Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [495,2,Mod(91,495)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(495, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([0, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("495.91");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 495 = 3^{2} \cdot 5 \cdot 11 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 495.n (of order \(5\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.95259490005\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{5})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 2 x^{15} + 5 x^{14} - 8 x^{13} + 47 x^{12} + 32 x^{11} + 171 x^{10} + 26 x^{9} + 360 x^{8} + \cdots + 1 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{5}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{5}]$ |
Embedding invariants
Embedding label | 136.4 | ||
Root | \(0.431051 + 1.32664i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 495.136 |
Dual form | 495.2.n.h.91.4 |
$q$-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 \(\left(\mathbb{Z}/495\mathbb{Z}\right)^\times\).
\(n\) | \(46\) | \(56\) | \(397\) |
\(\chi(n)\) | \(e\left(\frac{1}{5}\right)\) | \(1\) | \(1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.93752 | + | 1.40769i | 1.37004 | + | 0.995390i | 0.997734 | + | 0.0672778i | \(0.0214314\pi\) |
0.372302 | + | 0.928112i | \(0.378569\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 1.15436 | + | 3.55277i | 0.577182 | + | 1.77638i | ||||
\(5\) | 0.809017 | − | 0.587785i | 0.361803 | − | 0.262866i | ||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.608715 | + | 1.87343i | 0.230073 | + | 0.708091i | 0.997737 | + | 0.0672388i | \(0.0214189\pi\) |
−0.767664 | + | 0.640852i | \(0.778581\pi\) | |||||||
\(8\) | −1.28446 | + | 3.95317i | −0.454126 | + | 1.39766i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.39491 | 0.757337 | ||||||||
\(11\) | −1.69771 | + | 2.84917i | −0.511880 | + | 0.859057i | ||||
\(12\) | 0 | 0 | ||||||||
\(13\) | −2.36251 | − | 1.71646i | −0.655241 | − | 0.476061i | 0.209811 | − | 0.977742i | \(-0.432715\pi\) |
−0.865053 | + | 0.501681i | \(0.832715\pi\) | |||||||
\(14\) | −1.45782 | + | 4.48671i | −0.389619 | + | 1.19912i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −2.00919 | + | 1.45977i | −0.502299 | + | 0.364941i | ||||
\(17\) | 5.35593 | − | 3.89131i | 1.29900 | − | 0.943782i | 0.299059 | − | 0.954235i | \(-0.403327\pi\) |
0.999945 | + | 0.0104529i | \(0.00332731\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −1.10014 | + | 3.38588i | −0.252389 | + | 0.776775i | 0.741943 | + | 0.670463i | \(0.233904\pi\) |
−0.994333 | + | 0.106312i | \(0.966096\pi\) | |||||||
\(20\) | 3.02216 | + | 2.19573i | 0.675776 | + | 0.490980i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | −7.30012 | + | 3.13048i | −1.55639 | + | 0.667420i | ||||
\(23\) | 2.78918 | 0.581585 | 0.290792 | − | 0.956786i | \(-0.406081\pi\) | ||||
0.290792 | + | 0.956786i | \(0.406081\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 0.309017 | − | 0.951057i | 0.0618034 | − | 0.190211i | ||||
\(26\) | −2.16116 | − | 6.65137i | −0.423839 | − | 1.30444i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −5.95319 | + | 4.32525i | −1.12505 | + | 0.817395i | ||||
\(29\) | −1.08698 | − | 3.34537i | −0.201846 | − | 0.621219i | −0.999828 | − | 0.0185376i | \(-0.994099\pi\) |
0.797982 | − | 0.602682i | \(-0.205901\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.56916 | − | 4.77277i | −1.17986 | − | 0.857215i | −0.187700 | − | 0.982226i | \(-0.560103\pi\) |
−0.992155 | + | 0.125011i | \(0.960103\pi\) | |||||||
\(32\) | 2.36545 | 0.418156 | ||||||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 15.8550 | 2.71911 | ||||||||
\(35\) | 1.59364 | + | 1.15785i | 0.269374 | + | 0.195712i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 1.36892 | + | 4.21310i | 0.225049 | + | 0.692629i | 0.998287 | + | 0.0585129i | \(0.0186359\pi\) |
−0.773238 | + | 0.634116i | \(0.781364\pi\) | |||||||
\(38\) | −6.89783 | + | 5.01157i | −1.11898 | + | 0.812984i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 1.28446 | + | 3.95317i | 0.203091 | + | 0.625050i | ||||
\(41\) | 2.18726 | − | 6.73169i | 0.341592 | − | 1.05131i | −0.621791 | − | 0.783183i | \(-0.713595\pi\) |
0.963383 | − | 0.268129i | \(-0.0864054\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −10.8914 | −1.66092 | −0.830462 | − | 0.557075i | \(-0.811924\pi\) | ||||
−0.830462 | + | 0.557075i | \(0.811924\pi\) | |||||||
\(44\) | −12.0822 | − | 2.74260i | −1.82146 | − | 0.413462i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 5.40411 | + | 3.92631i | 0.796792 | + | 0.578903i | ||||
\(47\) | −0.00839056 | + | 0.0258235i | −0.00122389 | + | 0.00376674i | −0.951667 | − | 0.307133i | \(-0.900630\pi\) |
0.950443 | + | 0.310900i | \(0.100630\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.52390 | − | 1.83372i | 0.360557 | − | 0.261960i | ||||
\(50\) | 1.93752 | − | 1.40769i | 0.274007 | − | 0.199078i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 3.37099 | − | 10.3749i | 0.467473 | − | 1.43873i | ||||
\(53\) | −3.32464 | − | 2.41549i | −0.456675 | − | 0.331794i | 0.335551 | − | 0.942022i | \(-0.391078\pi\) |
−0.792225 | + | 0.610229i | \(0.791078\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 0.301222 | + | 3.30292i | 0.0406167 | + | 0.445365i | ||||
\(56\) | −8.18786 | −1.09415 | ||||||||
\(57\) | 0 | 0 | ||||||||
\(58\) | 2.60321 | − | 8.01186i | 0.341818 | − | 1.05201i | ||||
\(59\) | −2.94011 | − | 9.04874i | −0.382770 | − | 1.17805i | −0.938085 | − | 0.346405i | \(-0.887402\pi\) |
0.555315 | − | 0.831640i | \(-0.312598\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | −2.50982 | + | 1.82349i | −0.321349 | + | 0.233474i | −0.736751 | − | 0.676164i | \(-0.763641\pi\) |
0.415402 | + | 0.909638i | \(0.363641\pi\) | |||||||
\(62\) | −6.00930 | − | 18.4947i | −0.763182 | − | 2.34883i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 8.60150 | + | 6.24935i | 1.07519 | + | 0.781169i | ||||
\(65\) | −2.92022 | −0.362209 | ||||||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 1.58295 | 0.193388 | 0.0966939 | − | 0.995314i | \(-0.469173\pi\) | ||||
0.0966939 | + | 0.995314i | \(0.469173\pi\) | |||||||
\(68\) | 20.0076 | + | 14.5364i | 2.42628 | + | 1.76280i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 1.45782 | + | 4.48671i | 0.174243 | + | 0.536264i | ||||
\(71\) | 4.90133 | − | 3.56102i | 0.581680 | − | 0.422616i | −0.257649 | − | 0.966239i | \(-0.582948\pi\) |
0.839330 | + | 0.543623i | \(0.182948\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −0.733271 | − | 2.25678i | −0.0858229 | − | 0.264136i | 0.898931 | − | 0.438091i | \(-0.144345\pi\) |
−0.984754 | + | 0.173955i | \(0.944345\pi\) | |||||||
\(74\) | −3.27844 | + | 10.0900i | −0.381111 | + | 1.17294i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −13.2992 | −1.52552 | ||||||||
\(77\) | −6.37115 | − | 1.44622i | −0.726060 | − | 0.164812i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 10.1442 | + | 7.37019i | 1.14131 | + | 0.829212i | 0.987301 | − | 0.158858i | \(-0.0507811\pi\) |
0.154010 | + | 0.988069i | \(0.450781\pi\) | |||||||
\(80\) | −0.767444 | + | 2.36195i | −0.0858029 | + | 0.264074i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 13.7140 | − | 9.96381i | 1.51446 | − | 1.10032i | ||||
\(83\) | 4.08014 | − | 2.96440i | 0.447854 | − | 0.325385i | −0.340894 | − | 0.940102i | \(-0.610730\pi\) |
0.788748 | + | 0.614717i | \(0.210730\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.04578 | − | 6.29628i | 0.221896 | − | 0.682927i | ||||
\(86\) | −21.1024 | − | 15.3318i | −2.27553 | − | 1.65327i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −9.08260 | − | 10.3710i | −0.968208 | − | 1.10555i | ||||
\(89\) | 12.0573 | 1.27807 | 0.639035 | − | 0.769177i | \(-0.279334\pi\) | ||||
0.639035 | + | 0.769177i | \(0.279334\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 1.77758 | − | 5.47084i | 0.186341 | − | 0.573499i | ||||
\(92\) | 3.21973 | + | 9.90931i | 0.335680 | + | 1.03312i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | −0.0526085 | + | 0.0382223i | −0.00542615 | + | 0.00394233i | ||||
\(95\) | 1.10014 | + | 3.38588i | 0.112872 | + | 0.347384i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | −8.42159 | − | 6.11864i | −0.855083 | − | 0.621254i | 0.0714597 | − | 0.997443i | \(-0.477234\pi\) |
−0.926543 | + | 0.376189i | \(0.877234\pi\) | |||||||
\(98\) | 7.47144 | 0.754729 | ||||||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 3.73560 | 0.373560 | ||||||||
\(101\) | 13.9285 | + | 10.1196i | 1.38594 | + | 1.00694i | 0.996297 | + | 0.0859743i | \(0.0274003\pi\) |
0.389639 | + | 0.920968i | \(0.372600\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | 2.06114 | + | 6.34353i | 0.203090 | + | 0.625047i | 0.999786 | + | 0.0206671i | \(0.00657902\pi\) |
−0.796696 | + | 0.604380i | \(0.793421\pi\) | |||||||
\(104\) | 9.82001 | − | 7.13465i | 0.962931 | − | 0.699610i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −3.04130 | − | 9.36015i | −0.295397 | − | 0.909138i | ||||
\(107\) | −2.97246 | + | 9.14829i | −0.287359 | + | 0.884399i | 0.698323 | + | 0.715783i | \(0.253930\pi\) |
−0.985682 | + | 0.168616i | \(0.946070\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | −19.2602 | −1.84480 | −0.922398 | − | 0.386240i | \(-0.873773\pi\) | ||||
−0.922398 | + | 0.386240i | \(0.873773\pi\) | |||||||
\(110\) | −4.06587 | + | 6.82351i | −0.387666 | + | 0.650596i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −3.95780 | − | 2.87551i | −0.373977 | − | 0.271710i | ||||
\(113\) | −1.10098 | + | 3.38846i | −0.103571 | + | 0.318759i | −0.989392 | − | 0.145267i | \(-0.953596\pi\) |
0.885821 | + | 0.464026i | \(0.153596\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 2.25650 | − | 1.63944i | 0.210419 | − | 0.152879i | ||||
\(116\) | 10.6305 | − | 7.72354i | 0.987021 | − | 0.717113i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 7.04131 | − | 21.6709i | 0.648205 | − | 1.99497i | ||||
\(119\) | 10.5504 | + | 7.66528i | 0.967149 | + | 0.702675i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.23554 | − | 9.67415i | −0.475958 | − | 0.879468i | ||||
\(122\) | −7.42975 | −0.672658 | ||||||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 9.37334 | − | 28.8482i | 0.841751 | − | 2.59064i | ||||
\(125\) | −0.309017 | − | 0.951057i | −0.0276393 | − | 0.0850651i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −15.6285 | + | 11.3548i | −1.38681 | + | 1.00757i | −0.390601 | + | 0.920560i | \(0.627733\pi\) |
−0.996207 | + | 0.0870147i | \(0.972267\pi\) | |||||||
\(128\) | 6.40650 | + | 19.7172i | 0.566260 | + | 1.74277i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | −5.65799 | − | 4.11077i | −0.496239 | − | 0.360539i | ||||
\(131\) | −13.9027 | −1.21468 | −0.607341 | − | 0.794441i | \(-0.707764\pi\) | ||||
−0.607341 | + | 0.794441i | \(0.707764\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | −7.01290 | −0.608096 | ||||||||
\(134\) | 3.06700 | + | 2.22830i | 0.264948 | + | 0.192496i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 8.50351 | + | 26.1711i | 0.729170 | + | 2.24416i | ||||
\(137\) | −18.3865 | + | 13.3586i | −1.57086 | + | 1.14130i | −0.644541 | + | 0.764570i | \(0.722951\pi\) |
−0.926323 | + | 0.376730i | \(0.877049\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 3.92759 | + | 12.0879i | 0.333134 | + | 1.02528i | 0.967634 | + | 0.252358i | \(0.0812062\pi\) |
−0.634500 | + | 0.772923i | \(0.718794\pi\) | |||||||
\(140\) | −2.27392 | + | 6.99840i | −0.192181 | + | 0.591472i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 14.5093 | 1.21759 | ||||||||
\(143\) | 8.90135 | − | 3.81712i | 0.744368 | − | 0.319204i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.84574 | − | 2.06755i | −0.236326 | − | 0.171701i | ||||
\(146\) | 1.75612 | − | 5.40478i | 0.145337 | − | 0.447303i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −13.3879 | + | 9.72689i | −1.10048 | + | 0.799546i | ||||
\(149\) | −3.48099 | + | 2.52909i | −0.285174 | + | 0.207191i | −0.721171 | − | 0.692757i | \(-0.756396\pi\) |
0.435997 | + | 0.899948i | \(0.356396\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 5.43388 | − | 16.7238i | 0.442203 | − | 1.36096i | −0.443320 | − | 0.896364i | \(-0.646199\pi\) |
0.885522 | − | 0.464597i | \(-0.153801\pi\) | |||||||
\(152\) | −11.9719 | − | 8.69807i | −0.971047 | − | 0.705507i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | −10.3084 | − | 11.7707i | −0.830677 | − | 0.948511i | ||||
\(155\) | −8.11992 | −0.652208 | ||||||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −7.35808 | + | 22.6458i | −0.587239 | + | 1.80733i | 0.00284976 | + | 0.999996i | \(0.499093\pi\) |
−0.590088 | + | 0.807339i | \(0.700907\pi\) | |||||||
\(158\) | 9.27966 | + | 28.5598i | 0.738250 | + | 2.27210i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | 1.91369 | − | 1.39037i | 0.151290 | − | 0.109919i | ||||
\(161\) | 1.69782 | + | 5.22535i | 0.133807 | + | 0.411815i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 16.0551 | + | 11.6647i | 1.25753 | + | 0.913651i | 0.998634 | − | 0.0522532i | \(-0.0166403\pi\) |
0.258899 | + | 0.965904i | \(0.416640\pi\) | |||||||
\(164\) | 26.4410 | 2.06469 | ||||||||
\(165\) | 0 | 0 | ||||||||
\(166\) | 12.0783 | 0.937460 | ||||||||
\(167\) | −11.7113 | − | 8.50878i | −0.906250 | − | 0.658429i | 0.0338134 | − | 0.999428i | \(-0.489235\pi\) |
−0.940064 | + | 0.340999i | \(0.889235\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −1.38202 | − | 4.25343i | −0.106310 | − | 0.327187i | ||||
\(170\) | 12.8270 | − | 9.31935i | 0.983784 | − | 0.714761i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | −12.5726 | − | 38.6946i | −0.958655 | − | 2.95044i | ||||
\(173\) | −1.33466 | + | 4.10765i | −0.101472 | + | 0.312299i | −0.988886 | − | 0.148674i | \(-0.952500\pi\) |
0.887414 | + | 0.460973i | \(0.152500\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 1.96984 | 0.148906 | ||||||||
\(176\) | −0.748084 | − | 8.20280i | −0.0563890 | − | 0.618309i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 23.3613 | + | 16.9730i | 1.75100 | + | 1.27218i | ||||
\(179\) | 2.30499 | − | 7.09404i | 0.172283 | − | 0.530233i | −0.827216 | − | 0.561884i | \(-0.810077\pi\) |
0.999499 | + | 0.0316512i | \(0.0100766\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | 16.5553 | − | 12.0281i | 1.23054 | − | 0.894043i | 0.233613 | − | 0.972330i | \(-0.424945\pi\) |
0.996931 | + | 0.0782870i | \(0.0249450\pi\) | |||||||
\(182\) | 11.1454 | − | 8.09758i | 0.826149 | − | 0.600233i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −3.58260 | + | 11.0261i | −0.264113 | + | 0.812855i | ||||
\(185\) | 3.58388 | + | 2.60384i | 0.263492 | + | 0.191438i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 1.99418 | + | 21.8663i | 0.145829 | + | 1.59902i | ||||
\(188\) | −0.101431 | −0.00739759 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −2.63474 | + | 8.10889i | −0.191144 | + | 0.588281i | ||||
\(191\) | −2.02460 | − | 6.23107i | −0.146495 | − | 0.450865i | 0.850705 | − | 0.525643i | \(-0.176175\pi\) |
−0.997200 | + | 0.0747781i | \(0.976175\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 5.52218 | − | 4.01210i | 0.397495 | − | 0.288797i | −0.371025 | − | 0.928623i | \(-0.620994\pi\) |
0.768520 | + | 0.639826i | \(0.220994\pi\) | |||||||
\(194\) | −7.70386 | − | 23.7100i | −0.553105 | − | 1.70228i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | 9.42828 | + | 6.85005i | 0.673449 | + | 0.489289i | ||||
\(197\) | −3.45091 | −0.245867 | −0.122934 | − | 0.992415i | \(-0.539230\pi\) | ||||
−0.122934 | + | 0.992415i | \(0.539230\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −10.6742 | −0.756671 | −0.378336 | − | 0.925668i | \(-0.623504\pi\) | ||||
−0.378336 | + | 0.925668i | \(0.623504\pi\) | |||||||
\(200\) | 3.36276 | + | 2.44319i | 0.237783 | + | 0.172760i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 12.7414 | + | 39.2141i | 0.896484 | + | 2.75909i | ||||
\(203\) | 5.60566 | − | 4.07275i | 0.393441 | − | 0.285851i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −2.18726 | − | 6.73169i | −0.152765 | − | 0.470161i | ||||
\(206\) | −4.93624 | + | 15.1922i | −0.343924 | + | 1.05849i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | 7.25237 | 0.502861 | ||||||||
\(209\) | −7.77924 | − | 8.88275i | −0.538101 | − | 0.614432i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | 1.11582 | + | 0.810693i | 0.0768164 | + | 0.0558104i | 0.625531 | − | 0.780200i | \(-0.284883\pi\) |
−0.548714 | + | 0.836010i | \(0.684883\pi\) | |||||||
\(212\) | 4.74384 | − | 14.6000i | 0.325808 | − | 1.00273i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −18.6372 | + | 13.5407i | −1.27401 | + | 0.925624i | ||||
\(215\) | −8.81134 | + | 6.40181i | −0.600928 | + | 0.436600i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | 4.94272 | − | 15.2121i | 0.335534 | − | 1.03267i | ||||
\(218\) | −37.3172 | − | 27.1125i | −2.52744 | − | 1.83629i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | −11.3868 | + | 4.88294i | −0.767696 | + | 0.329208i | ||||
\(221\) | −19.3327 | −1.30046 | ||||||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 3.74028 | − | 11.5114i | 0.250468 | − | 0.770861i | −0.744221 | − | 0.667933i | \(-0.767179\pi\) |
0.994689 | − | 0.102927i | \(-0.0328209\pi\) | |||||||
\(224\) | 1.43988 | + | 4.43150i | 0.0962062 | + | 0.296092i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −6.90307 | + | 5.01538i | −0.459186 | + | 0.333618i | ||||
\(227\) | 5.35589 | + | 16.4837i | 0.355483 | + | 1.09406i | 0.955729 | + | 0.294248i | \(0.0950692\pi\) |
−0.600246 | + | 0.799815i | \(0.704931\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 0.677291 | + | 0.492081i | 0.0447567 | + | 0.0325176i | 0.609939 | − | 0.792449i | \(-0.291194\pi\) |
−0.565182 | + | 0.824966i | \(0.691194\pi\) | |||||||
\(230\) | 6.67984 | 0.440456 | ||||||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 14.6210 | 0.959914 | ||||||||
\(233\) | −15.4102 | − | 11.1962i | −1.00956 | − | 0.733487i | −0.0454418 | − | 0.998967i | \(-0.514470\pi\) |
−0.964116 | + | 0.265480i | \(0.914470\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.00839056 | + | 0.0258235i | 0.000547340 | + | 0.00168454i | ||||
\(236\) | 28.7541 | − | 20.8911i | 1.87173 | − | 1.35989i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | 9.65119 | + | 29.7033i | 0.625594 | + | 1.92538i | ||||
\(239\) | −7.97065 | + | 24.5311i | −0.515578 | + | 1.58679i | 0.266649 | + | 0.963794i | \(0.414084\pi\) |
−0.782227 | + | 0.622993i | \(0.785916\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −17.0680 | −1.09944 | −0.549722 | − | 0.835348i | \(-0.685266\pi\) | ||||
−0.549722 | + | 0.835348i | \(0.685266\pi\) | |||||||
\(242\) | 3.47425 | − | 26.1139i | 0.223333 | − | 1.67867i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | −9.37568 | − | 6.81183i | −0.600216 | − | 0.436083i | ||||
\(245\) | 0.964044 | − | 2.96702i | 0.0615905 | − | 0.189556i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 8.41083 | − | 6.11082i | 0.535168 | − | 0.388822i | ||||
\(248\) | 27.3054 | − | 19.8385i | 1.73389 | − | 1.25975i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 0.740068 | − | 2.27770i | 0.0468060 | − | 0.144054i | ||||
\(251\) | −8.34630 | − | 6.06394i | −0.526814 | − | 0.382752i | 0.292351 | − | 0.956311i | \(-0.405562\pi\) |
−0.819164 | + | 0.573559i | \(0.805562\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −4.73523 | + | 7.94685i | −0.297701 | + | 0.499614i | ||||
\(254\) | −46.2647 | −2.90291 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | −8.77205 | + | 26.9976i | −0.548253 | + | 1.68735i | ||||
\(257\) | 3.48064 | + | 10.7123i | 0.217117 | + | 0.668216i | 0.998997 | + | 0.0447871i | \(0.0142609\pi\) |
−0.781880 | + | 0.623429i | \(0.785739\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −7.05968 | + | 5.12916i | −0.438667 | + | 0.318710i | ||||
\(260\) | −3.37099 | − | 10.3749i | −0.209060 | − | 0.643421i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −26.9368 | − | 19.5707i | −1.66416 | − | 1.20908i | ||||
\(263\) | −5.15082 | −0.317613 | −0.158806 | − | 0.987310i | \(-0.550765\pi\) | ||||
−0.158806 | + | 0.987310i | \(0.550765\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −4.10948 | −0.252444 | ||||||||
\(266\) | −13.5877 | − | 9.87201i | −0.833113 | − | 0.605292i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 1.82730 | + | 5.62384i | 0.111620 | + | 0.343531i | ||||
\(269\) | 18.7305 | − | 13.6085i | 1.14202 | − | 0.829725i | 0.154619 | − | 0.987974i | \(-0.450585\pi\) |
0.987399 | + | 0.158249i | \(0.0505849\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 4.06201 | + | 12.5016i | 0.246749 | + | 0.759417i | 0.995344 | + | 0.0963885i | \(0.0307291\pi\) |
−0.748594 | + | 0.663028i | \(0.769271\pi\) | |||||||
\(272\) | −5.08071 | + | 15.6368i | −0.308063 | + | 0.948121i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −54.4290 | −3.28818 | ||||||||
\(275\) | 2.18510 | + | 2.49506i | 0.131766 | + | 0.150458i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −8.37246 | − | 6.08295i | −0.503052 | − | 0.365489i | 0.307129 | − | 0.951668i | \(-0.400632\pi\) |
−0.810182 | + | 0.586179i | \(0.800632\pi\) | |||||||
\(278\) | −9.40624 | + | 28.9494i | −0.564149 | + | 1.73627i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −6.62412 | + | 4.81271i | −0.395867 | + | 0.287614i | ||||
\(281\) | 0.313106 | − | 0.227485i | 0.0186783 | − | 0.0135706i | −0.578407 | − | 0.815748i | \(-0.696325\pi\) |
0.597085 | + | 0.802178i | \(0.296325\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | −4.48858 | + | 13.8144i | −0.266818 | + | 0.821182i | 0.724451 | + | 0.689327i | \(0.242094\pi\) |
−0.991269 | + | 0.131856i | \(0.957906\pi\) | |||||||
\(284\) | 18.3094 | + | 13.3026i | 1.08646 | + | 0.789361i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 22.6199 | + | 5.13460i | 1.33754 | + | 0.303615i | ||||
\(287\) | 13.9428 | 0.823016 | ||||||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 8.29040 | − | 25.5152i | 0.487671 | − | 1.50090i | ||||
\(290\) | −2.60321 | − | 8.01186i | −0.152866 | − | 0.470472i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 7.17134 | − | 5.21028i | 0.419671 | − | 0.304909i | ||||
\(293\) | 4.57888 | + | 14.0923i | 0.267501 | + | 0.823284i | 0.991107 | + | 0.133070i | \(0.0424835\pi\) |
−0.723606 | + | 0.690214i | \(0.757517\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −7.69732 | − | 5.59243i | −0.448155 | − | 0.325604i | ||||
\(296\) | −18.4134 | −1.07026 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −10.3047 | −0.596934 | ||||||||
\(299\) | −6.58946 | − | 4.78752i | −0.381078 | − | 0.276870i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −6.62977 | − | 20.4043i | −0.382134 | − | 1.17609i | ||||
\(302\) | 34.0702 | − | 24.7534i | 1.96052 | − | 1.42440i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −2.73220 | − | 8.40885i | −0.156702 | − | 0.482280i | ||||
\(305\) | −0.958666 | + | 2.95047i | −0.0548930 | + | 0.168943i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 32.3539 | 1.84653 | 0.923266 | − | 0.384161i | \(-0.125509\pi\) | ||||
0.923266 | + | 0.384161i | \(0.125509\pi\) | |||||||
\(308\) | −2.21655 | − | 24.3047i | −0.126300 | − | 1.38489i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −15.7325 | − | 11.4304i | −0.893549 | − | 0.649201i | ||||
\(311\) | −0.544966 | + | 1.67723i | −0.0309022 | + | 0.0951072i | −0.965318 | − | 0.261077i | \(-0.915922\pi\) |
0.934416 | + | 0.356184i | \(0.115922\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 21.1748 | − | 15.3844i | 1.19687 | − | 0.869577i | 0.202897 | − | 0.979200i | \(-0.434964\pi\) |
0.993973 | + | 0.109623i | \(0.0349643\pi\) | |||||||
\(314\) | −46.1348 | + | 33.5189i | −2.60354 | + | 1.89158i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −14.4745 | + | 44.5479i | −0.814253 | + | 2.50601i | ||||
\(317\) | 8.39392 | + | 6.09854i | 0.471450 | + | 0.342528i | 0.798006 | − | 0.602650i | \(-0.205888\pi\) |
−0.326556 | + | 0.945178i | \(0.605888\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 11.3769 | + | 2.58249i | 0.636984 | + | 0.144592i | ||||
\(320\) | 10.6320 | 0.594349 | ||||||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −4.06612 | + | 12.5142i | −0.226596 | + | 0.697391i | ||||
\(323\) | 7.28325 | + | 22.4156i | 0.405251 | + | 1.24723i | ||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −2.36251 | + | 1.71646i | −0.131048 | + | 0.0952122i | ||||
\(326\) | 14.6868 | + | 45.2013i | 0.813427 | + | 2.50347i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 23.8020 | + | 17.2932i | 1.31425 | + | 0.954856i | ||||
\(329\) | −0.0534861 | −0.00294878 | ||||||||
\(330\) | 0 | 0 | ||||||||
\(331\) | 9.22380 | 0.506986 | 0.253493 | − | 0.967337i | \(-0.418421\pi\) | ||||
0.253493 | + | 0.967337i | \(0.418421\pi\) | |||||||
\(332\) | 15.2418 | + | 11.0738i | 0.836501 | + | 0.607753i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −10.7132 | − | 32.9719i | −0.586202 | − | 1.80414i | ||||
\(335\) | 1.28063 | − | 0.930433i | 0.0699684 | − | 0.0508350i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 8.81849 | + | 27.1405i | 0.480374 | + | 1.47844i | 0.838571 | + | 0.544792i | \(0.183392\pi\) |
−0.358197 | + | 0.933646i | \(0.616608\pi\) | |||||||
\(338\) | 3.30982 | − | 10.1866i | 0.180031 | − | 0.554077i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 24.7308 | 1.34121 | ||||||||
\(341\) | 24.7510 | − | 10.6138i | 1.34034 | − | 0.574772i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 16.1272 | + | 11.7171i | 0.870785 | + | 0.632662i | ||||
\(344\) | 13.9896 | − | 43.0555i | 0.754268 | − | 2.32140i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | −8.36825 | + | 6.07989i | −0.449880 | + | 0.326857i | ||||
\(347\) | −8.22756 | + | 5.97767i | −0.441679 | + | 0.320898i | −0.786302 | − | 0.617843i | \(-0.788007\pi\) |
0.344623 | + | 0.938741i | \(0.388007\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −7.32909 | + | 22.5566i | −0.392317 | + | 1.20743i | 0.538714 | + | 0.842489i | \(0.318910\pi\) |
−0.931031 | + | 0.364940i | \(0.881090\pi\) | |||||||
\(350\) | 3.81662 | + | 2.77294i | 0.204007 | + | 0.148220i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −4.01585 | + | 6.73956i | −0.214045 | + | 0.359220i | ||||
\(353\) | −14.1383 | −0.752504 | −0.376252 | − | 0.926517i | \(-0.622787\pi\) | ||||
−0.376252 | + | 0.926517i | \(0.622787\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 1.87214 | − | 5.76186i | 0.0993629 | − | 0.305808i | ||||
\(356\) | 13.9185 | + | 42.8367i | 0.737679 | + | 2.27034i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 14.4522 | − | 10.5001i | 0.763823 | − | 0.554950i | ||||
\(359\) | −7.42661 | − | 22.8568i | −0.391962 | − | 1.20633i | −0.931303 | − | 0.364246i | \(-0.881327\pi\) |
0.539341 | − | 0.842087i | \(-0.318673\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 5.11742 | + | 3.71803i | 0.269338 | + | 0.195686i | ||||
\(362\) | 49.0081 | 2.57581 | ||||||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 21.4886 | 1.12631 | ||||||||
\(365\) | −1.91973 | − | 1.39476i | −0.100483 | − | 0.0730053i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −0.555320 | − | 1.70910i | −0.0289875 | − | 0.0892143i | 0.935516 | − | 0.353284i | \(-0.114935\pi\) |
−0.964504 | + | 0.264070i | \(0.914935\pi\) | |||||||
\(368\) | −5.60401 | + | 4.07155i | −0.292129 | + | 0.212244i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | 3.27844 | + | 10.0900i | 0.170438 | + | 0.524554i | ||||
\(371\) | 2.50151 | − | 7.69884i | 0.129872 | − | 0.399704i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −6.87802 | −0.356131 | −0.178065 | − | 0.984019i | \(-0.556984\pi\) | ||||
−0.178065 | + | 0.984019i | \(0.556984\pi\) | |||||||
\(374\) | −26.9173 | + | 45.1736i | −1.39186 | + | 2.33587i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −0.0913072 | − | 0.0663386i | −0.00470881 | − | 0.00342115i | ||||
\(377\) | −3.17421 | + | 9.76920i | −0.163480 | + | 0.503140i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | 2.85849 | − | 2.07682i | 0.146831 | − | 0.106679i | −0.511945 | − | 0.859018i | \(-0.671075\pi\) |
0.658776 | + | 0.752340i | \(0.271075\pi\) | |||||||
\(380\) | −10.7593 | + | 7.81708i | −0.551940 | + | 0.401008i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 4.84873 | − | 14.9229i | 0.248083 | − | 0.763520i | ||||
\(383\) | 1.53984 | + | 1.11876i | 0.0786821 | + | 0.0571659i | 0.626431 | − | 0.779477i | \(-0.284515\pi\) |
−0.547749 | + | 0.836643i | \(0.684515\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −6.00444 | + | 2.57486i | −0.306014 | + | 0.131227i | ||||
\(386\) | 16.3472 | 0.832048 | ||||||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 12.0165 | − | 36.9831i | 0.610047 | − | 1.87753i | ||||
\(389\) | −2.16998 | − | 6.67850i | −0.110022 | − | 0.338613i | 0.880854 | − | 0.473388i | \(-0.156969\pi\) |
−0.990876 | + | 0.134774i | \(0.956969\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 14.9387 | − | 10.8536i | 0.755481 | − | 0.548889i | ||||
\(392\) | 4.00715 | + | 12.3327i | 0.202392 | + | 0.622898i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −6.68623 | − | 4.85783i | −0.336847 | − | 0.244734i | ||||
\(395\) | 12.5389 | 0.630902 | ||||||||
\(396\) | 0 | 0 | ||||||||
\(397\) | −12.5149 | −0.628104 | −0.314052 | − | 0.949406i | \(-0.601687\pi\) | ||||
−0.314052 | + | 0.949406i | \(0.601687\pi\) | |||||||
\(398\) | −20.6814 | − | 15.0260i | −1.03667 | − | 0.753183i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 0.767444 | + | 2.36195i | 0.0383722 | + | 0.118097i | ||||
\(401\) | −22.1091 | + | 16.0632i | −1.10408 | + | 0.802160i | −0.981721 | − | 0.190326i | \(-0.939045\pi\) |
−0.122357 | + | 0.992486i | \(0.539045\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | 7.32740 | + | 22.5514i | 0.365004 | + | 1.12337i | ||||
\(404\) | −19.8742 | + | 61.1664i | −0.988777 | + | 3.04314i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | 16.5943 | 0.823561 | ||||||||
\(407\) | −14.3279 | − | 3.25235i | −0.710206 | − | 0.161213i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | 9.38375 | + | 6.81769i | 0.463997 | + | 0.337113i | 0.795097 | − | 0.606482i | \(-0.207420\pi\) |
−0.331100 | + | 0.943596i | \(0.607420\pi\) | |||||||
\(410\) | 5.23829 | − | 16.1218i | 0.258701 | − | 0.796198i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −20.1578 | + | 14.6455i | −0.993103 | + | 0.721531i | ||||
\(413\) | 15.1625 | − | 11.0162i | 0.746099 | − | 0.542072i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 1.55847 | − | 4.79649i | 0.0765025 | − | 0.235451i | ||||
\(416\) | −5.58838 | − | 4.06020i | −0.273993 | − | 0.199067i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −2.56827 | − | 28.1613i | −0.125618 | − | 1.37741i | ||||
\(419\) | 9.07542 | 0.443363 | 0.221682 | − | 0.975119i | \(-0.428845\pi\) | ||||
0.221682 | + | 0.975119i | \(0.428845\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 5.72149 | − | 17.6089i | 0.278848 | − | 0.858207i | −0.709327 | − | 0.704880i | \(-0.751001\pi\) |
0.988175 | − | 0.153328i | \(-0.0489989\pi\) | |||||||
\(422\) | 1.02073 | + | 3.14147i | 0.0496882 | + | 0.152925i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 13.8192 | − | 10.0403i | 0.671121 | − | 0.487598i | ||||
\(425\) | −2.04578 | − | 6.29628i | −0.0992351 | − | 0.305414i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −4.94395 | − | 3.59199i | −0.239255 | − | 0.173829i | ||||
\(428\) | −35.9330 | −1.73689 | ||||||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −26.0840 | −1.25788 | ||||||||
\(431\) | 20.0566 | + | 14.5719i | 0.966091 | + | 0.701906i | 0.954557 | − | 0.298028i | \(-0.0963287\pi\) |
0.0115333 | + | 0.999933i | \(0.496329\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −10.9348 | − | 33.6539i | −0.525494 | − | 1.61730i | −0.763338 | − | 0.646000i | \(-0.776441\pi\) |
0.237844 | − | 0.971303i | \(-0.423559\pi\) | |||||||
\(434\) | 30.9907 | − | 22.5160i | 1.48760 | − | 1.08080i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −22.2333 | − | 68.4271i | −1.06478 | − | 3.27706i | ||||
\(437\) | −3.06849 | + | 9.44384i | −0.146786 | + | 0.451760i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | −10.2916 | −0.491192 | −0.245596 | − | 0.969372i | \(-0.578984\pi\) | ||||
−0.245596 | + | 0.969372i | \(0.578984\pi\) | |||||||
\(440\) | −13.4439 | − | 3.05169i | −0.640912 | − | 0.145484i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −37.4576 | − | 27.2145i | −1.78168 | − | 1.29446i | ||||
\(443\) | 11.0783 | − | 34.0956i | 0.526348 | − | 1.61993i | −0.235288 | − | 0.971926i | \(-0.575603\pi\) |
0.761636 | − | 0.648006i | \(-0.224397\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 9.75456 | − | 7.08710i | 0.462410 | − | 0.335961i | ||||
\(446\) | 23.4514 | − | 17.0384i | 1.11046 | − | 0.806794i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −6.47188 | + | 19.9184i | −0.305768 | + | 0.941056i | ||||
\(449\) | 21.7169 | + | 15.7783i | 1.02489 | + | 0.744623i | 0.967279 | − | 0.253716i | \(-0.0816529\pi\) |
0.0576072 | + | 0.998339i | \(0.481653\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | 15.4664 | + | 17.6603i | 0.728284 | + | 0.831593i | ||||
\(452\) | −13.3093 | −0.626017 | ||||||||
\(453\) | 0 | 0 | ||||||||
\(454\) | −12.8269 | + | 39.4771i | −0.601995 | + | 1.85275i | ||||
\(455\) | −1.77758 | − | 5.47084i | −0.0833343 | − | 0.256477i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 15.8875 | − | 11.5429i | 0.743185 | − | 0.539955i | −0.150522 | − | 0.988607i | \(-0.548095\pi\) |
0.893707 | + | 0.448651i | \(0.148095\pi\) | |||||||
\(458\) | 0.619569 | + | 1.90684i | 0.0289506 | + | 0.0891007i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 8.42936 | + | 6.12429i | 0.393021 | + | 0.285546i | ||||
\(461\) | 19.5626 | 0.911122 | 0.455561 | − | 0.890205i | \(-0.349439\pi\) | ||||
0.455561 | + | 0.890205i | \(0.349439\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −14.7474 | −0.685371 | −0.342686 | − | 0.939450i | \(-0.611337\pi\) | ||||
−0.342686 | + | 0.939450i | \(0.611337\pi\) | |||||||
\(464\) | 7.06740 | + | 5.13476i | 0.328096 | + | 0.238375i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | −14.0969 | − | 43.3858i | −0.653026 | − | 2.00981i | ||||
\(467\) | 8.33684 | − | 6.05707i | 0.385783 | − | 0.280288i | −0.377942 | − | 0.925829i | \(-0.623368\pi\) |
0.763725 | + | 0.645541i | \(0.223368\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | 0.963564 | + | 2.96555i | 0.0444933 | + | 0.136936i | ||||
\(470\) | −0.0200947 | + | 0.0618450i | −0.000926897 | + | 0.00285270i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 39.5476 | 1.82033 | ||||||||
\(473\) | 18.4905 | − | 31.0315i | 0.850193 | − | 1.42683i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 2.88020 | + | 2.09259i | 0.132153 | + | 0.0960147i | ||||
\(476\) | −15.0540 | + | 46.3314i | −0.689999 | + | 2.12360i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −49.9756 | + | 36.3094i | −2.28583 | + | 1.66075i | ||||
\(479\) | 9.22083 | − | 6.69932i | 0.421310 | − | 0.306100i | −0.356854 | − | 0.934160i | \(-0.616151\pi\) |
0.778165 | + | 0.628060i | \(0.216151\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 3.99754 | − | 12.3032i | 0.182272 | − | 0.560976i | ||||
\(482\) | −33.0696 | − | 24.0265i | −1.50628 | − | 1.09437i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | 28.3263 | − | 29.7681i | 1.28756 | − | 1.35310i | ||||
\(485\) | −10.4097 | −0.472678 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −10.7054 | + | 32.9479i | −0.485109 | + | 1.49301i | 0.346715 | + | 0.937971i | \(0.387297\pi\) |
−0.831823 | + | 0.555040i | \(0.812703\pi\) | |||||||
\(488\) | −3.98479 | − | 12.2639i | −0.180383 | − | 0.555162i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 6.04452 | − | 4.39160i | 0.273063 | − | 0.198392i | ||||
\(491\) | −11.3147 | − | 34.8232i | −0.510627 | − | 1.57155i | −0.791100 | − | 0.611686i | \(-0.790491\pi\) |
0.280473 | − | 0.959862i | \(-0.409509\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −18.8396 | − | 13.6878i | −0.848495 | − | 0.616467i | ||||
\(494\) | 24.8983 | 1.12023 | ||||||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 20.1658 | 0.905473 | ||||||||
\(497\) | 9.65485 | + | 7.01466i | 0.433079 | + | 0.314651i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −6.59797 | − | 20.3065i | −0.295366 | − | 0.909042i | −0.983098 | − | 0.183078i | \(-0.941394\pi\) |
0.687733 | − | 0.725964i | \(-0.258606\pi\) | |||||||
\(500\) | 3.02216 | − | 2.19573i | 0.135155 | − | 0.0981960i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −7.63498 | − | 23.4980i | −0.340766 | − | 1.04877i | ||||
\(503\) | 3.60237 | − | 11.0870i | 0.160622 | − | 0.494343i | −0.838065 | − | 0.545570i | \(-0.816313\pi\) |
0.998687 | + | 0.0512270i | \(0.0163132\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 17.2166 | 0.766127 | ||||||||
\(506\) | −20.3614 | + | 8.73147i | −0.905173 | + | 0.388161i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −58.3819 | − | 42.4169i | −2.59028 | − | 1.88195i | ||||
\(509\) | 9.06760 | − | 27.9072i | 0.401914 | − | 1.23697i | −0.521530 | − | 0.853233i | \(-0.674639\pi\) |
0.923444 | − | 0.383732i | \(-0.125361\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.78157 | − | 2.74747i | 0.167287 | − | 0.121541i | ||||
\(512\) | −21.4555 | + | 15.5883i | −0.948208 | + | 0.688913i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −8.33583 | + | 25.6550i | −0.367678 | + | 1.13160i | ||||
\(515\) | 5.39613 | + | 3.92052i | 0.237782 | + | 0.172759i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −0.0593308 | − | 0.0677470i | −0.00260936 | − | 0.00297951i | ||||
\(518\) | −20.8986 | −0.918230 | ||||||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 3.75091 | − | 11.5441i | 0.164488 | − | 0.506243i | ||||
\(521\) | 1.23624 | + | 3.80477i | 0.0541608 | + | 0.166690i | 0.974478 | − | 0.224483i | \(-0.0720694\pi\) |
−0.920317 | + | 0.391173i | \(0.872069\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 3.59665 | − | 2.61312i | 0.157271 | − | 0.114264i | −0.506367 | − | 0.862318i | \(-0.669012\pi\) |
0.663637 | + | 0.748054i | \(0.269012\pi\) | |||||||
\(524\) | −16.0487 | − | 49.3930i | −0.701093 | − | 2.15774i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −9.97983 | − | 7.25077i | −0.435141 | − | 0.316149i | ||||
\(527\) | −53.7563 | −2.34166 | ||||||||
\(528\) | 0 | 0 | ||||||||
\(529\) | −15.2205 | −0.661759 | ||||||||
\(530\) | −7.96222 | − | 5.78489i | −0.345857 | − | 0.251280i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −8.09544 | − | 24.9152i | −0.350982 | − | 1.08021i | ||||
\(533\) | −16.7221 | + | 12.1493i | −0.724314 | + | 0.526245i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | 2.97246 | + | 9.14829i | 0.128511 | + | 0.395515i | ||||
\(536\) | −2.03323 | + | 6.25765i | −0.0878224 | + | 0.270289i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 55.4474 | 2.39051 | ||||||||
\(539\) | 0.939725 | + | 10.3042i | 0.0404768 | + | 0.443831i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 10.6676 | + | 7.75046i | 0.458636 | + | 0.333218i | 0.792996 | − | 0.609227i | \(-0.208520\pi\) |
−0.334360 | + | 0.942445i | \(0.608520\pi\) | |||||||
\(542\) | −9.72815 | + | 29.9402i | −0.417860 | + | 1.28604i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 12.6692 | − | 9.20469i | 0.543186 | − | 0.394648i | ||||
\(545\) | −15.5819 | + | 11.3209i | −0.667454 | + | 0.484933i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | 0.577321 | − | 1.77681i | 0.0246845 | − | 0.0759710i | −0.937955 | − | 0.346756i | \(-0.887283\pi\) |
0.962640 | + | 0.270785i | \(0.0872832\pi\) | |||||||
\(548\) | −68.6846 | − | 49.9023i | −2.93406 | − | 2.13172i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.721399 | + | 7.91019i | 0.0307606 | + | 0.337292i | ||||
\(551\) | 12.5229 | 0.533491 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −7.63264 | + | 23.4908i | −0.324573 | + | 0.998932i | ||||
\(554\) | −7.65891 | − | 23.5717i | −0.325396 | − | 1.00147i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −38.4116 | + | 27.9076i | −1.62901 | + | 1.18355i | ||||
\(557\) | 4.17820 | + | 12.8592i | 0.177036 | + | 0.544861i | 0.999721 | − | 0.0236374i | \(-0.00752471\pi\) |
−0.822685 | + | 0.568498i | \(0.807525\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 25.7310 | + | 18.6947i | 1.08831 | + | 0.790701i | ||||
\(560\) | −4.89211 | −0.206729 | ||||||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 0.926879 | 0.0390980 | ||||||||
\(563\) | 24.7333 | + | 17.9698i | 1.04238 | + | 0.757336i | 0.970749 | − | 0.240095i | \(-0.0771787\pi\) |
0.0716337 | + | 0.997431i | \(0.477179\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 1.10098 | + | 3.38846i | 0.0463184 | + | 0.142553i | ||||
\(566\) | −28.1432 | + | 20.4472i | −1.18295 | + | 0.859461i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 7.78175 | + | 23.9498i | 0.326515 | + | 1.00491i | ||||
\(569\) | 11.2742 | − | 34.6984i | 0.472638 | − | 1.45463i | −0.376478 | − | 0.926426i | \(-0.622865\pi\) |
0.849116 | − | 0.528206i | \(-0.177135\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −19.9929 | −0.836679 | −0.418339 | − | 0.908291i | \(-0.637388\pi\) | ||||
−0.418339 | + | 0.908291i | \(0.637388\pi\) | |||||||
\(572\) | 23.8367 | + | 27.2181i | 0.996664 | + | 1.13804i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 27.0145 | + | 19.6272i | 1.12756 | + | 0.819222i | ||||
\(575\) | 0.861905 | − | 2.65267i | 0.0359439 | − | 0.110624i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 25.1775 | − | 18.2925i | 1.04815 | − | 0.761527i | 0.0762921 | − | 0.997086i | \(-0.475692\pi\) |
0.971860 | + | 0.235558i | \(0.0756919\pi\) | |||||||
\(578\) | 51.9805 | − | 37.7660i | 2.16210 | − | 1.57086i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 4.06051 | − | 12.4970i | 0.168603 | − | 0.518908i | ||||
\(581\) | 8.03724 | + | 5.83940i | 0.333441 | + | 0.242259i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | 12.5264 | − | 5.37165i | 0.518792 | − | 0.222471i | ||||
\(584\) | 9.86327 | 0.408145 | ||||||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −10.9660 | + | 33.7499i | −0.453002 | + | 1.39420i | ||||
\(587\) | −9.85974 | − | 30.3452i | −0.406955 | − | 1.25248i | −0.919252 | − | 0.393670i | \(-0.871205\pi\) |
0.512297 | − | 0.858808i | \(-0.328795\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 23.3870 | − | 16.9917i | 0.963646 | − | 0.700130i | ||||
\(590\) | −7.04131 | − | 21.6709i | −0.289886 | − | 0.892178i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −8.90056 | − | 6.46663i | −0.365811 | − | 0.265777i | ||||
\(593\) | −34.5829 | −1.42015 | −0.710074 | − | 0.704127i | \(-0.751338\pi\) | ||||
−0.710074 | + | 0.704127i | \(0.751338\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 13.0410 | 0.534627 | ||||||||
\(596\) | −13.0036 | − | 9.44765i | −0.532647 | − | 0.386991i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −6.02787 | − | 18.5519i | −0.246498 | − | 0.758643i | ||||
\(599\) | 14.3857 | − | 10.4519i | 0.587785 | − | 0.427051i | −0.253737 | − | 0.967273i | \(-0.581660\pi\) |
0.841522 | + | 0.540222i | \(0.181660\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −4.57989 | − | 14.0954i | −0.186818 | − | 0.574965i | 0.813157 | − | 0.582044i | \(-0.197747\pi\) |
−0.999975 | + | 0.00707858i | \(0.997747\pi\) | |||||||
\(602\) | 15.8777 | − | 48.8666i | 0.647127 | − | 1.99165i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 65.6883 | 2.67282 | ||||||||
\(605\) | −9.92196 | − | 4.74917i | −0.403385 | − | 0.193081i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 11.1672 | + | 8.11345i | 0.453263 | + | 0.329315i | 0.790883 | − | 0.611968i | \(-0.209622\pi\) |
−0.337620 | + | 0.941283i | \(0.609622\pi\) | |||||||
\(608\) | −2.60232 | + | 8.00912i | −0.105538 | + | 0.324813i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | −6.01079 | + | 4.36710i | −0.243370 | + | 0.176819i | ||||
\(611\) | 0.0641478 | − | 0.0466061i | 0.00259514 | − | 0.00188548i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 6.95138 | − | 21.3942i | 0.280764 | − | 0.864102i | −0.706873 | − | 0.707341i | \(-0.749895\pi\) |
0.987637 | − | 0.156761i | \(-0.0501053\pi\) | |||||||
\(614\) | 62.6864 | + | 45.5443i | 2.52982 | + | 1.83802i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 13.9006 | − | 23.3286i | 0.560073 | − | 0.939937i | ||||
\(617\) | −10.6195 | −0.427525 | −0.213762 | − | 0.976886i | \(-0.568572\pi\) | ||||
−0.213762 | + | 0.976886i | \(0.568572\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | −0.813488 | + | 2.50366i | −0.0326968 | + | 0.100630i | −0.966073 | − | 0.258269i | \(-0.916848\pi\) |
0.933376 | + | 0.358899i | \(0.116848\pi\) | |||||||
\(620\) | −9.37334 | − | 28.8482i | −0.376443 | − | 1.15857i | ||||
\(621\) | 0 | 0 | ||||||||
\(622\) | −3.41692 | + | 2.48253i | −0.137006 | + | 0.0995406i | ||||
\(623\) | 7.33946 | + | 22.5885i | 0.294049 | + | 0.904991i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −0.809017 | − | 0.587785i | −0.0323607 | − | 0.0235114i | ||||
\(626\) | 62.6832 | 2.50532 | ||||||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −88.9493 | −3.54946 | ||||||||
\(629\) | 23.7263 | + | 17.2382i | 0.946030 | + | 0.687331i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 7.45705 | + | 22.9504i | 0.296860 | + | 0.913642i | 0.982590 | + | 0.185786i | \(0.0594831\pi\) |
−0.685730 | + | 0.727856i | \(0.740517\pi\) | |||||||
\(632\) | −42.1654 | + | 30.6350i | −1.67725 | + | 1.21859i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 7.67855 | + | 23.6321i | 0.304954 | + | 0.938552i | ||||
\(635\) | −5.96957 | + | 18.3724i | −0.236895 | + | 0.729088i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | −9.11024 | −0.360961 | ||||||||
\(638\) | 18.4076 | + | 21.0188i | 0.728766 | + | 0.832143i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 16.7724 | + | 12.1859i | 0.662989 | + | 0.481690i | ||||
\(641\) | 14.1378 | − | 43.5115i | 0.558408 | − | 1.71860i | −0.128362 | − | 0.991727i | \(-0.540972\pi\) |
0.686770 | − | 0.726875i | \(-0.259028\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 5.34699 | − | 3.88482i | 0.210865 | − | 0.153202i | −0.477340 | − | 0.878719i | \(-0.658399\pi\) |
0.688205 | + | 0.725516i | \(0.258399\pi\) | |||||||
\(644\) | −16.6045 | + | 12.0639i | −0.654310 | + | 0.475384i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | −17.4427 | + | 53.6832i | −0.686276 | + | 2.11214i | ||||
\(647\) | −1.50597 | − | 1.09415i | −0.0592058 | − | 0.0430155i | 0.557789 | − | 0.829983i | \(-0.311650\pi\) |
−0.616995 | + | 0.786967i | \(0.711650\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 30.7729 | + | 6.98528i | 1.20794 | + | 0.274196i | ||||
\(650\) | −6.99366 | −0.274314 | ||||||||
\(651\) | 0 | 0 | ||||||||
\(652\) | −22.9086 | + | 70.5054i | −0.897169 | + | 2.76120i | ||||
\(653\) | −9.86620 | − | 30.3650i | −0.386094 | − | 1.18828i | −0.935683 | − | 0.352841i | \(-0.885216\pi\) |
0.549589 | − | 0.835435i | \(-0.314784\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −11.2475 | + | 8.17179i | −0.439476 | + | 0.319298i | ||||
\(656\) | 5.43206 | + | 16.7181i | 0.212086 | + | 0.652734i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −0.103631 | − | 0.0752920i | −0.00403994 | − | 0.00293519i | ||||
\(659\) | 8.36924 | 0.326019 | 0.163010 | − | 0.986624i | \(-0.447880\pi\) | ||||
0.163010 | + | 0.986624i | \(0.447880\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −34.0773 | −1.32545 | −0.662726 | − | 0.748862i | \(-0.730601\pi\) | ||||
−0.662726 | + | 0.748862i | \(0.730601\pi\) | |||||||
\(662\) | 17.8713 | + | 12.9843i | 0.694589 | + | 0.504648i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 6.47796 | + | 19.9371i | 0.251394 | + | 0.773710i | ||||
\(665\) | −5.67356 | + | 4.12208i | −0.220011 | + | 0.159847i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −3.03177 | − | 9.33084i | −0.117391 | − | 0.361291i | ||||
\(668\) | 16.7106 | − | 51.4299i | 0.646552 | − | 1.98988i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 3.79102 | 0.146460 | ||||||||
\(671\) | −0.934482 | − | 10.2467i | −0.0360753 | − | 0.395568i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 1.67294 | + | 1.21546i | 0.0644870 | + | 0.0468525i | 0.619562 | − | 0.784948i | \(-0.287310\pi\) |
−0.555075 | + | 0.831800i | \(0.687310\pi\) | |||||||
\(674\) | −21.1195 | + | 64.9991i | −0.813493 | + | 2.50367i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | 13.5161 | − | 9.82001i | 0.519850 | − | 0.377693i | ||||
\(677\) | 14.6355 | − | 10.6333i | 0.562489 | − | 0.408672i | −0.269880 | − | 0.962894i | \(-0.586984\pi\) |
0.832369 | + | 0.554222i | \(0.186984\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 6.33652 | − | 19.5018i | 0.243173 | − | 0.748411i | ||||
\(680\) | 22.2625 | + | 16.1746i | 0.853728 | + | 0.620269i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 62.8967 | + | 14.2772i | 2.40844 | + | 0.546703i | ||||
\(683\) | 47.3828 | 1.81305 | 0.906526 | − | 0.422149i | \(-0.138724\pi\) | ||||
0.906526 | + | 0.422149i | \(0.138724\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −7.02301 | + | 21.6146i | −0.268336 | + | 0.825852i | ||||
\(686\) | 14.7527 | + | 45.4042i | 0.563261 | + | 1.73354i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 21.8830 | − | 15.8989i | 0.834280 | − | 0.606140i | ||||
\(689\) | 3.70839 | + | 11.4132i | 0.141278 | + | 0.434810i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | −12.8209 | − | 9.31495i | −0.487731 | − | 0.354358i | 0.316580 | − | 0.948566i | \(-0.397465\pi\) |
−0.804311 | + | 0.594208i | \(0.797465\pi\) | |||||||
\(692\) | −16.1342 | −0.613331 | ||||||||
\(693\) | 0 | 0 | ||||||||
\(694\) | −24.3558 | −0.924534 | ||||||||
\(695\) | 10.2826 | + | 7.47073i | 0.390040 | + | 0.283381i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | −14.4803 | − | 44.5657i | −0.548480 | − | 1.68805i | ||||
\(698\) | −45.9531 | + | 33.3869i | −1.73935 | + | 1.26371i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | 2.27392 | + | 6.99840i | 0.0859460 | + | 0.264514i | ||||
\(701\) | −8.12897 | + | 25.0184i | −0.307027 | + | 0.944932i | 0.671886 | + | 0.740655i | \(0.265484\pi\) |
−0.978913 | + | 0.204277i | \(0.934516\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −15.7711 | −0.594817 | ||||||||
\(704\) | −32.4083 | + | 13.8975i | −1.22144 | + | 0.523782i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −27.3932 | − | 19.9024i | −1.03096 | − | 0.749035i | ||||
\(707\) | −10.4800 | + | 32.2541i | −0.394140 | + | 1.21304i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −24.9444 | + | 18.1231i | −0.936805 | + | 0.680629i | −0.947649 | − | 0.319312i | \(-0.896548\pi\) |
0.0108444 | + | 0.999941i | \(0.496548\pi\) | |||||||
\(710\) | 11.7382 | − | 8.52833i | 0.440528 | − | 0.320063i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −15.4871 | + | 47.6645i | −0.580405 | + | 1.78630i | ||||
\(713\) | −18.3226 | − | 13.3121i | −0.686186 | − | 0.498543i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 4.95769 | − | 8.32020i | 0.185407 | − | 0.311158i | ||||
\(716\) | 27.8643 | 1.04134 | ||||||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 17.7861 | − | 54.7399i | 0.663770 | − | 2.04288i | ||||
\(719\) | −14.5990 | − | 44.9311i | −0.544451 | − | 1.67565i | −0.722292 | − | 0.691588i | \(-0.756911\pi\) |
0.177841 | − | 0.984059i | \(-0.443089\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −10.6295 | + | 7.72281i | −0.395865 | + | 0.287613i | ||||
\(722\) | 4.68129 | + | 14.4075i | 0.174220 | + | 0.536193i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 61.8439 | + | 44.9322i | 2.29841 | + | 1.66989i | ||||
\(725\) | −3.51753 | −0.130638 | ||||||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −24.4299 | −0.906054 | −0.453027 | − | 0.891497i | \(-0.649656\pi\) | ||||
−0.453027 | + | 0.891497i | \(0.649656\pi\) | |||||||
\(728\) | 19.3439 | + | 14.0542i | 0.716932 | + | 0.520882i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −1.75612 | − | 5.40478i | −0.0649969 | − | 0.200040i | ||||
\(731\) | −58.3336 | + | 42.3819i | −2.15755 | + | 1.56755i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | 8.64860 | + | 26.6177i | 0.319443 | + | 0.983146i | 0.973887 | + | 0.227035i | \(0.0729031\pi\) |
−0.654443 | + | 0.756111i | \(0.727097\pi\) | |||||||
\(734\) | 1.32994 | − | 4.09314i | 0.0490891 | − | 0.151081i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | 6.59766 | 0.243193 | ||||||||
\(737\) | −2.68739 | + | 4.51009i | −0.0989913 | + | 0.166131i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 2.18866 | + | 1.59015i | 0.0805111 | + | 0.0584947i | 0.627313 | − | 0.778767i | \(-0.284155\pi\) |
−0.546802 | + | 0.837262i | \(0.684155\pi\) | |||||||
\(740\) | −5.11373 | + | 15.7384i | −0.187984 | + | 0.578557i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | 15.6843 | − | 11.3953i | 0.575790 | − | 0.418336i | ||||
\(743\) | 3.35268 | − | 2.43586i | 0.122998 | − | 0.0893631i | −0.524586 | − | 0.851358i | \(-0.675780\pi\) |
0.647583 | + | 0.761995i | \(0.275780\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | −1.32962 | + | 4.09215i | −0.0487135 | + | 0.149925i | ||||
\(746\) | −13.3263 | − | 9.68215i | −0.487912 | − | 0.354489i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −75.3838 | + | 32.3265i | −2.75630 | + | 1.18197i | ||||
\(749\) | −18.9481 | −0.692348 | ||||||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −13.7301 | + | 42.2570i | −0.501019 | + | 1.54198i | 0.306342 | + | 0.951922i | \(0.400895\pi\) |
−0.807361 | + | 0.590058i | \(0.799105\pi\) | |||||||
\(752\) | −0.0208380 | − | 0.0641327i | −0.000759883 | − | 0.00233868i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −19.9021 | + | 14.4598i | −0.724793 | + | 0.526593i | ||||
\(755\) | −5.43388 | − | 16.7238i | −0.197759 | − | 0.608640i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −24.2625 | − | 17.6277i | −0.881835 | − | 0.640691i | 0.0519011 | − | 0.998652i | \(-0.483472\pi\) |
−0.933736 | + | 0.357961i | \(0.883472\pi\) | |||||||
\(758\) | 8.46192 | 0.307351 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −14.7980 | −0.536782 | ||||||||
\(761\) | 32.2328 | + | 23.4185i | 1.16844 | + | 0.848921i | 0.990821 | − | 0.135178i | \(-0.0431607\pi\) |
0.177618 | + | 0.984099i | \(0.443161\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −11.7240 | − | 36.0828i | −0.424437 | − | 1.30628i | ||||
\(764\) | 19.8004 | − | 14.3859i | 0.716354 | − | 0.520462i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | 1.40861 | + | 4.33524i | 0.0508950 | + | 0.156639i | ||||
\(767\) | −8.58577 | + | 26.4243i | −0.310014 | + | 0.954126i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 20.5304 | 0.740346 | 0.370173 | − | 0.928963i | \(-0.379298\pi\) | ||||
0.370173 | + | 0.928963i | \(0.379298\pi\) | |||||||
\(770\) | −15.2583 | − | 3.46356i | −0.549873 | − | 0.124818i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 20.6286 | + | 14.9876i | 0.742441 | + | 0.539415i | ||||
\(773\) | −5.04670 | + | 15.5321i | −0.181517 | + | 0.558652i | −0.999871 | − | 0.0160625i | \(-0.994887\pi\) |
0.818354 | + | 0.574715i | \(0.194887\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −6.56916 | + | 4.77277i | −0.235971 | + | 0.171443i | ||||
\(776\) | 35.0052 | − | 25.4328i | 1.25661 | − | 0.912984i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 5.19690 | − | 15.9944i | 0.186318 | − | 0.573428i | ||||
\(779\) | 20.3864 | + | 14.8116i | 0.730419 | + | 0.530681i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | 1.82491 | + | 20.0103i | 0.0653005 | + | 0.716025i | ||||
\(782\) | 44.2225 | 1.58139 | ||||||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −2.39421 | + | 7.36861i | −0.0855073 | + | 0.263164i | ||||
\(785\) | 7.35808 | + | 22.6458i | 0.262621 | + | 0.808265i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 5.97674 | − | 4.34236i | 0.213048 | − | 0.154788i | −0.476144 | − | 0.879367i | \(-0.657966\pi\) |
0.689192 | + | 0.724579i | \(0.257966\pi\) | |||||||
\(788\) | −3.98361 | − | 12.2603i | −0.141910 | − | 0.436755i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | 24.2945 | + | 17.6510i | 0.864358 | + | 0.627993i | ||||
\(791\) | −7.01823 | −0.249539 | ||||||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 9.05941 | 0.321709 | ||||||||
\(794\) | −24.2479 | − | 17.6171i | −0.860525 | − | 0.625208i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | −12.3219 | − | 37.9228i | −0.436737 | − | 1.34414i | ||||
\(797\) | 18.7331 | − | 13.6104i | 0.663562 | − | 0.482106i | −0.204302 | − | 0.978908i | \(-0.565492\pi\) |
0.867864 | + | 0.496802i | \(0.165492\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.0555480 | + | 0.170959i | 0.00196515 | + | 0.00604810i | ||||
\(800\) | 0.730963 | − | 2.24967i | 0.0258434 | − | 0.0795379i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −65.4491 | −2.31109 | ||||||||
\(803\) | 7.67482 | + | 1.74214i | 0.270839 | + | 0.0614789i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 4.44494 | + | 3.22944i | 0.156664 | + | 0.113823i | ||||
\(806\) | −17.5485 | + | 54.0086i | −0.618118 | + | 1.90237i | ||||
\(807\) | 0 | 0 | ||||||||
\(808\) | −57.8952 | + | 42.0633i | −2.03675 | + | 1.47978i | ||||
\(809\) | −12.0935 | + | 8.78647i | −0.425186 | + | 0.308916i | −0.779721 | − | 0.626127i | \(-0.784639\pi\) |
0.354535 | + | 0.935043i | \(0.384639\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −7.76050 | + | 23.8844i | −0.272508 | + | 0.838694i | 0.717360 | + | 0.696703i | \(0.245350\pi\) |
−0.989868 | + | 0.141991i | \(0.954650\pi\) | |||||||
\(812\) | 20.9405 | + | 15.2142i | 0.734868 | + | 0.533913i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −23.1823 | − | 26.4707i | −0.812538 | − | 0.927799i | ||||
\(815\) | 19.8452 | 0.695147 | ||||||||
\(816\) | 0 | 0 | ||||||||
\(817\) | 11.9821 | − | 36.8770i | 0.419200 | − | 1.29016i | ||||
\(818\) | 8.58402 | + | 26.4189i | 0.300133 | + | 0.923715i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 21.3912 | − | 15.5416i | 0.747013 | − | 0.542737i | ||||
\(821\) | 4.04920 | + | 12.4622i | 0.141318 | + | 0.434932i | 0.996519 | − | 0.0833641i | \(-0.0265664\pi\) |
−0.855201 | + | 0.518296i | \(0.826566\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | 16.6448 | + | 12.0932i | 0.580202 | + | 0.421541i | 0.838797 | − | 0.544444i | \(-0.183259\pi\) |
−0.258595 | + | 0.965986i | \(0.583259\pi\) | |||||||
\(824\) | −27.7245 | −0.965828 | ||||||||
\(825\) | 0 | 0 | ||||||||
\(826\) | 44.8852 | 1.56176 | ||||||||
\(827\) | 10.2214 | + | 7.42627i | 0.355432 | + | 0.258237i | 0.751144 | − | 0.660138i | \(-0.229502\pi\) |
−0.395712 | + | 0.918375i | \(0.629502\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 2.40686 | + | 7.40755i | 0.0835937 | + | 0.257275i | 0.984114 | − | 0.177540i | \(-0.0568139\pi\) |
−0.900520 | + | 0.434815i | \(0.856814\pi\) | |||||||
\(830\) | 9.77157 | − | 7.09946i | 0.339176 | − | 0.246426i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | −9.59432 | − | 29.5283i | −0.332623 | − | 1.02371i | ||||
\(833\) | 6.38226 | − | 19.6426i | 0.221132 | − | 0.680575i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −14.4760 | −0.500963 | ||||||||
\(836\) | 22.5782 | − | 37.8917i | 0.780885 | − | 1.31051i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | 17.5838 | + | 12.7754i | 0.607424 | + | 0.441319i | ||||
\(839\) | −9.44113 | + | 29.0568i | −0.325944 | + | 1.00315i | 0.645068 | + | 0.764125i | \(0.276829\pi\) |
−0.971013 | + | 0.239028i | \(0.923171\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | 13.4515 | − | 9.77311i | 0.463846 | − | 0.337004i | ||||
\(842\) | 35.8735 | − | 26.0636i | 1.23628 | − | 0.898212i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −1.59214 | + | 4.90009i | −0.0548036 | + | 0.168668i | ||||
\(845\) | −3.61819 | − | 2.62877i | −0.124469 | − | 0.0904323i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | 14.9369 | − | 15.6972i | 0.513238 | − | 0.539364i | ||||
\(848\) | 10.2059 | 0.350472 | ||||||||
\(849\) | 0 | 0 | ||||||||
\(850\) | 4.89947 | − | 15.0790i | 0.168050 | − | 0.517206i | ||||
\(851\) | 3.81816 | + | 11.7511i | 0.130885 | + | 0.402822i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | −20.7705 | + | 15.0906i | −0.711167 | + | 0.516693i | −0.883550 | − | 0.468337i | \(-0.844853\pi\) |
0.172383 | + | 0.985030i | \(0.444853\pi\) | |||||||
\(854\) | −4.52260 | − | 13.9191i | −0.154760 | − | 0.476303i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −32.3467 | − | 23.5013i | −1.10559 | − | 0.803256i | ||||
\(857\) | −14.7370 | −0.503407 | −0.251703 | − | 0.967804i | \(-0.580991\pi\) | ||||
−0.251703 | + | 0.967804i | \(0.580991\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −1.68741 | −0.0575738 | −0.0287869 | − | 0.999586i | \(-0.509164\pi\) | ||||
−0.0287869 | + | 0.999586i | \(0.509164\pi\) | |||||||
\(860\) | −32.9156 | − | 23.9146i | −1.12241 | − | 0.815481i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 18.3472 | + | 56.4670i | 0.624909 | + | 1.92327i | ||||
\(863\) | −10.6364 | + | 7.72777i | −0.362066 | + | 0.263056i | −0.753913 | − | 0.656974i | \(-0.771836\pi\) |
0.391847 | + | 0.920030i | \(0.371836\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | 1.33466 | + | 4.10765i | 0.0453797 | + | 0.139664i | ||||
\(866\) | 26.1879 | − | 80.5981i | 0.889901 | − | 2.73883i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | 59.7509 | 2.02808 | ||||||||
\(869\) | −38.2209 | + | 16.3901i | −1.29655 | + | 0.555995i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −3.73972 | − | 2.71707i | −0.126716 | − | 0.0920643i | ||||
\(872\) | 24.7390 | − | 76.1389i | 0.837769 | − | 2.57839i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | −19.2393 | + | 13.9782i | −0.650779 | + | 0.472819i | ||||
\(875\) | 1.59364 | − | 1.15785i | 0.0538748 | − | 0.0391423i | ||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −14.5081 | + | 44.6513i | −0.489904 | + | 1.50777i | 0.334847 | + | 0.942273i | \(0.391315\pi\) |
−0.824751 | + | 0.565496i | \(0.808685\pi\) | |||||||
\(878\) | −19.9402 | − | 14.4874i | −0.672950 | − | 0.488927i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | −5.42670 | − | 6.19649i | −0.182934 | − | 0.208884i | ||||
\(881\) | 14.1843 | 0.477880 | 0.238940 | − | 0.971034i | \(-0.423200\pi\) | ||||
0.238940 | + | 0.971034i | \(0.423200\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −3.21065 | + | 9.88136i | −0.108047 | + | 0.332534i | −0.990433 | − | 0.137991i | \(-0.955936\pi\) |
0.882387 | + | 0.470525i | \(0.155936\pi\) | |||||||
\(884\) | −22.3170 | − | 68.6846i | −0.750601 | − | 2.31011i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 69.4607 | − | 50.4662i | 2.33358 | − | 1.69544i | ||||
\(887\) | −1.18899 | − | 3.65932i | −0.0399222 | − | 0.122868i | 0.929109 | − | 0.369806i | \(-0.120576\pi\) |
−0.969031 | + | 0.246938i | \(0.920576\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −30.7858 | − | 22.3672i | −1.03252 | − | 0.750171i | ||||
\(890\) | 28.8761 | 0.967931 | ||||||||
\(891\) | 0 | 0 | ||||||||
\(892\) | 45.2150 | 1.51391 | ||||||||
\(893\) | −0.0782046 | − | 0.0568189i | −0.00261702 | − | 0.00190137i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −2.30499 | − | 7.09404i | −0.0770474 | − | 0.237128i | ||||
\(896\) | −33.0391 | + | 24.0043i | −1.10376 | + | 0.801928i | ||||
\(897\) | 0 | 0 | ||||||||
\(898\) | 19.8661 | + | 61.1416i | 0.662941 | + | 2.04032i | ||||
\(899\) | −8.82616 | + | 27.1641i | −0.294369 | + | 0.905974i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | −27.2060 | −0.906363 | ||||||||
\(902\) | 5.10614 | + | 55.9892i | 0.170016 | + | 1.86424i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −11.9810 | − | 8.70468i | −0.398481 | − | 0.289513i | ||||
\(905\) | 6.32355 | − | 19.4619i | 0.210202 | − | 0.646935i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | −0.974354 | + | 0.707910i | −0.0323529 | + | 0.0235058i | −0.603844 | − | 0.797102i | \(-0.706365\pi\) |
0.571491 | + | 0.820608i | \(0.306365\pi\) | |||||||
\(908\) | −52.3802 | + | 38.0564i | −1.73830 | + | 1.26295i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 4.25715 | − | 13.1022i | 0.141123 | − | 0.434332i | ||||
\(911\) | −31.4956 | − | 22.8829i | −1.04349 | − | 0.758143i | −0.0725299 | − | 0.997366i | \(-0.523107\pi\) |
−0.970965 | + | 0.239223i | \(0.923107\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 1.51916 | + | 16.6577i | 0.0502769 | + | 0.551290i | ||||
\(914\) | 47.0313 | 1.55566 | ||||||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −0.966408 | + | 2.97430i | −0.0319310 | + | 0.0982736i | ||||
\(917\) | −8.46278 | − | 26.0457i | −0.279465 | − | 0.860106i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | 7.74032 | − | 5.62368i | 0.255330 | − | 0.185508i | −0.452756 | − | 0.891635i | \(-0.649559\pi\) |
0.708086 | + | 0.706127i | \(0.249559\pi\) | |||||||
\(920\) | 3.58260 | + | 11.0261i | 0.118115 | + | 0.363520i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 37.9030 | + | 27.5382i | 1.24827 | + | 0.906921i | ||||
\(923\) | −17.6918 | −0.582332 | ||||||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 4.42991 | 0.145655 | ||||||||
\(926\) | −28.5735 | − | 20.7599i | −0.938983 | − | 0.682211i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | −2.57118 | − | 7.91329i | −0.0844032 | − | 0.259766i | ||||
\(929\) | 5.22304 | − | 3.79476i | 0.171362 | − | 0.124502i | −0.498798 | − | 0.866718i | \(-0.666225\pi\) |
0.670161 | + | 0.742216i | \(0.266225\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 3.43212 | + | 10.5630i | 0.112483 | + | 0.346188i | ||||
\(932\) | 21.9884 | − | 67.6734i | 0.720255 | − | 2.21672i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 24.6793 | 0.807532 | ||||||||
\(935\) | 14.4660 | + | 16.5181i | 0.473089 | + | 0.540198i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | −0.387158 | − | 0.281287i | −0.0126479 | − | 0.00918924i | 0.581443 | − | 0.813587i | \(-0.302488\pi\) |
−0.594091 | + | 0.804398i | \(0.702488\pi\) | |||||||
\(938\) | −2.30765 | + | 7.10222i | −0.0753475 | + | 0.231896i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | −0.0820591 | + | 0.0596194i | −0.00267647 | + | 0.00194457i | ||||
\(941\) | −14.8330 | + | 10.7768i | −0.483541 | + | 0.351313i | −0.802695 | − | 0.596390i | \(-0.796601\pi\) |
0.319154 | + | 0.947703i | \(0.396601\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 6.10066 | − | 18.7759i | 0.198665 | − | 0.611427i | ||||
\(944\) | 19.1163 | + | 13.8888i | 0.622182 | + | 0.452042i | ||||
\(945\) | 0 | 0 | ||||||||
\(946\) | 79.5086 | − | 34.0953i | 2.58505 | − | 1.10853i | ||||
\(947\) | −23.6619 | −0.768908 | −0.384454 | − | 0.923144i | \(-0.625610\pi\) | ||||
−0.384454 | + | 0.923144i | \(0.625610\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −2.14131 | + | 6.59028i | −0.0695099 | + | 0.213930i | ||||
\(950\) | 2.63474 | + | 8.10889i | 0.0854822 | + | 0.263087i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −43.8536 | + | 31.8615i | −1.42130 | + | 1.03264i | ||||
\(953\) | 6.02925 | + | 18.5561i | 0.195307 | + | 0.601092i | 0.999973 | + | 0.00736474i | \(0.00234429\pi\) |
−0.804666 | + | 0.593728i | \(0.797656\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | −5.30047 | − | 3.85102i | −0.171519 | − | 0.124616i | ||||
\(956\) | −96.3544 | −3.11632 | ||||||||
\(957\) | 0 | 0 | ||||||||
\(958\) | 27.2962 | 0.881899 | ||||||||
\(959\) | −36.2185 | − | 26.3143i | −1.16956 | − | 0.849733i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 10.7949 | + | 33.2234i | 0.348224 | + | 1.07172i | ||||
\(962\) | 25.0644 | − | 18.2104i | 0.808109 | − | 0.587126i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | −19.7026 | − | 60.6385i | −0.634579 | − | 1.95303i | ||||
\(965\) | 2.10928 | − | 6.49171i | 0.0679003 | − | 0.208976i | ||||
\(966\) | 0 | 0 | ||||||||
\(967\) | −13.3686 | −0.429905 | −0.214953 | − | 0.976624i | \(-0.568960\pi\) | ||||
−0.214953 | + | 0.976624i | \(0.568960\pi\) | |||||||
\(968\) | 44.9684 | − | 8.27090i | 1.44534 | − | 0.265837i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | −20.1690 | − | 14.6536i | −0.647586 | − | 0.470499i | ||||
\(971\) | 17.1814 | − | 52.8788i | 0.551377 | − | 1.69696i | −0.153948 | − | 0.988079i | \(-0.549199\pi\) |
0.705325 | − | 0.708884i | \(-0.250801\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −20.2551 | + | 14.7162i | −0.649348 | + | 0.471779i | ||||
\(974\) | −67.1225 | + | 48.7674i | −2.15074 | + | 1.56261i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | 2.38085 | − | 7.32749i | 0.0762090 | − | 0.234547i | ||||
\(977\) | 34.7123 | + | 25.2200i | 1.11055 | + | 0.806858i | 0.982749 | − | 0.184942i | \(-0.0592098\pi\) |
0.127796 | + | 0.991800i | \(0.459210\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | −20.4698 | + | 34.3533i | −0.654218 | + | 1.09794i | ||||
\(980\) | 11.6540 | 0.372273 | ||||||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 27.0978 | − | 83.3984i | 0.864725 | − | 2.66135i | ||||
\(983\) | 10.6854 | + | 32.8864i | 0.340812 | + | 1.04891i | 0.963788 | + | 0.266671i | \(0.0859236\pi\) |
−0.622976 | + | 0.782241i | \(0.714076\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | −2.79185 | + | 2.02840i | −0.0889557 | + | 0.0646301i | ||||
\(986\) | −17.2340 | − | 53.0409i | −0.548843 | − | 1.68917i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 31.4195 | + | 22.8276i | 0.999587 | + | 0.726242i | ||||
\(989\) | −30.3781 | −0.965968 | ||||||||
\(990\) | 0 | 0 | ||||||||
\(991\) | 15.5839 | 0.495038 | 0.247519 | − | 0.968883i | \(-0.420385\pi\) | ||||
0.247519 | + | 0.968883i | \(0.420385\pi\) | |||||||
\(992\) | −15.5390 | − | 11.2897i | −0.493363 | − | 0.358449i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 8.83201 | + | 27.1821i | 0.280134 | + | 0.862165i | ||||
\(995\) | −8.63558 | + | 6.27412i | −0.273766 | + | 0.198903i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 1.24866 | + | 3.84297i | 0.0395454 | + | 0.121708i | 0.968880 | − | 0.247530i | \(-0.0796188\pi\) |
−0.929335 | + | 0.369238i | \(0.879619\pi\) | |||||||
\(998\) | 15.8016 | − | 48.6322i | 0.500190 | − | 1.53943i | ||||
\(999\) | 0 | 0 |
(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 | 495.2.n.h.136.4 | yes | 16 | |
3.2 | odd | 2 | 495.2.n.g.136.1 | yes | 16 | ||
11.3 | even | 5 | inner | 495.2.n.h.91.4 | yes | 16 | |
11.5 | even | 5 | 5445.2.a.ca.1.2 | 8 | |||
11.6 | odd | 10 | 5445.2.a.cc.1.7 | 8 | |||
33.5 | odd | 10 | 5445.2.a.cd.1.7 | 8 | |||
33.14 | odd | 10 | 495.2.n.g.91.1 | ✓ | 16 | ||
33.17 | even | 10 | 5445.2.a.cb.1.2 | 8 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
495.2.n.g.91.1 | ✓ | 16 | 33.14 | odd | 10 | ||
495.2.n.g.136.1 | yes | 16 | 3.2 | odd | 2 | ||
495.2.n.h.91.4 | yes | 16 | 11.3 | even | 5 | inner | |
495.2.n.h.136.4 | yes | 16 | 1.1 | even | 1 | trivial | |
5445.2.a.ca.1.2 | 8 | 11.5 | even | 5 | |||
5445.2.a.cb.1.2 | 8 | 33.17 | even | 10 | |||
5445.2.a.cc.1.7 | 8 | 11.6 | odd | 10 | |||
5445.2.a.cd.1.7 | 8 | 33.5 | odd | 10 |