Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [429,2,Mod(116,429)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(429, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([5, 9, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("429.116");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 429 = 3 \cdot 11 \cdot 13 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 429.y (of order \(10\), degree \(4\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(3.42558224671\) |
Analytic rank: | \(0\) |
Dimension: | \(176\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{10})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 116.19 | ||
Character | \(\chi\) | \(=\) | 429.116 |
Dual form | 429.2.y.b.233.19 |
$q$-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 \(\left(\mathbb{Z}/429\mathbb{Z}\right)^\times\).
\(n\) | \(67\) | \(79\) | \(287\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{9}{10}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.473784 | + | 0.153942i | −0.335016 | + | 0.108853i | −0.471694 | − | 0.881762i | \(-0.656357\pi\) |
0.136678 | + | 0.990616i | \(0.456357\pi\) | |||||||
\(3\) | 0.663585 | + | 1.59989i | 0.383121 | + | 0.923698i | ||||
\(4\) | −1.41726 | + | 1.02970i | −0.708630 | + | 0.514850i | ||||
\(5\) | 0.269770 | − | 0.830268i | 0.120645 | − | 0.371307i | −0.872437 | − | 0.488726i | \(-0.837462\pi\) |
0.993083 | + | 0.117418i | \(0.0374619\pi\) | |||||||
\(6\) | −0.560687 | − | 0.655850i | −0.228899 | − | 0.267750i | ||||
\(7\) | −3.14053 | + | 2.28173i | −1.18701 | + | 0.862413i | −0.992945 | − | 0.118575i | \(-0.962167\pi\) |
−0.194065 | + | 0.980989i | \(0.562167\pi\) | |||||||
\(8\) | 1.09859 | − | 1.51208i | 0.388411 | − | 0.534601i | ||||
\(9\) | −2.11931 | + | 2.12333i | −0.706436 | + | 0.707777i | ||||
\(10\) | 0.434897i | 0.137527i | ||||||||
\(11\) | −0.601650 | − | 3.26160i | −0.181404 | − | 0.983409i | ||||
\(12\) | −2.58788 | − | 1.58417i | −0.747057 | − | 0.457310i | ||||
\(13\) | −3.39269 | − | 1.22051i | −0.940964 | − | 0.338508i | ||||
\(14\) | 1.13668 | − | 1.56451i | 0.303791 | − | 0.418132i | ||||
\(15\) | 1.50736 | − | 0.119350i | 0.389197 | − | 0.0308161i | ||||
\(16\) | 0.794968 | − | 2.44666i | 0.198742 | − | 0.611665i | ||||
\(17\) | −0.569262 | + | 1.75201i | −0.138066 | + | 0.424924i | −0.996054 | − | 0.0887453i | \(-0.971714\pi\) |
0.857988 | + | 0.513670i | \(0.171714\pi\) | |||||||
\(18\) | 0.677226 | − | 1.33225i | 0.159624 | − | 0.314014i | ||||
\(19\) | 1.56886 | + | 1.13984i | 0.359920 | + | 0.261497i | 0.753019 | − | 0.657999i | \(-0.228597\pi\) |
−0.393099 | + | 0.919496i | \(0.628597\pi\) | |||||||
\(20\) | 0.472592 | + | 1.45449i | 0.105675 | + | 0.325234i | ||||
\(21\) | −5.73454 | − | 3.51039i | −1.25138 | − | 0.766030i | ||||
\(22\) | 0.787149 | + | 1.45267i | 0.167821 | + | 0.309711i | ||||
\(23\) | − | 4.93276i | − | 1.02855i | −0.857625 | − | 0.514275i | \(-0.828061\pi\) | ||
0.857625 | − | 0.514275i | \(-0.171939\pi\) | |||||||
\(24\) | 3.14818 | + | 0.754232i | 0.642619 | + | 0.153957i | ||||
\(25\) | 3.42852 | + | 2.49096i | 0.685703 | + | 0.498193i | ||||
\(26\) | 1.79529 | + | 0.0559796i | 0.352086 | + | 0.0109785i | ||||
\(27\) | −4.80344 | − | 1.98165i | −0.924423 | − | 0.381369i | ||||
\(28\) | 2.10146 | − | 6.46762i | 0.397138 | − | 1.22226i | ||||
\(29\) | −6.90338 | + | 5.01560i | −1.28193 | + | 0.931373i | −0.999609 | − | 0.0279485i | \(-0.991103\pi\) |
−0.282316 | + | 0.959322i | \(0.591103\pi\) | |||||||
\(30\) | −0.695788 | + | 0.288591i | −0.127033 | + | 0.0526893i | ||||
\(31\) | −1.93495 | + | 0.628704i | −0.347527 | + | 0.112919i | −0.477579 | − | 0.878589i | \(-0.658486\pi\) |
0.130052 | + | 0.991507i | \(0.458486\pi\) | |||||||
\(32\) | 5.01964i | 0.887355i | ||||||||
\(33\) | 4.81896 | − | 3.12692i | 0.838873 | − | 0.544327i | ||||
\(34\) | − | 0.917707i | − | 0.157385i | ||||||
\(35\) | 1.04723 | + | 3.22303i | 0.177013 | + | 0.544791i | ||||
\(36\) | 0.817219 | − | 5.19156i | 0.136203 | − | 0.865261i | ||||
\(37\) | −2.13779 | − | 2.94242i | −0.351451 | − | 0.483731i | 0.596291 | − | 0.802768i | \(-0.296640\pi\) |
−0.947742 | + | 0.319037i | \(0.896640\pi\) | |||||||
\(38\) | −0.918769 | − | 0.298526i | −0.149044 | − | 0.0484273i | ||||
\(39\) | −0.298662 | − | 6.23785i | −0.0478242 | − | 0.998856i | ||||
\(40\) | −0.959066 | − | 1.32004i | −0.151642 | − | 0.208717i | ||||
\(41\) | −3.08517 | + | 4.24637i | −0.481823 | + | 0.663172i | −0.978854 | − | 0.204561i | \(-0.934423\pi\) |
0.497031 | + | 0.867733i | \(0.334423\pi\) | |||||||
\(42\) | 3.25733 | + | 0.780383i | 0.502617 | + | 0.120416i | ||||
\(43\) | 2.50389i | 0.381839i | 0.981606 | + | 0.190920i | \(0.0611469\pi\) | ||||
−0.981606 | + | 0.190920i | \(0.938853\pi\) | |||||||
\(44\) | 4.21116 | + | 4.00301i | 0.634856 | + | 0.603477i | ||||
\(45\) | 1.19121 | + | 2.33241i | 0.177575 | + | 0.347695i | ||||
\(46\) | 0.759358 | + | 2.33706i | 0.111961 | + | 0.344581i | ||||
\(47\) | −8.32016 | − | 6.04495i | −1.21362 | − | 0.881747i | −0.218066 | − | 0.975934i | \(-0.569975\pi\) |
−0.995555 | + | 0.0941870i | \(0.969975\pi\) | |||||||
\(48\) | 4.44192 | − | 0.351705i | 0.641136 | − | 0.0507643i | ||||
\(49\) | 2.49354 | − | 7.67432i | 0.356219 | − | 1.09633i | ||||
\(50\) | −2.00784 | − | 0.652387i | −0.283951 | − | 0.0922614i | ||||
\(51\) | −3.18078 | + | 0.251849i | −0.445398 | + | 0.0352660i | ||||
\(52\) | 6.06509 | − | 1.76368i | 0.841076 | − | 0.244578i | ||||
\(53\) | 9.61042 | − | 3.12261i | 1.32009 | − | 0.428924i | 0.437566 | − | 0.899186i | \(-0.355841\pi\) |
0.882527 | + | 0.470262i | \(0.155841\pi\) | |||||||
\(54\) | 2.58085 | + | 0.199426i | 0.351210 | + | 0.0271384i | ||||
\(55\) | −2.87031 | − | 0.380352i | −0.387032 | − | 0.0512867i | ||||
\(56\) | 7.25543i | 0.969548i | ||||||||
\(57\) | −0.782552 | + | 3.26638i | −0.103652 | + | 0.432643i | ||||
\(58\) | 2.49860 | − | 3.43903i | 0.328082 | − | 0.451567i | ||||
\(59\) | −11.3996 | + | 8.28232i | −1.48411 | + | 1.07827i | −0.507900 | + | 0.861416i | \(0.669578\pi\) |
−0.976205 | + | 0.216850i | \(0.930422\pi\) | |||||||
\(60\) | −2.01342 | + | 1.72127i | −0.259931 | + | 0.222216i | ||||
\(61\) | 4.25651 | + | 1.38303i | 0.544991 | + | 0.177078i | 0.568557 | − | 0.822644i | \(-0.307502\pi\) |
−0.0235659 | + | 0.999722i | \(0.507502\pi\) | |||||||
\(62\) | 0.819965 | − | 0.595740i | 0.104136 | − | 0.0756590i | ||||
\(63\) | 1.81089 | − | 11.5041i | 0.228151 | − | 1.44938i | ||||
\(64\) | 0.817204 | + | 2.51509i | 0.102150 | + | 0.314387i | ||||
\(65\) | −1.92860 | + | 2.48759i | −0.239213 | + | 0.308547i | ||||
\(66\) | −1.80178 | + | 2.22333i | −0.221784 | + | 0.273673i | ||||
\(67\) | 8.03333i | 0.981427i | 0.871321 | + | 0.490714i | \(0.163264\pi\) | ||||
−0.871321 | + | 0.490714i | \(0.836736\pi\) | |||||||
\(68\) | −0.997250 | − | 3.06922i | −0.120934 | − | 0.372198i | ||||
\(69\) | 7.89188 | − | 3.27331i | 0.950070 | − | 0.394060i | ||||
\(70\) | −0.992318 | − | 1.36581i | −0.118605 | − | 0.163245i | ||||
\(71\) | −2.40604 | + | 7.40504i | −0.285545 | + | 0.878817i | 0.700690 | + | 0.713466i | \(0.252876\pi\) |
−0.986235 | + | 0.165351i | \(0.947124\pi\) | |||||||
\(72\) | 0.882394 | + | 5.53724i | 0.103991 | + | 0.652570i | ||||
\(73\) | −11.5779 | + | 8.41181i | −1.35509 | + | 0.984528i | −0.356347 | + | 0.934354i | \(0.615978\pi\) |
−0.998740 | + | 0.0501745i | \(0.984022\pi\) | |||||||
\(74\) | 1.46581 | + | 1.06498i | 0.170398 | + | 0.123801i | ||||
\(75\) | −1.71016 | + | 7.13822i | −0.197472 | + | 0.824251i | ||||
\(76\) | −3.39717 | −0.389682 | ||||||||
\(77\) | 9.33159 | + | 8.87035i | 1.06343 | + | 1.01087i | ||||
\(78\) | 1.10177 | + | 2.90942i | 0.124751 | + | 0.329427i | ||||
\(79\) | −10.0159 | + | 3.25436i | −1.12688 | + | 0.366144i | −0.812388 | − | 0.583117i | \(-0.801833\pi\) |
−0.314488 | + | 0.949261i | \(0.601833\pi\) | |||||||
\(80\) | −1.81693 | − | 1.32007i | −0.203138 | − | 0.147589i | ||||
\(81\) | −0.0170617 | − | 8.99998i | −0.00189574 | − | 0.999998i | ||||
\(82\) | 0.808011 | − | 2.48680i | 0.0892299 | − | 0.274621i | ||||
\(83\) | 0.816545 | + | 0.265312i | 0.0896275 | + | 0.0291217i | 0.353487 | − | 0.935439i | \(-0.384996\pi\) |
−0.263860 | + | 0.964561i | \(0.584996\pi\) | |||||||
\(84\) | 11.7420 | − | 0.929714i | 1.28116 | − | 0.101440i | ||||
\(85\) | 1.30107 | + | 0.945280i | 0.141120 | + | 0.102530i | ||||
\(86\) | −0.385453 | − | 1.18630i | −0.0415644 | − | 0.127922i | ||||
\(87\) | −12.6054 | − | 7.71638i | −1.35144 | − | 0.827283i | ||||
\(88\) | −5.59277 | − | 2.67342i | −0.596191 | − | 0.284987i | ||||
\(89\) | 3.87951 | 0.411227 | 0.205614 | − | 0.978633i | \(-0.434081\pi\) | ||||
0.205614 | + | 0.978633i | \(0.434081\pi\) | |||||||
\(90\) | −0.923430 | − | 0.921681i | −0.0973381 | − | 0.0971537i | ||||
\(91\) | 13.4397 | − | 3.90817i | 1.40887 | − | 0.409688i | ||||
\(92\) | 5.07926 | + | 6.99100i | 0.529549 | + | 0.728862i | ||||
\(93\) | −2.28986 | − | 2.67851i | −0.237448 | − | 0.277749i | ||||
\(94\) | 4.87253 | + | 1.58318i | 0.502563 | + | 0.163293i | ||||
\(95\) | 1.36960 | − | 0.995076i | 0.140518 | − | 0.102093i | ||||
\(96\) | −8.03088 | + | 3.33096i | −0.819648 | + | 0.339965i | ||||
\(97\) | 16.7391 | − | 5.43885i | 1.69959 | − | 0.552232i | 0.711047 | − | 0.703145i | \(-0.248221\pi\) |
0.988547 | + | 0.150913i | \(0.0482214\pi\) | |||||||
\(98\) | 4.01983i | 0.406064i | ||||||||
\(99\) | 8.20053 | + | 5.63483i | 0.824184 | + | 0.566322i | ||||
\(100\) | −7.42404 | −0.742404 | ||||||||
\(101\) | 3.66514 | + | 11.2801i | 0.364695 | + | 1.12242i | 0.950172 | + | 0.311726i | \(0.100907\pi\) |
−0.585477 | + | 0.810689i | \(0.699093\pi\) | |||||||
\(102\) | 1.46823 | − | 0.608977i | 0.145377 | − | 0.0602977i | ||||
\(103\) | 1.06852 | − | 0.776322i | 0.105284 | − | 0.0764933i | −0.533898 | − | 0.845549i | \(-0.679273\pi\) |
0.639182 | + | 0.769056i | \(0.279273\pi\) | |||||||
\(104\) | −5.57269 | + | 3.78919i | −0.546447 | + | 0.371561i | ||||
\(105\) | −4.46158 | + | 3.81420i | −0.435405 | + | 0.372228i | ||||
\(106\) | −4.07256 | + | 2.95889i | −0.395562 | + | 0.287393i | ||||
\(107\) | 9.12727 | + | 6.63135i | 0.882367 | + | 0.641077i | 0.933877 | − | 0.357595i | \(-0.116403\pi\) |
−0.0515098 | + | 0.998672i | \(0.516403\pi\) | |||||||
\(108\) | 8.84824 | − | 2.13758i | 0.851422 | − | 0.205689i | ||||
\(109\) | 9.65354 | 0.924641 | 0.462321 | − | 0.886713i | \(-0.347017\pi\) | ||||
0.462321 | + | 0.886713i | \(0.347017\pi\) | |||||||
\(110\) | 1.41846 | − | 0.261656i | 0.135245 | − | 0.0249479i | ||||
\(111\) | 3.28895 | − | 5.37279i | 0.312173 | − | 0.509962i | ||||
\(112\) | 3.08600 | + | 9.49772i | 0.291599 | + | 0.897450i | ||||
\(113\) | 6.36685 | − | 8.76321i | 0.598943 | − | 0.824374i | −0.396668 | − | 0.917962i | \(-0.629834\pi\) |
0.995611 | + | 0.0935883i | \(0.0298337\pi\) | |||||||
\(114\) | −0.132072 | − | 1.66803i | −0.0123697 | − | 0.156225i | ||||
\(115\) | −4.09551 | − | 1.33071i | −0.381908 | − | 0.124090i | ||||
\(116\) | 4.61932 | − | 14.2168i | 0.428893 | − | 1.32000i | ||||
\(117\) | 9.78170 | − | 4.61718i | 0.904319 | − | 0.426858i | ||||
\(118\) | 4.12597 | − | 5.67891i | 0.379826 | − | 0.522786i | ||||
\(119\) | −2.20982 | − | 6.80114i | −0.202574 | − | 0.623460i | ||||
\(120\) | 1.47550 | − | 2.41036i | 0.134694 | − | 0.220035i | ||||
\(121\) | −10.2760 | + | 3.92468i | −0.934185 | + | 0.356789i | ||||
\(122\) | −2.22958 | −0.201856 | ||||||||
\(123\) | −8.84101 | − | 2.11811i | −0.797167 | − | 0.190983i | ||||
\(124\) | 2.09495 | − | 2.88346i | 0.188132 | − | 0.258942i | ||||
\(125\) | 6.52442 | − | 4.74027i | 0.583562 | − | 0.423983i | ||||
\(126\) | 0.912988 | + | 5.72923i | 0.0813354 | + | 0.510400i | ||||
\(127\) | 12.3514 | + | 4.01322i | 1.09601 | + | 0.356116i | 0.800567 | − | 0.599243i | \(-0.204532\pi\) |
0.295446 | + | 0.955360i | \(0.404532\pi\) | |||||||
\(128\) | −6.67530 | − | 9.18776i | −0.590018 | − | 0.812091i | ||||
\(129\) | −4.00595 | + | 1.66154i | −0.352704 | + | 0.146291i | ||||
\(130\) | 0.530795 | − | 1.47547i | 0.0465538 | − | 0.129407i | ||||
\(131\) | −7.35310 | −0.642443 | −0.321222 | − | 0.947004i | \(-0.604093\pi\) | ||||
−0.321222 | + | 0.947004i | \(0.604093\pi\) | |||||||
\(132\) | −3.60993 | + | 9.39375i | −0.314204 | + | 0.817621i | ||||
\(133\) | −7.52786 | −0.652748 | ||||||||
\(134\) | −1.23667 | − | 3.80606i | −0.106832 | − | 0.328794i | ||||
\(135\) | −2.94113 | + | 3.45355i | −0.253132 | + | 0.297235i | ||||
\(136\) | 2.02379 | + | 2.78551i | 0.173539 | + | 0.238856i | ||||
\(137\) | −4.70418 | + | 14.4780i | −0.401905 | + | 1.23694i | 0.521547 | + | 0.853223i | \(0.325355\pi\) |
−0.923452 | + | 0.383714i | \(0.874645\pi\) | |||||||
\(138\) | −3.23515 | + | 2.76573i | −0.275394 | + | 0.235435i | ||||
\(139\) | −8.85345 | − | 12.1857i | −0.750940 | − | 1.03358i | −0.997914 | − | 0.0645579i | \(-0.979436\pi\) |
0.246974 | − | 0.969022i | \(-0.420564\pi\) | |||||||
\(140\) | −4.80295 | − | 3.48954i | −0.405923 | − | 0.294920i | ||||
\(141\) | 4.15013 | − | 17.3227i | 0.349504 | − | 1.45883i | ||||
\(142\) | − | 3.87878i | − | 0.325500i | ||||||
\(143\) | −1.93959 | + | 11.7999i | −0.162197 | + | 0.986758i | ||||
\(144\) | 3.51028 | + | 6.87321i | 0.292524 | + | 0.572767i | ||||
\(145\) | 2.30196 | + | 7.08472i | 0.191168 | + | 0.588354i | ||||
\(146\) | 4.19048 | − | 5.76770i | 0.346807 | − | 0.477339i | ||||
\(147\) | 13.9327 | − | 1.10318i | 1.14915 | − | 0.0909884i | ||||
\(148\) | 6.05962 | + | 1.96889i | 0.498098 | + | 0.161842i | ||||
\(149\) | 5.31711 | + | 1.72763i | 0.435594 | + | 0.141533i | 0.518602 | − | 0.855016i | \(-0.326453\pi\) |
−0.0830078 | + | 0.996549i | \(0.526453\pi\) | |||||||
\(150\) | −0.288625 | − | 3.64524i | −0.0235661 | − | 0.297633i | ||||
\(151\) | −14.8529 | − | 10.7913i | −1.20871 | − | 0.878182i | −0.213601 | − | 0.976921i | \(-0.568519\pi\) |
−0.995113 | + | 0.0987390i | \(0.968519\pi\) | |||||||
\(152\) | 3.44706 | − | 1.12002i | 0.279594 | − | 0.0908455i | ||||
\(153\) | −2.51365 | − | 4.92178i | −0.203216 | − | 0.397902i | ||||
\(154\) | −5.78668 | − | 2.76611i | −0.466304 | − | 0.222900i | ||||
\(155\) | 1.77613i | 0.142662i | ||||||||
\(156\) | 6.84640 | + | 8.53313i | 0.548151 | + | 0.683197i | ||||
\(157\) | 4.78481 | + | 3.47637i | 0.381870 | + | 0.277444i | 0.762116 | − | 0.647441i | \(-0.224161\pi\) |
−0.380246 | + | 0.924885i | \(0.624161\pi\) | |||||||
\(158\) | 4.24439 | − | 3.08373i | 0.337666 | − | 0.245328i | ||||
\(159\) | 11.3732 | + | 13.3035i | 0.901952 | + | 1.05504i | ||||
\(160\) | 4.16765 | + | 1.35415i | 0.329481 | + | 0.107055i | ||||
\(161\) | 11.2552 | + | 15.4915i | 0.887036 | + | 1.22090i | ||||
\(162\) | 1.39356 | + | 4.26142i | 0.109488 | + | 0.334809i | ||||
\(163\) | 4.85848 | − | 1.57862i | 0.380546 | − | 0.123647i | −0.112497 | − | 0.993652i | \(-0.535885\pi\) |
0.493042 | + | 0.870005i | \(0.335885\pi\) | |||||||
\(164\) | − | 9.19502i | − | 0.718010i | ||||||
\(165\) | −1.29617 | − | 4.84458i | −0.100907 | − | 0.377150i | ||||
\(166\) | −0.427709 | −0.0331966 | ||||||||
\(167\) | 1.23211 | − | 0.400336i | 0.0953433 | − | 0.0309789i | −0.260957 | − | 0.965350i | \(-0.584038\pi\) |
0.356300 | + | 0.934372i | \(0.384038\pi\) | |||||||
\(168\) | −11.6079 | + | 4.81460i | −0.895570 | + | 0.371454i | ||||
\(169\) | 10.0207 | + | 8.28161i | 0.770825 | + | 0.637047i | ||||
\(170\) | −0.761943 | − | 0.247570i | −0.0584383 | − | 0.0189878i | ||||
\(171\) | −5.74515 | + | 0.915525i | −0.439343 | + | 0.0700120i | ||||
\(172\) | −2.57825 | − | 3.54866i | −0.196590 | − | 0.270583i | ||||
\(173\) | −16.7235 | − | 12.1503i | −1.27146 | − | 0.923772i | −0.272204 | − | 0.962240i | \(-0.587752\pi\) |
−0.999260 | + | 0.0384673i | \(0.987752\pi\) | |||||||
\(174\) | 7.16011 | + | 1.71540i | 0.542807 | + | 0.130044i | ||||
\(175\) | −16.4511 | −1.24358 | ||||||||
\(176\) | −8.45831 | − | 1.12083i | −0.637569 | − | 0.0844860i | ||||
\(177\) | −20.8154 | − | 12.7422i | −1.56458 | − | 0.957759i | ||||
\(178\) | −1.83805 | + | 0.597219i | −0.137768 | + | 0.0447635i | ||||
\(179\) | −5.50172 | + | 7.57246i | −0.411218 | + | 0.565992i | −0.963515 | − | 0.267655i | \(-0.913751\pi\) |
0.552297 | + | 0.833647i | \(0.313751\pi\) | |||||||
\(180\) | −4.08993 | − | 2.07904i | −0.304845 | − | 0.154963i | ||||
\(181\) | −2.20739 | + | 6.79365i | −0.164074 | + | 0.504968i | −0.998967 | − | 0.0454446i | \(-0.985530\pi\) |
0.834893 | + | 0.550413i | \(0.185530\pi\) | |||||||
\(182\) | −5.76590 | + | 3.92057i | −0.427397 | + | 0.290612i | ||||
\(183\) | 0.611870 | + | 7.72772i | 0.0452307 | + | 0.571249i | ||||
\(184\) | −7.45873 | − | 5.41908i | −0.549865 | − | 0.399500i | ||||
\(185\) | −3.01971 | + | 0.981164i | −0.222014 | + | 0.0721366i | ||||
\(186\) | 1.49724 | + | 0.916532i | 0.109783 | + | 0.0672034i | ||||
\(187\) | 6.05684 | + | 0.802608i | 0.442920 | + | 0.0586925i | ||||
\(188\) | 18.0163 | 1.31398 | ||||||||
\(189\) | 19.6070 | − | 4.73671i | 1.42620 | − | 0.344545i | ||||
\(190\) | −0.495713 | + | 0.682291i | −0.0359628 | + | 0.0494986i | ||||
\(191\) | −7.53373 | − | 10.3693i | −0.545121 | − | 0.750295i | 0.444219 | − | 0.895918i | \(-0.353481\pi\) |
−0.989340 | + | 0.145623i | \(0.953481\pi\) | |||||||
\(192\) | −3.48159 | + | 2.97642i | −0.251262 | + | 0.214804i | ||||
\(193\) | 0.792665 | − | 2.43957i | 0.0570573 | − | 0.175604i | −0.918466 | − | 0.395499i | \(-0.870572\pi\) |
0.975524 | + | 0.219895i | \(0.0705715\pi\) | |||||||
\(194\) | −7.09344 | + | 5.15368i | −0.509279 | + | 0.370013i | ||||
\(195\) | −5.25966 | − | 1.43482i | −0.376652 | − | 0.102749i | ||||
\(196\) | 4.36825 | + | 13.4441i | 0.312018 | + | 0.960293i | ||||
\(197\) | − | 5.97543i | − | 0.425732i | −0.977081 | − | 0.212866i | \(-0.931720\pi\) | ||
0.977081 | − | 0.212866i | \(-0.0682797\pi\) | |||||||
\(198\) | −4.75272 | − | 1.40729i | −0.337761 | − | 0.100012i | ||||
\(199\) | −8.89135 | −0.630291 | −0.315146 | − | 0.949043i | \(-0.602053\pi\) | ||||
−0.315146 | + | 0.949043i | \(0.602053\pi\) | |||||||
\(200\) | 7.53308 | − | 2.44764i | 0.532669 | − | 0.173075i | ||||
\(201\) | −12.8525 | + | 5.33080i | −0.906542 | + | 0.376006i | ||||
\(202\) | −3.47297 | − | 4.78013i | −0.244357 | − | 0.336329i | ||||
\(203\) | 10.2360 | − | 31.5033i | 0.718430 | − | 2.21110i | ||||
\(204\) | 4.24866 | − | 3.63218i | 0.297466 | − | 0.254304i | ||||
\(205\) | 2.69334 | + | 3.70707i | 0.188111 | + | 0.258913i | ||||
\(206\) | −0.386737 | + | 0.532298i | −0.0269453 | + | 0.0370870i | ||||
\(207\) | 10.4739 | + | 10.4540i | 0.727984 | + | 0.726606i | ||||
\(208\) | −5.68325 | + | 7.33050i | −0.394062 | + | 0.508279i | ||||
\(209\) | 2.77380 | − | 5.80276i | 0.191868 | − | 0.401386i | ||||
\(210\) | 1.52666 | − | 2.49393i | 0.105349 | − | 0.172098i | ||||
\(211\) | 1.87588 | − | 0.609509i | 0.129141 | − | 0.0419604i | −0.243734 | − | 0.969842i | \(-0.578372\pi\) |
0.372874 | + | 0.927882i | \(0.378372\pi\) | |||||||
\(212\) | −10.4051 | + | 14.3214i | −0.714626 | + | 0.983598i | ||||
\(213\) | −13.4439 | + | 1.06447i | −0.921160 | + | 0.0729361i | ||||
\(214\) | −5.34520 | − | 1.73676i | −0.365390 | − | 0.118723i | ||||
\(215\) | 2.07890 | + | 0.675475i | 0.141780 | + | 0.0460670i | ||||
\(216\) | −8.27344 | + | 5.08617i | −0.562936 | + | 0.346070i | ||||
\(217\) | 4.64225 | − | 6.38950i | 0.315136 | − | 0.433748i | ||||
\(218\) | −4.57369 | + | 1.48608i | −0.309770 | + | 0.100650i | ||||
\(219\) | −21.1409 | − | 12.9414i | −1.42857 | − | 0.874498i | ||||
\(220\) | 4.45962 | − | 2.41650i | 0.300668 | − | 0.162920i | ||||
\(221\) | 4.06967 | − | 5.24924i | 0.273755 | − | 0.353102i | ||||
\(222\) | −0.731154 | + | 3.05185i | −0.0490719 | + | 0.204827i | ||||
\(223\) | 3.26328 | − | 4.49152i | 0.218525 | − | 0.300774i | −0.685654 | − | 0.727928i | \(-0.740484\pi\) |
0.904179 | + | 0.427153i | \(0.140484\pi\) | |||||||
\(224\) | −11.4535 | − | 15.7643i | −0.765267 | − | 1.05330i | ||||
\(225\) | −12.5552 | + | 2.00075i | −0.837015 | + | 0.133383i | ||||
\(226\) | −1.66749 | + | 5.13200i | −0.110920 | + | 0.341375i | ||||
\(227\) | −12.9799 | − | 17.8653i | −0.861506 | − | 1.18576i | −0.981208 | − | 0.192952i | \(-0.938194\pi\) |
0.119702 | − | 0.992810i | \(-0.461806\pi\) | |||||||
\(228\) | −2.25431 | − | 5.43511i | −0.149296 | − | 0.359949i | ||||
\(229\) | −11.7141 | + | 3.80615i | −0.774091 | + | 0.251517i | −0.669315 | − | 0.742979i | \(-0.733412\pi\) |
−0.104776 | + | 0.994496i | \(0.533412\pi\) | |||||||
\(230\) | 2.14524 | 0.141453 | ||||||||
\(231\) | −7.99930 | + | 20.8158i | −0.526315 | + | 1.36958i | ||||
\(232\) | 15.9486i | 1.04707i | ||||||||
\(233\) | −3.56120 | − | 10.9602i | −0.233302 | − | 0.718030i | −0.997342 | − | 0.0728610i | \(-0.976787\pi\) |
0.764040 | − | 0.645169i | \(-0.223213\pi\) | |||||||
\(234\) | −3.92364 | + | 3.69336i | −0.256496 | + | 0.241442i | ||||
\(235\) | −7.26347 | + | 5.27722i | −0.473816 | + | 0.344248i | ||||
\(236\) | 7.62794 | − | 23.4764i | 0.496537 | − | 1.52818i | ||||
\(237\) | −11.8530 | − | 13.8648i | −0.769937 | − | 0.900616i | ||||
\(238\) | 2.09396 | + | 2.88209i | 0.135731 | + | 0.186818i | ||||
\(239\) | −4.56868 | + | 6.28825i | −0.295524 | + | 0.406753i | −0.930798 | − | 0.365533i | \(-0.880887\pi\) |
0.635275 | + | 0.772286i | \(0.280887\pi\) | |||||||
\(240\) | 0.906290 | − | 3.78287i | 0.0585007 | − | 0.244183i | ||||
\(241\) | 4.58377 | 0.295266 | 0.147633 | − | 0.989042i | \(-0.452834\pi\) | ||||
0.147633 | + | 0.989042i | \(0.452834\pi\) | |||||||
\(242\) | 4.26445 | − | 3.44136i | 0.274129 | − | 0.221219i | ||||
\(243\) | 14.3877 | − | 5.99956i | 0.922970 | − | 0.384872i | ||||
\(244\) | −7.45669 | + | 2.42283i | −0.477366 | + | 0.155106i | ||||
\(245\) | −5.69906 | − | 4.14061i | −0.364099 | − | 0.264534i | ||||
\(246\) | 4.51480 | − | 0.357475i | 0.287853 | − | 0.0227918i | ||||
\(247\) | −3.93146 | − | 5.78193i | −0.250153 | − | 0.367895i | ||||
\(248\) | −1.17507 | + | 3.61649i | −0.0746170 | + | 0.229647i | ||||
\(249\) | 0.117378 | + | 1.48244i | 0.00743850 | + | 0.0939459i | ||||
\(250\) | −2.36144 | + | 3.25025i | −0.149351 | + | 0.205564i | ||||
\(251\) | 11.8391 | − | 3.84677i | 0.747280 | − | 0.242806i | 0.0894698 | − | 0.995990i | \(-0.471483\pi\) |
0.657811 | + | 0.753183i | \(0.271483\pi\) | |||||||
\(252\) | 9.27925 | + | 18.1690i | 0.584538 | + | 1.14454i | ||||
\(253\) | −16.0887 | + | 2.96779i | −1.01149 | + | 0.186583i | ||||
\(254\) | −6.46972 | −0.405946 | ||||||||
\(255\) | −0.648977 | + | 2.70884i | −0.0406405 | + | 0.169634i | ||||
\(256\) | 0.298096 | + | 0.216580i | 0.0186310 | + | 0.0135362i | ||||
\(257\) | −2.45540 | − | 3.37957i | −0.153164 | − | 0.210812i | 0.725539 | − | 0.688181i | \(-0.241590\pi\) |
−0.878703 | + | 0.477369i | \(0.841590\pi\) | |||||||
\(258\) | 1.64217 | − | 1.40390i | 0.102237 | − | 0.0874027i | ||||
\(259\) | 13.4276 | + | 4.36290i | 0.834352 | + | 0.271097i | ||||
\(260\) | 0.171854 | − | 5.51144i | 0.0106579 | − | 0.341805i | ||||
\(261\) | 3.98062 | − | 25.2877i | 0.246394 | − | 1.56527i | ||||
\(262\) | 3.48378 | − | 1.13195i | 0.215229 | − | 0.0699321i | ||||
\(263\) | −7.45198 | −0.459509 | −0.229754 | − | 0.973249i | \(-0.573792\pi\) | ||||
−0.229754 | + | 0.973249i | \(0.573792\pi\) | |||||||
\(264\) | 0.565903 | − | 10.7219i | 0.0348289 | − | 0.659885i | ||||
\(265\) | − | 8.82161i | − | 0.541907i | ||||||
\(266\) | 3.56658 | − | 1.15885i | 0.218681 | − | 0.0710538i | ||||
\(267\) | 2.57439 | + | 6.20680i | 0.157550 | + | 0.379850i | ||||
\(268\) | −8.27192 | − | 11.3853i | −0.505288 | − | 0.695469i | ||||
\(269\) | 9.52502 | + | 3.09487i | 0.580751 | + | 0.188697i | 0.584637 | − | 0.811295i | \(-0.301237\pi\) |
−0.00388603 | + | 0.999992i | \(0.501237\pi\) | |||||||
\(270\) | 0.861815 | − | 2.08900i | 0.0524484 | − | 0.127133i | ||||
\(271\) | 4.03117 | − | 2.92882i | 0.244876 | − | 0.177913i | −0.458577 | − | 0.888655i | \(-0.651641\pi\) |
0.703453 | + | 0.710742i | \(0.251641\pi\) | |||||||
\(272\) | 3.83402 | + | 2.78558i | 0.232472 | + | 0.168901i | ||||
\(273\) | 15.1711 | + | 18.9087i | 0.918195 | + | 1.14441i | ||||
\(274\) | − | 7.58361i | − | 0.458142i | ||||||
\(275\) | 6.06175 | − | 12.6811i | 0.365537 | − | 0.764701i | ||||
\(276\) | −7.81432 | + | 12.7654i | −0.470367 | + | 0.768386i | ||||
\(277\) | −7.17253 | + | 2.33050i | −0.430955 | + | 0.140026i | −0.516459 | − | 0.856312i | \(-0.672750\pi\) |
0.0855035 | + | 0.996338i | \(0.472750\pi\) | |||||||
\(278\) | 6.07052 | + | 4.41049i | 0.364086 | + | 0.264524i | ||||
\(279\) | 2.76581 | − | 5.44096i | 0.165585 | − | 0.325742i | ||||
\(280\) | 6.02396 | + | 1.95730i | 0.360000 | + | 0.116971i | ||||
\(281\) | 2.96426 | + | 0.963145i | 0.176833 | + | 0.0574564i | 0.396095 | − | 0.918210i | \(-0.370365\pi\) |
−0.219262 | + | 0.975666i | \(0.570365\pi\) | |||||||
\(282\) | 0.700422 | + | 8.84610i | 0.0417095 | + | 0.526778i | ||||
\(283\) | 2.37756 | − | 3.27243i | 0.141331 | − | 0.194526i | −0.732484 | − | 0.680785i | \(-0.761639\pi\) |
0.873815 | + | 0.486259i | \(0.161639\pi\) | |||||||
\(284\) | −4.21498 | − | 12.9724i | −0.250113 | − | 0.769769i | ||||
\(285\) | 2.50086 | + | 1.53090i | 0.148138 | + | 0.0906828i | ||||
\(286\) | −0.897554 | − | 5.88920i | −0.0530735 | − | 0.348236i | ||||
\(287\) | − | 20.3754i | − | 1.20272i | ||||||
\(288\) | −10.6583 | − | 10.6382i | −0.628049 | − | 0.626860i | ||||
\(289\) | 11.0078 | + | 7.99765i | 0.647519 | + | 0.470450i | ||||
\(290\) | −2.18127 | − | 3.00226i | −0.128088 | − | 0.176299i | ||||
\(291\) | 19.8094 | + | 23.1715i | 1.16125 | + | 1.35834i | ||||
\(292\) | 7.74721 | − | 23.8435i | 0.453371 | − | 1.39533i | ||||
\(293\) | 16.9516 | + | 23.3319i | 0.990325 | + | 1.36307i | 0.931077 | + | 0.364823i | \(0.118870\pi\) |
0.0592485 | + | 0.998243i | \(0.481130\pi\) | |||||||
\(294\) | −6.43129 | + | 2.66750i | −0.375081 | + | 0.155572i | ||||
\(295\) | 3.80126 | + | 11.6991i | 0.221318 | + | 0.681146i | ||||
\(296\) | −6.79774 | −0.395111 | ||||||||
\(297\) | −3.57337 | + | 16.8592i | −0.207348 | + | 0.978267i | ||||
\(298\) | −2.78512 | −0.161337 | ||||||||
\(299\) | −6.02046 | + | 16.7353i | −0.348172 | + | 0.967829i | ||||
\(300\) | −4.92649 | − | 11.8777i | −0.284431 | − | 0.685758i | ||||
\(301\) | −5.71320 | − | 7.86354i | −0.329303 | − | 0.453247i | ||||
\(302\) | 8.69831 | + | 2.82625i | 0.500532 | + | 0.162633i | ||||
\(303\) | −15.6149 | + | 13.3492i | −0.897051 | + | 0.766889i | ||||
\(304\) | 4.03599 | − | 2.93232i | 0.231480 | − | 0.168180i | ||||
\(305\) | 2.29656 | − | 3.16095i | 0.131501 | − | 0.180995i | ||||
\(306\) | 1.94859 | + | 1.94490i | 0.111394 | + | 0.111183i | ||||
\(307\) | 23.3114 | 1.33045 | 0.665225 | − | 0.746643i | \(-0.268336\pi\) | ||||
0.665225 | + | 0.746643i | \(0.268336\pi\) | |||||||
\(308\) | −22.3591 | − | 2.96286i | −1.27403 | − | 0.168825i | ||||
\(309\) | 1.95108 | + | 1.19435i | 0.110993 | + | 0.0679444i | ||||
\(310\) | −0.273421 | − | 0.841504i | −0.0155293 | − | 0.0477942i | ||||
\(311\) | −6.79334 | + | 9.35023i | −0.385215 | + | 0.530203i | −0.956957 | − | 0.290231i | \(-0.906268\pi\) |
0.571742 | + | 0.820434i | \(0.306268\pi\) | |||||||
\(312\) | −9.76025 | − | 6.40125i | −0.552565 | − | 0.362399i | ||||
\(313\) | −0.337633 | + | 1.03913i | −0.0190841 | + | 0.0587350i | −0.960145 | − | 0.279502i | \(-0.909831\pi\) |
0.941061 | + | 0.338237i | \(0.109831\pi\) | |||||||
\(314\) | −2.80213 | − | 0.910466i | −0.158133 | − | 0.0513806i | ||||
\(315\) | −9.06295 | − | 4.60699i | −0.510639 | − | 0.259574i | ||||
\(316\) | 10.8441 | − | 14.9256i | 0.610029 | − | 0.839633i | ||||
\(317\) | 1.66691 | + | 5.13022i | 0.0936230 | + | 0.288142i | 0.986892 | − | 0.161380i | \(-0.0515944\pi\) |
−0.893269 | + | 0.449522i | \(0.851594\pi\) | |||||||
\(318\) | −7.43640 | − | 4.55219i | −0.417013 | − | 0.255274i | ||||
\(319\) | 20.5123 | + | 19.4984i | 1.14847 | + | 1.09170i | ||||
\(320\) | 2.30866 | 0.129058 | ||||||||
\(321\) | −4.55272 | + | 19.0031i | −0.254108 | + | 1.06065i | ||||
\(322\) | −7.71734 | − | 5.60697i | −0.430070 | − | 0.312464i | ||||
\(323\) | −2.89010 | + | 2.09978i | −0.160809 | + | 0.116835i | ||||
\(324\) | 9.29146 | + | 12.7378i | 0.516192 | + | 0.707653i | ||||
\(325\) | −8.59166 | − | 12.6356i | −0.476580 | − | 0.700897i | ||||
\(326\) | −2.05886 | + | 1.49585i | −0.114030 | + | 0.0828473i | ||||
\(327\) | 6.40595 | + | 15.4446i | 0.354250 | + | 0.854089i | ||||
\(328\) | 3.03152 | + | 9.33006i | 0.167388 | + | 0.515166i | ||||
\(329\) | 39.9227 | 2.20101 | ||||||||
\(330\) | 1.35989 | + | 2.09575i | 0.0748595 | + | 0.115367i | ||||
\(331\) | 34.8276i | 1.91430i | 0.289597 | + | 0.957149i | \(0.406479\pi\) | ||||
−0.289597 | + | 0.957149i | \(0.593521\pi\) | |||||||
\(332\) | −1.43045 | + | 0.464781i | −0.0785061 | + | 0.0255082i | ||||
\(333\) | 10.7784 | + | 1.69666i | 0.590651 | + | 0.0929762i | ||||
\(334\) | −0.522125 | + | 0.379346i | −0.0285694 | + | 0.0207569i | ||||
\(335\) | 6.66982 | + | 2.16715i | 0.364411 | + | 0.118404i | ||||
\(336\) | −13.1475 | + | 11.2398i | −0.717255 | + | 0.613182i | ||||
\(337\) | −14.9235 | − | 20.5404i | −0.812935 | − | 1.11891i | −0.990864 | − | 0.134866i | \(-0.956940\pi\) |
0.177929 | − | 0.984043i | \(-0.443060\pi\) | |||||||
\(338\) | −6.02255 | − | 2.38109i | −0.327583 | − | 0.129514i | ||||
\(339\) | 18.2451 | + | 4.37113i | 0.990940 | + | 0.237407i | ||||
\(340\) | −2.81730 | −0.152790 | ||||||||
\(341\) | 3.21474 | + | 5.93277i | 0.174088 | + | 0.321278i | ||||
\(342\) | 2.58102 | − | 1.31818i | 0.139566 | − | 0.0712790i | ||||
\(343\) | 1.28265 | + | 3.94759i | 0.0692566 | + | 0.213150i | ||||
\(344\) | 3.78608 | + | 2.75075i | 0.204132 | + | 0.148310i | ||||
\(345\) | −0.588726 | − | 7.43542i | −0.0316959 | − | 0.400309i | ||||
\(346\) | 9.79377 | + | 3.18219i | 0.526516 | + | 0.171076i | ||||
\(347\) | −4.43687 | + | 13.6553i | −0.238184 | + | 0.733054i | 0.758499 | + | 0.651674i | \(0.225933\pi\) |
−0.996683 | + | 0.0813802i | \(0.974067\pi\) | |||||||
\(348\) | 25.8107 | − | 2.04365i | 1.38360 | − | 0.109551i | ||||
\(349\) | −6.85717 | − | 4.98202i | −0.367056 | − | 0.266682i | 0.388933 | − | 0.921266i | \(-0.372844\pi\) |
−0.755989 | + | 0.654584i | \(0.772844\pi\) | |||||||
\(350\) | 7.79426 | − | 2.53251i | 0.416621 | − | 0.135368i | ||||
\(351\) | 13.8780 | + | 12.5858i | 0.740752 | + | 0.671779i | ||||
\(352\) | 16.3720 | − | 3.02006i | 0.872633 | − | 0.160970i | ||||
\(353\) | 11.5269 | 0.613516 | 0.306758 | − | 0.951787i | \(-0.400756\pi\) | ||||
0.306758 | + | 0.951787i | \(0.400756\pi\) | |||||||
\(354\) | 11.8236 | + | 2.83266i | 0.628416 | + | 0.150554i | ||||
\(355\) | 5.49909 | + | 3.99532i | 0.291862 | + | 0.212050i | ||||
\(356\) | −5.49828 | + | 3.99473i | −0.291408 | + | 0.211720i | ||||
\(357\) | 9.41468 | − | 8.04862i | 0.498278 | − | 0.425978i | ||||
\(358\) | 1.44091 | − | 4.43466i | 0.0761543 | − | 0.234379i | ||||
\(359\) | −1.49002 | − | 2.05083i | −0.0786401 | − | 0.108239i | 0.767885 | − | 0.640588i | \(-0.221309\pi\) |
−0.846525 | + | 0.532349i | \(0.821309\pi\) | |||||||
\(360\) | 4.83544 | + | 0.761160i | 0.254850 | + | 0.0401167i | ||||
\(361\) | −4.70925 | − | 14.4936i | −0.247855 | − | 0.762820i | ||||
\(362\) | − | 3.55853i | − | 0.187032i | ||||||
\(363\) | −13.0981 | − | 13.8362i | −0.687471 | − | 0.726211i | ||||
\(364\) | −15.0234 | + | 19.3778i | −0.787438 | + | 1.01567i | ||||
\(365\) | 3.86069 | + | 11.8820i | 0.202078 | + | 0.621932i | ||||
\(366\) | −1.47951 | − | 3.56708i | −0.0773354 | − | 0.186454i | ||||
\(367\) | 26.8148 | − | 19.4821i | 1.39972 | − | 1.01696i | 0.405003 | − | 0.914315i | \(-0.367270\pi\) |
0.994718 | − | 0.102642i | \(-0.0327295\pi\) | |||||||
\(368\) | −12.0688 | − | 3.92138i | −0.629128 | − | 0.204416i | ||||
\(369\) | −2.47802 | − | 15.5502i | −0.129001 | − | 0.809512i | ||||
\(370\) | 1.27965 | − | 0.929720i | 0.0665258 | − | 0.0483338i | ||||
\(371\) | −23.0569 | + | 31.7351i | −1.19705 | + | 1.64760i | ||||
\(372\) | 6.00340 | + | 1.43828i | 0.311262 | + | 0.0745713i | ||||
\(373\) | − | 4.14182i | − | 0.214455i | −0.994234 | − | 0.107228i | \(-0.965803\pi\) | ||
0.994234 | − | 0.107228i | \(-0.0341974\pi\) | |||||||
\(374\) | −2.99319 | + | 0.552138i | −0.154774 | + | 0.0285504i | ||||
\(375\) | 11.9134 | + | 7.29279i | 0.615207 | + | 0.376598i | ||||
\(376\) | −18.2809 | + | 5.93983i | −0.942766 | + | 0.306323i | ||||
\(377\) | 29.5426 | − | 8.59076i | 1.52152 | − | 0.442447i | ||||
\(378\) | −8.56030 | + | 5.26251i | −0.440294 | + | 0.270674i | ||||
\(379\) | −28.1786 | − | 9.15579i | −1.44744 | − | 0.470302i | −0.523231 | − | 0.852191i | \(-0.675274\pi\) |
−0.924208 | + | 0.381889i | \(0.875274\pi\) | |||||||
\(380\) | −0.916457 | + | 2.82056i | −0.0470132 | + | 0.144692i | ||||
\(381\) | 1.77551 | + | 22.4241i | 0.0909620 | + | 1.14882i | ||||
\(382\) | 5.16563 | + | 3.75305i | 0.264297 | + | 0.192023i | ||||
\(383\) | −2.91893 | − | 8.98355i | −0.149150 | − | 0.459038i | 0.848371 | − | 0.529402i | \(-0.177584\pi\) |
−0.997521 | + | 0.0703644i | \(0.977584\pi\) | |||||||
\(384\) | 10.2698 | − | 16.7766i | 0.524078 | − | 0.856128i | ||||
\(385\) | 9.88216 | − | 5.35476i | 0.503642 | − | 0.272904i | ||||
\(386\) | 1.27786i | 0.0650411i | ||||||||
\(387\) | −5.31658 | − | 5.30651i | −0.270257 | − | 0.269745i | ||||
\(388\) | −18.1232 | + | 24.9445i | −0.920067 | + | 1.26636i | ||||
\(389\) | 1.08541 | + | 1.49394i | 0.0550324 | + | 0.0757455i | 0.835646 | − | 0.549268i | \(-0.185093\pi\) |
−0.780614 | + | 0.625014i | \(0.785093\pi\) | |||||||
\(390\) | 2.71282 | − | 0.129887i | 0.137369 | − | 0.00657710i | ||||
\(391\) | 8.64223 | + | 2.80803i | 0.437056 | + | 0.142008i | ||||
\(392\) | −8.86481 | − | 12.2014i | −0.447741 | − | 0.616262i | ||||
\(393\) | −4.87941 | − | 11.7642i | −0.246134 | − | 0.593424i | ||||
\(394\) | 0.919868 | + | 2.83106i | 0.0463423 | + | 0.142627i | ||||
\(395\) | 9.19381i | 0.462591i | ||||||||
\(396\) | −17.4245 | + | 0.458063i | −0.875613 | + | 0.0230185i | ||||
\(397\) | − | 38.4295i | − | 1.92872i | −0.264588 | − | 0.964362i | \(-0.585236\pi\) | ||
0.264588 | − | 0.964362i | \(-0.414764\pi\) | |||||||
\(398\) | 4.21258 | − | 1.36875i | 0.211158 | − | 0.0686093i | ||||
\(399\) | −4.99538 | − | 12.0438i | −0.250082 | − | 0.602942i | ||||
\(400\) | 8.82010 | − | 6.40818i | 0.441005 | − | 0.320409i | ||||
\(401\) | −4.49596 | + | 13.8371i | −0.224517 | + | 0.690993i | 0.773823 | + | 0.633402i | \(0.218342\pi\) |
−0.998340 | + | 0.0575913i | \(0.981658\pi\) | |||||||
\(402\) | 5.26866 | − | 4.50418i | 0.262777 | − | 0.224648i | ||||
\(403\) | 7.33203 | + | 0.228623i | 0.365234 | + | 0.0113885i | ||||
\(404\) | −16.8096 | − | 12.2129i | −0.836309 | − | 0.607614i | ||||
\(405\) | −7.47700 | − | 2.41376i | −0.371535 | − | 0.119941i | ||||
\(406\) | 16.5015i | 0.818957i | ||||||||
\(407\) | −8.31079 | + | 8.74293i | −0.411951 | + | 0.433371i | ||||
\(408\) | −3.11356 | + | 5.08627i | −0.154144 | + | 0.251808i | ||||
\(409\) | 4.17992 | + | 12.8645i | 0.206684 | + | 0.636107i | 0.999640 | + | 0.0268287i | \(0.00854086\pi\) |
−0.792956 | + | 0.609279i | \(0.791459\pi\) | |||||||
\(410\) | −1.84673 | − | 1.34173i | −0.0912037 | − | 0.0662634i | ||||
\(411\) | −26.2848 | + | 2.08119i | −1.29653 | + | 0.102658i | ||||
\(412\) | −0.714986 | + | 2.20050i | −0.0352248 | + | 0.108411i | ||||
\(413\) | 16.9029 | − | 52.0218i | 0.831738 | − | 2.55982i | ||||
\(414\) | −6.57167 | − | 3.34059i | −0.322980 | − | 0.164181i | ||||
\(415\) | 0.440560 | − | 0.606378i | 0.0216262 | − | 0.0297659i | ||||
\(416\) | 6.12650 | − | 17.0301i | 0.300377 | − | 0.834969i | ||||
\(417\) | 13.6208 | − | 22.2508i | 0.667015 | − | 1.08963i | ||||
\(418\) | −0.420895 | + | 3.17626i | −0.0205866 | + | 0.155356i | ||||
\(419\) | 25.5258i | 1.24702i | 0.781817 | + | 0.623508i | \(0.214293\pi\) | ||||
−0.781817 | + | 0.623508i | \(0.785707\pi\) | |||||||
\(420\) | 2.39573 | − | 9.99980i | 0.116900 | − | 0.487940i | ||||
\(421\) | 15.9507 | − | 21.9543i | 0.777392 | − | 1.06999i | −0.218173 | − | 0.975910i | \(-0.570010\pi\) |
0.995565 | − | 0.0940778i | \(-0.0299903\pi\) | |||||||
\(422\) | −0.794932 | + | 0.577552i | −0.0386967 | + | 0.0281148i | ||||
\(423\) | 30.4684 | − | 4.85533i | 1.48143 | − | 0.236074i | ||||
\(424\) | 5.83628 | − | 17.9622i | 0.283435 | − | 0.872322i | ||||
\(425\) | −6.31591 | + | 4.58878i | −0.306367 | + | 0.222588i | ||||
\(426\) | 6.20564 | − | 2.57390i | 0.300664 | − | 0.124706i | ||||
\(427\) | −16.5234 | + | 5.36879i | −0.799624 | + | 0.259814i | ||||
\(428\) | −19.7640 | −0.955330 | ||||||||
\(429\) | −20.1657 | + | 4.72712i | −0.973608 | + | 0.228227i | ||||
\(430\) | −1.08893 | −0.0525130 | ||||||||
\(431\) | 18.2034 | − | 5.91463i | 0.876825 | − | 0.284898i | 0.164187 | − | 0.986429i | \(-0.447500\pi\) |
0.712638 | + | 0.701532i | \(0.247500\pi\) | |||||||
\(432\) | −8.66702 | + | 10.1770i | −0.416992 | + | 0.489643i | ||||
\(433\) | −9.18200 | + | 6.67112i | −0.441259 | + | 0.320593i | −0.786135 | − | 0.618055i | \(-0.787921\pi\) |
0.344876 | + | 0.938648i | \(0.387921\pi\) | |||||||
\(434\) | −1.21581 | + | 3.74188i | −0.0583608 | + | 0.179616i | ||||
\(435\) | −9.80723 | + | 8.38421i | −0.470221 | + | 0.401992i | ||||
\(436\) | −13.6816 | + | 9.94025i | −0.655229 | + | 0.476052i | ||||
\(437\) | 5.62256 | − | 7.73879i | 0.268963 | − | 0.370196i | ||||
\(438\) | 12.0084 | + | 2.87695i | 0.573786 | + | 0.137466i | ||||
\(439\) | 3.77422i | 0.180134i | 0.995936 | + | 0.0900668i | \(0.0287081\pi\) | ||||
−0.995936 | + | 0.0900668i | \(0.971292\pi\) | |||||||
\(440\) | −3.72842 | + | 3.92229i | −0.177745 | + | 0.186988i | ||||
\(441\) | 11.0105 | + | 21.5588i | 0.524311 | + | 1.02661i | ||||
\(442\) | −1.12007 | + | 3.11350i | −0.0532762 | + | 0.148094i | ||||
\(443\) | −12.5858 | + | 17.3229i | −0.597970 | + | 0.823035i | −0.995521 | − | 0.0945454i | \(-0.969860\pi\) |
0.397551 | + | 0.917580i | \(0.369860\pi\) | |||||||
\(444\) | 0.871065 | + | 11.0013i | 0.0413389 | + | 0.522097i | ||||
\(445\) | 1.04658 | − | 3.22104i | 0.0496126 | − | 0.152692i | ||||
\(446\) | −0.854658 | + | 2.63037i | −0.0404692 | + | 0.124551i | ||||
\(447\) | 0.764329 | + | 9.65323i | 0.0361515 | + | 0.456582i | ||||
\(448\) | −8.30523 | − | 6.03410i | −0.392385 | − | 0.285084i | ||||
\(449\) | 11.6052 | + | 35.7171i | 0.547682 | + | 1.68559i | 0.714526 | + | 0.699609i | \(0.246642\pi\) |
−0.166844 | + | 0.985983i | \(0.553358\pi\) | |||||||
\(450\) | 5.64047 | − | 2.88070i | 0.265894 | − | 0.135797i | ||||
\(451\) | 15.7062 | + | 7.50776i | 0.739574 | + | 0.353526i | ||||
\(452\) | 18.9757i | 0.892542i | ||||||||
\(453\) | 7.40870 | − | 30.9240i | 0.348091 | − | 1.45294i | ||||
\(454\) | 8.89989 | + | 6.46615i | 0.417693 | + | 0.303471i | ||||
\(455\) | 0.380815 | − | 12.2129i | 0.0178529 | − | 0.572549i | ||||
\(456\) | 4.07933 | + | 4.77170i | 0.191032 | + | 0.223455i | ||||
\(457\) | −1.69043 | + | 5.20262i | −0.0790751 | + | 0.243368i | −0.982777 | − | 0.184793i | \(-0.940839\pi\) |
0.903702 | + | 0.428161i | \(0.140839\pi\) | |||||||
\(458\) | 4.96404 | − | 3.60659i | 0.231954 | − | 0.168525i | ||||
\(459\) | 6.20629 | − | 7.28759i | 0.289685 | − | 0.340155i | ||||
\(460\) | 7.17464 | − | 2.33118i | 0.334519 | − | 0.108692i | ||||
\(461\) | 23.2001i | 1.08054i | 0.841493 | + | 0.540269i | \(0.181677\pi\) | ||||
−0.841493 | + | 0.540269i | \(0.818323\pi\) | |||||||
\(462\) | 0.585524 | − | 11.0936i | 0.0272410 | − | 0.516122i | ||||
\(463\) | − | 11.3557i | − | 0.527743i | −0.964558 | − | 0.263871i | \(-0.915001\pi\) | ||
0.964558 | − | 0.263871i | \(-0.0849994\pi\) | |||||||
\(464\) | 6.78350 | + | 20.8775i | 0.314916 | + | 0.969212i | ||||
\(465\) | −2.84162 | + | 1.17862i | −0.131777 | + | 0.0546570i | ||||
\(466\) | 3.37448 | + | 4.64458i | 0.156320 | + | 0.215156i | ||||
\(467\) | −3.02843 | − | 0.983995i | −0.140139 | − | 0.0455339i | 0.238108 | − | 0.971239i | \(-0.423473\pi\) |
−0.378247 | + | 0.925705i | \(0.623473\pi\) | |||||||
\(468\) | −9.10891 | + | 16.6160i | −0.421060 | + | 0.768073i | ||||
\(469\) | −18.3299 | − | 25.2289i | −0.846396 | − | 1.16496i | ||||
\(470\) | 2.62893 | − | 3.61841i | 0.121264 | − | 0.166905i | ||||
\(471\) | −2.38668 | + | 9.96205i | −0.109973 | + | 0.459027i | ||||
\(472\) | 26.3360i | 1.21221i | ||||||||
\(473\) | 8.16667 | − | 1.50646i | 0.375504 | − | 0.0692672i | ||||
\(474\) | 7.75015 | + | 4.74425i | 0.355976 | + | 0.217911i | ||||
\(475\) | 2.53955 | + | 7.81593i | 0.116522 | + | 0.358619i | ||||
\(476\) | 10.1350 | + | 7.36353i | 0.464539 | + | 0.337507i | ||||
\(477\) | −13.7371 | + | 27.0239i | −0.628979 | + | 1.23734i | ||||
\(478\) | 1.19655 | − | 3.68259i | 0.0547287 | − | 0.168438i | ||||
\(479\) | −33.0866 | − | 10.7505i | −1.51177 | − | 0.491203i | −0.568342 | − | 0.822792i | \(-0.692415\pi\) |
−0.943424 | + | 0.331589i | \(0.892415\pi\) | |||||||
\(480\) | 0.599095 | + | 7.56638i | 0.0273448 | + | 0.345356i | ||||
\(481\) | 3.66163 | + | 12.5919i | 0.166956 | + | 0.574142i | ||||
\(482\) | −2.17172 | + | 0.705634i | −0.0989190 | + | 0.0321407i | ||||
\(483\) | −17.3159 | + | 28.2871i | −0.787901 | + | 1.28711i | ||||
\(484\) | 10.5226 | − | 16.1435i | 0.478299 | − | 0.733797i | ||||
\(485\) | − | 15.3651i | − | 0.697695i | ||||||
\(486\) | −5.89307 | + | 5.05736i | −0.267315 | + | 0.229407i | ||||
\(487\) | −8.45287 | + | 11.6344i | −0.383036 | + | 0.527204i | −0.956386 | − | 0.292107i | \(-0.905644\pi\) |
0.573349 | + | 0.819311i | \(0.305644\pi\) | |||||||
\(488\) | 6.76742 | − | 4.91682i | 0.306347 | − | 0.222574i | ||||
\(489\) | 5.74964 | + | 6.72550i | 0.260008 | + | 0.304138i | ||||
\(490\) | 3.33754 | + | 1.08443i | 0.150775 | + | 0.0489896i | ||||
\(491\) | 20.4451 | − | 14.8542i | 0.922674 | − | 0.670362i | −0.0215143 | − | 0.999769i | \(-0.506849\pi\) |
0.944188 | + | 0.329407i | \(0.106849\pi\) | |||||||
\(492\) | 14.7110 | − | 6.10168i | 0.663225 | − | 0.275085i | ||||
\(493\) | −4.85754 | − | 14.9500i | −0.218772 | − | 0.673312i | ||||
\(494\) | 2.75275 | + | 2.13417i | 0.123852 | + | 0.0960209i | ||||
\(495\) | 6.89068 | − | 5.28853i | 0.309713 | − | 0.237702i | ||||
\(496\) | 5.23397i | 0.235012i | ||||||||
\(497\) | −9.34006 | − | 28.7457i | −0.418959 | − | 1.28942i | ||||
\(498\) | −0.283821 | − | 0.684288i | −0.0127183 | − | 0.0306637i | ||||
\(499\) | 13.2842 | + | 18.2841i | 0.594681 | + | 0.818509i | 0.995208 | − | 0.0977762i | \(-0.0311729\pi\) |
−0.400527 | + | 0.916285i | \(0.631173\pi\) | |||||||
\(500\) | −4.36575 | + | 13.4364i | −0.195242 | + | 0.600894i | ||||
\(501\) | 1.45810 | + | 1.70558i | 0.0651432 | + | 0.0761998i | ||||
\(502\) | −5.01702 | + | 3.64508i | −0.223921 | + | 0.162688i | ||||
\(503\) | −3.49312 | − | 2.53790i | −0.155751 | − | 0.113159i | 0.507181 | − | 0.861840i | \(-0.330688\pi\) |
−0.662931 | + | 0.748680i | \(0.730688\pi\) | |||||||
\(504\) | −15.4057 | − | 15.3765i | −0.686224 | − | 0.684924i | ||||
\(505\) | 10.3543 | 0.460760 | ||||||||
\(506\) | 7.16569 | − | 3.88281i | 0.318554 | − | 0.172612i | ||||
\(507\) | −6.60007 | + | 21.5276i | −0.293119 | + | 0.956076i | ||||
\(508\) | −21.6376 | + | 7.03049i | −0.960014 | + | 0.311927i | ||||
\(509\) | −6.16352 | − | 4.47806i | −0.273193 | − | 0.198487i | 0.442750 | − | 0.896645i | \(-0.354003\pi\) |
−0.715943 | + | 0.698159i | \(0.754003\pi\) | |||||||
\(510\) | −0.109529 | − | 1.38331i | −0.00485001 | − | 0.0612540i | ||||
\(511\) | 17.1672 | − | 52.8352i | 0.759432 | − | 2.33729i | ||||
\(512\) | 21.4271 | + | 6.96210i | 0.946955 | + | 0.307684i | ||||
\(513\) | −5.27714 | − | 8.58409i | −0.232991 | − | 0.378997i | ||||
\(514\) | 1.68359 | + | 1.22320i | 0.0742599 | + | 0.0539530i | ||||
\(515\) | −0.356301 | − | 1.09658i | −0.0157005 | − | 0.0483212i | ||||
\(516\) | 3.96658 | − | 6.47976i | 0.174619 | − | 0.285256i | ||||
\(517\) | −14.7104 | + | 30.7740i | −0.646962 | + | 1.35344i | ||||
\(518\) | −7.03343 | −0.309031 | ||||||||
\(519\) | 8.34175 | − | 34.8186i | 0.366162 | − | 1.52837i | ||||
\(520\) | 1.64270 | + | 5.64904i | 0.0720370 | + | 0.247727i | ||||
\(521\) | 14.6585 | + | 20.1757i | 0.642199 | + | 0.883912i | 0.998731 | − | 0.0503719i | \(-0.0160407\pi\) |
−0.356531 | + | 0.934283i | \(0.616041\pi\) | |||||||
\(522\) | 2.00689 | + | 12.5937i | 0.0878391 | + | 0.551212i | ||||
\(523\) | 0.115667 | + | 0.0375824i | 0.00505775 | + | 0.00164336i | 0.311545 | − | 0.950231i | \(-0.399154\pi\) |
−0.306487 | + | 0.951875i | \(0.599154\pi\) | |||||||
\(524\) | 10.4213 | − | 7.57149i | 0.455255 | − | 0.330762i | ||||
\(525\) | −10.9167 | − | 26.3199i | −0.476444 | − | 1.14870i | ||||
\(526\) | 3.53063 | − | 1.14717i | 0.153943 | − | 0.0500191i | ||||
\(527\) | − | 3.74795i | − | 0.163263i | ||||||
\(528\) | −3.81960 | − | 14.2762i | −0.166227 | − | 0.621290i | ||||
\(529\) | −1.33209 | −0.0579168 | ||||||||
\(530\) | 1.35802 | + | 4.17954i | 0.0589884 | + | 0.181548i | ||||
\(531\) | 6.57324 | − | 41.7580i | 0.285254 | − | 1.81214i | ||||
\(532\) | 10.6689 | − | 7.75144i | 0.462557 | − | 0.336067i | ||||
\(533\) | 15.6498 | − | 10.6412i | 0.677867 | − | 0.460920i | ||||
\(534\) | −2.17519 | − | 2.54438i | −0.0941297 | − | 0.110106i | ||||
\(535\) | 7.96807 | − | 5.78914i | 0.344490 | − | 0.250286i | ||||
\(536\) | 12.1470 | + | 8.82534i | 0.524672 | + | 0.381197i | ||||
\(537\) | −15.7660 | − | 3.77718i | −0.680352 | − | 0.162997i | ||||
\(538\) | −4.98924 | −0.215101 | ||||||||
\(539\) | −26.5308 | − | 3.51566i | −1.14276 | − | 0.151430i | ||||
\(540\) | 0.612225 | − | 7.92307i | 0.0263460 | − | 0.340955i | ||||
\(541\) | 7.58933 | + | 23.3575i | 0.326291 | + | 1.00422i | 0.970855 | + | 0.239669i | \(0.0770389\pi\) |
−0.644564 | + | 0.764550i | \(0.722961\pi\) | |||||||
\(542\) | −1.45904 | + | 2.00819i | −0.0626711 | + | 0.0862593i | ||||
\(543\) | −12.3339 | + | 0.976581i | −0.529298 | + | 0.0419091i | ||||
\(544\) | −8.79444 | − | 2.85749i | −0.377059 | − | 0.122514i | ||||
\(545\) | 2.60424 | − | 8.01503i | 0.111553 | − | 0.343326i | ||||
\(546\) | −10.0987 | − | 6.62319i | −0.432183 | − | 0.283446i | ||||
\(547\) | −26.2838 | + | 36.1766i | −1.12381 | + | 1.54680i | −0.324499 | + | 0.945886i | \(0.605196\pi\) |
−0.799315 | + | 0.600912i | \(0.794804\pi\) | |||||||
\(548\) | −8.24092 | − | 25.3630i | −0.352035 | − | 1.08345i | ||||
\(549\) | −11.9575 | + | 6.10693i | −0.510333 | + | 0.260637i | ||||
\(550\) | −0.919807 | + | 6.94127i | −0.0392207 | + | 0.295977i | ||||
\(551\) | −16.5474 | −0.704943 | ||||||||
\(552\) | 3.72044 | − | 15.5292i | 0.158353 | − | 0.660966i | ||||
\(553\) | 24.0297 | − | 33.0740i | 1.02185 | − | 1.40645i | ||||
\(554\) | 3.03947 | − | 2.20830i | 0.129135 | − | 0.0938218i | ||||
\(555\) | −3.57359 | − | 4.18013i | −0.151691 | − | 0.177437i | ||||
\(556\) | 25.0953 | + | 8.15395i | 1.06428 | + | 0.345805i | ||||
\(557\) | 12.7038 | + | 17.4852i | 0.538276 | + | 0.740874i | 0.988363 | − | 0.152111i | \(-0.0486071\pi\) |
−0.450087 | + | 0.892985i | \(0.648607\pi\) | |||||||
\(558\) | −0.472808 | + | 3.00361i | −0.0200155 | + | 0.127153i | ||||
\(559\) | 3.05601 | − | 8.49492i | 0.129255 | − | 0.359297i | ||||
\(560\) | 8.71817 | 0.368410 | ||||||||
\(561\) | 2.73515 | + | 10.2229i | 0.115478 | + | 0.431611i | ||||
\(562\) | −1.55269 | −0.0654961 | ||||||||
\(563\) | 3.22364 | + | 9.92133i | 0.135860 | + | 0.418134i | 0.995723 | − | 0.0923910i | \(-0.0294510\pi\) |
−0.859863 | + | 0.510525i | \(0.829451\pi\) | |||||||
\(564\) | 11.9554 | + | 28.8242i | 0.503412 | + | 1.21372i | ||||
\(565\) | −5.55823 | − | 7.65025i | −0.233836 | − | 0.321848i | ||||
\(566\) | −0.622686 | + | 1.91643i | −0.0261734 | + | 0.0805536i | ||||
\(567\) | 20.5891 | + | 28.2258i | 0.864662 | + | 1.18537i | ||||
\(568\) | 8.55377 | + | 11.7733i | 0.358908 | + | 0.493995i | ||||
\(569\) | 25.9757 | + | 18.8724i | 1.08896 | + | 0.791174i | 0.979223 | − | 0.202787i | \(-0.0649999\pi\) |
0.109735 | + | 0.993961i | \(0.465000\pi\) | |||||||
\(570\) | −1.42054 | − | 0.340330i | −0.0594999 | − | 0.0142548i | ||||
\(571\) | − | 37.4551i | − | 1.56745i | −0.621111 | − | 0.783723i | \(-0.713318\pi\) | ||
0.621111 | − | 0.783723i | \(-0.286682\pi\) | |||||||
\(572\) | −9.40147 | − | 18.7207i | −0.393095 | − | 0.782754i | ||||
\(573\) | 11.5905 | − | 18.9341i | 0.484199 | − | 0.790982i | ||||
\(574\) | 3.13663 | + | 9.65355i | 0.130920 | + | 0.402931i | ||||
\(575\) | 12.2873 | − | 16.9120i | 0.512416 | − | 0.705281i | ||||
\(576\) | −7.07228 | − | 3.59507i | −0.294678 | − | 0.149794i | ||||
\(577\) | −37.4428 | − | 12.1659i | −1.55876 | − | 0.506473i | −0.602286 | − | 0.798281i | \(-0.705743\pi\) |
−0.956477 | + | 0.291808i | \(0.905743\pi\) | |||||||
\(578\) | −6.44650 | − | 2.09460i | −0.268139 | − | 0.0871237i | ||||
\(579\) | 4.42905 | − | 0.350686i | 0.184065 | − | 0.0145740i | ||||
\(580\) | −10.5576 | − | 7.67056i | −0.438381 | − | 0.318502i | ||||
\(581\) | −3.16976 | + | 1.02992i | −0.131504 | + | 0.0427281i | ||||
\(582\) | −12.9524 | − | 7.92882i | −0.536896 | − | 0.328660i | ||||
\(583\) | −15.9668 | − | 29.4666i | −0.661278 | − | 1.22038i | ||||
\(584\) | 26.7478i | 1.10683i | ||||||||
\(585\) | −1.19468 | − | 9.36701i | −0.0493939 | − | 0.387278i | ||||
\(586\) | −11.6232 | − | 8.44474i | −0.480149 | − | 0.348849i | ||||
\(587\) | −4.05888 | + | 2.94895i | −0.167528 | + | 0.121716i | −0.668390 | − | 0.743811i | \(-0.733016\pi\) |
0.500862 | + | 0.865527i | \(0.333016\pi\) | |||||||
\(588\) | −18.6104 | + | 15.9100i | −0.767480 | + | 0.656119i | ||||
\(589\) | −3.75228 | − | 1.21919i | −0.154610 | − | 0.0502359i | ||||
\(590\) | −3.60195 | − | 4.95766i | −0.148290 | − | 0.204104i | ||||
\(591\) | 9.56004 | − | 3.96521i | 0.393247 | − | 0.163107i | ||||
\(592\) | −8.89858 | + | 2.89132i | −0.365729 | + | 0.118833i | ||||
\(593\) | − | 28.2693i | − | 1.16088i | −0.814303 | − | 0.580440i | \(-0.802880\pi\) | ||
0.814303 | − | 0.580440i | \(-0.197120\pi\) | |||||||
\(594\) | −0.902324 | − | 8.53769i | −0.0370228 | − | 0.350306i | ||||
\(595\) | −6.24292 | −0.255935 | ||||||||
\(596\) | −9.31467 | + | 3.02652i | −0.381544 | + | 0.123971i | ||||
\(597\) | −5.90017 | − | 14.2252i | −0.241478 | − | 0.582199i | ||||
\(598\) | 0.276134 | − | 8.85574i | 0.0112920 | − | 0.362138i | ||||
\(599\) | −30.5096 | − | 9.91318i | −1.24659 | − | 0.405042i | −0.389892 | − | 0.920860i | \(-0.627488\pi\) |
−0.856698 | + | 0.515819i | \(0.827488\pi\) | |||||||
\(600\) | 8.91481 | + | 10.4279i | 0.363945 | + | 0.425717i | ||||
\(601\) | −17.1447 | − | 23.5976i | −0.699346 | − | 0.962567i | −0.999961 | − | 0.00882185i | \(-0.997192\pi\) |
0.300615 | − | 0.953746i | \(-0.402808\pi\) | |||||||
\(602\) | 3.91735 | + | 2.84612i | 0.159659 | + | 0.115999i | ||||
\(603\) | −17.0574 | − | 17.0251i | −0.694631 | − | 0.693316i | ||||
\(604\) | 32.1622 | 1.30866 | ||||||||
\(605\) | 0.486365 | + | 9.59063i | 0.0197735 | + | 0.389914i | ||||
\(606\) | 5.34308 | − | 8.72840i | 0.217048 | − | 0.354567i | ||||
\(607\) | −11.0021 | + | 3.57479i | −0.446561 | + | 0.145096i | −0.523661 | − | 0.851927i | \(-0.675434\pi\) |
0.0770997 | + | 0.997023i | \(0.475434\pi\) | |||||||
\(608\) | −5.72159 | + | 7.87509i | −0.232041 | + | 0.319377i | ||||
\(609\) | 57.1944 | − | 4.52857i | 2.31763 | − | 0.183507i | ||||
\(610\) | −0.601474 | + | 1.85115i | −0.0243530 | + | 0.0749507i | ||||
\(611\) | 20.8499 | + | 30.6635i | 0.843495 | + | 1.24051i | ||||
\(612\) | 8.63045 | + | 4.38713i | 0.348865 | + | 0.177339i | ||||
\(613\) | 31.8404 | + | 23.1334i | 1.28602 | + | 0.934351i | 0.999717 | − | 0.0237876i | \(-0.00757253\pi\) |
0.286306 | + | 0.958138i | \(0.407573\pi\) | |||||||
\(614\) | −11.0446 | + | 3.58860i | −0.445722 | + | 0.144824i | ||||
\(615\) | −4.14364 | + | 6.76901i | −0.167088 | + | 0.272953i | ||||
\(616\) | 23.6643 | − | 4.36523i | 0.953462 | − | 0.175880i | ||||
\(617\) | −3.52572 | −0.141940 | −0.0709701 | − | 0.997478i | \(-0.522610\pi\) | ||||
−0.0709701 | + | 0.997478i | \(0.522610\pi\) | |||||||
\(618\) | −1.10825 | − | 0.265513i | −0.0445805 | − | 0.0106805i | ||||
\(619\) | −9.68945 | + | 13.3364i | −0.389452 | + | 0.536035i | −0.958058 | − | 0.286576i | \(-0.907483\pi\) |
0.568606 | + | 0.822610i | \(0.307483\pi\) | |||||||
\(620\) | −1.82889 | − | 2.51724i | −0.0734498 | − | 0.101095i | ||||
\(621\) | −9.77502 | + | 23.6942i | −0.392258 | + | 0.950816i | ||||
\(622\) | 1.77919 | − | 5.47577i | 0.0713389 | − | 0.219558i | ||||
\(623\) | −12.1837 | + | 8.85201i | −0.488131 | + | 0.354648i | ||||
\(624\) | −15.4993 | − | 4.22817i | −0.620470 | − | 0.169262i | ||||
\(625\) | 4.37228 | + | 13.4565i | 0.174891 | + | 0.538260i | ||||
\(626\) | − | 0.544298i | − | 0.0217545i | ||||||
\(627\) | 11.1244 | + | 0.587151i | 0.444268 | + | 0.0234486i | ||||
\(628\) | −10.3609 | −0.413447 | ||||||||
\(629\) | 6.37211 | − | 2.07042i | 0.254073 | − | 0.0825532i | ||||
\(630\) | 5.00309 | + | 0.787551i | 0.199328 | + | 0.0313768i | ||||
\(631\) | 5.12959 | + | 7.06028i | 0.204206 | + | 0.281065i | 0.898821 | − | 0.438317i | \(-0.144425\pi\) |
−0.694615 | + | 0.719382i | \(0.744425\pi\) | |||||||
\(632\) | −6.08252 | + | 18.7201i | −0.241950 | + | 0.744644i | ||||
\(633\) | 2.21995 | + | 2.59674i | 0.0882353 | + | 0.103211i | ||||
\(634\) | −1.57951 | − | 2.17401i | −0.0627304 | − | 0.0863410i | ||||
\(635\) | 6.66411 | − | 9.17235i | 0.264457 | − | 0.363994i | ||||
\(636\) | −29.8174 | − | 7.14358i | −1.18234 | − | 0.283261i | ||||
\(637\) | −17.8264 | + | 22.9932i | −0.706306 | + | 0.911024i | ||||
\(638\) | −12.7200 | − | 6.08034i | −0.503590 | − | 0.240723i | ||||
\(639\) | −10.6242 | − | 20.8024i | −0.420287 | − | 0.822930i | ||||
\(640\) | −9.42910 | + | 3.06370i | −0.372718 | + | 0.121103i | ||||
\(641\) | 11.7749 | − | 16.2067i | 0.465079 | − | 0.640127i | −0.510473 | − | 0.859894i | \(-0.670530\pi\) |
0.975552 | + | 0.219767i | \(0.0705297\pi\) | |||||||
\(642\) | −0.768368 | − | 9.70423i | −0.0303250 | − | 0.382996i | ||||
\(643\) | −23.4901 | − | 7.63239i | −0.926358 | − | 0.300992i | −0.193286 | − | 0.981143i | \(-0.561914\pi\) |
−0.733073 | + | 0.680150i | \(0.761914\pi\) | |||||||
\(644\) | −31.9032 | − | 10.3660i | −1.25716 | − | 0.408476i | ||||
\(645\) | 0.298839 | + | 3.77425i | 0.0117668 | + | 0.148611i | ||||
\(646\) | 1.04604 | − | 1.43975i | 0.0411559 | − | 0.0566462i | ||||
\(647\) | −37.2210 | + | 12.0938i | −1.46331 | + | 0.475457i | −0.929079 | − | 0.369882i | \(-0.879398\pi\) |
−0.534229 | + | 0.845340i | \(0.679398\pi\) | |||||||
\(648\) | −13.6275 | − | 9.86151i | −0.535337 | − | 0.387397i | ||||
\(649\) | 33.8722 | + | 32.1979i | 1.32960 | + | 1.26388i | ||||
\(650\) | 6.01574 | + | 4.66393i | 0.235957 | + | 0.182934i | ||||
\(651\) | 13.3030 | + | 3.18711i | 0.521387 | + | 0.124913i | ||||
\(652\) | −5.26023 | + | 7.24009i | −0.206007 | + | 0.283544i | ||||
\(653\) | 4.46306 | + | 6.14288i | 0.174653 | + | 0.240389i | 0.887365 | − | 0.461067i | \(-0.152533\pi\) |
−0.712712 | + | 0.701457i | \(0.752533\pi\) | |||||||
\(654\) | −5.41261 | − | 6.33127i | −0.211650 | − | 0.247572i | ||||
\(655\) | −1.98365 | + | 6.10504i | −0.0775076 | + | 0.238544i | ||||
\(656\) | 7.93682 | + | 10.9241i | 0.309881 | + | 0.426514i | ||||
\(657\) | 6.67602 | − | 42.4109i | 0.260456 | − | 1.65461i | ||||
\(658\) | −18.9148 | + | 6.14578i | −0.737374 | + | 0.239587i | ||||
\(659\) | −14.0082 | −0.545681 | −0.272840 | − | 0.962059i | \(-0.587963\pi\) | ||||
−0.272840 | + | 0.962059i | \(0.587963\pi\) | |||||||
\(660\) | 6.82548 | + | 5.53136i | 0.265681 | + | 0.215308i | ||||
\(661\) | 14.8127i | 0.576148i | 0.957608 | + | 0.288074i | \(0.0930148\pi\) | ||||
−0.957608 | + | 0.288074i | \(0.906985\pi\) | |||||||
\(662\) | −5.36142 | − | 16.5008i | −0.208378 | − | 0.641320i | ||||
\(663\) | 11.0988 | + | 3.02771i | 0.431041 | + | 0.117587i | ||||
\(664\) | 1.29822 | − | 0.943214i | 0.0503808 | − | 0.0366038i | ||||
\(665\) | −2.03079 | + | 6.25014i | −0.0787508 | + | 0.242370i | ||||
\(666\) | −5.36781 | + | 0.855394i | −0.207998 | + | 0.0331459i | ||||
\(667\) | 24.7407 | + | 34.0527i | 0.957965 | + | 1.31853i | ||||
\(668\) | −1.33399 | + | 1.83608i | −0.0516137 | + | 0.0710401i | ||||
\(669\) | 9.35141 | + | 2.24039i | 0.361547 | + | 0.0866184i | ||||
\(670\) | −3.49367 | −0.134972 | ||||||||
\(671\) | 1.94994 | − | 14.7151i | 0.0752766 | − | 0.568071i | ||||
\(672\) | 17.6209 | − | 28.7853i | 0.679741 | − | 1.11042i | ||||
\(673\) | 18.9442 | − | 6.15534i | 0.730245 | − | 0.237271i | 0.0797858 | − | 0.996812i | \(-0.474576\pi\) |
0.650459 | + | 0.759541i | \(0.274576\pi\) | |||||||
\(674\) | 10.2326 | + | 7.43439i | 0.394143 | + | 0.286362i | ||||
\(675\) | −11.5324 | − | 18.7593i | −0.443884 | − | 0.722047i | ||||
\(676\) | −22.7296 | − | 1.41886i | −0.874214 | − | 0.0545714i | ||||
\(677\) | −9.81918 | + | 30.2203i | −0.377382 | + | 1.16146i | 0.564476 | + | 0.825449i | \(0.309078\pi\) |
−0.941858 | + | 0.336012i | \(0.890922\pi\) | |||||||
\(678\) | −9.31716 | + | 0.737720i | −0.357823 | + | 0.0283319i | ||||
\(679\) | −40.1596 | + | 55.2749i | −1.54118 | + | 2.12126i | ||||
\(680\) | 2.85868 | − | 0.928841i | 0.109625 | − | 0.0356194i | ||||
\(681\) | 19.9693 | − | 32.6216i | 0.765224 | − | 1.25006i | ||||
\(682\) | −2.43640 | − | 2.31597i | −0.0932944 | − | 0.0886831i | ||||
\(683\) | 4.26811 | 0.163315 | 0.0816573 | − | 0.996660i | \(-0.473979\pi\) | ||||
0.0816573 | + | 0.996660i | \(0.473979\pi\) | |||||||
\(684\) | 7.19966 | − | 7.21332i | 0.275286 | − | 0.275808i | ||||
\(685\) | 10.7516 | + | 7.81146i | 0.410796 | + | 0.298461i | ||||
\(686\) | −1.21540 | − | 1.67285i | −0.0464042 | − | 0.0638699i | ||||
\(687\) | −13.8627 | − | 16.2156i | −0.528897 | − | 0.618665i | ||||
\(688\) | 6.12616 | + | 1.99051i | 0.233558 | + | 0.0758875i | ||||
\(689\) | −36.4164 | − | 1.13551i | −1.38735 | − | 0.0432596i | ||||
\(690\) | 1.42355 | + | 3.43215i | 0.0541936 | + | 0.130660i | ||||
\(691\) | −7.79625 | + | 2.53315i | −0.296583 | + | 0.0963658i | −0.453529 | − | 0.891241i | \(-0.649835\pi\) |
0.156946 | + | 0.987607i | \(0.449835\pi\) | |||||||
\(692\) | 36.2127 | 1.37660 | ||||||||
\(693\) | −38.6112 | + | 1.01503i | −1.46672 | + | 0.0385578i | ||||
\(694\) | − | 7.15268i | − | 0.271512i | ||||||
\(695\) | −12.5058 | + | 4.06339i | −0.474373 | + | 0.154133i | ||||
\(696\) | −25.5160 | + | 10.5832i | −0.967180 | + | 0.401156i | ||||
\(697\) | −5.68341 | − | 7.82254i | −0.215274 | − | 0.296300i | ||||
\(698\) | 4.01576 | + | 1.30480i | 0.151999 | + | 0.0493874i | ||||
\(699\) | 15.1721 | − | 12.9706i | 0.573860 | − | 0.490593i | ||||
\(700\) | 23.3155 | − | 16.9397i | 0.881242 | − | 0.640260i | ||||
\(701\) | −0.331892 | − | 0.241134i | −0.0125354 | − | 0.00910750i | 0.581500 | − | 0.813546i | \(-0.302466\pi\) |
−0.594035 | + | 0.804439i | \(0.702466\pi\) | |||||||
\(702\) | −8.51264 | − | 3.82654i | −0.321289 | − | 0.144423i | ||||
\(703\) | − | 7.05298i | − | 0.266008i | ||||||
\(704\) | 7.71155 | − | 4.17859i | 0.290640 | − | 0.157487i | ||||
\(705\) | −13.2629 | − | 8.11888i | −0.499510 | − | 0.305775i | ||||
\(706\) | −5.46128 | + | 1.77448i | −0.205538 | + | 0.0667833i | ||||
\(707\) | −37.2487 | − | 27.0628i | −1.40088 | − | 1.01780i | ||||
\(708\) | 42.6215 | − | 3.37471i | 1.60181 | − | 0.126829i | ||||
\(709\) | −23.4215 | − | 7.61009i | −0.879611 | − | 0.285803i | −0.165815 | − | 0.986157i | \(-0.553026\pi\) |
−0.713796 | + | 0.700354i | \(0.753026\pi\) | |||||||
\(710\) | −3.22043 | − | 1.04638i | −0.120861 | − | 0.0392700i | ||||
\(711\) | 14.3167 | − | 28.1641i | 0.536918 | − | 1.05623i | ||||
\(712\) | 4.26200 | − | 5.86614i | 0.159725 | − | 0.219843i | ||||
\(713\) | 3.10124 | + | 9.54464i | 0.116142 | + | 0.357450i | ||||
\(714\) | −3.22151 | + | 5.26262i | −0.120562 | + | 0.196949i | ||||
\(715\) | 9.27385 | + | 4.79365i | 0.346822 | + | 0.179272i | ||||
\(716\) | − | 16.3973i | − | 0.612795i | ||||||
\(717\) | −13.0922 | − | 3.13661i | −0.488939 | − | 0.117139i | ||||
\(718\) | 1.02166 | + | 0.742276i | 0.0381279 | + | 0.0277015i | ||||
\(719\) | 11.4348 | + | 15.7387i | 0.426447 | + | 0.586954i | 0.967133 | − | 0.254270i | \(-0.0818352\pi\) |
−0.540686 | + | 0.841225i | \(0.681835\pi\) | |||||||
\(720\) | 6.65358 | − | 1.06029i | 0.247964 | − | 0.0395146i | ||||
\(721\) | −1.58435 | + | 4.87613i | −0.0590043 | + | 0.181597i | ||||
\(722\) | 4.46234 | + | 6.14188i | 0.166071 | + | 0.228577i | ||||
\(723\) | 3.04172 | + | 7.33353i | 0.113123 | + | 0.272737i | ||||
\(724\) | −3.86697 | − | 11.9013i | −0.143715 | − | 0.442309i | ||||
\(725\) | −36.1620 | −1.34302 | ||||||||
\(726\) | 8.33564 | + | 4.53902i | 0.309364 | + | 0.168459i | ||||
\(727\) | −17.6771 | −0.655607 | −0.327804 | − | 0.944746i | \(-0.606308\pi\) | ||||
−0.327804 | + | 0.944746i | \(0.606308\pi\) | |||||||
\(728\) | 8.85531 | − | 24.6155i | 0.328199 | − | 0.912309i | ||||
\(729\) | 19.1461 | + | 19.0375i | 0.709115 | + | 0.705093i | ||||
\(730\) | −3.65827 | − | 5.03518i | −0.135399 | − | 0.186360i | ||||
\(731\) | −4.38683 | − | 1.42537i | −0.162253 | − | 0.0527191i | ||||
\(732\) | −8.82441 | − | 10.3221i | −0.326160 | − | 0.381518i | ||||
\(733\) | −22.0258 | + | 16.0027i | −0.813543 | + | 0.591073i | −0.914856 | − | 0.403781i | \(-0.867696\pi\) |
0.101313 | + | 0.994855i | \(0.467696\pi\) | |||||||
\(734\) | −9.70532 | + | 13.3582i | −0.358230 | + | 0.493061i | ||||
\(735\) | 2.84271 | − | 11.8655i | 0.104855 | − | 0.437666i | ||||
\(736\) | 24.7607 | 0.912690 | ||||||||
\(737\) | 26.2015 | − | 4.83325i | 0.965144 | − | 0.178035i | ||||
\(738\) | 3.56788 | + | 6.98597i | 0.131335 | + | 0.257157i | ||||
\(739\) | −0.685319 | − | 2.10919i | −0.0252099 | − | 0.0775880i | 0.937660 | − | 0.347554i | \(-0.112988\pi\) |
−0.962870 | + | 0.269966i | \(0.912988\pi\) | |||||||
\(740\) | 3.26941 | − | 4.49996i | 0.120186 | − | 0.165422i | ||||
\(741\) | 6.64160 | − | 10.1267i | 0.243985 | − | 0.372014i | ||||
\(742\) | 6.03863 | − | 18.5850i | 0.221685 | − | 0.682277i | ||||
\(743\) | 36.7932 | + | 11.9548i | 1.34981 | + | 0.438580i | 0.892629 | − | 0.450793i | \(-0.148859\pi\) |
0.457182 | + | 0.889373i | \(0.348859\pi\) | |||||||
\(744\) | −6.56575 | + | 0.519867i | −0.240712 | + | 0.0190593i | ||||
\(745\) | 2.86880 | − | 3.94856i | 0.105105 | − | 0.144664i | ||||
\(746\) | 0.637600 | + | 1.96233i | 0.0233442 | + | 0.0718460i | ||||
\(747\) | −2.29386 | + | 1.17152i | −0.0839278 | + | 0.0428636i | ||||
\(748\) | −9.41057 | + | 5.09922i | −0.344084 | + | 0.186446i | ||||
\(749\) | −43.7955 | −1.60025 | ||||||||
\(750\) | −6.76706 | − | 1.62124i | −0.247098 | − | 0.0591992i | ||||
\(751\) | −0.822627 | − | 0.597673i | −0.0300181 | − | 0.0218094i | 0.572675 | − | 0.819782i | \(-0.305906\pi\) |
−0.602693 | + | 0.797973i | \(0.705906\pi\) | |||||||
\(752\) | −21.4042 | + | 15.5511i | −0.780531 | + | 0.567089i | ||||
\(753\) | 14.0107 | + | 16.3887i | 0.510578 | + | 0.597237i | ||||
\(754\) | −12.6743 | + | 8.61801i | −0.461572 | + | 0.313849i | ||||
\(755\) | −12.9665 | + | 9.42074i | −0.471901 | + | 0.342856i | ||||
\(756\) | −22.9108 | + | 26.9025i | −0.833258 | + | 0.978433i | ||||
\(757\) | −11.6916 | − | 35.9831i | −0.424939 | − | 1.30783i | −0.903053 | − | 0.429530i | \(-0.858679\pi\) |
0.478114 | − | 0.878298i | \(-0.341321\pi\) | |||||||
\(758\) | 14.7601 | 0.536109 | ||||||||
\(759\) | −15.4244 | − | 23.7707i | −0.559868 | − | 0.862823i | ||||
\(760\) | − | 3.16414i | − | 0.114775i | ||||||
\(761\) | −24.5367 | + | 7.97246i | −0.889455 | + | 0.289001i | −0.717878 | − | 0.696169i | \(-0.754886\pi\) |
−0.171577 | + | 0.985171i | \(0.554886\pi\) | |||||||
\(762\) | −4.29321 | − | 10.3509i | −0.155527 | − | 0.374972i | ||||
\(763\) | −30.3173 | + | 22.0268i | −1.09756 | + | 0.797423i | ||||
\(764\) | 21.3545 | + | 6.93850i | 0.772579 | + | 0.251026i | ||||
\(765\) | −4.76450 | + | 0.759253i | −0.172261 | + | 0.0274509i | ||||
\(766\) | 2.76589 | + | 3.80692i | 0.0999356 | + | 0.137550i | ||||
\(767\) | 48.7841 | − | 14.1860i | 1.76149 | − | 0.512228i | ||||
\(768\) | −0.148692 | + | 0.620641i | −0.00536545 | + | 0.0223954i | ||||
\(769\) | 16.0374 | 0.578324 | 0.289162 | − | 0.957280i | \(-0.406623\pi\) | ||||
0.289162 | + | 0.957280i | \(0.406623\pi\) | |||||||
\(770\) | −3.85769 | + | 4.05828i | −0.139022 | + | 0.146250i | ||||
\(771\) | 3.77758 | − | 6.17102i | 0.136046 | − | 0.222244i | ||||
\(772\) | 1.38862 | + | 4.27372i | 0.0499774 | + | 0.153814i | ||||
\(773\) | −30.1408 | − | 21.8986i | −1.08409 | − | 0.787636i | −0.105697 | − | 0.994398i | \(-0.533707\pi\) |
−0.978391 | + | 0.206762i | \(0.933707\pi\) | |||||||
\(774\) | 3.33580 | + | 1.69570i | 0.119903 | + | 0.0609505i | ||||
\(775\) | −8.20009 | − | 2.66437i | −0.294556 | − | 0.0957070i | ||||
\(776\) | 10.1654 | − | 31.2859i | 0.364917 | − | 1.12310i | ||||
\(777\) | 1.93021 | + | 24.3779i | 0.0692459 | + | 0.874553i | ||||
\(778\) | −0.744228 | − | 0.540714i | −0.0266819 | − | 0.0193855i | ||||
\(779\) | −9.68038 | + | 3.14535i | −0.346836 | + | 0.112694i | ||||
\(780\) | 8.93174 | − | 3.38236i | 0.319808 | − | 0.121108i | ||||
\(781\) | 25.5999 | + | 3.39231i | 0.916035 | + | 0.121386i | ||||
\(782\) | −4.52682 | −0.161879 | ||||||||
\(783\) | 43.0991 | − | 10.4120i | 1.54024 | − | 0.372095i | ||||
\(784\) | −16.7942 | − | 12.2017i | −0.599791 | − | 0.435774i | ||||
\(785\) | 4.17712 | − | 3.03486i | 0.149088 | − | 0.108319i | ||||
\(786\) | 4.12278 | + | 4.82253i | 0.147055 | + | 0.172014i | ||||
\(787\) | −8.86914 | + | 27.2964i | −0.316151 | + | 0.973012i | 0.659127 | + | 0.752031i | \(0.270926\pi\) |
−0.975278 | + | 0.220981i | \(0.929074\pi\) | |||||||
\(788\) | 6.15290 | + | 8.46874i | 0.219188 | + | 0.301686i | ||||
\(789\) | −4.94503 | − | 11.9224i | −0.176048 | − | 0.424447i | ||||
\(790\) | −1.41531 | − | 4.35588i | −0.0503545 | − | 0.154975i | ||||
\(791\) | 42.0486i | 1.49508i | ||||||||
\(792\) | 17.5294 | − | 6.20949i | 0.622878 | − | 0.220645i | ||||
\(793\) | −12.7531 | − | 9.88729i | −0.452874 | − | 0.351108i | ||||
\(794\) | 5.91591 | + | 18.2073i | 0.209948 | + | 0.646153i | ||||
\(795\) | 14.1136 | − | 5.85390i | 0.500559 | − | 0.207616i | ||||
\(796\) | 12.6014 | − | 9.15543i | 0.446644 | − | 0.324506i | ||||
\(797\) | −51.7652 | − | 16.8195i | −1.83362 | − | 0.595778i | −0.998989 | − | 0.0449646i | \(-0.985683\pi\) |
−0.834628 | − | 0.550814i | \(-0.814317\pi\) | |||||||
\(798\) | 4.22077 | + | 4.93715i | 0.149414 | + | 0.174773i | ||||
\(799\) | 15.3272 | − | 11.1358i | 0.542236 | − | 0.393957i | ||||
\(800\) | −12.5037 | + | 17.2099i | −0.442074 | + | 0.608462i | ||||
\(801\) | −8.22188 | + | 8.23749i | −0.290506 | + | 0.291057i | ||||
\(802\) | − | 7.24793i | − | 0.255933i | ||||||
\(803\) | 34.4018 | + | 32.7014i | 1.21401 | + | 1.15401i | ||||
\(804\) | 12.7262 | − | 20.7893i | 0.448817 | − | 0.733182i | ||||
\(805\) | 15.8984 | − | 5.16571i | 0.560346 | − | 0.182067i | ||||
\(806\) | −3.50900 | + | 1.02039i | −0.123599 | + | 0.0359416i | ||||
\(807\) | 1.36921 | + | 17.2927i | 0.0481986 | + | 0.608732i | ||||
\(808\) | 21.0830 | + | 6.85027i | 0.741696 | + | 0.240992i | ||||
\(809\) | −4.45769 | + | 13.7194i | −0.156724 | + | 0.482347i | −0.998332 | − | 0.0577426i | \(-0.981610\pi\) |
0.841607 | + | 0.540090i | \(0.181610\pi\) | |||||||
\(810\) | 3.91407 | − | 0.00742007i | 0.137526 | − | 0.000260715i | ||||
\(811\) | 24.2550 | + | 17.6223i | 0.851707 | + | 0.618801i | 0.925616 | − | 0.378464i | \(-0.123548\pi\) |
−0.0739094 | + | 0.997265i | \(0.523548\pi\) | |||||||
\(812\) | 17.9318 | + | 55.1885i | 0.629283 | + | 1.93674i | ||||
\(813\) | 7.36082 | + | 4.50592i | 0.258155 | + | 0.158030i | ||||
\(814\) | 2.59162 | − | 5.42164i | 0.0908362 | − | 0.190028i | ||||
\(815\) | − | 4.45971i | − | 0.156217i | ||||||
\(816\) | −1.91243 | + | 7.98249i | −0.0669483 | + | 0.279443i | ||||
\(817\) | −2.85403 | + | 3.92824i | −0.0998499 | + | 0.137432i | ||||
\(818\) | −3.96076 | − | 5.45152i | −0.138485 | − | 0.190608i | ||||
\(819\) | −20.1846 | + | 36.8196i | −0.705307 | + | 1.28658i | ||||
\(820\) | −7.63433 | − | 2.48054i | −0.266602 | − | 0.0866244i | ||||
\(821\) | 6.30284 | + | 8.67512i | 0.219971 | + | 0.302764i | 0.904713 | − | 0.426022i | \(-0.140085\pi\) |
−0.684742 | + | 0.728785i | \(0.740085\pi\) | |||||||
\(822\) | 12.1330 | − | 5.03237i | 0.423185 | − | 0.175524i | ||||
\(823\) | −8.58363 | − | 26.4177i | −0.299206 | − | 0.920863i | −0.981776 | − | 0.190042i | \(-0.939138\pi\) |
0.682569 | − | 0.730821i | \(-0.260862\pi\) | |||||||
\(824\) | − | 2.46854i | − | 0.0859958i | ||||||
\(825\) | 24.3109 | + | 1.28314i | 0.846398 | + | 0.0446731i | ||||
\(826\) | 27.2492i | 0.948120i | ||||||||
\(827\) | −7.60673 | + | 2.47158i | −0.264512 | + | 0.0859451i | −0.438270 | − | 0.898843i | \(-0.644409\pi\) |
0.173759 | + | 0.984788i | \(0.444409\pi\) | |||||||
\(828\) | −25.6087 | − | 4.03114i | −0.889965 | − | 0.140092i | ||||
\(829\) | −12.2379 | + | 8.89135i | −0.425040 | + | 0.308809i | −0.779662 | − | 0.626200i | \(-0.784609\pi\) |
0.354623 | + | 0.935009i | \(0.384609\pi\) | |||||||
\(830\) | −0.115383 | + | 0.355113i | −0.00400501 | + | 0.0123262i | ||||
\(831\) | −8.48813 | − | 9.92879i | −0.294450 | − | 0.344426i | ||||
\(832\) | 0.297169 | − | 9.53034i | 0.0103025 | − | 0.330405i | ||||
\(833\) | 12.0260 | + | 8.73739i | 0.416676 | + | 0.302733i | ||||
\(834\) | −3.02800 | + | 12.6389i | −0.104851 | + | 0.437650i | ||||
\(835\) | − | 1.13098i | − | 0.0391391i | ||||||
\(836\) | 2.04391 | + | 11.0802i | 0.0706900 | + | 0.383217i | ||||
\(837\) | 10.5403 | + | 0.814462i | 0.364326 | + | 0.0281519i | ||||
\(838\) | −3.92948 | − | 12.0937i | −0.135742 | − | 0.417770i | ||||
\(839\) | −1.06252 | − | 0.771966i | −0.0366823 | − | 0.0266512i | 0.569293 | − | 0.822135i | \(-0.307217\pi\) |
−0.605975 | + | 0.795483i | \(0.707217\pi\) | |||||||
\(840\) | 0.865938 | + | 10.9365i | 0.0298777 | + | 0.377346i | ||||
\(841\) | 13.5389 | − | 41.6685i | 0.466859 | − | 1.43684i | ||||
\(842\) | −4.17752 | + | 12.8571i | −0.143967 | + | 0.443085i | ||||
\(843\) | 0.426109 | + | 5.38162i | 0.0146760 | + | 0.185353i | ||||
\(844\) | −2.03099 | + | 2.79542i | −0.0699097 | + | 0.0962225i | ||||
\(845\) | 9.57925 | − | 6.08576i | 0.329536 | − | 0.209356i | ||||
\(846\) | −13.6880 | + | 6.99075i | −0.470604 | + | 0.240347i | ||||
\(847\) | 23.3172 | − | 35.7727i | 0.801188 | − | 1.22917i | ||||
\(848\) | − | 25.9958i | − | 0.892700i | ||||||
\(849\) | 6.81324 | + | 1.63230i | 0.233830 | + | 0.0560204i | ||||
\(850\) | 2.28597 | − | 3.14637i | 0.0784082 | − | 0.107920i | ||||
\(851\) | −14.5142 | + | 10.5452i | −0.497542 | + | 0.361485i | ||||
\(852\) | 17.9574 | − | 15.3518i | 0.615211 | − | 0.525944i | ||||
\(853\) | −2.67890 | + | 8.24481i | −0.0917239 | + | 0.282297i | −0.986386 | − | 0.164446i | \(-0.947416\pi\) |
0.894662 | + | 0.446743i | \(0.147416\pi\) | |||||||
\(854\) | 7.00206 | − | 5.08729i | 0.239605 | − | 0.174084i | ||||
\(855\) | −0.789740 | + | 5.01700i | −0.0270085 | + | 0.171578i | ||||
\(856\) | 20.0543 | − | 6.51603i | 0.685441 | − | 0.222713i | ||||
\(857\) | −16.7471 | −0.572069 | −0.286034 | − | 0.958219i | \(-0.592337\pi\) | ||||
−0.286034 | + | 0.958219i | \(0.592337\pi\) | |||||||
\(858\) | 8.82648 | − | 5.34398i | 0.301331 | − | 0.182440i | ||||
\(859\) | 55.6269 | 1.89797 | 0.948983 | − | 0.315328i | \(-0.102115\pi\) | ||||
0.948983 | + | 0.315328i | \(0.102115\pi\) | |||||||
\(860\) | −3.64187 | + | 1.18332i | −0.124187 | + | 0.0403508i | ||||
\(861\) | 32.5985 | − | 13.5208i | 1.11095 | − | 0.460789i | ||||
\(862\) | −7.71396 | + | 5.60452i | −0.262738 | + | 0.190891i | ||||
\(863\) | 5.88567 | − | 18.1142i | 0.200351 | − | 0.616616i | −0.799522 | − | 0.600637i | \(-0.794914\pi\) |
0.999872 | − | 0.0159785i | \(-0.00508632\pi\) | |||||||
\(864\) | 9.94719 | − | 24.1115i | 0.338410 | − | 0.820291i | ||||
\(865\) | −14.5995 | + | 10.6072i | −0.496399 | + | 0.360655i | ||||
\(866\) | 3.32333 | − | 4.57416i | 0.112931 | − | 0.155436i | ||||
\(867\) | −5.49074 | + | 22.9184i | −0.186475 | + | 0.778351i | ||||
\(868\) | 13.8357i | 0.469615i | ||||||||
\(869\) | 16.6405 | + | 30.7098i | 0.564490 | + | 1.04176i | ||||
\(870\) | 3.35583 | − | 5.48205i | 0.113773 | − | 0.185859i | ||||
\(871\) | 9.80473 | − | 27.2546i | 0.332221 | − | 0.923487i | ||||
\(872\) | 10.6053 | − | 14.5969i | 0.359141 | − | 0.494315i | ||||
\(873\) | −23.9268 | + | 47.0691i | −0.809798 | + | 1.59305i | ||||
\(874\) | −1.47256 | + | 4.53206i | −0.0498100 | + | 0.153299i | ||||
\(875\) | −9.67414 | + | 29.7740i | −0.327046 | + | 1.00654i | ||||
\(876\) | 43.2879 | − | 3.42748i | 1.46256 | − | 0.115804i | ||||
\(877\) | 27.4489 | + | 19.9428i | 0.926885 | + | 0.673421i | 0.945228 | − | 0.326410i | \(-0.105839\pi\) |
−0.0183432 | + | 0.999832i | \(0.505839\pi\) | |||||||
\(878\) | −0.581010 | − | 1.78816i | −0.0196081 | − | 0.0603476i | ||||
\(879\) | −26.0797 | + | 42.6035i | −0.879647 | + | 1.43698i | ||||
\(880\) | −3.21240 | + | 6.72030i | −0.108290 | + | 0.226541i | ||||
\(881\) | − | 6.98549i | − | 0.235347i | −0.993052 | − | 0.117674i | \(-0.962456\pi\) | ||
0.993052 | − | 0.117674i | \(-0.0375437\pi\) | |||||||
\(882\) | −8.53542 | − | 8.51926i | −0.287403 | − | 0.286858i | ||||
\(883\) | 5.77464 | + | 4.19552i | 0.194332 | + | 0.141191i | 0.680697 | − | 0.732565i | \(-0.261677\pi\) |
−0.486364 | + | 0.873756i | \(0.661677\pi\) | |||||||
\(884\) | −0.362641 | + | 11.6301i | −0.0121969 | + | 0.391162i | ||||
\(885\) | −16.1948 | + | 13.8449i | −0.544382 | + | 0.465393i | ||||
\(886\) | 3.29624 | − | 10.1448i | 0.110739 | − | 0.340821i | ||||
\(887\) | 9.81675 | − | 7.13229i | 0.329614 | − | 0.239479i | −0.410653 | − | 0.911792i | \(-0.634699\pi\) |
0.740267 | + | 0.672313i | \(0.234699\pi\) | |||||||
\(888\) | −4.51088 | − | 10.8757i | −0.151375 | − | 0.364963i | ||||
\(889\) | −47.9472 | + | 15.5790i | −1.60810 | + | 0.522503i | ||||
\(890\) | 1.68719i | 0.0565547i | ||||||||
\(891\) | −29.3441 | + | 5.47049i | −0.983063 | + | 0.183268i | ||||
\(892\) | 9.72585i | 0.325646i | ||||||||
\(893\) | −6.16286 | − | 18.9673i | −0.206232 | − | 0.634717i | ||||
\(894\) | −1.84816 | − | 4.45588i | −0.0618118 | − | 0.149027i | ||||
\(895\) | 4.80297 | + | 6.61073i | 0.160546 | + | 0.220972i | ||||
\(896\) | 41.9280 | + | 13.6232i | 1.40072 | + | 0.455120i | ||||
\(897\) | −30.7698 | + | 1.47323i | −1.02737 | + | 0.0491897i | ||||
\(898\) | −10.9967 | − | 15.1357i | −0.366965 | − | 0.505083i | ||||
\(899\) | 10.2044 | − | 14.0451i | 0.340335 | − | 0.468431i | ||||
\(900\) | 15.7338 | − | 15.7637i | 0.524461 | − | 0.525457i | ||||
\(901\) | 18.6151i | 0.620159i | ||||||||
\(902\) | −8.59709 | − | 1.13922i | −0.286252 | − | 0.0379320i | ||||
\(903\) | 8.78962 | − | 14.3586i | 0.292500 | − | 0.477825i | ||||
\(904\) | −6.25613 | − | 19.2544i | −0.208076 | − | 0.640391i | ||||
\(905\) | 5.04506 | + | 3.66545i | 0.167704 | + | 0.121844i | ||||
\(906\) | 1.25037 | + | 15.7918i | 0.0415409 | + | 0.524648i | ||||
\(907\) | 14.4619 | − | 44.5092i | 0.480201 | − | 1.47791i | −0.358613 | − | 0.933486i | \(-0.616750\pi\) |
0.838813 | − | 0.544419i | \(-0.183250\pi\) | |||||||
\(908\) | 36.7918 | + | 11.9544i | 1.22098 | + | 0.396720i | ||||
\(909\) | −31.7190 | − | 16.1238i | −1.05205 | − | 0.534792i | ||||
\(910\) | 1.69965 | + | 5.84490i | 0.0563429 | + | 0.193757i | ||||
\(911\) | 53.4336 | − | 17.3616i | 1.77033 | − | 0.575216i | 0.772149 | − | 0.635441i | \(-0.219182\pi\) |
0.998185 | + | 0.0602250i | \(0.0191818\pi\) | |||||||
\(912\) | 7.36962 | + | 4.51131i | 0.244033 | + | 0.149384i | ||||
\(913\) | 0.374065 | − | 2.82287i | 0.0123798 | − | 0.0934232i | ||||
\(914\) | − | 2.72515i | − | 0.0901399i | ||||||
\(915\) | 6.58114 | + | 1.57669i | 0.217566 | + | 0.0521239i | ||||
\(916\) | 12.6828 | − | 17.4563i | 0.419050 | − | 0.576773i | ||||
\(917\) | 23.0927 | − | 16.7778i | 0.762587 | − | 0.554052i | ||||
\(918\) | −1.81858 | + | 4.40815i | −0.0600220 | + | 0.145491i | ||||
\(919\) | −15.7874 | − | 5.12964i | −0.520778 | − | 0.169211i | 0.0368203 | − | 0.999322i | \(-0.488277\pi\) |
−0.557598 | + | 0.830111i | \(0.688277\pi\) | |||||||
\(920\) | −6.51144 | + | 4.73084i | −0.214676 | + | 0.155971i | ||||
\(921\) | 15.4691 | + | 37.2957i | 0.509724 | + | 1.22893i | ||||
\(922\) | −3.57147 | − | 10.9919i | −0.117620 | − | 0.361997i | ||||
\(923\) | 17.2009 | − | 22.1864i | 0.566174 | − | 0.730276i | ||||
\(924\) | −10.0969 | − | 37.7383i | −0.332164 | − | 1.24150i | ||||
\(925\) | − | 15.4133i | − | 0.506786i | ||||||
\(926\) | 1.74811 | + | 5.38014i | 0.0574465 | + | 0.176802i | ||||
\(927\) | −0.616126 | + | 3.91408i | −0.0202362 | + | 0.128555i | ||||
\(928\) | −25.1765 | − | 34.6525i | −0.826459 | − | 1.13752i | ||||
\(929\) | −2.33531 | + | 7.18736i | −0.0766191 | + | 0.235809i | −0.982029 | − | 0.188728i | \(-0.939563\pi\) |
0.905410 | + | 0.424538i | \(0.139563\pi\) | |||||||
\(930\) | 1.16488 | − | 0.995855i | 0.0381978 | − | 0.0326554i | ||||
\(931\) | 12.6595 | − | 9.19766i | 0.414898 | − | 0.301441i | ||||
\(932\) | 16.3329 | + | 11.8666i | 0.535003 | + | 0.388702i | ||||
\(933\) | −19.4673 | − | 4.66393i | −0.637331 | − | 0.152690i | ||||
\(934\) | 1.58630 | 0.0519053 | ||||||||
\(935\) | 2.30034 | − | 4.81228i | 0.0752290 | − | 0.157378i | ||||
\(936\) | 3.76455 | − | 19.8631i | 0.123048 | − | 0.649246i | ||||
\(937\) | −4.27858 | + | 1.39020i | −0.139775 | + | 0.0454157i | −0.378069 | − | 0.925777i | \(-0.623412\pi\) |
0.238294 | + | 0.971193i | \(0.423412\pi\) | |||||||
\(938\) | 12.5682 | + | 9.13133i | 0.410366 | + | 0.298149i | ||||
\(939\) | −1.88654 | + | 0.149374i | −0.0615649 | + | 0.00487462i | ||||
\(940\) | 4.86027 | − | 14.9584i | 0.158525 | − | 0.487889i | ||||
\(941\) | −47.2336 | − | 15.3471i | −1.53977 | − | 0.500302i | −0.588459 | − | 0.808527i | \(-0.700265\pi\) |
−0.951313 | + | 0.308225i | \(0.900265\pi\) | |||||||
\(942\) | −0.402803 | − | 5.08727i | −0.0131240 | − | 0.165752i | ||||
\(943\) | 20.9463 | + | 15.2184i | 0.682106 | + | 0.495579i | ||||
\(944\) | 11.2017 | + | 34.4752i | 0.364583 | + | 1.12207i | ||||
\(945\) | 1.35664 | − | 17.5569i | 0.0441315 | − | 0.571125i | ||||
\(946\) | −3.63733 | + | 1.97093i | −0.118260 | + | 0.0640805i | ||||
\(947\) | −7.29996 | −0.237217 | −0.118608 | − | 0.992941i | \(-0.537843\pi\) | ||||
−0.118608 | + | 0.992941i | \(0.537843\pi\) | |||||||
\(948\) | 31.0754 | + | 7.44497i | 1.00928 | + | 0.241802i | ||||
\(949\) | 49.5468 | − | 14.4078i | 1.60836 | − | 0.467698i | ||||
\(950\) | −2.40640 | − | 3.31212i | −0.0780738 | − | 0.107459i | ||||
\(951\) | −7.10166 | + | 6.07121i | −0.230287 | + | 0.196873i | ||||
\(952\) | −12.7116 | − | 4.13024i | −0.411984 | − | 0.133862i | ||||
\(953\) | 40.2665 | − | 29.2553i | 1.30436 | − | 0.947674i | 0.304373 | − | 0.952553i | \(-0.401553\pi\) |
0.999988 | + | 0.00487953i | \(0.00155321\pi\) | |||||||
\(954\) | 2.34832 | − | 14.9182i | 0.0760296 | − | 0.482995i | ||||
\(955\) | −10.6417 | + | 3.45769i | −0.344356 | + | 0.111888i | ||||
\(956\) | − | 13.6165i | − | 0.440388i | ||||||
\(957\) | −17.5837 | + | 45.7563i | −0.568400 | + | 1.47909i | ||||
\(958\) | 17.3309 | 0.559935 | ||||||||
\(959\) | −18.2612 | − | 56.2022i | −0.589685 | − | 1.81486i | ||||
\(960\) | 1.53199 | + | 3.69361i | 0.0494449 | + | 0.119211i | ||||
\(961\) | −21.7308 | + | 15.7883i | −0.700992 | + | 0.509301i | ||||
\(962\) | −3.67325 | − | 5.40218i | −0.118430 | − | 0.174173i | ||||
\(963\) | −33.4241 | + | 5.32633i | −1.07708 | + | 0.171639i | ||||
\(964\) | −6.49639 | + | 4.71991i | −0.209235 | + | 0.152018i | ||||
\(965\) | −1.81166 | − | 1.31625i | −0.0583195 | − | 0.0423716i | ||||
\(966\) | 3.84944 | − | 16.0676i | 0.123854 | − | 0.516967i | ||||
\(967\) | −46.7791 | −1.50432 | −0.752158 | − | 0.658983i | \(-0.770987\pi\) | ||||
−0.752158 | + | 0.658983i | \(0.770987\pi\) | |||||||
\(968\) | −5.35473 | + | 19.8498i | −0.172108 | + | 0.637997i | ||||
\(969\) | −5.27725 | − | 3.23046i | −0.169530 | − | 0.103777i | ||||
\(970\) | 2.36534 | + | 7.27977i | 0.0759465 | + | 0.233739i | ||||
\(971\) | −14.5832 | + | 20.0720i | −0.467997 | + | 0.644142i | −0.976143 | − | 0.217128i | \(-0.930331\pi\) |
0.508146 | + | 0.861271i | \(0.330331\pi\) | |||||||
\(972\) | −14.2133 | + | 23.3179i | −0.455893 | + | 0.747923i | ||||
\(973\) | 55.6091 | + | 18.0685i | 1.78275 | + | 0.579249i | ||||
\(974\) | 2.21382 | − | 6.81344i | 0.0709354 | − | 0.218317i | ||||
\(975\) | 14.5143 | − | 22.1305i | 0.464829 | − | 0.708744i | ||||
\(976\) | 6.76759 | − | 9.31478i | 0.216625 | − | 0.298159i | ||||
\(977\) | 1.18607 | + | 3.65035i | 0.0379458 | + | 0.116785i | 0.968235 | − | 0.250041i | \(-0.0804442\pi\) |
−0.930289 | + | 0.366827i | \(0.880444\pi\) | |||||||
\(978\) | −3.75942 | − | 2.30133i | −0.120213 | − | 0.0735883i | ||||
\(979\) | −2.33411 | − | 12.6534i | −0.0745984 | − | 0.404405i | ||||
\(980\) | 12.3406 | 0.394207 | ||||||||
\(981\) | −20.4588 | + | 20.4977i | −0.653200 | + | 0.654440i | ||||
\(982\) | −7.39987 | + | 10.1851i | −0.236139 | + | 0.325018i | ||||
\(983\) | 40.3694 | − | 29.3301i | 1.28758 | − | 0.935484i | 0.287829 | − | 0.957682i | \(-0.407066\pi\) |
0.999754 | + | 0.0221981i | \(0.00706647\pi\) | |||||||
\(984\) | −12.9154 | + | 11.0414i | −0.411728 | + | 0.351987i | ||||
\(985\) | −4.96121 | − | 1.61199i | −0.158077 | − | 0.0513624i | ||||
\(986\) | 4.60285 | + | 6.33528i | 0.146585 | + | 0.201756i | ||||
\(987\) | 26.4921 | + | 63.8720i | 0.843254 | + | 2.03307i | ||||
\(988\) | 11.5256 | + | 4.14627i | 0.366677 | + | 0.131911i | ||||
\(989\) | 12.3511 | 0.392741 | ||||||||
\(990\) | −2.45057 | + | 3.56639i | −0.0778843 | + | 0.113347i | ||||
\(991\) | −25.2660 | −0.802601 | −0.401301 | − | 0.915946i | \(-0.631442\pi\) | ||||
−0.401301 | + | 0.915946i | \(0.631442\pi\) | |||||||
\(992\) | −3.15586 | − | 9.71275i | −0.100199 | − | 0.308380i | ||||
\(993\) | −55.7204 | + | 23.1111i | −1.76823 | + | 0.733408i | ||||
\(994\) | 8.85034 | + | 12.1815i | 0.280716 | + | 0.386372i | ||||
\(995\) | −2.39863 | + | 7.38221i | −0.0760415 | + | 0.234032i | ||||
\(996\) | −1.69282 | − | 1.98014i | −0.0536392 | − | 0.0627432i | ||||
\(997\) | 31.2885 | + | 43.0649i | 0.990916 | + | 1.36388i | 0.930736 | + | 0.365691i | \(0.119167\pi\) |
0.0601799 | + | 0.998188i | \(0.480833\pi\) | |||||||
\(998\) | −9.10852 | − | 6.61773i | −0.288325 | − | 0.209481i | ||||
\(999\) | 4.43791 | + | 18.3701i | 0.140409 | + | 0.581205i |
(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 | 429.2.y.b.116.19 | ✓ | 176 | |
3.2 | odd | 2 | inner | 429.2.y.b.116.26 | yes | 176 | |
11.2 | odd | 10 | inner | 429.2.y.b.233.20 | yes | 176 | |
13.12 | even | 2 | inner | 429.2.y.b.116.25 | yes | 176 | |
33.2 | even | 10 | inner | 429.2.y.b.233.25 | yes | 176 | |
39.38 | odd | 2 | inner | 429.2.y.b.116.20 | yes | 176 | |
143.90 | odd | 10 | inner | 429.2.y.b.233.26 | yes | 176 | |
429.233 | even | 10 | inner | 429.2.y.b.233.19 | yes | 176 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
429.2.y.b.116.19 | ✓ | 176 | 1.1 | even | 1 | trivial | |
429.2.y.b.116.20 | yes | 176 | 39.38 | odd | 2 | inner | |
429.2.y.b.116.25 | yes | 176 | 13.12 | even | 2 | inner | |
429.2.y.b.116.26 | yes | 176 | 3.2 | odd | 2 | inner | |
429.2.y.b.233.19 | yes | 176 | 429.233 | even | 10 | inner | |
429.2.y.b.233.20 | yes | 176 | 11.2 | odd | 10 | inner | |
429.2.y.b.233.25 | yes | 176 | 33.2 | even | 10 | inner | |
429.2.y.b.233.26 | yes | 176 | 143.90 | odd | 10 | inner |