Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [25,2,Mod(4,25)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(25, base_ring=CyclotomicField(10))
chi = DirichletCharacter(H, H._module([1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("25.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 25 = 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 25.e (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: | \(0.199626005053\) |
Analytic rank: | \(0\) |
Dimension: | \(8\) |
Relative dimension: | \(2\) over \(\Q(\zeta_{10})\) |
Coefficient field: | 8.0.58140625.2 |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: |
\( x^{8} - 3x^{7} + 4x^{6} - 7x^{5} + 11x^{4} + 5x^{3} - 10x^{2} - 25x + 25 \)
|
Coefficient ring: | \(\Z[a_1, a_2, a_3]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{10}]$ |
Embedding invariants
Embedding label | 19.2 | ||
Root | \(1.17421 - 0.0566033i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 25.19 |
Dual form | 25.2.e.a.4.2 |
$q$-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 \(\left(\mathbb{Z}/25\mathbb{Z}\right)^\times\).
\(n\) | \(2\) |
\(\chi(n)\) | \(e\left(\frac{9}{10}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.174207 | − | 0.0566033i | 0.123183 | − | 0.0400246i | −0.246777 | − | 0.969072i | \(-0.579371\pi\) |
0.369960 | + | 0.929048i | \(0.379371\pi\) | |||||||
\(3\) | −0.865190 | − | 1.19083i | −0.499518 | − | 0.687527i | 0.482590 | − | 0.875846i | \(-0.339696\pi\) |
−0.982108 | + | 0.188319i | \(0.939696\pi\) | |||||||
\(4\) | −1.59089 | + | 1.15585i | −0.795445 | + | 0.577925i | ||||
\(5\) | 0.107666 | + | 2.23347i | 0.0481496 | + | 0.998840i | ||||
\(6\) | −0.218127 | − | 0.158479i | −0.0890500 | − | 0.0646986i | ||||
\(7\) | − | 3.26086i | − | 1.23249i | −0.787555 | − | 0.616244i | \(-0.788654\pi\) | ||
0.787555 | − | 0.616244i | \(-0.211346\pi\) | |||||||
\(8\) | −0.427051 | + | 0.587785i | −0.150985 | + | 0.207813i | ||||
\(9\) | 0.257524 | − | 0.792578i | 0.0858414 | − | 0.264193i | ||||
\(10\) | 0.145178 | + | 0.382993i | 0.0459094 | + | 0.121113i | ||||
\(11\) | 0.618034 | + | 1.90211i | 0.186344 | + | 0.573509i | 0.999969 | − | 0.00788181i | \(-0.00250889\pi\) |
−0.813625 | + | 0.581390i | \(0.802509\pi\) | |||||||
\(12\) | 2.75284 | + | 0.894453i | 0.794678 | + | 0.258206i | ||||
\(13\) | 0.281873 | + | 0.0915860i | 0.0781775 | + | 0.0254014i | 0.347845 | − | 0.937552i | \(-0.386914\pi\) |
−0.269667 | + | 0.962954i | \(0.586914\pi\) | |||||||
\(14\) | −0.184575 | − | 0.568064i | −0.0493298 | − | 0.151821i | ||||
\(15\) | 2.56654 | − | 2.06059i | 0.662678 | − | 0.532042i | ||||
\(16\) | 1.17421 | − | 3.61384i | 0.293552 | − | 0.903459i | ||||
\(17\) | −3.03472 | + | 4.17693i | −0.736027 | + | 1.01305i | 0.262810 | + | 0.964847i | \(0.415351\pi\) |
−0.998837 | + | 0.0482067i | \(0.984649\pi\) | |||||||
\(18\) | − | 0.152649i | − | 0.0359798i | ||||||
\(19\) | 1.39991 | + | 1.01709i | 0.321161 | + | 0.233337i | 0.736671 | − | 0.676252i | \(-0.236397\pi\) |
−0.415510 | + | 0.909589i | \(0.636397\pi\) | |||||||
\(20\) | −2.75284 | − | 3.42877i | −0.615555 | − | 0.766695i | ||||
\(21\) | −3.88313 | + | 2.82126i | −0.847369 | + | 0.615649i | ||||
\(22\) | 0.215332 | + | 0.296379i | 0.0459089 | + | 0.0631881i | ||||
\(23\) | 0.836161 | − | 0.271685i | 0.174352 | − | 0.0566503i | −0.220540 | − | 0.975378i | \(-0.570782\pi\) |
0.394892 | + | 0.918728i | \(0.370782\pi\) | |||||||
\(24\) | 1.06943 | 0.218297 | ||||||||
\(25\) | −4.97682 | + | 0.480938i | −0.995363 | + | 0.0961876i | ||||
\(26\) | 0.0542883 | 0.0106468 | ||||||||
\(27\) | −5.36635 | + | 1.74363i | −1.03276 | + | 0.335563i | ||||
\(28\) | 3.76906 | + | 5.18766i | 0.712285 | + | 0.980376i | ||||
\(29\) | 4.78304 | − | 3.47508i | 0.888188 | − | 0.645306i | −0.0472171 | − | 0.998885i | \(-0.515035\pi\) |
0.935405 | + | 0.353578i | \(0.115035\pi\) | |||||||
\(30\) | 0.330473 | − | 0.504244i | 0.0603359 | − | 0.0920620i | ||||
\(31\) | −4.93462 | − | 3.58521i | −0.886285 | − | 0.643923i | 0.0486220 | − | 0.998817i | \(-0.484517\pi\) |
−0.934907 | + | 0.354894i | \(0.884517\pi\) | |||||||
\(32\) | − | 2.14910i | − | 0.379912i | ||||||
\(33\) | 1.73038 | − | 2.38166i | 0.301220 | − | 0.414594i | ||||
\(34\) | −0.292241 | + | 0.899425i | −0.0501189 | + | 0.154250i | ||||
\(35\) | 7.28304 | − | 0.351083i | 1.23106 | − | 0.0593438i | ||||
\(36\) | 0.506408 | + | 1.55856i | 0.0844013 | + | 0.259761i | ||||
\(37\) | 7.69215 | + | 2.49933i | 1.26458 | + | 0.410887i | 0.863125 | − | 0.504991i | \(-0.168504\pi\) |
0.401457 | + | 0.915878i | \(0.368504\pi\) | |||||||
\(38\) | 0.301444 | + | 0.0979452i | 0.0489007 | + | 0.0158888i | ||||
\(39\) | −0.134810 | − | 0.414902i | −0.0215869 | − | 0.0664376i | ||||
\(40\) | −1.35878 | − | 0.890523i | −0.214842 | − | 0.140804i | ||||
\(41\) | −0.313697 | + | 0.965461i | −0.0489913 | + | 0.150780i | −0.972559 | − | 0.232655i | \(-0.925259\pi\) |
0.923568 | + | 0.383434i | \(0.125259\pi\) | |||||||
\(42\) | −0.516776 | + | 0.711281i | −0.0797403 | + | 0.109753i | ||||
\(43\) | 3.24199i | 0.494399i | 0.968965 | + | 0.247200i | \(0.0795103\pi\) | ||||
−0.968965 | + | 0.247200i | \(0.920490\pi\) | |||||||
\(44\) | −3.18178 | − | 2.31170i | −0.479671 | − | 0.348502i | ||||
\(45\) | 1.79793 | + | 0.489840i | 0.268019 | + | 0.0730210i | ||||
\(46\) | 0.130287 | − | 0.0946589i | 0.0192097 | − | 0.0139567i | ||||
\(47\) | −2.48043 | − | 3.41402i | −0.361808 | − | 0.497986i | 0.588844 | − | 0.808247i | \(-0.299583\pi\) |
−0.950651 | + | 0.310261i | \(0.899583\pi\) | |||||||
\(48\) | −5.31939 | + | 1.72837i | −0.767787 | + | 0.249469i | ||||
\(49\) | −3.63318 | −0.519026 | ||||||||
\(50\) | −0.839774 | + | 0.365487i | −0.118762 | + | 0.0516877i | ||||
\(51\) | 7.59963 | 1.06416 | ||||||||
\(52\) | −0.554288 | + | 0.180099i | −0.0768660 | + | 0.0249753i | ||||
\(53\) | −4.76148 | − | 6.55362i | −0.654040 | − | 0.900209i | 0.345226 | − | 0.938520i | \(-0.387802\pi\) |
−0.999266 | + | 0.0383106i | \(0.987802\pi\) | |||||||
\(54\) | −0.836161 | + | 0.607507i | −0.113787 | + | 0.0826712i | ||||
\(55\) | −4.18178 | + | 1.58516i | −0.563871 | + | 0.213742i | ||||
\(56\) | 1.91668 | + | 1.39255i | 0.256128 | + | 0.186088i | ||||
\(57\) | − | 2.54703i | − | 0.337363i | ||||||
\(58\) | 0.636538 | − | 0.876119i | 0.0835815 | − | 0.115040i | ||||
\(59\) | −1.83443 | + | 5.64581i | −0.238823 | + | 0.735021i | 0.757768 | + | 0.652524i | \(0.226290\pi\) |
−0.996591 | + | 0.0824976i | \(0.973710\pi\) | |||||||
\(60\) | −1.70135 | + | 6.24471i | −0.219643 | + | 0.806188i | ||||
\(61\) | 0.282941 | + | 0.870802i | 0.0362268 | + | 0.111495i | 0.967535 | − | 0.252738i | \(-0.0813312\pi\) |
−0.931308 | + | 0.364233i | \(0.881331\pi\) | |||||||
\(62\) | −1.06258 | − | 0.345253i | −0.134948 | − | 0.0438472i | ||||
\(63\) | −2.58448 | − | 0.839749i | −0.325614 | − | 0.105798i | ||||
\(64\) | 2.22677 | + | 6.85329i | 0.278346 | + | 0.856661i | ||||
\(65\) | −0.174207 | + | 0.639416i | −0.0216077 | + | 0.0793099i | ||||
\(66\) | 0.166634 | − | 0.512848i | 0.0205113 | − | 0.0631272i | ||||
\(67\) | 4.04870 | − | 5.57255i | 0.494627 | − | 0.680796i | −0.486606 | − | 0.873622i | \(-0.661765\pi\) |
0.981233 | + | 0.192826i | \(0.0617652\pi\) | |||||||
\(68\) | − | 10.1527i | − | 1.23120i | ||||||
\(69\) | −1.04697 | − | 0.760668i | −0.126040 | − | 0.0915737i | ||||
\(70\) | 1.24888 | − | 0.473405i | 0.149270 | − | 0.0565827i | ||||
\(71\) | 4.82884 | − | 3.50836i | 0.573078 | − | 0.416366i | −0.263144 | − | 0.964757i | \(-0.584759\pi\) |
0.836222 | + | 0.548391i | \(0.184759\pi\) | |||||||
\(72\) | 0.355890 | + | 0.489840i | 0.0419420 | + | 0.0577282i | ||||
\(73\) | 8.40107 | − | 2.72967i | 0.983271 | − | 0.319484i | 0.227110 | − | 0.973869i | \(-0.427072\pi\) |
0.756161 | + | 0.654385i | \(0.227072\pi\) | |||||||
\(74\) | 1.48150 | 0.172220 | ||||||||
\(75\) | 4.87861 | + | 5.51045i | 0.563333 | + | 0.636292i | ||||
\(76\) | −3.40270 | −0.390317 | ||||||||
\(77\) | 6.20252 | − | 2.01532i | 0.706842 | − | 0.229667i | ||||
\(78\) | −0.0469697 | − | 0.0646482i | −0.00531827 | − | 0.00731997i | ||||
\(79\) | −6.27851 | + | 4.56161i | −0.706388 | + | 0.513221i | −0.882006 | − | 0.471237i | \(-0.843808\pi\) |
0.175618 | + | 0.984458i | \(0.443808\pi\) | |||||||
\(80\) | 8.19784 | + | 2.23347i | 0.916546 | + | 0.249710i | ||||
\(81\) | 4.69667 | + | 3.41233i | 0.521852 | + | 0.379148i | ||||
\(82\) | 0.185946i | 0.0205343i | ||||||||
\(83\) | −8.53192 | + | 11.7432i | −0.936500 | + | 1.28898i | 0.0207694 | + | 0.999784i | \(0.493388\pi\) |
−0.957269 | + | 0.289197i | \(0.906612\pi\) | |||||||
\(84\) | 2.91668 | − | 8.97663i | 0.318236 | − | 0.979430i | ||||
\(85\) | −9.65580 | − | 6.32825i | −1.04732 | − | 0.686395i | ||||
\(86\) | 0.183507 | + | 0.564778i | 0.0197881 | + | 0.0609015i | ||||
\(87\) | −8.27647 | − | 2.68919i | −0.887331 | − | 0.288311i | ||||
\(88\) | −1.38197 | − | 0.449028i | −0.147318 | − | 0.0478665i | ||||
\(89\) | −2.32579 | − | 7.15805i | −0.246534 | − | 0.758752i | −0.995380 | − | 0.0960092i | \(-0.969392\pi\) |
0.748847 | − | 0.662743i | \(-0.230608\pi\) | |||||||
\(90\) | 0.340938 | − | 0.0164351i | 0.0359381 | − | 0.00173241i | ||||
\(91\) | 0.298649 | − | 0.919147i | 0.0313069 | − | 0.0963528i | ||||
\(92\) | −1.01621 | + | 1.39870i | −0.105948 | + | 0.145824i | ||||
\(93\) | 8.97820i | 0.930996i | ||||||||
\(94\) | −0.625353 | − | 0.454345i | −0.0645002 | − | 0.0468621i | ||||
\(95\) | −2.12093 | + | 3.23616i | −0.217602 | + | 0.332023i | ||||
\(96\) | −2.55922 | + | 1.85938i | −0.261200 | + | 0.189773i | ||||
\(97\) | 3.95373 | + | 5.44184i | 0.401440 | + | 0.552535i | 0.961105 | − | 0.276184i | \(-0.0890699\pi\) |
−0.559664 | + | 0.828719i | \(0.689070\pi\) | |||||||
\(98\) | −0.632925 | + | 0.205650i | −0.0639351 | + | 0.0207738i | ||||
\(99\) | 1.66673 | 0.167513 | ||||||||
\(100\) | 7.36167 | − | 6.51757i | 0.736167 | − | 0.651757i | ||||
\(101\) | −12.1955 | −1.21350 | −0.606748 | − | 0.794894i | \(-0.707526\pi\) | ||||
−0.606748 | + | 0.794894i | \(0.707526\pi\) | |||||||
\(102\) | 1.32391 | − | 0.430164i | 0.131086 | − | 0.0425926i | ||||
\(103\) | 0.811969 | + | 1.11758i | 0.0800057 | + | 0.110118i | 0.847144 | − | 0.531363i | \(-0.178320\pi\) |
−0.767138 | + | 0.641482i | \(0.778320\pi\) | |||||||
\(104\) | −0.174207 | + | 0.126569i | −0.0170824 | + | 0.0124111i | ||||
\(105\) | −6.71929 | − | 8.36912i | −0.655736 | − | 0.816742i | ||||
\(106\) | −1.20044 | − | 0.872171i | −0.116597 | − | 0.0847127i | ||||
\(107\) | 15.8285i | 1.53020i | 0.643911 | + | 0.765101i | \(0.277311\pi\) | ||||
−0.643911 | + | 0.765101i | \(0.722689\pi\) | |||||||
\(108\) | 6.52190 | − | 8.97663i | 0.627570 | − | 0.863776i | ||||
\(109\) | 0.619199 | − | 1.90570i | 0.0593085 | − | 0.182533i | −0.917013 | − | 0.398857i | \(-0.869407\pi\) |
0.976322 | + | 0.216324i | \(0.0694069\pi\) | |||||||
\(110\) | −0.638770 | + | 0.512848i | −0.0609044 | + | 0.0488981i | ||||
\(111\) | −3.67889 | − | 11.3225i | −0.349185 | − | 1.07468i | ||||
\(112\) | −11.7842 | − | 3.82892i | −1.11350 | − | 0.361799i | ||||
\(113\) | 9.91713 | + | 3.22227i | 0.932925 | + | 0.303126i | 0.735758 | − | 0.677244i | \(-0.236826\pi\) |
0.197167 | + | 0.980370i | \(0.436826\pi\) | |||||||
\(114\) | −0.144170 | − | 0.443711i | −0.0135028 | − | 0.0415573i | ||||
\(115\) | 0.696828 | + | 1.83829i | 0.0649795 | + | 0.171422i | ||||
\(116\) | −3.59262 | + | 11.0569i | −0.333566 | + | 1.02661i | ||||
\(117\) | 0.145178 | − | 0.199821i | 0.0134217 | − | 0.0184734i | ||||
\(118\) | 1.08737i | 0.100101i | ||||||||
\(119\) | 13.6204 | + | 9.89577i | 1.24858 | + | 0.907144i | ||||
\(120\) | 0.115141 | + | 2.38855i | 0.0105109 | + | 0.218044i | ||||
\(121\) | 5.66312 | − | 4.11450i | 0.514829 | − | 0.374045i | ||||
\(122\) | 0.0985805 | + | 0.135684i | 0.00892506 | + | 0.0122843i | ||||
\(123\) | 1.42111 | − | 0.461746i | 0.128137 | − | 0.0416343i | ||||
\(124\) | 11.9944 | 1.07713 | ||||||||
\(125\) | −1.61000 | − | 11.0638i | −0.144002 | − | 0.989577i | ||||
\(126\) | −0.497767 | −0.0443446 | ||||||||
\(127\) | 5.56375 | − | 1.80777i | 0.493703 | − | 0.160414i | −0.0515752 | − | 0.998669i | \(-0.516424\pi\) |
0.545278 | + | 0.838255i | \(0.316424\pi\) | |||||||
\(128\) | 3.30226 | + | 4.54517i | 0.291881 | + | 0.401740i | ||||
\(129\) | 3.86067 | − | 2.80494i | 0.339913 | − | 0.246961i | ||||
\(130\) | 0.00584500 | + | 0.121252i | 0.000512640 | + | 0.0106345i | ||||
\(131\) | 1.21081 | + | 0.879704i | 0.105789 | + | 0.0768601i | 0.639422 | − | 0.768856i | \(-0.279174\pi\) |
−0.533633 | + | 0.845716i | \(0.679174\pi\) | |||||||
\(132\) | 5.78902i | 0.503870i | ||||||||
\(133\) | 3.31659 | − | 4.56489i | 0.287585 | − | 0.395827i | ||||
\(134\) | 0.389887 | − | 1.19995i | 0.0336811 | − | 0.103660i | ||||
\(135\) | −4.47214 | − | 11.7979i | −0.384900 | − | 1.01540i | ||||
\(136\) | −1.15916 | − | 3.56752i | −0.0993970 | − | 0.305913i | ||||
\(137\) | −7.46472 | − | 2.42543i | −0.637754 | − | 0.207219i | −0.0277472 | − | 0.999615i | \(-0.508833\pi\) |
−0.610007 | + | 0.792396i | \(0.708833\pi\) | |||||||
\(138\) | −0.225446 | − | 0.0732518i | −0.0191912 | − | 0.00623560i | ||||
\(139\) | −1.66607 | − | 5.12764i | −0.141314 | − | 0.434921i | 0.855204 | − | 0.518291i | \(-0.173432\pi\) |
−0.996519 | + | 0.0833702i | \(0.973432\pi\) | |||||||
\(140\) | −11.1807 | + | 8.97663i | −0.944943 | + | 0.758663i | ||||
\(141\) | −1.91948 | + | 5.90755i | −0.161649 | + | 0.497505i | ||||
\(142\) | 0.642634 | − | 0.884509i | 0.0539286 | − | 0.0742264i | ||||
\(143\) | 0.592757i | 0.0495689i | ||||||||
\(144\) | −2.56186 | − | 1.86130i | −0.213488 | − | 0.155108i | ||||
\(145\) | 8.27647 | + | 10.3086i | 0.687324 | + | 0.856086i | ||||
\(146\) | 1.30902 | − | 0.951057i | 0.108335 | − | 0.0787100i | ||||
\(147\) | 3.14339 | + | 4.32651i | 0.259262 | + | 0.356844i | ||||
\(148\) | −15.1262 | + | 4.91480i | −1.24337 | + | 0.403994i | ||||
\(149\) | −18.8229 | −1.54203 | −0.771015 | − | 0.636817i | \(-0.780251\pi\) | ||||
−0.771015 | + | 0.636817i | \(0.780251\pi\) | |||||||
\(150\) | 1.16180 | + | 0.683814i | 0.0948603 | + | 0.0558331i | ||||
\(151\) | −3.88797 | −0.316398 | −0.158199 | − | 0.987407i | \(-0.550569\pi\) | ||||
−0.158199 | + | 0.987407i | \(0.550569\pi\) | |||||||
\(152\) | −1.19566 | + | 0.388495i | −0.0969811 | + | 0.0315111i | ||||
\(153\) | 2.52903 | + | 3.48091i | 0.204460 | + | 0.281415i | ||||
\(154\) | 0.966448 | − | 0.702166i | 0.0778786 | − | 0.0565821i | ||||
\(155\) | 7.47619 | − | 11.4074i | 0.600502 | − | 0.916261i | ||||
\(156\) | 0.694033 | + | 0.504244i | 0.0555671 | + | 0.0403718i | ||||
\(157\) | 4.28378i | 0.341883i | 0.985281 | + | 0.170941i | \(0.0546808\pi\) | ||||
−0.985281 | + | 0.170941i | \(0.945319\pi\) | |||||||
\(158\) | −0.835559 | + | 1.15005i | −0.0664735 | + | 0.0914930i | ||||
\(159\) | −3.68467 | + | 11.3403i | −0.292214 | + | 0.899341i | ||||
\(160\) | 4.79997 | − | 0.231385i | 0.379471 | − | 0.0182926i | ||||
\(161\) | −0.885926 | − | 2.72660i | −0.0698208 | − | 0.214886i | ||||
\(162\) | 1.01134 | + | 0.328605i | 0.0794585 | + | 0.0258176i | ||||
\(163\) | −14.9566 | − | 4.85970i | −1.17149 | − | 0.380641i | −0.342293 | − | 0.939593i | \(-0.611204\pi\) |
−0.829200 | + | 0.558952i | \(0.811204\pi\) | |||||||
\(164\) | −0.616869 | − | 1.89853i | −0.0481694 | − | 0.148250i | ||||
\(165\) | 5.50569 | + | 3.60834i | 0.428617 | + | 0.280909i | ||||
\(166\) | −0.821618 | + | 2.52868i | −0.0637699 | + | 0.196264i | ||||
\(167\) | 12.3629 | − | 17.0161i | 0.956670 | − | 1.31674i | 0.00816967 | − | 0.999967i | \(-0.497399\pi\) |
0.948500 | − | 0.316777i | \(-0.102601\pi\) | |||||||
\(168\) | − | 3.48727i | − | 0.269049i | ||||||
\(169\) | −10.4462 | − | 7.58958i | −0.803551 | − | 0.583814i | ||||
\(170\) | −2.04031 | − | 0.555875i | −0.156484 | − | 0.0426337i | ||||
\(171\) | 1.16663 | − | 0.847609i | 0.0892148 | − | 0.0648183i | ||||
\(172\) | −3.74725 | − | 5.15765i | −0.285725 | − | 0.393267i | ||||
\(173\) | 6.81587 | − | 2.21461i | 0.518201 | − | 0.168374i | −0.0382277 | − | 0.999269i | \(-0.512171\pi\) |
0.556429 | + | 0.830895i | \(0.312171\pi\) | |||||||
\(174\) | −1.59404 | −0.120844 | ||||||||
\(175\) | 1.56827 | + | 16.2287i | 0.118550 | + | 1.22677i | ||||
\(176\) | 7.59963 | 0.572843 | ||||||||
\(177\) | 8.31034 | − | 2.70019i | 0.624643 | − | 0.202959i | ||||
\(178\) | −0.810339 | − | 1.11534i | −0.0607375 | − | 0.0835979i | ||||
\(179\) | 6.50396 | − | 4.72540i | 0.486129 | − | 0.353193i | −0.317565 | − | 0.948237i | \(-0.602865\pi\) |
0.803694 | + | 0.595043i | \(0.202865\pi\) | |||||||
\(180\) | −3.42649 | + | 1.29885i | −0.255395 | + | 0.0968108i | ||||
\(181\) | 16.6796 | + | 12.1184i | 1.23978 | + | 0.900756i | 0.997584 | − | 0.0694707i | \(-0.0221310\pi\) |
0.242200 | + | 0.970226i | \(0.422131\pi\) | |||||||
\(182\) | − | 0.177026i | − | 0.0131221i | ||||||
\(183\) | 0.792181 | − | 1.09034i | 0.0585597 | − | 0.0806005i | ||||
\(184\) | −0.197391 | + | 0.607507i | −0.0145518 | + | 0.0447860i | ||||
\(185\) | −4.75401 | + | 17.4493i | −0.349522 | + | 1.28290i | ||||
\(186\) | 0.508196 | + | 1.56407i | 0.0372627 | + | 0.114683i | ||||
\(187\) | −9.82055 | − | 3.19089i | −0.718150 | − | 0.233341i | ||||
\(188\) | 7.89218 | + | 2.56432i | 0.575596 | + | 0.187023i | ||||
\(189\) | 5.68574 | + | 17.4989i | 0.413577 | + | 1.27286i | ||||
\(190\) | −0.186303 | + | 0.683814i | −0.0135158 | + | 0.0496090i | ||||
\(191\) | 5.57167 | − | 17.1478i | 0.403152 | − | 1.24077i | −0.519277 | − | 0.854606i | \(-0.673799\pi\) |
0.922429 | − | 0.386167i | \(-0.126201\pi\) | |||||||
\(192\) | 6.23453 | − | 8.58110i | 0.449939 | − | 0.619288i | ||||
\(193\) | − | 6.78859i | − | 0.488653i | −0.969693 | − | 0.244327i | \(-0.921433\pi\) | ||
0.969693 | − | 0.244327i | \(-0.0785669\pi\) | |||||||
\(194\) | 0.996793 | + | 0.724213i | 0.0715656 | + | 0.0519955i | ||||
\(195\) | 0.912160 | − | 0.345766i | 0.0653211 | − | 0.0247608i | ||||
\(196\) | 5.77999 | − | 4.19941i | 0.412856 | − | 0.299958i | ||||
\(197\) | −4.69956 | − | 6.46839i | −0.334830 | − | 0.460854i | 0.608092 | − | 0.793866i | \(-0.291935\pi\) |
−0.942923 | + | 0.333012i | \(0.891935\pi\) | |||||||
\(198\) | 0.290356 | − | 0.0943425i | 0.0206347 | − | 0.00670463i | ||||
\(199\) | 5.20485 | 0.368962 | 0.184481 | − | 0.982836i | \(-0.440940\pi\) | ||||
0.184481 | + | 0.982836i | \(0.440940\pi\) | |||||||
\(200\) | 1.84267 | − | 3.13068i | 0.130296 | − | 0.221373i | ||||
\(201\) | −10.1389 | −0.715141 | ||||||||
\(202\) | −2.12454 | + | 0.690305i | −0.149482 | + | 0.0485697i | ||||
\(203\) | −11.3317 | − | 15.5968i | −0.795332 | − | 1.09468i | ||||
\(204\) | −12.0902 | + | 8.78402i | −0.846481 | + | 0.615005i | ||||
\(205\) | −2.19011 | − | 0.596687i | −0.152964 | − | 0.0416745i | ||||
\(206\) | 0.204709 | + | 0.148730i | 0.0142628 | + | 0.0103625i | ||||
\(207\) | − | 0.732688i | − | 0.0509254i | ||||||
\(208\) | 0.661954 | − | 0.911102i | 0.0458983 | − | 0.0631735i | ||||
\(209\) | −1.06943 | + | 3.29138i | −0.0739743 | + | 0.227669i | ||||
\(210\) | −1.64427 | − | 1.07763i | −0.113465 | − | 0.0743632i | ||||
\(211\) | 5.13029 | + | 15.7894i | 0.353184 | + | 1.08699i | 0.957055 | + | 0.289906i | \(0.0936239\pi\) |
−0.603872 | + | 0.797082i | \(0.706376\pi\) | |||||||
\(212\) | 15.1500 | + | 4.92253i | 1.04051 | + | 0.338081i | ||||
\(213\) | −8.35573 | − | 2.71494i | −0.572525 | − | 0.186025i | ||||
\(214\) | 0.895947 | + | 2.75744i | 0.0612456 | + | 0.188495i | ||||
\(215\) | −7.24091 | + | 0.349052i | −0.493826 | + | 0.0238051i | ||||
\(216\) | 1.26682 | − | 3.89889i | 0.0861965 | − | 0.265286i | ||||
\(217\) | −11.6909 | + | 16.0911i | −0.793628 | + | 1.09233i | ||||
\(218\) | − | 0.367035i | − | 0.0248587i | ||||||
\(219\) | −10.5191 | − | 7.64258i | −0.710815 | − | 0.516438i | ||||
\(220\) | 4.82055 | − | 7.35531i | 0.325001 | − | 0.495895i | ||||
\(221\) | −1.23795 | + | 0.899425i | −0.0832737 | + | 0.0605019i | ||||
\(222\) | −1.28178 | − | 1.76421i | −0.0860272 | − | 0.118406i | ||||
\(223\) | 6.30368 | − | 2.04819i | 0.422126 | − | 0.137157i | −0.0902485 | − | 0.995919i | \(-0.528766\pi\) |
0.512374 | + | 0.858762i | \(0.328766\pi\) | |||||||
\(224\) | −7.00792 | −0.468236 | ||||||||
\(225\) | −0.900470 | + | 4.06837i | −0.0600313 | + | 0.271224i | ||||
\(226\) | 1.91002 | 0.127053 | ||||||||
\(227\) | −12.7365 | + | 4.13833i | −0.845350 | + | 0.274671i | −0.699497 | − | 0.714636i | \(-0.746593\pi\) |
−0.145853 | + | 0.989306i | \(0.546593\pi\) | |||||||
\(228\) | 2.94398 | + | 4.05205i | 0.194970 | + | 0.268353i | ||||
\(229\) | 8.16032 | − | 5.92882i | 0.539249 | − | 0.391788i | −0.284557 | − | 0.958659i | \(-0.591846\pi\) |
0.823806 | + | 0.566872i | \(0.191846\pi\) | |||||||
\(230\) | 0.225446 | + | 0.280801i | 0.0148655 | + | 0.0185155i | ||||
\(231\) | −7.76626 | − | 5.64252i | −0.510983 | − | 0.371251i | ||||
\(232\) | 4.29544i | 0.282009i | ||||||||
\(233\) | −12.9345 | + | 17.8028i | −0.847368 | + | 1.16630i | 0.137069 | + | 0.990562i | \(0.456232\pi\) |
−0.984437 | + | 0.175740i | \(0.943768\pi\) | |||||||
\(234\) | 0.0139805 | − | 0.0430277i | 0.000913937 | − | 0.00281281i | ||||
\(235\) | 7.35806 | − | 5.90755i | 0.479987 | − | 0.385366i | ||||
\(236\) | −3.60732 | − | 11.1022i | −0.234816 | − | 0.722691i | ||||
\(237\) | 10.8642 | + | 3.53000i | 0.705707 | + | 0.229298i | ||||
\(238\) | 2.93290 | + | 0.952956i | 0.190111 | + | 0.0617709i | ||||
\(239\) | −2.33626 | − | 7.19026i | −0.151120 | − | 0.465099i | 0.846627 | − | 0.532187i | \(-0.178629\pi\) |
−0.997747 | + | 0.0670870i | \(0.978629\pi\) | |||||||
\(240\) | −4.43299 | − | 11.6946i | −0.286148 | − | 0.754885i | ||||
\(241\) | −6.30226 | + | 19.3964i | −0.405964 | + | 1.24943i | 0.514123 | + | 0.857716i | \(0.328117\pi\) |
−0.920087 | + | 0.391713i | \(0.871883\pi\) | |||||||
\(242\) | 0.753661 | − | 1.03733i | 0.0484472 | − | 0.0666818i | ||||
\(243\) | 8.38230i | 0.537725i | ||||||||
\(244\) | −1.45664 | − | 1.05831i | −0.0932520 | − | 0.0677515i | ||||
\(245\) | −0.391169 | − | 8.11461i | −0.0249909 | − | 0.518424i | ||||
\(246\) | 0.221431 | − | 0.160879i | 0.0141179 | − | 0.0102573i | ||||
\(247\) | 0.301444 | + | 0.414902i | 0.0191804 | + | 0.0263996i | ||||
\(248\) | 4.21467 | − | 1.36943i | 0.267632 | − | 0.0869589i | ||||
\(249\) | 21.3659 | 1.35401 | ||||||||
\(250\) | −0.906721 | − | 1.83626i | −0.0573460 | − | 0.116135i | ||||
\(251\) | 10.5717 | 0.667278 | 0.333639 | − | 0.942701i | \(-0.391723\pi\) | ||||
0.333639 | + | 0.942701i | \(0.391723\pi\) | |||||||
\(252\) | 5.08225 | − | 1.65132i | 0.320152 | − | 0.104024i | ||||
\(253\) | 1.03355 | + | 1.42256i | 0.0649789 | + | 0.0894357i | ||||
\(254\) | 0.866918 | − | 0.629853i | 0.0543953 | − | 0.0395205i | ||||
\(255\) | 0.818220 | + | 16.9736i | 0.0512389 | + | 1.06293i | ||||
\(256\) | −10.8270 | − | 7.86625i | −0.676685 | − | 0.491640i | ||||
\(257\) | − | 20.2700i | − | 1.26441i | −0.774801 | − | 0.632205i | \(-0.782150\pi\) | ||
0.774801 | − | 0.632205i | \(-0.217850\pi\) | |||||||
\(258\) | 0.513786 | − | 0.707166i | 0.0319869 | − | 0.0440263i | ||||
\(259\) | 8.14996 | − | 25.0830i | 0.506414 | − | 1.55858i | ||||
\(260\) | −0.461925 | − | 1.21860i | −0.0286474 | − | 0.0755743i | ||||
\(261\) | −1.52252 | − | 4.68585i | −0.0942419 | − | 0.290047i | ||||
\(262\) | 0.260725 | + | 0.0847148i | 0.0161077 | + | 0.00523370i | ||||
\(263\) | 26.7160 | + | 8.68056i | 1.64738 | + | 0.535267i | 0.978170 | − | 0.207806i | \(-0.0666323\pi\) |
0.669211 | + | 0.743072i | \(0.266632\pi\) | |||||||
\(264\) | 0.660946 | + | 2.03418i | 0.0406784 | + | 0.125195i | ||||
\(265\) | 14.1247 | − | 11.3403i | 0.867673 | − | 0.696626i | ||||
\(266\) | 0.319385 | − | 0.982966i | 0.0195828 | − | 0.0602695i | ||||
\(267\) | −6.51179 | + | 8.96271i | −0.398515 | + | 0.548509i | ||||
\(268\) | 13.5450i | 0.827393i | ||||||||
\(269\) | 16.4416 | + | 11.9455i | 1.00246 | + | 0.728333i | 0.962615 | − | 0.270873i | \(-0.0873123\pi\) |
0.0398490 | + | 0.999206i | \(0.487312\pi\) | |||||||
\(270\) | −1.44688 | − | 1.80214i | −0.0880541 | − | 0.109675i | ||||
\(271\) | −25.4409 | + | 18.4839i | −1.54543 | + | 1.12282i | −0.598610 | + | 0.801041i | \(0.704280\pi\) |
−0.946816 | + | 0.321777i | \(0.895720\pi\) | |||||||
\(272\) | 11.5314 | + | 15.8716i | 0.699191 | + | 0.962354i | ||||
\(273\) | −1.35294 | + | 0.439596i | −0.0818835 | + | 0.0266056i | ||||
\(274\) | −1.43769 | −0.0868543 | ||||||||
\(275\) | −3.99064 | − | 9.16923i | −0.240645 | − | 0.552925i | ||||
\(276\) | 2.54483 | 0.153181 | ||||||||
\(277\) | −13.2487 | + | 4.30475i | −0.796035 | + | 0.258648i | −0.678672 | − | 0.734441i | \(-0.737444\pi\) |
−0.117363 | + | 0.993089i | \(0.537444\pi\) | |||||||
\(278\) | −0.580483 | − | 0.798966i | −0.0348150 | − | 0.0479188i | ||||
\(279\) | −4.11235 | + | 2.98779i | −0.246200 | + | 0.178875i | ||||
\(280\) | −2.90387 | + | 4.43079i | −0.173539 | + | 0.264790i | ||||
\(281\) | −20.9355 | − | 15.2105i | −1.24891 | − | 0.907383i | −0.250748 | − | 0.968052i | \(-0.580677\pi\) |
−0.998158 | + | 0.0606690i | \(0.980677\pi\) | |||||||
\(282\) | 1.13778i | 0.0677541i | ||||||||
\(283\) | 13.9491 | − | 19.1993i | 0.829188 | − | 1.14128i | −0.158885 | − | 0.987297i | \(-0.550790\pi\) |
0.988074 | − | 0.153983i | \(-0.0492101\pi\) | |||||||
\(284\) | −3.62702 | + | 11.1628i | −0.215224 | + | 0.662392i | ||||
\(285\) | 5.68873 | − | 0.274228i | 0.336971 | − | 0.0162439i | ||||
\(286\) | 0.0335520 | + | 0.103262i | 0.00198397 | + | 0.00610604i | ||||
\(287\) | 3.14823 | + | 1.02292i | 0.185834 | + | 0.0603811i | ||||
\(288\) | −1.70333 | − | 0.553446i | −0.100370 | − | 0.0326121i | ||||
\(289\) | −2.98394 | − | 9.18363i | −0.175526 | − | 0.540214i | ||||
\(290\) | 2.02532 | + | 1.32736i | 0.118931 | + | 0.0779454i | ||||
\(291\) | 3.05959 | − | 9.41645i | 0.179356 | − | 0.552002i | ||||
\(292\) | −10.2101 | + | 14.0530i | −0.597500 | + | 0.822389i | ||||
\(293\) | − | 12.3029i | − | 0.718742i | −0.933195 | − | 0.359371i | \(-0.882991\pi\) | ||
0.933195 | − | 0.359371i | \(-0.117009\pi\) | |||||||
\(294\) | 0.792495 | + | 0.575781i | 0.0462193 | + | 0.0335803i | ||||
\(295\) | −12.8073 | − | 3.48930i | −0.745668 | − | 0.203155i | ||||
\(296\) | −4.75401 | + | 3.45399i | −0.276321 | + | 0.200759i | ||||
\(297\) | −6.63318 | − | 9.12979i | −0.384896 | − | 0.529764i | ||||
\(298\) | −3.27908 | + | 1.06544i | −0.189952 | + | 0.0617191i | ||||
\(299\) | 0.260574 | 0.0150694 | ||||||||
\(300\) | −14.1306 | − | 3.12758i | −0.815829 | − | 0.180571i | ||||
\(301\) | 10.5717 | 0.609341 | ||||||||
\(302\) | −0.677311 | + | 0.220072i | −0.0389749 | + | 0.0126637i | ||||
\(303\) | 10.5514 | + | 14.5228i | 0.606163 | + | 0.834311i | ||||
\(304\) | 5.31939 | − | 3.86476i | 0.305088 | − | 0.221659i | ||||
\(305\) | −1.91445 | + | 0.725696i | −0.109621 | + | 0.0415532i | ||||
\(306\) | 0.637605 | + | 0.463247i | 0.0364495 | + | 0.0264821i | ||||
\(307\) | − | 4.28249i | − | 0.244415i | −0.992505 | − | 0.122207i | \(-0.961003\pi\) | ||
0.992505 | − | 0.122207i | \(-0.0389973\pi\) | |||||||
\(308\) | −7.53811 | + | 10.3753i | −0.429524 | + | 0.591189i | ||||
\(309\) | 0.628342 | − | 1.93384i | 0.0357451 | − | 0.110012i | ||||
\(310\) | 0.656711 | − | 2.41042i | 0.0372987 | − | 0.136903i | ||||
\(311\) | 7.92526 | + | 24.3915i | 0.449400 | + | 1.38311i | 0.877585 | + | 0.479421i | \(0.159153\pi\) |
−0.428185 | + | 0.903691i | \(0.640847\pi\) | |||||||
\(312\) | 0.301444 | + | 0.0979452i | 0.0170659 | + | 0.00554505i | ||||
\(313\) | −21.2573 | − | 6.90692i | −1.20153 | − | 0.390402i | −0.361209 | − | 0.932485i | \(-0.617636\pi\) |
−0.840325 | + | 0.542083i | \(0.817636\pi\) | |||||||
\(314\) | 0.242476 | + | 0.746264i | 0.0136837 | + | 0.0421141i | ||||
\(315\) | 1.59730 | − | 5.86279i | 0.0899975 | − | 0.330331i | ||||
\(316\) | 4.71589 | − | 14.5140i | 0.265290 | − | 0.816478i | ||||
\(317\) | −12.8859 | + | 17.7360i | −0.723746 | + | 0.996151i | 0.275645 | + | 0.961259i | \(0.411108\pi\) |
−0.999391 | + | 0.0348911i | \(0.988892\pi\) | |||||||
\(318\) | 2.18412i | 0.122479i | ||||||||
\(319\) | 9.56608 | + | 6.95016i | 0.535597 | + | 0.389134i | ||||
\(320\) | −15.0669 | + | 5.71129i | −0.842265 | + | 0.319271i | ||||
\(321\) | 18.8491 | − | 13.6947i | 1.05205 | − | 0.764363i | ||||
\(322\) | −0.308669 | − | 0.424847i | −0.0172015 | − | 0.0236758i | ||||
\(323\) | −8.49664 | + | 2.76073i | −0.472766 | + | 0.153611i | ||||
\(324\) | −11.4160 | −0.634224 | ||||||||
\(325\) | −1.44688 | − | 0.320244i | −0.0802583 | − | 0.0177639i | ||||
\(326\) | −2.88062 | −0.159543 | ||||||||
\(327\) | −2.80509 | + | 0.911429i | −0.155122 | + | 0.0504021i | ||||
\(328\) | −0.433519 | − | 0.596687i | −0.0239371 | − | 0.0329466i | ||||
\(329\) | −11.1326 | + | 8.08832i | −0.613761 | + | 0.445923i | ||||
\(330\) | 1.16337 | + | 0.316957i | 0.0640416 | + | 0.0174479i | ||||
\(331\) | 7.25121 | + | 5.26831i | 0.398563 | + | 0.289573i | 0.768955 | − | 0.639303i | \(-0.220777\pi\) |
−0.370393 | + | 0.928875i | \(0.620777\pi\) | |||||||
\(332\) | − | 28.5437i | − | 1.56654i | ||||||
\(333\) | 3.96183 | − | 5.45299i | 0.217107 | − | 0.298822i | ||||
\(334\) | 1.19054 | − | 3.66410i | 0.0651433 | − | 0.200491i | ||||
\(335\) | 12.8821 | + | 8.44269i | 0.703822 | + | 0.461273i | ||||
\(336\) | 5.63597 | + | 17.3457i | 0.307468 | + | 0.946288i | ||||
\(337\) | 27.6601 | + | 8.98731i | 1.50674 | + | 0.489570i | 0.941976 | − | 0.335681i | \(-0.108966\pi\) |
0.564766 | + | 0.825251i | \(0.308966\pi\) | |||||||
\(338\) | −2.24939 | − | 0.730871i | −0.122351 | − | 0.0397541i | ||||
\(339\) | −4.74302 | − | 14.5975i | −0.257605 | − | 0.792828i | ||||
\(340\) | 22.6758 | − | 1.09310i | 1.22977 | − | 0.0592817i | ||||
\(341\) | 3.76972 | − | 11.6020i | 0.204142 | − | 0.628283i | ||||
\(342\) | 0.155258 | − | 0.213695i | 0.00839541 | − | 0.0115553i | ||||
\(343\) | − | 10.9787i | − | 0.592795i | ||||||
\(344\) | −1.90559 | − | 1.38450i | −0.102743 | − | 0.0746470i | ||||
\(345\) | 1.58621 | − | 2.42028i | 0.0853987 | − | 0.130303i | ||||
\(346\) | 1.06202 | − | 0.771601i | 0.0570944 | − | 0.0414815i | ||||
\(347\) | 8.40368 | + | 11.5667i | 0.451133 | + | 0.620931i | 0.972641 | − | 0.232315i | \(-0.0746302\pi\) |
−0.521508 | + | 0.853247i | \(0.674630\pi\) | |||||||
\(348\) | 16.2753 | − | 5.28815i | 0.872445 | − | 0.283475i | ||||
\(349\) | −5.62382 | −0.301036 | −0.150518 | − | 0.988607i | \(-0.548094\pi\) | ||||
−0.150518 | + | 0.988607i | \(0.548094\pi\) | |||||||
\(350\) | 1.19180 | + | 2.73838i | 0.0637044 | + | 0.146373i | ||||
\(351\) | −1.67232 | −0.0892620 | ||||||||
\(352\) | 4.08784 | − | 1.32822i | 0.217883 | − | 0.0707944i | ||||
\(353\) | −1.12265 | − | 1.54520i | −0.0597529 | − | 0.0822427i | 0.778095 | − | 0.628147i | \(-0.216186\pi\) |
−0.837848 | + | 0.545904i | \(0.816186\pi\) | |||||||
\(354\) | 1.29488 | − | 0.940785i | 0.0688221 | − | 0.0500022i | ||||
\(355\) | 8.35573 | + | 10.4074i | 0.443476 | + | 0.552366i | ||||
\(356\) | 11.9737 | + | 8.69941i | 0.634605 | + | 0.461068i | ||||
\(357\) | − | 24.7813i | − | 1.31156i | ||||||
\(358\) | 0.865562 | − | 1.19134i | 0.0457464 | − | 0.0629645i | ||||
\(359\) | −6.86161 | + | 21.1179i | −0.362142 | + | 1.11456i | 0.589609 | + | 0.807689i | \(0.299282\pi\) |
−0.951751 | + | 0.306870i | \(0.900718\pi\) | |||||||
\(360\) | −1.05573 | + | 0.847609i | −0.0556418 | + | 0.0446729i | ||||
\(361\) | −4.94606 | − | 15.2224i | −0.260319 | − | 0.801179i | ||||
\(362\) | 3.59164 | + | 1.16700i | 0.188773 | + | 0.0613359i | ||||
\(363\) | −9.79935 | − | 3.18400i | −0.514332 | − | 0.167117i | ||||
\(364\) | 0.587277 | + | 1.80745i | 0.0307817 | + | 0.0947363i | ||||
\(365\) | 7.00116 | + | 18.4697i | 0.366458 | + | 0.966748i | ||||
\(366\) | 0.0762864 | − | 0.234786i | 0.00398756 | − | 0.0122724i | ||||
\(367\) | 12.6050 | − | 17.3493i | 0.657978 | − | 0.905629i | −0.341435 | − | 0.939906i | \(-0.610913\pi\) |
0.999412 | + | 0.0342768i | \(0.0109128\pi\) | |||||||
\(368\) | − | 3.34077i | − | 0.174149i | ||||||
\(369\) | 0.684418 | + | 0.497259i | 0.0356294 | + | 0.0258863i | ||||
\(370\) | 0.159507 | + | 3.30888i | 0.00829235 | + | 0.172021i | ||||
\(371\) | −21.3704 | + | 15.5265i | −1.10950 | + | 0.806096i | ||||
\(372\) | −10.3774 | − | 14.2833i | −0.538045 | − | 0.740556i | ||||
\(373\) | −22.0074 | + | 7.15063i | −1.13950 | + | 0.370245i | −0.817178 | − | 0.576385i | \(-0.804463\pi\) |
−0.322320 | + | 0.946631i | \(0.604463\pi\) | |||||||
\(374\) | −1.89142 | −0.0978032 | ||||||||
\(375\) | −11.7822 | + | 11.4895i | −0.608430 | + | 0.593317i | ||||
\(376\) | 3.06598 | 0.158116 | ||||||||
\(377\) | 1.66648 | − | 0.541471i | 0.0858279 | − | 0.0278872i | ||||
\(378\) | 1.98099 | + | 2.72660i | 0.101891 | + | 0.140241i | ||||
\(379\) | −17.5153 | + | 12.7256i | −0.899702 | + | 0.653672i | −0.938390 | − | 0.345579i | \(-0.887682\pi\) |
0.0386872 | + | 0.999251i | \(0.487682\pi\) | |||||||
\(380\) | −0.366355 | − | 7.59985i | −0.0187936 | − | 0.389864i | ||||
\(381\) | −6.96645 | − | 5.06142i | −0.356902 | − | 0.259304i | ||||
\(382\) | − | 3.30265i | − | 0.168978i | ||||||
\(383\) | 3.32381 | − | 4.57484i | 0.169839 | − | 0.233763i | −0.715610 | − | 0.698500i | \(-0.753851\pi\) |
0.885449 | + | 0.464737i | \(0.153851\pi\) | |||||||
\(384\) | 2.55545 | − | 7.86488i | 0.130407 | − | 0.401353i | ||||
\(385\) | 5.16896 | + | 13.6362i | 0.263435 | + | 0.694964i | ||||
\(386\) | −0.384257 | − | 1.18262i | −0.0195581 | − | 0.0601938i | ||||
\(387\) | 2.56953 | + | 0.834891i | 0.130617 | + | 0.0424399i | ||||
\(388\) | −12.5799 | − | 4.08746i | −0.638647 | − | 0.207509i | ||||
\(389\) | 2.51109 | + | 7.72833i | 0.127317 | + | 0.391842i | 0.994316 | − | 0.106468i | \(-0.0339541\pi\) |
−0.866999 | + | 0.498310i | \(0.833954\pi\) | |||||||
\(390\) | 0.139333 | − | 0.111866i | 0.00705541 | − | 0.00566456i | ||||
\(391\) | −1.40270 | + | 4.31707i | −0.0709377 | + | 0.218324i | ||||
\(392\) | 1.55155 | − | 2.13553i | 0.0783653 | − | 0.107861i | ||||
\(393\) | − | 2.20298i | − | 0.111126i | ||||||
\(394\) | −1.18483 | − | 0.860829i | −0.0596908 | − | 0.0433679i | ||||
\(395\) | −10.8642 | − | 13.5318i | −0.546638 | − | 0.680857i | ||||
\(396\) | −2.65159 | + | 1.92649i | −0.133247 | + | 0.0968098i | ||||
\(397\) | −12.2076 | − | 16.8024i | −0.612684 | − | 0.843287i | 0.384111 | − | 0.923287i | \(-0.374508\pi\) |
−0.996795 | + | 0.0799998i | \(0.974508\pi\) | |||||||
\(398\) | 0.906721 | − | 0.294611i | 0.0454498 | − | 0.0147675i | ||||
\(399\) | −8.30550 | −0.415795 | ||||||||
\(400\) | −4.10578 | + | 18.5501i | −0.205289 | + | 0.927506i | ||||
\(401\) | 30.1195 | 1.50410 | 0.752049 | − | 0.659107i | \(-0.229066\pi\) | ||||
0.752049 | + | 0.659107i | \(0.229066\pi\) | |||||||
\(402\) | −1.76626 | + | 0.573893i | −0.0880931 | + | 0.0286232i | ||||
\(403\) | −1.06258 | − | 1.46252i | −0.0529309 | − | 0.0728532i | ||||
\(404\) | 19.4017 | − | 14.0961i | 0.965269 | − | 0.701309i | ||||
\(405\) | −7.11568 | + | 10.8573i | −0.353581 | + | 0.539503i | ||||
\(406\) | −2.85690 | − | 2.07566i | −0.141785 | − | 0.103013i | ||||
\(407\) | 16.1760i | 0.801815i | ||||||||
\(408\) | −3.24543 | + | 4.46695i | −0.160673 | + | 0.221147i | ||||
\(409\) | −3.41317 | + | 10.5046i | −0.168770 | + | 0.519421i | −0.999294 | − | 0.0375613i | \(-0.988041\pi\) |
0.830524 | + | 0.556983i | \(0.188041\pi\) | |||||||
\(410\) | −0.415306 | + | 0.0200201i | −0.0205105 | + | 0.000988721i | ||||
\(411\) | 3.57012 | + | 10.9877i | 0.176101 | + | 0.541983i | ||||
\(412\) | −2.58351 | − | 0.839433i | −0.127280 | − | 0.0413559i | ||||
\(413\) | 18.4102 | + | 5.98182i | 0.905905 | + | 0.294346i | ||||
\(414\) | −0.0414726 | − | 0.127639i | −0.00203827 | − | 0.00627314i | ||||
\(415\) | −27.1467 | − | 17.7915i | −1.33258 | − | 0.873350i | ||||
\(416\) | 0.196828 | − | 0.605774i | 0.00965029 | − | 0.0297005i | ||||
\(417\) | −4.66469 | + | 6.42039i | −0.228431 | + | 0.314408i | ||||
\(418\) | 0.633915i | 0.0310058i | ||||||||
\(419\) | −26.6338 | − | 19.3506i | −1.30115 | − | 0.945337i | −0.301179 | − | 0.953568i | \(-0.597380\pi\) |
−0.999966 | + | 0.00823011i | \(0.997380\pi\) | |||||||
\(420\) | 20.3631 | + | 5.54786i | 0.993617 | + | 0.270708i | ||||
\(421\) | 16.3945 | − | 11.9113i | 0.799019 | − | 0.580522i | −0.111607 | − | 0.993752i | \(-0.535600\pi\) |
0.910626 | + | 0.413231i | \(0.135600\pi\) | |||||||
\(422\) | 1.78746 | + | 2.46023i | 0.0870124 | + | 0.119762i | ||||
\(423\) | −3.34464 | + | 1.08674i | −0.162622 | + | 0.0528392i | ||||
\(424\) | 5.88552 | 0.285826 | ||||||||
\(425\) | 13.0944 | − | 22.2473i | 0.635171 | − | 1.07915i | ||||
\(426\) | −1.60930 | −0.0779709 | ||||||||
\(427\) | 2.83956 | − | 0.922629i | 0.137416 | − | 0.0446491i | ||||
\(428\) | −18.2954 | − | 25.1814i | −0.884341 | − | 1.21719i | ||||
\(429\) | 0.705874 | − | 0.512848i | 0.0340799 | − | 0.0247605i | ||||
\(430\) | −1.24166 | + | 0.470666i | −0.0598781 | + | 0.0226975i | ||||
\(431\) | −5.78873 | − | 4.20576i | −0.278833 | − | 0.202584i | 0.439575 | − | 0.898206i | \(-0.355129\pi\) |
−0.718408 | + | 0.695622i | \(0.755129\pi\) | |||||||
\(432\) | 21.4405i | 1.03156i | ||||||||
\(433\) | −3.22262 | + | 4.43555i | −0.154869 | + | 0.213159i | −0.879400 | − | 0.476083i | \(-0.842056\pi\) |
0.724531 | + | 0.689242i | \(0.242056\pi\) | |||||||
\(434\) | −1.12582 | + | 3.46492i | −0.0540412 | + | 0.166322i | ||||
\(435\) | 5.11514 | − | 18.7748i | 0.245252 | − | 0.900184i | ||||
\(436\) | 1.21762 | + | 3.74746i | 0.0583135 | + | 0.179471i | ||||
\(437\) | 1.44688 | + | 0.470119i | 0.0692135 | + | 0.0224888i | ||||
\(438\) | −2.26510 | − | 0.735975i | −0.108231 | − | 0.0351662i | ||||
\(439\) | 9.50415 | + | 29.2508i | 0.453609 | + | 1.39606i | 0.872761 | + | 0.488148i | \(0.162327\pi\) |
−0.419153 | + | 0.907916i | \(0.637673\pi\) | |||||||
\(440\) | 0.854102 | − | 3.13493i | 0.0407177 | − | 0.149452i | ||||
\(441\) | −0.935631 | + | 2.87958i | −0.0445539 | + | 0.137123i | ||||
\(442\) | −0.164750 | + | 0.226758i | −0.00783634 | + | 0.0107858i | ||||
\(443\) | 11.3527i | 0.539381i | 0.962947 | + | 0.269691i | \(0.0869214\pi\) | ||||
−0.962947 | + | 0.269691i | \(0.913079\pi\) | |||||||
\(444\) | 18.9397 | + | 13.7605i | 0.898841 | + | 0.653046i | ||||
\(445\) | 15.7369 | − | 5.96528i | 0.746002 | − | 0.282781i | ||||
\(446\) | 0.982211 | − | 0.713618i | 0.0465090 | − | 0.0337908i | ||||
\(447\) | 16.2854 | + | 22.4149i | 0.770271 | + | 1.06019i | ||||
\(448\) | 22.3476 | − | 7.26117i | 1.05582 | − | 0.343058i | ||||
\(449\) | 15.7661 | 0.744050 | 0.372025 | − | 0.928223i | \(-0.378664\pi\) | ||||
0.372025 | + | 0.928223i | \(0.378664\pi\) | |||||||
\(450\) | 0.0734148 | + | 0.759708i | 0.00346081 | + | 0.0358130i | ||||
\(451\) | −2.03029 | −0.0956027 | ||||||||
\(452\) | −19.5015 | + | 6.33643i | −0.917274 | + | 0.298040i | ||||
\(453\) | 3.36383 | + | 4.62992i | 0.158047 | + | 0.217532i | ||||
\(454\) | −1.98454 | + | 1.44185i | −0.0931391 | + | 0.0676695i | ||||
\(455\) | 2.08504 | + | 0.568064i | 0.0977484 | + | 0.0266312i | ||||
\(456\) | 1.49711 | + | 1.08771i | 0.0701085 | + | 0.0509368i | ||||
\(457\) | 4.16714i | 0.194931i | 0.995239 | + | 0.0974653i | \(0.0310735\pi\) | ||||
−0.995239 | + | 0.0974653i | \(0.968926\pi\) | |||||||
\(458\) | 1.08599 | − | 1.49474i | 0.0507452 | − | 0.0698448i | ||||
\(459\) | 9.00233 | − | 27.7063i | 0.420193 | − | 1.29322i | ||||
\(460\) | −3.23337 | − | 2.11909i | −0.150756 | − | 0.0988033i | ||||
\(461\) | −7.40758 | − | 22.7982i | −0.345005 | − | 1.06182i | −0.961581 | − | 0.274521i | \(-0.911481\pi\) |
0.616576 | − | 0.787296i | \(-0.288519\pi\) | |||||||
\(462\) | −1.67232 | − | 0.543370i | −0.0778035 | − | 0.0252799i | ||||
\(463\) | 39.3021 | + | 12.7700i | 1.82652 | + | 0.593473i | 0.999510 | + | 0.0312899i | \(0.00996151\pi\) |
0.827013 | + | 0.562183i | \(0.190038\pi\) | |||||||
\(464\) | −6.94210 | − | 21.3656i | −0.322279 | − | 0.991872i | ||||
\(465\) | −20.0526 | + | 0.966645i | −0.929916 | + | 0.0448271i | ||||
\(466\) | −1.24558 | + | 3.83351i | −0.0577005 | + | 0.177584i | ||||
\(467\) | 6.11096 | − | 8.41102i | 0.282782 | − | 0.389216i | −0.643871 | − | 0.765134i | \(-0.722673\pi\) |
0.926653 | + | 0.375918i | \(0.122673\pi\) | |||||||
\(468\) | 0.485697i | 0.0224513i | ||||||||
\(469\) | −18.1713 | − | 13.2022i | −0.839072 | − | 0.609622i | ||||
\(470\) | 0.947439 | − | 1.44563i | 0.0437021 | − | 0.0666818i | ||||
\(471\) | 5.10126 | − | 3.70628i | 0.235054 | − | 0.170776i | ||||
\(472\) | −2.53512 | − | 3.48930i | −0.116689 | − | 0.160608i | ||||
\(473\) | −6.16663 | + | 2.00366i | −0.283542 | + | 0.0921284i | ||||
\(474\) | 2.09243 | 0.0961086 | ||||||||
\(475\) | −7.45624 | − | 4.38861i | −0.342116 | − | 0.201363i | ||||
\(476\) | −33.1065 | −1.51743 | ||||||||
\(477\) | −6.42045 | + | 2.08613i | −0.293972 | + | 0.0955174i | ||||
\(478\) | −0.813985 | − | 1.12035i | −0.0372308 | − | 0.0512438i | ||||
\(479\) | 29.1312 | − | 21.1650i | 1.33104 | − | 0.967055i | 0.331314 | − | 0.943520i | \(-0.392508\pi\) |
0.999723 | − | 0.0235349i | \(-0.00749208\pi\) | |||||||
\(480\) | −4.42843 | − | 5.51577i | −0.202129 | − | 0.251759i | ||||
\(481\) | 1.93930 | + | 1.40899i | 0.0884246 | + | 0.0642443i | ||||
\(482\) | 3.73571i | 0.170157i | ||||||||
\(483\) | −2.48043 | + | 3.41402i | −0.112863 | + | 0.155343i | ||||
\(484\) | −4.25366 | + | 13.0914i | −0.193348 | + | 0.595065i | ||||
\(485\) | −11.7285 | + | 9.41645i | −0.532565 | + | 0.427579i | ||||
\(486\) | 0.474466 | + | 1.46025i | 0.0215222 | + | 0.0662385i | ||||
\(487\) | −10.1172 | − | 3.28726i | −0.458452 | − | 0.148960i | 0.0706809 | − | 0.997499i | \(-0.477483\pi\) |
−0.529133 | + | 0.848539i | \(0.677483\pi\) | |||||||
\(488\) | −0.632674 | − | 0.205568i | −0.0286398 | − | 0.00930564i | ||||
\(489\) | 7.15323 | + | 22.0154i | 0.323480 | + | 0.995570i | ||||
\(490\) | −0.527458 | − | 1.39148i | −0.0238281 | − | 0.0628607i | ||||
\(491\) | −5.46010 | + | 16.8045i | −0.246411 | + | 0.758375i | 0.748990 | + | 0.662581i | \(0.230539\pi\) |
−0.995401 | + | 0.0957938i | \(0.969461\pi\) | |||||||
\(492\) | −1.72712 | + | 2.37718i | −0.0778645 | + | 0.107171i | ||||
\(493\) | 30.5243i | 1.37475i | ||||||||
\(494\) | 0.0759986 | + | 0.0552162i | 0.00341934 | + | 0.00248429i | ||||
\(495\) | 0.179450 | + | 3.72260i | 0.00806568 | + | 0.167319i | ||||
\(496\) | −18.7507 | + | 13.6231i | −0.841929 | + | 0.611697i | ||||
\(497\) | −11.4403 | − | 15.7462i | −0.513166 | − | 0.706312i | ||||
\(498\) | 3.72209 | − | 1.20938i | 0.166791 | − | 0.0541936i | ||||
\(499\) | 9.41734 | 0.421578 | 0.210789 | − | 0.977532i | \(-0.432397\pi\) | ||||
0.210789 | + | 0.977532i | \(0.432397\pi\) | |||||||
\(500\) | 15.3494 | + | 15.7404i | 0.686447 | + | 0.703932i | ||||
\(501\) | −30.9595 | −1.38317 | ||||||||
\(502\) | 1.84166 | − | 0.598391i | 0.0821972 | − | 0.0267075i | ||||
\(503\) | 10.5879 | + | 14.5730i | 0.472093 | + | 0.649780i | 0.976961 | − | 0.213416i | \(-0.0684590\pi\) |
−0.504869 | + | 0.863196i | \(0.668459\pi\) | |||||||
\(504\) | 1.59730 | − | 1.16050i | 0.0711493 | − | 0.0516930i | ||||
\(505\) | −1.31304 | − | 27.2383i | −0.0584294 | − | 1.21209i | ||||
\(506\) | 0.260574 | + | 0.189318i | 0.0115839 | + | 0.00841621i | ||||
\(507\) | 19.0060i | 0.844088i | ||||||||
\(508\) | −6.76180 | + | 9.30681i | −0.300006 | + | 0.412923i | ||||
\(509\) | 4.95926 | − | 15.2630i | 0.219815 | − | 0.676522i | −0.778961 | − | 0.627072i | \(-0.784253\pi\) |
0.998777 | − | 0.0494500i | \(-0.0157469\pi\) | |||||||
\(510\) | 1.10330 | + | 2.91060i | 0.0488549 | + | 0.128884i | ||||
\(511\) | −8.90107 | − | 27.3947i | −0.393760 | − | 1.21187i | ||||
\(512\) | −13.0177 | − | 4.22972i | −0.575308 | − | 0.186929i | ||||
\(513\) | −9.28583 | − | 3.01715i | −0.409980 | − | 0.133210i | ||||
\(514\) | −1.14735 | − | 3.53118i | −0.0506075 | − | 0.155754i | ||||
\(515\) | −2.40867 | + | 1.93384i | −0.106138 | + | 0.0852151i | ||||
\(516\) | −2.89981 | + | 8.92470i | −0.127657 | + | 0.392888i | ||||
\(517\) | 4.96086 | − | 6.82803i | 0.218178 | − | 0.300297i | ||||
\(518\) | − | 4.83095i | − | 0.212260i | ||||||
\(519\) | −8.53425 | − | 6.20050i | −0.374612 | − | 0.272172i | ||||
\(520\) | −0.301444 | − | 0.375460i | −0.0132192 | − | 0.0164650i | ||||
\(521\) | 1.78040 | − | 1.29354i | 0.0780007 | − | 0.0566708i | −0.548102 | − | 0.836412i | \(-0.684649\pi\) |
0.626102 | + | 0.779741i | \(0.284649\pi\) | |||||||
\(522\) | −0.530469 | − | 0.730127i | −0.0232180 | − | 0.0319568i | ||||
\(523\) | 7.07194 | − | 2.29781i | 0.309234 | − | 0.100476i | −0.150289 | − | 0.988642i | \(-0.548020\pi\) |
0.459523 | + | 0.888166i | \(0.348020\pi\) | |||||||
\(524\) | −2.94307 | −0.128569 | ||||||||
\(525\) | 17.9688 | − | 15.9084i | 0.784222 | − | 0.694301i | ||||
\(526\) | 5.14547 | 0.224353 | ||||||||
\(527\) | 29.9504 | − | 9.73147i | 1.30466 | − | 0.423909i | ||||
\(528\) | −6.57512 | − | 9.04988i | −0.286145 | − | 0.393845i | ||||
\(529\) | −17.9820 | + | 13.0647i | −0.781828 | + | 0.568031i | ||||
\(530\) | 1.81873 | − | 2.77506i | 0.0790004 | − | 0.120541i | ||||
\(531\) | 4.00233 | + | 2.90786i | 0.173686 | + | 0.126190i | ||||
\(532\) | 11.0957i | 0.481061i | ||||||||
\(533\) | −0.176845 | + | 0.243407i | −0.00766003 | + | 0.0105431i | ||||
\(534\) | −0.627080 | + | 1.92995i | −0.0271364 | + | 0.0835173i | ||||
\(535\) | −35.3526 | + | 1.70419i | −1.52843 | + | 0.0736786i | ||||
\(536\) | 1.54646 | + | 4.75953i | 0.0667971 | + | 0.205580i | ||||
\(537\) | −11.2543 | − | 3.65675i | −0.485660 | − | 0.157800i | ||||
\(538\) | 3.54040 | + | 1.15035i | 0.152638 | + | 0.0495950i | ||||
\(539\) | −2.24543 | − | 6.91072i | −0.0967174 | − | 0.297666i | ||||
\(540\) | 20.7513 | + | 13.6000i | 0.892992 | + | 0.585252i | ||||
\(541\) | 6.38040 | − | 19.6368i | 0.274315 | − | 0.844254i | −0.715085 | − | 0.699037i | \(-0.753612\pi\) |
0.989400 | − | 0.145216i | \(-0.0463878\pi\) | |||||||
\(542\) | −3.38574 | + | 4.66007i | −0.145430 | + | 0.200167i | ||||
\(543\) | − | 30.3473i | − | 1.30233i | ||||||
\(544\) | 8.97666 | + | 6.52192i | 0.384871 | + | 0.279625i | ||||
\(545\) | 4.32299 | + | 1.17779i | 0.185177 | + | 0.0504508i | ||||
\(546\) | −0.210809 | + | 0.153161i | −0.00902177 | + | 0.00655470i | ||||
\(547\) | 18.4424 | + | 25.3839i | 0.788542 | + | 1.08534i | 0.994288 | + | 0.106730i | \(0.0340379\pi\) |
−0.205746 | + | 0.978605i | \(0.565962\pi\) | |||||||
\(548\) | 14.6790 | − | 4.76949i | 0.627055 | − | 0.203743i | ||||
\(549\) | 0.763042 | 0.0325658 | ||||||||
\(550\) | −1.21421 | − | 1.37146i | −0.0517739 | − | 0.0584793i | ||||
\(551\) | 10.2303 | 0.435825 | ||||||||
\(552\) | 0.894219 | − | 0.290549i | 0.0380605 | − | 0.0123666i | ||||
\(553\) | 14.8747 | + | 20.4733i | 0.632538 | + | 0.870615i | ||||
\(554\) | −2.06435 | + | 1.49984i | −0.0877057 | + | 0.0637219i | ||||
\(555\) | 24.8923 | − | 9.43574i | 1.05662 | − | 0.400525i | ||||
\(556\) | 8.57732 | + | 6.23178i | 0.363759 | + | 0.264287i | ||||
\(557\) | 22.3515i | 0.947064i | 0.880776 | + | 0.473532i | \(0.157021\pi\) | ||||
−0.880776 | + | 0.473532i | \(0.842979\pi\) | |||||||
\(558\) | −0.547280 | + | 0.753267i | −0.0231682 | + | 0.0318883i | ||||
\(559\) | −0.296921 | + | 0.913829i | −0.0125584 | + | 0.0386509i | ||||
\(560\) | 7.28304 | − | 26.7320i | 0.307765 | − | 1.12963i | ||||
\(561\) | 4.69683 | + | 14.4554i | 0.198300 | + | 0.610305i | ||||
\(562\) | −4.50807 | − | 1.46476i | −0.190162 | − | 0.0617872i | ||||
\(563\) | −32.6843 | − | 10.6198i | −1.37748 | − | 0.447570i | −0.475639 | − | 0.879640i | \(-0.657783\pi\) |
−0.901840 | + | 0.432070i | \(0.857783\pi\) | |||||||
\(564\) | −3.77455 | − | 11.6169i | −0.158937 | − | 0.489159i | ||||
\(565\) | −6.12912 | + | 22.4966i | −0.257854 | + | 0.946438i | ||||
\(566\) | 1.34329 | − | 4.13422i | 0.0564626 | − | 0.173774i | ||||
\(567\) | 11.1271 | − | 15.3152i | 0.467295 | − | 0.643177i | ||||
\(568\) | 4.33657i | 0.181958i | ||||||||
\(569\) | 26.0230 | + | 18.9068i | 1.09094 | + | 0.792615i | 0.979558 | − | 0.201162i | \(-0.0644718\pi\) |
0.111383 | + | 0.993778i | \(0.464472\pi\) | |||||||
\(570\) | 0.975494 | − | 0.369773i | 0.0408590 | − | 0.0154881i | ||||
\(571\) | 21.9784 | − | 15.9683i | 0.919768 | − | 0.668251i | −0.0236979 | − | 0.999719i | \(-0.507544\pi\) |
0.943466 | + | 0.331468i | \(0.107544\pi\) | |||||||
\(572\) | −0.685138 | − | 0.943012i | −0.0286471 | − | 0.0394293i | ||||
\(573\) | −25.2407 | + | 8.20121i | −1.05445 | + | 0.342610i | ||||
\(574\) | 0.606344 | 0.0253083 | ||||||||
\(575\) | −4.03076 | + | 1.75427i | −0.168094 | + | 0.0731581i | ||||
\(576\) | 6.00521 | 0.250217 | ||||||||
\(577\) | 13.1724 | − | 4.27998i | 0.548375 | − | 0.178178i | −0.0217089 | − | 0.999764i | \(-0.506911\pi\) |
0.570084 | + | 0.821586i | \(0.306911\pi\) | |||||||
\(578\) | −1.03965 | − | 1.43095i | −0.0432436 | − | 0.0595198i | ||||
\(579\) | −8.08407 | + | 5.87342i | −0.335963 | + | 0.244091i | ||||
\(580\) | −25.0822 | − | 6.83356i | −1.04148 | − | 0.283748i | ||||
\(581\) | 38.2928 | + | 27.8214i | 1.58865 | + | 1.15422i | ||||
\(582\) | − | 1.81360i | − | 0.0751759i | ||||||
\(583\) | 9.52297 | − | 13.1072i | 0.394401 | − | 0.542847i | ||||
\(584\) | −1.98322 | + | 6.10374i | −0.0820664 | + | 0.252574i | ||||
\(585\) | 0.461925 | + | 0.302738i | 0.0190982 | + | 0.0125167i | ||||
\(586\) | −0.696383 | − | 2.14325i | −0.0287673 | − | 0.0885367i | ||||
\(587\) | −41.9890 | − | 13.6431i | −1.73307 | − | 0.563110i | −0.739185 | − | 0.673502i | \(-0.764789\pi\) |
−0.993888 | + | 0.110392i | \(0.964789\pi\) | |||||||
\(588\) | −10.0016 | − | 3.24971i | −0.412458 | − | 0.134016i | ||||
\(589\) | −3.26152 | − | 10.0379i | −0.134389 | − | 0.413606i | ||||
\(590\) | −2.42862 | + | 0.117073i | −0.0999848 | + | 0.00481982i | ||||
\(591\) | −3.63675 | + | 11.1928i | −0.149596 | + | 0.460409i | ||||
\(592\) | 18.0643 | − | 24.8634i | 0.742440 | − | 1.02188i | ||||
\(593\) | − | 16.2531i | − | 0.667437i | −0.942673 | − | 0.333718i | \(-0.891697\pi\) | ||
0.942673 | − | 0.333718i | \(-0.108303\pi\) | |||||||
\(594\) | −1.67232 | − | 1.21501i | −0.0686162 | − | 0.0498526i | ||||
\(595\) | −20.6355 | + | 31.4862i | −0.845973 | + | 1.29081i | ||||
\(596\) | 29.9451 | − | 21.7564i | 1.22660 | − | 0.891177i | ||||
\(597\) | −4.50318 | − | 6.19810i | −0.184303 | − | 0.253671i | ||||
\(598\) | 0.0453938 | − | 0.0147493i | 0.00185629 | − | 0.000603145i | ||||
\(599\) | −30.4822 | −1.24547 | −0.622734 | − | 0.782433i | \(-0.713978\pi\) | ||||
−0.622734 | + | 0.782433i | \(0.713978\pi\) | |||||||
\(600\) | −5.32237 | + | 0.514331i | −0.217285 | + | 0.0209975i | ||||
\(601\) | −28.9162 | −1.17952 | −0.589758 | − | 0.807580i | \(-0.700777\pi\) | ||||
−0.589758 | + | 0.807580i | \(0.700777\pi\) | |||||||
\(602\) | 1.84166 | − | 0.598391i | 0.0750604 | − | 0.0243886i | ||||
\(603\) | −3.37405 | − | 4.64398i | −0.137402 | − | 0.189117i | ||||
\(604\) | 6.18533 | − | 4.49390i | 0.251677 | − | 0.182854i | ||||
\(605\) | 9.79935 | + | 12.2054i | 0.398400 | + | 0.496222i | ||||
\(606\) | 2.66017 | + | 1.93272i | 0.108062 | + | 0.0785115i | ||||
\(607\) | − | 8.23276i | − | 0.334157i | −0.985944 | − | 0.167079i | \(-0.946567\pi\) | ||
0.985944 | − | 0.167079i | \(-0.0534334\pi\) | |||||||
\(608\) | 2.18584 | − | 3.00855i | 0.0886474 | − | 0.122013i | ||||
\(609\) | −8.76906 | + | 26.9884i | −0.355340 | + | 1.09362i | ||||
\(610\) | −0.292434 | + | 0.234786i | −0.0118403 | + | 0.00950619i | ||||
\(611\) | −0.386489 | − | 1.18949i | −0.0156357 | − | 0.0481217i | ||||
\(612\) | −8.04681 | − | 2.61457i | −0.325273 | − | 0.105688i | ||||
\(613\) | 4.56327 | + | 1.48270i | 0.184309 | + | 0.0598856i | 0.399717 | − | 0.916638i | \(-0.369108\pi\) |
−0.215408 | + | 0.976524i | \(0.569108\pi\) | |||||||
\(614\) | −0.242403 | − | 0.746040i | −0.00978259 | − | 0.0301077i | ||||
\(615\) | 1.18430 | + | 3.12430i | 0.0477557 | + | 0.125984i | ||||
\(616\) | −1.46422 | + | 4.50639i | −0.0589949 | + | 0.181568i | ||||
\(617\) | 1.19428 | − | 1.64379i | 0.0480800 | − | 0.0661765i | −0.784300 | − | 0.620382i | \(-0.786978\pi\) |
0.832380 | + | 0.554205i | \(0.186978\pi\) | |||||||
\(618\) | − | 0.372454i | − | 0.0149823i | ||||||
\(619\) | 6.58621 | + | 4.78516i | 0.264722 | + | 0.192332i | 0.712226 | − | 0.701950i | \(-0.247687\pi\) |
−0.447504 | + | 0.894282i | \(0.647687\pi\) | |||||||
\(620\) | 1.29139 | + | 26.7892i | 0.0518634 | + | 1.07588i | ||||
\(621\) | −4.01342 | + | 2.91592i | −0.161053 | + | 0.117012i | ||||
\(622\) | 2.76127 | + | 3.80057i | 0.110717 | + | 0.152389i | ||||
\(623\) | −23.3414 | + | 7.58408i | −0.935153 | + | 0.303850i | ||||
\(624\) | −1.65769 | −0.0663605 | ||||||||
\(625\) | 24.5374 | − | 4.78708i | 0.981496 | − | 0.191483i | ||||
\(626\) | −4.09413 | −0.163634 | ||||||||
\(627\) | 4.84474 | − | 1.57415i | 0.193480 | − | 0.0628656i | ||||
\(628\) | −4.95140 | − | 6.81502i | −0.197582 | − | 0.271949i | ||||
\(629\) | −33.7830 | + | 24.5448i | −1.34702 | + | 0.978665i | ||||
\(630\) | −0.0535925 | − | 1.11175i | −0.00213518 | − | 0.0442932i | ||||
\(631\) | −26.9279 | − | 19.5643i | −1.07198 | − | 0.778841i | −0.0957154 | − | 0.995409i | \(-0.530514\pi\) |
−0.976268 | + | 0.216567i | \(0.930514\pi\) | |||||||
\(632\) | − | 5.63846i | − | 0.224286i | ||||||
\(633\) | 14.3638 | − | 19.7701i | 0.570912 | − | 0.785793i | ||||
\(634\) | −1.24091 | + | 3.81911i | −0.0492826 | + | 0.151676i | ||||
\(635\) | 4.63663 | + | 12.2318i | 0.183999 | + | 0.485406i | ||||
\(636\) | −7.24572 | − | 22.3000i | −0.287311 | − | 0.884253i | ||||
\(637\) | −1.02409 | − | 0.332749i | −0.0405761 | − | 0.0131840i | ||||
\(638\) | 2.05988 | + | 0.669295i | 0.0815514 | + | 0.0264977i | ||||
\(639\) | −1.53710 | − | 4.73072i | −0.0608069 | − | 0.187144i | ||||
\(640\) | −9.79599 | + | 7.86488i | −0.387220 | + | 0.310887i | ||||
\(641\) | −12.3755 | + | 38.0880i | −0.488804 | + | 1.50439i | 0.337590 | + | 0.941293i | \(0.390388\pi\) |
−0.826394 | + | 0.563092i | \(0.809612\pi\) | |||||||
\(642\) | 2.50848 | − | 3.45263i | 0.0990019 | − | 0.136264i | ||||
\(643\) | − | 11.6870i | − | 0.460890i | −0.973085 | − | 0.230445i | \(-0.925982\pi\) | ||
0.973085 | − | 0.230445i | \(-0.0740182\pi\) | |||||||
\(644\) | 4.56095 | + | 3.31372i | 0.179727 | + | 0.130579i | ||||
\(645\) | 6.68042 | + | 8.32070i | 0.263041 | + | 0.327627i | ||||
\(646\) | −1.32391 | + | 0.961876i | −0.0520885 | + | 0.0378445i | ||||
\(647\) | −4.67252 | − | 6.43117i | −0.183696 | − | 0.252835i | 0.707231 | − | 0.706982i | \(-0.249944\pi\) |
−0.890927 | + | 0.454147i | \(0.849944\pi\) | |||||||
\(648\) | −4.01144 | + | 1.30339i | −0.157584 | + | 0.0512022i | ||||
\(649\) | −11.8727 | −0.466044 | ||||||||
\(650\) | −0.270183 | + | 0.0261093i | −0.0105974 | + | 0.00102409i | ||||
\(651\) | 29.2766 | 1.14744 | ||||||||
\(652\) | 29.4114 | − | 9.55635i | 1.15184 | − | 0.374256i | ||||
\(653\) | −1.96165 | − | 2.69998i | −0.0767653 | − | 0.105658i | 0.768908 | − | 0.639360i | \(-0.220801\pi\) |
−0.845673 | + | 0.533702i | \(0.820801\pi\) | |||||||
\(654\) | −0.437077 | + | 0.317555i | −0.0170910 | + | 0.0124174i | ||||
\(655\) | −1.83443 | + | 2.79902i | −0.0716772 | + | 0.109367i | ||||
\(656\) | 3.12067 | + | 2.26730i | 0.121842 | + | 0.0885232i | ||||
\(657\) | − | 7.36146i | − | 0.287198i | ||||||
\(658\) | −1.48155 | + | 2.03918i | −0.0577570 | + | 0.0794957i | ||||
\(659\) | 9.28621 | − | 28.5800i | 0.361739 | − | 1.11332i | −0.590259 | − | 0.807214i | \(-0.700974\pi\) |
0.951998 | − | 0.306105i | \(-0.0990257\pi\) | |||||||
\(660\) | −12.9296 | + | 0.623280i | −0.503285 | + | 0.0242611i | ||||
\(661\) | −2.03462 | − | 6.26192i | −0.0791375 | − | 0.243560i | 0.903659 | − | 0.428253i | \(-0.140871\pi\) |
−0.982796 | + | 0.184693i | \(0.940871\pi\) | |||||||
\(662\) | 1.56142 | + | 0.507335i | 0.0606862 | + | 0.0197181i | ||||
\(663\) | 2.14213 | + | 0.696020i | 0.0831934 | + | 0.0270312i | ||||
\(664\) | −3.25890 | − | 10.0299i | −0.126470 | − | 0.389235i | ||||
\(665\) | 10.5527 | + | 6.91604i | 0.409215 | + | 0.268192i | ||||
\(666\) | 0.381521 | − | 1.17420i | 0.0147836 | − | 0.0454994i | ||||
\(667\) | 3.05526 | − | 4.20521i | 0.118300 | − | 0.162826i | ||||
\(668\) | 41.3603i | 1.60028i | ||||||||
\(669\) | −7.89293 | − | 5.73455i | −0.305158 | − | 0.221711i | ||||
\(670\) | 2.72203 | + | 0.741608i | 0.105161 | + | 0.0286508i | ||||
\(671\) | −1.48150 | + | 1.07637i | −0.0571925 | + | 0.0415528i | ||||
\(672\) | 6.06318 | + | 8.34526i | 0.233892 | + | 0.321925i | ||||
\(673\) | −6.40194 | + | 2.08012i | −0.246777 | + | 0.0801826i | −0.429794 | − | 0.902927i | \(-0.641414\pi\) |
0.183017 | + | 0.983110i | \(0.441414\pi\) | |||||||
\(674\) | 5.32730 | 0.205200 | ||||||||
\(675\) | 25.8688 | − | 11.2586i | 0.995690 | − | 0.433345i | ||||
\(676\) | 25.3911 | 0.976580 | ||||||||
\(677\) | 12.9799 | − | 4.21741i | 0.498857 | − | 0.162088i | −0.0487718 | − | 0.998810i | \(-0.515531\pi\) |
0.547629 | + | 0.836722i | \(0.315531\pi\) | |||||||
\(678\) | −1.65253 | − | 2.27452i | −0.0634652 | − | 0.0873523i | ||||
\(679\) | 17.7451 | − | 12.8925i | 0.680993 | − | 0.494770i | ||||
\(680\) | 7.84317 | − | 2.97305i | 0.300772 | − | 0.114011i | ||||
\(681\) | 15.9475 | + | 11.5866i | 0.611111 | + | 0.443998i | ||||
\(682\) | − | 2.23453i | − | 0.0855645i | ||||||
\(683\) | 0.689001 | − | 0.948329i | 0.0263639 | − | 0.0362868i | −0.795632 | − | 0.605781i | \(-0.792861\pi\) |
0.821995 | + | 0.569494i | \(0.192861\pi\) | |||||||
\(684\) | −0.876278 | + | 2.69691i | −0.0335053 | + | 0.103119i | ||||
\(685\) | 4.61345 | − | 16.9334i | 0.176271 | − | 0.646992i | ||||
\(686\) | −0.621431 | − | 1.91257i | −0.0237264 | − | 0.0730222i | ||||
\(687\) | −14.1205 | − | 4.58802i | −0.538729 | − | 0.175044i | ||||
\(688\) | 11.7160 | + | 3.80677i | 0.446669 | + | 0.145132i | ||||
\(689\) | −0.741913 | − | 2.28337i | −0.0282646 | − | 0.0869896i | ||||
\(690\) | 0.139333 | − | 0.511414i | 0.00530432 | − | 0.0194692i | ||||
\(691\) | 3.79083 | − | 11.6670i | 0.144210 | − | 0.443832i | −0.852699 | − | 0.522403i | \(-0.825036\pi\) |
0.996909 | + | 0.0785709i | \(0.0250357\pi\) | |||||||
\(692\) | −8.28354 | + | 11.4013i | −0.314893 | + | 0.433413i | ||||
\(693\) | − | 5.43497i | − | 0.206457i | ||||||
\(694\) | 2.11869 | + | 1.53932i | 0.0804244 | + | 0.0584317i | ||||
\(695\) | 11.2731 | − | 4.27320i | 0.427612 | − | 0.162092i | ||||
\(696\) | 5.11514 | − | 3.71637i | 0.193889 | − | 0.140869i | ||||
\(697\) | −3.08068 | − | 4.24019i | −0.116689 | − | 0.160609i | ||||
\(698\) | −0.979709 | + | 0.318327i | −0.0370825 | + | 0.0120488i | ||||
\(699\) | 32.3910 | 1.22514 | ||||||||
\(700\) | −21.2528 | − | 24.0054i | −0.803282 | − | 0.907317i | ||||
\(701\) | −20.0271 | −0.756415 | −0.378207 | − | 0.925721i | \(-0.623459\pi\) | ||||
−0.378207 | + | 0.925721i | \(0.623459\pi\) | |||||||
\(702\) | −0.291330 | + | 0.0946589i | −0.0109956 | + | 0.00357267i | ||||
\(703\) | 8.22624 | + | 11.3225i | 0.310259 | + | 0.427034i | ||||
\(704\) | −11.6595 | + | 8.47113i | −0.439434 | + | 0.319268i | ||||
\(705\) | −13.4010 | − | 3.65106i | −0.504711 | − | 0.137507i | ||||
\(706\) | −0.283038 | − | 0.205639i | −0.0106523 | − | 0.00773932i | ||||
\(707\) | 39.7677i | 1.49562i | ||||||||
\(708\) | −10.0998 | + | 13.9012i | −0.379574 | + | 0.522439i | ||||
\(709\) | 1.35816 | − | 4.17998i | 0.0510067 | − | 0.156983i | −0.922309 | − | 0.386454i | \(-0.873700\pi\) |
0.973315 | + | 0.229471i | \(0.0736998\pi\) | |||||||
\(710\) | 2.04472 | + | 1.34007i | 0.0767369 | + | 0.0502921i | ||||
\(711\) | 1.99856 | + | 6.15094i | 0.0749519 | + | 0.230678i | ||||
\(712\) | 5.20063 | + | 1.68979i | 0.194902 | + | 0.0633275i | ||||
\(713\) | −5.10019 | − | 1.65715i | −0.191004 | − | 0.0620608i | ||||
\(714\) | −1.40270 | − | 4.31707i | −0.0524948 | − | 0.161562i | ||||
\(715\) | −1.32391 | + | 0.0638197i | −0.0495114 | + | 0.00238672i | ||||
\(716\) | −4.88523 | + | 15.0352i | −0.182570 | + | 0.561892i | ||||
\(717\) | −6.54109 | + | 9.00303i | −0.244281 | + | 0.336224i | ||||
\(718\) | 4.06727i | 0.151789i | ||||||||
\(719\) | −8.84119 | − | 6.42350i | −0.329721 | − | 0.239556i | 0.410591 | − | 0.911819i | \(-0.365322\pi\) |
−0.740312 | + | 0.672263i | \(0.765322\pi\) | |||||||
\(720\) | 3.88134 | − | 5.92225i | 0.144649 | − | 0.220709i | ||||
\(721\) | 3.64427 | − | 2.64772i | 0.135720 | − | 0.0986061i | ||||
\(722\) | −1.72328 | − | 2.37189i | −0.0641337 | − | 0.0882725i | ||||
\(723\) | 28.5505 | − | 9.27661i | 1.06180 | − | 0.345001i | ||||
\(724\) | −40.5425 | −1.50675 | ||||||||
\(725\) | −22.1330 | + | 19.5952i | −0.821999 | + | 0.727747i | ||||
\(726\) | −1.88734 | −0.0700458 | ||||||||
\(727\) | −31.2928 | + | 10.1677i | −1.16059 | + | 0.377097i | −0.825122 | − | 0.564955i | \(-0.808893\pi\) |
−0.335465 | + | 0.942053i | \(0.608893\pi\) | |||||||
\(728\) | 0.412723 | + | 0.568064i | 0.0152965 | + | 0.0210538i | ||||
\(729\) | 24.0719 | − | 17.4893i | 0.891553 | − | 0.647751i | ||||
\(730\) | 2.26510 | + | 2.82126i | 0.0838350 | + | 0.104420i | ||||
\(731\) | −13.5416 | − | 9.83853i | −0.500853 | − | 0.363891i | ||||
\(732\) | 2.65026i | 0.0979564i | ||||||||
\(733\) | −8.08190 | + | 11.1238i | −0.298512 | + | 0.410866i | −0.931756 | − | 0.363086i | \(-0.881723\pi\) |
0.633244 | + | 0.773952i | \(0.281723\pi\) | |||||||
\(734\) | 1.21386 | − | 3.73586i | 0.0448042 | − | 0.137893i | ||||
\(735\) | −9.32470 | + | 7.48650i | −0.343947 | + | 0.276144i | ||||
\(736\) | −0.583880 | − | 1.79700i | −0.0215221 | − | 0.0662382i | ||||
\(737\) | 13.1019 | + | 4.25705i | 0.482613 | + | 0.156811i | ||||
\(738\) | 0.147377 | + | 0.0478857i | 0.00542502 | + | 0.00176270i | ||||
\(739\) | 13.3462 | + | 41.0754i | 0.490949 | + | 1.51098i | 0.823177 | + | 0.567785i | \(0.192200\pi\) |
−0.332228 | + | 0.943199i | \(0.607800\pi\) | |||||||
\(740\) | −12.6057 | − | 33.2548i | −0.463393 | − | 1.22247i | ||||
\(741\) | 0.233273 | − | 0.717939i | 0.00856948 | − | 0.0263741i | ||||
\(742\) | −2.84402 | + | 3.91446i | −0.104407 | + | 0.143704i | ||||
\(743\) | − | 31.8479i | − | 1.16838i | −0.811615 | − | 0.584192i | \(-0.801411\pi\) | ||
0.811615 | − | 0.584192i | \(-0.198589\pi\) | |||||||
\(744\) | −5.27725 | − | 3.83415i | −0.193473 | − | 0.140567i | ||||
\(745\) | −2.02658 | − | 42.0404i | −0.0742482 | − | 1.54024i | ||||
\(746\) | −3.42909 | + | 2.49138i | −0.125548 | + | 0.0912158i | ||||
\(747\) | 7.11021 | + | 9.78637i | 0.260149 | + | 0.358064i | ||||
\(748\) | 19.3116 | − | 6.27472i | 0.706102 | − | 0.229426i | ||||
\(749\) | 51.6145 | 1.88595 | ||||||||
\(750\) | −1.40219 | + | 2.66847i | −0.0512009 | + | 0.0974387i | ||||
\(751\) | −29.5952 | −1.07995 | −0.539973 | − | 0.841682i | \(-0.681565\pi\) | ||||
−0.539973 | + | 0.841682i | \(0.681565\pi\) | |||||||
\(752\) | −15.2502 | + | 4.95510i | −0.556119 | + | 0.180694i | ||||
\(753\) | −9.14650 | − | 12.5891i | −0.333317 | − | 0.458771i | ||||
\(754\) | 0.259663 | − | 0.188656i | 0.00945637 | − | 0.00687045i | ||||
\(755\) | −0.418601 | − | 8.68368i | −0.0152345 | − | 0.316031i | ||||
\(756\) | −29.2715 | − | 21.2670i | −1.06459 | − | 0.773473i | ||||
\(757\) | − | 0.0984401i | − | 0.00357786i | −0.999998 | − | 0.00178893i | \(-0.999431\pi\) | ||
0.999998 | − | 0.00178893i | \(-0.000569435\pi\) | |||||||
\(758\) | −2.33098 | + | 3.20832i | −0.0846651 | + | 0.116531i | ||||
\(759\) | 0.799814 | − | 2.46157i | 0.0290314 | − | 0.0893495i | ||||
\(760\) | −0.996425 | − | 2.62866i | −0.0361441 | − | 0.0953514i | ||||
\(761\) | −1.09516 | − | 3.37056i | −0.0396996 | − | 0.122183i | 0.929243 | − | 0.369470i | \(-0.120461\pi\) |
−0.968942 | + | 0.247287i | \(0.920461\pi\) | |||||||
\(762\) | −1.50010 | − | 0.487411i | −0.0543428 | − | 0.0176570i | ||||
\(763\) | −6.21421 | − | 2.01912i | −0.224969 | − | 0.0730970i | ||||
\(764\) | 10.9564 | + | 33.7203i | 0.396388 | + | 1.21996i |