Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [690,3,Mod(599,690)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(690, base_ring=CyclotomicField(2))
chi = DirichletCharacter(H, H._module([1, 1, 0]))
N = Newforms(chi, 3, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("690.599");
S:= CuspForms(chi, 3);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 690 = 2 \cdot 3 \cdot 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 3 \) |
Character orbit: | \([\chi]\) | \(=\) | 690.b (of order \(2\), degree \(1\), 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: | \(18.8011382409\) |
Analytic rank: | \(0\) |
Dimension: | \(88\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{2}]$ |
Embedding invariants
Embedding label | 599.11 | ||
Character | \(\chi\) | \(=\) | 690.599 |
Dual form | 690.3.b.a.599.12 |
$q$-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 \(\left(\mathbb{Z}/690\mathbb{Z}\right)^\times\).
\(n\) | \(277\) | \(461\) | \(511\) |
\(\chi(n)\) | \(-1\) | \(-1\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.41421 | −0.707107 | ||||||||
\(3\) | −2.13931 | − | 2.10317i | −0.713105 | − | 0.701057i | ||||
\(4\) | 2.00000 | 0.500000 | ||||||||
\(5\) | −2.73059 | + | 4.18854i | −0.546118 | + | 0.837708i | ||||
\(6\) | 3.02545 | + | 2.97433i | 0.504241 | + | 0.495722i | ||||
\(7\) | 4.11953i | 0.588505i | 0.955728 | + | 0.294252i | \(0.0950706\pi\) | ||||
−0.955728 | + | 0.294252i | \(0.904929\pi\) | |||||||
\(8\) | −2.82843 | −0.353553 | ||||||||
\(9\) | 0.153334 | + | 8.99869i | 0.0170371 | + | 0.999855i | ||||
\(10\) | 3.86164 | − | 5.92349i | 0.386164 | − | 0.592349i | ||||
\(11\) | 11.6004i | 1.05458i | 0.849685 | + | 0.527291i | \(0.176792\pi\) | ||||
−0.849685 | + | 0.527291i | \(0.823208\pi\) | |||||||
\(12\) | −4.27863 | − | 4.20634i | −0.356552 | − | 0.350529i | ||||
\(13\) | 7.53864i | 0.579895i | 0.957043 | + | 0.289948i | \(0.0936379\pi\) | ||||
−0.957043 | + | 0.289948i | \(0.906362\pi\) | |||||||
\(14\) | − | 5.82590i | − | 0.416136i | ||||||
\(15\) | 14.6508 | − | 3.21770i | 0.976721 | − | 0.214514i | ||||
\(16\) | 4.00000 | 0.250000 | ||||||||
\(17\) | −4.05192 | −0.238348 | −0.119174 | − | 0.992873i | \(-0.538025\pi\) | ||||
−0.119174 | + | 0.992873i | \(0.538025\pi\) | |||||||
\(18\) | −0.216847 | − | 12.7261i | −0.0120470 | − | 0.707004i | ||||
\(19\) | 6.12099 | 0.322158 | 0.161079 | − | 0.986942i | \(-0.448503\pi\) | ||||
0.161079 | + | 0.986942i | \(0.448503\pi\) | |||||||
\(20\) | −5.46118 | + | 8.37708i | −0.273059 | + | 0.418854i | ||||
\(21\) | 8.66409 | − | 8.81298i | 0.412576 | − | 0.419666i | ||||
\(22\) | − | 16.4054i | − | 0.745701i | ||||||
\(23\) | −4.79583 | −0.208514 | ||||||||
\(24\) | 6.05090 | + | 5.94867i | 0.252121 | + | 0.247861i | ||||
\(25\) | −10.0877 | − | 22.8744i | −0.403510 | − | 0.914975i | ||||
\(26\) | − | 10.6612i | − | 0.410048i | ||||||
\(27\) | 18.5978 | − | 19.5735i | 0.688806 | − | 0.724945i | ||||
\(28\) | 8.23907i | 0.294252i | ||||||||
\(29\) | 12.4980i | 0.430966i | 0.976508 | + | 0.215483i | \(0.0691325\pi\) | ||||
−0.976508 | + | 0.215483i | \(0.930867\pi\) | |||||||
\(30\) | −20.7194 | + | 4.55052i | −0.690646 | + | 0.151684i | ||||
\(31\) | −7.25915 | −0.234166 | −0.117083 | − | 0.993122i | \(-0.537354\pi\) | ||||
−0.117083 | + | 0.993122i | \(0.537354\pi\) | |||||||
\(32\) | −5.65685 | −0.176777 | ||||||||
\(33\) | 24.3976 | − | 24.8169i | 0.739322 | − | 0.752027i | ||||
\(34\) | 5.73028 | 0.168538 | ||||||||
\(35\) | −17.2548 | − | 11.2488i | −0.492995 | − | 0.321393i | ||||
\(36\) | 0.306667 | + | 17.9974i | 0.00851854 | + | 0.499927i | ||||
\(37\) | − | 16.1443i | − | 0.436333i | −0.975912 | − | 0.218166i | \(-0.929992\pi\) | ||
0.975912 | − | 0.218166i | \(-0.0700075\pi\) | |||||||
\(38\) | −8.65639 | −0.227800 | ||||||||
\(39\) | 15.8551 | − | 16.1275i | 0.406540 | − | 0.413526i | ||||
\(40\) | 7.72328 | − | 11.8470i | 0.193082 | − | 0.296175i | ||||
\(41\) | − | 40.8958i | − | 0.997458i | −0.866758 | − | 0.498729i | \(-0.833800\pi\) | ||
0.866758 | − | 0.498729i | \(-0.166200\pi\) | |||||||
\(42\) | −12.2529 | + | 12.4634i | −0.291735 | + | 0.296748i | ||||
\(43\) | 54.8610i | 1.27584i | 0.770104 | + | 0.637918i | \(0.220204\pi\) | ||||
−0.770104 | + | 0.637918i | \(0.779796\pi\) | |||||||
\(44\) | 23.2008i | 0.527291i | ||||||||
\(45\) | −38.1101 | − | 23.9295i | −0.846891 | − | 0.531767i | ||||
\(46\) | 6.78233 | 0.147442 | ||||||||
\(47\) | −14.5420 | −0.309405 | −0.154702 | − | 0.987961i | \(-0.549442\pi\) | ||||
−0.154702 | + | 0.987961i | \(0.549442\pi\) | |||||||
\(48\) | −8.55726 | − | 8.41269i | −0.178276 | − | 0.175264i | ||||
\(49\) | 32.0294 | 0.653662 | ||||||||
\(50\) | 14.2662 | + | 32.3493i | 0.285325 | + | 0.646985i | ||||
\(51\) | 8.66833 | + | 8.52188i | 0.169967 | + | 0.167096i | ||||
\(52\) | 15.0773i | 0.289948i | ||||||||
\(53\) | −5.66394 | −0.106867 | −0.0534334 | − | 0.998571i | \(-0.517016\pi\) | ||||
−0.0534334 | + | 0.998571i | \(0.517016\pi\) | |||||||
\(54\) | −26.3012 | + | 27.6811i | −0.487060 | + | 0.512614i | ||||
\(55\) | −48.5887 | − | 31.6759i | −0.883431 | − | 0.575926i | ||||
\(56\) | − | 11.6518i | − | 0.208068i | ||||||
\(57\) | −13.0947 | − | 12.8735i | −0.229732 | − | 0.225851i | ||||
\(58\) | − | 17.6748i | − | 0.304739i | ||||||
\(59\) | 8.63522i | 0.146360i | 0.997319 | + | 0.0731798i | \(0.0233147\pi\) | ||||
−0.997319 | + | 0.0731798i | \(0.976685\pi\) | |||||||
\(60\) | 29.3016 | − | 6.43541i | 0.488361 | − | 0.107257i | ||||
\(61\) | −63.6248 | −1.04303 | −0.521515 | − | 0.853242i | \(-0.674633\pi\) | ||||
−0.521515 | + | 0.853242i | \(0.674633\pi\) | |||||||
\(62\) | 10.2660 | 0.165580 | ||||||||
\(63\) | −37.0704 | + | 0.631663i | −0.588419 | + | 0.0100264i | ||||
\(64\) | 8.00000 | 0.125000 | ||||||||
\(65\) | −31.5759 | − | 20.5849i | −0.485783 | − | 0.316691i | ||||
\(66\) | −34.5034 | + | 35.0964i | −0.522780 | + | 0.531763i | ||||
\(67\) | 13.1875i | 0.196828i | 0.995146 | + | 0.0984141i | \(0.0313770\pi\) | ||||
−0.995146 | + | 0.0984141i | \(0.968623\pi\) | |||||||
\(68\) | −8.10384 | −0.119174 | ||||||||
\(69\) | 10.2598 | + | 10.0865i | 0.148693 | + | 0.146181i | ||||
\(70\) | 24.4020 | + | 15.9082i | 0.348600 | + | 0.227259i | ||||
\(71\) | − | 24.4620i | − | 0.344536i | −0.985050 | − | 0.172268i | \(-0.944891\pi\) | ||
0.985050 | − | 0.172268i | \(-0.0551094\pi\) | |||||||
\(72\) | −0.433693 | − | 25.4521i | −0.00602352 | − | 0.353502i | ||||
\(73\) | 18.3104i | 0.250827i | 0.992105 | + | 0.125414i | \(0.0400258\pi\) | ||||
−0.992105 | + | 0.125414i | \(0.959974\pi\) | |||||||
\(74\) | 22.8315i | 0.308534i | ||||||||
\(75\) | −26.5279 | + | 70.1518i | −0.353705 | + | 0.935357i | ||||
\(76\) | 12.2420 | 0.161079 | ||||||||
\(77\) | −47.7882 | −0.620626 | ||||||||
\(78\) | −22.4224 | + | 22.8078i | −0.287467 | + | 0.292407i | ||||
\(79\) | −139.245 | −1.76260 | −0.881298 | − | 0.472561i | \(-0.843330\pi\) | ||||
−0.881298 | + | 0.472561i | \(0.843330\pi\) | |||||||
\(80\) | −10.9224 | + | 16.7542i | −0.136530 | + | 0.209427i | ||||
\(81\) | −80.9530 | + | 2.75961i | −0.999419 | + | 0.0340692i | ||||
\(82\) | 57.8354i | 0.705310i | ||||||||
\(83\) | −68.7603 | −0.828437 | −0.414219 | − | 0.910177i | \(-0.635945\pi\) | ||||
−0.414219 | + | 0.910177i | \(0.635945\pi\) | |||||||
\(84\) | 17.3282 | − | 17.6260i | 0.206288 | − | 0.209833i | ||||
\(85\) | 11.0641 | − | 16.9716i | 0.130166 | − | 0.199666i | ||||
\(86\) | − | 77.5852i | − | 0.902153i | ||||||
\(87\) | 26.2855 | − | 26.7372i | 0.302132 | − | 0.307324i | ||||
\(88\) | − | 32.8109i | − | 0.372851i | ||||||
\(89\) | 35.6250i | 0.400281i | 0.979767 | + | 0.200141i | \(0.0641399\pi\) | ||||
−0.979767 | + | 0.200141i | \(0.935860\pi\) | |||||||
\(90\) | 53.8958 | + | 33.8414i | 0.598842 | + | 0.376016i | ||||
\(91\) | −31.0557 | −0.341271 | ||||||||
\(92\) | −9.59166 | −0.104257 | ||||||||
\(93\) | 15.5296 | + | 15.2672i | 0.166985 | + | 0.164164i | ||||
\(94\) | 20.5655 | 0.218782 | ||||||||
\(95\) | −16.7139 | + | 25.6380i | −0.175936 | + | 0.269874i | ||||
\(96\) | 12.1018 | + | 11.8973i | 0.126060 | + | 0.123931i | ||||
\(97\) | 14.7253i | 0.151807i | 0.997115 | + | 0.0759037i | \(0.0241842\pi\) | ||||
−0.997115 | + | 0.0759037i | \(0.975816\pi\) | |||||||
\(98\) | −45.2965 | −0.462209 | ||||||||
\(99\) | −104.388 | + | 1.77873i | −1.05443 | + | 0.0179670i | ||||
\(100\) | −20.1755 | − | 45.7488i | −0.201755 | − | 0.457488i | ||||
\(101\) | − | 115.541i | − | 1.14397i | −0.820264 | − | 0.571986i | \(-0.806173\pi\) | ||
0.820264 | − | 0.571986i | \(-0.193827\pi\) | |||||||
\(102\) | −12.2589 | − | 12.0518i | −0.120185 | − | 0.118155i | ||||
\(103\) | 7.01220i | 0.0680796i | 0.999420 | + | 0.0340398i | \(0.0108373\pi\) | ||||
−0.999420 | + | 0.0340398i | \(0.989163\pi\) | |||||||
\(104\) | − | 21.3225i | − | 0.205024i | ||||||
\(105\) | 13.2554 | + | 60.3545i | 0.126242 | + | 0.574805i | ||||
\(106\) | 8.01002 | 0.0755662 | ||||||||
\(107\) | −123.341 | −1.15272 | −0.576362 | − | 0.817194i | \(-0.695528\pi\) | ||||
−0.576362 | + | 0.817194i | \(0.695528\pi\) | |||||||
\(108\) | 37.1955 | − | 39.1470i | 0.344403 | − | 0.362473i | ||||
\(109\) | 138.067 | 1.26667 | 0.633335 | − | 0.773877i | \(-0.281685\pi\) | ||||
0.633335 | + | 0.773877i | \(0.281685\pi\) | |||||||
\(110\) | 68.7148 | + | 44.7965i | 0.624680 | + | 0.407241i | ||||
\(111\) | −33.9543 | + | 34.5378i | −0.305894 | + | 0.311151i | ||||
\(112\) | 16.4781i | 0.147126i | ||||||||
\(113\) | −200.726 | −1.77634 | −0.888169 | − | 0.459517i | \(-0.848022\pi\) | ||||
−0.888169 | + | 0.459517i | \(0.848022\pi\) | |||||||
\(114\) | 18.5187 | + | 18.2059i | 0.162445 | + | 0.159701i | ||||
\(115\) | 13.0955 | − | 20.0875i | 0.113874 | − | 0.174674i | ||||
\(116\) | 24.9960i | 0.215483i | ||||||||
\(117\) | −67.8379 | + | 1.15593i | −0.579811 | + | 0.00987972i | ||||
\(118\) | − | 12.2120i | − | 0.103492i | ||||||
\(119\) | − | 16.6920i | − | 0.140269i | ||||||
\(120\) | −41.4388 | + | 9.10104i | −0.345323 | + | 0.0758420i | ||||
\(121\) | −13.5691 | −0.112141 | ||||||||
\(122\) | 89.9791 | 0.737533 | ||||||||
\(123\) | −86.0109 | + | 87.4890i | −0.699276 | + | 0.711292i | ||||
\(124\) | −14.5183 | −0.117083 | ||||||||
\(125\) | 123.356 | + | 20.2077i | 0.986846 | + | 0.161661i | ||||
\(126\) | 52.4255 | − | 0.893307i | 0.416075 | − | 0.00708974i | ||||
\(127\) | − | 39.7961i | − | 0.313355i | −0.987650 | − | 0.156678i | \(-0.949922\pi\) | ||
0.987650 | − | 0.156678i | \(-0.0500783\pi\) | |||||||
\(128\) | −11.3137 | −0.0883883 | ||||||||
\(129\) | 115.382 | − | 117.365i | 0.894435 | − | 0.909805i | ||||
\(130\) | 44.6551 | + | 29.1115i | 0.343500 | + | 0.223935i | ||||
\(131\) | − | 154.311i | − | 1.17794i | −0.808153 | − | 0.588972i | \(-0.799533\pi\) | ||
0.808153 | − | 0.588972i | \(-0.200467\pi\) | |||||||
\(132\) | 48.7952 | − | 49.6338i | 0.369661 | − | 0.376013i | ||||
\(133\) | 25.2156i | 0.189591i | ||||||||
\(134\) | − | 18.6499i | − | 0.139179i | ||||||
\(135\) | 31.2016 | + | 131.345i | 0.231123 | + | 0.972925i | ||||
\(136\) | 11.4606 | 0.0842688 | ||||||||
\(137\) | −17.1465 | −0.125157 | −0.0625785 | − | 0.998040i | \(-0.519932\pi\) | ||||
−0.0625785 | + | 0.998040i | \(0.519932\pi\) | |||||||
\(138\) | −14.5095 | − | 14.2644i | −0.105142 | − | 0.103365i | ||||
\(139\) | −4.42669 | −0.0318467 | −0.0159233 | − | 0.999873i | \(-0.505069\pi\) | ||||
−0.0159233 | + | 0.999873i | \(0.505069\pi\) | |||||||
\(140\) | −34.5097 | − | 22.4975i | −0.246498 | − | 0.160697i | ||||
\(141\) | 31.1100 | + | 30.5844i | 0.220638 | + | 0.216910i | ||||
\(142\) | 34.5945i | 0.243623i | ||||||||
\(143\) | −87.4512 | −0.611547 | ||||||||
\(144\) | 0.613335 | + | 35.9948i | 0.00425927 | + | 0.249964i | ||||
\(145\) | −52.3484 | − | 34.1269i | −0.361023 | − | 0.235358i | ||||
\(146\) | − | 25.8948i | − | 0.177362i | ||||||
\(147\) | −68.5210 | − | 67.3634i | −0.466130 | − | 0.458255i | ||||
\(148\) | − | 32.2886i | − | 0.218166i | ||||||
\(149\) | − | 201.492i | − | 1.35230i | −0.736766 | − | 0.676148i | \(-0.763648\pi\) | ||
0.736766 | − | 0.676148i | \(-0.236352\pi\) | |||||||
\(150\) | 37.5161 | − | 99.2096i | 0.250107 | − | 0.661397i | ||||
\(151\) | −96.1771 | −0.636935 | −0.318467 | − | 0.947934i | \(-0.603168\pi\) | ||||
−0.318467 | + | 0.947934i | \(0.603168\pi\) | |||||||
\(152\) | −17.3128 | −0.113900 | ||||||||
\(153\) | −0.621296 | − | 36.4620i | −0.00406076 | − | 0.238314i | ||||
\(154\) | 67.5827 | 0.438849 | ||||||||
\(155\) | 19.8218 | − | 30.4052i | 0.127882 | − | 0.196163i | ||||
\(156\) | 31.7101 | − | 32.2550i | 0.203270 | − | 0.206763i | ||||
\(157\) | − | 188.931i | − | 1.20338i | −0.798729 | − | 0.601690i | \(-0.794494\pi\) | ||
0.798729 | − | 0.601690i | \(-0.205506\pi\) | |||||||
\(158\) | 196.922 | 1.24634 | ||||||||
\(159\) | 12.1169 | + | 11.9122i | 0.0762072 | + | 0.0749198i | ||||
\(160\) | 15.4466 | − | 23.6940i | 0.0965410 | − | 0.148087i | ||||
\(161\) | − | 19.7566i | − | 0.122712i | ||||||
\(162\) | 114.485 | − | 3.90267i | 0.706696 | − | 0.0240906i | ||||
\(163\) | 224.570i | 1.37773i | 0.724889 | + | 0.688866i | \(0.241891\pi\) | ||||
−0.724889 | + | 0.688866i | \(0.758109\pi\) | |||||||
\(164\) | − | 81.7916i | − | 0.498729i | ||||||
\(165\) | 37.3266 | + | 169.955i | 0.226222 | + | 1.03003i | ||||
\(166\) | 97.2417 | 0.585794 | ||||||||
\(167\) | 35.4667 | 0.212375 | 0.106188 | − | 0.994346i | \(-0.466136\pi\) | ||||
0.106188 | + | 0.994346i | \(0.466136\pi\) | |||||||
\(168\) | −24.5057 | + | 24.9269i | −0.145868 | + | 0.148374i | ||||
\(169\) | 112.169 | 0.663721 | ||||||||
\(170\) | −15.6470 | + | 24.0015i | −0.0920415 | + | 0.141185i | ||||
\(171\) | 0.938555 | + | 55.0810i | 0.00548862 | + | 0.322111i | ||||
\(172\) | 109.722i | 0.637918i | ||||||||
\(173\) | 155.123 | 0.896666 | 0.448333 | − | 0.893867i | \(-0.352018\pi\) | ||||
0.448333 | + | 0.893867i | \(0.352018\pi\) | |||||||
\(174\) | −37.1732 | + | 37.8121i | −0.213639 | + | 0.217311i | ||||
\(175\) | 94.2318 | − | 41.5568i | 0.538467 | − | 0.237467i | ||||
\(176\) | 46.4016i | 0.263645i | ||||||||
\(177\) | 18.1614 | − | 18.4735i | 0.102607 | − | 0.104370i | ||||
\(178\) | − | 50.3814i | − | 0.283042i | ||||||
\(179\) | − | 244.910i | − | 1.36821i | −0.729382 | − | 0.684107i | \(-0.760192\pi\) | ||
0.729382 | − | 0.684107i | \(-0.239808\pi\) | |||||||
\(180\) | −76.2202 | − | 47.8590i | −0.423445 | − | 0.265883i | ||||
\(181\) | −176.585 | −0.975608 | −0.487804 | − | 0.872953i | \(-0.662202\pi\) | ||||
−0.487804 | + | 0.872953i | \(0.662202\pi\) | |||||||
\(182\) | 43.9194 | 0.241315 | ||||||||
\(183\) | 136.113 | + | 133.814i | 0.743790 | + | 0.731224i | ||||
\(184\) | 13.5647 | 0.0737210 | ||||||||
\(185\) | 67.6211 | + | 44.0835i | 0.365519 | + | 0.238289i | ||||
\(186\) | −21.9622 | − | 21.5911i | −0.118076 | − | 0.116081i | ||||
\(187\) | − | 47.0039i | − | 0.251357i | ||||||
\(188\) | −29.0840 | −0.154702 | ||||||||
\(189\) | 80.6338 | + | 76.6142i | 0.426634 | + | 0.405366i | ||||
\(190\) | 23.6371 | − | 36.2577i | 0.124406 | − | 0.190830i | ||||
\(191\) | 102.841i | 0.538437i | 0.963079 | + | 0.269218i | \(0.0867653\pi\) | ||||
−0.963079 | + | 0.269218i | \(0.913235\pi\) | |||||||
\(192\) | −17.1145 | − | 16.8254i | −0.0891381 | − | 0.0876322i | ||||
\(193\) | 61.3672i | 0.317965i | 0.987281 | + | 0.158982i | \(0.0508213\pi\) | ||||
−0.987281 | + | 0.158982i | \(0.949179\pi\) | |||||||
\(194\) | − | 20.8247i | − | 0.107344i | ||||||
\(195\) | 24.2571 | + | 110.447i | 0.124395 | + | 0.566396i | ||||
\(196\) | 64.0589 | 0.326831 | ||||||||
\(197\) | 307.422 | 1.56052 | 0.780258 | − | 0.625457i | \(-0.215088\pi\) | ||||
0.780258 | + | 0.625457i | \(0.215088\pi\) | |||||||
\(198\) | 147.627 | − | 2.51551i | 0.745593 | − | 0.0127046i | ||||
\(199\) | −9.97633 | −0.0501323 | −0.0250662 | − | 0.999686i | \(-0.507980\pi\) | ||||
−0.0250662 | + | 0.999686i | \(0.507980\pi\) | |||||||
\(200\) | 28.5325 | + | 64.6985i | 0.142662 | + | 0.323493i | ||||
\(201\) | 27.7356 | − | 28.2122i | 0.137988 | − | 0.140359i | ||||
\(202\) | 163.400i | 0.808910i | ||||||||
\(203\) | −51.4860 | −0.253625 | ||||||||
\(204\) | 17.3367 | + | 17.0438i | 0.0849836 | + | 0.0835479i | ||||
\(205\) | 171.294 | + | 111.670i | 0.835579 | + | 0.544730i | ||||
\(206\) | − | 9.91675i | − | 0.0481396i | ||||||
\(207\) | −0.735363 | − | 43.1562i | −0.00355248 | − | 0.208484i | ||||
\(208\) | 30.1546i | 0.144974i | ||||||||
\(209\) | 71.0059i | 0.339741i | ||||||||
\(210\) | −18.7460 | − | 85.3542i | −0.0892668 | − | 0.406449i | ||||
\(211\) | 157.898 | 0.748332 | 0.374166 | − | 0.927362i | \(-0.377929\pi\) | ||||
0.374166 | + | 0.927362i | \(0.377929\pi\) | |||||||
\(212\) | −11.3279 | −0.0534334 | ||||||||
\(213\) | −51.4479 | + | 52.3320i | −0.241539 | + | 0.245690i | ||||
\(214\) | 174.431 | 0.815099 | ||||||||
\(215\) | −229.787 | − | 149.803i | −1.06878 | − | 0.696758i | ||||
\(216\) | −52.6024 | + | 55.3623i | −0.243530 | + | 0.256307i | ||||
\(217\) | − | 29.9043i | − | 0.137808i | ||||||
\(218\) | −195.256 | −0.895671 | ||||||||
\(219\) | 38.5099 | − | 39.1717i | 0.175844 | − | 0.178866i | ||||
\(220\) | −97.1774 | − | 63.3519i | −0.441716 | − | 0.287963i | ||||
\(221\) | − | 30.5460i | − | 0.138217i | ||||||
\(222\) | 48.0186 | − | 48.8438i | 0.216300 | − | 0.220017i | ||||
\(223\) | 304.079i | 1.36358i | 0.731547 | + | 0.681791i | \(0.238798\pi\) | ||||
−0.731547 | + | 0.681791i | \(0.761202\pi\) | |||||||
\(224\) | − | 23.3036i | − | 0.104034i | ||||||
\(225\) | 204.293 | − | 94.2839i | 0.907968 | − | 0.419040i | ||||
\(226\) | 283.870 | 1.25606 | ||||||||
\(227\) | −30.9145 | −0.136187 | −0.0680935 | − | 0.997679i | \(-0.521692\pi\) | ||||
−0.0680935 | + | 0.997679i | \(0.521692\pi\) | |||||||
\(228\) | −26.1895 | − | 25.7470i | −0.114866 | − | 0.112925i | ||||
\(229\) | −100.974 | −0.440932 | −0.220466 | − | 0.975395i | \(-0.570758\pi\) | ||||
−0.220466 | + | 0.975395i | \(0.570758\pi\) | |||||||
\(230\) | −18.5198 | + | 28.4081i | −0.0805207 | + | 0.123513i | ||||
\(231\) | 102.234 | + | 100.507i | 0.442572 | + | 0.435095i | ||||
\(232\) | − | 35.3497i | − | 0.152369i | ||||||
\(233\) | −238.450 | −1.02339 | −0.511694 | − | 0.859168i | \(-0.670982\pi\) | ||||
−0.511694 | + | 0.859168i | \(0.670982\pi\) | |||||||
\(234\) | 95.9373 | − | 1.63473i | 0.409988 | − | 0.00698602i | ||||
\(235\) | 39.7083 | − | 60.9098i | 0.168972 | − | 0.259191i | ||||
\(236\) | 17.2704i | 0.0731798i | ||||||||
\(237\) | 297.889 | + | 292.856i | 1.25692 | + | 1.23568i | ||||
\(238\) | 23.6061i | 0.0991852i | ||||||||
\(239\) | − | 316.519i | − | 1.32435i | −0.749351 | − | 0.662173i | \(-0.769635\pi\) | ||
0.749351 | − | 0.662173i | \(-0.230365\pi\) | |||||||
\(240\) | 58.6033 | − | 12.8708i | 0.244180 | − | 0.0536284i | ||||
\(241\) | 85.5318 | 0.354904 | 0.177452 | − | 0.984129i | \(-0.443215\pi\) | ||||
0.177452 | + | 0.984129i | \(0.443215\pi\) | |||||||
\(242\) | 19.1896 | 0.0792960 | ||||||||
\(243\) | 178.988 | + | 164.354i | 0.736575 | + | 0.676355i | ||||
\(244\) | −127.250 | −0.521515 | ||||||||
\(245\) | −87.4593 | + | 134.157i | −0.356977 | + | 0.547578i | ||||
\(246\) | 121.638 | − | 123.728i | 0.494462 | − | 0.502960i | ||||
\(247\) | 46.1440i | 0.186818i | ||||||||
\(248\) | 20.5320 | 0.0827902 | ||||||||
\(249\) | 147.100 | + | 144.615i | 0.590763 | + | 0.580782i | ||||
\(250\) | −174.451 | − | 28.5779i | −0.697806 | − | 0.114312i | ||||
\(251\) | 316.502i | 1.26096i | 0.776204 | + | 0.630482i | \(0.217143\pi\) | ||||
−0.776204 | + | 0.630482i | \(0.782857\pi\) | |||||||
\(252\) | −74.1409 | + | 1.26333i | −0.294210 | + | 0.00501320i | ||||
\(253\) | − | 55.6335i | − | 0.219895i | ||||||
\(254\) | 56.2802i | 0.221575i | ||||||||
\(255\) | −59.3639 | + | 13.0379i | −0.232800 | + | 0.0511289i | ||||
\(256\) | 16.0000 | 0.0625000 | ||||||||
\(257\) | 325.010 | 1.26463 | 0.632314 | − | 0.774712i | \(-0.282105\pi\) | ||||
0.632314 | + | 0.774712i | \(0.282105\pi\) | |||||||
\(258\) | −163.175 | + | 165.979i | −0.632461 | + | 0.643330i | ||||
\(259\) | 66.5070 | 0.256784 | ||||||||
\(260\) | −63.1518 | − | 41.1699i | −0.242891 | − | 0.158346i | ||||
\(261\) | −112.466 | + | 1.91637i | −0.430903 | + | 0.00734240i | ||||
\(262\) | 218.228i | 0.832933i | ||||||||
\(263\) | −400.567 | −1.52307 | −0.761534 | − | 0.648125i | \(-0.775553\pi\) | ||||
−0.761534 | + | 0.648125i | \(0.775553\pi\) | |||||||
\(264\) | −69.0069 | + | 70.1928i | −0.261390 | + | 0.265882i | ||||
\(265\) | 15.4659 | − | 23.7236i | 0.0583619 | − | 0.0895232i | ||||
\(266\) | − | 35.6603i | − | 0.134061i | ||||||
\(267\) | 74.9256 | − | 76.2131i | 0.280620 | − | 0.285442i | ||||
\(268\) | 26.3750i | 0.0984141i | ||||||||
\(269\) | − | 91.5363i | − | 0.340284i | −0.985420 | − | 0.170142i | \(-0.945577\pi\) | ||
0.985420 | − | 0.170142i | \(-0.0544226\pi\) | |||||||
\(270\) | −44.1257 | − | 185.750i | −0.163429 | − | 0.687962i | ||||
\(271\) | −105.181 | −0.388121 | −0.194061 | − | 0.980990i | \(-0.562166\pi\) | ||||
−0.194061 | + | 0.980990i | \(0.562166\pi\) | |||||||
\(272\) | −16.2077 | −0.0595870 | ||||||||
\(273\) | 66.4379 | + | 65.3154i | 0.243362 | + | 0.239251i | ||||
\(274\) | 24.2488 | 0.0884993 | ||||||||
\(275\) | 265.352 | − | 117.022i | 0.964916 | − | 0.425534i | ||||
\(276\) | 20.5196 | + | 20.1729i | 0.0743463 | + | 0.0730903i | ||||
\(277\) | − | 139.929i | − | 0.505159i | −0.967576 | − | 0.252580i | \(-0.918721\pi\) | ||
0.967576 | − | 0.252580i | \(-0.0812789\pi\) | |||||||
\(278\) | 6.26028 | 0.0225190 | ||||||||
\(279\) | −1.11307 | − | 65.3228i | −0.00398950 | − | 0.234132i | ||||
\(280\) | 48.8040 | + | 31.8163i | 0.174300 | + | 0.113630i | ||||
\(281\) | 155.759i | 0.554302i | 0.960826 | + | 0.277151i | \(0.0893902\pi\) | ||||
−0.960826 | + | 0.277151i | \(0.910610\pi\) | |||||||
\(282\) | −43.9961 | − | 43.2528i | −0.156015 | − | 0.153379i | ||||
\(283\) | 9.60708i | 0.0339473i | 0.999856 | + | 0.0169736i | \(0.00540314\pi\) | ||||
−0.999856 | + | 0.0169736i | \(0.994597\pi\) | |||||||
\(284\) | − | 48.9241i | − | 0.172268i | ||||||
\(285\) | 89.6776 | − | 19.6955i | 0.314658 | − | 0.0691072i | ||||
\(286\) | 123.675 | 0.432429 | ||||||||
\(287\) | 168.472 | 0.587009 | ||||||||
\(288\) | −0.867386 | − | 50.9043i | −0.00301176 | − | 0.176751i | ||||
\(289\) | −272.582 | −0.943190 | ||||||||
\(290\) | 74.0318 | + | 48.2628i | 0.255282 | + | 0.166423i | ||||
\(291\) | 30.9699 | − | 31.5021i | 0.106426 | − | 0.108255i | ||||
\(292\) | 36.6208i | 0.125414i | ||||||||
\(293\) | 279.677 | 0.954530 | 0.477265 | − | 0.878759i | \(-0.341628\pi\) | ||||
0.477265 | + | 0.878759i | \(0.341628\pi\) | |||||||
\(294\) | 96.9034 | + | 95.2663i | 0.329603 | + | 0.324035i | ||||
\(295\) | −36.1690 | − | 23.5793i | −0.122607 | − | 0.0799297i | ||||
\(296\) | 45.6630i | 0.154267i | ||||||||
\(297\) | 227.061 | + | 215.741i | 0.764514 | + | 0.726402i | ||||
\(298\) | 284.953i | 0.956218i | ||||||||
\(299\) | − | 36.1540i | − | 0.120917i | ||||||
\(300\) | −53.0558 | + | 140.304i | −0.176853 | + | 0.467678i | ||||
\(301\) | −226.002 | −0.750836 | ||||||||
\(302\) | 136.015 | 0.450381 | ||||||||
\(303\) | −243.003 | + | 247.179i | −0.801990 | + | 0.815772i | ||||
\(304\) | 24.4840 | 0.0805394 | ||||||||
\(305\) | 173.733 | − | 266.495i | 0.569618 | − | 0.873754i | ||||
\(306\) | 0.878645 | + | 51.5650i | 0.00287139 | + | 0.168513i | ||||
\(307\) | − | 40.1533i | − | 0.130793i | −0.997859 | − | 0.0653963i | \(-0.979169\pi\) | ||
0.997859 | − | 0.0653963i | \(-0.0208311\pi\) | |||||||
\(308\) | −95.5764 | −0.310313 | ||||||||
\(309\) | 14.7479 | − | 15.0013i | 0.0477277 | − | 0.0485479i | ||||
\(310\) | −28.0322 | + | 42.9995i | −0.0904265 | + | 0.138708i | ||||
\(311\) | − | 325.670i | − | 1.04717i | −0.851973 | − | 0.523586i | \(-0.824594\pi\) | ||
0.851973 | − | 0.523586i | \(-0.175406\pi\) | |||||||
\(312\) | −44.8449 | + | 45.6155i | −0.143734 | + | 0.146204i | ||||
\(313\) | − | 374.375i | − | 1.19609i | −0.801464 | − | 0.598044i | \(-0.795945\pi\) | ||
0.801464 | − | 0.598044i | \(-0.204055\pi\) | |||||||
\(314\) | 267.188i | 0.850919i | ||||||||
\(315\) | 98.5784 | − | 156.996i | 0.312947 | − | 0.498399i | ||||
\(316\) | −278.490 | −0.881298 | ||||||||
\(317\) | 430.778 | 1.35892 | 0.679461 | − | 0.733712i | \(-0.262214\pi\) | ||||
0.679461 | + | 0.733712i | \(0.262214\pi\) | |||||||
\(318\) | −17.1360 | − | 16.8465i | −0.0538866 | − | 0.0529763i | ||||
\(319\) | −144.982 | −0.454488 | ||||||||
\(320\) | −21.8447 | + | 33.5083i | −0.0682648 | + | 0.104714i | ||||
\(321\) | 263.866 | + | 259.408i | 0.822013 | + | 0.808126i | ||||
\(322\) | 27.9400i | 0.0867703i | ||||||||
\(323\) | −24.8018 | −0.0767857 | ||||||||
\(324\) | −161.906 | + | 5.51921i | −0.499710 | + | 0.0170346i | ||||
\(325\) | 172.442 | − | 76.0479i | 0.530590 | − | 0.233993i | ||||
\(326\) | − | 317.590i | − | 0.974204i | ||||||
\(327\) | −295.369 | − | 290.379i | −0.903269 | − | 0.888009i | ||||
\(328\) | 115.671i | 0.352655i | ||||||||
\(329\) | − | 59.9063i | − | 0.182086i | ||||||
\(330\) | −52.7878 | − | 240.353i | −0.159963 | − | 0.728342i | ||||
\(331\) | −551.313 | −1.66560 | −0.832799 | − | 0.553576i | \(-0.813263\pi\) | ||||
−0.832799 | + | 0.553576i | \(0.813263\pi\) | |||||||
\(332\) | −137.521 | −0.414219 | ||||||||
\(333\) | 145.278 | − | 2.47547i | 0.436269 | − | 0.00743383i | ||||
\(334\) | −50.1574 | −0.150172 | ||||||||
\(335\) | −55.2363 | − | 36.0096i | −0.164885 | − | 0.107491i | ||||
\(336\) | 34.6564 | − | 35.2519i | 0.103144 | − | 0.104916i | ||||
\(337\) | − | 270.945i | − | 0.803991i | −0.915642 | − | 0.401996i | \(-0.868317\pi\) | ||
0.915642 | − | 0.401996i | \(-0.131683\pi\) | |||||||
\(338\) | −158.631 | −0.469322 | ||||||||
\(339\) | 429.416 | + | 422.162i | 1.26672 | + | 1.24531i | ||||
\(340\) | 22.1283 | − | 33.9433i | 0.0650831 | − | 0.0998331i | ||||
\(341\) | − | 84.2090i | − | 0.246947i | ||||||
\(342\) | −1.32732 | − | 77.8962i | −0.00388104 | − | 0.227767i | ||||
\(343\) | 333.804i | 0.973188i | ||||||||
\(344\) | − | 155.170i | − | 0.451076i | ||||||
\(345\) | −70.2628 | + | 15.4316i | −0.203660 | + | 0.0447292i | ||||
\(346\) | −219.377 | −0.634039 | ||||||||
\(347\) | −100.948 | −0.290917 | −0.145459 | − | 0.989364i | \(-0.546466\pi\) | ||||
−0.145459 | + | 0.989364i | \(0.546466\pi\) | |||||||
\(348\) | 52.5709 | − | 53.4743i | 0.151066 | − | 0.153662i | ||||
\(349\) | 291.754 | 0.835971 | 0.417986 | − | 0.908454i | \(-0.362736\pi\) | ||||
0.417986 | + | 0.908454i | \(0.362736\pi\) | |||||||
\(350\) | −133.264 | + | 58.7702i | −0.380754 | + | 0.167915i | ||||
\(351\) | 147.558 | + | 140.202i | 0.420392 | + | 0.399436i | ||||
\(352\) | − | 65.6217i | − | 0.186425i | ||||||
\(353\) | −630.650 | −1.78654 | −0.893272 | − | 0.449516i | \(-0.851597\pi\) | ||||
−0.893272 | + | 0.449516i | \(0.851597\pi\) | |||||||
\(354\) | −25.6840 | + | 26.1254i | −0.0725538 | + | 0.0738006i | ||||
\(355\) | 102.460 | + | 66.7958i | 0.288620 | + | 0.188157i | ||||
\(356\) | 71.2500i | 0.200141i | ||||||||
\(357\) | −35.1062 | + | 35.7095i | −0.0983367 | + | 0.100027i | ||||
\(358\) | 346.355i | 0.967473i | ||||||||
\(359\) | − | 429.259i | − | 1.19571i | −0.801605 | − | 0.597854i | \(-0.796020\pi\) | ||
0.801605 | − | 0.597854i | \(-0.203980\pi\) | |||||||
\(360\) | 107.792 | + | 67.6829i | 0.299421 | + | 0.188008i | ||||
\(361\) | −323.533 | −0.896214 | ||||||||
\(362\) | 249.729 | 0.689859 | ||||||||
\(363\) | 29.0286 | + | 28.5382i | 0.0799686 | + | 0.0786176i | ||||
\(364\) | −62.1114 | −0.170636 | ||||||||
\(365\) | −76.6938 | − | 49.9982i | −0.210120 | − | 0.136981i | ||||
\(366\) | −192.494 | − | 189.241i | −0.525939 | − | 0.517053i | ||||
\(367\) | − | 276.970i | − | 0.754688i | −0.926073 | − | 0.377344i | \(-0.876838\pi\) | ||
0.926073 | − | 0.377344i | \(-0.123162\pi\) | |||||||
\(368\) | −19.1833 | −0.0521286 | ||||||||
\(369\) | 368.009 | − | 6.27070i | 0.997314 | − | 0.0169938i | ||||
\(370\) | −95.6307 | − | 62.3435i | −0.258461 | − | 0.168496i | ||||
\(371\) | − | 23.3328i | − | 0.0628916i | ||||||
\(372\) | 31.0592 | + | 30.5345i | 0.0834925 | + | 0.0820819i | ||||
\(373\) | − | 64.3715i | − | 0.172578i | −0.996270 | − | 0.0862889i | \(-0.972499\pi\) | ||
0.996270 | − | 0.0862889i | \(-0.0275008\pi\) | |||||||
\(374\) | 66.4735i | 0.177737i | ||||||||
\(375\) | −221.397 | − | 302.669i | −0.590391 | − | 0.807117i | ||||
\(376\) | 41.1310 | 0.109391 | ||||||||
\(377\) | −94.2179 | −0.249915 | ||||||||
\(378\) | −114.033 | − | 108.349i | −0.301676 | − | 0.286637i | ||||
\(379\) | −454.045 | −1.19801 | −0.599004 | − | 0.800746i | \(-0.704437\pi\) | ||||
−0.599004 | + | 0.800746i | \(0.704437\pi\) | |||||||
\(380\) | −33.4279 | + | 51.2761i | −0.0879681 | + | 0.134937i | ||||
\(381\) | −83.6980 | + | 85.1364i | −0.219680 | + | 0.223455i | ||||
\(382\) | − | 145.440i | − | 0.380732i | ||||||
\(383\) | −675.828 | −1.76456 | −0.882282 | − | 0.470722i | \(-0.843994\pi\) | ||||
−0.882282 | + | 0.470722i | \(0.843994\pi\) | |||||||
\(384\) | 24.2036 | + | 23.7947i | 0.0630302 | + | 0.0619653i | ||||
\(385\) | 130.490 | − | 200.163i | 0.338935 | − | 0.519904i | ||||
\(386\) | − | 86.7863i | − | 0.224835i | ||||||
\(387\) | −493.677 | + | 8.41204i | −1.27565 | + | 0.0217365i | ||||
\(388\) | 29.4506i | 0.0759037i | ||||||||
\(389\) | 383.826i | 0.986698i | 0.869831 | + | 0.493349i | \(0.164228\pi\) | ||||
−0.869831 | + | 0.493349i | \(0.835772\pi\) | |||||||
\(390\) | −34.3047 | − | 156.196i | −0.0879608 | − | 0.400502i | ||||
\(391\) | 19.4323 | 0.0496990 | ||||||||
\(392\) | −90.5929 | −0.231104 | ||||||||
\(393\) | −324.542 | + | 330.119i | −0.825807 | + | 0.839998i | ||||
\(394\) | −434.760 | −1.10345 | ||||||||
\(395\) | 380.221 | − | 583.234i | 0.962586 | − | 1.47654i | ||||
\(396\) | −208.777 | + | 3.55746i | −0.527214 | + | 0.00898349i | ||||
\(397\) | − | 475.506i | − | 1.19775i | −0.800843 | − | 0.598874i | \(-0.795615\pi\) | ||
0.800843 | − | 0.598874i | \(-0.204385\pi\) | |||||||
\(398\) | 14.1087 | 0.0354489 | ||||||||
\(399\) | 53.0328 | − | 53.9442i | 0.132914 | − | 0.135198i | ||||
\(400\) | −40.3510 | − | 91.4975i | −0.100877 | − | 0.228744i | ||||
\(401\) | 693.445i | 1.72929i | 0.502385 | + | 0.864644i | \(0.332456\pi\) | ||||
−0.502385 | + | 0.864644i | \(0.667544\pi\) | |||||||
\(402\) | −39.2240 | + | 39.8981i | −0.0975722 | + | 0.0992489i | ||||
\(403\) | − | 54.7241i | − | 0.135792i | ||||||
\(404\) | − | 231.082i | − | 0.571986i | ||||||
\(405\) | 209.491 | − | 346.610i | 0.517261 | − | 0.855828i | ||||
\(406\) | 72.8121 | 0.179340 | ||||||||
\(407\) | 187.280 | 0.460148 | ||||||||
\(408\) | −24.5177 | − | 24.1035i | −0.0600925 | − | 0.0590773i | ||||
\(409\) | 20.9281 | 0.0511689 | 0.0255845 | − | 0.999673i | \(-0.491855\pi\) | ||||
0.0255845 | + | 0.999673i | \(0.491855\pi\) | |||||||
\(410\) | −242.246 | − | 157.925i | −0.590844 | − | 0.385182i | ||||
\(411\) | 36.6818 | + | 36.0620i | 0.0892500 | + | 0.0877422i | ||||
\(412\) | 14.0244i | 0.0340398i | ||||||||
\(413\) | −35.5731 | −0.0861334 | ||||||||
\(414\) | 1.03996 | + | 61.0321i | 0.00251198 | + | 0.147421i | ||||
\(415\) | 187.756 | − | 288.005i | 0.452425 | − | 0.693989i | ||||
\(416\) | − | 42.6450i | − | 0.102512i | ||||||
\(417\) | 9.47008 | + | 9.31009i | 0.0227100 | + | 0.0223264i | ||||
\(418\) | − | 100.418i | − | 0.240233i | ||||||
\(419\) | − | 283.881i | − | 0.677519i | −0.940873 | − | 0.338760i | \(-0.889993\pi\) | ||
0.940873 | − | 0.338760i | \(-0.110007\pi\) | |||||||
\(420\) | 26.5109 | + | 120.709i | 0.0631211 | + | 0.287403i | ||||
\(421\) | 787.293 | 1.87005 | 0.935027 | − | 0.354575i | \(-0.115375\pi\) | ||||
0.935027 | + | 0.354575i | \(0.115375\pi\) | |||||||
\(422\) | −223.302 | −0.529151 | ||||||||
\(423\) | −2.22978 | − | 130.859i | −0.00527135 | − | 0.309360i | ||||
\(424\) | 16.0200 | 0.0377831 | ||||||||
\(425\) | 40.8747 | + | 92.6851i | 0.0961758 | + | 0.218083i | ||||
\(426\) | 72.7582 | − | 74.0086i | 0.170794 | − | 0.173729i | ||||
\(427\) | − | 262.105i | − | 0.613828i | ||||||
\(428\) | −246.683 | −0.576362 | ||||||||
\(429\) | 187.086 | + | 183.925i | 0.436097 | + | 0.428729i | ||||
\(430\) | 324.969 | + | 211.853i | 0.755741 | + | 0.492682i | ||||
\(431\) | 452.979i | 1.05100i | 0.850795 | + | 0.525498i | \(0.176121\pi\) | ||||
−0.850795 | + | 0.525498i | \(0.823879\pi\) | |||||||
\(432\) | 74.3911 | − | 78.2941i | 0.172202 | − | 0.181236i | ||||
\(433\) | 232.550i | 0.537067i | 0.963270 | + | 0.268533i | \(0.0865389\pi\) | ||||
−0.963270 | + | 0.268533i | \(0.913461\pi\) | |||||||
\(434\) | 42.2911i | 0.0974449i | ||||||||
\(435\) | 40.2149 | + | 183.106i | 0.0924480 | + | 0.420933i | ||||
\(436\) | 276.134 | 0.633335 | ||||||||
\(437\) | −29.3553 | −0.0671745 | ||||||||
\(438\) | −54.4612 | + | 55.3971i | −0.124341 | + | 0.126477i | ||||
\(439\) | −226.602 | −0.516178 | −0.258089 | − | 0.966121i | \(-0.583093\pi\) | ||||
−0.258089 | + | 0.966121i | \(0.583093\pi\) | |||||||
\(440\) | 137.430 | + | 89.5931i | 0.312340 | + | 0.203621i | ||||
\(441\) | 4.91119 | + | 288.223i | 0.0111365 | + | 0.653567i | ||||
\(442\) | 43.1985i | 0.0977342i | ||||||||
\(443\) | 551.312 | 1.24450 | 0.622248 | − | 0.782820i | \(-0.286220\pi\) | ||||
0.622248 | + | 0.782820i | \(0.286220\pi\) | |||||||
\(444\) | −67.9085 | + | 69.0755i | −0.152947 | + | 0.155575i | ||||
\(445\) | −149.217 | − | 97.2774i | −0.335319 | − | 0.218601i | ||||
\(446\) | − | 430.032i | − | 0.964198i | ||||||
\(447\) | −423.773 | + | 431.055i | −0.948037 | + | 0.964329i | ||||
\(448\) | 32.9563i | 0.0735631i | ||||||||
\(449\) | 612.626i | 1.36442i | 0.731154 | + | 0.682212i | \(0.238982\pi\) | ||||
−0.731154 | + | 0.682212i | \(0.761018\pi\) | |||||||
\(450\) | −288.914 | + | 133.338i | −0.642030 | + | 0.296306i | ||||
\(451\) | 474.407 | 1.05190 | ||||||||
\(452\) | −401.452 | −0.888169 | ||||||||
\(453\) | 205.753 | + | 202.277i | 0.454201 | + | 0.446528i | ||||
\(454\) | 43.7197 | 0.0962988 | ||||||||
\(455\) | 84.8004 | − | 130.078i | 0.186374 | − | 0.285886i | ||||
\(456\) | 37.0375 | + | 36.4118i | 0.0812226 | + | 0.0798504i | ||||
\(457\) | − | 141.828i | − | 0.310345i | −0.987887 | − | 0.155173i | \(-0.950407\pi\) | ||
0.987887 | − | 0.155173i | \(-0.0495934\pi\) | |||||||
\(458\) | 142.798 | 0.311786 | ||||||||
\(459\) | −75.3567 | + | 79.3103i | −0.164176 | + | 0.172789i | ||||
\(460\) | 26.1909 | − | 40.1751i | 0.0569368 | − | 0.0873371i | ||||
\(461\) | 463.030i | 1.00440i | 0.864751 | + | 0.502202i | \(0.167476\pi\) | ||||
−0.864751 | + | 0.502202i | \(0.832524\pi\) | |||||||
\(462\) | −144.581 | − | 142.138i | −0.312945 | − | 0.307658i | ||||
\(463\) | − | 601.446i | − | 1.29902i | −0.760354 | − | 0.649509i | \(-0.774974\pi\) | ||
0.760354 | − | 0.649509i | \(-0.225026\pi\) | |||||||
\(464\) | 49.9920i | 0.107741i | ||||||||
\(465\) | −106.352 | + | 23.3578i | −0.228715 | + | 0.0502318i | ||||
\(466\) | 337.219 | 0.723645 | ||||||||
\(467\) | 560.940 | 1.20116 | 0.600578 | − | 0.799566i | \(-0.294937\pi\) | ||||
0.600578 | + | 0.799566i | \(0.294937\pi\) | |||||||
\(468\) | −135.676 | + | 2.31185i | −0.289906 | + | 0.00493986i | ||||
\(469\) | −54.3263 | −0.115834 | ||||||||
\(470\) | −56.1560 | + | 86.1395i | −0.119481 | + | 0.183276i | ||||
\(471\) | −397.354 | + | 404.182i | −0.843639 | + | 0.858137i | ||||
\(472\) | − | 24.4241i | − | 0.0517460i | ||||||
\(473\) | −636.409 | −1.34547 | ||||||||
\(474\) | −421.279 | − | 414.162i | −0.888774 | − | 0.873759i | ||||
\(475\) | −61.7470 | − | 140.014i | −0.129994 | − | 0.294766i | ||||
\(476\) | − | 33.3840i | − | 0.0701345i | ||||||
\(477\) | −0.868473 | − | 50.9681i | −0.00182070 | − | 0.106851i | ||||
\(478\) | 447.625i | 0.936454i | ||||||||
\(479\) | 165.257i | 0.345004i | 0.985009 | + | 0.172502i | \(0.0551852\pi\) | ||||
−0.985009 | + | 0.172502i | \(0.944815\pi\) | |||||||
\(480\) | −82.8775 | + | 18.2021i | −0.172662 | + | 0.0379210i | ||||
\(481\) | 121.706 | 0.253027 | ||||||||
\(482\) | −120.960 | −0.250955 | ||||||||
\(483\) | −41.5515 | + | 42.2656i | −0.0860280 | + | 0.0875063i | ||||
\(484\) | −27.1382 | −0.0560707 | ||||||||
\(485\) | −61.6776 | − | 40.2088i | −0.127170 | − | 0.0829048i | ||||
\(486\) | −253.127 | − | 232.432i | −0.520837 | − | 0.478256i | ||||
\(487\) | − | 670.868i | − | 1.37755i | −0.724974 | − | 0.688776i | \(-0.758148\pi\) | ||
0.724974 | − | 0.688776i | \(-0.241852\pi\) | |||||||
\(488\) | 179.958 | 0.368767 | ||||||||
\(489\) | 472.310 | − | 480.427i | 0.965869 | − | 0.982467i | ||||
\(490\) | 123.686 | − | 189.726i | 0.252421 | − | 0.387196i | ||||
\(491\) | 454.572i | 0.925808i | 0.886408 | + | 0.462904i | \(0.153193\pi\) | ||||
−0.886408 | + | 0.462904i | \(0.846807\pi\) | |||||||
\(492\) | −172.022 | + | 174.978i | −0.349638 | + | 0.355646i | ||||
\(493\) | − | 50.6409i | − | 0.102720i | ||||||
\(494\) | − | 65.2574i | − | 0.132100i | ||||||
\(495\) | 277.592 | − | 442.092i | 0.560791 | − | 0.893115i | ||||
\(496\) | −29.0366 | −0.0585415 | ||||||||
\(497\) | 100.772 | 0.202761 | ||||||||
\(498\) | −208.031 | − | 204.516i | −0.417732 | − | 0.410675i | ||||
\(499\) | −803.276 | −1.60977 | −0.804886 | − | 0.593430i | \(-0.797774\pi\) | ||||
−0.804886 | + | 0.593430i | \(0.797774\pi\) | |||||||
\(500\) | 246.712 | + | 40.4153i | 0.493423 | + | 0.0808306i | ||||
\(501\) | −75.8743 | − | 74.5925i | −0.151446 | − | 0.148887i | ||||
\(502\) | − | 447.601i | − | 0.891636i | ||||||
\(503\) | −560.373 | −1.11406 | −0.557031 | − | 0.830492i | \(-0.688059\pi\) | ||||
−0.557031 | + | 0.830492i | \(0.688059\pi\) | |||||||
\(504\) | 104.851 | − | 1.78661i | 0.208038 | − | 0.00354487i | ||||
\(505\) | 483.949 | + | 315.496i | 0.958314 | + | 0.624744i | ||||
\(506\) | 78.6777i | 0.155490i | ||||||||
\(507\) | −239.965 | − | 235.911i | −0.473303 | − | 0.465307i | ||||
\(508\) | − | 79.5922i | − | 0.156678i | ||||||
\(509\) | 443.933i | 0.872166i | 0.899906 | + | 0.436083i | \(0.143635\pi\) | ||||
−0.899906 | + | 0.436083i | \(0.856365\pi\) | |||||||
\(510\) | 83.9533 | − | 18.4383i | 0.164614 | − | 0.0361536i | ||||
\(511\) | −75.4303 | −0.147613 | ||||||||
\(512\) | −22.6274 | −0.0441942 | ||||||||
\(513\) | 113.837 | − | 119.809i | 0.221904 | − | 0.233547i | ||||
\(514\) | −459.633 | −0.894227 | ||||||||
\(515\) | −29.3709 | − | 19.1475i | −0.0570309 | − | 0.0371795i | ||||
\(516\) | 230.764 | − | 234.730i | 0.447217 | − | 0.454903i | ||||
\(517\) | − | 168.693i | − | 0.326292i | ||||||
\(518\) | −94.0552 | −0.181574 | ||||||||
\(519\) | −331.857 | − | 326.251i | −0.639417 | − | 0.628614i | ||||
\(520\) | 89.3101 | + | 58.2230i | 0.171750 | + | 0.111967i | ||||
\(521\) | 522.885i | 1.00362i | 0.864979 | + | 0.501809i | \(0.167332\pi\) | ||||
−0.864979 | + | 0.501809i | \(0.832668\pi\) | |||||||
\(522\) | 159.051 | − | 2.71015i | 0.304695 | − | 0.00519186i | ||||
\(523\) | 978.533i | 1.87100i | 0.353325 | + | 0.935500i | \(0.385051\pi\) | ||||
−0.353325 | + | 0.935500i | \(0.614949\pi\) | |||||||
\(524\) | − | 308.621i | − | 0.588972i | ||||||
\(525\) | −288.993 | − | 109.283i | −0.550462 | − | 0.208157i | ||||
\(526\) | 566.487 | 1.07697 | ||||||||
\(527\) | 29.4135 | 0.0558130 | ||||||||
\(528\) | 97.5905 | − | 99.2676i | 0.184830 | − | 0.188007i | ||||
\(529\) | 23.0000 | 0.0434783 | ||||||||
\(530\) | −21.8721 | + | 33.5503i | −0.0412681 | + | 0.0633024i | ||||
\(531\) | −77.7057 | + | 1.32407i | −0.146338 | + | 0.00249354i | ||||
\(532\) | 50.4313i | 0.0947957i | ||||||||
\(533\) | 308.299 | 0.578421 | ||||||||
\(534\) | −105.961 | + | 107.782i | −0.198428 | + | 0.201838i | ||||
\(535\) | 336.795 | − | 516.621i | 0.629524 | − | 0.965646i | ||||
\(536\) | − | 37.2999i | − | 0.0695893i | ||||||
\(537\) | −515.088 | + | 523.940i | −0.959196 | + | 0.975679i | ||||
\(538\) | 129.452i | 0.240617i | ||||||||
\(539\) | 371.554i | 0.689340i | ||||||||
\(540\) | 62.4032 | + | 262.690i | 0.115561 | + | 0.486462i | ||||
\(541\) | −925.219 | −1.71020 | −0.855100 | − | 0.518462i | \(-0.826505\pi\) | ||||
−0.855100 | + | 0.518462i | \(0.826505\pi\) | |||||||
\(542\) | 148.748 | 0.274443 | ||||||||
\(543\) | 377.771 | + | 371.389i | 0.695711 | + | 0.683957i | ||||
\(544\) | 22.9211 | 0.0421344 | ||||||||
\(545\) | −377.005 | + | 578.300i | −0.691752 | + | 1.06110i | ||||
\(546\) | −93.9573 | − | 92.3700i | −0.172083 | − | 0.169176i | ||||
\(547\) | 540.020i | 0.987240i | 0.869678 | + | 0.493620i | \(0.164327\pi\) | ||||
−0.869678 | + | 0.493620i | \(0.835673\pi\) | |||||||
\(548\) | −34.2930 | −0.0625785 | ||||||||
\(549\) | −9.75583 | − | 572.540i | −0.0177702 | − | 1.04288i | ||||
\(550\) | −375.264 | + | 165.494i | −0.682298 | + | 0.300898i | ||||
\(551\) | 76.5002i | 0.138839i | ||||||||
\(552\) | −29.0191 | − | 28.5288i | −0.0525708 | − | 0.0516826i | ||||
\(553\) | − | 573.625i | − | 1.03730i | ||||||
\(554\) | 197.890i | 0.357201i | ||||||||
\(555\) | −51.9476 | − | 236.527i | −0.0935993 | − | 0.426175i | ||||
\(556\) | −8.85338 | −0.0159233 | ||||||||
\(557\) | −344.569 | −0.618616 | −0.309308 | − | 0.950962i | \(-0.600097\pi\) | ||||
−0.309308 | + | 0.950962i | \(0.600097\pi\) | |||||||
\(558\) | 1.57412 | + | 92.3804i | 0.00282101 | + | 0.165556i | ||||
\(559\) | −413.577 | −0.739852 | ||||||||
\(560\) | −69.0193 | − | 44.9951i | −0.123249 | − | 0.0803483i | ||||
\(561\) | −98.8572 | + | 100.556i | −0.176216 | + | 0.179244i | ||||
\(562\) | − | 220.276i | − | 0.391950i | ||||||
\(563\) | −144.496 | −0.256653 | −0.128326 | − | 0.991732i | \(-0.540961\pi\) | ||||
−0.128326 | + | 0.991732i | \(0.540961\pi\) | |||||||
\(564\) | 62.2199 | + | 61.1687i | 0.110319 | + | 0.108455i | ||||
\(565\) | 548.101 | − | 840.750i | 0.970090 | − | 1.48805i | ||||
\(566\) | − | 13.5865i | − | 0.0240043i | ||||||
\(567\) | −11.3683 | − | 333.489i | −0.0200499 | − | 0.588163i | ||||
\(568\) | 69.1891i | 0.121812i | ||||||||
\(569\) | 1086.99i | 1.91035i | 0.296041 | + | 0.955175i | \(0.404334\pi\) | ||||
−0.296041 | + | 0.955175i | \(0.595666\pi\) | |||||||
\(570\) | −126.823 | + | 27.8537i | −0.222497 | + | 0.0488661i | ||||
\(571\) | −927.563 | −1.62445 | −0.812227 | − | 0.583341i | \(-0.801745\pi\) | ||||
−0.812227 | + | 0.583341i | \(0.801745\pi\) | |||||||
\(572\) | −174.902 | −0.305773 | ||||||||
\(573\) | 216.293 | − | 220.010i | 0.377475 | − | 0.383962i | ||||
\(574\) | −238.255 | −0.415078 | ||||||||
\(575\) | 48.3791 | + | 109.702i | 0.0841376 | + | 0.190786i | ||||
\(576\) | 1.22667 | + | 71.9895i | 0.00212963 | + | 0.124982i | ||||
\(577\) | − | 24.5326i | − | 0.0425175i | −0.999774 | − | 0.0212587i | \(-0.993233\pi\) | ||
0.999774 | − | 0.0212587i | \(-0.00676738\pi\) | |||||||
\(578\) | 385.489 | 0.666936 | ||||||||
\(579\) | 129.066 | − | 131.284i | 0.222912 | − | 0.226742i | ||||
\(580\) | −104.697 | − | 68.2539i | −0.180512 | − | 0.117679i | ||||
\(581\) | − | 283.260i | − | 0.487539i | ||||||
\(582\) | −43.7980 | + | 44.5507i | −0.0752543 | + | 0.0765475i | ||||
\(583\) | − | 65.7039i | − | 0.112700i | ||||||
\(584\) | − | 51.7896i | − | 0.0886808i | ||||||
\(585\) | 180.396 | − | 287.298i | 0.308369 | − | 0.491108i | ||||
\(586\) | −395.523 | −0.674955 | ||||||||
\(587\) | 106.531 | 0.181484 | 0.0907419 | − | 0.995874i | \(-0.471076\pi\) | ||||
0.0907419 | + | 0.995874i | \(0.471076\pi\) | |||||||
\(588\) | −137.042 | − | 134.727i | −0.233065 | − | 0.229127i | ||||
\(589\) | −44.4332 | −0.0754384 | ||||||||
\(590\) | 51.1507 | + | 33.3461i | 0.0866960 | + | 0.0565188i | ||||
\(591\) | −657.672 | − | 646.561i | −1.11281 | − | 1.09401i | ||||
\(592\) | − | 64.5772i | − | 0.109083i | ||||||
\(593\) | 653.922 | 1.10274 | 0.551368 | − | 0.834262i | \(-0.314106\pi\) | ||||
0.551368 | + | 0.834262i | \(0.314106\pi\) | |||||||
\(594\) | −321.112 | − | 305.105i | −0.540593 | − | 0.513644i | ||||
\(595\) | 69.9152 | + | 45.5791i | 0.117505 | + | 0.0766035i | ||||
\(596\) | − | 402.984i | − | 0.676148i | ||||||
\(597\) | 21.3425 | + | 20.9819i | 0.0357496 | + | 0.0351456i | ||||
\(598\) | 51.1295i | 0.0855009i | ||||||||
\(599\) | 240.809i | 0.402018i | 0.979589 | + | 0.201009i | \(0.0644221\pi\) | ||||
−0.979589 | + | 0.201009i | \(0.935578\pi\) | |||||||
\(600\) | 75.0322 | − | 198.419i | 0.125054 | − | 0.330699i | ||||
\(601\) | 541.585 | 0.901140 | 0.450570 | − | 0.892741i | \(-0.351221\pi\) | ||||
0.450570 | + | 0.892741i | \(0.351221\pi\) | |||||||
\(602\) | 319.615 | 0.530921 | ||||||||
\(603\) | −118.670 | + | 2.02209i | −0.196800 | + | 0.00335338i | ||||
\(604\) | −192.354 | −0.318467 | ||||||||
\(605\) | 37.0517 | − | 56.8348i | 0.0612425 | − | 0.0939418i | ||||
\(606\) | 343.658 | − | 349.564i | 0.567092 | − | 0.576838i | ||||
\(607\) | 1061.86i | 1.74936i | 0.484704 | + | 0.874678i | \(0.338927\pi\) | ||||
−0.484704 | + | 0.874678i | \(0.661073\pi\) | |||||||
\(608\) | −34.6256 | −0.0569500 | ||||||||
\(609\) | 110.145 | + | 108.284i | 0.180861 | + | 0.177806i | ||||
\(610\) | −245.696 | + | 376.881i | −0.402780 | + | 0.617838i | ||||
\(611\) | − | 109.627i | − | 0.179422i | ||||||
\(612\) | −1.24259 | − | 72.9240i | −0.00203038 | − | 0.119157i | ||||
\(613\) | − | 862.389i | − | 1.40683i | −0.710778 | − | 0.703417i | \(-0.751657\pi\) | ||
0.710778 | − | 0.703417i | \(-0.248343\pi\) | |||||||
\(614\) | 56.7854i | 0.0924843i | ||||||||
\(615\) | −131.591 | − | 599.157i | −0.213968 | − | 0.974238i | ||||
\(616\) | 135.165 | 0.219424 | ||||||||
\(617\) | −531.839 | −0.861976 | −0.430988 | − | 0.902358i | \(-0.641835\pi\) | ||||
−0.430988 | + | 0.902358i | \(0.641835\pi\) | |||||||
\(618\) | −20.8566 | + | 21.2151i | −0.0337486 | + | 0.0343286i | ||||
\(619\) | 52.5720 | 0.0849306 | 0.0424653 | − | 0.999098i | \(-0.486479\pi\) | ||||
0.0424653 | + | 0.999098i | \(0.486479\pi\) | |||||||
\(620\) | 39.6435 | − | 60.8105i | 0.0639412 | − | 0.0980814i | ||||
\(621\) | −89.1918 | + | 93.8713i | −0.143626 | + | 0.151162i | ||||
\(622\) | 460.567i | 0.740462i | ||||||||
\(623\) | −146.758 | −0.235567 | ||||||||
\(624\) | 63.4202 | − | 64.5101i | 0.101635 | − | 0.103382i | ||||
\(625\) | −421.475 | + | 461.502i | −0.674360 | + | 0.738403i | ||||
\(626\) | 529.447i | 0.845761i | ||||||||
\(627\) | 149.338 | − | 151.904i | 0.238178 | − | 0.242271i | ||||
\(628\) | − | 377.862i | − | 0.601690i | ||||||
\(629\) | 65.4154i | 0.103999i | ||||||||
\(630\) | −139.411 | + | 222.026i | −0.221287 | + | 0.352422i | ||||
\(631\) | 260.306 | 0.412529 | 0.206265 | − | 0.978496i | \(-0.433869\pi\) | ||||
0.206265 | + | 0.978496i | \(0.433869\pi\) | |||||||
\(632\) | 393.845 | 0.623172 | ||||||||
\(633\) | −337.794 | − | 332.087i | −0.533639 | − | 0.524624i | ||||
\(634\) | −609.212 | −0.960903 | ||||||||
\(635\) | 166.688 | + | 108.667i | 0.262500 | + | 0.171129i | ||||
\(636\) | 24.2339 | + | 23.8245i | 0.0381036 | + | 0.0374599i | ||||
\(637\) | 241.458i | 0.379056i | ||||||||
\(638\) | 205.035 | 0.321372 | ||||||||
\(639\) | 220.126 | − | 3.75085i | 0.344486 | − | 0.00586988i | ||||
\(640\) | 30.8931 | − | 47.3879i | 0.0482705 | − | 0.0740436i | ||||
\(641\) | 487.122i | 0.759941i | 0.924999 | + | 0.379970i | \(0.124066\pi\) | ||||
−0.924999 | + | 0.379970i | \(0.875934\pi\) | |||||||
\(642\) | −373.163 | − | 366.859i | −0.581251 | − | 0.571431i | ||||
\(643\) | 249.806i | 0.388501i | 0.980952 | + | 0.194250i | \(0.0622274\pi\) | ||||
−0.980952 | + | 0.194250i | \(0.937773\pi\) | |||||||
\(644\) | − | 39.5132i | − | 0.0613559i | ||||||
\(645\) | 176.526 | + | 803.758i | 0.273684 | + | 1.24614i | ||||
\(646\) | 35.0750 | 0.0542957 | ||||||||
\(647\) | 422.416 | 0.652885 | 0.326442 | − | 0.945217i | \(-0.394150\pi\) | ||||
0.326442 | + | 0.945217i | \(0.394150\pi\) | |||||||
\(648\) | 228.970 | − | 7.80534i | 0.353348 | − | 0.0120453i | ||||
\(649\) | −100.172 | −0.154348 | ||||||||
\(650\) | −243.869 | + | 107.548i | −0.375184 | + | 0.165458i | ||||
\(651\) | −62.8939 | + | 63.9747i | −0.0966112 | + | 0.0982714i | ||||
\(652\) | 449.141i | 0.688866i | ||||||||
\(653\) | −350.697 | −0.537056 | −0.268528 | − | 0.963272i | \(-0.586537\pi\) | ||||
−0.268528 | + | 0.963272i | \(0.586537\pi\) | |||||||
\(654\) | 417.715 | + | 410.658i | 0.638708 | + | 0.627917i | ||||
\(655\) | 646.337 | + | 421.360i | 0.986774 | + | 0.643297i | ||||
\(656\) | − | 163.583i | − | 0.249365i | ||||||
\(657\) | −164.770 | + | 2.80760i | −0.250791 | + | 0.00427336i | ||||
\(658\) | 84.7204i | 0.128754i | ||||||||
\(659\) | 921.124i | 1.39776i | 0.715239 | + | 0.698880i | \(0.246318\pi\) | ||||
−0.715239 | + | 0.698880i | \(0.753682\pi\) | |||||||
\(660\) | 74.6532 | + | 339.910i | 0.113111 | + | 0.515016i | ||||
\(661\) | 170.099 | 0.257337 | 0.128668 | − | 0.991688i | \(-0.458930\pi\) | ||||
0.128668 | + | 0.991688i | \(0.458930\pi\) | |||||||
\(662\) | 779.674 | 1.17776 | ||||||||
\(663\) | −64.2434 | + | 65.3474i | −0.0968980 | + | 0.0985632i | ||||
\(664\) | 194.483 | 0.292897 | ||||||||
\(665\) | −105.617 | − | 68.8536i | −0.158822 | − | 0.103539i | ||||
\(666\) | −205.454 | + | 3.50084i | −0.308489 | + | 0.00525651i | ||||
\(667\) | − | 59.9383i | − | 0.0898625i | ||||||
\(668\) | 70.9333 | 0.106188 | ||||||||
\(669\) | 639.530 | − | 650.520i | 0.955949 | − | 0.972376i | ||||
\(670\) | 78.1160 | + | 50.9253i | 0.116591 | + | 0.0760079i | ||||
\(671\) | − | 738.073i | − | 1.09996i | ||||||
\(672\) | −49.0115 | + | 49.8537i | −0.0729338 | + | 0.0741871i | ||||
\(673\) | 66.6181i | 0.0989868i | 0.998774 | + | 0.0494934i | \(0.0157607\pi\) | ||||
−0.998774 | + | 0.0494934i | \(0.984239\pi\) | |||||||
\(674\) | 383.174i | 0.568508i | ||||||||
\(675\) | −635.342 | − | 227.960i | −0.941247 | − | 0.337718i | ||||
\(676\) | 224.338 | 0.331861 | ||||||||
\(677\) | 141.243 | 0.208631 | 0.104315 | − | 0.994544i | \(-0.466735\pi\) | ||||
0.104315 | + | 0.994544i | \(0.466735\pi\) | |||||||
\(678\) | −607.286 | − | 597.027i | −0.895703 | − | 0.880570i | ||||
\(679\) | −60.6614 | −0.0893394 | ||||||||
\(680\) | −31.2941 | + | 48.0030i | −0.0460207 | + | 0.0705927i | ||||
\(681\) | 66.1358 | + | 65.0184i | 0.0971157 | + | 0.0954749i | ||||
\(682\) | 119.089i | 0.174618i | ||||||||
\(683\) | 631.227 | 0.924197 | 0.462099 | − | 0.886829i | \(-0.347097\pi\) | ||||
0.462099 | + | 0.886829i | \(0.347097\pi\) | |||||||
\(684\) | 1.87711 | + | 110.162i | 0.00274431 | + | 0.161055i | ||||
\(685\) | 46.8201 | − | 71.8188i | 0.0683505 | − | 0.104845i | ||||
\(686\) | − | 472.069i | − | 0.688148i | ||||||
\(687\) | 216.014 | + | 212.365i | 0.314431 | + | 0.309119i | ||||
\(688\) | 219.444i | 0.318959i | ||||||||
\(689\) | − | 42.6984i | − | 0.0619715i | ||||||
\(690\) | 99.3667 | − | 21.8235i | 0.144010 | − | 0.0316283i | ||||
\(691\) | 1179.97 | 1.70762 | 0.853811 | − | 0.520582i | \(-0.174285\pi\) | ||||
0.853811 | + | 0.520582i | \(0.174285\pi\) | |||||||
\(692\) | 310.246 | 0.448333 | ||||||||
\(693\) | −7.32754 | − | 430.031i | −0.0105737 | − | 0.620536i | ||||
\(694\) | 142.762 | 0.205710 | ||||||||
\(695\) | 12.0875 | − | 18.5414i | 0.0173921 | − | 0.0266782i | ||||
\(696\) | −74.3465 | + | 75.6241i | −0.106820 | + | 0.108655i | ||||
\(697\) | 165.706i | 0.237742i | ||||||||
\(698\) | −412.602 | −0.591121 | ||||||||
\(699\) | 510.119 | + | 501.500i | 0.729783 | + | 0.717454i | ||||
\(700\) | 188.464 | − | 83.1136i | 0.269234 | − | 0.118734i | ||||
\(701\) | 36.1293i | 0.0515397i | 0.999668 | + | 0.0257698i | \(0.00820370\pi\) | ||||
−0.999668 | + | 0.0257698i | \(0.991796\pi\) | |||||||
\(702\) | −208.678 | − | 198.275i | −0.297262 | − | 0.282444i | ||||
\(703\) | − | 98.8192i | − | 0.140568i | ||||||
\(704\) | 92.8031i | 0.131823i | ||||||||
\(705\) | −213.052 | + | 46.7919i | −0.302202 | + | 0.0663715i | ||||
\(706\) | 891.874 | 1.26328 | ||||||||
\(707\) | 475.976 | 0.673233 | ||||||||
\(708\) | 36.3227 | − | 36.9469i | 0.0513033 | − | 0.0521849i | ||||
\(709\) | −932.937 | −1.31585 | −0.657924 | − | 0.753084i | \(-0.728565\pi\) | ||||
−0.657924 | + | 0.753084i | \(0.728565\pi\) | |||||||
\(710\) | −144.901 | − | 94.4635i | −0.204085 | − | 0.133047i | ||||
\(711\) | −21.3510 | − | 1253.02i | −0.0300295 | − | 1.76234i | ||||
\(712\) | − | 100.763i | − | 0.141521i | ||||||
\(713\) | 34.8136 | 0.0488270 | ||||||||
\(714\) | 49.6476 | − | 50.5008i | 0.0695345 | − | 0.0707295i | ||||
\(715\) | 238.793 | − | 366.293i | 0.333977 | − | 0.512298i | ||||
\(716\) | − | 489.820i | − | 0.684107i | ||||||
\(717\) | −665.693 | + | 677.133i | −0.928442 | + | 0.944397i | ||||
\(718\) | 607.064i | 0.845494i | ||||||||
\(719\) | 155.602i | 0.216415i | 0.994128 | + | 0.108207i | \(0.0345111\pi\) | ||||
−0.994128 | + | 0.108207i | \(0.965489\pi\) | |||||||
\(720\) | −152.440 | − | 95.7180i | −0.211723 | − | 0.132942i | ||||
\(721\) | −28.8870 | −0.0400652 | ||||||||
\(722\) | 457.545 | 0.633719 | ||||||||
\(723\) | −182.979 | − | 179.888i | −0.253084 | − | 0.248808i | ||||
\(724\) | −353.170 | −0.487804 | ||||||||
\(725\) | 285.884 | − | 126.077i | 0.394323 | − | 0.173899i | ||||
\(726\) | −41.0526 | − | 40.3591i | −0.0565463 | − | 0.0555910i | ||||
\(727\) | 1270.93i | 1.74818i | 0.485764 | + | 0.874090i | \(0.338541\pi\) | ||||
−0.485764 | + | 0.874090i | \(0.661459\pi\) | |||||||
\(728\) | 87.8387 | 0.120658 | ||||||||
\(729\) | −37.2457 | − | 728.048i | −0.0510915 | − | 0.998694i | ||||
\(730\) | 108.461 | + | 70.7081i | 0.148577 | + | 0.0968604i | ||||
\(731\) | − | 222.292i | − | 0.304093i | ||||||
\(732\) | 272.227 | + | 267.628i | 0.371895 | + | 0.365612i | ||||
\(733\) | − | 753.726i | − | 1.02828i | −0.857708 | − | 0.514138i | \(-0.828112\pi\) | ||
0.857708 | − | 0.514138i | \(-0.171888\pi\) | |||||||
\(734\) | 391.695i | 0.533645i | ||||||||
\(735\) | 469.257 | − | 103.061i | 0.638445 | − | 0.140219i | ||||
\(736\) | 27.1293 | 0.0368605 | ||||||||
\(737\) | −152.980 | −0.207571 | ||||||||
\(738\) | −520.443 | + | 8.86811i | −0.705207 | + | 0.0120164i | ||||
\(739\) | 1093.13 | 1.47920 | 0.739600 | − | 0.673047i | \(-0.235015\pi\) | ||||
0.739600 | + | 0.673047i | \(0.235015\pi\) | |||||||
\(740\) | 135.242 | + | 88.1670i | 0.182760 | + | 0.119145i | ||||
\(741\) | 97.0487 | − | 98.7165i | 0.130970 | − | 0.133221i | ||||
\(742\) | 32.9976i | 0.0444711i | ||||||||
\(743\) | 1038.88 | 1.39823 | 0.699114 | − | 0.715011i | \(-0.253578\pi\) | ||||
0.699114 | + | 0.715011i | \(0.253578\pi\) | |||||||
\(744\) | −43.9243 | − | 43.1823i | −0.0590381 | − | 0.0580407i | ||||
\(745\) | 843.958 | + | 550.193i | 1.13283 | + | 0.738514i | ||||
\(746\) | 91.0351i | 0.122031i | ||||||||
\(747\) | −10.5433 | − | 618.753i | −0.0141141 | − | 0.828317i | ||||
\(748\) | − | 94.0077i | − | 0.125679i | ||||||
\(749\) | − | 508.109i | − | 0.678384i | ||||||
\(750\) | 313.102 | + | 428.039i | 0.417470 | + | 0.570718i | ||||
\(751\) | −449.017 | −0.597892 | −0.298946 | − | 0.954270i | \(-0.596635\pi\) | ||||
−0.298946 | + | 0.954270i | \(0.596635\pi\) | |||||||
\(752\) | −58.1681 | −0.0773512 | ||||||||
\(753\) | 665.658 | − | 677.097i | 0.884008 | − | 0.899200i | ||||
\(754\) | 133.244 | 0.176717 | ||||||||
\(755\) | 262.620 | − | 402.842i | 0.347842 | − | 0.533565i | ||||
\(756\) | 161.268 | + | 153.228i | 0.213317 | + | 0.202683i | ||||
\(757\) | 318.876i | 0.421237i | 0.977568 | + | 0.210618i | \(0.0675477\pi\) | ||||
−0.977568 | + | 0.210618i | \(0.932452\pi\) | |||||||
\(758\) | 642.117 | 0.847120 | ||||||||
\(759\) | −117.007 | + | 119.018i | −0.154159 | + | 0.156808i | ||||
\(760\) | 47.2741 | − | 72.5153i | 0.0622028 | − | 0.0954149i | ||||
\(761\) | − | 230.754i | − | 0.303225i | −0.988440 | − | 0.151612i | \(-0.951553\pi\) | ||
0.988440 | − | 0.151612i | \(-0.0484466\pi\) | |||||||
\(762\) | 118.367 | − | 120.401i | 0.155337 | − | 0.158007i | ||||
\(763\) | 568.772i | 0.745442i | ||||||||
\(764\) | 205.683i | 0.269218i | ||||||||
\(765\) | 154.419 | + | 96.9604i | 0.201855 | + | 0.126746i | ||||
\(766\) | 955.765 | 1.24773 | ||||||||
\(767\) | −65.0978 | −0.0848733 | ||||||||
\(768\) | −34.2290 | − | 33.6508i | −0.0445691 | − | 0.0438161i | ||||
\(769\) | −828.980 | −1.07800 | −0.538998 | − | 0.842307i | \(-0.681197\pi\) | ||||
−0.538998 | + | 0.842307i | \(0.681197\pi\) | |||||||
\(770\) | −184.541 | + | 283.073i | −0.239663 | + | 0.367627i | ||||
\(771\) | −695.298 | − | 683.551i | −0.901813 | − | 0.886577i | ||||
\(772\) | 122.734i | 0.158982i | ||||||||
\(773\) | 765.288 | 0.990024 | 0.495012 | − | 0.868886i | \(-0.335164\pi\) | ||||
0.495012 | + | 0.868886i | \(0.335164\pi\) | |||||||
\(774\) | 698.165 | − | 11.8964i | 0.902022 | − | 0.0153700i | ||||
\(775\) | 73.2284 | + | 166.049i | 0.0944883 | + | 0.214256i | ||||
\(776\) | − | 41.6495i | − | 0.0536720i | ||||||
\(777\) | −142.279 | − | 139.876i | −0.183114 | − | 0.180020i | ||||
\(778\) | − | 542.812i | − | 0.697701i | ||||||
\(779\) | − | 250.323i | − | 0.321339i | ||||||
\(780\) | 48.5142 | + | 220.894i | 0.0621977 | + | 0.283198i | ||||
\(781\) | 283.769 | 0.363341 | ||||||||
\(782\) | −27.4815 | −0.0351425 | ||||||||
\(783\) | 244.630 | + | 232.435i | 0.312427 | + | 0.296852i | ||||
\(784\) | 128.118 | 0.163416 | ||||||||
\(785\) | 791.344 | + | 515.893i | 1.00808 | + | 0.657188i | ||||
\(786\) | 458.972 | − | 466.859i | 0.583934 | − | 0.593968i | ||||
\(787\) | 396.844i | 0.504249i | 0.967695 | + | 0.252124i | \(0.0811292\pi\) | ||||
−0.967695 | + | 0.252124i | \(0.918871\pi\) | |||||||
\(788\) | 614.844 | 0.780258 | ||||||||
\(789\) | 856.938 | + | 842.461i | 1.08611 | + | 1.06776i | ||||
\(790\) | −537.714 | + | 824.817i | −0.680651 | + | 1.04407i | ||||
\(791\) | − | 826.898i | − | 1.04538i | ||||||
\(792\) | 295.255 | − | 5.03101i | 0.372797 | − | 0.00635229i | ||||
\(793\) | − | 479.644i | − | 0.604848i | ||||||
\(794\) | 672.467i | 0.846936i | ||||||||
\(795\) | −82.9813 | + | 18.2249i | −0.104379 | + | 0.0229244i | ||||
\(796\) | −19.9527 | −0.0250662 | ||||||||
\(797\) | 918.440 | 1.15237 | 0.576186 | − | 0.817319i | \(-0.304540\pi\) | ||||
0.576186 | + | 0.817319i | \(0.304540\pi\) | |||||||
\(798\) | −74.9998 | + | 76.2886i | −0.0939847 | + | 0.0955998i | ||||
\(799\) | 58.9231 | 0.0737460 | ||||||||
\(800\) | 57.0649 | + | 129.397i | 0.0713311 | + | 0.161746i | ||||
\(801\) | −320.579 | + | 5.46252i | −0.400223 | + | 0.00681962i | ||||
\(802\) | − | 980.679i | − | 1.22279i | ||||||
\(803\) | −212.408 | −0.264518 | ||||||||
\(804\) | 55.4711 | − | 56.4244i | 0.0689939 | − | 0.0701796i | ||||
\(805\) | 82.7513 | + | 53.9472i | 0.102797 | + | 0.0670151i | ||||
\(806\) | 77.3915i | 0.0960193i | ||||||||
\(807\) | −192.517 | + | 195.825i | −0.238558 | + | 0.242658i | ||||
\(808\) | 326.800i | 0.404455i | ||||||||
\(809\) | 371.815i | 0.459598i | 0.973238 | + | 0.229799i | \(0.0738068\pi\) | ||||
−0.973238 | + | 0.229799i | \(0.926193\pi\) | |||||||
\(810\) | −296.265 | + | 490.181i | −0.365759 | + | 0.605162i | ||||
\(811\) | 231.707 | 0.285706 | 0.142853 | − | 0.989744i | \(-0.454372\pi\) | ||||
0.142853 | + | 0.989744i | \(0.454372\pi\) | |||||||
\(812\) | −102.972 | −0.126813 | ||||||||
\(813\) | 225.015 | + | 221.213i | 0.276771 | + | 0.272095i | ||||
\(814\) | −264.854 | −0.325374 | ||||||||
\(815\) | −940.622 | − | 613.210i | −1.15414 | − | 0.752405i | ||||
\(816\) | 34.6733 | + | 34.0875i | 0.0424918 | + | 0.0417739i | ||||
\(817\) | 335.804i | 0.411021i | ||||||||
\(818\) | −29.5968 | −0.0361819 | ||||||||
\(819\) | −4.76188 | − | 279.461i | −0.00581426 | − | 0.341222i | ||||
\(820\) | 342.587 | + | 223.339i | 0.417789 | + | 0.272365i | ||||
\(821\) | − | 787.739i | − | 0.959487i | −0.877409 | − | 0.479743i | \(-0.840730\pi\) | ||
0.877409 | − | 0.479743i | \(-0.159270\pi\) | |||||||
\(822\) | −51.8758 | − | 50.9994i | −0.0631093 | − | 0.0620431i | ||||
\(823\) | 753.996i | 0.916156i | 0.888912 | + | 0.458078i | \(0.151462\pi\) | ||||
−0.888912 | + | 0.458078i | \(0.848538\pi\) | |||||||
\(824\) | − | 19.8335i | − | 0.0240698i | ||||||
\(825\) | −813.788 | − | 307.734i | −0.986410 | − | 0.373011i | ||||
\(826\) | 50.3079 | 0.0609055 | ||||||||
\(827\) | 427.334 | 0.516728 | 0.258364 | − | 0.966048i | \(-0.416817\pi\) | ||||
0.258364 | + | 0.966048i | \(0.416817\pi\) | |||||||
\(828\) | −1.47073 | − | 86.3124i | −0.00177624 | − | 0.104242i | ||||
\(829\) | 383.690 | 0.462835 | 0.231418 | − | 0.972855i | \(-0.425664\pi\) | ||||
0.231418 | + | 0.972855i | \(0.425664\pi\) | |||||||
\(830\) | −265.527 | + | 407.301i | −0.319913 | + | 0.490724i | ||||
\(831\) | −294.295 | + | 299.352i | −0.354145 | + | 0.360231i | ||||
\(832\) | 60.3091i | 0.0724869i | ||||||||
\(833\) | −129.781 | −0.155799 | ||||||||
\(834\) | −13.3927 | − | 13.1665i | −0.0160584 | − | 0.0157871i | ||||
\(835\) | −96.8449 | + | 148.554i | −0.115982 | + | 0.177908i | ||||
\(836\) | 142.012i | 0.169871i | ||||||||
\(837\) | −135.004 | + | 142.087i | −0.161295 | + | 0.169758i | ||||
\(838\) | 401.468i | 0.479079i | ||||||||
\(839\) | − | 599.744i | − | 0.714832i | −0.933945 | − | 0.357416i | \(-0.883658\pi\) | ||
0.933945 | − | 0.357416i | \(-0.116342\pi\) | |||||||
\(840\) | −37.4920 | − | 170.708i | −0.0446334 | − | 0.203224i | ||||
\(841\) | 684.800 | 0.814269 | ||||||||
\(842\) | −1113.40 | −1.32233 | ||||||||
\(843\) | 327.587 | − | 333.217i | 0.388597 | − | 0.395275i | ||||
\(844\) | 315.796 | 0.374166 | ||||||||
\(845\) | −306.287 | + | 469.824i | −0.362470 | + | 0.556005i | ||||
\(846\) | 3.15339 | + | 185.063i | 0.00372741 | + | 0.218750i | ||||
\(847\) | − | 55.8984i | − | 0.0659958i | ||||||
\(848\) | −22.6558 | −0.0267167 | ||||||||
\(849\) | 20.2053 | − | 20.5526i | 0.0237990 | − | 0.0242080i | ||||
\(850\) | −57.8056 | − | 131.077i | −0.0680066 | − | 0.154208i | ||||
\(851\) | 77.4254i | 0.0909817i | ||||||||
\(852\) | −102.896 | + | 104.664i | −0.120770 | + | 0.122845i | ||||
\(853\) | 721.642i | 0.846004i | 0.906129 | + | 0.423002i | \(0.139024\pi\) | ||||
−0.906129 | + | 0.423002i | \(0.860976\pi\) | |||||||
\(854\) | 370.672i | 0.434042i | ||||||||
\(855\) | −233.272 | − | 146.472i | −0.272832 | − | 0.171313i | ||||
\(856\) | 348.862 | 0.407549 | ||||||||
\(857\) | 964.907 | 1.12591 | 0.562956 | − | 0.826487i | \(-0.309664\pi\) | ||||
0.562956 | + | 0.826487i | \(0.309664\pi\) | |||||||
\(858\) | −264.579 | − | 260.109i | −0.308367 | − | 0.303157i | ||||
\(859\) | −370.171 | −0.430932 | −0.215466 | − | 0.976511i | \(-0.569127\pi\) | ||||
−0.215466 | + | 0.976511i | \(0.569127\pi\) | |||||||
\(860\) | −459.575 | − | 299.606i | −0.534389 | − | 0.348379i | ||||
\(861\) | −360.414 | − | 354.325i | −0.418599 | − | 0.411527i | ||||
\(862\) | − | 640.609i | − | 0.743166i | ||||||
\(863\) | −707.264 | −0.819541 | −0.409770 | − | 0.912189i | \(-0.634391\pi\) | ||||
−0.409770 | + | 0.912189i | \(0.634391\pi\) | |||||||
\(864\) | −105.205 | + | 110.725i | −0.121765 | + | 0.128153i | ||||
\(865\) | −423.578 | + | 649.740i | −0.489686 | + | 0.751144i | ||||
\(866\) | − | 328.875i | − | 0.379763i | ||||||
\(867\) | 583.139 | + | 573.287i | 0.672593 | + | 0.661230i | ||||
\(868\) | − | 59.8086i | − | 0.0689039i | ||||||
\(869\) | − | 1615.30i | − | 1.85880i | ||||||
\(870\) | −56.8724 | − | 258.951i | −0.0653706 | − | 0.297645i | ||||
\(871\) | −99.4157 | −0.114140 | ||||||||
\(872\) | −390.513 | −0.447836 | ||||||||
\(873\) | −132.509 | + | 2.25789i | −0.151785 | + | 0.00258635i | ||||
\(874\) | 41.5146 | 0.0474995 | ||||||||
\(875\) | −83.2461 | + | 508.168i | −0.0951384 | + | 0.580764i | ||||
\(876\) | 77.0198 | − | 78.3433i | 0.0879221 | − | 0.0894330i | ||||
\(877\) | 811.465i | 0.925274i | 0.886548 | + | 0.462637i | \(0.153097\pi\) | ||||
−0.886548 | + | 0.462637i | \(0.846903\pi\) | |||||||
\(878\) | 320.464 | 0.364993 | ||||||||
\(879\) | −598.318 | − | 588.209i | −0.680680 | − | 0.669180i | ||||
\(880\) | −194.355 | − | 126.704i | −0.220858 | − | 0.143981i | ||||
\(881\) | 903.123i | 1.02511i | 0.858654 | + | 0.512556i | \(0.171301\pi\) | ||||
−0.858654 | + | 0.512556i | \(0.828699\pi\) | |||||||
\(882\) | −6.94547 | − | 407.609i | −0.00787469 | − | 0.462142i | ||||
\(883\) | − | 366.848i | − | 0.415457i | −0.978187 | − | 0.207728i | \(-0.933393\pi\) | ||
0.978187 | − | 0.207728i | \(-0.0666070\pi\) | |||||||
\(884\) | − | 61.0919i | − | 0.0691085i | ||||||
\(885\) | 27.7856 | + | 126.513i | 0.0313961 | + | 0.142953i | ||||
\(886\) | −779.673 | −0.879992 | ||||||||
\(887\) | −1239.49 | −1.39739 | −0.698696 | − | 0.715419i | \(-0.746236\pi\) | ||||
−0.698696 | + | 0.715419i | \(0.746236\pi\) | |||||||
\(888\) | 96.0372 | − | 97.6875i | 0.108150 | − | 0.110008i | ||||
\(889\) | 163.941 | 0.184411 | ||||||||
\(890\) | 211.024 | + | 137.571i | 0.237106 | + | 0.154574i | ||||
\(891\) | −32.0125 | − | 939.086i | −0.0359287 | − | 1.05397i | ||||
\(892\) | 608.157i | 0.681791i | ||||||||
\(893\) | −89.0116 | −0.0996771 | ||||||||
\(894\) | 599.305 | − | 609.604i | 0.670364 | − | 0.681884i | ||||
\(895\) | 1025.82 | + | 668.749i | 1.14616 | + | 0.747206i | ||||
\(896\) | − | 46.6072i | − | 0.0520170i | ||||||
\(897\) | −76.0382 | + | 77.3449i | −0.0847694 | + | 0.0862262i | ||||
\(898\) | − | 866.384i | − | 0.964793i | ||||||
\(899\) | − | 90.7248i | − | 0.100918i | ||||||
\(900\) | 408.586 | − | 188.568i | 0.453984 | − | 0.209520i | ||||
\(901\) | 22.9498 | 0.0254715 | ||||||||
\(902\) | −670.913 | −0.743806 | ||||||||
\(903\) | 483.489 | + | 475.320i | 0.535425 | + | 0.526379i | ||||
\(904\) | 567.739 | 0.628030 | ||||||||
\(905\) | 482.181 | − | 739.634i | 0.532797 | − | 0.817275i | ||||
\(906\) | −290.979 | − | 286.063i | −0.321169 | − | 0.315743i | ||||
\(907\) | 778.803i | 0.858658i | 0.903148 | + | 0.429329i | \(0.141250\pi\) | ||||
−0.903148 | + | 0.429329i | \(0.858750\pi\) | |||||||
\(908\) | −61.8289 | −0.0680935 | ||||||||
\(909\) | 1039.72 | − | 17.7163i | 1.14381 | − | 0.0194899i | ||||
\(910\) | −119.926 | + | 183.958i | −0.131787 | + | 0.202152i | ||||
\(911\) | 507.214i | 0.556767i | 0.960470 | + | 0.278383i | \(0.0897986\pi\) | ||||
−0.960470 | + | 0.278383i | \(0.910201\pi\) | |||||||
\(912\) | −52.3789 | − | 51.4940i | −0.0574330 | − | 0.0564627i | ||||
\(913\) | − | 797.646i | − | 0.873654i | ||||||
\(914\) | 200.575i | 0.219447i | ||||||||
\(915\) | −932.155 | + | 204.726i | −1.01875 | + | 0.223744i | ||||
\(916\) | −201.947 | −0.220466 | ||||||||
\(917\) | 635.688 | 0.693226 | ||||||||
\(918\) | 106.570 | − | 112.162i | 0.116090 | − | 0.122181i | ||||
\(919\) | −465.847 | −0.506906 | −0.253453 | − | 0.967348i | \(-0.581566\pi\) | ||||
−0.253453 | + | 0.967348i | \(0.581566\pi\) | |||||||
\(920\) | −37.0395 | + | 56.8161i | −0.0402604 | + | 0.0617567i | ||||
\(921\) | −84.4493 | + | 85.9006i | −0.0916931 | + | 0.0932688i | ||||
\(922\) | − | 654.823i | − | 0.710220i | ||||||
\(923\) | 184.410 | 0.199795 | ||||||||
\(924\) | 204.468 | + | 201.014i | 0.221286 | + | 0.217547i | ||||
\(925\) | −369.291 | + | 162.860i | −0.399234 | + | 0.176065i | ||||
\(926\) | 850.573i | 0.918545i | ||||||||
\(927\) | −63.1007 | + | 1.07521i | −0.0680698 | + | 0.00115988i | ||||
\(928\) | − | 70.6994i | − | 0.0761847i | ||||||
\(929\) | − | 1334.99i | − | 1.43702i | −0.695518 | − | 0.718509i | \(-0.744825\pi\) | ||
0.695518 | − | 0.718509i | \(-0.255175\pi\) | |||||||
\(930\) | 150.405 | − | 33.0329i | 0.161726 | − | 0.0355192i | ||||
\(931\) | 196.052 | 0.210582 | ||||||||
\(932\) | −476.899 | −0.511694 | ||||||||
\(933\) | −684.941 | + | 696.711i | −0.734127 | + | 0.746743i | ||||
\(934\) | −793.288 | −0.849345 | ||||||||
\(935\) | 196.878 | + | 128.348i | 0.210564 | + | 0.137271i | ||||
\(936\) | 191.875 | − | 3.26946i | 0.204994 | − | 0.00349301i | ||||
\(937\) | − | 1173.07i | − | 1.25194i | −0.779846 | − | 0.625971i | \(-0.784703\pi\) | ||
0.779846 | − | 0.625971i | \(-0.215297\pi\) | |||||||
\(938\) | 76.8290 | 0.0819073 | ||||||||
\(939\) | −787.376 | + | 800.906i | −0.838526 | + | 0.852935i | ||||
\(940\) | 79.4166 | − | 121.820i | 0.0844858 | − | 0.129595i | ||||
\(941\) | − | 686.330i | − | 0.729362i | −0.931132 | − | 0.364681i | \(-0.881178\pi\) | ||
0.931132 | − | 0.364681i | \(-0.118822\pi\) | |||||||
\(942\) | 561.943 | − | 571.600i | 0.596543 | − | 0.606794i | ||||
\(943\) | 196.129i | 0.207984i | ||||||||
\(944\) | 34.5409i | 0.0365899i | ||||||||
\(945\) | −541.079 | + | 128.536i | −0.572571 | + | 0.136017i | ||||
\(946\) | 900.018 | 0.951393 | ||||||||
\(947\) | 91.3092 | 0.0964194 | 0.0482097 | − | 0.998837i | \(-0.484648\pi\) | ||||
0.0482097 | + | 0.998837i | \(0.484648\pi\) | |||||||
\(948\) | 595.778 | + | 585.713i | 0.628458 | + | 0.617841i | ||||
\(949\) | −138.035 | −0.145454 | ||||||||
\(950\) | 87.3235 | + | 198.010i | 0.0919195 | + | 0.208431i | ||||
\(951\) | −921.570 | − | 906.001i | −0.969054 | − | 0.952682i | ||||
\(952\) | 47.2122i | 0.0495926i | ||||||||
\(953\) | 56.2715 | 0.0590467 | 0.0295234 | − | 0.999564i | \(-0.490601\pi\) | ||||
0.0295234 | + | 0.999564i | \(0.490601\pi\) | |||||||
\(954\) | 1.22821 | + | 72.0797i | 0.00128743 | + | 0.0755553i | ||||
\(955\) | −430.755 | − | 280.818i | −0.451053 | − | 0.294050i | ||||
\(956\) | − | 633.037i | − | 0.662173i | ||||||
\(957\) | 310.162 | + | 304.922i | 0.324098 | + | 0.318622i | ||||
\(958\) | − | 233.709i | − | 0.243955i | ||||||
\(959\) | − | 70.6356i | − | 0.0736555i | ||||||
\(960\) | 117.207 | − | 25.7416i | 0.122090 | − | 0.0268142i | ||||
\(961\) | −908.305 | −0.945166 | ||||||||
\(962\) | −172.118 | −0.178917 | ||||||||
\(963\) | −18.9124 | − | 1109.91i | −0.0196390 | − | 1.15256i | ||||
\(964\) | 171.064 | 0.177452 | ||||||||
\(965\) | −257.039 | − | 167.569i | −0.266362 | − | 0.173646i | ||||
\(966\) | 58.7627 | − | 59.7725i | 0.0608310 | − | 0.0618763i | ||||
\(967\) | − | 301.973i | − | 0.312279i | −0.987735 | − | 0.156139i | \(-0.950095\pi\) | ||
0.987735 | − | 0.156139i | \(-0.0499049\pi\) | |||||||
\(968\) | 38.3792 | 0.0396480 | ||||||||
\(969\) | 53.0588 | + | 52.1624i | 0.0547562 | + | 0.0538312i | ||||
\(970\) | 87.2253 | + | 56.8639i | 0.0899230 | + | 0.0586225i | ||||
\(971\) | 708.304i | 0.729458i | 0.931114 | + | 0.364729i | \(0.118838\pi\) | ||||
−0.931114 | + | 0.364729i | \(0.881162\pi\) | |||||||
\(972\) | 357.976 | + | 328.709i | 0.368288 | + | 0.338178i | ||||
\(973\) | − | 18.2359i | − | 0.0187419i | ||||||
\(974\) | 948.750i | 0.974076i | ||||||||
\(975\) | −528.849 | − | 199.984i | −0.542409 | − | 0.205112i | ||||
\(976\) | −254.499 | −0.260757 | ||||||||
\(977\) | −1100.65 | −1.12657 | −0.563283 | − | 0.826264i | \(-0.690462\pi\) | ||||
−0.563283 | + | 0.826264i | \(0.690462\pi\) | |||||||
\(978\) | −667.947 | + | 679.426i | −0.682973 | + | 0.694709i | ||||
\(979\) | −413.264 | −0.422129 | ||||||||
\(980\) | −174.919 | + | 268.313i | −0.178488 | + | 0.273789i | ||||
\(981\) | 21.1703 | + | 1242.42i | 0.0215804 | + | 1.26649i | ||||
\(982\) | − | 642.862i | − | 0.654645i | ||||||
\(983\) | −211.406 | −0.215062 | −0.107531 | − | 0.994202i | \(-0.534294\pi\) | ||||
−0.107531 | + | 0.994202i | \(0.534294\pi\) | |||||||
\(984\) | 243.276 | − | 247.456i | 0.247231 | − | 0.251480i | ||||
\(985\) | −839.443 | + | 1287.65i | −0.852227 | + | 1.30726i | ||||
\(986\) | 71.6170i | 0.0726339i | ||||||||
\(987\) | −125.993 | + | 128.159i | −0.127653 | + | 0.129847i | ||||
\(988\) | 92.2879i | 0.0934088i | ||||||||
\(989\) | − | 263.104i | − | 0.266030i | ||||||
\(990\) | −392.574 | + | 625.212i | −0.396539 | + | 0.631528i | ||||
\(991\) | −417.092 | −0.420880 | −0.210440 | − | 0.977607i | \(-0.567490\pi\) | ||||
−0.210440 | + | 0.977607i | \(0.567490\pi\) | |||||||
\(992\) | 41.0639 | 0.0413951 | ||||||||
\(993\) | 1179.43 | + | 1159.51i | 1.18775 | + | 1.16768i | ||||
\(994\) | −142.513 | −0.143374 | ||||||||
\(995\) | 27.2413 | − | 41.7863i | 0.0273782 | − | 0.0419962i | ||||
\(996\) | 294.200 | + | 289.229i | 0.295381 | + | 0.290391i | ||||
\(997\) | 1508.12i | 1.51266i | 0.654189 | + | 0.756331i | \(0.273010\pi\) | ||||
−0.654189 | + | 0.756331i | \(0.726990\pi\) | |||||||
\(998\) | 1136.00 | 1.13828 | ||||||||
\(999\) | −316.001 | − | 300.248i | −0.316317 | − | 0.300549i |
(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 | 690.3.b.a.599.11 | ✓ | 88 | |
3.2 | odd | 2 | inner | 690.3.b.a.599.77 | yes | 88 | |
5.4 | even | 2 | inner | 690.3.b.a.599.78 | yes | 88 | |
15.14 | odd | 2 | inner | 690.3.b.a.599.12 | yes | 88 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
690.3.b.a.599.11 | ✓ | 88 | 1.1 | even | 1 | trivial | |
690.3.b.a.599.12 | yes | 88 | 15.14 | odd | 2 | inner | |
690.3.b.a.599.77 | yes | 88 | 3.2 | odd | 2 | inner | |
690.3.b.a.599.78 | yes | 88 | 5.4 | even | 2 | inner |