Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [729,2,Mod(82,729)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(729, base_ring=CyclotomicField(18))
chi = DirichletCharacter(H, H._module([8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("729.82");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 729 = 3^{6} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 729.e (of order \(9\), degree \(6\), not 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: | \(5.82109430735\) |
Analytic rank: | \(0\) |
Dimension: | \(12\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{9})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{12} + \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{12} + 18x^{10} + 105x^{8} + 266x^{6} + 306x^{4} + 132x^{2} + 1 \)
|
Coefficient ring: | \(\Z[a_1, \ldots, a_{4}]\) |
Coefficient ring index: | \( 3 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{9}]$ |
Embedding invariants
Embedding label | 406.1 | ||
Root | \(1.37340i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 729.406 |
Dual form | 729.2.e.j.325.1 |
$q$-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 \(\left(\mathbb{Z}/729\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{2}{9}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −2.07220 | − | 1.73878i | −1.46527 | − | 1.22950i | −0.920398 | − | 0.390983i | \(-0.872135\pi\) |
−0.544869 | − | 0.838521i | \(-0.683421\pi\) | |||||||
\(3\) | 0 | 0 | ||||||||
\(4\) | 0.923353 | + | 5.23659i | 0.461676 | + | 2.61830i | ||||
\(5\) | −1.57153 | − | 0.571989i | −0.702809 | − | 0.255801i | −0.0341990 | − | 0.999415i | \(-0.510888\pi\) |
−0.668610 | + | 0.743614i | \(0.733110\pi\) | |||||||
\(6\) | 0 | 0 | ||||||||
\(7\) | 0.0869267 | − | 0.492986i | 0.0328552 | − | 0.186331i | −0.963963 | − | 0.266035i | \(-0.914286\pi\) |
0.996819 | + | 0.0797038i | \(0.0253974\pi\) | |||||||
\(8\) | 4.48686 | − | 7.77147i | 1.58634 | − | 2.74763i | ||||
\(9\) | 0 | 0 | ||||||||
\(10\) | 2.26195 | + | 3.91782i | 0.715293 | + | 1.23892i | ||||
\(11\) | −1.80207 | + | 0.655898i | −0.543343 | + | 0.197761i | −0.599086 | − | 0.800684i | \(-0.704469\pi\) |
0.0557432 | + | 0.998445i | \(0.482247\pi\) | |||||||
\(12\) | 0 | 0 | ||||||||
\(13\) | 2.38426 | − | 2.00063i | 0.661276 | − | 0.554876i | −0.249193 | − | 0.968454i | \(-0.580165\pi\) |
0.910469 | + | 0.413578i | \(0.135721\pi\) | |||||||
\(14\) | −1.03732 | + | 0.870419i | −0.277237 | + | 0.232629i | ||||
\(15\) | 0 | 0 | ||||||||
\(16\) | −12.8172 | + | 4.66506i | −3.20429 | + | 1.16627i | ||||
\(17\) | 1.33234 | + | 2.30767i | 0.323139 | + | 0.559693i | 0.981134 | − | 0.193329i | \(-0.0619285\pi\) |
−0.657995 | + | 0.753022i | \(0.728595\pi\) | |||||||
\(18\) | 0 | 0 | ||||||||
\(19\) | −2.89832 | + | 5.02003i | −0.664920 | + | 1.15167i | 0.314387 | + | 0.949295i | \(0.398201\pi\) |
−0.979307 | + | 0.202380i | \(0.935132\pi\) | |||||||
\(20\) | 1.54420 | − | 8.75760i | 0.345294 | − | 1.95826i | ||||
\(21\) | 0 | 0 | ||||||||
\(22\) | 4.87470 | + | 1.77425i | 1.03929 | + | 0.378271i | ||||
\(23\) | 0.806747 | + | 4.57529i | 0.168218 | + | 0.954013i | 0.945684 | + | 0.325088i | \(0.105394\pi\) |
−0.777466 | + | 0.628926i | \(0.783495\pi\) | |||||||
\(24\) | 0 | 0 | ||||||||
\(25\) | −1.68769 | − | 1.41614i | −0.337539 | − | 0.283229i | ||||
\(26\) | −8.41934 | −1.65117 | ||||||||
\(27\) | 0 | 0 | ||||||||
\(28\) | 2.66183 | 0.503039 | ||||||||
\(29\) | 2.00326 | + | 1.68093i | 0.371996 | + | 0.312142i | 0.809551 | − | 0.587050i | \(-0.199711\pi\) |
−0.437555 | + | 0.899192i | \(0.644155\pi\) | |||||||
\(30\) | 0 | 0 | ||||||||
\(31\) | −0.801317 | − | 4.54450i | −0.143921 | − | 0.816216i | −0.968227 | − | 0.250072i | \(-0.919546\pi\) |
0.824306 | − | 0.566144i | \(-0.191565\pi\) | |||||||
\(32\) | 17.8062 | + | 6.48092i | 3.14772 | + | 1.14567i | ||||
\(33\) | 0 | 0 | ||||||||
\(34\) | 1.25168 | − | 7.09860i | 0.214661 | − | 1.21740i | ||||
\(35\) | −0.418591 | + | 0.725020i | −0.0707547 | + | 0.122551i | ||||
\(36\) | 0 | 0 | ||||||||
\(37\) | 2.42934 | + | 4.20773i | 0.399381 | + | 0.691747i | 0.993650 | − | 0.112519i | \(-0.0358919\pi\) |
−0.594269 | + | 0.804266i | \(0.702559\pi\) | |||||||
\(38\) | 14.7346 | − | 5.36297i | 2.39027 | − | 0.869989i | ||||
\(39\) | 0 | 0 | ||||||||
\(40\) | −11.4964 | + | 9.64664i | −1.81774 | + | 1.52527i | ||||
\(41\) | 8.84640 | − | 7.42301i | 1.38158 | − | 1.15928i | 0.412951 | − | 0.910753i | \(-0.364498\pi\) |
0.968625 | − | 0.248527i | \(-0.0799465\pi\) | |||||||
\(42\) | 0 | 0 | ||||||||
\(43\) | 8.46131 | − | 3.07966i | 1.29034 | − | 0.469644i | 0.396500 | − | 0.918035i | \(-0.370225\pi\) |
0.893838 | + | 0.448390i | \(0.148003\pi\) | |||||||
\(44\) | −5.09861 | − | 8.83106i | −0.768645 | − | 1.33133i | ||||
\(45\) | 0 | 0 | ||||||||
\(46\) | 6.28369 | − | 10.8837i | 0.926479 | − | 1.60471i | ||||
\(47\) | −1.18641 | + | 6.72844i | −0.173055 | + | 0.981444i | 0.767310 | + | 0.641277i | \(0.221595\pi\) |
−0.940365 | + | 0.340167i | \(0.889516\pi\) | |||||||
\(48\) | 0 | 0 | ||||||||
\(49\) | 6.34237 | + | 2.30843i | 0.906053 | + | 0.329776i | ||||
\(50\) | 1.03487 | + | 5.86907i | 0.146353 | + | 0.830011i | ||||
\(51\) | 0 | 0 | ||||||||
\(52\) | 12.6780 | + | 10.6381i | 1.75813 | + | 1.47524i | ||||
\(53\) | 5.43322 | 0.746309 | 0.373155 | − | 0.927769i | \(-0.378276\pi\) | ||||
0.373155 | + | 0.927769i | \(0.378276\pi\) | |||||||
\(54\) | 0 | 0 | ||||||||
\(55\) | 3.20716 | 0.432454 | ||||||||
\(56\) | −3.44120 | − | 2.88751i | −0.459849 | − | 0.385859i | ||||
\(57\) | 0 | 0 | ||||||||
\(58\) | −1.22838 | − | 6.96647i | −0.161294 | − | 0.914742i | ||||
\(59\) | −2.05916 | − | 0.749473i | −0.268080 | − | 0.0975731i | 0.204483 | − | 0.978870i | \(-0.434449\pi\) |
−0.472563 | + | 0.881297i | \(0.656671\pi\) | |||||||
\(60\) | 0 | 0 | ||||||||
\(61\) | 1.18781 | − | 6.73642i | 0.152084 | − | 0.862510i | −0.809320 | − | 0.587368i | \(-0.800164\pi\) |
0.961404 | − | 0.275142i | \(-0.0887248\pi\) | |||||||
\(62\) | −6.24140 | + | 10.8104i | −0.792659 | + | 1.37293i | ||||
\(63\) | 0 | 0 | ||||||||
\(64\) | −11.9893 | − | 20.7661i | −1.49866 | − | 2.59576i | ||||
\(65\) | −4.89128 | + | 1.78028i | −0.606688 | + | 0.220816i | ||||
\(66\) | 0 | 0 | ||||||||
\(67\) | 9.56299 | − | 8.02430i | 1.16831 | − | 0.980324i | 0.168320 | − | 0.985732i | \(-0.446166\pi\) |
0.999985 | + | 0.00540797i | \(0.00172142\pi\) | |||||||
\(68\) | −10.8541 | + | 9.10770i | −1.31626 | + | 1.10447i | ||||
\(69\) | 0 | 0 | ||||||||
\(70\) | 2.12806 | − | 0.774549i | 0.254351 | − | 0.0925763i | ||||
\(71\) | −1.41784 | − | 2.45578i | −0.168267 | − | 0.291447i | 0.769544 | − | 0.638594i | \(-0.220484\pi\) |
−0.937811 | + | 0.347147i | \(0.887150\pi\) | |||||||
\(72\) | 0 | 0 | ||||||||
\(73\) | −4.96749 | + | 8.60394i | −0.581400 | + | 1.00701i | 0.413913 | + | 0.910316i | \(0.364162\pi\) |
−0.995314 | + | 0.0966986i | \(0.969172\pi\) | |||||||
\(74\) | 2.28226 | − | 12.9434i | 0.265308 | − | 1.50463i | ||||
\(75\) | 0 | 0 | ||||||||
\(76\) | −28.9640 | − | 10.5421i | −3.32240 | − | 1.20926i | ||||
\(77\) | 0.166701 | + | 0.945408i | 0.0189973 | + | 0.107739i | ||||
\(78\) | 0 | 0 | ||||||||
\(79\) | 4.06862 | + | 3.41398i | 0.457756 | + | 0.384103i | 0.842305 | − | 0.539002i | \(-0.181198\pi\) |
−0.384549 | + | 0.923105i | \(0.625643\pi\) | |||||||
\(80\) | 22.8109 | 2.55033 | ||||||||
\(81\) | 0 | 0 | ||||||||
\(82\) | −31.2385 | −3.44972 | ||||||||
\(83\) | 2.08988 | + | 1.75362i | 0.229395 | + | 0.192485i | 0.750239 | − | 0.661167i | \(-0.229938\pi\) |
−0.520844 | + | 0.853652i | \(0.674383\pi\) | |||||||
\(84\) | 0 | 0 | ||||||||
\(85\) | −0.773838 | − | 4.38865i | −0.0839345 | − | 0.476016i | ||||
\(86\) | −22.8884 | − | 8.33069i | −2.46812 | − | 0.898322i | ||||
\(87\) | 0 | 0 | ||||||||
\(88\) | −2.98832 | + | 16.9476i | −0.318556 | + | 1.80662i | ||||
\(89\) | 5.60945 | − | 9.71585i | 0.594600 | − | 1.02988i | −0.399003 | − | 0.916950i | \(-0.630644\pi\) |
0.993603 | − | 0.112928i | \(-0.0360230\pi\) | |||||||
\(90\) | 0 | 0 | ||||||||
\(91\) | −0.779029 | − | 1.34932i | −0.0816644 | − | 0.141447i | ||||
\(92\) | −23.2140 | + | 8.44921i | −2.42023 | + | 0.880891i | ||||
\(93\) | 0 | 0 | ||||||||
\(94\) | 14.1578 | − | 11.8798i | 1.46026 | − | 1.22531i | ||||
\(95\) | 7.42619 | − | 6.23132i | 0.761911 | − | 0.639320i | ||||
\(96\) | 0 | 0 | ||||||||
\(97\) | 6.47368 | − | 2.35623i | 0.657302 | − | 0.239238i | 0.00823103 | − | 0.999966i | \(-0.497380\pi\) |
0.649071 | + | 0.760728i | \(0.275158\pi\) | |||||||
\(98\) | −9.12879 | − | 15.8115i | −0.922147 | − | 1.59721i | ||||
\(99\) | 0 | 0 | ||||||||
\(100\) | 5.85743 | − | 10.1454i | 0.585743 | − | 1.01454i | ||||
\(101\) | −0.647646 | + | 3.67298i | −0.0644432 | + | 0.365476i | 0.935484 | + | 0.353370i | \(0.114964\pi\) |
−0.999927 | + | 0.0121053i | \(0.996147\pi\) | |||||||
\(102\) | 0 | 0 | ||||||||
\(103\) | −7.21759 | − | 2.62699i | −0.711170 | − | 0.258845i | −0.0389976 | − | 0.999239i | \(-0.512416\pi\) |
−0.672173 | + | 0.740395i | \(0.734639\pi\) | |||||||
\(104\) | −4.85001 | − | 27.5058i | −0.475583 | − | 2.69716i | ||||
\(105\) | 0 | 0 | ||||||||
\(106\) | −11.2587 | − | 9.44718i | −1.09354 | − | 0.917591i | ||||
\(107\) | 10.7658 | 1.04077 | 0.520383 | − | 0.853933i | \(-0.325789\pi\) | ||||
0.520383 | + | 0.853933i | \(0.325789\pi\) | |||||||
\(108\) | 0 | 0 | ||||||||
\(109\) | 12.2298 | 1.17141 | 0.585703 | − | 0.810526i | \(-0.300819\pi\) | ||||
0.585703 | + | 0.810526i | \(0.300819\pi\) | |||||||
\(110\) | −6.64588 | − | 5.57656i | −0.633660 | − | 0.531704i | ||||
\(111\) | 0 | 0 | ||||||||
\(112\) | 1.18566 | + | 6.72420i | 0.112034 | + | 0.635377i | ||||
\(113\) | −1.82671 | − | 0.664870i | −0.171843 | − | 0.0625457i | 0.254666 | − | 0.967029i | \(-0.418034\pi\) |
−0.426509 | + | 0.904483i | \(0.640257\pi\) | |||||||
\(114\) | 0 | 0 | ||||||||
\(115\) | 1.34919 | − | 7.65164i | 0.125813 | − | 0.713519i | ||||
\(116\) | −6.95266 | + | 12.0424i | −0.645538 | + | 1.11810i | ||||
\(117\) | 0 | 0 | ||||||||
\(118\) | 2.96382 | + | 5.13349i | 0.272842 | + | 0.472576i | ||||
\(119\) | 1.25347 | − | 0.456225i | 0.114905 | − | 0.0418220i | ||||
\(120\) | 0 | 0 | ||||||||
\(121\) | −5.60925 | + | 4.70672i | −0.509932 | + | 0.427884i | ||||
\(122\) | −14.1745 | + | 11.8939i | −1.28330 | + | 1.07682i | ||||
\(123\) | 0 | 0 | ||||||||
\(124\) | 23.0578 | − | 8.39235i | 2.07065 | − | 0.753655i | ||||
\(125\) | 6.02320 | + | 10.4325i | 0.538732 | + | 0.933110i | ||||
\(126\) | 0 | 0 | ||||||||
\(127\) | −1.17217 | + | 2.03025i | −0.104013 | + | 0.180156i | −0.913335 | − | 0.407210i | \(-0.866502\pi\) |
0.809322 | + | 0.587366i | \(0.199835\pi\) | |||||||
\(128\) | −4.68257 | + | 26.5562i | −0.413885 | + | 2.34726i | ||||
\(129\) | 0 | 0 | ||||||||
\(130\) | 13.2312 | + | 4.81577i | 1.16046 | + | 0.422371i | ||||
\(131\) | 2.96980 | + | 16.8426i | 0.259472 | + | 1.47154i | 0.784326 | + | 0.620349i | \(0.213009\pi\) |
−0.524854 | + | 0.851193i | \(0.675880\pi\) | |||||||
\(132\) | 0 | 0 | ||||||||
\(133\) | 2.22287 | + | 1.86521i | 0.192747 | + | 0.161734i | ||||
\(134\) | −33.7689 | −2.91719 | ||||||||
\(135\) | 0 | 0 | ||||||||
\(136\) | 23.9120 | 2.05044 | ||||||||
\(137\) | −10.6688 | − | 8.95221i | −0.911499 | − | 0.764839i | 0.0609045 | − | 0.998144i | \(-0.480601\pi\) |
−0.972404 | + | 0.233305i | \(0.925046\pi\) | |||||||
\(138\) | 0 | 0 | ||||||||
\(139\) | 1.37471 | + | 7.79636i | 0.116601 | + | 0.661279i | 0.985945 | + | 0.167071i | \(0.0534308\pi\) |
−0.869344 | + | 0.494208i | \(0.835458\pi\) | |||||||
\(140\) | −4.18314 | − | 1.52254i | −0.353540 | − | 0.128678i | ||||
\(141\) | 0 | 0 | ||||||||
\(142\) | −1.33200 | + | 7.55418i | −0.111779 | + | 0.633932i | ||||
\(143\) | −2.98439 | + | 5.16911i | −0.249567 | + | 0.432263i | ||||
\(144\) | 0 | 0 | ||||||||
\(145\) | −2.18670 | − | 3.78748i | −0.181596 | − | 0.314533i | ||||
\(146\) | 25.2540 | − | 9.19170i | 2.09004 | − | 0.760711i | ||||
\(147\) | 0 | 0 | ||||||||
\(148\) | −19.7911 | + | 16.6067i | −1.62682 | + | 1.36506i | ||||
\(149\) | −0.557783 | + | 0.468036i | −0.0456954 | + | 0.0383430i | −0.665349 | − | 0.746532i | \(-0.731717\pi\) |
0.619654 | + | 0.784875i | \(0.287273\pi\) | |||||||
\(150\) | 0 | 0 | ||||||||
\(151\) | −4.08023 | + | 1.48508i | −0.332044 | + | 0.120854i | −0.502662 | − | 0.864483i | \(-0.667646\pi\) |
0.170618 | + | 0.985337i | \(0.445424\pi\) | |||||||
\(152\) | 26.0087 | + | 45.0484i | 2.10958 | + | 3.65390i | ||||
\(153\) | 0 | 0 | ||||||||
\(154\) | 1.29842 | − | 2.24893i | 0.104630 | − | 0.181224i | ||||
\(155\) | −1.34011 | + | 7.60015i | −0.107640 | + | 0.610459i | ||||
\(156\) | 0 | 0 | ||||||||
\(157\) | 14.5871 | + | 5.30927i | 1.16418 | + | 0.423726i | 0.850588 | − | 0.525833i | \(-0.176246\pi\) |
0.313589 | + | 0.949559i | \(0.398469\pi\) | |||||||
\(158\) | −2.49483 | − | 14.1489i | −0.198478 | − | 1.12563i | ||||
\(159\) | 0 | 0 | ||||||||
\(160\) | −24.2759 | − | 20.3699i | −1.91918 | − | 1.61038i | ||||
\(161\) | 2.32568 | 0.183289 | ||||||||
\(162\) | 0 | 0 | ||||||||
\(163\) | 8.49738 | 0.665566 | 0.332783 | − | 0.943003i | \(-0.392012\pi\) | ||||
0.332783 | + | 0.943003i | \(0.392012\pi\) | |||||||
\(164\) | 47.0397 | + | 39.4710i | 3.67318 | + | 3.08216i | ||||
\(165\) | 0 | 0 | ||||||||
\(166\) | −1.28149 | − | 7.26771i | −0.0994631 | − | 0.564083i | ||||
\(167\) | 21.7463 | + | 7.91501i | 1.68278 | + | 0.612482i | 0.993687 | − | 0.112190i | \(-0.0357867\pi\) |
0.689094 | + | 0.724672i | \(0.258009\pi\) | |||||||
\(168\) | 0 | 0 | ||||||||
\(169\) | −0.575253 | + | 3.26242i | −0.0442502 | + | 0.250955i | ||||
\(170\) | −6.02737 | + | 10.4397i | −0.462278 | + | 0.800689i | ||||
\(171\) | 0 | 0 | ||||||||
\(172\) | 23.9397 | + | 41.4648i | 1.82539 | + | 3.16166i | ||||
\(173\) | −2.42298 | + | 0.881892i | −0.184216 | + | 0.0670490i | −0.432481 | − | 0.901643i | \(-0.642362\pi\) |
0.248265 | + | 0.968692i | \(0.420139\pi\) | |||||||
\(174\) | 0 | 0 | ||||||||
\(175\) | −0.844845 | + | 0.708909i | −0.0638643 | + | 0.0535885i | ||||
\(176\) | 20.0375 | − | 16.8135i | 1.51039 | − | 1.26737i | ||||
\(177\) | 0 | 0 | ||||||||
\(178\) | −28.5176 | + | 10.3796i | −2.13749 | + | 0.777982i | ||||
\(179\) | −4.44806 | − | 7.70427i | −0.332464 | − | 0.575844i | 0.650530 | − | 0.759480i | \(-0.274547\pi\) |
−0.982994 | + | 0.183636i | \(0.941213\pi\) | |||||||
\(180\) | 0 | 0 | ||||||||
\(181\) | −3.95592 | + | 6.85185i | −0.294041 | + | 0.509294i | −0.974761 | − | 0.223250i | \(-0.928334\pi\) |
0.680720 | + | 0.732543i | \(0.261667\pi\) | |||||||
\(182\) | −0.731866 | + | 4.15062i | −0.0542495 | + | 0.307664i | ||||
\(183\) | 0 | 0 | ||||||||
\(184\) | 39.1764 | + | 14.2591i | 2.88813 | + | 1.05119i | ||||
\(185\) | −1.41099 | − | 8.00213i | −0.103738 | − | 0.588328i | ||||
\(186\) | 0 | 0 | ||||||||
\(187\) | −3.91456 | − | 3.28470i | −0.286261 | − | 0.240201i | ||||
\(188\) | −36.3296 | −2.64961 | ||||||||
\(189\) | 0 | 0 | ||||||||
\(190\) | −26.2235 | −1.90245 | ||||||||
\(191\) | 12.1781 | + | 10.2186i | 0.881175 | + | 0.739393i | 0.966420 | − | 0.256967i | \(-0.0827230\pi\) |
−0.0852456 | + | 0.996360i | \(0.527167\pi\) | |||||||
\(192\) | 0 | 0 | ||||||||
\(193\) | −0.796139 | − | 4.51513i | −0.0573073 | − | 0.325006i | 0.942654 | − | 0.333771i | \(-0.108321\pi\) |
−0.999962 | + | 0.00876483i | \(0.997210\pi\) | |||||||
\(194\) | −17.5117 | − | 6.37374i | −1.25727 | − | 0.457608i | ||||
\(195\) | 0 | 0 | ||||||||
\(196\) | −6.23208 | + | 35.3439i | −0.445149 | + | 2.52456i | ||||
\(197\) | 1.49708 | − | 2.59303i | 0.106663 | − | 0.184745i | −0.807754 | − | 0.589520i | \(-0.799317\pi\) |
0.914416 | + | 0.404775i | \(0.132650\pi\) | |||||||
\(198\) | 0 | 0 | ||||||||
\(199\) | −7.44425 | − | 12.8938i | −0.527709 | − | 0.914018i | −0.999478 | − | 0.0322965i | \(-0.989718\pi\) |
0.471770 | − | 0.881722i | \(-0.343615\pi\) | |||||||
\(200\) | −18.5780 | + | 6.76183i | −1.31366 | + | 0.478133i | ||||
\(201\) | 0 | 0 | ||||||||
\(202\) | 7.72857 | − | 6.48504i | 0.543781 | − | 0.456286i | ||||
\(203\) | 1.00281 | − | 0.841461i | 0.0703838 | − | 0.0590590i | ||||
\(204\) | 0 | 0 | ||||||||
\(205\) | −18.1483 | + | 6.60542i | −1.26753 | + | 0.461343i | ||||
\(206\) | 10.3885 | + | 17.9935i | 0.723803 | + | 1.25366i | ||||
\(207\) | 0 | 0 | ||||||||
\(208\) | −21.2264 | + | 36.7652i | −1.47179 | + | 2.54921i | ||||
\(209\) | 1.93033 | − | 10.9474i | 0.133524 | − | 0.757250i | ||||
\(210\) | 0 | 0 | ||||||||
\(211\) | −13.0420 | − | 4.74688i | −0.897845 | − | 0.326789i | −0.148456 | − | 0.988919i | \(-0.547430\pi\) |
−0.749389 | + | 0.662130i | \(0.769653\pi\) | |||||||
\(212\) | 5.01677 | + | 28.4515i | 0.344553 | + | 1.95406i | ||||
\(213\) | 0 | 0 | ||||||||
\(214\) | −22.3088 | − | 18.7193i | −1.52500 | − | 1.27963i | ||||
\(215\) | −15.0587 | −1.02700 | ||||||||
\(216\) | 0 | 0 | ||||||||
\(217\) | −2.31003 | −0.156815 | ||||||||
\(218\) | −25.3427 | − | 21.2650i | −1.71642 | − | 1.44025i | ||||
\(219\) | 0 | 0 | ||||||||
\(220\) | 2.96134 | + | 16.7946i | 0.199654 | + | 1.13229i | ||||
\(221\) | 7.79345 | + | 2.83658i | 0.524244 | + | 0.190809i | ||||
\(222\) | 0 | 0 | ||||||||
\(223\) | −1.18289 | + | 6.70849i | −0.0792120 | + | 0.449234i | 0.919244 | + | 0.393688i | \(0.128801\pi\) |
−0.998456 | + | 0.0555457i | \(0.982310\pi\) | |||||||
\(224\) | 4.74283 | − | 8.21483i | 0.316894 | − | 0.548876i | ||||
\(225\) | 0 | 0 | ||||||||
\(226\) | 2.62925 | + | 4.55400i | 0.174895 | + | 0.302928i | ||||
\(227\) | −9.15340 | + | 3.33156i | −0.607532 | + | 0.221124i | −0.627423 | − | 0.778678i | \(-0.715890\pi\) |
0.0198908 | + | 0.999802i | \(0.493668\pi\) | |||||||
\(228\) | 0 | 0 | ||||||||
\(229\) | −10.7590 | + | 9.02785i | −0.710973 | + | 0.596577i | −0.924872 | − | 0.380279i | \(-0.875828\pi\) |
0.213899 | + | 0.976856i | \(0.431384\pi\) | |||||||
\(230\) | −16.1003 | + | 13.5098i | −1.06162 | + | 0.890809i | ||||
\(231\) | 0 | 0 | ||||||||
\(232\) | 22.0517 | − | 8.02615i | 1.44776 | − | 0.526943i | ||||
\(233\) | 2.66167 | + | 4.61014i | 0.174372 | + | 0.302020i | 0.939944 | − | 0.341330i | \(-0.110877\pi\) |
−0.765572 | + | 0.643350i | \(0.777544\pi\) | |||||||
\(234\) | 0 | 0 | ||||||||
\(235\) | 5.71307 | − | 9.89532i | 0.372679 | − | 0.645499i | ||||
\(236\) | 2.02335 | − | 11.4750i | 0.131709 | − | 0.746960i | ||||
\(237\) | 0 | 0 | ||||||||
\(238\) | −3.39071 | − | 1.23412i | −0.219787 | − | 0.0799959i | ||||
\(239\) | −3.08634 | − | 17.5035i | −0.199639 | − | 1.13221i | −0.905656 | − | 0.424012i | \(-0.860621\pi\) |
0.706018 | − | 0.708194i | \(-0.250490\pi\) | |||||||
\(240\) | 0 | 0 | ||||||||
\(241\) | −1.53729 | − | 1.28994i | −0.0990257 | − | 0.0830924i | 0.591931 | − | 0.805989i | \(-0.298366\pi\) |
−0.690956 | + | 0.722896i | \(0.742810\pi\) | |||||||
\(242\) | 19.8075 | 1.27327 | ||||||||
\(243\) | 0 | 0 | ||||||||
\(244\) | 36.3726 | 2.32852 | ||||||||
\(245\) | −8.64681 | − | 7.25553i | −0.552424 | − | 0.463539i | ||||
\(246\) | 0 | 0 | ||||||||
\(247\) | 3.13290 | + | 17.7676i | 0.199342 | + | 1.13052i | ||||
\(248\) | −38.9128 | − | 14.1631i | −2.47097 | − | 0.899358i | ||||
\(249\) | 0 | 0 | ||||||||
\(250\) | 5.65855 | − | 32.0912i | 0.357878 | − | 2.02963i | ||||
\(251\) | 11.7822 | − | 20.4073i | 0.743683 | − | 1.28810i | −0.207125 | − | 0.978314i | \(-0.566411\pi\) |
0.950808 | − | 0.309782i | \(-0.100256\pi\) | |||||||
\(252\) | 0 | 0 | ||||||||
\(253\) | −4.45473 | − | 7.71582i | −0.280067 | − | 0.485090i | ||||
\(254\) | 5.95913 | − | 2.16895i | 0.373909 | − | 0.136092i | ||||
\(255\) | 0 | 0 | ||||||||
\(256\) | 19.1413 | − | 16.0614i | 1.19633 | − | 1.00384i | ||||
\(257\) | −4.50018 | + | 3.77610i | −0.280713 | + | 0.235547i | −0.772263 | − | 0.635303i | \(-0.780875\pi\) |
0.491549 | + | 0.870850i | \(0.336431\pi\) | |||||||
\(258\) | 0 | 0 | ||||||||
\(259\) | 2.28553 | − | 0.831864i | 0.142016 | − | 0.0516895i | ||||
\(260\) | −13.8390 | − | 23.9698i | −0.858257 | − | 1.48654i | ||||
\(261\) | 0 | 0 | ||||||||
\(262\) | 23.1315 | − | 40.0650i | 1.42907 | − | 2.47522i | ||||
\(263\) | −3.81646 | + | 21.6442i | −0.235333 | + | 1.33464i | 0.606578 | + | 0.795024i | \(0.292542\pi\) |
−0.841911 | + | 0.539617i | \(0.818569\pi\) | |||||||
\(264\) | 0 | 0 | ||||||||
\(265\) | −8.53845 | − | 3.10774i | −0.524513 | − | 0.190907i | ||||
\(266\) | −1.36304 | − | 7.73016i | −0.0835731 | − | 0.473966i | ||||
\(267\) | 0 | 0 | ||||||||
\(268\) | 50.8500 | + | 42.6682i | 3.10616 | + | 2.60638i | ||||
\(269\) | 30.6026 | 1.86587 | 0.932937 | − | 0.360041i | \(-0.117237\pi\) | ||||
0.932937 | + | 0.360041i | \(0.117237\pi\) | |||||||
\(270\) | 0 | 0 | ||||||||
\(271\) | −16.0823 | −0.976928 | −0.488464 | − | 0.872584i | \(-0.662443\pi\) | ||||
−0.488464 | + | 0.872584i | \(0.662443\pi\) | |||||||
\(272\) | −27.8422 | − | 23.3624i | −1.68818 | − | 1.41655i | ||||
\(273\) | 0 | 0 | ||||||||
\(274\) | 6.54200 | + | 37.1015i | 0.395217 | + | 2.24138i | ||||
\(275\) | 3.97018 | + | 1.44503i | 0.239411 | + | 0.0871385i | ||||
\(276\) | 0 | 0 | ||||||||
\(277\) | −3.61424 | + | 20.4974i | −0.217159 | + | 1.23157i | 0.659963 | + | 0.751298i | \(0.270572\pi\) |
−0.877121 | + | 0.480269i | \(0.840539\pi\) | |||||||
\(278\) | 10.7075 | − | 18.5459i | 0.642194 | − | 1.11231i | ||||
\(279\) | 0 | 0 | ||||||||
\(280\) | 3.75631 | + | 6.50612i | 0.224483 | + | 0.388815i | ||||
\(281\) | 11.5209 | − | 4.19326i | 0.687279 | − | 0.250149i | 0.0253092 | − | 0.999680i | \(-0.491943\pi\) |
0.661970 | + | 0.749531i | \(0.269721\pi\) | |||||||
\(282\) | 0 | 0 | ||||||||
\(283\) | 3.50280 | − | 2.93920i | 0.208220 | − | 0.174717i | −0.532714 | − | 0.846295i | \(-0.678828\pi\) |
0.740934 | + | 0.671578i | \(0.234383\pi\) | |||||||
\(284\) | 11.5507 | − | 9.69221i | 0.685409 | − | 0.575127i | ||||
\(285\) | 0 | 0 | ||||||||
\(286\) | 15.1722 | − | 5.52223i | 0.897151 | − | 0.326536i | ||||
\(287\) | −2.89045 | − | 5.00641i | −0.170618 | − | 0.295519i | ||||
\(288\) | 0 | 0 | ||||||||
\(289\) | 4.94976 | − | 8.57324i | 0.291162 | − | 0.504308i | ||||
\(290\) | −2.05432 | + | 11.6506i | −0.120634 | + | 0.684147i | ||||
\(291\) | 0 | 0 | ||||||||
\(292\) | −49.6421 | − | 18.0682i | −2.90508 | − | 1.05736i | ||||
\(293\) | −4.53628 | − | 25.7265i | −0.265013 | − | 1.50296i | −0.769000 | − | 0.639249i | \(-0.779245\pi\) |
0.503987 | − | 0.863711i | \(-0.331866\pi\) | |||||||
\(294\) | 0 | 0 | ||||||||
\(295\) | 2.80734 | + | 2.35564i | 0.163449 | + | 0.137150i | ||||
\(296\) | 43.6004 | 2.53422 | ||||||||
\(297\) | 0 | 0 | ||||||||
\(298\) | 1.96965 | 0.114099 | ||||||||
\(299\) | 11.0770 | + | 9.29469i | 0.640598 | + | 0.537526i | ||||
\(300\) | 0 | 0 | ||||||||
\(301\) | −0.782718 | − | 4.43901i | −0.0451151 | − | 0.255860i | ||||
\(302\) | 11.0373 | + | 4.01724i | 0.635125 | + | 0.231166i | ||||
\(303\) | 0 | 0 | ||||||||
\(304\) | 13.7294 | − | 77.8634i | 0.787436 | − | 4.46577i | ||||
\(305\) | −5.71984 | + | 9.90705i | −0.327517 | + | 0.567276i | ||||
\(306\) | 0 | 0 | ||||||||
\(307\) | −1.64638 | − | 2.85162i | −0.0939641 | − | 0.162751i | 0.815212 | − | 0.579163i | \(-0.196621\pi\) |
−0.909176 | + | 0.416412i | \(0.863287\pi\) | |||||||
\(308\) | −4.79679 | + | 1.74589i | −0.273323 | + | 0.0994813i | ||||
\(309\) | 0 | 0 | ||||||||
\(310\) | 15.9920 | − | 13.4189i | 0.908283 | − | 0.762140i | ||||
\(311\) | −26.6527 | + | 22.3643i | −1.51134 | + | 1.26816i | −0.650229 | + | 0.759738i | \(0.725327\pi\) |
−0.861107 | + | 0.508424i | \(0.830228\pi\) | |||||||
\(312\) | 0 | 0 | ||||||||
\(313\) | −9.98690 | + | 3.63493i | −0.564493 | + | 0.205459i | −0.608474 | − | 0.793574i | \(-0.708218\pi\) |
0.0439812 | + | 0.999032i | \(0.485996\pi\) | |||||||
\(314\) | −20.9957 | − | 36.3657i | −1.18486 | − | 2.05223i | ||||
\(315\) | 0 | 0 | ||||||||
\(316\) | −14.1209 | + | 24.4580i | −0.794360 | + | 1.37587i | ||||
\(317\) | 2.69159 | − | 15.2647i | 0.151175 | − | 0.857353i | −0.811026 | − | 0.585010i | \(-0.801090\pi\) |
0.962200 | − | 0.272343i | \(-0.0877985\pi\) | |||||||
\(318\) | 0 | 0 | ||||||||
\(319\) | −4.71253 | − | 1.71522i | −0.263851 | − | 0.0960339i | ||||
\(320\) | 6.96355 | + | 39.4922i | 0.389274 | + | 2.20768i | ||||
\(321\) | 0 | 0 | ||||||||
\(322\) | −4.81928 | − | 4.04385i | −0.268568 | − | 0.225355i | ||||
\(323\) | −15.4461 | −0.859446 | ||||||||
\(324\) | 0 | 0 | ||||||||
\(325\) | −6.85710 | −0.380363 | ||||||||
\(326\) | −17.6083 | − | 14.7751i | −0.975232 | − | 0.818317i | ||||
\(327\) | 0 | 0 | ||||||||
\(328\) | −17.9951 | − | 102.056i | −0.993616 | − | 5.63508i | ||||
\(329\) | 3.21390 | + | 1.16976i | 0.177188 | + | 0.0644911i | ||||
\(330\) | 0 | 0 | ||||||||
\(331\) | −2.53010 | + | 14.3489i | −0.139067 | + | 0.788688i | 0.832874 | + | 0.553463i | \(0.186694\pi\) |
−0.971941 | + | 0.235225i | \(0.924417\pi\) | |||||||
\(332\) | −7.25330 | + | 12.5631i | −0.398077 | + | 0.689489i | ||||
\(333\) | 0 | 0 | ||||||||
\(334\) | −31.3002 | − | 54.2136i | −1.71267 | − | 2.96644i | ||||
\(335\) | −19.6183 | + | 7.14048i | −1.07186 | + | 0.390126i | ||||
\(336\) | 0 | 0 | ||||||||
\(337\) | −15.7918 | + | 13.2509i | −0.860236 | + | 0.721824i | −0.962019 | − | 0.272983i | \(-0.911990\pi\) |
0.101783 | + | 0.994807i | \(0.467545\pi\) | |||||||
\(338\) | 6.86468 | − | 5.76015i | 0.373389 | − | 0.313311i | ||||
\(339\) | 0 | 0 | ||||||||
\(340\) | 22.2671 | − | 8.10455i | 1.20760 | − | 0.439531i | ||||
\(341\) | 4.42475 | + | 7.66390i | 0.239614 | + | 0.415023i | ||||
\(342\) | 0 | 0 | ||||||||
\(343\) | 3.44142 | − | 5.96071i | 0.185819 | − | 0.321848i | ||||
\(344\) | 14.0312 | − | 79.5748i | 0.756511 | − | 4.29039i | ||||
\(345\) | 0 | 0 | ||||||||
\(346\) | 6.55431 | + | 2.38557i | 0.352362 | + | 0.128249i | ||||
\(347\) | 3.67848 | + | 20.8617i | 0.197471 | + | 1.11992i | 0.908855 | + | 0.417112i | \(0.136958\pi\) |
−0.711384 | + | 0.702804i | \(0.751931\pi\) | |||||||
\(348\) | 0 | 0 | ||||||||
\(349\) | −3.54370 | − | 2.97352i | −0.189690 | − | 0.159169i | 0.542997 | − | 0.839735i | \(-0.317290\pi\) |
−0.732687 | + | 0.680566i | \(0.761734\pi\) | |||||||
\(350\) | 2.98333 | 0.159466 | ||||||||
\(351\) | 0 | 0 | ||||||||
\(352\) | −36.3387 | −1.93686 | ||||||||
\(353\) | 10.4515 | + | 8.76982i | 0.556275 | + | 0.466770i | 0.877059 | − | 0.480382i | \(-0.159502\pi\) |
−0.320784 | + | 0.947152i | \(0.603946\pi\) | |||||||
\(354\) | 0 | 0 | ||||||||
\(355\) | 0.823501 | + | 4.67031i | 0.0437069 | + | 0.247874i | ||||
\(356\) | 56.0574 | + | 20.4032i | 2.97104 | + | 1.08137i | ||||
\(357\) | 0 | 0 | ||||||||
\(358\) | −4.17877 | + | 23.6990i | −0.220855 | + | 1.25253i | ||||
\(359\) | −14.1223 | + | 24.4606i | −0.745349 | + | 1.29098i | 0.204683 | + | 0.978828i | \(0.434384\pi\) |
−0.950032 | + | 0.312153i | \(0.898950\pi\) | |||||||
\(360\) | 0 | 0 | ||||||||
\(361\) | −7.30050 | − | 12.6448i | −0.384237 | − | 0.665517i | ||||
\(362\) | 20.1113 | − | 7.31992i | 1.05703 | − | 0.384726i | ||||
\(363\) | 0 | 0 | ||||||||
\(364\) | 6.34651 | − | 5.32535i | 0.332647 | − | 0.279124i | ||||
\(365\) | 12.7279 | − | 10.6800i | 0.666209 | − | 0.559016i | ||||
\(366\) | 0 | 0 | ||||||||
\(367\) | −32.7767 | + | 11.9297i | −1.71093 | + | 0.622727i | −0.996994 | − | 0.0774850i | \(-0.975311\pi\) |
−0.713935 | + | 0.700212i | \(0.753089\pi\) | |||||||
\(368\) | −31.6842 | − | 54.8786i | −1.65165 | − | 2.86075i | ||||
\(369\) | 0 | 0 | ||||||||
\(370\) | −10.9901 | + | 19.0354i | −0.571348 | + | 0.989604i | ||||
\(371\) | 0.472292 | − | 2.67850i | 0.0245202 | − | 0.139061i | ||||
\(372\) | 0 | 0 | ||||||||
\(373\) | −2.87493 | − | 1.04639i | −0.148858 | − | 0.0541800i | 0.266516 | − | 0.963830i | \(-0.414127\pi\) |
−0.415375 | + | 0.909650i | \(0.636350\pi\) | |||||||
\(374\) | 2.40036 | + | 13.6131i | 0.124120 | + | 0.703918i | ||||
\(375\) | 0 | 0 | ||||||||
\(376\) | 46.9666 | + | 39.4097i | 2.42212 | + | 2.03240i | ||||
\(377\) | 8.13924 | 0.419192 | ||||||||
\(378\) | 0 | 0 | ||||||||
\(379\) | −7.67705 | −0.394344 | −0.197172 | − | 0.980369i | \(-0.563176\pi\) | ||||
−0.197172 | + | 0.980369i | \(0.563176\pi\) | |||||||
\(380\) | 39.4879 | + | 33.1342i | 2.02568 | + | 1.69975i | ||||
\(381\) | 0 | 0 | ||||||||
\(382\) | −7.46746 | − | 42.3500i | −0.382068 | − | 2.16682i | ||||
\(383\) | 9.73704 | + | 3.54399i | 0.497539 | + | 0.181090i | 0.578587 | − | 0.815621i | \(-0.303604\pi\) |
−0.0810475 | + | 0.996710i | \(0.525827\pi\) | |||||||
\(384\) | 0 | 0 | ||||||||
\(385\) | 0.278788 | − | 1.58109i | 0.0142084 | − | 0.0805796i | ||||
\(386\) | −6.20106 | + | 10.7406i | −0.315626 | + | 0.546680i | ||||
\(387\) | 0 | 0 | ||||||||
\(388\) | 18.3161 | + | 31.7244i | 0.929858 | + | 1.61056i | ||||
\(389\) | −0.401203 | + | 0.146026i | −0.0203418 | + | 0.00740381i | −0.352171 | − | 0.935936i | \(-0.614556\pi\) |
0.331829 | + | 0.943339i | \(0.392334\pi\) | |||||||
\(390\) | 0 | 0 | ||||||||
\(391\) | −9.48341 | + | 7.95753i | −0.479597 | + | 0.402429i | ||||
\(392\) | 46.3972 | − | 38.9319i | 2.34341 | − | 1.96636i | ||||
\(393\) | 0 | 0 | ||||||||
\(394\) | −7.61097 | + | 2.77017i | −0.383435 | + | 0.139559i | ||||
\(395\) | −4.44119 | − | 7.69238i | −0.223461 | − | 0.387045i | ||||
\(396\) | 0 | 0 | ||||||||
\(397\) | 13.5445 | − | 23.4598i | 0.679781 | − | 1.17741i | −0.295266 | − | 0.955415i | \(-0.595408\pi\) |
0.975047 | − | 0.221999i | \(-0.0712583\pi\) | |||||||
\(398\) | −6.99357 | + | 39.6625i | −0.350556 | + | 1.98810i | ||||
\(399\) | 0 | 0 | ||||||||
\(400\) | 28.2379 | + | 10.2777i | 1.41189 | + | 0.513887i | ||||
\(401\) | −5.09839 | − | 28.9144i | −0.254602 | − | 1.44392i | −0.797093 | − | 0.603856i | \(-0.793630\pi\) |
0.542492 | − | 0.840061i | \(-0.317481\pi\) | |||||||
\(402\) | 0 | 0 | ||||||||
\(403\) | −11.0024 | − | 9.23214i | −0.548070 | − | 0.459885i | ||||
\(404\) | −19.8319 | −0.986675 | ||||||||
\(405\) | 0 | 0 | ||||||||
\(406\) | −3.54115 | −0.175744 | ||||||||
\(407\) | −7.13767 | − | 5.98922i | −0.353801 | − | 0.296874i | ||||
\(408\) | 0 | 0 | ||||||||
\(409\) | −3.50490 | − | 19.8773i | −0.173306 | − | 0.982869i | −0.940081 | − | 0.340952i | \(-0.889251\pi\) |
0.766774 | − | 0.641917i | \(-0.221860\pi\) | |||||||
\(410\) | 49.0922 | + | 17.8681i | 2.42449 | + | 0.882443i | ||||
\(411\) | 0 | 0 | ||||||||
\(412\) | 7.09208 | − | 40.2212i | 0.349402 | − | 1.98156i | ||||
\(413\) | −0.548476 | + | 0.949988i | −0.0269887 | + | 0.0467459i | ||||
\(414\) | 0 | 0 | ||||||||
\(415\) | −2.28126 | − | 3.95126i | −0.111983 | − | 0.193960i | ||||
\(416\) | 55.4205 | − | 20.1714i | 2.71722 | − | 0.988986i | ||||
\(417\) | 0 | 0 | ||||||||
\(418\) | −23.0352 | + | 19.3289i | −1.12669 | + | 0.945405i | ||||
\(419\) | −18.6688 | + | 15.6649i | −0.912028 | + | 0.765282i | −0.972504 | − | 0.232887i | \(-0.925183\pi\) |
0.0604756 | + | 0.998170i | \(0.480738\pi\) | |||||||
\(420\) | 0 | 0 | ||||||||
\(421\) | 24.5960 | − | 8.95222i | 1.19874 | − | 0.436305i | 0.335954 | − | 0.941879i | \(-0.390941\pi\) |
0.862783 | + | 0.505574i | \(0.168719\pi\) | |||||||
\(422\) | 18.7717 | + | 32.5136i | 0.913794 | + | 1.58274i | ||||
\(423\) | 0 | 0 | ||||||||
\(424\) | 24.3781 | − | 42.2240i | 1.18390 | − | 2.05058i | ||||
\(425\) | 1.01942 | − | 5.78143i | 0.0494492 | − | 0.280440i | ||||
\(426\) | 0 | 0 | ||||||||
\(427\) | −3.21771 | − | 1.17115i | −0.155716 | − | 0.0566759i | ||||
\(428\) | 9.94059 | + | 56.3759i | 0.480497 | + | 2.72503i | ||||
\(429\) | 0 | 0 | ||||||||
\(430\) | 31.2047 | + | 26.1838i | 1.50482 | + | 1.26270i | ||||
\(431\) | −31.9185 | −1.53746 | −0.768731 | − | 0.639572i | \(-0.779111\pi\) | ||||
−0.768731 | + | 0.639572i | \(0.779111\pi\) | |||||||
\(432\) | 0 | 0 | ||||||||
\(433\) | 0.0123080 | 0.000591484 | 0.000295742 | − | 1.00000i | \(-0.499906\pi\) | ||||
0.000295742 | 1.00000i | \(0.499906\pi\) | ||||||||
\(434\) | 4.78684 | + | 4.01664i | 0.229776 | + | 0.192805i | ||||
\(435\) | 0 | 0 | ||||||||
\(436\) | 11.2925 | + | 64.0427i | 0.540810 | + | 3.06709i | ||||
\(437\) | −25.3063 | − | 9.21074i | −1.21056 | − | 0.440610i | ||||
\(438\) | 0 | 0 | ||||||||
\(439\) | 0.921170 | − | 5.22421i | 0.0439650 | − | 0.249338i | −0.954902 | − | 0.296920i | \(-0.904040\pi\) |
0.998867 | + | 0.0475821i | \(0.0151516\pi\) | |||||||
\(440\) | 14.3901 | − | 24.9244i | 0.686020 | − | 1.18822i | ||||
\(441\) | 0 | 0 | ||||||||
\(442\) | −11.2174 | − | 19.4291i | −0.533557 | − | 0.924147i | ||||
\(443\) | 38.2420 | − | 13.9190i | 1.81693 | − | 0.661310i | 0.821031 | − | 0.570883i | \(-0.193399\pi\) |
0.995903 | − | 0.0904272i | \(-0.0288232\pi\) | |||||||
\(444\) | 0 | 0 | ||||||||
\(445\) | −14.3728 | + | 12.0602i | −0.681334 | + | 0.571707i | ||||
\(446\) | 14.1158 | − | 11.8445i | 0.668402 | − | 0.560856i | ||||
\(447\) | 0 | 0 | ||||||||
\(448\) | −11.2796 | + | 4.10543i | −0.532910 | + | 0.193963i | ||||
\(449\) | 7.71401 | + | 13.3611i | 0.364047 | + | 0.630547i | 0.988623 | − | 0.150417i | \(-0.0480615\pi\) |
−0.624576 | + | 0.780964i | \(0.714728\pi\) | |||||||
\(450\) | 0 | 0 | ||||||||
\(451\) | −11.0731 | + | 19.1791i | −0.521410 | + | 0.903109i | ||||
\(452\) | 1.79495 | − | 10.1797i | 0.0844274 | − | 0.478811i | ||||
\(453\) | 0 | 0 | ||||||||
\(454\) | 24.7605 | + | 9.01210i | 1.16207 | + | 0.422959i | ||||
\(455\) | 0.452470 | + | 2.56609i | 0.0212121 | + | 0.120300i | ||||
\(456\) | 0 | 0 | ||||||||
\(457\) | 1.82989 | + | 1.53546i | 0.0855985 | + | 0.0718256i | 0.684583 | − | 0.728935i | \(-0.259984\pi\) |
−0.598984 | + | 0.800761i | \(0.704429\pi\) | |||||||
\(458\) | 37.9922 | 1.77526 | ||||||||
\(459\) | 0 | 0 | ||||||||
\(460\) | 41.3143 | 1.92629 | ||||||||
\(461\) | −24.8841 | − | 20.8802i | −1.15897 | − | 0.972489i | −0.159076 | − | 0.987266i | \(-0.550852\pi\) |
−0.999891 | + | 0.0147772i | \(0.995296\pi\) | |||||||
\(462\) | 0 | 0 | ||||||||
\(463\) | 5.88295 | + | 33.3638i | 0.273404 | + | 1.55055i | 0.743987 | + | 0.668194i | \(0.232932\pi\) |
−0.470584 | + | 0.882355i | \(0.655957\pi\) | |||||||
\(464\) | −33.5178 | − | 12.1995i | −1.55602 | − | 0.566346i | ||||
\(465\) | 0 | 0 | ||||||||
\(466\) | 2.50053 | − | 14.1812i | 0.115835 | − | 0.656931i | ||||
\(467\) | −6.90133 | + | 11.9535i | −0.319356 | + | 0.553140i | −0.980354 | − | 0.197247i | \(-0.936800\pi\) |
0.660998 | + | 0.750388i | \(0.270133\pi\) | |||||||
\(468\) | 0 | 0 | ||||||||
\(469\) | −3.12459 | − | 5.41195i | −0.144280 | − | 0.249901i | ||||
\(470\) | −29.0444 | + | 10.5713i | −1.33972 | + | 0.487618i | ||||
\(471\) | 0 | 0 | ||||||||
\(472\) | −15.0637 | + | 12.6399i | −0.693361 | + | 0.581799i | ||||
\(473\) | −13.2279 | + | 11.0995i | −0.608219 | + | 0.510356i | ||||
\(474\) | 0 | 0 | ||||||||
\(475\) | 12.0006 | − | 4.36785i | 0.550624 | − | 0.200411i | ||||
\(476\) | 3.54645 | + | 6.14264i | 0.162551 | + | 0.281547i | ||||
\(477\) | 0 | 0 | ||||||||
\(478\) | −24.0392 | + | 41.6372i | −1.09953 | + | 1.90444i | ||||
\(479\) | −1.02298 | + | 5.80162i | −0.0467412 | + | 0.265083i | −0.999219 | − | 0.0395270i | \(-0.987415\pi\) |
0.952477 | + | 0.304610i | \(0.0985260\pi\) | |||||||
\(480\) | 0 | 0 | ||||||||
\(481\) | 14.2103 | + | 5.17213i | 0.647935 | + | 0.235829i | ||||
\(482\) | 0.942650 | + | 5.34603i | 0.0429365 | + | 0.243505i | ||||
\(483\) | 0 | 0 | ||||||||
\(484\) | −29.8265 | − | 25.0274i | −1.35575 | − | 1.13761i | ||||
\(485\) | −11.5213 | −0.523155 | ||||||||
\(486\) | 0 | 0 | ||||||||
\(487\) | 29.0299 | 1.31547 | 0.657736 | − | 0.753249i | \(-0.271514\pi\) | ||||
0.657736 | + | 0.753249i | \(0.271514\pi\) | |||||||
\(488\) | −47.0223 | − | 39.4564i | −2.12860 | − | 1.78611i | ||||
\(489\) | 0 | 0 | ||||||||
\(490\) | 5.30212 | + | 30.0698i | 0.239526 | + | 1.35842i | ||||
\(491\) | 4.11915 | + | 1.49925i | 0.185895 | + | 0.0676601i | 0.433290 | − | 0.901254i | \(-0.357353\pi\) |
−0.247396 | + | 0.968915i | \(0.579575\pi\) | |||||||
\(492\) | 0 | 0 | ||||||||
\(493\) | −1.21003 | + | 6.86244i | −0.0544972 | + | 0.309069i | ||||
\(494\) | 24.4019 | − | 42.2654i | 1.09789 | − | 1.90161i | ||||
\(495\) | 0 | 0 | ||||||||
\(496\) | 31.4710 | + | 54.5093i | 1.41309 | + | 2.44754i | ||||
\(497\) | −1.33391 | + | 0.485504i | −0.0598341 | + | 0.0217778i | ||||
\(498\) | 0 | 0 | ||||||||
\(499\) | 27.0747 | − | 22.7184i | 1.21203 | − | 1.01701i | 0.212827 | − | 0.977090i | \(-0.431733\pi\) |
0.999203 | − | 0.0399241i | \(-0.0127116\pi\) | |||||||
\(500\) | −49.0692 | + | 41.1739i | −2.19444 | + | 1.84135i | ||||
\(501\) | 0 | 0 | ||||||||
\(502\) | −59.8988 | + | 21.8014i | −2.67341 | + | 0.973043i | ||||
\(503\) | −4.18829 | − | 7.25434i | −0.186747 | − | 0.323455i | 0.757417 | − | 0.652932i | \(-0.226461\pi\) |
−0.944164 | + | 0.329477i | \(0.893128\pi\) | |||||||
\(504\) | 0 | 0 | ||||||||
\(505\) | 3.11870 | − | 5.40175i | 0.138780 | − | 0.240375i | ||||
\(506\) | −4.18504 | + | 23.7345i | −0.186048 | + | 1.05513i | ||||
\(507\) | 0 | 0 | ||||||||
\(508\) | −11.7139 | − | 4.26352i | −0.519721 | − | 0.189163i | ||||
\(509\) | 0.667325 | + | 3.78459i | 0.0295786 | + | 0.167749i | 0.996019 | − | 0.0891428i | \(-0.0284128\pi\) |
−0.966440 | + | 0.256892i | \(0.917302\pi\) | |||||||
\(510\) | 0 | 0 | ||||||||
\(511\) | 3.80981 | + | 3.19681i | 0.168536 | + | 0.141419i | ||||
\(512\) | −13.6601 | −0.603699 | ||||||||
\(513\) | 0 | 0 | ||||||||
\(514\) | 15.8911 | 0.700925 | ||||||||
\(515\) | 9.84003 | + | 8.25677i | 0.433604 | + | 0.363837i | ||||
\(516\) | 0 | 0 | ||||||||
\(517\) | −2.27519 | − | 12.9033i | −0.100063 | − | 0.567484i | ||||
\(518\) | −6.18250 | − | 2.25025i | −0.271644 | − | 0.0988702i | ||||
\(519\) | 0 | 0 | ||||||||
\(520\) | −8.11109 | + | 46.0003i | −0.355695 | + | 2.01724i | ||||
\(521\) | 9.82615 | − | 17.0194i | 0.430491 | − | 0.745633i | −0.566424 | − | 0.824114i | \(-0.691674\pi\) |
0.996916 | + | 0.0784810i | \(0.0250070\pi\) | |||||||
\(522\) | 0 | 0 | ||||||||
\(523\) | 19.8051 | + | 34.3035i | 0.866018 | + | 1.49999i | 0.866032 | + | 0.499988i | \(0.166662\pi\) |
−1.41543e−5 | 1.00000i | \(0.500005\pi\) | ||||||||
\(524\) | −85.4555 | + | 31.1032i | −3.73314 | + | 1.35875i | ||||
\(525\) | 0 | 0 | ||||||||
\(526\) | 45.5431 | − | 38.2152i | 1.98577 | − | 1.66626i | ||||
\(527\) | 9.41959 | − | 7.90398i | 0.410324 | − | 0.344303i | ||||
\(528\) | 0 | 0 | ||||||||
\(529\) | 1.33052 | − | 0.484268i | 0.0578486 | − | 0.0210552i | ||||
\(530\) | 12.2897 | + | 21.2864i | 0.533830 | + | 0.924620i | ||||
\(531\) | 0 | 0 | ||||||||
\(532\) | −7.71483 | + | 13.3625i | −0.334480 | + | 0.579337i | ||||
\(533\) | 6.24142 | − | 35.3968i | 0.270346 | − | 1.53321i | ||||
\(534\) | 0 | 0 | ||||||||
\(535\) | −16.9187 | − | 6.15790i | −0.731459 | − | 0.266229i | ||||
\(536\) | −19.4528 | − | 110.322i | −0.840233 | − | 4.76520i | ||||
\(537\) | 0 | 0 | ||||||||
\(538\) | −63.4147 | − | 53.2112i | −2.73400 | − | 2.29410i | ||||
\(539\) | −12.9435 | −0.557514 | ||||||||
\(540\) | 0 | 0 | ||||||||
\(541\) | −41.8257 | −1.79823 | −0.899115 | − | 0.437713i | \(-0.855788\pi\) | ||||
−0.899115 | + | 0.437713i | \(0.855788\pi\) | |||||||
\(542\) | 33.3257 | + | 27.9636i | 1.43146 | + | 1.20114i | ||||
\(543\) | 0 | 0 | ||||||||
\(544\) | 8.76796 | + | 49.7256i | 0.375923 | + | 2.13197i | ||||
\(545\) | −19.2195 | − | 6.99533i | −0.823274 | − | 0.299647i | ||||
\(546\) | 0 | 0 | ||||||||
\(547\) | −2.95798 | + | 16.7755i | −0.126474 | + | 0.717270i | 0.853947 | + | 0.520359i | \(0.174202\pi\) |
−0.980421 | + | 0.196911i | \(0.936909\pi\) | |||||||
\(548\) | 37.0280 | − | 64.1343i | 1.58176 | − | 2.73968i | ||||
\(549\) | 0 | 0 | ||||||||
\(550\) | −5.71442 | − | 9.89767i | −0.243664 | − | 0.422038i | ||||
\(551\) | −14.2444 | + | 5.18455i | −0.606833 | + | 0.220869i | ||||
\(552\) | 0 | 0 | ||||||||
\(553\) | 2.03672 | − | 1.70901i | 0.0866100 | − | 0.0726744i | ||||
\(554\) | 43.1299 | − | 36.1903i | 1.83241 | − | 1.53758i | ||||
\(555\) | 0 | 0 | ||||||||
\(556\) | −39.5570 | + | 14.3976i | −1.67759 | + | 0.610594i | ||||
\(557\) | −16.8840 | − | 29.2439i | −0.715398 | − | 1.23911i | −0.962806 | − | 0.270194i | \(-0.912912\pi\) |
0.247408 | − | 0.968911i | \(-0.420421\pi\) | |||||||
\(558\) | 0 | 0 | ||||||||
\(559\) | 14.0127 | − | 24.2707i | 0.592674 | − | 1.02654i | ||||
\(560\) | 1.98288 | − | 11.2454i | 0.0837918 | − | 0.475207i | ||||
\(561\) | 0 | 0 | ||||||||
\(562\) | −31.1648 | − | 11.3430i | −1.31461 | − | 0.478477i | ||||
\(563\) | 3.94377 | + | 22.3662i | 0.166210 | + | 0.942624i | 0.947808 | + | 0.318842i | \(0.103294\pi\) |
−0.781598 | + | 0.623783i | \(0.785595\pi\) | |||||||
\(564\) | 0 | 0 | ||||||||
\(565\) | 2.49043 | + | 2.08972i | 0.104773 | + | 0.0879153i | ||||
\(566\) | −12.3691 | −0.519913 | ||||||||
\(567\) | 0 | 0 | ||||||||
\(568\) | −25.4466 | −1.06772 | ||||||||
\(569\) | −8.32801 | − | 6.98803i | −0.349128 | − | 0.292954i | 0.451312 | − | 0.892366i | \(-0.350956\pi\) |
−0.800440 | + | 0.599413i | \(0.795401\pi\) | |||||||
\(570\) | 0 | 0 | ||||||||
\(571\) | 2.58453 | + | 14.6576i | 0.108159 | + | 0.613401i | 0.989911 | + | 0.141688i | \(0.0452530\pi\) |
−0.881752 | + | 0.471713i | \(0.843636\pi\) | |||||||
\(572\) | −29.8242 | − | 10.8551i | −1.24701 | − | 0.453875i | ||||
\(573\) | 0 | 0 | ||||||||
\(574\) | −2.71546 | + | 15.4002i | −0.113341 | + | 0.642790i | ||||
\(575\) | 5.11772 | − | 8.86416i | 0.213424 | − | 0.369661i | ||||
\(576\) | 0 | 0 | ||||||||
\(577\) | 18.5582 | + | 32.1437i | 0.772586 | + | 1.33816i | 0.936141 | + | 0.351624i | \(0.114371\pi\) |
−0.163555 | + | 0.986534i | \(0.552296\pi\) | |||||||
\(578\) | −25.1639 | + | 9.15891i | −1.04668 | + | 0.380960i | ||||
\(579\) | 0 | 0 | ||||||||
\(580\) | 17.8144 | − | 14.9480i | 0.739702 | − | 0.620684i | ||||
\(581\) | 1.04618 | − | 0.877847i | 0.0434028 | − | 0.0364192i | ||||
\(582\) | 0 | 0 | ||||||||
\(583\) | −9.79101 | + | 3.56364i | −0.405502 | + | 0.147591i | ||||
\(584\) | 44.5768 | + | 77.2093i | 1.84460 | + | 3.19494i | ||||
\(585\) | 0 | 0 | ||||||||
\(586\) | −35.3328 | + | 61.1981i | −1.45958 | + | 2.52807i | ||||
\(587\) | −2.54277 | + | 14.4208i | −0.104951 | + | 0.595208i | 0.886288 | + | 0.463134i | \(0.153275\pi\) |
−0.991240 | + | 0.132075i | \(0.957836\pi\) | |||||||
\(588\) | 0 | 0 | ||||||||
\(589\) | 25.1360 | + | 9.14876i | 1.03571 | + | 0.376968i | ||||
\(590\) | −1.72143 | − | 9.76269i | −0.0708700 | − | 0.401924i | ||||
\(591\) | 0 | 0 | ||||||||
\(592\) | −50.7665 | − | 42.5982i | −2.08649 | − | 1.75077i | ||||
\(593\) | 36.4392 | 1.49638 | 0.748189 | − | 0.663485i | \(-0.230924\pi\) | ||||
0.748189 | + | 0.663485i | \(0.230924\pi\) | |||||||
\(594\) | 0 | 0 | ||||||||
\(595\) | −2.23081 | −0.0914544 | ||||||||
\(596\) | −2.96594 | − | 2.48872i | −0.121490 | − | 0.101942i | ||||
\(597\) | 0 | 0 | ||||||||
\(598\) | −6.79227 | − | 38.5209i | −0.277757 | − | 1.57524i | ||||
\(599\) | −25.8368 | − | 9.40381i | −1.05566 | − | 0.384229i | −0.244864 | − | 0.969557i | \(-0.578743\pi\) |
−0.810797 | + | 0.585328i | \(0.800966\pi\) | |||||||
\(600\) | 0 | 0 | ||||||||
\(601\) | 7.84490 | − | 44.4907i | 0.320000 | − | 1.81481i | −0.222702 | − | 0.974887i | \(-0.571488\pi\) |
0.542702 | − | 0.839925i | \(-0.317401\pi\) | |||||||
\(602\) | −6.09653 | + | 10.5595i | −0.248476 | + | 0.430373i | ||||
\(603\) | 0 | 0 | ||||||||
\(604\) | −11.5443 | − | 19.9953i | −0.469729 | − | 0.813595i | ||||
\(605\) | 11.5073 | − | 4.18831i | 0.467838 | − | 0.170279i | ||||
\(606\) | 0 | 0 | ||||||||
\(607\) | 13.1278 | − | 11.0156i | 0.532842 | − | 0.447108i | −0.336239 | − | 0.941777i | \(-0.609155\pi\) |
0.869082 | + | 0.494669i | \(0.164711\pi\) | |||||||
\(608\) | −84.1424 | + | 70.6038i | −3.41242 | + | 2.86336i | ||||
\(609\) | 0 | 0 | ||||||||
\(610\) | 29.0788 | − | 10.5838i | 1.17737 | − | 0.428527i | ||||
\(611\) | 10.6324 | + | 18.4159i | 0.430143 | + | 0.745029i | ||||
\(612\) | 0 | 0 | ||||||||
\(613\) | 0.234380 | − | 0.405959i | 0.00946653 | − | 0.0163965i | −0.861253 | − | 0.508176i | \(-0.830320\pi\) |
0.870720 | + | 0.491779i | \(0.163653\pi\) | |||||||
\(614\) | −1.54671 | + | 8.77183i | −0.0624202 | + | 0.354002i | ||||
\(615\) | 0 | 0 | ||||||||
\(616\) | 8.09517 | + | 2.94640i | 0.326164 | + | 0.118714i | ||||
\(617\) | −0.370713 | − | 2.10242i | −0.0149243 | − | 0.0846401i | 0.976436 | − | 0.215808i | \(-0.0692385\pi\) |
−0.991360 | + | 0.131168i | \(0.958127\pi\) | |||||||
\(618\) | 0 | 0 | ||||||||
\(619\) | 6.54018 | + | 5.48786i | 0.262872 | + | 0.220576i | 0.764692 | − | 0.644397i | \(-0.222891\pi\) |
−0.501819 | + | 0.864972i | \(0.667336\pi\) | |||||||
\(620\) | −41.0363 | −1.64806 | ||||||||
\(621\) | 0 | 0 | ||||||||
\(622\) | 94.1163 | 3.77372 | ||||||||
\(623\) | −4.30217 | − | 3.60995i | −0.172363 | − | 0.144629i | ||||
\(624\) | 0 | 0 | ||||||||
\(625\) | −1.58551 | − | 8.99186i | −0.0634203 | − | 0.359674i | ||||
\(626\) | 27.0152 | + | 9.83273i | 1.07974 | + | 0.392995i | ||||
\(627\) | 0 | 0 | ||||||||
\(628\) | −14.3334 | + | 81.2890i | −0.571967 | + | 3.24378i | ||||
\(629\) | −6.47339 | + | 11.2122i | −0.258111 | + | 0.447061i | ||||
\(630\) | 0 | 0 | ||||||||
\(631\) | 5.93539 | + | 10.2804i | 0.236284 | + | 0.409256i | 0.959645 | − | 0.281214i | \(-0.0907370\pi\) |
−0.723361 | + | 0.690470i | \(0.757404\pi\) | |||||||
\(632\) | 44.7870 | − | 16.3011i | 1.78153 | − | 0.648424i | ||||
\(633\) | 0 | 0 | ||||||||
\(634\) | −32.1196 | + | 26.9515i | −1.27563 | + | 1.07038i | ||||
\(635\) | 3.00337 | − | 2.52013i | 0.119185 | − | 0.100008i | ||||
\(636\) | 0 | 0 | ||||||||
\(637\) | 19.7402 | − | 7.18485i | 0.782136 | − | 0.284674i | ||||
\(638\) | 6.78291 | + | 11.7483i | 0.268538 | + | 0.465121i | ||||
\(639\) | 0 | 0 | ||||||||
\(640\) | 22.5486 | − | 39.0554i | 0.891313 | − | 1.54380i | ||||
\(641\) | 0.920970 | − | 5.22308i | 0.0363761 | − | 0.206299i | −0.961203 | − | 0.275843i | \(-0.911043\pi\) |
0.997579 | + | 0.0695434i | \(0.0221542\pi\) | |||||||
\(642\) | 0 | 0 | ||||||||
\(643\) | 0.774183 | + | 0.281780i | 0.0305308 | + | 0.0111123i | 0.357240 | − | 0.934012i | \(-0.383718\pi\) |
−0.326710 | + | 0.945125i | \(0.605940\pi\) | |||||||
\(644\) | 2.14742 | + | 12.1786i | 0.0846203 | + | 0.479906i | ||||
\(645\) | 0 | 0 | ||||||||
\(646\) | 32.0075 | + | 26.8575i | 1.25932 | + | 1.05669i | ||||
\(647\) | −40.8373 | −1.60548 | −0.802740 | − | 0.596329i | \(-0.796626\pi\) | ||||
−0.802740 | + | 0.596329i | \(0.796626\pi\) | |||||||
\(648\) | 0 | 0 | ||||||||
\(649\) | 4.20232 | 0.164955 | ||||||||
\(650\) | 14.2093 | + | 11.9230i | 0.557334 | + | 0.467658i | ||||
\(651\) | 0 | 0 | ||||||||
\(652\) | 7.84608 | + | 44.4973i | 0.307276 | + | 1.74265i | ||||
\(653\) | −1.00487 | − | 0.365742i | −0.0393235 | − | 0.0143126i | 0.322284 | − | 0.946643i | \(-0.395550\pi\) |
−0.361607 | + | 0.932331i | \(0.617772\pi\) | |||||||
\(654\) | 0 | 0 | ||||||||
\(655\) | 4.96665 | − | 28.1672i | 0.194063 | − | 1.10059i | ||||
\(656\) | −78.7569 | + | 136.411i | −3.07494 | + | 5.32595i | ||||
\(657\) | 0 | 0 | ||||||||
\(658\) | −4.62587 | − | 8.01225i | −0.180335 | − | 0.312350i | ||||
\(659\) | 26.9356 | − | 9.80376i | 1.04926 | − | 0.381900i | 0.240878 | − | 0.970555i | \(-0.422565\pi\) |
0.808384 | + | 0.588655i | \(0.200342\pi\) | |||||||
\(660\) | 0 | 0 | ||||||||
\(661\) | −3.44392 | + | 2.88979i | −0.133953 | + | 0.112400i | −0.707303 | − | 0.706911i | \(-0.750088\pi\) |
0.573350 | + | 0.819311i | \(0.305644\pi\) | |||||||
\(662\) | 30.1925 | − | 25.3345i | 1.17347 | − | 0.984655i | ||||
\(663\) | 0 | 0 | ||||||||
\(664\) | 23.0052 | − | 8.37322i | 0.892776 | − | 0.324944i | ||||
\(665\) | −2.42642 | − | 4.20268i | −0.0940924 | − | 0.162973i | ||||
\(666\) | 0 | 0 | ||||||||
\(667\) | −6.07464 | + | 10.5216i | −0.235211 | + | 0.407397i | ||||
\(668\) | −21.3682 | + | 121.185i | −0.826759 | + | 4.68879i | ||||
\(669\) | 0 | 0 | ||||||||
\(670\) | 53.0688 | + | 19.3155i | 2.05023 | + | 0.746222i | ||||
\(671\) | 2.27789 | + | 12.9185i | 0.0879369 | + | 0.498715i | ||||
\(672\) | 0 | 0 | ||||||||
\(673\) | 13.8337 | + | 11.6078i | 0.533249 | + | 0.447449i | 0.869222 | − | 0.494423i | \(-0.164621\pi\) |
−0.335973 | + | 0.941872i | \(0.609065\pi\) | |||||||
\(674\) | 55.7643 | 2.14796 | ||||||||
\(675\) | 0 | 0 | ||||||||
\(676\) | −17.6151 | −0.677505 | ||||||||
\(677\) | 12.0569 | + | 10.1169i | 0.463385 | + | 0.388826i | 0.844375 | − | 0.535753i | \(-0.179972\pi\) |
−0.380990 | + | 0.924579i | \(0.624417\pi\) | |||||||
\(678\) | 0 | 0 | ||||||||
\(679\) | −0.598851 | − | 3.39625i | −0.0229818 | − | 0.130336i | ||||
\(680\) | −37.5784 | − | 13.6774i | −1.44107 | − | 0.524505i | ||||
\(681\) | 0 | 0 | ||||||||
\(682\) | 4.15688 | − | 23.5748i | 0.159175 | − | 0.902726i | ||||
\(683\) | 1.38059 | − | 2.39125i | 0.0528268 | − | 0.0914987i | −0.838403 | − | 0.545051i | \(-0.816510\pi\) |
0.891230 | + | 0.453552i | \(0.149844\pi\) | |||||||
\(684\) | 0 | 0 | ||||||||
\(685\) | 11.6458 | + | 20.1711i | 0.444963 | + | 0.770698i | ||||
\(686\) | −17.4957 | + | 6.36790i | −0.667988 | + | 0.243128i | ||||
\(687\) | 0 | 0 | ||||||||
\(688\) | −94.0831 | + | 78.9451i | −3.58688 | + | 3.00975i | ||||
\(689\) | 12.9542 | − | 10.8699i | 0.493516 | − | 0.414109i | ||||
\(690\) | 0 | 0 | ||||||||
\(691\) | 32.4434 | − | 11.8084i | 1.23421 | − | 0.449214i | 0.359169 | − | 0.933272i | \(-0.383060\pi\) |
0.875036 | + | 0.484058i | \(0.160838\pi\) | |||||||
\(692\) | −6.85537 | − | 11.8738i | −0.260602 | − | 0.451376i | ||||
\(693\) | 0 | 0 | ||||||||
\(694\) | 28.6514 | − | 49.6257i | 1.08759 | − | 1.88377i | ||||
\(695\) | 2.29904 | − | 13.0385i | 0.0872077 | − | 0.494579i | ||||
\(696\) | 0 | 0 | ||||||||
\(697\) | 28.9163 | + | 10.5247i | 1.09528 | + | 0.398650i | ||||
\(698\) | 2.17296 | + | 12.3234i | 0.0822476 | + | 0.466449i | ||||
\(699\) | 0 | 0 | ||||||||
\(700\) | −4.49236 | − | 3.76954i | −0.169795 | − | 0.142475i | ||||
\(701\) | −20.7410 | −0.783378 | −0.391689 | − | 0.920098i | \(-0.628109\pi\) | ||||
−0.391689 | + | 0.920098i | \(0.628109\pi\) | |||||||
\(702\) | 0 | 0 | ||||||||
\(703\) | −28.1640 | −1.06222 | ||||||||
\(704\) | 35.2260 | + | 29.5581i | 1.32763 | + | 1.11401i | ||||
\(705\) | 0 | 0 | ||||||||
\(706\) | −6.40871 | − | 36.3456i | −0.241195 | − | 1.36789i | ||||
\(707\) | 1.75443 | + | 0.638561i | 0.0659822 | + | 0.0240156i | ||||
\(708\) | 0 | 0 | ||||||||
\(709\) | 4.81129 | − | 27.2862i | 0.180692 | − | 1.02475i | −0.750675 | − | 0.660672i | \(-0.770271\pi\) |
0.931367 | − | 0.364083i | \(-0.118617\pi\) | |||||||
\(710\) | 6.41419 | − | 11.1097i | 0.240720 | − | 0.416940i | ||||
\(711\) | 0 | 0 | ||||||||
\(712\) | −50.3376 | − | 87.1873i | −1.88648 | − | 3.26748i | ||||
\(713\) | 20.1459 | − | 7.33252i | 0.754471 | − | 0.274605i | ||||
\(714\) | 0 | 0 | ||||||||
\(715\) | 7.64672 | − | 6.41636i | 0.285971 | − | 0.239958i | ||||
\(716\) | 36.2370 | − | 30.4065i | 1.35424 | − | 1.13634i | ||||
\(717\) | 0 | 0 | ||||||||
\(718\) | 71.7960 | − | 26.1316i | 2.67940 | − | 0.975223i | ||||
\(719\) | −16.5657 | − | 28.6927i | −0.617797 | − | 1.07006i | −0.989887 | − | 0.141859i | \(-0.954692\pi\) |
0.372090 | − | 0.928197i | \(-0.378641\pi\) | |||||||
\(720\) | 0 | 0 | ||||||||
\(721\) | −1.92247 | + | 3.32981i | −0.0715965 | + | 0.124009i | ||||
\(722\) | −6.85852 | + | 38.8966i | −0.255248 | + | 1.44758i | ||||
\(723\) | 0 | 0 | ||||||||
\(724\) | −39.5330 | − | 14.3888i | −1.46923 | − | 0.534757i | ||||
\(725\) | −1.00045 | − | 5.67381i | −0.0371556 | − | 0.210720i | ||||
\(726\) | 0 | 0 | ||||||||
\(727\) | −0.0632795 | − | 0.0530978i | −0.00234691 | − | 0.00196929i | 0.641613 | − | 0.767028i | \(-0.278265\pi\) |
−0.643960 | + | 0.765059i | \(0.722710\pi\) | |||||||
\(728\) | −13.9816 | −0.518191 | ||||||||
\(729\) | 0 | 0 | ||||||||
\(730\) | −44.9449 | −1.66349 | ||||||||
\(731\) | 18.3802 | + | 15.4228i | 0.679815 | + | 0.570433i | ||||
\(732\) | 0 | 0 | ||||||||
\(733\) | −5.54241 | − | 31.4326i | −0.204714 | − | 1.16099i | −0.897890 | − | 0.440221i | \(-0.854900\pi\) |
0.693176 | − | 0.720768i | \(-0.256211\pi\) | |||||||
\(734\) | 88.6630 | + | 32.2707i | 3.27261 | + | 1.19113i | ||||
\(735\) | 0 | 0 | ||||||||
\(736\) | −15.2870 | + | 86.6968i | −0.563486 | + | 3.19569i | ||||
\(737\) | −11.9700 | + | 20.7327i | −0.440921 | + | 0.763698i | ||||
\(738\) | 0 | 0 | ||||||||
\(739\) | 17.8960 | + | 30.9967i | 0.658314 | + | 1.14023i | 0.981052 | + | 0.193745i | \(0.0620634\pi\) |
−0.322738 | + | 0.946488i | \(0.604603\pi\) | |||||||
\(740\) | 40.6010 | − | 14.7776i | 1.49252 | − | 0.543234i | ||||
\(741\) | 0 | 0 | ||||||||
\(742\) | −5.63601 | + | 4.72917i | −0.206904 | + | 0.173613i | ||||
\(743\) | 15.1515 | − | 12.7136i | 0.555854 | − | 0.466417i | −0.321063 | − | 0.947058i | \(-0.604040\pi\) |
0.876918 | + | 0.480640i | \(0.159596\pi\) | |||||||
\(744\) | 0 | 0 | ||||||||
\(745\) | 1.14428 | − | 0.416485i | 0.0419233 | − | 0.0152588i | ||||
\(746\) | 4.13799 | + | 7.16721i | 0.151503 | + | 0.262410i | ||||
\(747\) | 0 | 0 | ||||||||
\(748\) | 13.5861 | − | 23.5319i | 0.496758 | − | 0.860411i | ||||
\(749\) | 0.935832 | − | 5.30737i | 0.0341946 | − | 0.193927i | ||||
\(750\) | 0 | 0 | ||||||||
\(751\) | −28.7363 | − | 10.4592i | −1.04860 | − | 0.381660i | −0.240468 | − | 0.970657i | \(-0.577301\pi\) |
−0.808135 | + | 0.588997i | \(0.799523\pi\) | |||||||
\(752\) | −16.1823 | − | 91.7741i | −0.590106 | − | 3.34666i | ||||
\(753\) | 0 | 0 | ||||||||
\(754\) | −16.8661 | − | 14.1524i | −0.614228 | − | 0.515399i | ||||
\(755\) | 7.26165 | 0.264278 | ||||||||
\(756\) | 0 | 0 | ||||||||
\(757\) | 25.4129 | 0.923647 | 0.461824 | − | 0.886972i | \(-0.347195\pi\) | ||||
0.461824 | + | 0.886972i | \(0.347195\pi\) | |||||||
\(758\) | 15.9084 | + | 13.3487i | 0.577819 | + | 0.484847i | ||||
\(759\) | 0 | 0 | ||||||||
\(760\) | −15.1062 | − | 85.6714i | −0.547959 | − | 3.10763i | ||||
\(761\) | −43.9945 | − | 16.0127i | −1.59480 | − | 0.580460i | −0.616445 | − | 0.787398i | \(-0.711428\pi\) |
−0.978354 | + | 0.206938i | \(0.933650\pi\) | |||||||
\(762\) | 0 | 0 | ||||||||
\(763\) | 1.06310 | − | 6.02914i | 0.0384868 | − | 0.218269i | ||||
\(764\) | −42.2661 | + | 73.2070i | −1.52913 | + | 2.64854i | ||||
\(765\) | 0 | 0 | ||||||||
\(766\) | −14.0149 | − | 24.2744i | −0.506377 | − | 0.877071i | ||||
\(767\) | −6.40900 | + | 2.33269i | −0.231416 | + | 0.0842284i | ||||
\(768\) | 0 | 0 | ||||||||
\(769\) | 11.1578 | − | 9.36247i | 0.402359 | − | 0.337619i | −0.419046 | − | 0.907965i | \(-0.637635\pi\) |
0.821405 | + | 0.570346i | \(0.193191\pi\) | |||||||
\(770\) | −3.32687 | + | 2.79158i | −0.119892 | + | 0.100601i | ||||
\(771\) | 0 | 0 | ||||||||
\(772\) | 22.9088 | − | 8.33811i | 0.824504 | − | 0.300095i | ||||
\(773\) | 12.1767 | + | 21.0906i | 0.437964 | + | 0.758576i | 0.997532 | − | 0.0702080i | \(-0.0223663\pi\) |
−0.559568 | + | 0.828784i | \(0.689033\pi\) | |||||||
\(774\) | 0 | 0 | ||||||||
\(775\) | −5.08328 | + | 8.80451i | −0.182597 | + | 0.316267i | ||||
\(776\) | 10.7351 | − | 60.8820i | 0.385369 | − | 2.18554i | ||||
\(777\) | 0 | 0 | ||||||||
\(778\) | 1.08528 | + | 0.395009i | 0.0389092 | + | 0.0141618i | ||||
\(779\) | 11.6241 | + | 65.9235i | 0.416476 | + | 2.36196i | ||||
\(780\) | 0 |