Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,2,Mod(4,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 9]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.z (of order \(30\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(2.29170653801\) |
Analytic rank: | \(0\) |
Dimension: | \(208\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{30})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{30}]$ |
Embedding invariants
Embedding label | 4.6 | ||
Character | \(\chi\) | \(=\) | 287.4 |
Dual form | 287.2.z.a.72.6 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{2}{3}\right)\) | \(e\left(\frac{3}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.78806 | − | 0.796097i | −1.26435 | − | 0.562926i | −0.338555 | − | 0.940947i | \(-0.609938\pi\) |
−0.925797 | + | 0.378021i | \(0.876605\pi\) | |||||||
\(3\) | −2.45203 | − | 1.41568i | −1.41568 | − | 0.817343i | −0.419764 | − | 0.907633i | \(-0.637887\pi\) |
−0.995915 | + | 0.0902904i | \(0.971220\pi\) | |||||||
\(4\) | 1.22514 | + | 1.36066i | 0.612570 | + | 0.680328i | ||||
\(5\) | −3.36959 | + | 0.716229i | −1.50693 | + | 0.320308i | −0.886046 | − | 0.463597i | \(-0.846559\pi\) |
−0.620882 | + | 0.783904i | \(0.713225\pi\) | |||||||
\(6\) | 3.25737 | + | 4.48338i | 1.32981 | + | 1.83033i | ||||
\(7\) | 2.05104 | + | 1.67130i | 0.775219 | + | 0.631693i | ||||
\(8\) | 0.102251 | + | 0.314698i | 0.0361514 | + | 0.111262i | ||||
\(9\) | 2.50830 | + | 4.34450i | 0.836099 | + | 1.44817i | ||||
\(10\) | 6.59524 | + | 1.40186i | 2.08560 | + | 0.443307i | ||||
\(11\) | −0.273910 | + | 1.28865i | −0.0825871 | + | 0.388542i | −0.999955 | − | 0.00949895i | \(-0.996976\pi\) |
0.917368 | + | 0.398041i | \(0.130310\pi\) | |||||||
\(12\) | −1.07783 | − | 5.07077i | −0.311141 | − | 1.46381i | ||||
\(13\) | −3.86136 | − | 5.31471i | −1.07095 | − | 1.47403i | −0.869112 | − | 0.494615i | \(-0.835309\pi\) |
−0.201837 | − | 0.979419i | \(-0.564691\pi\) | |||||||
\(14\) | −2.33686 | − | 4.62122i | −0.624553 | − | 1.23507i | ||||
\(15\) | 9.27629 | + | 3.01405i | 2.39513 | + | 0.778224i | ||||
\(16\) | 0.450469 | − | 4.28593i | 0.112617 | − | 1.07148i | ||||
\(17\) | −0.751439 | + | 3.53524i | −0.182251 | + | 0.857423i | 0.788067 | + | 0.615589i | \(0.211082\pi\) |
−0.970318 | + | 0.241833i | \(0.922251\pi\) | |||||||
\(18\) | −1.02635 | − | 9.76509i | −0.241913 | − | 2.30165i | ||||
\(19\) | −0.616319 | − | 0.0647778i | −0.141393 | − | 0.0148610i | 0.0335674 | − | 0.999436i | \(-0.489313\pi\) |
−0.174961 | + | 0.984575i | \(0.555980\pi\) | |||||||
\(20\) | −5.10276 | − | 3.70738i | −1.14101 | − | 0.828994i | ||||
\(21\) | −2.66317 | − | 7.00169i | −0.581152 | − | 1.52789i | ||||
\(22\) | 1.51566 | − | 2.08612i | 0.323139 | − | 0.444763i | ||||
\(23\) | −5.53130 | − | 2.46269i | −1.15336 | − | 0.513507i | −0.261222 | − | 0.965279i | \(-0.584126\pi\) |
−0.892134 | + | 0.451771i | \(0.850792\pi\) | |||||||
\(24\) | 0.194788 | − | 0.916403i | 0.0397608 | − | 0.187060i | ||||
\(25\) | 6.27345 | − | 2.79312i | 1.25469 | − | 0.558624i | ||||
\(26\) | 2.67334 | + | 12.5771i | 0.524284 | + | 2.46656i | ||||
\(27\) | − | 5.70970i | − | 1.09883i | ||||||
\(28\) | 0.238739 | + | 4.83833i | 0.0451175 | + | 0.914359i | ||||
\(29\) | 6.12381 | + | 1.98975i | 1.13716 | + | 0.369486i | 0.816294 | − | 0.577637i | \(-0.196025\pi\) |
0.320869 | + | 0.947124i | \(0.396025\pi\) | |||||||
\(30\) | −14.1871 | − | 12.7741i | −2.59020 | − | 2.33223i | ||||
\(31\) | 4.27978 | + | 0.909695i | 0.768671 | + | 0.163386i | 0.575525 | − | 0.817784i | \(-0.304798\pi\) |
0.193146 | + | 0.981170i | \(0.438131\pi\) | |||||||
\(32\) | −3.88659 | + | 6.73177i | −0.687058 | + | 1.19002i | ||||
\(33\) | 2.49595 | − | 2.77203i | 0.434489 | − | 0.482548i | ||||
\(34\) | 4.15802 | − | 5.72302i | 0.713094 | − | 0.981490i | ||||
\(35\) | −8.10819 | − | 4.16260i | −1.37054 | − | 0.703607i | ||||
\(36\) | −2.83835 | + | 8.73554i | −0.473058 | + | 1.45592i | ||||
\(37\) | 5.14974 | − | 1.09461i | 0.846612 | − | 0.179953i | 0.235872 | − | 0.971784i | \(-0.424205\pi\) |
0.610740 | + | 0.791831i | \(0.290872\pi\) | |||||||
\(38\) | 1.05045 | + | 0.606477i | 0.170405 | + | 0.0983835i | ||||
\(39\) | 1.94425 | + | 18.4983i | 0.311329 | + | 2.96209i | ||||
\(40\) | −0.569942 | − | 0.987168i | −0.0901157 | − | 0.156085i | ||||
\(41\) | 5.52945 | − | 3.22881i | 0.863555 | − | 0.504255i | ||||
\(42\) | −0.812107 | + | 14.6396i | −0.125311 | + | 2.25894i | ||||
\(43\) | 3.40007 | − | 2.47030i | 0.518506 | − | 0.376716i | −0.297535 | − | 0.954711i | \(-0.596164\pi\) |
0.816041 | + | 0.577994i | \(0.196164\pi\) | |||||||
\(44\) | −2.08898 | + | 1.20607i | −0.314926 | + | 0.181823i | ||||
\(45\) | −11.5636 | − | 12.8427i | −1.72380 | − | 1.91447i | ||||
\(46\) | 7.92978 | + | 8.80691i | 1.16918 | + | 1.29851i | ||||
\(47\) | 3.41877 | − | 7.67867i | 0.498678 | − | 1.12005i | −0.472421 | − | 0.881373i | \(-0.656620\pi\) |
0.971099 | − | 0.238676i | \(-0.0767135\pi\) | |||||||
\(48\) | −7.17206 | + | 9.87150i | −1.03520 | + | 1.42483i | ||||
\(49\) | 1.41350 | + | 6.85580i | 0.201928 | + | 0.979400i | ||||
\(50\) | −13.4409 | −1.90083 | ||||||||
\(51\) | 6.84732 | − | 7.60472i | 0.958817 | − | 1.06487i | ||||
\(52\) | 2.50078 | − | 11.7652i | 0.346796 | − | 1.63155i | ||||
\(53\) | 6.74490 | − | 6.07313i | 0.926483 | − | 0.834209i | −0.0599792 | − | 0.998200i | \(-0.519103\pi\) |
0.986462 | + | 0.163991i | \(0.0524368\pi\) | |||||||
\(54\) | −4.54548 | + | 10.2093i | −0.618561 | + | 1.38931i | ||||
\(55\) | − | 4.53840i | − | 0.611958i | ||||||
\(56\) | −0.316234 | + | 0.816350i | −0.0422585 | + | 0.109089i | ||||
\(57\) | 1.41953 | + | 1.03135i | 0.188021 | + | 0.136605i | ||||
\(58\) | −9.36572 | − | 8.43294i | −1.22978 | − | 1.10730i | ||||
\(59\) | −0.219122 | − | 2.08480i | −0.0285272 | − | 0.271418i | −0.999483 | − | 0.0321585i | \(-0.989762\pi\) |
0.970956 | − | 0.239260i | \(-0.0769048\pi\) | |||||||
\(60\) | 7.26367 | + | 16.3145i | 0.937736 | + | 2.10619i | ||||
\(61\) | −1.18714 | + | 11.2949i | −0.151998 | + | 1.44617i | 0.606807 | + | 0.794849i | \(0.292450\pi\) |
−0.758805 | + | 0.651318i | \(0.774217\pi\) | |||||||
\(62\) | −6.92831 | − | 5.03371i | −0.879897 | − | 0.639282i | ||||
\(63\) | −2.11636 | + | 13.1028i | −0.266636 | + | 1.65080i | ||||
\(64\) | 5.33564 | − | 3.87657i | 0.666955 | − | 0.484571i | ||||
\(65\) | 16.8178 | + | 15.1428i | 2.08599 | + | 1.87823i | ||||
\(66\) | −6.66972 | + | 2.96955i | −0.820985 | + | 0.365526i | ||||
\(67\) | −7.86853 | + | 7.08486i | −0.961294 | + | 0.865553i | −0.990981 | − | 0.134006i | \(-0.957216\pi\) |
0.0296861 | + | 0.999559i | \(0.490549\pi\) | |||||||
\(68\) | −5.73087 | + | 3.30872i | −0.694970 | + | 0.401241i | ||||
\(69\) | 10.0765 | + | 13.8691i | 1.21307 | + | 1.66965i | ||||
\(70\) | 11.1841 | + | 13.8979i | 1.33676 | + | 1.66112i | ||||
\(71\) | −3.20702 | + | 1.04202i | −0.380604 | + | 0.123666i | −0.493069 | − | 0.869990i | \(-0.664125\pi\) |
0.112466 | + | 0.993656i | \(0.464125\pi\) | |||||||
\(72\) | −1.11073 | + | 1.23359i | −0.130900 | + | 0.145380i | ||||
\(73\) | 1.57878 | − | 2.73454i | 0.184783 | − | 0.320053i | −0.758721 | − | 0.651416i | \(-0.774175\pi\) |
0.943503 | + | 0.331363i | \(0.107509\pi\) | |||||||
\(74\) | −10.0795 | − | 2.14246i | −1.17172 | − | 0.249056i | ||||
\(75\) | −19.3369 | − | 2.03239i | −2.23283 | − | 0.234680i | ||||
\(76\) | −0.666937 | − | 0.917960i | −0.0765029 | − | 0.105297i | ||||
\(77\) | −2.71552 | + | 2.18527i | −0.309462 | + | 0.249035i | ||||
\(78\) | 11.2500 | − | 34.6239i | 1.27381 | − | 3.92038i | ||||
\(79\) | −2.11276 | + | 1.21980i | −0.237704 | + | 0.137238i | −0.614121 | − | 0.789212i | \(-0.710489\pi\) |
0.376417 | + | 0.926450i | \(0.377156\pi\) | |||||||
\(80\) | 1.55181 | + | 14.7645i | 0.173497 | + | 1.65072i | ||||
\(81\) | −0.558214 | + | 0.966855i | −0.0620238 | + | 0.107428i | ||||
\(82\) | −12.4575 | + | 1.37134i | −1.37570 | + | 0.151439i | ||||
\(83\) | −0.515443 | −0.0565772 | −0.0282886 | − | 0.999600i | \(-0.509006\pi\) | ||||
−0.0282886 | + | 0.999600i | \(0.509006\pi\) | |||||||
\(84\) | 6.26413 | − | 12.2017i | 0.683473 | − | 1.33132i | ||||
\(85\) | − | 12.4505i | − | 1.35045i | ||||||
\(86\) | −8.04614 | + | 1.71026i | −0.867637 | + | 0.184422i | ||||
\(87\) | −12.1989 | − | 13.5483i | −1.30786 | − | 1.45253i | ||||
\(88\) | −0.433542 | + | 0.0455671i | −0.0462157 | + | 0.00485747i | ||||
\(89\) | 9.50557 | + | 0.999076i | 1.00759 | + | 0.105902i | 0.593919 | − | 0.804525i | \(-0.297580\pi\) |
0.413670 | + | 0.910427i | \(0.364247\pi\) | |||||||
\(90\) | 10.4524 | + | 32.1693i | 1.10178 | + | 3.39094i | ||||
\(91\) | 0.962691 | − | 17.3542i | 0.100917 | − | 1.81921i | ||||
\(92\) | −3.42574 | − | 10.5433i | −0.357158 | − | 1.09922i | ||||
\(93\) | −9.20631 | − | 8.28940i | −0.954650 | − | 0.859570i | ||||
\(94\) | −12.2259 | + | 11.0083i | −1.26101 | + | 1.13542i | ||||
\(95\) | 2.12314 | − | 0.223151i | 0.217830 | − | 0.0228948i | ||||
\(96\) | 19.0601 | − | 11.0043i | 1.94531 | − | 1.12312i | ||||
\(97\) | 9.40751 | + | 3.05668i | 0.955188 | + | 0.310359i | 0.744822 | − | 0.667263i | \(-0.232534\pi\) |
0.210366 | + | 0.977623i | \(0.432534\pi\) | |||||||
\(98\) | 2.93046 | − | 13.3839i | 0.296021 | − | 1.35198i | ||||
\(99\) | −6.28557 | + | 2.04231i | −0.631724 | + | 0.205259i | ||||
\(100\) | 11.4863 | + | 5.11404i | 1.14863 | + | 0.511404i | ||||
\(101\) | −0.842603 | − | 1.89252i | −0.0838421 | − | 0.188312i | 0.866759 | − | 0.498727i | \(-0.166199\pi\) |
−0.950601 | + | 0.310414i | \(0.899532\pi\) | |||||||
\(102\) | −18.2975 | + | 8.14659i | −1.81173 | + | 0.806633i | ||||
\(103\) | −0.652233 | + | 6.20558i | −0.0642664 | + | 0.611454i | 0.914231 | + | 0.405194i | \(0.132796\pi\) |
−0.978497 | + | 0.206260i | \(0.933871\pi\) | |||||||
\(104\) | 1.27770 | − | 1.75860i | 0.125288 | − | 0.172445i | ||||
\(105\) | 13.9886 | + | 21.6854i | 1.36515 | + | 2.11628i | ||||
\(106\) | −16.8951 | + | 5.48955i | −1.64100 | + | 0.533193i | ||||
\(107\) | 0.915101 | − | 8.70660i | 0.0884661 | − | 0.841699i | −0.856855 | − | 0.515558i | \(-0.827585\pi\) |
0.945321 | − | 0.326141i | \(-0.105749\pi\) | |||||||
\(108\) | 7.76893 | − | 6.99518i | 0.747566 | − | 0.673111i | ||||
\(109\) | 4.14909 | + | 2.39548i | 0.397411 | + | 0.229445i | 0.685366 | − | 0.728199i | \(-0.259642\pi\) |
−0.287955 | + | 0.957644i | \(0.592976\pi\) | |||||||
\(110\) | −3.61301 | + | 8.11495i | −0.344487 | + | 0.773730i | ||||
\(111\) | −14.1769 | − | 4.60636i | −1.34561 | − | 0.437216i | ||||
\(112\) | 8.08701 | − | 8.03772i | 0.764150 | − | 0.759493i | ||||
\(113\) | 2.31507 | + | 7.12504i | 0.217783 | + | 0.670268i | 0.998944 | + | 0.0459382i | \(0.0146277\pi\) |
−0.781161 | + | 0.624329i | \(0.785372\pi\) | |||||||
\(114\) | −1.71715 | − | 2.97420i | −0.160826 | − | 0.278559i | ||||
\(115\) | 20.4021 | + | 4.33660i | 1.90251 | + | 0.404390i | ||||
\(116\) | 4.79516 | + | 10.7701i | 0.445219 | + | 0.999979i | ||||
\(117\) | 13.4043 | − | 30.1065i | 1.23923 | − | 2.78335i | ||||
\(118\) | −1.26790 | + | 3.90221i | −0.116720 | + | 0.359227i | ||||
\(119\) | −7.44969 | + | 5.99503i | −0.682912 | + | 0.549564i | ||||
\(120\) | 3.22742i | 0.294622i | ||||||||
\(121\) | 8.46342 | + | 3.76816i | 0.769401 | + | 0.342560i | ||||
\(122\) | 11.1145 | − | 19.2510i | 1.00626 | − | 1.74290i | ||||
\(123\) | −18.1293 | + | 0.0892026i | −1.63467 | + | 0.00804313i | ||||
\(124\) | 4.00555 | + | 6.93781i | 0.359709 | + | 0.623034i | ||||
\(125\) | −5.20367 | + | 3.78069i | −0.465431 | + | 0.338155i | ||||
\(126\) | 14.2153 | − | 21.7439i | 1.26640 | − | 1.93710i | ||||
\(127\) | −1.21213 | + | 3.73055i | −0.107559 | + | 0.331033i | −0.990323 | − | 0.138785i | \(-0.955680\pi\) |
0.882763 | + | 0.469818i | \(0.155680\pi\) | |||||||
\(128\) | 2.58005 | − | 0.548406i | 0.228046 | − | 0.0484727i | ||||
\(129\) | −11.8342 | + | 1.24383i | −1.04194 | + | 0.109513i | ||||
\(130\) | −18.0161 | − | 40.4648i | −1.58012 | − | 3.54900i | ||||
\(131\) | 4.57584 | − | 5.08198i | 0.399793 | − | 0.444015i | −0.509312 | − | 0.860582i | \(-0.670100\pi\) |
0.909105 | + | 0.416567i | \(0.136767\pi\) | |||||||
\(132\) | 6.82966 | 0.594446 | ||||||||
\(133\) | −1.15583 | − | 1.16292i | −0.100223 | − | 0.100838i | ||||
\(134\) | 19.7097 | − | 6.40406i | 1.70266 | − | 0.553227i | ||||
\(135\) | 4.08945 | + | 19.2394i | 0.351964 | + | 1.65586i | ||||
\(136\) | −1.18937 | + | 0.125008i | −0.101988 | + | 0.0107193i | ||||
\(137\) | −2.00218 | − | 1.15596i | −0.171058 | − | 0.0987602i | 0.412027 | − | 0.911172i | \(-0.364821\pi\) |
−0.583084 | + | 0.812412i | \(0.698154\pi\) | |||||||
\(138\) | −6.97628 | − | 32.8208i | −0.593860 | − | 2.79389i | ||||
\(139\) | 1.26542 | + | 0.919385i | 0.107332 | + | 0.0779812i | 0.640157 | − | 0.768244i | \(-0.278869\pi\) |
−0.532825 | + | 0.846226i | \(0.678869\pi\) | |||||||
\(140\) | −4.26981 | − | 16.1322i | −0.360865 | − | 1.36342i | ||||
\(141\) | −19.2534 | + | 13.9885i | −1.62143 | + | 1.17804i | ||||
\(142\) | 6.56391 | + | 0.689895i | 0.550831 | + | 0.0578947i | ||||
\(143\) | 7.90645 | − | 3.52018i | 0.661170 | − | 0.294372i | ||||
\(144\) | 19.7501 | − | 8.79331i | 1.64584 | − | 0.732776i | ||||
\(145\) | −22.0599 | − | 2.31858i | −1.83197 | − | 0.192548i | ||||
\(146\) | −4.99992 | + | 3.63266i | −0.413797 | + | 0.300641i | ||||
\(147\) | 6.23968 | − | 18.8117i | 0.514640 | − | 1.55156i | ||||
\(148\) | 7.79853 | + | 5.66597i | 0.641036 | + | 0.465740i | ||||
\(149\) | −3.93135 | − | 18.4956i | −0.322069 | − | 1.51522i | −0.779745 | − | 0.626097i | \(-0.784651\pi\) |
0.457676 | − | 0.889119i | \(-0.348682\pi\) | |||||||
\(150\) | 32.9575 | + | 19.0280i | 2.69097 | + | 1.55363i | ||||
\(151\) | 17.7893 | − | 1.86973i | 1.44767 | − | 0.152157i | 0.652155 | − | 0.758085i | \(-0.273865\pi\) |
0.795519 | + | 0.605929i | \(0.207198\pi\) | |||||||
\(152\) | −0.0426342 | − | 0.200578i | −0.00345809 | − | 0.0162690i | ||||
\(153\) | −17.2437 | + | 5.60281i | −1.39407 | + | 0.452961i | ||||
\(154\) | 6.59521 | − | 1.74559i | 0.531457 | − | 0.140664i | ||||
\(155\) | −15.0727 | −1.21067 | ||||||||
\(156\) | −22.7878 | + | 25.3084i | −1.82448 | + | 2.02629i | ||||
\(157\) | 2.47658 | + | 5.56248i | 0.197652 | + | 0.443935i | 0.984995 | − | 0.172581i | \(-0.0552105\pi\) |
−0.787343 | + | 0.616515i | \(0.788544\pi\) | |||||||
\(158\) | 4.74882 | − | 0.499122i | 0.377796 | − | 0.0397080i | ||||
\(159\) | −25.1363 | + | 5.34288i | −1.99344 | + | 0.423718i | ||||
\(160\) | 8.27474 | − | 25.4670i | 0.654175 | − | 2.01334i | ||||
\(161\) | −7.22899 | − | 14.2956i | −0.569725 | − | 1.12665i | ||||
\(162\) | 1.76783 | − | 1.28441i | 0.138894 | − | 0.100912i | ||||
\(163\) | 5.96889 | + | 10.3384i | 0.467519 | + | 0.809767i | 0.999311 | − | 0.0371080i | \(-0.0118145\pi\) |
−0.531792 | + | 0.846875i | \(0.678481\pi\) | |||||||
\(164\) | 11.1676 | + | 3.56793i | 0.872046 | + | 0.278609i | ||||
\(165\) | −6.42492 | + | 11.1283i | −0.500179 | + | 0.866336i | ||||
\(166\) | 0.921644 | + | 0.410343i | 0.0715335 | + | 0.0318488i | ||||
\(167\) | 5.98160i | 0.462870i | 0.972850 | + | 0.231435i | \(0.0743421\pi\) | ||||
−0.972850 | + | 0.231435i | \(0.925658\pi\) | |||||||
\(168\) | 1.93110 | − | 1.55403i | 0.148988 | − | 0.119896i | ||||
\(169\) | −9.31878 | + | 28.6803i | −0.716830 | + | 2.20617i | ||||
\(170\) | −9.91184 | + | 22.2624i | −0.760203 | + | 1.70744i | ||||
\(171\) | −1.26448 | − | 2.84008i | −0.0966976 | − | 0.217186i | ||||
\(172\) | 7.52678 | + | 1.59987i | 0.573912 | + | 0.121989i | ||||
\(173\) | 11.9642 | + | 20.7226i | 0.909623 | + | 1.57551i | 0.814589 | + | 0.580038i | \(0.196962\pi\) |
0.0950334 | + | 0.995474i | \(0.469704\pi\) | |||||||
\(174\) | 11.0267 | + | 33.9367i | 0.835931 | + | 2.57273i | ||||
\(175\) | 17.5352 | + | 4.75604i | 1.32554 | + | 0.359523i | ||||
\(176\) | 5.39966 | + | 1.75446i | 0.407014 | + | 0.132247i | ||||
\(177\) | −2.41412 | + | 5.42221i | −0.181457 | + | 0.407558i | ||||
\(178\) | −16.2012 | − | 9.35377i | −1.21433 | − | 0.701095i | ||||
\(179\) | −10.7111 | + | 9.64433i | −0.800586 | + | 0.720851i | −0.964057 | − | 0.265697i | \(-0.914398\pi\) |
0.163470 | + | 0.986548i | \(0.447731\pi\) | |||||||
\(180\) | 3.30744 | − | 31.4681i | 0.246522 | − | 2.34550i | ||||
\(181\) | 11.0871 | − | 3.60242i | 0.824098 | − | 0.267766i | 0.133541 | − | 0.991043i | \(-0.457365\pi\) |
0.690557 | + | 0.723278i | \(0.257365\pi\) | |||||||
\(182\) | −15.5369 | + | 30.2639i | −1.15168 | + | 2.24331i | ||||
\(183\) | 18.9009 | − | 26.0149i | 1.39720 | − | 1.92307i | ||||
\(184\) | 0.209420 | − | 1.99250i | 0.0154387 | − | 0.146889i | ||||
\(185\) | −16.5685 | + | 7.37679i | −1.21814 | + | 0.542352i | ||||
\(186\) | 9.86230 | + | 22.1511i | 0.723139 | + | 1.62420i | ||||
\(187\) | −4.34985 | − | 1.93668i | −0.318093 | − | 0.141624i | ||||
\(188\) | 14.6365 | − | 4.75568i | 1.06748 | − | 0.346844i | ||||
\(189\) | 9.54263 | − | 11.7108i | 0.694124 | − | 0.851835i | ||||
\(190\) | −3.97396 | − | 1.29122i | −0.288302 | − | 0.0936748i | ||||
\(191\) | −9.80167 | + | 5.65900i | −0.709224 | + | 0.409471i | −0.810774 | − | 0.585360i | \(-0.800953\pi\) |
0.101550 | + | 0.994830i | \(0.467620\pi\) | |||||||
\(192\) | −18.5711 | + | 1.95190i | −1.34025 | + | 0.140866i | ||||
\(193\) | 8.81701 | − | 7.93887i | 0.634662 | − | 0.571453i | −0.287728 | − | 0.957712i | \(-0.592900\pi\) |
0.922390 | + | 0.386260i | \(0.126233\pi\) | |||||||
\(194\) | −14.3878 | − | 12.9548i | −1.03298 | − | 0.930103i | ||||
\(195\) | −19.8003 | − | 60.9391i | −1.41793 | − | 4.36394i | ||||
\(196\) | −7.59665 | + | 10.3226i | −0.542618 | + | 0.737328i | ||||
\(197\) | −1.44172 | − | 4.43716i | −0.102718 | − | 0.316135i | 0.886470 | − | 0.462786i | \(-0.153150\pi\) |
−0.989188 | + | 0.146652i | \(0.953150\pi\) | |||||||
\(198\) | 12.8649 | + | 1.35215i | 0.914267 | + | 0.0960933i | ||||
\(199\) | 4.18608 | − | 0.439975i | 0.296743 | − | 0.0311890i | 0.0450130 | − | 0.998986i | \(-0.485667\pi\) |
0.251730 | + | 0.967797i | \(0.419000\pi\) | |||||||
\(200\) | 1.52046 | + | 1.68864i | 0.107513 | + | 0.119405i | ||||
\(201\) | 29.3238 | − | 6.23296i | 2.06834 | − | 0.439639i | ||||
\(202\) | 4.05473i | 0.285290i | ||||||||
\(203\) | 9.23468 | + | 14.3158i | 0.648148 | + | 1.00477i | ||||
\(204\) | 18.7363 | 1.31181 | ||||||||
\(205\) | −16.3194 | + | 14.8401i | −1.13980 | + | 1.03648i | ||||
\(206\) | 6.10648 | − | 10.5767i | 0.425458 | − | 0.736916i | ||||
\(207\) | −3.17498 | − | 30.2079i | −0.220676 | − | 2.09959i | ||||
\(208\) | −24.5179 | + | 14.1554i | −1.70001 | + | 0.981500i | ||||
\(209\) | 0.252292 | − | 0.776475i | 0.0174514 | − | 0.0537099i | ||||
\(210\) | −7.74885 | − | 49.9112i | −0.534721 | − | 3.44420i | ||||
\(211\) | −9.07934 | − | 12.4966i | −0.625047 | − | 0.860304i | 0.372661 | − | 0.927968i | \(-0.378445\pi\) |
−0.997708 | + | 0.0676638i | \(0.978445\pi\) | |||||||
\(212\) | 16.5269 | + | 1.73704i | 1.13507 | + | 0.119301i | ||||
\(213\) | 9.33889 | + | 1.98504i | 0.639890 | + | 0.136013i | ||||
\(214\) | −8.56756 | + | 14.8394i | −0.585666 | + | 1.01440i | ||||
\(215\) | −9.68756 | + | 10.7591i | −0.660686 | + | 0.733766i | ||||
\(216\) | 1.79683 | − | 0.583825i | 0.122259 | − | 0.0397243i | ||||
\(217\) | 7.25761 | + | 9.01862i | 0.492679 | + | 0.612224i | ||||
\(218\) | −5.51180 | − | 7.58634i | −0.373306 | − | 0.513812i | ||||
\(219\) | −7.74245 | + | 4.47011i | −0.523186 | + | 0.302062i | ||||
\(220\) | 6.17520 | − | 5.56017i | 0.416332 | − | 0.374867i | ||||
\(221\) | 21.6904 | − | 9.65717i | 1.45905 | − | 0.649612i | ||||
\(222\) | 21.6821 | + | 19.5227i | 1.45521 | + | 1.31028i | ||||
\(223\) | −6.96484 | + | 5.06025i | −0.466400 | + | 0.338860i | −0.796037 | − | 0.605248i | \(-0.793074\pi\) |
0.329637 | + | 0.944108i | \(0.393074\pi\) | |||||||
\(224\) | −19.2224 | + | 7.31144i | −1.28435 | + | 0.488516i | ||||
\(225\) | 27.8704 | + | 20.2490i | 1.85803 | + | 1.34993i | ||||
\(226\) | 1.53274 | − | 14.5830i | 0.101956 | − | 0.970050i | ||||
\(227\) | 0.583121 | + | 1.30971i | 0.0387031 | + | 0.0869286i | 0.931862 | − | 0.362812i | \(-0.118183\pi\) |
−0.893159 | + | 0.449740i | \(0.851517\pi\) | |||||||
\(228\) | 0.335812 | + | 3.19503i | 0.0222397 | + | 0.211596i | ||||
\(229\) | −8.30352 | − | 7.47653i | −0.548712 | − | 0.494063i | 0.347505 | − | 0.937678i | \(-0.387029\pi\) |
−0.896217 | + | 0.443615i | \(0.853696\pi\) | |||||||
\(230\) | −33.0279 | − | 23.9962i | −2.17779 | − | 1.58226i | ||||
\(231\) | 9.75218 | − | 1.51405i | 0.641646 | − | 0.0996173i | ||||
\(232\) | 2.13060i | 0.139881i | ||||||||
\(233\) | 2.28332 | − | 5.12842i | 0.149585 | − | 0.335974i | −0.823175 | − | 0.567788i | \(-0.807799\pi\) |
0.972760 | + | 0.231814i | \(0.0744660\pi\) | |||||||
\(234\) | −47.9355 | + | 43.1613i | −3.13364 | + | 2.82154i | ||||
\(235\) | −6.02016 | + | 28.3226i | −0.392712 | + | 1.84756i | ||||
\(236\) | 2.56825 | − | 2.85233i | 0.167179 | − | 0.185671i | ||||
\(237\) | 6.90739 | 0.448683 | ||||||||
\(238\) | 18.0931 | − | 4.78882i | 1.17280 | − | 0.310413i | ||||
\(239\) | 5.73994 | − | 7.90035i | 0.371286 | − | 0.511031i | −0.581964 | − | 0.813215i | \(-0.697716\pi\) |
0.953250 | + | 0.302183i | \(0.0977155\pi\) | |||||||
\(240\) | 17.0967 | − | 38.3998i | 1.10359 | − | 2.47869i | ||||
\(241\) | −17.6267 | − | 19.5764i | −1.13543 | − | 1.26103i | −0.961057 | − | 0.276349i | \(-0.910876\pi\) |
−0.174377 | − | 0.984679i | \(-0.555791\pi\) | |||||||
\(242\) | −12.1333 | − | 13.4754i | −0.779959 | − | 0.866232i | ||||
\(243\) | −12.0967 | + | 6.98404i | −0.776005 | + | 0.448027i | ||||
\(244\) | −16.8229 | + | 12.2226i | −1.07698 | + | 0.782470i | ||||
\(245\) | −9.67324 | − | 22.0889i | −0.618001 | − | 1.41121i | ||||
\(246\) | 32.4874 | + | 14.2732i | 2.07132 | + | 0.910026i | ||||
\(247\) | 2.03556 | + | 3.52569i | 0.129519 | + | 0.224334i | ||||
\(248\) | 0.151335 | + | 1.43985i | 0.00960977 | + | 0.0914309i | ||||
\(249\) | 1.26388 | + | 0.729702i | 0.0800952 | + | 0.0462430i | ||||
\(250\) | 12.3143 | − | 2.61748i | 0.778824 | − | 0.165544i | ||||
\(251\) | −6.62654 | + | 20.3944i | −0.418264 | + | 1.28728i | 0.491035 | + | 0.871140i | \(0.336619\pi\) |
−0.909299 | + | 0.416143i | \(0.863381\pi\) | |||||||
\(252\) | −20.4213 | + | 13.1732i | −1.28642 | + | 0.829832i | ||||
\(253\) | 4.68862 | − | 6.45334i | 0.294771 | − | 0.405718i | ||||
\(254\) | 5.13725 | − | 5.70549i | 0.322340 | − | 0.357994i | ||||
\(255\) | −17.6260 | + | 30.5291i | −1.10378 | + | 1.91181i | ||||
\(256\) | −17.9520 | − | 3.81583i | −1.12200 | − | 0.238489i | ||||
\(257\) | 9.94067 | + | 8.95062i | 0.620082 | + | 0.558324i | 0.918156 | − | 0.396218i | \(-0.129678\pi\) |
−0.298074 | + | 0.954543i | \(0.596344\pi\) | |||||||
\(258\) | 22.1505 | + | 7.19715i | 1.37903 | + | 0.448075i | ||||
\(259\) | 12.3917 | + | 6.36168i | 0.769984 | + | 0.395296i | ||||
\(260\) | 41.4352i | 2.56970i | ||||||||
\(261\) | 6.71588 | + | 31.5957i | 0.415702 | + | 1.95573i | ||||
\(262\) | −12.2276 | + | 5.44409i | −0.755426 | + | 0.336337i | ||||
\(263\) | 3.31725 | − | 15.6064i | 0.204550 | − | 0.962333i | −0.749342 | − | 0.662183i | \(-0.769630\pi\) |
0.953892 | − | 0.300150i | \(-0.0970366\pi\) | |||||||
\(264\) | 1.12757 | + | 0.502025i | 0.0693969 | + | 0.0308975i | ||||
\(265\) | −18.3778 | + | 25.2949i | −1.12894 | + | 1.55385i | ||||
\(266\) | 1.14090 | + | 2.99952i | 0.0699532 | + | 0.183913i | ||||
\(267\) | −21.8936 | − | 15.9066i | −1.33986 | − | 0.973468i | ||||
\(268\) | −19.2801 | − | 2.02642i | −1.17772 | − | 0.123783i | ||||
\(269\) | −1.66913 | − | 15.8807i | −0.101769 | − | 0.968266i | −0.919613 | − | 0.392826i | \(-0.871498\pi\) |
0.817844 | − | 0.575440i | \(-0.195169\pi\) | |||||||
\(270\) | 8.00420 | − | 37.6568i | 0.487120 | − | 2.29172i | ||||
\(271\) | 2.21680 | − | 21.0915i | 0.134661 | − | 1.28122i | −0.693390 | − | 0.720563i | \(-0.743883\pi\) |
0.828051 | − | 0.560653i | \(-0.189450\pi\) | |||||||
\(272\) | 14.8133 | + | 4.81313i | 0.898188 | + | 0.291839i | ||||
\(273\) | −26.9285 | + | 41.1900i | −1.62979 | + | 2.49293i | ||||
\(274\) | 2.65977 | + | 3.66086i | 0.160682 | + | 0.221160i | ||||
\(275\) | 1.88098 | + | 8.84933i | 0.113428 | + | 0.533635i | ||||
\(276\) | −6.52598 | + | 30.7023i | −0.392818 | + | 1.84806i | ||||
\(277\) | 22.2648 | + | 4.73253i | 1.33776 | + | 0.284350i | 0.820583 | − | 0.571528i | \(-0.193649\pi\) |
0.517179 | + | 0.855878i | \(0.326982\pi\) | |||||||
\(278\) | −1.53074 | − | 2.65132i | −0.0918077 | − | 0.159016i | ||||
\(279\) | 6.78279 | + | 20.8753i | 0.406075 | + | 1.24977i | ||||
\(280\) | 0.480885 | − | 2.97726i | 0.0287384 | − | 0.177925i | ||||
\(281\) | 1.51260 | + | 2.08192i | 0.0902342 | + | 0.124197i | 0.851747 | − | 0.523953i | \(-0.175543\pi\) |
−0.761513 | + | 0.648149i | \(0.775543\pi\) | |||||||
\(282\) | 45.5626 | − | 9.68462i | 2.71321 | − | 0.576711i | ||||
\(283\) | 2.01845 | + | 2.24172i | 0.119984 | + | 0.133256i | 0.800144 | − | 0.599808i | \(-0.204756\pi\) |
−0.680160 | + | 0.733064i | \(0.738090\pi\) | |||||||
\(284\) | −5.34689 | − | 3.08703i | −0.317279 | − | 0.183181i | ||||
\(285\) | −5.52191 | − | 2.45851i | −0.327090 | − | 0.145630i | ||||
\(286\) | −16.9396 | −1.00166 | ||||||||
\(287\) | 16.7374 | + | 2.61898i | 0.987978 | + | 0.154593i | ||||
\(288\) | −38.9949 | −2.29779 | ||||||||
\(289\) | 3.59698 | + | 1.60148i | 0.211587 | + | 0.0942047i | ||||
\(290\) | 37.5986 | + | 21.7076i | 2.20787 | + | 1.27471i | ||||
\(291\) | −18.7402 | − | 20.8131i | −1.09857 | − | 1.22008i | ||||
\(292\) | 5.65499 | − | 1.20201i | 0.330933 | − | 0.0703421i | ||||
\(293\) | 11.4468 | + | 15.7552i | 0.668731 | + | 0.920429i | 0.999731 | − | 0.0232018i | \(-0.00738602\pi\) |
−0.331000 | + | 0.943631i | \(0.607386\pi\) | |||||||
\(294\) | −26.1329 | + | 28.6691i | −1.52410 | + | 1.67202i | ||||
\(295\) | 2.23155 | + | 6.86800i | 0.129926 | + | 0.399871i | ||||
\(296\) | 0.871040 | + | 1.50868i | 0.0506282 | + | 0.0876905i | ||||
\(297\) | 7.35779 | + | 1.56395i | 0.426942 | + | 0.0907493i | ||||
\(298\) | −7.69476 | + | 36.2010i | −0.445745 | + | 2.09707i | ||||
\(299\) | 8.26985 | + | 38.9066i | 0.478258 | + | 2.25003i | ||||
\(300\) | −20.9250 | − | 28.8007i | −1.20810 | − | 1.66281i | ||||
\(301\) | 11.1023 | + | 0.615879i | 0.639925 | + | 0.0354987i | ||||
\(302\) | −33.2969 | − | 10.8188i | −1.91602 | − | 0.622553i | ||||
\(303\) | −0.613111 | + | 5.83336i | −0.0352223 | + | 0.335118i | ||||
\(304\) | −0.555266 | + | 2.61232i | −0.0318467 | + | 0.149827i | ||||
\(305\) | −4.08956 | − | 38.9096i | −0.234168 | − | 2.22796i | ||||
\(306\) | 35.2932 | + | 3.70946i | 2.01758 | + | 0.212056i | ||||
\(307\) | −27.3906 | − | 19.9004i | −1.56326 | − | 1.13578i | −0.933270 | − | 0.359175i | \(-0.883058\pi\) |
−0.629992 | − | 0.776601i | \(-0.716942\pi\) | |||||||
\(308\) | −6.30029 | − | 1.01762i | −0.358993 | − | 0.0579842i | ||||
\(309\) | 10.3844 | − | 14.2929i | 0.590748 | − | 0.813095i | ||||
\(310\) | 26.9509 | + | 11.9993i | 1.53071 | + | 0.681515i | ||||
\(311\) | 0.943024 | − | 4.43658i | 0.0534740 | − | 0.251575i | −0.943289 | − | 0.331973i | \(-0.892286\pi\) |
0.996763 | + | 0.0803977i | \(0.0256190\pi\) | |||||||
\(312\) | −5.62256 | + | 2.50332i | −0.318315 | + | 0.141723i | ||||
\(313\) | 0.566830 | + | 2.66673i | 0.0320391 | + | 0.150732i | 0.991259 | − | 0.131928i | \(-0.0421166\pi\) |
−0.959220 | + | 0.282660i | \(0.908783\pi\) | |||||||
\(314\) | − | 11.9177i | − | 0.672553i | ||||||
\(315\) | −2.25336 | − | 45.6671i | −0.126963 | − | 2.57305i | ||||
\(316\) | −4.24815 | − | 1.38031i | −0.238977 | − | 0.0776484i | ||||
\(317\) | −0.800440 | − | 0.720719i | −0.0449572 | − | 0.0404796i | 0.646346 | − | 0.763045i | \(-0.276296\pi\) |
−0.691303 | + | 0.722565i | \(0.742963\pi\) | |||||||
\(318\) | 49.1987 | + | 10.4575i | 2.75893 | + | 0.586428i | ||||
\(319\) | −4.24145 | + | 7.34641i | −0.237476 | + | 0.411320i | ||||
\(320\) | −15.2024 | + | 16.8840i | −0.849841 | + | 0.943844i | ||||
\(321\) | −14.5696 | + | 20.0533i | −0.813196 | + | 1.11927i | ||||
\(322\) | 1.54525 | + | 31.3163i | 0.0861135 | + | 1.74519i | ||||
\(323\) | 0.692132 | − | 2.13016i | 0.0385112 | − | 0.118525i | ||||
\(324\) | −1.99945 | + | 0.424996i | −0.111080 | + | 0.0236109i | ||||
\(325\) | −39.0687 | − | 22.5563i | −2.16714 | − | 1.25120i | ||||
\(326\) | −2.44237 | − | 23.2376i | −0.135270 | − | 1.28701i | ||||
\(327\) | −6.78246 | − | 11.7476i | −0.375071 | − | 0.649642i | ||||
\(328\) | 1.58149 | + | 1.40995i | 0.0873233 | + | 0.0778517i | ||||
\(329\) | 19.8454 | − | 10.0354i | 1.09411 | − | 0.553272i | ||||
\(330\) | 20.3474 | − | 14.7832i | 1.12009 | − | 0.813790i | ||||
\(331\) | 18.9087 | − | 10.9169i | 1.03932 | − | 0.600049i | 0.119676 | − | 0.992813i | \(-0.461814\pi\) |
0.919639 | + | 0.392764i | \(0.128481\pi\) | |||||||
\(332\) | −0.631489 | − | 0.701340i | −0.0346575 | − | 0.0384910i | ||||
\(333\) | 17.6726 | + | 19.6274i | 0.968452 | + | 1.07558i | ||||
\(334\) | 4.76194 | − | 10.6955i | 0.260562 | − | 0.585231i | ||||
\(335\) | 21.4394 | − | 29.5088i | 1.17136 | − | 1.61224i | ||||
\(336\) | −31.2084 | + | 8.26011i | −1.70256 | + | 0.450626i | ||||
\(337\) | −26.6816 | −1.45344 | −0.726718 | − | 0.686936i | \(-0.758955\pi\) | ||||
−0.726718 | + | 0.686936i | \(0.758955\pi\) | |||||||
\(338\) | 39.4949 | − | 43.8635i | 2.14824 | − | 2.38586i | ||||
\(339\) | 4.41017 | − | 20.7482i | 0.239527 | − | 1.12689i | ||||
\(340\) | 16.9409 | − | 15.2537i | 0.918749 | − | 0.827245i | ||||
\(341\) | −2.34455 | + | 5.26595i | −0.126965 | + | 0.285167i | ||||
\(342\) | 6.08490i | 0.329033i | ||||||||
\(343\) | −8.55898 | + | 16.4239i | −0.462142 | + | 0.886806i | ||||
\(344\) | 1.12506 | + | 0.817403i | 0.0606591 | + | 0.0440714i | ||||
\(345\) | −43.8873 | − | 39.5163i | −2.36281 | − | 2.12749i | ||||
\(346\) | −4.89555 | − | 46.5781i | −0.263186 | − | 2.50405i | ||||
\(347\) | 7.52769 | + | 16.9075i | 0.404108 | + | 0.907640i | 0.994905 | + | 0.100820i | \(0.0321467\pi\) |
−0.590797 | + | 0.806820i | \(0.701187\pi\) | |||||||
\(348\) | 3.48915 | − | 33.1970i | 0.187038 | − | 1.77955i | ||||
\(349\) | 2.97431 | + | 2.16096i | 0.159211 | + | 0.115674i | 0.664538 | − | 0.747254i | \(-0.268628\pi\) |
−0.505327 | + | 0.862928i | \(0.668628\pi\) | |||||||
\(350\) | −27.5678 | − | 22.4639i | −1.47356 | − | 1.20074i | ||||
\(351\) | −30.3454 | + | 22.0472i | −1.61972 | + | 1.17679i | ||||
\(352\) | −7.61030 | − | 6.85234i | −0.405630 | − | 0.365231i | ||||
\(353\) | −23.1632 | + | 10.3129i | −1.23285 | + | 0.548901i | −0.916612 | − | 0.399778i | \(-0.869087\pi\) |
−0.316241 | + | 0.948679i | \(0.602421\pi\) | |||||||
\(354\) | 8.63321 | − | 7.77338i | 0.458850 | − | 0.413150i | ||||
\(355\) | 10.0600 | − | 5.80816i | 0.533931 | − | 0.308265i | ||||
\(356\) | 10.2863 | + | 14.1578i | 0.545170 | + | 0.750363i | ||||
\(357\) | 26.7539 | − | 4.15361i | 1.41597 | − | 0.219833i | ||||
\(358\) | 26.8300 | − | 8.71759i | 1.41801 | − | 0.460739i | ||||
\(359\) | 0.594874 | − | 0.660674i | 0.0313962 | − | 0.0348690i | −0.727242 | − | 0.686381i | \(-0.759198\pi\) |
0.758638 | + | 0.651512i | \(0.225865\pi\) | |||||||
\(360\) | 2.85917 | − | 4.95222i | 0.150691 | − | 0.261005i | ||||
\(361\) | −18.2092 | − | 3.87047i | −0.958376 | − | 0.203709i | ||||
\(362\) | −22.6923 | − | 2.38506i | −1.19268 | − | 0.125356i | ||||
\(363\) | −15.4180 | − | 21.2211i | −0.809237 | − | 1.11382i | ||||
\(364\) | 24.7925 | − | 19.9514i | 1.29948 | − | 1.04574i | ||||
\(365\) | −3.36131 | + | 10.3450i | −0.175939 | + | 0.541485i | ||||
\(366\) | −54.5064 | + | 31.4693i | −2.84909 | + | 1.64493i | ||||
\(367\) | −2.05708 | − | 19.5718i | −0.107379 | − | 1.02164i | −0.906999 | − | 0.421133i | \(-0.861632\pi\) |
0.799620 | − | 0.600506i | \(-0.205034\pi\) | |||||||
\(368\) | −13.0466 | + | 22.5974i | −0.680101 | + | 1.17797i | ||||
\(369\) | 27.8970 | + | 15.9239i | 1.45226 | + | 0.828963i | ||||
\(370\) | 35.4982 | 1.84546 | ||||||||
\(371\) | 23.9841 | − | 1.18345i | 1.24519 | − | 0.0614418i | ||||
\(372\) | − | 22.6823i | − | 1.17602i | ||||||
\(373\) | 21.7579 | − | 4.62478i | 1.12658 | − | 0.239462i | 0.393314 | − | 0.919404i | \(-0.371329\pi\) |
0.733265 | + | 0.679942i | \(0.237995\pi\) | |||||||
\(374\) | 6.23603 | + | 6.92581i | 0.322457 | + | 0.358125i | ||||
\(375\) | 18.1118 | − | 1.90363i | 0.935289 | − | 0.0983029i | ||||
\(376\) | 2.76603 | + | 0.290722i | 0.142647 | + | 0.0149928i | ||||
\(377\) | −13.0713 | − | 40.2294i | −0.673207 | − | 2.07192i | ||||
\(378\) | −26.3858 | + | 13.3428i | −1.35714 | + | 0.686279i | ||||
\(379\) | 7.20197 | + | 22.1654i | 0.369940 | + | 1.13856i | 0.946829 | + | 0.321737i | \(0.104267\pi\) |
−0.576889 | + | 0.816823i | \(0.695733\pi\) | |||||||
\(380\) | 2.90478 | + | 2.61547i | 0.149012 | + | 0.134171i | ||||
\(381\) | 8.25344 | − | 7.43143i | 0.422837 | − | 0.380724i | ||||
\(382\) | 22.0311 | − | 2.31556i | 1.12721 | − | 0.118475i | ||||
\(383\) | 20.0978 | − | 11.6035i | 1.02695 | − | 0.592909i | 0.110839 | − | 0.993838i | \(-0.464646\pi\) |
0.916109 | + | 0.400929i | \(0.131313\pi\) | |||||||
\(384\) | −7.10271 | − | 2.30781i | −0.362459 | − | 0.117770i | ||||
\(385\) | 7.58504 | − | 9.30842i | 0.386569 | − | 0.474401i | ||||
\(386\) | −22.0855 | + | 7.17601i | −1.12412 | + | 0.365249i | ||||
\(387\) | 19.2606 | + | 8.57536i | 0.979070 | + | 0.435910i | ||||
\(388\) | 7.36642 | + | 16.5452i | 0.373973 | + | 0.839957i | ||||
\(389\) | 5.75114 | − | 2.56057i | 0.291594 | − | 0.129826i | −0.255726 | − | 0.966749i | \(-0.582315\pi\) |
0.547320 | + | 0.836923i | \(0.315648\pi\) | |||||||
\(390\) | −13.1092 | + | 124.726i | −0.663812 | + | 6.31575i | ||||
\(391\) | 12.8627 | − | 17.7039i | 0.650493 | − | 0.895327i | ||||
\(392\) | −2.01297 | + | 1.14584i | −0.101670 | + | 0.0578737i | ||||
\(393\) | −18.4145 | + | 5.98325i | −0.928891 | + | 0.301815i | ||||
\(394\) | −0.954523 | + | 9.08168i | −0.0480882 | + | 0.457528i | ||||
\(395\) | 6.24548 | − | 5.62345i | 0.314244 | − | 0.282947i | ||||
\(396\) | −10.4796 | − | 6.05039i | −0.526619 | − | 0.304043i | ||||
\(397\) | 10.6867 | − | 24.0028i | 0.536351 | − | 1.20466i | −0.418673 | − | 0.908137i | \(-0.637505\pi\) |
0.955024 | − | 0.296528i | \(-0.0958287\pi\) | |||||||
\(398\) | −7.83524 | − | 2.54582i | −0.392745 | − | 0.127611i | ||||
\(399\) | 1.18781 | + | 4.48779i | 0.0594649 | + | 0.224671i | ||||
\(400\) | −9.14512 | − | 28.1458i | −0.457256 | − | 1.40729i | ||||
\(401\) | −10.2279 | − | 17.7152i | −0.510757 | − | 0.884657i | −0.999922 | − | 0.0124656i | \(-0.996032\pi\) |
0.489166 | − | 0.872191i | \(-0.337301\pi\) | |||||||
\(402\) | −57.3948 | − | 12.1996i | −2.86259 | − | 0.608463i | ||||
\(403\) | −11.6910 | − | 26.2584i | −0.582371 | − | 1.30803i | ||||
\(404\) | 1.54276 | − | 3.46509i | 0.0767551 | − | 0.172395i | ||||
\(405\) | 1.18847 | − | 3.65772i | 0.0590553 | − | 0.181754i | ||||
\(406\) | −5.11545 | − | 32.9492i | −0.253876 | − | 1.63524i | ||||
\(407\) | 6.93602i | 0.343806i | ||||||||
\(408\) | 3.09334 | + | 1.37724i | 0.153143 | + | 0.0681837i | ||||
\(409\) | −12.7895 | + | 22.1521i | −0.632402 | + | 1.09535i | 0.354658 | + | 0.934996i | \(0.384597\pi\) |
−0.987059 | + | 0.160355i | \(0.948736\pi\) | |||||||
\(410\) | 40.9944 | − | 13.5432i | 2.02457 | − | 0.668853i | ||||
\(411\) | 3.27293 | + | 5.66889i | 0.161442 | + | 0.279626i | ||||
\(412\) | −9.24273 | + | 6.71524i | −0.455357 | + | 0.330836i | ||||
\(413\) | 3.03491 | − | 4.64223i | 0.149338 | − | 0.228429i | ||||
\(414\) | −18.3714 | + | 56.5412i | −0.902903 | + | 2.77885i | ||||
\(415\) | 1.73683 | − | 0.369175i | 0.0852578 | − | 0.0181221i | ||||
\(416\) | 50.7849 | − | 5.33771i | 2.48993 | − | 0.261703i | ||||
\(417\) | −1.80130 | − | 4.04579i | −0.0882102 | − | 0.198123i | ||||
\(418\) | −1.06926 | + | 1.18754i | −0.0522994 | + | 0.0580843i | ||||
\(419\) | 19.1723 | 0.936628 | 0.468314 | − | 0.883562i | \(-0.344862\pi\) | ||||
0.468314 | + | 0.883562i | \(0.344862\pi\) | |||||||
\(420\) | −12.3684 | + | 45.6014i | −0.603514 | + | 2.22512i | ||||
\(421\) | 26.6573 | − | 8.66147i | 1.29920 | − | 0.422134i | 0.423894 | − | 0.905712i | \(-0.360663\pi\) |
0.875302 | + | 0.483577i | \(0.160663\pi\) | |||||||
\(422\) | 6.28590 | + | 29.5728i | 0.305993 | + | 1.43958i | ||||
\(423\) | 41.9352 | − | 4.40757i | 2.03896 | − | 0.214304i | ||||
\(424\) | 2.60088 | + | 1.50162i | 0.126310 | + | 0.0729250i | ||||
\(425\) | 5.16025 | + | 24.2770i | 0.250309 | + | 1.17761i | ||||
\(426\) | −15.1182 | − | 10.9840i | −0.732481 | − | 0.532179i | ||||
\(427\) | −21.3121 | + | 21.1822i | −1.03137 | + | 1.02508i | ||||
\(428\) | 12.9678 | − | 9.42166i | 0.626823 | − | 0.455413i | ||||
\(429\) | −24.3703 | − | 2.56142i | −1.17661 | − | 0.123666i | ||||
\(430\) | 25.8873 | − | 11.5258i | 1.24840 | − | 0.555821i | ||||
\(431\) | 15.1310 | − | 6.73674i | 0.728833 | − | 0.324497i | −0.00855838 | − | 0.999963i | \(-0.502724\pi\) |
0.737391 | + | 0.675466i | \(0.236058\pi\) | |||||||
\(432\) | −24.4714 | − | 2.57204i | −1.17738 | − | 0.123747i | ||||
\(433\) | 3.36612 | − | 2.44563i | 0.161766 | − | 0.117530i | −0.503958 | − | 0.863728i | \(-0.668123\pi\) |
0.665723 | + | 0.746199i | \(0.268123\pi\) | |||||||
\(434\) | −5.79736 | − | 21.9036i | −0.278282 | − | 1.05141i | ||||
\(435\) | 50.8090 | + | 36.9149i | 2.43611 | + | 1.76993i | ||||
\(436\) | 1.82379 | + | 8.58027i | 0.0873439 | + | 0.410921i | ||||
\(437\) | 3.24952 | + | 1.87611i | 0.155446 | + | 0.0897466i | ||||
\(438\) | 17.4026 | − | 1.82909i | 0.831530 | − | 0.0873973i | ||||
\(439\) | 4.46648 | + | 21.0131i | 0.213173 | + | 1.00290i | 0.946420 | + | 0.322939i | \(0.104671\pi\) |
−0.733247 | + | 0.679963i | \(0.761996\pi\) | |||||||
\(440\) | 1.42822 | − | 0.464058i | 0.0680879 | − | 0.0221231i | ||||
\(441\) | −26.2395 | + | 23.3373i | −1.24950 | + | 1.11130i | ||||
\(442\) | −46.4718 | −2.21044 | ||||||||
\(443\) | −6.32861 | + | 7.02864i | −0.300681 | + | 0.333941i | −0.874485 | − | 0.485052i | \(-0.838801\pi\) |
0.573804 | + | 0.818993i | \(0.305467\pi\) | |||||||
\(444\) | −11.1010 | − | 24.9333i | −0.526832 | − | 1.18328i | ||||
\(445\) | −32.7455 | + | 3.44169i | −1.55228 | + | 0.163152i | ||||
\(446\) | 16.4820 | − | 3.50336i | 0.780447 | − | 0.165889i | ||||
\(447\) | −16.5440 | + | 50.9172i | −0.782504 | + | 2.40830i | ||||
\(448\) | 17.4225 | + | 0.966483i | 0.823136 | + | 0.0456620i | ||||
\(449\) | 15.2539 | − | 11.0826i | 0.719876 | − | 0.523021i | −0.166469 | − | 0.986047i | \(-0.553236\pi\) |
0.886345 | + | 0.463026i | \(0.153236\pi\) | |||||||
\(450\) | −33.7138 | − | 58.3941i | −1.58929 | − | 2.75272i | ||||
\(451\) | 2.64622 | + | 8.00991i | 0.124606 | + | 0.377172i | ||||
\(452\) | −6.85845 | + | 11.8792i | −0.322594 | + | 0.558750i | ||||
\(453\) | −46.2669 | − | 20.5993i | −2.17381 | − | 0.967841i | ||||
\(454\) | − | 2.80607i | − | 0.131695i | ||||||
\(455\) | 9.18568 | + | 59.1660i | 0.430631 | + | 2.77374i | ||||
\(456\) | −0.179414 | + | 0.552179i | −0.00840182 | + | 0.0258582i | ||||
\(457\) | 5.13419 | − | 11.5316i | 0.240167 | − | 0.539424i | −0.752740 | − | 0.658318i | \(-0.771268\pi\) |
0.992907 | + | 0.118894i | \(0.0379348\pi\) | |||||||
\(458\) | 8.89519 | + | 19.9789i | 0.415645 | + | 0.933553i | ||||
\(459\) | 20.1852 | + | 4.29049i | 0.942164 | + | 0.200263i | ||||
\(460\) | 19.0948 | + | 33.0732i | 0.890300 | + | 1.54204i | ||||
\(461\) | −7.16023 | − | 22.0369i | −0.333485 | − | 1.02636i | −0.967464 | − | 0.253011i | \(-0.918579\pi\) |
0.633979 | − | 0.773351i | \(-0.281421\pi\) | |||||||
\(462\) | −18.6428 | − | 5.05646i | −0.867344 | − | 0.235248i | ||||
\(463\) | −31.2404 | − | 10.1506i | −1.45186 | − | 0.471739i | −0.526290 | − | 0.850305i | \(-0.676417\pi\) |
−0.925574 | + | 0.378566i | \(0.876417\pi\) | |||||||
\(464\) | 11.2865 | − | 25.3499i | 0.523962 | − | 1.17684i | ||||
\(465\) | 36.9586 | + | 21.3381i | 1.71392 | + | 0.989529i | ||||
\(466\) | −8.16545 | + | 7.35220i | −0.378257 | + | 0.340584i | ||||
\(467\) | −2.66756 | + | 25.3801i | −0.123440 | + | 1.17445i | 0.740925 | + | 0.671587i | \(0.234387\pi\) |
−0.864365 | + | 0.502864i | \(0.832280\pi\) | |||||||
\(468\) | 57.3867 | − | 18.6461i | 2.65270 | − | 0.861916i | ||||
\(469\) | −27.9796 | + | 1.38061i | −1.29198 | + | 0.0637504i | ||||
\(470\) | 33.3120 | − | 45.8500i | 1.53657 | − | 2.11490i | ||||
\(471\) | 1.80206 | − | 17.1454i | 0.0830343 | − | 0.790019i | ||||
\(472\) | 0.633678 | − | 0.282132i | 0.0291674 | − | 0.0129862i | ||||
\(473\) | 2.25202 | + | 5.05813i | 0.103548 | + | 0.232573i | ||||
\(474\) | −12.3508 | − | 5.49895i | −0.567293 | − | 0.252575i | ||||
\(475\) | −4.04738 | + | 1.31507i | −0.185707 | + | 0.0603397i | ||||
\(476\) | −17.2841 | − | 2.79171i | −0.792215 | − | 0.127958i | ||||
\(477\) | 43.3029 | + | 14.0700i | 1.98270 | + | 0.644219i | ||||
\(478\) | −16.5528 | + | 9.55678i | −0.757109 | + | 0.437117i | ||||
\(479\) | −7.72412 | + | 0.811838i | −0.352924 | + | 0.0370938i | −0.279332 | − | 0.960195i | \(-0.590113\pi\) |
−0.0735922 | + | 0.997288i | \(0.523446\pi\) | |||||||
\(480\) | −56.3430 | + | 50.7315i | −2.57170 | + | 2.31557i | ||||
\(481\) | −25.7025 | − | 23.1427i | −1.17193 | − | 1.05521i | ||||
\(482\) | 15.9329 | + | 49.0364i | 0.725724 | + | 2.23355i | ||||
\(483\) | −2.51222 | + | 45.2870i | −0.114310 | + | 2.06063i | ||||
\(484\) | 5.24171 | + | 16.1323i | 0.238259 | + | 0.733287i | ||||
\(485\) | −33.8888 | − | 3.56185i | −1.53881 | − | 0.161735i | ||||
\(486\) | 27.1897 | − | 2.85775i | 1.23335 | − | 0.129630i | ||||
\(487\) | −11.4496 | − | 12.7161i | −0.518831 | − | 0.576221i | 0.425607 | − | 0.904908i | \(-0.360060\pi\) |
−0.944439 | + | 0.328687i | \(0.893394\pi\) | |||||||
\(488\) | −3.67587 | + | 0.781331i | −0.166399 | + | 0.0353692i | ||||
\(489\) | − | 33.8001i | − | 1.52849i | ||||||
\(490\) | −0.288526 | + | 47.1972i | −0.0130343 | + | 2.13215i | ||||
\(491\) | −23.5804 | −1.06417 | −0.532085 | − | 0.846691i | \(-0.678591\pi\) | ||||
−0.532085 | + | 0.846691i | \(0.678591\pi\) | |||||||
\(492\) | −22.3323 | − | 24.5585i | −1.00682 | − | 1.10718i | ||||
\(493\) | −11.6359 | + | 20.1540i | −0.524055 | + | 0.907689i | ||||
\(494\) | −0.832915 | − | 7.92465i | −0.0374746 | − | 0.356547i | ||||
\(495\) | 19.7171 | − | 11.3837i | 0.886216 | − | 0.511657i | ||||
\(496\) | 5.82680 | − | 17.9330i | 0.261631 | − | 0.805217i | ||||
\(497\) | −8.31926 | − | 3.22267i | −0.373170 | − | 0.144557i | ||||
\(498\) | −1.67899 | − | 2.31092i | −0.0752371 | − | 0.103555i | ||||
\(499\) | −3.64924 | − | 0.383551i | −0.163362 | − | 0.0171701i | 0.0224941 | − | 0.999747i | \(-0.492839\pi\) |
−0.185857 | + | 0.982577i | \(0.559506\pi\) | |||||||
\(500\) | −11.5194 | − | 2.44853i | −0.515165 | − | 0.109502i | ||||
\(501\) | 8.46803 | − | 14.6671i | 0.378324 | − | 0.655276i | ||||
\(502\) | 28.0846 | − | 31.1911i | 1.25348 | − | 1.39213i | ||||
\(503\) | 33.8577 | − | 11.0010i | 1.50964 | − | 0.490512i | 0.566828 | − | 0.823836i | \(-0.308170\pi\) |
0.942812 | + | 0.333324i | \(0.108170\pi\) | |||||||
\(504\) | −4.33984 | + | 0.673771i | −0.193312 | + | 0.0300122i | ||||
\(505\) | 4.19471 | + | 5.77352i | 0.186662 | + | 0.256918i | ||||
\(506\) | −13.5210 | + | 7.80638i | −0.601084 | + | 0.347036i | ||||
\(507\) | 63.4520 | − | 57.1324i | 2.81800 | − | 2.53734i | ||||
\(508\) | −6.56103 | + | 2.92116i | −0.291098 | + | 0.129605i | ||||
\(509\) | 29.4809 | + | 26.5447i | 1.30672 | + | 1.17657i | 0.972191 | + | 0.234189i | \(0.0752434\pi\) |
0.334527 | + | 0.942386i | \(0.391423\pi\) | |||||||
\(510\) | 55.8205 | − | 40.5560i | 2.47177 | − | 1.79585i | ||||
\(511\) | 7.80838 | − | 2.97000i | 0.345422 | − | 0.131385i | ||||
\(512\) | 24.7938 | + | 18.0137i | 1.09574 | + | 0.796102i | ||||
\(513\) | −0.369862 | + | 3.51900i | −0.0163298 | + | 0.155368i | ||||
\(514\) | −10.6490 | − | 23.9180i | −0.469707 | − | 1.05498i | ||||
\(515\) | −2.24686 | − | 21.3774i | −0.0990084 | − | 0.942002i | ||||
\(516\) | −16.1910 | − | 14.5784i | −0.712768 | − | 0.641780i | ||||
\(517\) | 8.95866 | + | 6.50885i | 0.394001 | + | 0.286259i | ||||
\(518\) | −17.0927 | − | 21.2401i | −0.751009 | − | 0.933237i | ||||
\(519\) | − | 67.7500i | − | 2.97389i | ||||||
\(520\) | −3.04576 | + | 6.84089i | −0.133565 | + | 0.299993i | ||||
\(521\) | 16.9718 | − | 15.2815i | 0.743547 | − | 0.669493i | −0.207606 | − | 0.978213i | \(-0.566567\pi\) |
0.951153 | + | 0.308720i | \(0.0999005\pi\) | |||||||
\(522\) | 13.1449 | − | 61.8417i | 0.575335 | − | 2.70674i | ||||
\(523\) | 9.80866 | − | 10.8936i | 0.428903 | − | 0.476345i | −0.489493 | − | 0.872007i | \(-0.662818\pi\) |
0.918396 | + | 0.395662i | \(0.129485\pi\) | |||||||
\(524\) | 12.5209 | 0.546976 | ||||||||
\(525\) | −36.2639 | − | 36.4862i | −1.58268 | − | 1.59239i | ||||
\(526\) | −18.3557 | + | 25.2644i | −0.800345 | + | 1.10158i | ||||
\(527\) | −6.43199 | + | 14.4465i | −0.280182 | + | 0.629299i | ||||
\(528\) | −10.7564 | − | 11.9462i | −0.468111 | − | 0.519890i | ||||
\(529\) | 9.14044 | + | 10.1515i | 0.397410 | + | 0.441369i | ||||
\(530\) | 52.9979 | − | 30.5983i | 2.30208 | − | 1.32911i | ||||
\(531\) | 8.50781 | − | 6.18128i | 0.369207 | − | 0.268245i | ||||
\(532\) | 0.166277 | − | 2.99742i | 0.00720901 | − | 0.129955i | ||||
\(533\) | −38.5114 | − | 16.9198i | −1.66811 | − | 0.732878i | ||||
\(534\) | 26.4839 | + | 45.8714i | 1.14607 | + | 1.98505i | ||||
\(535\) | 3.15241 | + | 29.9931i | 0.136290 | + | 1.29672i | ||||
\(536\) | −3.03416 | − | 1.75177i | −0.131056 | − | 0.0756650i | ||||
\(537\) | 39.9173 | − | 8.48467i | 1.72256 | − | 0.366141i | ||||
\(538\) | −9.65810 | + | 29.7246i | −0.416390 | + | 1.28152i | ||||
\(539\) | −9.22188 | − | 0.0563753i | −0.397214 | − | 0.00242825i | ||||
\(540\) | −21.1680 | + | 29.1353i | −0.910926 | + | 1.25378i | ||||
\(541\) | −14.8941 | + | 16.5416i | −0.640348 | + | 0.711178i | −0.972723 | − | 0.231969i | \(-0.925483\pi\) |
0.332375 | + | 0.943147i | \(0.392150\pi\) | |||||||
\(542\) | −20.7547 | + | 35.9481i | −0.891489 | + | 1.54410i | ||||
\(543\) | −32.2858 | − | 6.86255i | −1.38551 | − | 0.294500i | ||||
\(544\) | −20.8779 | − | 18.7986i | −0.895133 | − | 0.805981i | ||||
\(545\) | −15.6965 | − | 5.10009i | −0.672362 | − | 0.218464i | ||||
\(546\) | 80.9411 | − | 52.2127i | 3.46396 | − | 2.23450i | ||||
\(547\) | 14.2024i | 0.607253i | 0.952791 | + | 0.303626i | \(0.0981974\pi\) | ||||
−0.952791 | + | 0.303626i | \(0.901803\pi\) | |||||||
\(548\) | −0.880088 | − | 4.14049i | −0.0375955 | − | 0.176873i | ||||
\(549\) | −52.0485 | + | 23.1735i | −2.22138 | + | 0.989020i | ||||
\(550\) | 3.68161 | − | 17.3206i | 0.156984 | − | 0.738553i | ||||
\(551\) | −3.64533 | − | 1.62300i | −0.155296 | − | 0.0691423i | ||||
\(552\) | −3.33425 | + | 4.58920i | −0.141915 | + | 0.195329i | ||||
\(553\) | −6.37200 | − | 1.02920i | −0.270965 | − | 0.0437660i | ||||
\(554\) | −36.0433 | − | 26.1870i | −1.53133 | − | 1.11258i | ||||
\(555\) | 51.0697 | + | 5.36764i | 2.16779 | + | 0.227844i | ||||
\(556\) | 0.299356 | + | 2.84818i | 0.0126955 | + | 0.120790i | ||||
\(557\) | −5.41231 | + | 25.4629i | −0.229327 | + | 1.07890i | 0.701282 | + | 0.712884i | \(0.252611\pi\) |
−0.930609 | + | 0.366014i | \(0.880722\pi\) | |||||||
\(558\) | 4.49069 | − | 42.7261i | 0.190106 | − | 1.80874i | ||||
\(559\) | −26.2578 | − | 8.53167i | −1.11059 | − | 0.360851i | ||||
\(560\) | −21.4931 | + | 32.8760i | −0.908248 | + | 1.38926i | ||||
\(561\) | 7.92425 | + | 10.9068i | 0.334562 | + | 0.460485i | ||||
\(562\) | −1.04722 | − | 4.92677i | −0.0441742 | − | 0.207823i | ||||
\(563\) | −7.49620 | + | 35.2669i | −0.315927 | + | 1.48632i | 0.478028 | + | 0.878345i | \(0.341352\pi\) |
−0.793955 | + | 0.607977i | \(0.791981\pi\) | |||||||
\(564\) | −42.6216 | − | 9.05951i | −1.79469 | − | 0.381474i | ||||
\(565\) | −12.9040 | − | 22.3504i | −0.542875 | − | 0.940288i | ||||
\(566\) | −1.82449 | − | 5.61522i | −0.0766892 | − | 0.236025i | ||||
\(567\) | −2.76082 | + | 1.05011i | −0.115944 | + | 0.0441005i | ||||
\(568\) | −0.655846 | − | 0.902694i | −0.0275187 | − | 0.0378762i | ||||
\(569\) | −11.4206 | + | 2.42753i | −0.478778 | + | 0.101767i | −0.440978 | − | 0.897518i | \(-0.645368\pi\) |
−0.0377999 | + | 0.999285i | \(0.512035\pi\) | |||||||
\(570\) | 7.91632 | + | 8.79196i | 0.331578 | + | 0.368255i | ||||
\(571\) | −14.0457 | − | 8.10931i | −0.587796 | − | 0.339364i | 0.176430 | − | 0.984313i | \(-0.443545\pi\) |
−0.764225 | + | 0.644949i | \(0.776879\pi\) | |||||||
\(572\) | 14.4762 | + | 6.44524i | 0.605282 | + | 0.269489i | ||||
\(573\) | 32.0453 | 1.33871 | ||||||||
\(574\) | −27.8426 | − | 18.0075i | −1.16213 | − | 0.751619i | ||||
\(575\) | −41.5790 | −1.73396 | ||||||||
\(576\) | 30.2251 | + | 13.4571i | 1.25938 | + | 0.560712i | ||||
\(577\) | 28.6384 | + | 16.5344i | 1.19223 | + | 0.688335i | 0.958812 | − | 0.284041i | \(-0.0916753\pi\) |
0.233419 | + | 0.972376i | \(0.425009\pi\) | |||||||
\(578\) | −5.15670 | − | 5.72710i | −0.214491 | − | 0.238216i | ||||
\(579\) | −32.8585 | + | 6.98428i | −1.36555 | + | 0.290257i | ||||
\(580\) | −23.8716 | − | 32.8564i | −0.991215 | − | 1.36429i | ||||
\(581\) | −1.05719 | − | 0.861461i | −0.0438597 | − | 0.0357394i | ||||
\(582\) | 16.9394 | + | 52.1341i | 0.702161 | + | 2.16103i | ||||
\(583\) | 5.97862 | + | 10.3553i | 0.247609 | + | 0.428872i | ||||
\(584\) | 1.02199 | + | 0.217230i | 0.0422901 | + | 0.00898903i | ||||
\(585\) | −23.6038 | + | 111.047i | −0.975899 | + | 4.59124i | ||||
\(586\) | −7.92498 | − | 37.2841i | −0.327378 | − | 1.54019i | ||||
\(587\) | 25.6607 | + | 35.3190i | 1.05913 | + | 1.45777i | 0.880615 | + | 0.473832i | \(0.157130\pi\) |
0.178516 | + | 0.983937i | \(0.442870\pi\) | |||||||
\(588\) | 33.2407 | − | 14.5569i | 1.37082 | − | 0.600316i | ||||
\(589\) | −2.57878 | − | 0.837897i | −0.106257 | − | 0.0345250i | ||||
\(590\) | 1.47745 | − | 14.0570i | 0.0608255 | − | 0.578716i | ||||
\(591\) | −2.74646 | + | 12.9211i | −0.112974 | + | 0.531501i | ||||
\(592\) | −2.37162 | − | 22.5645i | −0.0974731 | − | 0.927394i | ||||
\(593\) | 37.0018 | + | 3.88905i | 1.51948 | + | 0.159704i | 0.827194 | − | 0.561917i | \(-0.189936\pi\) |
0.692288 | + | 0.721621i | \(0.256603\pi\) | |||||||
\(594\) | −11.9111 | − | 8.65395i | −0.488720 | − | 0.355076i | ||||
\(595\) | 20.8086 | − | 25.5365i | 0.853070 | − | 1.04689i | ||||
\(596\) | 20.3496 | − | 28.0089i | 0.833554 | − | 1.14729i | ||||
\(597\) | −10.8872 | − | 4.84731i | −0.445585 | − | 0.198387i | ||||
\(598\) | 16.1864 | − | 76.1511i | 0.661912 | − | 3.11405i | ||||
\(599\) | 5.82883 | − | 2.59516i | 0.238160 | − | 0.106035i | −0.284187 | − | 0.958769i | \(-0.591724\pi\) |
0.522346 | + | 0.852733i | \(0.325057\pi\) | |||||||
\(600\) | −1.33763 | − | 6.29308i | −0.0546087 | − | 0.256914i | ||||
\(601\) | 33.6946i | 1.37443i | 0.726453 | + | 0.687216i | \(0.241167\pi\) | ||||
−0.726453 | + | 0.687216i | \(0.758833\pi\) | |||||||
\(602\) | −19.3613 | − | 9.93972i | −0.789107 | − | 0.405113i | ||||
\(603\) | −50.5168 | − | 16.4139i | −2.05720 | − | 0.668425i | ||||
\(604\) | 24.3385 | + | 21.9144i | 0.990318 | + | 0.891686i | ||||
\(605\) | −31.2171 | − | 6.63541i | −1.26916 | − | 0.269768i | ||||
\(606\) | 5.74020 | − | 9.94233i | 0.233180 | − | 0.403879i | ||||
\(607\) | 7.26684 | − | 8.07064i | 0.294952 | − | 0.327577i | −0.577395 | − | 0.816465i | \(-0.695931\pi\) |
0.872347 | + | 0.488888i | \(0.162597\pi\) | |||||||
\(608\) | 2.83145 | − | 3.89715i | 0.114830 | − | 0.158050i | ||||
\(609\) | −2.37716 | − | 48.1760i | −0.0963275 | − | 1.95219i | ||||
\(610\) | −23.6634 | + | 72.8285i | −0.958104 | + | 2.94874i | ||||
\(611\) | −54.0110 | + | 11.4804i | −2.18505 | + | 0.464447i | ||||
\(612\) | −28.7494 | − | 16.5985i | −1.16213 | − | 0.670954i | ||||
\(613\) | 0.776104 | + | 7.38414i | 0.0313465 | + | 0.298242i | 0.998952 | + | 0.0457745i | \(0.0145756\pi\) |
−0.967605 | + | 0.252468i | \(0.918758\pi\) | |||||||
\(614\) | 33.1334 | + | 57.3888i | 1.33716 | + | 2.31602i | ||||
\(615\) | 61.0246 | − | 13.2853i | 2.46075 | − | 0.535716i | ||||
\(616\) | −0.965367 | − | 0.631120i | −0.0388957 | − | 0.0254285i | ||||
\(617\) | 10.6181 | − | 7.71451i | 0.427469 | − | 0.310574i | −0.353167 | − | 0.935560i | \(-0.614895\pi\) |
0.780636 | + | 0.624986i | \(0.214895\pi\) | |||||||
\(618\) | −29.9465 | + | 17.2896i | −1.20463 | + | 0.695491i | ||||
\(619\) | −5.29024 | − | 5.87540i | −0.212633 | − | 0.236152i | 0.627388 | − | 0.778707i | \(-0.284124\pi\) |
−0.840021 | + | 0.542554i | \(0.817457\pi\) | |||||||
\(620\) | −18.4661 | − | 20.5087i | −0.741618 | − | 0.823650i | ||||
\(621\) | −14.0612 | + | 31.5821i | −0.564258 | + | 1.26734i | ||||
\(622\) | −5.21814 | + | 7.18215i | −0.209228 | + | 0.287978i | ||||
\(623\) | 17.8265 | + | 17.9358i | 0.714204 | + | 0.718584i | ||||
\(624\) | 80.1580 | 3.20889 | ||||||||
\(625\) | −8.14868 | + | 9.05002i | −0.325947 | + | 0.362001i | ||||
\(626\) | 1.10944 | − | 5.21953i | 0.0443423 | − | 0.208614i | ||||
\(627\) | −1.71787 | + | 1.54677i | −0.0686050 | + | 0.0617722i | ||||
\(628\) | −4.53447 | + | 10.1846i | −0.180945 | + | 0.406409i | ||||
\(629\) | 19.0281i | 0.758700i | ||||||||
\(630\) | −32.3263 | + | 83.4495i | −1.28791 | + | 3.32471i | ||||
\(631\) | −4.28290 | − | 3.11171i | −0.170500 | − | 0.123875i | 0.499263 | − | 0.866450i | \(-0.333604\pi\) |
−0.669763 | + | 0.742575i | \(0.733604\pi\) | |||||||
\(632\) | −0.599901 | − | 0.540153i | −0.0238628 | − | 0.0214861i | ||||
\(633\) | 4.57157 | + | 43.4955i | 0.181703 | + | 1.72879i | ||||
\(634\) | 0.857475 | + | 1.92592i | 0.0340547 | + | 0.0764881i | ||||
\(635\) | 1.41245 | − | 13.4386i | 0.0560516 | − | 0.533295i | ||||
\(636\) | −38.0653 | − | 27.6560i | −1.50939 | − | 1.09663i | ||||
\(637\) | 30.9786 | − | 33.9851i | 1.22742 | − | 1.34654i | ||||
\(638\) | 13.4324 | − | 9.75924i | 0.531796 | − | 0.386372i | ||||
\(639\) | −12.5712 | − | 11.3192i | −0.497311 | − | 0.447780i | ||||
\(640\) | −8.30092 | + | 3.69581i | −0.328123 | + | 0.146090i | ||||
\(641\) | 19.2880 | − | 17.3670i | 0.761831 | − | 0.685956i | −0.193630 | − | 0.981075i | \(-0.562026\pi\) |
0.955460 | + | 0.295119i | \(0.0953593\pi\) | |||||||
\(642\) | 42.0158 | − | 24.2578i | 1.65823 | − | 0.957380i | ||||
\(643\) | 14.4421 | + | 19.8778i | 0.569540 | + | 0.783904i | 0.992500 | − | 0.122244i | \(-0.0390091\pi\) |
−0.422960 | + | 0.906148i | \(0.639009\pi\) | |||||||
\(644\) | 10.5948 | − | 27.3502i | 0.417493 | − | 1.07775i | ||||
\(645\) | 38.9856 | − | 12.6672i | 1.53506 | − | 0.498771i | ||||
\(646\) | −2.93339 | + | 3.25786i | −0.115413 | + | 0.128179i | ||||
\(647\) | −18.2223 | + | 31.5620i | −0.716393 | + | 1.24083i | 0.246027 | + | 0.969263i | \(0.420875\pi\) |
−0.962420 | + | 0.271566i | \(0.912458\pi\) | |||||||
\(648\) | −0.361345 | − | 0.0768063i | −0.0141950 | − | 0.00301724i | ||||
\(649\) | 2.74660 | + | 0.288679i | 0.107813 | + | 0.0113316i | ||||
\(650\) | 51.9003 | + | 71.4346i | 2.03570 | + | 2.80190i | ||||
\(651\) | −5.02838 | − | 32.3884i | −0.197078 | − | 1.26940i | ||||
\(652\) | −6.75430 | + | 20.7876i | −0.264519 | + | 0.814105i | ||||
\(653\) | 7.03829 | − | 4.06356i | 0.275430 | − | 0.159019i | −0.355923 | − | 0.934515i | \(-0.615833\pi\) |
0.631353 | + | 0.775496i | \(0.282500\pi\) | |||||||
\(654\) | 2.77526 | + | 26.4049i | 0.108521 | + | 1.03251i | ||||
\(655\) | −11.7788 | + | 20.4016i | −0.460238 | + | 0.797155i | ||||
\(656\) | −11.3476 | − | 25.1533i | −0.443049 | − | 0.982071i | ||||
\(657\) | 15.8402 | 0.617987 | ||||||||
\(658\) | −43.4740 | + | 2.14515i | −1.69479 | + | 0.0836267i | ||||
\(659\) | − | 26.4519i | − | 1.03042i | −0.857064 | − | 0.515210i | \(-0.827714\pi\) | ||
0.857064 | − | 0.515210i | \(-0.172286\pi\) | |||||||
\(660\) | −23.0132 | + | 4.89160i | −0.895787 | + | 0.190405i | ||||
\(661\) | 9.29949 | + | 10.3281i | 0.361708 | + | 0.401718i | 0.896340 | − | 0.443367i | \(-0.146216\pi\) |
−0.534632 | + | 0.845085i | \(0.679550\pi\) | |||||||
\(662\) | −42.5009 | + | 4.46702i | −1.65184 | + | 0.173616i | ||||
\(663\) | −66.8569 | − | 7.02694i | −2.59651 | − | 0.272904i | ||||
\(664\) | −0.0527048 | − | 0.162209i | −0.00204534 | − | 0.00629492i | ||||
\(665\) | 4.72759 | + | 3.09072i | 0.183328 | + | 0.119853i | ||||
\(666\) | −15.9744 | − | 49.1642i | −0.618996 | − | 1.90507i | ||||
\(667\) | −28.9725 | − | 26.0869i | −1.12182 | − | 1.01009i | ||||
\(668\) | −8.13890 | + | 7.32830i | −0.314903 | + | 0.283540i | ||||
\(669\) | 24.2417 | − | 2.54790i | 0.937238 | − | 0.0985076i | ||||
\(670\) | −61.8268 | + | 35.6957i | −2.38858 | + | 1.37905i | ||||
\(671\) | −14.2300 | − | 4.62361i | −0.549343 | − | 0.178492i | ||||
\(672\) | 57.4844 | + | 9.28484i | 2.21751 | + | 0.358170i | ||||
\(673\) | 34.2748 | − | 11.1366i | 1.32120 | − | 0.429283i | 0.438292 | − | 0.898833i | \(-0.355584\pi\) |
0.882906 | + | 0.469549i | \(0.155584\pi\) | |||||||
\(674\) | 47.7083 | + | 21.2411i | 1.83766 | + | 0.818177i | ||||
\(675\) | −15.9479 | − | 35.8195i | −0.613834 | − | 1.37869i | ||||
\(676\) | −50.4408 | + | 22.4577i | −1.94003 | + | 0.863757i | ||||
\(677\) | 0.439302 | − | 4.17968i | 0.0168838 | − | 0.160638i | −0.982831 | − | 0.184506i | \(-0.940931\pi\) |
0.999715 | + | 0.0238679i | \(0.00759812\pi\) | |||||||
\(678\) | −24.4032 | + | 33.5882i | −0.937201 | + | 1.28995i | ||||
\(679\) | 14.1865 | + | 21.9922i | 0.544428 | + | 0.843981i | ||||
\(680\) | 3.91816 | − | 1.27309i | 0.150254 | − | 0.0488206i | ||||
\(681\) | 0.424302 | − | 4.03696i | 0.0162593 | − | 0.154697i | ||||
\(682\) | 8.38442 | − | 7.54936i | 0.321056 | − | 0.289080i | ||||
\(683\) | −21.6447 | − | 12.4966i | −0.828213 | − | 0.478169i | 0.0250274 | − | 0.999687i | \(-0.492033\pi\) |
−0.853240 | + | 0.521518i | \(0.825366\pi\) | |||||||
\(684\) | 2.31520 | − | 5.20002i | 0.0885238 | − | 0.198828i | ||||
\(685\) | 7.57446 | + | 2.46109i | 0.289405 | + | 0.0940335i | ||||
\(686\) | 28.3790 | − | 22.5532i | 1.08352 | − | 0.861084i | ||||
\(687\) | 9.77611 | + | 30.0878i | 0.372982 | + | 1.14792i | ||||
\(688\) | −9.05588 | − | 15.6852i | −0.345252 | − | 0.597994i | ||||
\(689\) | −58.3214 | − | 12.3966i | −2.22187 | − | 0.472273i | ||||
\(690\) | 47.0145 | + | 105.596i | 1.78981 | + | 4.01998i | ||||
\(691\) | 7.09444 | − | 15.9344i | 0.269885 | − | 0.606173i | −0.726860 | − | 0.686786i | \(-0.759021\pi\) |
0.996745 | + | 0.0806130i | \(0.0256878\pi\) | |||||||
\(692\) | −13.5385 | + | 41.6673i | −0.514657 | + | 1.58395i | ||||
\(693\) | −16.3052 | − | 6.31625i | −0.619385 | − | 0.239934i | ||||
\(694\) | − | 36.2244i | − | 1.37506i | ||||||
\(695\) | −4.92246 | − | 2.19162i | −0.186719 | − | 0.0831329i | ||||
\(696\) | 3.01625 | − | 5.22430i | 0.114331 | − | 0.198026i | ||||
\(697\) | 7.25958 | + | 21.9742i | 0.274976 | + | 0.832332i | ||||
\(698\) | −3.59792 | − | 6.23178i | −0.136183 | − | 0.235876i | ||||
\(699\) | −12.8590 | + | 9.34259i | −0.486371 | + | 0.353369i | ||||
\(700\) | 15.0118 | + | 29.6862i | 0.567391 | + | 1.12203i | ||||
\(701\) | −5.17090 | + | 15.9144i | −0.195302 | + | 0.601079i | 0.804671 | + | 0.593722i | \(0.202342\pi\) |
−0.999973 | + | 0.00735734i | \(0.997658\pi\) | |||||||
\(702\) | 71.8112 | − | 15.2639i | 2.71034 | − | 0.576100i | ||||
\(703\) | −3.24479 | + | 0.341041i | −0.122380 | + | 0.0128626i | ||||
\(704\) | 3.53404 | + | 7.93758i | 0.133194 | + | 0.299159i | ||||
\(705\) | 54.8574 | − | 60.9253i | 2.06605 | − | 2.29458i | ||||
\(706\) | 49.6274 | 1.86775 | ||||||||
\(707\) | 1.43476 | − | 5.28986i | 0.0539597 | − | 0.198946i | ||||
\(708\) | −10.3354 | + | 3.35817i | −0.388428 | + | 0.126208i | ||||
\(709\) | −4.72121 | − | 22.2116i | −0.177309 | − | 0.834173i | −0.973421 | − | 0.229024i | \(-0.926447\pi\) |
0.796112 | − | 0.605149i | \(-0.206887\pi\) | |||||||
\(710\) | −22.6118 | + | 2.37660i | −0.848608 | + | 0.0891923i | ||||
\(711\) | −10.5988 | − | 6.11924i | −0.397488 | − | 0.229490i | ||||
\(712\) | 0.657552 | + | 3.09354i | 0.0246428 | + | 0.115935i | ||||
\(713\) | −21.4325 | − | 15.5716i | −0.802652 | − | 0.583161i | ||||
\(714\) | −51.1444 | − | 13.8718i | −1.91403 | − | 0.519138i | ||||
\(715\) | −24.1203 | + | 17.5244i | −0.902047 | + | 0.655375i | ||||
\(716\) | −26.2452 | − | 2.75848i | −0.980830 | − | 0.103089i | ||||
\(717\) | −25.2589 | + | 11.2460i | −0.943310 | + | 0.419988i | ||||
\(718\) | −1.58963 | + | 0.707750i | −0.0593246 | + | 0.0264130i | ||||
\(719\) | 22.3046 | + | 2.34431i | 0.831823 | + | 0.0874281i | 0.510860 | − | 0.859664i | \(-0.329327\pi\) |
0.320962 | + | 0.947092i | \(0.395994\pi\) | |||||||
\(720\) | −60.2518 | + | 43.7755i | −2.24545 | + | 1.63142i | ||||
\(721\) | −11.7091 | + | 11.6378i | −0.436071 | + | 0.433414i | ||||
\(722\) | 29.4778 | + | 21.4169i | 1.09705 | + | 0.797055i | ||||
\(723\) | 15.5072 | + | 72.9557i | 0.576719 | + | 2.71325i | ||||
\(724\) | 18.4849 | + | 10.6723i | 0.686986 | + | 0.396631i | ||||
\(725\) | 43.9750 | − | 4.62196i | 1.63319 | − | 0.171655i | ||||
\(726\) | 10.6744 | + | 50.2190i | 0.396163 | + | 1.86380i | ||||
\(727\) | 18.7658 | − | 6.09737i | 0.695984 | − | 0.226139i | 0.0604043 | − | 0.998174i | \(-0.480761\pi\) |
0.635580 | + | 0.772035i | \(0.280761\pi\) | |||||||
\(728\) | 5.55975 | − | 1.47153i | 0.206058 | − | 0.0545386i | ||||
\(729\) | 42.8980 | 1.58881 | ||||||||
\(730\) | 14.2459 | − | 15.8217i | 0.527264 | − | 0.585586i | ||||
\(731\) | 6.17815 | + | 13.8764i | 0.228507 | + | 0.513235i | ||||
\(732\) | 58.5535 | − | 6.15422i | 2.16420 | − | 0.227467i | ||||
\(733\) | 1.41708 | − | 0.301209i | 0.0523410 | − | 0.0111254i | −0.181667 | − | 0.983360i | \(-0.558149\pi\) |
0.234008 | + | 0.972235i | \(0.424816\pi\) | |||||||
\(734\) | −11.9029 | + | 36.6333i | −0.439343 | + | 1.35216i | ||||
\(735\) | −7.55171 | + | 67.8568i | −0.278549 | + | 2.50294i | ||||
\(736\) | 38.0762 | − | 27.6640i | 1.40351 | − | 1.01971i | ||||
\(737\) | −6.97461 | − | 12.0804i | −0.256913 | − | 0.444986i | ||||
\(738\) | −37.2047 | − | 50.6816i | −1.36953 | − | 1.86562i | ||||
\(739\) | 4.03944 | − | 6.99652i | 0.148593 | − | 0.257371i | −0.782114 | − | 0.623135i | \(-0.785859\pi\) |
0.930708 | + | 0.365764i | \(0.119192\pi\) | |||||||
\(740\) | −30.3360 | − | 13.5065i | −1.11517 | − | 0.496508i | ||||
\(741\) | − | 11.5268i | − | 0.423447i | ||||||
\(742\) | −43.8272 | − | 16.9776i | −1.60895 | − | 0.623266i | ||||
\(743\) | 6.12069 | − | 18.8375i | 0.224546 | − | 0.691082i | −0.773791 | − | 0.633441i | \(-0.781642\pi\) |
0.998337 | − | 0.0576414i | \(-0.0183580\pi\) | |||||||
\(744\) | 1.66730 | − | 3.74481i | 0.0611260 | − | 0.137291i | ||||
\(745\) | 26.4941 | + | 59.5068i | 0.970670 | + | 2.18016i | ||||
\(746\) | −42.5862 | − | 9.05198i | −1.55919 | − | 0.331416i | ||||
\(747\) | −1.29288 | − | 2.23934i | −0.0473041 | − | 0.0819331i | ||||
\(748\) | −2.69402 | − | 8.29136i | −0.0985033 | − | 0.303162i | ||||
\(749\) | 16.4283 | − | 16.3281i | 0.600276 | − | 0.596617i | ||||
\(750\) | −33.9005 | − | 11.0149i | −1.23787 | − | 0.402209i | ||||
\(751\) | 5.51544 | − | 12.3879i | 0.201261 | − | 0.452041i | −0.784513 | − | 0.620112i | \(-0.787087\pi\) |
0.985775 | + | 0.168071i | \(0.0537539\pi\) | |||||||
\(752\) | −31.3702 | − | 18.1116i | −1.14395 | − | 0.660461i | ||||
\(753\) | 45.1204 | − | 40.6266i | 1.64428 | − | 1.48052i | ||||
\(754\) | −8.65414 | + | 82.3387i | −0.315165 | + | 2.99860i | ||||
\(755\) | −58.6036 | + | 19.0415i | −2.13280 | + | 0.692990i | ||||
\(756\) | 27.6254 | − | 1.36313i | 1.00473 | − | 0.0495765i | ||||
\(757\) | −3.53891 | + | 4.87089i | −0.128624 | + | 0.177036i | −0.868472 | − | 0.495739i | \(-0.834897\pi\) |
0.739848 | + | 0.672774i | \(0.234897\pi\) | |||||||
\(758\) | 4.76822 | − | 45.3666i | 0.173190 | − | 1.64779i | ||||
\(759\) | −20.6325 | + | 9.18618i | −0.748912 | + | 0.333437i | ||||
\(760\) | 0.287320 | + | 0.645330i | 0.0104222 | + | 0.0234086i | ||||
\(761\) | −36.8537 | − | 16.4083i | −1.33595 | − | 0.594801i | −0.390506 | − | 0.920600i | \(-0.627700\pi\) |
−0.945439 | + | 0.325799i | \(0.894367\pi\) | |||||||
\(762\) | −20.6738 | + | 6.71733i | −0.748934 | + | 0.243343i | ||||
\(763\) | 4.50636 | + | 11.8476i | 0.163141 | + | 0.428912i | ||||
\(764\) | −19.7084 | − | 6.40363i | −0.713023 | − | 0.231675i | ||||
\(765\) | 54.0913 | − | 31.2296i | 1.95568 | − | 1.12911i | ||||
\(766\) | −45.1736 | + | 4.74794i | −1.63219 | + | 0.171550i | ||||
\(767\) | −10.2340 | + | 9.21475i | −0.369529 | + | 0.332725i | ||||
\(768\) | 38.6170 | + | 34.7709i | 1.39347 | + | 1.25469i | ||||
\(769\) | −4.06724 | − | 12.5177i | −0.146669 | − | 0.451399i | 0.850553 | − | 0.525889i | \(-0.176267\pi\) |
−0.997222 | + | 0.0744895i | \(0.976267\pi\) | |||||||
\(770\) | −20.9729 | + | 10.6056i | −0.755812 | + | 0.382200i | ||||
\(771\) | −11.7036 | − | 36.0200i | −0.421495 | − | 1.29723i | ||||
\(772\) | 21.6041 | + | 2.27069i | 0.777550 | + | 0.0817238i | ||||
\(773\) | 12.0852 | − | 1.27021i | 0.434676 | − | 0.0456863i | 0.115336 | − | 0.993327i | \(-0.463206\pi\) |
0.319340 | + | 0.947640i | \(0.396539\pi\) | |||||||
\(774\) | −27.6123 | − | 30.6666i | −0.992504 | − | 1.10229i | ||||
\(775\) | 29.3899 | − | 6.24701i | 1.05572 | − | 0.224399i | ||||
\(776\) | 3.27307i | 0.117496i | ||||||||
\(777\) | −21.3788 | − | 33.1417i | −0.766959 | − | 1.18895i | ||||
\(778\) | −12.3219 | −0.441760 | ||||||||
\(779\) | −3.61706 | + | 1.63179i | −0.129595 | + | 0.0584650i | ||||
\(780\) | 58.6590 | − | 101.600i | 2.10033 | − | 3.63788i | ||||
\(781\) | −0.464365 | − | 4.41814i | −0.0166163 | − | 0.158094i | ||||
\(782\) | −37.0933 | + | 21.4158i | −1.32645 | + | 0.765829i | ||||
\(783\) | 11.3608 | − | 34.9651i | 0.406004 | − | 1.24955i | ||||
\(784\) | 30.0202 | − | 2.96982i | 1.07215 | − | 0.106065i | ||||
\(785\) | −12.3291 | − | 16.9695i | −0.440044 | − | 0.605668i | ||||
\(786\) | 37.6896 | + | 3.96134i | 1.34434 | + | 0.141296i | ||||
\(787\) | −19.0605 | − | 4.05143i | −0.679433 | − | 0.144418i | −0.144747 | − | 0.989469i | \(-0.546237\pi\) |
−0.534686 | + | 0.845051i | \(0.679570\pi\) | |||||||
\(788\) | 4.27114 | − | 7.39783i | 0.152153 | − | 0.263537i | ||||
\(789\) | −30.2277 | + | 33.5712i | −1.07613 | + | 1.19517i | ||||
\(790\) | −15.6441 | + | 5.08308i | −0.556593 | + | 0.180848i | ||||
\(791\) | −7.15981 | + | 18.4829i | −0.254574 | + | 0.657176i | ||||
\(792\) | −1.28542 | − | 1.76923i | −0.0456753 | − | 0.0628667i | ||||
\(793\) | 64.6132 | − | 37.3045i | 2.29448 | − | 1.32472i | ||||
\(794\) | −38.2171 | + | 34.4108i | −1.35627 | + | 1.22119i | ||||
\(795\) | 80.8724 | − | 36.0067i | 2.86825 | − | 1.27703i | ||||
\(796\) | 5.72718 | + | 5.15678i | 0.202995 | + | 0.182777i | ||||
\(797\) | 34.6243 | − | 25.1560i | 1.22646 | − | 0.891072i | 0.229836 | − | 0.973229i | \(-0.426181\pi\) |
0.996619 | + | 0.0821571i | \(0.0261809\pi\) | |||||||
\(798\) | 1.44884 | − | 8.97007i | 0.0512883 | − | 0.317537i | ||||
\(799\) | 24.5770 | + | 17.8562i | 0.869471 | + | 0.631708i | ||||
\(800\) | −5.57968 | + | 53.0872i | −0.197272 | + | 1.87691i | ||||
\(801\) | 19.5023 | + | 43.8029i | 0.689080 | + | 1.54770i | ||||
\(802\) | 4.18508 | + | 39.8184i | 0.147780 | + | 1.40604i | ||||
\(803\) | 3.09141 | + | 2.78351i | 0.109093 | + | 0.0982281i | ||||
\(804\) | 44.4066 | + | 32.2633i | 1.56610 | + | 1.13784i | ||||
\(805\) | 34.5977 | + | 42.9926i | 1.21941 | + | 1.51529i | ||||
\(806\) | 56.2589i | 1.98164i | ||||||||
\(807\) | −18.3893 | + | 41.3030i | −0.647333 | + | 1.45393i | ||||
\(808\) | 0.509413 | − | 0.458678i | 0.0179211 | − | 0.0161362i | ||||
\(809\) | −0.215349 | + | 1.01314i | −0.00757128 | + | 0.0356201i | −0.981771 | − | 0.190067i | \(-0.939129\pi\) |
0.974200 | + | 0.225687i | \(0.0724627\pi\) | |||||||
\(810\) | −5.03695 | + | 5.59410i | −0.176980 | + | 0.196557i | ||||
\(811\) | 1.47855 | 0.0519190 | 0.0259595 | − | 0.999663i | \(-0.491736\pi\) | ||||
0.0259595 | + | 0.999663i | \(0.491736\pi\) | |||||||
\(812\) | −8.16505 | + | 30.1040i | −0.286537 | + | 1.05644i | ||||
\(813\) | −35.2944 | + | 48.5786i | −1.23783 | + | 1.70373i | ||||
\(814\) | 5.52174 | − | 12.4020i | 0.193537 | − | 0.434691i | ||||
\(815\) | −27.5174 | − | 30.5612i | −0.963892 | − | 1.07051i | ||||
\(816\) | −29.5088 | − | 32.7728i | −1.03301 | − | 1.14728i | ||||
\(817\) | −2.25555 | + | 1.30224i | −0.0789117 | + | 0.0455597i | ||||
\(818\) | 40.5037 | − | 29.4277i | 1.41618 | − | 1.02891i | ||||
\(819\) | 77.8098 | − | 39.3470i | 2.71889 | − | 1.37489i | ||||
\(820\) | −40.1859 | − | 4.02390i | −1.40335 | − | 0.140521i | ||||
\(821\) | 22.4449 | + | 38.8757i | 0.783332 | + | 1.35677i | 0.929990 | + | 0.367584i | \(0.119815\pi\) |
−0.146658 | + | 0.989187i | \(0.546852\pi\) | |||||||
\(822\) | −1.33923 | − | 12.7419i | −0.0467110 | − | 0.444425i | ||||
\(823\) | 37.3899 | + | 21.5871i | 1.30333 | + | 0.752478i | 0.980974 | − | 0.194141i | \(-0.0621918\pi\) |
0.322356 | + | 0.946618i | \(0.395525\pi\) | |||||||
\(824\) | −2.01957 | + | 0.429274i | −0.0703552 | + | 0.0149545i | ||||
\(825\) | 7.91559 | − | 24.3617i | 0.275585 | − | 0.848165i | ||||
\(826\) | −9.12228 | + | 5.88451i | −0.317405 | + | 0.204748i | ||||
\(827\) | 5.76049 | − | 7.92864i | 0.200312 | − | 0.275706i | −0.697030 | − | 0.717042i | \(-0.745495\pi\) |
0.897342 | + | 0.441336i | \(0.145495\pi\) | |||||||
\(828\) | 37.2127 | − | 41.3289i | 1.29323 | − | 1.43628i | ||||
\(829\) | 23.4768 | − | 40.6631i | 0.815384 | − | 1.41229i | −0.0936671 | − | 0.995604i | \(-0.529859\pi\) |
0.909052 | − | 0.416684i | \(-0.136808\pi\) | |||||||
\(830\) | −3.39947 | − | 0.722579i | −0.117997 | − | 0.0250811i | ||||
\(831\) | −47.8942 | − | 43.1241i | −1.66143 | − | 1.49596i | ||||
\(832\) | −41.2056 | − | 13.3885i | −1.42855 | − | 0.464164i | ||||
\(833\) | −25.2991 | − | 0.154659i | −0.876562 | − | 0.00535860i | ||||
\(834\) | 8.66815i | 0.300154i | ||||||||
\(835\) | −4.28420 | − | 20.1556i | −0.148261 | − | 0.697512i | ||||
\(836\) | 1.36561 | − | 0.608007i | 0.0472305 | − | 0.0210284i | ||||
\(837\) | 5.19409 | − | 24.4363i | 0.179534 | − | 0.844641i | ||||
\(838\) | −34.2813 | − | 15.2630i | −1.18423 | − | 0.527252i | ||||
\(839\) | 1.86559 | − | 2.56776i | 0.0644072 | − | 0.0886489i | −0.775598 | − | 0.631227i | \(-0.782552\pi\) |
0.840005 | + | 0.542578i | \(0.182552\pi\) | |||||||
\(840\) | −5.39399 | + | 6.61955i | −0.186110 | + | 0.228396i | ||||
\(841\) | 10.0804 | + | 7.32385i | 0.347601 | + | 0.252547i | ||||
\(842\) | −54.5603 | − | 5.73452i | −1.88027 | − | 0.197624i | ||||
\(843\) | −0.761614 | − | 7.24627i | −0.0262314 | − | 0.249575i | ||||
\(844\) | 5.88016 | − | 27.6640i | 0.202403 | − | 0.952233i | ||||
\(845\) | 10.8589 | − | 103.315i | 0.373557 | − | 3.55415i | ||||
\(846\) | −78.4918 | − | 25.5035i | −2.69860 | − | 0.876829i | ||||
\(847\) | 11.0610 | + | 21.8735i | 0.380062 | + | 0.751584i | ||||
\(848\) | −22.9906 | − | 31.6439i | −0.789501 | − | 1.08666i | ||||
\(849\) | −1.77575 | − | 8.35423i | −0.0609435 | − | 0.286717i | ||||
\(850\) | 10.1000 | − | 47.5170i | 0.346429 | − | 1.62982i | ||||
\(851\) | −31.1804 | − | 6.62761i | −1.06885 | − | 0.227191i | ||||
\(852\) | 8.74048 | + | 15.1390i | 0.299444 | + | 0.518652i | ||||
\(853\) | −6.11187 | − | 18.8104i | −0.209267 | − | 0.644056i | −0.999511 | − | 0.0312647i | \(-0.990047\pi\) |
0.790245 | − | 0.612792i | \(-0.209953\pi\) | |||||||
\(854\) | 54.9705 | − | 20.9087i | 1.88105 | − | 0.715479i | ||||
\(855\) | 6.29495 | + | 8.66425i | 0.215283 | + | 0.296311i | ||||
\(856\) | 2.83352 | − | 0.602283i | 0.0968476 | − | 0.0205856i | ||||
\(857\) | 20.8749 | + | 23.1839i | 0.713074 | + | 0.791949i | 0.985400 | − | 0.170256i | \(-0.0544596\pi\) |
−0.272326 | + | 0.962205i | \(0.587793\pi\) | |||||||
\(858\) | 41.5365 | + | 23.9811i | 1.41803 | + | 0.818701i | ||||
\(859\) | −3.18947 | − | 1.42005i | −0.108823 | − | 0.0484513i | 0.351603 | − | 0.936149i | \(-0.385637\pi\) |
−0.460426 | + | 0.887698i | \(0.652303\pi\) | |||||||
\(860\) | −26.5081 | −0.903918 | ||||||||
\(861\) | −37.3330 | − | 30.1166i | −1.27230 | − | 1.02637i | ||||
\(862\) | −32.4182 | −1.10417 | ||||||||
\(863\) | −32.8314 | − | 14.6175i | −1.11759 | − | 0.497584i | −0.237024 | − | 0.971504i | \(-0.576172\pi\) |
−0.880568 | + | 0.473920i | \(0.842839\pi\) | |||||||
\(864\) | 38.4364 | + | 22.1913i | 1.30763 | + | 0.754962i | ||||
\(865\) | −55.1567 | − | 61.2577i | −1.87538 | − | 2.08283i | ||||
\(866\) | −7.96580 | + | 1.69318i | −0.270689 | + | 0.0575367i | ||||
\(867\) | −6.55273 | − | 9.01905i | −0.222542 | − | 0.306303i | ||||
\(868\) | −3.37966 | + | 20.9242i | −0.114713 | + | 0.710213i | ||||
\(869\) | −0.993186 | − | 3.05671i | −0.0336915 | − | 0.103692i | ||||
\(870\) | −61.4619 | − | 106.455i | −2.08375 | − | 3.60917i | ||||
\(871\) | 68.0372 | + | 14.4618i | 2.30535 | + | 0.490018i | ||||
\(872\) | −0.329601 | + | 1.55065i | −0.0111617 | + | 0.0525116i | ||||
\(873\) | 10.3171 | + | 48.5380i | 0.349180 | + | 1.64276i | ||||
\(874\) | −4.31678 | − | 5.94154i | −0.146017 | − | 0.200976i | ||||
\(875\) | −16.9916 | − | 0.942579i | −0.574421 | − | 0.0318650i | ||||
\(876\) | −15.5679 | − | 5.05830i | −0.525989 | − | 0.170904i | ||||
\(877\) | −4.50720 | + | 42.8831i | −0.152197 | + | 1.44806i | 0.605704 | + | 0.795690i | \(0.292892\pi\) |
−0.757901 | + | 0.652369i | \(0.773775\pi\) | |||||||
\(878\) | 8.74214 | − | 41.1286i | 0.295033 | − | 1.38802i | ||||
\(879\) | −5.76363 | − | 54.8373i | −0.194402 | − | 1.84961i | ||||
\(880\) | −19.4512 | − | 2.04441i | −0.655701 | − | 0.0689170i | ||||
\(881\) | −14.7144 | − | 10.6906i | −0.495739 | − | 0.360176i | 0.311648 | − | 0.950198i | \(-0.399119\pi\) |
−0.807387 | + | 0.590022i | \(0.799119\pi\) | |||||||
\(882\) | 65.4967 | − | 20.8394i | 2.20539 | − | 0.701699i | ||||
\(883\) | 1.44834 | − | 1.99347i | 0.0487407 | − | 0.0670858i | −0.783951 | − | 0.620823i | \(-0.786799\pi\) |
0.832692 | + | 0.553737i | \(0.186799\pi\) | |||||||
\(884\) | 39.7138 | + | 17.6817i | 1.33572 | + | 0.594701i | ||||
\(885\) | 4.25107 | − | 19.9997i | 0.142898 | − | 0.672283i | ||||
\(886\) | 16.9114 | − | 7.52946i | 0.568151 | − | 0.252957i | ||||
\(887\) | −10.7351 | − | 50.5047i | −0.360449 | − | 1.69578i | −0.667928 | − | 0.744226i | \(-0.732819\pi\) |
0.307478 | − | 0.951555i | \(-0.400515\pi\) | |||||||
\(888\) | − | 4.93245i | − | 0.165522i | ||||||
\(889\) | −8.72100 | + | 5.62566i | −0.292493 | + | 0.188679i | ||||
\(890\) | 61.2909 | + | 19.9146i | 2.05448 | + | 0.667540i | ||||
\(891\) | −1.09303 | − | 0.984173i | −0.0366180 | − | 0.0329710i | ||||
\(892\) | −15.4182 | − | 3.27723i | −0.516238 | − | 0.109730i | ||||
\(893\) | −2.60446 | + | 4.51105i | −0.0871549 | + | 0.150957i | ||||
\(894\) | 70.1168 | − | 77.8726i | 2.34506 | − | 2.60445i | ||||
\(895\) | 29.1846 | − | 40.1691i | 0.975532 | − | 1.34271i | ||||
\(896\) | 6.20832 | + | 3.18724i | 0.207405 | + | 0.106478i | ||||
\(897\) | 34.8014 | − | 107.108i | 1.16198 | − | 3.57622i | ||||
\(898\) | −36.0978 | + | 7.67282i | −1.20460 | + | 0.256045i | ||||
\(899\) | 24.3985 | + | 14.0865i | 0.813735 | + | 0.469810i | ||||
\(900\) | 6.59318 | + | 62.7299i | 0.219773 | + | 2.09100i | ||||
\(901\) | 16.4016 | + | 28.4084i | 0.546417 | + | 0.946422i | ||||
\(902\) | 1.64506 | − | 16.4289i | 0.0547744 | − | 0.547022i | ||||
\(903\) | −26.3512 | − | 17.2274i | −0.876913 | − | 0.573293i | ||||
\(904\) | −2.00552 | + | 1.45709i | −0.0667025 | + | 0.0484622i | ||||
\(905\) | −34.7789 | + | 20.0796i | −1.15609 | + | 0.667468i | ||||
\(906\) | 66.3290 | + | 73.6658i | 2.20363 | + | 2.44738i | ||||
\(907\) | 6.58521 | + | 7.31362i | 0.218658 | + | 0.242845i | 0.842487 | − | 0.538716i | \(-0.181090\pi\) |
−0.623829 | + | 0.781561i | \(0.714424\pi\) | |||||||
\(908\) | −1.06766 | + | 2.39801i | −0.0354316 | + | 0.0795806i | ||||
\(909\) | 6.10854 | − | 8.40768i | 0.202607 | − | 0.278865i | ||||
\(910\) | 30.6773 | − | 113.105i | 1.01694 | − | 3.74940i | ||||
\(911\) | 24.2400 | 0.803109 | 0.401554 | − | 0.915835i | \(-0.368470\pi\) | ||||
0.401554 | + | 0.915835i | \(0.368470\pi\) | |||||||
\(912\) | 5.05973 | − | 5.61940i | 0.167545 | − | 0.186077i | ||||
\(913\) | 0.141185 | − | 0.664224i | 0.00467254 | − | 0.0219826i | ||||
\(914\) | −18.3605 | + | 16.5319i | −0.607312 | + | 0.546826i | ||||
\(915\) | −45.0558 | + | 101.197i | −1.48950 | + | 3.34547i | ||||
\(916\) | − | 20.4580i | − | 0.675952i | ||||||
\(917\) | 17.8787 | − | 2.77572i | 0.590408 | − | 0.0916624i | ||||
\(918\) | −32.6767 | − | 23.7410i | −1.07849 | − | 0.783571i | ||||
\(919\) | −36.8374 | − | 33.1685i | −1.21515 | − | 1.09413i | −0.992877 | − | 0.119144i | \(-0.961985\pi\) |
−0.222275 | − | 0.974984i | \(-0.571348\pi\) | |||||||
\(920\) | 0.721427 | + | 6.86392i | 0.0237847 | + | 0.226297i | ||||
\(921\) | 38.9899 | + | 87.5727i | 1.28476 | + | 2.88562i | ||||
\(922\) | −4.74058 | + | 45.1036i | −0.156123 | + | 1.48541i | ||||
\(923\) | 17.9215 | + | 13.0208i | 0.589894 | + | 0.428583i | ||||
\(924\) | 14.0079 | + | 11.4144i | 0.460825 | + | 0.375507i | ||||
\(925\) | 29.2493 | − | 21.2508i | 0.961710 | − | 0.698723i | ||||
\(926\) | 47.7789 | + | 43.0203i | 1.57011 | + | 1.41374i | ||||
\(927\) | −28.5961 | + | 12.7318i | −0.939219 | + | 0.418167i | ||||
\(928\) | −37.1952 | + | 33.4907i | −1.22099 | + | 1.09939i | ||||
\(929\) | 4.10919 | − | 2.37244i | 0.134818 | − | 0.0778373i | −0.431074 | − | 0.902317i | \(-0.641865\pi\) |
0.565892 | + | 0.824479i | \(0.308532\pi\) | |||||||
\(930\) | −49.0972 | − | 67.5765i | −1.60996 | − | 2.21592i | ||||
\(931\) | −0.427063 | − | 4.31693i | −0.0139964 | − | 0.141482i | ||||
\(932\) | 9.77541 | − | 3.17622i | 0.320204 | − | 0.104041i | ||||
\(933\) | −8.59310 | + | 9.54360i | −0.281325 | + | 0.312443i | ||||
\(934\) | 24.9748 | − | 43.2576i | 0.817200 | − | 1.41543i | ||||
\(935\) | 16.0443 | + | 3.41033i | 0.524706 | + | 0.111530i | ||||
\(936\) | 10.8451 | + | 1.13986i | 0.354482 | + | 0.0372576i | ||||
\(937\) | 13.5194 | + | 18.6078i | 0.441658 | + | 0.607891i | 0.970580 | − | 0.240780i | \(-0.0774033\pi\) |
−0.528921 | + | 0.848671i | \(0.677403\pi\) | |||||||
\(938\) | 51.1284 | + | 19.8059i | 1.66940 | + | 0.646684i | ||||
\(939\) | 2.38534 | − | 7.34134i | 0.0778428 | − | 0.239575i | ||||
\(940\) | −45.9129 | + | 26.5078i | −1.49751 | + | 0.864590i | ||||
\(941\) | −7.91023e−5 | 0 | 0.000752608i | −2.57866e−6 | 0 | 2.45343e-5i | 0.994521 | − | 0.104541i | \(-0.0333373\pi\) |
−0.994523 | + | 0.104516i | \(0.966671\pi\) | |||||||
\(942\) | −16.8716 | + | 29.2225i | −0.549707 | + | 0.952120i | ||||
\(943\) | −38.5366 | + | 4.24217i | −1.25492 | + | 0.138144i | ||||
\(944\) | −9.03403 | −0.294033 | ||||||||
\(945\) | −23.7672 | + | 46.2954i | −0.773146 | + | 1.50599i | ||||
\(946\) | − | 10.8371i | − | 0.352344i | ||||||
\(947\) | −36.0792 | + | 7.66887i | −1.17242 | + | 0.249205i | −0.752646 | − | 0.658426i | \(-0.771223\pi\) |
−0.419770 | + | 0.907630i | \(0.637889\pi\) | |||||||
\(948\) | 8.46251 | + | 9.39857i | 0.274850 | + | 0.305252i | ||||
\(949\) | −20.6295 | + | 2.16825i | −0.669662 | + | 0.0703843i | ||||
\(950\) | 8.28390 | + | 0.870673i | 0.268765 | + | 0.0282484i | ||||
\(951\) | 0.942394 | + | 2.90039i | 0.0305592 | + | 0.0940516i | ||||
\(952\) | −2.64836 | − | 1.73140i | −0.0858340 | − | 0.0561150i | ||||
\(953\) | 11.4586 | + | 35.2659i | 0.371181 | + | 1.14238i | 0.946020 | + | 0.324110i | \(0.105065\pi\) |
−0.574839 | + | 0.818267i | \(0.694935\pi\) | |||||||
\(954\) | −66.2273 | − | 59.6313i | −2.14419 | − | 1.93064i | ||||
\(955\) | 28.9745 | − | 26.0888i | 0.937593 | − | 0.844213i | ||||
\(956\) | 17.7819 | − | 1.86895i | 0.575107 | − | 0.0604462i | ||||
\(957\) | 20.8003 | − | 12.0091i | 0.672379 | − | 0.388198i | ||||
\(958\) | 14.4575 | + | 4.69754i | 0.467102 | + | 0.151770i | ||||
\(959\) | −2.17459 | − | 5.71716i | −0.0702210 | − | 0.184617i | ||||
\(960\) | 61.1791 | − | 19.8783i | 1.97455 | − | 0.641569i | ||||
\(961\) | −10.8309 | − | 4.82224i | −0.349385 | − | 0.155556i | ||||
\(962\) | 27.5339 | + | 61.8423i | 0.887730 | + | 1.99387i | ||||
\(963\) | 40.1211 | − | 17.8631i | 1.29289 | − | 0.575630i | ||||
\(964\) | 5.04161 | − | 47.9677i | 0.162379 | − | 1.54493i | ||||
\(965\) | −24.0237 | + | 33.0658i | −0.773350 | + | 1.06443i | ||||
\(966\) | 40.5449 | − | 78.9761i | 1.30451 | − | 2.54102i | ||||
\(967\) | 15.3139 | − | 4.97577i | 0.492460 | − | 0.160010i | −0.0522505 | − | 0.998634i | \(-0.516639\pi\) |
0.544711 | + | 0.838624i | \(0.316639\pi\) | |||||||
\(968\) | −0.320433 | + | 3.04872i | −0.0102991 | + | 0.0979895i | ||||
\(969\) | −4.71275 | + | 4.24338i | −0.151395 | + | 0.136317i | ||||
\(970\) | 57.7597 | + | 33.3476i | 1.85455 | + | 1.07073i | ||||
\(971\) | −17.1284 | + | 38.4711i | −0.549677 | + | 1.23460i | 0.398592 | + | 0.917128i | \(0.369499\pi\) |
−0.948269 | + | 0.317467i | \(0.897168\pi\) | |||||||
\(972\) | −24.3230 | − | 7.90304i | −0.780162 | − | 0.253490i | ||||
\(973\) | 1.05886 | + | 4.00060i | 0.0339456 | + | 0.128253i | ||||
\(974\) | 10.3494 | + | 31.8522i | 0.331616 | + | 1.02061i | ||||
\(975\) | 63.8650 | + | 110.617i | 2.04532 | + | 3.54259i | ||||
\(976\) | 47.8744 | + | 10.1760i | 1.53242 | + | 0.325727i | ||||
\(977\) | −1.08414 | − | 2.43501i | −0.0346846 | − | 0.0779029i | 0.895372 | − | 0.445318i | \(-0.146909\pi\) |
−0.930057 | + | 0.367415i | \(0.880243\pi\) | |||||||
\(978\) | −26.9082 | + | 60.4368i | −0.860429 | + | 1.93255i | ||||
\(979\) | −3.89113 | + | 11.9757i | −0.124361 | + | 0.382744i | ||||
\(980\) | 18.2043 | − | 40.2239i | 0.581515 | − | 1.28491i | ||||
\(981\) | 24.0343i | 0.767355i | ||||||||
\(982\) | 42.1633 | + | 18.7723i | 1.34549 | + | 0.599049i | ||||
\(983\) | −4.99623 | + | 8.65373i | −0.159355 | + | 0.276011i | −0.934636 | − | 0.355605i | \(-0.884275\pi\) |
0.775281 | + | 0.631616i | \(0.217608\pi\) | |||||||
\(984\) | −1.88182 | − | 5.69614i | −0.0599903 | − | 0.181586i | ||||
\(985\) | 8.03604 | + | 13.9188i | 0.256049 | + | 0.443491i | ||||
\(986\) | 36.8503 | − | 26.7733i | 1.17355 | − | 0.852635i | ||||
\(987\) | −62.8684 | − | 3.48752i | −2.00112 | − | 0.111009i | ||||
\(988\) | −2.30340 | + | 7.08915i | −0.0732811 | + | 0.225536i | ||||
\(989\) | −24.8904 | + | 5.29062i | −0.791469 | + | 0.168232i | ||||
\(990\) | −44.3179 | + | 4.65799i | −1.40851 | + | 0.148041i | ||||
\(991\) | 7.75876 | + | 17.4265i | 0.246465 | + | 0.553570i | 0.993839 | − | 0.110834i | \(-0.0353522\pi\) |
−0.747374 | + | 0.664404i | \(0.768686\pi\) | |||||||
\(992\) | −22.7576 | + | 25.2749i | −0.722555 | + | 0.802478i | ||||
\(993\) | −61.8196 | −1.96178 | ||||||||
\(994\) | 12.3098 | + | 12.3853i | 0.390443 | + | 0.392837i | ||||
\(995\) | −13.7903 | + | 4.48073i | −0.437181 | + | 0.142049i | ||||
\(996\) | 0.555557 | + | 2.61369i | 0.0176035 | + | 0.0828180i | ||||
\(997\) | −10.6590 | + | 1.12031i | −0.337575 | + | 0.0354806i | −0.271800 | − | 0.962354i | \(-0.587619\pi\) |
−0.0657756 | + | 0.997834i | \(0.520952\pi\) | |||||||
\(998\) | 6.21973 | + | 3.59096i | 0.196882 | + | 0.113670i | ||||
\(999\) | −6.24990 | − | 29.4034i | −0.197738 | − | 0.930284i |
(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 | 287.2.z.a.4.6 | ✓ | 208 | |
7.2 | even | 3 | inner | 287.2.z.a.86.21 | yes | 208 | |
41.31 | even | 10 | inner | 287.2.z.a.277.21 | yes | 208 | |
287.72 | even | 30 | inner | 287.2.z.a.72.6 | yes | 208 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.z.a.4.6 | ✓ | 208 | 1.1 | even | 1 | trivial | |
287.2.z.a.72.6 | yes | 208 | 287.72 | even | 30 | inner | |
287.2.z.a.86.21 | yes | 208 | 7.2 | even | 3 | inner | |
287.2.z.a.277.21 | yes | 208 | 41.31 | even | 10 | inner |