Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [403,2,Mod(94,403)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(403, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([2, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("403.94");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 403 = 13 \cdot 31 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 403.f (of order \(3\), 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: | \(3.21797120146\) |
Analytic rank: | \(0\) |
Dimension: | \(36\) |
Relative dimension: | \(18\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 94.9 | ||
Character | \(\chi\) | \(=\) | 403.94 |
Dual form | 403.2.f.c.373.9 |
$q$-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 \(\left(\mathbb{Z}/403\mathbb{Z}\right)^\times\).
\(n\) | \(249\) | \(313\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.0573543 | − | 0.0993406i | −0.0405556 | − | 0.0702444i | 0.845035 | − | 0.534711i | \(-0.179579\pi\) |
−0.885591 | + | 0.464466i | \(0.846246\pi\) | |||||||
\(3\) | −1.57377 | − | 2.72585i | −0.908616 | − | 1.57377i | −0.815988 | − | 0.578069i | \(-0.803806\pi\) |
−0.0926285 | − | 0.995701i | \(-0.529527\pi\) | |||||||
\(4\) | 0.993421 | − | 1.72066i | 0.496710 | − | 0.860328i | ||||
\(5\) | −1.85062 | −0.827622 | −0.413811 | − | 0.910363i | \(-0.635803\pi\) | ||||
−0.413811 | + | 0.910363i | \(0.635803\pi\) | |||||||
\(6\) | −0.180525 | + | 0.312678i | −0.0736990 | + | 0.127650i | ||||
\(7\) | −1.95903 | + | 3.39313i | −0.740442 | + | 1.28248i | 0.211852 | + | 0.977302i | \(0.432050\pi\) |
−0.952294 | + | 0.305182i | \(0.901283\pi\) | |||||||
\(8\) | −0.457325 | −0.161689 | ||||||||
\(9\) | −3.45350 | + | 5.98164i | −1.15117 | + | 1.99388i | ||||
\(10\) | 0.106141 | + | 0.183841i | 0.0335647 | + | 0.0581358i | ||||
\(11\) | −1.20027 | − | 2.07893i | −0.361895 | − | 0.626820i | 0.626378 | − | 0.779520i | \(-0.284537\pi\) |
−0.988273 | + | 0.152699i | \(0.951203\pi\) | |||||||
\(12\) | −6.25366 | −1.80528 | ||||||||
\(13\) | 2.92716 | − | 2.10517i | 0.811848 | − | 0.583869i | ||||
\(14\) | 0.449434 | 0.120116 | ||||||||
\(15\) | 2.91245 | + | 5.04451i | 0.751991 | + | 1.30249i | ||||
\(16\) | −1.96061 | − | 3.39588i | −0.490153 | − | 0.848970i | ||||
\(17\) | 0.578116 | − | 1.00133i | 0.140214 | − | 0.242857i | −0.787363 | − | 0.616489i | \(-0.788554\pi\) |
0.927577 | + | 0.373632i | \(0.121888\pi\) | |||||||
\(18\) | 0.792293 | 0.186745 | ||||||||
\(19\) | −2.84828 | + | 4.93337i | −0.653440 | + | 1.13179i | 0.328842 | + | 0.944385i | \(0.393342\pi\) |
−0.982282 | + | 0.187407i | \(0.939992\pi\) | |||||||
\(20\) | −1.83844 | + | 3.18428i | −0.411088 | + | 0.712026i | ||||
\(21\) | 12.3322 | 2.69111 | ||||||||
\(22\) | −0.137681 | + | 0.238471i | −0.0293537 | + | 0.0508422i | ||||
\(23\) | 1.14809 | + | 1.98856i | 0.239394 | + | 0.414643i | 0.960541 | − | 0.278140i | \(-0.0897178\pi\) |
−0.721146 | + | 0.692783i | \(0.756384\pi\) | |||||||
\(24\) | 0.719724 | + | 1.24660i | 0.146913 | + | 0.254461i | ||||
\(25\) | −1.57521 | −0.315042 | ||||||||
\(26\) | −0.377014 | − | 0.170045i | −0.0739385 | − | 0.0333486i | ||||
\(27\) | 12.2975 | 2.36665 | ||||||||
\(28\) | 3.89227 | + | 6.74162i | 0.735571 | + | 1.27405i | ||||
\(29\) | −1.80476 | − | 3.12593i | −0.335135 | − | 0.580471i | 0.648376 | − | 0.761321i | \(-0.275449\pi\) |
−0.983511 | + | 0.180849i | \(0.942115\pi\) | |||||||
\(30\) | 0.334083 | − | 0.578648i | 0.0609949 | − | 0.105646i | ||||
\(31\) | 1.00000 | 0.179605 | ||||||||
\(32\) | −0.682224 | + | 1.18165i | −0.120601 | + | 0.208888i | ||||
\(33\) | −3.77790 | + | 6.54351i | −0.657647 | + | 1.13908i | ||||
\(34\) | −0.132630 | −0.0227458 | ||||||||
\(35\) | 3.62541 | − | 6.27939i | 0.612806 | − | 1.06141i | ||||
\(36\) | 6.86156 | + | 11.8846i | 1.14359 | + | 1.98076i | ||||
\(37\) | 2.03099 | + | 3.51778i | 0.333893 | + | 0.578320i | 0.983272 | − | 0.182146i | \(-0.0583042\pi\) |
−0.649379 | + | 0.760465i | \(0.724971\pi\) | |||||||
\(38\) | 0.653445 | 0.106003 | ||||||||
\(39\) | −10.3451 | − | 4.66594i | −1.65653 | − | 0.747148i | ||||
\(40\) | 0.846334 | 0.133817 | ||||||||
\(41\) | −5.19036 | − | 8.98997i | −0.810598 | − | 1.40400i | −0.912446 | − | 0.409197i | \(-0.865809\pi\) |
0.101848 | − | 0.994800i | \(-0.467525\pi\) | |||||||
\(42\) | −0.707306 | − | 1.22509i | −0.109140 | − | 0.189035i | ||||
\(43\) | −3.88774 | + | 6.73377i | −0.592875 | + | 1.02689i | 0.400968 | + | 0.916092i | \(0.368674\pi\) |
−0.993843 | + | 0.110798i | \(0.964659\pi\) | |||||||
\(44\) | −4.76949 | −0.719028 | ||||||||
\(45\) | 6.39111 | − | 11.0697i | 0.952731 | − | 1.65018i | ||||
\(46\) | 0.131696 | − | 0.228105i | 0.0194176 | − | 0.0336322i | ||||
\(47\) | −6.34617 | −0.925683 | −0.462842 | − | 0.886441i | \(-0.653170\pi\) | ||||
−0.462842 | + | 0.886441i | \(0.653170\pi\) | |||||||
\(48\) | −6.17110 | + | 10.6887i | −0.890722 | + | 1.54278i | ||||
\(49\) | −4.17556 | − | 7.23229i | −0.596509 | − | 1.03318i | ||||
\(50\) | 0.0903452 | + | 0.156482i | 0.0127767 | + | 0.0221300i | ||||
\(51\) | −3.63928 | −0.509602 | ||||||||
\(52\) | −0.714372 | − | 7.12795i | −0.0990656 | − | 0.988469i | ||||
\(53\) | −13.7783 | −1.89259 | −0.946294 | − | 0.323307i | \(-0.895205\pi\) | ||||
−0.946294 | + | 0.323307i | \(0.895205\pi\) | |||||||
\(54\) | −0.705312 | − | 1.22164i | −0.0959807 | − | 0.166244i | ||||
\(55\) | 2.22124 | + | 3.84730i | 0.299512 | + | 0.518770i | ||||
\(56\) | 0.895911 | − | 1.55176i | 0.119721 | − | 0.207363i | ||||
\(57\) | 17.9302 | 2.37491 | ||||||||
\(58\) | −0.207021 | + | 0.358571i | −0.0271832 | + | 0.0470827i | ||||
\(59\) | −2.25149 | + | 3.89969i | −0.293119 | + | 0.507697i | −0.974546 | − | 0.224190i | \(-0.928026\pi\) |
0.681427 | + | 0.731886i | \(0.261360\pi\) | |||||||
\(60\) | 11.5731 | 1.49409 | ||||||||
\(61\) | 6.15677 | − | 10.6638i | 0.788293 | − | 1.36536i | −0.138719 | − | 0.990332i | \(-0.544298\pi\) |
0.927012 | − | 0.375032i | \(-0.122368\pi\) | |||||||
\(62\) | −0.0573543 | − | 0.0993406i | −0.00728400 | − | 0.0126163i | ||||
\(63\) | −13.5310 | − | 23.4364i | −1.70475 | − | 2.95271i | ||||
\(64\) | −7.68594 | −0.960742 | ||||||||
\(65\) | −5.41705 | + | 3.89587i | −0.671903 | + | 0.483223i | ||||
\(66\) | 0.866714 | 0.106685 | ||||||||
\(67\) | 3.01445 | + | 5.22119i | 0.368274 | + | 0.637869i | 0.989296 | − | 0.145924i | \(-0.0466155\pi\) |
−0.621022 | + | 0.783793i | \(0.713282\pi\) | |||||||
\(68\) | −1.14862 | − | 1.98948i | −0.139291 | − | 0.241259i | ||||
\(69\) | 3.61367 | − | 6.25907i | 0.435035 | − | 0.753503i | ||||
\(70\) | −0.831731 | −0.0994109 | ||||||||
\(71\) | 0.806770 | − | 1.39737i | 0.0957460 | − | 0.165837i | −0.814174 | − | 0.580621i | \(-0.802810\pi\) |
0.909920 | + | 0.414784i | \(0.136143\pi\) | |||||||
\(72\) | 1.57937 | − | 2.73555i | 0.186131 | − | 0.322388i | ||||
\(73\) | −0.223037 | −0.0261045 | −0.0130522 | − | 0.999915i | \(-0.504155\pi\) | ||||
−0.0130522 | + | 0.999915i | \(0.504155\pi\) | |||||||
\(74\) | 0.232972 | − | 0.403520i | 0.0270825 | − | 0.0469082i | ||||
\(75\) | 2.47902 | + | 4.29379i | 0.286253 | + | 0.495804i | ||||
\(76\) | 5.65908 | + | 9.80182i | 0.649141 | + | 1.12435i | ||||
\(77\) | 9.40544 | 1.07185 | ||||||||
\(78\) | 0.129816 | + | 1.29529i | 0.0146988 | + | 0.146663i | ||||
\(79\) | −15.0674 | −1.69521 | −0.847605 | − | 0.530628i | \(-0.821956\pi\) | ||||
−0.847605 | + | 0.530628i | \(0.821956\pi\) | |||||||
\(80\) | 3.62835 | + | 6.28448i | 0.405661 | + | 0.702626i | ||||
\(81\) | −8.99285 | − | 15.5761i | −0.999205 | − | 1.73067i | ||||
\(82\) | −0.595379 | + | 1.03123i | −0.0657486 | + | 0.113880i | ||||
\(83\) | 13.5585 | 1.48824 | 0.744121 | − | 0.668045i | \(-0.232869\pi\) | ||||
0.744121 | + | 0.668045i | \(0.232869\pi\) | |||||||
\(84\) | 12.2511 | − | 21.2195i | 1.33670 | − | 2.31524i | ||||
\(85\) | −1.06987 | + | 1.85307i | −0.116044 | + | 0.200994i | ||||
\(86\) | 0.891915 | 0.0961777 | ||||||||
\(87\) | −5.68055 | + | 9.83900i | −0.609019 | + | 1.05485i | ||||
\(88\) | 0.548913 | + | 0.950746i | 0.0585144 | + | 0.101350i | ||||
\(89\) | −6.55693 | − | 11.3569i | −0.695034 | − | 1.20383i | −0.970169 | − | 0.242428i | \(-0.922056\pi\) |
0.275136 | − | 0.961405i | \(-0.411277\pi\) | |||||||
\(90\) | −1.46623 | −0.154554 | ||||||||
\(91\) | 1.40874 | + | 14.0563i | 0.147676 | + | 1.47350i | ||||
\(92\) | 4.56217 | 0.475639 | ||||||||
\(93\) | −1.57377 | − | 2.72585i | −0.163192 | − | 0.282657i | ||||
\(94\) | 0.363980 | + | 0.630432i | 0.0375417 | + | 0.0650241i | ||||
\(95\) | 5.27108 | − | 9.12978i | 0.540801 | − | 0.936696i | ||||
\(96\) | 4.29465 | 0.438321 | ||||||||
\(97\) | −4.26130 | + | 7.38080i | −0.432670 | + | 0.749406i | −0.997102 | − | 0.0760731i | \(-0.975762\pi\) |
0.564432 | + | 0.825479i | \(0.309095\pi\) | |||||||
\(98\) | −0.478973 | + | 0.829605i | −0.0483836 | + | 0.0838028i | ||||
\(99\) | 16.5805 | 1.66641 | ||||||||
\(100\) | −1.56485 | + | 2.71040i | −0.156485 | + | 0.271040i | ||||
\(101\) | −7.27795 | − | 12.6058i | −0.724183 | − | 1.25432i | −0.959309 | − | 0.282357i | \(-0.908884\pi\) |
0.235126 | − | 0.971965i | \(-0.424450\pi\) | |||||||
\(102\) | 0.208729 | + | 0.361528i | 0.0206672 | + | 0.0357966i | ||||
\(103\) | −0.840819 | −0.0828483 | −0.0414242 | − | 0.999142i | \(-0.513189\pi\) | ||||
−0.0414242 | + | 0.999142i | \(0.513189\pi\) | |||||||
\(104\) | −1.33866 | + | 0.962747i | −0.131267 | + | 0.0944051i | ||||
\(105\) | −22.8222 | −2.22722 | ||||||||
\(106\) | 0.790242 | + | 1.36874i | 0.0767551 | + | 0.132944i | ||||
\(107\) | −1.14449 | − | 1.98231i | −0.110642 | − | 0.191637i | 0.805387 | − | 0.592749i | \(-0.201957\pi\) |
−0.916029 | + | 0.401112i | \(0.868624\pi\) | |||||||
\(108\) | 12.2165 | − | 21.1597i | 1.17554 | − | 2.03609i | ||||
\(109\) | 6.96622 | 0.667243 | 0.333622 | − | 0.942707i | \(-0.391729\pi\) | ||||
0.333622 | + | 0.942707i | \(0.391729\pi\) | |||||||
\(110\) | 0.254795 | − | 0.441319i | 0.0242938 | − | 0.0420781i | ||||
\(111\) | 6.39263 | − | 11.0724i | 0.606761 | − | 1.05094i | ||||
\(112\) | 15.3636 | 1.45172 | ||||||||
\(113\) | −0.675473 | + | 1.16995i | −0.0635431 | + | 0.110060i | −0.896047 | − | 0.443960i | \(-0.853573\pi\) |
0.832504 | + | 0.554020i | \(0.186907\pi\) | |||||||
\(114\) | −1.02837 | − | 1.78119i | −0.0963158 | − | 0.166824i | ||||
\(115\) | −2.12468 | − | 3.68006i | −0.198128 | − | 0.343168i | ||||
\(116\) | −7.17154 | −0.665861 | ||||||||
\(117\) | 2.48342 | + | 24.7794i | 0.229593 | + | 2.29086i | ||||
\(118\) | 0.516530 | 0.0475504 | ||||||||
\(119\) | 2.26509 | + | 3.92325i | 0.207640 | + | 0.359643i | ||||
\(120\) | −1.33193 | − | 2.30698i | −0.121588 | − | 0.210597i | ||||
\(121\) | 2.61871 | − | 4.53573i | 0.238064 | − | 0.412339i | ||||
\(122\) | −1.41247 | −0.127879 | ||||||||
\(123\) | −16.3369 | + | 28.2963i | −1.47305 | + | 2.55139i | ||||
\(124\) | 0.993421 | − | 1.72066i | 0.0892118 | − | 0.154519i | ||||
\(125\) | 12.1682 | 1.08836 | ||||||||
\(126\) | −1.55212 | + | 2.68835i | −0.138274 | + | 0.239498i | ||||
\(127\) | −4.95744 | − | 8.58653i | −0.439901 | − | 0.761932i | 0.557780 | − | 0.829989i | \(-0.311653\pi\) |
−0.997681 | + | 0.0680572i | \(0.978320\pi\) | |||||||
\(128\) | 1.80527 | + | 3.12682i | 0.159565 | + | 0.276374i | ||||
\(129\) | 24.4736 | 2.15478 | ||||||||
\(130\) | 0.697709 | + | 0.314688i | 0.0611931 | + | 0.0276000i | ||||
\(131\) | 10.2639 | 0.896759 | 0.448379 | − | 0.893843i | \(-0.352001\pi\) | ||||
0.448379 | + | 0.893843i | \(0.352001\pi\) | |||||||
\(132\) | 7.50608 | + | 13.0009i | 0.653321 | + | 1.13158i | ||||
\(133\) | −11.1597 | − | 19.3292i | −0.967670 | − | 1.67605i | ||||
\(134\) | 0.345784 | − | 0.598915i | 0.0298712 | − | 0.0517384i | ||||
\(135\) | −22.7579 | −1.95869 | ||||||||
\(136\) | −0.264387 | + | 0.457931i | −0.0226710 | + | 0.0392673i | ||||
\(137\) | −2.47476 | + | 4.28642i | −0.211433 | + | 0.366213i | −0.952163 | − | 0.305590i | \(-0.901146\pi\) |
0.740730 | + | 0.671803i | \(0.234480\pi\) | |||||||
\(138\) | −0.829039 | −0.0705725 | ||||||||
\(139\) | −3.00910 | + | 5.21191i | −0.255229 | + | 0.442069i | −0.964958 | − | 0.262406i | \(-0.915484\pi\) |
0.709729 | + | 0.704475i | \(0.248817\pi\) | |||||||
\(140\) | −7.20311 | − | 12.4762i | −0.608774 | − | 1.05443i | ||||
\(141\) | 9.98740 | + | 17.2987i | 0.841091 | + | 1.45681i | ||||
\(142\) | −0.185087 | −0.0155321 | ||||||||
\(143\) | −7.88988 | − | 3.55858i | −0.659785 | − | 0.297583i | ||||
\(144\) | 27.0839 | 2.25699 | ||||||||
\(145\) | 3.33992 | + | 5.78491i | 0.277365 | + | 0.480411i | ||||
\(146\) | 0.0127921 | + | 0.0221566i | 0.00105868 | + | 0.00183369i | ||||
\(147\) | −13.1427 | + | 22.7639i | −1.08400 | + | 1.87754i | ||||
\(148\) | 8.07052 | 0.663393 | ||||||||
\(149\) | −1.13797 | + | 1.97102i | −0.0932259 | + | 0.161472i | −0.908867 | − | 0.417087i | \(-0.863051\pi\) |
0.815641 | + | 0.578558i | \(0.196385\pi\) | |||||||
\(150\) | 0.284365 | − | 0.492535i | 0.0232183 | − | 0.0402153i | ||||
\(151\) | −5.71326 | −0.464939 | −0.232469 | − | 0.972604i | \(-0.574681\pi\) | ||||
−0.232469 | + | 0.972604i | \(0.574681\pi\) | |||||||
\(152\) | 1.30259 | − | 2.25615i | 0.105654 | − | 0.182998i | ||||
\(153\) | 3.99305 | + | 6.91616i | 0.322819 | + | 0.559138i | ||||
\(154\) | −0.539442 | − | 0.934341i | −0.0434695 | − | 0.0752914i | ||||
\(155\) | −1.85062 | −0.148645 | ||||||||
\(156\) | −18.3055 | + | 13.1650i | −1.46561 | + | 1.05405i | ||||
\(157\) | −3.80252 | −0.303474 | −0.151737 | − | 0.988421i | \(-0.548487\pi\) | ||||
−0.151737 | + | 0.988421i | \(0.548487\pi\) | |||||||
\(158\) | 0.864177 | + | 1.49680i | 0.0687503 | + | 0.119079i | ||||
\(159\) | 21.6838 | + | 37.5574i | 1.71964 | + | 2.97850i | ||||
\(160\) | 1.26254 | − | 2.18678i | 0.0998123 | − | 0.172880i | ||||
\(161\) | −8.99659 | −0.709030 | ||||||||
\(162\) | −1.03156 | + | 1.78671i | −0.0810468 | + | 0.140377i | ||||
\(163\) | 3.91997 | − | 6.78959i | 0.307036 | − | 0.531802i | −0.670677 | − | 0.741750i | \(-0.733996\pi\) |
0.977713 | + | 0.209948i | \(0.0673295\pi\) | |||||||
\(164\) | −20.6249 | −1.61053 | ||||||||
\(165\) | 6.99144 | − | 12.1095i | 0.544283 | − | 0.942726i | ||||
\(166\) | −0.777640 | − | 1.34691i | −0.0603566 | − | 0.104541i | ||||
\(167\) | −12.4045 | − | 21.4851i | −0.959885 | − | 1.66257i | −0.722770 | − | 0.691089i | \(-0.757131\pi\) |
−0.237115 | − | 0.971481i | \(-0.576202\pi\) | |||||||
\(168\) | −5.63983 | −0.435123 | ||||||||
\(169\) | 4.13652 | − | 12.3243i | 0.318194 | − | 0.948026i | ||||
\(170\) | 0.245447 | 0.0188249 | ||||||||
\(171\) | −19.6731 | − | 34.0748i | −1.50444 | − | 2.60576i | ||||
\(172\) | 7.72433 | + | 13.3789i | 0.588975 | + | 1.02013i | ||||
\(173\) | 11.7534 | − | 20.3575i | 0.893594 | − | 1.54775i | 0.0580594 | − | 0.998313i | \(-0.481509\pi\) |
0.835535 | − | 0.549438i | \(-0.185158\pi\) | |||||||
\(174\) | 1.30322 | 0.0987965 | ||||||||
\(175\) | 3.08588 | − | 5.34490i | 0.233271 | − | 0.404037i | ||||
\(176\) | −4.70653 | + | 8.15194i | −0.354768 | + | 0.614476i | ||||
\(177\) | 14.1733 | 1.06533 | ||||||||
\(178\) | −0.752137 | + | 1.30274i | −0.0563750 | + | 0.0976444i | ||||
\(179\) | −4.86542 | − | 8.42716i | −0.363659 | − | 0.629876i | 0.624901 | − | 0.780704i | \(-0.285139\pi\) |
−0.988560 | + | 0.150828i | \(0.951806\pi\) | |||||||
\(180\) | −12.6981 | − | 21.9938i | −0.946463 | − | 1.63932i | ||||
\(181\) | 9.23219 | 0.686223 | 0.343112 | − | 0.939295i | \(-0.388519\pi\) | ||||
0.343112 | + | 0.939295i | \(0.388519\pi\) | |||||||
\(182\) | 1.31556 | − | 0.946135i | 0.0975162 | − | 0.0701322i | ||||
\(183\) | −38.7573 | −2.86502 | ||||||||
\(184\) | −0.525052 | − | 0.909417i | −0.0387074 | − | 0.0670431i | ||||
\(185\) | −3.75859 | − | 6.51007i | −0.276337 | − | 0.478630i | ||||
\(186\) | −0.180525 | + | 0.312678i | −0.0132367 | + | 0.0229267i | ||||
\(187\) | −2.77558 | −0.202970 | ||||||||
\(188\) | −6.30441 | + | 10.9196i | −0.459797 | + | 0.796391i | ||||
\(189\) | −24.0910 | + | 41.7269i | −1.75236 | + | 3.03518i | ||||
\(190\) | −1.20928 | −0.0877301 | ||||||||
\(191\) | −8.28211 | + | 14.3450i | −0.599273 | + | 1.03797i | 0.393656 | + | 0.919258i | \(0.371210\pi\) |
−0.992929 | + | 0.118713i | \(0.962123\pi\) | |||||||
\(192\) | 12.0959 | + | 20.9507i | 0.872946 | + | 1.51199i | ||||
\(193\) | 8.03449 | + | 13.9161i | 0.578335 | + | 1.00171i | 0.995670 | + | 0.0929533i | \(0.0296307\pi\) |
−0.417335 | + | 0.908753i | \(0.637036\pi\) | |||||||
\(194\) | 0.977616 | 0.0701888 | ||||||||
\(195\) | 19.1447 | + | 8.63487i | 1.37098 | + | 0.618356i | ||||
\(196\) | −16.5924 | −1.18517 | ||||||||
\(197\) | 7.00950 | + | 12.1408i | 0.499406 | + | 0.864997i | 1.00000 | 0.000685478i | \(-0.000218194\pi\) | |
−0.500594 | + | 0.865682i | \(0.666885\pi\) | |||||||
\(198\) | −0.950965 | − | 1.64712i | −0.0675821 | − | 0.117056i | ||||
\(199\) | 12.3322 | − | 21.3599i | 0.874204 | − | 1.51417i | 0.0165965 | − | 0.999862i | \(-0.494717\pi\) |
0.857608 | − | 0.514304i | \(-0.171950\pi\) | |||||||
\(200\) | 0.720384 | 0.0509388 | ||||||||
\(201\) | 9.48811 | − | 16.4339i | 0.669240 | − | 1.15916i | ||||
\(202\) | −0.834844 | + | 1.44599i | −0.0587394 | + | 0.101740i | ||||
\(203\) | 14.1423 | 0.992593 | ||||||||
\(204\) | −3.61534 | + | 6.26195i | −0.253124 | + | 0.438424i | ||||
\(205\) | 9.60538 | + | 16.6370i | 0.670869 | + | 1.16198i | ||||
\(206\) | 0.0482246 | + | 0.0835274i | 0.00335996 | + | 0.00581963i | ||||
\(207\) | −15.8598 | −1.10233 | ||||||||
\(208\) | −12.8879 | − | 5.81286i | −0.893617 | − | 0.403049i | ||||
\(209\) | 13.6748 | 0.945907 | ||||||||
\(210\) | 1.30895 | + | 2.26717i | 0.0903263 | + | 0.156450i | ||||
\(211\) | 2.93021 | + | 5.07527i | 0.201724 | + | 0.349396i | 0.949084 | − | 0.315023i | \(-0.102012\pi\) |
−0.747360 | + | 0.664419i | \(0.768679\pi\) | |||||||
\(212\) | −13.6876 | + | 23.7076i | −0.940068 | + | 1.62825i | ||||
\(213\) | −5.07868 | −0.347986 | ||||||||
\(214\) | −0.131282 | + | 0.227388i | −0.00897428 | + | 0.0155439i | ||||
\(215\) | 7.19473 | − | 12.4616i | 0.490676 | − | 0.849876i | ||||
\(216\) | −5.62393 | −0.382660 | ||||||||
\(217\) | −1.95903 | + | 3.39313i | −0.132987 | + | 0.230341i | ||||
\(218\) | −0.399543 | − | 0.692029i | −0.0270605 | − | 0.0468701i | ||||
\(219\) | 0.351008 | + | 0.607964i | 0.0237190 | + | 0.0410824i | ||||
\(220\) | 8.82651 | 0.595083 | ||||||||
\(221\) | −0.415725 | − | 4.14807i | −0.0279647 | − | 0.279029i | ||||
\(222\) | −1.46658 | −0.0984303 | ||||||||
\(223\) | −3.99985 | − | 6.92794i | −0.267850 | − | 0.463929i | 0.700457 | − | 0.713695i | \(-0.252980\pi\) |
−0.968306 | + | 0.249766i | \(0.919646\pi\) | |||||||
\(224\) | −2.67299 | − | 4.62975i | −0.178597 | − | 0.309338i | ||||
\(225\) | 5.44000 | − | 9.42235i | 0.362667 | − | 0.628157i | ||||
\(226\) | 0.154965 | 0.0103081 | ||||||||
\(227\) | 2.98142 | − | 5.16398i | 0.197884 | − | 0.342745i | −0.749958 | − | 0.661485i | \(-0.769926\pi\) |
0.947842 | + | 0.318740i | \(0.103260\pi\) | |||||||
\(228\) | 17.8122 | − | 30.8516i | 1.17964 | − | 2.04320i | ||||
\(229\) | 10.3970 | 0.687052 | 0.343526 | − | 0.939143i | \(-0.388379\pi\) | ||||
0.343526 | + | 0.939143i | \(0.388379\pi\) | |||||||
\(230\) | −0.243720 | + | 0.422135i | −0.0160704 | + | 0.0278347i | ||||
\(231\) | −14.8020 | − | 25.6378i | −0.973900 | − | 1.68684i | ||||
\(232\) | 0.825361 | + | 1.42957i | 0.0541876 | + | 0.0938557i | ||||
\(233\) | −2.55141 | −0.167149 | −0.0835743 | − | 0.996502i | \(-0.526634\pi\) | ||||
−0.0835743 | + | 0.996502i | \(0.526634\pi\) | |||||||
\(234\) | 2.31917 | − | 1.66791i | 0.151609 | − | 0.109035i | ||||
\(235\) | 11.7443 | 0.766116 | ||||||||
\(236\) | 4.47335 | + | 7.74807i | 0.291190 | + | 0.504356i | ||||
\(237\) | 23.7125 | + | 41.0713i | 1.54029 | + | 2.66787i | ||||
\(238\) | 0.259825 | − | 0.450030i | 0.0168419 | − | 0.0291711i | ||||
\(239\) | −19.3159 | −1.24944 | −0.624722 | − | 0.780847i | \(-0.714788\pi\) | ||||
−0.624722 | + | 0.780847i | \(0.714788\pi\) | |||||||
\(240\) | 11.4204 | − | 19.7806i | 0.737181 | − | 1.27683i | ||||
\(241\) | 3.33542 | − | 5.77711i | 0.214853 | − | 0.372136i | −0.738374 | − | 0.674391i | \(-0.764406\pi\) |
0.953227 | + | 0.302255i | \(0.0977394\pi\) | |||||||
\(242\) | −0.600776 | −0.0386193 | ||||||||
\(243\) | −9.85917 | + | 17.0766i | −0.632466 | + | 1.09546i | ||||
\(244\) | −12.2325 | − | 21.1873i | −0.783107 | − | 1.35638i | ||||
\(245\) | 7.72737 | + | 13.3842i | 0.493684 | + | 0.855085i | ||||
\(246\) | 3.74796 | 0.238961 | ||||||||
\(247\) | 2.04821 | + | 20.4369i | 0.130324 | + | 1.30037i | ||||
\(248\) | −0.457325 | −0.0290402 | ||||||||
\(249\) | −21.3380 | − | 36.9585i | −1.35224 | − | 2.34215i | ||||
\(250\) | −0.697899 | − | 1.20880i | −0.0441390 | − | 0.0764510i | ||||
\(251\) | −1.99313 | + | 3.45221i | −0.125805 | + | 0.217901i | −0.922047 | − | 0.387077i | \(-0.873485\pi\) |
0.796242 | + | 0.604978i | \(0.206818\pi\) | |||||||
\(252\) | −53.7679 | −3.38706 | ||||||||
\(253\) | 2.75605 | − | 4.77361i | 0.173271 | − | 0.300114i | ||||
\(254\) | −0.568661 | + | 0.984949i | −0.0356809 | + | 0.0618012i | ||||
\(255\) | 6.73492 | 0.421757 | ||||||||
\(256\) | −7.47886 | + | 12.9538i | −0.467428 | + | 0.809610i | ||||
\(257\) | −4.33581 | − | 7.50984i | −0.270460 | − | 0.468451i | 0.698520 | − | 0.715591i | \(-0.253843\pi\) |
−0.968980 | + | 0.247140i | \(0.920509\pi\) | |||||||
\(258\) | −1.40367 | − | 2.43123i | −0.0873886 | − | 0.151361i | ||||
\(259\) | −15.9151 | −0.988914 | ||||||||
\(260\) | 1.32203 | + | 13.1911i | 0.0819888 | + | 0.818078i | ||||
\(261\) | 24.9309 | 1.54319 | ||||||||
\(262\) | −0.588677 | − | 1.01962i | −0.0363686 | − | 0.0629923i | ||||
\(263\) | 8.85676 | + | 15.3404i | 0.546131 | + | 0.945927i | 0.998535 | + | 0.0541134i | \(0.0172332\pi\) |
−0.452404 | + | 0.891813i | \(0.649433\pi\) | |||||||
\(264\) | 1.72773 | − | 2.99251i | 0.106334 | − | 0.184176i | ||||
\(265\) | 25.4983 | 1.56635 | ||||||||
\(266\) | −1.28011 | + | 2.21722i | −0.0784889 | + | 0.135947i | ||||
\(267\) | −20.6382 | + | 35.7464i | −1.26304 | + | 2.18765i | ||||
\(268\) | 11.9785 | 0.731702 | ||||||||
\(269\) | −13.4909 | + | 23.3670i | −0.822556 | + | 1.42471i | 0.0812175 | + | 0.996696i | \(0.474119\pi\) |
−0.903773 | + | 0.428012i | \(0.859214\pi\) | |||||||
\(270\) | 1.30526 | + | 2.26078i | 0.0794357 | + | 0.137587i | ||||
\(271\) | 3.80478 | + | 6.59007i | 0.231124 | + | 0.400318i | 0.958139 | − | 0.286303i | \(-0.0924264\pi\) |
−0.727015 | + | 0.686621i | \(0.759093\pi\) | |||||||
\(272\) | −4.53384 | −0.274905 | ||||||||
\(273\) | 36.0984 | − | 25.9614i | 2.18477 | − | 1.57126i | ||||
\(274\) | 0.567753 | 0.0342992 | ||||||||
\(275\) | 1.89068 | + | 3.27475i | 0.114012 | + | 0.197475i | ||||
\(276\) | −7.17980 | − | 12.4358i | −0.432173 | − | 0.748546i | ||||
\(277\) | 4.67080 | − | 8.09006i | 0.280641 | − | 0.486085i | −0.690902 | − | 0.722949i | \(-0.742786\pi\) |
0.971543 | + | 0.236864i | \(0.0761196\pi\) | |||||||
\(278\) | 0.690339 | 0.0414038 | ||||||||
\(279\) | −3.45350 | + | 5.98164i | −0.206756 | + | 0.358111i | ||||
\(280\) | −1.65799 | + | 2.87172i | −0.0990839 | + | 0.171618i | ||||
\(281\) | −11.7276 | −0.699607 | −0.349804 | − | 0.936823i | \(-0.613752\pi\) | ||||
−0.349804 | + | 0.936823i | \(0.613752\pi\) | |||||||
\(282\) | 1.14564 | − | 1.98431i | 0.0682219 | − | 0.118164i | ||||
\(283\) | 6.60670 | + | 11.4431i | 0.392728 | + | 0.680224i | 0.992808 | − | 0.119715i | \(-0.0381982\pi\) |
−0.600081 | + | 0.799939i | \(0.704865\pi\) | |||||||
\(284\) | −1.60292 | − | 2.77635i | −0.0951161 | − | 0.164746i | ||||
\(285\) | −33.1819 | −1.96552 | ||||||||
\(286\) | 0.0990070 | + | 0.987885i | 0.00585441 | + | 0.0584148i | ||||
\(287\) | 40.6722 | 2.40080 | ||||||||
\(288\) | −4.71212 | − | 8.16164i | −0.277665 | − | 0.480929i | ||||
\(289\) | 7.83156 | + | 13.5647i | 0.460680 | + | 0.797922i | ||||
\(290\) | 0.383117 | − | 0.663579i | 0.0224974 | − | 0.0389667i | ||||
\(291\) | 26.8252 | 1.57252 | ||||||||
\(292\) | −0.221569 | + | 0.383769i | −0.0129664 | + | 0.0224584i | ||||
\(293\) | −12.1194 | + | 20.9913i | −0.708020 | + | 1.22633i | 0.257570 | + | 0.966260i | \(0.417078\pi\) |
−0.965590 | + | 0.260067i | \(0.916255\pi\) | |||||||
\(294\) | 3.01517 | 0.175848 | ||||||||
\(295\) | 4.16664 | − | 7.21684i | 0.242591 | − | 0.420181i | ||||
\(296\) | −0.928824 | − | 1.60877i | −0.0539868 | − | 0.0935078i | ||||
\(297\) | −14.7603 | − | 25.5655i | −0.856477 | − | 1.48346i | ||||
\(298\) | 0.261069 | 0.0151233 | ||||||||
\(299\) | 7.54691 | + | 3.40389i | 0.436449 | + | 0.196852i | ||||
\(300\) | 9.85085 | 0.568739 | ||||||||
\(301\) | −15.2324 | − | 26.3832i | −0.877979 | − | 1.52071i | ||||
\(302\) | 0.327680 | + | 0.567559i | 0.0188559 | + | 0.0326593i | ||||
\(303\) | −22.9076 | + | 39.6772i | −1.31601 | + | 2.27940i | ||||
\(304\) | 22.3375 | 1.28114 | ||||||||
\(305\) | −11.3938 | + | 19.7347i | −0.652408 | + | 1.13000i | ||||
\(306\) | 0.458037 | − | 0.793343i | 0.0261842 | − | 0.0453524i | ||||
\(307\) | −5.84317 | −0.333487 | −0.166744 | − | 0.986000i | \(-0.553325\pi\) | ||||
−0.166744 | + | 0.986000i | \(0.553325\pi\) | |||||||
\(308\) | 9.34356 | − | 16.1835i | 0.532399 | − | 0.922141i | ||||
\(309\) | 1.32325 | + | 2.29194i | 0.0752773 | + | 0.130384i | ||||
\(310\) | 0.106141 | + | 0.183841i | 0.00602840 | + | 0.0104415i | ||||
\(311\) | 29.6929 | 1.68373 | 0.841866 | − | 0.539687i | \(-0.181457\pi\) | ||||
0.841866 | + | 0.539687i | \(0.181457\pi\) | |||||||
\(312\) | 4.73105 | + | 2.13385i | 0.267843 | + | 0.120806i | ||||
\(313\) | 6.51178 | 0.368067 | 0.184034 | − | 0.982920i | \(-0.441084\pi\) | ||||
0.184034 | + | 0.982920i | \(0.441084\pi\) | |||||||
\(314\) | 0.218091 | + | 0.377745i | 0.0123076 | + | 0.0213174i | ||||
\(315\) | 25.0407 | + | 43.3718i | 1.41088 | + | 2.44372i | ||||
\(316\) | −14.9682 | + | 25.9257i | −0.842028 | + | 1.45844i | ||||
\(317\) | −5.69726 | −0.319990 | −0.159995 | − | 0.987118i | \(-0.551148\pi\) | ||||
−0.159995 | + | 0.987118i | \(0.551148\pi\) | |||||||
\(318\) | 2.48732 | − | 4.30816i | 0.139482 | − | 0.241590i | ||||
\(319\) | −4.33239 | + | 7.50393i | −0.242567 | + | 0.420139i | ||||
\(320\) | 14.2237 | 0.795131 | ||||||||
\(321\) | −3.60232 | + | 6.23939i | −0.201062 | + | 0.348249i | ||||
\(322\) | 0.515993 | + | 0.893726i | 0.0287552 | + | 0.0498054i | ||||
\(323\) | 3.29327 | + | 5.70411i | 0.183243 | + | 0.317385i | ||||
\(324\) | −35.7347 | −1.98526 | ||||||||
\(325\) | −4.61090 | + | 3.31609i | −0.255766 | + | 0.183944i | ||||
\(326\) | −0.899308 | −0.0498081 | ||||||||
\(327\) | −10.9632 | − | 18.9889i | −0.606268 | − | 1.05009i | ||||
\(328\) | 2.37368 | + | 4.11134i | 0.131065 | + | 0.227011i | ||||
\(329\) | 12.4323 | − | 21.5334i | 0.685415 | − | 1.18717i | ||||
\(330\) | −1.60396 | −0.0882949 | ||||||||
\(331\) | 9.43035 | − | 16.3338i | 0.518339 | − | 0.897789i | −0.481434 | − | 0.876482i | \(-0.659884\pi\) |
0.999773 | − | 0.0213070i | \(-0.00678275\pi\) | |||||||
\(332\) | 13.4693 | − | 23.3296i | 0.739225 | − | 1.28038i | ||||
\(333\) | −28.0561 | −1.53747 | ||||||||
\(334\) | −1.42290 | + | 2.46453i | −0.0778575 | + | 0.134853i | ||||
\(335\) | −5.57860 | − | 9.66242i | −0.304792 | − | 0.527915i | ||||
\(336\) | −24.1787 | − | 41.8787i | −1.31906 | − | 2.28467i | ||||
\(337\) | −1.76471 | −0.0961300 | −0.0480650 | − | 0.998844i | \(-0.515305\pi\) | ||||
−0.0480650 | + | 0.998844i | \(0.515305\pi\) | |||||||
\(338\) | −1.46155 | + | 0.295930i | −0.0794980 | + | 0.0160965i | ||||
\(339\) | 4.25215 | 0.230945 | ||||||||
\(340\) | 2.12567 | + | 3.68176i | 0.115280 | + | 0.199671i | ||||
\(341\) | −1.20027 | − | 2.07893i | −0.0649982 | − | 0.112580i | ||||
\(342\) | −2.25667 | + | 3.90867i | −0.122027 | + | 0.211357i | ||||
\(343\) | 5.29378 | 0.285837 | ||||||||
\(344\) | 1.77796 | − | 3.07952i | 0.0958613 | − | 0.166037i | ||||
\(345\) | −6.68753 | + | 11.5831i | −0.360044 | + | 0.623615i | ||||
\(346\) | −2.69643 | −0.144961 | ||||||||
\(347\) | 9.27319 | − | 16.0616i | 0.497811 | − | 0.862234i | −0.502186 | − | 0.864760i | \(-0.667471\pi\) |
0.999997 | + | 0.00252573i | \(0.000803966\pi\) | |||||||
\(348\) | 11.2864 | + | 19.5485i | 0.605012 | + | 1.04791i | ||||
\(349\) | −8.00333 | − | 13.8622i | −0.428409 | − | 0.742026i | 0.568323 | − | 0.822805i | \(-0.307592\pi\) |
−0.996732 | + | 0.0807798i | \(0.974259\pi\) | |||||||
\(350\) | −0.707954 | −0.0378417 | ||||||||
\(351\) | 35.9966 | − | 25.8882i | 1.92136 | − | 1.38181i | ||||
\(352\) | 3.27541 | 0.174580 | ||||||||
\(353\) | 6.63541 | + | 11.4929i | 0.353167 | + | 0.611704i | 0.986803 | − | 0.161928i | \(-0.0517713\pi\) |
−0.633635 | + | 0.773632i | \(0.718438\pi\) | |||||||
\(354\) | −0.812899 | − | 1.40798i | −0.0432051 | − | 0.0748334i | ||||
\(355\) | −1.49302 | + | 2.58599i | −0.0792415 | + | 0.137250i | ||||
\(356\) | −26.0552 | −1.38092 | ||||||||
\(357\) | 7.12945 | − | 12.3486i | 0.377330 | − | 0.653556i | ||||
\(358\) | −0.558106 | + | 0.966668i | −0.0294968 | + | 0.0510900i | ||||
\(359\) | −26.9064 | −1.42007 | −0.710033 | − | 0.704168i | \(-0.751320\pi\) | ||||
−0.710033 | + | 0.704168i | \(0.751320\pi\) | |||||||
\(360\) | −2.92282 | + | 5.06247i | −0.154046 | + | 0.266815i | ||||
\(361\) | −6.72541 | − | 11.6487i | −0.353969 | − | 0.613092i | ||||
\(362\) | −0.529506 | − | 0.917131i | −0.0278302 | − | 0.0482033i | ||||
\(363\) | −16.4850 | −0.865236 | ||||||||
\(364\) | 25.5856 | + | 11.5399i | 1.34105 | + | 0.604854i | ||||
\(365\) | 0.412756 | 0.0216046 | ||||||||
\(366\) | 2.22290 | + | 3.85017i | 0.116193 | + | 0.201252i | ||||
\(367\) | 3.66619 | + | 6.35003i | 0.191374 | + | 0.331469i | 0.945706 | − | 0.325024i | \(-0.105372\pi\) |
−0.754332 | + | 0.656493i | \(0.772039\pi\) | |||||||
\(368\) | 4.50194 | − | 7.79758i | 0.234680 | − | 0.406477i | ||||
\(369\) | 71.6997 | 3.73254 | ||||||||
\(370\) | −0.431143 | + | 0.746761i | −0.0224140 | + | 0.0388223i | ||||
\(371\) | 26.9919 | − | 46.7514i | 1.40135 | − | 2.42721i | ||||
\(372\) | −6.25366 | −0.324237 | ||||||||
\(373\) | 10.0660 | − | 17.4348i | 0.521196 | − | 0.902739i | −0.478500 | − | 0.878088i | \(-0.658819\pi\) |
0.999696 | − | 0.0246510i | \(-0.00784745\pi\) | |||||||
\(374\) | 0.159191 | + | 0.275728i | 0.00823159 | + | 0.0142575i | ||||
\(375\) | −19.1500 | − | 33.1687i | −0.988899 | − | 1.71282i | ||||
\(376\) | 2.90226 | 0.149673 | ||||||||
\(377\) | −11.8634 | − | 5.35078i | −0.610998 | − | 0.275579i | ||||
\(378\) | 5.52689 | 0.284273 | ||||||||
\(379\) | −16.8835 | − | 29.2431i | −0.867246 | − | 1.50211i | −0.864799 | − | 0.502118i | \(-0.832554\pi\) |
−0.00244701 | − | 0.999997i | \(-0.500779\pi\) | |||||||
\(380\) | −10.4728 | − | 18.1394i | −0.537243 | − | 0.930533i | ||||
\(381\) | −15.6037 | + | 27.0265i | −0.799403 | + | 1.38461i | ||||
\(382\) | 1.90006 | 0.0972155 | ||||||||
\(383\) | −8.61564 | + | 14.9227i | −0.440238 | + | 0.762515i | −0.997707 | − | 0.0676827i | \(-0.978439\pi\) |
0.557468 | + | 0.830198i | \(0.311773\pi\) | |||||||
\(384\) | 5.68216 | − | 9.84178i | 0.289966 | − | 0.502236i | ||||
\(385\) | −17.4059 | −0.887085 | ||||||||
\(386\) | 0.921625 | − | 1.59630i | 0.0469095 | − | 0.0812496i | ||||
\(387\) | −26.8527 | − | 46.5102i | −1.36500 | − | 2.36424i | ||||
\(388\) | 8.46654 | + | 14.6645i | 0.429823 | + | 0.744476i | ||||
\(389\) | 21.3286 | 1.08140 | 0.540701 | − | 0.841215i | \(-0.318159\pi\) | ||||
0.540701 | + | 0.841215i | \(0.318159\pi\) | |||||||
\(390\) | −0.240240 | − | 2.39710i | −0.0121650 | − | 0.121382i | ||||
\(391\) | 2.65493 | 0.134265 | ||||||||
\(392\) | 1.90959 | + | 3.30751i | 0.0964488 | + | 0.167054i | ||||
\(393\) | −16.1530 | − | 27.9778i | −0.814810 | − | 1.41129i | ||||
\(394\) | 0.804050 | − | 1.39266i | 0.0405074 | − | 0.0701610i | ||||
\(395\) | 27.8839 | 1.40299 | ||||||||
\(396\) | 16.4715 | − | 28.5294i | 0.827722 | − | 1.43366i | ||||
\(397\) | 5.97206 | − | 10.3439i | 0.299729 | − | 0.519146i | −0.676345 | − | 0.736585i | \(-0.736437\pi\) |
0.976074 | + | 0.217439i | \(0.0697703\pi\) | |||||||
\(398\) | −2.82921 | −0.141816 | ||||||||
\(399\) | −35.1256 | + | 60.8394i | −1.75848 | + | 3.04578i | ||||
\(400\) | 3.08838 | + | 5.34923i | 0.154419 | + | 0.267462i | ||||
\(401\) | −5.99419 | − | 10.3822i | −0.299336 | − | 0.518465i | 0.676648 | − | 0.736306i | \(-0.263432\pi\) |
−0.975984 | + | 0.217842i | \(0.930098\pi\) | |||||||
\(402\) | −2.17674 | −0.108566 | ||||||||
\(403\) | 2.92716 | − | 2.10517i | 0.145812 | − | 0.104866i | ||||
\(404\) | −28.9203 | −1.43884 | ||||||||
\(405\) | 16.6423 | + | 28.8254i | 0.826964 | + | 1.43234i | ||||
\(406\) | −0.811120 | − | 1.40490i | −0.0402552 | − | 0.0697241i | ||||
\(407\) | 4.87548 | − | 8.44457i | 0.241668 | − | 0.418582i | ||||
\(408\) | 1.66434 | 0.0823969 | ||||||||
\(409\) | −14.4803 | + | 25.0806i | −0.716005 | + | 1.24016i | 0.246566 | + | 0.969126i | \(0.420698\pi\) |
−0.962571 | + | 0.271030i | \(0.912636\pi\) | |||||||
\(410\) | 1.10182 | − | 1.90841i | 0.0544150 | − | 0.0942495i | ||||
\(411\) | 15.5788 | 0.768447 | ||||||||
\(412\) | −0.835287 | + | 1.44676i | −0.0411516 | + | 0.0712767i | ||||
\(413\) | −8.82144 | − | 15.2792i | −0.434075 | − | 0.751840i | ||||
\(414\) | 0.909627 | + | 1.57552i | 0.0447057 | + | 0.0774326i | ||||
\(415\) | −25.0917 | −1.23170 | ||||||||
\(416\) | 0.490589 | + | 4.89507i | 0.0240531 | + | 0.240000i | ||||
\(417\) | 18.9425 | 0.927619 | ||||||||
\(418\) | −0.784310 | − | 1.35846i | −0.0383618 | − | 0.0664447i | ||||
\(419\) | −8.27769 | − | 14.3374i | −0.404392 | − | 0.700427i | 0.589859 | − | 0.807506i | \(-0.299183\pi\) |
−0.994250 | + | 0.107079i | \(0.965850\pi\) | |||||||
\(420\) | −22.6721 | + | 39.2692i | −1.10628 | + | 1.91614i | ||||
\(421\) | −21.1054 | −1.02861 | −0.514307 | − | 0.857606i | \(-0.671951\pi\) | ||||
−0.514307 | + | 0.857606i | \(0.671951\pi\) | |||||||
\(422\) | 0.336120 | − | 0.582177i | 0.0163621 | − | 0.0283400i | ||||
\(423\) | 21.9165 | − | 37.9605i | 1.06562 | − | 1.84570i | ||||
\(424\) | 6.30114 | 0.306010 | ||||||||
\(425\) | −0.910655 | + | 1.57730i | −0.0441732 | + | 0.0765103i | ||||
\(426\) | 0.291284 | + | 0.504519i | 0.0141128 | + | 0.0244440i | ||||
\(427\) | 24.1225 | + | 41.7814i | 1.16737 | + | 2.02195i | ||||
\(428\) | −4.54783 | −0.219828 | ||||||||
\(429\) | 2.71670 | + | 27.1070i | 0.131163 | + | 1.30874i | ||||
\(430\) | −1.65059 | −0.0795987 | ||||||||
\(431\) | −5.16631 | − | 8.94831i | −0.248852 | − | 0.431025i | 0.714355 | − | 0.699783i | \(-0.246720\pi\) |
−0.963208 | + | 0.268758i | \(0.913387\pi\) | |||||||
\(432\) | −24.1105 | − | 41.7607i | −1.16002 | − | 2.00921i | ||||
\(433\) | −0.691731 | + | 1.19811i | −0.0332425 | + | 0.0575777i | −0.882168 | − | 0.470935i | \(-0.843917\pi\) |
0.848926 | + | 0.528512i | \(0.177250\pi\) | |||||||
\(434\) | 0.449434 | 0.0215735 | ||||||||
\(435\) | 10.5125 | − | 18.2082i | 0.504037 | − | 0.873018i | ||||
\(436\) | 6.92039 | − | 11.9865i | 0.331427 | − | 0.574048i | ||||
\(437\) | −13.0804 | −0.625720 | ||||||||
\(438\) | 0.0402637 | − | 0.0697387i | 0.00192387 | − | 0.00333225i | ||||
\(439\) | −18.8769 | − | 32.6958i | −0.900946 | − | 1.56048i | −0.826269 | − | 0.563276i | \(-0.809541\pi\) |
−0.0746772 | − | 0.997208i | \(-0.523793\pi\) | |||||||
\(440\) | −1.01583 | − | 1.75947i | −0.0484278 | − | 0.0838793i | ||||
\(441\) | 57.6813 | 2.74673 | ||||||||
\(442\) | −0.388228 | + | 0.279208i | −0.0184661 | + | 0.0132806i | ||||
\(443\) | −1.31631 | −0.0625397 | −0.0312698 | − | 0.999511i | \(-0.509955\pi\) | ||||
−0.0312698 | + | 0.999511i | \(0.509955\pi\) | |||||||
\(444\) | −12.7011 | − | 21.9990i | −0.602770 | − | 1.04403i | ||||
\(445\) | 12.1344 | + | 21.0174i | 0.575225 | + | 0.996319i | ||||
\(446\) | −0.458817 | + | 0.794694i | −0.0217256 | + | 0.0376298i | ||||
\(447\) | 7.16359 | 0.338826 | ||||||||
\(448\) | 15.0569 | − | 26.0794i | 0.711374 | − | 1.23214i | ||||
\(449\) | 5.83965 | − | 10.1146i | 0.275590 | − | 0.477336i | −0.694694 | − | 0.719306i | \(-0.744460\pi\) |
0.970284 | + | 0.241969i | \(0.0777934\pi\) | |||||||
\(450\) | −1.24803 | −0.0588327 | ||||||||
\(451\) | −12.4597 | + | 21.5808i | −0.586703 | + | 1.01620i | ||||
\(452\) | 1.34206 | + | 2.32451i | 0.0631251 | + | 0.109336i | ||||
\(453\) | 8.99136 | + | 15.5735i | 0.422451 | + | 0.731706i | ||||
\(454\) | −0.683990 | −0.0321012 | ||||||||
\(455\) | −2.60704 | − | 26.0129i | −0.122220 | − | 1.21950i | ||||
\(456\) | −8.19991 | −0.383996 | ||||||||
\(457\) | 11.4692 | + | 19.8652i | 0.536505 | + | 0.929254i | 0.999089 | + | 0.0426785i | \(0.0135891\pi\) |
−0.462584 | + | 0.886576i | \(0.653078\pi\) | |||||||
\(458\) | −0.596312 | − | 1.03284i | −0.0278638 | − | 0.0482616i | ||||
\(459\) | 7.10935 | − | 12.3138i | 0.331836 | − | 0.574757i | ||||
\(460\) | −8.44283 | −0.393649 | ||||||||
\(461\) | 2.20453 | − | 3.81836i | 0.102675 | − | 0.177839i | −0.810111 | − | 0.586277i | \(-0.800593\pi\) |
0.912786 | + | 0.408438i | \(0.133926\pi\) | |||||||
\(462\) | −1.69792 | + | 2.94088i | −0.0789942 | + | 0.136822i | ||||
\(463\) | −2.25333 | −0.104721 | −0.0523606 | − | 0.998628i | \(-0.516675\pi\) | ||||
−0.0523606 | + | 0.998628i | \(0.516675\pi\) | |||||||
\(464\) | −7.07686 | + | 12.2575i | −0.328535 | + | 0.569040i | ||||
\(465\) | 2.91245 | + | 5.04451i | 0.135061 | + | 0.233933i | ||||
\(466\) | 0.146334 | + | 0.253459i | 0.00677881 | + | 0.0117412i | ||||
\(467\) | −1.19442 | −0.0552714 | −0.0276357 | − | 0.999618i | \(-0.508798\pi\) | ||||
−0.0276357 | + | 0.999618i | \(0.508798\pi\) | |||||||
\(468\) | 45.1039 | + | 20.3433i | 2.08493 | + | 0.940369i | ||||
\(469\) | −23.6216 | −1.09074 | ||||||||
\(470\) | −0.673588 | − | 1.16669i | −0.0310703 | − | 0.0538153i | ||||
\(471\) | 5.98429 | + | 10.3651i | 0.275742 | + | 0.477599i | ||||
\(472\) | 1.02966 | − | 1.78343i | 0.0473940 | − | 0.0820888i | ||||
\(473\) | 18.6654 | 0.858234 | ||||||||
\(474\) | 2.72003 | − | 4.71123i | 0.124935 | − | 0.216394i | ||||
\(475\) | 4.48665 | − | 7.77110i | 0.205861 | − | 0.356563i | ||||
\(476\) | 9.00074 | 0.412548 | ||||||||
\(477\) | 47.5832 | − | 82.4166i | 2.17869 | − | 3.77359i | ||||
\(478\) | 1.10785 | + | 1.91886i | 0.0506720 | + | 0.0877664i | ||||
\(479\) | 14.4024 | + | 24.9457i | 0.658063 | + | 1.13980i | 0.981116 | + | 0.193418i | \(0.0619574\pi\) |
−0.323053 | + | 0.946381i | \(0.604709\pi\) | |||||||
\(480\) | −7.94777 | −0.362764 | ||||||||
\(481\) | 13.3506 | + | 6.02152i | 0.608733 | + | 0.274558i | ||||
\(482\) | −0.765202 | −0.0348540 | ||||||||
\(483\) | 14.1586 | + | 24.5233i | 0.644237 | + | 1.11585i | ||||
\(484\) | −5.20295 | − | 9.01178i | −0.236498 | − | 0.409626i | ||||
\(485\) | 7.88605 | − | 13.6590i | 0.358087 | − | 0.620225i | ||||
\(486\) | 2.26186 | 0.102600 | ||||||||
\(487\) | −13.0474 | + | 22.5988i | −0.591236 | + | 1.02405i | 0.402831 | + | 0.915275i | \(0.368026\pi\) |
−0.994066 | + | 0.108776i | \(0.965307\pi\) | |||||||
\(488\) | −2.81564 | + | 4.87684i | −0.127458 | + | 0.220764i | ||||
\(489\) | −24.6765 | −1.11591 | ||||||||
\(490\) | 0.886396 | − | 1.53528i | 0.0400433 | − | 0.0693570i | ||||
\(491\) | 9.89158 | + | 17.1327i | 0.446401 | + | 0.773189i | 0.998149 | − | 0.0608221i | \(-0.0193722\pi\) |
−0.551748 | + | 0.834011i | \(0.686039\pi\) | |||||||
\(492\) | 32.4588 | + | 56.2202i | 1.46335 | + | 2.53460i | ||||
\(493\) | −4.17344 | −0.187962 | ||||||||
\(494\) | 1.91274 | − | 1.37561i | 0.0860581 | − | 0.0618917i | ||||
\(495\) | −30.6842 | −1.37915 | ||||||||
\(496\) | −1.96061 | − | 3.39588i | −0.0880341 | − | 0.152480i | ||||
\(497\) | 3.16097 | + | 5.47495i | 0.141789 | + | 0.245585i | ||||
\(498\) | −2.44765 | + | 4.23946i | −0.109682 | + | 0.189975i | ||||
\(499\) | −21.5363 | −0.964096 | −0.482048 | − | 0.876145i | \(-0.660107\pi\) | ||||
−0.482048 | + | 0.876145i | \(0.660107\pi\) | |||||||
\(500\) | 12.0882 | − | 20.9373i | 0.540599 | − | 0.936344i | ||||
\(501\) | −39.0435 | + | 67.6253i | −1.74434 | + | 3.02128i | ||||
\(502\) | 0.457259 | 0.0204085 | ||||||||
\(503\) | −17.3752 | + | 30.0948i | −0.774723 | + | 1.34186i | 0.160226 | + | 0.987080i | \(0.448778\pi\) |
−0.934950 | + | 0.354780i | \(0.884556\pi\) | |||||||
\(504\) | 6.18806 | + | 10.7180i | 0.275638 | + | 0.477419i | ||||
\(505\) | 13.4687 | + | 23.3285i | 0.599350 | + | 1.03810i | ||||
\(506\) | −0.632284 | −0.0281085 | ||||||||
\(507\) | −40.1042 | + | 8.12015i | −1.78109 | + | 0.360628i | ||||
\(508\) | −19.6993 | −0.874015 | ||||||||
\(509\) | 7.60606 | + | 13.1741i | 0.337133 | + | 0.583931i | 0.983892 | − | 0.178763i | \(-0.0572096\pi\) |
−0.646760 | + | 0.762694i | \(0.723876\pi\) | |||||||
\(510\) | −0.386277 | − | 0.669051i | −0.0171046 | − | 0.0296261i | ||||
\(511\) | 0.436935 | − | 0.756793i | 0.0193289 | − | 0.0334786i | ||||
\(512\) | 8.93686 | 0.394957 | ||||||||
\(513\) | −35.0266 | + | 60.6678i | −1.54646 | + | 2.67855i | ||||
\(514\) | −0.497354 | + | 0.861443i | −0.0219374 | + | 0.0379966i | ||||
\(515\) | 1.55603 | 0.0685671 | ||||||||
\(516\) | 24.3126 | − | 42.1107i | 1.07030 | − | 1.85382i | ||||
\(517\) | 7.61711 | + | 13.1932i | 0.335000 | + | 0.580237i | ||||
\(518\) | 0.912797 | + | 1.58101i | 0.0401060 | + | 0.0694656i | ||||
\(519\) | −73.9886 | −3.24774 | ||||||||
\(520\) | 2.47735 | − | 1.78168i | 0.108639 | − | 0.0781317i | ||||
\(521\) | −6.96645 | −0.305206 | −0.152603 | − | 0.988288i | \(-0.548766\pi\) | ||||
−0.152603 | + | 0.988288i | \(0.548766\pi\) | |||||||
\(522\) | −1.42990 | − | 2.47665i | −0.0625849 | − | 0.108400i | ||||
\(523\) | 0.223127 | + | 0.386467i | 0.00975665 | + | 0.0168990i | 0.870863 | − | 0.491527i | \(-0.163561\pi\) |
−0.861106 | + | 0.508426i | \(0.830228\pi\) | |||||||
\(524\) | 10.1963 | − | 17.6606i | 0.445429 | − | 0.771507i | ||||
\(525\) | −19.4259 | −0.847814 | ||||||||
\(526\) | 1.01595 | − | 1.75967i | 0.0442973 | − | 0.0767253i | ||||
\(527\) | 0.578116 | − | 1.00133i | 0.0251831 | − | 0.0436184i | ||||
\(528\) | 29.6280 | 1.28939 | ||||||||
\(529\) | 8.86376 | − | 15.3525i | 0.385381 | − | 0.667499i | ||||
\(530\) | −1.46244 | − | 2.53301i | −0.0635242 | − | 0.110027i | ||||
\(531\) | −15.5510 | − | 26.9352i | −0.674857 | − | 1.16889i | ||||
\(532\) | −44.3452 | −1.92261 | ||||||||
\(533\) | −34.1184 | − | 15.3885i | −1.47783 | − | 0.666549i | ||||
\(534\) | 4.73476 | 0.204893 | ||||||||
\(535\) | 2.11801 | + | 3.66850i | 0.0915694 | + | 0.158603i | ||||
\(536\) | −1.37858 | − | 2.38778i | −0.0595458 | − | 0.103136i | ||||
\(537\) | −15.3141 | + | 26.5248i | −0.660853 | + | 1.14463i | ||||
\(538\) | 3.09505 | 0.133437 | ||||||||
\(539\) | −10.0236 | + | 17.3614i | −0.431747 | + | 0.747808i | ||||
\(540\) | −22.6082 | + | 39.1585i | −0.972900 | + | 1.68511i | ||||
\(541\) | −5.63993 | −0.242479 | −0.121240 | − | 0.992623i | \(-0.538687\pi\) | ||||
−0.121240 | + | 0.992623i | \(0.538687\pi\) | |||||||
\(542\) | 0.436441 | − | 0.755937i | 0.0187467 | − | 0.0324703i | ||||
\(543\) | −14.5293 | − | 25.1656i | −0.623514 | − | 1.07996i | ||||
\(544\) | 0.788809 | + | 1.36626i | 0.0338199 | + | 0.0585778i | ||||
\(545\) | −12.8918 | −0.552225 | ||||||||
\(546\) | −4.64942 | − | 2.09703i | −0.198977 | − | 0.0897447i | ||||
\(547\) | −38.3429 | −1.63942 | −0.819711 | − | 0.572777i | \(-0.805866\pi\) | ||||
−0.819711 | + | 0.572777i | \(0.805866\pi\) | |||||||
\(548\) | 4.91696 | + | 8.51643i | 0.210042 | + | 0.363804i | ||||
\(549\) | 42.5248 | + | 73.6551i | 1.81491 | + | 3.14352i | ||||
\(550\) | 0.216877 | − | 0.375642i | 0.00924767 | − | 0.0160174i | ||||
\(551\) | 20.5618 | 0.875964 | ||||||||
\(552\) | −1.65262 | + | 2.86243i | −0.0703403 | + | 0.121833i | ||||
\(553\) | 29.5173 | − | 51.1255i | 1.25520 | − | 2.17408i | ||||
\(554\) | −1.07156 | −0.0455263 | ||||||||
\(555\) | −11.8303 | + | 20.4907i | −0.502169 | + | 0.869782i | ||||
\(556\) | 5.97861 | + | 10.3552i | 0.253549 | + | 0.439160i | ||||
\(557\) | −3.44356 | − | 5.96443i | −0.145908 | − | 0.252721i | 0.783803 | − | 0.621009i | \(-0.213277\pi\) |
−0.929712 | + | 0.368289i | \(0.879944\pi\) | |||||||
\(558\) | 0.792293 | 0.0335404 | ||||||||
\(559\) | 2.79569 | + | 27.8952i | 0.118245 | + | 1.17984i | ||||
\(560\) | −28.4321 | −1.20147 | ||||||||
\(561\) | 4.36812 | + | 7.56581i | 0.184422 | + | 0.319429i | ||||
\(562\) | 0.672625 | + | 1.16502i | 0.0283730 | + | 0.0491435i | ||||
\(563\) | 15.6598 | − | 27.1236i | 0.659983 | − | 1.14312i | −0.320636 | − | 0.947202i | \(-0.603897\pi\) |
0.980619 | − | 0.195922i | \(-0.0627700\pi\) | |||||||
\(564\) | 39.6868 | 1.67112 | ||||||||
\(565\) | 1.25004 | − | 2.16514i | 0.0525897 | − | 0.0910880i | ||||
\(566\) | 0.757845 | − | 1.31263i | 0.0318546 | − | 0.0551738i | ||||
\(567\) | 70.4689 | 2.95941 | ||||||||
\(568\) | −0.368956 | + | 0.639051i | −0.0154811 | + | 0.0268140i | ||||
\(569\) | 19.8907 | + | 34.4518i | 0.833863 | + | 1.44429i | 0.894952 | + | 0.446162i | \(0.147209\pi\) |
−0.0610890 | + | 0.998132i | \(0.519457\pi\) | |||||||
\(570\) | 1.90312 | + | 3.29630i | 0.0797130 | + | 0.138067i | ||||
\(571\) | 0.389896 | 0.0163166 | 0.00815831 | − | 0.999967i | \(-0.497403\pi\) | ||||
0.00815831 | + | 0.999967i | \(0.497403\pi\) | |||||||
\(572\) | −13.9611 | + | 10.0406i | −0.583741 | + | 0.419818i | ||||
\(573\) | 52.1365 | 2.17804 | ||||||||
\(574\) | −2.33273 | − | 4.04040i | −0.0973661 | − | 0.168643i | ||||
\(575\) | −1.80849 | − | 3.13240i | −0.0754194 | − | 0.130630i | ||||
\(576\) | 26.5434 | − | 45.9745i | 1.10597 | − | 1.91560i | ||||
\(577\) | −30.0919 | −1.25274 | −0.626370 | − | 0.779526i | \(-0.715460\pi\) | ||||
−0.626370 | + | 0.779526i | \(0.715460\pi\) | |||||||
\(578\) | 0.898348 | − | 1.55598i | 0.0373663 | − | 0.0647204i | ||||
\(579\) | 25.2889 | − | 43.8016i | 1.05097 | − | 1.82033i | ||||
\(580\) | 13.2718 | 0.551081 | ||||||||
\(581\) | −26.5615 | + | 46.0059i | −1.10196 | + | 1.90865i | ||||
\(582\) | −1.53854 | − | 2.66483i | −0.0637747 | − | 0.110461i | ||||
\(583\) | 16.5376 | + | 28.6440i | 0.684918 | + | 1.18631i | ||||
\(584\) | 0.102000 | 0.00422080 | ||||||||
\(585\) | −4.59587 | − | 45.8573i | −0.190016 | − | 1.89596i | ||||
\(586\) | 2.78039 | 0.114857 | ||||||||
\(587\) | 2.93723 | + | 5.08743i | 0.121232 | + | 0.209981i | 0.920254 | − | 0.391322i | \(-0.127982\pi\) |
−0.799022 | + | 0.601302i | \(0.794649\pi\) | |||||||
\(588\) | 26.1126 | + | 45.2283i | 1.07686 | + | 1.86518i | ||||
\(589\) | −2.84828 | + | 4.93337i | −0.117361 | + | 0.203276i | ||||
\(590\) | −0.955900 | −0.0393538 | ||||||||
\(591\) | 22.0627 | − | 38.2137i | 0.907537 | − | 1.57190i | ||||
\(592\) | 7.96398 | − | 13.7940i | 0.327317 | − | 0.566930i | ||||
\(593\) | 9.27836 | 0.381016 | 0.190508 | − | 0.981686i | \(-0.438986\pi\) | ||||
0.190508 | + | 0.981686i | \(0.438986\pi\) | |||||||
\(594\) | −1.69313 | + | 2.93258i | −0.0694699 | + | 0.120325i | ||||
\(595\) | −4.19181 | − | 7.26043i | −0.171847 | − | 0.297649i | ||||
\(596\) | 2.26096 | + | 3.91610i | 0.0926126 | + | 0.160410i | ||||
\(597\) | −77.6320 | −3.17727 | ||||||||
\(598\) | −0.0947032 | − | 0.944942i | −0.00387270 | − | 0.0386415i | ||||
\(599\) | 41.5962 | 1.69958 | 0.849788 | − | 0.527124i | \(-0.176730\pi\) | ||||
0.849788 | + | 0.527124i | \(0.176730\pi\) | |||||||
\(600\) | −1.13372 | − | 1.96366i | −0.0462839 | − | 0.0801660i | ||||
\(601\) | 11.1977 | + | 19.3951i | 0.456766 | + | 0.791141i | 0.998788 | − | 0.0492228i | \(-0.0156745\pi\) |
−0.542022 | + | 0.840364i | \(0.682341\pi\) | |||||||
\(602\) | −1.74728 | + | 3.02638i | −0.0712140 | + | 0.123346i | ||||
\(603\) | −41.6417 | −1.69578 | ||||||||
\(604\) | −5.67567 | + | 9.83056i | −0.230940 | + | 0.400000i | ||||
\(605\) | −4.84622 | + | 8.39391i | −0.197027 | + | 0.341261i | ||||
\(606\) | 5.25541 | 0.213486 | ||||||||
\(607\) | −3.06750 | + | 5.31307i | −0.124506 | + | 0.215651i | −0.921540 | − | 0.388284i | \(-0.873068\pi\) |
0.797034 | + | 0.603935i | \(0.206401\pi\) | |||||||
\(608\) | −3.88633 | − | 6.73132i | −0.157612 | − | 0.272991i | ||||
\(609\) | −22.2567 | − | 38.5497i | −0.901886 | − | 1.56211i | ||||
\(610\) | 2.61394 | 0.105835 | ||||||||
\(611\) | −18.5762 | + | 13.3598i | −0.751514 | + | 0.540478i | ||||
\(612\) | 15.8671 | 0.641390 | ||||||||
\(613\) | −10.7584 | − | 18.6342i | −0.434529 | − | 0.752626i | 0.562728 | − | 0.826642i | \(-0.309752\pi\) |
−0.997257 | + | 0.0740158i | \(0.976418\pi\) | |||||||
\(614\) | 0.335131 | + | 0.580464i | 0.0135248 | + | 0.0234256i | ||||
\(615\) | 30.2333 | − | 52.3656i | 1.21912 | − | 2.11159i | ||||
\(616\) | −4.30134 | −0.173306 | ||||||||
\(617\) | 5.73268 | − | 9.92930i | 0.230789 | − | 0.399738i | −0.727251 | − | 0.686371i | \(-0.759203\pi\) |
0.958041 | + | 0.286633i | \(0.0925359\pi\) | |||||||
\(618\) | 0.151789 | − | 0.262906i | 0.00610584 | − | 0.0105756i | ||||
\(619\) | −6.82094 | −0.274157 | −0.137078 | − | 0.990560i | \(-0.543771\pi\) | ||||
−0.137078 | + | 0.990560i | \(0.543771\pi\) | |||||||
\(620\) | −1.83844 | + | 3.18428i | −0.0738336 | + | 0.127884i | ||||
\(621\) | 14.1186 | + | 24.4542i | 0.566561 | + | 0.981313i | ||||
\(622\) | −1.70302 | − | 2.94971i | −0.0682848 | − | 0.118273i | ||||
\(623\) | 51.3808 | 2.05853 | ||||||||
\(624\) | 4.43766 | + | 44.2787i | 0.177649 | + | 1.77256i | ||||
\(625\) | −14.6426 | −0.585706 | ||||||||
\(626\) | −0.373478 | − | 0.646884i | −0.0149272 | − | 0.0258547i | ||||
\(627\) | −21.5210 | − | 37.2755i | −0.859467 | − | 1.48864i | ||||
\(628\) | −3.77750 | + | 6.54283i | −0.150739 | + | 0.261087i | ||||
\(629\) | 4.69659 | 0.187265 | ||||||||
\(630\) | 2.87238 | − | 4.97512i | 0.114439 | − | 0.198213i | ||||
\(631\) | 8.43867 | − | 14.6162i | 0.335938 | − | 0.581862i | −0.647727 | − | 0.761873i | \(-0.724280\pi\) |
0.983665 | + | 0.180011i | \(0.0576134\pi\) | |||||||
\(632\) | 6.89068 | 0.274096 | ||||||||
\(633\) | 9.22295 | − | 15.9746i | 0.366579 | − | 0.634934i | ||||
\(634\) | 0.326762 | + | 0.565969i | 0.0129774 | + | 0.0224775i | ||||
\(635\) | 9.17432 | + | 15.8904i | 0.364072 | + | 0.630591i | ||||
\(636\) | 86.1645 | 3.41665 | ||||||||
\(637\) | −27.4477 | − | 12.3798i | −1.08752 | − | 0.490505i | ||||
\(638\) | 0.993925 | 0.0393499 | ||||||||
\(639\) | 5.57236 | + | 9.65162i | 0.220439 | + | 0.381812i | ||||
\(640\) | −3.34086 | − | 5.78655i | −0.132059 | − | 0.228733i | ||||
\(641\) | 8.91571 | − | 15.4425i | 0.352149 | − | 0.609940i | −0.634477 | − | 0.772942i | \(-0.718784\pi\) |
0.986626 | + | 0.163002i | \(0.0521176\pi\) | |||||||
\(642\) | 0.826433 | 0.0326167 | ||||||||
\(643\) | 20.8165 | − | 36.0552i | 0.820923 | − | 1.42188i | −0.0840732 | − | 0.996460i | \(-0.526793\pi\) |
0.904996 | − | 0.425420i | \(-0.139874\pi\) | |||||||
\(644\) | −8.93740 | + | 15.4800i | −0.352183 | + | 0.609999i | ||||
\(645\) | −45.2914 | −1.78335 | ||||||||
\(646\) | 0.377767 | − | 0.654311i | 0.0148630 | − | 0.0257435i | ||||
\(647\) | −4.46836 | − | 7.73942i | −0.175669 | − | 0.304268i | 0.764723 | − | 0.644359i | \(-0.222876\pi\) |
−0.940393 | + | 0.340091i | \(0.889542\pi\) | |||||||
\(648\) | 4.11265 | + | 7.12333i | 0.161560 | + | 0.279831i | ||||
\(649\) | 10.8096 | 0.424313 | ||||||||
\(650\) | 0.593877 | + | 0.267857i | 0.0232938 | + | 0.0105062i | ||||
\(651\) | 12.3322 | 0.483338 | ||||||||
\(652\) | −7.78836 | − | 13.4898i | −0.305016 | − | 0.528303i | ||||
\(653\) | 13.5854 | + | 23.5305i | 0.531636 | + | 0.920821i | 0.999318 | + | 0.0369238i | \(0.0117559\pi\) |
−0.467682 | + | 0.883897i | \(0.654911\pi\) | |||||||
\(654\) | −1.25758 | + | 2.17819i | −0.0491752 | + | 0.0851739i | ||||
\(655\) | −18.9945 | −0.742177 | ||||||||
\(656\) | −20.3526 | + | 35.2517i | −0.794634 | + | 1.37635i | ||||
\(657\) | 0.770258 | − | 1.33413i | 0.0300506 | − | 0.0520492i | ||||
\(658\) | −2.85218 | −0.111190 | ||||||||
\(659\) | −18.8874 | + | 32.7140i | −0.735750 | + | 1.27436i | 0.218643 | + | 0.975805i | \(0.429837\pi\) |
−0.954393 | + | 0.298552i | \(0.903496\pi\) | |||||||
\(660\) | −13.8909 | − | 24.0597i | −0.540702 | − | 0.936524i | ||||
\(661\) | −15.0451 | − | 26.0589i | −0.585188 | − | 1.01358i | −0.994852 | − | 0.101339i | \(-0.967687\pi\) |
0.409664 | − | 0.912237i | \(-0.365646\pi\) | |||||||
\(662\) | −2.16348 | −0.0840862 | ||||||||
\(663\) | −10.6528 | + | 7.66131i | −0.413719 | + | 0.297541i | ||||
\(664\) | −6.20065 | −0.240632 | ||||||||
\(665\) | 20.6524 | + | 35.7709i | 0.800864 | + | 1.38714i | ||||
\(666\) | 1.60914 | + | 2.78711i | 0.0623529 | + | 0.107998i | ||||
\(667\) | 4.14407 | − | 7.17773i | 0.160459 | − | 0.277923i | ||||
\(668\) | −49.2914 | −1.90714 | ||||||||
\(669\) | −12.5897 | + | 21.8060i | −0.486745 | + | 0.843067i | ||||
\(670\) | −0.639914 | + | 1.10836i | −0.0247220 | + | 0.0428198i | ||||
\(671\) | −29.5591 | −1.14112 | ||||||||
\(672\) | −8.41334 | + | 14.5723i | −0.324552 | + | 0.562140i | ||||
\(673\) | 17.0472 | + | 29.5266i | 0.657120 | + | 1.13816i | 0.981358 | + | 0.192189i | \(0.0615588\pi\) |
−0.324238 | + | 0.945976i | \(0.605108\pi\) | |||||||
\(674\) | 0.101214 | + | 0.175307i | 0.00389861 | + | 0.00675259i | ||||
\(675\) | −19.3711 | −0.745594 | ||||||||
\(676\) | −17.0966 | − | 19.3608i | −0.657563 | − | 0.744645i | ||||
\(677\) | −17.6249 | −0.677379 | −0.338689 | − | 0.940898i | \(-0.609984\pi\) | ||||
−0.338689 | + | 0.940898i | \(0.609984\pi\) | |||||||
\(678\) | −0.243879 | − | 0.422411i | −0.00936613 | − | 0.0162226i | ||||
\(679\) | −16.6960 | − | 28.9183i | −0.640734 | − | 1.10978i | ||||
\(680\) | 0.489279 | − | 0.847456i | 0.0187630 | − | 0.0324985i | ||||
\(681\) | −18.7683 | −0.719203 | ||||||||
\(682\) | −0.137681 | + | 0.238471i | −0.00527209 | + | 0.00913152i | ||||
\(683\) | 5.42578 | − | 9.39773i | 0.207612 | − | 0.359594i | −0.743350 | − | 0.668903i | \(-0.766764\pi\) |
0.950962 | + | 0.309309i | \(0.100098\pi\) | |||||||
\(684\) | −78.1746 | −2.98908 | ||||||||
\(685\) | 4.57984 | − | 7.93252i | 0.174987 | − | 0.303086i | ||||
\(686\) | −0.303621 | − | 0.525887i | −0.0115923 | − | 0.0200785i | ||||
\(687\) | −16.3625 | − | 28.3406i | −0.624267 | − | 1.08126i | ||||
\(688\) | 30.4894 | 1.16240 | ||||||||
\(689\) | −40.3311 | + | 29.0056i | −1.53649 | + | 1.10502i | ||||
\(690\) | 1.53423 | 0.0584073 | ||||||||
\(691\) | 5.53332 | + | 9.58400i | 0.210498 | + | 0.364592i | 0.951870 | − | 0.306501i | \(-0.0991583\pi\) |
−0.741373 | + | 0.671093i | \(0.765825\pi\) | |||||||
\(692\) | −23.3521 | − | 40.4471i | −0.887715 | − | 1.53757i | ||||
\(693\) | −32.4817 | + | 56.2599i | −1.23388 | + | 2.13714i | ||||
\(694\) | −2.12743 | −0.0807561 | ||||||||
\(695\) | 5.56869 | − | 9.64526i | 0.211233 | − | 0.365866i | ||||
\(696\) | 2.59786 | − | 4.49962i | 0.0984715 | − | 0.170558i | ||||
\(697\) | −12.0025 | −0.454628 | ||||||||
\(698\) | −0.918051 | + | 1.59011i | −0.0347487 | + | 0.0601866i | ||||
\(699\) | 4.01534 | + | 6.95476i | 0.151874 | + | 0.263053i | ||||
\(700\) | −6.13116 | − | 10.6195i | −0.231736 | − | 0.401378i | ||||
\(701\) | −2.98268 | −0.112654 | −0.0563270 | − | 0.998412i | \(-0.517939\pi\) | ||||
−0.0563270 | + | 0.998412i | \(0.517939\pi\) | |||||||
\(702\) | −4.63631 | − | 2.09112i | −0.174986 | − | 0.0789242i | ||||
\(703\) | −23.1393 | −0.872717 | ||||||||
\(704\) | 9.22520 | + | 15.9785i | 0.347688 | + | 0.602213i | ||||
\(705\) | −18.4829 | − | 32.0133i | −0.696105 | − | 1.20569i | ||||
\(706\) | 0.761139 | − | 1.31833i | 0.0286458 | − | 0.0496160i | ||||
\(707\) | 57.0308 | 2.14486 | ||||||||
\(708\) | 14.0800 | − | 24.3874i | 0.529161 | − | 0.916533i | ||||
\(709\) | −11.7861 | + | 20.4141i | −0.442636 | + | 0.766668i | −0.997884 | − | 0.0650166i | \(-0.979290\pi\) |
0.555248 | + | 0.831685i | \(0.312623\pi\) | |||||||
\(710\) | 0.342525 | 0.0128547 | ||||||||
\(711\) | 52.0351 | − | 90.1275i | 1.95147 | − | 3.38004i | ||||
\(712\) | 2.99865 | + | 5.19381i | 0.112379 | + | 0.194646i | ||||
\(713\) | 1.14809 | + | 1.98856i | 0.0429965 | + | 0.0744721i | ||||
\(714\) | −1.63562 | −0.0612115 | ||||||||
\(715\) | 14.6012 | + | 6.58557i | 0.546052 | + | 0.246287i | ||||
\(716\) | −19.3337 | −0.722533 | ||||||||
\(717\) | 30.3988 | + | 52.6523i | 1.13527 | + | 1.96634i | ||||
\(718\) | 1.54320 | + | 2.67290i | 0.0575916 | + | 0.0997516i | ||||
\(719\) | 2.55693 | − | 4.42874i | 0.0953575 | − | 0.165164i | −0.814400 | − | 0.580304i | \(-0.802934\pi\) |
0.909758 | + | 0.415139i | \(0.136267\pi\) | |||||||
\(720\) | −50.1220 | −1.86794 | ||||||||
\(721\) | 1.64719 | − | 2.85301i | 0.0613444 | − | 0.106252i | ||||
\(722\) | −0.771462 | + | 1.33621i | −0.0287108 | + | 0.0497286i | ||||
\(723\) | −20.9967 | −0.780876 | ||||||||
\(724\) | 9.17145 | − | 15.8854i | 0.340854 | − | 0.590377i | ||||
\(725\) | 2.84288 | + | 4.92401i | 0.105582 | + | 0.182873i | ||||
\(726\) | 0.945483 | + | 1.63762i | 0.0350902 | + | 0.0607779i | ||||
\(727\) | 30.0968 | 1.11623 | 0.558114 | − | 0.829764i | \(-0.311525\pi\) | ||||
0.558114 | + | 0.829764i | \(0.311525\pi\) | |||||||
\(728\) | −0.644253 | − | 6.42831i | −0.0238776 | − | 0.238249i | ||||
\(729\) | 8.10716 | 0.300265 | ||||||||
\(730\) | −0.0236733 | − | 0.0410034i | −0.000876189 | − | 0.00151760i | ||||
\(731\) | 4.49513 | + | 7.78579i | 0.166258 | + | 0.287968i | ||||
\(732\) | −38.5023 | + | 66.6880i | −1.42309 | + | 2.46486i | ||||
\(733\) | −49.0741 | −1.81259 | −0.906297 | − | 0.422641i | \(-0.861103\pi\) | ||||
−0.906297 | + | 0.422641i | \(0.861103\pi\) | |||||||
\(734\) | 0.420544 | − | 0.728403i | 0.0155226 | − | 0.0268858i | ||||
\(735\) | 24.3222 | − | 42.1273i | 0.897138 | − | 1.55389i | ||||
\(736\) | −3.13303 | −0.115485 | ||||||||
\(737\) | 7.23631 | − | 12.5337i | 0.266553 | − | 0.461683i | ||||
\(738\) | −4.11229 | − | 7.12269i | −0.151375 | − | 0.262190i | ||||
\(739\) | 9.85671 | + | 17.0723i | 0.362585 | + | 0.628016i | 0.988385 | − | 0.151968i | \(-0.0485609\pi\) |
−0.625801 | + | 0.779983i | \(0.715228\pi\) | |||||||
\(740\) | −14.9355 | −0.549038 | ||||||||
\(741\) | 52.4844 | − | 37.7460i | 1.92806 | − | 1.38663i | ||||
\(742\) | −6.19242 | −0.227331 | ||||||||
\(743\) | 10.6904 | + | 18.5163i | 0.392192 | + | 0.679297i | 0.992738 | − | 0.120293i | \(-0.0383835\pi\) |
−0.600546 | + | 0.799590i | \(0.705050\pi\) | |||||||
\(744\) | 0.719724 | + | 1.24660i | 0.0263864 | + | 0.0457025i | ||||
\(745\) | 2.10594 | − | 3.64760i | 0.0771558 | − | 0.133638i | ||||
\(746\) | −2.30931 | −0.0845498 | ||||||||
\(747\) | −46.8244 | + | 81.1023i | −1.71322 | + | 2.96738i | ||||
\(748\) | −2.75732 | + | 4.77582i | −0.100818 | + | 0.174621i | ||||
\(749\) | 8.96831 | 0.327695 | ||||||||
\(750\) | −2.19666 | + | 3.80473i | −0.0802108 | + | 0.138929i | ||||
\(751\) | −23.7065 | − | 41.0609i | −0.865062 | − | 1.49833i | −0.866985 | − | 0.498334i | \(-0.833945\pi\) |
0.00192288 | − | 0.999998i | \(-0.499388\pi\) | |||||||
\(752\) | 12.4424 | + | 21.5508i | 0.453727 | + | 0.785878i | ||||
\(753\) | 12.5469 | 0.457235 | ||||||||
\(754\) | 0.148870 | + | 1.48541i | 0.00542151 | + | 0.0540955i | ||||
\(755\) | 10.5731 | 0.384793 | ||||||||
\(756\) | 47.8650 | + | 82.9047i | 1.74084 | + | 3.01521i | ||||
\(757\) | −17.8700 | − | 30.9518i | −0.649498 | − | 1.12496i | −0.983243 | − | 0.182300i | \(-0.941646\pi\) |
0.333745 | − | 0.942663i | \(-0.391687\pi\) | |||||||
\(758\) | −1.93668 | + | 3.35443i | −0.0703434 | + | 0.121838i | ||||
\(759\) | −17.3495 | −0.629748 | ||||||||
\(760\) | −2.41060 | + | 4.17528i | −0.0874415 | + | 0.151453i | ||||
\(761\) | −0.937844 | + | 1.62439i | −0.0339968 | + | 0.0588842i | −0.882523 | − | 0.470269i | \(-0.844157\pi\) |
0.848526 | + | 0.529153i | \(0.177490\pi\) | |||||||
\(762\) | 3.57976 | 0.129681 | ||||||||
\(763\) | −13.6470 | + | 23.6373i | −0.494055 | + | 0.855728i | ||||
\(764\) | 16.4552 | + | 28.5013i | 0.595330 | + | 1.03114i | ||||
\(765\) | −7.38961 | − | 12.7992i | −0.267172 | − | 0.462755i | ||||
\(766\) | 1.97658 | 0.0714166 | ||||||||
\(767\) | 1.61905 | + | 16.1548i | 0.0584606 | + | 0.583315i | ||||
\(768\) | 47.0800 | 1.69885 | ||||||||
\(769\) | −18.4297 | − | 31.9212i | −0.664593 | − | 1.15111i | −0.979396 | − | 0.201951i | \(-0.935272\pi\) |
0.314803 | − | 0.949157i | \(-0.398062\pi\) | |||||||
\(770\) | 0.998301 | + | 1.72911i | 0.0359763 | + | 0.0623128i | ||||
\(771\) | −13.6471 | + | 23.6375i | −0.491489 | + | 0.851284i | ||||
\(772\) | 31.9265 | 1.14906 | ||||||||
\(773\) | 17.0172 | − | 29.4746i | 0.612065 | − | 1.06013i | −0.378826 | − | 0.925468i | \(-0.623672\pi\) |
0.990892 | − | 0.134661i | \(-0.0429944\pi\) | |||||||
\(774\) | −3.08023 | + | 5.33512i | −0.110717 | + | 0.191767i | ||||
\(775\) | −1.57521 | −0.0565833 | ||||||||
\(776\) | 1.94880 | − | 3.37542i | 0.0699579 | − | 0.121171i | ||||
\(777\) | 25.0466 | + | 43.3821i | 0.898543 | + | 1.55632i | ||||
\(778\) | −1.22329 | − | 2.11879i | −0.0438569 | − | 0.0759625i | ||||
\(779\) | 59.1344 | 2.11871 | ||||||||
\(780\) | 33.8764 | − | 24.3634i | 1.21297 | − | 0.872351i | ||||
\(781\) | −3.87337 | −0.138600 | ||||||||
\(782\) | −0.152271 | − | 0.263742i | −0.00544521 | − | 0.00943139i | ||||
\(783\) | −22.1939 | − | 38.4410i | −0.793146 | − | 1.37377i | ||||
\(784\) | −16.3733 | + | 28.3594i | −0.584761 | + | 1.01284i | ||||
\(785\) | 7.03702 | 0.251162 | ||||||||
\(786\) | −1.85288 | + | 3.20929i | −0.0660902 | + | 0.114472i | ||||
\(787\) | −18.2480 | + | 31.6064i | −0.650470 | + | 1.12665i | 0.332539 | + | 0.943090i | \(0.392095\pi\) |
−0.983009 | + | 0.183558i | \(0.941239\pi\) | |||||||
\(788\) | 27.8535 | 0.992241 | ||||||||
\(789\) | 27.8770 | − | 48.2844i | 0.992447 | − | 1.71897i | ||||
\(790\) | −1.59926 | − | 2.77000i | −0.0568992 | − | 0.0985523i | ||||
\(791\) | −2.64654 | − | 4.58394i | −0.0941000 | − | 0.162986i | ||||
\(792\) | −7.58269 | −0.269439 | ||||||||
\(793\) | −4.42735 | − | 44.1758i | −0.157220 | − | 1.56873i | ||||
\(794\) | −1.37009 | −0.0486228 | ||||||||
\(795\) | −40.1284 | − | 69.5045i | −1.42321 | − | 2.46507i | ||||
\(796\) | −24.5021 | − | 42.4388i | −0.868453 | − | 1.50420i | ||||
\(797\) | 10.5090 | − | 18.2021i | 0.372247 | − | 0.644751i | −0.617663 | − | 0.786443i | \(-0.711921\pi\) |
0.989911 | + | 0.141691i | \(0.0452539\pi\) | |||||||
\(798\) | 8.05842 | 0.285265 | ||||||||
\(799\) | −3.66882 | + | 6.35458i | −0.129793 | + | 0.224809i | ||||
\(800\) | 1.07465 | − | 1.86134i | 0.0379945 | − | 0.0658085i | ||||
\(801\) | 90.5775 | 3.20040 | ||||||||
\(802\) | −0.687585 | + | 1.19093i | −0.0242795 | + | 0.0420533i | ||||
\(803\) | 0.267704 | + | 0.463677i | 0.00944708 | + | 0.0163628i | ||||
\(804\) | −18.8514 | − | 32.6515i | −0.664837 | − | 1.15153i | ||||
\(805\) | 16.6492 | 0.586809 | ||||||||
\(806\) | −0.377014 | − | 0.170045i | −0.0132797 | − | 0.00598958i | ||||
\(807\) | 84.9264 | 2.98955 | ||||||||
\(808\) | 3.32839 | + | 5.76494i | 0.117092 | + | 0.202810i | ||||
\(809\) | 22.7598 | + | 39.4211i | 0.800191 | + | 1.38597i | 0.919490 | + | 0.393113i | \(0.128602\pi\) |
−0.119299 | + | 0.992858i | \(0.538065\pi\) | |||||||
\(810\) | 1.90902 | − | 3.30652i | 0.0670761 | − | 0.116179i | ||||
\(811\) | 20.4564 | 0.718323 | 0.359161 | − | 0.933276i | \(-0.383063\pi\) | ||||
0.359161 | + | 0.933276i | \(0.383063\pi\) | |||||||
\(812\) | 14.0492 | − | 24.3340i | 0.493031 | − | 0.853955i | ||||
\(813\) | 11.9757 | − | 20.7425i | 0.420006 | − | 0.727471i | ||||
\(814\) | −1.11852 | −0.0392040 | ||||||||
\(815\) | −7.25437 | + | 12.5649i | −0.254109 | + | 0.440130i | ||||
\(816\) | 7.13522 | + | 12.3586i | 0.249783 | + | 0.432637i | ||||
\(817\) | −22.1468 | − | 38.3593i | −0.774817 | − | 1.34202i | ||||
\(818\) | 3.32203 | 0.116152 | ||||||||
\(819\) | −88.9449 | − | 40.1169i | −3.10799 | − | 1.40180i | ||||
\(820\) | 38.1687 | 1.33291 | ||||||||
\(821\) | 1.14579 | + | 1.98457i | 0.0399883 | + | 0.0692618i | 0.885327 | − | 0.464969i | \(-0.153935\pi\) |
−0.845339 | + | 0.534231i | \(0.820601\pi\) | |||||||
\(822\) | −0.893513 | − | 1.54761i | −0.0311648 | − | 0.0539791i | ||||
\(823\) | 15.7540 | − | 27.2868i | 0.549151 | − | 0.951157i | −0.449182 | − | 0.893440i | \(-0.648285\pi\) |
0.998333 | − | 0.0577168i | \(-0.0183820\pi\) | |||||||
\(824\) | 0.384527 | 0.0133956 | ||||||||
\(825\) | 5.95099 | − | 10.3074i | 0.207187 | − | 0.358858i | ||||
\(826\) | −1.01190 | + | 1.75265i | −0.0352083 | + | 0.0609826i | ||||
\(827\) | 8.82270 | 0.306795 | 0.153398 | − | 0.988165i | \(-0.450978\pi\) | ||||
0.153398 | + | 0.988165i | \(0.450978\pi\) | |||||||
\(828\) | −15.7554 | + | 27.2892i | −0.547540 | + | 0.948366i | ||||
\(829\) | 5.03706 | + | 8.72445i | 0.174944 | + | 0.303013i | 0.940142 | − | 0.340783i | \(-0.110692\pi\) |
−0.765198 | + | 0.643795i | \(0.777359\pi\) | |||||||
\(830\) | 1.43911 | + | 2.49262i | 0.0499524 | + | 0.0865201i | ||||
\(831\) | −29.4030 | −1.01998 | ||||||||
\(832\) | −22.4980 | + | 16.1802i | −0.779976 | + | 0.560948i | ||||
\(833\) | −9.65583 | −0.334555 | ||||||||
\(834\) | −1.08643 | − | 1.88176i | −0.0376202 | − | 0.0651600i | ||||
\(835\) | 22.9559 | + | 39.7608i | 0.794422 | + | 1.37598i | ||||
\(836\) | 13.5849 | − | 23.5297i | 0.469842 | − | 0.813790i | ||||
\(837\) | 12.2975 | 0.425062 | ||||||||
\(838\) | −0.949523 | + | 1.64462i | −0.0328007 | + | 0.0568125i | ||||
\(839\) | −25.1230 | + | 43.5143i | −0.867343 | + | 1.50228i | −0.00264077 | + | 0.999997i | \(0.500841\pi\) |
−0.864702 | + | 0.502285i | \(0.832493\pi\) | |||||||
\(840\) | 10.4372 | 0.360117 | ||||||||
\(841\) | 7.98569 | − | 13.8316i | 0.275369 | − | 0.476953i | ||||
\(842\) | 1.21049 | + | 2.09662i | 0.0417161 | + | 0.0722544i | ||||
\(843\) | 18.4565 | + | 31.9675i | 0.635674 | + | 1.10102i | ||||
\(844\) | 11.6437 | 0.400794 | ||||||||
\(845\) | −7.65511 | + | 22.8076i | −0.263344 | + | 0.784607i | ||||
\(846\) | −5.02802 | −0.172867 | ||||||||
\(847\) | 10.2602 | + | 17.7712i | 0.352545 | + | 0.610626i | ||||
\(848\) | 27.0138 | + | 46.7893i | 0.927658 | + | 1.60675i | ||||
\(849\) | 20.7948 | − | 36.0177i | 0.713677 | − | 1.23613i | ||||
\(850\) | 0.208920 | 0.00716589 | ||||||||
\(851\) | −4.66354 | + | 8.07749i | −0.159864 | + | 0.276893i | ||||
\(852\) | −5.04527 | + | 8.73866i | −0.172848 | + | 0.299382i | ||||
\(853\) | −15.7437 | −0.539053 | −0.269527 | − | 0.962993i | \(-0.586867\pi\) | ||||
−0.269527 | + | 0.962993i | \(0.586867\pi\) | |||||||
\(854\) | 2.76706 | − | 4.79269i | 0.0946869 | − | 0.164002i | ||||
\(855\) | 36.4074 | + | 63.0594i | 1.24511 | + | 2.15659i | ||||
\(856\) | 0.523402 | + | 0.906559i | 0.0178895 | + | 0.0309856i | ||||
\(857\) | −21.2526 | −0.725976 | −0.362988 | − | 0.931794i | \(-0.618243\pi\) | ||||
−0.362988 | + | 0.931794i | \(0.618243\pi\) | |||||||
\(858\) | 2.53701 | − | 1.82458i | 0.0866121 | − | 0.0622902i | ||||
\(859\) | 51.1177 | 1.74411 | 0.872056 | − | 0.489405i | \(-0.162786\pi\) | ||||
0.872056 | + | 0.489405i | \(0.162786\pi\) | |||||||
\(860\) | −14.2948 | − | 24.7593i | −0.487448 | − | 0.844285i | ||||
\(861\) | −64.0087 | − | 110.866i | −2.18141 | − | 3.77831i | ||||
\(862\) | −0.592620 | + | 1.02645i | −0.0201847 | + | 0.0349609i | ||||
\(863\) | −44.7423 | −1.52305 | −0.761523 | − | 0.648137i | \(-0.775548\pi\) | ||||
−0.761523 | + | 0.648137i | \(0.775548\pi\) | |||||||
\(864\) | −8.38962 | + | 14.5312i | −0.285421 | + | 0.494363i | ||||
\(865\) | −21.7511 | + | 37.6739i | −0.739558 | + | 1.28095i | ||||
\(866\) | 0.158695 | 0.00539268 | ||||||||
\(867\) | 24.6502 | − | 42.6953i | 0.837163 | − | 1.45001i | ||||
\(868\) | 3.89227 | + | 6.74162i | 0.132112 | + | 0.228825i | ||||
\(869\) | 18.0849 | + | 31.3239i | 0.613488 | + | 1.06259i | ||||
\(870\) | −2.41175 | −0.0817661 | ||||||||
\(871\) | 19.8153 | + | 8.93730i | 0.671415 | + | 0.302829i | ||||
\(872\) | −3.18583 | −0.107886 | ||||||||
\(873\) | −29.4328 | − | 50.9792i | −0.996151 | − | 1.72538i | ||||
\(874\) | 0.750216 | + | 1.29941i | 0.0253764 | + | 0.0439533i | ||||
\(875\) | −23.8378 | + | 41.2883i | −0.805866 | + | 1.39580i | ||||
\(876\) | 1.39480 | 0.0471258 | ||||||||
\(877\) | 3.97007 | − | 6.87636i | 0.134060 | − | 0.232198i | −0.791178 | − | 0.611586i | \(-0.790532\pi\) |
0.925238 | + | 0.379388i | \(0.123865\pi\) | |||||||
\(878\) | −2.16534 | + | 3.75049i | −0.0730768 | + | 0.126573i | ||||
\(879\) | 76.2923 | 2.57328 | ||||||||
\(880\) | 8.70999 | − | 15.0861i | 0.293614 | − | 0.508554i | ||||
\(881\) | 25.3221 | + | 43.8591i | 0.853122 | + | 1.47765i | 0.878377 | + | 0.477969i | \(0.158627\pi\) |
−0.0252550 | + | 0.999681i | \(0.508040\pi\) | |||||||
\(882\) | −3.30827 | − | 5.73009i | −0.111395 | − | 0.192942i | ||||
\(883\) | −19.1598 | −0.644778 | −0.322389 | − | 0.946607i | \(-0.604486\pi\) | ||||
−0.322389 | + | 0.946607i | \(0.604486\pi\) | |||||||
\(884\) | −7.55039 | − | 3.40546i | −0.253947 | − | 0.114538i | ||||
\(885\) | −26.2294 | −0.881690 | ||||||||
\(886\) | 0.0754959 | + | 0.130763i | 0.00253634 | + | 0.00439306i | ||||
\(887\) | −22.9839 | − | 39.8094i | −0.771725 | − | 1.33667i | −0.936617 | − | 0.350356i | \(-0.886061\pi\) |
0.164891 | − | 0.986312i | \(-0.447273\pi\) | |||||||
\(888\) | −2.92351 | + | 5.06367i | −0.0981065 | + | 0.169925i | ||||
\(889\) | 38.8470 | 1.30289 | ||||||||
\(890\) | 1.39192 | − | 2.41087i | 0.0466572 | − | 0.0808126i | ||||
\(891\) | −21.5877 | + | 37.3910i | −0.723215 | + | 1.25264i | ||||
\(892\) | −15.8941 | −0.532175 | ||||||||
\(893\) | 18.0757 | − | 31.3080i | 0.604879 | − | 1.04768i | ||||
\(894\) | −0.410863 | − | 0.711635i | −0.0137413 | − | 0.0238006i | ||||
\(895\) | 9.00404 | + | 15.5955i | 0.300972 | + | 0.521299i | ||||
\(896\) | −14.1463 | −0.472594 | ||||||||
\(897\) | −2.59860 | − | 25.9287i | −0.0867648 | − | 0.865733i | ||||
\(898\) | −1.33972 | −0.0447069 | ||||||||
\(899\) | −1.80476 | − | 3.12593i | −0.0601921 | − | 0.104256i | ||||
\(900\) | −10.8084 | − | 18.7207i | −0.360281 | − | 0.624024i | ||||
\(901\) | −7.96542 | + | 13.7965i | −0.265367 | + | 0.459629i | ||||
\(902\) | 2.85846 | 0.0951764 | ||||||||
\(903\) | −47.9445 | + | 83.0423i | −1.59549 | + | 2.76347i | ||||
\(904\) | 0.308911 | − | 0.535049i | 0.0102742 | − | 0.0177955i | ||||
\(905\) | −17.0853 | −0.567933 | ||||||||
\(906\) | 1.03139 | − | 1.78641i | 0.0342655 | − | 0.0593496i | ||||
\(907\) | 1.77848 | + | 3.08042i | 0.0590535 | + | 0.102284i | 0.894041 | − | 0.447986i | \(-0.147858\pi\) |
−0.834987 | + | 0.550269i | \(0.814525\pi\) | |||||||
\(908\) | −5.92362 | − | 10.2600i | −0.196582 | − | 0.340490i | ||||
\(909\) | 100.538 | 3.33462 | ||||||||
\(910\) | −2.43461 | + | 1.75094i | −0.0807065 | + | 0.0580429i | ||||
\(911\) | −42.6488 | −1.41302 | −0.706510 | − | 0.707704i | \(-0.749731\pi\) | ||||
−0.706510 | + | 0.707704i | \(0.749731\pi\) | |||||||
\(912\) | −35.1541 | − | 60.8887i | −1.16407 | − | 2.01622i | ||||
\(913\) | −16.2739 | − | 28.1872i | −0.538587 | − | 0.932860i | ||||
\(914\) | 1.31561 | − | 2.27871i | 0.0435166 | − | 0.0753729i | ||||
\(915\) | 71.7250 | 2.37116 | ||||||||
\(916\) | 10.3286 | − | 17.8896i | 0.341266 | − | 0.591090i | ||||
\(917\) | −20.1072 | + | 34.8267i | −0.663998 | + | 1.15008i | ||||
\(918\) | −1.63101 | −0.0538312 | ||||||||
\(919\) | −1.25079 | + | 2.16643i | −0.0412598 | + | 0.0714640i | −0.885918 | − | 0.463842i | \(-0.846470\pi\) |
0.844658 | + | 0.535306i | \(0.179804\pi\) | |||||||
\(920\) | 0.971672 | + | 1.68298i | 0.0320351 | + | 0.0554864i | ||||
\(921\) | 9.19580 | + | 15.9276i | 0.303012 | + | 0.524832i | ||||
\(922\) | −0.505757 | −0.0166562 | ||||||||
\(923\) | −0.580151 | − | 5.78870i | −0.0190959 | − | 0.190537i | ||||
\(924\) | −58.8184 | −1.93498 | ||||||||
\(925\) | −3.19924 | − | 5.54125i | −0.105190 | − | 0.182195i | ||||
\(926\) | 0.129238 | + | 0.223847i | 0.00424704 | + | 0.00735608i | ||||
\(927\) | 2.90377 | − | 5.02948i | 0.0953723 | − | 0.165190i | ||||
\(928\) | 4.92500 | 0.161671 | ||||||||
\(929\) | 2.89717 | − | 5.01804i | 0.0950529 | − | 0.164637i | −0.814578 | − | 0.580054i | \(-0.803031\pi\) |
0.909631 | + | 0.415418i | \(0.136365\pi\) | |||||||
\(930\) | 0.334083 | − | 0.578648i | 0.0109550 | − | 0.0189746i | ||||
\(931\) | 47.5727 | 1.55913 | ||||||||
\(932\) | −2.53463 | + | 4.39010i | −0.0830244 | + | 0.143803i | ||||
\(933\) | −46.7298 | − | 80.9384i | −1.52987 | − | 2.64981i | ||||
\(934\) | 0.0685054 | + | 0.118655i | 0.00224156 | + | 0.00388250i | ||||
\(935\) | 5.13654 | 0.167983 | ||||||||
\(936\) | −1.13573 | − | 11.3323i | −0.0371226 | − | 0.370406i | ||||
\(937\) | −15.9651 | −0.521556 | −0.260778 | − | 0.965399i | \(-0.583979\pi\) | ||||
−0.260778 | + | 0.965399i | \(0.583979\pi\) | |||||||
\(938\) | 1.35480 | + | 2.34658i | 0.0442357 | + | 0.0766185i | ||||
\(939\) | −10.2480 | − | 17.7501i | −0.334432 | − | 0.579253i | ||||
\(940\) | 11.6671 | − | 20.2079i | 0.380538 | − | 0.659111i | ||||
\(941\) | −42.3208 | −1.37962 | −0.689809 | − | 0.723991i | \(-0.742306\pi\) | ||||
−0.689809 | + | 0.723991i | \(0.742306\pi\) | |||||||
\(942\) | 0.686450 | − | 1.18897i | 0.0223657 | − | 0.0387386i | ||||
\(943\) | 11.9181 | − | 20.6427i | 0.388105 | − | 0.672218i | ||||
\(944\) | 17.6572 | 0.574692 | ||||||||
\(945\) | 44.5833 | − | 77.2205i | 1.45029 | − | 2.51198i | ||||
\(946\) | −1.07054 | − | 1.85423i | −0.0348062 | − | 0.0602861i | ||||
\(947\) | −25.1243 | − | 43.5166i | −0.816431 | − | 1.41410i | −0.908296 | − | 0.418329i | \(-0.862616\pi\) |
0.0918647 | − | 0.995771i | \(-0.470717\pi\) | |||||||
\(948\) | 94.2261 | 3.06032 | ||||||||
\(949\) | −0.652864 | + | 0.469530i | −0.0211929 | + | 0.0152416i | ||||
\(950\) | −1.02931 | −0.0333953 | ||||||||
\(951\) | 8.96618 | + | 15.5299i | 0.290748 | + | 0.503591i | ||||
\(952\) | −1.03588 | − | 1.79420i | −0.0335731 | − | 0.0581503i | ||||
\(953\) | 14.2750 | − | 24.7250i | 0.462413 | − | 0.800923i | −0.536668 | − | 0.843794i | \(-0.680317\pi\) |
0.999081 | + | 0.0428709i | \(0.0136504\pi\) | |||||||
\(954\) | −10.9164 | −0.353432 | ||||||||
\(955\) | 15.3270 | − | 26.5472i | 0.495971 | − | 0.859047i | ||||
\(956\) | −19.1889 | + | 33.2361i | −0.620612 | + | 1.07493i | ||||
\(957\) | 27.2728 | 0.881603 | ||||||||
\(958\) | 1.65208 | − | 2.86149i | 0.0533763 | − | 0.0924505i | ||||
\(959\) | −9.69625 | − | 16.7944i | −0.313108 | − | 0.542319i | ||||
\(960\) | −22.3849 | − | 38.7717i | −0.722469 | − | 1.25135i | ||||
\(961\) | 1.00000 | 0.0322581 | ||||||||
\(962\) | −0.167531 | − | 1.67161i | −0.00540142 | − | 0.0538950i | ||||
\(963\) | 15.8099 | 0.509468 | ||||||||
\(964\) | −6.62695 | − | 11.4782i | −0.213440 | − | 0.369688i | ||||
\(965\) | −14.8688 | − | 25.7535i | −0.478643 | − | 0.829033i | ||||
\(966\) | 1.62411 | − | 2.81304i | 0.0522548 | − | 0.0905080i | ||||
\(967\) | −13.6898 | −0.440233 | −0.220116 | − | 0.975474i | \(-0.570644\pi\) | ||||
−0.220116 | + | 0.975474i | \(0.570644\pi\) | |||||||
\(968\) | −1.19760 | + | 2.07430i | −0.0384923 | + | 0.0666706i | ||||
\(969\) | 10.3657 | − | 17.9539i | 0.332994 | − | 0.576763i | ||||
\(970\) | −1.80919 | −0.0580897 | ||||||||
\(971\) | −25.6909 | + | 44.4980i | −0.824461 | + | 1.42801i | 0.0778703 | + | 0.996963i | \(0.475188\pi\) |
−0.902331 | + | 0.431044i | \(0.858145\pi\) | |||||||
\(972\) | 19.5886 | + | 33.9285i | 0.628305 | + | 1.08826i | ||||
\(973\) | −11.7898 | − | 20.4205i | −0.377964 | − | 0.654653i | ||||
\(974\) | 2.99331 | 0.0959117 | ||||||||
\(975\) | 16.2956 | + | 7.34985i | 0.521878 | + | 0.235383i | ||||
\(976\) | −48.2841 | −1.54554 | ||||||||
\(977\) | 13.7855 | + | 23.8772i | 0.441038 | + | 0.763900i | 0.997767 | − | 0.0667946i | \(-0.0212772\pi\) |
−0.556729 | + | 0.830694i | \(0.687944\pi\) | |||||||
\(978\) | 1.41530 | + | 2.45138i | 0.0452564 | + | 0.0783865i | ||||
\(979\) | −15.7402 | + | 27.2628i | −0.503058 | + | 0.871323i | ||||
\(980\) | 30.7061 | 0.980871 | ||||||||
\(981\) | −24.0579 | + | 41.6695i | −0.768109 | + | 1.33040i | ||||
\(982\) | 1.13465 | − | 1.96527i | 0.0362081 | − | 0.0627143i | ||||
\(983\) | −8.72688 | −0.278344 | −0.139172 | − | 0.990268i | \(-0.544444\pi\) | ||||
−0.139172 | + | 0.990268i | \(0.544444\pi\) | |||||||
\(984\) | 7.47126 | − | 12.9406i | 0.238175 | − | 0.412531i | ||||
\(985\) | −12.9719 | − | 22.4680i | −0.413319 | − | 0.715890i | ||||
\(986\) | 0.239364 | + | 0.414591i | 0.00762292 | + | 0.0132033i | ||||
\(987\) | −78.2623 | −2.49112 | ||||||||
\(988\) | 37.1995 | + | 16.7781i | 1.18347 | + | 0.533784i | ||||
\(989\) | −17.8540 | −0.567724 | ||||||||
\(990\) | 1.75987 | + | 3.04819i | 0.0559324 | + | 0.0968778i | ||||
\(991\) | 24.4667 | + | 42.3775i | 0.777209 | + | 1.34617i | 0.933544 | + | 0.358462i | \(0.116699\pi\) |
−0.156335 | + | 0.987704i | \(0.549968\pi\) | |||||||
\(992\) | −0.682224 | + | 1.18165i | −0.0216606 | + | 0.0375173i | ||||
\(993\) | −59.3648 | −1.88388 | ||||||||
\(994\) | 0.362590 | − | 0.628024i | 0.0115007 | − | 0.0199197i | ||||
\(995\) | −22.8221 | + | 39.5291i | −0.723510 | + | 1.25316i | ||||
\(996\) | −84.7905 | −2.68669 | ||||||||
\(997\) | 23.6829 | − | 41.0200i | 0.750045 | − | 1.29912i | −0.197756 | − | 0.980251i | \(-0.563365\pi\) |
0.947800 | − | 0.318864i | \(-0.103301\pi\) | |||||||
\(998\) | 1.23520 | + | 2.13943i | 0.0390995 | + | 0.0677223i | ||||
\(999\) | 24.9760 | + | 43.2597i | 0.790207 | + | 1.36868i |
(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 | 403.2.f.c.94.9 | ✓ | 36 | |
13.3 | even | 3 | 5239.2.a.p.1.10 | 18 | |||
13.9 | even | 3 | inner | 403.2.f.c.373.9 | yes | 36 | |
13.10 | even | 6 | 5239.2.a.o.1.9 | 18 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
403.2.f.c.94.9 | ✓ | 36 | 1.1 | even | 1 | trivial | |
403.2.f.c.373.9 | yes | 36 | 13.9 | even | 3 | inner | |
5239.2.a.o.1.9 | 18 | 13.10 | even | 6 | |||
5239.2.a.p.1.10 | 18 | 13.3 | even | 3 |