Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(161,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 0, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.161");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.o (of order \(6\), degree \(2\), 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: | \(7.42608738798\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 161.1 | ||
Character | \(\chi\) | \(=\) | 930.161 |
Dual form | 930.2.o.d.491.10 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | − | 1.00000i | − | 0.707107i | ||||||
\(3\) | −1.71477 | + | 0.244025i | −0.990026 | + | 0.140888i | ||||
\(4\) | −1.00000 | −0.500000 | ||||||||
\(5\) | −0.866025 | − | 0.500000i | −0.387298 | − | 0.223607i | ||||
\(6\) | 0.244025 | + | 1.71477i | 0.0996230 | + | 0.700054i | ||||
\(7\) | 0.0693993 | + | 0.120203i | 0.0262305 | + | 0.0454325i | 0.878843 | − | 0.477112i | \(-0.158316\pi\) |
−0.852612 | + | 0.522544i | \(0.824983\pi\) | |||||||
\(8\) | 1.00000i | 0.353553i | ||||||||
\(9\) | 2.88090 | − | 0.836897i | 0.960301 | − | 0.278966i | ||||
\(10\) | −0.500000 | + | 0.866025i | −0.158114 | + | 0.273861i | ||||
\(11\) | −1.29408 | + | 2.24142i | −0.390181 | + | 0.675813i | −0.992473 | − | 0.122463i | \(-0.960921\pi\) |
0.602292 | + | 0.798275i | \(0.294254\pi\) | |||||||
\(12\) | 1.71477 | − | 0.244025i | 0.495013 | − | 0.0704441i | ||||
\(13\) | −1.11900 | − | 0.646055i | −0.310355 | − | 0.179183i | 0.336730 | − | 0.941601i | \(-0.390679\pi\) |
−0.647085 | + | 0.762418i | \(0.724012\pi\) | |||||||
\(14\) | 0.120203 | − | 0.0693993i | 0.0321256 | − | 0.0185477i | ||||
\(15\) | 1.60705 | + | 0.646055i | 0.414939 | + | 0.166811i | ||||
\(16\) | 1.00000 | 0.250000 | ||||||||
\(17\) | 3.25621 | + | 5.63993i | 0.789748 | + | 1.36788i | 0.926121 | + | 0.377225i | \(0.123122\pi\) |
−0.136374 | + | 0.990657i | \(0.543545\pi\) | |||||||
\(18\) | −0.836897 | − | 2.88090i | −0.197259 | − | 0.679035i | ||||
\(19\) | −2.87607 | − | 4.98149i | −0.659815 | − | 1.14283i | −0.980663 | − | 0.195703i | \(-0.937301\pi\) |
0.320848 | − | 0.947131i | \(-0.396032\pi\) | |||||||
\(20\) | 0.866025 | + | 0.500000i | 0.193649 | + | 0.111803i | ||||
\(21\) | −0.148337 | − | 0.189186i | −0.0323697 | − | 0.0412838i | ||||
\(22\) | 2.24142 | + | 1.29408i | 0.477872 | + | 0.275899i | ||||
\(23\) | 4.55419 | 0.949613 | 0.474807 | − | 0.880090i | \(-0.342518\pi\) | ||||
0.474807 | + | 0.880090i | \(0.342518\pi\) | |||||||
\(24\) | −0.244025 | − | 1.71477i | −0.0498115 | − | 0.350027i | ||||
\(25\) | 0.500000 | + | 0.866025i | 0.100000 | + | 0.173205i | ||||
\(26\) | −0.646055 | + | 1.11900i | −0.126702 | + | 0.219454i | ||||
\(27\) | −4.73588 | + | 2.13810i | −0.911420 | + | 0.411478i | ||||
\(28\) | −0.0693993 | − | 0.120203i | −0.0131152 | − | 0.0227163i | ||||
\(29\) | 3.95424 | 0.734285 | 0.367142 | − | 0.930165i | \(-0.380336\pi\) | ||||
0.367142 | + | 0.930165i | \(0.380336\pi\) | |||||||
\(30\) | 0.646055 | − | 1.60705i | 0.117953 | − | 0.293406i | ||||
\(31\) | 0.735196 | − | 5.51901i | 0.132045 | − | 0.991244i | ||||
\(32\) | − | 1.00000i | − | 0.176777i | ||||||
\(33\) | 1.67210 | − | 4.15931i | 0.291075 | − | 0.724044i | ||||
\(34\) | 5.63993 | − | 3.25621i | 0.967239 | − | 0.558436i | ||||
\(35\) | − | 0.138799i | − | 0.0234612i | ||||||
\(36\) | −2.88090 | + | 0.836897i | −0.480151 | + | 0.139483i | ||||
\(37\) | 3.55974 | − | 2.05521i | 0.585217 | − | 0.337875i | −0.177987 | − | 0.984033i | \(-0.556959\pi\) |
0.763204 | + | 0.646158i | \(0.223625\pi\) | |||||||
\(38\) | −4.98149 | + | 2.87607i | −0.808105 | + | 0.466560i | ||||
\(39\) | 2.07649 | + | 0.834774i | 0.332504 | + | 0.133671i | ||||
\(40\) | 0.500000 | − | 0.866025i | 0.0790569 | − | 0.136931i | ||||
\(41\) | 0.0318057 | + | 0.0183630i | 0.00496721 | + | 0.00286782i | 0.502482 | − | 0.864588i | \(-0.332420\pi\) |
−0.497514 | + | 0.867456i | \(0.665754\pi\) | |||||||
\(42\) | −0.189186 | + | 0.148337i | −0.0291920 | + | 0.0228889i | ||||
\(43\) | 0.173390 | − | 0.100107i | 0.0264418 | − | 0.0152662i | −0.486721 | − | 0.873558i | \(-0.661807\pi\) |
0.513163 | + | 0.858291i | \(0.328474\pi\) | |||||||
\(44\) | 1.29408 | − | 2.24142i | 0.195090 | − | 0.337906i | ||||
\(45\) | −2.91338 | − | 0.715677i | −0.434302 | − | 0.106687i | ||||
\(46\) | − | 4.55419i | − | 0.671478i | ||||||
\(47\) | − | 8.23865i | − | 1.20173i | −0.799350 | − | 0.600866i | \(-0.794823\pi\) | ||
0.799350 | − | 0.600866i | \(-0.205177\pi\) | |||||||
\(48\) | −1.71477 | + | 0.244025i | −0.247506 | + | 0.0352220i | ||||
\(49\) | 3.49037 | − | 6.04549i | 0.498624 | − | 0.863642i | ||||
\(50\) | 0.866025 | − | 0.500000i | 0.122474 | − | 0.0707107i | ||||
\(51\) | −6.95996 | − | 8.87660i | −0.974589 | − | 1.24297i | ||||
\(52\) | 1.11900 | + | 0.646055i | 0.155177 | + | 0.0895917i | ||||
\(53\) | −1.48496 | + | 2.57203i | −0.203975 | + | 0.353295i | −0.949806 | − | 0.312840i | \(-0.898720\pi\) |
0.745831 | + | 0.666136i | \(0.232053\pi\) | |||||||
\(54\) | 2.13810 | + | 4.73588i | 0.290959 | + | 0.644471i | ||||
\(55\) | 2.24142 | − | 1.29408i | 0.302233 | − | 0.174494i | ||||
\(56\) | −0.120203 | + | 0.0693993i | −0.0160628 | + | 0.00927387i | ||||
\(57\) | 6.14742 | + | 7.84031i | 0.814245 | + | 1.03847i | ||||
\(58\) | − | 3.95424i | − | 0.519218i | ||||||
\(59\) | 11.6793 | − | 6.74303i | 1.52051 | − | 0.877868i | 0.520804 | − | 0.853676i | \(-0.325632\pi\) |
0.999707 | − | 0.0241912i | \(-0.00770104\pi\) | |||||||
\(60\) | −1.60705 | − | 0.646055i | −0.207469 | − | 0.0834053i | ||||
\(61\) | − | 12.4057i | − | 1.58839i | −0.607662 | − | 0.794196i | \(-0.707892\pi\) | ||
0.607662 | − | 0.794196i | \(-0.292108\pi\) | |||||||
\(62\) | −5.51901 | − | 0.735196i | −0.700915 | − | 0.0933700i | ||||
\(63\) | 0.300530 | + | 0.288213i | 0.0378633 | + | 0.0363115i | ||||
\(64\) | −1.00000 | −0.125000 | ||||||||
\(65\) | 0.646055 | + | 1.11900i | 0.0801333 | + | 0.138795i | ||||
\(66\) | −4.15931 | − | 1.67210i | −0.511976 | − | 0.205821i | ||||
\(67\) | −5.56780 | + | 9.64371i | −0.680215 | + | 1.17817i | 0.294700 | + | 0.955590i | \(0.404780\pi\) |
−0.974915 | + | 0.222577i | \(0.928553\pi\) | |||||||
\(68\) | −3.25621 | − | 5.63993i | −0.394874 | − | 0.683941i | ||||
\(69\) | −7.80940 | + | 1.11134i | −0.940142 | + | 0.133789i | ||||
\(70\) | −0.138799 | −0.0165896 | ||||||||
\(71\) | −9.28503 | − | 5.36071i | −1.10193 | − | 0.636200i | −0.165203 | − | 0.986260i | \(-0.552828\pi\) |
−0.936727 | + | 0.350060i | \(0.886161\pi\) | |||||||
\(72\) | 0.836897 | + | 2.88090i | 0.0986293 | + | 0.339518i | ||||
\(73\) | 7.32249 | + | 4.22764i | 0.857033 | + | 0.494808i | 0.863018 | − | 0.505174i | \(-0.168572\pi\) |
−0.00598452 | + | 0.999982i | \(0.501905\pi\) | |||||||
\(74\) | −2.05521 | − | 3.55974i | −0.238914 | − | 0.413811i | ||||
\(75\) | −1.06872 | − | 1.36303i | −0.123405 | − | 0.157389i | ||||
\(76\) | 2.87607 | + | 4.98149i | 0.329908 | + | 0.571417i | ||||
\(77\) | −0.359234 | −0.0409385 | ||||||||
\(78\) | 0.834774 | − | 2.07649i | 0.0945196 | − | 0.235116i | ||||
\(79\) | 11.0043 | − | 6.35336i | 1.23809 | − | 0.714809i | 0.269383 | − | 0.963033i | \(-0.413180\pi\) |
0.968703 | + | 0.248224i | \(0.0798469\pi\) | |||||||
\(80\) | −0.866025 | − | 0.500000i | −0.0968246 | − | 0.0559017i | ||||
\(81\) | 7.59921 | − | 4.82204i | 0.844356 | − | 0.535782i | ||||
\(82\) | 0.0183630 | − | 0.0318057i | 0.00202786 | − | 0.00351235i | ||||
\(83\) | 5.41461 | − | 9.37837i | 0.594330 | − | 1.02941i | −0.399311 | − | 0.916816i | \(-0.630751\pi\) |
0.993641 | − | 0.112595i | \(-0.0359161\pi\) | |||||||
\(84\) | 0.148337 | + | 0.189186i | 0.0161849 | + | 0.0206419i | ||||
\(85\) | − | 6.51243i | − | 0.706372i | ||||||
\(86\) | −0.100107 | − | 0.173390i | −0.0107948 | − | 0.0186972i | ||||
\(87\) | −6.78064 | + | 0.964936i | −0.726960 | + | 0.103452i | ||||
\(88\) | −2.24142 | − | 1.29408i | −0.238936 | − | 0.137950i | ||||
\(89\) | 6.31328 | 0.669206 | 0.334603 | − | 0.942359i | \(-0.391398\pi\) | ||||
0.334603 | + | 0.942359i | \(0.391398\pi\) | |||||||
\(90\) | −0.715677 | + | 2.91338i | −0.0754390 | + | 0.307098i | ||||
\(91\) | − | 0.179343i | − | 0.0188003i | ||||||
\(92\) | −4.55419 | −0.474807 | ||||||||
\(93\) | 0.0860836 | + | 9.64327i | 0.00892645 | + | 0.999960i | ||||
\(94\) | −8.23865 | −0.849752 | ||||||||
\(95\) | 5.75213i | 0.590156i | ||||||||
\(96\) | 0.244025 | + | 1.71477i | 0.0249057 | + | 0.175013i | ||||
\(97\) | −0.338364 | −0.0343557 | −0.0171778 | − | 0.999852i | \(-0.505468\pi\) | ||||
−0.0171778 | + | 0.999852i | \(0.505468\pi\) | |||||||
\(98\) | −6.04549 | − | 3.49037i | −0.610687 | − | 0.352580i | ||||
\(99\) | −1.85229 | + | 7.54032i | −0.186162 | + | 0.757831i | ||||
\(100\) | −0.500000 | − | 0.866025i | −0.0500000 | − | 0.0866025i | ||||
\(101\) | 14.8778i | 1.48039i | 0.672390 | + | 0.740197i | \(0.265268\pi\) | ||||
−0.672390 | + | 0.740197i | \(0.734732\pi\) | |||||||
\(102\) | −8.87660 | + | 6.95996i | −0.878915 | + | 0.689138i | ||||
\(103\) | 0.482953 | − | 0.836499i | 0.0475868 | − | 0.0824227i | −0.841251 | − | 0.540645i | \(-0.818180\pi\) |
0.888838 | + | 0.458222i | \(0.151514\pi\) | |||||||
\(104\) | 0.646055 | − | 1.11900i | 0.0633509 | − | 0.109727i | ||||
\(105\) | 0.0338704 | + | 0.238008i | 0.00330541 | + | 0.0232272i | ||||
\(106\) | 2.57203 | + | 1.48496i | 0.249818 | + | 0.144232i | ||||
\(107\) | −5.45398 | + | 3.14886i | −0.527256 | + | 0.304411i | −0.739898 | − | 0.672719i | \(-0.765126\pi\) |
0.212642 | + | 0.977130i | \(0.431793\pi\) | |||||||
\(108\) | 4.73588 | − | 2.13810i | 0.455710 | − | 0.205739i | ||||
\(109\) | −9.55027 | −0.914750 | −0.457375 | − | 0.889274i | \(-0.651210\pi\) | ||||
−0.457375 | + | 0.889274i | \(0.651210\pi\) | |||||||
\(110\) | −1.29408 | − | 2.24142i | −0.123386 | − | 0.213711i | ||||
\(111\) | −5.60262 | + | 4.39289i | −0.531777 | + | 0.416955i | ||||
\(112\) | 0.0693993 | + | 0.120203i | 0.00655762 | + | 0.0113581i | ||||
\(113\) | 16.0187 | + | 9.24841i | 1.50691 | + | 0.870018i | 0.999968 | + | 0.00804031i | \(0.00255934\pi\) |
0.506947 | + | 0.861977i | \(0.330774\pi\) | |||||||
\(114\) | 7.84031 | − | 6.14742i | 0.734312 | − | 0.575758i | ||||
\(115\) | −3.94404 | − | 2.27709i | −0.367784 | − | 0.212340i | ||||
\(116\) | −3.95424 | −0.367142 | ||||||||
\(117\) | −3.76441 | − | 0.924734i | −0.348020 | − | 0.0854917i | ||||
\(118\) | −6.74303 | − | 11.6793i | −0.620746 | − | 1.07516i | ||||
\(119\) | −0.451958 | + | 0.782814i | −0.0414309 | + | 0.0717604i | ||||
\(120\) | −0.646055 | + | 1.60705i | −0.0589765 | + | 0.146703i | ||||
\(121\) | 2.15070 | + | 3.72512i | 0.195518 | + | 0.338647i | ||||
\(122\) | −12.4057 | −1.12316 | ||||||||
\(123\) | −0.0590206 | − | 0.0237270i | −0.00532171 | − | 0.00213940i | ||||
\(124\) | −0.735196 | + | 5.51901i | −0.0660226 | + | 0.495622i | ||||
\(125\) | − | 1.00000i | − | 0.0894427i | ||||||
\(126\) | 0.288213 | − | 0.300530i | 0.0256761 | − | 0.0267734i | ||||
\(127\) | 8.87111 | − | 5.12174i | 0.787183 | − | 0.454481i | −0.0517866 | − | 0.998658i | \(-0.516492\pi\) |
0.838970 | + | 0.544178i | \(0.183158\pi\) | |||||||
\(128\) | 1.00000i | 0.0883883i | ||||||||
\(129\) | −0.272897 | + | 0.213972i | −0.0240272 | + | 0.0188392i | ||||
\(130\) | 1.11900 | − | 0.646055i | 0.0981428 | − | 0.0566628i | ||||
\(131\) | −7.39021 | + | 4.26674i | −0.645686 | + | 0.372787i | −0.786802 | − | 0.617206i | \(-0.788264\pi\) |
0.141115 | + | 0.989993i | \(0.454931\pi\) | |||||||
\(132\) | −1.67210 | + | 4.15931i | −0.145537 | + | 0.362022i | ||||
\(133\) | 0.399194 | − | 0.691424i | 0.0346145 | − | 0.0599541i | ||||
\(134\) | 9.64371 | + | 5.56780i | 0.833090 | + | 0.480985i | ||||
\(135\) | 5.17044 | + | 0.516286i | 0.445001 | + | 0.0444348i | ||||
\(136\) | −5.63993 | + | 3.25621i | −0.483620 | + | 0.279218i | ||||
\(137\) | −3.60675 | + | 6.24708i | −0.308146 | + | 0.533724i | −0.977957 | − | 0.208808i | \(-0.933042\pi\) |
0.669811 | + | 0.742532i | \(0.266375\pi\) | |||||||
\(138\) | 1.11134 | + | 7.80940i | 0.0946033 | + | 0.664780i | ||||
\(139\) | − | 0.410130i | − | 0.0347868i | −0.999849 | − | 0.0173934i | \(-0.994463\pi\) | ||
0.999849 | − | 0.0173934i | \(-0.00553676\pi\) | |||||||
\(140\) | 0.138799i | 0.0117306i | ||||||||
\(141\) | 2.01044 | + | 14.1274i | 0.169310 | + | 1.18974i | ||||
\(142\) | −5.36071 | + | 9.28503i | −0.449861 | + | 0.779182i | ||||
\(143\) | 2.89616 | − | 1.67210i | 0.242189 | − | 0.139828i | ||||
\(144\) | 2.88090 | − | 0.836897i | 0.240075 | − | 0.0697414i | ||||
\(145\) | −3.42448 | − | 1.97712i | −0.284387 | − | 0.164191i | ||||
\(146\) | 4.22764 | − | 7.32249i | 0.349882 | − | 0.606014i | ||||
\(147\) | −4.50994 | + | 11.2184i | −0.371974 | + | 0.925278i | ||||
\(148\) | −3.55974 | + | 2.05521i | −0.292608 | + | 0.168938i | ||||
\(149\) | 18.3111 | − | 10.5719i | 1.50011 | − | 0.866088i | 0.500108 | − | 0.865963i | \(-0.333294\pi\) |
1.00000 | 0.000124352i | \(-3.95825e-5\pi\) | ||||||||
\(150\) | −1.36303 | + | 1.06872i | −0.111291 | + | 0.0872606i | ||||
\(151\) | 16.1753i | 1.31632i | 0.752876 | + | 0.658162i | \(0.228666\pi\) | ||||
−0.752876 | + | 0.658162i | \(0.771334\pi\) | |||||||
\(152\) | 4.98149 | − | 2.87607i | 0.404053 | − | 0.233280i | ||||
\(153\) | 14.1009 | + | 13.5230i | 1.13999 | + | 1.09327i | ||||
\(154\) | 0.359234i | 0.0289479i | ||||||||
\(155\) | −3.39620 | + | 4.41201i | −0.272790 | + | 0.354381i | ||||
\(156\) | −2.07649 | − | 0.834774i | −0.166252 | − | 0.0668354i | ||||
\(157\) | 22.4522 | 1.79188 | 0.895939 | − | 0.444176i | \(-0.146504\pi\) | ||||
0.895939 | + | 0.444176i | \(0.146504\pi\) | |||||||
\(158\) | −6.35336 | − | 11.0043i | −0.505446 | − | 0.875459i | ||||
\(159\) | 1.91873 | − | 4.77282i | 0.152165 | − | 0.378509i | ||||
\(160\) | −0.500000 | + | 0.866025i | −0.0395285 | + | 0.0684653i | ||||
\(161\) | 0.316057 | + | 0.547427i | 0.0249088 | + | 0.0431433i | ||||
\(162\) | −4.82204 | − | 7.59921i | −0.378855 | − | 0.597050i | ||||
\(163\) | −14.7360 | −1.15421 | −0.577105 | − | 0.816670i | \(-0.695818\pi\) | ||||
−0.577105 | + | 0.816670i | \(0.695818\pi\) | |||||||
\(164\) | −0.0318057 | − | 0.0183630i | −0.00248361 | − | 0.00143391i | ||||
\(165\) | −3.52774 | + | 2.76602i | −0.274634 | + | 0.215335i | ||||
\(166\) | −9.37837 | − | 5.41461i | −0.727903 | − | 0.420255i | ||||
\(167\) | 4.66240 | + | 8.07551i | 0.360787 | + | 0.624902i | 0.988091 | − | 0.153873i | \(-0.0491748\pi\) |
−0.627303 | + | 0.778775i | \(0.715841\pi\) | |||||||
\(168\) | 0.189186 | − | 0.148337i | 0.0145960 | − | 0.0114444i | ||||
\(169\) | −5.66523 | − | 9.81246i | −0.435787 | − | 0.754805i | ||||
\(170\) | −6.51243 | −0.499480 | ||||||||
\(171\) | −12.4547 | − | 11.9442i | −0.952432 | − | 0.913398i | ||||
\(172\) | −0.173390 | + | 0.100107i | −0.0132209 | + | 0.00763308i | ||||
\(173\) | 0.626926 | + | 0.361956i | 0.0476643 | + | 0.0275190i | 0.523643 | − | 0.851938i | \(-0.324573\pi\) |
−0.475978 | + | 0.879457i | \(0.657906\pi\) | |||||||
\(174\) | 0.964936 | + | 6.78064i | 0.0731516 | + | 0.514039i | ||||
\(175\) | −0.0693993 | + | 0.120203i | −0.00524609 | + | 0.00908650i | ||||
\(176\) | −1.29408 | + | 2.24142i | −0.0975452 | + | 0.168953i | ||||
\(177\) | −18.3818 | + | 14.4128i | −1.38166 | + | 1.08333i | ||||
\(178\) | − | 6.31328i | − | 0.473200i | ||||||
\(179\) | −0.272448 | − | 0.471894i | −0.0203638 | − | 0.0352711i | 0.855664 | − | 0.517532i | \(-0.173149\pi\) |
−0.876028 | + | 0.482261i | \(0.839816\pi\) | |||||||
\(180\) | 2.91338 | + | 0.715677i | 0.217151 | + | 0.0533434i | ||||
\(181\) | −13.2629 | − | 7.65732i | −0.985822 | − | 0.569164i | −0.0817989 | − | 0.996649i | \(-0.526067\pi\) |
−0.904023 | + | 0.427485i | \(0.859400\pi\) | |||||||
\(182\) | −0.179343 | −0.0132938 | ||||||||
\(183\) | 3.02732 | + | 21.2730i | 0.223786 | + | 1.57255i | ||||
\(184\) | 4.55419i | 0.335739i | ||||||||
\(185\) | −4.11043 | −0.302205 | ||||||||
\(186\) | 9.64327 | − | 0.0860836i | 0.707079 | − | 0.00631195i | ||||
\(187\) | −16.8552 | −1.23258 | ||||||||
\(188\) | 8.23865i | 0.600866i | ||||||||
\(189\) | −0.585673 | − | 0.420884i | −0.0426015 | − | 0.0306148i | ||||
\(190\) | 5.75213 | 0.417304 | ||||||||
\(191\) | 17.5360 | + | 10.1244i | 1.26886 | + | 0.732579i | 0.974773 | − | 0.223199i | \(-0.0716500\pi\) |
0.294090 | + | 0.955778i | \(0.404983\pi\) | |||||||
\(192\) | 1.71477 | − | 0.244025i | 0.123753 | − | 0.0176110i | ||||
\(193\) | −5.98112 | − | 10.3596i | −0.430531 | − | 0.745701i | 0.566389 | − | 0.824138i | \(-0.308340\pi\) |
−0.996919 | + | 0.0784377i | \(0.975007\pi\) | |||||||
\(194\) | 0.338364i | 0.0242931i | ||||||||
\(195\) | −1.38090 | − | 1.76118i | −0.0988885 | − | 0.126121i | ||||
\(196\) | −3.49037 | + | 6.04549i | −0.249312 | + | 0.431821i | ||||
\(197\) | −0.549043 | + | 0.950970i | −0.0391177 | + | 0.0677538i | −0.884921 | − | 0.465740i | \(-0.845788\pi\) |
0.845804 | + | 0.533494i | \(0.179121\pi\) | |||||||
\(198\) | 7.54032 | + | 1.85229i | 0.535867 | + | 0.131637i | ||||
\(199\) | −10.7314 | − | 6.19578i | −0.760730 | − | 0.439207i | 0.0688281 | − | 0.997629i | \(-0.478074\pi\) |
−0.829558 | + | 0.558421i | \(0.811407\pi\) | |||||||
\(200\) | −0.866025 | + | 0.500000i | −0.0612372 | + | 0.0353553i | ||||
\(201\) | 7.19421 | − | 17.8955i | 0.507440 | − | 1.26225i | ||||
\(202\) | 14.8778 | 1.04680 | ||||||||
\(203\) | 0.274422 | + | 0.475312i | 0.0192606 | + | 0.0333604i | ||||
\(204\) | 6.95996 | + | 8.87660i | 0.487294 | + | 0.621486i | ||||
\(205\) | −0.0183630 | − | 0.0318057i | −0.00128253 | − | 0.00222141i | ||||
\(206\) | −0.836499 | − | 0.482953i | −0.0582817 | − | 0.0336489i | ||||
\(207\) | 13.1202 | − | 3.81139i | 0.911915 | − | 0.264910i | ||||
\(208\) | −1.11900 | − | 0.646055i | −0.0775887 | − | 0.0447959i | ||||
\(209\) | 14.8875 | 1.02979 | ||||||||
\(210\) | 0.238008 | − | 0.0338704i | 0.0164241 | − | 0.00233728i | ||||
\(211\) | 9.89042 | + | 17.1307i | 0.680884 | + | 1.17933i | 0.974711 | + | 0.223468i | \(0.0717378\pi\) |
−0.293827 | + | 0.955859i | \(0.594929\pi\) | |||||||
\(212\) | 1.48496 | − | 2.57203i | 0.101988 | − | 0.176648i | ||||
\(213\) | 17.2299 | + | 6.92663i | 1.18057 | + | 0.474605i | ||||
\(214\) | 3.14886 | + | 5.45398i | 0.215251 | + | 0.372826i | ||||
\(215\) | −0.200214 | −0.0136545 | ||||||||
\(216\) | −2.13810 | − | 4.73588i | −0.145480 | − | 0.322235i | ||||
\(217\) | 0.714425 | − | 0.294643i | 0.0484983 | − | 0.0200017i | ||||
\(218\) | 9.55027i | 0.646826i | ||||||||
\(219\) | −13.5881 | − | 5.46258i | −0.918197 | − | 0.369127i | ||||
\(220\) | −2.24142 | + | 1.29408i | −0.151116 | + | 0.0872470i | ||||
\(221\) | − | 8.41477i | − | 0.566039i | ||||||
\(222\) | 4.39289 | + | 5.60262i | 0.294832 | + | 0.376023i | ||||
\(223\) | −10.3976 | + | 6.00306i | −0.696275 | + | 0.401994i | −0.805958 | − | 0.591972i | \(-0.798350\pi\) |
0.109684 | + | 0.993967i | \(0.465016\pi\) | |||||||
\(224\) | 0.120203 | − | 0.0693993i | 0.00803141 | − | 0.00463694i | ||||
\(225\) | 2.16523 | + | 2.07649i | 0.144348 | + | 0.138432i | ||||
\(226\) | 9.24841 | − | 16.0187i | 0.615195 | − | 1.06555i | ||||
\(227\) | −10.6047 | − | 6.12264i | −0.703860 | − | 0.406374i | 0.104923 | − | 0.994480i | \(-0.466540\pi\) |
−0.808784 | + | 0.588106i | \(0.799874\pi\) | |||||||
\(228\) | −6.14742 | − | 7.84031i | −0.407123 | − | 0.519237i | ||||
\(229\) | 11.7063 | − | 6.75865i | 0.773576 | − | 0.446624i | −0.0605728 | − | 0.998164i | \(-0.519293\pi\) |
0.834149 | + | 0.551539i | \(0.185959\pi\) | |||||||
\(230\) | −2.27709 | + | 3.94404i | −0.150147 | + | 0.260062i | ||||
\(231\) | 0.616005 | − | 0.0876622i | 0.0405301 | − | 0.00576775i | ||||
\(232\) | 3.95424i | 0.259609i | ||||||||
\(233\) | 1.77466i | 0.116262i | 0.998309 | + | 0.0581310i | \(0.0185141\pi\) | ||||
−0.998309 | + | 0.0581310i | \(0.981486\pi\) | |||||||
\(234\) | −0.924734 | + | 3.76441i | −0.0604518 | + | 0.246087i | ||||
\(235\) | −4.11933 | + | 7.13488i | −0.268715 | + | 0.465429i | ||||
\(236\) | −11.6793 | + | 6.74303i | −0.760256 | + | 0.438934i | ||||
\(237\) | −17.3196 | + | 13.5799i | −1.12503 | + | 0.882111i | ||||
\(238\) | 0.782814 | + | 0.451958i | 0.0507423 | + | 0.0292961i | ||||
\(239\) | −0.668618 | + | 1.15808i | −0.0432493 | + | 0.0749099i | −0.886840 | − | 0.462077i | \(-0.847104\pi\) |
0.843590 | + | 0.536987i | \(0.180438\pi\) | |||||||
\(240\) | 1.60705 | + | 0.646055i | 0.103735 | + | 0.0417027i | ||||
\(241\) | 18.2787 | − | 10.5532i | 1.17744 | − | 0.679793i | 0.222017 | − | 0.975043i | \(-0.428736\pi\) |
0.955420 | + | 0.295249i | \(0.0954028\pi\) | |||||||
\(242\) | 3.72512 | − | 2.15070i | 0.239460 | − | 0.138252i | ||||
\(243\) | −11.8542 | + | 10.1231i | −0.760449 | + | 0.649398i | ||||
\(244\) | 12.4057i | 0.794196i | ||||||||
\(245\) | −6.04549 | + | 3.49037i | −0.386232 | + | 0.222991i | ||||
\(246\) | −0.0237270 | + | 0.0590206i | −0.00151278 | + | 0.00376302i | ||||
\(247\) | 7.43239i | 0.472912i | ||||||||
\(248\) | 5.51901 | + | 0.735196i | 0.350458 | + | 0.0466850i | ||||
\(249\) | −6.99627 | + | 17.4031i | −0.443370 | + | 1.10288i | ||||
\(250\) | −1.00000 | −0.0632456 | ||||||||
\(251\) | −0.477311 | − | 0.826727i | −0.0301276 | − | 0.0521826i | 0.850568 | − | 0.525864i | \(-0.176258\pi\) |
−0.880696 | + | 0.473682i | \(0.842925\pi\) | |||||||
\(252\) | −0.300530 | − | 0.288213i | −0.0189316 | − | 0.0181557i | ||||
\(253\) | −5.89349 | + | 10.2078i | −0.370521 | + | 0.641761i | ||||
\(254\) | −5.12174 | − | 8.87111i | −0.321366 | − | 0.556623i | ||||
\(255\) | 1.58920 | + | 11.1673i | 0.0995194 | + | 0.699326i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | −4.58756 | − | 2.64863i | −0.286164 | − | 0.165217i | 0.350047 | − | 0.936732i | \(-0.386166\pi\) |
−0.636211 | + | 0.771515i | \(0.719499\pi\) | |||||||
\(258\) | 0.213972 | + | 0.272897i | 0.0133213 | + | 0.0169898i | ||||
\(259\) | 0.494086 | + | 0.285261i | 0.0307010 | + | 0.0177252i | ||||
\(260\) | −0.646055 | − | 1.11900i | −0.0400666 | − | 0.0693974i | ||||
\(261\) | 11.3918 | − | 3.30929i | 0.705134 | − | 0.204840i | ||||
\(262\) | 4.26674 | + | 7.39021i | 0.263600 | + | 0.456569i | ||||
\(263\) | −5.08186 | −0.313361 | −0.156680 | − | 0.987649i | \(-0.550079\pi\) | ||||
−0.156680 | + | 0.987649i | \(0.550079\pi\) | |||||||
\(264\) | 4.15931 | + | 1.67210i | 0.255988 | + | 0.102910i | ||||
\(265\) | 2.57203 | − | 1.48496i | 0.157998 | − | 0.0912205i | ||||
\(266\) | −0.691424 | − | 0.399194i | −0.0423940 | − | 0.0244762i | ||||
\(267\) | −10.8259 | + | 1.54060i | −0.662531 | + | 0.0942832i | ||||
\(268\) | 5.56780 | − | 9.64371i | 0.340107 | − | 0.589083i | ||||
\(269\) | 0.318041 | − | 0.550863i | 0.0193913 | − | 0.0335867i | −0.856167 | − | 0.516699i | \(-0.827161\pi\) |
0.875558 | + | 0.483113i | \(0.160494\pi\) | |||||||
\(270\) | 0.516286 | − | 5.17044i | 0.0314201 | − | 0.314663i | ||||
\(271\) | − | 26.1027i | − | 1.58562i | −0.609466 | − | 0.792812i | \(-0.708616\pi\) | ||
0.609466 | − | 0.792812i | \(-0.291384\pi\) | |||||||
\(272\) | 3.25621 | + | 5.63993i | 0.197437 | + | 0.341971i | ||||
\(273\) | 0.0437643 | + | 0.307533i | 0.00264873 | + | 0.0186127i | ||||
\(274\) | 6.24708 | + | 3.60675i | 0.377400 | + | 0.217892i | ||||
\(275\) | −2.58817 | −0.156072 | ||||||||
\(276\) | 7.80940 | − | 1.11134i | 0.470071 | − | 0.0668946i | ||||
\(277\) | − | 3.68011i | − | 0.221116i | −0.993870 | − | 0.110558i | \(-0.964736\pi\) | ||
0.993870 | − | 0.110558i | \(-0.0352638\pi\) | |||||||
\(278\) | −0.410130 | −0.0245979 | ||||||||
\(279\) | −2.50082 | − | 16.5150i | −0.149720 | − | 0.988728i | ||||
\(280\) | 0.138799 | 0.00829480 | ||||||||
\(281\) | − | 9.84129i | − | 0.587082i | −0.955946 | − | 0.293541i | \(-0.905166\pi\) | ||
0.955946 | − | 0.293541i | \(-0.0948337\pi\) | |||||||
\(282\) | 14.1274 | − | 2.01044i | 0.841276 | − | 0.119720i | ||||
\(283\) | 21.5285 | 1.27973 | 0.639867 | − | 0.768486i | \(-0.278989\pi\) | ||||
0.639867 | + | 0.768486i | \(0.278989\pi\) | |||||||
\(284\) | 9.28503 | + | 5.36071i | 0.550965 | + | 0.318100i | ||||
\(285\) | −1.40367 | − | 9.86361i | −0.0831460 | − | 0.584270i | ||||
\(286\) | −1.67210 | − | 2.89616i | −0.0988732 | − | 0.171253i | ||||
\(287\) | 0.00509752i | 0.000300897i | ||||||||
\(288\) | −0.836897 | − | 2.88090i | −0.0493146 | − | 0.169759i | ||||
\(289\) | −12.7058 | + | 22.0072i | −0.747402 | + | 1.29454i | ||||
\(290\) | −1.97712 | + | 3.42448i | −0.116101 | + | 0.201092i | ||||
\(291\) | 0.580218 | − | 0.0825694i | 0.0340130 | − | 0.00484030i | ||||
\(292\) | −7.32249 | − | 4.22764i | −0.428517 | − | 0.247404i | ||||
\(293\) | 2.79603 | − | 1.61429i | 0.163346 | − | 0.0943077i | −0.416099 | − | 0.909319i | \(-0.636603\pi\) |
0.579444 | + | 0.815012i | \(0.303270\pi\) | |||||||
\(294\) | 11.2184 | + | 4.50994i | 0.654270 | + | 0.263025i | ||||
\(295\) | −13.4861 | −0.785189 | ||||||||
\(296\) | 2.05521 | + | 3.55974i | 0.119457 | + | 0.206905i | ||||
\(297\) | 1.33623 | − | 13.3820i | 0.0775361 | − | 0.776500i | ||||
\(298\) | −10.5719 | − | 18.3111i | −0.612416 | − | 1.06074i | ||||
\(299\) | −5.09613 | − | 2.94225i | −0.294717 | − | 0.170155i | ||||
\(300\) | 1.06872 | + | 1.36303i | 0.0617025 | + | 0.0786943i | ||||
\(301\) | 0.0240663 | + | 0.0138947i | 0.00138716 | + | 0.000800878i | ||||
\(302\) | 16.1753 | 0.930781 | ||||||||
\(303\) | −3.63056 | − | 25.5120i | −0.208570 | − | 1.46563i | ||||
\(304\) | −2.87607 | − | 4.98149i | −0.164954 | − | 0.285708i | ||||
\(305\) | −6.20287 | + | 10.7437i | −0.355175 | + | 0.615182i | ||||
\(306\) | 13.5230 | − | 14.1009i | 0.773056 | − | 0.806093i | ||||
\(307\) | 3.93178 | + | 6.81003i | 0.224398 | + | 0.388669i | 0.956139 | − | 0.292914i | \(-0.0946250\pi\) |
−0.731740 | + | 0.681583i | \(0.761292\pi\) | |||||||
\(308\) | 0.359234 | 0.0204692 | ||||||||
\(309\) | −0.624028 | + | 1.55226i | −0.0354997 | + | 0.0883050i | ||||
\(310\) | 4.41201 | + | 3.39620i | 0.250585 | + | 0.192891i | ||||
\(311\) | 15.4244i | 0.874636i | 0.899307 | + | 0.437318i | \(0.144072\pi\) | ||||
−0.899307 | + | 0.437318i | \(0.855928\pi\) | |||||||
\(312\) | −0.834774 | + | 2.07649i | −0.0472598 | + | 0.117558i | ||||
\(313\) | 8.34344 | − | 4.81709i | 0.471599 | − | 0.272278i | −0.245310 | − | 0.969445i | \(-0.578890\pi\) |
0.716909 | + | 0.697167i | \(0.245556\pi\) | |||||||
\(314\) | − | 22.4522i | − | 1.26705i | ||||||
\(315\) | −0.116160 | − | 0.399865i | −0.00654488 | − | 0.0225299i | ||||
\(316\) | −11.0043 | + | 6.35336i | −0.619043 | + | 0.357405i | ||||
\(317\) | −2.47546 | + | 1.42921i | −0.139036 | + | 0.0802722i | −0.567904 | − | 0.823095i | \(-0.692246\pi\) |
0.428869 | + | 0.903367i | \(0.358912\pi\) | |||||||
\(318\) | −4.77282 | − | 1.91873i | −0.267646 | − | 0.107597i | ||||
\(319\) | −5.11712 | + | 8.86311i | −0.286504 | + | 0.496239i | ||||
\(320\) | 0.866025 | + | 0.500000i | 0.0484123 | + | 0.0279508i | ||||
\(321\) | 8.58394 | − | 6.73049i | 0.479109 | − | 0.375659i | ||||
\(322\) | 0.547427 | − | 0.316057i | 0.0305069 | − | 0.0176132i | ||||
\(323\) | 18.7302 | − | 32.4416i | 1.04217 | − | 1.80510i | ||||
\(324\) | −7.59921 | + | 4.82204i | −0.422178 | + | 0.267891i | ||||
\(325\) | − | 1.29211i | − | 0.0716734i | ||||||
\(326\) | 14.7360i | 0.816150i | ||||||||
\(327\) | 16.3766 | − | 2.33051i | 0.905625 | − | 0.128877i | ||||
\(328\) | −0.0183630 | + | 0.0318057i | −0.00101393 | + | 0.00175618i | ||||
\(329\) | 0.990312 | − | 0.571757i | 0.0545977 | − | 0.0315220i | ||||
\(330\) | 2.76602 | + | 3.52774i | 0.152265 | + | 0.194195i | ||||
\(331\) | 3.62142 | + | 2.09083i | 0.199051 | + | 0.114922i | 0.596213 | − | 0.802826i | \(-0.296671\pi\) |
−0.397162 | + | 0.917749i | \(0.630005\pi\) | |||||||
\(332\) | −5.41461 | + | 9.37837i | −0.297165 | + | 0.514705i | ||||
\(333\) | 8.53525 | − | 8.90001i | 0.467729 | − | 0.487717i | ||||
\(334\) | 8.07551 | − | 4.66240i | 0.441872 | − | 0.255115i | ||||
\(335\) | 9.64371 | − | 5.56780i | 0.526892 | − | 0.304201i | ||||
\(336\) | −0.148337 | − | 0.189186i | −0.00809243 | − | 0.0103209i | ||||
\(337\) | 25.8541i | 1.40836i | 0.710019 | + | 0.704182i | \(0.248686\pi\) | ||||
−0.710019 | + | 0.704182i | \(0.751314\pi\) | |||||||
\(338\) | −9.81246 | + | 5.66523i | −0.533727 | + | 0.308148i | ||||
\(339\) | −29.7253 | − | 11.9500i | −1.61446 | − | 0.649033i | ||||
\(340\) | 6.51243i | 0.353186i | ||||||||
\(341\) | 11.4190 | + | 8.78994i | 0.618374 | + | 0.476002i | ||||
\(342\) | −11.9442 | + | 12.4547i | −0.645870 | + | 0.673471i | ||||
\(343\) | 1.94051 | 0.104778 | ||||||||
\(344\) | 0.100107 | + | 0.173390i | 0.00539740 | + | 0.00934858i | ||||
\(345\) | 7.31881 | + | 2.94225i | 0.394031 | + | 0.158406i | ||||
\(346\) | 0.361956 | − | 0.626926i | 0.0194589 | − | 0.0337037i | ||||
\(347\) | −12.4503 | − | 21.5645i | −0.668366 | − | 1.15764i | −0.978361 | − | 0.206905i | \(-0.933661\pi\) |
0.309995 | − | 0.950738i | \(-0.399673\pi\) | |||||||
\(348\) | 6.78064 | − | 0.964936i | 0.363480 | − | 0.0517260i | ||||
\(349\) | 27.1625 | 1.45398 | 0.726988 | − | 0.686650i | \(-0.240920\pi\) | ||||
0.726988 | + | 0.686650i | \(0.240920\pi\) | |||||||
\(350\) | 0.120203 | + | 0.0693993i | 0.00642513 | + | 0.00370955i | ||||
\(351\) | 6.68078 | + | 0.667098i | 0.356594 | + | 0.0356071i | ||||
\(352\) | 2.24142 | + | 1.29408i | 0.119468 | + | 0.0689748i | ||||
\(353\) | 8.61106 | + | 14.9148i | 0.458320 | + | 0.793834i | 0.998872 | − | 0.0474763i | \(-0.0151179\pi\) |
−0.540552 | + | 0.841311i | \(0.681785\pi\) | |||||||
\(354\) | 14.4128 | + | 18.3818i | 0.766032 | + | 0.976984i | ||||
\(355\) | 5.36071 | + | 9.28503i | 0.284517 | + | 0.492798i | ||||
\(356\) | −6.31328 | −0.334603 | ||||||||
\(357\) | 0.583979 | − | 1.45264i | 0.0309075 | − | 0.0768818i | ||||
\(358\) | −0.471894 | + | 0.272448i | −0.0249404 | + | 0.0143993i | ||||
\(359\) | −18.1276 | − | 10.4660i | −0.956737 | − | 0.552372i | −0.0615698 | − | 0.998103i | \(-0.519611\pi\) |
−0.895167 | + | 0.445730i | \(0.852944\pi\) | |||||||
\(360\) | 0.715677 | − | 2.91338i | 0.0377195 | − | 0.153549i | ||||
\(361\) | −7.04352 | + | 12.1997i | −0.370712 | + | 0.642092i | ||||
\(362\) | −7.65732 | + | 13.2629i | −0.402460 | + | 0.697081i | ||||
\(363\) | −4.59699 | − | 5.86292i | −0.241279 | − | 0.307723i | ||||
\(364\) | 0.179343i | 0.00940013i | ||||||||
\(365\) | −4.22764 | − | 7.32249i | −0.221285 | − | 0.383277i | ||||
\(366\) | 21.2730 | − | 3.02732i | 1.11196 | − | 0.158240i | ||||
\(367\) | −21.8135 | − | 12.5941i | −1.13866 | − | 0.657404i | −0.192560 | − | 0.981285i | \(-0.561679\pi\) |
−0.946098 | + | 0.323881i | \(0.895012\pi\) | |||||||
\(368\) | 4.55419 | 0.237403 | ||||||||
\(369\) | 0.106997 | + | 0.0262840i | 0.00557004 | + | 0.00136829i | ||||
\(370\) | 4.11043i | 0.213691i | ||||||||
\(371\) | −0.412221 | −0.0214015 | ||||||||
\(372\) | −0.0860836 | − | 9.64327i | −0.00446322 | − | 0.499980i | ||||
\(373\) | −11.6188 | −0.601597 | −0.300798 | − | 0.953688i | \(-0.597253\pi\) | ||||
−0.300798 | + | 0.953688i | \(0.597253\pi\) | |||||||
\(374\) | 16.8552i | 0.871563i | ||||||||
\(375\) | 0.244025 | + | 1.71477i | 0.0126014 | + | 0.0885506i | ||||
\(376\) | 8.23865 | 0.424876 | ||||||||
\(377\) | −4.42480 | − | 2.55466i | −0.227889 | − | 0.131572i | ||||
\(378\) | −0.420884 | + | 0.585673i | −0.0216479 | + | 0.0301238i | ||||
\(379\) | −12.5544 | − | 21.7449i | −0.644878 | − | 1.11696i | −0.984330 | − | 0.176338i | \(-0.943575\pi\) |
0.339452 | − | 0.940623i | \(-0.389758\pi\) | |||||||
\(380\) | − | 5.75213i | − | 0.295078i | ||||||
\(381\) | −13.9621 | + | 10.9474i | −0.715301 | + | 0.560852i | ||||
\(382\) | 10.1244 | − | 17.5360i | 0.518011 | − | 0.897222i | ||||
\(383\) | −5.90538 | + | 10.2284i | −0.301751 | + | 0.522648i | −0.976533 | − | 0.215369i | \(-0.930904\pi\) |
0.674782 | + | 0.738017i | \(0.264238\pi\) | |||||||
\(384\) | −0.244025 | − | 1.71477i | −0.0124529 | − | 0.0875067i | ||||
\(385\) | 0.311106 | + | 0.179617i | 0.0158554 | + | 0.00915412i | ||||
\(386\) | −10.3596 | + | 5.98112i | −0.527290 | + | 0.304431i | ||||
\(387\) | 0.415742 | − | 0.433508i | 0.0211333 | − | 0.0220365i | ||||
\(388\) | 0.338364 | 0.0171778 | ||||||||
\(389\) | −6.14668 | − | 10.6464i | −0.311649 | − | 0.539792i | 0.667070 | − | 0.744995i | \(-0.267548\pi\) |
−0.978720 | + | 0.205203i | \(0.934215\pi\) | |||||||
\(390\) | −1.76118 | + | 1.38090i | −0.0891808 | + | 0.0699248i | ||||
\(391\) | 14.8294 | + | 25.6853i | 0.749955 | + | 1.29896i | ||||
\(392\) | 6.04549 | + | 3.49037i | 0.305344 | + | 0.176290i | ||||
\(393\) | 11.6314 | − | 9.11990i | 0.586724 | − | 0.460038i | ||||
\(394\) | 0.950970 | + | 0.549043i | 0.0479092 | + | 0.0276604i | ||||
\(395\) | −12.7067 | −0.639345 | ||||||||
\(396\) | 1.85229 | − | 7.54032i | 0.0930812 | − | 0.378915i | ||||
\(397\) | −6.77103 | − | 11.7278i | −0.339828 | − | 0.588600i | 0.644572 | − | 0.764544i | \(-0.277036\pi\) |
−0.984400 | + | 0.175944i | \(0.943702\pi\) | |||||||
\(398\) | −6.19578 | + | 10.7314i | −0.310567 | + | 0.537917i | ||||
\(399\) | −0.515803 | + | 1.28305i | −0.0258224 | + | 0.0642329i | ||||
\(400\) | 0.500000 | + | 0.866025i | 0.0250000 | + | 0.0433013i | ||||
\(401\) | −27.0123 | −1.34893 | −0.674464 | − | 0.738308i | \(-0.735625\pi\) | ||||
−0.674464 | + | 0.738308i | \(0.735625\pi\) | |||||||
\(402\) | −17.8955 | − | 7.19421i | −0.892545 | − | 0.358815i | ||||
\(403\) | −4.38827 | + | 5.70080i | −0.218595 | + | 0.283977i | ||||
\(404\) | − | 14.8778i | − | 0.740197i | ||||||
\(405\) | −8.99213 | + | 0.376405i | −0.446822 | + | 0.0187037i | ||||
\(406\) | 0.475312 | − | 0.274422i | 0.0235894 | − | 0.0136193i | ||||
\(407\) | 10.6385i | 0.527329i | ||||||||
\(408\) | 8.87660 | − | 6.95996i | 0.439457 | − | 0.344569i | ||||
\(409\) | 12.3475 | − | 7.12882i | 0.610543 | − | 0.352497i | −0.162635 | − | 0.986686i | \(-0.551999\pi\) |
0.773178 | + | 0.634189i | \(0.218666\pi\) | |||||||
\(410\) | −0.0318057 | + | 0.0183630i | −0.00157077 | + | 0.000906885i | ||||
\(411\) | 4.66032 | − | 11.5925i | 0.229877 | − | 0.571815i | ||||
\(412\) | −0.482953 | + | 0.836499i | −0.0237934 | + | 0.0412114i | ||||
\(413\) | 1.62107 | + | 0.935923i | 0.0797675 | + | 0.0460538i | ||||
\(414\) | −3.81139 | − | 13.1202i | −0.187319 | − | 0.644821i | ||||
\(415\) | −9.37837 | + | 5.41461i | −0.460366 | + | 0.265793i | ||||
\(416\) | −0.646055 | + | 1.11900i | −0.0316755 | + | 0.0548635i | ||||
\(417\) | 0.100082 | + | 0.703280i | 0.00490104 | + | 0.0344398i | ||||
\(418\) | − | 14.8875i | − | 0.728170i | ||||||
\(419\) | − | 19.9657i | − | 0.975389i | −0.873014 | − | 0.487694i | \(-0.837838\pi\) | ||
0.873014 | − | 0.487694i | \(-0.162162\pi\) | |||||||
\(420\) | −0.0338704 | − | 0.238008i | −0.00165271 | − | 0.0116136i | ||||
\(421\) | −12.8991 | + | 22.3420i | −0.628666 | + | 1.08888i | 0.359154 | + | 0.933278i | \(0.383065\pi\) |
−0.987820 | + | 0.155602i | \(0.950268\pi\) | |||||||
\(422\) | 17.1307 | − | 9.89042i | 0.833910 | − | 0.481458i | ||||
\(423\) | −6.89491 | − | 23.7348i | −0.335242 | − | 1.15402i | ||||
\(424\) | −2.57203 | − | 1.48496i | −0.124909 | − | 0.0721161i | ||||
\(425\) | −3.25621 | + | 5.63993i | −0.157950 | + | 0.273577i | ||||
\(426\) | 6.92663 | − | 17.2299i | 0.335596 | − | 0.834790i | ||||
\(427\) | 1.49121 | − | 0.860950i | 0.0721646 | − | 0.0416643i | ||||
\(428\) | 5.45398 | − | 3.14886i | 0.263628 | − | 0.152206i | ||||
\(429\) | −4.55822 | + | 3.57401i | −0.220073 | + | 0.172555i | ||||
\(430\) | 0.200214i | 0.00965517i | ||||||||
\(431\) | 20.9306 | − | 12.0843i | 1.00819 | − | 0.582081i | 0.0975312 | − | 0.995232i | \(-0.468905\pi\) |
0.910662 | + | 0.413152i | \(0.135572\pi\) | |||||||
\(432\) | −4.73588 | + | 2.13810i | −0.227855 | + | 0.102870i | ||||
\(433\) | 16.7926i | 0.806999i | 0.914980 | + | 0.403500i | \(0.132206\pi\) | ||||
−0.914980 | + | 0.403500i | \(0.867794\pi\) | |||||||
\(434\) | −0.294643 | − | 0.714425i | −0.0141433 | − | 0.0342935i | ||||
\(435\) | 6.35467 | + | 2.55466i | 0.304683 | + | 0.122487i | ||||
\(436\) | 9.55027 | 0.457375 | ||||||||
\(437\) | −13.0981 | − | 22.6867i | −0.626569 | − | 1.08525i | ||||
\(438\) | −5.46258 | + | 13.5881i | −0.261012 | + | 0.649264i | ||||
\(439\) | −4.21190 | + | 7.29522i | −0.201023 | + | 0.348182i | −0.948858 | − | 0.315702i | \(-0.897760\pi\) |
0.747835 | + | 0.663884i | \(0.231093\pi\) | |||||||
\(440\) | 1.29408 | + | 2.24142i | 0.0616930 | + | 0.106855i | ||||
\(441\) | 4.99595 | − | 20.3376i | 0.237903 | − | 0.968455i | ||||
\(442\) | −8.41477 | −0.400250 | ||||||||
\(443\) | −4.93112 | − | 2.84698i | −0.234285 | − | 0.135264i | 0.378263 | − | 0.925698i | \(-0.376522\pi\) |
−0.612547 | + | 0.790434i | \(0.709855\pi\) | |||||||
\(444\) | 5.60262 | − | 4.39289i | 0.265889 | − | 0.208478i | ||||
\(445\) | −5.46746 | − | 3.15664i | −0.259182 | − | 0.149639i | ||||
\(446\) | 6.00306 | + | 10.3976i | 0.284253 | + | 0.492341i | ||||
\(447\) | −28.8197 | + | 22.5969i | −1.36312 | + | 1.06880i | ||||
\(448\) | −0.0693993 | − | 0.120203i | −0.00327881 | − | 0.00567906i | ||||
\(449\) | −27.1961 | −1.28346 | −0.641731 | − | 0.766930i | \(-0.721783\pi\) | ||||
−0.641731 | + | 0.766930i | \(0.721783\pi\) | |||||||
\(450\) | 2.07649 | − | 2.16523i | 0.0978865 | − | 0.102070i | ||||
\(451\) | −0.0823184 | + | 0.0475265i | −0.00387622 | + | 0.00223794i | ||||
\(452\) | −16.0187 | − | 9.24841i | −0.753457 | − | 0.435009i | ||||
\(453\) | −3.94717 | − | 27.7369i | −0.185454 | − | 1.30319i | ||||
\(454\) | −6.12264 | + | 10.6047i | −0.287350 | + | 0.497704i | ||||
\(455\) | −0.0896715 | + | 0.155316i | −0.00420387 | + | 0.00728131i | ||||
\(456\) | −7.84031 | + | 6.14742i | −0.367156 | + | 0.287879i | ||||
\(457\) | − | 22.1433i | − | 1.03582i | −0.855435 | − | 0.517910i | \(-0.826710\pi\) | ||
0.855435 | − | 0.517910i | \(-0.173290\pi\) | |||||||
\(458\) | −6.75865 | − | 11.7063i | −0.315811 | − | 0.547001i | ||||
\(459\) | −27.4798 | − | 19.7479i | −1.28265 | − | 0.921751i | ||||
\(460\) | 3.94404 | + | 2.27709i | 0.183892 | + | 0.106170i | ||||
\(461\) | 9.56201 | 0.445347 | 0.222674 | − | 0.974893i | \(-0.428522\pi\) | ||||
0.222674 | + | 0.974893i | \(0.428522\pi\) | |||||||
\(462\) | −0.0876622 | − | 0.616005i | −0.00407841 | − | 0.0286591i | ||||
\(463\) | − | 6.71621i | − | 0.312129i | −0.987747 | − | 0.156064i | \(-0.950119\pi\) | ||
0.987747 | − | 0.156064i | \(-0.0498807\pi\) | |||||||
\(464\) | 3.95424 | 0.183571 | ||||||||
\(465\) | 4.74708 | − | 8.39436i | 0.220141 | − | 0.389279i | ||||
\(466\) | 1.77466 | 0.0822096 | ||||||||
\(467\) | 5.96215i | 0.275895i | 0.990440 | + | 0.137948i | \(0.0440506\pi\) | ||||
−0.990440 | + | 0.137948i | \(0.955949\pi\) | |||||||
\(468\) | 3.76441 | + | 0.924734i | 0.174010 | + | 0.0427458i | ||||
\(469\) | −1.54561 | −0.0713694 | ||||||||
\(470\) | 7.13488 | + | 4.11933i | 0.329108 | + | 0.190010i | ||||
\(471\) | −38.5004 | + | 5.47890i | −1.77401 | + | 0.252454i | ||||
\(472\) | 6.74303 | + | 11.6793i | 0.310373 | + | 0.537582i | ||||
\(473\) | 0.518187i | 0.0238262i | ||||||||
\(474\) | 13.5799 | + | 17.3196i | 0.623746 | + | 0.795515i | ||||
\(475\) | 2.87607 | − | 4.98149i | 0.131963 | − | 0.228567i | ||||
\(476\) | 0.451958 | − | 0.782814i | 0.0207155 | − | 0.0358802i | ||||
\(477\) | −2.12551 | + | 8.65253i | −0.0973203 | + | 0.396172i | ||||
\(478\) | 1.15808 | + | 0.668618i | 0.0529693 | + | 0.0305819i | ||||
\(479\) | −31.3148 | + | 18.0796i | −1.43081 | + | 0.826078i | −0.997182 | − | 0.0750143i | \(-0.976100\pi\) |
−0.433627 | + | 0.901092i | \(0.642766\pi\) | |||||||
\(480\) | 0.646055 | − | 1.60705i | 0.0294882 | − | 0.0733515i | ||||
\(481\) | −5.31113 | −0.242167 | ||||||||
\(482\) | −10.5532 | − | 18.2787i | −0.480687 | − | 0.832573i | ||||
\(483\) | −0.675553 | − | 0.861589i | −0.0307387 | − | 0.0392036i | ||||
\(484\) | −2.15070 | − | 3.72512i | −0.0977591 | − | 0.169324i | ||||
\(485\) | 0.293032 | + | 0.169182i | 0.0133059 | + | 0.00768216i | ||||
\(486\) | 10.1231 | + | 11.8542i | 0.459194 | + | 0.537719i | ||||
\(487\) | −1.86997 | − | 1.07963i | −0.0847364 | − | 0.0489226i | 0.457033 | − | 0.889450i | \(-0.348912\pi\) |
−0.541769 | + | 0.840527i | \(0.682245\pi\) | |||||||
\(488\) | 12.4057 | 0.561581 | ||||||||
\(489\) | 25.2689 | − | 3.59595i | 1.14270 | − | 0.162615i | ||||
\(490\) | 3.49037 | + | 6.04549i | 0.157679 | + | 0.273108i | ||||
\(491\) | −2.38639 | + | 4.13336i | −0.107696 | + | 0.186536i | −0.914837 | − | 0.403824i | \(-0.867681\pi\) |
0.807140 | + | 0.590360i | \(0.201014\pi\) | |||||||
\(492\) | 0.0590206 | + | 0.0237270i | 0.00266086 | + | 0.00106970i | ||||
\(493\) | 12.8759 | + | 22.3016i | 0.579899 | + | 1.00442i | ||||
\(494\) | 7.43239 | 0.334399 | ||||||||
\(495\) | 5.37429 | − | 5.60396i | 0.241556 | − | 0.251879i | ||||
\(496\) | 0.735196 | − | 5.51901i | 0.0330113 | − | 0.247811i | ||||
\(497\) | − | 1.48812i | − | 0.0667513i | ||||||
\(498\) | 17.4031 | + | 6.99627i | 0.779851 | + | 0.313510i | ||||
\(499\) | 11.4636 | − | 6.61852i | 0.513181 | − | 0.296285i | −0.220959 | − | 0.975283i | \(-0.570919\pi\) |
0.734140 | + | 0.678998i | \(0.237585\pi\) | |||||||
\(500\) | 1.00000i | 0.0447214i | ||||||||
\(501\) | −9.96559 | − | 12.7099i | −0.445230 | − | 0.567838i | ||||
\(502\) | −0.826727 | + | 0.477311i | −0.0368986 | + | 0.0213034i | ||||
\(503\) | 8.00686 | − | 4.62276i | 0.357008 | − | 0.206119i | −0.310759 | − | 0.950489i | \(-0.600583\pi\) |
0.667768 | + | 0.744370i | \(0.267250\pi\) | |||||||
\(504\) | −0.288213 | + | 0.300530i | −0.0128380 | + | 0.0133867i | ||||
\(505\) | 7.43889 | − | 12.8845i | 0.331026 | − | 0.573354i | ||||
\(506\) | 10.2078 | + | 5.89349i | 0.453793 | + | 0.261998i | ||||
\(507\) | 12.1091 | + | 15.4437i | 0.537783 | + | 0.685879i | ||||
\(508\) | −8.87111 | + | 5.12174i | −0.393592 | + | 0.227240i | ||||
\(509\) | 6.81409 | − | 11.8024i | 0.302029 | − | 0.523130i | −0.674566 | − | 0.738214i | \(-0.735669\pi\) |
0.976595 | + | 0.215084i | \(0.0690026\pi\) | |||||||
\(510\) | 11.1673 | − | 1.58920i | 0.494498 | − | 0.0703708i | ||||
\(511\) | 1.17358i | 0.0519162i | ||||||||
\(512\) | − | 1.00000i | − | 0.0441942i | ||||||
\(513\) | 24.2716 | + | 17.4424i | 1.07162 | + | 0.770101i | ||||
\(514\) | −2.64863 | + | 4.58756i | −0.116826 | + | 0.202349i | ||||
\(515\) | −0.836499 | + | 0.482953i | −0.0368606 | + | 0.0212815i | ||||
\(516\) | 0.272897 | − | 0.213972i | 0.0120136 | − | 0.00941961i | ||||
\(517\) | 18.4663 | + | 10.6615i | 0.812145 | + | 0.468892i | ||||
\(518\) | 0.285261 | − | 0.494086i | 0.0125336 | − | 0.0217089i | ||||
\(519\) | −1.16336 | − | 0.467687i | −0.0510660 | − | 0.0205292i | ||||
\(520\) | −1.11900 | + | 0.646055i | −0.0490714 | + | 0.0283314i | ||||
\(521\) | −32.0945 | + | 18.5298i | −1.40609 | + | 0.811805i | −0.995008 | − | 0.0997951i | \(-0.968181\pi\) |
−0.411079 | + | 0.911600i | \(0.634848\pi\) | |||||||
\(522\) | −3.30929 | − | 11.3918i | −0.144844 | − | 0.498605i | ||||
\(523\) | − | 29.4901i | − | 1.28951i | −0.764388 | − | 0.644756i | \(-0.776959\pi\) | ||
0.764388 | − | 0.644756i | \(-0.223041\pi\) | |||||||
\(524\) | 7.39021 | − | 4.26674i | 0.322843 | − | 0.186394i | ||||
\(525\) | 0.0896715 | − | 0.223056i | 0.00391359 | − | 0.00973498i | ||||
\(526\) | 5.08186i | 0.221579i | ||||||||
\(527\) | 33.5208 | − | 13.8246i | 1.46019 | − | 0.602210i | ||||
\(528\) | 1.67210 | − | 4.15931i | 0.0727687 | − | 0.181011i | ||||
\(529\) | −2.25939 | −0.0982343 | ||||||||
\(530\) | −1.48496 | − | 2.57203i | −0.0645026 | − | 0.111722i | ||||
\(531\) | 28.0036 | − | 29.2004i | 1.21525 | − | 1.26719i | ||||
\(532\) | −0.399194 | + | 0.691424i | −0.0173073 | + | 0.0299771i | ||||
\(533\) | −0.0237270 | − | 0.0410964i | −0.00102773 | − | 0.00178008i | ||||
\(534\) | 1.54060 | + | 10.8259i | 0.0666683 | + | 0.468480i | ||||
\(535\) | 6.29771 | 0.272274 | ||||||||
\(536\) | −9.64371 | − | 5.56780i | −0.416545 | − | 0.240492i | ||||
\(537\) | 0.582342 | + | 0.742708i | 0.0251299 | + | 0.0320502i | ||||
\(538\) | −0.550863 | − | 0.318041i | −0.0237494 | − | 0.0137117i | ||||
\(539\) | 9.03365 | + | 15.6467i | 0.389107 | + | 0.673953i | ||||
\(540\) | −5.17044 | − | 0.516286i | −0.222500 | − | 0.0222174i | ||||
\(541\) | 0.929363 | + | 1.60970i | 0.0399564 | + | 0.0692066i | 0.885312 | − | 0.464997i | \(-0.153945\pi\) |
−0.845356 | + | 0.534204i | \(0.820611\pi\) | |||||||
\(542\) | −26.1027 | −1.12121 | ||||||||
\(543\) | 24.6114 | + | 9.89410i | 1.05618 | + | 0.424597i | ||||
\(544\) | 5.63993 | − | 3.25621i | 0.241810 | − | 0.139609i | ||||
\(545\) | 8.27077 | + | 4.77513i | 0.354281 | + | 0.204544i | ||||
\(546\) | 0.307533 | − | 0.0437643i | 0.0131612 | − | 0.00187294i | ||||
\(547\) | −14.1962 | + | 24.5886i | −0.606986 | + | 1.05133i | 0.384748 | + | 0.923022i | \(0.374288\pi\) |
−0.991734 | + | 0.128309i | \(0.959045\pi\) | |||||||
\(548\) | 3.60675 | − | 6.24708i | 0.154073 | − | 0.266862i | ||||
\(549\) | −10.3823 | − | 35.7397i | −0.443107 | − | 1.52533i | ||||
\(550\) | 2.58817i | 0.110360i | ||||||||
\(551\) | −11.3727 | − | 19.6980i | −0.484492 | − | 0.839165i | ||||
\(552\) | −1.11134 | − | 7.80940i | −0.0473016 | − | 0.332390i | ||||
\(553\) | 1.52739 | + | 0.881838i | 0.0649511 | + | 0.0374996i | ||||
\(554\) | −3.68011 | −0.156353 | ||||||||
\(555\) | 7.04846 | − | 1.00305i | 0.299190 | − | 0.0425771i | ||||
\(556\) | 0.410130i | 0.0173934i | ||||||||
\(557\) | 2.75277 | 0.116638 | 0.0583192 | − | 0.998298i | \(-0.481426\pi\) | ||||
0.0583192 | + | 0.998298i | \(0.481426\pi\) | |||||||
\(558\) | −16.5150 | + | 2.50082i | −0.699137 | + | 0.105868i | ||||
\(559\) | −0.258698 | −0.0109418 | ||||||||
\(560\) | − | 0.138799i | − | 0.00586531i | ||||||
\(561\) | 28.9029 | − | 4.11311i | 1.22028 | − | 0.173655i | ||||
\(562\) | −9.84129 | −0.415130 | ||||||||
\(563\) | −29.4580 | − | 17.0076i | −1.24151 | − | 0.716784i | −0.272105 | − | 0.962268i | \(-0.587720\pi\) |
−0.969401 | + | 0.245484i | \(0.921053\pi\) | |||||||
\(564\) | −2.01044 | − | 14.1274i | −0.0846548 | − | 0.594872i | ||||
\(565\) | −9.24841 | − | 16.0187i | −0.389084 | − | 0.673913i | ||||
\(566\) | − | 21.5285i | − | 0.904908i | ||||||
\(567\) | 1.10700 | + | 0.578802i | 0.0464898 | + | 0.0243074i | ||||
\(568\) | 5.36071 | − | 9.28503i | 0.224931 | − | 0.389591i | ||||
\(569\) | −3.13648 | + | 5.43255i | −0.131488 | + | 0.227744i | −0.924250 | − | 0.381787i | \(-0.875309\pi\) |
0.792762 | + | 0.609531i | \(0.208642\pi\) | |||||||
\(570\) | −9.86361 | + | 1.40367i | −0.413141 | + | 0.0587931i | ||||
\(571\) | 30.5621 | + | 17.6451i | 1.27899 | + | 0.738423i | 0.976662 | − | 0.214782i | \(-0.0689042\pi\) |
0.302324 | + | 0.953205i | \(0.402238\pi\) | |||||||
\(572\) | −2.89616 | + | 1.67210i | −0.121094 | + | 0.0699139i | ||||
\(573\) | −32.5410 | − | 13.0819i | −1.35942 | − | 0.546504i | ||||
\(574\) | 0.00509752 | 0.000212767 | ||||||||
\(575\) | 2.27709 | + | 3.94404i | 0.0949613 | + | 0.164478i | ||||
\(576\) | −2.88090 | + | 0.836897i | −0.120038 | + | 0.0348707i | ||||
\(577\) | −16.6655 | − | 28.8655i | −0.693795 | − | 1.20169i | −0.970585 | − | 0.240758i | \(-0.922604\pi\) |
0.276790 | − | 0.960930i | \(-0.410729\pi\) | |||||||
\(578\) | 22.0072 | + | 12.7058i | 0.915377 | + | 0.528493i | ||||
\(579\) | 12.7843 | + | 16.3048i | 0.531297 | + | 0.677606i | ||||
\(580\) | 3.42448 | + | 1.97712i | 0.142194 | + | 0.0820955i | ||||
\(581\) | 1.50308 | 0.0623583 | ||||||||
\(582\) | −0.0825694 | − | 0.580218i | −0.00342261 | − | 0.0240508i | ||||
\(583\) | −3.84333 | − | 6.65684i | −0.159174 | − | 0.275698i | ||||
\(584\) | −4.22764 | + | 7.32249i | −0.174941 | + | 0.303007i | ||||
\(585\) | 2.79771 | + | 2.68305i | 0.115671 | + | 0.110930i | ||||
\(586\) | −1.61429 | − | 2.79603i | −0.0666856 | − | 0.115503i | ||||
\(587\) | 38.7354 | 1.59878 | 0.799391 | − | 0.600811i | \(-0.205156\pi\) | ||||
0.799391 | + | 0.600811i | \(0.205156\pi\) | |||||||
\(588\) | 4.50994 | − | 11.2184i | 0.185987 | − | 0.462639i | ||||
\(589\) | −29.6074 | + | 12.2107i | −1.21995 | + | 0.503132i | ||||
\(590\) | 13.4861i | 0.555212i | ||||||||
\(591\) | 0.709424 | − | 1.76468i | 0.0291818 | − | 0.0725892i | ||||
\(592\) | 3.55974 | − | 2.05521i | 0.146304 | − | 0.0844688i | ||||
\(593\) | 1.94011i | 0.0796706i | 0.999206 | + | 0.0398353i | \(0.0126833\pi\) | ||||
−0.999206 | + | 0.0398353i | \(0.987317\pi\) | |||||||
\(594\) | −13.3820 | − | 1.33623i | −0.549068 | − | 0.0548263i | ||||
\(595\) | 0.782814 | − | 0.451958i | 0.0320922 | − | 0.0185285i | ||||
\(596\) | −18.3111 | + | 10.5719i | −0.750054 | + | 0.433044i | ||||
\(597\) | 19.9139 | + | 8.00563i | 0.815021 | + | 0.327649i | ||||
\(598\) | −2.94225 | + | 5.09613i | −0.120318 | + | 0.208396i | ||||
\(599\) | 1.34831 | + | 0.778446i | 0.0550904 | + | 0.0318065i | 0.527292 | − | 0.849684i | \(-0.323207\pi\) |
−0.472202 | + | 0.881490i | \(0.656541\pi\) | |||||||
\(600\) | 1.36303 | − | 1.06872i | 0.0556453 | − | 0.0436303i | ||||
\(601\) | 19.4855 | − | 11.2500i | 0.794830 | − | 0.458896i | −0.0468299 | − | 0.998903i | \(-0.514912\pi\) |
0.841660 | + | 0.540007i | \(0.181579\pi\) | |||||||
\(602\) | 0.0138947 | − | 0.0240663i | 0.000566306 | − | 0.000980871i | ||||
\(603\) | −7.96950 | + | 32.4423i | −0.324543 | + | 1.32115i | ||||
\(604\) | − | 16.1753i | − | 0.658162i | ||||||
\(605\) | − | 4.30140i | − | 0.174877i | ||||||
\(606\) | −25.5120 | + | 3.63056i | −1.03636 | + | 0.147481i | ||||
\(607\) | 11.9076 | − | 20.6245i | 0.483314 | − | 0.837124i | −0.516503 | − | 0.856286i | \(-0.672766\pi\) |
0.999816 | + | 0.0191616i | \(0.00609972\pi\) | |||||||
\(608\) | −4.98149 | + | 2.87607i | −0.202026 | + | 0.116640i | ||||
\(609\) | −0.586560 | − | 0.748088i | −0.0237686 | − | 0.0303140i | ||||
\(610\) | 10.7437 | + | 6.20287i | 0.434999 | + | 0.251147i | ||||
\(611\) | −5.32262 | + | 9.21906i | −0.215330 | + | 0.372963i | ||||
\(612\) | −14.1009 | − | 13.5230i | −0.569994 | − | 0.546633i | ||||
\(613\) | 29.6934 | − | 17.1435i | 1.19931 | − | 0.692420i | 0.238906 | − | 0.971043i | \(-0.423211\pi\) |
0.960401 | + | 0.278622i | \(0.0898778\pi\) | |||||||
\(614\) | 6.81003 | − | 3.93178i | 0.274831 | − | 0.158674i | ||||
\(615\) | 0.0392498 | + | 0.0500585i | 0.00158271 | + | 0.00201856i | ||||
\(616\) | − | 0.359234i | − | 0.0144739i | ||||||
\(617\) | 31.1992 | − | 18.0128i | 1.25603 | − | 0.725170i | 0.283730 | − | 0.958904i | \(-0.408428\pi\) |
0.972300 | + | 0.233734i | \(0.0750946\pi\) | |||||||
\(618\) | 1.55226 | + | 0.624028i | 0.0624411 | + | 0.0251021i | ||||
\(619\) | − | 34.6062i | − | 1.39094i | −0.718555 | − | 0.695470i | \(-0.755196\pi\) | ||
0.718555 | − | 0.695470i | \(-0.244804\pi\) | |||||||
\(620\) | 3.39620 | − | 4.41201i | 0.136395 | − | 0.177190i | ||||
\(621\) | −21.5681 | + | 9.73732i | −0.865496 | + | 0.390745i | ||||
\(622\) | 15.4244 | 0.618461 | ||||||||
\(623\) | 0.438137 | + | 0.758876i | 0.0175536 | + | 0.0304037i | ||||
\(624\) | 2.07649 | + | 0.834774i | 0.0831260 | + | 0.0334177i | ||||
\(625\) | −0.500000 | + | 0.866025i | −0.0200000 | + | 0.0346410i | ||||
\(626\) | −4.81709 | − | 8.34344i | −0.192530 | − | 0.333471i | ||||
\(627\) | −25.5287 | + | 3.63292i | −1.01952 | + | 0.145085i | ||||
\(628\) | −22.4522 | −0.895939 | ||||||||
\(629\) | 23.1825 | + | 13.3844i | 0.924347 | + | 0.533672i | ||||
\(630\) | −0.399865 | + | 0.116160i | −0.0159310 | + | 0.00462793i | ||||
\(631\) | 27.7348 | + | 16.0127i | 1.10411 | + | 0.637455i | 0.937296 | − | 0.348534i | \(-0.113320\pi\) |
0.166809 | + | 0.985989i | \(0.446654\pi\) | |||||||
\(632\) | 6.35336 | + | 11.0043i | 0.252723 | + | 0.437729i | ||||
\(633\) | −21.1402 | − | 26.9618i | −0.840246 | − | 1.07163i | ||||
\(634\) | 1.42921 | + | 2.47546i | 0.0567610 | + | 0.0983130i | ||||
\(635\) | −10.2435 | −0.406500 | ||||||||
\(636\) | −1.91873 | + | 4.77282i | −0.0760827 | + | 0.189255i | ||||
\(637\) | −7.81144 | + | 4.50994i | −0.309501 | + | 0.178690i | ||||
\(638\) | 8.86311 | + | 5.11712i | 0.350894 | + | 0.202589i | ||||
\(639\) | −31.2356 | − | 7.67308i | −1.23566 | − | 0.303542i | ||||
\(640\) | 0.500000 | − | 0.866025i | 0.0197642 | − | 0.0342327i | ||||
\(641\) | −22.3307 | + | 38.6779i | −0.882010 | + | 1.52769i | −0.0329073 | + | 0.999458i | \(0.510477\pi\) |
−0.849103 | + | 0.528228i | \(0.822857\pi\) | |||||||
\(642\) | −6.73049 | − | 8.58394i | −0.265631 | − | 0.338781i | ||||
\(643\) | 44.6908i | 1.76243i | 0.472714 | + | 0.881216i | \(0.343274\pi\) | ||||
−0.472714 | + | 0.881216i | \(0.656726\pi\) | |||||||
\(644\) | −0.316057 | − | 0.547427i | −0.0124544 | − | 0.0215717i | ||||
\(645\) | 0.343322 | − | 0.0488573i | 0.0135183 | − | 0.00192375i | ||||
\(646\) | −32.4416 | − | 18.7302i | −1.27640 | − | 0.736929i | ||||
\(647\) | 25.8469 | 1.01615 | 0.508073 | − | 0.861314i | \(-0.330358\pi\) | ||||
0.508073 | + | 0.861314i | \(0.330358\pi\) | |||||||
\(648\) | 4.82204 | + | 7.59921i | 0.189428 | + | 0.298525i | ||||
\(649\) | 34.9041i | 1.37011i | ||||||||
\(650\) | −1.29211 | −0.0506807 | ||||||||
\(651\) | −1.15318 | + | 0.679584i | −0.0451966 | + | 0.0266350i | ||||
\(652\) | 14.7360 | 0.577105 | ||||||||
\(653\) | − | 31.9363i | − | 1.24976i | −0.780719 | − | 0.624882i | \(-0.785147\pi\) | ||
0.780719 | − | 0.624882i | \(-0.214853\pi\) | |||||||
\(654\) | −2.33051 | − | 16.3766i | −0.0911301 | − | 0.640374i | ||||
\(655\) | 8.53349 | 0.333431 | ||||||||
\(656\) | 0.0318057 | + | 0.0183630i | 0.00124180 | + | 0.000716956i | ||||
\(657\) | 24.6335 | + | 6.05126i | 0.961044 | + | 0.236082i | ||||
\(658\) | −0.571757 | − | 0.990312i | −0.0222894 | − | 0.0386064i | ||||
\(659\) | 23.2040i | 0.903901i | 0.892043 | + | 0.451951i | \(0.149272\pi\) | ||||
−0.892043 | + | 0.451951i | \(0.850728\pi\) | |||||||
\(660\) | 3.52774 | − | 2.76602i | 0.137317 | − | 0.107667i | ||||
\(661\) | −16.3429 | + | 28.3067i | −0.635665 | + | 1.10100i | 0.350708 | + | 0.936485i | \(0.385941\pi\) |
−0.986374 | + | 0.164520i | \(0.947393\pi\) | |||||||
\(662\) | 2.09083 | − | 3.62142i | 0.0812623 | − | 0.140750i | ||||
\(663\) | 2.05342 | + | 14.4294i | 0.0797481 | + | 0.560393i | ||||
\(664\) | 9.37837 | + | 5.41461i | 0.363951 | + | 0.210127i | ||||
\(665\) | −0.691424 | + | 0.399194i | −0.0268123 | + | 0.0154801i | ||||
\(666\) | −8.90001 | − | 8.53525i | −0.344868 | − | 0.330734i | ||||
\(667\) | 18.0084 | 0.697286 | ||||||||
\(668\) | −4.66240 | − | 8.07551i | −0.180394 | − | 0.312451i | ||||
\(669\) | 16.3646 | − | 12.8312i | 0.632694 | − | 0.496082i | ||||
\(670\) | −5.56780 | − | 9.64371i | −0.215103 | − | 0.372569i | ||||
\(671\) | 27.8064 | + | 16.0541i | 1.07346 | + | 0.619760i | ||||
\(672\) | −0.189186 | + | 0.148337i | −0.00729801 | + | 0.00572222i | ||||
\(673\) | 17.0895 | + | 9.86660i | 0.658750 | + | 0.380329i | 0.791800 | − | 0.610780i | \(-0.209144\pi\) |
−0.133051 | + | 0.991109i | \(0.542477\pi\) | |||||||
\(674\) | 25.8541 | 0.995864 | ||||||||
\(675\) | −4.21959 | − | 3.03234i | −0.162412 | − | 0.116715i | ||||
\(676\) | 5.66523 | + | 9.81246i | 0.217893 | + | 0.377402i | ||||
\(677\) | 4.74370 | − | 8.21634i | 0.182315 | − | 0.315779i | −0.760353 | − | 0.649510i | \(-0.774974\pi\) |
0.942669 | + | 0.333730i | \(0.108307\pi\) | |||||||
\(678\) | −11.9500 | + | 29.7253i | −0.458936 | + | 1.14159i | ||||
\(679\) | −0.0234822 | − | 0.0406724i | −0.000901165 | − | 0.00156086i | ||||
\(680\) | 6.51243 | 0.249740 | ||||||||
\(681\) | 19.6788 | + | 7.91113i | 0.754093 | + | 0.303155i | ||||
\(682\) | 8.78994 | − | 11.4190i | 0.336584 | − | 0.437256i | ||||
\(683\) | 24.1664i | 0.924703i | 0.886697 | + | 0.462352i | \(0.152994\pi\) | ||||
−0.886697 | + | 0.462352i | \(0.847006\pi\) | |||||||
\(684\) | 12.4547 | + | 11.9442i | 0.476216 | + | 0.456699i | ||||
\(685\) | 6.24708 | − | 3.60675i | 0.238689 | − | 0.137807i | ||||
\(686\) | − | 1.94051i | − | 0.0740889i | ||||||
\(687\) | −18.4244 | + | 14.4462i | −0.702936 | + | 0.551157i | ||||
\(688\) | 0.173390 | − | 0.100107i | 0.00661044 | − | 0.00381654i | ||||
\(689\) | 3.32334 | − | 1.91873i | 0.126609 | − | 0.0730979i | ||||
\(690\) | 2.94225 | − | 7.31881i | 0.112010 | − | 0.278622i | ||||
\(691\) | −12.4677 | + | 21.5948i | −0.474295 | + | 0.821503i | −0.999567 | − | 0.0294313i | \(-0.990630\pi\) |
0.525272 | + | 0.850935i | \(0.323964\pi\) | |||||||
\(692\) | −0.626926 | − | 0.361956i | −0.0238321 | − | 0.0137595i | ||||
\(693\) | −1.03492 | + | 0.300642i | −0.0393133 | + | 0.0114204i | ||||
\(694\) | −21.5645 | + | 12.4503i | −0.818578 | + | 0.472606i | ||||
\(695\) | −0.205065 | + | 0.355183i | −0.00777855 | + | 0.0134729i | ||||
\(696\) | −0.964936 | − | 6.78064i | −0.0365758 | − | 0.257019i | ||||
\(697\) | 0.239176i | 0.00905942i | ||||||||
\(698\) | − | 27.1625i | − | 1.02812i | ||||||
\(699\) | −0.433063 | − | 3.04315i | −0.0163799 | − | 0.115102i | ||||
\(700\) | 0.0693993 | − | 0.120203i | 0.00262305 | − | 0.00454325i | ||||
\(701\) | 3.71436 | − | 2.14449i | 0.140290 | − | 0.0809962i | −0.428212 | − | 0.903678i | \(-0.640857\pi\) |
0.568502 | + | 0.822682i | \(0.307523\pi\) | |||||||
\(702\) | 0.667098 | − | 6.68078i | 0.0251780 | − | 0.252150i | ||||
\(703\) | −20.4761 | − | 11.8219i | −0.772270 | − | 0.445870i | ||||
\(704\) | 1.29408 | − | 2.24142i | 0.0487726 | − | 0.0844766i | ||||
\(705\) | 5.32262 | − | 13.2399i | 0.200462 | − | 0.498645i | ||||
\(706\) | 14.9148 | − | 8.61106i | 0.561326 | − | 0.324082i | ||||
\(707\) | −1.78836 | + | 1.03251i | −0.0672581 | + | 0.0388315i | ||||
\(708\) | 18.3818 | − | 14.4128i | 0.690832 | − | 0.541667i | ||||
\(709\) | 30.0757i | 1.12952i | 0.825257 | + | 0.564758i | \(0.191031\pi\) | ||||
−0.825257 | + | 0.564758i | \(0.808969\pi\) | |||||||
\(710\) | 9.28503 | − | 5.36071i | 0.348461 | − | 0.201184i | ||||
\(711\) | 26.3853 | − | 27.5129i | 0.989528 | − | 1.03182i | ||||
\(712\) | 6.31328i | 0.236600i | ||||||||
\(713\) | 3.34822 | − | 25.1346i | 0.125392 | − | 0.941298i | ||||
\(714\) | −1.45264 | − | 0.583979i | −0.0543636 | − | 0.0218549i | ||||
\(715\) | −3.34419 | −0.125066 | ||||||||
\(716\) | 0.272448 | + | 0.471894i | 0.0101819 | + | 0.0176355i | ||||
\(717\) | 0.863927 | − | 2.14901i | 0.0322640 | − | 0.0802561i | ||||
\(718\) | −10.4660 | + | 18.1276i | −0.390586 | + | 0.676515i | ||||
\(719\) | 16.9853 | + | 29.4193i | 0.633443 | + | 1.09716i | 0.986843 | + | 0.161683i | \(0.0516922\pi\) |
−0.353400 | + | 0.935472i | \(0.614974\pi\) | |||||||
\(720\) | −2.91338 | − | 0.715677i | −0.108575 | − | 0.0266717i | ||||
\(721\) | 0.134066 | 0.00499289 | ||||||||
\(722\) | 12.1997 | + | 7.04352i | 0.454027 | + | 0.262133i | ||||
\(723\) | −28.7686 | + | 22.5569i | −1.06992 | + | 0.838900i | ||||
\(724\) | 13.2629 | + | 7.65732i | 0.492911 | + | 0.284582i | ||||
\(725\) | 1.97712 | + | 3.42448i | 0.0734285 | + | 0.127182i | ||||
\(726\) | −5.86292 | + | 4.59699i | −0.217593 | + | 0.170610i | ||||
\(727\) | −7.64523 | − | 13.2419i | −0.283546 | − | 0.491116i | 0.688710 | − | 0.725037i | \(-0.258178\pi\) |
−0.972256 | + | 0.233921i | \(0.924844\pi\) | |||||||
\(728\) | 0.179343 | 0.00664690 | ||||||||
\(729\) | 17.8570 | − | 20.2516i | 0.661371 | − | 0.750059i | ||||
\(730\) | −7.32249 | + | 4.22764i | −0.271018 | + | 0.156472i | ||||
\(731\) | 1.12919 | + | 0.651939i | 0.0417647 | + | 0.0241128i | ||||
\(732\) | −3.02732 | − | 21.2730i | −0.111893 | − | 0.786274i | ||||
\(733\) | −7.52100 | + | 13.0268i | −0.277795 | + | 0.481154i | −0.970836 | − | 0.239743i | \(-0.922937\pi\) |
0.693042 | + | 0.720897i | \(0.256270\pi\) | |||||||
\(734\) | −12.5941 | + | 21.8135i | −0.464855 | + | 0.805152i | ||||
\(735\) | 9.51492 | − | 7.46045i | 0.350963 | − | 0.275183i | ||||
\(736\) | − | 4.55419i | − | 0.167870i | ||||||
\(737\) | −14.4104 | − | 24.9595i | −0.530813 | − | 0.919396i | ||||
\(738\) | 0.0262840 | − | 0.106997i | 0.000967527 | − | 0.00393862i | ||||
\(739\) | −21.7153 | − | 12.5374i | −0.798812 | − | 0.461194i | 0.0442436 | − | 0.999021i | \(-0.485912\pi\) |
−0.843056 | + | 0.537826i | \(0.819246\pi\) | |||||||
\(740\) | 4.11043 | 0.151102 | ||||||||
\(741\) | −1.81369 | − | 12.7449i | −0.0666276 | − | 0.468195i | ||||
\(742\) | 0.412221i | 0.0151331i | ||||||||
\(743\) | 42.6682 | 1.56534 | 0.782672 | − | 0.622434i | \(-0.213856\pi\) | ||||
0.782672 | + | 0.622434i | \(0.213856\pi\) | |||||||
\(744\) | −9.64327 | + | 0.0860836i | −0.353539 | + | 0.00315598i | ||||
\(745\) | −21.1439 | −0.774652 | ||||||||
\(746\) | 11.6188i | 0.425393i | ||||||||
\(747\) | 7.75022 | − | 31.5497i | 0.283566 | − | 1.15434i | ||||
\(748\) | 16.8552 | 0.616288 | ||||||||
\(749\) | −0.757005 | − | 0.437057i | −0.0276604 | − | 0.0159697i | ||||
\(750\) | 1.71477 | − | 0.244025i | 0.0626147 | − | 0.00891055i | ||||
\(751\) | 13.8231 | + | 23.9422i | 0.504411 | + | 0.873665i | 0.999987 | + | 0.00510032i | \(0.00162349\pi\) |
−0.495576 | + | 0.868564i | \(0.665043\pi\) | |||||||
\(752\) | − | 8.23865i | − | 0.300433i | ||||||
\(753\) | 1.02022 | + | 1.30117i | 0.0371790 | + | 0.0474174i | ||||
\(754\) | −2.55466 | + | 4.42480i | −0.0930352 | + | 0.161142i | ||||
\(755\) | 8.08763 | − | 14.0082i | 0.294339 | − | 0.509810i | ||||
\(756\) | 0.585673 | + | 0.420884i | 0.0213007 | + | 0.0153074i | ||||
\(757\) | −29.7395 | − | 17.1701i | −1.08090 | − | 0.624057i | −0.149760 | − | 0.988722i | \(-0.547850\pi\) |
−0.931139 | + | 0.364665i | \(0.881183\pi\) | |||||||
\(758\) | −21.7449 | + | 12.5544i | −0.789811 | + | 0.455997i | ||||
\(759\) | 7.61504 | − | 18.9423i | 0.276409 | − | 0.687561i | ||||
\(760\) | −5.75213 | −0.208652 | ||||||||
\(761\) | −0.261502 | − | 0.452935i | −0.00947944 | − | 0.0164189i | 0.861247 | − | 0.508187i | \(-0.169684\pi\) |
−0.870726 | + | 0.491768i | \(0.836351\pi\) | |||||||
\(762\) | 10.9474 | + | 13.9621i | 0.396582 | + | 0.505794i | ||||
\(763\) | −0.662782 | − | 1.14797i | −0.0239943 | − | 0.0415594i | ||||
\(764\) | −17.5360 | − | 10.1244i | −0.634432 | − | 0.366289i | ||||
\(765\) | −5.45023 | − | 18.7617i | −0.197053 | − | 0.678329i | ||||
\(766\) | 10.2284 | + | 5.90538i | 0.369568 | + | 0.213370i | ||||
\(767\) | −17.4255 | −0.629197 | ||||||||
\(768\) | −1.71477 | + | 0.244025i | −0.0618766 | + | 0.00880551i | ||||
\(769\) | −7.69298 | − | 13.3246i | −0.277416 | − | 0.480499i | 0.693326 | − | 0.720624i | \(-0.256145\pi\) |
−0.970742 | + | 0.240126i | \(0.922811\pi\) | |||||||
\(770\) | 0.179617 | − | 0.311106i | 0.00647294 | − | 0.0112115i | ||||
\(771\) | 8.51296 | + | 3.42232i | 0.306587 | + | 0.123252i | ||||
\(772\) | 5.98112 | + | 10.3596i | 0.215265 | + | 0.372850i | ||||
\(773\) | −28.7485 | −1.03401 | −0.517007 | − | 0.855981i | \(-0.672954\pi\) | ||||
−0.517007 | + | 0.855981i | \(0.672954\pi\) | |||||||
\(774\) | −0.433508 | − | 0.415742i | −0.0155821 | − | 0.0149435i | ||||
\(775\) | 5.14720 | − | 2.12281i | 0.184893 | − | 0.0762535i | ||||
\(776\) | − | 0.338364i | − | 0.0121466i | ||||||
\(777\) | −0.916858 | − | 0.368588i | −0.0328921 | − | 0.0132230i | ||||
\(778\) | −10.6464 | + | 6.14668i | −0.381691 | + | 0.220369i | ||||
\(779\) | − | 0.211253i | − | 0.00756893i | ||||||
\(780\) | 1.38090 | + | 1.76118i | 0.0494443 | + | 0.0630603i | ||||
\(781\) | 24.0312 | − | 13.8744i | 0.859903 | − | 0.496465i | ||||
\(782\) | 25.6853 | − | 14.8294i | 0.918503 | − | 0.530298i | ||||
\(783\) | −18.7268 | + | 8.45458i | −0.669241 | + | 0.302142i | ||||
\(784\) | 3.49037 | − | 6.04549i | 0.124656 | − | 0.215910i | ||||
\(785\) | −19.4442 | − | 11.2261i | −0.693992 | − | 0.400676i | ||||
\(786\) | −9.11990 | − | 11.6314i | −0.325296 | − | 0.414877i | ||||
\(787\) | −34.1679 | + | 19.7269i | −1.21795 | + | 0.703186i | −0.964480 | − | 0.264156i | \(-0.914907\pi\) |
−0.253475 | + | 0.967342i | \(0.581573\pi\) | |||||||
\(788\) | 0.549043 | − | 0.950970i | 0.0195588 | − | 0.0338769i | ||||
\(789\) | 8.71424 | − | 1.24010i | 0.310235 | − | 0.0441488i | ||||
\(790\) | 12.7067i | 0.452085i | ||||||||
\(791\) | 2.56733i | 0.0912839i | ||||||||
\(792\) | −7.54032 | − | 1.85229i | −0.267934 | − | 0.0658183i | ||||
\(793\) | −8.01479 | + | 13.8820i | −0.284614 | + | 0.492965i | ||||
\(794\) | −11.7278 | + | 6.77103i | −0.416203 | + | 0.240295i | ||||
\(795\) | −4.04808 | + | 3.17401i | −0.143571 | + | 0.112571i | ||||
\(796\) | 10.7314 | + | 6.19578i | 0.380365 | + | 0.219604i | ||||
\(797\) | −10.6929 | + | 18.5207i | −0.378763 | + | 0.656036i | −0.990883 | − | 0.134729i | \(-0.956984\pi\) |
0.612120 | + | 0.790765i | \(0.290317\pi\) | |||||||
\(798\) | 1.28305 | + | 0.515803i | 0.0454195 | + | 0.0182592i | ||||
\(799\) | 46.4654 | − | 26.8268i | 1.64383 | − | 0.949064i | ||||
\(800\) | 0.866025 | − | 0.500000i | 0.0306186 | − | 0.0176777i | ||||
\(801\) | 18.1879 | − | 5.28357i | 0.642640 | − | 0.186686i | ||||
\(802\) | 27.0123i | 0.953836i | ||||||||
\(803\) | −18.9518 | + | 10.9418i | −0.668795 | + | 0.386129i | ||||
\(804\) | −7.19421 | + | 17.8955i | −0.253720 | + | 0.631125i | ||||
\(805\) | − | 0.632115i | − | 0.0222791i | ||||||
\(806\) | 5.70080 | + | 4.38827i | 0.200802 | + | 0.154570i | ||||
\(807\) | −0.410944 | + | 1.02222i | −0.0144659 | + | 0.0359837i | ||||
\(808\) | −14.8778 | −0.523399 | ||||||||
\(809\) | 15.5907 | + | 27.0039i | 0.548140 | + | 0.949407i | 0.998402 | + | 0.0565104i | \(0.0179974\pi\) |
−0.450262 | + | 0.892897i | \(0.648669\pi\) | |||||||
\(810\) | 0.376405 | + | 8.99213i | 0.0132255 | + | 0.315951i | ||||
\(811\) | −18.3000 | + | 31.6966i | −0.642601 | + | 1.11302i | 0.342249 | + | 0.939609i | \(0.388811\pi\) |
−0.984850 | + | 0.173408i | \(0.944522\pi\) | |||||||
\(812\) | −0.274422 | − | 0.475312i | −0.00963032 | − | 0.0166802i | ||||
\(813\) | 6.36971 | + | 44.7602i | 0.223396 | + | 1.56981i | ||||
\(814\) | 10.6385 | 0.372878 | ||||||||
\(815\) | 12.7617 | + | 7.36799i | 0.447024 | + | 0.258089i | ||||
\(816\) | −6.95996 | − | 8.87660i | −0.243647 | − | 0.310743i | ||||
\(817\) | −0.997364 | − | 0.575829i | −0.0348934 | − | 0.0201457i | ||||
\(818\) | −7.12882 | − | 12.3475i | −0.249253 | − | 0.431719i | ||||
\(819\) | −0.150092 | − | 0.516670i | −0.00524463 | − | 0.0180539i | ||||
\(820\) | 0.0183630 | + | 0.0318057i | 0.000641265 | + | 0.00111070i | ||||
\(821\) | −13.4659 | −0.469963 | −0.234982 | − | 0.972000i | \(-0.575503\pi\) | ||||
−0.234982 | + | 0.972000i | \(0.575503\pi\) | |||||||
\(822\) | −11.5925 | − | 4.66032i | −0.404334 | − | 0.162547i | ||||
\(823\) | 9.06292 | − | 5.23248i | 0.315913 | − | 0.182393i | −0.333656 | − | 0.942695i | \(-0.608282\pi\) |
0.649570 | + | 0.760302i | \(0.274949\pi\) | |||||||
\(824\) | 0.836499 | + | 0.482953i | 0.0291408 | + | 0.0168245i | ||||
\(825\) | 4.43812 | − | 0.631578i | 0.154516 | − | 0.0219887i | ||||
\(826\) | 0.935923 | − | 1.62107i | 0.0325649 | − | 0.0564041i | ||||
\(827\) | 10.8412 | − | 18.7775i | 0.376985 | − | 0.652957i | −0.613637 | − | 0.789588i | \(-0.710294\pi\) |
0.990622 | + | 0.136631i | \(0.0436275\pi\) | |||||||
\(828\) | −13.1202 | + | 3.81139i | −0.455957 | + | 0.132455i | ||||
\(829\) | 9.97742i | 0.346530i | 0.984875 | + | 0.173265i | \(0.0554317\pi\) | ||||
−0.984875 | + | 0.173265i | \(0.944568\pi\) | |||||||
\(830\) | 5.41461 | + | 9.37837i | 0.187944 | + | 0.325528i | ||||
\(831\) | 0.898039 | + | 6.31055i | 0.0311526 | + | 0.218911i | ||||
\(832\) | 1.11900 | + | 0.646055i | 0.0387944 | + | 0.0223979i | ||||
\(833\) | 45.4615 | 1.57515 | ||||||||
\(834\) | 0.703280 | − | 0.100082i | 0.0243526 | − | 0.00346556i | ||||
\(835\) | − | 9.32479i | − | 0.322698i | ||||||
\(836\) | −14.8875 | −0.514894 | ||||||||
\(837\) | 8.31842 | + | 27.7093i | 0.287527 | + | 0.957773i | ||||
\(838\) | −19.9657 | −0.689704 | ||||||||
\(839\) | − | 51.6912i | − | 1.78458i | −0.451464 | − | 0.892289i | \(-0.649098\pi\) | ||
0.451464 | − | 0.892289i | \(-0.350902\pi\) | |||||||
\(840\) | −0.238008 | + | 0.0338704i | −0.00821207 | + | 0.00116864i | ||||
\(841\) | −13.3640 | −0.460826 | ||||||||
\(842\) | 22.3420 | + | 12.8991i | 0.769955 | + | 0.444534i | ||||
\(843\) | 2.40152 | + | 16.8756i | 0.0827129 | + | 0.581226i | ||||
\(844\) | −9.89042 | − | 17.1307i | −0.340442 | − | 0.589663i | ||||
\(845\) | 11.3305i | 0.389779i | ||||||||
\(846\) | −23.7348 | + | 6.89491i | −0.816018 | + | 0.237052i | ||||
\(847\) | −0.298514 | + | 0.517042i | −0.0102571 | + | 0.0177658i | ||||
\(848\) | −1.48496 | + | 2.57203i | −0.0509938 | + | 0.0883238i | ||||
\(849\) | −36.9164 | + | 5.25349i | −1.26697 | + | 0.180299i | ||||
\(850\) | 5.63993 | + | 3.25621i | 0.193448 | + | 0.111687i | ||||
\(851\) | 16.2117 | − | 9.35983i | 0.555730 | − | 0.320851i | ||||
\(852\) | −17.2299 | − | 6.92663i | −0.590286 | − | 0.237302i | ||||
\(853\) | −50.4561 | −1.72758 | −0.863792 | − | 0.503849i | \(-0.831917\pi\) | ||||
−0.863792 | + | 0.503849i | \(0.831917\pi\) | |||||||
\(854\) | −0.860950 | − | 1.49121i | −0.0294611 | − | 0.0510281i | ||||
\(855\) | 4.81394 | + | 16.5713i | 0.164633 | + | 0.566728i | ||||
\(856\) | −3.14886 | − | 5.45398i | −0.107626 | − | 0.186413i | ||||
\(857\) | 8.64284 | + | 4.98994i | 0.295234 | + | 0.170453i | 0.640300 | − | 0.768125i | \(-0.278810\pi\) |
−0.345066 | + | 0.938578i | \(0.612143\pi\) | |||||||
\(858\) | 3.57401 | + | 4.55822i | 0.122015 | + | 0.155615i | ||||
\(859\) | 36.6353 | + | 21.1514i | 1.24998 | + | 0.721677i | 0.971106 | − | 0.238650i | \(-0.0767048\pi\) |
0.278876 | + | 0.960327i | \(0.410038\pi\) | |||||||
\(860\) | 0.200214 | 0.00682724 | ||||||||
\(861\) | −0.00124393 | − | 0.00874110i | −4.23929e−5 | − | 0.000297896i | ||||
\(862\) | −12.0843 | − | 20.9306i | −0.411593 | − | 0.712900i | ||||
\(863\) | −8.76573 | + | 15.1827i | −0.298389 | + | 0.516825i | −0.975768 | − | 0.218810i | \(-0.929783\pi\) |
0.677379 | + | 0.735634i | \(0.263116\pi\) | |||||||
\(864\) | 2.13810 | + | 4.73588i | 0.0727398 | + | 0.161118i | ||||
\(865\) | −0.361956 | − | 0.626926i | −0.0123069 | − | 0.0213161i | ||||
\(866\) | 16.7926 | 0.570635 | ||||||||
\(867\) | 16.4173 | − | 40.8379i | 0.557562 | − | 1.38693i | ||||
\(868\) | −0.714425 | + | 0.294643i | −0.0242491 | + | 0.0100008i | ||||
\(869\) | 32.8871i | 1.11562i | ||||||||
\(870\) | 2.55466 | − | 6.35467i | 0.0866110 | − | 0.215444i | ||||
\(871\) | 12.4607 | − | 7.19421i | 0.422216 | − | 0.243767i | ||||
\(872\) | − | 9.55027i | − | 0.323413i | ||||||
\(873\) | −0.974794 | + | 0.283176i | −0.0329918 | + | 0.00958405i | ||||
\(874\) | −22.6867 | + | 13.0981i | −0.767387 | + | 0.443051i | ||||
\(875\) | 0.120203 | − | 0.0693993i | 0.00406361 | − | 0.00234612i | ||||
\(876\) | 13.5881 | + | 5.46258i | 0.459099 | + | 0.184564i | ||||
\(877\) | −21.9817 | + | 38.0735i | −0.742270 | + | 1.28565i | 0.209189 | + | 0.977875i | \(0.432917\pi\) |
−0.951459 | + | 0.307774i | \(0.900416\pi\) | |||||||
\(878\) | 7.29522 | + | 4.21190i | 0.246202 | + | 0.142145i | ||||
\(879\) | −4.40063 | + | 3.45044i | −0.148430 | + | 0.116380i | ||||
\(880\) | 2.24142 | − | 1.29408i | 0.0755581 | − | 0.0436235i | ||||
\(881\) | 5.41706 | − | 9.38263i | 0.182505 | − | 0.316109i | −0.760228 | − | 0.649657i | \(-0.774913\pi\) |
0.942733 | + | 0.333548i | \(0.108246\pi\) | |||||||
\(882\) | −20.3376 | − | 4.99595i | −0.684801 | − | 0.168223i | ||||
\(883\) | − | 23.3128i | − | 0.784538i | −0.919850 | − | 0.392269i | \(-0.871690\pi\) | ||
0.919850 | − | 0.392269i | \(-0.128310\pi\) | |||||||
\(884\) | 8.41477i | 0.283019i | ||||||||
\(885\) | 23.1255 | − | 3.29094i | 0.777357 | − | 0.110624i | ||||
\(886\) | −2.84698 | + | 4.93112i | −0.0956462 | + | 0.165664i | ||||
\(887\) | 17.6083 | − | 10.1662i | 0.591229 | − | 0.341346i | −0.174354 | − | 0.984683i | \(-0.555784\pi\) |
0.765583 | + | 0.643337i | \(0.222450\pi\) | |||||||
\(888\) | −4.39289 | − | 5.60262i | −0.147416 | − | 0.188012i | ||||
\(889\) | 1.23130 | + | 0.710890i | 0.0412964 | + | 0.0238425i | ||||
\(890\) | −3.15664 | + | 5.46746i | −0.105811 | + | 0.183270i | ||||
\(891\) | 0.974199 | + | 23.2731i | 0.0326369 | + | 0.779678i | ||||
\(892\) | 10.3976 | − | 6.00306i | 0.348137 | − | 0.200997i | ||||
\(893\) | −41.0408 | + | 23.6949i | −1.37338 | + | 0.792920i | ||||
\(894\) | 22.5969 | + | 28.8197i | 0.755753 | + | 0.963874i | ||||
\(895\) | 0.544897i | 0.0182139i | ||||||||
\(896\) | −0.120203 | + | 0.0693993i | −0.00401570 | + | 0.00231847i | ||||
\(897\) | 9.45671 | + | 3.80172i | 0.315750 | + | 0.126936i | ||||
\(898\) | 27.1961i | 0.907545i | ||||||||
\(899\) | 2.90714 | − | 21.8235i | 0.0969587 | − | 0.727855i | ||||
\(900\) | −2.16523 | − | 2.07649i | −0.0721742 | − | 0.0692162i | ||||
\(901\) | −19.3414 | −0.644356 | ||||||||
\(902\) | 0.0475265 | + | 0.0823184i | 0.00158246 | + | 0.00274090i | ||||
\(903\) | −0.0446590 | − | 0.0179535i | −0.00148616 | − | 0.000597455i | ||||
\(904\) | −9.24841 | + | 16.0187i | −0.307598 | + | 0.532775i | ||||
\(905\) | 7.65732 | + | 13.2629i | 0.254538 | + | 0.440873i | ||||
\(906\) | −27.7369 | + | 3.94717i | −0.921497 | + | 0.131136i | ||||
\(907\) | 0.665627 | 0.0221018 | 0.0110509 | − | 0.999939i | \(-0.496482\pi\) | ||||
0.0110509 | + | 0.999939i | \(0.496482\pi\) | |||||||
\(908\) | 10.6047 | + | 6.12264i | 0.351930 | + | 0.203187i | ||||
\(909\) | 12.4512 | + | 42.8615i | 0.412979 | + | 1.42162i | ||||
\(910\) | 0.155316 | + | 0.0896715i | 0.00514866 | + | 0.00297258i | ||||
\(911\) | 25.9660 | + | 44.9745i | 0.860293 | + | 1.49007i | 0.871646 | + | 0.490136i | \(0.163053\pi\) |
−0.0113524 | + | 0.999936i | \(0.503614\pi\) | |||||||
\(912\) | 6.14742 | + | 7.84031i | 0.203561 | + | 0.259618i | ||||
\(913\) | 14.0139 | + | 24.2728i | 0.463792 | + | 0.803312i | ||||
\(914\) | −22.1433 | −0.732435 | ||||||||
\(915\) | 8.01479 | − | 19.9367i | 0.264961 | − | 0.659085i | ||||
\(916\) | −11.7063 | + | 6.75865i | −0.386788 | + | 0.223312i | ||||
\(917\) | −1.02575 | − | 0.592218i | −0.0338733 | − | 0.0195568i | ||||
\(918\) | −19.7479 | + | 27.4798i | −0.651777 | + | 0.906967i | ||||
\(919\) | −3.34135 | + | 5.78738i | −0.110221 | + | 0.190908i | −0.915859 | − | 0.401500i | \(-0.868489\pi\) |
0.805638 | + | 0.592408i | \(0.201822\pi\) | |||||||
\(920\) | 2.27709 | − | 3.94404i | 0.0750735 | − | 0.130031i | ||||
\(921\) | −8.40393 | − | 10.7182i | −0.276919 | − | 0.353177i | ||||
\(922\) | − | 9.56201i | − | 0.314908i | ||||||
\(923\) | 6.92663 | + | 11.9973i | 0.227993 | + | 0.394895i | ||||
\(924\) | −0.616005 | + | 0.0876622i | −0.0202651 | + | 0.00288387i | ||||
\(925\) | 3.55974 | + | 2.05521i | 0.117043 | + | 0.0675750i | ||||
\(926\) | −6.71621 | −0.220708 | ||||||||
\(927\) | 0.691277 | − | 2.81405i | 0.0227045 | − | 0.0924257i | ||||
\(928\) | − | 3.95424i | − | 0.129804i | ||||||
\(929\) | −10.6588 | −0.349704 | −0.174852 | − | 0.984595i | \(-0.555945\pi\) | ||||
−0.174852 | + | 0.984595i | \(0.555945\pi\) | |||||||
\(930\) | −8.39436 | − | 4.74708i | −0.275262 | − | 0.155663i | ||||
\(931\) | −40.1541 | −1.31600 | ||||||||
\(932\) | − | 1.77466i | − | 0.0581310i | ||||||
\(933\) | −3.76394 | − | 26.4493i | −0.123226 | − | 0.865912i | ||||
\(934\) | 5.96215 | 0.195087 | ||||||||
\(935\) | 14.5971 | + | 8.42762i | 0.477375 | + | 0.275613i | ||||
\(936\) | 0.924734 | − | 3.76441i | 0.0302259 | − | 0.123044i | ||||
\(937\) | −10.1412 | − | 17.5650i | −0.331297 | − | 0.573824i | 0.651469 | − | 0.758675i | \(-0.274153\pi\) |
−0.982767 | + | 0.184851i | \(0.940820\pi\) | |||||||
\(938\) | 1.54561i | 0.0504658i | ||||||||
\(939\) | −13.1316 | + | 10.2962i | −0.428535 | + | 0.336005i | ||||
\(940\) | 4.11933 | − | 7.13488i | 0.134358 | − | 0.232714i | ||||
\(941\) | −15.3368 | + | 26.5640i | −0.499964 | + | 0.865963i | −1.00000 | 4.17483e-5i | \(-0.999987\pi\) | |
0.500036 | + | 0.866005i | \(0.333320\pi\) | |||||||
\(942\) | 5.47890 | + | 38.5004i | 0.178512 | + | 1.25441i | ||||
\(943\) | 0.144849 | + | 0.0836286i | 0.00471693 | + | 0.00272332i | ||||
\(944\) | 11.6793 | − | 6.74303i | 0.380128 | − | 0.219467i | ||||
\(945\) | 0.296766 | + | 0.657333i | 0.00965379 | + | 0.0213830i | ||||
\(946\) | 0.518187 | 0.0168477 | ||||||||
\(947\) | 23.6453 | + | 40.9549i | 0.768369 | + | 1.33085i | 0.938447 | + | 0.345424i | \(0.112265\pi\) |
−0.170077 | + | 0.985431i | \(0.554402\pi\) | |||||||
\(948\) | 17.3196 | − | 13.5799i | 0.562514 | − | 0.441055i | ||||
\(949\) | −5.46258 | − | 9.46147i | −0.177323 | − | 0.307132i | ||||
\(950\) | −4.98149 | − | 2.87607i | −0.161621 | − | 0.0933119i | ||||
\(951\) | 3.89609 | − | 3.05484i | 0.126339 | − | 0.0990600i | ||||
\(952\) | −0.782814 | − | 0.451958i | −0.0253711 | − | 0.0146480i | ||||
\(953\) | −53.3463 | −1.72806 | −0.864028 | − | 0.503444i | \(-0.832066\pi\) | ||||
−0.864028 | + | 0.503444i | \(0.832066\pi\) | |||||||
\(954\) | 8.65253 | + | 2.12551i | 0.280136 | + | 0.0688158i | ||||
\(955\) | −10.1244 | − | 17.5360i | −0.327619 | − | 0.567453i | ||||
\(956\) | 0.668618 | − | 1.15808i | 0.0216246 | − | 0.0374550i | ||||
\(957\) | 6.61188 | − | 16.4469i | 0.213732 | − | 0.531654i | ||||
\(958\) | 18.0796 | + | 31.3148i | 0.584125 | + | 1.01174i | ||||
\(959\) | −1.00122 | −0.0323312 | ||||||||
\(960\) | −1.60705 | − | 0.646055i | −0.0518673 | − | 0.0208513i | ||||
\(961\) | −29.9190 | − | 8.11511i | −0.965128 | − | 0.261778i | ||||
\(962\) | 5.31113i | 0.171238i | ||||||||
\(963\) | −13.0771 | + | 13.6360i | −0.421404 | + | 0.439413i | ||||
\(964\) | −18.2787 | + | 10.5532i | −0.588718 | + | 0.339897i | ||||
\(965\) | 11.9622i | 0.385078i | ||||||||
\(966\) | −0.861589 | + | 0.675553i | −0.0277212 | + | 0.0217356i | ||||
\(967\) | 1.32180 | − | 0.763144i | 0.0425064 | − | 0.0245411i | −0.478596 | − | 0.878035i | \(-0.658854\pi\) |
0.521103 | + | 0.853494i | \(0.325521\pi\) | |||||||
\(968\) | −3.72512 | + | 2.15070i | −0.119730 | + | 0.0691261i | ||||
\(969\) | −24.2014 | + | 60.2007i | −0.777462 | + | 1.93392i | ||||
\(970\) | 0.169182 | − | 0.293032i | 0.00543211 | − | 0.00940868i | ||||
\(971\) | −41.8314 | − | 24.1513i | −1.34243 | − | 0.775054i | −0.355268 | − | 0.934764i | \(-0.615611\pi\) |
−0.987164 | + | 0.159711i | \(0.948944\pi\) | |||||||
\(972\) | 11.8542 | − | 10.1231i | 0.380224 | − | 0.324699i | ||||
\(973\) | 0.0492989 | − | 0.0284627i | 0.00158045 | − | 0.000912473i | ||||
\(974\) | −1.07963 | + | 1.86997i | −0.0345935 | + | 0.0599177i | ||||
\(975\) | 0.315308 | + | 2.21568i | 0.0100979 | + | 0.0709585i | ||||
\(976\) | − | 12.4057i | − | 0.397098i | ||||||
\(977\) | − | 45.8703i | − | 1.46752i | −0.679408 | − | 0.733761i | \(-0.737763\pi\) | ||
0.679408 | − | 0.733761i | \(-0.262237\pi\) | |||||||
\(978\) | −3.59595 | − | 25.2689i | −0.114986 | − | 0.808010i | ||||
\(979\) | −8.16991 | + | 14.1507i | −0.261111 | + | 0.452258i | ||||
\(980\) | 6.04549 | − | 3.49037i | 0.193116 | − | 0.111496i | ||||
\(981\) | −27.5134 | + | 7.99259i | −0.878435 | + | 0.255184i | ||||
\(982\) | 4.13336 | + | 2.38639i | 0.131901 | + | 0.0761529i | ||||
\(983\) | −1.90512 | + | 3.29977i | −0.0607639 | + | 0.105246i | −0.894807 | − | 0.446453i | \(-0.852687\pi\) |
0.834043 | + | 0.551699i | \(0.186020\pi\) | |||||||
\(984\) | 0.0237270 | − | 0.0590206i | 0.000756391 | − | 0.00188151i | ||||
\(985\) | 0.950970 | − | 0.549043i | 0.0303004 | − | 0.0174940i | ||||
\(986\) | 22.3016 | − | 12.8759i | 0.710229 | − | 0.410051i | ||||
\(987\) | −1.55864 | + | 1.22210i | −0.0496120 | + | 0.0388997i | ||||
\(988\) | − | 7.43239i | − | 0.236456i | ||||||
\(989\) | 0.789652 | − | 0.455906i | 0.0251095 | − | 0.0144970i | ||||
\(990\) | −5.60396 | − | 5.37429i | −0.178106 | − | 0.170806i | ||||
\(991\) | 11.1470i | 0.354098i | 0.984202 | + | 0.177049i | \(0.0566550\pi\) | ||||
−0.984202 | + | 0.177049i | \(0.943345\pi\) | |||||||
\(992\) | −5.51901 | − | 0.735196i | −0.175229 | − | 0.0233425i | ||||
\(993\) | −6.72013 | − | 2.70158i | −0.213257 | − | 0.0857320i | ||||
\(994\) | −1.48812 | −0.0472003 | ||||||||
\(995\) | 6.19578 | + | 10.7314i | 0.196420 | + | 0.340209i | ||||
\(996\) | 6.99627 | − | 17.4031i | 0.221685 | − | 0.551438i | ||||
\(997\) | −23.4726 | + | 40.6557i | −0.743384 | + | 1.28758i | 0.207562 | + | 0.978222i | \(0.433447\pi\) |
−0.950946 | + | 0.309357i | \(0.899886\pi\) | |||||||
\(998\) | −6.61852 | − | 11.4636i | −0.209505 | − | 0.362874i | ||||
\(999\) | −12.4642 | + | 17.3443i | −0.394350 | + | 0.548750i |
(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 | 930.2.o.d.161.1 | ✓ | 36 | |
3.2 | odd | 2 | inner | 930.2.o.d.161.13 | yes | 36 | |
31.26 | odd | 6 | inner | 930.2.o.d.491.4 | yes | 36 | |
93.26 | even | 6 | inner | 930.2.o.d.491.10 | yes | 36 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.o.d.161.1 | ✓ | 36 | 1.1 | even | 1 | trivial | |
930.2.o.d.161.13 | yes | 36 | 3.2 | odd | 2 | inner | |
930.2.o.d.491.4 | yes | 36 | 31.26 | odd | 6 | inner | |
930.2.o.d.491.10 | yes | 36 | 93.26 | even | 6 | inner |