Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [930,2,Mod(497,930)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(930, base_ring=CyclotomicField(4))
chi = DirichletCharacter(H, H._module([2, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("930.497");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 930 = 2 \cdot 3 \cdot 5 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 930.j (of order \(4\), 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: | \(40\) |
Relative dimension: | \(20\) over \(\Q(i)\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{4}]$ |
Embedding invariants
Embedding label | 497.19 | ||
Character | \(\chi\) | \(=\) | 930.497 |
Dual form | 930.2.j.h.683.19 |
$q$-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 \(\left(\mathbb{Z}/930\mathbb{Z}\right)^\times\).
\(n\) | \(187\) | \(311\) | \(871\) |
\(\chi(n)\) | \(e\left(\frac{1}{4}\right)\) | \(-1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.707107 | − | 0.707107i | 0.500000 | − | 0.500000i | ||||
\(3\) | 1.68410 | + | 0.404727i | 0.972316 | + | 0.233670i | ||||
\(4\) | − | 1.00000i | − | 0.500000i | ||||||
\(5\) | 2.01952 | − | 0.959968i | 0.903157 | − | 0.429311i | ||||
\(6\) | 1.47702 | − | 0.904654i | 0.602993 | − | 0.369323i | ||||
\(7\) | −2.95632 | − | 2.95632i | −1.11738 | − | 1.11738i | −0.992124 | − | 0.125261i | \(-0.960023\pi\) |
−0.125261 | − | 0.992124i | \(-0.539977\pi\) | |||||||
\(8\) | −0.707107 | − | 0.707107i | −0.250000 | − | 0.250000i | ||||
\(9\) | 2.67239 | + | 1.36320i | 0.890797 | + | 0.454401i | ||||
\(10\) | 0.749217 | − | 2.10682i | 0.236923 | − | 0.666234i | ||||
\(11\) | − | 4.99639i | − | 1.50647i | −0.657752 | − | 0.753234i | \(-0.728493\pi\) | ||
0.657752 | − | 0.753234i | \(-0.271507\pi\) | |||||||
\(12\) | 0.404727 | − | 1.68410i | 0.116835 | − | 0.486158i | ||||
\(13\) | −0.576660 | + | 0.576660i | −0.159937 | + | 0.159937i | −0.782539 | − | 0.622602i | \(-0.786076\pi\) |
0.622602 | + | 0.782539i | \(0.286076\pi\) | |||||||
\(14\) | −4.18087 | −1.11738 | ||||||||
\(15\) | 3.78960 | − | 0.799327i | 0.978471 | − | 0.206385i | ||||
\(16\) | −1.00000 | −0.250000 | ||||||||
\(17\) | −1.92786 | + | 1.92786i | −0.467575 | + | 0.467575i | −0.901128 | − | 0.433553i | \(-0.857260\pi\) |
0.433553 | + | 0.901128i | \(0.357260\pi\) | |||||||
\(18\) | 2.85360 | − | 0.925735i | 0.672599 | − | 0.218198i | ||||
\(19\) | 2.28957i | 0.525263i | 0.964896 | + | 0.262631i | \(0.0845903\pi\) | ||||
−0.964896 | + | 0.262631i | \(0.915410\pi\) | |||||||
\(20\) | −0.959968 | − | 2.01952i | −0.214655 | − | 0.451578i | ||||
\(21\) | −3.78224 | − | 6.17525i | −0.825352 | − | 1.34755i | ||||
\(22\) | −3.53298 | − | 3.53298i | −0.753234 | − | 0.753234i | ||||
\(23\) | 2.35823 | + | 2.35823i | 0.491725 | + | 0.491725i | 0.908849 | − | 0.417124i | \(-0.136962\pi\) |
−0.417124 | + | 0.908849i | \(0.636962\pi\) | |||||||
\(24\) | −0.904654 | − | 1.47702i | −0.184662 | − | 0.301496i | ||||
\(25\) | 3.15692 | − | 3.87735i | 0.631385 | − | 0.775470i | ||||
\(26\) | 0.815520i | 0.159937i | ||||||||
\(27\) | 3.94885 | + | 3.37736i | 0.759957 | + | 0.649974i | ||||
\(28\) | −2.95632 | + | 2.95632i | −0.558692 | + | 0.558692i | ||||
\(29\) | −7.87675 | −1.46268 | −0.731338 | − | 0.682015i | \(-0.761104\pi\) | ||||
−0.731338 | + | 0.682015i | \(0.761104\pi\) | |||||||
\(30\) | 2.11444 | − | 3.24486i | 0.386043 | − | 0.592428i | ||||
\(31\) | −1.00000 | −0.179605 | ||||||||
\(32\) | −0.707107 | + | 0.707107i | −0.125000 | + | 0.125000i | ||||
\(33\) | 2.02218 | − | 8.41443i | 0.352016 | − | 1.46476i | ||||
\(34\) | 2.72641i | 0.467575i | ||||||||
\(35\) | −8.80833 | − | 3.13238i | −1.48888 | − | 0.529469i | ||||
\(36\) | 1.36320 | − | 2.67239i | 0.227201 | − | 0.445399i | ||||
\(37\) | 5.67026 | + | 5.67026i | 0.932186 | + | 0.932186i | 0.997842 | − | 0.0656566i | \(-0.0209142\pi\) |
−0.0656566 | + | 0.997842i | \(0.520914\pi\) | |||||||
\(38\) | 1.61897 | + | 1.61897i | 0.262631 | + | 0.262631i | ||||
\(39\) | −1.20454 | + | 0.737763i | −0.192881 | + | 0.118137i | ||||
\(40\) | −2.10682 | − | 0.749217i | −0.333117 | − | 0.118462i | ||||
\(41\) | 6.89238i | 1.07641i | 0.842814 | + | 0.538204i | \(0.180897\pi\) | ||||
−0.842814 | + | 0.538204i | \(0.819103\pi\) | |||||||
\(42\) | −7.04101 | − | 1.69211i | −1.08645 | − | 0.261099i | ||||
\(43\) | 7.51778 | − | 7.51778i | 1.14645 | − | 1.14645i | 0.159205 | − | 0.987245i | \(-0.449107\pi\) |
0.987245 | − | 0.159205i | \(-0.0508932\pi\) | |||||||
\(44\) | −4.99639 | −0.753234 | ||||||||
\(45\) | 6.70558 | + | 0.187608i | 0.999609 | + | 0.0279670i | ||||
\(46\) | 3.33504 | 0.491725 | ||||||||
\(47\) | 4.39924 | − | 4.39924i | 0.641696 | − | 0.641696i | −0.309276 | − | 0.950972i | \(-0.600087\pi\) |
0.950972 | + | 0.309276i | \(0.100087\pi\) | |||||||
\(48\) | −1.68410 | − | 0.404727i | −0.243079 | − | 0.0584174i | ||||
\(49\) | 10.4797i | 1.49710i | ||||||||
\(50\) | −0.509417 | − | 4.97398i | −0.0720425 | − | 0.703427i | ||||
\(51\) | −4.02697 | + | 2.46645i | −0.563889 | + | 0.345373i | ||||
\(52\) | 0.576660 | + | 0.576660i | 0.0799683 | + | 0.0799683i | ||||
\(53\) | 3.78705 | + | 3.78705i | 0.520191 | + | 0.520191i | 0.917629 | − | 0.397438i | \(-0.130101\pi\) |
−0.397438 | + | 0.917629i | \(0.630101\pi\) | |||||||
\(54\) | 5.18042 | − | 0.404103i | 0.704965 | − | 0.0549914i | ||||
\(55\) | −4.79637 | − | 10.0903i | −0.646743 | − | 1.36058i | ||||
\(56\) | 4.18087i | 0.558692i | ||||||||
\(57\) | −0.926650 | + | 3.85586i | −0.122738 | + | 0.510721i | ||||
\(58\) | −5.56971 | + | 5.56971i | −0.731338 | + | 0.731338i | ||||
\(59\) | 8.23302 | 1.07185 | 0.535924 | − | 0.844266i | \(-0.319963\pi\) | ||||
0.535924 | + | 0.844266i | \(0.319963\pi\) | |||||||
\(60\) | −0.799327 | − | 3.78960i | −0.103193 | − | 0.489235i | ||||
\(61\) | 2.57501 | 0.329696 | 0.164848 | − | 0.986319i | \(-0.447287\pi\) | ||||
0.164848 | + | 0.986319i | \(0.447287\pi\) | |||||||
\(62\) | −0.707107 | + | 0.707107i | −0.0898027 | + | 0.0898027i | ||||
\(63\) | −3.87038 | − | 11.9305i | −0.487622 | − | 1.50310i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | −0.611001 | + | 1.71815i | −0.0757854 | + | 0.213110i | ||||
\(66\) | −4.52000 | − | 7.37979i | −0.556374 | − | 0.908390i | ||||
\(67\) | 8.10538 | + | 8.10538i | 0.990230 | + | 0.990230i | 0.999953 | − | 0.00972284i | \(-0.00309492\pi\) |
−0.00972284 | + | 0.999953i | \(0.503095\pi\) | |||||||
\(68\) | 1.92786 | + | 1.92786i | 0.233788 | + | 0.233788i | ||||
\(69\) | 3.01706 | + | 4.92594i | 0.363211 | + | 0.593013i | ||||
\(70\) | −8.44335 | + | 4.01350i | −1.00917 | + | 0.479705i | ||||
\(71\) | − | 0.808470i | − | 0.0959477i | −0.998849 | − | 0.0479739i | \(-0.984724\pi\) | ||
0.998849 | − | 0.0479739i | \(-0.0152764\pi\) | |||||||
\(72\) | −0.925735 | − | 2.85360i | −0.109099 | − | 0.336300i | ||||
\(73\) | 6.98002 | − | 6.98002i | 0.816949 | − | 0.816949i | −0.168716 | − | 0.985665i | \(-0.553962\pi\) |
0.985665 | + | 0.168716i | \(0.0539620\pi\) | |||||||
\(74\) | 8.01896 | 0.932186 | ||||||||
\(75\) | 6.88585 | − | 5.25215i | 0.795109 | − | 0.606466i | ||||
\(76\) | 2.28957 | 0.262631 | ||||||||
\(77\) | −14.7709 | + | 14.7709i | −1.68330 | + | 1.68330i | ||||
\(78\) | −0.330063 | + | 1.37342i | −0.0373723 | + | 0.155509i | ||||
\(79\) | 6.04015i | 0.679570i | 0.940503 | + | 0.339785i | \(0.110354\pi\) | ||||
−0.940503 | + | 0.339785i | \(0.889646\pi\) | |||||||
\(80\) | −2.01952 | + | 0.959968i | −0.225789 | + | 0.107328i | ||||
\(81\) | 5.28335 | + | 7.28603i | 0.587039 | + | 0.809559i | ||||
\(82\) | 4.87365 | + | 4.87365i | 0.538204 | + | 0.538204i | ||||
\(83\) | −5.46968 | − | 5.46968i | −0.600375 | − | 0.600375i | 0.340037 | − | 0.940412i | \(-0.389560\pi\) |
−0.940412 | + | 0.340037i | \(0.889560\pi\) | |||||||
\(84\) | −6.17525 | + | 3.78224i | −0.673775 | + | 0.412676i | ||||
\(85\) | −2.04267 | + | 5.74404i | −0.221559 | + | 0.623029i | ||||
\(86\) | − | 10.6317i | − | 1.14645i | ||||||
\(87\) | −13.2652 | − | 3.18794i | −1.42218 | − | 0.341783i | ||||
\(88\) | −3.53298 | + | 3.53298i | −0.376617 | + | 0.376617i | ||||
\(89\) | −13.0671 | −1.38511 | −0.692553 | − | 0.721367i | \(-0.743514\pi\) | ||||
−0.692553 | + | 0.721367i | \(0.743514\pi\) | |||||||
\(90\) | 4.87422 | − | 4.60890i | 0.513788 | − | 0.485821i | ||||
\(91\) | 3.40958 | 0.357421 | ||||||||
\(92\) | 2.35823 | − | 2.35823i | 0.245862 | − | 0.245862i | ||||
\(93\) | −1.68410 | − | 0.404727i | −0.174633 | − | 0.0419683i | ||||
\(94\) | − | 6.22147i | − | 0.641696i | ||||||
\(95\) | 2.19791 | + | 4.62383i | 0.225501 | + | 0.474394i | ||||
\(96\) | −1.47702 | + | 0.904654i | −0.150748 | + | 0.0923308i | ||||
\(97\) | 9.00142 | + | 9.00142i | 0.913955 | + | 0.913955i | 0.996581 | − | 0.0826253i | \(-0.0263305\pi\) |
−0.0826253 | + | 0.996581i | \(0.526330\pi\) | |||||||
\(98\) | 7.41025 | + | 7.41025i | 0.748549 | + | 0.748549i | ||||
\(99\) | 6.81110 | − | 13.3523i | 0.684541 | − | 1.34196i | ||||
\(100\) | −3.87735 | − | 3.15692i | −0.387735 | − | 0.315692i | ||||
\(101\) | − | 15.8353i | − | 1.57567i | −0.615885 | − | 0.787836i | \(-0.711201\pi\) | ||
0.615885 | − | 0.787836i | \(-0.288799\pi\) | |||||||
\(102\) | −1.10345 | + | 4.59155i | −0.109258 | + | 0.454631i | ||||
\(103\) | −10.6610 | + | 10.6610i | −1.05046 | + | 1.05046i | −0.0517992 | + | 0.998658i | \(0.516496\pi\) |
−0.998658 | + | 0.0517992i | \(0.983504\pi\) | |||||||
\(104\) | 0.815520 | 0.0799683 | ||||||||
\(105\) | −13.5663 | − | 8.84021i | −1.32394 | − | 0.862716i | ||||
\(106\) | 5.35569 | 0.520191 | ||||||||
\(107\) | 9.39588 | − | 9.39588i | 0.908334 | − | 0.908334i | −0.0878038 | − | 0.996138i | \(-0.527985\pi\) |
0.996138 | + | 0.0878038i | \(0.0279849\pi\) | |||||||
\(108\) | 3.37736 | − | 3.94885i | 0.324987 | − | 0.379978i | ||||
\(109\) | 15.6740i | 1.50129i | 0.660703 | + | 0.750647i | \(0.270258\pi\) | ||||
−0.660703 | + | 0.750647i | \(0.729742\pi\) | |||||||
\(110\) | −10.5265 | − | 3.74338i | −1.00366 | − | 0.356917i | ||||
\(111\) | 7.25438 | + | 11.8442i | 0.688556 | + | 1.12420i | ||||
\(112\) | 2.95632 | + | 2.95632i | 0.279346 | + | 0.279346i | ||||
\(113\) | −6.71657 | − | 6.71657i | −0.631842 | − | 0.631842i | 0.316688 | − | 0.948530i | \(-0.397429\pi\) |
−0.948530 | + | 0.316688i | \(0.897429\pi\) | |||||||
\(114\) | 2.07126 | + | 3.38175i | 0.193992 | + | 0.316730i | ||||
\(115\) | 7.02632 | + | 2.49867i | 0.655208 | + | 0.233002i | ||||
\(116\) | 7.87675i | 0.731338i | ||||||||
\(117\) | −2.32716 | + | 0.754955i | −0.215146 | + | 0.0697957i | ||||
\(118\) | 5.82162 | − | 5.82162i | 0.535924 | − | 0.535924i | ||||
\(119\) | 11.3988 | 1.04492 | ||||||||
\(120\) | −3.24486 | − | 2.11444i | −0.296214 | − | 0.193021i | ||||
\(121\) | −13.9639 | −1.26945 | ||||||||
\(122\) | 1.82081 | − | 1.82081i | 0.164848 | − | 0.164848i | ||||
\(123\) | −2.78953 | + | 11.6075i | −0.251524 | + | 1.04661i | ||||
\(124\) | 1.00000i | 0.0898027i | ||||||||
\(125\) | 2.65334 | − | 10.8609i | 0.237322 | − | 0.971431i | ||||
\(126\) | −11.1729 | − | 5.69938i | −0.995363 | − | 0.507741i | ||||
\(127\) | −5.28171 | − | 5.28171i | −0.468676 | − | 0.468676i | 0.432809 | − | 0.901486i | \(-0.357522\pi\) |
−0.901486 | + | 0.432809i | \(0.857522\pi\) | |||||||
\(128\) | 0.707107 | + | 0.707107i | 0.0625000 | + | 0.0625000i | ||||
\(129\) | 15.7034 | − | 9.61805i | 1.38260 | − | 0.846822i | ||||
\(130\) | 0.782873 | + | 1.64696i | 0.0686625 | + | 0.144448i | ||||
\(131\) | 6.57780i | 0.574705i | 0.957825 | + | 0.287352i | \(0.0927751\pi\) | ||||
−0.957825 | + | 0.287352i | \(0.907225\pi\) | |||||||
\(132\) | −8.41443 | − | 2.02218i | −0.732382 | − | 0.176008i | ||||
\(133\) | 6.76869 | − | 6.76869i | 0.586920 | − | 0.586920i | ||||
\(134\) | 11.4627 | 0.990230 | ||||||||
\(135\) | 11.2169 | + | 3.02988i | 0.965401 | + | 0.260771i | ||||
\(136\) | 2.72641 | 0.233788 | ||||||||
\(137\) | −6.79419 | + | 6.79419i | −0.580467 | + | 0.580467i | −0.935031 | − | 0.354565i | \(-0.884629\pi\) |
0.354565 | + | 0.935031i | \(0.384629\pi\) | |||||||
\(138\) | 5.61655 | + | 1.34978i | 0.478112 | + | 0.114901i | ||||
\(139\) | − | 1.63608i | − | 0.138771i | −0.997590 | − | 0.0693853i | \(-0.977896\pi\) | ||
0.997590 | − | 0.0693853i | \(-0.0221038\pi\) | |||||||
\(140\) | −3.13238 | + | 8.80833i | −0.264734 | + | 0.744439i | ||||
\(141\) | 9.18927 | − | 5.62828i | 0.773876 | − | 0.473986i | ||||
\(142\) | −0.571674 | − | 0.571674i | −0.0479739 | − | 0.0479739i | ||||
\(143\) | 2.88122 | + | 2.88122i | 0.240939 | + | 0.240939i | ||||
\(144\) | −2.67239 | − | 1.36320i | −0.222699 | − | 0.113600i | ||||
\(145\) | −15.9073 | + | 7.56143i | −1.32103 | + | 0.627943i | ||||
\(146\) | − | 9.87123i | − | 0.816949i | ||||||
\(147\) | −4.24141 | + | 17.6488i | −0.349826 | + | 1.45565i | ||||
\(148\) | 5.67026 | − | 5.67026i | 0.466093 | − | 0.466093i | ||||
\(149\) | −12.8062 | −1.04913 | −0.524564 | − | 0.851371i | \(-0.675772\pi\) | ||||
−0.524564 | + | 0.851371i | \(0.675772\pi\) | |||||||
\(150\) | 1.15520 | − | 8.58286i | 0.0943215 | − | 0.700788i | ||||
\(151\) | 4.04968 | 0.329558 | 0.164779 | − | 0.986330i | \(-0.447309\pi\) | ||||
0.164779 | + | 0.986330i | \(0.447309\pi\) | |||||||
\(152\) | 1.61897 | − | 1.61897i | 0.131316 | − | 0.131316i | ||||
\(153\) | −7.78007 | + | 2.52393i | −0.628981 | + | 0.204048i | ||||
\(154\) | 20.8893i | 1.68330i | ||||||||
\(155\) | −2.01952 | + | 0.959968i | −0.162212 | + | 0.0771065i | ||||
\(156\) | 0.737763 | + | 1.20454i | 0.0590683 | + | 0.0964406i | ||||
\(157\) | −15.9477 | − | 15.9477i | −1.27277 | − | 1.27277i | −0.944629 | − | 0.328140i | \(-0.893578\pi\) |
−0.328140 | − | 0.944629i | \(-0.606422\pi\) | |||||||
\(158\) | 4.27103 | + | 4.27103i | 0.339785 | + | 0.339785i | ||||
\(159\) | 4.84505 | + | 7.91049i | 0.384237 | + | 0.627343i | ||||
\(160\) | −0.749217 | + | 2.10682i | −0.0592308 | + | 0.166558i | ||||
\(161\) | − | 13.9434i | − | 1.09889i | ||||||
\(162\) | 8.88789 | + | 1.41611i | 0.698299 | + | 0.111260i | ||||
\(163\) | −7.39856 | + | 7.39856i | −0.579500 | + | 0.579500i | −0.934766 | − | 0.355265i | \(-0.884391\pi\) |
0.355265 | + | 0.934766i | \(0.384391\pi\) | |||||||
\(164\) | 6.89238 | 0.538204 | ||||||||
\(165\) | −3.99375 | − | 18.9343i | −0.310913 | − | 1.47404i | ||||
\(166\) | −7.73529 | −0.600375 | ||||||||
\(167\) | 2.63668 | − | 2.63668i | 0.204032 | − | 0.204032i | −0.597693 | − | 0.801725i | \(-0.703916\pi\) |
0.801725 | + | 0.597693i | \(0.203916\pi\) | |||||||
\(168\) | −1.69211 | + | 7.04101i | −0.130549 | + | 0.543226i | ||||
\(169\) | 12.3349i | 0.948841i | ||||||||
\(170\) | 2.61726 | + | 5.50604i | 0.200735 | + | 0.422294i | ||||
\(171\) | −3.12115 | + | 6.11862i | −0.238680 | + | 0.467902i | ||||
\(172\) | −7.51778 | − | 7.51778i | −0.573225 | − | 0.573225i | ||||
\(173\) | −12.1778 | − | 12.1778i | −0.925862 | − | 0.925862i | 0.0715734 | − | 0.997435i | \(-0.477198\pi\) |
−0.997435 | + | 0.0715734i | \(0.977198\pi\) | |||||||
\(174\) | −11.6342 | + | 7.12573i | −0.881983 | + | 0.540201i | ||||
\(175\) | −20.7956 | + | 2.12981i | −1.57200 | + | 0.160998i | ||||
\(176\) | 4.99639i | 0.376617i | ||||||||
\(177\) | 13.8652 | + | 3.33213i | 1.04217 | + | 0.250458i | ||||
\(178\) | −9.23980 | + | 9.23980i | −0.692553 | + | 0.692553i | ||||
\(179\) | −17.0570 | −1.27490 | −0.637448 | − | 0.770493i | \(-0.720010\pi\) | ||||
−0.637448 | + | 0.770493i | \(0.720010\pi\) | |||||||
\(180\) | 0.187608 | − | 6.70558i | 0.0139835 | − | 0.499804i | ||||
\(181\) | −13.7882 | −1.02487 | −0.512434 | − | 0.858726i | \(-0.671256\pi\) | ||||
−0.512434 | + | 0.858726i | \(0.671256\pi\) | |||||||
\(182\) | 2.41094 | − | 2.41094i | 0.178711 | − | 0.178711i | ||||
\(183\) | 4.33658 | + | 1.04218i | 0.320569 | + | 0.0770400i | ||||
\(184\) | − | 3.33504i | − | 0.245862i | ||||||
\(185\) | 16.8945 | + | 6.00794i | 1.24211 | + | 0.441713i | ||||
\(186\) | −1.47702 | + | 0.904654i | −0.108301 | + | 0.0663324i | ||||
\(187\) | 9.63235 | + | 9.63235i | 0.704387 | + | 0.704387i | ||||
\(188\) | −4.39924 | − | 4.39924i | −0.320848 | − | 0.320848i | ||||
\(189\) | −1.68950 | − | 21.6586i | −0.122893 | − | 1.57543i | ||||
\(190\) | 4.82370 | + | 1.71538i | 0.349948 | + | 0.124447i | ||||
\(191\) | 20.9450i | 1.51553i | 0.652528 | + | 0.757765i | \(0.273709\pi\) | ||||
−0.652528 | + | 0.757765i | \(0.726291\pi\) | |||||||
\(192\) | −0.404727 | + | 1.68410i | −0.0292087 | + | 0.121540i | ||||
\(193\) | 8.68054 | − | 8.68054i | 0.624839 | − | 0.624839i | −0.321926 | − | 0.946765i | \(-0.604330\pi\) |
0.946765 | + | 0.321926i | \(0.104330\pi\) | |||||||
\(194\) | 12.7299 | 0.913955 | ||||||||
\(195\) | −1.72437 | + | 2.64625i | −0.123485 | + | 0.189502i | ||||
\(196\) | 10.4797 | 0.748549 | ||||||||
\(197\) | −10.8415 | + | 10.8415i | −0.772428 | + | 0.772428i | −0.978530 | − | 0.206102i | \(-0.933922\pi\) |
0.206102 | + | 0.978530i | \(0.433922\pi\) | |||||||
\(198\) | −4.62534 | − | 14.2577i | −0.328708 | − | 1.01325i | ||||
\(199\) | 14.2096i | 1.00729i | 0.863911 | + | 0.503645i | \(0.168008\pi\) | ||||
−0.863911 | + | 0.503645i | \(0.831992\pi\) | |||||||
\(200\) | −4.97398 | + | 0.509417i | −0.351714 | + | 0.0360212i | ||||
\(201\) | 10.3698 | + | 16.9307i | 0.731430 | + | 1.19420i | ||||
\(202\) | −11.1973 | − | 11.1973i | −0.787836 | − | 0.787836i | ||||
\(203\) | 23.2862 | + | 23.2862i | 1.63437 | + | 1.63437i | ||||
\(204\) | 2.46645 | + | 4.02697i | 0.172686 | + | 0.281944i | ||||
\(205\) | 6.61646 | + | 13.9193i | 0.462114 | + | 0.972166i | ||||
\(206\) | 15.0769i | 1.05046i | ||||||||
\(207\) | 3.08737 | + | 9.51686i | 0.214587 | + | 0.661468i | ||||
\(208\) | 0.576660 | − | 0.576660i | 0.0399841 | − | 0.0399841i | ||||
\(209\) | 11.4396 | 0.791291 | ||||||||
\(210\) | −15.8438 | + | 3.34188i | −1.09333 | + | 0.230612i | ||||
\(211\) | 3.57614 | 0.246192 | 0.123096 | − | 0.992395i | \(-0.460718\pi\) | ||||
0.123096 | + | 0.992395i | \(0.460718\pi\) | |||||||
\(212\) | 3.78705 | − | 3.78705i | 0.260095 | − | 0.260095i | ||||
\(213\) | 0.327210 | − | 1.36154i | 0.0224201 | − | 0.0932915i | ||||
\(214\) | − | 13.2878i | − | 0.908334i | ||||||
\(215\) | 7.96548 | − | 22.3991i | 0.543241 | − | 1.52761i | ||||
\(216\) | −0.404103 | − | 5.18042i | −0.0274957 | − | 0.352483i | ||||
\(217\) | 2.95632 | + | 2.95632i | 0.200688 | + | 0.200688i | ||||
\(218\) | 11.0832 | + | 11.0832i | 0.750647 | + | 0.750647i | ||||
\(219\) | 14.5801 | − | 8.93005i | 0.985229 | − | 0.603437i | ||||
\(220\) | −10.0903 | + | 4.79637i | −0.680289 | + | 0.323371i | ||||
\(221\) | − | 2.22344i | − | 0.149565i | ||||||
\(222\) | 13.5047 | + | 3.24550i | 0.906379 | + | 0.217823i | ||||
\(223\) | 8.25222 | − | 8.25222i | 0.552609 | − | 0.552609i | −0.374584 | − | 0.927193i | \(-0.622214\pi\) |
0.927193 | + | 0.374584i | \(0.122214\pi\) | |||||||
\(224\) | 4.18087 | 0.279346 | ||||||||
\(225\) | 13.7222 | − | 6.05826i | 0.914810 | − | 0.403884i | ||||
\(226\) | −9.49866 | −0.631842 | ||||||||
\(227\) | −3.91654 | + | 3.91654i | −0.259950 | + | 0.259950i | −0.825034 | − | 0.565084i | \(-0.808844\pi\) |
0.565084 | + | 0.825034i | \(0.308844\pi\) | |||||||
\(228\) | 3.85586 | + | 0.926650i | 0.255361 | + | 0.0613689i | ||||
\(229\) | 4.19731i | 0.277366i | 0.990337 | + | 0.138683i | \(0.0442869\pi\) | ||||
−0.990337 | + | 0.138683i | \(0.955713\pi\) | |||||||
\(230\) | 6.73518 | − | 3.20153i | 0.444105 | − | 0.211103i | ||||
\(231\) | −30.8540 | + | 18.8975i | −2.03004 | + | 1.24337i | ||||
\(232\) | 5.56971 | + | 5.56971i | 0.365669 | + | 0.365669i | ||||
\(233\) | 21.2882 | + | 21.2882i | 1.39464 | + | 1.39464i | 0.814560 | + | 0.580079i | \(0.196978\pi\) |
0.580079 | + | 0.814560i | \(0.303022\pi\) | |||||||
\(234\) | −1.11172 | + | 2.17939i | −0.0726754 | + | 0.142471i | ||||
\(235\) | 4.66123 | − | 13.1075i | 0.304065 | − | 0.855039i | ||||
\(236\) | − | 8.23302i | − | 0.535924i | ||||||
\(237\) | −2.44461 | + | 10.1722i | −0.158795 | + | 0.660756i | ||||
\(238\) | 8.06014 | − | 8.06014i | 0.522461 | − | 0.522461i | ||||
\(239\) | −8.28057 | −0.535625 | −0.267813 | − | 0.963471i | \(-0.586301\pi\) | ||||
−0.267813 | + | 0.963471i | \(0.586301\pi\) | |||||||
\(240\) | −3.78960 | + | 0.799327i | −0.244618 | + | 0.0515963i | ||||
\(241\) | −7.96980 | −0.513380 | −0.256690 | − | 0.966494i | \(-0.582632\pi\) | ||||
−0.256690 | + | 0.966494i | \(0.582632\pi\) | |||||||
\(242\) | −9.87398 | + | 9.87398i | −0.634724 | + | 0.634724i | ||||
\(243\) | 5.94884 | + | 14.4087i | 0.381618 | + | 0.924320i | ||||
\(244\) | − | 2.57501i | − | 0.164848i | ||||||
\(245\) | 10.0602 | + | 21.1639i | 0.642720 | + | 1.35211i | ||||
\(246\) | 6.23521 | + | 10.1802i | 0.397543 | + | 0.649067i | ||||
\(247\) | −1.32030 | − | 1.32030i | −0.0840087 | − | 0.0840087i | ||||
\(248\) | 0.707107 | + | 0.707107i | 0.0449013 | + | 0.0449013i | ||||
\(249\) | −6.99776 | − | 11.4252i | −0.443465 | − | 0.724044i | ||||
\(250\) | −5.80364 | − | 9.55603i | −0.367054 | − | 0.604377i | ||||
\(251\) | − | 2.76165i | − | 0.174314i | −0.996195 | − | 0.0871568i | \(-0.972222\pi\) | ||
0.996195 | − | 0.0871568i | \(-0.0277781\pi\) | |||||||
\(252\) | −11.9305 | + | 3.87038i | −0.751552 | + | 0.243811i | ||||
\(253\) | 11.7826 | − | 11.7826i | 0.740768 | − | 0.740768i | ||||
\(254\) | −7.46947 | −0.468676 | ||||||||
\(255\) | −5.76483 | + | 8.84682i | −0.361008 | + | 0.554009i | ||||
\(256\) | 1.00000 | 0.0625000 | ||||||||
\(257\) | 9.84769 | − | 9.84769i | 0.614282 | − | 0.614282i | −0.329777 | − | 0.944059i | \(-0.606974\pi\) |
0.944059 | + | 0.329777i | \(0.106974\pi\) | |||||||
\(258\) | 4.30296 | − | 17.9049i | 0.267891 | − | 1.11471i | ||||
\(259\) | − | 33.5263i | − | 2.08322i | ||||||
\(260\) | 1.71815 | + | 0.611001i | 0.106555 | + | 0.0378927i | ||||
\(261\) | −21.0498 | − | 10.7376i | −1.30295 | − | 0.664642i | ||||
\(262\) | 4.65120 | + | 4.65120i | 0.287352 | + | 0.287352i | ||||
\(263\) | −15.0377 | − | 15.0377i | −0.927266 | − | 0.927266i | 0.0702629 | − | 0.997529i | \(-0.477616\pi\) |
−0.997529 | + | 0.0702629i | \(0.977616\pi\) | |||||||
\(264\) | −7.37979 | + | 4.52000i | −0.454195 | + | 0.278187i | ||||
\(265\) | 11.2835 | + | 4.01258i | 0.693138 | + | 0.246491i | ||||
\(266\) | − | 9.57238i | − | 0.586920i | ||||||
\(267\) | −22.0062 | − | 5.28860i | −1.34676 | − | 0.323657i | ||||
\(268\) | 8.10538 | − | 8.10538i | 0.495115 | − | 0.495115i | ||||
\(269\) | −1.89009 | −0.115241 | −0.0576205 | − | 0.998339i | \(-0.518351\pi\) | ||||
−0.0576205 | + | 0.998339i | \(0.518351\pi\) | |||||||
\(270\) | 10.0740 | − | 5.78912i | 0.613086 | − | 0.352315i | ||||
\(271\) | −0.428031 | −0.0260011 | −0.0130005 | − | 0.999915i | \(-0.504138\pi\) | ||||
−0.0130005 | + | 0.999915i | \(0.504138\pi\) | |||||||
\(272\) | 1.92786 | − | 1.92786i | 0.116894 | − | 0.116894i | ||||
\(273\) | 5.74208 | + | 1.37995i | 0.347527 | + | 0.0835185i | ||||
\(274\) | 9.60844i | 0.580467i | ||||||||
\(275\) | −19.3727 | − | 15.7732i | −1.16822 | − | 0.951161i | ||||
\(276\) | 4.92594 | − | 3.01706i | 0.296507 | − | 0.181605i | ||||
\(277\) | −1.06863 | − | 1.06863i | −0.0642080 | − | 0.0642080i | 0.674274 | − | 0.738482i | \(-0.264457\pi\) |
−0.738482 | + | 0.674274i | \(0.764457\pi\) | |||||||
\(278\) | −1.15688 | − | 1.15688i | −0.0693853 | − | 0.0693853i | ||||
\(279\) | −2.67239 | − | 1.36320i | −0.159992 | − | 0.0816129i | ||||
\(280\) | 4.01350 | + | 8.44335i | 0.239853 | + | 0.504587i | ||||
\(281\) | − | 4.19370i | − | 0.250175i | −0.992146 | − | 0.125088i | \(-0.960079\pi\) | ||
0.992146 | − | 0.125088i | \(-0.0399212\pi\) | |||||||
\(282\) | 2.51800 | − | 10.4776i | 0.149945 | − | 0.623931i | ||||
\(283\) | 20.3038 | − | 20.3038i | 1.20694 | − | 1.20694i | 0.234921 | − | 0.972015i | \(-0.424517\pi\) |
0.972015 | − | 0.234921i | \(-0.0754831\pi\) | |||||||
\(284\) | −0.808470 | −0.0479739 | ||||||||
\(285\) | 1.83011 | + | 8.67654i | 0.108407 | + | 0.513954i | ||||
\(286\) | 4.07466 | 0.240939 | ||||||||
\(287\) | 20.3761 | − | 20.3761i | 1.20276 | − | 1.20276i | ||||
\(288\) | −2.85360 | + | 0.925735i | −0.168150 | + | 0.0545495i | ||||
\(289\) | 9.56670i | 0.562747i | ||||||||
\(290\) | −5.90140 | + | 16.5949i | −0.346542 | + | 0.974485i | ||||
\(291\) | 11.5162 | + | 18.8024i | 0.675090 | + | 1.10222i | ||||
\(292\) | −6.98002 | − | 6.98002i | −0.408475 | − | 0.408475i | ||||
\(293\) | 21.7801 | + | 21.7801i | 1.27241 | + | 1.27241i | 0.944820 | + | 0.327589i | \(0.106236\pi\) |
0.327589 | + | 0.944820i | \(0.393764\pi\) | |||||||
\(294\) | 9.48048 | + | 15.4787i | 0.552913 | + | 0.902739i | ||||
\(295\) | 16.6267 | − | 7.90343i | 0.968047 | − | 0.460156i | ||||
\(296\) | − | 8.01896i | − | 0.466093i | ||||||
\(297\) | 16.8746 | − | 19.7300i | 0.979165 | − | 1.14485i | ||||
\(298\) | −9.05537 | + | 9.05537i | −0.524564 | + | 0.524564i | ||||
\(299\) | −2.71979 | −0.157290 | ||||||||
\(300\) | −5.25215 | − | 6.88585i | −0.303233 | − | 0.397555i | ||||
\(301\) | −44.4500 | −2.56205 | ||||||||
\(302\) | 2.86356 | − | 2.86356i | 0.164779 | − | 0.164779i | ||||
\(303\) | 6.40898 | − | 26.6683i | 0.368187 | − | 1.53205i | ||||
\(304\) | − | 2.28957i | − | 0.131316i | ||||||
\(305\) | 5.20029 | − | 2.47193i | 0.297767 | − | 0.141542i | ||||
\(306\) | −3.71665 | + | 7.28603i | −0.212467 | + | 0.416515i | ||||
\(307\) | −1.13245 | − | 1.13245i | −0.0646323 | − | 0.0646323i | 0.674052 | − | 0.738684i | \(-0.264552\pi\) |
−0.738684 | + | 0.674052i | \(0.764552\pi\) | |||||||
\(308\) | 14.7709 | + | 14.7709i | 0.841652 | + | 0.841652i | ||||
\(309\) | −22.2689 | + | 13.6394i | −1.26684 | + | 0.775916i | ||||
\(310\) | −0.749217 | + | 2.10682i | −0.0425527 | + | 0.119659i | ||||
\(311\) | 10.7037i | 0.606949i | 0.952840 | + | 0.303475i | \(0.0981467\pi\) | ||||
−0.952840 | + | 0.303475i | \(0.901853\pi\) | |||||||
\(312\) | 1.37342 | + | 0.330063i | 0.0777545 | + | 0.0186862i | ||||
\(313\) | −10.1742 | + | 10.1742i | −0.575077 | + | 0.575077i | −0.933543 | − | 0.358466i | \(-0.883300\pi\) |
0.358466 | + | 0.933543i | \(0.383300\pi\) | |||||||
\(314\) | −22.5535 | −1.27277 | ||||||||
\(315\) | −19.2692 | − | 20.3785i | −1.08570 | − | 1.14820i | ||||
\(316\) | 6.04015 | 0.339785 | ||||||||
\(317\) | 4.80017 | − | 4.80017i | 0.269604 | − | 0.269604i | −0.559336 | − | 0.828941i | \(-0.688944\pi\) |
0.828941 | + | 0.559336i | \(0.188944\pi\) | |||||||
\(318\) | 9.01953 | + | 2.16760i | 0.505790 | + | 0.121553i | ||||
\(319\) | 39.3553i | 2.20348i | ||||||||
\(320\) | 0.959968 | + | 2.01952i | 0.0536638 | + | 0.112895i | ||||
\(321\) | 19.6264 | − | 12.0208i | 1.09544 | − | 0.670938i | ||||
\(322\) | −9.85946 | − | 9.85946i | −0.549446 | − | 0.549446i | ||||
\(323\) | −4.41397 | − | 4.41397i | −0.245600 | − | 0.245600i | ||||
\(324\) | 7.28603 | − | 5.28335i | 0.404779 | − | 0.293519i | ||||
\(325\) | 0.415440 | + | 4.05638i | 0.0230444 | + | 0.225007i | ||||
\(326\) | 10.4632i | 0.579500i | ||||||||
\(327\) | −6.34369 | + | 26.3966i | −0.350807 | + | 1.45973i | ||||
\(328\) | 4.87365 | − | 4.87365i | 0.269102 | − | 0.269102i | ||||
\(329\) | −26.0112 | −1.43404 | ||||||||
\(330\) | −16.2126 | − | 10.5646i | −0.892474 | − | 0.581561i | ||||
\(331\) | −2.51109 | −0.138022 | −0.0690111 | − | 0.997616i | \(-0.521984\pi\) | ||||
−0.0690111 | + | 0.997616i | \(0.521984\pi\) | |||||||
\(332\) | −5.46968 | + | 5.46968i | −0.300188 | + | 0.300188i | ||||
\(333\) | 7.42344 | + | 22.8829i | 0.406802 | + | 1.25397i | ||||
\(334\) | − | 3.72882i | − | 0.204032i | ||||||
\(335\) | 24.1499 | + | 8.58808i | 1.31945 | + | 0.469217i | ||||
\(336\) | 3.78224 | + | 6.17525i | 0.206338 | + | 0.336887i | ||||
\(337\) | 1.40334 | + | 1.40334i | 0.0764449 | + | 0.0764449i | 0.744295 | − | 0.667851i | \(-0.232785\pi\) |
−0.667851 | + | 0.744295i | \(0.732785\pi\) | |||||||
\(338\) | 8.72211 | + | 8.72211i | 0.474420 | + | 0.474420i | ||||
\(339\) | −8.59300 | − | 14.0298i | −0.466708 | − | 0.761992i | ||||
\(340\) | 5.74404 | + | 2.04267i | 0.311514 | + | 0.110779i | ||||
\(341\) | 4.99639i | 0.270570i | ||||||||
\(342\) | 2.11953 | + | 6.53350i | 0.114611 | + | 0.353291i | ||||
\(343\) | 10.2871 | − | 10.2871i | 0.555449 | − | 0.555449i | ||||
\(344\) | −10.6317 | −0.573225 | ||||||||
\(345\) | 10.8217 | + | 7.05175i | 0.582623 | + | 0.379654i | ||||
\(346\) | −17.2220 | −0.925862 | ||||||||
\(347\) | 3.40897 | − | 3.40897i | 0.183003 | − | 0.183003i | −0.609660 | − | 0.792663i | \(-0.708694\pi\) |
0.792663 | + | 0.609660i | \(0.208694\pi\) | |||||||
\(348\) | −3.18794 | + | 13.2652i | −0.170891 | + | 0.711092i | ||||
\(349\) | − | 7.29774i | − | 0.390639i | −0.980740 | − | 0.195320i | \(-0.937426\pi\) | ||
0.980740 | − | 0.195320i | \(-0.0625744\pi\) | |||||||
\(350\) | −13.1987 | + | 16.2107i | −0.705500 | + | 0.866498i | ||||
\(351\) | −4.22473 | + | 0.329554i | −0.225499 | + | 0.0175903i | ||||
\(352\) | 3.53298 | + | 3.53298i | 0.188309 | + | 0.188309i | ||||
\(353\) | −9.35024 | − | 9.35024i | −0.497663 | − | 0.497663i | 0.413047 | − | 0.910710i | \(-0.364465\pi\) |
−0.910710 | + | 0.413047i | \(0.864465\pi\) | |||||||
\(354\) | 12.1604 | − | 7.44803i | 0.646316 | − | 0.395858i | ||||
\(355\) | −0.776105 | − | 1.63272i | −0.0411914 | − | 0.0866558i | ||||
\(356\) | 13.0671i | 0.692553i | ||||||||
\(357\) | 19.1967 | + | 4.61339i | 1.01599 | + | 0.244167i | ||||
\(358\) | −12.0611 | + | 12.0611i | −0.637448 | + | 0.637448i | ||||
\(359\) | −18.8780 | −0.996341 | −0.498170 | − | 0.867079i | \(-0.665995\pi\) | ||||
−0.498170 | + | 0.867079i | \(0.665995\pi\) | |||||||
\(360\) | −4.60890 | − | 4.87422i | −0.242910 | − | 0.256894i | ||||
\(361\) | 13.7579 | 0.724099 | ||||||||
\(362\) | −9.74973 | + | 9.74973i | −0.512434 | + | 0.512434i | ||||
\(363\) | −23.5166 | − | 5.65158i | −1.23430 | − | 0.296631i | ||||
\(364\) | − | 3.40958i | − | 0.178711i | ||||||
\(365\) | 7.39569 | − | 20.7969i | 0.387108 | − | 1.08856i | ||||
\(366\) | 3.80335 | − | 2.32949i | 0.198804 | − | 0.121765i | ||||
\(367\) | −1.50038 | − | 1.50038i | −0.0783192 | − | 0.0783192i | 0.666862 | − | 0.745181i | \(-0.267637\pi\) |
−0.745181 | + | 0.666862i | \(0.767637\pi\) | |||||||
\(368\) | −2.35823 | − | 2.35823i | −0.122931 | − | 0.122931i | ||||
\(369\) | −9.39571 | + | 18.4191i | −0.489121 | + | 0.958862i | ||||
\(370\) | 16.1945 | − | 7.69795i | 0.841910 | − | 0.400197i | ||||
\(371\) | − | 22.3915i | − | 1.16251i | ||||||
\(372\) | −0.404727 | + | 1.68410i | −0.0209841 | + | 0.0873166i | ||||
\(373\) | −0.674075 | + | 0.674075i | −0.0349023 | + | 0.0349023i | −0.724343 | − | 0.689440i | \(-0.757857\pi\) |
0.689440 | + | 0.724343i | \(0.257857\pi\) | |||||||
\(374\) | 13.6222 | 0.704387 | ||||||||
\(375\) | 8.86421 | − | 17.2170i | 0.457746 | − | 0.889083i | ||||
\(376\) | −6.22147 | −0.320848 | ||||||||
\(377\) | 4.54221 | − | 4.54221i | 0.233935 | − | 0.233935i | ||||
\(378\) | −16.5096 | − | 14.1203i | −0.849164 | − | 0.726271i | ||||
\(379\) | 5.42438i | 0.278631i | 0.990248 | + | 0.139316i | \(0.0444903\pi\) | ||||
−0.990248 | + | 0.139316i | \(0.955510\pi\) | |||||||
\(380\) | 4.62383 | − | 2.19791i | 0.237197 | − | 0.112750i | ||||
\(381\) | −6.75728 | − | 11.0326i | −0.346186 | − | 0.565217i | ||||
\(382\) | 14.8104 | + | 14.8104i | 0.757765 | + | 0.757765i | ||||
\(383\) | 5.48189 | + | 5.48189i | 0.280112 | + | 0.280112i | 0.833153 | − | 0.553042i | \(-0.186533\pi\) |
−0.553042 | + | 0.833153i | \(0.686533\pi\) | |||||||
\(384\) | 0.904654 | + | 1.47702i | 0.0461654 | + | 0.0753741i | ||||
\(385\) | −15.6506 | + | 44.0098i | −0.797628 | + | 2.24295i | ||||
\(386\) | − | 12.2761i | − | 0.624839i | ||||||
\(387\) | 30.3387 | − | 9.84219i | 1.54220 | − | 0.500306i | ||||
\(388\) | 9.00142 | − | 9.00142i | 0.456978 | − | 0.456978i | ||||
\(389\) | −32.9134 | −1.66877 | −0.834387 | − | 0.551179i | \(-0.814178\pi\) | ||||
−0.834387 | + | 0.551179i | \(0.814178\pi\) | |||||||
\(390\) | 0.651867 | + | 3.09049i | 0.0330086 | + | 0.156493i | ||||
\(391\) | −9.09268 | −0.459837 | ||||||||
\(392\) | 7.41025 | − | 7.41025i | 0.374274 | − | 0.374274i | ||||
\(393\) | −2.66222 | + | 11.0777i | −0.134291 | + | 0.558795i | ||||
\(394\) | 15.3323i | 0.772428i | ||||||||
\(395\) | 5.79835 | + | 12.1982i | 0.291746 | + | 0.613758i | ||||
\(396\) | −13.3523 | − | 6.81110i | −0.670979 | − | 0.342271i | ||||
\(397\) | −8.17263 | − | 8.17263i | −0.410173 | − | 0.410173i | 0.471626 | − | 0.881799i | \(-0.343667\pi\) |
−0.881799 | + | 0.471626i | \(0.843667\pi\) | |||||||
\(398\) | 10.0477 | + | 10.0477i | 0.503645 | + | 0.503645i | ||||
\(399\) | 14.1386 | − | 8.65969i | 0.707817 | − | 0.433527i | ||||
\(400\) | −3.15692 | + | 3.87735i | −0.157846 | + | 0.193867i | ||||
\(401\) | − | 18.6503i | − | 0.931350i | −0.884956 | − | 0.465675i | \(-0.845812\pi\) | ||
0.884956 | − | 0.465675i | \(-0.154188\pi\) | |||||||
\(402\) | 19.3044 | + | 4.63929i | 0.962816 | + | 0.231387i | ||||
\(403\) | 0.576660 | − | 0.576660i | 0.0287255 | − | 0.0287255i | ||||
\(404\) | −15.8353 | −0.787836 | ||||||||
\(405\) | 17.6642 | + | 9.64243i | 0.877740 | + | 0.479136i | ||||
\(406\) | 32.9317 | 1.63437 | ||||||||
\(407\) | 28.3309 | − | 28.3309i | 1.40431 | − | 1.40431i | ||||
\(408\) | 4.59155 | + | 1.10345i | 0.227315 | + | 0.0546290i | ||||
\(409\) | 31.5379i | 1.55945i | 0.626123 | + | 0.779725i | \(0.284641\pi\) | ||||
−0.626123 | + | 0.779725i | \(0.715359\pi\) | |||||||
\(410\) | 14.5210 | + | 5.16388i | 0.717140 | + | 0.255026i | ||||
\(411\) | −14.1919 | + | 8.69231i | −0.700035 | + | 0.428760i | ||||
\(412\) | 10.6610 | + | 10.6610i | 0.525228 | + | 0.525228i | ||||
\(413\) | −24.3395 | − | 24.3395i | −1.19767 | − | 1.19767i | ||||
\(414\) | 8.91253 | + | 4.54634i | 0.438027 | + | 0.223440i | ||||
\(415\) | −16.2968 | − | 5.79541i | −0.799981 | − | 0.284486i | ||||
\(416\) | − | 0.815520i | − | 0.0399841i | ||||||
\(417\) | 0.662167 | − | 2.75532i | 0.0324264 | − | 0.134929i | ||||
\(418\) | 8.08900 | − | 8.08900i | 0.395646 | − | 0.395646i | ||||
\(419\) | 2.11671 | 0.103408 | 0.0517040 | − | 0.998662i | \(-0.483535\pi\) | ||||
0.0517040 | + | 0.998662i | \(0.483535\pi\) | |||||||
\(420\) | −8.84021 | + | 13.5663i | −0.431358 | + | 0.661970i | ||||
\(421\) | −10.2753 | −0.500788 | −0.250394 | − | 0.968144i | \(-0.580560\pi\) | ||||
−0.250394 | + | 0.968144i | \(0.580560\pi\) | |||||||
\(422\) | 2.52871 | − | 2.52871i | 0.123096 | − | 0.123096i | ||||
\(423\) | 17.7536 | − | 5.75944i | 0.863208 | − | 0.280033i | ||||
\(424\) | − | 5.35569i | − | 0.260095i | ||||||
\(425\) | 1.38888 | + | 13.5611i | 0.0673705 | + | 0.657810i | ||||
\(426\) | −0.731385 | − | 1.19413i | −0.0354357 | − | 0.0578558i | ||||
\(427\) | −7.61256 | − | 7.61256i | −0.368398 | − | 0.368398i | ||||
\(428\) | −9.39588 | − | 9.39588i | −0.454167 | − | 0.454167i | ||||
\(429\) | 3.68615 | + | 6.01837i | 0.177969 | + | 0.290569i | ||||
\(430\) | −10.2061 | − | 21.4710i | −0.492184 | − | 1.03543i | ||||
\(431\) | − | 8.73526i | − | 0.420763i | −0.977619 | − | 0.210381i | \(-0.932529\pi\) | ||
0.977619 | − | 0.210381i | \(-0.0674706\pi\) | |||||||
\(432\) | −3.94885 | − | 3.37736i | −0.189989 | − | 0.162493i | ||||
\(433\) | 13.6650 | − | 13.6650i | 0.656696 | − | 0.656696i | −0.297901 | − | 0.954597i | \(-0.596286\pi\) |
0.954597 | + | 0.297901i | \(0.0962864\pi\) | |||||||
\(434\) | 4.18087 | 0.200688 | ||||||||
\(435\) | −29.8498 | + | 6.29610i | −1.43119 | + | 0.301875i | ||||
\(436\) | 15.6740 | 0.750647 | ||||||||
\(437\) | −5.39932 | + | 5.39932i | −0.258285 | + | 0.258285i | ||||
\(438\) | 3.99516 | − | 16.6242i | 0.190896 | − | 0.794333i | ||||
\(439\) | − | 25.3349i | − | 1.20917i | −0.796541 | − | 0.604584i | \(-0.793339\pi\) | ||
0.796541 | − | 0.604584i | \(-0.206661\pi\) | |||||||
\(440\) | −3.74338 | + | 10.5265i | −0.178459 | + | 0.501830i | ||||
\(441\) | −14.2859 | + | 28.0058i | −0.680283 | + | 1.33361i | ||||
\(442\) | −1.57221 | − | 1.57221i | −0.0747824 | − | 0.0747824i | ||||
\(443\) | −15.2217 | − | 15.2217i | −0.723207 | − | 0.723207i | 0.246050 | − | 0.969257i | \(-0.420867\pi\) |
−0.969257 | + | 0.246050i | \(0.920867\pi\) | |||||||
\(444\) | 11.8442 | − | 7.25438i | 0.562101 | − | 0.344278i | ||||
\(445\) | −26.3892 | + | 12.5440i | −1.25097 | + | 0.594640i | ||||
\(446\) | − | 11.6704i | − | 0.552609i | ||||||
\(447\) | −21.5670 | − | 5.18303i | −1.02008 | − | 0.245149i | ||||
\(448\) | 2.95632 | − | 2.95632i | 0.139673 | − | 0.139673i | ||||
\(449\) | −37.0053 | −1.74639 | −0.873195 | − | 0.487371i | \(-0.837956\pi\) | ||||
−0.873195 | + | 0.487371i | \(0.837956\pi\) | |||||||
\(450\) | 5.41919 | − | 13.9869i | 0.255463 | − | 0.659347i | ||||
\(451\) | 34.4370 | 1.62158 | ||||||||
\(452\) | −6.71657 | + | 6.71657i | −0.315921 | + | 0.315921i | ||||
\(453\) | 6.82007 | + | 1.63902i | 0.320435 | + | 0.0770077i | ||||
\(454\) | 5.53883i | 0.259950i | ||||||||
\(455\) | 6.88572 | − | 3.27309i | 0.322808 | − | 0.153445i | ||||
\(456\) | 3.38175 | − | 2.07126i | 0.158365 | − | 0.0969958i | ||||
\(457\) | 27.8953 | + | 27.8953i | 1.30488 | + | 1.30488i | 0.925057 | + | 0.379827i | \(0.124017\pi\) |
0.379827 | + | 0.925057i | \(0.375983\pi\) | |||||||
\(458\) | 2.96795 | + | 2.96795i | 0.138683 | + | 0.138683i | ||||
\(459\) | −14.1239 | + | 1.10175i | −0.659248 | + | 0.0514252i | ||||
\(460\) | 2.49867 | − | 7.02632i | 0.116501 | − | 0.327604i | ||||
\(461\) | − | 29.3150i | − | 1.36534i | −0.730729 | − | 0.682668i | \(-0.760820\pi\) | ||
0.730729 | − | 0.682668i | \(-0.239180\pi\) | |||||||
\(462\) | −8.45446 | + | 35.1796i | −0.393337 | + | 1.63670i | ||||
\(463\) | −9.85332 | + | 9.85332i | −0.457922 | + | 0.457922i | −0.897973 | − | 0.440051i | \(-0.854961\pi\) |
0.440051 | + | 0.897973i | \(0.354961\pi\) | |||||||
\(464\) | 7.87675 | 0.365669 | ||||||||
\(465\) | −3.78960 | + | 0.799327i | −0.175739 | + | 0.0370679i | ||||
\(466\) | 30.1061 | 1.39464 | ||||||||
\(467\) | 1.63018 | − | 1.63018i | 0.0754357 | − | 0.0754357i | −0.668382 | − | 0.743818i | \(-0.733013\pi\) |
0.743818 | + | 0.668382i | \(0.233013\pi\) | |||||||
\(468\) | 0.754955 | + | 2.32716i | 0.0348978 | + | 0.107573i | ||||
\(469\) | − | 47.9242i | − | 2.21294i | ||||||
\(470\) | −5.97241 | − | 12.5644i | −0.275487 | − | 0.579552i | ||||
\(471\) | −20.4031 | − | 33.3121i | −0.940126 | − | 1.53494i | ||||
\(472\) | −5.82162 | − | 5.82162i | −0.267962 | − | 0.267962i | ||||
\(473\) | −37.5618 | − | 37.5618i | −1.72709 | − | 1.72709i | ||||
\(474\) | 5.46424 | + | 8.92145i | 0.250981 | + | 0.409776i | ||||
\(475\) | 8.87745 | + | 7.22799i | 0.407325 | + | 0.331643i | ||||
\(476\) | − | 11.3988i | − | 0.522461i | ||||||
\(477\) | 4.95796 | + | 15.2830i | 0.227009 | + | 0.699760i | ||||
\(478\) | −5.85525 | + | 5.85525i | −0.267813 | + | 0.267813i | ||||
\(479\) | 18.6347 | 0.851442 | 0.425721 | − | 0.904854i | \(-0.360020\pi\) | ||||
0.425721 | + | 0.904854i | \(0.360020\pi\) | |||||||
\(480\) | −2.11444 | + | 3.24486i | −0.0965107 | + | 0.148107i | ||||
\(481\) | −6.53962 | −0.298181 | ||||||||
\(482\) | −5.63550 | + | 5.63550i | −0.256690 | + | 0.256690i | ||||
\(483\) | 5.64327 | − | 23.4820i | 0.256778 | − | 1.06847i | ||||
\(484\) | 13.9639i | 0.634724i | ||||||||
\(485\) | 26.8196 | + | 9.53747i | 1.21782 | + | 0.433074i | ||||
\(486\) | 14.3950 | + | 5.98204i | 0.652969 | + | 0.271351i | ||||
\(487\) | −16.5699 | − | 16.5699i | −0.750852 | − | 0.750852i | 0.223786 | − | 0.974638i | \(-0.428158\pi\) |
−0.974638 | + | 0.223786i | \(0.928158\pi\) | |||||||
\(488\) | −1.82081 | − | 1.82081i | −0.0824241 | − | 0.0824241i | ||||
\(489\) | −15.4543 | + | 9.46553i | −0.698869 | + | 0.428046i | ||||
\(490\) | 22.0788 | + | 7.85155i | 0.997417 | + | 0.354697i | ||||
\(491\) | 5.39841i | 0.243627i | 0.992553 | + | 0.121814i | \(0.0388710\pi\) | ||||
−0.992553 | + | 0.121814i | \(0.961129\pi\) | |||||||
\(492\) | 11.6075 | + | 2.78953i | 0.523305 | + | 0.125762i | ||||
\(493\) | 15.1853 | − | 15.1853i | 0.683911 | − | 0.683911i | ||||
\(494\) | −1.86719 | −0.0840087 | ||||||||
\(495\) | 0.937364 | − | 33.5037i | 0.0421314 | − | 1.50588i | ||||
\(496\) | 1.00000 | 0.0449013 | ||||||||
\(497\) | −2.39010 | + | 2.39010i | −0.107211 | + | 0.107211i | ||||
\(498\) | −13.0270 | − | 3.13069i | −0.583754 | − | 0.140289i | ||||
\(499\) | − | 30.3229i | − | 1.35744i | −0.734398 | − | 0.678719i | \(-0.762535\pi\) | ||
0.734398 | − | 0.678719i | \(-0.237465\pi\) | |||||||
\(500\) | −10.8609 | − | 2.65334i | −0.485716 | − | 0.118661i | ||||
\(501\) | 5.50757 | − | 3.37329i | 0.246060 | − | 0.150708i | ||||
\(502\) | −1.95278 | − | 1.95278i | −0.0871568 | − | 0.0871568i | ||||
\(503\) | −5.28566 | − | 5.28566i | −0.235676 | − | 0.235676i | 0.579381 | − | 0.815057i | \(-0.303294\pi\) |
−0.815057 | + | 0.579381i | \(0.803294\pi\) | |||||||
\(504\) | −5.69938 | + | 11.1729i | −0.253871 | + | 0.497682i | ||||
\(505\) | −15.2014 | − | 31.9797i | −0.676453 | − | 1.42308i | ||||
\(506\) | − | 16.6632i | − | 0.740768i | ||||||
\(507\) | −4.99228 | + | 20.7733i | −0.221715 | + | 0.922573i | ||||
\(508\) | −5.28171 | + | 5.28171i | −0.234338 | + | 0.234338i | ||||
\(509\) | 8.19904 | 0.363416 | 0.181708 | − | 0.983353i | \(-0.441837\pi\) | ||||
0.181708 | + | 0.983353i | \(0.441837\pi\) | |||||||
\(510\) | 2.17929 | + | 10.3320i | 0.0965007 | + | 0.457509i | ||||
\(511\) | −41.2704 | −1.82569 | ||||||||
\(512\) | 0.707107 | − | 0.707107i | 0.0312500 | − | 0.0312500i | ||||
\(513\) | −7.73270 | + | 9.04115i | −0.341407 | + | 0.399177i | ||||
\(514\) | − | 13.9267i | − | 0.614282i | ||||||
\(515\) | −11.2959 | + | 31.7642i | −0.497755 | + | 1.39970i | ||||
\(516\) | −9.61805 | − | 15.7034i | −0.423411 | − | 0.691302i | ||||
\(517\) | −21.9803 | − | 21.9803i | −0.966694 | − | 0.966694i | ||||
\(518\) | −23.7066 | − | 23.7066i | −1.04161 | − | 1.04161i | ||||
\(519\) | −15.5800 | − | 25.4374i | −0.683885 | − | 1.11658i | ||||
\(520\) | 1.64696 | − | 0.782873i | 0.0722239 | − | 0.0343312i | ||||
\(521\) | − | 37.7000i | − | 1.65167i | −0.563914 | − | 0.825834i | \(-0.690705\pi\) | ||
0.563914 | − | 0.825834i | \(-0.309295\pi\) | |||||||
\(522\) | −22.4771 | + | 7.29179i | −0.983795 | + | 0.319153i | ||||
\(523\) | −5.19328 | + | 5.19328i | −0.227086 | + | 0.227086i | −0.811474 | − | 0.584388i | \(-0.801335\pi\) |
0.584388 | + | 0.811474i | \(0.301335\pi\) | |||||||
\(524\) | 6.57780 | 0.287352 | ||||||||
\(525\) | −35.8838 | − | 4.82973i | −1.56610 | − | 0.210787i | ||||
\(526\) | −21.2665 | −0.927266 | ||||||||
\(527\) | 1.92786 | − | 1.92786i | 0.0839790 | − | 0.0839790i | ||||
\(528\) | −2.02218 | + | 8.41443i | −0.0880039 | + | 0.366191i | ||||
\(529\) | − | 11.8775i | − | 0.516413i | ||||||
\(530\) | 10.8159 | − | 5.14129i | 0.469814 | − | 0.223324i | ||||
\(531\) | 22.0018 | + | 11.2233i | 0.954799 | + | 0.487049i | ||||
\(532\) | −6.76869 | − | 6.76869i | −0.293460 | − | 0.293460i | ||||
\(533\) | −3.97455 | − | 3.97455i | −0.172157 | − | 0.172157i | ||||
\(534\) | −19.3004 | + | 11.8212i | −0.835208 | + | 0.511552i | ||||
\(535\) | 9.95543 | − | 27.9949i | 0.430411 | − | 1.21033i | ||||
\(536\) | − | 11.4627i | − | 0.495115i | ||||||
\(537\) | −28.7256 | − | 6.90342i | −1.23960 | − | 0.297905i | ||||
\(538\) | −1.33650 | + | 1.33650i | −0.0576205 | + | 0.0576205i | ||||
\(539\) | 52.3606 | 2.25533 | ||||||||
\(540\) | 3.02988 | − | 11.2169i | 0.130385 | − | 0.482700i | ||||
\(541\) | −3.17281 | −0.136410 | −0.0682048 | − | 0.997671i | \(-0.521727\pi\) | ||||
−0.0682048 | + | 0.997671i | \(0.521727\pi\) | |||||||
\(542\) | −0.302664 | + | 0.302664i | −0.0130005 | + | 0.0130005i | ||||
\(543\) | −23.2207 | − | 5.58046i | −0.996496 | − | 0.239481i | ||||
\(544\) | − | 2.72641i | − | 0.116894i | ||||||
\(545\) | 15.0465 | + | 31.6539i | 0.644522 | + | 1.35590i | ||||
\(546\) | 5.03604 | − | 3.08449i | 0.215523 | − | 0.132004i | ||||
\(547\) | 15.3100 | + | 15.3100i | 0.654610 | + | 0.654610i | 0.954100 | − | 0.299489i | \(-0.0968164\pi\) |
−0.299489 | + | 0.954100i | \(0.596816\pi\) | |||||||
\(548\) | 6.79419 | + | 6.79419i | 0.290233 | + | 0.290233i | ||||
\(549\) | 6.88144 | + | 3.51026i | 0.293693 | + | 0.149814i | ||||
\(550\) | −24.8520 | + | 2.54525i | −1.05969 | + | 0.108530i | ||||
\(551\) | − | 18.0344i | − | 0.768289i | ||||||
\(552\) | 1.34978 | − | 5.61655i | 0.0574506 | − | 0.239056i | ||||
\(553\) | 17.8566 | − | 17.8566i | 0.759341 | − | 0.759341i | ||||
\(554\) | −1.51128 | −0.0642080 | ||||||||
\(555\) | 26.0204 | + | 16.9556i | 1.10451 | + | 0.719727i | ||||
\(556\) | −1.63608 | −0.0693853 | ||||||||
\(557\) | −27.0364 | + | 27.0364i | −1.14557 | + | 1.14557i | −0.158153 | + | 0.987415i | \(0.550554\pi\) |
−0.987415 | + | 0.158153i | \(0.949446\pi\) | |||||||
\(558\) | −2.85360 | + | 0.925735i | −0.120802 | + | 0.0391895i | ||||
\(559\) | 8.67040i | 0.366719i | ||||||||
\(560\) | 8.80833 | + | 3.13238i | 0.372220 | + | 0.132367i | ||||
\(561\) | 12.3234 | + | 20.1203i | 0.520293 | + | 0.849481i | ||||
\(562\) | −2.96539 | − | 2.96539i | −0.125088 | − | 0.125088i | ||||
\(563\) | −20.1083 | − | 20.1083i | −0.847464 | − | 0.847464i | 0.142352 | − | 0.989816i | \(-0.454534\pi\) |
−0.989816 | + | 0.142352i | \(0.954534\pi\) | |||||||
\(564\) | −5.62828 | − | 9.18927i | −0.236993 | − | 0.386938i | ||||
\(565\) | −20.0119 | − | 7.11656i | −0.841909 | − | 0.299396i | ||||
\(566\) | − | 28.7139i | − | 1.20694i | ||||||
\(567\) | 5.92056 | − | 37.1591i | 0.248640 | − | 1.56054i | ||||
\(568\) | −0.571674 | + | 0.571674i | −0.0239869 | + | 0.0239869i | ||||
\(569\) | −15.4858 | −0.649199 | −0.324600 | − | 0.945851i | \(-0.605230\pi\) | ||||
−0.324600 | + | 0.945851i | \(0.605230\pi\) | |||||||
\(570\) | 7.42933 | + | 4.84116i | 0.311180 | + | 0.202774i | ||||
\(571\) | −4.91936 | −0.205869 | −0.102934 | − | 0.994688i | \(-0.532823\pi\) | ||||
−0.102934 | + | 0.994688i | \(0.532823\pi\) | |||||||
\(572\) | 2.88122 | − | 2.88122i | 0.120470 | − | 0.120470i | ||||
\(573\) | −8.47703 | + | 35.2736i | −0.354133 | + | 1.47357i | ||||
\(574\) | − | 28.8161i | − | 1.20276i | ||||||
\(575\) | 16.5884 | − | 1.69893i | 0.691785 | − | 0.0708502i | ||||
\(576\) | −1.36320 | + | 2.67239i | −0.0568002 | + | 0.111350i | ||||
\(577\) | 26.8827 | + | 26.8827i | 1.11914 | + | 1.11914i | 0.991868 | + | 0.127272i | \(0.0406222\pi\) |
0.127272 | + | 0.991868i | \(0.459378\pi\) | |||||||
\(578\) | 6.76468 | + | 6.76468i | 0.281374 | + | 0.281374i | ||||
\(579\) | 18.1322 | − | 11.1057i | 0.753547 | − | 0.461535i | ||||
\(580\) | 7.56143 | + | 15.9073i | 0.313971 | + | 0.660513i | ||||
\(581\) | 32.3403i | 1.34170i | ||||||||
\(582\) | 21.4385 | + | 5.15215i | 0.888653 | + | 0.213564i | ||||
\(583\) | 18.9216 | − | 18.9216i | 0.783651 | − | 0.783651i | ||||
\(584\) | −9.87123 | −0.408475 | ||||||||
\(585\) | −3.97502 | + | 3.75865i | −0.164347 | + | 0.155401i | ||||
\(586\) | 30.8018 | 1.27241 | ||||||||
\(587\) | 6.99920 | − | 6.99920i | 0.288888 | − | 0.288888i | −0.547753 | − | 0.836640i | \(-0.684516\pi\) |
0.836640 | + | 0.547753i | \(0.184516\pi\) | |||||||
\(588\) | 17.6488 | + | 4.24141i | 0.727826 | + | 0.174913i | ||||
\(589\) | − | 2.28957i | − | 0.0943399i | ||||||
\(590\) | 6.16831 | − | 17.3455i | 0.253946 | − | 0.714101i | ||||
\(591\) | −22.6461 | + | 13.8704i | −0.931537 | + | 0.570551i | ||||
\(592\) | −5.67026 | − | 5.67026i | −0.233046 | − | 0.233046i | ||||
\(593\) | 6.70624 | + | 6.70624i | 0.275392 | + | 0.275392i | 0.831266 | − | 0.555874i | \(-0.187616\pi\) |
−0.555874 | + | 0.831266i | \(0.687616\pi\) | |||||||
\(594\) | −2.01905 | − | 25.8834i | −0.0828428 | − | 1.06201i | ||||
\(595\) | 23.0200 | − | 10.9424i | 0.943729 | − | 0.448596i | ||||
\(596\) | 12.8062i | 0.524564i | ||||||||
\(597\) | −5.75101 | + | 23.9304i | −0.235373 | + | 0.979405i | ||||
\(598\) | −1.92318 | + | 1.92318i | −0.0786448 | + | 0.0786448i | ||||
\(599\) | 22.2127 | 0.907586 | 0.453793 | − | 0.891107i | \(-0.350071\pi\) | ||||
0.453793 | + | 0.891107i | \(0.350071\pi\) | |||||||
\(600\) | −8.58286 | − | 1.15520i | −0.350394 | − | 0.0471607i | ||||
\(601\) | 3.14003 | 0.128084 | 0.0640422 | − | 0.997947i | \(-0.479601\pi\) | ||||
0.0640422 | + | 0.997947i | \(0.479601\pi\) | |||||||
\(602\) | −31.4309 | + | 31.4309i | −1.28103 | + | 1.28103i | ||||
\(603\) | 10.6115 | + | 32.7100i | 0.432132 | + | 1.33206i | ||||
\(604\) | − | 4.04968i | − | 0.164779i | ||||||
\(605\) | −28.2004 | + | 13.4049i | −1.14651 | + | 0.544987i | ||||
\(606\) | −14.3255 | − | 23.3891i | −0.581932 | − | 0.950119i | ||||
\(607\) | −0.107997 | − | 0.107997i | −0.00438348 | − | 0.00438348i | 0.704912 | − | 0.709295i | \(-0.250987\pi\) |
−0.709295 | + | 0.704912i | \(0.750987\pi\) | |||||||
\(608\) | −1.61897 | − | 1.61897i | −0.0656578 | − | 0.0656578i | ||||
\(609\) | 29.7918 | + | 48.6409i | 1.20722 | + | 1.97103i | ||||
\(610\) | 1.92924 | − | 5.42507i | 0.0781127 | − | 0.219655i | ||||
\(611\) | 5.07373i | 0.205261i | ||||||||
\(612\) | 2.52393 | + | 7.78007i | 0.102024 | + | 0.314491i | ||||
\(613\) | 1.98258 | − | 1.98258i | 0.0800755 | − | 0.0800755i | −0.665935 | − | 0.746010i | \(-0.731967\pi\) |
0.746010 | + | 0.665935i | \(0.231967\pi\) | |||||||
\(614\) | −1.60152 | −0.0646323 | ||||||||
\(615\) | 5.50926 | + | 26.1194i | 0.222155 | + | 1.05323i | ||||
\(616\) | 20.8893 | 0.841652 | ||||||||
\(617\) | 3.76135 | − | 3.76135i | 0.151426 | − | 0.151426i | −0.627329 | − | 0.778755i | \(-0.715852\pi\) |
0.778755 | + | 0.627329i | \(0.215852\pi\) | |||||||
\(618\) | −6.10203 | + | 25.3910i | −0.245460 | + | 1.02138i | ||||
\(619\) | − | 31.0020i | − | 1.24608i | −0.782191 | − | 0.623038i | \(-0.785898\pi\) | ||
0.782191 | − | 0.623038i | \(-0.214102\pi\) | |||||||
\(620\) | 0.959968 | + | 2.01952i | 0.0385532 | + | 0.0811059i | ||||
\(621\) | 1.34770 | + | 17.2769i | 0.0540813 | + | 0.693298i | ||||
\(622\) | 7.56863 | + | 7.56863i | 0.303475 | + | 0.303475i | ||||
\(623\) | 38.6304 | + | 38.6304i | 1.54770 | + | 1.54770i | ||||
\(624\) | 1.20454 | − | 0.737763i | 0.0482203 | − | 0.0295342i | ||||
\(625\) | −5.06766 | − | 24.4810i | −0.202707 | − | 0.979240i | ||||
\(626\) | 14.3884i | 0.575077i | ||||||||
\(627\) | 19.2654 | + | 4.62991i | 0.769385 | + | 0.184901i | ||||
\(628\) | −15.9477 | + | 15.9477i | −0.636384 | + | 0.636384i | ||||
\(629\) | −21.8630 | −0.871734 | ||||||||
\(630\) | −28.0352 | − | 0.784366i | −1.11695 | − | 0.0312499i | ||||
\(631\) | 33.0603 | 1.31611 | 0.658055 | − | 0.752970i | \(-0.271379\pi\) | ||||
0.658055 | + | 0.752970i | \(0.271379\pi\) | |||||||
\(632\) | 4.27103 | − | 4.27103i | 0.169892 | − | 0.169892i | ||||
\(633\) | 6.02258 | + | 1.44736i | 0.239376 | + | 0.0575275i | ||||
\(634\) | − | 6.78847i | − | 0.269604i | ||||||
\(635\) | −15.7368 | − | 5.59625i | −0.624496 | − | 0.222080i | ||||
\(636\) | 7.91049 | − | 4.84505i | 0.313671 | − | 0.192119i | ||||
\(637\) | −6.04321 | − | 6.04321i | −0.239441 | − | 0.239441i | ||||
\(638\) | 27.8284 | + | 27.8284i | 1.10174 | + | 1.10174i | ||||
\(639\) | 1.10211 | − | 2.16055i | 0.0435988 | − | 0.0854699i | ||||
\(640\) | 2.10682 | + | 0.749217i | 0.0832792 | + | 0.0296154i | ||||
\(641\) | 7.32059i | 0.289146i | 0.989494 | + | 0.144573i | \(0.0461808\pi\) | ||||
−0.989494 | + | 0.144573i | \(0.953819\pi\) | |||||||
\(642\) | 5.37793 | − | 22.3780i | 0.212250 | − | 0.883188i | ||||
\(643\) | −13.0557 | + | 13.0557i | −0.514867 | + | 0.514867i | −0.916014 | − | 0.401147i | \(-0.868612\pi\) |
0.401147 | + | 0.916014i | \(0.368612\pi\) | |||||||
\(644\) | −13.9434 | −0.549446 | ||||||||
\(645\) | 22.4802 | − | 34.4986i | 0.885158 | − | 1.35838i | ||||
\(646\) | −6.24229 | −0.245600 | ||||||||
\(647\) | 28.1848 | − | 28.1848i | 1.10806 | − | 1.10806i | 0.114651 | − | 0.993406i | \(-0.463425\pi\) |
0.993406 | − | 0.114651i | \(-0.0365751\pi\) | |||||||
\(648\) | 1.41611 | − | 8.88789i | 0.0556299 | − | 0.349149i | ||||
\(649\) | − | 41.1354i | − | 1.61470i | ||||||
\(650\) | 3.16205 | + | 2.57453i | 0.124026 | + | 0.100982i | ||||
\(651\) | 3.78224 | + | 6.17525i | 0.148238 | + | 0.242027i | ||||
\(652\) | 7.39856 | + | 7.39856i | 0.289750 | + | 0.289750i | ||||
\(653\) | 31.2557 | + | 31.2557i | 1.22313 | + | 1.22313i | 0.966513 | + | 0.256617i | \(0.0826078\pi\) |
0.256617 | + | 0.966513i | \(0.417392\pi\) | |||||||
\(654\) | 14.1795 | + | 23.1508i | 0.554463 | + | 0.905270i | ||||
\(655\) | 6.31447 | + | 13.2840i | 0.246727 | + | 0.519049i | ||||
\(656\) | − | 6.89238i | − | 0.269102i | ||||||
\(657\) | 28.1685 | − | 9.13815i | 1.09896 | − | 0.356513i | ||||
\(658\) | −18.3927 | + | 18.3927i | −0.717021 | + | 0.717021i | ||||
\(659\) | −2.80641 | −0.109322 | −0.0546611 | − | 0.998505i | \(-0.517408\pi\) | ||||
−0.0546611 | + | 0.998505i | \(0.517408\pi\) | |||||||
\(660\) | −18.9343 | + | 3.99375i | −0.737018 | + | 0.155457i | ||||
\(661\) | 45.6312 | 1.77485 | 0.887423 | − | 0.460955i | \(-0.152493\pi\) | ||||
0.887423 | + | 0.460955i | \(0.152493\pi\) | |||||||
\(662\) | −1.77561 | + | 1.77561i | −0.0690111 | + | 0.0690111i | ||||
\(663\) | 0.899887 | − | 3.74450i | 0.0349487 | − | 0.145424i | ||||
\(664\) | 7.73529i | 0.300188i | ||||||||
\(665\) | 7.17179 | − | 20.1672i | 0.278110 | − | 0.782052i | ||||
\(666\) | 21.4298 | + | 10.9315i | 0.830388 | + | 0.423586i | ||||
\(667\) | −18.5752 | − | 18.5752i | −0.719235 | − | 0.719235i | ||||
\(668\) | −2.63668 | − | 2.63668i | −0.102016 | − | 0.102016i | ||||
\(669\) | 17.2375 | − | 10.5577i | 0.666439 | − | 0.408183i | ||||
\(670\) | 23.1492 | − | 11.0039i | 0.894333 | − | 0.425116i | ||||
\(671\) | − | 12.8658i | − | 0.496677i | ||||||
\(672\) | 7.04101 | + | 1.69211i | 0.271613 | + | 0.0652747i | ||||
\(673\) | −29.8688 | + | 29.8688i | −1.15136 | + | 1.15136i | −0.165076 | + | 0.986281i | \(0.552787\pi\) |
−0.986281 | + | 0.165076i | \(0.947213\pi\) | |||||||
\(674\) | 1.98462 | 0.0764449 | ||||||||
\(675\) | 25.5614 | − | 4.64899i | 0.983860 | − | 0.178940i | ||||
\(676\) | 12.3349 | 0.474420 | ||||||||
\(677\) | 14.3828 | − | 14.3828i | 0.552775 | − | 0.552775i | −0.374466 | − | 0.927241i | \(-0.622174\pi\) |
0.927241 | + | 0.374466i | \(0.122174\pi\) | |||||||
\(678\) | −15.9967 | − | 3.84437i | −0.614350 | − | 0.147642i | ||||
\(679\) | − | 53.2222i | − | 2.04248i | ||||||
\(680\) | 5.50604 | − | 2.61726i | 0.211147 | − | 0.100367i | ||||
\(681\) | −8.18099 | + | 5.01072i | −0.313496 | + | 0.192011i | ||||
\(682\) | 3.53298 | + | 3.53298i | 0.135285 | + | 0.135285i | ||||
\(683\) | −3.20982 | − | 3.20982i | −0.122820 | − | 0.122820i | 0.643025 | − | 0.765845i | \(-0.277679\pi\) |
−0.765845 | + | 0.643025i | \(0.777679\pi\) | |||||||
\(684\) | 6.11862 | + | 3.12115i | 0.233951 | + | 0.119340i | ||||
\(685\) | −7.19880 | + | 20.2432i | −0.275052 | + | 0.773453i | ||||
\(686\) | − | 14.5481i | − | 0.555449i | ||||||
\(687\) | −1.69877 | + | 7.06870i | −0.0648120 | + | 0.269688i | ||||
\(688\) | −7.51778 | + | 7.51778i | −0.286613 | + | 0.286613i | ||||
\(689\) | −4.36767 | −0.166395 | ||||||||
\(690\) | 12.6385 | − | 2.66579i | 0.481139 | − | 0.101485i | ||||
\(691\) | 25.4174 | 0.966922 | 0.483461 | − | 0.875366i | \(-0.339379\pi\) | ||||
0.483461 | + | 0.875366i | \(0.339379\pi\) | |||||||
\(692\) | −12.1778 | + | 12.1778i | −0.462931 | + | 0.462931i | ||||
\(693\) | −59.6095 | + | 19.3379i | −2.26438 | + | 0.734587i | ||||
\(694\) | − | 4.82101i | − | 0.183003i | ||||||
\(695\) | −1.57058 | − | 3.30410i | −0.0595757 | − | 0.125332i | ||||
\(696\) | 7.12573 | + | 11.6342i | 0.270100 | + | 0.440992i | ||||
\(697\) | −13.2875 | − | 13.2875i | −0.503302 | − | 0.503302i | ||||
\(698\) | −5.16028 | − | 5.16028i | −0.195320 | − | 0.195320i | ||||
\(699\) | 27.2356 | + | 44.4675i | 1.03015 | + | 1.68191i | ||||
\(700\) | 2.12981 | + | 20.7956i | 0.0804991 | + | 0.785999i | ||||
\(701\) | 8.72209i | 0.329429i | 0.986341 | + | 0.164714i | \(0.0526702\pi\) | ||||
−0.986341 | + | 0.164714i | \(0.947330\pi\) | |||||||
\(702\) | −2.75431 | + | 3.22037i | −0.103955 | + | 0.121545i | ||||
\(703\) | −12.9824 | + | 12.9824i | −0.489642 | + | 0.489642i | ||||
\(704\) | 4.99639 | 0.188309 | ||||||||
\(705\) | 13.1549 | − | 20.1878i | 0.495444 | − | 0.760317i | ||||
\(706\) | −13.2232 | −0.497663 | ||||||||
\(707\) | −46.8143 | + | 46.8143i | −1.76063 | + | 1.76063i | ||||
\(708\) | 3.33213 | − | 13.8652i | 0.125229 | − | 0.521087i | ||||
\(709\) | 0.835634i | 0.0313829i | 0.999877 | + | 0.0156915i | \(0.00499495\pi\) | ||||
−0.999877 | + | 0.0156915i | \(0.995005\pi\) | |||||||
\(710\) | −1.70330 | − | 0.605719i | −0.0639236 | − | 0.0227322i | ||||
\(711\) | −8.23395 | + | 16.1416i | −0.308797 | + | 0.605359i | ||||
\(712\) | 9.23980 | + | 9.23980i | 0.346276 | + | 0.346276i | ||||
\(713\) | −2.35823 | − | 2.35823i | −0.0883164 | − | 0.0883164i | ||||
\(714\) | 16.8362 | − | 10.3119i | 0.630081 | − | 0.385914i | ||||
\(715\) | 8.58455 | + | 3.05280i | 0.321044 | + | 0.114168i | ||||
\(716\) | 17.0570i | 0.637448i | ||||||||
\(717\) | −13.9453 | − | 3.35137i | −0.520797 | − | 0.125159i | ||||
\(718\) | −13.3487 | + | 13.3487i | −0.498170 | + | 0.498170i | ||||
\(719\) | −48.0542 | −1.79212 | −0.896060 | − | 0.443933i | \(-0.853583\pi\) | ||||
−0.896060 | + | 0.443933i | \(0.853583\pi\) | |||||||
\(720\) | −6.70558 | − | 0.187608i | −0.249902 | − | 0.00699175i | ||||
\(721\) | 63.0345 | 2.34753 | ||||||||
\(722\) | 9.72829 | − | 9.72829i | 0.362050 | − | 0.362050i | ||||
\(723\) | −13.4219 | − | 3.22560i | −0.499167 | − | 0.119961i | ||||
\(724\) | 13.7882i | 0.512434i | ||||||||
\(725\) | −24.8663 | + | 30.5409i | −0.923512 | + | 1.13426i | ||||
\(726\) | −20.6251 | + | 12.6325i | −0.765467 | + | 0.468836i | ||||
\(727\) | −37.9208 | − | 37.9208i | −1.40641 | − | 1.40641i | −0.777405 | − | 0.629001i | \(-0.783464\pi\) |
−0.629001 | − | 0.777405i | \(-0.716536\pi\) | |||||||
\(728\) | −2.41094 | − | 2.41094i | −0.0893553 | − | 0.0893553i | ||||
\(729\) | 4.18684 | + | 26.6734i | 0.155068 | + | 0.987904i | ||||
\(730\) | −9.47607 | − | 19.9352i | −0.350725 | − | 0.737833i | ||||
\(731\) | 28.9865i | 1.07210i | ||||||||
\(732\) | 1.04218 | − | 4.33658i | 0.0385200 | − | 0.160285i | ||||
\(733\) | −4.28209 | + | 4.28209i | −0.158162 | + | 0.158162i | −0.781752 | − | 0.623589i | \(-0.785674\pi\) |
0.623589 | + | 0.781752i | \(0.285674\pi\) | |||||||
\(734\) | −2.12186 | −0.0783192 | ||||||||
\(735\) | 8.37669 | + | 39.7138i | 0.308979 | + | 1.46487i | ||||
\(736\) | −3.33504 | −0.122931 | ||||||||
\(737\) | 40.4976 | − | 40.4976i | 1.49175 | − | 1.49175i | ||||
\(738\) | 6.38052 | + | 19.6681i | 0.234870 | + | 0.723991i | ||||
\(739\) | 53.9288i | 1.98380i | 0.127010 | + | 0.991901i | \(0.459462\pi\) | ||||
−0.127010 | + | 0.991901i | \(0.540538\pi\) | |||||||
\(740\) | 6.00794 | − | 16.8945i | 0.220856 | − | 0.621054i | ||||
\(741\) | −1.68916 | − | 2.75788i | −0.0620527 | − | 0.101313i | ||||
\(742\) | −15.8332 | − | 15.8332i | −0.581253 | − | 0.581253i | ||||
\(743\) | 2.06424 | + | 2.06424i | 0.0757295 | + | 0.0757295i | 0.743957 | − | 0.668227i | \(-0.232947\pi\) |
−0.668227 | + | 0.743957i | \(0.732947\pi\) | |||||||
\(744\) | 0.904654 | + | 1.47702i | 0.0331662 | + | 0.0541504i | ||||
\(745\) | −25.8624 | + | 12.2936i | −0.947527 | + | 0.450401i | ||||
\(746\) | 0.953286i | 0.0349023i | ||||||||
\(747\) | −7.16084 | − | 22.0734i | −0.262001 | − | 0.807624i | ||||
\(748\) | 9.63235 | − | 9.63235i | 0.352194 | − | 0.352194i | ||||
\(749\) | −55.5545 | −2.02992 | ||||||||
\(750\) | −5.90633 | − | 18.4422i | −0.215669 | − | 0.673414i | ||||
\(751\) | −9.57235 | −0.349300 | −0.174650 | − | 0.984631i | \(-0.555879\pi\) | ||||
−0.174650 | + | 0.984631i | \(0.555879\pi\) | |||||||
\(752\) | −4.39924 | + | 4.39924i | −0.160424 | + | 0.160424i | ||||
\(753\) | 1.11771 | − | 4.65089i | 0.0407318 | − | 0.169488i | ||||
\(754\) | − | 6.42365i | − | 0.233935i | ||||||
\(755\) | 8.17841 | − | 3.88756i | 0.297643 | − | 0.141483i | ||||
\(756\) | −21.6586 | + | 1.68950i | −0.787717 | + | 0.0614466i | ||||
\(757\) | 34.0638 | + | 34.0638i | 1.23807 | + | 1.23807i | 0.960788 | + | 0.277283i | \(0.0894340\pi\) |
0.277283 | + | 0.960788i | \(0.410566\pi\) | |||||||
\(758\) | 3.83561 | + | 3.83561i | 0.139316 | + | 0.139316i | ||||
\(759\) | 24.6119 | − | 15.0744i | 0.893356 | − | 0.547166i | ||||
\(760\) | 1.71538 | − | 4.82370i | 0.0622234 | − | 0.174974i | ||||
\(761\) | 33.3780i | 1.20995i | 0.796244 | + | 0.604976i | \(0.206817\pi\) | ||||
−0.796244 | + | 0.604976i | \(0.793183\pi\) | |||||||
\(762\) | −12.5793 | − | 3.02310i | −0.455701 | − | 0.109515i | ||||
\(763\) | 46.3373 | − | 46.3373i | 1.67752 | − | 1.67752i | ||||
\(764\) | 20.9450 | 0.757765 | ||||||||
\(765\) | −13.2891 | + | 12.5657i | −0.480469 | + | 0.454315i | ||||
\(766\) | 7.75257 | 0.280112 | ||||||||
\(767\) | −4.74765 | + | 4.74765i | −0.171428 | + | 0.171428i | ||||
\(768\) | 1.68410 | + | 0.404727i | 0.0607698 | + | 0.0146043i | ||||
\(769\) | 20.8747i | 0.752762i | 0.926465 | + | 0.376381i | \(0.122832\pi\) | ||||
−0.926465 | + | 0.376381i | \(0.877168\pi\) | |||||||
\(770\) | 20.0530 | + | 42.1863i | 0.722661 | + | 1.52029i | ||||
\(771\) | 20.5701 | − | 12.5989i | 0.740815 | − | 0.453737i | ||||
\(772\) | −8.68054 | − | 8.68054i | −0.312419 | − | 0.312419i | ||||
\(773\) | 17.7160 | + | 17.7160i | 0.637200 | + | 0.637200i | 0.949864 | − | 0.312663i | \(-0.101221\pi\) |
−0.312663 | + | 0.949864i | \(0.601221\pi\) | |||||||
\(774\) | 14.4932 | − | 28.4122i | 0.520949 | − | 1.02126i | ||||
\(775\) | −3.15692 | + | 3.87735i | −0.113400 | + | 0.139278i | ||||
\(776\) | − | 12.7299i | − | 0.456978i | ||||||
\(777\) | 13.5690 | − | 56.4616i | 0.486785 | − | 2.02555i | ||||
\(778\) | −23.2733 | + | 23.2733i | −0.834387 | + | 0.834387i | ||||
\(779\) | −15.7806 | −0.565397 | ||||||||
\(780\) | 2.64625 | + | 1.72437i | 0.0947509 | + | 0.0617423i | ||||
\(781\) | −4.03943 | −0.144542 | ||||||||
\(782\) | −6.42950 | + | 6.42950i | −0.229918 | + | 0.229918i | ||||
\(783\) | −31.1041 | − | 26.6027i | −1.11157 | − | 0.950701i | ||||
\(784\) | − | 10.4797i | − | 0.374274i | ||||||
\(785\) | −47.5161 | − | 16.8975i | −1.69592 | − | 0.603097i | ||||
\(786\) | 5.95063 | + | 9.71557i | 0.212252 | + | 0.346543i | ||||
\(787\) | −0.361367 | − | 0.361367i | −0.0128813 | − | 0.0128813i | 0.700637 | − | 0.713518i | \(-0.252899\pi\) |
−0.713518 | + | 0.700637i | \(0.752899\pi\) | |||||||
\(788\) | 10.8415 | + | 10.8415i | 0.386214 | + | 0.386214i | ||||
\(789\) | −19.2389 | − | 31.4112i | −0.684922 | − | 1.11827i | ||||
\(790\) | 12.7255 | + | 4.52538i | 0.452752 | + | 0.161006i | ||||
\(791\) | 39.7127i | 1.41202i | ||||||||
\(792\) | −14.2577 | + | 4.62534i | −0.506625 | + | 0.164354i | ||||
\(793\) | −1.48490 | + | 1.48490i | −0.0527305 | + | 0.0527305i | ||||
\(794\) | −11.5578 | −0.410173 | ||||||||
\(795\) | 17.3785 | + | 11.3243i | 0.616351 | + | 0.401632i | ||||
\(796\) | 14.2096 | 0.503645 | ||||||||
\(797\) | 22.9014 | − | 22.9014i | 0.811210 | − | 0.811210i | −0.173605 | − | 0.984815i | \(-0.555542\pi\) |
0.984815 | + | 0.173605i | \(0.0555417\pi\) | |||||||
\(798\) | 3.87421 | − | 16.1209i | 0.137145 | − | 0.570672i | ||||
\(799\) | 16.9623i | 0.600082i | ||||||||
\(800\) | 0.509417 | + | 4.97398i | 0.0180106 | + | 0.175857i | ||||
\(801\) | −34.9203 | − | 17.8131i | −1.23385 | − | 0.629394i | ||||
\(802\) | −13.1877 | − | 13.1877i | −0.465675 | − | 0.465675i | ||||
\(803\) | −34.8749 | − | 34.8749i | −1.23071 | − | 1.23071i | ||||
\(804\) | 16.9307 | − | 10.3698i | 0.597101 | − | 0.365715i | ||||
\(805\) | −13.3852 | − | 28.1589i | −0.471766 | − | 0.992472i | ||||
\(806\) | − | 0.815520i | − | 0.0287255i | ||||||
\(807\) | −3.18310 | − | 0.764972i | −0.112051 | − | 0.0269283i | ||||
\(808\) | −11.1973 | + | 11.1973i | −0.393918 | + | 0.393918i | ||||
\(809\) | 22.4949 | 0.790878 | 0.395439 | − | 0.918492i | \(-0.370592\pi\) | ||||
0.395439 | + | 0.918492i | \(0.370592\pi\) | |||||||
\(810\) | 19.3087 | − | 5.67223i | 0.678438 | − | 0.199302i | ||||
\(811\) | −10.7028 | −0.375827 | −0.187913 | − | 0.982186i | \(-0.560172\pi\) | ||||
−0.187913 | + | 0.982186i | \(0.560172\pi\) | |||||||
\(812\) | 23.2862 | − | 23.2862i | 0.817186 | − | 0.817186i | ||||
\(813\) | −0.720848 | − | 0.173236i | −0.0252812 | − | 0.00607566i | ||||
\(814\) | − | 40.0659i | − | 1.40431i | ||||||
\(815\) | −7.83917 | + | 22.0439i | −0.274594 | + | 0.772165i | ||||
\(816\) | 4.02697 | − | 2.46645i | 0.140972 | − | 0.0863432i | ||||
\(817\) | 17.2125 | + | 17.2125i | 0.602188 | + | 0.602188i | ||||
\(818\) | 22.3007 | + | 22.3007i | 0.779725 | + | 0.779725i | ||||
\(819\) | 9.11174 | + | 4.64796i | 0.318390 | + | 0.162413i | ||||
\(820\) | 13.9193 | − | 6.61646i | 0.486083 | − | 0.231057i | ||||
\(821\) | 13.9115i | 0.485513i | 0.970087 | + | 0.242757i | \(0.0780517\pi\) | ||||
−0.970087 | + | 0.242757i | \(0.921948\pi\) | |||||||
\(822\) | −3.88880 | + | 16.1816i | −0.135637 | + | 0.564397i | ||||
\(823\) | −32.6557 | + | 32.6557i | −1.13831 | + | 1.13831i | −0.149554 | + | 0.988754i | \(0.547784\pi\) |
−0.988754 | + | 0.149554i | \(0.952216\pi\) | |||||||
\(824\) | 15.0769 | 0.525228 | ||||||||
\(825\) | −26.2418 | − | 34.4044i | −0.913622 | − | 1.19781i | ||||
\(826\) | −34.4212 | −1.19767 | ||||||||
\(827\) | −4.27320 | + | 4.27320i | −0.148594 | + | 0.148594i | −0.777490 | − | 0.628896i | \(-0.783507\pi\) |
0.628896 | + | 0.777490i | \(0.283507\pi\) | |||||||
\(828\) | 9.51686 | − | 3.08737i | 0.330734 | − | 0.107293i | ||||
\(829\) | − | 35.5611i | − | 1.23509i | −0.786536 | − | 0.617544i | \(-0.788128\pi\) | ||
0.786536 | − | 0.617544i | \(-0.211872\pi\) | |||||||
\(830\) | −15.6216 | + | 7.42563i | −0.542233 | + | 0.257747i | ||||
\(831\) | −1.36718 | − | 2.23219i | −0.0474270 | − | 0.0774339i | ||||
\(832\) | −0.576660 | − | 0.576660i | −0.0199921 | − | 0.0199921i | ||||
\(833\) | −20.2034 | − | 20.2034i | −0.700005 | − | 0.700005i | ||||
\(834\) | −1.48009 | − | 2.41653i | −0.0512512 | − | 0.0836776i | ||||
\(835\) | 2.79370 | − | 7.85595i | 0.0966799 | − | 0.271866i | ||||
\(836\) | − | 11.4396i | − | 0.395646i | ||||||
\(837\) | −3.94885 | − | 3.37736i | −0.136492 | − | 0.116739i | ||||
\(838\) | 1.49674 | − | 1.49674i | 0.0517040 | − | 0.0517040i | ||||
\(839\) | −21.6006 | −0.745734 | −0.372867 | − | 0.927885i | \(-0.621625\pi\) | ||||
−0.372867 | + | 0.927885i | \(0.621625\pi\) | |||||||
\(840\) | 3.34188 | + | 15.8438i | 0.115306 | + | 0.546664i | ||||
\(841\) | 33.0433 | 1.13942 | ||||||||
\(842\) | −7.26575 | + | 7.26575i | −0.250394 | + | 0.250394i | ||||
\(843\) | 1.69731 | − | 7.06262i | 0.0584583 | − | 0.243249i | ||||
\(844\) | − | 3.57614i | − | 0.123096i | ||||||
\(845\) | 11.8411 | + | 24.9106i | 0.407347 | + | 0.856952i | ||||
\(846\) | 8.48113 | − | 16.6262i | 0.291587 | − | 0.571621i | ||||
\(847\) | 41.2818 | + | 41.2818i | 1.41846 | + | 1.41846i | ||||
\(848\) | −3.78705 | − | 3.78705i | −0.130048 | − | 0.130048i | ||||
\(849\) | 42.4111 | − | 25.9761i | 1.45555 | − | 0.891499i | ||||
\(850\) | 10.5712 | + | 8.60706i | 0.362590 | + | 0.295220i | ||||
\(851\) | 26.7436i | 0.916758i | ||||||||
\(852\) | −1.36154 | − | 0.327210i | −0.0466458 | − | 0.0112100i | ||||
\(853\) | 11.1150 | − | 11.1150i | 0.380570 | − | 0.380570i | −0.490737 | − | 0.871308i | \(-0.663273\pi\) |
0.871308 | + | 0.490737i | \(0.163273\pi\) | |||||||
\(854\) | −10.7658 | −0.368398 | ||||||||
\(855\) | −0.429542 | + | 15.3529i | −0.0146900 | + | 0.525057i | ||||
\(856\) | −13.2878 | −0.454167 | ||||||||
\(857\) | −14.3136 | + | 14.3136i | −0.488944 | + | 0.488944i | −0.907973 | − | 0.419029i | \(-0.862371\pi\) |
0.419029 | + | 0.907973i | \(0.362371\pi\) | |||||||
\(858\) | 6.86213 | + | 1.64912i | 0.234269 | + | 0.0563002i | ||||
\(859\) | − | 6.23636i | − | 0.212782i | −0.994324 | − | 0.106391i | \(-0.966071\pi\) | ||
0.994324 | − | 0.106391i | \(-0.0339295\pi\) | |||||||
\(860\) | −22.3991 | − | 7.96548i | −0.763804 | − | 0.271621i | ||||
\(861\) | 42.5621 | − | 26.0686i | 1.45051 | − | 0.888416i | ||||
\(862\) | −6.17676 | − | 6.17676i | −0.210381 | − | 0.210381i | ||||
\(863\) | 11.6148 | + | 11.6148i | 0.395374 | + | 0.395374i | 0.876598 | − | 0.481224i | \(-0.159808\pi\) |
−0.481224 | + | 0.876598i | \(0.659808\pi\) | |||||||
\(864\) | −5.18042 | + | 0.404103i | −0.176241 | + | 0.0137479i | ||||
\(865\) | −36.2836 | − | 12.9030i | −1.23368 | − | 0.438716i | ||||
\(866\) | − | 19.3252i | − | 0.656696i | ||||||
\(867\) | −3.87191 | + | 16.1113i | −0.131497 | + | 0.547168i | ||||
\(868\) | 2.95632 | − | 2.95632i | 0.100344 | − | 0.100344i | ||||
\(869\) | 30.1789 | 1.02375 | ||||||||
\(870\) | −16.6549 | + | 25.5590i | −0.564656 | + | 0.866531i | ||||
\(871\) | −9.34809 | −0.316748 | ||||||||
\(872\) | 11.0832 | − | 11.0832i | 0.375324 | − | 0.375324i | ||||
\(873\) | 11.7845 | + | 36.3261i | 0.398846 | + | 1.22945i | ||||
\(874\) | 7.63580i | 0.258285i | ||||||||
\(875\) | −39.9525 | + | 24.2643i | −1.35064 | + | 0.820282i | ||||
\(876\) | −8.93005 | − | 14.5801i | −0.301718 | − | 0.492614i | ||||
\(877\) | −11.3836 | − | 11.3836i | −0.384397 | − | 0.384397i | 0.488286 | − | 0.872683i | \(-0.337622\pi\) |
−0.872683 | + | 0.488286i | \(0.837622\pi\) | |||||||
\(878\) | −17.9145 | − | 17.9145i | −0.604584 | − | 0.604584i | ||||
\(879\) | 27.8649 | + | 45.4950i | 0.939861 | + | 1.53451i | ||||
\(880\) | 4.79637 | + | 10.0903i | 0.161686 | + | 0.340144i | ||||
\(881\) | 54.8586i | 1.84823i | 0.382112 | + | 0.924116i | \(0.375197\pi\) | ||||
−0.382112 | + | 0.924116i | \(0.624803\pi\) | |||||||
\(882\) | 9.70141 | + | 29.9048i | 0.326663 | + | 1.00695i | ||||
\(883\) | 36.7348 | − | 36.7348i | 1.23622 | − | 1.23622i | 0.274693 | − | 0.961532i | \(-0.411424\pi\) |
0.961532 | − | 0.274693i | \(-0.0885761\pi\) | |||||||
\(884\) | −2.22344 | −0.0747824 | ||||||||
\(885\) | 31.1999 | − | 6.58087i | 1.04877 | − | 0.221214i | ||||
\(886\) | −21.5268 | −0.723207 | ||||||||
\(887\) | 21.7550 | − | 21.7550i | 0.730462 | − | 0.730462i | −0.240249 | − | 0.970711i | \(-0.577229\pi\) |
0.970711 | + | 0.240249i | \(0.0772292\pi\) | |||||||
\(888\) | 3.24550 | − | 13.5047i | 0.108912 | − | 0.453190i | ||||
\(889\) | 31.2289i | 1.04738i | ||||||||
\(890\) | −9.79006 | + | 27.5299i | −0.328163 | + | 0.922804i | ||||
\(891\) | 36.4038 | − | 26.3977i | 1.21957 | − | 0.884356i | ||||
\(892\) | −8.25222 | − | 8.25222i | −0.276305 | − | 0.276305i | ||||
\(893\) | 10.0724 | + | 10.0724i | 0.337059 | + | 0.337059i | ||||
\(894\) | −18.9151 | + | 11.5852i | −0.632616 | + | 0.387467i | ||||
\(895\) | −34.4469 | + | 16.3741i | −1.15143 | + | 0.547327i | ||||
\(896\) | − | 4.18087i | − | 0.139673i | ||||||
\(897\) | −4.58040 | − | 1.10077i | −0.152935 | − | 0.0367538i | ||||
\(898\) | −26.1667 | + | 26.1667i | −0.873195 | + | 0.873195i | ||||
\(899\) | 7.87675 | 0.262704 | ||||||||
\(900\) | −6.05826 | − | 13.7222i | −0.201942 | − | 0.457405i | ||||
\(901\) | −14.6018 | −0.486457 | ||||||||
\(902\) | 24.3506 | − | 24.3506i | 0.810788 | − | 0.810788i | ||||
\(903\) | −74.8582 | − | 17.9901i | −2.49113 | − | 0.598674i | ||||
\(904\) | 9.49866i | 0.315921i | ||||||||
\(905\) | −27.8455 | + | 13.2362i | −0.925617 | + | 0.439987i | ||||
\(906\) | 5.98148 | − | 3.66356i | 0.198721 | − | 0.121714i | ||||
\(907\) | −13.1411 | − | 13.1411i | −0.436344 | − | 0.436344i | 0.454436 | − | 0.890780i | \(-0.349841\pi\) |
−0.890780 | + | 0.454436i | \(0.849841\pi\) | |||||||
\(908\) | 3.91654 | + | 3.91654i | 0.129975 | + | 0.129975i | ||||
\(909\) | 21.5868 | − | 42.3181i | 0.715987 | − | 1.40360i | ||||
\(910\) | 2.55452 | − | 7.18336i | 0.0846814 | − | 0.238126i | ||||
\(911\) | 14.0057i | 0.464029i | 0.972712 | + | 0.232014i | \(0.0745317\pi\) | ||||
−0.972712 | + | 0.232014i | \(0.925468\pi\) | |||||||
\(912\) | 0.926650 | − | 3.85586i | 0.0306845 | − | 0.127680i | ||||
\(913\) | −27.3287 | + | 27.3287i | −0.904446 | + | 0.904446i | ||||
\(914\) | 39.4498 | 1.30488 | ||||||||
\(915\) | 9.75826 | − | 2.05828i | 0.322598 | − | 0.0680445i | ||||
\(916\) | 4.19731 | 0.138683 | ||||||||
\(917\) | 19.4461 | − | 19.4461i | 0.642166 | − | 0.642166i | ||||
\(918\) | −9.20807 | + | 10.7662i | −0.303912 | + | 0.355337i | ||||
\(919\) | 20.4283i | 0.673866i | 0.941529 | + | 0.336933i | \(0.109390\pi\) | ||||
−0.941529 | + | 0.336933i | \(0.890610\pi\) | |||||||
\(920\) | −3.20153 | − | 6.73518i | −0.105551 | − | 0.222052i | ||||
\(921\) | −1.44883 | − | 2.36549i | −0.0477404 | − | 0.0779456i | ||||
\(922\) | −20.7288 | − | 20.7288i | −0.682668 | − | 0.682668i | ||||
\(923\) | 0.466212 | + | 0.466212i | 0.0153455 | + | 0.0153455i | ||||
\(924\) | 18.8975 | + | 30.8540i | 0.621684 | + | 1.01502i | ||||
\(925\) | 39.8862 | − | 4.08500i | 1.31145 | − | 0.134314i | ||||
\(926\) | 13.9347i | 0.457922i | ||||||||
\(927\) | −43.0234 | + | 13.9572i | −1.41307 | + | 0.458415i | ||||
\(928\) | 5.56971 | − | 5.56971i | 0.182835 | − | 0.182835i | ||||
\(929\) | −0.520712 | −0.0170840 | −0.00854200 | − | 0.999964i | \(-0.502719\pi\) | ||||
−0.00854200 | + | 0.999964i | \(0.502719\pi\) | |||||||
\(930\) | −2.11444 | + | 3.24486i | −0.0693353 | + | 0.106403i | ||||
\(931\) | −23.9939 | −0.786369 | ||||||||
\(932\) | 21.2882 | − | 21.2882i | 0.697320 | − | 0.697320i | ||||
\(933\) | −4.33207 | + | 18.0261i | −0.141826 | + | 0.590146i | ||||
\(934\) | − | 2.30542i | − | 0.0754357i | ||||||
\(935\) | 28.6995 | + | 10.2060i | 0.938573 | + | 0.333771i | ||||
\(936\) | 2.17939 | + | 1.11172i | 0.0712355 | + | 0.0363377i | ||||
\(937\) | 19.5964 | + | 19.5964i | 0.640186 | + | 0.640186i | 0.950601 | − | 0.310415i | \(-0.100468\pi\) |
−0.310415 | + | 0.950601i | \(0.600468\pi\) | |||||||
\(938\) | −33.8875 | − | 33.8875i | −1.10647 | − | 1.10647i | ||||
\(939\) | −21.2521 | + | 13.0165i | −0.693535 | + | 0.424779i | ||||
\(940\) | −13.1075 | − | 4.66123i | −0.427519 | − | 0.152033i | ||||
\(941\) | 30.2185i | 0.985094i | 0.870286 | + | 0.492547i | \(0.163934\pi\) | ||||
−0.870286 | + | 0.492547i | \(0.836066\pi\) | |||||||
\(942\) | −37.9824 | − | 9.12803i | −1.23753 | − | 0.297407i | ||||
\(943\) | −16.2538 | + | 16.2538i | −0.529297 | + | 0.529297i | ||||
\(944\) | −8.23302 | −0.267962 | ||||||||
\(945\) | −24.2036 | − | 42.1182i | −0.787343 | − | 1.37011i | ||||
\(946\) | −53.1204 | −1.72709 | ||||||||
\(947\) | 27.3560 | − | 27.3560i | 0.888951 | − | 0.888951i | −0.105471 | − | 0.994422i | \(-0.533635\pi\) |
0.994422 | + | 0.105471i | \(0.0336350\pi\) | |||||||
\(948\) | 10.1722 | + | 2.44461i | 0.330378 | + | 0.0793974i | ||||
\(949\) | 8.05019i | 0.261320i | ||||||||
\(950\) | 11.3883 | − | 1.16634i | 0.369484 | − | 0.0378412i | ||||
\(951\) | 10.0267 | − | 6.14121i | 0.325139 | − | 0.199142i | ||||
\(952\) | −8.06014 | − | 8.06014i | −0.261231 | − | 0.261231i | ||||
\(953\) | 14.6735 | + | 14.6735i | 0.475322 | + | 0.475322i | 0.903632 | − | 0.428310i | \(-0.140891\pi\) |
−0.428310 | + | 0.903632i | \(0.640891\pi\) | |||||||
\(954\) | 14.3125 | + | 7.30090i | 0.463385 | + | 0.236375i | ||||
\(955\) | 20.1066 | + | 42.2989i | 0.650633 | + | 1.36876i | ||||
\(956\) | 8.28057i | 0.267813i | ||||||||
\(957\) | −15.9282 | + | 66.2784i | −0.514885 | + | 2.14248i | ||||
\(958\) | 13.1767 | − | 13.1767i | 0.425721 | − | 0.425721i | ||||
\(959\) | 40.1716 | 1.29721 | ||||||||
\(960\) | 0.799327 | + | 3.78960i | 0.0257982 | + | 0.122309i | ||||
\(961\) | 1.00000 | 0.0322581 | ||||||||
\(962\) | −4.62421 | + | 4.62421i | −0.149091 | + | 0.149091i | ||||
\(963\) | 37.9180 | − | 12.3010i | 1.22189 | − | 0.396393i | ||||
\(964\) | 7.96980i | 0.256690i | ||||||||
\(965\) | 9.19749 | − | 25.8636i | 0.296078 | − | 0.832577i | ||||
\(966\) | −12.6139 | − | 20.5947i | −0.405846 | − | 0.662624i | ||||
\(967\) | −40.3911 | − | 40.3911i | −1.29889 | − | 1.29889i | −0.929125 | − | 0.369767i | \(-0.879438\pi\) |
−0.369767 | − | 0.929125i | \(-0.620562\pi\) | |||||||
\(968\) | 9.87398 | + | 9.87398i | 0.317362 | + | 0.317362i | ||||
\(969\) | −5.64711 | − | 9.22002i | −0.181411 | − | 0.296190i | ||||
\(970\) | 25.7083 | − | 12.2203i | 0.825445 | − | 0.392371i | ||||
\(971\) | − | 15.8339i | − | 0.508134i | −0.967187 | − | 0.254067i | \(-0.918232\pi\) | ||
0.967187 | − | 0.254067i | \(-0.0817684\pi\) | |||||||
\(972\) | 14.4087 | − | 5.94884i | 0.462160 | − | 0.190809i | ||||
\(973\) | −4.83678 | + | 4.83678i | −0.155060 | + | 0.155060i | ||||
\(974\) | −23.4333 | −0.750852 | ||||||||
\(975\) | −0.942086 | + | 6.99949i | −0.0301709 | + | 0.224163i | ||||
\(976\) | −2.57501 | −0.0824241 | ||||||||
\(977\) | 22.7765 | − | 22.7765i | 0.728685 | − | 0.728685i | −0.241673 | − | 0.970358i | \(-0.577696\pi\) |
0.970358 | + | 0.241673i | \(0.0776961\pi\) | |||||||
\(978\) | −4.23472 | + | 17.6210i | −0.135412 | + | 0.563457i | ||||
\(979\) | 65.2881i | 2.08662i | ||||||||
\(980\) | 21.1639 | − | 10.0602i | 0.676057 | − | 0.321360i | ||||
\(981\) | −21.3668 | + | 41.8870i | −0.682190 | + | 1.33735i | ||||
\(982\) | 3.81726 | + | 3.81726i | 0.121814 | + | 0.121814i | ||||
\(983\) | 12.0930 | + | 12.0930i | 0.385706 | + | 0.385706i | 0.873153 | − | 0.487447i | \(-0.162072\pi\) |
−0.487447 | + | 0.873153i | \(0.662072\pi\) | |||||||
\(984\) | 10.1802 | − | 6.23521i | 0.324533 | − | 0.198771i | ||||
\(985\) | −11.4872 | + | 32.3023i | −0.366012 | + | 1.02924i | ||||
\(986\) | − | 21.4752i | − | 0.683911i | ||||||
\(987\) | −43.8054 | − | 10.5274i | −1.39434 | − | 0.335092i | ||||
\(988\) | −1.32030 | + | 1.32030i | −0.0420043 | + | 0.0420043i | ||||
\(989\) | 35.4573 | 1.12748 | ||||||||
\(990\) | −23.0279 | − | 24.3535i | −0.731874 | − | 0.774005i | ||||
\(991\) | 21.8197 | 0.693127 | 0.346563 | − | 0.938027i | \(-0.387349\pi\) | ||||
0.346563 | + | 0.938027i | \(0.387349\pi\) | |||||||
\(992\) | 0.707107 | − | 0.707107i | 0.0224507 | − | 0.0224507i | ||||
\(993\) | −4.22894 | − | 1.01631i | −0.134201 | − | 0.0322516i | ||||
\(994\) | 3.38011i | 0.107211i | ||||||||
\(995\) | 13.6407 | + | 28.6965i | 0.432441 | + | 0.909741i | ||||
\(996\) | −11.4252 | + | 6.99776i | −0.362022 | + | 0.221733i | ||||
\(997\) | 8.43753 | + | 8.43753i | 0.267219 | + | 0.267219i | 0.827979 | − | 0.560759i | \(-0.189491\pi\) |
−0.560759 | + | 0.827979i | \(0.689491\pi\) | |||||||
\(998\) | −21.4415 | − | 21.4415i | −0.678719 | − | 0.678719i | ||||
\(999\) | 3.24049 | + | 41.5416i | 0.102524 | + | 1.31432i |
(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.j.h.497.19 | yes | 40 | |
3.2 | odd | 2 | inner | 930.2.j.h.497.5 | ✓ | 40 | |
5.3 | odd | 4 | inner | 930.2.j.h.683.5 | yes | 40 | |
15.8 | even | 4 | inner | 930.2.j.h.683.19 | yes | 40 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
930.2.j.h.497.5 | ✓ | 40 | 3.2 | odd | 2 | inner | |
930.2.j.h.497.19 | yes | 40 | 1.1 | even | 1 | trivial | |
930.2.j.h.683.5 | yes | 40 | 5.3 | odd | 4 | inner | |
930.2.j.h.683.19 | yes | 40 | 15.8 | even | 4 | inner |