Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [414,2,Mod(55,414)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(414, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 10]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("414.55");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 414 = 2 \cdot 3^{2} \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 414.i (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: | \(3.30580664368\) |
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: | \(\Z[a_1, a_2]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | no (minimal twist has level 138) |
Sato-Tate group: | $\mathrm{SU}(2)[C_{11}]$ |
Embedding invariants
Embedding label | 361.1 | ||
Root | \(-0.841254 - 0.540641i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 414.361 |
Dual form | 414.2.i.d.289.1 |
$q$-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 \(\left(\mathbb{Z}/414\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(235\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{4}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.654861 | − | 0.755750i | 0.463056 | − | 0.534396i | ||||
\(3\) | 0 | 0 | ||||||||
\(4\) | −0.142315 | − | 0.989821i | −0.0711574 | − | 0.494911i | ||||
\(5\) | 0.614354 | + | 1.34525i | 0.274747 | + | 0.601613i | 0.995829 | − | 0.0912371i | \(-0.0290821\pi\) |
−0.721082 | + | 0.692850i | \(0.756355\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 3.07385 | − | 0.902563i | 1.16180 | − | 0.341137i | 0.356671 | − | 0.934230i | \(-0.383912\pi\) |
0.805134 | + | 0.593093i | \(0.202093\pi\) | |||||||
\(8\) | −0.841254 | − | 0.540641i | −0.297428 | − | 0.191145i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 1.41899 | + | 0.416652i | 0.448723 | + | 0.131757i | ||||
\(11\) | 0.0362090 | + | 0.0417874i | 0.0109174 | + | 0.0125994i | 0.761182 | − | 0.648538i | \(-0.224619\pi\) |
−0.750265 | + | 0.661138i | \(0.770074\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 0.773100 | + | 0.227003i | 0.214419 | + | 0.0629592i | 0.387178 | − | 0.922005i | \(-0.373450\pi\) |
−0.172759 | + | 0.984964i | \(0.555268\pi\) | |||||||
\(14\) | 1.33083 | − | 2.91411i | 0.355679 | − | 0.778829i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −0.959493 | + | 0.281733i | −0.239873 | + | 0.0704331i | ||||
\(17\) | 0.293103 | − | 2.03857i | 0.0710879 | − | 0.494427i | −0.922909 | − | 0.385018i | \(-0.874195\pi\) |
0.993997 | − | 0.109409i | \(-0.0348957\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | 0.523231 | + | 3.63915i | 0.120037 | + | 0.834879i | 0.957510 | + | 0.288399i | \(0.0931231\pi\) |
−0.837473 | + | 0.546479i | \(0.815968\pi\) | |||||||
\(20\) | 1.24412 | − | 0.799549i | 0.278194 | − | 0.178785i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 0.0552927 | 0.0117884 | ||||||||
\(23\) | 4.62936 | + | 1.25259i | 0.965289 | + | 0.261183i | ||||
\(24\) | 0 | 0 | ||||||||
\(25\) | 1.84204 | − | 2.12583i | 0.368409 | − | 0.425167i | ||||
\(26\) | 0.677830 | − | 0.435615i | 0.132933 | − | 0.0854311i | ||||
\(27\) | 0 | 0 | ||||||||
\(28\) | −1.33083 | − | 2.91411i | −0.251503 | − | 0.550715i | ||||
\(29\) | 1.04541 | − | 7.27098i | 0.194128 | − | 1.35019i | −0.626811 | − | 0.779171i | \(-0.715640\pi\) |
0.820939 | − | 0.571016i | \(-0.193451\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −6.69256 | − | 4.30105i | −1.20202 | − | 0.772491i | −0.222715 | − | 0.974884i | \(-0.571492\pi\) |
−0.979305 | + | 0.202392i | \(0.935128\pi\) | |||||||
\(32\) | −0.415415 | + | 0.909632i | −0.0734357 | + | 0.160802i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | −1.34871 | − | 1.55649i | −0.231302 | − | 0.266937i | ||||
\(35\) | 3.10260 | + | 3.58059i | 0.524435 | + | 0.605230i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | −1.28287 | + | 2.80909i | −0.210902 | + | 0.461811i | −0.985288 | − | 0.170903i | \(-0.945332\pi\) |
0.774386 | + | 0.632713i | \(0.218059\pi\) | |||||||
\(38\) | 3.09293 | + | 1.98771i | 0.501740 | + | 0.322448i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | 0.210468 | − | 1.46384i | 0.0332779 | − | 0.231453i | ||||
\(41\) | 0.606395 | + | 1.32782i | 0.0947030 | + | 0.207371i | 0.951055 | − | 0.309022i | \(-0.100002\pi\) |
−0.856352 | + | 0.516393i | \(0.827274\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | −10.5428 | + | 6.77544i | −1.60776 | + | 1.03324i | −0.644526 | + | 0.764582i | \(0.722945\pi\) |
−0.963234 | + | 0.268663i | \(0.913418\pi\) | |||||||
\(44\) | 0.0362090 | − | 0.0417874i | 0.00545871 | − | 0.00629969i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 3.97823 | − | 2.67837i | 0.586559 | − | 0.394904i | ||||
\(47\) | 1.27459 | 0.185918 | 0.0929591 | − | 0.995670i | \(-0.470367\pi\) | ||||
0.0929591 | + | 0.995670i | \(0.470367\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 2.74514 | − | 1.76419i | 0.392163 | − | 0.252028i | ||||
\(50\) | −0.400315 | − | 2.78425i | −0.0566130 | − | 0.393752i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 0.114669 | − | 0.797537i | 0.0159017 | − | 0.110598i | ||||
\(53\) | −10.5975 | + | 3.11170i | −1.45567 | + | 0.427424i | −0.911413 | − | 0.411492i | \(-0.865008\pi\) |
−0.544260 | + | 0.838916i | \(0.683190\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | −0.0339693 | + | 0.0743823i | −0.00458041 | + | 0.0100297i | ||||
\(56\) | −3.07385 | − | 0.902563i | −0.410760 | − | 0.120610i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −4.81044 | − | 5.55155i | −0.631642 | − | 0.728954i | ||||
\(59\) | −5.14362 | − | 1.51030i | −0.669642 | − | 0.196625i | −0.0707986 | − | 0.997491i | \(-0.522555\pi\) |
−0.598844 | + | 0.800866i | \(0.704373\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 10.2645 | + | 6.59662i | 1.31424 | + | 0.844611i | 0.994686 | − | 0.102957i | \(-0.0328303\pi\) |
0.319555 | + | 0.947568i | \(0.396467\pi\) | |||||||
\(62\) | −7.63321 | + | 2.24131i | −0.969419 | + | 0.284647i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | 0.415415 | + | 0.909632i | 0.0519269 | + | 0.113704i | ||||
\(65\) | 0.169582 | + | 1.17947i | 0.0210341 | + | 0.146295i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | −2.96073 | + | 3.41687i | −0.361711 | + | 0.417437i | −0.907212 | − | 0.420673i | \(-0.861794\pi\) |
0.545501 | + | 0.838110i | \(0.316339\pi\) | |||||||
\(68\) | −2.05954 | −0.249756 | ||||||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 4.73780 | 0.566275 | ||||||||
\(71\) | −9.56286 | + | 11.0361i | −1.13490 | + | 1.30975i | −0.190228 | + | 0.981740i | \(0.560923\pi\) |
−0.944675 | + | 0.328008i | \(0.893623\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | 1.40345 | + | 9.76122i | 0.164262 | + | 1.14246i | 0.890487 | + | 0.455008i | \(0.150364\pi\) |
−0.726226 | + | 0.687456i | \(0.758727\pi\) | |||||||
\(74\) | 1.28287 | + | 2.80909i | 0.149130 | + | 0.326550i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | 3.52765 | − | 1.03581i | 0.404649 | − | 0.118816i | ||||
\(77\) | 0.149017 | + | 0.0957672i | 0.0169820 | + | 0.0109137i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | −3.47320 | − | 1.01982i | −0.390765 | − | 0.114739i | 0.0804469 | − | 0.996759i | \(-0.474365\pi\) |
−0.471212 | + | 0.882020i | \(0.656183\pi\) | |||||||
\(80\) | −0.968468 | − | 1.11767i | −0.108278 | − | 0.124959i | ||||
\(81\) | 0 | 0 | ||||||||
\(82\) | 1.40060 | + | 0.411254i | 0.154671 | + | 0.0454155i | ||||
\(83\) | 4.16838 | − | 9.12749i | 0.457540 | − | 1.00187i | −0.530502 | − | 0.847684i | \(-0.677996\pi\) |
0.988041 | − | 0.154188i | \(-0.0492763\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | 2.92245 | − | 0.858110i | 0.316985 | − | 0.0930751i | ||||
\(86\) | −1.78352 | + | 12.4047i | −0.192322 | + | 1.33763i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −0.00786897 | − | 0.0547299i | −0.000838835 | − | 0.00583422i | ||||
\(89\) | 6.94243 | − | 4.46163i | 0.735896 | − | 0.472932i | −0.118237 | − | 0.992985i | \(-0.537724\pi\) |
0.854134 | + | 0.520054i | \(0.174088\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | 2.58128 | 0.270591 | ||||||||
\(92\) | 0.581014 | − | 4.76051i | 0.0605749 | − | 0.496317i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 0.834679 | − | 0.963271i | 0.0860906 | − | 0.0993539i | ||||
\(95\) | −4.57411 | + | 2.93960i | −0.469294 | + | 0.301597i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 2.91463 | + | 6.38215i | 0.295936 | + | 0.648009i | 0.997939 | − | 0.0641646i | \(-0.0204383\pi\) |
−0.702004 | + | 0.712173i | \(0.747711\pi\) | |||||||
\(98\) | 0.464395 | − | 3.22994i | 0.0469110 | − | 0.326273i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | −2.36635 | − | 1.52076i | −0.236635 | − | 0.152076i | ||||
\(101\) | −6.37690 | + | 13.9635i | −0.634526 | + | 1.38942i | 0.269943 | + | 0.962876i | \(0.412995\pi\) |
−0.904468 | + | 0.426541i | \(0.859732\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −10.0337 | − | 11.5795i | −0.988648 | − | 1.14096i | −0.990015 | − | 0.140962i | \(-0.954981\pi\) |
0.00136697 | − | 0.999999i | \(-0.499565\pi\) | |||||||
\(104\) | −0.527646 | − | 0.608936i | −0.0517400 | − | 0.0597111i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −4.58820 | + | 10.0468i | −0.445645 | + | 0.975827i | ||||
\(107\) | 8.13948 | + | 5.23093i | 0.786873 | + | 0.505693i | 0.871308 | − | 0.490736i | \(-0.163272\pi\) |
−0.0844348 | + | 0.996429i | \(0.526908\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 1.90704 | − | 13.2638i | 0.182662 | − | 1.27044i | −0.667775 | − | 0.744363i | \(-0.732753\pi\) |
0.850437 | − | 0.526077i | \(-0.176338\pi\) | |||||||
\(110\) | 0.0339693 | + | 0.0743823i | 0.00323884 | + | 0.00709207i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | −2.69505 | + | 1.73201i | −0.254659 | + | 0.163659i | ||||
\(113\) | 5.38879 | − | 6.21899i | 0.506934 | − | 0.585033i | −0.443377 | − | 0.896335i | \(-0.646220\pi\) |
0.950311 | + | 0.311302i | \(0.100765\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.15902 | + | 6.99717i | 0.108079 | + | 0.652490i | ||||
\(116\) | −7.34575 | −0.682036 | ||||||||
\(117\) | 0 | 0 | ||||||||
\(118\) | −4.50977 | + | 2.89825i | −0.415158 | + | 0.266806i | ||||
\(119\) | −0.938989 | − | 6.53081i | −0.0860769 | − | 0.598678i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | 1.56503 | − | 10.8850i | 0.142275 | − | 0.989546i | ||||
\(122\) | 11.7072 | − | 3.43756i | 1.05992 | − | 0.311222i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | −3.30482 | + | 7.23654i | −0.296782 | + | 0.649861i | ||||
\(125\) | 11.0864 | + | 3.25525i | 0.991595 | + | 0.291159i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −12.6731 | − | 14.6256i | −1.12456 | − | 1.29781i | −0.949681 | − | 0.313219i | \(-0.898593\pi\) |
−0.174877 | − | 0.984590i | \(-0.555953\pi\) | |||||||
\(128\) | 0.959493 | + | 0.281733i | 0.0848080 | + | 0.0249019i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 1.00244 | + | 0.644227i | 0.0879196 | + | 0.0565025i | ||||
\(131\) | −20.0561 | + | 5.88899i | −1.75231 | + | 0.514523i | −0.990999 | − | 0.133869i | \(-0.957260\pi\) |
−0.761306 | + | 0.648392i | \(0.775442\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 4.89289 | + | 10.7139i | 0.424268 | + | 0.929017i | ||||
\(134\) | 0.643429 | + | 4.47515i | 0.0555838 | + | 0.386594i | ||||
\(135\) | 0 | 0 | ||||||||
\(136\) | −1.34871 | + | 1.55649i | −0.115651 | + | 0.133468i | ||||
\(137\) | −5.89909 | −0.503993 | −0.251997 | − | 0.967728i | \(-0.581087\pi\) | ||||
−0.251997 | + | 0.967728i | \(0.581087\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | −4.04356 | −0.342971 | −0.171485 | − | 0.985187i | \(-0.554857\pi\) | ||||
−0.171485 | + | 0.985187i | \(0.554857\pi\) | |||||||
\(140\) | 3.10260 | − | 3.58059i | 0.262217 | − | 0.302615i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | 2.07821 | + | 14.4543i | 0.174399 | + | 1.21297i | ||||
\(143\) | 0.0185073 | + | 0.0405254i | 0.00154766 | + | 0.00338890i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | 10.4235 | − | 3.06062i | 0.865626 | − | 0.254171i | ||||
\(146\) | 8.29611 | + | 5.33158i | 0.686591 | + | 0.441245i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | 2.96306 | + | 0.870034i | 0.243562 | + | 0.0715164i | ||||
\(149\) | −5.37873 | − | 6.20739i | −0.440643 | − | 0.508529i | 0.491372 | − | 0.870950i | \(-0.336496\pi\) |
−0.932014 | + | 0.362421i | \(0.881950\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | 12.3286 | + | 3.62000i | 1.00328 | + | 0.294591i | 0.741803 | − | 0.670617i | \(-0.233971\pi\) |
0.261482 | + | 0.965208i | \(0.415789\pi\) | |||||||
\(152\) | 1.52730 | − | 3.34433i | 0.123881 | − | 0.271261i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 0.169961 | − | 0.0499051i | 0.0136959 | − | 0.00402147i | ||||
\(155\) | 1.67437 | − | 11.6455i | 0.134489 | − | 0.935390i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | −0.557702 | − | 3.87890i | −0.0445095 | − | 0.309570i | −0.999899 | − | 0.0142211i | \(-0.995473\pi\) |
0.955389 | − | 0.295349i | \(-0.0954360\pi\) | |||||||
\(158\) | −3.04519 | + | 1.95703i | −0.242262 | + | 0.155693i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −1.47889 | −0.116917 | ||||||||
\(161\) | 15.3605 | − | 0.328020i | 1.21058 | − | 0.0258516i | ||||
\(162\) | 0 | 0 | ||||||||
\(163\) | −10.2975 | + | 11.8839i | −0.806560 | + | 0.930820i | −0.998722 | − | 0.0505437i | \(-0.983905\pi\) |
0.192162 | + | 0.981363i | \(0.438450\pi\) | |||||||
\(164\) | 1.22801 | − | 0.789191i | 0.0958911 | − | 0.0616255i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −4.16838 | − | 9.12749i | −0.323529 | − | 0.708431i | ||||
\(167\) | −0.572056 | + | 3.97873i | −0.0442670 | + | 0.307884i | 0.955644 | + | 0.294525i | \(0.0951614\pi\) |
−0.999911 | + | 0.0133587i | \(0.995748\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −10.3901 | − | 6.67734i | −0.799242 | − | 0.513641i | ||||
\(170\) | 1.26528 | − | 2.77059i | 0.0970429 | − | 0.212494i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 8.20687 | + | 9.47123i | 0.625768 | + | 0.722175i | ||||
\(173\) | 3.44095 | + | 3.97106i | 0.261610 | + | 0.301914i | 0.871325 | − | 0.490707i | \(-0.163261\pi\) |
−0.609715 | + | 0.792621i | \(0.708716\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | 3.74347 | − | 8.19705i | 0.282979 | − | 0.619638i | ||||
\(176\) | −0.0465151 | − | 0.0298935i | −0.00350621 | − | 0.00225331i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | 1.17445 | − | 8.16849i | 0.0880288 | − | 0.612254i | ||||
\(179\) | 0.877732 | + | 1.92196i | 0.0656048 | + | 0.143654i | 0.939594 | − | 0.342291i | \(-0.111203\pi\) |
−0.873989 | + | 0.485945i | \(0.838475\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −0.194228 | + | 0.124823i | −0.0144369 | + | 0.00927802i | −0.547839 | − | 0.836584i | \(-0.684549\pi\) |
0.533402 | + | 0.845862i | \(0.320913\pi\) | |||||||
\(182\) | 1.69038 | − | 1.95080i | 0.125299 | − | 0.144603i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | −3.21727 | − | 3.55657i | −0.237180 | − | 0.262194i | ||||
\(185\) | −4.56705 | −0.335776 | ||||||||
\(186\) | 0 | 0 | ||||||||
\(187\) | 0.0957997 | − | 0.0615667i | 0.00700557 | − | 0.00450220i | ||||
\(188\) | −0.181393 | − | 1.26162i | −0.0132295 | − | 0.0920129i | ||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −0.773802 | + | 5.38191i | −0.0561375 | + | 0.390445i | ||||
\(191\) | 4.22482 | − | 1.24052i | 0.305697 | − | 0.0897608i | −0.125286 | − | 0.992121i | \(-0.539985\pi\) |
0.430984 | + | 0.902360i | \(0.358167\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | 8.93029 | − | 19.5546i | 0.642817 | − | 1.40757i | −0.254886 | − | 0.966971i | \(-0.582038\pi\) |
0.897703 | − | 0.440601i | \(-0.145235\pi\) | |||||||
\(194\) | 6.73198 | + | 1.97669i | 0.483328 | + | 0.141918i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −2.13691 | − | 2.46613i | −0.152636 | − | 0.176152i | ||||
\(197\) | 8.53190 | + | 2.50519i | 0.607873 | + | 0.178487i | 0.571160 | − | 0.820838i | \(-0.306493\pi\) |
0.0367120 | + | 0.999326i | \(0.488312\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | 15.2730 | + | 9.81535i | 1.08267 | + | 0.695792i | 0.955173 | − | 0.296047i | \(-0.0956685\pi\) |
0.127500 | + | 0.991839i | \(0.459305\pi\) | |||||||
\(200\) | −2.69894 | + | 0.792480i | −0.190844 | + | 0.0560368i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 6.37690 | + | 13.9635i | 0.448677 | + | 0.982466i | ||||
\(203\) | −3.34909 | − | 23.2934i | −0.235060 | − | 1.63488i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −1.41370 | + | 1.63150i | −0.0987374 | + | 0.113949i | ||||
\(206\) | −15.3219 | −1.06752 | ||||||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −0.805738 | −0.0558679 | ||||||||
\(209\) | −0.133125 | + | 0.153634i | −0.00920845 | + | 0.0106271i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −2.44839 | − | 17.0289i | −0.168554 | − | 1.17232i | −0.881876 | − | 0.471482i | \(-0.843719\pi\) |
0.713322 | − | 0.700836i | \(-0.247190\pi\) | |||||||
\(212\) | 4.58820 | + | 10.0468i | 0.315119 | + | 0.690014i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | 9.28350 | − | 2.72588i | 0.634607 | − | 0.186337i | ||||
\(215\) | −15.5916 | − | 10.0201i | −1.06334 | − | 0.683368i | ||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −24.4539 | − | 7.18031i | −1.66004 | − | 0.487431i | ||||
\(218\) | −8.77525 | − | 10.1272i | −0.594335 | − | 0.685899i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 0.0784595 | + | 0.0230378i | 0.00528974 | + | 0.00155321i | ||||
\(221\) | 0.689360 | − | 1.50949i | 0.0463713 | − | 0.101539i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | 9.25505 | − | 2.71753i | 0.619764 | − | 0.181979i | 0.0432473 | − | 0.999064i | \(-0.486230\pi\) |
0.576517 | + | 0.817085i | \(0.304411\pi\) | |||||||
\(224\) | −0.455922 | + | 3.17101i | −0.0304626 | + | 0.211872i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | −1.17109 | − | 8.14514i | −0.0779001 | − | 0.541807i | ||||
\(227\) | 11.1785 | − | 7.18400i | 0.741944 | − | 0.476819i | −0.114263 | − | 0.993450i | \(-0.536451\pi\) |
0.856208 | + | 0.516632i | \(0.172814\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | 10.3343 | 0.682912 | 0.341456 | − | 0.939898i | \(-0.389080\pi\) | ||||
0.341456 | + | 0.939898i | \(0.389080\pi\) | |||||||
\(230\) | 6.04711 | + | 3.70624i | 0.398735 | + | 0.244382i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | −4.81044 | + | 5.55155i | −0.315821 | + | 0.364477i | ||||
\(233\) | 0.186234 | − | 0.119685i | 0.0122006 | − | 0.00784085i | −0.534526 | − | 0.845152i | \(-0.679510\pi\) |
0.546727 | + | 0.837311i | \(0.315874\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 0.783050 | + | 1.71464i | 0.0510805 | + | 0.111851i | ||||
\(236\) | −0.762917 | + | 5.30620i | −0.0496617 | + | 0.345404i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −5.55056 | − | 3.56713i | −0.359790 | − | 0.231223i | ||||
\(239\) | −4.19290 | + | 9.18117i | −0.271216 | + | 0.593881i | −0.995409 | − | 0.0957174i | \(-0.969485\pi\) |
0.724192 | + | 0.689598i | \(0.242213\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | 1.63492 | + | 1.88680i | 0.105315 | + | 0.121540i | 0.805960 | − | 0.591970i | \(-0.201650\pi\) |
−0.700645 | + | 0.713510i | \(0.747104\pi\) | |||||||
\(242\) | −7.20147 | − | 8.31093i | −0.462928 | − | 0.534247i | ||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 5.06868 | − | 11.0989i | 0.324489 | − | 0.710532i | ||||
\(245\) | 4.05976 | + | 2.60905i | 0.259369 | + | 0.166686i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | −0.421587 | + | 2.93220i | −0.0268249 | + | 0.186572i | ||||
\(248\) | 3.30482 | + | 7.23654i | 0.209856 | + | 0.459521i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 9.72018 | − | 6.24678i | 0.614758 | − | 0.395081i | ||||
\(251\) | 9.41401 | − | 10.8643i | 0.594207 | − | 0.685752i | −0.376390 | − | 0.926461i | \(-0.622835\pi\) |
0.970597 | + | 0.240710i | \(0.0773802\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | 0.115282 | + | 0.238804i | 0.00724772 | + | 0.0150135i | ||||
\(254\) | −19.3524 | −1.21428 | ||||||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 0.841254 | − | 0.540641i | 0.0525783 | − | 0.0337901i | ||||
\(257\) | −2.43482 | − | 16.9346i | −0.151880 | − | 1.05635i | −0.913065 | − | 0.407814i | \(-0.866291\pi\) |
0.761185 | − | 0.648535i | \(-0.224618\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | −1.40796 | + | 9.79257i | −0.0874863 | + | 0.608480i | ||||
\(260\) | 1.14333 | − | 0.335712i | 0.0709064 | − | 0.0208200i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | −8.68332 | + | 19.0138i | −0.536457 | + | 1.17468i | ||||
\(263\) | −9.43152 | − | 2.76934i | −0.581573 | − | 0.170765i | −0.0223034 | − | 0.999751i | \(-0.507100\pi\) |
−0.559269 | + | 0.828986i | \(0.688918\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −10.6966 | − | 12.3445i | −0.657086 | − | 0.758318i | ||||
\(266\) | 11.3012 | + | 3.31834i | 0.692922 | + | 0.203460i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 3.80345 | + | 2.44433i | 0.232332 | + | 0.149311i | ||||
\(269\) | 25.9470 | − | 7.61874i | 1.58202 | − | 0.464523i | 0.631548 | − | 0.775337i | \(-0.282420\pi\) |
0.950471 | + | 0.310814i | \(0.100602\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | 5.82097 | + | 12.7462i | 0.353599 | + | 0.774274i | 0.999937 | + | 0.0112226i | \(0.00357233\pi\) |
−0.646338 | + | 0.763051i | \(0.723700\pi\) | |||||||
\(272\) | 0.293103 | + | 2.03857i | 0.0177720 | + | 0.123607i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | −3.86308 | + | 4.45824i | −0.233377 | + | 0.269332i | ||||
\(275\) | 0.155532 | 0.00937891 | ||||||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −6.65528 | −0.399877 | −0.199938 | − | 0.979808i | \(-0.564074\pi\) | ||||
−0.199938 | + | 0.979808i | \(0.564074\pi\) | |||||||
\(278\) | −2.64797 | + | 3.05592i | −0.158815 | + | 0.183282i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | −0.674259 | − | 4.68958i | −0.0402947 | − | 0.280256i | ||||
\(281\) | 6.11673 | + | 13.3938i | 0.364894 | + | 0.799006i | 0.999654 | + | 0.0262969i | \(0.00837151\pi\) |
−0.634760 | + | 0.772709i | \(0.718901\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 13.1361 | − | 3.85711i | 0.780861 | − | 0.229282i | 0.133077 | − | 0.991106i | \(-0.457514\pi\) |
0.647784 | + | 0.761824i | \(0.275696\pi\) | |||||||
\(284\) | 12.2847 | + | 7.89492i | 0.728965 | + | 0.468477i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 0.0427468 | + | 0.0125516i | 0.00252767 | + | 0.000742191i | ||||
\(287\) | 3.06241 | + | 3.53421i | 0.180768 | + | 0.208618i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 12.2415 | + | 3.59443i | 0.720089 | + | 0.211437i | ||||
\(290\) | 4.51289 | − | 9.88185i | 0.265006 | − | 0.580282i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | 9.46214 | − | 2.77833i | 0.553730 | − | 0.162590i | ||||
\(293\) | 4.21529 | − | 29.3180i | 0.246260 | − | 1.71278i | −0.373203 | − | 0.927750i | \(-0.621740\pi\) |
0.619463 | − | 0.785026i | \(-0.287350\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | −1.12827 | − | 7.84730i | −0.0656905 | − | 0.456887i | ||||
\(296\) | 2.59792 | − | 1.66958i | 0.151001 | − | 0.0970425i | ||||
\(297\) | 0 | 0 | ||||||||
\(298\) | −8.21355 | −0.475798 | ||||||||
\(299\) | 3.29462 | + | 2.01926i | 0.190533 | + | 0.116777i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −26.2917 | + | 30.3422i | −1.51543 | + | 1.74890i | ||||
\(302\) | 10.8093 | − | 6.94672i | 0.622006 | − | 0.399739i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | −1.52730 | − | 3.34433i | −0.0875969 | − | 0.191810i | ||||
\(305\) | −2.56803 | + | 17.8610i | −0.147045 | + | 1.02272i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | 7.67787 | + | 4.93427i | 0.438199 | + | 0.281613i | 0.741082 | − | 0.671414i | \(-0.234313\pi\) |
−0.302883 | + | 0.953028i | \(0.597949\pi\) | |||||||
\(308\) | 0.0735851 | − | 0.161129i | 0.00419290 | − | 0.00918118i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | −7.70461 | − | 8.89160i | −0.437593 | − | 0.505009i | ||||
\(311\) | 15.0457 | + | 17.3636i | 0.853162 | + | 0.984602i | 0.999990 | − | 0.00456050i | \(-0.00145166\pi\) |
−0.146827 | + | 0.989162i | \(0.546906\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | 8.20118 | − | 17.9581i | 0.463558 | − | 1.01505i | −0.523104 | − | 0.852269i | \(-0.675226\pi\) |
0.986662 | − | 0.162782i | \(-0.0520466\pi\) | |||||||
\(314\) | −3.29670 | − | 2.11866i | −0.186043 | − | 0.119563i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −0.515155 | + | 3.58298i | −0.0289797 | + | 0.201558i | ||||
\(317\) | 8.65385 | + | 18.9493i | 0.486049 | + | 1.06430i | 0.980756 | + | 0.195238i | \(0.0625480\pi\) |
−0.494707 | + | 0.869060i | \(0.664725\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | 0.341689 | − | 0.219590i | 0.0191309 | − | 0.0122947i | ||||
\(320\) | −0.968468 | + | 1.11767i | −0.0541390 | + | 0.0624797i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | 9.81109 | − | 11.8235i | 0.546750 | − | 0.658898i | ||||
\(323\) | 7.57204 | 0.421320 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | 1.90665 | − | 1.22533i | 0.105762 | − | 0.0679692i | ||||
\(326\) | 2.23785 | + | 15.5646i | 0.123943 | + | 0.862044i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | 0.207742 | − | 1.44488i | 0.0114706 | − | 0.0797799i | ||||
\(329\) | 3.91790 | − | 1.15040i | 0.216001 | − | 0.0634235i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −6.45836 | + | 14.1418i | −0.354983 | + | 0.777305i | 0.644931 | + | 0.764241i | \(0.276886\pi\) |
−0.999915 | + | 0.0130646i | \(0.995841\pi\) | |||||||
\(332\) | −9.62781 | − | 2.82698i | −0.528395 | − | 0.155151i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | 2.63231 | + | 3.03785i | 0.144034 | + | 0.166224i | ||||
\(335\) | −6.41547 | − | 1.88375i | −0.350514 | − | 0.102920i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | 5.95413 | + | 3.82649i | 0.324342 | + | 0.208442i | 0.692671 | − | 0.721253i | \(-0.256434\pi\) |
−0.368329 | + | 0.929695i | \(0.620070\pi\) | |||||||
\(338\) | −11.8505 | + | 3.47962i | −0.644582 | + | 0.189266i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | −1.26528 | − | 2.77059i | −0.0686197 | − | 0.150256i | ||||
\(341\) | −0.0626013 | − | 0.435401i | −0.00339005 | − | 0.0235783i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | −7.83961 | + | 9.04740i | −0.423299 | + | 0.488513i | ||||
\(344\) | 12.5322 | 0.675693 | ||||||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 5.25447 | 0.282482 | ||||||||
\(347\) | −16.6438 | + | 19.2080i | −0.893486 | + | 1.03114i | 0.105839 | + | 0.994383i | \(0.466247\pi\) |
−0.999324 | + | 0.0367541i | \(0.988298\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | 3.29197 | + | 22.8962i | 0.176215 | + | 1.22560i | 0.865423 | + | 0.501041i | \(0.167049\pi\) |
−0.689208 | + | 0.724563i | \(0.742041\pi\) | |||||||
\(350\) | −3.74347 | − | 8.19705i | −0.200097 | − | 0.438151i | ||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −0.0530529 | + | 0.0155777i | −0.00282773 | + | 0.000830297i | ||||
\(353\) | −20.2471 | − | 13.0120i | −1.07765 | − | 0.692561i | −0.123634 | − | 0.992328i | \(-0.539455\pi\) |
−0.954013 | + | 0.299767i | \(0.903091\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | −20.7213 | − | 6.08432i | −1.09977 | − | 0.322922i | ||||
\(356\) | −5.40423 | − | 6.23681i | −0.286424 | − | 0.330550i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | 2.02732 | + | 0.595274i | 0.107147 | + | 0.0314612i | ||||
\(359\) | −7.96450 | + | 17.4398i | −0.420350 | + | 0.920438i | 0.574445 | + | 0.818543i | \(0.305218\pi\) |
−0.994795 | + | 0.101895i | \(0.967509\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | 5.26072 | − | 1.54469i | 0.276880 | − | 0.0812992i | ||||
\(362\) | −0.0328576 | + | 0.228530i | −0.00172696 | + | 0.0120113i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | −0.367354 | − | 2.55500i | −0.0192546 | − | 0.133918i | ||||
\(365\) | −12.2690 | + | 7.88483i | −0.642191 | + | 0.412711i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −26.2686 | −1.37121 | −0.685606 | − | 0.727973i | \(-0.740463\pi\) | ||||
−0.685606 | + | 0.727973i | \(0.740463\pi\) | |||||||
\(368\) | −4.79474 | + | 0.102391i | −0.249943 | + | 0.00533748i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −2.99078 | + | 3.45154i | −0.155483 | + | 0.179437i | ||||
\(371\) | −29.7665 | + | 19.1298i | −1.54540 | + | 0.993167i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | 8.47650 | + | 18.5609i | 0.438896 | + | 0.961049i | 0.991800 | + | 0.127803i | \(0.0407927\pi\) |
−0.552903 | + | 0.833246i | \(0.686480\pi\) | |||||||
\(374\) | 0.0162064 | − | 0.112718i | 0.000838015 | − | 0.00582852i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | −1.07225 | − | 0.689096i | −0.0552973 | − | 0.0355374i | ||||
\(377\) | 2.45874 | − | 5.38389i | 0.126631 | − | 0.277284i | ||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −2.61309 | − | 3.01566i | −0.134225 | − | 0.154904i | 0.684658 | − | 0.728865i | \(-0.259952\pi\) |
−0.818883 | + | 0.573961i | \(0.805406\pi\) | |||||||
\(380\) | 3.56064 | + | 4.10920i | 0.182657 | + | 0.210798i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | 1.82915 | − | 4.00527i | 0.0935873 | − | 0.204928i | ||||
\(383\) | −5.31857 | − | 3.41804i | −0.271766 | − | 0.174654i | 0.397658 | − | 0.917534i | \(-0.369823\pi\) |
−0.669425 | + | 0.742880i | \(0.733459\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | −0.0372816 | + | 0.259299i | −0.00190005 | + | 0.0132151i | ||||
\(386\) | −8.93029 | − | 19.5546i | −0.454540 | − | 0.995304i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 5.90239 | − | 3.79324i | 0.299648 | − | 0.192572i | ||||
\(389\) | −16.6443 | + | 19.2085i | −0.843900 | + | 0.973912i | −0.999904 | − | 0.0138443i | \(-0.995593\pi\) |
0.156005 | + | 0.987756i | \(0.450139\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | 3.91038 | − | 9.07017i | 0.197756 | − | 0.458698i | ||||
\(392\) | −3.26315 | −0.164814 | ||||||||
\(393\) | 0 | 0 | ||||||||
\(394\) | 7.48050 | − | 4.80743i | 0.376862 | − | 0.242195i | ||||
\(395\) | −0.761858 | − | 5.29884i | −0.0383333 | − | 0.266614i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 0.488864 | − | 3.40012i | 0.0245354 | − | 0.170647i | −0.973869 | − | 0.227109i | \(-0.927073\pi\) |
0.998405 | + | 0.0564614i | \(0.0179818\pi\) | |||||||
\(398\) | 17.4196 | − | 5.11486i | 0.873167 | − | 0.256385i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | −1.16851 | + | 2.55869i | −0.0584256 | + | 0.127934i | ||||
\(401\) | −8.01654 | − | 2.35387i | −0.400327 | − | 0.117547i | 0.0753705 | − | 0.997156i | \(-0.475986\pi\) |
−0.475697 | + | 0.879609i | \(0.657804\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −4.19767 | − | 4.84437i | −0.209101 | − | 0.241315i | ||||
\(404\) | 14.7289 | + | 4.32479i | 0.732789 | + | 0.215166i | ||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −19.7972 | − | 12.7229i | −0.982518 | − | 0.631426i | ||||
\(407\) | −0.163836 | + | 0.0481065i | −0.00812103 | + | 0.00238455i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −1.73917 | − | 3.80824i | −0.0859962 | − | 0.188305i | 0.861748 | − | 0.507336i | \(-0.169370\pi\) |
−0.947744 | + | 0.319031i | \(0.896643\pi\) | |||||||
\(410\) | 0.307227 | + | 2.13681i | 0.0151729 | + | 0.105530i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | −10.0337 | + | 11.5795i | −0.494324 | + | 0.570480i | ||||
\(413\) | −17.1738 | −0.845070 | ||||||||
\(414\) | 0 | 0 | ||||||||
\(415\) | 14.8396 | 0.728447 | ||||||||
\(416\) | −0.527646 | + | 0.608936i | −0.0258700 | + | 0.0298556i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | 0.0289308 | + | 0.201218i | 0.00141505 | + | 0.00984191i | ||||
\(419\) | −3.73254 | − | 8.17311i | −0.182346 | − | 0.399283i | 0.796280 | − | 0.604928i | \(-0.206798\pi\) |
−0.978627 | + | 0.205645i | \(0.934071\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 6.48508 | − | 1.90419i | 0.316063 | − | 0.0928046i | −0.119853 | − | 0.992792i | \(-0.538242\pi\) |
0.435917 | + | 0.899987i | \(0.356424\pi\) | |||||||
\(422\) | −14.4729 | − | 9.30119i | −0.704532 | − | 0.452775i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 10.5975 | + | 3.11170i | 0.514658 | + | 0.151117i | ||||
\(425\) | −3.79376 | − | 4.37823i | −0.184024 | − | 0.212375i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | 37.5055 | + | 11.0126i | 1.81502 | + | 0.532938i | ||||
\(428\) | 4.01932 | − | 8.80107i | 0.194281 | − | 0.425416i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | −17.7831 | + | 5.22158i | −0.857576 | + | 0.251807i | ||||
\(431\) | −3.22681 | + | 22.4430i | −0.155430 | + | 1.08104i | 0.751492 | + | 0.659742i | \(0.229334\pi\) |
−0.906922 | + | 0.421298i | \(0.861575\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | −4.26292 | − | 29.6492i | −0.204863 | − | 1.42485i | −0.789596 | − | 0.613627i | \(-0.789710\pi\) |
0.584734 | − | 0.811225i | \(-0.301199\pi\) | |||||||
\(434\) | −21.4404 | + | 13.7789i | −1.02917 | + | 0.661409i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | −13.4002 | −0.641752 | ||||||||
\(437\) | −2.13614 | + | 17.5024i | −0.102185 | + | 0.837251i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0.983215 | − | 1.13469i | 0.0469263 | − | 0.0541559i | −0.731801 | − | 0.681518i | \(-0.761320\pi\) |
0.778727 | + | 0.627362i | \(0.215865\pi\) | |||||||
\(440\) | 0.0687909 | − | 0.0442092i | 0.00327948 | − | 0.00210759i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −0.689360 | − | 1.50949i | −0.0327895 | − | 0.0717990i | ||||
\(443\) | −0.838999 | + | 5.83536i | −0.0398620 | + | 0.277246i | −0.999997 | − | 0.00228902i | \(-0.999271\pi\) |
0.960135 | + | 0.279536i | \(0.0901805\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | 10.2671 | + | 6.59827i | 0.486707 | + | 0.312788i | ||||
\(446\) | 4.00700 | − | 8.77411i | 0.189737 | − | 0.415466i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | 2.09792 | + | 2.42113i | 0.0991175 | + | 0.114388i | ||||
\(449\) | −24.1373 | − | 27.8559i | −1.13911 | − | 1.31460i | −0.942533 | − | 0.334114i | \(-0.891563\pi\) |
−0.196577 | − | 0.980488i | \(-0.562983\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −0.0335292 | + | 0.0734187i | −0.00157883 | + | 0.00345715i | ||||
\(452\) | −6.92259 | − | 4.44888i | −0.325611 | − | 0.209258i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 1.89107 | − | 13.1527i | 0.0887523 | − | 0.617286i | ||||
\(455\) | 1.58582 | + | 3.47245i | 0.0743442 | + | 0.162791i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | −4.87731 | + | 3.13445i | −0.228151 | + | 0.146624i | −0.649723 | − | 0.760171i | \(-0.725115\pi\) |
0.421572 | + | 0.906795i | \(0.361479\pi\) | |||||||
\(458\) | 6.76755 | − | 7.81017i | 0.316227 | − | 0.364945i | ||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 6.76101 | − | 2.14303i | 0.315233 | − | 0.0999192i | ||||
\(461\) | 19.1277 | 0.890864 | 0.445432 | − | 0.895316i | \(-0.353050\pi\) | ||||
0.445432 | + | 0.895316i | \(0.353050\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | −17.1083 | + | 10.9948i | −0.795091 | + | 0.510974i | −0.874010 | − | 0.485907i | \(-0.838489\pi\) |
0.0789197 | + | 0.996881i | \(0.474853\pi\) | |||||||
\(464\) | 1.04541 | + | 7.27098i | 0.0485319 | + | 0.337547i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 0.0315052 | − | 0.219124i | 0.00145945 | − | 0.0101507i | ||||
\(467\) | 26.0471 | − | 7.64812i | 1.20532 | − | 0.353913i | 0.383433 | − | 0.923569i | \(-0.374742\pi\) |
0.821883 | + | 0.569656i | \(0.192924\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −6.01690 | + | 13.1752i | −0.277835 | + | 0.608373i | ||||
\(470\) | 1.80863 | + | 0.531061i | 0.0834257 | + | 0.0244960i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | 3.51056 | + | 4.05140i | 0.161586 | + | 0.186481i | ||||
\(473\) | −0.664872 | − | 0.195224i | −0.0305708 | − | 0.00897641i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 8.70004 | + | 5.59118i | 0.399185 | + | 0.256541i | ||||
\(476\) | −6.33070 | + | 1.85886i | −0.290167 | + | 0.0852008i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | 4.19290 | + | 9.18117i | 0.191779 | + | 0.419937i | ||||
\(479\) | −0.531346 | − | 3.69559i | −0.0242778 | − | 0.168856i | 0.974075 | − | 0.226224i | \(-0.0726382\pi\) |
−0.998353 | + | 0.0573682i | \(0.981729\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | −1.62945 | + | 1.88049i | −0.0742967 | + | 0.0857430i | ||||
\(482\) | 2.49660 | 0.113717 | ||||||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −10.9969 | −0.499861 | ||||||||
\(485\) | −6.79495 | + | 7.84179i | −0.308543 | + | 0.356077i | ||||
\(486\) | 0 | 0 | ||||||||
\(487\) | −3.28140 | − | 22.8226i | −0.148694 | − | 1.03419i | −0.918360 | − | 0.395745i | \(-0.870486\pi\) |
0.769666 | − | 0.638446i | \(-0.220423\pi\) | |||||||
\(488\) | −5.06868 | − | 11.0989i | −0.229448 | − | 0.502422i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 4.63037 | − | 1.35960i | 0.209179 | − | 0.0614204i | ||||
\(491\) | 0.944131 | + | 0.606756i | 0.0426080 | + | 0.0273825i | 0.561771 | − | 0.827292i | \(-0.310120\pi\) |
−0.519163 | + | 0.854675i | \(0.673756\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −14.5160 | − | 4.26229i | −0.653769 | − | 0.191964i | ||||
\(494\) | 1.93993 | + | 2.23880i | 0.0872816 | + | 0.100728i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 7.63321 | + | 2.24131i | 0.342741 | + | 0.100638i | ||||
\(497\) | −19.4340 | + | 42.5545i | −0.871733 | + | 1.90883i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | −38.0512 | + | 11.1728i | −1.70340 | + | 0.500165i | −0.981441 | − | 0.191766i | \(-0.938579\pi\) |
−0.721964 | + | 0.691931i | \(0.756760\pi\) | |||||||
\(500\) | 1.64436 | − | 11.4368i | 0.0735381 | − | 0.511469i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −2.04586 | − | 14.2293i | −0.0913112 | − | 0.635083i | ||||
\(503\) | 28.6350 | − | 18.4026i | 1.27677 | − | 0.820530i | 0.286284 | − | 0.958145i | \(-0.407580\pi\) |
0.990486 | + | 0.137614i | \(0.0439434\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | −22.7020 | −1.01023 | ||||||||
\(506\) | 0.255970 | + | 0.0692591i | 0.0113792 | + | 0.00307894i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −12.6731 | + | 14.6256i | −0.562279 | + | 0.648905i | ||||
\(509\) | −0.791310 | + | 0.508544i | −0.0350742 | + | 0.0225408i | −0.558060 | − | 0.829800i | \(-0.688454\pi\) |
0.522986 | + | 0.852341i | \(0.324818\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 13.1241 | + | 28.7378i | 0.580577 | + | 1.27129i | ||||
\(512\) | 0.142315 | − | 0.989821i | 0.00628949 | − | 0.0437443i | ||||
\(513\) | 0 | 0 | ||||||||
\(514\) | −14.3928 | − | 9.24967i | −0.634838 | − | 0.407985i | ||||
\(515\) | 9.41304 | − | 20.6117i | 0.414788 | − | 0.908259i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | 0.0461516 | + | 0.0532618i | 0.00202975 | + | 0.00234245i | ||||
\(518\) | 6.47871 | + | 7.47683i | 0.284658 | + | 0.328513i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | 0.495008 | − | 1.08392i | 0.0217075 | − | 0.0475329i | ||||
\(521\) | 33.9920 | + | 21.8454i | 1.48922 | + | 0.957062i | 0.996205 | + | 0.0870408i | \(0.0277410\pi\) |
0.493014 | + | 0.870022i | \(0.335895\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 2.00533 | − | 13.9473i | 0.0876868 | − | 0.609875i | −0.897836 | − | 0.440330i | \(-0.854861\pi\) |
0.985523 | − | 0.169544i | \(-0.0542296\pi\) | |||||||
\(524\) | 8.68332 | + | 19.0138i | 0.379333 | + | 0.830623i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | −8.26927 | + | 5.31433i | −0.360557 | + | 0.231716i | ||||
\(527\) | −10.7296 | + | 12.3826i | −0.467389 | + | 0.539396i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 19.8620 | + | 11.5974i | 0.863567 | + | 0.504235i | ||||
\(530\) | −16.3341 | −0.709510 | ||||||||
\(531\) | 0 | 0 | ||||||||
\(532\) | 9.90856 | − | 6.36784i | 0.429591 | − | 0.276081i | ||||
\(533\) | 0.167385 | + | 1.16419i | 0.00725027 | + | 0.0504267i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −2.03637 | + | 14.1633i | −0.0880399 | + | 0.612331i | ||||
\(536\) | 4.33803 | − | 1.27376i | 0.187374 | − | 0.0550180i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | 11.2338 | − | 24.5987i | 0.484325 | − | 1.06052i | ||||
\(539\) | 0.173120 | + | 0.0508326i | 0.00745680 | + | 0.00218951i | ||||
\(540\) | 0 | 0 | ||||||||
\(541\) | 20.9730 | + | 24.2042i | 0.901701 | + | 1.04062i | 0.998971 | + | 0.0453605i | \(0.0144437\pi\) |
−0.0972695 | + | 0.995258i | \(0.531011\pi\) | |||||||
\(542\) | 13.4448 | + | 3.94776i | 0.577505 | + | 0.169571i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 1.73259 | + | 1.11347i | 0.0742843 | + | 0.0477396i | ||||
\(545\) | 19.0147 | − | 5.58321i | 0.814499 | − | 0.239158i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −14.2184 | − | 31.1339i | −0.607934 | − | 1.33119i | −0.923978 | − | 0.382445i | \(-0.875082\pi\) |
0.316045 | − | 0.948744i | \(-0.397645\pi\) | |||||||
\(548\) | 0.839528 | + | 5.83905i | 0.0358629 | + | 0.249432i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | 0.101852 | − | 0.117543i | 0.00434297 | − | 0.00501205i | ||||
\(551\) | 27.0072 | 1.15054 | ||||||||
\(552\) | 0 | 0 | ||||||||
\(553\) | −11.5965 | −0.493135 | ||||||||
\(554\) | −4.35828 | + | 5.02972i | −0.185166 | + | 0.213692i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | 0.575459 | + | 4.00241i | 0.0244049 | + | 0.169740i | ||||
\(557\) | 4.69734 | + | 10.2857i | 0.199033 | + | 0.435820i | 0.982661 | − | 0.185409i | \(-0.0593609\pi\) |
−0.783629 | + | 0.621229i | \(0.786634\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | −9.68868 | + | 2.84485i | −0.409787 | + | 0.120324i | ||||
\(560\) | −3.98569 | − | 2.56145i | −0.168426 | − | 0.108241i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | 14.1280 | + | 4.14834i | 0.595952 | + | 0.174987i | ||||
\(563\) | 11.3275 | + | 13.0726i | 0.477397 | + | 0.550946i | 0.942454 | − | 0.334335i | \(-0.108512\pi\) |
−0.465057 | + | 0.885281i | \(0.653966\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 11.6767 | + | 3.42859i | 0.491242 | + | 0.144242i | ||||
\(566\) | 5.68732 | − | 12.4535i | 0.239056 | − | 0.523459i | ||||
\(567\) | 0 | 0 | ||||||||
\(568\) | 14.0114 | − | 4.11411i | 0.587904 | − | 0.172624i | ||||
\(569\) | 4.13566 | − | 28.7642i | 0.173376 | − | 1.20586i | −0.698311 | − | 0.715794i | \(-0.746065\pi\) |
0.871687 | − | 0.490063i | \(-0.163026\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | −0.447773 | − | 3.11433i | −0.0187387 | − | 0.130331i | 0.978305 | − | 0.207171i | \(-0.0664258\pi\) |
−0.997043 | + | 0.0768408i | \(0.975517\pi\) | |||||||
\(572\) | 0.0374790 | − | 0.0240863i | 0.00156708 | − | 0.00100710i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | 4.67642 | 0.195190 | ||||||||
\(575\) | 11.1903 | − | 7.53393i | 0.466668 | − | 0.314186i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | −7.10693 | + | 8.20184i | −0.295866 | + | 0.341447i | −0.884147 | − | 0.467209i | \(-0.845259\pi\) |
0.588281 | + | 0.808656i | \(0.299805\pi\) | |||||||
\(578\) | 10.7330 | − | 6.89766i | 0.446433 | − | 0.286905i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | −4.51289 | − | 9.88185i | −0.187387 | − | 0.410321i | ||||
\(581\) | 4.57484 | − | 31.8187i | 0.189796 | − | 1.32006i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −0.513753 | − | 0.330169i | −0.0212775 | − | 0.0136742i | ||||
\(584\) | 4.09666 | − | 8.97043i | 0.169521 | − | 0.371199i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −19.3966 | − | 22.3849i | −0.801268 | − | 0.924712i | ||||
\(587\) | −21.1402 | − | 24.3971i | −0.872549 | − | 1.00698i | −0.999886 | − | 0.0151162i | \(-0.995188\pi\) |
0.127336 | − | 0.991860i | \(-0.459357\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 12.1504 | − | 26.6057i | 0.500649 | − | 1.09627i | ||||
\(590\) | −6.66945 | − | 4.28620i | −0.274577 | − | 0.176460i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | 0.439490 | − | 3.05672i | 0.0180629 | − | 0.125631i | ||||
\(593\) | −14.5904 | − | 31.9486i | −0.599157 | − | 1.31197i | −0.929748 | − | 0.368196i | \(-0.879975\pi\) |
0.330591 | − | 0.943774i | \(-0.392752\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | 8.20868 | − | 5.27540i | 0.336523 | − | 0.216270i | ||||
\(596\) | −5.37873 | + | 6.20739i | −0.220321 | + | 0.254264i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | 3.68357 | − | 1.16758i | 0.150632 | − | 0.0477458i | ||||
\(599\) | 33.0831 | 1.35174 | 0.675870 | − | 0.737021i | \(-0.263768\pi\) | ||||
0.675870 | + | 0.737021i | \(0.263768\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | −34.4280 | + | 22.1256i | −1.40435 | + | 0.902521i | −0.999927 | − | 0.0120520i | \(-0.996164\pi\) |
−0.404422 | + | 0.914573i | \(0.632527\pi\) | |||||||
\(602\) | 5.71372 | + | 39.7398i | 0.232874 | + | 1.61967i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | 1.82861 | − | 12.7183i | 0.0744051 | − | 0.517499i | ||||
\(605\) | 15.6045 | − | 4.58190i | 0.634413 | − | 0.186281i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 0.360269 | − | 0.788879i | 0.0146229 | − | 0.0320196i | −0.902180 | − | 0.431360i | \(-0.858034\pi\) |
0.916803 | + | 0.399341i | \(0.130761\pi\) | |||||||
\(608\) | −3.52765 | − | 1.03581i | −0.143065 | − | 0.0420077i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 11.8168 | + | 13.6373i | 0.478446 | + | 0.552157i | ||||
\(611\) | 0.985386 | + | 0.289336i | 0.0398645 | + | 0.0117053i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 11.4396 | + | 7.35175i | 0.462039 | + | 0.296935i | 0.750875 | − | 0.660444i | \(-0.229632\pi\) |
−0.288836 | + | 0.957379i | \(0.593268\pi\) | |||||||
\(614\) | 8.75700 | − | 2.57129i | 0.353404 | − | 0.103769i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | −0.0735851 | − | 0.161129i | −0.00296483 | − | 0.00649207i | ||||
\(617\) | −6.07169 | − | 42.2295i | −0.244437 | − | 1.70010i | −0.629332 | − | 0.777137i | \(-0.716671\pi\) |
0.384895 | − | 0.922960i | \(-0.374238\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 20.6446 | − | 23.8251i | 0.829775 | − | 0.957612i | −0.169837 | − | 0.985472i | \(-0.554324\pi\) |
0.999612 | + | 0.0278606i | \(0.00886945\pi\) | |||||||
\(620\) | −11.7653 | −0.472505 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 22.9754 | 0.921229 | ||||||||
\(623\) | 17.3131 | − | 19.9803i | 0.693633 | − | 0.800496i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | 0.430261 | + | 2.99253i | 0.0172104 | + | 0.119701i | ||||
\(626\) | −8.20118 | − | 17.9581i | −0.327785 | − | 0.717749i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −3.76005 | + | 1.10405i | −0.150042 | + | 0.0440564i | ||||
\(629\) | 5.35052 | + | 3.43857i | 0.213339 | + | 0.137105i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 46.7584 | + | 13.7295i | 1.86142 | + | 0.546563i | 0.999198 | + | 0.0400350i | \(0.0127469\pi\) |
0.862224 | + | 0.506528i | \(0.169071\pi\) | |||||||
\(632\) | 2.37048 | + | 2.73568i | 0.0942927 | + | 0.108820i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | 19.9880 | + | 5.86900i | 0.793824 | + | 0.233088i | ||||
\(635\) | 11.8892 | − | 26.0338i | 0.471809 | − | 1.03312i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 2.52274 | − | 0.740745i | 0.0999548 | − | 0.0293494i | ||||
\(638\) | 0.0578035 | − | 0.402032i | 0.00228846 | − | 0.0159166i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 0.210468 | + | 1.46384i | 0.00831949 | + | 0.0578633i | ||||
\(641\) | −25.3919 | + | 16.3184i | −1.00292 | + | 0.644537i | −0.935551 | − | 0.353191i | \(-0.885097\pi\) |
−0.0673684 | + | 0.997728i | \(0.521460\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 34.4723 | 1.35946 | 0.679728 | − | 0.733464i | \(-0.262098\pi\) | ||||
0.679728 | + | 0.733464i | \(0.262098\pi\) | |||||||
\(644\) | −2.51071 | − | 15.1575i | −0.0989358 | − | 0.597288i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 4.95863 | − | 5.72257i | 0.195095 | − | 0.225151i | ||||
\(647\) | −11.7496 | + | 7.55102i | −0.461925 | + | 0.296861i | −0.750829 | − | 0.660497i | \(-0.770346\pi\) |
0.288903 | + | 0.957358i | \(0.406709\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | −0.123134 | − | 0.269625i | −0.00483342 | − | 0.0105837i | ||||
\(650\) | 0.322549 | − | 2.24338i | 0.0126514 | − | 0.0879924i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 13.2284 | + | 8.50140i | 0.518065 | + | 0.332940i | ||||
\(653\) | −15.3401 | + | 33.5902i | −0.600306 | + | 1.31449i | 0.328705 | + | 0.944433i | \(0.393388\pi\) |
−0.929011 | + | 0.370053i | \(0.879339\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | −20.2437 | − | 23.3624i | −0.790985 | − | 0.912845i | ||||
\(656\) | −0.955922 | − | 1.10319i | −0.0373225 | − | 0.0430724i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | 1.69626 | − | 3.71430i | 0.0661272 | − | 0.144798i | ||||
\(659\) | 9.28343 | + | 5.96610i | 0.361631 | + | 0.232406i | 0.708821 | − | 0.705389i | \(-0.249228\pi\) |
−0.347189 | + | 0.937795i | \(0.612864\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −4.83516 | + | 33.6292i | −0.188066 | + | 1.30803i | 0.648943 | + | 0.760837i | \(0.275211\pi\) |
−0.837009 | + | 0.547189i | \(0.815698\pi\) | |||||||
\(662\) | 6.45836 | + | 14.1418i | 0.251011 | + | 0.549638i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | −8.44136 | + | 5.42493i | −0.327588 | + | 0.210528i | ||||
\(665\) | −11.4069 | + | 13.1643i | −0.442342 | + | 0.510490i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | 13.9471 | − | 32.3505i | 0.540036 | − | 1.25262i | ||||
\(668\) | 4.01965 | 0.155525 | ||||||||
\(669\) | 0 | 0 | ||||||||
\(670\) | −5.62488 | + | 3.61489i | −0.217308 | + | 0.139655i | ||||
\(671\) | 0.0960131 | + | 0.667786i | 0.00370655 | + | 0.0257796i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 4.46767 | − | 31.0733i | 0.172216 | − | 1.19779i | −0.701974 | − | 0.712203i | \(-0.747698\pi\) |
0.874190 | − | 0.485585i | \(-0.161393\pi\) | |||||||
\(674\) | 6.79099 | − | 1.99402i | 0.261579 | − | 0.0768066i | ||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −5.13070 | + | 11.2347i | −0.197335 | + | 0.432103i | ||||
\(677\) | −37.7447 | − | 11.0828i | −1.45065 | − | 0.425948i | −0.540891 | − | 0.841093i | \(-0.681913\pi\) |
−0.909756 | + | 0.415144i | \(0.863731\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | 14.7194 | + | 16.9871i | 0.564879 | + | 0.651905i | ||||
\(680\) | −2.92245 | − | 0.858110i | −0.112071 | − | 0.0329070i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | −0.370050 | − | 0.237816i | −0.0141699 | − | 0.00910646i | ||||
\(683\) | 30.3414 | − | 8.90905i | 1.16098 | − | 0.340895i | 0.356168 | − | 0.934422i | \(-0.384083\pi\) |
0.804814 | + | 0.593527i | \(0.202265\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | −3.62413 | − | 7.93574i | −0.138471 | − | 0.303209i | ||||
\(686\) | 1.70371 | + | 11.8496i | 0.0650480 | + | 0.452419i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | 8.20687 | − | 9.47123i | 0.312884 | − | 0.361087i | ||||
\(689\) | −8.89927 | −0.339035 | ||||||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 22.2620 | 0.846886 | 0.423443 | − | 0.905923i | \(-0.360821\pi\) | ||||
0.423443 | + | 0.905923i | \(0.360821\pi\) | |||||||
\(692\) | 3.44095 | − | 3.97106i | 0.130805 | − | 0.150957i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 3.61704 | + | 25.1571i | 0.137301 | + | 0.954950i | ||||
\(695\) | −2.48418 | − | 5.43959i | −0.0942303 | − | 0.206336i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 2.88460 | − | 0.846994i | 0.109262 | − | 0.0320822i | ||||
\(698\) | 19.4596 | + | 12.5059i | 0.736555 | + | 0.473355i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −8.64636 | − | 2.53880i | −0.326802 | − | 0.0959577i | ||||
\(701\) | 9.06733 | + | 10.4643i | 0.342468 | + | 0.395230i | 0.900690 | − | 0.434462i | \(-0.143062\pi\) |
−0.558222 | + | 0.829692i | \(0.688516\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −10.8939 | − | 3.19874i | −0.410872 | − | 0.120643i | ||||
\(704\) | −0.0229694 | + | 0.0502960i | −0.000865692 | + | 0.00189560i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −23.0929 | + | 6.78069i | −0.869113 | + | 0.255195i | ||||
\(707\) | −6.99871 | + | 48.6771i | −0.263214 | + | 1.83069i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | −6.98803 | − | 48.6028i | −0.262441 | − | 1.82532i | −0.514367 | − | 0.857570i | \(-0.671973\pi\) |
0.251926 | − | 0.967746i | \(-0.418936\pi\) | |||||||
\(710\) | −18.1678 | + | 11.6757i | −0.681825 | + | 0.438182i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −8.25248 | −0.309275 | ||||||||
\(713\) | −25.5949 | − | 28.2942i | −0.958535 | − | 1.05962i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | −0.0431466 | + | 0.0497938i | −0.00161359 | + | 0.00186218i | ||||
\(716\) | 1.77749 | − | 1.14232i | 0.0664278 | − | 0.0426906i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 7.96450 | + | 17.4398i | 0.297232 | + | 0.650848i | ||||
\(719\) | 5.20770 | − | 36.2204i | 0.194214 | − | 1.35079i | −0.626486 | − | 0.779433i | \(-0.715507\pi\) |
0.820701 | − | 0.571359i | \(-0.193583\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −41.2932 | − | 26.5375i | −1.53784 | − | 0.988310i | ||||
\(722\) | 2.27764 | − | 4.98734i | 0.0847650 | − | 0.185609i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | 0.151194 | + | 0.174487i | 0.00561908 | + | 0.00648477i | ||||
\(725\) | −13.5312 | − | 15.6158i | −0.502536 | − | 0.579958i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | 7.73116 | − | 16.9289i | 0.286733 | − | 0.627857i | −0.710378 | − | 0.703821i | \(-0.751476\pi\) |
0.997111 | + | 0.0759632i | \(0.0242032\pi\) | |||||||
\(728\) | −2.17151 | − | 1.39554i | −0.0804814 | − | 0.0517223i | ||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −2.07555 | + | 14.4358i | −0.0768197 | + | 0.534293i | ||||
\(731\) | 10.7221 | + | 23.4782i | 0.396572 | + | 0.868371i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −19.0255 | + | 12.2269i | −0.702722 | + | 0.451612i | −0.842588 | − | 0.538558i | \(-0.818969\pi\) |
0.139866 | + | 0.990170i | \(0.455333\pi\) | |||||||
\(734\) | −17.2023 | + | 19.8525i | −0.634948 | + | 0.732769i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −3.06250 | + | 3.69067i | −0.112885 | + | 0.136040i | ||||
\(737\) | −0.249987 | −0.00920840 | ||||||||
\(738\) | 0 | 0 | ||||||||
\(739\) | −15.0475 | + | 9.67041i | −0.553530 | + | 0.355732i | −0.787310 | − | 0.616558i | \(-0.788527\pi\) |
0.233780 | + | 0.972289i | \(0.424890\pi\) | |||||||
\(740\) | 0.649959 | + | 4.52056i | 0.0238930 | + | 0.166179i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −5.03559 | + | 35.0233i | −0.184862 | + | 1.28575i | ||||
\(743\) | −21.5290 | + | 6.32150i | −0.789824 | + | 0.231913i | −0.651675 | − | 0.758498i | \(-0.725933\pi\) |
−0.138149 | + | 0.990411i | \(0.544115\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 5.04602 | − | 11.0493i | 0.184872 | − | 0.404813i | ||||
\(746\) | 19.5783 | + | 5.74872i | 0.716814 | + | 0.210476i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | −0.0745738 | − | 0.0860627i | −0.00272669 | − | 0.00314677i | ||||
\(749\) | 29.7408 | + | 8.73267i | 1.08670 | + | 0.319085i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | 39.5260 | + | 25.4018i | 1.44232 | + | 0.926924i | 0.999541 | + | 0.0302948i | \(0.00964461\pi\) |
0.442781 | + | 0.896630i | \(0.353992\pi\) | |||||||
\(752\) | −1.22296 | + | 0.359094i | −0.0445968 | + | 0.0130948i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −2.45874 | − | 5.38389i | −0.0895420 | − | 0.196070i | ||||
\(755\) | 2.70432 | + | 18.8089i | 0.0984201 | + | 0.684527i | ||||
\(756\) | 0 | 0 | ||||||||
\(757\) | −18.8145 | + | 21.7131i | −0.683825 | + | 0.789176i | −0.986473 | − | 0.163926i | \(-0.947584\pi\) |
0.302647 | + | 0.953103i | \(0.402130\pi\) | |||||||
\(758\) | −3.99029 | −0.144934 | ||||||||
\(759\) | 0 | 0 | ||||||||
\(760\) | 5.43725 | 0.197230 | ||||||||
\(761\) | 10.2728 | − | 11.8554i | 0.372387 | − | 0.429758i | −0.538364 | − | 0.842712i | \(-0.680958\pi\) |
0.910752 | + | 0.412954i | \(0.135503\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | −6.10944 | − | 42.4921i | −0.221176 | − | 1.53832i | ||||
\(764\) | −1.82915 | − | 4.00527i | −0.0661762 | − | 0.144906i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −6.06611 | + | 1.78117i | −0.219177 | + | 0.0643563i | ||||
\(767\) | −3.63369 | − | 2.33523i | −0.131205 | − | 0.0843203i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 19.0114 | + | 5.58224i | 0.685567 | + | 0.201301i | 0.605924 | − | 0.795523i | \(-0.292804\pi\) |
0.0796432 | + | 0.996823i | \(0.474622\pi\) | |||||||
\(770\) | 0.171551 | + | 0.197980i | 0.00618227 | + | 0.00713472i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | −20.6265 | − | 6.05648i | −0.742364 | − | 0.217978i | ||||
\(773\) | −8.10693 | + | 17.7517i | −0.291586 | + | 0.638484i | −0.997565 | − | 0.0697490i | \(-0.977780\pi\) |
0.705979 | + | 0.708233i | \(0.250507\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −21.4713 | + | 6.30455i | −0.771272 | + | 0.226466i | ||||
\(776\) | 0.998507 | − | 6.94477i | 0.0358443 | − | 0.249303i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 3.61715 | + | 25.1578i | 0.129681 | + | 0.901952i | ||||
\(779\) | −4.51485 | + | 2.90152i | −0.161761 | + | 0.103958i | ||||
\(780\) | 0 | 0 | ||||||||
\(781\) | −0.807433 | −0.0288922 | ||||||||
\(782\) | −4.29402 | − | 8.89496i | −0.153554 | − | 0.318083i | ||||
\(783\) | 0 | 0 | ||||||||
\(784\) | −2.13691 | + | 2.46613i | −0.0763182 | + | 0.0880759i | ||||
\(785\) | 4.87546 | − | 3.13327i | 0.174013 | − | 0.111831i | ||||
\(786\) | 0 | 0 | ||||||||
\(787\) | 8.31294 | + | 18.2028i | 0.296324 | + | 0.648860i | 0.997971 | − | 0.0636650i | \(-0.0202789\pi\) |
−0.701647 | + | 0.712525i | \(0.747552\pi\) | |||||||
\(788\) | 1.26548 | − | 8.80158i | 0.0450807 | − | 0.313543i | ||||
\(789\) | 0 | 0 | ||||||||
\(790\) | −4.50351 | − | 2.89423i | −0.160228 | − | 0.102972i | ||||
\(791\) | 10.9513 | − | 23.9799i | 0.389382 | − | 0.852628i | ||||
\(792\) | 0 | 0 | ||||||||
\(793\) | 6.43807 | + | 7.42993i | 0.228623 | + | 0.263845i | ||||
\(794\) | −2.24950 | − | 2.59607i | −0.0798319 | − | 0.0921310i | ||||
\(795\) | 0 | 0 | ||||||||
\(796\) | 7.54187 | − | 16.5144i | 0.267315 | − | 0.585337i | ||||
\(797\) | 16.5992 | + | 10.6677i | 0.587975 | + | 0.377868i | 0.800541 | − | 0.599278i | \(-0.204546\pi\) |
−0.212566 | + | 0.977147i | \(0.568182\pi\) | |||||||
\(798\) | 0 | 0 | ||||||||
\(799\) | 0.373586 | − | 2.59835i | 0.0132165 | − | 0.0919229i | ||||
\(800\) | 1.16851 | + | 2.55869i | 0.0413132 | + | 0.0904632i | ||||
\(801\) | 0 | 0 | ||||||||
\(802\) | −7.02865 | + | 4.51704i | −0.248190 | + | 0.159502i | ||||
\(803\) | −0.357079 | + | 0.412091i | −0.0126010 | + | 0.0145424i | ||||
\(804\) | 0 | 0 | ||||||||
\(805\) | 9.87805 | + | 20.4621i | 0.348155 | + | 0.721196i | ||||
\(806\) | −6.41002 | −0.225783 | ||||||||
\(807\) | 0 | 0 | ||||||||
\(808\) | 12.9138 | − | 8.29920i | 0.454306 | − | 0.291965i | ||||
\(809\) | 3.95074 | + | 27.4780i | 0.138901 | + | 0.966075i | 0.933407 | + | 0.358819i | \(0.116820\pi\) |
−0.794507 | + | 0.607256i | \(0.792270\pi\) | |||||||
\(810\) | 0 | 0 | ||||||||
\(811\) | −2.63257 | + | 18.3099i | −0.0924421 | + | 0.642949i | 0.889942 | + | 0.456074i | \(0.150745\pi\) |
−0.982384 | + | 0.186875i | \(0.940164\pi\) | |||||||
\(812\) | −22.5797 | + | 6.63000i | −0.792392 | + | 0.232667i | ||||
\(813\) | 0 | 0 | ||||||||
\(814\) | −0.0709331 | + | 0.155322i | −0.00248620 | + | 0.00544403i | ||||
\(815\) | −22.3131 | − | 6.55171i | −0.781593 | − | 0.229496i | ||||
\(816\) | 0 | 0 | ||||||||
\(817\) | −30.1732 | − | 34.8217i | −1.05563 | − | 1.21826i | ||||
\(818\) | −4.01699 | − | 1.17949i | −0.140451 | − | 0.0412401i | ||||
\(819\) | 0 | 0 | ||||||||
\(820\) | 1.81609 | + | 1.16713i | 0.0634205 | + | 0.0407579i | ||||
\(821\) | −3.74080 | + | 1.09840i | −0.130555 | + | 0.0383343i | −0.346357 | − | 0.938103i | \(-0.612581\pi\) |
0.215802 | + | 0.976437i | \(0.430763\pi\) | |||||||
\(822\) | 0 | 0 | ||||||||
\(823\) | −5.67680 | − | 12.4305i | −0.197881 | − | 0.433299i | 0.784515 | − | 0.620110i | \(-0.212912\pi\) |
−0.982396 | + | 0.186811i | \(0.940185\pi\) | |||||||
\(824\) | 2.18053 | + | 15.1659i | 0.0759623 | + | 0.528329i | ||||
\(825\) | 0 | 0 | ||||||||
\(826\) | −11.2465 | + | 12.9791i | −0.391315 | + | 0.451602i | ||||
\(827\) | −1.97288 | −0.0686037 | −0.0343019 | − | 0.999412i | \(-0.510921\pi\) | ||||
−0.0343019 | + | 0.999412i | \(0.510921\pi\) | |||||||
\(828\) | 0 | 0 | ||||||||
\(829\) | 6.37133 | 0.221285 | 0.110643 | − | 0.993860i | \(-0.464709\pi\) | ||||
0.110643 | + | 0.993860i | \(0.464709\pi\) | |||||||
\(830\) | 9.71787 | − | 11.2150i | 0.337312 | − | 0.389279i | ||||
\(831\) | 0 | 0 | ||||||||
\(832\) | 0.114669 | + | 0.797537i | 0.00397542 | + | 0.0276496i | ||||
\(833\) | −2.79183 | − | 6.11326i | −0.0967313 | − | 0.211812i | ||||
\(834\) | 0 | 0 | ||||||||
\(835\) | −5.70382 | + | 1.67479i | −0.197389 | + | 0.0579586i | ||||
\(836\) | 0.171016 | + | 0.109906i | 0.00591472 | + | 0.00380116i | ||||
\(837\) | 0 | 0 | ||||||||
\(838\) | −8.62112 | − | 2.53139i | −0.297812 | − | 0.0874454i | ||||
\(839\) | −0.227540 | − | 0.262595i | −0.00785555 | − | 0.00906578i | 0.751808 | − | 0.659382i | \(-0.229182\pi\) |
−0.759664 | + | 0.650316i | \(0.774636\pi\) | |||||||
\(840\) | 0 | 0 | ||||||||
\(841\) | −23.9490 | − | 7.03205i | −0.825827 | − | 0.242485i | ||||
\(842\) | 2.80773 | − | 6.14807i | 0.0967608 | − | 0.211877i | ||||
\(843\) | 0 | 0 | ||||||||
\(844\) | −16.5071 | + | 4.84693i | −0.568199 | + | 0.166838i | ||||
\(845\) | 2.59945 | − | 18.0796i | 0.0894237 | − | 0.621956i | ||||
\(846\) | 0 | 0 | ||||||||
\(847\) | −5.01375 | − | 34.8714i | −0.172274 | − | 1.19820i | ||||
\(848\) | 9.29153 | − | 5.97130i | 0.319072 | − | 0.205055i | ||||
\(849\) | 0 | 0 | ||||||||
\(850\) | −5.79323 | −0.198706 | ||||||||
\(851\) | −9.45749 | + | 11.3974i | −0.324199 | + | 0.390697i | ||||
\(852\) | 0 | 0 | ||||||||
\(853\) | 14.4584 | − | 16.6859i | 0.495047 | − | 0.571315i | −0.452160 | − | 0.891937i | \(-0.649346\pi\) |
0.947207 | + | 0.320622i | \(0.103892\pi\) | |||||||
\(854\) | 32.8837 | − | 21.1330i | 1.12526 | − | 0.723158i | ||||
\(855\) | 0 | 0 | ||||||||
\(856\) | −4.01932 | − | 8.80107i | −0.137377 | − | 0.300814i | ||||
\(857\) | −2.75575 | + | 19.1667i | −0.0941348 | + | 0.654722i | 0.887053 | + | 0.461667i | \(0.152749\pi\) |
−0.981188 | + | 0.193055i | \(0.938161\pi\) | |||||||
\(858\) | 0 | 0 | ||||||||
\(859\) | −8.55235 | − | 5.49626i | −0.291802 | − | 0.187530i | 0.386547 | − | 0.922270i | \(-0.373668\pi\) |
−0.678349 | + | 0.734740i | \(0.737304\pi\) | |||||||
\(860\) | −7.69923 | + | 16.8590i | −0.262541 | + | 0.574886i | ||||
\(861\) | 0 | 0 | ||||||||
\(862\) | 14.8481 | + | 17.1357i | 0.505730 | + | 0.583643i | ||||
\(863\) | −7.67639 | − | 8.85902i | −0.261307 | − | 0.301565i | 0.609902 | − | 0.792477i | \(-0.291209\pi\) |
−0.871209 | + | 0.490912i | \(0.836663\pi\) | |||||||
\(864\) | 0 | 0 | ||||||||
\(865\) | −3.22810 | + | 7.06856i | −0.109759 | + | 0.240338i | ||||
\(866\) | −25.1990 | − | 16.1944i | −0.856298 | − | 0.550309i | ||||
\(867\) | 0 | 0 | ||||||||
\(868\) | −3.62707 | + | 25.2268i | −0.123111 | + | 0.856255i | ||||
\(869\) | −0.0831453 | − | 0.182063i | −0.00282051 | − | 0.00617605i | ||||
\(870\) | 0 | 0 | ||||||||
\(871\) | −3.06458 | + | 1.96949i | −0.103839 | + | 0.0667335i | ||||
\(872\) | −8.77525 | + | 10.1272i | −0.297167 | + | 0.342950i | ||||
\(873\) | 0 | 0 | ||||||||
\(874\) | 11.8285 | + | 13.0760i | 0.400106 | + | 0.442302i | ||||
\(875\) | 37.0159 | 1.25136 | ||||||||
\(876\) | 0 | 0 | ||||||||
\(877\) | −25.5664 | + | 16.4306i | −0.863318 | + | 0.554820i | −0.895702 | − | 0.444655i | \(-0.853326\pi\) |
0.0323844 | + | 0.999475i | \(0.489690\pi\) | |||||||
\(878\) | −0.213673 | − | 1.48613i | −0.00721112 | − | 0.0501544i | ||||
\(879\) | 0 | 0 | ||||||||
\(880\) | 0.0116373 | − | 0.0809395i | 0.000392295 | − | 0.00272847i | ||||
\(881\) | −31.9898 | + | 9.39305i | −1.07776 | + | 0.316460i | −0.771984 | − | 0.635642i | \(-0.780735\pi\) |
−0.305780 | + | 0.952102i | \(0.598917\pi\) | |||||||
\(882\) | 0 | 0 | ||||||||
\(883\) | −2.14478 | + | 4.69641i | −0.0721775 | + | 0.158047i | −0.942282 | − | 0.334821i | \(-0.891324\pi\) |
0.870104 | + | 0.492868i | \(0.164051\pi\) | |||||||
\(884\) | −1.59223 | − | 0.467521i | −0.0535524 | − | 0.0157244i | ||||
\(885\) | 0 | 0 | ||||||||
\(886\) | 3.86065 | + | 4.45542i | 0.129701 | + | 0.149683i | ||||
\(887\) | −13.0751 | − | 3.83921i | −0.439020 | − | 0.128908i | 0.0547505 | − | 0.998500i | \(-0.482564\pi\) |
−0.493771 | + | 0.869592i | \(0.664382\pi\) | |||||||
\(888\) | 0 | 0 | ||||||||
\(889\) | −52.1557 | − | 33.5185i | −1.74925 | − | 1.12417i | ||||
\(890\) | 11.7102 | − | 3.43841i | 0.392525 | − | 0.115256i | ||||
\(891\) | 0 | 0 | ||||||||
\(892\) | −4.00700 | − | 8.77411i | −0.134164 | − | 0.293779i | ||||
\(893\) | 0.666905 | + | 4.63843i | 0.0223171 | + | 0.155219i | ||||
\(894\) | 0 | 0 | ||||||||
\(895\) | −2.04628 | + | 2.36153i | −0.0683996 | + | 0.0789373i | ||||
\(896\) | 3.20362 | 0.107025 | ||||||||
\(897\) | 0 | 0 | ||||||||
\(898\) | −36.8587 | −1.22999 | ||||||||
\(899\) | −38.2693 | + | 44.1651i | −1.27635 | + | 1.47299i | ||||
\(900\) | 0 | 0 | ||||||||
\(901\) | 3.23728 | + | 22.5158i | 0.107849 | + | 0.750109i | ||||
\(902\) | 0.0335292 | + | 0.0734187i | 0.00111640 | + | 0.00244458i | ||||
\(903\) | 0 | 0 | ||||||||
\(904\) | −7.89557 | + | 2.31835i | −0.262603 | + | 0.0771072i | ||||
\(905\) | −0.287243 | − | 0.184600i | −0.00954827 | − | 0.00613630i | ||||
\(906\) | 0 | 0 | ||||||||
\(907\) | 21.3147 | + | 6.25857i | 0.707744 | + | 0.207812i | 0.615744 | − | 0.787947i | \(-0.288856\pi\) |
0.0920004 | + | 0.995759i | \(0.470674\pi\) | |||||||
\(908\) | −8.70174 | − | 10.0423i | −0.288777 | − | 0.333267i | ||||
\(909\) | 0 | 0 | ||||||||
\(910\) | 3.66279 | + | 1.07549i | 0.121420 | + | 0.0356523i | ||||
\(911\) | 7.55315 | − | 16.5391i | 0.250247 | − | 0.547965i | −0.742266 | − | 0.670106i | \(-0.766249\pi\) |
0.992513 | + | 0.122141i | \(0.0389761\pi\) | |||||||
\(912\) | 0 | 0 | ||||||||
\(913\) | 0.532347 | − | 0.156311i | 0.0176181 | − | 0.00517315i | ||||
\(914\) | −0.825094 | + | 5.73865i | −0.0272917 | + | 0.189818i | ||||
\(915\) | 0 | 0 | ||||||||
\(916\) | −1.47073 | − | 10.2291i | −0.0485942 | − | 0.337980i | ||||
\(917\) | −56.3341 | + | 36.2037i | −1.86031 | + | 1.19555i | ||||
\(918\) | 0 | 0 | ||||||||
\(919\) | −30.2025 | −0.996289 | −0.498145 | − | 0.867094i | \(-0.665985\pi\) | ||||
−0.498145 | + | 0.867094i | \(0.665985\pi\) | |||||||
\(920\) | 2.80792 | − | 6.51301i | 0.0925745 | − | 0.214728i | ||||
\(921\) | 0 | 0 | ||||||||
\(922\) | 12.5260 | − | 14.4557i | 0.412520 | − | 0.476074i | ||||
\(923\) | −9.89828 | + | 6.36124i | −0.325806 | + | 0.209383i | ||||
\(924\) | 0 | 0 | ||||||||
\(925\) | 3.60855 | + | 7.90162i | 0.118648 | + | 0.259804i | ||||
\(926\) | −2.89421 | + | 20.1297i | −0.0951097 | + | 0.661503i | ||||
\(927\) | 0 | 0 | ||||||||
\(928\) | 6.17964 | + | 3.97141i | 0.202857 | + | 0.130368i | ||||
\(929\) | 10.7210 | − | 23.4758i | 0.351745 | − | 0.770215i | −0.648216 | − | 0.761456i | \(-0.724485\pi\) |
0.999962 | − | 0.00875875i | \(-0.00278803\pi\) | |||||||
\(930\) | 0 | 0 | ||||||||
\(931\) | 7.85651 | + | 9.06690i | 0.257487 | + | 0.297155i | ||||
\(932\) | −0.144971 | − | 0.167306i | −0.00474869 | − | 0.00548028i | ||||
\(933\) | 0 | 0 | ||||||||
\(934\) | 11.2772 | − | 24.6935i | 0.369000 | − | 0.807997i | ||||
\(935\) | 0.141677 | + | 0.0910505i | 0.00463334 | + | 0.00297767i | ||||
\(936\) | 0 | 0 | ||||||||
\(937\) | 2.15628 | − | 14.9972i | 0.0704424 | − | 0.489938i | −0.923808 | − | 0.382857i | \(-0.874940\pi\) |
0.994250 | − | 0.107081i | \(-0.0341506\pi\) | |||||||
\(938\) | 6.01690 | + | 13.1752i | 0.196459 | + | 0.430185i | ||||
\(939\) | 0 | 0 | ||||||||
\(940\) | 1.58575 | − | 1.01910i | 0.0517214 | − | 0.0332393i | ||||
\(941\) | 16.5004 | − | 19.0424i | 0.537897 | − | 0.620766i | −0.420124 | − | 0.907467i | \(-0.638013\pi\) |
0.958020 | + | 0.286701i | \(0.0925587\pi\) | |||||||
\(942\) | 0 | 0 | ||||||||
\(943\) | 1.14401 | + | 6.90653i | 0.0372541 | + | 0.224908i | ||||
\(944\) | 5.36077 | 0.174478 | ||||||||
\(945\) | 0 | 0 | ||||||||
\(946\) | −0.582939 | + | 0.374632i | −0.0189530 | + | 0.0121803i | ||||
\(947\) | −0.0871759 | − | 0.606322i | −0.00283284 | − | 0.0197028i | 0.988356 | − | 0.152159i | \(-0.0486226\pi\) |
−0.991189 | + | 0.132456i | \(0.957714\pi\) | |||||||
\(948\) | 0 | 0 | ||||||||
\(949\) | −1.13081 | + | 7.86499i | −0.0367078 | + | 0.255308i | ||||
\(950\) | 9.92285 | − | 2.91361i | 0.321940 | − | 0.0945300i | ||||
\(951\) | 0 | 0 | ||||||||
\(952\) | −2.74089 | + | 6.00172i | −0.0888329 | + | 0.194517i | ||||
\(953\) | 32.8894 | + | 9.65720i | 1.06539 | + | 0.312827i | 0.767021 | − | 0.641622i | \(-0.221738\pi\) |
0.298372 | + | 0.954450i | \(0.403556\pi\) | |||||||
\(954\) | 0 | 0 | ||||||||
\(955\) | 4.26434 | + | 4.92131i | 0.137991 | + | 0.159250i | ||||
\(956\) | 9.68443 | + | 2.84361i | 0.313217 | + | 0.0919688i | ||||
\(957\) | 0 | 0 | ||||||||
\(958\) | −3.14090 | − | 2.01853i | −0.101478 | − | 0.0652159i | ||||
\(959\) | −18.1329 | + | 5.32430i | −0.585542 | + | 0.171931i | ||||
\(960\) | 0 | 0 | ||||||||
\(961\) | 13.4135 | + | 29.3715i | 0.432694 | + | 0.947467i | ||||
\(962\) | 0.354114 | + | 2.46292i | 0.0114171 | + | 0.0794077i | ||||
\(963\) | 0 | 0 | ||||||||
\(964\) | 1.63492 | − | 1.88680i | 0.0526573 | − | 0.0607698i | ||||
\(965\) | 31.7921 | 1.02343 | ||||||||
\(966\) | 0 | 0 | ||||||||
\(967\) | 32.9004 | 1.05801 | 0.529003 | − | 0.848620i | \(-0.322566\pi\) | ||||
0.529003 | + | 0.848620i | \(0.322566\pi\) | |||||||
\(968\) | −7.20147 | + | 8.31093i | −0.231464 | + | 0.267124i | ||||
\(969\) | 0 | 0 | ||||||||
\(970\) | 1.47668 | + | 10.2706i | 0.0474135 | + | 0.329768i | ||||
\(971\) | 6.37511 | + | 13.9596i | 0.204587 | + | 0.447983i | 0.983916 | − | 0.178632i | \(-0.0571671\pi\) |
−0.779329 | + | 0.626615i | \(0.784440\pi\) | |||||||
\(972\) | 0 | 0 | ||||||||
\(973\) | −12.4293 | + | 3.64957i | −0.398465 | + | 0.117000i | ||||
\(974\) | −19.3970 | − | 12.4657i | −0.621521 | − | 0.399427i | ||||
\(975\) | 0 | 0 | ||||||||
\(976\) | −11.7072 | − | 3.43756i | −0.374740 | − | 0.110034i | ||||
\(977\) | −4.97290 | − | 5.73903i | −0.159097 | − | 0.183608i | 0.670604 | − | 0.741815i | \(-0.266035\pi\) |
−0.829701 | + | 0.558207i | \(0.811489\pi\) | |||||||
\(978\) | 0 | 0 | ||||||||
\(979\) | 0.437818 | + | 0.128555i | 0.0139927 | + | 0.00410864i | ||||
\(980\) | 2.00473 | − | 4.38975i | 0.0640388 | − | 0.140225i | ||||
\(981\) | 0 | 0 | ||||||||
\(982\) | 1.07683 | − | 0.316186i | 0.0343630 | − | 0.0100899i | ||||
\(983\) | 0.398420 | − | 2.77108i | 0.0127076 | − | 0.0883836i | −0.982481 | − | 0.186365i | \(-0.940329\pi\) |
0.995188 | + | 0.0979811i | \(0.0312385\pi\) | |||||||
\(984\) | 0 | 0 | ||||||||
\(985\) | 1.87150 | + | 13.0166i | 0.0596310 | + | 0.414743i | ||||
\(986\) | −12.7272 | + | 8.17927i | −0.405316 | + | 0.260481i | ||||
\(987\) | 0 | 0 | ||||||||
\(988\) | 2.96236 | 0.0942451 | ||||||||
\(989\) | −57.2933 | + | 18.1602i | −1.82182 | + | 0.577460i | ||||
\(990\) | 0 | 0 | ||||||||
\(991\) | −0.331888 | + | 0.383020i | −0.0105428 | + | 0.0121670i | −0.760996 | − | 0.648756i | \(-0.775290\pi\) |
0.750454 | + | 0.660923i | \(0.229835\pi\) | |||||||
\(992\) | 6.69256 | − | 4.30105i | 0.212489 | − | 0.136558i | ||||
\(993\) | 0 | 0 | ||||||||
\(994\) | 19.4340 | + | 42.5545i | 0.616408 | + | 1.34975i | ||||
\(995\) | −3.82106 | + | 26.5760i | −0.121136 | + | 0.842517i | ||||
\(996\) | 0 | 0 | ||||||||
\(997\) | 10.1906 | + | 6.54908i | 0.322739 | + | 0.207412i | 0.691970 | − | 0.721926i | \(-0.256743\pi\) |
−0.369232 | + | 0.929337i | \(0.620379\pi\) | |||||||
\(998\) | −16.4744 | + | 36.0738i | −0.521487 | + | 1.14190i | ||||
\(999\) | 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 | 414.2.i.d.361.1 | 10 | ||
3.2 | odd | 2 | 138.2.e.a.85.1 | yes | 10 | ||
23.6 | even | 11 | 9522.2.a.bt.1.3 | 5 | |||
23.13 | even | 11 | inner | 414.2.i.d.289.1 | 10 | ||
23.17 | odd | 22 | 9522.2.a.bq.1.3 | 5 | |||
69.17 | even | 22 | 3174.2.a.bd.1.3 | 5 | |||
69.29 | odd | 22 | 3174.2.a.bc.1.3 | 5 | |||
69.59 | odd | 22 | 138.2.e.a.13.1 | ✓ | 10 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
138.2.e.a.13.1 | ✓ | 10 | 69.59 | odd | 22 | ||
138.2.e.a.85.1 | yes | 10 | 3.2 | odd | 2 | ||
414.2.i.d.289.1 | 10 | 23.13 | even | 11 | inner | ||
414.2.i.d.361.1 | 10 | 1.1 | even | 1 | trivial | ||
3174.2.a.bc.1.3 | 5 | 69.29 | odd | 22 | |||
3174.2.a.bd.1.3 | 5 | 69.17 | even | 22 | |||
9522.2.a.bq.1.3 | 5 | 23.17 | odd | 22 | |||
9522.2.a.bt.1.3 | 5 | 23.6 | even | 11 |