) | 120.161 | + | 64.3098i | 0.176708 | + | 0.0945733i | ||||
\(681\) | −356.788 | − | 617.975i | −0.523918 | − | 0.907452i | ||||
\(682\) | 201.821 | + | 753.208i | 0.295926 | + | 1.10441i | ||||
\(683\) | −909.178 | + | 243.613i | −1.33115 | + | 0.356681i | −0.853145 | − | 0.521674i | \(-0.825308\pi\) |
−0.478008 | + | 0.878355i | \(0.658641\pi\) | |||||||
\(684\) | −67.7469 | + | 39.1137i | −0.0990452 | + | 0.0571838i | ||||
\(685\) | 175.346 | − | 53.0887i | 0.255979 | − | 0.0775017i | ||||
\(686\) | −798.131 | + | 643.177i | −1.16346 | + | 0.937576i | ||||
\(687\) | 460.424 | − | 460.424i | 0.670195 | − | 0.670195i | ||||
\(688\) | 193.530 | − | 722.263i | 0.281293 | − | 1.04980i | ||||
\(689\) | 194.451 | + | 112.266i | 0.282222 | + | 0.162941i | ||||
\(690\) | 192.882 | + | 45.0820i | 0.279539 | + | 0.0653362i | ||||
\(691\) | −409.191 | − | 708.740i | −0.592172 | − | 1.02567i | −0.993939 | − | 0.109931i | \(-0.964937\pi\) |
0.401767 | − | 0.915742i | \(-0.368396\pi\) | |||||||
\(692\) | 844.291 | − | 844.291i | 1.22007 | − | 1.22007i | ||||
\(693\) | 188.828 | − | 209.381i | 0.272480 | − | 0.302137i | ||||
\(694\) | − | 862.487i | − | 1.24278i | ||||||
\(695\) | −423.026 | + | 13.6232i | −0.608670 | + | 0.0196017i | ||||
\(696\) | −88.4465 | + | 153.194i | −0.127078 | + | 0.220106i | ||||
\(697\) | −146.936 | − | 548.371i | −0.210812 | − | 0.786760i | ||||
\(698\) | 371.643 | − | 1386.99i | 0.532439 | − | 1.98709i | ||||
\(699\) | 42.0616i | 0.0601739i | ||||||||
\(700\) | −318.257 | − | 802.040i | −0.454652 | − | 1.14577i | ||||
\(701\) | 480.047 | 0.684803 | 0.342402 | − | 0.939554i | \(-0.388760\pi\) | ||||
0.342402 | + | 0.939554i | \(0.388760\pi\) | |||||||
\(702\) | 83.6629 | + | 22.4174i | 0.119178 | + | 0.0319336i | ||||
\(703\) | −231.545 | + | 62.0422i | −0.329366 | + | 0.0882535i | ||||
\(704\) | −1040.80 | − | 600.905i | −1.47841 | − | 0.853558i | ||||
\(705\) | 17.7110 | + | 549.962i | 0.0251220 | + | 0.780088i | ||||
\(706\) | −288.430 | −0.408541 | ||||||||
\(707\) | 454.962 | − | 147.427i | 0.643510 | − | 0.208525i | ||||
\(708\) | 421.535 | + | 421.535i | 0.595389 | + | 0.595389i | ||||
\(709\) | −1211.17 | + | 699.271i | −1.70828 | + | 0.986278i | −0.771597 | + | 0.636112i | \(0.780542\pi\) |
−0.936688 | + | 0.350166i | \(0.886125\pi\) | |||||||
\(710\) | 413.120 | − | 1767.52i | 0.581859 | − | 2.48947i | ||||
\(711\) | −200.926 | + | 348.014i | −0.282596 | + | 0.489471i | ||||
\(712\) | −63.7948 | − | 17.0938i | −0.0895994 | − | 0.0240081i | ||||
\(713\) | −105.178 | − | 105.178i | −0.147515 | − | 0.147515i | ||||
\(714\) | −161.455 | + | 316.253i | −0.226127 | + | 0.442931i | ||||
\(715\) | −108.505 | − | 358.380i | −0.151756 | − | 0.501231i | ||||
\(716\) | 651.874 | + | 1129.08i | 0.910438 | + | 1.57693i | ||||
\(717\) | 22.7136 | + | 84.7684i | 0.0316787 | + | 0.118226i | ||||
\(718\) | 936.168 | − | 250.845i | 1.30385 | − | 0.349367i | ||||
\(719\) | 742.957 | − | 428.946i | 1.03332 | − | 0.596587i | 0.115386 | − | 0.993321i | \(-0.463190\pi\) |
0.917934 | + | 0.396734i | \(0.129856\pi\) | |||||||
\(720\) | 80.7661 | − | 150.910i | 0.112175 | − | 0.209597i | ||||
\(721\) | 745.289 | − | 483.157i | 1.03369 | − | 0.670120i | ||||
\(722\) | −703.744 | + | 703.744i | −0.974715 | + | 0.974715i | ||||
\(723\) | −52.2775 | + | 195.102i | −0.0723063 | + | 0.269851i | ||||
\(724\) | 1221.34 | + | 705.142i | 1.68694 | + | 0.973953i | ||||
\(725\) | 59.0635 | + | 916.067i | 0.0814669 | + | 1.26354i | ||||
\(726\) | 153.380 | + | 265.663i | 0.211268 | + | 0.365926i | ||||
\(727\) | 8.47406 | − | 8.47406i | 0.0116562 | − | 0.0116562i | −0.701255 | − | 0.712911i | \(-0.747376\pi\) |
0.712911 | + | 0.701255i | \(0.247376\pi\) | |||||||
\(728\) | 72.7305 | − | 80.6468i | 0.0999046 | − | 0.110779i | ||||
\(729\) | − | 27.0000i | − | 0.0370370i | ||||||
\(730\) | 2.34079 | + | 72.6862i | 0.00320656 | + | 0.0995701i | ||||
\(731\) | 321.092 | − | 556.147i | 0.439250 | − | 0.760804i | ||||
\(732\) | 174.409 | + | 650.905i | 0.238264 | + | 0.889214i | ||||
\(733\) | −288.580 | + | 1076.99i | −0.393697 | + | 1.46930i | 0.430292 | + | 0.902690i | \(0.358411\pi\) |
−0.823989 | + | 0.566606i | \(0.808256\pi\) | |||||||
\(734\) | − | 771.050i | − | 1.05048i | ||||||
\(735\) | 391.328 | − | 164.127i | 0.532419 | − | 0.223302i | ||||
\(736\) | 346.145 | 0.470306 | ||||||||
\(737\) | 1439.85 | + | 385.807i | 1.95367 | + | 0.523483i | ||||
\(738\) | 501.663 | − | 134.420i | 0.679761 | − | 0.182141i | ||||
\(739\) | −635.156 | − | 366.708i | −0.859481 | − | 0.496221i | 0.00435760 | − | 0.999991i | \(-0.498613\pi\) |
−0.863838 | + | 0.503769i | \(0.831946\pi\) | |||||||
\(740\) | −764.341 | + | 815.209i | −1.03289 | + | 1.10163i | ||||
\(741\) | −51.0919 | −0.0689500 | ||||||||
\(742\) | −625.345 | − | 563.962i | −0.842784 | − | 0.760056i | ||||
\(743\) | −342.256 | − | 342.256i | −0.460641 | − | 0.460641i | 0.438225 | − | 0.898865i | \(-0.355607\pi\) |
−0.898865 | + | 0.438225i | \(0.855607\pi\) | |||||||
\(744\) | 81.0822 | − | 46.8128i | 0.108981 | − | 0.0629205i | ||||
\(745\) | 86.0820 | + | 138.595i | 0.115546 | + | 0.186034i | ||||
\(746\) | 733.284 | − | 1270.08i | 0.982954 | − | 1.70253i | ||||
\(747\) | 408.536 | + | 109.467i | 0.546902 | + | 0.146542i | ||||
\(748\) | −458.752 | − | 458.752i | −0.613304 | − | 0.613304i | ||||
\(749\) | 231.109 | + | 356.495i | 0.308557 | + | 0.475961i | ||||
\(750\) | 62.3908 | + | 643.999i | 0.0831878 | + | 0.858665i | ||||
\(751\) | −217.704 | − | 377.075i | −0.289886 | − | 0.502097i | 0.683897 | − | 0.729579i | \(-0.260284\pi\) |
−0.973782 | + | 0.227482i | \(0.926951\pi\) | |||||||
\(752\) | 187.648 | + | 700.310i | 0.249531 | + | 0.931264i | ||||
\(753\) | −536.424 | + | 143.734i | −0.712382 | + | 0.190882i | ||||
\(754\) | −530.061 | + | 306.031i | −0.702999 | + | 0.405877i | ||||
\(755\) | 688.103 | + | 368.270i | 0.911395 | + | 0.487774i | ||||
\(756\) | −159.733 | − | 81.5477i | −0.211287 | − | 0.107867i | ||||
\(757\) | 136.675 | − | 136.675i | 0.180548 | − | 0.180548i | −0.611047 | − | 0.791595i | \(-0.709251\pi\) |
0.791595 | + | 0.611047i | \(0.209251\pi\) | |||||||
\(758\) | −137.523 | + | 513.243i | −0.181429 | + | 0.677101i | ||||
\(759\) | −154.140 | − | 88.9926i | −0.203083 | − | 0.117250i | ||||
\(760\) | 16.7387 | − | 71.6159i | 0.0220246 | − | 0.0942315i | ||||
\(761\) | 191.516 | + | 331.716i | 0.251664 | + | 0.435895i | 0.963984 | − | 0.265960i | \(-0.0856889\pi\) |
−0.712320 | + | 0.701855i | \(0.752356\pi\) | |||||||
\(762\) | 109.105 | − | 109.105i | 0.143182 | − | 0.143182i | ||||
\(763\) | 46.4882 | + | 143.463i | 0.0609282 | + | 0.188025i | ||||
\(764\) | 375.758i | 0.491829i | ||||||||
\(765\) | 100.545 | − | 107.237i | 0.131432 | − | 0.140179i | ||||
\(766\) | −688.674 | + | 1192.82i | −0.899052 | + | 1.55720i | ||||
\(767\) | 100.772 | + | 376.085i | 0.131384 | + | 0.490332i | ||||
\(768\) | 44.4987 | − | 166.072i | 0.0579411 | − | 0.216239i | ||||
\(769\) | − | 210.497i | − | 0.273729i | −0.990590 | − | 0.136864i | \(-0.956298\pi\) | ||
0.990590 | − | 0.136864i | \(-0.0437024\pi\) | |||||||
\(770\) | 117.489 | + | 1399.40i | 0.152583 | + | 1.81740i | ||||
\(771\) | 344.063 | 0.446255 | ||||||||
\(772\) | −1166.53 | − | 312.571i | −1.51105 | − | 0.404885i | ||||
\(773\) | −415.715 | + | 111.390i | −0.537794 | + | 0.144101i | −0.517485 | − | 0.855692i | \(-0.673132\pi\) |
−0.0203089 | + | 0.999794i | \(0.506465\pi\) | |||||||
\(774\) | 508.777 | + | 293.743i | 0.657335 | + | 0.379512i | ||||
\(775\) | 215.355 | − | 435.527i | 0.277877 | − | 0.561971i | ||||
\(776\) | −160.913 | −0.207362 | ||||||||
\(777\) | −408.118 | − | 368.057i | −0.525248 | − | 0.473690i | ||||
\(778\) | 630.931 | + | 630.931i | 0.810965 | + | 0.810965i | ||||
\(779\) | −265.315 | + | 153.180i | −0.340584 | + | 0.196637i | ||||
\(780\) | −202.330 | + | 125.667i | −0.259397 | + | 0.161112i | ||||
\(781\) | −815.505 | + | 1412.50i | −1.04418 | + | 1.80857i | ||||
\(782\) | 216.512 | + | 58.0142i | 0.276869 | + | 0.0741869i | ||||
\(783\) | 134.913 | + | 134.913i | 0.172303 | + | 0.172303i | ||||
\(784\) | 452.869 | − | 327.933i | 0.577639 | − | 0.418282i | ||||
\(785\) | −318.330 | + | 96.3794i | −0.405516 | + | 0.122776i | ||||
\(786\) | 324.072 | + | 561.309i | 0.412305 | + | 0.714133i | ||||
\(787\) | −190.107 | − | 709.488i | −0.241559 | − | 0.901510i | −0.975082 | − | 0.221845i | \(-0.928792\pi\) |
0.733523 | − | 0.679665i | \(-0.237875\pi\) | |||||||
\(788\) | 916.549 | − | 245.589i | 1.16313 | − | 0.311661i | ||||
\(789\) | 23.7992 | − | 13.7405i | 0.0301638 | − | 0.0174151i | ||||
\(790\) | −579.989 | − | 1915.63i | −0.734163 | − | 2.42485i | ||||
\(791\) | 6.32449 | + | 122.537i | 0.00799556 | + | 0.154914i | ||||
\(792\) | 79.2179 | − | 79.2179i | 0.100023 | − | 0.100023i | ||||
\(793\) | −113.910 | + | 425.119i | −0.143645 | + | 0.536089i | ||||
\(794\) | 232.607 | + | 134.296i | 0.292956 | + | 0.169138i | ||||
\(795\) | 183.935 | + | 296.143i | 0.231365 | + | 0.372506i | ||||
\(796\) | 307.131 | + | 531.966i | 0.385843 | + | 0.668299i | ||||
\(797\) | 657.078 | − | 657.078i | 0.824439 | − | 0.824439i | −0.162302 | − | 0.986741i | \(-0.551892\pi\) |
0.986741 | + | 0.162302i | \(0.0518919\pi\) | |||||||
\(798\) | 187.396 | + | 39.9875i | 0.234832 | + | 0.0501097i | ||||
\(799\) | 622.665i | 0.779305i | ||||||||
\(800\) | 362.298 | + | 1071.04i | 0.452872 | + | 1.33880i | ||||
\(801\) | −35.6181 | + | 61.6924i | −0.0444671 | + | 0.0770192i | ||||
\(802\) | −75.2765 | − | 280.936i | −0.0938610 | − | 0.350294i | ||||
\(803\) | 16.9128 | − | 63.1194i | 0.0210620 | − | 0.0786045i | ||||
\(804\) | − | 948.178i | − | 1.17933i | ||||||
\(805\) | −152.878 | − | 219.970i | −0.189910 | − | 0.273254i | ||||
\(806\) | 323.951 | 0.401925 | ||||||||
\(807\) | 173.662 | + | 46.5327i | 0.215195 | + | 0.0576613i | ||||
\(808\) | 183.554 | − | 49.1832i | 0.227171 | − | 0.0608703i | ||||
\(809\) | 366.207 | + | 211.430i | 0.452666 | + | 0.261347i | 0.708956 | − | 0.705253i | \(-0.249167\pi\) |
−0.256289 | + | 0.966600i | \(0.582500\pi\) | |||||||
\(810\) | 98.1028 | + | 91.9813i | 0.121115 | + | 0.113557i | ||||
\(811\) | 549.264 | 0.677268 | 0.338634 | − | 0.940918i | \(-0.390035\pi\) | ||||
0.338634 | + | 0.940918i | \(0.390035\pi\) | |||||||
\(812\) | 1205.63 | − | 390.677i | 1.48477 | − | 0.481129i | ||||
\(813\) | −192.425 | − | 192.425i | −0.236685 | − | 0.236685i | ||||
\(814\) | 1575.04 | − | 909.352i | 1.93494 | − | 1.11714i | ||||
\(815\) | −284.597 | − | 66.5184i | −0.349199 | − | 0.0816177i | ||||
\(816\) | 96.8449 | − | 167.740i | 0.118683 | − | 0.205564i | ||||
\(817\) | −334.737 | − | 89.6925i | −0.409715 | − | 0.109783i | ||||
\(818\) | 567.335 | + | 567.335i | 0.693564 | + | 0.693564i | ||||
\(819\) | −63.7179 | − | 98.2874i | −0.0777996 | − | 0.120009i | ||||
\(820\) | −673.911 | + | 1259.19i | −0.821843 | + | 1.53560i | ||||
\(821\) | −97.9130 | − | 169.590i | −0.119261 | − | 0.206566i | 0.800214 | − | 0.599714i | \(-0.204719\pi\) |
−0.919475 | + | 0.393149i | \(0.871386\pi\) | |||||||
\(822\) | 49.0874 | + | 183.197i | 0.0597170 | + | 0.222867i | ||||
\(823\) | −1419.82 | + | 380.440i | −1.72518 | + | 0.462260i | −0.979063 | − | 0.203559i | \(-0.934749\pi\) |
−0.746114 | + | 0.665818i | \(0.768083\pi\) | |||||||
\(824\) | 305.636 | − | 176.459i | 0.370917 | − | 0.214149i | ||||
\(825\) | 114.027 | − | 570.083i | 0.138215 | − | 0.691009i | ||||
\(826\) | −75.2663 | − | 1458.28i | −0.0911214 | − | 1.76547i | ||||
\(827\) | −645.663 | + | 645.663i | −0.780729 | + | 0.780729i | −0.979954 | − | 0.199225i | \(-0.936158\pi\) |
0.199225 | + | 0.979954i | \(0.436158\pi\) | |||||||
\(828\) | −29.3019 | + | 109.356i | −0.0353888 | + | 0.132073i | ||||
\(829\) | 946.305 | + | 546.349i | 1.14150 | + | 0.659046i | 0.946802 | − | 0.321816i | \(-0.104293\pi\) |
0.194700 | + | 0.980863i | \(0.437627\pi\) | |||||||
\(830\) | −1789.51 | + | 1111.47i | −2.15603 | + | 1.33912i | ||||
\(831\) | −181.093 | − | 313.662i | −0.217921 | − | 0.377451i | ||||
\(832\) | −353.044 | + | 353.044i | −0.424332 | + | 0.424332i | ||||
\(833\) | 448.578 | − | 171.378i | 0.538510 | − | 0.205736i | ||||
\(834\) | − | 438.153i | − | 0.525364i | ||||||
\(835\) | −479.835 | − | 449.894i | −0.574653 | − | 0.538796i | ||||
\(836\) | −175.050 | + | 303.196i | −0.209390 | + | 0.362675i | ||||
\(837\) | −26.1367 | − | 97.5435i | −0.0312266 | − | 0.116539i | ||||
\(838\) | 399.001 | − | 1489.09i | 0.476134 | − | 1.77696i | ||||
\(839\) | 682.503i | 0.813472i | 0.913546 | + | 0.406736i | \(0.133333\pi\) | ||||
−0.913546 | + | 0.406736i | \(0.866667\pi\) | |||||||
\(840\) | 158.645 | − | 57.1131i | 0.188864 | − | 0.0679917i | ||||
\(841\) | −507.268 | −0.603173 | ||||||||
\(842\) | −1357.38 | − | 363.710i | −1.61210 | − | 0.431960i | ||||
\(843\) | −761.077 | + | 203.930i | −0.902820 | + | 0.241910i | ||||
\(844\) | −109.131 | − | 63.0065i | −0.129302 | − | 0.0746523i | ||||
\(845\) | 689.083 | − | 22.1913i | 0.815483 | − | 0.0262619i | ||||
\(846\) | −569.629 | −0.673320 | ||||||||
\(847\) | 86.5744 | − | 405.719i | 0.102213 | − | 0.479007i | ||||
\(848\) | 324.803 | + | 324.803i | 0.383022 | + | 0.383022i | ||||
\(849\) | −153.993 | + | 88.9077i | −0.181381 | + | 0.104720i | ||||
\(850\) | 47.1087 | + | 730.650i | 0.0554220 | + | 0.859588i | ||||
\(851\) | −173.461 | + | 300.443i | −0.203832 | + | 0.353047i | ||||
\(852\) | 1002.11 | + | 268.515i | 1.17619 | + | 0.315158i | ||||
\(853\) | 201.182 | + | 201.182i | 0.235852 | + | 0.235852i | 0.815130 | − | 0.579278i | \(-0.196665\pi\) |
−0.579278 | + | 0.815130i | \(0.696665\pi\) | |||||||
\(854\) | 750.526 | − | 1470.11i | 0.878836 | − | 1.72144i | ||||
\(855\) | −69.9399 | − | 37.4315i | −0.0818011 | − | 0.0437795i | ||||
\(856\) | 84.4059 | + | 146.195i | 0.0986050 | + | 0.170789i | ||||
\(857\) | −337.813 | − | 1260.74i | −0.394181 | − | 1.47110i | −0.823171 | − | 0.567794i | \(-0.807797\pi\) |
0.428990 | − | 0.903309i | \(-0.358870\pi\) | |||||||
\(858\) | 374.427 | − | 100.327i | 0.436395 | − | 0.116932i | ||||
\(859\) | 1064.26 | − | 614.453i | 1.23896 | − | 0.715313i | 0.270076 | − | 0.962839i | \(-0.412951\pi\) |
0.968881 | + | 0.247526i | \(0.0796177\pi\) | |||||||
\(860\) | −1546.21 | + | 468.139i | −1.79791 | + | 0.544347i | ||||
\(861\) | −625.559 | − | 319.363i | −0.726549 | − | 0.370921i | ||||
\(862\) | −572.987 | + | 572.987i | −0.664718 | + | 0.664718i | ||||
\(863\) | −259.341 | + | 967.875i | −0.300511 | + | 1.12152i | 0.636229 | + | 0.771500i | \(0.280493\pi\) |
−0.936741 | + | 0.350024i | \(0.886173\pi\) | |||||||
\(864\) | 203.518 | + | 117.501i | 0.235553 | + | 0.135997i | ||||
\(865\) | 1179.01 | + | 275.568i | 1.36302 | + | 0.318575i | ||||
\(866\) | −286.740 | − | 496.649i | −0.331109 | − | 0.573498i | ||||
\(867\) | −236.326 | + | 236.326i | −0.272579 | + | 0.272579i | ||||
\(868\) | −656.012 | − | 139.983i | −0.755775 | − | 0.161271i | ||||
\(869\) | 1798.46i | 2.06957i | ||||||||
\(870\) | −949.810 | + | 30.5878i | −1.09174 | + | 0.0351584i | ||||
\(871\) | 309.637 | − | 536.307i | 0.355496 | − | 0.615737i | ||||
\(872\) | 15.5089 | + | 57.8801i | 0.0177855 | + | 0.0663762i | ||||
\(873\) | −44.9208 | + | 167.647i | −0.0514557 | + | 0.192035i | ||||
\(874\) | − | 120.959i | − | 0.138397i | ||||||
\(875\) | 520.615 | − | 703.267i | 0.594989 | − | 0.803734i | ||||
\(876\) | −41.5656 | −0.0474494 | ||||||||
\(877\) | −330.906 | − | 88.6659i | −0.377315 | − | 0.101101i | 0.0651767 | − | 0.997874i | \(-0.479239\pi\) |
−0.442492 | + | 0.896772i | \(0.645906\pi\) | |||||||
\(878\) | 1354.37 | − | 362.902i | 1.54256 | − | 0.413328i | ||||
\(879\) | −217.108 | − | 125.347i | −0.246994 | − | 0.142602i | ||||
\(880\) | −24.6565 | − | 765.631i | −0.0280187 | − | 0.870035i | ||||
\(881\) | 291.629 | 0.331021 | 0.165510 | − | 0.986208i | \(-0.447073\pi\) | ||||
0.165510 | + | 0.986208i | \(0.447073\pi\) | |||||||
\(882\) | 156.780 | + | 410.370i | 0.177756 | + | 0.465272i | ||||
\(883\) | 993.613 | + | 993.613i | 1.12527 | + | 1.12527i | 0.990936 | + | 0.134333i | \(0.0428892\pi\) |
0.134333 | + | 0.990936i | \(0.457111\pi\) | |||||||
\(884\) | −233.417 | + | 134.763i | −0.264046 | + | 0.152447i | ||||
\(885\) | −137.585 | + | 588.652i | −0.155463 | + | 0.665144i | ||||
\(886\) | 459.543 | − | 795.952i | 0.518672 | − | 0.898366i | ||||
\(887\) | −88.2058 | − | 23.6347i | −0.0994428 | − | 0.0266456i | 0.208755 | − | 0.977968i | \(-0.433059\pi\) |
−0.308197 | + | 0.951322i | \(0.599726\pi\) | |||||||
\(888\) | −154.408 | − | 154.408i | −0.173883 | − | 0.173883i | ||||
\(889\) | −208.389 | + | 10.7556i | −0.234409 | + | 0.0120985i | ||||
\(890\) | −102.815 | − | 339.584i | −0.115522 | − | 0.381555i | ||||
\(891\) | −60.4182 | − | 104.647i | −0.0678094 | − | 0.117449i | ||||
\(892\) | −106.443 | − | 397.251i | −0.119331 | − | 0.445349i | ||||
\(893\) | 324.563 | − | 86.9663i | 0.363452 | − | 0.0973867i | ||||
\(894\) | −146.271 | + | 84.4497i | −0.163614 | + | 0.0944628i | ||||
\(895\) | −623.838 | + | 1165.63i | −0.697026 | + | 1.30238i | ||||
\(896\) | 508.635 | − | 329.739i | 0.567673 | − | 0.368012i | ||||
\(897\) | −52.2850 | + | 52.2850i | −0.0582888 | + | 0.0582888i | ||||
\(898\) | −430.180 | + | 1605.45i | −0.479043 | + | 1.78781i | ||||
\(899\) | 618.004 | + | 356.805i | 0.687435 | + | 0.396891i | ||||
\(900\) | −369.038 | + | 23.7937i | −0.410042 | + | 0.0264375i | ||||
\(901\) | 197.248 | + | 341.643i | 0.218921 | + | 0.379183i | ||||
\(902\) | 1643.57 | − | 1643.57i | 1.82214 | − | 1.82214i | ||||
\(903\) | −244.913 | − | 755.804i | −0.271222 | − | 0.836992i | ||||
\(904\) | 48.7538i | 0.0539312i | ||||||||
\(905\) | 46.0312 | + | 1429.36i | 0.0508632 | + | 1.57940i | ||||
\(906\) | −403.972 | + | 699.700i | −0.445885 | + | 0.772296i | ||||
\(907\) | 13.3362 | + | 49.7713i | 0.0147036 | + | 0.0548746i | 0.972888 | − | 0.231277i | \(-0.0742905\pi\) |
−0.958184 | + | 0.286152i | \(0.907624\pi\) | |||||||
\(908\) | −525.758 | + | 1962.16i | −0.579029 | + | 2.16097i | ||||
\(909\) | − | 204.965i | − | 0.225484i | ||||||
\(910\) | 574.190 | + | 103.322i | 0.630978 | + | 0.113541i | ||||
\(911\) | 30.4579 | 0.0334334 | 0.0167167 | − | 0.999860i | \(-0.494679\pi\) | ||||
0.0167167 | + | 0.999860i | \(0.494679\pi\) | |||||||
\(912\) | −100.960 | − | 27.0523i | −0.110702 | − | 0.0296626i | ||||
\(913\) | 1828.37 | − | 489.910i | 2.00260 | − | 0.536594i | ||||
\(914\) | 1329.08 | + | 767.347i | 1.45414 | + | 0.839548i | ||||
\(915\) | −467.387 | + | 498.493i | −0.510806 | + | 0.544801i | ||||
\(916\) | −1853.63 | −2.02361 | ||||||||
\(917\) | 182.920 | − | 857.228i | 0.199476 | − | 0.934818i | ||||
\(918\) | 107.606 | + | 107.606i | 0.117218 | + | 0.117218i | ||||
\(919\) | 408.961 | − | 236.114i | 0.445007 | − | 0.256925i | −0.260712 | − | 0.965417i | \(-0.583957\pi\) |
0.705719 | + | 0.708492i | \(0.250624\pi\) | |||||||
\(920\) | −56.1588 | − | 90.4179i | −0.0610422 | − | 0.0982803i | ||||
\(921\) | −35.7625 | + | 61.9424i | −0.0388300 | + | 0.0672556i | ||||
\(922\) | −404.879 | − | 108.487i | −0.439131 | − | 0.117665i | ||||
\(923\) | 479.127 | + | 479.127i | 0.519097 | + | 0.519097i | ||||
\(924\) | −801.579 | + | 41.3719i | −0.867510 | + | 0.0447748i | ||||
\(925\) | −1111.18 | − | 222.257i | −1.20128 | − | 0.240278i | ||||
\(926\) | −930.991 | − | 1612.52i | −1.00539 | − | 1.74139i | ||||
\(927\) | −98.5211 | − | 367.686i | −0.106280 | − | 0.396641i | ||||
\(928\) | −1604.07 | + | 429.808i | −1.72852 | + | 0.463155i | ||||
\(929\) | 747.921 | − | 431.812i | 0.805081 | − | 0.464814i | −0.0401635 | − | 0.999193i | \(-0.512788\pi\) |
0.845245 | + | 0.534379i | \(0.179455\pi\) | |||||||
\(930\) | 443.458 | + | 237.337i | 0.476837 | + | 0.255201i | ||||
\(931\) | −151.982 | − | 209.885i | −0.163246 | − | 0.225440i | ||||
\(932\) | 84.6681 | − | 84.6681i | 0.0908456 | − | 0.0908456i | ||||
\(933\) | 180.292 | − | 672.857i | 0.193239 | − | 0.721176i | ||||
\(934\) | −1148.52 | − | 663.098i | −1.22968 | − | 0.709955i | ||||
\(935\) | 149.732 | − | 640.623i | 0.160141 | − | 0.685158i | ||||
\(936\) | −23.2711 | − | 40.3067i | −0.0248623 | − | 0.0430628i | ||||
\(937\) | −543.193 | + | 543.193i | −0.579715 | + | 0.579715i | −0.934825 | − | 0.355110i | \(-0.884443\pi\) |
0.355110 | + | 0.934825i | \(0.384443\pi\) | |||||||
\(938\) | −1555.44 | + | 1724.74i | −1.65825 | + | 1.83874i | ||||
\(939\) | 497.058i | 0.529349i | ||||||||
\(940\) | 1071.40 | − | 1142.70i | 1.13979 | − | 1.21564i | ||||
\(941\) | 215.568 | − | 373.375i | 0.229084 | − | 0.396785i | −0.728453 | − | 0.685096i | \(-0.759760\pi\) |
0.957537 | + | 0.288311i | \(0.0930937\pi\) | |||||||
\(942\) | −89.1153 | − | 332.583i | −0.0946023 | − | 0.353060i | ||||
\(943\) | −114.754 | + | 428.268i | −0.121690 | + | 0.454155i | ||||
\(944\) | 796.521i | 0.843772i | ||||||||
\(945\) | −15.2153 | − | 181.228i | −0.0161008 | − | 0.191775i | ||||
\(946\) | 2629.24 | 2.77933 | ||||||||
\(947\) | −671.694 | − | 179.980i | −0.709287 | − | 0.190053i | −0.113900 | − | 0.993492i | \(-0.536334\pi\) |
−0.595387 | + | 0.803439i | \(0.703001\pi\) | |||||||
\(948\) | 1104.99 | − | 296.082i | 1.16560 | − | 0.312323i | ||||
\(949\) | −23.5103 | − | 13.5737i | −0.0247738 | − | 0.0143031i | ||||
\(950\) | 374.270 | − | 126.604i | 0.393969 | − | 0.133267i | ||||
\(951\) | 602.363 | 0.633399 | ||||||||
\(952\) | 181.512 | − | 58.8177i | 0.190664 | − | 0.0617833i | ||||
\(953\) | −936.706 | − | 936.706i | −0.982902 | − | 0.982902i | 0.0169540 | − | 0.999856i | \(-0.494603\pi\) |
−0.999856 | + | 0.0169540i | \(0.994603\pi\) | |||||||
\(954\) | −312.544 | + | 180.447i | −0.327614 | + | 0.189148i | ||||
\(955\) | −323.685 | + | 201.041i | −0.338937 | + | 0.210515i | ||||
\(956\) | 124.914 | − | 216.357i | 0.130663 | − | 0.226315i | ||||
\(957\) | 824.799 | + | 221.004i | 0.861858 | + | 0.230934i | ||||
\(958\) | −464.828 | − | 464.828i | −0.485207 | − | 0.485207i | ||||
\(959\) | 116.624 | − | 228.441i | 0.121611 | − | 0.238207i | ||||
\(960\) | −741.935 | + | 224.633i | −0.772849 | + | 0.233992i | ||||
\(961\) | 291.651 | + | 505.154i | 0.303487 | + | 0.525654i | ||||
\(962\) | −195.554 | − | 729.817i | −0.203279 | − | 0.758646i | ||||
\(963\) | 175.876 | − | 47.1257i | 0.182633 | − | 0.0489364i | ||||
\(964\) | 497.965 | − | 287.500i | 0.516561 | − | 0.298237i | ||||
\(965\) | −354.874 | − | 1172.11i | −0.367745 | − | 1.21462i | ||||
\(966\) | 232.694 | − | 150.851i | 0.240884 | − | 0.156160i | ||||
\(967\) | −580.505 | + | 580.505i | −0.600315 | + | 0.600315i | −0.940396 | − | 0.340081i | \(-0.889545\pi\) |
0.340081 | + | 0.940396i | \(0.389545\pi\) | |||||||
\(968\) | 42.6633 | − | 159.221i | 0.0440736 | − | 0.164485i | ||||
\(969\) | −77.7402 | − | 44.8833i | −0.0802273 | − | 0.0463192i | ||||
\(970\) | −456.101 | − | 734.341i | −0.470207 | − | 0.757053i | ||||
\(971\) | 460.985 | + | 798.449i | 0.474753 | + | 0.822296i | 0.999582 | − | 0.0289117i | \(-0.00920417\pi\) |
−0.524829 | + | 0.851208i | \(0.675871\pi\) | |||||||
\(972\) | −54.3499 | + | 54.3499i | −0.0559155 | + | 0.0559155i | ||||
\(973\) | −396.838 | + | 440.031i | −0.407850 | + | 0.452242i | ||||
\(974\) | − | 1156.80i | − | 1.18768i | ||||||
\(975\) | −216.505 | − | 107.055i | −0.222056 | − | 0.109800i | ||||
\(976\) | −450.186 | + | 779.745i | −0.461256 | + | 0.798919i | ||||
\(977\) | 23.7849 | + | 88.7663i | 0.0243448 | + | 0.0908560i | 0.977029 | − | 0.213105i | \(-0.0683575\pi\) |
−0.952685 | + | 0.303961i | \(0.901691\pi\) | |||||||
\(978\) | 78.3088 | − | 292.252i | 0.0800704 | − | 0.298827i | ||||
\(979\) | 318.812i | 0.325651i | ||||||||
\(980\) | −1118.11 | − | 457.345i | −1.14093 | − | 0.466679i | ||||
\(981\) | 64.6316 | 0.0658834 | ||||||||
\(982\) | 822.810 | + | 220.471i | 0.837892 | + | 0.224513i | ||||
\(983\) | −558.417 | + | 149.627i | −0.568074 | + | 0.152215i | −0.531413 | − | 0.847113i | \(-0.678339\pi\) |
−0.0366611 | + | 0.999328i | \(0.511672\pi\) | |||||||
\(984\) | −241.689 | − | 139.539i | −0.245619 | − | 0.141808i | ||||
\(985\) | 701.936 | + | 658.136i | 0.712625 | + | 0.668158i | ||||
\(986\) | −1075.37 | −1.09064 | ||||||||
\(987\) | 572.070 | + | 515.916i | 0.579605 | + | 0.522711i | ||||
\(988\) | 102.846 | + | 102.846i | 0.104095 | + | 0.104095i | ||||
\(989\) | −434.341 | + | 250.767i | −0.439172 | + | 0.253556i | ||||
\(990\) | 586.057 | + | 136.978i | 0.591977 | + | 0.138362i | ||||
\(991\) | −823.906 | + | 1427.05i | −0.831389 | + | 1.44001i | 0.0655482 | + | 0.997849i | \(0.479120\pi\) |
−0.896937 | + | 0.442158i | \(0.854213\pi\) | |||||||
\(992\) | 848.998 | + | 227.488i | 0.855844 | + | 0.229323i | ||||
\(993\) | 88.7146 | + | 88.7146i | 0.0893400 | + | 0.0893400i | ||||
\(994\) | −1382.36 | − | 2132.34i | −1.39070 | − | 2.14522i | ||||
\(995\) | −293.922 | + | 549.186i | −0.295399 | + | 0.551945i | ||||
\(996\) | −602.013 | − | 1042.72i | −0.604431 | − | 1.04690i | ||||
\(997\) | −466.765 | − | 1741.99i | −0.468170 | − | 1.74723i | −0.646161 | − | 0.763201i | \(-0.723627\pi\) |
0.177991 | − | 0.984032i | \(-0.443040\pi\) | |||||||
\(998\) | 1463.52 | − | 392.150i | 1.46646 | − | 0.392936i | ||||
\(999\) | −203.974 | + | 117.765i | −0.204179 | + | 0.117883i |
(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 | 105.3.v.a.88.14 | yes | 64 | |
3.2 | odd | 2 | 315.3.ca.b.298.3 | 64 | |||
5.2 | odd | 4 | inner | 105.3.v.a.67.3 | yes | 64 | |
7.2 | even | 3 | inner | 105.3.v.a.58.3 | yes | 64 | |
15.2 | even | 4 | 315.3.ca.b.172.14 | 64 | |||
21.2 | odd | 6 | 315.3.ca.b.163.14 | 64 | |||
35.2 | odd | 12 | inner | 105.3.v.a.37.14 | ✓ | 64 | |
105.2 | even | 12 | 315.3.ca.b.37.3 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.v.a.37.14 | ✓ | 64 | 35.2 | odd | 12 | inner | |
105.3.v.a.58.3 | yes | 64 | 7.2 | even | 3 | inner | |
105.3.v.a.67.3 | yes | 64 | 5.2 | odd | 4 | inner | |
105.3.v.a.88.14 | yes | 64 | 1.1 | even | 1 | trivial | |
315.3.ca.b.37.3 | 64 | 105.2 | even | 12 | |||
315.3.ca.b.163.14 | 64 | 21.2 | odd | 6 | |||
315.3.ca.b.172.14 | 64 | 15.2 | even | 4 | |||
315.3.ca.b.298.3 | 64 | 3.2 | odd | 2 |