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 | 58.3 | ||
Character | \(\chi\) | \(=\) | 105.58 |
Dual form | 105.3.v.a.67.3 |
$q$-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 \(\left(\mathbb{Z}/105\mathbb{Z}\right)^\times\).
\(n\) | \(22\) | \(31\) | \(71\) |
\(\chi(n)\) | \(e\left(\frac{3}{4}\right)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.773463 | − | 2.88660i | −0.386731 | − | 1.44330i | −0.835419 | − | 0.549613i | \(-0.814775\pi\) |
0.448688 | − | 0.893688i | \(-0.351891\pi\) | |||||||
\(3\) | 0.448288 | − | 1.67303i | 0.149429 | − | 0.557678i | ||||
\(4\) | −4.27013 | + | 2.46536i | −1.06753 | + | 0.616340i | ||||
\(5\) | 4.24741 | − | 2.63808i | 0.849483 | − | 0.527616i | ||||
\(6\) | −5.17611 | −0.862686 | ||||||||
\(7\) | −4.68804 | − | 5.19830i | −0.669719 | − | 0.742614i | ||||
\(8\) | 1.96674 | + | 1.96674i | 0.245842 | + | 0.245842i | ||||
\(9\) | −2.59808 | − | 1.50000i | −0.288675 | − | 0.166667i | ||||
\(10\) | −10.9003 | − | 10.2201i | −1.09003 | − | 1.02201i | ||||
\(11\) | 6.71313 | + | 11.6275i | 0.610285 | + | 1.05704i | 0.991192 | + | 0.132431i | \(0.0422784\pi\) |
−0.380907 | + | 0.924613i | \(0.624388\pi\) | |||||||
\(12\) | 2.21038 | + | 8.24925i | 0.184198 | + | 0.687438i | ||||
\(13\) | −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 | ||||
\(17\) | 9.46609 | + | 2.53643i | 0.556829 | + | 0.149202i | 0.526249 | − | 0.850330i | \(-0.323598\pi\) |
0.0305799 | + | 0.999532i | \(0.490265\pi\) | |||||||
\(18\) | −2.32039 | + | 8.65981i | −0.128910 | + | 0.481100i | ||||
\(19\) | 4.57992 | + | 2.64422i | 0.241049 | + | 0.139169i | 0.615659 | − | 0.788013i | \(-0.288890\pi\) |
−0.374610 | + | 0.927182i | \(0.622223\pi\) | |||||||
\(20\) | −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 | ||||
\(23\) | 7.39285 | − | 1.98091i | 0.321428 | − | 0.0861264i | −0.0944974 | − | 0.995525i | \(-0.530124\pi\) |
0.415925 | + | 0.909399i | \(0.363458\pi\) | |||||||
\(24\) | 4.17208 | − | 2.40875i | 0.173837 | − | 0.100365i | ||||
\(25\) | 11.0811 | − | 22.4100i | 0.443243 | − | 0.896402i | ||||
\(26\) | −8.33445 | + | 14.4357i | −0.320556 | + | 0.555219i | ||||
\(27\) | −3.67423 | + | 3.67423i | −0.136083 | + | 0.136083i | ||||
\(28\) | 32.8342 | + | 10.6397i | 1.17265 | + | 0.379990i | ||||
\(29\) | − | 36.7188i | − | 1.26616i | −0.774085 | − | 0.633082i | \(-0.781789\pi\) | ||
0.774085 | − | 0.633082i | \(-0.218211\pi\) | |||||||
\(30\) | −21.9851 | + | 13.6550i | −0.732837 | + | 0.455167i | ||||
\(31\) | −9.71723 | − | 16.8307i | −0.313459 | − | 0.542927i | 0.665650 | − | 0.746264i | \(-0.268155\pi\) |
−0.979109 | + | 0.203337i | \(0.934821\pi\) | |||||||
\(32\) | 43.6852 | + | 11.7054i | 1.36516 | + | 0.365794i | ||||
\(33\) | 22.4626 | − | 6.01883i | 0.680684 | − | 0.182389i | ||||
\(34\) | − | 29.2867i | − | 0.861373i | ||||||
\(35\) | −33.6256 | − | 9.71192i | −0.960730 | − | 0.277483i | ||||
\(36\) | 14.7922 | 0.410893 | ||||||||
\(37\) | −11.7317 | − | 43.7832i | −0.317072 | − | 1.18333i | −0.922045 | − | 0.387083i | \(-0.873483\pi\) |
0.604973 | − | 0.796246i | \(-0.293184\pi\) | |||||||
\(38\) | 4.09041 | − | 15.2656i | 0.107642 | − | 0.401727i | ||||
\(39\) | −8.36672 | + | 4.83053i | −0.214531 | + | 0.123860i | ||||
\(40\) | 13.5420 | + | 3.16514i | 0.338549 | + | 0.0791285i | ||||
\(41\) | 57.9301 | 1.41293 | 0.706464 | − | 0.707749i | \(-0.250289\pi\) | ||||
0.706464 | + | 0.707749i | \(0.250289\pi\) | |||||||
\(42\) | 24.2658 | + | 26.9070i | 0.577757 | + | 0.640643i | ||||
\(43\) | 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 | ||||
\(45\) | −14.9922 | + | 0.482811i | −0.333161 | + | 0.0107291i | ||||
\(46\) | −11.4362 | − | 19.8080i | −0.248613 | − | 0.430610i | ||||
\(47\) | 16.4446 | + | 61.3721i | 0.349885 | + | 1.30579i | 0.886800 | + | 0.462153i | \(0.152923\pi\) |
−0.536915 | + | 0.843636i | \(0.680410\pi\) | |||||||
\(48\) | 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 | ||||
\(52\) | 26.5655 | + | 7.11820i | 0.510875 | + | 0.136889i | ||||
\(53\) | 10.4187 | − | 38.8830i | 0.196578 | − | 0.733641i | −0.795274 | − | 0.606250i | \(-0.792673\pi\) |
0.991853 | − | 0.127391i | \(-0.0406602\pi\) | |||||||
\(54\) | 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 | ||||
\(58\) | −105.992 | + | 28.4006i | −1.82746 | + | 0.489666i | ||||
\(59\) | 60.4517 | − | 34.9018i | 1.02461 | − | 0.591556i | 0.109171 | − | 0.994023i | \(-0.465181\pi\) |
0.915434 | + | 0.402467i | \(0.131847\pi\) | |||||||
\(60\) | 31.1506 | + | 29.2068i | 0.519177 | + | 0.486781i | ||||
\(61\) | −39.4523 | + | 68.3334i | −0.646759 | + | 1.12022i | 0.337133 | + | 0.941457i | \(0.390543\pi\) |
−0.983892 | + | 0.178763i | \(0.942790\pi\) | |||||||
\(62\) | −41.0677 | + | 41.0677i | −0.662383 | + | 0.662383i | ||||
\(63\) | 4.38243 | + | 20.5376i | 0.0695623 | + | 0.325994i | ||||
\(64\) | − | 89.5118i | − | 1.39862i | ||||||
\(65\) | −27.1571 | − | 6.34739i | −0.417802 | − | 0.0976522i | ||||
\(66\) | −34.7479 | − | 60.1852i | −0.526484 | − | 0.911897i | ||||
\(67\) | −107.241 | − | 28.7353i | −1.60062 | − | 0.428885i | −0.655389 | − | 0.755291i | \(-0.727495\pi\) |
−0.945229 | + | 0.326407i | \(0.894162\pi\) | |||||||
\(68\) | −46.6746 | + | 12.5064i | −0.686392 | + | 0.183918i | ||||
\(69\) | − | 13.2565i | − | 0.192123i | ||||||
\(70\) | −2.02632 | + | 104.575i | −0.0289475 | + | 1.49394i | ||||
\(71\) | −121.479 | −1.71097 | −0.855486 | − | 0.517826i | \(-0.826741\pi\) | ||||
−0.855486 | + | 0.517826i | \(0.826741\pi\) | |||||||
\(72\) | −2.15963 | − | 8.05985i | −0.0299949 | − | 0.111942i | ||||
\(73\) | −1.25968 | + | 4.70119i | −0.0172559 | + | 0.0643998i | −0.974017 | − | 0.226475i | \(-0.927280\pi\) |
0.956761 | + | 0.290875i | \(0.0939464\pi\) | |||||||
\(74\) | −117.311 | + | 67.7293i | −1.58528 | + | 0.915261i | ||||
\(75\) | −32.5252 | − | 28.5851i | −0.433670 | − | 0.381135i | ||||
\(76\) | −26.0758 | −0.343103 | ||||||||
\(77\) | 28.9718 | − | 89.4070i | 0.376257 | − | 1.16113i | ||||
\(78\) | 20.4152 | + | 20.4152i | 0.261733 | + | 0.261733i | ||||
\(79\) | 116.005 | + | 66.9753i | 1.46841 | + | 0.847788i | 0.999374 | − | 0.0353889i | \(-0.0112670\pi\) |
0.469039 | + | 0.883177i | \(0.344600\pi\) | |||||||
\(80\) | 1.83643 | + | 57.0249i | 0.0229554 | + | 0.712811i | ||||
\(81\) | 4.50000 | + | 7.79423i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | −44.8068 | − | 167.221i | −0.546424 | − | 2.03928i | ||||
\(83\) | 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 | ||||
\(87\) | −61.4317 | − | 16.4606i | −0.706112 | − | 0.189202i | ||||
\(88\) | −9.66526 | + | 36.0712i | −0.109832 | + | 0.409900i | ||||
\(89\) | 20.5641 | + | 11.8727i | 0.231058 | + | 0.133401i | 0.611060 | − | 0.791584i | \(-0.290743\pi\) |
−0.380002 | + | 0.924986i | \(0.624077\pi\) | |||||||
\(90\) | 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 | ||||
\(93\) | −32.5145 | + | 8.71223i | −0.349618 | + | 0.0936799i | ||||
\(94\) | 164.438 | − | 94.9381i | 1.74934 | − | 1.00998i | ||||
\(95\) | 26.4285 | − | 0.851106i | 0.278195 | − | 0.00895901i | ||||
\(96\) | 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 | \(0.346391\pi\) | |||||||
\(98\) | 144.594 | − | 23.1364i | 1.47545 | − | 0.236086i | ||||
\(99\) | − | 40.2788i | − | 0.406857i | ||||||
\(100\) | 7.93124 | + | 123.013i | 0.0793124 | + | 1.23013i | ||||
\(101\) | 34.1609 | + | 59.1683i | 0.338226 | + | 0.585825i | 0.984099 | − | 0.177620i | \(-0.0568397\pi\) |
−0.645873 | + | 0.763445i | \(0.723506\pi\) | |||||||
\(102\) | −48.9976 | − | 13.1289i | −0.480368 | − | 0.128714i | ||||
\(103\) | −122.562 | + | 32.8404i | −1.18992 | + | 0.318839i | −0.798855 | − | 0.601524i | \(-0.794561\pi\) |
−0.391067 | + | 0.920362i | \(0.627894\pi\) | |||||||
\(104\) | − | 15.5141i | − | 0.149174i | ||||||
\(105\) | −31.3223 | + | 51.9029i | −0.298307 | + | 0.494314i | ||||
\(106\) | −120.298 | −1.13489 | ||||||||
\(107\) | −15.7086 | − | 58.6252i | −0.146809 | − | 0.547899i | −0.999668 | − | 0.0257581i | \(-0.991800\pi\) |
0.852859 | − | 0.522141i | \(-0.174867\pi\) | |||||||
\(108\) | 6.63114 | − | 24.7478i | 0.0613995 | − | 0.229146i | ||||
\(109\) | −18.6575 | + | 10.7719i | −0.171170 | + | 0.0988251i | −0.583137 | − | 0.812374i | \(-0.698175\pi\) |
0.411967 | + | 0.911199i | \(0.364842\pi\) | |||||||
\(110\) | 45.6594 | − | 195.352i | 0.415085 | − | 1.77593i | ||||
\(111\) | −78.5098 | −0.707296 | ||||||||
\(112\) | 78.1175 | − | 16.6691i | 0.697478 | − | 0.148831i | ||||
\(113\) | 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 | ||||
\(115\) | 26.1747 | − | 27.9167i | 0.227606 | − | 0.242754i | ||||
\(116\) | 90.5250 | + | 156.794i | 0.780388 | + | 1.35167i | ||||
\(117\) | 4.33093 | + | 16.1633i | 0.0370165 | + | 0.138148i | ||||
\(118\) | −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 | ||||
\(122\) | 227.766 | + | 61.0298i | 1.86694 | + | 0.500244i | ||||
\(123\) | 25.9693 | − | 96.9189i | 0.211133 | − | 0.787959i | ||||
\(124\) | 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 | \(0.287443\pi\) | |||||||
\(128\) | −83.6445 | + | 22.4125i | −0.653472 | + | 0.175097i | ||||
\(129\) | 98.2932 | − | 56.7496i | 0.761963 | − | 0.439920i | ||||
\(130\) | 2.68264 | + | 83.3014i | 0.0206357 | + | 0.640780i | ||||
\(131\) | −62.6091 | + | 108.442i | −0.477932 | + | 0.827803i | −0.999680 | − | 0.0252971i | \(-0.991947\pi\) |
0.521748 | + | 0.853100i | \(0.325280\pi\) | |||||||
\(132\) | −81.0795 | + | 81.0795i | −0.614239 | + | 0.614239i | ||||
\(133\) | −7.72540 | − | 36.2040i | −0.0580857 | − | 0.272211i | ||||
\(134\) | 331.789i | 2.47604i | ||||||||
\(135\) | −5.91307 | + | 25.2989i | −0.0438005 | + | 0.187399i | ||||
\(136\) | 13.6288 | + | 23.6058i | 0.100212 | + | 0.173572i | ||||
\(137\) | 35.3927 | + | 9.48345i | 0.258341 | + | 0.0692222i | 0.385665 | − | 0.922639i | \(-0.373972\pi\) |
−0.127324 | + | 0.991861i | \(0.540639\pi\) | |||||||
\(138\) | −38.2662 | + | 10.2534i | −0.277291 | + | 0.0743000i | ||||
\(139\) | 84.6491i | 0.608986i | 0.952515 | + | 0.304493i | \(0.0984870\pi\) | ||||
−0.952515 | + | 0.304493i | \(0.901513\pi\) | |||||||
\(140\) | 167.529 | − | 41.4280i | 1.19663 | − | 0.295914i | ||||
\(141\) | 110.049 | 0.780493 | ||||||||
\(142\) | 93.9595 | + | 350.662i | 0.661687 | + | 2.46945i | ||||
\(143\) | 19.3828 | − | 72.3374i | 0.135544 | − | 0.505856i | ||||
\(144\) | 29.6464 | − | 17.1163i | 0.205877 | − | 0.118863i | ||||
\(145\) | −96.8671 | − | 155.960i | −0.668049 | − | 1.07559i | ||||
\(146\) | 14.5448 | 0.0996217 | ||||||||
\(147\) | 79.2815 | + | 30.2892i | 0.539330 | + | 0.206049i | ||||
\(148\) | 158.037 | + | 158.037i | 1.06782 | + | 1.06782i | ||||
\(149\) | −28.2589 | − | 16.3153i | −0.189657 | − | 0.109499i | 0.402165 | − | 0.915567i | \(-0.368258\pi\) |
−0.591822 | + | 0.806069i | \(0.701591\pi\) | |||||||
\(150\) | −57.3569 | + | 115.997i | −0.382379 | + | 0.773313i | ||||
\(151\) | 78.0454 | + | 135.179i | 0.516857 | + | 0.895223i | 0.999808 | + | 0.0195756i | \(0.00623149\pi\) |
−0.482951 | + | 0.875647i | \(0.660435\pi\) | |||||||
\(152\) | 3.80702 | + | 14.2080i | 0.0250462 | + | 0.0934737i | ||||
\(153\) | −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 | ||||
\(157\) | −64.2534 | − | 17.2166i | −0.409257 | − | 0.109660i | 0.0483159 | − | 0.998832i | \(-0.484615\pi\) |
−0.457573 | + | 0.889172i | \(0.651281\pi\) | |||||||
\(158\) | 103.606 | − | 386.662i | 0.655733 | − | 2.44723i | ||||
\(159\) | −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 | ||||
\(163\) | 56.4617 | − | 15.1289i | 0.346391 | − | 0.0928152i | −0.0814289 | − | 0.996679i | \(-0.525948\pi\) |
0.427820 | + | 0.903864i | \(0.359282\pi\) | |||||||
\(164\) | −247.369 | + | 142.818i | −1.50835 | + | 0.870844i | ||||
\(165\) | 79.5298 | − | 84.8226i | 0.481999 | − | 0.514076i | ||||
\(166\) | 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 | \(0.378863\pi\) | |||||||
\(168\) | −32.0803 | − | 10.3954i | −0.190954 | − | 0.0618775i | ||||
\(169\) | − | 137.888i | − | 0.815905i | ||||||
\(170\) | −77.2606 | − | 124.393i | −0.454474 | − | 0.731722i | ||||
\(171\) | −7.93266 | − | 13.7398i | −0.0463898 | − | 0.0803495i | ||||
\(172\) | −312.095 | − | 83.6255i | −1.81450 | − | 0.486195i | ||||
\(173\) | −233.906 | + | 62.6748i | −1.35206 | + | 0.362282i | −0.860893 | − | 0.508786i | \(-0.830094\pi\) |
−0.491162 | + | 0.871068i | \(0.663428\pi\) | |||||||
\(174\) | 190.061i | 1.09230i | ||||||||
\(175\) | −168.443 | + | 47.4564i | −0.962529 | + | 0.271179i | ||||
\(176\) | −153.206 | −0.870486 | ||||||||
\(177\) | −31.2921 | − | 116.784i | −0.176792 | − | 0.659795i | ||||
\(178\) | 18.3662 | − | 68.5435i | 0.103181 | − | 0.385076i | ||||
\(179\) | −228.989 | + | 132.207i | −1.27927 | + | 0.738585i | −0.976713 | − | 0.214548i | \(-0.931172\pi\) |
−0.302553 | + | 0.953133i | \(0.597839\pi\) | |||||||
\(180\) | 62.8284 | − | 39.0229i | 0.349047 | − | 0.216794i | ||||
\(181\) | 286.020 | 1.58022 | 0.790110 | − | 0.612965i | \(-0.210023\pi\) | ||||
0.790110 | + | 0.612965i | \(0.210023\pi\) | |||||||
\(182\) | 114.113 | − | 24.3501i | 0.626996 | − | 0.133792i | ||||
\(183\) | 96.6381 | + | 96.6381i | 0.528077 | + | 0.528077i | ||||
\(184\) | 18.4357 | + | 10.6439i | 0.100194 | + | 0.0578471i | ||||
\(185\) | −165.333 | − | 155.016i | −0.893690 | − | 0.837925i | ||||
\(186\) | 50.2975 | + | 87.1178i | 0.270417 | + | 0.468375i | ||||
\(187\) | 34.0548 | + | 127.094i | 0.182111 | + | 0.679649i | ||||
\(188\) | −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 | −0.748869 | − | 0.662718i | \(-0.769403\pi\) |
0.948365 | + | 0.317181i | \(0.102736\pi\) | |||||||
\(192\) | −149.756 | − | 40.1271i | −0.779980 | − | 0.208995i | ||||
\(193\) | 63.3927 | − | 236.585i | 0.328459 | − | 1.22583i | −0.582329 | − | 0.812953i | \(-0.697858\pi\) |
0.910788 | − | 0.412874i | \(-0.135475\pi\) | |||||||
\(194\) | 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 | \(0.0875684\pi\) | |||||||
\(198\) | −116.269 | + | 31.1542i | −0.587217 | + | 0.157344i | ||||
\(199\) | −107.888 | + | 62.2892i | −0.542151 | + | 0.313011i | −0.745950 | − | 0.666002i | \(-0.768004\pi\) |
0.203799 | + | 0.979013i | \(0.434671\pi\) | |||||||
\(200\) | 65.8683 | − | 22.2811i | 0.329341 | − | 0.111406i | ||||
\(201\) | −96.1501 | + | 166.537i | −0.478359 | + | 0.828541i | ||||
\(202\) | 144.373 | − | 144.373i | 0.714720 | − | 0.714720i | ||||
\(203\) | −190.875 | + | 172.139i | −0.940272 | + | 0.847975i | ||||
\(204\) | 83.6947i | 0.410268i | ||||||||
\(205\) | 246.053 | − | 152.824i | 1.20026 | − | 0.745484i | ||||
\(206\) | 189.594 | + | 328.387i | 0.920360 | + | 1.59411i | ||||
\(207\) | −22.1785 | − | 5.94272i | −0.107143 | − | 0.0287088i | ||||
\(208\) | 61.4790 | − | 16.4733i | 0.295572 | − | 0.0791984i | ||||
\(209\) | 71.0040i | 0.339732i | ||||||||
\(210\) | 174.050 | + | 50.2700i | 0.828808 | + | 0.239381i | ||||
\(211\) | −25.5567 | −0.121122 | −0.0605610 | − | 0.998164i | \(-0.519289\pi\) | ||||
−0.0605610 | + | 0.998164i | \(0.519289\pi\) | |||||||
\(212\) | 51.3715 | + | 191.721i | 0.242318 | + | 0.904344i | ||||
\(213\) | −54.4576 | + | 203.238i | −0.255669 | + | 0.954171i | ||||
\(214\) | −157.078 | + | 90.6889i | −0.734008 | + | 0.423780i | ||||
\(215\) | 319.045 | + | 74.5699i | 1.48393 | + | 0.346837i | ||||
\(216\) | −14.4525 | −0.0669098 | ||||||||
\(217\) | −41.9365 | + | 129.416i | −0.193256 | + | 0.596388i | ||||
\(218\) | 45.5252 | + | 45.5252i | 0.208831 | + | 0.208831i | ||||
\(219\) | 7.30054 | + | 4.21497i | 0.0333358 | + | 0.0192464i | ||||
\(220\) | −330.834 | + | 10.6542i | −1.50379 | + | 0.0484283i | ||||
\(221\) | −27.3313 | − | 47.3393i | −0.123671 | − | 0.214205i | ||||
\(222\) | 60.7244 | + | 226.627i | 0.273533 | + | 1.02084i | ||||
\(223\) | −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 | ||||
\(227\) | −397.945 | − | 106.629i | −1.75306 | − | 0.469732i | −0.767788 | − | 0.640704i | \(-0.778642\pi\) |
−0.985276 | + | 0.170972i | \(0.945309\pi\) | |||||||
\(228\) | −11.6895 | + | 43.6257i | −0.0512696 | + | 0.191341i | ||||
\(229\) | 325.569 | + | 187.967i | 1.42170 | + | 0.820818i | 0.996444 | − | 0.0842553i | \(-0.0268511\pi\) |
0.425255 | + | 0.905074i | \(0.360184\pi\) | |||||||
\(230\) | −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 | ||||
\(233\) | −23.4568 | + | 6.28523i | −0.100673 | + | 0.0269752i | −0.308804 | − | 0.951126i | \(-0.599929\pi\) |
0.208131 | + | 0.978101i | \(0.433262\pi\) | |||||||
\(234\) | 43.3071 | − | 25.0034i | 0.185073 | − | 0.106852i | ||||
\(235\) | 231.752 | + | 217.291i | 0.986177 | + | 0.924641i | ||||
\(236\) | −172.091 | + | 298.070i | −0.729199 | + | 1.26301i | ||||
\(237\) | 164.055 | − | 164.055i | 0.692216 | − | 0.692216i | ||||
\(238\) | −152.241 | + | 137.297i | −0.639668 | + | 0.576878i | ||||
\(239\) | − | 50.6675i | − | 0.211998i | −0.994366 | − | 0.105999i | \(-0.966196\pi\) | ||
0.994366 | − | 0.105999i | \(-0.0338040\pi\) | |||||||
\(240\) | 96.2277 | + | 22.4911i | 0.400949 | + | 0.0937131i | ||||
\(241\) | 58.3080 | + | 100.992i | 0.241942 | + | 0.419055i | 0.961267 | − | 0.275618i | \(-0.0888824\pi\) |
−0.719326 | + | 0.694673i | \(0.755549\pi\) | |||||||
\(242\) | 171.074 | + | 45.8390i | 0.706916 | + | 0.189417i | ||||
\(243\) | 15.0573 | − | 4.03459i | 0.0619642 | − | 0.0166032i | ||||
\(244\) | − | 389.057i | − | 1.59449i | ||||||
\(245\) | 107.152 | + | 220.326i | 0.437357 | + | 0.899288i | ||||
\(246\) | −299.853 | −1.21891 | ||||||||
\(247\) | −7.63463 | − | 28.4928i | −0.0309094 | − | 0.115356i | ||||
\(248\) | 13.9904 | − | 52.2129i | 0.0564130 | − | 0.210536i | ||||
\(249\) | 211.474 | − | 122.094i | 0.849292 | − | 0.490339i | ||||
\(250\) | −349.821 | + | 131.026i | −1.39928 | + | 0.524105i | ||||
\(251\) | 320.629 | 1.27741 | 0.638704 | − | 0.769452i | \(-0.279471\pi\) | ||||
0.638704 | + | 0.769452i | \(0.279471\pi\) | |||||||
\(252\) | −69.3462 | − | 76.8941i | −0.275183 | − | 0.305135i | ||||
\(253\) | 72.6621 | + | 72.6621i | 0.287202 | + | 0.287202i | ||||
\(254\) | 77.1488 | + | 44.5419i | 0.303736 | + | 0.175362i | ||||
\(255\) | −2.73177 | − | 84.8267i | −0.0107128 | − | 0.332654i | ||||
\(256\) | −49.6319 | − | 85.9650i | −0.193875 | − | 0.335801i | ||||
\(257\) | 51.4131 | + | 191.876i | 0.200051 | + | 0.746600i | 0.990901 | + | 0.134591i | \(0.0429719\pi\) |
−0.790850 | + | 0.612009i | \(0.790361\pi\) | |||||||
\(258\) | −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 | ||||
\(262\) | 361.455 | + | 96.8516i | 1.37960 | + | 0.369663i | ||||
\(263\) | 4.10646 | − | 15.3255i | 0.0156139 | − | 0.0582720i | −0.957679 | − | 0.287837i | \(-0.907064\pi\) |
0.973293 | + | 0.229565i | \(0.0737304\pi\) | |||||||
\(264\) | 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 | ||||
\(268\) | 528.778 | − | 141.686i | 1.97305 | − | 0.528677i | ||||
\(269\) | 89.8942 | − | 51.9004i | 0.334179 | − | 0.192938i | −0.323516 | − | 0.946223i | \(-0.604865\pi\) |
0.657695 | + | 0.753284i | \(0.271532\pi\) | |||||||
\(270\) | 77.6015 | − | 2.49909i | 0.287413 | − | 0.00925587i | ||||
\(271\) | 78.5571 | − | 136.065i | 0.289878 | − | 0.502084i | −0.683902 | − | 0.729574i | \(-0.739718\pi\) |
0.973781 | + | 0.227490i | \(0.0730518\pi\) | |||||||
\(272\) | −79.0736 | + | 79.0736i | −0.290712 | + | 0.290712i | ||||
\(273\) | 64.3340 | + | 20.8470i | 0.235656 | + | 0.0763627i | ||||
\(274\) | − | 109.500i | − | 0.399634i | ||||||
\(275\) | 334.961 | − | 21.5966i | 1.21804 | − | 0.0785332i | ||||
\(276\) | 32.6820 | + | 56.6069i | 0.118413 | + | 0.205097i | ||||
\(277\) | −201.983 | − | 54.1211i | −0.729179 | − | 0.195383i | −0.124916 | − | 0.992167i | \(-0.539866\pi\) |
−0.604264 | + | 0.796784i | \(0.706533\pi\) | |||||||
\(278\) | 244.348 | − | 65.4729i | 0.878950 | − | 0.235514i | ||||
\(279\) | 58.3034i | 0.208973i | ||||||||
\(280\) | −47.0319 | − | 85.2335i | −0.167971 | − | 0.304405i | ||||
\(281\) | 454.909 | 1.61889 | 0.809446 | − | 0.587194i | \(-0.199768\pi\) | ||||
0.809446 | + | 0.587194i | \(0.199768\pi\) | |||||||
\(282\) | −85.1192 | − | 317.669i | −0.301841 | − | 1.12649i | ||||
\(283\) | −26.5708 | + | 99.1636i | −0.0938898 | + | 0.350401i | −0.996849 | − | 0.0793253i | \(-0.974723\pi\) |
0.902959 | + | 0.429727i | \(0.141390\pi\) | |||||||
\(284\) | 518.731 | − | 299.489i | 1.82652 | − | 1.05454i | ||||
\(285\) | 10.4236 | − | 44.5973i | 0.0365742 | − | 0.156482i | ||||
\(286\) | −223.801 | −0.782522 | ||||||||
\(287\) | −271.578 | − | 301.138i | −0.946266 | − | 1.04926i | ||||
\(288\) | −95.9393 | − | 95.9393i | −0.333122 | − | 0.333122i | ||||
\(289\) | −167.108 | − | 96.4798i | −0.578228 | − | 0.333840i | ||||
\(290\) | −375.271 | + | 400.246i | −1.29404 | + | 1.38016i | ||||
\(291\) | 50.1026 | + | 86.7803i | 0.172174 | + | 0.298214i | ||||
\(292\) | −6.21112 | − | 23.1802i | −0.0212710 | − | 0.0793843i | ||||
\(293\) | 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 | ||||
\(297\) | −67.3878 | − | 18.0565i | −0.226895 | − | 0.0607963i | ||||
\(298\) | −25.2385 | + | 94.1914i | −0.0846930 | + | 0.316079i | ||||
\(299\) | −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 | ||||
\(303\) | 114.304 | − | 30.6278i | 0.377242 | − | 0.101082i | ||||
\(304\) | −52.2610 | + | 30.1729i | −0.171911 | + | 0.0992529i | ||||
\(305\) | 12.6987 | + | 394.319i | 0.0416350 | + | 1.29285i | ||||
\(306\) | −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 | \(0.228576\pi\) | |||||||
\(308\) | 96.7072 | + | 453.205i | 0.313985 | + | 1.47144i | ||||
\(309\) | 219.772i | 0.711236i | ||||||||
\(310\) | −66.0917 | + | 282.772i | −0.213199 | + | 0.912167i | ||||
\(311\) | −201.089 | − | 348.297i | −0.646589 | − | 1.11992i | −0.983932 | − | 0.178543i | \(-0.942862\pi\) |
0.337343 | − | 0.941382i | \(-0.390472\pi\) | |||||||
\(312\) | −25.9555 | − | 6.95477i | −0.0831909 | − | 0.0222909i | ||||
\(313\) | −277.198 | + | 74.2751i | −0.885618 | + | 0.237301i | −0.672829 | − | 0.739798i | \(-0.734921\pi\) |
−0.212788 | + | 0.977098i | \(0.568254\pi\) | |||||||
\(314\) | 198.790i | 0.633091i | ||||||||
\(315\) | 72.7939 | + | 75.6707i | 0.231092 | + | 0.240224i | ||||
\(316\) | −660.473 | −2.09010 | ||||||||
\(317\) | 90.0106 | + | 335.924i | 0.283945 | + | 1.05970i | 0.949607 | + | 0.313444i | \(0.101483\pi\) |
−0.665662 | + | 0.746254i | \(0.731851\pi\) | |||||||
\(318\) | −53.9282 | + | 201.263i | −0.169585 | + | 0.632901i | ||||
\(319\) | 426.947 | − | 246.498i | 1.33839 | − | 0.772721i | ||||
\(320\) | −236.139 | − | 380.194i | −0.737936 | − | 1.18811i | ||||
\(321\) | −105.124 | −0.327489 | ||||||||
\(322\) | −49.3549 | + | 152.310i | −0.153276 | + | 0.473011i | ||||
\(323\) | 36.6471 | + | 36.6471i | 0.113458 | + | 0.113458i | ||||
\(324\) | −38.4312 | − | 22.1882i | −0.118615 | − | 0.0684822i | ||||
\(325\) | −132.093 | + | 44.6827i | −0.406439 | + | 0.137485i | ||||
\(326\) | −87.3421 | − | 151.281i | −0.267921 | − | 0.464052i | ||||
\(327\) | 9.65785 | + | 36.0436i | 0.0295347 | + | 0.110225i | ||||
\(328\) | 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 | −0.915535 | − | 0.402239i | \(-0.868232\pi\) |
0.806116 | + | 0.591757i | \(0.201566\pi\) | |||||||
\(332\) | −671.458 | − | 179.917i | −2.02246 | − | 0.541918i | ||||
\(333\) | −35.1950 | + | 131.349i | −0.105691 | + | 0.394443i | ||||
\(334\) | 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 | \(0.430291\pi\) | |||||||
\(338\) | −398.028 | + | 106.651i | −1.17760 | + | 0.315536i | ||||
\(339\) | 26.2928 | − | 15.1802i | 0.0775600 | − | 0.0447793i | ||||
\(340\) | −165.254 | + | 176.251i | −0.486040 | + | 0.518387i | ||||
\(341\) | 130.466 | − | 225.974i | 0.382599 | − | 0.662680i | ||||
\(342\) | −33.5256 | + | 33.5256i | −0.0980282 | + | 0.0980282i | ||||
\(343\) | 277.013 | − | 202.270i | 0.807617 | − | 0.589707i | ||||
\(344\) | 182.261i | 0.529829i | ||||||||
\(345\) | −34.9717 | − | 56.3058i | −0.101367 | − | 0.163205i | ||||
\(346\) | 361.835 | + | 626.716i | 1.04576 | + | 1.81132i | ||||
\(347\) | 278.775 | + | 74.6974i | 0.803385 | + | 0.215266i | 0.637070 | − | 0.770806i | \(-0.280146\pi\) |
0.166315 | + | 0.986073i | \(0.446813\pi\) | |||||||
\(348\) | 302.902 | − | 81.1625i | 0.870409 | − | 0.233225i | ||||
\(349\) | − | 480.492i | − | 1.37677i | −0.725347 | − | 0.688384i | \(-0.758320\pi\) | ||
0.725347 | − | 0.688384i | \(-0.241680\pi\) | |||||||
\(350\) | 267.272 | + | 449.521i | 0.763634 | + | 1.28435i | ||||
\(351\) | 28.9832 | 0.0825731 | ||||||||
\(352\) | 157.160 | + | 586.529i | 0.446477 | + | 1.66627i | ||||
\(353\) | 24.9800 | − | 93.2268i | 0.0707650 | − | 0.264098i | −0.921475 | − | 0.388438i | \(-0.873015\pi\) |
0.992240 | + | 0.124340i | \(0.0396813\pi\) | |||||||
\(354\) | −312.905 | + | 180.656i | −0.883912 | + | 0.510327i | ||||
\(355\) | −515.972 | + | 320.471i | −1.45344 | + | 0.902736i | ||||
\(356\) | −117.082 | −0.328882 | ||||||||
\(357\) | −116.203 | + | 24.7960i | −0.325498 | + | 0.0694565i | ||||
\(358\) | 558.742 | + | 558.742i | 1.56073 | + | 1.56073i | ||||
\(359\) | −280.865 | − | 162.157i | −0.782353 | − | 0.451692i | 0.0549104 | − | 0.998491i | \(-0.482513\pi\) |
−0.837264 | + | 0.546799i | \(0.815846\pi\) | |||||||
\(360\) | −30.4354 | − | 28.5362i | −0.0845427 | − | 0.0792673i | ||||
\(361\) | −166.516 | − | 288.415i | −0.461264 | − | 0.798932i | ||||
\(362\) | −221.226 | − | 825.626i | −0.611121 | − | 2.28073i | ||||
\(363\) | 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 | ||||
\(367\) | 249.220 | + | 66.7783i | 0.679074 | + | 0.181957i | 0.581839 | − | 0.813304i | \(-0.302333\pi\) |
0.0972351 | + | 0.995261i | \(0.469000\pi\) | |||||||
\(368\) | −22.6039 | + | 84.3589i | −0.0614237 | + | 0.229236i | ||||
\(369\) | −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 | ||||
\(373\) | −474.026 | + | 127.015i | −1.27085 | + | 0.340523i | −0.830356 | − | 0.557234i | \(-0.811863\pi\) |
−0.440492 | + | 0.897756i | \(0.645196\pi\) | |||||||
\(374\) | 340.531 | − | 196.605i | 0.910510 | − | 0.525683i | ||||
\(375\) | −213.558 | − | 35.6088i | −0.569488 | − | 0.0949567i | ||||
\(376\) | −88.3607 | + | 153.045i | −0.235002 | + | 0.407035i | ||||
\(377\) | −144.823 | + | 144.823i | −0.384145 | + | 0.384145i | ||||
\(378\) | −22.6839 | − | 106.305i | −0.0600104 | − | 0.281230i | ||||
\(379\) | 177.802i | 0.469134i | 0.972100 | + | 0.234567i | \(0.0753672\pi\) | ||||
−0.972100 | + | 0.234567i | \(0.924633\pi\) | |||||||
\(380\) | −110.755 | + | 68.7901i | −0.291460 | + | 0.181027i | ||||
\(381\) | 25.8158 | + | 44.7143i | 0.0677581 | + | 0.117360i | ||||
\(382\) | −219.981 | − | 58.9436i | −0.575866 | − | 0.154303i | ||||
\(383\) | 445.189 | − | 119.288i | 1.16237 | − | 0.311457i | 0.374460 | − | 0.927243i | \(-0.377828\pi\) |
0.787913 | + | 0.615786i | \(0.211162\pi\) | |||||||
\(384\) | 149.987i | 0.390592i | ||||||||
\(385\) | −112.808 | − | 456.178i | −0.293007 | − | 1.18488i | ||||
\(386\) | −731.958 | −1.89626 | ||||||||
\(387\) | −50.8803 | − | 189.888i | −0.131474 | − | 0.490667i | ||||
\(388\) | 73.8306 | − | 275.540i | 0.190285 | − | 0.710153i | ||||
\(389\) | −258.574 | + | 149.288i | −0.664714 | + | 0.383773i | −0.794071 | − | 0.607825i | \(-0.792042\pi\) |
0.129357 | + | 0.991598i | \(0.458709\pi\) | |||||||
\(390\) | 140.568 | + | 32.8548i | 0.360432 | + | 0.0842431i | ||||
\(391\) | 75.0058 | 0.191831 | ||||||||
\(392\) | −105.780 | + | 85.9367i | −0.269846 | + | 0.219226i | ||||
\(393\) | 153.360 | + | 153.360i | 0.390230 | + | 0.390230i | ||||
\(394\) | −498.053 | − | 287.551i | −1.26409 | − | 0.729825i | ||||
\(395\) | 669.406 | − | 21.5576i | 1.69470 | − | 0.0545762i | ||||
\(396\) | 99.3017 | + | 171.996i | 0.250762 | + | 0.434332i | ||||
\(397\) | −23.2619 | − | 86.8147i | −0.0585943 | − | 0.218677i | 0.930420 | − | 0.366494i | \(-0.119442\pi\) |
−0.989015 | + | 0.147817i | \(0.952775\pi\) | |||||||
\(398\) | 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 | −0.920301 | − | 0.391211i | \(-0.872056\pi\) |
0.798949 | + | 0.601398i | \(0.205390\pi\) | |||||||
\(402\) | 555.094 | + | 148.737i | 1.38083 | + | 0.369993i | ||||
\(403\) | −28.0565 | + | 104.708i | −0.0696190 | + | 0.259822i | ||||
\(404\) | −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 | ||||
\(408\) | 45.6030 | − | 12.2193i | 0.111772 | − | 0.0299492i | ||||
\(409\) | −232.510 | + | 134.240i | −0.568485 | + | 0.328215i | −0.756544 | − | 0.653943i | \(-0.773114\pi\) |
0.188059 | + | 0.982158i | \(0.439780\pi\) | |||||||
\(410\) | −631.456 | − | 592.054i | −1.54014 | − | 1.44403i | ||||
\(411\) | 31.7322 | − | 54.9618i | 0.0772074 | − | 0.133727i | ||||
\(412\) | 442.392 | − | 442.392i | 1.07377 | − | 1.07377i | ||||
\(413\) | −464.830 | − | 150.625i | −1.12550 | − | 0.364710i | ||||
\(414\) | 68.6171i | 0.165742i | ||||||||
\(415\) | 686.413 | + | 160.434i | 1.65401 | + | 0.386588i | ||||
\(416\) | −126.132 | − | 218.466i | −0.303201 | − | 0.525160i | ||||
\(417\) | 141.621 | + | 37.9471i | 0.339618 | + | 0.0910003i | ||||
\(418\) | 204.960 | − | 54.9190i | 0.490336 | − | 0.131385i | ||||
\(419\) | − | 515.863i | − | 1.23118i | −0.788068 | − | 0.615588i | \(-0.788919\pi\) | ||
0.788068 | − | 0.615588i | \(-0.211081\pi\) | |||||||
\(420\) | 5.79078 | − | 298.853i | 0.0137876 | − | 0.711554i | ||||
\(421\) | −470.236 | −1.11695 | −0.558475 | − | 0.829521i | \(-0.688613\pi\) | ||||
−0.558475 | + | 0.829521i | \(0.688613\pi\) | |||||||
\(422\) | 19.7672 | + | 73.7721i | 0.0468417 | + | 0.174815i | ||||
\(423\) | 49.3338 | − | 184.116i | 0.116628 | − | 0.435263i | ||||
\(424\) | 96.9634 | − | 55.9819i | 0.228687 | − | 0.132033i | ||||
\(425\) | 161.736 | − | 184.029i | 0.380555 | − | 0.433010i | ||||
\(426\) | 628.789 | 1.47603 | ||||||||
\(427\) | 540.172 | − | 115.265i | 1.26504 | − | 0.269941i | ||||
\(428\) | 211.610 | + | 211.610i | 0.494416 | + | 0.494416i | ||||
\(429\) | −112.334 | − | 64.8560i | −0.261850 | − | 0.151179i | ||||
\(430\) | −31.5160 | − | 978.634i | −0.0732931 | − | 2.27589i | ||||
\(431\) | −135.577 | − | 234.827i | −0.314564 | − | 0.544841i | 0.664781 | − | 0.747039i | \(-0.268525\pi\) |
−0.979345 | + | 0.202198i | \(0.935192\pi\) | |||||||
\(432\) | −15.3461 | − | 57.2724i | −0.0355233 | − | 0.132575i | ||||
\(433\) | −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 | ||||
\(437\) | 39.0966 | + | 10.4759i | 0.0894660 | + | 0.0239723i | ||||
\(438\) | 6.52024 | − | 24.3339i | 0.0148864 | − | 0.0555568i | ||||
\(439\) | −406.331 | − | 234.596i | −0.925584 | − | 0.534386i | −0.0401720 | − | 0.999193i | \(-0.512791\pi\) |
−0.885412 | + | 0.464806i | \(0.846124\pi\) | |||||||
\(440\) | 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 | ||||
\(443\) | −297.069 | + | 79.5993i | −0.670584 | + | 0.179682i | −0.578018 | − | 0.816024i | \(-0.696174\pi\) |
−0.0925661 | + | 0.995707i | \(0.529507\pi\) | |||||||
\(444\) | 335.247 | − | 193.555i | 0.755061 | − | 0.435934i | ||||
\(445\) | 118.666 | − | 3.82152i | 0.266664 | − | 0.00858767i | ||||
\(446\) | −124.631 | + | 215.867i | −0.279441 | + | 0.484006i | ||||
\(447\) | −39.9641 | + | 39.9641i | −0.0894052 | + | 0.0894052i | ||||
\(448\) | −465.309 | + | 419.635i | −1.03864 | + | 0.936685i | ||||
\(449\) | 556.174i | 1.23870i | 0.785117 | + | 0.619348i | \(0.212603\pi\) | ||||
−0.785117 | + | 0.619348i | \(0.787397\pi\) | |||||||
\(450\) | 168.354 | + | 147.960i | 0.374121 | + | 0.328800i | ||||
\(451\) | 388.892 | + | 673.581i | 0.862289 | + | 1.49353i | ||||
\(452\) | −83.4834 | − | 22.3693i | −0.184698 | − | 0.0494896i | ||||
\(453\) | 261.145 | − | 69.9736i | 0.576479 | − | 0.154467i | ||||
\(454\) | 1231.18i | 2.71186i | ||||||||
\(455\) | 94.3180 | + | 170.928i | 0.207292 | + | 0.375665i | ||||
\(456\) | 25.4771 | 0.0558708 | ||||||||
\(457\) | −132.915 | − | 496.047i | −0.290843 | − | 1.08544i | −0.944463 | − | 0.328618i | \(-0.893417\pi\) |
0.653620 | − | 0.756823i | \(-0.273250\pi\) | |||||||
\(458\) | 290.772 | − | 1085.17i | 0.634872 | − | 2.36938i | ||||
\(459\) | −44.1001 | + | 25.4612i | −0.0960786 | + | 0.0554710i | ||||
\(460\) | −42.9447 | + | 183.738i | −0.0933580 | + | 0.399430i | ||||
\(461\) | −140.261 | −0.304254 | −0.152127 | − | 0.988361i | \(-0.548612\pi\) | ||||
−0.152127 | + | 0.988361i | \(0.548612\pi\) | |||||||
\(462\) | −149.961 | + | 462.781i | −0.324591 | + | 1.00169i | ||||
\(463\) | −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 | ||||
\(465\) | −115.119 | + | 122.780i | −0.247568 | + | 0.264044i | ||||
\(466\) | 36.2859 | + | 62.8490i | 0.0778667 | + | 0.134869i | ||||
\(467\) | 114.858 | + | 428.655i | 0.245948 | + | 0.917892i | 0.972904 | + | 0.231208i | \(0.0742677\pi\) |
−0.726956 | + | 0.686684i | \(0.759066\pi\) | |||||||
\(468\) | −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 | ||||
\(472\) | 187.535 | + | 50.2500i | 0.397321 | + | 0.106462i | ||||
\(473\) | −227.711 | + | 849.829i | −0.481419 | + | 1.79668i | ||||
\(474\) | −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 | ||||
\(478\) | −146.257 | + | 39.1894i | −0.305977 | + | 0.0819862i | ||||
\(479\) | 190.500 | − | 109.985i | 0.397703 | − | 0.229614i | −0.287789 | − | 0.957694i | \(-0.592920\pi\) |
0.685492 | + | 0.728080i | \(0.259587\pi\) | |||||||
\(480\) | −12.6069 | − | 391.467i | −0.0262643 | − | 0.815557i | ||||
\(481\) | −126.415 | + | 218.957i | −0.262816 | + | 0.455211i | ||||
\(482\) | 246.426 | − | 246.426i | 0.511257 | − | 0.511257i | ||||
\(483\) | −68.9112 | + | 62.1469i | −0.142673 | + | 0.128669i | ||||
\(484\) | − | 292.217i | − | 0.603755i | ||||||
\(485\) | −65.8357 | + | 281.676i | −0.135744 | + | 0.580776i | ||||
\(486\) | −23.2925 | − | 40.3438i | −0.0479270 | − | 0.0830120i | ||||
\(487\) | 373.904 | + | 100.187i | 0.767770 | + | 0.205723i | 0.621386 | − | 0.783504i | \(-0.286570\pi\) |
0.146384 | + | 0.989228i | \(0.453237\pi\) | |||||||
\(488\) | −211.987 | + | 56.8016i | −0.434399 | + | 0.116397i | ||||
\(489\) | − | 101.244i | − | 0.207044i | ||||||
\(490\) | 553.114 | − | 479.720i | 1.12880 | − | 0.979021i | ||||
\(491\) | 285.045 | 0.580539 | 0.290269 | − | 0.956945i | \(-0.406255\pi\) | ||||
0.290269 | + | 0.956945i | \(0.406255\pi\) | |||||||
\(492\) | 128.048 | + | 477.880i | 0.260259 | + | 0.971301i | ||||
\(493\) | 93.1347 | − | 347.583i | 0.188914 | − | 0.705037i | ||||
\(494\) | −76.3423 | + | 44.0763i | −0.154539 | + | 0.0892232i | ||||
\(495\) | −106.259 | − | 171.081i | −0.214664 | − | 0.345618i | ||||
\(496\) | 221.764 | 0.447106 | ||||||||
\(497\) | 569.498 | + | 631.484i | 1.14587 | + | 1.27059i | ||||
\(498\) | −516.005 | − | 516.005i | −1.03615 | − | 1.03615i | ||||
\(499\) | −439.080 | − | 253.503i | −0.879920 | − | 0.508022i | −0.00928793 | − | 0.999957i | \(-0.502956\pi\) |
−0.870632 | + | 0.491935i | \(0.836290\pi\) | |||||||
\(500\) | 358.204 | + | 501.562i | 0.716409 | + | 1.00312i | ||||
\(501\) | 113.927 | + | 197.328i | 0.227400 | + | 0.393868i | ||||
\(502\) | −247.995 | − | 925.530i | −0.494014 | − | 1.84368i | ||||
\(503\) | 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 | ||||
\(507\) | −230.691 | − | 61.8135i | −0.455012 | − | 0.121920i | ||||
\(508\) | 38.0419 | − | 141.974i | 0.0748856 | − | 0.279477i | ||||
\(509\) | −9.46947 | − | 5.46720i | −0.0186041 | − | 0.0107411i | 0.490669 | − | 0.871346i | \(-0.336752\pi\) |
−0.509273 | + | 0.860605i | \(0.670086\pi\) | |||||||
\(510\) | −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 | ||||
\(513\) | −26.5432 | + | 7.11223i | −0.0517411 | + | 0.0138640i | ||||
\(514\) | 514.104 | − | 296.818i | 1.00020 | − | 0.577467i | ||||
\(515\) | −433.936 | + | 462.815i | −0.842594 | + | 0.898670i | ||||
\(516\) | −279.816 | + | 484.656i | −0.542280 | + | 0.939256i | ||||
\(517\) | −603.209 | + | 603.209i | −1.16675 | + | 1.16675i | ||||
\(518\) | 902.033 | + | 292.298i | 1.74138 | + | 0.564282i | ||||
\(519\) | 419.428i | 0.808146i | ||||||||
\(520\) | −40.9274 | − | 65.8947i | −0.0787065 | − | 0.126721i | ||||
\(521\) | 71.2494 | + | 123.408i | 0.136755 | + | 0.236867i | 0.926267 | − | 0.376869i | \(-0.122999\pi\) |
−0.789511 | + | 0.613736i | \(0.789666\pi\) | |||||||
\(522\) | 317.977 | + | 85.2018i | 0.609152 | + | 0.163222i | ||||
\(523\) | −30.8250 | + | 8.25954i | −0.0589389 | + | 0.0157926i | −0.288168 | − | 0.957580i | \(-0.593046\pi\) |
0.229229 | + | 0.973372i | \(0.426379\pi\) | |||||||
\(524\) | − | 617.416i | − | 1.17827i | ||||||
\(525\) | 3.88536 | + | 303.084i | 0.00740068 | + | 0.577303i | ||||
\(526\) | −47.4149 | −0.0901424 | ||||||||
\(527\) | −49.2942 | − | 183.968i | −0.0935374 | − | 0.349086i | ||||
\(528\) | −68.6802 | + | 256.318i | −0.130076 | + | 0.485451i | ||||
\(529\) | −407.397 | + | 235.211i | −0.770127 | + | 0.444633i | ||||
\(530\) | −510.956 | + | 317.356i | −0.964068 | + | 0.598785i | ||||
\(531\) | −209.411 | −0.394371 | ||||||||
\(532\) | 122.244 | + | 135.550i | 0.229783 | + | 0.254793i | ||||
\(533\) | −228.483 | − | 228.483i | −0.428673 | − | 0.428673i | ||||
\(534\) | −106.442 | − | 61.4545i | −0.199330 | − | 0.115083i | ||||
\(535\) | −221.379 | − | 207.565i | −0.413792 | − | 0.387972i | ||||
\(536\) | −154.401 | − | 267.431i | −0.288062 | − | 0.498938i | ||||
\(537\) | 118.533 | + | 442.372i | 0.220732 | + | 0.823784i | ||||
\(538\) | −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 | −0.935047 | − | 0.354524i | \(-0.884643\pi\) |
0.774551 | + | 0.632512i | \(0.217976\pi\) | |||||||
\(542\) | −453.526 | − | 121.522i | −0.836764 | − | 0.224210i | ||||
\(543\) | 128.219 | − | 478.521i | 0.236131 | − | 0.881253i | ||||
\(544\) | 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 | \(0.210449\pi\) | |||||||
\(548\) | −174.511 | + | 46.7602i | −0.318452 | + | 0.0853289i | ||||
\(549\) | 205.000 | − | 118.357i | 0.373407 | − | 0.215586i | ||||
\(550\) | −321.421 | − | 950.196i | −0.584402 | − | 1.72763i | ||||
\(551\) | 97.0925 | − | 168.169i | 0.176211 | − | 0.305207i | ||||
\(552\) | 26.0721 | − | 26.0721i | 0.0472320 | − | 0.0472320i | ||||
\(553\) | −195.676 | − | 917.009i | −0.353845 | − | 1.65824i | ||||
\(554\) | 624.904i | 1.12799i | ||||||||
\(555\) | −333.464 | + | 207.115i | −0.600836 | + | 0.373181i | ||||
\(556\) | −208.690 | − | 361.462i | −0.375342 | − | 0.650112i | ||||
\(557\) | −46.7512 | − | 12.5270i | −0.0839340 | − | 0.0224900i | 0.216608 | − | 0.976259i | \(-0.430501\pi\) |
−0.300542 | + | 0.953769i | \(0.597167\pi\) | |||||||
\(558\) | 168.299 | − | 45.0955i | 0.301611 | − | 0.0808163i | ||||
\(559\) | − | 365.508i | − | 0.653860i | ||||||
\(560\) | 287.823 | − | 276.881i | 0.513970 | − | 0.494430i | ||||
\(561\) | 227.899 | 0.406238 | ||||||||
\(562\) | −351.855 | − | 1313.14i | −0.626076 | − | 2.33655i | ||||
\(563\) | −72.9609 | + | 272.294i | −0.129593 | + | 0.483648i | −0.999962 | − | 0.00875281i | \(-0.997214\pi\) |
0.870369 | + | 0.492401i | \(0.163881\pi\) | |||||||
\(564\) | −469.925 | + | 271.312i | −0.833201 | + | 0.481049i | ||||
\(565\) | 85.3427 | + | 19.9470i | 0.151049 | + | 0.0353044i | ||||
\(566\) | 306.797 | 0.542045 | ||||||||
\(567\) | 19.4206 | − | 59.9320i | 0.0342514 | − | 0.105700i | ||||
\(568\) | −238.918 | − | 238.918i | −0.420629 | − | 0.420629i | ||||
\(569\) | 466.721 | + | 269.461i | 0.820247 | + | 0.473570i | 0.850502 | − | 0.525972i | \(-0.176298\pi\) |
−0.0302544 | + | 0.999542i | \(0.509632\pi\) | |||||||
\(570\) | −136.797 | + | 4.40542i | −0.239995 | + | 0.00772881i | ||||
\(571\) | 150.339 | + | 260.394i | 0.263290 | + | 0.456032i | 0.967114 | − | 0.254342i | \(-0.0818590\pi\) |
−0.703824 | + | 0.710374i | \(0.748526\pi\) | |||||||
\(572\) | 95.5709 | + | 356.676i | 0.167082 | + | 0.623559i | ||||
\(573\) | −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 | ||||
\(577\) | −269.861 | − | 72.3090i | −0.467697 | − | 0.125319i | 0.0172714 | − | 0.999851i | \(-0.494502\pi\) |
−0.484968 | + | 0.874532i | \(0.661169\pi\) | |||||||
\(578\) | −149.247 | + | 556.998i | −0.258213 | + | 0.963664i | ||||
\(579\) | −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 | ||||
\(583\) | 522.053 | − | 139.884i | 0.895460 | − | 0.239938i | ||||
\(584\) | −11.7235 | + | 6.76855i | −0.0200744 | + | 0.0115900i | ||||
\(585\) | 61.0352 | + | 57.2267i | 0.104334 | + | 0.0978235i | ||||
\(586\) | 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 | \(0.331429\pi\) | |||||||
\(588\) | −413.216 | + | 66.1187i | −0.702749 | + | 0.112447i | ||||
\(589\) | − | 102.778i | − | 0.174496i | ||||||
\(590\) | −1015.64 | − | 237.385i | −1.72143 | − | 0.402347i | ||||
\(591\) | −166.660 | − | 288.664i | −0.281997 | − | 0.488434i | ||||
\(592\) | 499.605 | + | 133.869i | 0.843927 | + | 0.226129i | ||||
\(593\) | 1014.23 | − | 271.762i | 1.71034 | − | 0.458284i | 0.734831 | − | 0.678250i | \(-0.237261\pi\) |
0.975508 | + | 0.219966i | \(0.0705946\pi\) | |||||||
\(594\) | 208.488i | 0.350989i | ||||||||
\(595\) | −293.669 | − | 177.223i | −0.493561 | − | 0.297854i | ||||
\(596\) | 160.892 | 0.269953 | ||||||||
\(597\) | 55.8470 | + | 208.424i | 0.0935461 | + | 0.349119i | ||||
\(598\) | −33.0196 | + | 123.231i | −0.0552167 | + | 0.206071i | ||||
\(599\) | 516.500 | − | 298.201i | 0.862270 | − | 0.497832i | −0.00250190 | − | 0.999997i | \(-0.500796\pi\) |
0.864772 | + | 0.502165i | \(0.167463\pi\) | |||||||
\(600\) | −7.74914 | − | 120.188i | −0.0129152 | − | 0.200314i | ||||
\(601\) | −480.552 | −0.799588 | −0.399794 | − | 0.916605i | \(-0.630918\pi\) | ||||
−0.399794 | + | 0.916605i | \(0.630918\pi\) | |||||||
\(602\) | −1340.62 | + | 286.068i | −2.22694 | + | 0.475196i | ||||
\(603\) | 235.519 | + | 235.519i | 0.390578 | + | 0.390578i | ||||
\(604\) | −666.528 | − | 384.820i | −1.10352 | − | 0.637119i | ||||
\(605\) | 9.53788 | + | 296.170i | 0.0157651 | + | 0.489537i | ||||
\(606\) | −176.821 | − | 306.262i | −0.291783 | − | 0.505383i | ||||
\(607\) | −220.289 | − | 822.130i | −0.362914 | − | 1.35441i | −0.870226 | − | 0.492652i | \(-0.836028\pi\) |
0.507312 | − | 0.861762i | \(-0.330639\pi\) | |||||||
\(608\) | 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 | ||||
\(612\) | 140.024 | + | 37.5193i | 0.228797 | + | 0.0613060i | ||||
\(613\) | −276.060 | + | 1030.27i | −0.450343 | + | 1.68070i | 0.251089 | + | 0.967964i | \(0.419211\pi\) |
−0.701431 | + | 0.712737i | \(0.747455\pi\) | |||||||
\(614\) | −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 | \(0.350418\pi\) | |||||||
\(618\) | 634.395 | − | 169.986i | 1.02653 | − | 0.275057i | ||||
\(619\) | −136.247 | + | 78.6625i | −0.220109 | + | 0.127080i | −0.606001 | − | 0.795464i | \(-0.707227\pi\) |
0.385892 | + | 0.922544i | \(0.373894\pi\) | |||||||
\(620\) | 478.881 | − | 15.4219i | 0.772389 | − | 0.0248741i | ||||
\(621\) | −19.8847 | + | 34.4414i | −0.0320205 | + | 0.0554611i | ||||
\(622\) | −849.859 | + | 849.859i | −1.36633 | + | 1.36633i | ||||
\(623\) | −34.6875 | − | 162.558i | −0.0556782 | − | 0.260928i | ||||
\(624\) | − | 110.241i | − | 0.176669i | ||||||
\(625\) | −379.420 | − | 496.654i | −0.607072 | − | 0.794647i | ||||
\(626\) | 428.805 | + | 742.712i | 0.684992 | + | 1.18644i | ||||
\(627\) | 118.792 | + | 31.8302i | 0.189461 | + | 0.0507659i | ||||
\(628\) | 316.816 | − | 84.8905i | 0.504483 | − | 0.135176i | ||||
\(629\) | − | 444.212i | − | 0.706219i | ||||||
\(630\) | 162.128 | − | 268.656i | 0.257346 | − | 0.426437i | ||||
\(631\) | −131.406 | −0.208250 | −0.104125 | − | 0.994564i | \(-0.533204\pi\) | ||||
−0.104125 | + | 0.994564i | \(0.533204\pi\) | |||||||
\(632\) | 96.4279 | + | 359.874i | 0.152576 | + | 0.569421i | ||||
\(633\) | −11.4568 | + | 42.7572i | −0.0180992 | + | 0.0675470i | ||||
\(634\) | 900.060 | − | 519.650i | 1.41965 | − | 0.819637i | ||||
\(635\) | −33.9224 | + | 145.136i | −0.0534211 | + | 0.228561i | ||||
\(636\) | 343.785 | 0.540542 | ||||||||
\(637\) | 212.131 | − | 172.338i | 0.333016 | − | 0.270546i | ||||
\(638\) | −1041.77 | − | 1041.77i | −1.63287 | − | 1.63287i | ||||
\(639\) | 315.612 | + | 182.219i | 0.493915 | + | 0.285162i | ||||
\(640\) | −296.147 | + | 315.856i | −0.462729 | + | 0.493525i | ||||
\(641\) | −128.958 | − | 223.362i | −0.201182 | − | 0.348458i | 0.747727 | − | 0.664006i | \(-0.231145\pi\) |
−0.948910 | + | 0.315548i | \(0.897812\pi\) | |||||||
\(642\) | 81.3094 | + | 303.451i | 0.126650 | + | 0.472665i | ||||
\(643\) | 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 | ||||
\(647\) | −368.344 | − | 98.6974i | −0.569310 | − | 0.152546i | −0.0373301 | − | 0.999303i | \(-0.511885\pi\) |
−0.531980 | + | 0.846757i | \(0.678552\pi\) | |||||||
\(648\) | −6.47889 | + | 24.1795i | −0.00999829 | + | 0.0373141i | ||||
\(649\) | 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 | ||||
\(653\) | −1089.41 | + | 291.908i | −1.66832 | + | 0.447026i | −0.964658 | − | 0.263506i | \(-0.915121\pi\) |
−0.703665 | + | 0.710532i | \(0.748454\pi\) | |||||||
\(654\) | 96.5735 | − | 55.7567i | 0.147666 | − | 0.0852550i | ||||
\(655\) | 20.1522 | + | 625.767i | 0.0307668 | + | 0.955369i | ||||
\(656\) | −330.517 | + | 572.472i | −0.503836 | + | 0.872670i | ||||
\(657\) | 10.3245 | − | 10.3245i | 0.0157146 | − | 0.0157146i | ||||
\(658\) | −1264.41 | − | 409.723i | −1.92159 | − | 0.622679i | ||||
\(659\) | − | 737.560i | − | 1.11921i | −0.828759 | − | 0.559605i | \(-0.810953\pi\) | ||
0.828759 | − | 0.559605i | \(-0.189047\pi\) | |||||||
\(660\) | −130.484 | + | 558.273i | −0.197703 | + | 0.845868i | ||||
\(661\) | −166.939 | − | 289.147i | −0.252555 | − | 0.437439i | 0.711673 | − | 0.702511i | \(-0.247938\pi\) |
−0.964229 | + | 0.265072i | \(0.914604\pi\) | |||||||
\(662\) | 209.092 | + | 56.0259i | 0.315848 | + | 0.0846313i | ||||
\(663\) | −91.4524 | + | 24.5046i | −0.137937 | + | 0.0369602i | ||||
\(664\) | 392.127i | 0.590553i | ||||||||
\(665\) | −128.322 | − | 133.393i | −0.192966 | − | 0.200591i | ||||
\(666\) | 406.376 | 0.610174 | ||||||||
\(667\) | −72.7365 | − | 271.456i | −0.109050 | − | 0.406981i | ||||
\(668\) | 167.882 | − | 626.543i | 0.251320 | − | 0.937939i | ||||
\(669\) | −125.113 | + | 72.2341i | −0.187015 | + | 0.107973i | ||||
\(670\) | 875.286 | + | 1409.25i | 1.30640 | + | 2.10335i | ||||
\(671\) | −1059.40 | −1.57883 | ||||||||
\(672\) | −536.266 | + | 114.431i | −0.798014 | + | 0.170284i | ||||
\(673\) | −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 | ||||
\(675\) | 41.6253 | + | 123.054i | 0.0616671 | + | 0.182302i | ||||
\(676\) | 339.943 | + | 588.799i | 0.502875 | + | 0.871005i | ||||
\(677\) | 216.220 | + | 806.946i | 0.319380 | + | 1.19194i | 0.919842 | + | 0.392290i | \(0.128317\pi\) |
−0.600461 | + | 0.799654i | \(0.705016\pi\) | |||||||
\(678\) | −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 | ||||
\(682\) | −753.208 | − | 201.821i | −1.10441 | − | 0.295926i | ||||
\(683\) | 243.613 | − | 909.178i | 0.356681 | − | 1.33115i | −0.521674 | − | 0.853145i | \(-0.674692\pi\) |
0.878355 | − | 0.478008i | \(-0.158641\pi\) | |||||||
\(684\) | 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 | ||||
\(688\) | −722.263 | + | 193.530i | −1.04980 | + | 0.281293i | ||||
\(689\) | −194.451 | + | 112.266i | −0.282222 | + | 0.162941i | ||||
\(690\) | −135.483 | + | 144.500i | −0.196352 | + | 0.209420i | ||||
\(691\) | −409.191 | + | 708.740i | −0.592172 | + | 1.02567i | 0.401767 | + | 0.915742i | \(0.368396\pi\) |
−0.993939 | + | 0.109931i | \(0.964937\pi\) | |||||||
\(692\) | 844.291 | − | 844.291i | 1.22007 | − | 1.22007i | ||||
\(693\) | −209.381 | + | 188.828i | −0.302137 | + | 0.272480i | ||||
\(694\) | − | 862.487i | − | 1.24278i | ||||||
\(695\) | 223.311 | + | 359.540i | 0.321311 | + | 0.517323i | ||||
\(696\) | −88.4465 | − | 153.194i | −0.127078 | − | 0.220106i | ||||
\(697\) | 548.371 | + | 146.936i | 0.786760 | + | 0.210812i | ||||
\(698\) | −1386.99 | + | 371.643i | −1.98709 | + | 0.532439i | ||||
\(699\) | 42.0616i | 0.0601739i | ||||||||
\(700\) | 602.274 | − | 617.916i | 0.860392 | − | 0.882738i | ||||
\(701\) | 480.047 | 0.684803 | 0.342402 | − | 0.939554i | \(-0.388760\pi\) | ||||
0.342402 | + | 0.939554i | \(0.388760\pi\) | |||||||
\(702\) | −22.4174 | − | 83.6629i | −0.0319336 | − | 0.119178i | ||||
\(703\) | 62.0422 | − | 231.545i | 0.0882535 | − | 0.329366i | ||||
\(704\) | 1040.80 | − | 600.905i | 1.47841 | − | 0.853558i | ||||
\(705\) | 467.426 | − | 290.319i | 0.663015 | − | 0.411800i | ||||
\(706\) | −288.430 | −0.408541 | ||||||||
\(707\) | 147.427 | − | 454.962i | 0.208525 | − | 0.643510i | ||||
\(708\) | 421.535 | + | 421.535i | 0.595389 | + | 0.595389i | ||||
\(709\) | 1211.17 | + | 699.271i | 1.70828 | + | 0.986278i | 0.936688 | + | 0.350166i | \(0.113875\pi\) |
0.771597 | + | 0.636112i | \(0.219458\pi\) | |||||||
\(710\) | 1324.16 | + | 1241.53i | 1.86501 | + | 1.74864i | ||||
\(711\) | −200.926 | − | 348.014i | −0.282596 | − | 0.489471i | ||||
\(712\) | 17.0938 | + | 63.7948i | 0.0240081 | + | 0.0895994i | ||||
\(713\) | −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 | ||||
\(717\) | −84.7684 | − | 22.7136i | −0.118226 | − | 0.0316787i | ||||
\(718\) | −250.845 | + | 936.168i | −0.349367 | + | 1.30385i | ||||
\(719\) | −742.957 | − | 428.946i | −1.03332 | − | 0.596587i | −0.115386 | − | 0.993321i | \(-0.536810\pi\) |
−0.917934 | + | 0.396734i | \(0.870144\pi\) | |||||||
\(720\) | 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 | ||||
\(723\) | 195.102 | − | 52.2775i | 0.269851 | − | 0.0723063i | ||||
\(724\) | −1221.34 | + | 705.142i | −1.68694 | + | 0.973953i | ||||
\(725\) | −822.869 | − | 406.883i | −1.13499 | − | 0.561218i | ||||
\(726\) | 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 | \(0.247376\pi\) | |||||||
\(728\) | −80.6468 | + | 72.7305i | −0.110779 | + | 0.0999046i | ||||
\(729\) | − | 27.0000i | − | 0.0370370i | ||||||
\(730\) | 61.7777 | − | 38.3703i | 0.0846270 | − | 0.0525620i | ||||
\(731\) | 321.092 | + | 556.147i | 0.439250 | + | 0.760804i | ||||
\(732\) | −650.905 | − | 174.409i | −0.889214 | − | 0.238264i | ||||
\(733\) | 1076.99 | − | 288.580i | 1.46930 | − | 0.393697i | 0.566606 | − | 0.823989i | \(-0.308256\pi\) |
0.902690 | + | 0.430292i | \(0.141589\pi\) | |||||||
\(734\) | − | 771.050i | − | 1.05048i | ||||||
\(735\) | 416.647 | − | 80.5002i | 0.566867 | − | 0.109524i | ||||
\(736\) | 346.145 | 0.470306 | ||||||||
\(737\) | −385.807 | − | 1439.85i | −0.523483 | − | 1.95367i | ||||
\(738\) | −134.420 | + | 501.663i | −0.182141 | + | 0.679761i | ||||
\(739\) | 635.156 | − | 366.708i | 0.859481 | − | 0.496221i | −0.00435760 | − | 0.999991i | \(-0.501387\pi\) |
0.863838 | + | 0.503769i | \(0.168054\pi\) | |||||||
\(740\) | 1088.16 | + | 254.334i | 1.47049 | + | 0.343695i | ||||
\(741\) | −51.0919 | −0.0689500 | ||||||||
\(742\) | 563.962 | + | 625.345i | 0.760056 | + | 0.842784i | ||||
\(743\) | −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 | ||||
\(745\) | −163.068 | + | 5.25146i | −0.218884 | + | 0.00704895i | ||||
\(746\) | 733.284 | + | 1270.08i | 0.982954 | + | 1.70253i | ||||
\(747\) | −109.467 | − | 408.536i | −0.146542 | − | 0.546902i | ||||
\(748\) | −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 | −0.973782 | − | 0.227482i | \(-0.926951\pi\) |
0.683897 | + | 0.729579i | \(0.260284\pi\) | |||||||
\(752\) | −700.310 | − | 187.648i | −0.931264 | − | 0.249531i | ||||
\(753\) | 143.734 | − | 536.424i | 0.190882 | − | 0.712382i | ||||
\(754\) | 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 | \(0.209251\pi\) | |||||||
\(758\) | 513.243 | − | 137.523i | 0.677101 | − | 0.181429i | ||||
\(759\) | 154.140 | − | 88.9926i | 0.203083 | − | 0.117250i | ||||
\(760\) | 53.6519 | + | 50.3041i | 0.0705946 | + | 0.0661896i | ||||
\(761\) | 191.516 | − | 331.716i | 0.251664 | − | 0.435895i | −0.712320 | − | 0.701855i | \(-0.752356\pi\) |
0.963984 | + | 0.265960i | \(0.0856889\pi\) | |||||||
\(762\) | 109.105 | − | 109.105i | 0.143182 | − | 0.143182i | ||||
\(763\) | 143.463 | + | 46.4882i | 0.188025 | + | 0.0609282i | ||||
\(764\) | 375.758i | 0.491829i | ||||||||
\(765\) | −143.142 | − | 33.4564i | −0.187114 | − | 0.0437339i | ||||
\(766\) | −688.674 | − | 1192.82i | −0.899052 | − | 1.55720i | ||||
\(767\) | −376.085 | − | 100.772i | −0.490332 | − | 0.131384i | ||||
\(768\) | −166.072 | + | 44.4987i | −0.216239 | + | 0.0579411i | ||||
\(769\) | − | 210.497i | − | 0.273729i | −0.990590 | − | 0.136864i | \(-0.956298\pi\) | ||
0.990590 | − | 0.136864i | \(-0.0437024\pi\) | |||||||
\(770\) | −1229.55 | + | 678.468i | −1.59682 | + | 0.881127i | ||||
\(771\) | 344.063 | 0.446255 | ||||||||
\(772\) | 312.571 | + | 1166.53i | 0.404885 | + | 1.51105i | ||||
\(773\) | 111.390 | − | 415.715i | 0.144101 | − | 0.537794i | −0.855692 | − | 0.517485i | \(-0.826868\pi\) |
0.999794 | − | 0.0203089i | \(-0.00646496\pi\) | |||||||
\(774\) | −508.777 | + | 293.743i | −0.657335 | + | 0.379512i | ||||
\(775\) | −484.855 | + | 31.2610i | −0.625619 | + | 0.0403368i | ||||
\(776\) | −160.913 | −0.207362 | ||||||||
\(777\) | 368.057 | + | 408.118i | 0.473690 | + | 0.525248i | ||||
\(778\) | 630.931 | + | 630.931i | 0.810965 | + | 0.810965i | ||||
\(779\) | 265.315 | + | 153.180i | 0.340584 | + | 0.196637i | ||||
\(780\) | −7.66639 | − | 238.056i | −0.00982870 | − | 0.305200i | ||||
\(781\) | −815.505 | − | 1412.50i | −1.04418 | − | 1.80857i | ||||
\(782\) | −58.0142 | − | 216.512i | −0.0741869 | − | 0.276869i | ||||
\(783\) | 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 | ||||
\(787\) | 709.488 | + | 190.107i | 0.901510 | + | 0.241559i | 0.679665 | − | 0.733523i | \(-0.262125\pi\) |
0.221845 | + | 0.975082i | \(0.428792\pi\) | |||||||
\(788\) | −245.589 | + | 916.549i | −0.311661 | + | 1.16313i | ||||
\(789\) | −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 | ||||
\(793\) | 425.119 | − | 113.910i | 0.536089 | − | 0.143645i | ||||
\(794\) | −232.607 | + | 134.296i | −0.292956 | + | 0.169138i | ||||
\(795\) | −348.434 | + | 11.2210i | −0.438282 | + | 0.0141145i | ||||
\(796\) | 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 | \(0.0518919\pi\) | |||||||
\(798\) | 39.9875 | + | 187.396i | 0.0501097 | + | 0.234832i | ||||
\(799\) | 622.665i | 0.779305i | ||||||||
\(800\) | 746.397 | − | 849.278i | 0.932996 | − | 1.06160i | ||||
\(801\) | −35.6181 | − | 61.6924i | −0.0444671 | − | 0.0770192i | ||||
\(802\) | 280.936 | + | 75.2765i | 0.350294 | + | 0.0938610i | ||||
\(803\) | −63.1194 | + | 16.9128i | −0.0786045 | + | 0.0210620i | ||||
\(804\) | − | 948.178i | − | 1.17933i | ||||||
\(805\) | −267.827 | − | 5.18960i | −0.332704 | − | 0.00644671i | ||||
\(806\) | 323.951 | 0.401925 | ||||||||
\(807\) | −46.5327 | − | 173.662i | −0.0576613 | − | 0.215195i | ||||
\(808\) | −49.1832 | + | 183.554i | −0.0608703 | + | 0.227171i | ||||
\(809\) | −366.207 | + | 211.430i | −0.452666 | + | 0.261347i | −0.708956 | − | 0.705253i | \(-0.750833\pi\) |
0.256289 | + | 0.966600i | \(0.417500\pi\) | |||||||
\(810\) | 30.6067 | − | 130.950i | 0.0377861 | − | 0.161667i | ||||
\(811\) | 549.264 | 0.677268 | 0.338634 | − | 0.940918i | \(-0.390035\pi\) | ||||
0.338634 | + | 0.940918i | \(0.390035\pi\) | |||||||
\(812\) | 390.677 | − | 1205.63i | 0.481129 | − | 1.48477i | ||||
\(813\) | −192.425 | − | 192.425i | −0.236685 | − | 0.236685i | ||||
\(814\) | −1575.04 | − | 909.352i | −1.93494 | − | 1.11714i | ||||
\(815\) | 199.905 | − | 213.209i | 0.245283 | − | 0.261606i | ||||
\(816\) | 96.8449 | + | 167.740i | 0.118683 | + | 0.205564i | ||||
\(817\) | 89.6925 | + | 334.737i | 0.109783 | + | 0.409715i | ||||
\(818\) | 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 | −0.919475 | − | 0.393149i | \(-0.871386\pi\) |
0.800214 | + | 0.599714i | \(0.204719\pi\) | |||||||
\(822\) | −183.197 | − | 49.0874i | −0.222867 | − | 0.0597170i | ||||
\(823\) | 380.440 | − | 1419.82i | 0.462260 | − | 1.72518i | −0.203559 | − | 0.979063i | \(-0.565251\pi\) |
0.665818 | − | 0.746114i | \(-0.268083\pi\) | |||||||
\(824\) | −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 | \(0.436158\pi\) | |||||||
\(828\) | 109.356 | − | 29.3019i | 0.132073 | − | 0.0353888i | ||||
\(829\) | −946.305 | + | 546.349i | −1.14150 | + | 0.659046i | −0.946802 | − | 0.321816i | \(-0.895707\pi\) |
−0.194700 | + | 0.980863i | \(0.562373\pi\) | |||||||
\(830\) | −67.8054 | − | 2105.49i | −0.0816932 | − | 2.53673i | ||||
\(831\) | −181.093 | + | 313.662i | −0.217921 | + | 0.377451i | ||||
\(832\) | −353.044 | + | 353.044i | −0.424332 | + | 0.424332i | ||||
\(833\) | −171.378 | + | 448.578i | −0.205736 | + | 0.538510i | ||||
\(834\) | − | 438.153i | − | 0.525364i | ||||||
\(835\) | −149.702 | + | 640.497i | −0.179284 | + | 0.767062i | ||||
\(836\) | −175.050 | − | 303.196i | −0.209390 | − | 0.362675i | ||||
\(837\) | 97.5435 | + | 26.1367i | 0.116539 | + | 0.0312266i | ||||
\(838\) | −1489.09 | + | 399.001i | −1.77696 | + | 0.476134i | ||||
\(839\) | 682.503i | 0.813472i | 0.913546 | + | 0.406736i | \(0.133333\pi\) | ||||
−0.913546 | + | 0.406736i | \(0.866667\pi\) | |||||||
\(840\) | −163.682 | + | 40.4768i | −0.194860 | + | 0.0481866i | ||||
\(841\) | −507.268 | −0.603173 | ||||||||
\(842\) | 363.710 | + | 1357.38i | 0.431960 | + | 1.61210i | ||||
\(843\) | 203.930 | − | 761.077i | 0.241910 | − | 0.902820i | ||||
\(844\) | 109.131 | − | 63.0065i | 0.129302 | − | 0.0746523i | ||||
\(845\) | −363.760 | − | 585.668i | −0.430485 | − | 0.693098i | ||||
\(846\) | −569.629 | −0.673320 | ||||||||
\(847\) | 405.719 | − | 86.5744i | 0.479007 | − | 0.102213i | ||||
\(848\) | 324.803 | + | 324.803i | 0.383022 | + | 0.383022i | ||||
\(849\) | 153.993 | + | 88.9077i | 0.181381 | + | 0.104720i | ||||
\(850\) | −656.316 | − | 324.528i | −0.772136 | − | 0.381797i | ||||
\(851\) | −173.461 | − | 300.443i | −0.203832 | − | 0.353047i | ||||
\(852\) | −268.515 | − | 1002.11i | −0.315158 | − | 1.17619i | ||||
\(853\) | 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 | ||||
\(857\) | 1260.74 | + | 337.813i | 1.47110 | + | 0.394181i | 0.903309 | − | 0.428990i | \(-0.141130\pi\) |
0.567794 | + | 0.823171i | \(0.307797\pi\) | |||||||
\(858\) | −100.327 | + | 374.427i | −0.116932 | + | 0.436395i | ||||
\(859\) | −1064.26 | − | 614.453i | −1.23896 | − | 0.715313i | −0.270076 | − | 0.962839i | \(-0.587049\pi\) |
−0.968881 | + | 0.247526i | \(0.920382\pi\) | |||||||
\(860\) | −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 | ||||
\(863\) | 967.875 | − | 259.341i | 1.12152 | − | 0.300511i | 0.350024 | − | 0.936741i | \(-0.386173\pi\) |
0.771500 | + | 0.636229i | \(0.219507\pi\) | |||||||
\(864\) | −203.518 | + | 117.501i | −0.235553 | + | 0.135997i | ||||
\(865\) | −828.153 | + | 883.268i | −0.957402 | + | 1.02112i | ||||
\(866\) | −286.740 | + | 496.649i | −0.331109 | + | 0.573498i | ||||
\(867\) | −236.326 | + | 236.326i | −0.272579 | + | 0.272579i | ||||
\(868\) | −139.983 | − | 656.012i | −0.161271 | − | 0.755775i | ||||
\(869\) | 1798.46i | 2.06957i | ||||||||
\(870\) | 501.395 | + | 807.266i | 0.576316 | + | 0.927892i | ||||
\(871\) | 309.637 | + | 536.307i | 0.355496 | + | 0.615737i | ||||
\(872\) | −57.8801 | − | 15.5089i | −0.0663762 | − | 0.0177855i | ||||
\(873\) | 167.647 | − | 44.9208i | 0.192035 | − | 0.0514557i | ||||
\(874\) | − | 120.959i | − | 0.138397i | ||||||
\(875\) | −590.252 | + | 645.932i | −0.674573 | + | 0.738208i | ||||
\(876\) | −41.5656 | −0.0474494 | ||||||||
\(877\) | 88.6659 | + | 330.906i | 0.101101 | + | 0.377315i | 0.997874 | − | 0.0651767i | \(-0.0207611\pi\) |
−0.896772 | + | 0.442492i | \(0.854094\pi\) | |||||||
\(878\) | −362.902 | + | 1354.37i | −0.413328 | + | 1.54256i | ||||
\(879\) | 217.108 | − | 125.347i | 0.246994 | − | 0.142602i | ||||
\(880\) | −650.728 | + | 404.169i | −0.739463 | + | 0.459283i | ||||
\(881\) | 291.629 | 0.331021 | 0.165510 | − | 0.986208i | \(-0.447073\pi\) | ||||
0.165510 | + | 0.986208i | \(0.447073\pi\) | |||||||
\(882\) | −410.370 | − | 156.780i | −0.465272 | − | 0.177756i | ||||
\(883\) | 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 | ||||
\(885\) | −440.995 | − | 413.478i | −0.498300 | − | 0.467207i | ||||
\(886\) | 459.543 | + | 795.952i | 0.518672 | + | 0.898366i | ||||
\(887\) | 23.6347 | + | 88.2058i | 0.0266456 | + | 0.0994428i | 0.977968 | − | 0.208755i | \(-0.0669410\pi\) |
−0.951322 | + | 0.308197i | \(0.900274\pi\) | |||||||
\(888\) | −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 | ||||
\(892\) | 397.251 | + | 106.443i | 0.445349 | + | 0.119331i | ||||
\(893\) | −86.9663 | + | 324.563i | −0.0973867 | + | 0.363452i | ||||
\(894\) | 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 | ||||
\(898\) | 1605.45 | − | 430.180i | 1.78781 | − | 0.479043i | ||||
\(899\) | −618.004 | + | 356.805i | −0.687435 | + | 0.396891i | ||||
\(900\) | 163.913 | − | 331.493i | 0.182125 | − | 0.368325i | ||||
\(901\) | 197.248 | − | 341.643i | 0.218921 | − | 0.379183i | ||||
\(902\) | 1643.57 | − | 1643.57i | 1.82214 | − | 1.82214i | ||||
\(903\) | −755.804 | − | 244.913i | −0.836992 | − | 0.271222i | ||||
\(904\) | 48.7538i | 0.0539312i | ||||||||
\(905\) | 1214.84 | − | 754.543i | 1.34237 | − | 0.833749i | ||||
\(906\) | −403.972 | − | 699.700i | −0.445885 | − | 0.772296i | ||||
\(907\) | −49.7713 | − | 13.3362i | −0.0548746 | − | 0.0147036i | 0.231277 | − | 0.972888i | \(-0.425710\pi\) |
−0.286152 | + | 0.958184i | \(0.592376\pi\) | |||||||
\(908\) | 1962.16 | − | 525.758i | 2.16097 | − | 0.579029i | ||||
\(909\) | − | 204.965i | − | 0.225484i | ||||||
\(910\) | 420.449 | − | 404.465i | 0.462032 | − | 0.444467i | ||||
\(911\) | 30.4579 | 0.0334334 | 0.0167167 | − | 0.999860i | \(-0.494679\pi\) | ||||
0.0167167 | + | 0.999860i | \(0.494679\pi\) | |||||||
\(912\) | 27.0523 | + | 100.960i | 0.0296626 | + | 0.110702i | ||||
\(913\) | −489.910 | + | 1828.37i | −0.536594 | + | 2.00260i | ||||
\(914\) | −1329.08 | + | 767.347i | −1.45414 | + | 0.839548i | ||||
\(915\) | 665.401 | + | 155.523i | 0.727214 | + | 0.169970i | ||||
\(916\) | −1853.63 | −2.02361 | ||||||||
\(917\) | 857.228 | − | 182.920i | 0.934818 | − | 0.199476i | ||||
\(918\) | 107.606 | + | 107.606i | 0.117218 | + | 0.117218i | ||||
\(919\) | −408.961 | − | 236.114i | −0.445007 | − | 0.256925i | 0.260712 | − | 0.965417i | \(-0.416043\pi\) |
−0.705719 | + | 0.708492i | \(0.749376\pi\) | |||||||
\(920\) | 106.384 | − | 3.42599i | 0.115634 | − | 0.00372390i | ||||
\(921\) | −35.7625 | − | 61.9424i | −0.0388300 | − | 0.0672556i | ||||
\(922\) | 108.487 | + | 404.879i | 0.117665 | + | 0.439131i | ||||
\(923\) | 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 | ||||
\(927\) | 367.686 | + | 98.5211i | 0.396641 | + | 0.106280i | ||||
\(928\) | 429.808 | − | 1604.07i | 0.463155 | − | 1.72852i | ||||
\(929\) | −747.921 | − | 431.812i | −0.805081 | − | 0.464814i | 0.0401635 | − | 0.999193i | \(-0.487212\pi\) |
−0.845245 | + | 0.534379i | \(0.820545\pi\) | |||||||
\(930\) | 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 | ||||
\(933\) | −672.857 | + | 180.292i | −0.721176 | + | 0.193239i | ||||
\(934\) | 1148.52 | − | 663.098i | 1.22968 | − | 0.709955i | ||||
\(935\) | 479.930 | + | 449.983i | 0.513294 | + | 0.481265i | ||||
\(936\) | −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 | \(0.384443\pi\) | |||||||
\(938\) | 1724.74 | − | 1555.44i | 1.83874 | − | 1.65825i | ||||
\(939\) | 497.058i | 0.529349i | ||||||||
\(940\) | −1525.31 | − | 356.508i | −1.62267 | − | 0.379264i | ||||
\(941\) | 215.568 | + | 373.375i | 0.229084 | + | 0.396785i | 0.957537 | − | 0.288311i | \(-0.0930937\pi\) |
−0.728453 | + | 0.685096i | \(0.759760\pi\) | |||||||
\(942\) | 332.583 | + | 89.1153i | 0.353060 | + | 0.0946023i | ||||
\(943\) | 428.268 | − | 114.754i | 0.454155 | − | 0.121690i | ||||
\(944\) | 796.521i | 0.843772i | ||||||||
\(945\) | 159.232 | − | 87.8643i | 0.168500 | − | 0.0929781i | ||||
\(946\) | 2629.24 | 2.77933 | ||||||||
\(947\) | 179.980 | + | 671.694i | 0.190053 | + | 0.709287i | 0.993492 | + | 0.113900i | \(0.0363344\pi\) |
−0.803439 | + | 0.595387i | \(0.796999\pi\) | |||||||
\(948\) | −296.082 | + | 1104.99i | −0.312323 | + | 1.16560i | ||||
\(949\) | 23.5103 | − | 13.5737i | 0.0247738 | − | 0.0143031i | ||||
\(950\) | −296.777 | − | 260.826i | −0.312397 | − | 0.274553i | ||||
\(951\) | 602.363 | 0.633399 | ||||||||
\(952\) | 58.8177 | − | 181.512i | 0.0617833 | − | 0.190664i | ||||
\(953\) | −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 | ||||
\(955\) | −12.2646 | − | 380.840i | −0.0128425 | − | 0.398785i | ||||
\(956\) | 124.914 | + | 216.357i | 0.130663 | + | 0.226315i | ||||
\(957\) | −221.004 | − | 824.799i | −0.230934 | − | 0.861858i | ||||
\(958\) | −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 | ||||
\(962\) | 729.817 | + | 195.554i | 0.758646 | + | 0.203279i | ||||
\(963\) | −47.1257 | + | 175.876i | −0.0489364 | + | 0.182633i | ||||
\(964\) | −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 | \(0.389545\pi\) | |||||||
\(968\) | −159.221 | + | 42.6633i | −0.164485 | + | 0.0440736i | ||||
\(969\) | 77.7402 | − | 44.8833i | 0.0802273 | − | 0.0463192i | ||||
\(970\) | 864.009 | − | 27.8246i | 0.890730 | − | 0.0286852i | ||||
\(971\) | 460.985 | − | 798.449i | 0.474753 | − | 0.822296i | −0.524829 | − | 0.851208i | \(-0.675871\pi\) |
0.999582 | + | 0.0289117i | \(0.00920417\pi\) | |||||||
\(972\) | −54.3499 | + | 54.3499i | −0.0559155 | + | 0.0559155i | ||||
\(973\) | 440.031 | − | 396.838i | 0.452242 | − | 0.407850i | ||||
\(974\) | − | 1156.80i | − | 1.18768i | ||||||
\(975\) | 15.5402 | + | 241.026i | 0.0159386 | + | 0.247206i | ||||
\(976\) | −450.186 | − | 779.745i | −0.461256 | − | 0.798919i | ||||
\(977\) | −88.7663 | − | 23.7849i | −0.0908560 | − | 0.0243448i | 0.213105 | − | 0.977029i | \(-0.431642\pi\) |
−0.303961 | + | 0.952685i | \(0.598309\pi\) | |||||||
\(978\) | −292.252 | + | 78.3088i | −0.298827 | + | 0.0800704i | ||||
\(979\) | 318.812i | 0.325651i | ||||||||
\(980\) | −1000.74 | − | 676.649i | −1.02116 | − | 0.690458i | ||||
\(981\) | 64.6316 | 0.0658834 | ||||||||
\(982\) | −220.471 | − | 822.810i | −0.224513 | − | 0.837892i | ||||
\(983\) | 149.627 | − | 558.417i | 0.152215 | − | 0.568074i | −0.847113 | − | 0.531413i | \(-0.821661\pi\) |
0.999328 | − | 0.0366611i | \(-0.0116722\pi\) | |||||||
\(984\) | 241.689 | − | 139.539i | 0.245619 | − | 0.141808i | ||||
\(985\) | 218.994 | − | 936.962i | 0.222329 | − | 0.951230i | ||||
\(986\) | −1075.37 | −1.09064 | ||||||||
\(987\) | −515.916 | − | 572.070i | −0.522711 | − | 0.579605i | ||||
\(988\) | 102.846 | + | 102.846i | 0.104095 | + | 0.104095i | ||||
\(989\) | 434.341 | + | 250.767i | 0.439172 | + | 0.253556i | ||||
\(990\) | −411.655 | + | 439.051i | −0.415813 | + | 0.443486i | ||||
\(991\) | −823.906 | − | 1427.05i | −0.831389 | − | 1.44001i | −0.896937 | − | 0.442158i | \(-0.854213\pi\) |
0.0655482 | − | 0.997849i | \(-0.479120\pi\) | |||||||
\(992\) | −227.488 | − | 848.998i | −0.229323 | − | 0.855844i | ||||
\(993\) | 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 | ||||
\(997\) | 1741.99 | + | 466.765i | 1.74723 | + | 0.468170i | 0.984032 | − | 0.177991i | \(-0.0569599\pi\) |
0.763201 | + | 0.646161i | \(0.223627\pi\) | |||||||
\(998\) | −392.150 | + | 1463.52i | −0.392936 | + | 1.46646i | ||||
\(999\) | 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.58.3 | yes | 64 | |
3.2 | odd | 2 | 315.3.ca.b.163.14 | 64 | |||
5.2 | odd | 4 | inner | 105.3.v.a.37.14 | ✓ | 64 | |
7.4 | even | 3 | inner | 105.3.v.a.88.14 | yes | 64 | |
15.2 | even | 4 | 315.3.ca.b.37.3 | 64 | |||
21.11 | odd | 6 | 315.3.ca.b.298.3 | 64 | |||
35.32 | odd | 12 | inner | 105.3.v.a.67.3 | yes | 64 | |
105.32 | even | 12 | 315.3.ca.b.172.14 | 64 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
105.3.v.a.37.14 | ✓ | 64 | 5.2 | odd | 4 | inner | |
105.3.v.a.58.3 | yes | 64 | 1.1 | even | 1 | trivial | |
105.3.v.a.67.3 | yes | 64 | 35.32 | odd | 12 | inner | |
105.3.v.a.88.14 | yes | 64 | 7.4 | even | 3 | inner | |
315.3.ca.b.37.3 | 64 | 15.2 | even | 4 | |||
315.3.ca.b.163.14 | 64 | 3.2 | odd | 2 | |||
315.3.ca.b.172.14 | 64 | 105.32 | even | 12 | |||
315.3.ca.b.298.3 | 64 | 21.11 | odd | 6 |