Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [69,2,Mod(4,69)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(69, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("69.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 69 = 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 69.e (of order \(11\), degree \(10\), 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: | \(0.550967773947\) |
Analytic rank: | \(0\) |
Dimension: | \(10\) |
Coefficient field: | \(\Q(\zeta_{22})\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{10} - x^{9} + x^{8} - x^{7} + x^{6} - x^{5} + x^{4} - x^{3} + x^{2} - x + 1 \) |
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 25.1 | ||
Root | \(-0.841254 - 0.540641i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 69.25 |
Dual form | 69.2.e.b.58.1 |
$q$-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 \(\left(\mathbb{Z}/69\mathbb{Z}\right)^\times\).
\(n\) | \(28\) | \(47\) |
\(\chi(n)\) | \(e\left(\frac{1}{11}\right)\) | \(1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.34125 | + | 0.861971i | 0.948409 | + | 0.609506i | 0.920767 | − | 0.390112i | \(-0.127564\pi\) |
0.0276421 | + | 0.999618i | \(0.491200\pi\) | |||||||
\(3\) | 0.142315 | + | 0.989821i | 0.0821655 | + | 0.571474i | ||||
\(4\) | 0.225136 | + | 0.492980i | 0.112568 | + | 0.246490i | ||||
\(5\) | −2.43560 | − | 0.715158i | −1.08924 | − | 0.319828i | −0.312668 | − | 0.949862i | \(-0.601223\pi\) |
−0.776568 | + | 0.630034i | \(0.783041\pi\) | |||||||
\(6\) | −0.662317 | + | 1.45027i | −0.270390 | + | 0.592071i | ||||
\(7\) | 0.729022 | − | 0.841336i | 0.275544 | − | 0.317995i | −0.601063 | − | 0.799202i | \(-0.705256\pi\) |
0.876607 | + | 0.481207i | \(0.159801\pi\) | |||||||
\(8\) | 0.330830 | − | 2.30097i | 0.116966 | − | 0.813517i | ||||
\(9\) | −0.959493 | + | 0.281733i | −0.319831 | + | 0.0939109i | ||||
\(10\) | −2.65032 | − | 3.05863i | −0.838104 | − | 0.967224i | ||||
\(11\) | −1.19537 | + | 0.768216i | −0.360417 | + | 0.231626i | −0.708299 | − | 0.705912i | \(-0.750537\pi\) |
0.347882 | + | 0.937538i | \(0.386901\pi\) | |||||||
\(12\) | −0.455922 | + | 0.293003i | −0.131613 | + | 0.0845828i | ||||
\(13\) | 2.76921 | + | 3.19584i | 0.768042 | + | 0.886368i | 0.996186 | − | 0.0872599i | \(-0.0278111\pi\) |
−0.228144 | + | 0.973627i | \(0.573266\pi\) | |||||||
\(14\) | 1.70301 | − | 0.500049i | 0.455149 | − | 0.133644i | ||||
\(15\) | 0.361256 | − | 2.51259i | 0.0932759 | − | 0.648748i | ||||
\(16\) | 3.13691 | − | 3.62019i | 0.784228 | − | 0.905047i | ||||
\(17\) | −2.04342 | + | 4.47447i | −0.495602 | + | 1.08522i | 0.482271 | + | 0.876022i | \(0.339812\pi\) |
−0.977874 | + | 0.209196i | \(0.932915\pi\) | |||||||
\(18\) | −1.52977 | − | 0.449181i | −0.360570 | − | 0.105873i | ||||
\(19\) | −2.40533 | − | 5.26695i | −0.551821 | − | 1.20832i | −0.955926 | − | 0.293608i | \(-0.905144\pi\) |
0.404105 | − | 0.914713i | \(-0.367583\pi\) | |||||||
\(20\) | −0.195785 | − | 1.36171i | −0.0437788 | − | 0.304488i | ||||
\(21\) | 0.936524 | + | 0.601867i | 0.204366 | + | 0.131338i | ||||
\(22\) | −2.26547 | −0.483000 | ||||||||
\(23\) | −2.44275 | + | 4.12710i | −0.509348 | + | 0.860561i | ||||
\(24\) | 2.32463 | 0.474514 | ||||||||
\(25\) | 1.21445 | + | 0.780481i | 0.242890 | + | 0.156096i | ||||
\(26\) | 0.959493 | + | 6.67342i | 0.188172 | + | 1.30877i | ||||
\(27\) | −0.415415 | − | 0.909632i | −0.0799467 | − | 0.175059i | ||||
\(28\) | 0.578892 | + | 0.169978i | 0.109400 | + | 0.0321228i | ||||
\(29\) | 2.66820 | − | 5.84254i | 0.495472 | − | 1.08493i | −0.482443 | − | 0.875928i | \(-0.660250\pi\) |
0.977915 | − | 0.209005i | \(-0.0670224\pi\) | |||||||
\(30\) | 2.65032 | − | 3.05863i | 0.483880 | − | 0.558427i | ||||
\(31\) | −1.05906 | + | 7.36593i | −0.190213 | + | 1.32296i | 0.641229 | + | 0.767349i | \(0.278425\pi\) |
−0.831442 | + | 0.555611i | \(0.812484\pi\) | |||||||
\(32\) | 2.86695 | − | 0.841812i | 0.506810 | − | 0.148813i | ||||
\(33\) | −0.930515 | − | 1.07387i | −0.161982 | − | 0.186937i | ||||
\(34\) | −6.59761 | + | 4.24002i | −1.13148 | + | 0.727158i | ||||
\(35\) | −2.37730 | + | 1.52780i | −0.401837 | + | 0.258245i | ||||
\(36\) | −0.354905 | − | 0.409583i | −0.0591509 | − | 0.0682638i | ||||
\(37\) | 7.94159 | − | 2.33186i | 1.30559 | − | 0.383355i | 0.446317 | − | 0.894875i | \(-0.352735\pi\) |
0.859272 | + | 0.511519i | \(0.170917\pi\) | |||||||
\(38\) | 1.31379 | − | 9.13764i | 0.213126 | − | 1.48232i | ||||
\(39\) | −2.76921 | + | 3.19584i | −0.443429 | + | 0.511745i | ||||
\(40\) | −2.45133 | + | 5.36767i | −0.387589 | + | 0.848702i | ||||
\(41\) | 4.41546 | + | 1.29650i | 0.689579 | + | 0.202479i | 0.607704 | − | 0.794164i | \(-0.292091\pi\) |
0.0818753 | + | 0.996643i | \(0.473909\pi\) | |||||||
\(42\) | 0.737323 | + | 1.61451i | 0.113771 | + | 0.249125i | ||||
\(43\) | −0.288111 | − | 2.00386i | −0.0439365 | − | 0.305585i | −0.999926 | − | 0.0121835i | \(-0.996122\pi\) |
0.955989 | − | 0.293402i | \(-0.0947873\pi\) | |||||||
\(44\) | −0.647836 | − | 0.416339i | −0.0976650 | − | 0.0627655i | ||||
\(45\) | 2.53843 | 0.378407 | ||||||||
\(46\) | −6.83379 | + | 3.42992i | −1.00759 | + | 0.505713i | ||||
\(47\) | 2.61810 | 0.381888 | 0.190944 | − | 0.981601i | \(-0.438845\pi\) | ||||
0.190944 | + | 0.981601i | \(0.438845\pi\) | |||||||
\(48\) | 4.02977 | + | 2.58978i | 0.581647 | + | 0.373802i | ||||
\(49\) | 0.819830 | + | 5.70204i | 0.117119 | + | 0.814578i | ||||
\(50\) | 0.956135 | + | 2.09364i | 0.135218 | + | 0.296086i | ||||
\(51\) | −4.71973 | − | 1.38584i | −0.660895 | − | 0.194056i | ||||
\(52\) | −0.952036 | + | 2.08467i | −0.132024 | + | 0.289092i | ||||
\(53\) | 6.82982 | − | 7.88203i | 0.938148 | − | 1.08268i | −0.0582855 | − | 0.998300i | \(-0.518563\pi\) |
0.996434 | − | 0.0843807i | \(-0.0268912\pi\) | |||||||
\(54\) | 0.226900 | − | 1.57812i | 0.0308772 | − | 0.214755i | ||||
\(55\) | 3.46084 | − | 1.01619i | 0.466659 | − | 0.137024i | ||||
\(56\) | −1.69471 | − | 1.95580i | −0.226465 | − | 0.261355i | ||||
\(57\) | 4.87102 | − | 3.13042i | 0.645183 | − | 0.414634i | ||||
\(58\) | 8.61483 | − | 5.53642i | 1.13118 | − | 0.726967i | ||||
\(59\) | −7.84439 | − | 9.05291i | −1.02125 | − | 1.17859i | −0.983796 | − | 0.179290i | \(-0.942620\pi\) |
−0.0374567 | − | 0.999298i | \(-0.511926\pi\) | |||||||
\(60\) | 1.31999 | − | 0.387584i | 0.170410 | − | 0.0500369i | ||||
\(61\) | −1.58058 | + | 10.9932i | −0.202373 | + | 1.40753i | 0.594844 | + | 0.803841i | \(0.297214\pi\) |
−0.797217 | + | 0.603693i | \(0.793695\pi\) | |||||||
\(62\) | −7.76969 | + | 8.96670i | −0.986752 | + | 1.13877i | ||||
\(63\) | −0.462460 | + | 1.01265i | −0.0582645 | + | 0.127581i | ||||
\(64\) | −4.62139 | − | 1.35696i | −0.577674 | − | 0.169620i | ||||
\(65\) | −4.45918 | − | 9.76424i | −0.553093 | − | 1.21110i | ||||
\(66\) | −0.322410 | − | 2.24241i | −0.0396860 | − | 0.276022i | ||||
\(67\) | −9.58188 | − | 6.15790i | −1.17061 | − | 0.752307i | −0.196975 | − | 0.980408i | \(-0.563112\pi\) |
−0.973637 | + | 0.228101i | \(0.926748\pi\) | |||||||
\(68\) | −2.66587 | −0.323284 | ||||||||
\(69\) | −4.43274 | − | 1.83053i | −0.533639 | − | 0.220370i | ||||
\(70\) | −4.50548 | −0.538508 | ||||||||
\(71\) | 3.26126 | + | 2.09588i | 0.387040 | + | 0.248735i | 0.719662 | − | 0.694325i | \(-0.244297\pi\) |
−0.332622 | + | 0.943060i | \(0.607933\pi\) | |||||||
\(72\) | 0.330830 | + | 2.30097i | 0.0389887 | + | 0.271172i | ||||
\(73\) | −5.12376 | − | 11.2195i | −0.599691 | − | 1.31314i | −0.929406 | − | 0.369059i | \(-0.879680\pi\) |
0.329715 | − | 0.944081i | \(-0.393047\pi\) | |||||||
\(74\) | 12.6617 | + | 3.71780i | 1.47189 | + | 0.432186i | ||||
\(75\) | −0.599702 | + | 1.31316i | −0.0692476 | + | 0.151631i | ||||
\(76\) | 2.05497 | − | 2.37156i | 0.235721 | − | 0.272037i | ||||
\(77\) | −0.225121 | + | 1.56575i | −0.0256550 | + | 0.178434i | ||||
\(78\) | −6.46894 | + | 1.89945i | −0.732464 | + | 0.215071i | ||||
\(79\) | −3.56932 | − | 4.11922i | −0.401580 | − | 0.463448i | 0.518558 | − | 0.855043i | \(-0.326469\pi\) |
−0.920138 | + | 0.391594i | \(0.871924\pi\) | |||||||
\(80\) | −10.2293 | + | 6.57396i | −1.14367 | + | 0.734991i | ||||
\(81\) | 0.841254 | − | 0.540641i | 0.0934726 | − | 0.0600712i | ||||
\(82\) | 4.80471 | + | 5.54493i | 0.530591 | + | 0.612335i | ||||
\(83\) | 1.50043 | − | 0.440567i | 0.164694 | − | 0.0483585i | −0.198346 | − | 0.980132i | \(-0.563557\pi\) |
0.363040 | + | 0.931774i | \(0.381739\pi\) | |||||||
\(84\) | −0.0858629 | + | 0.597190i | −0.00936841 | + | 0.0651587i | ||||
\(85\) | 8.17692 | − | 9.43666i | 0.886911 | − | 1.02355i | ||||
\(86\) | 1.34084 | − | 2.93602i | 0.144586 | − | 0.316599i | ||||
\(87\) | 6.16279 | + | 1.80956i | 0.660721 | + | 0.194005i | ||||
\(88\) | 1.37218 | + | 3.00466i | 0.146275 | + | 0.320298i | ||||
\(89\) | 0.324950 | + | 2.26007i | 0.0344446 | + | 0.239567i | 0.999769 | − | 0.0214852i | \(-0.00683949\pi\) |
−0.965325 | + | 0.261053i | \(0.915930\pi\) | |||||||
\(90\) | 3.40468 | + | 2.18805i | 0.358884 | + | 0.230641i | ||||
\(91\) | 4.70760 | 0.493490 | ||||||||
\(92\) | −2.58453 | − | 0.275064i | −0.269456 | − | 0.0286774i | ||||
\(93\) | −7.44168 | −0.771666 | ||||||||
\(94\) | 3.51153 | + | 2.25672i | 0.362187 | + | 0.232763i | ||||
\(95\) | 2.09174 | + | 14.5484i | 0.214608 | + | 1.49263i | ||||
\(96\) | 1.24125 | + | 2.71797i | 0.126685 | + | 0.277401i | ||||
\(97\) | 8.39691 | + | 2.46555i | 0.852577 | + | 0.250339i | 0.678688 | − | 0.734426i | \(-0.262549\pi\) |
0.173888 | + | 0.984765i | \(0.444367\pi\) | |||||||
\(98\) | −3.81540 | + | 8.35456i | −0.385413 | + | 0.843938i | ||||
\(99\) | 0.930515 | − | 1.07387i | 0.0935203 | − | 0.107928i | ||||
\(100\) | −0.111344 | + | 0.774415i | −0.0111344 | + | 0.0774415i | ||||
\(101\) | −2.49380 | + | 0.732247i | −0.248143 | + | 0.0728613i | −0.403439 | − | 0.915007i | \(-0.632185\pi\) |
0.155296 | + | 0.987868i | \(0.450367\pi\) | |||||||
\(102\) | −5.13580 | − | 5.92703i | −0.508520 | − | 0.586864i | ||||
\(103\) | 0.196789 | − | 0.126468i | 0.0193902 | − | 0.0124613i | −0.530910 | − | 0.847428i | \(-0.678150\pi\) |
0.550300 | + | 0.834967i | \(0.314513\pi\) | |||||||
\(104\) | 8.26969 | − | 5.31461i | 0.810910 | − | 0.521140i | ||||
\(105\) | −1.85057 | − | 2.13567i | −0.180597 | − | 0.208420i | ||||
\(106\) | 15.9546 | − | 4.68470i | 1.54965 | − | 0.455018i | ||||
\(107\) | −0.204273 | + | 1.42075i | −0.0197478 | + | 0.137349i | −0.997310 | − | 0.0732974i | \(-0.976648\pi\) |
0.977562 | + | 0.210646i | \(0.0675569\pi\) | |||||||
\(108\) | 0.354905 | − | 0.409583i | 0.0341508 | − | 0.0394121i | ||||
\(109\) | −5.92310 | + | 12.9698i | −0.567330 | + | 1.24228i | 0.380876 | + | 0.924626i | \(0.375622\pi\) |
−0.948207 | + | 0.317654i | \(0.897105\pi\) | |||||||
\(110\) | 5.51779 | + | 1.62017i | 0.526101 | + | 0.154477i | ||||
\(111\) | 3.43833 | + | 7.52890i | 0.326352 | + | 0.714611i | ||||
\(112\) | −0.758919 | − | 5.27840i | −0.0717111 | − | 0.498761i | ||||
\(113\) | 3.86768 | + | 2.48560i | 0.363840 | + | 0.233826i | 0.709769 | − | 0.704435i | \(-0.248800\pi\) |
−0.345928 | + | 0.938261i | \(0.612436\pi\) | |||||||
\(114\) | 9.23160 | 0.864619 | ||||||||
\(115\) | 8.90110 | − | 8.30504i | 0.830032 | − | 0.774449i | ||||
\(116\) | 3.48096 | 0.323199 | ||||||||
\(117\) | −3.55742 | − | 2.28621i | −0.328883 | − | 0.211360i | ||||
\(118\) | −2.71797 | − | 18.9039i | −0.250209 | − | 1.74024i | ||||
\(119\) | 2.27483 | + | 4.98119i | 0.208534 | + | 0.456625i | ||||
\(120\) | −5.66189 | − | 1.66248i | −0.516858 | − | 0.151763i | ||||
\(121\) | −3.73082 | + | 8.16935i | −0.339165 | + | 0.742668i | ||||
\(122\) | −11.5958 | + | 13.3822i | −1.04983 | + | 1.21157i | ||||
\(123\) | −0.654914 | + | 4.55503i | −0.0590516 | + | 0.410713i | ||||
\(124\) | −3.86969 | + | 1.13624i | −0.347509 | + | 0.102038i | ||||
\(125\) | 5.91183 | + | 6.82262i | 0.528770 | + | 0.610233i | ||||
\(126\) | −1.49315 | + | 0.959588i | −0.133020 | + | 0.0854869i | ||||
\(127\) | 2.27279 | − | 1.46063i | 0.201677 | − | 0.129610i | −0.435904 | − | 0.899993i | \(-0.643571\pi\) |
0.637581 | + | 0.770383i | \(0.279935\pi\) | |||||||
\(128\) | −8.94222 | − | 10.3199i | −0.790388 | − | 0.912157i | ||||
\(129\) | 1.94246 | − | 0.570357i | 0.171024 | − | 0.0502171i | ||||
\(130\) | 2.43560 | − | 16.9400i | 0.213617 | − | 1.48574i | ||||
\(131\) | −4.63411 | + | 5.34805i | −0.404884 | + | 0.467261i | −0.921173 | − | 0.389153i | \(-0.872768\pi\) |
0.516289 | + | 0.856415i | \(0.327313\pi\) | |||||||
\(132\) | 0.319905 | − | 0.700493i | 0.0278441 | − | 0.0609701i | ||||
\(133\) | −6.18482 | − | 1.81603i | −0.536292 | − | 0.157469i | ||||
\(134\) | −7.54379 | − | 16.5186i | −0.651685 | − | 1.42699i | ||||
\(135\) | 0.361256 | + | 2.51259i | 0.0310920 | + | 0.216249i | ||||
\(136\) | 9.61960 | + | 6.18214i | 0.824874 | + | 0.530115i | ||||
\(137\) | −4.85066 | −0.414420 | −0.207210 | − | 0.978296i | \(-0.566438\pi\) | ||||
−0.207210 | + | 0.978296i | \(0.566438\pi\) | |||||||
\(138\) | −4.36755 | − | 6.27610i | −0.371791 | − | 0.534257i | ||||
\(139\) | −20.0995 | −1.70482 | −0.852410 | − | 0.522875i | \(-0.824860\pi\) | ||||
−0.852410 | + | 0.522875i | \(0.824860\pi\) | |||||||
\(140\) | −1.28839 | − | 0.827998i | −0.108889 | − | 0.0699786i | ||||
\(141\) | 0.372594 | + | 2.59145i | 0.0313781 | + | 0.218239i | ||||
\(142\) | 2.56758 | + | 5.62222i | 0.215467 | + | 0.471806i | ||||
\(143\) | −5.76533 | − | 1.69285i | −0.482121 | − | 0.141564i | ||||
\(144\) | −1.98992 | + | 4.35731i | −0.165827 | + | 0.363110i | ||||
\(145\) | −10.6770 | + | 12.3219i | −0.886678 | + | 1.02328i | ||||
\(146\) | 2.79860 | − | 19.4647i | 0.231614 | − | 1.61091i | ||||
\(147\) | −5.52733 | + | 1.62297i | −0.455887 | + | 0.133860i | ||||
\(148\) | 2.93750 | + | 3.39006i | 0.241461 | + | 0.278661i | ||||
\(149\) | 6.39324 | − | 4.10868i | 0.523754 | − | 0.336596i | −0.251901 | − | 0.967753i | \(-0.581056\pi\) |
0.775656 | + | 0.631156i | \(0.217419\pi\) | |||||||
\(150\) | −1.93626 | + | 1.24436i | −0.158095 | + | 0.101602i | ||||
\(151\) | −7.84815 | − | 9.05725i | −0.638673 | − | 0.737068i | 0.340466 | − | 0.940257i | \(-0.389415\pi\) |
−0.979140 | + | 0.203188i | \(0.934870\pi\) | |||||||
\(152\) | −12.9149 | + | 3.79215i | −1.04753 | + | 0.307584i | ||||
\(153\) | 0.700045 | − | 4.86892i | 0.0565953 | − | 0.393629i | ||||
\(154\) | −1.65158 | + | 1.90602i | −0.133088 | + | 0.153592i | ||||
\(155\) | 7.84726 | − | 17.1831i | 0.630307 | − | 1.38018i | ||||
\(156\) | −2.19894 | − | 0.645667i | −0.176056 | − | 0.0516947i | ||||
\(157\) | 2.51857 | + | 5.51489i | 0.201003 | + | 0.440136i | 0.983112 | − | 0.183006i | \(-0.0585829\pi\) |
−0.782108 | + | 0.623143i | \(0.785856\pi\) | |||||||
\(158\) | −1.23672 | − | 8.60157i | −0.0983881 | − | 0.684304i | ||||
\(159\) | 8.77379 | + | 5.63857i | 0.695807 | + | 0.447168i | ||||
\(160\) | −7.58478 | −0.599630 | ||||||||
\(161\) | 1.69147 | + | 5.06392i | 0.133306 | + | 0.399093i | ||||
\(162\) | 1.59435 | 0.125264 | ||||||||
\(163\) | 14.0504 | + | 9.02963i | 1.10051 | + | 0.707255i | 0.959205 | − | 0.282711i | \(-0.0912336\pi\) |
0.141306 | + | 0.989966i | \(0.454870\pi\) | |||||||
\(164\) | 0.354934 | + | 2.46862i | 0.0277157 | + | 0.192767i | ||||
\(165\) | 1.49838 | + | 3.28099i | 0.116649 | + | 0.255425i | ||||
\(166\) | 2.39222 | + | 0.702418i | 0.185672 | + | 0.0545182i | ||||
\(167\) | 8.44065 | − | 18.4825i | 0.653157 | − | 1.43022i | −0.235606 | − | 0.971849i | \(-0.575707\pi\) |
0.888763 | − | 0.458367i | \(-0.151565\pi\) | |||||||
\(168\) | 1.69471 | − | 1.95580i | 0.130750 | − | 0.150893i | ||||
\(169\) | −0.694776 | + | 4.83228i | −0.0534443 | + | 0.371713i | ||||
\(170\) | 19.1015 | − | 5.60869i | 1.46501 | − | 0.430167i | ||||
\(171\) | 3.79177 | + | 4.37594i | 0.289964 | + | 0.334636i | ||||
\(172\) | 0.922997 | − | 0.593174i | 0.0703779 | − | 0.0452291i | ||||
\(173\) | −1.63360 | + | 1.04985i | −0.124200 | + | 0.0798188i | −0.601266 | − | 0.799049i | \(-0.705337\pi\) |
0.477066 | + | 0.878868i | \(0.341700\pi\) | |||||||
\(174\) | 6.70608 | + | 7.73923i | 0.508387 | + | 0.586709i | ||||
\(175\) | 1.54201 | − | 0.452775i | 0.116565 | − | 0.0342265i | ||||
\(176\) | −0.968675 | + | 6.73728i | −0.0730166 | + | 0.507842i | ||||
\(177\) | 7.84439 | − | 9.05291i | 0.589621 | − | 0.680458i | ||||
\(178\) | −1.51228 | + | 3.31143i | −0.113350 | + | 0.248202i | ||||
\(179\) | 16.8179 | + | 4.93817i | 1.25703 | + | 0.369096i | 0.841387 | − | 0.540434i | \(-0.181740\pi\) |
0.415639 | + | 0.909530i | \(0.363558\pi\) | |||||||
\(180\) | 0.571493 | + | 1.25139i | 0.0425966 | + | 0.0932735i | ||||
\(181\) | −1.85460 | − | 12.8990i | −0.137851 | − | 0.958777i | −0.934912 | − | 0.354878i | \(-0.884522\pi\) |
0.797061 | − | 0.603899i | \(-0.206387\pi\) | |||||||
\(182\) | 6.31408 | + | 4.05782i | 0.468031 | + | 0.300785i | ||||
\(183\) | −11.1062 | −0.820996 | ||||||||
\(184\) | 8.68822 | + | 6.98606i | 0.640504 | + | 0.515020i | ||||
\(185\) | −21.0102 | −1.54470 | ||||||||
\(186\) | −9.98118 | − | 6.41451i | −0.731855 | − | 0.470335i | ||||
\(187\) | −0.994719 | − | 6.91842i | −0.0727411 | − | 0.505925i | ||||
\(188\) | 0.589429 | + | 1.29067i | 0.0429885 | + | 0.0941317i | ||||
\(189\) | −1.06815 | − | 0.313638i | −0.0776967 | − | 0.0228138i | ||||
\(190\) | −9.73474 | + | 21.3161i | −0.706232 | + | 1.54643i | ||||
\(191\) | −9.24532 | + | 10.6697i | −0.668968 | + | 0.772030i | −0.984215 | − | 0.176980i | \(-0.943367\pi\) |
0.315247 | + | 0.949010i | \(0.397913\pi\) | |||||||
\(192\) | 0.685459 | − | 4.76747i | 0.0494687 | − | 0.344063i | ||||
\(193\) | −11.6561 | + | 3.42253i | −0.839021 | + | 0.246359i | −0.672888 | − | 0.739744i | \(-0.734946\pi\) |
−0.166133 | + | 0.986103i | \(0.553128\pi\) | |||||||
\(194\) | 9.13714 | + | 10.5448i | 0.656009 | + | 0.757074i | ||||
\(195\) | 9.03025 | − | 5.80339i | 0.646669 | − | 0.415589i | ||||
\(196\) | −2.62642 | + | 1.68790i | −0.187601 | + | 0.120564i | ||||
\(197\) | 2.87078 | + | 3.31305i | 0.204534 | + | 0.236045i | 0.848744 | − | 0.528803i | \(-0.177359\pi\) |
−0.644210 | + | 0.764849i | \(0.722814\pi\) | |||||||
\(198\) | 2.17370 | − | 0.638257i | 0.154478 | − | 0.0453590i | ||||
\(199\) | −2.41756 | + | 16.8145i | −0.171376 | + | 1.19195i | 0.704604 | + | 0.709600i | \(0.251124\pi\) |
−0.875980 | + | 0.482347i | \(0.839785\pi\) | |||||||
\(200\) | 2.19764 | − | 2.53621i | 0.155397 | − | 0.179337i | ||||
\(201\) | 4.73158 | − | 10.3607i | 0.333740 | − | 0.730788i | ||||
\(202\) | −3.97600 | − | 1.16746i | −0.279750 | − | 0.0821421i | ||||
\(203\) | −2.97037 | − | 6.50419i | −0.208479 | − | 0.456505i | ||||
\(204\) | −0.379393 | − | 2.63874i | −0.0265628 | − | 0.184749i | ||||
\(205\) | −9.82711 | − | 6.31550i | −0.686355 | − | 0.441094i | ||||
\(206\) | 0.372955 | 0.0259850 | ||||||||
\(207\) | 1.18106 | − | 4.64813i | 0.0820892 | − | 0.323067i | ||||
\(208\) | 20.2563 | 1.40452 | ||||||||
\(209\) | 6.92141 | + | 4.44812i | 0.478764 | + | 0.307683i | ||||
\(210\) | −0.641196 | − | 4.45962i | −0.0442467 | − | 0.307743i | ||||
\(211\) | −2.95148 | − | 6.46284i | −0.203188 | − | 0.444920i | 0.780416 | − | 0.625261i | \(-0.215007\pi\) |
−0.983604 | + | 0.180340i | \(0.942280\pi\) | |||||||
\(212\) | 5.42333 | + | 1.59243i | 0.372476 | + | 0.109369i | ||||
\(213\) | −1.61042 | + | 3.52634i | −0.110344 | + | 0.241621i | ||||
\(214\) | −1.49863 | + | 1.72951i | −0.102444 | + | 0.118227i | ||||
\(215\) | −0.731349 | + | 5.08665i | −0.0498776 | + | 0.346906i | ||||
\(216\) | −2.23047 | + | 0.654925i | −0.151764 | + | 0.0445620i | ||||
\(217\) | 5.42515 | + | 6.26095i | 0.368283 | + | 0.425021i | ||||
\(218\) | −19.1240 | + | 12.2902i | −1.29524 | + | 0.832399i | ||||
\(219\) | 10.3761 | − | 6.66831i | 0.701151 | − | 0.450602i | ||||
\(220\) | 1.28012 | + | 1.47734i | 0.0863060 | + | 0.0996024i | ||||
\(221\) | −19.9584 | + | 5.86031i | −1.34255 | + | 0.394207i | ||||
\(222\) | −1.87802 | + | 13.0619i | −0.126044 | + | 0.876657i | ||||
\(223\) | 3.34045 | − | 3.85508i | 0.223693 | − | 0.258155i | −0.632799 | − | 0.774316i | \(-0.718094\pi\) |
0.856492 | + | 0.516161i | \(0.172639\pi\) | |||||||
\(224\) | 1.38182 | − | 3.02577i | 0.0923269 | − | 0.202168i | ||||
\(225\) | −1.38514 | − | 0.406715i | −0.0923430 | − | 0.0271143i | ||||
\(226\) | 3.04501 | + | 6.66765i | 0.202551 | + | 0.443526i | ||||
\(227\) | 1.98911 | + | 13.8345i | 0.132022 | + | 0.918231i | 0.942914 | + | 0.333036i | \(0.108073\pi\) |
−0.810892 | + | 0.585195i | \(0.801018\pi\) | |||||||
\(228\) | 2.63988 | + | 1.69655i | 0.174830 | + | 0.112357i | ||||
\(229\) | 2.53723 | 0.167665 | 0.0838324 | − | 0.996480i | \(-0.473284\pi\) | ||||
0.0838324 | + | 0.996480i | \(0.473284\pi\) | |||||||
\(230\) | 19.0973 | − | 3.46668i | 1.25924 | − | 0.228586i | ||||
\(231\) | −1.58185 | −0.104078 | ||||||||
\(232\) | −12.5608 | − | 8.07234i | −0.824657 | − | 0.529975i | ||||
\(233\) | −0.174982 | − | 1.21703i | −0.0114635 | − | 0.0797301i | 0.983287 | − | 0.182064i | \(-0.0582779\pi\) |
−0.994750 | + | 0.102334i | \(0.967369\pi\) | |||||||
\(234\) | −2.80075 | − | 6.13278i | −0.183091 | − | 0.400912i | ||||
\(235\) | −6.37665 | − | 1.87235i | −0.415966 | − | 0.122139i | ||||
\(236\) | 2.69685 | − | 5.90527i | 0.175550 | − | 0.384400i | ||||
\(237\) | 3.56932 | − | 4.11922i | 0.231852 | − | 0.267572i | ||||
\(238\) | −1.24251 | + | 8.64188i | −0.0805403 | + | 0.560170i | ||||
\(239\) | 9.71455 | − | 2.85245i | 0.628382 | − | 0.184510i | 0.0479912 | − | 0.998848i | \(-0.484718\pi\) |
0.580391 | + | 0.814338i | \(0.302900\pi\) | |||||||
\(240\) | −7.96283 | − | 9.18959i | −0.513998 | − | 0.593185i | ||||
\(241\) | 16.9700 | − | 10.9060i | 1.09314 | − | 0.702516i | 0.135582 | − | 0.990766i | \(-0.456710\pi\) |
0.957555 | + | 0.288250i | \(0.0930733\pi\) | |||||||
\(242\) | −12.0457 | + | 7.74131i | −0.774328 | + | 0.497630i | ||||
\(243\) | 0.654861 | + | 0.755750i | 0.0420093 | + | 0.0484814i | ||||
\(244\) | −5.77527 | + | 1.69577i | −0.369724 | + | 0.108561i | ||||
\(245\) | 2.08108 | − | 14.4742i | 0.132955 | − | 0.924725i | ||||
\(246\) | −4.80471 | + | 5.54493i | −0.306337 | + | 0.353532i | ||||
\(247\) | 10.1715 | − | 22.2724i | 0.647194 | − | 1.41716i | ||||
\(248\) | 16.5984 | + | 4.87374i | 1.05400 | + | 0.309483i | ||||
\(249\) | 0.649616 | + | 1.42246i | 0.0411677 | + | 0.0901448i | ||||
\(250\) | 2.04836 | + | 14.2467i | 0.129550 | + | 0.901040i | ||||
\(251\) | −13.4477 | − | 8.64231i | −0.848811 | − | 0.545498i | 0.0423928 | − | 0.999101i | \(-0.486502\pi\) |
−0.891204 | + | 0.453603i | \(0.850138\pi\) | |||||||
\(252\) | −0.603331 | −0.0380063 | ||||||||
\(253\) | −0.250528 | − | 6.80996i | −0.0157506 | − | 0.428139i | ||||
\(254\) | 4.30740 | 0.270270 | ||||||||
\(255\) | 10.5043 | + | 6.75071i | 0.657805 | + | 0.422746i | ||||
\(256\) | −1.72743 | − | 12.0146i | −0.107965 | − | 0.750911i | ||||
\(257\) | −9.02114 | − | 19.7535i | −0.562723 | − | 1.23219i | −0.950582 | − | 0.310473i | \(-0.899513\pi\) |
0.387859 | − | 0.921719i | \(-0.373215\pi\) | |||||||
\(258\) | 3.09696 | + | 0.909349i | 0.192808 | + | 0.0566136i | ||||
\(259\) | 3.82771 | − | 8.38153i | 0.237843 | − | 0.520803i | ||||
\(260\) | 3.80965 | − | 4.39657i | 0.236265 | − | 0.272664i | ||||
\(261\) | −0.914084 | + | 6.35759i | −0.0565804 | + | 0.393525i | ||||
\(262\) | −10.8254 | + | 3.17862i | −0.668794 | + | 0.196376i | ||||
\(263\) | 10.5941 | + | 12.2263i | 0.653262 | + | 0.753904i | 0.981661 | − | 0.190635i | \(-0.0610546\pi\) |
−0.328399 | + | 0.944539i | \(0.606509\pi\) | |||||||
\(264\) | −2.77879 | + | 1.78582i | −0.171023 | + | 0.109910i | ||||
\(265\) | −22.2716 | + | 14.3131i | −1.36814 | + | 0.879248i | ||||
\(266\) | −6.73004 | − | 7.76689i | −0.412646 | − | 0.476218i | ||||
\(267\) | −2.19082 | + | 0.643284i | −0.134076 | + | 0.0393684i | ||||
\(268\) | 0.878492 | − | 6.11004i | 0.0536624 | − | 0.373230i | ||||
\(269\) | −1.27244 | + | 1.46847i | −0.0775818 | + | 0.0895342i | −0.793213 | − | 0.608944i | \(-0.791594\pi\) |
0.715632 | + | 0.698478i | \(0.246139\pi\) | |||||||
\(270\) | −1.68125 | + | 3.68141i | −0.102317 | + | 0.224044i | ||||
\(271\) | −4.74854 | − | 1.39430i | −0.288453 | − | 0.0846975i | 0.134305 | − | 0.990940i | \(-0.457120\pi\) |
−0.422758 | + | 0.906243i | \(0.638938\pi\) | |||||||
\(272\) | 9.78838 | + | 21.4336i | 0.593508 | + | 1.29960i | ||||
\(273\) | 0.669961 | + | 4.65968i | 0.0405479 | + | 0.282017i | ||||
\(274\) | −6.50597 | − | 4.18113i | −0.393040 | − | 0.252591i | ||||
\(275\) | −2.05129 | −0.123698 | ||||||||
\(276\) | −0.0955532 | − | 2.59737i | −0.00575163 | − | 0.156343i | ||||
\(277\) | 20.3847 | 1.22480 | 0.612400 | − | 0.790548i | \(-0.290204\pi\) | ||||
0.612400 | + | 0.790548i | \(0.290204\pi\) | |||||||
\(278\) | −26.9586 | − | 17.3252i | −1.61687 | − | 1.03910i | ||||
\(279\) | −1.05906 | − | 7.36593i | −0.0634043 | − | 0.440987i | ||||
\(280\) | 2.72894 | + | 5.97554i | 0.163085 | + | 0.357107i | ||||
\(281\) | 19.8152 | + | 5.81826i | 1.18207 | + | 0.347088i | 0.812973 | − | 0.582301i | \(-0.197848\pi\) |
0.369101 | + | 0.929389i | \(0.379666\pi\) | |||||||
\(282\) | −1.73401 | + | 3.79695i | −0.103259 | + | 0.226105i | ||||
\(283\) | 11.0558 | − | 12.7591i | 0.657200 | − | 0.758449i | −0.325117 | − | 0.945674i | \(-0.605404\pi\) |
0.982317 | + | 0.187225i | \(0.0599493\pi\) | |||||||
\(284\) | −0.299000 | + | 2.07959i | −0.0177424 | + | 0.123401i | ||||
\(285\) | −14.1026 | + | 4.14090i | −0.835368 | + | 0.245286i | ||||
\(286\) | −6.27358 | − | 7.24009i | −0.370964 | − | 0.428116i | ||||
\(287\) | 4.30976 | − | 2.76971i | 0.254397 | − | 0.163491i | ||||
\(288\) | −2.51365 | + | 1.61543i | −0.148118 | + | 0.0951899i | ||||
\(289\) | −4.71265 | − | 5.43869i | −0.277215 | − | 0.319923i | ||||
\(290\) | −24.9417 | + | 7.32355i | −1.46463 | + | 0.430054i | ||||
\(291\) | −1.24545 | + | 8.66232i | −0.0730098 | + | 0.507794i | ||||
\(292\) | 4.37743 | − | 5.05182i | 0.256170 | − | 0.295636i | ||||
\(293\) | −7.75250 | + | 16.9756i | −0.452906 | + | 0.991726i | 0.536142 | + | 0.844128i | \(0.319881\pi\) |
−0.989048 | + | 0.147597i | \(0.952846\pi\) | |||||||
\(294\) | −8.81251 | − | 2.58759i | −0.513956 | − | 0.150911i | ||||
\(295\) | 12.6316 | + | 27.6593i | 0.735439 | + | 1.61039i | ||||
\(296\) | −2.73823 | − | 19.0448i | −0.159157 | − | 1.10696i | ||||
\(297\) | 1.19537 | + | 0.768216i | 0.0693623 | + | 0.0445764i | ||||
\(298\) | 12.1165 | 0.701891 | ||||||||
\(299\) | −19.9541 | + | 3.62220i | −1.15397 | + | 0.209477i | ||||
\(300\) | −0.782379 | −0.0451706 | ||||||||
\(301\) | −1.89596 | − | 1.21846i | −0.109281 | − | 0.0702307i | ||||
\(302\) | −2.71927 | − | 18.9129i | −0.156476 | − | 1.08832i | ||||
\(303\) | −1.07970 | − | 2.36421i | −0.0620271 | − | 0.135820i | ||||
\(304\) | −26.6127 | − | 7.81418i | −1.52634 | − | 0.448174i | ||||
\(305\) | 11.7115 | − | 25.6447i | 0.670601 | − | 1.46841i | ||||
\(306\) | 5.13580 | − | 5.92703i | 0.293594 | − | 0.338826i | ||||
\(307\) | 1.58202 | − | 11.0032i | 0.0902906 | − | 0.627985i | −0.893553 | − | 0.448957i | \(-0.851796\pi\) |
0.983844 | − | 0.179028i | \(-0.0572953\pi\) | |||||||
\(308\) | −0.822568 | + | 0.241528i | −0.0468702 | + | 0.0137623i | ||||
\(309\) | 0.153187 | + | 0.176787i | 0.00871450 | + | 0.0100571i | ||||
\(310\) | 25.3365 | − | 16.2828i | 1.43902 | − | 0.924800i | ||||
\(311\) | −4.67177 | + | 3.00236i | −0.264912 | + | 0.170248i | −0.666353 | − | 0.745636i | \(-0.732146\pi\) |
0.401441 | + | 0.915885i | \(0.368509\pi\) | |||||||
\(312\) | 6.43741 | + | 7.42917i | 0.364447 | + | 0.420594i | ||||
\(313\) | −11.3436 | + | 3.33078i | −0.641178 | + | 0.188267i | −0.586130 | − | 0.810217i | \(-0.699349\pi\) |
−0.0550479 | + | 0.998484i | \(0.517531\pi\) | |||||||
\(314\) | −1.37564 | + | 9.56779i | −0.0776319 | + | 0.539942i | ||||
\(315\) | 1.85057 | − | 2.13567i | 0.104268 | − | 0.120332i | ||||
\(316\) | 1.22711 | − | 2.68699i | 0.0690302 | − | 0.151155i | ||||
\(317\) | −32.6171 | − | 9.57726i | −1.83196 | − | 0.537912i | −0.832101 | − | 0.554624i | \(-0.812862\pi\) |
−0.999860 | + | 0.0167114i | \(0.994680\pi\) | |||||||
\(318\) | 6.90759 | + | 15.1255i | 0.387358 | + | 0.848197i | ||||
\(319\) | 1.29885 | + | 9.03373i | 0.0727219 | + | 0.505792i | ||||
\(320\) | 10.2854 | + | 6.61005i | 0.574974 | + | 0.369513i | ||||
\(321\) | −1.43536 | −0.0801140 | ||||||||
\(322\) | −2.09627 | + | 8.25000i | −0.116821 | + | 0.459755i | ||||
\(323\) | 28.4819 | 1.58477 | ||||||||
\(324\) | 0.455922 | + | 0.293003i | 0.0253290 | + | 0.0162780i | ||||
\(325\) | 0.868783 | + | 6.04252i | 0.0481914 | + | 0.335178i | ||||
\(326\) | 11.0618 | + | 24.2221i | 0.612659 | + | 1.34154i | ||||
\(327\) | −13.6807 | − | 4.01702i | −0.756545 | − | 0.222142i | ||||
\(328\) | 4.44397 | − | 9.73093i | 0.245377 | − | 0.537301i | ||||
\(329\) | 1.90865 | − | 2.20270i | 0.105227 | − | 0.121439i | ||||
\(330\) | −0.818415 | + | 5.69220i | −0.0450523 | + | 0.313346i | ||||
\(331\) | 6.36568 | − | 1.86913i | 0.349889 | − | 0.102737i | −0.102065 | − | 0.994778i | \(-0.532545\pi\) |
0.451955 | + | 0.892041i | \(0.350727\pi\) | |||||||
\(332\) | 0.554993 | + | 0.640496i | 0.0304592 | + | 0.0351518i | ||||
\(333\) | −6.96294 | + | 4.47481i | −0.381567 | + | 0.245218i | ||||
\(334\) | 27.2524 | − | 17.5141i | 1.49119 | − | 0.958327i | ||||
\(335\) | 18.9338 | + | 21.8508i | 1.03446 | + | 1.19383i | ||||
\(336\) | 5.11666 | − | 1.50239i | 0.279137 | − | 0.0819620i | ||||
\(337\) | −2.50295 | + | 17.4084i | −0.136345 | + | 0.948297i | 0.800694 | + | 0.599073i | \(0.204464\pi\) |
−0.937039 | + | 0.349225i | \(0.886445\pi\) | |||||||
\(338\) | −5.09715 | + | 5.88243i | −0.277249 | + | 0.319962i | ||||
\(339\) | −1.90988 | + | 4.18205i | −0.103730 | + | 0.227138i | ||||
\(340\) | 6.49301 | + | 1.90652i | 0.352133 | + | 0.103396i | ||||
\(341\) | −4.39266 | − | 9.61858i | −0.237876 | − | 0.520876i | ||||
\(342\) | 1.31379 | + | 9.13764i | 0.0710419 | + | 0.494107i | ||||
\(343\) | 11.9507 | + | 7.68023i | 0.645276 | + | 0.414694i | ||||
\(344\) | −4.70614 | −0.253738 | ||||||||
\(345\) | 9.48727 | + | 7.62857i | 0.510777 | + | 0.410708i | ||||
\(346\) | −3.09602 | −0.166443 | ||||||||
\(347\) | −2.45596 | − | 1.57835i | −0.131843 | − | 0.0847302i | 0.473057 | − | 0.881032i | \(-0.343150\pi\) |
−0.604900 | + | 0.796302i | \(0.706787\pi\) | |||||||
\(348\) | 0.495393 | + | 3.44553i | 0.0265558 | + | 0.184700i | ||||
\(349\) | −0.978953 | − | 2.14361i | −0.0524022 | − | 0.114745i | 0.881620 | − | 0.471960i | \(-0.156453\pi\) |
−0.934022 | + | 0.357216i | \(0.883726\pi\) | |||||||
\(350\) | 2.45850 | + | 0.721882i | 0.131413 | + | 0.0385862i | ||||
\(351\) | 1.75667 | − | 3.84657i | 0.0937640 | − | 0.205315i | ||||
\(352\) | −2.78037 | + | 3.20871i | −0.148194 | + | 0.171025i | ||||
\(353\) | −0.304479 | + | 2.11770i | −0.0162058 | + | 0.112714i | −0.996319 | − | 0.0857271i | \(-0.972679\pi\) |
0.980113 | + | 0.198441i | \(0.0635878\pi\) | |||||||
\(354\) | 18.3247 | − | 5.38061i | 0.973945 | − | 0.285976i | ||||
\(355\) | −6.44424 | − | 7.43705i | −0.342025 | − | 0.394718i | ||||
\(356\) | −1.04101 | + | 0.669019i | −0.0551736 | + | 0.0354579i | ||||
\(357\) | −4.60675 | + | 2.96058i | −0.243815 | + | 0.156690i | ||||
\(358\) | 18.3004 | + | 21.1198i | 0.967209 | + | 1.11622i | ||||
\(359\) | 18.1631 | − | 5.33317i | 0.958612 | − | 0.281474i | 0.235244 | − | 0.971936i | \(-0.424411\pi\) |
0.723368 | + | 0.690463i | \(0.242593\pi\) | |||||||
\(360\) | 0.839788 | − | 5.84086i | 0.0442607 | − | 0.307840i | ||||
\(361\) | −9.51274 | + | 10.9783i | −0.500671 | + | 0.577805i | ||||
\(362\) | 8.63110 | − | 18.8995i | 0.453641 | − | 0.993334i | ||||
\(363\) | −8.61715 | − | 2.53022i | −0.452283 | − | 0.132802i | ||||
\(364\) | 1.05985 | + | 2.32075i | 0.0555514 | + | 0.121640i | ||||
\(365\) | 4.45576 | + | 30.9905i | 0.233225 | + | 1.62212i | ||||
\(366\) | −14.8963 | − | 9.57326i | −0.778641 | − | 0.500402i | ||||
\(367\) | 7.75649 | 0.404885 | 0.202443 | − | 0.979294i | \(-0.435112\pi\) | ||||
0.202443 | + | 0.979294i | \(0.435112\pi\) | |||||||
\(368\) | 7.27822 | + | 21.7896i | 0.379403 | + | 1.13586i | ||||
\(369\) | −4.60187 | −0.239564 | ||||||||
\(370\) | −28.1800 | − | 18.1102i | −1.46501 | − | 0.941505i | ||||
\(371\) | −1.65235 | − | 11.4924i | −0.0857858 | − | 0.596653i | ||||
\(372\) | −1.67539 | − | 3.66860i | −0.0868651 | − | 0.190208i | ||||
\(373\) | 18.8535 | + | 5.53589i | 0.976198 | + | 0.286638i | 0.730654 | − | 0.682748i | \(-0.239215\pi\) |
0.245544 | + | 0.969385i | \(0.421033\pi\) | |||||||
\(374\) | 4.62931 | − | 10.1368i | 0.239376 | − | 0.524160i | ||||
\(375\) | −5.91183 | + | 6.82262i | −0.305286 | + | 0.352318i | ||||
\(376\) | 0.866145 | − | 6.02417i | 0.0446680 | − | 0.310673i | ||||
\(377\) | 26.0607 | − | 7.65210i | 1.34219 | − | 0.394103i | ||||
\(378\) | −1.16232 | − | 1.34139i | −0.0597832 | − | 0.0689934i | ||||
\(379\) | −8.08602 | + | 5.19657i | −0.415351 | + | 0.266930i | −0.731584 | − | 0.681752i | \(-0.761218\pi\) |
0.316232 | + | 0.948682i | \(0.397582\pi\) | |||||||
\(380\) | −6.70114 | + | 4.30656i | −0.343761 | + | 0.220922i | ||||
\(381\) | 1.76921 | + | 2.04178i | 0.0906396 | + | 0.104604i | ||||
\(382\) | −21.5973 | + | 6.34153i | −1.10501 | + | 0.324461i | ||||
\(383\) | 0.303176 | − | 2.10863i | 0.0154916 | − | 0.107746i | −0.980608 | − | 0.195977i | \(-0.937212\pi\) |
0.996100 | + | 0.0882308i | \(0.0281213\pi\) | |||||||
\(384\) | 8.94222 | − | 10.3199i | 0.456331 | − | 0.526634i | ||||
\(385\) | 1.66807 | − | 3.65256i | 0.0850126 | − | 0.186152i | ||||
\(386\) | −18.5838 | − | 5.45671i | −0.945893 | − | 0.277739i | ||||
\(387\) | 0.840992 | + | 1.84152i | 0.0427500 | + | 0.0936095i | ||||
\(388\) | 0.674981 | + | 4.69459i | 0.0342670 | + | 0.238332i | ||||
\(389\) | −28.1831 | − | 18.1121i | −1.42894 | − | 0.918322i | −0.999887 | − | 0.0150420i | \(-0.995212\pi\) |
−0.429051 | − | 0.903280i | \(-0.641152\pi\) | |||||||
\(390\) | 17.1142 | 0.866611 | ||||||||
\(391\) | −13.4750 | − | 19.3634i | −0.681462 | − | 0.979249i | ||||
\(392\) | 13.3915 | 0.676372 | ||||||||
\(393\) | −5.95312 | − | 3.82584i | −0.300295 | − | 0.192988i | ||||
\(394\) | 0.994683 | + | 6.91817i | 0.0501114 | + | 0.348532i | ||||
\(395\) | 5.74757 | + | 12.5854i | 0.289192 | + | 0.633241i | ||||
\(396\) | 0.738891 | + | 0.216958i | 0.0371306 | + | 0.0109025i | ||||
\(397\) | 9.10121 | − | 19.9289i | 0.456777 | − | 1.00020i | −0.531434 | − | 0.847100i | \(-0.678347\pi\) |
0.988210 | − | 0.153102i | \(-0.0489262\pi\) | |||||||
\(398\) | −17.7362 | + | 20.4686i | −0.889033 | + | 1.02600i | ||||
\(399\) | 0.917350 | − | 6.38031i | 0.0459250 | − | 0.319415i | ||||
\(400\) | 6.63511 | − | 1.94824i | 0.331756 | − | 0.0974122i | ||||
\(401\) | 4.02898 | + | 4.64969i | 0.201198 | + | 0.232194i | 0.847378 | − | 0.530991i | \(-0.178180\pi\) |
−0.646180 | + | 0.763185i | \(0.723635\pi\) | |||||||
\(402\) | 15.2769 | − | 9.81785i | 0.761941 | − | 0.489670i | ||||
\(403\) | −26.4731 | + | 17.0132i | −1.31872 | + | 0.847490i | ||||
\(404\) | −0.922430 | − | 1.06454i | −0.0458926 | − | 0.0529629i | ||||
\(405\) | −2.43560 | + | 0.715158i | −0.121026 | + | 0.0355365i | ||||
\(406\) | 1.62241 | − | 11.2841i | 0.0805191 | − | 0.560022i | ||||
\(407\) | −7.70174 | + | 8.88829i | −0.381761 | + | 0.440576i | ||||
\(408\) | −4.75021 | + | 10.4015i | −0.235170 | + | 0.514951i | ||||
\(409\) | −3.53362 | − | 1.03757i | −0.174726 | − | 0.0513043i | 0.193199 | − | 0.981160i | \(-0.438114\pi\) |
−0.367925 | + | 0.929855i | \(0.619932\pi\) | |||||||
\(410\) | −7.73687 | − | 16.9414i | −0.382097 | − | 0.836675i | ||||
\(411\) | −0.690321 | − | 4.80129i | −0.0340510 | − | 0.236830i | ||||
\(412\) | 0.106651 | + | 0.0685402i | 0.00525430 | + | 0.00337673i | ||||
\(413\) | −13.3353 | −0.656186 | ||||||||
\(414\) | 5.59065 | − | 5.21628i | 0.274766 | − | 0.256366i | ||||
\(415\) | −3.96953 | −0.194857 | ||||||||
\(416\) | 10.6295 | + | 6.83116i | 0.521154 | + | 0.334925i | ||||
\(417\) | −2.86046 | − | 19.8949i | −0.140077 | − | 0.974259i | ||||
\(418\) | 5.44922 | + | 11.9321i | 0.266530 | + | 0.583619i | ||||
\(419\) | −34.6476 | − | 10.1734i | −1.69264 | − | 0.497005i | −0.713583 | − | 0.700571i | \(-0.752929\pi\) |
−0.979061 | + | 0.203565i | \(0.934747\pi\) | |||||||
\(420\) | 0.636213 | − | 1.39311i | 0.0310440 | − | 0.0679769i | ||||
\(421\) | 12.7180 | − | 14.6773i | 0.619836 | − | 0.715329i | −0.355840 | − | 0.934547i | \(-0.615805\pi\) |
0.975676 | + | 0.219218i | \(0.0703506\pi\) | |||||||
\(422\) | 1.61210 | − | 11.2124i | 0.0784758 | − | 0.545811i | ||||
\(423\) | −2.51204 | + | 0.737603i | −0.122140 | + | 0.0358635i | ||||
\(424\) | −15.8768 | − | 18.3229i | −0.771048 | − | 0.889836i | ||||
\(425\) | −5.97387 | + | 3.83917i | −0.289775 | + | 0.186227i | ||||
\(426\) | −5.19959 | + | 3.34157i | −0.251921 | + | 0.161900i | ||||
\(427\) | 8.09669 | + | 9.34408i | 0.391826 | + | 0.452192i | ||||
\(428\) | −0.746391 | + | 0.219160i | −0.0360782 | + | 0.0105935i | ||||
\(429\) | 0.855131 | − | 5.94756i | 0.0412861 | − | 0.287151i | ||||
\(430\) | −5.36547 | + | 6.19208i | −0.258746 | + | 0.298609i | ||||
\(431\) | 2.13218 | − | 4.66883i | 0.102704 | − | 0.224890i | −0.851303 | − | 0.524674i | \(-0.824187\pi\) |
0.954007 | + | 0.299784i | \(0.0969146\pi\) | |||||||
\(432\) | −4.59616 | − | 1.34955i | −0.221133 | − | 0.0649304i | ||||
\(433\) | −6.88613 | − | 15.0785i | −0.330926 | − | 0.724628i | 0.668898 | − | 0.743354i | \(-0.266766\pi\) |
−0.999825 | + | 0.0187264i | \(0.994039\pi\) | |||||||
\(434\) | 1.87974 | + | 13.0738i | 0.0902302 | + | 0.627565i | ||||
\(435\) | −13.7160 | − | 8.81474i | −0.657632 | − | 0.422635i | ||||
\(436\) | −7.72735 | −0.370073 | ||||||||
\(437\) | 27.6129 | + | 2.93875i | 1.32090 | + | 0.140580i | ||||
\(438\) | 19.6649 | 0.939623 | ||||||||
\(439\) | 1.05400 | + | 0.677363i | 0.0503045 | + | 0.0323288i | 0.565551 | − | 0.824713i | \(-0.308663\pi\) |
−0.515247 | + | 0.857042i | \(0.672300\pi\) | |||||||
\(440\) | −1.19329 | − | 8.29949i | −0.0568877 | − | 0.395663i | ||||
\(441\) | −2.39307 | − | 5.24010i | −0.113956 | − | 0.249528i | ||||
\(442\) | −31.8206 | − | 9.34338i | −1.51355 | − | 0.444419i | ||||
\(443\) | −8.84700 | + | 19.3722i | −0.420333 | + | 0.920402i | 0.574464 | + | 0.818530i | \(0.305211\pi\) |
−0.994798 | + | 0.101872i | \(0.967517\pi\) | |||||||
\(444\) | −2.93750 | + | 3.39006i | −0.139408 | + | 0.160885i | ||||
\(445\) | 0.824861 | − | 5.73704i | 0.0391022 | − | 0.271962i | ||||
\(446\) | 7.80336 | − | 2.29127i | 0.369500 | − | 0.108495i | ||||
\(447\) | 4.97672 | + | 5.74344i | 0.235391 | + | 0.271655i | ||||
\(448\) | −4.51076 | + | 2.89889i | −0.213113 | + | 0.136960i | ||||
\(449\) | −6.95511 | + | 4.46978i | −0.328232 | + | 0.210942i | −0.694369 | − | 0.719619i | \(-0.744316\pi\) |
0.366137 | + | 0.930561i | \(0.380680\pi\) | |||||||
\(450\) | −1.50725 | − | 1.73946i | −0.0710526 | − | 0.0819991i | ||||
\(451\) | −6.27409 | + | 1.84224i | −0.295435 | + | 0.0867476i | ||||
\(452\) | −0.354599 | + | 2.46629i | −0.0166789 | + | 0.116004i | ||||
\(453\) | 7.84815 | − | 9.05725i | 0.368738 | − | 0.425547i | ||||
\(454\) | −9.25709 | + | 20.2702i | −0.434457 | + | 0.951327i | ||||
\(455\) | −11.4658 | − | 3.36668i | −0.537527 | − | 0.157832i | ||||
\(456\) | −5.59152 | − | 12.2437i | −0.261847 | − | 0.573365i | ||||
\(457\) | 2.17916 | + | 15.1564i | 0.101937 | + | 0.708987i | 0.975133 | + | 0.221619i | \(0.0711341\pi\) |
−0.873196 | + | 0.487369i | \(0.837957\pi\) | |||||||
\(458\) | 3.40307 | + | 2.18702i | 0.159015 | + | 0.102193i | ||||
\(459\) | 4.91899 | 0.229599 | ||||||||
\(460\) | 6.09818 | + | 2.51830i | 0.284329 | + | 0.117416i | ||||
\(461\) | 28.6751 | 1.33553 | 0.667767 | − | 0.744370i | \(-0.267250\pi\) | ||||
0.667767 | + | 0.744370i | \(0.267250\pi\) | |||||||
\(462\) | −2.12167 | − | 1.36351i | −0.0987089 | − | 0.0634364i | ||||
\(463\) | 4.22090 | + | 29.3570i | 0.196162 | + | 1.36433i | 0.815294 | + | 0.579047i | \(0.196575\pi\) |
−0.619132 | + | 0.785287i | \(0.712516\pi\) | |||||||
\(464\) | −12.7812 | − | 27.9869i | −0.593352 | − | 1.29926i | ||||
\(465\) | 18.1250 | + | 5.32198i | 0.840526 | + | 0.246801i | ||||
\(466\) | 0.814347 | − | 1.78317i | 0.0377239 | − | 0.0826038i | ||||
\(467\) | 19.4399 | − | 22.4348i | 0.899569 | − | 1.03816i | −0.0995008 | − | 0.995037i | \(-0.531725\pi\) |
0.999070 | − | 0.0431206i | \(-0.0137300\pi\) | |||||||
\(468\) | 0.326153 | − | 2.26844i | 0.0150764 | − | 0.104859i | ||||
\(469\) | −12.1663 | + | 3.57234i | −0.561786 | + | 0.164955i | ||||
\(470\) | −6.93878 | − | 8.00778i | −0.320062 | − | 0.369372i | ||||
\(471\) | −5.10033 | + | 3.27778i | −0.235011 | + | 0.151032i | ||||
\(472\) | −23.4257 | + | 15.0548i | −1.07825 | + | 0.692952i | ||||
\(473\) | 1.88379 | + | 2.17401i | 0.0866169 | + | 0.0999612i | ||||
\(474\) | 8.33802 | − | 2.44826i | 0.382978 | − | 0.112452i | ||||
\(475\) | 1.18959 | − | 8.27377i | 0.0545820 | − | 0.379626i | ||||
\(476\) | −1.94348 | + | 2.24290i | −0.0890793 | + | 0.102803i | ||||
\(477\) | −4.33254 | + | 9.48694i | −0.198373 | + | 0.434377i | ||||
\(478\) | 15.4884 | + | 4.54780i | 0.708423 | + | 0.208012i | ||||
\(479\) | −1.06180 | − | 2.32502i | −0.0485150 | − | 0.106233i | 0.883822 | − | 0.467823i | \(-0.154961\pi\) |
−0.932337 | + | 0.361590i | \(0.882234\pi\) | |||||||
\(480\) | −1.07943 | − | 7.50758i | −0.0492689 | − | 0.342673i | ||||
\(481\) | 29.4442 | + | 18.9227i | 1.34254 | + | 0.862799i | ||||
\(482\) | 32.1618 | 1.46493 | ||||||||
\(483\) | −4.77166 | + | 2.39492i | −0.217118 | + | 0.108973i | ||||
\(484\) | −4.86727 | −0.221240 | ||||||||
\(485\) | −18.6883 | − | 12.0102i | −0.848591 | − | 0.545356i | ||||
\(486\) | 0.226900 | + | 1.57812i | 0.0102924 | + | 0.0715851i | ||||
\(487\) | 13.4728 | + | 29.5012i | 0.610509 | + | 1.33683i | 0.922225 | + | 0.386654i | \(0.126369\pi\) |
−0.311716 | + | 0.950175i | \(0.600904\pi\) | |||||||
\(488\) | 24.7721 | + | 7.27375i | 1.12138 | + | 0.329267i | ||||
\(489\) | −6.93815 | + | 15.1924i | −0.313754 | + | 0.687025i | ||||
\(490\) | 15.2676 | − | 17.6198i | 0.689721 | − | 0.795981i | ||||
\(491\) | 0.866630 | − | 6.02754i | 0.0391105 | − | 0.272019i | −0.960877 | − | 0.276975i | \(-0.910668\pi\) |
0.999988 | + | 0.00495530i | \(0.00157733\pi\) | |||||||
\(492\) | −2.39298 | + | 0.702643i | −0.107884 | + | 0.0316776i | ||||
\(493\) | 20.6900 | + | 23.8775i | 0.931830 | + | 1.07539i | ||||
\(494\) | 32.8406 | − | 21.1054i | 1.47757 | − | 0.949577i | ||||
\(495\) | −3.03436 | + | 1.95006i | −0.136384 | + | 0.0876488i | ||||
\(496\) | 23.3439 | + | 26.9403i | 1.04817 | + | 1.20965i | ||||
\(497\) | 4.14087 | − | 1.21587i | 0.185743 | − | 0.0545392i | ||||
\(498\) | −0.354821 | + | 2.46783i | −0.0158999 | + | 0.110586i | ||||
\(499\) | −13.3850 | + | 15.4471i | −0.599194 | + | 0.691507i | −0.971618 | − | 0.236556i | \(-0.923981\pi\) |
0.372424 | + | 0.928063i | \(0.378527\pi\) | |||||||
\(500\) | −2.03245 | + | 4.45043i | −0.0908937 | + | 0.199029i | ||||
\(501\) | 19.4956 | + | 5.72441i | 0.870997 | + | 0.255748i | ||||
\(502\) | −10.5873 | − | 23.1831i | −0.472536 | − | 1.03471i | ||||
\(503\) | −0.403200 | − | 2.80432i | −0.0179778 | − | 0.125038i | 0.978856 | − | 0.204550i | \(-0.0655730\pi\) |
−0.996834 | + | 0.0795115i | \(0.974664\pi\) | |||||||
\(504\) | 2.17708 | + | 1.39912i | 0.0969746 | + | 0.0623218i | ||||
\(505\) | 6.59760 | 0.293589 | ||||||||
\(506\) | 5.53397 | − | 9.34984i | 0.246015 | − | 0.415651i | ||||
\(507\) | −4.88197 | −0.216816 | ||||||||
\(508\) | 1.23175 | + | 0.791597i | 0.0546500 | + | 0.0351214i | ||||
\(509\) | 4.91880 | + | 34.2110i | 0.218022 | + | 1.51638i | 0.745327 | + | 0.666699i | \(0.232293\pi\) |
−0.527305 | + | 0.849676i | \(0.676798\pi\) | |||||||
\(510\) | 8.27002 | + | 18.1088i | 0.366203 | + | 0.801872i | ||||
\(511\) | −13.1747 | − | 3.86844i | −0.582814 | − | 0.171130i | ||||
\(512\) | −3.30582 | + | 7.23875i | −0.146098 | + | 0.319910i | ||||
\(513\) | −3.79177 | + | 4.37594i | −0.167411 | + | 0.193202i | ||||
\(514\) | 4.92735 | − | 34.2705i | 0.217336 | − | 1.51161i | ||||
\(515\) | −0.569744 | + | 0.167292i | −0.0251059 | + | 0.00737176i | ||||
\(516\) | 0.718493 | + | 0.829185i | 0.0316299 | + | 0.0365028i | ||||
\(517\) | −3.12959 | + | 2.01126i | −0.137639 | + | 0.0884553i | ||||
\(518\) | 12.3586 | − | 7.94237i | 0.543004 | − | 0.348968i | ||||
\(519\) | −1.27165 | − | 1.46756i | −0.0558193 | − | 0.0644189i | ||||
\(520\) | −23.9425 | + | 7.03015i | −1.04995 | + | 0.308292i | ||||
\(521\) | 2.39911 | − | 16.6862i | 0.105107 | − | 0.731034i | −0.867307 | − | 0.497773i | \(-0.834151\pi\) |
0.972414 | − | 0.233261i | \(-0.0749397\pi\) | |||||||
\(522\) | −6.70608 | + | 7.73923i | −0.293517 | + | 0.338737i | ||||
\(523\) | 10.8623 | − | 23.7852i | 0.474977 | − | 1.04005i | −0.508837 | − | 0.860863i | \(-0.669924\pi\) |
0.983814 | − | 0.179192i | \(-0.0573482\pi\) | |||||||
\(524\) | −3.67979 | − | 1.08048i | −0.160752 | − | 0.0472012i | ||||
\(525\) | 0.667617 | + | 1.46188i | 0.0291372 | + | 0.0638015i | ||||
\(526\) | 3.67071 | + | 25.5304i | 0.160051 | + | 1.11318i | ||||
\(527\) | −30.7945 | − | 19.7904i | −1.34143 | − | 0.862085i | ||||
\(528\) | −6.80656 | −0.296218 | ||||||||
\(529\) | −11.0660 | − | 20.1629i | −0.481130 | − | 0.876650i | ||||
\(530\) | −42.2094 | −1.83346 | ||||||||
\(531\) | 10.0771 | + | 6.47618i | 0.437311 | + | 0.281042i | ||||
\(532\) | −0.497163 | − | 3.45785i | −0.0215548 | − | 0.149917i | ||||
\(533\) | 8.08396 | + | 17.7014i | 0.350155 | + | 0.766732i | ||||
\(534\) | −3.49294 | − | 1.02562i | −0.151154 | − | 0.0443830i | ||||
\(535\) | 1.51359 | − | 3.31430i | 0.0654382 | − | 0.143290i | ||||
\(536\) | −17.3391 | + | 20.0104i | −0.748936 | + | 0.864319i | ||||
\(537\) | −2.49447 | + | 17.3494i | −0.107644 | + | 0.748684i | ||||
\(538\) | −2.97244 | + | 0.872787i | −0.128151 | + | 0.0376285i | ||||
\(539\) | −5.36040 | − | 6.18623i | −0.230889 | − | 0.266460i | ||||
\(540\) | −1.15733 | + | 0.743768i | −0.0498034 | + | 0.0320067i | ||||
\(541\) | 12.4240 | − | 7.98441i | 0.534149 | − | 0.343277i | −0.245598 | − | 0.969372i | \(-0.578984\pi\) |
0.779747 | + | 0.626095i | \(0.215348\pi\) | |||||||
\(542\) | −5.16715 | − | 5.96321i | −0.221948 | − | 0.256142i | ||||
\(543\) | 12.5038 | − | 3.67144i | 0.536589 | − | 0.157557i | ||||
\(544\) | −2.09172 | + | 14.5482i | −0.0896818 | + | 0.623751i | ||||
\(545\) | 23.7018 | − | 27.3533i | 1.01527 | − | 1.17169i | ||||
\(546\) | −3.11792 | + | 6.82730i | −0.133435 | + | 0.292182i | ||||
\(547\) | −3.61642 | − | 1.06188i | −0.154627 | − | 0.0454026i | 0.203503 | − | 0.979074i | \(-0.434767\pi\) |
−0.358130 | + | 0.933672i | \(0.616586\pi\) | |||||||
\(548\) | −1.09206 | − | 2.39128i | −0.0466506 | − | 0.102150i | ||||
\(549\) | −1.58058 | − | 10.9932i | −0.0674576 | − | 0.469178i | ||||
\(550\) | −2.75131 | − | 1.76816i | −0.117316 | − | 0.0753944i | ||||
\(551\) | −37.1902 | −1.58436 | ||||||||
\(552\) | −5.67849 | + | 9.59401i | −0.241693 | + | 0.408348i | ||||
\(553\) | −6.06777 | −0.258028 | ||||||||
\(554\) | 27.3411 | + | 17.5711i | 1.16161 | + | 0.746523i | ||||
\(555\) | −2.99007 | − | 20.7964i | −0.126921 | − | 0.882756i | ||||
\(556\) | −4.52514 | − | 9.90866i | −0.191908 | − | 0.420221i | ||||
\(557\) | 0.734010 | + | 0.215525i | 0.0311010 | + | 0.00913208i | 0.297246 | − | 0.954801i | \(-0.403932\pi\) |
−0.266145 | + | 0.963933i | \(0.585750\pi\) | |||||||
\(558\) | 4.92875 | − | 10.7925i | 0.208651 | − | 0.456881i | ||||
\(559\) | 5.60617 | − | 6.46987i | 0.237116 | − | 0.273646i | ||||
\(560\) | −1.92646 | + | 13.3988i | −0.0814078 | + | 0.566204i | ||||
\(561\) | 6.70644 | − | 1.96919i | 0.283146 | − | 0.0831392i | ||||
\(562\) | 21.5620 | + | 24.8839i | 0.909538 | + | 1.04966i | ||||
\(563\) | 12.9451 | − | 8.31933i | 0.545572 | − | 0.350618i | −0.238643 | − | 0.971107i | \(-0.576702\pi\) |
0.784215 | + | 0.620490i | \(0.213066\pi\) | |||||||
\(564\) | −1.19365 | + | 0.767111i | −0.0502616 | + | 0.0323012i | ||||
\(565\) | −7.64253 | − | 8.81995i | −0.321524 | − | 0.371058i | ||||
\(566\) | 25.8266 | − | 7.58338i | 1.08557 | − | 0.318753i | ||||
\(567\) | 0.158432 | − | 1.10192i | 0.00665350 | − | 0.0462761i | ||||
\(568\) | 5.90149 | − | 6.81068i | 0.247621 | − | 0.285770i | ||||
\(569\) | −17.0473 | + | 37.3284i | −0.714660 | + | 1.56489i | 0.106580 | + | 0.994304i | \(0.466010\pi\) |
−0.821240 | + | 0.570583i | \(0.806717\pi\) | |||||||
\(570\) | −22.4845 | − | 6.60206i | −0.941774 | − | 0.276530i | ||||
\(571\) | 8.99000 | + | 19.6854i | 0.376220 | + | 0.823807i | 0.999138 | + | 0.0415195i | \(0.0132199\pi\) |
−0.622918 | + | 0.782287i | \(0.714053\pi\) | |||||||
\(572\) | −0.463443 | − | 3.22332i | −0.0193775 | − | 0.134774i | ||||
\(573\) | −11.8768 | − | 7.63276i | −0.496161 | − | 0.318863i | ||||
\(574\) | 8.16789 | 0.340921 | ||||||||
\(575\) | −6.18772 | + | 3.10565i | −0.258046 | + | 0.129515i | ||||
\(576\) | 4.81650 | 0.200687 | ||||||||
\(577\) | −27.6437 | − | 17.7655i | −1.15082 | − | 0.739588i | −0.181019 | − | 0.983480i | \(-0.557940\pi\) |
−0.969803 | + | 0.243891i | \(0.921576\pi\) | |||||||
\(578\) | −1.63287 | − | 11.3568i | −0.0679183 | − | 0.472382i | ||||
\(579\) | −5.04652 | − | 11.0503i | −0.209726 | − | 0.459236i | ||||
\(580\) | −8.47825 | − | 2.48944i | −0.352040 | − | 0.103368i | ||||
\(581\) | 0.723184 | − | 1.58355i | 0.0300027 | − | 0.0656968i | ||||
\(582\) | −9.13714 | + | 10.5448i | −0.378747 | + | 0.437097i | ||||
\(583\) | −2.10904 | + | 14.6687i | −0.0873476 | + | 0.607516i | ||||
\(584\) | −27.5108 | + | 8.07790i | −1.13840 | + | 0.334266i | ||||
\(585\) | 7.02945 | + | 8.11242i | 0.290632 | + | 0.335407i | ||||
\(586\) | −25.0306 | + | 16.0862i | −1.03400 | + | 0.664513i | ||||
\(587\) | −8.80071 | + | 5.65587i | −0.363244 | + | 0.233443i | −0.709513 | − | 0.704693i | \(-0.751085\pi\) |
0.346269 | + | 0.938135i | \(0.387449\pi\) | |||||||
\(588\) | −2.04450 | − | 2.35947i | −0.0843136 | − | 0.0973031i | ||||
\(589\) | 41.3434 | − | 12.1395i | 1.70352 | − | 0.500200i | ||||
\(590\) | −6.89937 | + | 47.9862i | −0.284043 | + | 1.97556i | ||||
\(591\) | −2.87078 | + | 3.31305i | −0.118088 | + | 0.136281i | ||||
\(592\) | 16.4703 | − | 36.0649i | 0.676924 | − | 1.48226i | ||||
\(593\) | 22.2328 | + | 6.52814i | 0.912992 | + | 0.268079i | 0.704300 | − | 0.709903i | \(-0.251261\pi\) |
0.208692 | + | 0.977981i | \(0.433079\pi\) | |||||||
\(594\) | 0.941111 | + | 2.06075i | 0.0386142 | + | 0.0845534i | ||||
\(595\) | −1.97826 | − | 13.7591i | −0.0811006 | − | 0.564067i | ||||
\(596\) | 3.46485 | + | 2.22672i | 0.141926 | + | 0.0912102i | ||||
\(597\) | −16.9874 | −0.695247 | ||||||||
\(598\) | −29.8857 | − | 12.3415i | −1.22212 | − | 0.504683i | ||||
\(599\) | −24.4836 | −1.00037 | −0.500187 | − | 0.865917i | \(-0.666735\pi\) | ||||
−0.500187 | + | 0.865917i | \(0.666735\pi\) | |||||||
\(600\) | 2.82316 | + | 1.81433i | 0.115255 | + | 0.0740698i | ||||
\(601\) | −3.79167 | − | 26.3716i | −0.154665 | − | 1.07572i | −0.908267 | − | 0.418390i | \(-0.862595\pi\) |
0.753602 | − | 0.657331i | \(-0.228315\pi\) | |||||||
\(602\) | −1.49268 | − | 3.26852i | −0.0608372 | − | 0.133215i | ||||
\(603\) | 10.9286 | + | 3.20893i | 0.445048 | + | 0.130678i | ||||
\(604\) | 2.69814 | − | 5.90810i | 0.109786 | − | 0.240397i | ||||
\(605\) | 14.9292 | − | 17.2292i | 0.606957 | − | 0.700466i | ||||
\(606\) | 0.589732 | − | 4.10168i | 0.0239562 | − | 0.166619i | ||||
\(607\) | 21.7054 | − | 6.37329i | 0.880996 | − | 0.258684i | 0.190210 | − | 0.981743i | \(-0.439083\pi\) |
0.690786 | + | 0.723059i | \(0.257265\pi\) | |||||||
\(608\) | −11.3298 | − | 13.0752i | −0.459482 | − | 0.530271i | ||||
\(609\) | 6.01526 | − | 3.86577i | 0.243751 | − | 0.156649i | ||||
\(610\) | 37.8131 | − | 24.3010i | 1.53101 | − | 0.983920i | ||||
\(611\) | 7.25007 | + | 8.36702i | 0.293306 | + | 0.338494i | ||||
\(612\) | 2.55789 | − | 0.751063i | 0.103396 | − | 0.0303599i | ||||
\(613\) | 4.71172 | − | 32.7707i | 0.190304 | − | 1.32360i | −0.640898 | − | 0.767626i | \(-0.721438\pi\) |
0.831202 | − | 0.555970i | \(-0.187653\pi\) | |||||||
\(614\) | 11.6063 | − | 13.3944i | 0.468393 | − | 0.540554i | ||||
\(615\) | 4.85268 | − | 10.6259i | 0.195679 | − | 0.428477i | ||||
\(616\) | 3.52828 | + | 1.03600i | 0.142158 | + | 0.0417415i | ||||
\(617\) | 5.18384 | + | 11.3510i | 0.208693 | + | 0.456975i | 0.984815 | − | 0.173609i | \(-0.0555429\pi\) |
−0.776121 | + | 0.630584i | \(0.782816\pi\) | |||||||
\(618\) | 0.0530771 | + | 0.369159i | 0.00213507 | + | 0.0148498i | ||||
\(619\) | 29.4730 | + | 18.9412i | 1.18462 | + | 0.761310i | 0.976230 | − | 0.216736i | \(-0.0695411\pi\) |
0.208391 | + | 0.978046i | \(0.433177\pi\) | |||||||
\(620\) | 10.2376 | 0.411153 | ||||||||
\(621\) | 4.76890 | + | 0.507539i | 0.191369 | + | 0.0203669i | ||||
\(622\) | −8.85398 | −0.355012 | ||||||||
\(623\) | 2.13838 | + | 1.37425i | 0.0856723 | + | 0.0550583i | ||||
\(624\) | 2.88278 | + | 20.0502i | 0.115403 | + | 0.802649i | ||||
\(625\) | −12.5181 | − | 27.4109i | −0.500726 | − | 1.09644i | ||||
\(626\) | −18.0857 | − | 5.31044i | −0.722849 | − | 0.212248i | ||||
\(627\) | −3.41783 | + | 7.48400i | −0.136495 | + | 0.298882i | ||||
\(628\) | −2.15171 | + | 2.48321i | −0.0858626 | + | 0.0990907i | ||||
\(629\) | −5.79417 | + | 40.2993i | −0.231029 | + | 1.60684i | ||||
\(630\) | 4.32297 | − | 1.26934i | 0.172231 | − | 0.0505717i | ||||
\(631\) | −19.9919 | − | 23.0718i | −0.795864 | − | 0.918476i | 0.202283 | − | 0.979327i | \(-0.435164\pi\) |
−0.998147 | + | 0.0608514i | \(0.980618\pi\) | |||||||
\(632\) | −10.6591 | + | 6.85016i | −0.423994 | + | 0.272485i | ||||
\(633\) | 5.97702 | − | 3.84120i | 0.237565 | − | 0.152674i | ||||
\(634\) | −35.4925 | − | 40.9606i | −1.40959 | − | 1.62675i | ||||
\(635\) | −6.58019 | + | 1.93212i | −0.261127 | + | 0.0766737i | ||||
\(636\) | −0.804404 | + | 5.59475i | −0.0318967 | + | 0.221846i | ||||
\(637\) | −15.9526 | + | 18.4102i | −0.632063 | + | 0.729440i | ||||
\(638\) | −6.04473 | + | 13.2361i | −0.239313 | + | 0.524022i | ||||
\(639\) | −3.71963 | − | 1.09218i | −0.147146 | − | 0.0432061i | ||||
\(640\) | 14.3994 | + | 31.5302i | 0.569185 | + | 1.24634i | ||||
\(641\) | −2.24966 | − | 15.6467i | −0.0888563 | − | 0.618009i | −0.984781 | − | 0.173802i | \(-0.944395\pi\) |
0.895924 | − | 0.444207i | \(-0.146514\pi\) | |||||||
\(642\) | −1.92518 | − | 1.23724i | −0.0759808 | − | 0.0488299i | ||||
\(643\) | −21.2193 | −0.836809 | −0.418404 | − | 0.908261i | \(-0.637411\pi\) | ||||
−0.418404 | + | 0.908261i | \(0.637411\pi\) | |||||||
\(644\) | −2.11560 | + | 1.97393i | −0.0833664 | + | 0.0777839i | ||||
\(645\) | −5.13895 | −0.202346 | ||||||||
\(646\) | 38.2014 | + | 24.5506i | 1.50302 | + | 0.965929i | ||||
\(647\) | −4.95569 | − | 34.4676i | −0.194828 | − | 1.35506i | −0.819009 | − | 0.573781i | \(-0.805476\pi\) |
0.624180 | − | 0.781280i | \(-0.285433\pi\) | |||||||
\(648\) | −0.965688 | − | 2.11456i | −0.0379358 | − | 0.0830678i | ||||
\(649\) | 16.3315 | + | 4.79537i | 0.641069 | + | 0.188235i | ||||
\(650\) | −4.04322 | + | 8.85341i | −0.158588 | + | 0.347259i | ||||
\(651\) | −5.42515 | + | 6.26095i | −0.212628 | + | 0.245386i | ||||
\(652\) | −1.28818 | + | 8.95946i | −0.0504489 | + | 0.350879i | ||||
\(653\) | −27.2447 | + | 7.99978i | −1.06617 | + | 0.313056i | −0.767333 | − | 0.641249i | \(-0.778417\pi\) |
−0.298836 | + | 0.954304i | \(0.596598\pi\) | |||||||
\(654\) | −14.8868 | − | 17.1802i | −0.582118 | − | 0.671800i | ||||
\(655\) | 15.1116 | − | 9.71161i | 0.590458 | − | 0.379464i | ||||
\(656\) | 18.5445 | − | 11.9178i | 0.724040 | − | 0.465312i | ||||
\(657\) | 8.07710 | + | 9.32147i | 0.315118 | + | 0.363665i | ||||
\(658\) | 4.45865 | − | 1.30918i | 0.173816 | − | 0.0510370i | ||||
\(659\) | 2.80223 | − | 19.4899i | 0.109159 | − | 0.759220i | −0.859555 | − | 0.511043i | \(-0.829259\pi\) |
0.968715 | − | 0.248177i | \(-0.0798315\pi\) | |||||||
\(660\) | −1.28012 | + | 1.47734i | −0.0498288 | + | 0.0575055i | ||||
\(661\) | 12.3026 | − | 26.9390i | 0.478517 | − | 1.04781i | −0.504351 | − | 0.863499i | \(-0.668268\pi\) |
0.982869 | − | 0.184308i | \(-0.0590044\pi\) | |||||||
\(662\) | 10.1491 | + | 2.98005i | 0.394457 | + | 0.115823i | ||||
\(663\) | −8.64103 | − | 18.9212i | −0.335590 | − | 0.734839i | ||||
\(664\) | −0.517344 | − | 3.59821i | −0.0200768 | − | 0.139638i | ||||
\(665\) | 13.7650 | + | 8.84624i | 0.533785 | + | 0.343043i | ||||
\(666\) | −13.1962 | −0.511343 | ||||||||
\(667\) | 17.5950 | + | 25.2838i | 0.681282 | + | 0.978992i | ||||
\(668\) | 11.0118 | 0.426059 | ||||||||
\(669\) | 4.29124 | + | 2.75781i | 0.165909 | + | 0.106623i | ||||
\(670\) | 6.56029 | + | 45.6278i | 0.253446 | + | 1.76276i | ||||
\(671\) | −6.55577 | − | 14.3551i | −0.253083 | − | 0.554174i | ||||
\(672\) | 3.19162 | + | 0.937146i | 0.123120 | + | 0.0361512i | ||||
\(673\) | −11.3169 | + | 24.7806i | −0.436236 | + | 0.955224i | 0.556038 | + | 0.831157i | \(0.312321\pi\) |
−0.992274 | + | 0.124067i | \(0.960406\pi\) | |||||||
\(674\) | −18.3627 | + | 21.1916i | −0.707303 | + | 0.816271i | ||||
\(675\) | 0.205449 | − | 1.42893i | 0.00790772 | − | 0.0549994i | ||||
\(676\) | −2.53864 | + | 0.745411i | −0.0976398 | + | 0.0286696i | ||||
\(677\) | 1.41937 | + | 1.63804i | 0.0545510 | + | 0.0629552i | 0.782369 | − | 0.622815i | \(-0.214011\pi\) |
−0.727818 | + | 0.685770i | \(0.759466\pi\) | |||||||
\(678\) | −6.16643 | + | 3.96293i | −0.236820 | + | 0.152195i | ||||
\(679\) | 8.19589 | − | 5.26718i | 0.314529 | − | 0.202136i | ||||
\(680\) | −19.0083 | − | 21.9368i | −0.728937 | − | 0.841238i | ||||
\(681\) | −13.4107 | + | 3.93772i | −0.513897 | + | 0.150894i | ||||
\(682\) | 2.39927 | − | 16.6873i | 0.0918729 | − | 0.638990i | ||||
\(683\) | −6.60252 | + | 7.61971i | −0.252638 | + | 0.291560i | −0.867875 | − | 0.496782i | \(-0.834515\pi\) |
0.615237 | + | 0.788342i | \(0.289060\pi\) | |||||||
\(684\) | −1.30358 | + | 2.85445i | −0.0498438 | + | 0.109143i | ||||
\(685\) | 11.8143 | + | 3.46899i | 0.451401 | + | 0.132543i | ||||
\(686\) | 9.40875 | + | 20.6023i | 0.359228 | + | 0.786599i | ||||
\(687\) | 0.361085 | + | 2.51140i | 0.0137763 | + | 0.0958161i | ||||
\(688\) | −8.15811 | − | 5.24290i | −0.311025 | − | 0.199884i | ||||
\(689\) | 44.1030 | 1.68019 | ||||||||
\(690\) | 6.14923 | + | 18.4096i | 0.234097 | + | 0.700841i | ||||
\(691\) | −31.1667 | −1.18564 | −0.592819 | − | 0.805336i | \(-0.701985\pi\) | ||||
−0.592819 | + | 0.805336i | \(0.701985\pi\) | |||||||
\(692\) | −0.885339 | − | 0.568973i | −0.0336556 | − | 0.0216291i | ||||
\(693\) | −0.225121 | − | 1.56575i | −0.00855165 | − | 0.0594780i | ||||
\(694\) | −1.93357 | − | 4.23393i | −0.0733974 | − | 0.160718i | ||||
\(695\) | 48.9545 | + | 14.3743i | 1.85695 | + | 0.545250i | ||||
\(696\) | 6.20259 | − | 13.5818i | 0.235108 | − | 0.514816i | ||||
\(697\) | −14.8238 | + | 17.1075i | −0.561490 | + | 0.647994i | ||||
\(698\) | 0.534705 | − | 3.71895i | 0.0202389 | − | 0.140764i | ||||
\(699\) | 1.17974 | − | 0.346402i | 0.0446217 | − | 0.0131021i | ||||
\(700\) | 0.570371 | + | 0.658244i | 0.0215580 | + | 0.0248793i | ||||
\(701\) | −38.9312 | + | 25.0196i | −1.47041 | + | 0.944976i | −0.472436 | + | 0.881365i | \(0.656625\pi\) |
−0.997975 | + | 0.0636110i | \(0.979738\pi\) | |||||||
\(702\) | 5.67177 | − | 3.64502i | 0.214067 | − | 0.137573i | ||||
\(703\) | −31.3840 | − | 36.2190i | −1.18367 | − | 1.36603i | ||||
\(704\) | 6.56671 | − | 1.92816i | 0.247492 | − | 0.0726702i | ||||
\(705\) | 0.945803 | − | 6.57820i | 0.0356210 | − | 0.247749i | ||||
\(706\) | −2.23378 | + | 2.57792i | −0.0840694 | + | 0.0970212i | ||||
\(707\) | −1.20197 | + | 2.63195i | −0.0452048 | + | 0.0989848i | ||||
\(708\) | 6.22896 | + | 1.82899i | 0.234099 | + | 0.0687376i | ||||
\(709\) | −12.0747 | − | 26.4398i | −0.453474 | − | 0.992969i | −0.988927 | − | 0.148404i | \(-0.952586\pi\) |
0.535453 | − | 0.844565i | \(-0.320141\pi\) | |||||||
\(710\) | −2.23284 | − | 15.5297i | −0.0837969 | − | 0.582820i | ||||
\(711\) | 4.58526 | + | 2.94677i | 0.171961 | + | 0.110512i | ||||
\(712\) | 5.30787 | 0.198921 | ||||||||
\(713\) | −27.8129 | − | 22.3640i | −1.04160 | − | 0.837537i | ||||
\(714\) | −8.73075 | −0.326740 | ||||||||
\(715\) | 12.8314 | + | 8.24624i | 0.479867 | + | 0.308392i | ||||
\(716\) | 1.35189 | + | 9.40263i | 0.0505227 | + | 0.351393i | ||||
\(717\) | 4.20594 | + | 9.20972i | 0.157074 | + | 0.343943i | ||||
\(718\) | 28.9584 | + | 8.50294i | 1.08072 | + | 0.317327i | ||||
\(719\) | −15.2511 | + | 33.3953i | −0.568771 | + | 1.24543i | 0.378678 | + | 0.925528i | \(0.376379\pi\) |
−0.947449 | + | 0.319906i | \(0.896349\pi\) | |||||||
\(720\) | 7.96283 | − | 9.18959i | 0.296757 | − | 0.342476i | ||||
\(721\) | 0.0370608 | − | 0.257764i | 0.00138022 | − | 0.00959962i | ||||
\(722\) | −22.2220 | + | 6.52496i | −0.827016 | + | 0.242834i | ||||
\(723\) | 13.2101 | + | 15.2452i | 0.491288 | + | 0.566976i | ||||
\(724\) | 5.94142 | − | 3.81832i | 0.220811 | − | 0.141907i | ||||
\(725\) | 7.80038 | − | 5.01300i | 0.289699 | − | 0.186178i | ||||
\(726\) | −9.37680 | − | 10.8214i | −0.348006 | − | 0.401620i | ||||
\(727\) | −32.4087 | + | 9.51604i | −1.20197 | + | 0.352930i | −0.820606 | − | 0.571494i | \(-0.806364\pi\) |
−0.381365 | + | 0.924425i | \(0.624546\pi\) | |||||||
\(728\) | 1.55742 | − | 10.8321i | 0.0577216 | − | 0.401463i | ||||
\(729\) | −0.654861 | + | 0.755750i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | −20.7366 | + | 45.4068i | −0.767496 | + | 1.68058i | ||||
\(731\) | 9.55492 | + | 2.80558i | 0.353401 | + | 0.103768i | ||||
\(732\) | −2.50042 | − | 5.47515i | −0.0924181 | − | 0.202367i | ||||
\(733\) | −6.86590 | − | 47.7534i | −0.253598 | − | 1.76381i | −0.576231 | − | 0.817287i | \(-0.695477\pi\) |
0.322633 | − | 0.946524i | \(-0.395432\pi\) | |||||||
\(734\) | 10.4034 | + | 6.68587i | 0.383997 | + | 0.246780i | ||||
\(735\) | 14.6231 | 0.539380 | ||||||||
\(736\) | −3.52898 | + | 13.8885i | −0.130080 | + | 0.511938i | ||||
\(737\) | 16.1845 | 0.596162 | ||||||||
\(738\) | −6.17227 | − | 3.96668i | −0.227204 | − | 0.146015i | ||||
\(739\) | 6.09629 | + | 42.4006i | 0.224256 | + | 1.55973i | 0.721681 | + | 0.692226i | \(0.243370\pi\) |
−0.497426 | + | 0.867507i | \(0.665721\pi\) | |||||||
\(740\) | −4.73017 | − | 10.3576i | −0.173884 | − | 0.380754i | ||||
\(741\) | 23.4932 | + | 6.89823i | 0.863045 | + | 0.253413i | ||||
\(742\) | 7.68986 | − | 16.8384i | 0.282304 | − | 0.618159i | ||||
\(743\) | 19.8927 | − | 22.9574i | 0.729791 | − | 0.842224i | −0.262657 | − | 0.964889i | \(-0.584599\pi\) |
0.992448 | + | 0.122665i | \(0.0391442\pi\) | |||||||
\(744\) | −2.46193 | + | 17.1231i | −0.0902587 | + | 0.627763i | ||||
\(745\) | −18.5098 | + | 5.43495i | −0.678145 | + | 0.199121i | ||||
\(746\) | 20.5156 | + | 23.6762i | 0.751128 | + | 0.866848i | ||||
\(747\) | −1.31553 | + | 0.845441i | −0.0481328 | + | 0.0309331i | ||||
\(748\) | 3.18670 | − | 2.04797i | 0.116517 | − | 0.0748811i | ||||
\(749\) | 1.04641 | + | 1.20762i | 0.0382350 | + | 0.0441255i | ||||
\(750\) | −13.8102 | + | 4.05503i | −0.504276 | + | 0.148069i | ||||
\(751\) | −2.45871 | + | 17.1007i | −0.0897196 | + | 0.624014i | 0.894501 | + | 0.447067i | \(0.147531\pi\) |
−0.984220 | + | 0.176947i | \(0.943378\pi\) | |||||||
\(752\) | 8.21273 | − | 9.47800i | 0.299487 | − | 0.345627i | ||||
\(753\) | 6.64053 | − | 14.5407i | 0.241995 | − | 0.529894i | ||||
\(754\) | 41.5498 | + | 12.2001i | 1.51316 | + | 0.444303i | ||||
\(755\) | 12.6376 | + | 27.6725i | 0.459930 | + | 1.00711i | ||||
\(756\) | −0.0858629 | − | 0.597190i | −0.00312280 | − | 0.0217196i | ||||
\(757\) | 24.9051 | + | 16.0055i | 0.905190 | + | 0.581730i | 0.908325 | − | 0.418265i | \(-0.137362\pi\) |
−0.00313505 | + | 0.999995i | \(0.500998\pi\) | |||||||
\(758\) | −15.3247 | −0.556618 | ||||||||
\(759\) | 6.70500 | − | 1.21714i | 0.243376 | − | 0.0441793i | ||||
\(760\) | 34.1675 | 1.23938 | ||||||||
\(761\) | 9.58484 | + | 6.15980i | 0.347450 | + | 0.223293i | 0.702712 | − | 0.711474i | \(-0.251972\pi\) |
−0.355262 | + | 0.934767i | \(0.615608\pi\) | |||||||
\(762\) | 0.613007 | + | 4.26356i | 0.0222069 | + | 0.154452i | ||||
\(763\) | 6.59388 | + | 14.4386i | 0.238715 | + | 0.522712i | ||||
\(764\) | −7.34139 | − | 2.15563i | −0.265602 | − | 0.0779879i | ||||
\(765\) | −5.18708 | + | 11.3581i | −0.187539 | + | 0.410654i | ||||
\(766\) | 2.22422 | − | 2.56688i | 0.0803642 | − | 0.0927453i | ||||
\(767\) | 7.20889 | − | 50.1389i | 0.260298 | − | 1.81041i | ||||
\(768\) | 11.6464 | − | 3.41970i | 0.420255 | − | 0.123398i | ||||
\(769\) | 9.41495 | + | 10.8654i | 0.339512 | + | 0.391818i | 0.899672 | − | 0.436567i | \(-0.143806\pi\) |
−0.560160 | + | 0.828384i | \(0.689260\pi\) | |||||||
\(770\) | 5.38570 | − | 3.46118i | 0.194087 | − | 0.124732i | ||||
\(771\) | 18.2686 | − | 11.7405i | 0.657929 | − | 0.422825i | ||||
\(772\) | −4.31144 | − | 4.97567i | −0.155172 | − | 0.179078i | ||||
\(773\) | 18.8601 | − | 5.53781i | 0.678349 | − | 0.199181i | 0.0756315 | − | 0.997136i | \(-0.475903\pi\) |
0.602718 | + | 0.797955i | \(0.294085\pi\) | |||||||
\(774\) | −0.459350 | + | 3.19485i | −0.0165110 | + | 0.114837i | ||||
\(775\) | −7.03514 | + | 8.11899i | −0.252710 | + | 0.291643i | ||||
\(776\) | 8.45112 | − | 18.5054i | 0.303378 | − | 0.664304i | ||||
\(777\) | 8.84095 | + | 2.59594i | 0.317167 | + | 0.0931288i | ||||
\(778\) | −22.1885 | − | 48.5860i | −0.795495 | − | 1.74189i | ||||
\(779\) | −3.79208 | − | 26.3745i | −0.135865 | − | 0.944964i | ||||
\(780\) | 4.89399 | + | 3.14518i | 0.175233 | + | 0.112615i | ||||
\(781\) | −5.50849 | −0.197109 | ||||||||
\(782\) | −1.38274 | − | 37.5863i | −0.0494467 | − | 1.34408i | ||||
\(783\) | −6.42297 | −0.229538 | ||||||||
\(784\) | 23.2142 | + | 14.9189i | 0.829079 | + | 0.532817i | ||||
\(785\) | −2.19021 | − | 15.2333i | −0.0781720 | − | 0.543698i | ||||
\(786\) | −4.68688 | − | 10.2628i | −0.167175 | − | 0.366063i | ||||
\(787\) | 3.23609 | + | 0.950203i | 0.115354 | + | 0.0338711i | 0.338900 | − | 0.940822i | \(-0.389945\pi\) |
−0.223546 | + | 0.974693i | \(0.571763\pi\) | |||||||
\(788\) | −0.986953 | + | 2.16113i | −0.0351587 | + | 0.0769869i | ||||
\(789\) | −10.5941 | + | 12.2263i | −0.377161 | + | 0.435267i | ||||
\(790\) | −3.13932 | + | 21.8345i | −0.111692 | + | 0.776836i | ||||
\(791\) | 4.91085 | − | 1.44196i | 0.174610 | − | 0.0512701i | ||||
\(792\) | −2.16311 | − | 2.49636i | −0.0768627 | − | 0.0887043i | ||||
\(793\) | −39.5095 | + | 25.3912i | −1.40302 | + | 0.901668i | ||||
\(794\) | 29.3852 | − | 18.8847i | 1.04284 | − | 0.670193i | ||||
\(795\) | −17.3370 | − | 20.0080i | −0.614881 | − | 0.709610i | ||||
\(796\) | −8.83348 | + | 2.59375i | −0.313095 | + | 0.0919329i | ||||
\(797\) | −5.63539 | + | 39.1950i | −0.199616 | + | 1.38836i | 0.605785 | + | 0.795629i | \(0.292859\pi\) |
−0.805401 | + | 0.592731i | \(0.798050\pi\) | |||||||
\(798\) | 6.73004 | − | 7.76689i | 0.238241 | − | 0.274945i | ||||
\(799\) | −5.34987 | + | 11.7146i | −0.189265 | + | 0.414432i | ||||
\(800\) | 4.13879 | + | 1.21526i | 0.146328 | + | 0.0429659i | ||||
\(801\) | −0.948523 | − | 2.07698i | −0.0335144 | − | 0.0733864i | ||||
\(802\) | 1.39598 | + | 9.70927i | 0.0492939 | + | 0.342846i | ||||
\(803\) | 14.7438 | + | 9.47524i | 0.520296 | + | 0.334374i | ||||
\(804\) | 6.17287 | 0.217700 | ||||||||
\(805\) | −0.498240 | − | 13.5434i | −0.0175606 | − | 0.477341i | ||||
\(806\) | −50.1721 | −1.76724 | ||||||||
\(807\) | −1.63461 | − | 1.05050i | −0.0575410 | − | 0.0369794i | ||||
\(808\) | 0.859856 | + | 5.98043i | 0.0302496 | + | 0.210391i | ||||
\(809\) | −11.4426 | − | 25.0557i | −0.402299 | − | 0.880911i | −0.997032 | − | 0.0769883i | \(-0.975470\pi\) |
0.594733 | − | 0.803923i | \(-0.297258\pi\) | |||||||
\(810\) | −3.88321 | − | 1.14021i | −0.136442 | − | 0.0400630i | ||||
\(811\) | −21.5220 | + | 47.1265i | −0.755738 | + | 1.65484i | 3.37537e−5 | 1.00000i | \(0.499989\pi\) | |
−0.755772 | + | 0.654835i | \(0.772738\pi\) | |||||||
\(812\) | 2.53770 | − | 2.92866i | 0.0890558 | − | 0.102776i | ||||
\(813\) | 0.704317 | − | 4.89863i | 0.0247015 | − | 0.171803i | ||||
\(814\) | −17.9914 | + | 5.28276i | −0.630600 | + | 0.185161i | ||||
\(815\) | −27.7636 | − | 32.0409i | −0.972515 | − | 1.12234i | ||||
\(816\) | −19.8224 | + | 12.7391i | −0.693922 | + | 0.445957i | ||||
\(817\) | −9.86120 | + | 6.33741i | −0.345000 | + | 0.221718i | ||||
\(818\) | −3.84513 | − | 4.43752i | −0.134442 | − | 0.155154i | ||||
\(819\) | −4.51691 | + | 1.32628i | −0.157834 | + | 0.0463441i | ||||
\(820\) | 0.900975 | − | 6.26642i | 0.0314634 | − | 0.218833i | ||||
\(821\) | 18.2431 | − | 21.0537i | 0.636690 | − | 0.734779i | −0.342096 | − | 0.939665i | \(-0.611137\pi\) |
0.978786 | + | 0.204886i | \(0.0656823\pi\) | |||||||
\(822\) | 3.21268 | − | 7.03479i | 0.112055 | − | 0.245366i | ||||
\(823\) | 2.61020 | + | 0.766425i | 0.0909860 | + | 0.0267159i | 0.326909 | − | 0.945056i | \(-0.393993\pi\) |
−0.235923 | + | 0.971772i | \(0.575811\pi\) | |||||||
\(824\) | −0.225897 | − | 0.494645i | −0.00786948 | − | 0.0172318i | ||||
\(825\) | −0.291930 | − | 2.03041i | −0.0101637 | − | 0.0706900i | ||||
\(826\) | −17.8860 | − | 11.4946i | −0.622333 | − | 0.399949i | ||||
\(827\) | −24.9432 | −0.867361 | −0.433680 | − | 0.901067i | \(-0.642785\pi\) | ||||
−0.433680 | + | 0.901067i | \(0.642785\pi\) | |||||||
\(828\) | 2.55733 | − | 0.464225i | 0.0888735 | − | 0.0161329i | ||||
\(829\) | 12.8583 | 0.446587 | 0.223294 | − | 0.974751i | \(-0.428319\pi\) | ||||
0.223294 | + | 0.974751i | \(0.428319\pi\) | |||||||
\(830\) | −5.32415 | − | 3.42162i | −0.184804 | − | 0.118766i | ||||
\(831\) | 2.90105 | + | 20.1773i | 0.100636 | + | 0.699941i | ||||
\(832\) | −8.46099 | − | 18.5270i | −0.293332 | − | 0.642307i | ||||
\(833\) | −27.1889 | − | 7.98337i | −0.942038 | − | 0.276607i | ||||
\(834\) | 13.3123 | − | 29.1498i | 0.460966 | − | 1.00937i | ||||
\(835\) | −33.7760 | + | 38.9796i | −1.16887 | + | 1.34894i | ||||
\(836\) | −0.634573 | + | 4.41355i | −0.0219472 | + | 0.152646i | ||||
\(837\) | 7.14024 | − | 2.09656i | 0.246803 | − | 0.0724678i | ||||
\(838\) | −37.7020 | − | 43.5104i | −1.30239 | − | 1.50304i | ||||
\(839\) | −18.8338 | + | 12.1037i | −0.650215 | + | 0.417868i | −0.823745 | − | 0.566961i | \(-0.808119\pi\) |
0.173530 | + | 0.984829i | \(0.444483\pi\) | |||||||
\(840\) | −5.52635 | + | 3.55157i | −0.190677 | + | 0.122541i | ||||
\(841\) | −8.02501 | − | 9.26136i | −0.276725 | − | 0.319357i | ||||
\(842\) | 29.7094 | − | 8.72348i | 1.02386 | − | 0.300631i | ||||
\(843\) | −2.93904 | + | 20.4415i | −0.101226 | + | 0.704043i | ||||
\(844\) | 2.52157 | − | 2.91004i | 0.0867959 | − | 0.100168i | ||||
\(845\) | 5.14804 | − | 11.2726i | 0.177098 | − | 0.387790i | ||||
\(846\) | −4.00508 | − | 1.17600i | −0.137697 | − | 0.0404316i | ||||
\(847\) | 4.15332 | + | 9.09451i | 0.142710 | + | 0.312491i | ||||
\(848\) | −7.10991 | − | 49.4505i | −0.244155 | − | 1.69814i | ||||
\(849\) | 14.2026 | + | 9.12747i | 0.487433 | + | 0.313254i | ||||
\(850\) | −11.3217 | −0.388332 | ||||||||
\(851\) | −9.77545 | + | 38.4719i | −0.335098 | + | 1.31880i | ||||
\(852\) | −2.10098 | −0.0719783 | ||||||||
\(853\) | −14.5528 | − | 9.35253i | −0.498279 | − | 0.320225i | 0.267248 | − | 0.963628i | \(-0.413886\pi\) |
−0.765528 | + | 0.643403i | \(0.777522\pi\) | |||||||
\(854\) | 2.80539 | + | 19.5119i | 0.0959984 | + | 0.667683i | ||||
\(855\) | −6.10577 | − | 13.3698i | −0.208813 | − | 0.457236i | ||||
\(856\) | 3.20153 | + | 0.940053i | 0.109426 | + | 0.0321304i | ||||
\(857\) | −16.9466 | + | 37.1078i | −0.578884 | + | 1.26758i | 0.363047 | + | 0.931771i | \(0.381737\pi\) |
−0.941931 | + | 0.335808i | \(0.890991\pi\) | |||||||
\(858\) | 6.27358 | − | 7.24009i | 0.214176 | − | 0.247173i | ||||
\(859\) | 0.928129 | − | 6.45528i | 0.0316674 | − | 0.220251i | −0.967842 | − | 0.251557i | \(-0.919057\pi\) |
0.999510 | + | 0.0313056i | \(0.00996651\pi\) | |||||||
\(860\) | −2.67227 | + | 0.784649i | −0.0911236 | + | 0.0267563i | ||||
\(861\) | 3.35486 | + | 3.87172i | 0.114333 | + | 0.131948i | ||||
\(862\) | 6.88419 | − | 4.42420i | 0.234477 | − | 0.150689i | ||||
\(863\) | −5.31084 | + | 3.41307i | −0.180783 | + | 0.116182i | −0.627902 | − | 0.778292i | \(-0.716086\pi\) |
0.447119 | + | 0.894474i | \(0.352450\pi\) | |||||||
\(864\) | −1.95671 | − | 2.25817i | −0.0665687 | − | 0.0768244i | ||||
\(865\) | 4.72962 | − | 1.38874i | 0.160812 | − | 0.0472186i | ||||
\(866\) | 3.76121 | − | 26.1598i | 0.127811 | − | 0.888945i | ||||
\(867\) | 4.71265 | − | 5.43869i | 0.160050 | − | 0.184708i | ||||
\(868\) | −1.86513 | + | 4.08406i | −0.0633065 | + | 0.138622i | ||||
\(869\) | 7.43110 | + | 2.18197i | 0.252083 | + | 0.0740182i | ||||
\(870\) | −10.7986 | − | 23.6456i | −0.366106 | − | 0.801661i | ||||
\(871\) | −6.85459 | − | 47.6747i | −0.232259 | − | 1.61540i | ||||
\(872\) | 27.8836 | + | 17.9197i | 0.944258 | + | 0.606838i | ||||
\(873\) | −8.75140 | −0.296190 | ||||||||
\(874\) | 34.5027 | + | 27.7431i | 1.16707 | + | 0.938425i | ||||
\(875\) | 10.0500 | 0.339751 | ||||||||
\(876\) | 5.62338 | + | 3.61393i | 0.189996 | + | 0.122103i | ||||
\(877\) | −5.81597 | − | 40.4510i | −0.196391 | − | 1.36593i | −0.814648 | − | 0.579956i | \(-0.803070\pi\) |
0.618256 | − | 0.785977i | \(-0.287839\pi\) | |||||||
\(878\) | 0.829810 | + | 1.81703i | 0.0280047 | + | 0.0613218i | ||||
\(879\) | −17.9061 | − | 5.25771i | −0.603958 | − | 0.177338i | ||||
\(880\) | 7.17753 | − | 15.7166i | 0.241955 | − | 0.529806i | ||||
\(881\) | −1.52108 | + | 1.75542i | −0.0512464 | + | 0.0591415i | −0.780794 | − | 0.624789i | \(-0.785185\pi\) |
0.729548 | + | 0.683930i | \(0.239731\pi\) | |||||||
\(882\) | 1.30710 | − | 9.09106i | 0.0440123 | − | 0.306112i | ||||
\(883\) | 29.7689 | − | 8.74095i | 1.00180 | − | 0.294156i | 0.260608 | − | 0.965445i | \(-0.416077\pi\) |
0.741196 | + | 0.671288i | \(0.234259\pi\) | |||||||
\(884\) | −7.38237 | − | 8.51971i | −0.248296 | − | 0.286549i | ||||
\(885\) | −25.5801 | + | 16.4393i | −0.859866 | + | 0.552602i | ||||
\(886\) | −28.5644 | + | 18.3572i | −0.959638 | + | 0.616722i | ||||
\(887\) | 26.3245 | + | 30.3800i | 0.883889 | + | 1.02006i | 0.999641 | + | 0.0267839i | \(0.00852660\pi\) |
−0.115752 | + | 0.993278i | \(0.536928\pi\) | |||||||
\(888\) | 18.4613 | − | 5.42072i | 0.619520 | − | 0.181908i | ||||
\(889\) | 0.428029 | − | 2.97701i | 0.0143556 | − | 0.0998457i | ||||
\(890\) | 6.05151 | − | 6.98381i | 0.202847 | − | 0.234098i | ||||
\(891\) | −0.590278 | + | 1.29253i | −0.0197751 | + | 0.0433014i | ||||
\(892\) | 2.65254 | + | 0.778855i | 0.0888135 | + | 0.0260780i | ||||
\(893\) | −6.29739 | − | 13.7894i | −0.210734 | − | 0.461444i | ||||
\(894\) | 1.72436 | + | 11.9932i | 0.0576712 | + | 0.401112i | ||||
\(895\) | −37.4301 | − | 24.0548i | −1.25115 | − | 0.804065i | ||||
\(896\) | −15.2016 | −0.507849 | ||||||||
\(897\) | −6.42509 | − | 19.2355i | −0.214528 | − | 0.642254i | ||||
\(898\) | −13.1814 | −0.439869 | ||||||||
\(899\) | 40.2100 | + | 25.8414i | 1.34108 | + | 0.861858i | ||||
\(900\) | −0.111344 | − | 0.774415i | −0.00371147 | − | 0.0258138i | ||||
\(901\) | 21.3117 | + | 46.6661i | 0.709996 | + | 1.55467i | ||||
\(902\) | −10.0031 | − | 2.93717i | −0.333067 | − | 0.0977972i | ||||
\(903\) | 0.936232 | − | 2.05006i | 0.0311559 | − | 0.0682218i | ||||
\(904\) | 6.99885 | − | 8.07711i | 0.232778 | − | 0.268641i | ||||
\(905\) | −4.70777 | + | 32.7433i | −0.156492 | + | 1.08842i | ||||
\(906\) | 18.3334 | − | 5.38319i | 0.609088 | − | 0.178844i | ||||
\(907\) | 22.4383 | + | 25.8952i | 0.745052 | + | 0.859836i | 0.994079 | − | 0.108661i | \(-0.0346562\pi\) |
−0.249027 | + | 0.968497i | \(0.580111\pi\) | |||||||
\(908\) | −6.37234 | + | 4.09525i | −0.211473 | + | 0.135906i | ||||
\(909\) | 2.18649 | − | 1.40517i | 0.0725213 | − | 0.0466066i | ||||
\(910\) | −12.4766 | − | 14.3988i | −0.413596 | − | 0.477316i | ||||
\(911\) | 45.0429 | − | 13.2258i | 1.49234 | − | 0.438190i | 0.569052 | − | 0.822302i | \(-0.307310\pi\) |
0.923287 | + | 0.384112i | \(0.125492\pi\) | |||||||
\(912\) | 3.94727 | − | 27.4539i | 0.130707 | − | 0.909088i | ||||
\(913\) | −1.45512 | + | 1.67930i | −0.0481574 | + | 0.0555766i | ||||
\(914\) | −10.1416 | + | 22.2070i | −0.335454 | + | 0.734542i | ||||
\(915\) | 27.0504 | + | 7.94271i | 0.894258 | + | 0.262578i | ||||
\(916\) | 0.571223 | + | 1.25080i | 0.0188737 | + | 0.0413277i | ||||
\(917\) | 1.12114 | + | 7.79769i | 0.0370233 | + | 0.257503i | ||||
\(918\) | 6.59761 | + | 4.24002i | 0.217753 | + | 0.139942i | ||||
\(919\) | 4.61902 | 0.152367 | 0.0761837 | − | 0.997094i | \(-0.475726\pi\) | ||||
0.0761837 | + | 0.997094i | \(0.475726\pi\) | |||||||
\(920\) | −16.1649 | − | 23.2287i | −0.532942 | − | 0.765829i | ||||
\(921\) | 11.1163 | 0.366296 | ||||||||
\(922\) | 38.4606 | + | 24.7171i | 1.26663 | + | 0.814016i | ||||
\(923\) | 2.33301 | + | 16.2264i | 0.0767918 | + | 0.534099i | ||||
\(924\) | −0.356133 | − | 0.779823i | −0.0117159 | − | 0.0256543i | ||||
\(925\) | 11.4646 | + | 3.36632i | 0.376955 | + | 0.110684i | ||||
\(926\) | −19.6436 | + | 43.0134i | −0.645528 | + | 1.41351i | ||||
\(927\) | −0.153187 | + | 0.176787i | −0.00503132 | + | 0.00580645i | ||||
\(928\) | 2.73127 | − | 18.9964i | 0.0896583 | − | 0.623587i | ||||
\(929\) | −9.97941 | + | 2.93022i | −0.327414 | + | 0.0961374i | −0.441309 | − | 0.897355i | \(-0.645486\pi\) |
0.113895 | + | 0.993493i | \(0.463667\pi\) | |||||||
\(930\) | 19.7228 | + | 22.7613i | 0.646736 | + | 0.746374i | ||||
\(931\) | 28.0604 | − | 18.0333i | 0.919642 | − | 0.591018i | ||||
\(932\) | 0.560575 | − | 0.360260i | 0.0183622 | − | 0.0118007i | ||||
\(933\) | −3.63667 | − | 4.19694i | −0.119059 | − | 0.137402i | ||||
\(934\) | 45.4119 | − | 13.3341i | 1.48592 | − | 0.436306i | ||||
\(935\) | −2.52502 | + | 17.5619i | −0.0825771 | + | 0.574336i | ||||
\(936\) | −6.43741 | + | 7.42917i | −0.210413 | + | 0.242830i | ||||
\(937\) | −17.1835 | + | 37.6266i | −0.561360 | + | 1.22921i | 0.389912 | + | 0.920852i | \(0.372506\pi\) |
−0.951272 | + | 0.308354i | \(0.900222\pi\) | |||||||
\(938\) | −19.3973 | − | 5.69556i | −0.633344 | − | 0.185967i | ||||
\(939\) | −4.91124 | − | 10.7541i | −0.160272 | − | 0.350947i | ||||
\(940\) | −0.512583 | − | 3.56509i | −0.0167186 | − | 0.116281i | ||||
\(941\) | 14.8142 | + | 9.52049i | 0.482928 | + | 0.310359i | 0.759356 | − | 0.650676i | \(-0.225514\pi\) |
−0.276428 | + | 0.961035i | \(0.589151\pi\) | |||||||
\(942\) | −9.66618 | −0.314941 | ||||||||
\(943\) | −16.1366 | + | 15.0560i | −0.525481 | + | 0.490292i | ||||
\(944\) | −57.3804 | −1.86757 | ||||||||
\(945\) | 2.37730 | + | 1.52780i | 0.0773335 | + | 0.0496992i | ||||
\(946\) | 0.652707 | + | 4.53968i | 0.0212213 | + | 0.147598i | ||||
\(947\) | 21.7975 | + | 47.7299i | 0.708324 | + | 1.55101i | 0.829578 | + | 0.558391i | \(0.188581\pi\) |
−0.121254 | + | 0.992622i | \(0.538691\pi\) | |||||||
\(948\) | 2.83428 | + | 0.832219i | 0.0920531 | + | 0.0270292i | ||||
\(949\) | 21.6669 | − | 47.4439i | 0.703337 | − | 1.54009i | ||||
\(950\) | 8.72729 | − | 10.0718i | 0.283151 | − | 0.326773i | ||||
\(951\) | 4.83787 | − | 33.6481i | 0.156879 | − | 1.09112i | ||||
\(952\) | 12.2142 | − | 3.58640i | 0.395863 | − | 0.116236i | ||||
\(953\) | −30.7502 | − | 35.4876i | −0.996095 | − | 1.14956i | −0.988749 | − | 0.149582i | \(-0.952207\pi\) |
−0.00734579 | − | 0.999973i | \(-0.502338\pi\) | |||||||
\(954\) | −13.9885 | + | 8.98987i | −0.452895 | + | 0.291058i | ||||
\(955\) | 30.1484 | − | 19.3752i | 0.975581 | − | 0.626968i | ||||
\(956\) | 3.59330 | + | 4.14689i | 0.116216 | + | 0.134120i | ||||
\(957\) | −8.75694 | + | 2.57127i | −0.283072 | + | 0.0831173i | ||||
\(958\) | 0.579956 | − | 4.03369i | 0.0187375 | − | 0.130322i | ||||
\(959\) | −3.53624 | + | 4.08104i | −0.114191 | + | 0.131784i | ||||
\(960\) | −5.07900 | + | 11.1215i | −0.163924 | + | 0.358944i | ||||
\(961\) | −23.3911 | − | 6.86823i | −0.754550 | − | 0.221556i | ||||
\(962\) | 23.1814 | + | 50.7601i | 0.747398 | + | 1.63657i | ||||
\(963\) | −0.204273 | − | 1.42075i | −0.00658260 | − | 0.0457830i | ||||
\(964\) | 9.19701 | + | 5.91056i | 0.296216 | + | 0.190366i | ||||
\(965\) | 30.8372 | 0.992684 | ||||||||
\(966\) | −8.46436 | − | 0.900836i | −0.272336 | − | 0.0289839i | ||||
\(967\) | −15.7485 | −0.506439 | −0.253220 | − | 0.967409i | \(-0.581490\pi\) | ||||
−0.253220 | + | 0.967409i | \(0.581490\pi\) | |||||||
\(968\) | 17.5632 | + | 11.2872i | 0.564502 | + | 0.362784i | ||||
\(969\) | 4.05340 | + | 28.1920i | 0.130214 | + | 0.905657i | ||||
\(970\) | −14.7133 | − | 32.2175i | −0.472414 | − | 1.03444i | ||||
\(971\) | −12.6784 | − | 3.72271i | −0.406868 | − | 0.119467i | 0.0718932 | − | 0.997412i | \(-0.477096\pi\) |
−0.478761 | + | 0.877945i | \(0.658914\pi\) | |||||||
\(972\) | −0.225136 | + | 0.492980i | −0.00722126 | + | 0.0158123i | ||||
\(973\) | −14.6530 | + | 16.9105i | −0.469754 | + | 0.542124i | ||||
\(974\) | −7.35883 | + | 51.1818i | −0.235792 | + | 1.63997i | ||||
\(975\) | −5.85737 | + | 1.71988i | −0.187586 | + | 0.0550802i | ||||
\(976\) | 34.8393 | + | 40.2067i | 1.11518 | + | 1.28698i | ||||
\(977\) | 50.0734 | − | 32.1802i | 1.60199 | − | 1.02954i | 0.635747 | − | 0.771897i | \(-0.280692\pi\) |
0.966241 | − | 0.257638i | \(-0.0829443\pi\) | |||||||
\(978\) | −22.4012 | + | 14.3964i | −0.716313 | + | 0.460346i | ||||
\(979\) | −2.12466 | − | 2.45199i | −0.0679044 | − | 0.0783659i | ||||
\(980\) | 7.60404 | − | 2.23275i | 0.242902 | − | 0.0713225i | ||||
\(981\) | 2.02916 | − | 14.1131i | 0.0647862 | − | 0.450598i | ||||
\(982\) | 6.35794 | − | 7.33745i | 0.202890 | − | 0.234148i | ||||
\(983\) | 16.7585 | − | 36.6960i | 0.534513 | − | 1.17042i | −0.429133 | − | 0.903241i | \(-0.641181\pi\) |
0.963647 | − | 0.267180i | \(-0.0860917\pi\) | |||||||
\(984\) | 10.2643 | + | 3.01388i | 0.327215 | + | 0.0960790i | ||||
\(985\) | −4.62272 | − | 10.1223i | −0.147292 | − | 0.322525i | ||||
\(986\) | 7.16879 | + | 49.8600i | 0.228301 | + | 1.58787i | ||||
\(987\) | 2.45191 | + | 1.57575i | 0.0780451 | + | 0.0501565i | ||||
\(988\) | 13.2698 | 0.422169 | ||||||||
\(989\) | 8.97391 | + | 3.70585i | 0.285354 | + | 0.117839i | ||||
\(990\) | −5.75074 | −0.182770 | ||||||||
\(991\) | −8.33633 | − | 5.35743i | −0.264812 | − | 0.170184i | 0.401496 | − | 0.915861i | \(-0.368490\pi\) |
−0.666309 | + | 0.745676i | \(0.732127\pi\) | |||||||
\(992\) | 3.16446 | + | 22.0093i | 0.100472 | + | 0.698795i | ||||
\(993\) | 2.75604 | + | 6.03488i | 0.0874602 | + | 0.191511i | ||||
\(994\) | 6.60200 | + | 1.93852i | 0.209403 | + | 0.0614862i | ||||
\(995\) | 17.9132 | − | 39.2245i | 0.567887 | − | 1.24350i | ||||
\(996\) | −0.554993 | + | 0.640496i | −0.0175856 | + | 0.0202949i | ||||
\(997\) | 2.26237 | − | 15.7351i | 0.0716499 | − | 0.498336i | −0.922122 | − | 0.386900i | \(-0.873546\pi\) |
0.993772 | − | 0.111436i | \(-0.0355450\pi\) | |||||||
\(998\) | −31.2676 | + | 9.18100i | −0.989759 | + | 0.290619i | ||||
\(999\) | −5.42019 | − | 6.25523i | −0.171487 | − | 0.197907i |
(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 | 69.2.e.b.25.1 | ✓ | 10 | |
3.2 | odd | 2 | 207.2.i.a.163.1 | 10 | |||
23.9 | even | 11 | 1587.2.a.q.1.4 | 5 | |||
23.12 | even | 11 | inner | 69.2.e.b.58.1 | yes | 10 | |
23.14 | odd | 22 | 1587.2.a.r.1.4 | 5 | |||
69.14 | even | 22 | 4761.2.a.bm.1.2 | 5 | |||
69.32 | odd | 22 | 4761.2.a.bp.1.2 | 5 | |||
69.35 | odd | 22 | 207.2.i.a.127.1 | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
69.2.e.b.25.1 | ✓ | 10 | 1.1 | even | 1 | trivial | |
69.2.e.b.58.1 | yes | 10 | 23.12 | even | 11 | inner | |
207.2.i.a.127.1 | 10 | 69.35 | odd | 22 | |||
207.2.i.a.163.1 | 10 | 3.2 | odd | 2 | |||
1587.2.a.q.1.4 | 5 | 23.9 | even | 11 | |||
1587.2.a.r.1.4 | 5 | 23.14 | odd | 22 | |||
4761.2.a.bm.1.2 | 5 | 69.14 | even | 22 | |||
4761.2.a.bp.1.2 | 5 | 69.32 | odd | 22 |