Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [210,2,Mod(73,210)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(210, base_ring=CyclotomicField(12))
chi = DirichletCharacter(H, H._module([0, 9, 2]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("210.73");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 210 = 2 \cdot 3 \cdot 5 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 210.u (of order \(12\), 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: | \(1.67685844245\) |
Analytic rank: | \(0\) |
Dimension: | \(16\) |
Relative dimension: | \(4\) over \(\Q(\zeta_{12})\) |
Coefficient field: | \(\mathbb{Q}[x]/(x^{16} - \cdots)\) |
comment: defining polynomial
gp: f.mod \\ as an extension of the character field
|
|
Defining polynomial: | \( x^{16} - 4 x^{15} + 12 x^{14} - 48 x^{13} + 67 x^{12} - 24 x^{11} + 118 x^{10} - 176 x^{9} + 351 x^{8} + \cdots + 4 \) |
Coefficient ring: | \(\Z[a_1, \ldots, a_{7}]\) |
Coefficient ring index: | \( 1 \) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{12}]$ |
Embedding invariants
Embedding label | 103.2 | ||
Root | \(-0.709944 + 0.925217i\) of defining polynomial | ||
Character | \(\chi\) | \(=\) | 210.103 |
Dual form | 210.2.u.b.157.2 |
$q$-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 \(\left(\mathbb{Z}/210\mathbb{Z}\right)^\times\).
\(n\) | \(31\) | \(71\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(1\) | \(e\left(\frac{3}{4}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.258819 | − | 0.965926i | −0.183013 | − | 0.683013i | ||||
\(3\) | 0.965926 | + | 0.258819i | 0.557678 | + | 0.149429i | ||||
\(4\) | −0.866025 | + | 0.500000i | −0.433013 | + | 0.250000i | ||||
\(5\) | 1.96047 | − | 1.07544i | 0.876747 | − | 0.480951i | ||||
\(6\) | − | 1.00000i | − | 0.408248i | ||||||
\(7\) | −1.52856 | − | 2.15951i | −0.577743 | − | 0.816219i | ||||
\(8\) | 0.707107 | + | 0.707107i | 0.250000 | + | 0.250000i | ||||
\(9\) | 0.866025 | + | 0.500000i | 0.288675 | + | 0.166667i | ||||
\(10\) | −1.54620 | − | 1.61532i | −0.488952 | − | 0.510809i | ||||
\(11\) | 0.883028 | + | 1.52945i | 0.266243 | + | 0.461147i | 0.967889 | − | 0.251380i | \(-0.0808843\pi\) |
−0.701645 | + | 0.712526i | \(0.747551\pi\) | |||||||
\(12\) | −0.965926 | + | 0.258819i | −0.278839 | + | 0.0747146i | ||||
\(13\) | 2.71395 | − | 2.71395i | 0.752713 | − | 0.752713i | −0.222272 | − | 0.974985i | \(-0.571347\pi\) |
0.974985 | + | 0.222272i | \(0.0713472\pi\) | |||||||
\(14\) | −1.69031 | + | 2.03540i | −0.451754 | + | 0.543984i | ||||
\(15\) | 2.17201 | − | 0.531389i | 0.560810 | − | 0.137204i | ||||
\(16\) | 0.500000 | − | 0.866025i | 0.125000 | − | 0.216506i | ||||
\(17\) | −0.574830 | + | 2.14529i | −0.139417 | + | 0.520310i | 0.860524 | + | 0.509410i | \(0.170136\pi\) |
−0.999941 | + | 0.0109000i | \(0.996530\pi\) | |||||||
\(18\) | 0.258819 | − | 0.965926i | 0.0610042 | − | 0.227671i | ||||
\(19\) | 0.886994 | − | 1.53632i | 0.203490 | − | 0.352456i | −0.746160 | − | 0.665766i | \(-0.768105\pi\) |
0.949651 | + | 0.313311i | \(0.101438\pi\) | |||||||
\(20\) | −1.16009 | + | 1.91159i | −0.259405 | + | 0.427445i | ||||
\(21\) | −0.917556 | − | 2.48155i | −0.200227 | − | 0.541519i | ||||
\(22\) | 1.24879 | − | 1.24879i | 0.266243 | − | 0.266243i | ||||
\(23\) | −3.90900 | + | 1.04741i | −0.815082 | + | 0.218401i | −0.642195 | − | 0.766541i | \(-0.721976\pi\) |
−0.172887 | + | 0.984942i | \(0.555309\pi\) | |||||||
\(24\) | 0.500000 | + | 0.866025i | 0.102062 | + | 0.176777i | ||||
\(25\) | 2.68686 | − | 4.21673i | 0.537372 | − | 0.843346i | ||||
\(26\) | −3.32389 | − | 1.91905i | −0.651869 | − | 0.376356i | ||||
\(27\) | 0.707107 | + | 0.707107i | 0.136083 | + | 0.136083i | ||||
\(28\) | 2.40353 | + | 1.10591i | 0.454225 | + | 0.208998i | ||||
\(29\) | 3.84628i | 0.714236i | 0.934059 | + | 0.357118i | \(0.116241\pi\) | ||||
−0.934059 | + | 0.357118i | \(0.883759\pi\) | |||||||
\(30\) | −1.07544 | − | 1.96047i | −0.196348 | − | 0.357931i | ||||
\(31\) | −8.94554 | + | 5.16471i | −1.60667 | + | 0.927610i | −0.616558 | + | 0.787310i | \(0.711473\pi\) |
−0.990109 | + | 0.140300i | \(0.955193\pi\) | |||||||
\(32\) | −0.965926 | − | 0.258819i | −0.170753 | − | 0.0457532i | ||||
\(33\) | 0.457089 | + | 1.70588i | 0.0795690 | + | 0.296956i | ||||
\(34\) | 2.22097 | 0.380893 | ||||||||
\(35\) | −5.31912 | − | 2.58977i | −0.899096 | − | 0.437752i | ||||
\(36\) | −1.00000 | −0.166667 | ||||||||
\(37\) | −0.861499 | − | 3.21516i | −0.141630 | − | 0.528569i | −0.999882 | − | 0.0153416i | \(-0.995116\pi\) |
0.858253 | − | 0.513227i | \(-0.171550\pi\) | |||||||
\(38\) | −1.71354 | − | 0.459142i | −0.277973 | − | 0.0744827i | ||||
\(39\) | 3.32389 | − | 1.91905i | 0.532248 | − | 0.307294i | ||||
\(40\) | 2.14671 | + | 0.625808i | 0.339425 | + | 0.0989490i | ||||
\(41\) | 11.8993i | 1.85836i | 0.369622 | + | 0.929182i | \(0.379487\pi\) | ||||
−0.369622 | + | 0.929182i | \(0.620513\pi\) | |||||||
\(42\) | −2.15951 | + | 1.52856i | −0.333220 | + | 0.235862i | ||||
\(43\) | 3.46335 | + | 3.46335i | 0.528155 | + | 0.528155i | 0.920022 | − | 0.391867i | \(-0.128171\pi\) |
−0.391867 | + | 0.920022i | \(0.628171\pi\) | |||||||
\(44\) | −1.52945 | − | 0.883028i | −0.230573 | − | 0.133122i | ||||
\(45\) | 2.23553 | + | 0.0488750i | 0.333254 | + | 0.00728585i | ||||
\(46\) | 2.02344 | + | 3.50471i | 0.298341 | + | 0.516741i | ||||
\(47\) | 5.93837 | − | 1.59118i | 0.866200 | − | 0.232098i | 0.201756 | − | 0.979436i | \(-0.435335\pi\) |
0.664444 | + | 0.747338i | \(0.268668\pi\) | |||||||
\(48\) | 0.707107 | − | 0.707107i | 0.102062 | − | 0.102062i | ||||
\(49\) | −2.32699 | + | 6.60190i | −0.332427 | + | 0.943129i | ||||
\(50\) | −4.76846 | − | 1.50394i | −0.674362 | − | 0.212689i | ||||
\(51\) | −1.11049 | + | 1.92342i | −0.155499 | + | 0.269332i | ||||
\(52\) | −0.993373 | + | 3.70732i | −0.137756 | + | 0.514113i | ||||
\(53\) | 0.106258 | − | 0.396561i | 0.0145957 | − | 0.0544719i | −0.958244 | − | 0.285952i | \(-0.907690\pi\) |
0.972840 | + | 0.231480i | \(0.0743569\pi\) | |||||||
\(54\) | 0.500000 | − | 0.866025i | 0.0680414 | − | 0.117851i | ||||
\(55\) | 3.37598 | + | 2.04879i | 0.455217 | + | 0.276259i | ||||
\(56\) | 0.446149 | − | 2.60786i | 0.0596191 | − | 0.348490i | ||||
\(57\) | 1.25440 | − | 1.25440i | 0.166149 | − | 0.166149i | ||||
\(58\) | 3.71522 | − | 0.995491i | 0.487833 | − | 0.130714i | ||||
\(59\) | 5.18379 | + | 8.97859i | 0.674872 | + | 1.16891i | 0.976506 | + | 0.215489i | \(0.0691346\pi\) |
−0.301634 | + | 0.953424i | \(0.597532\pi\) | |||||||
\(60\) | −1.61532 | + | 1.54620i | −0.208537 | + | 0.199614i | ||||
\(61\) | −5.87936 | − | 3.39445i | −0.752775 | − | 0.434615i | 0.0739204 | − | 0.997264i | \(-0.476449\pi\) |
−0.826696 | + | 0.562649i | \(0.809782\pi\) | |||||||
\(62\) | 7.30401 | + | 7.30401i | 0.927610 | + | 0.927610i | ||||
\(63\) | −0.244018 | − | 2.63447i | −0.0307434 | − | 0.331913i | ||||
\(64\) | 1.00000i | 0.125000i | ||||||||
\(65\) | 2.40191 | − | 8.23928i | 0.297921 | − | 1.02196i | ||||
\(66\) | 1.52945 | − | 0.883028i | 0.188262 | − | 0.108693i | ||||
\(67\) | −7.37834 | − | 1.97702i | −0.901408 | − | 0.241532i | −0.221787 | − | 0.975095i | \(-0.571189\pi\) |
−0.679621 | + | 0.733563i | \(0.737856\pi\) | |||||||
\(68\) | −0.574830 | − | 2.14529i | −0.0697083 | − | 0.260155i | ||||
\(69\) | −4.04689 | −0.487188 | ||||||||
\(70\) | −1.12484 | + | 5.80816i | −0.134444 | + | 0.694208i | ||||
\(71\) | −10.7193 | −1.27214 | −0.636072 | − | 0.771629i | \(-0.719442\pi\) | ||||
−0.636072 | + | 0.771629i | \(0.719442\pi\) | |||||||
\(72\) | 0.258819 | + | 0.965926i | 0.0305021 | + | 0.113835i | ||||
\(73\) | 10.2705 | + | 2.75198i | 1.20207 | + | 0.322095i | 0.803647 | − | 0.595106i | \(-0.202890\pi\) |
0.398426 | + | 0.917200i | \(0.369556\pi\) | |||||||
\(74\) | −2.88263 | + | 1.66429i | −0.335099 | + | 0.193470i | ||||
\(75\) | 3.68668 | − | 3.37764i | 0.425701 | − | 0.390016i | ||||
\(76\) | 1.77399i | 0.203490i | ||||||||
\(77\) | 1.95310 | − | 4.24477i | 0.222577 | − | 0.483737i | ||||
\(78\) | −2.71395 | − | 2.71395i | −0.307294 | − | 0.307294i | ||||
\(79\) | −10.9907 | − | 6.34546i | −1.23655 | − | 0.713920i | −0.268159 | − | 0.963375i | \(-0.586415\pi\) |
−0.968386 | + | 0.249455i | \(0.919749\pi\) | |||||||
\(80\) | 0.0488750 | − | 2.23553i | 0.00546439 | − | 0.249940i | ||||
\(81\) | 0.500000 | + | 0.866025i | 0.0555556 | + | 0.0962250i | ||||
\(82\) | 11.4939 | − | 3.07978i | 1.26929 | − | 0.340104i | ||||
\(83\) | −1.94227 | + | 1.94227i | −0.213191 | + | 0.213191i | −0.805622 | − | 0.592430i | \(-0.798169\pi\) |
0.592430 | + | 0.805622i | \(0.298169\pi\) | |||||||
\(84\) | 2.03540 | + | 1.69031i | 0.222081 | + | 0.184428i | ||||
\(85\) | 1.18020 | + | 4.82397i | 0.128011 | + | 0.523233i | ||||
\(86\) | 2.44896 | − | 4.24172i | 0.264078 | − | 0.457396i | ||||
\(87\) | −0.995491 | + | 3.71522i | −0.106728 | + | 0.398314i | ||||
\(88\) | −0.457089 | + | 1.70588i | −0.0487259 | + | 0.181847i | ||||
\(89\) | −0.558127 | + | 0.966705i | −0.0591614 | + | 0.102471i | −0.894089 | − | 0.447889i | \(-0.852176\pi\) |
0.834928 | + | 0.550359i | \(0.185509\pi\) | |||||||
\(90\) | −0.531389 | − | 2.17201i | −0.0560133 | − | 0.228950i | ||||
\(91\) | −10.0092 | − | 1.71236i | −1.04925 | − | 0.179504i | ||||
\(92\) | 2.86158 | − | 2.86158i | 0.298341 | − | 0.298341i | ||||
\(93\) | −9.97746 | + | 2.67345i | −1.03461 | + | 0.277224i | ||||
\(94\) | −3.07393 | − | 5.32419i | −0.317051 | − | 0.549149i | ||||
\(95\) | 0.0867037 | − | 3.96581i | 0.00889561 | − | 0.406884i | ||||
\(96\) | −0.866025 | − | 0.500000i | −0.0883883 | − | 0.0510310i | ||||
\(97\) | −7.26720 | − | 7.26720i | −0.737872 | − | 0.737872i | 0.234293 | − | 0.972166i | \(-0.424722\pi\) |
−0.972166 | + | 0.234293i | \(0.924722\pi\) | |||||||
\(98\) | 6.97922 | + | 0.539001i | 0.705007 | + | 0.0544473i | ||||
\(99\) | 1.76606i | 0.177495i | ||||||||
\(100\) | −0.218523 | + | 4.99522i | −0.0218523 | + | 0.499522i | ||||
\(101\) | 15.8887 | − | 9.17333i | 1.58098 | − | 0.912780i | 0.586265 | − | 0.810119i | \(-0.300598\pi\) |
0.994716 | − | 0.102661i | \(-0.0327358\pi\) | |||||||
\(102\) | 2.14529 | + | 0.574830i | 0.212416 | + | 0.0569166i | ||||
\(103\) | 2.36040 | + | 8.80911i | 0.232577 | + | 0.867988i | 0.979226 | + | 0.202770i | \(0.0649945\pi\) |
−0.746650 | + | 0.665217i | \(0.768339\pi\) | |||||||
\(104\) | 3.83810 | 0.376356 | ||||||||
\(105\) | −4.46760 | − | 3.87822i | −0.435993 | − | 0.378476i | ||||
\(106\) | −0.410550 | −0.0398762 | ||||||||
\(107\) | −3.81880 | − | 14.2519i | −0.369177 | − | 1.37779i | −0.861669 | − | 0.507471i | \(-0.830581\pi\) |
0.492492 | − | 0.870317i | \(-0.336086\pi\) | |||||||
\(108\) | −0.965926 | − | 0.258819i | −0.0929463 | − | 0.0249049i | ||||
\(109\) | 17.4494 | − | 10.0744i | 1.67135 | − | 0.964955i | 0.704467 | − | 0.709736i | \(-0.251186\pi\) |
0.966883 | − | 0.255218i | \(-0.0821474\pi\) | |||||||
\(110\) | 1.10521 | − | 3.79121i | 0.105378 | − | 0.361478i | ||||
\(111\) | − | 3.32858i | − | 0.315935i | ||||||
\(112\) | −2.63447 | + | 0.244018i | −0.248934 | + | 0.0230576i | ||||
\(113\) | −6.54677 | − | 6.54677i | −0.615869 | − | 0.615869i | 0.328600 | − | 0.944469i | \(-0.393423\pi\) |
−0.944469 | + | 0.328600i | \(0.893423\pi\) | |||||||
\(114\) | −1.53632 | − | 0.886994i | −0.143889 | − | 0.0830746i | ||||
\(115\) | −6.53703 | + | 6.25731i | −0.609581 | + | 0.583497i | ||||
\(116\) | −1.92314 | − | 3.33098i | −0.178559 | − | 0.309273i | ||||
\(117\) | 3.70732 | − | 0.993373i | 0.342742 | − | 0.0918374i | ||||
\(118\) | 7.33099 | − | 7.33099i | 0.674872 | − | 0.674872i | ||||
\(119\) | 5.51145 | − | 2.03786i | 0.505234 | − | 0.186811i | ||||
\(120\) | 1.91159 | + | 1.16009i | 0.174504 | + | 0.105902i | ||||
\(121\) | 3.94052 | − | 6.82518i | 0.358229 | − | 0.620471i | ||||
\(122\) | −1.75710 | + | 6.55758i | −0.159080 | + | 0.593695i | ||||
\(123\) | −3.07978 | + | 11.4939i | −0.277694 | + | 1.03637i | ||||
\(124\) | 5.16471 | − | 8.94554i | 0.463805 | − | 0.803333i | ||||
\(125\) | 0.732658 | − | 11.1563i | 0.0655309 | − | 0.997851i | ||||
\(126\) | −2.48155 | + | 0.917556i | −0.221074 | + | 0.0817424i | ||||
\(127\) | 12.5444 | − | 12.5444i | 1.11313 | − | 1.11313i | 0.120409 | − | 0.992724i | \(-0.461579\pi\) |
0.992724 | − | 0.120409i | \(-0.0384206\pi\) | |||||||
\(128\) | 0.965926 | − | 0.258819i | 0.0853766 | − | 0.0228766i | ||||
\(129\) | 2.44896 | + | 4.24172i | 0.215619 | + | 0.373462i | ||||
\(130\) | −8.58020 | − | 0.187587i | −0.752533 | − | 0.0164525i | ||||
\(131\) | 0.830756 | + | 0.479637i | 0.0725835 | + | 0.0419061i | 0.535853 | − | 0.844312i | \(-0.319990\pi\) |
−0.463269 | + | 0.886218i | \(0.653324\pi\) | |||||||
\(132\) | −1.24879 | − | 1.24879i | −0.108693 | − | 0.108693i | ||||
\(133\) | −4.67353 | + | 0.432886i | −0.405246 | + | 0.0375359i | ||||
\(134\) | 7.63862i | 0.659877i | ||||||||
\(135\) | 2.14671 | + | 0.625808i | 0.184759 | + | 0.0538610i | ||||
\(136\) | −1.92342 | + | 1.11049i | −0.164932 | + | 0.0952233i | ||||
\(137\) | −10.7669 | − | 2.88499i | −0.919880 | − | 0.246481i | −0.232346 | − | 0.972633i | \(-0.574640\pi\) |
−0.687534 | + | 0.726152i | \(0.741307\pi\) | |||||||
\(138\) | 1.04741 | + | 3.90900i | 0.0891616 | + | 0.332756i | ||||
\(139\) | −13.5695 | −1.15095 | −0.575477 | − | 0.817818i | \(-0.695184\pi\) | ||||
−0.575477 | + | 0.817818i | \(0.695184\pi\) | |||||||
\(140\) | 5.90138 | − | 0.416751i | 0.498758 | − | 0.0352219i | ||||
\(141\) | 6.14785 | 0.517742 | ||||||||
\(142\) | 2.77435 | + | 10.3540i | 0.232819 | + | 0.868891i | ||||
\(143\) | 6.54733 | + | 1.75435i | 0.547516 | + | 0.146706i | ||||
\(144\) | 0.866025 | − | 0.500000i | 0.0721688 | − | 0.0416667i | ||||
\(145\) | 4.13644 | + | 7.54050i | 0.343513 | + | 0.626205i | ||||
\(146\) | − | 10.6328i | − | 0.879979i | ||||||
\(147\) | −3.95640 | + | 5.77468i | −0.326318 | + | 0.476288i | ||||
\(148\) | 2.35366 | + | 2.35366i | 0.193470 | + | 0.193470i | ||||
\(149\) | 8.74565 | + | 5.04930i | 0.716471 | + | 0.413655i | 0.813453 | − | 0.581631i | \(-0.197585\pi\) |
−0.0969812 | + | 0.995286i | \(0.530919\pi\) | |||||||
\(150\) | −4.21673 | − | 2.68686i | −0.344294 | − | 0.219381i | ||||
\(151\) | 7.15497 | + | 12.3928i | 0.582263 | + | 1.00851i | 0.995211 | + | 0.0977541i | \(0.0311659\pi\) |
−0.412948 | + | 0.910755i | \(0.635501\pi\) | |||||||
\(152\) | 1.71354 | − | 0.459142i | 0.138987 | − | 0.0372413i | ||||
\(153\) | −1.57046 | + | 1.57046i | −0.126964 | + | 0.126964i | ||||
\(154\) | −4.60563 | − | 0.787924i | −0.371133 | − | 0.0634927i | ||||
\(155\) | −11.9831 | + | 19.7456i | −0.962506 | + | 1.58601i | ||||
\(156\) | −1.91905 | + | 3.32389i | −0.153647 | + | 0.266124i | ||||
\(157\) | −2.48036 | + | 9.25683i | −0.197954 | + | 0.738776i | 0.793528 | + | 0.608534i | \(0.208242\pi\) |
−0.991482 | + | 0.130242i | \(0.958425\pi\) | |||||||
\(158\) | −3.28465 | + | 12.2585i | −0.261313 | + | 0.975233i | ||||
\(159\) | 0.205275 | − | 0.355547i | 0.0162794 | − | 0.0281967i | ||||
\(160\) | −2.17201 | + | 0.531389i | −0.171712 | + | 0.0420100i | ||||
\(161\) | 8.23705 | + | 6.84049i | 0.649170 | + | 0.539106i | ||||
\(162\) | 0.707107 | − | 0.707107i | 0.0555556 | − | 0.0555556i | ||||
\(163\) | −11.4401 | + | 3.06537i | −0.896058 | + | 0.240098i | −0.677323 | − | 0.735686i | \(-0.736860\pi\) |
−0.218736 | + | 0.975784i | \(0.570193\pi\) | |||||||
\(164\) | −5.94967 | − | 10.3051i | −0.464591 | − | 0.804695i | ||||
\(165\) | 2.73068 | + | 2.85275i | 0.212583 | + | 0.222086i | ||||
\(166\) | 2.37878 | + | 1.37339i | 0.184629 | + | 0.106596i | ||||
\(167\) | 6.95883 | + | 6.95883i | 0.538490 | + | 0.538490i | 0.923085 | − | 0.384595i | \(-0.125659\pi\) |
−0.384595 | + | 0.923085i | \(0.625659\pi\) | |||||||
\(168\) | 1.10591 | − | 2.40353i | 0.0853229 | − | 0.185436i | ||||
\(169\) | − | 1.73100i | − | 0.133154i | ||||||
\(170\) | 4.35414 | − | 2.38852i | 0.333947 | − | 0.183191i | ||||
\(171\) | 1.53632 | − | 0.886994i | 0.117485 | − | 0.0678301i | ||||
\(172\) | −4.73102 | − | 1.26767i | −0.360737 | − | 0.0966592i | ||||
\(173\) | −2.24296 | − | 8.37084i | −0.170529 | − | 0.636423i | −0.997270 | − | 0.0738403i | \(-0.976474\pi\) |
0.826741 | − | 0.562583i | \(-0.190192\pi\) | |||||||
\(174\) | 3.84628 | 0.291586 | ||||||||
\(175\) | −13.2131 | + | 0.643231i | −0.998817 | + | 0.0486237i | ||||
\(176\) | 1.76606 | 0.133122 | ||||||||
\(177\) | 2.68333 | + | 10.0143i | 0.201691 | + | 0.752722i | ||||
\(178\) | 1.07822 | + | 0.288908i | 0.0808160 | + | 0.0216546i | ||||
\(179\) | 11.5646 | − | 6.67682i | 0.864378 | − | 0.499049i | −0.00109809 | − | 0.999999i | \(-0.500350\pi\) |
0.865476 | + | 0.500951i | \(0.167016\pi\) | |||||||
\(180\) | −1.96047 | + | 1.07544i | −0.146125 | + | 0.0801586i | ||||
\(181\) | 8.73922i | 0.649581i | 0.945786 | + | 0.324791i | \(0.105294\pi\) | ||||
−0.945786 | + | 0.324791i | \(0.894706\pi\) | |||||||
\(182\) | 0.936566 | + | 10.1114i | 0.0694229 | + | 0.749505i | ||||
\(183\) | −4.80048 | − | 4.80048i | −0.354862 | − | 0.354862i | ||||
\(184\) | −3.50471 | − | 2.02344i | −0.258371 | − | 0.149170i | ||||
\(185\) | −5.14665 | − | 5.37672i | −0.378389 | − | 0.395304i | ||||
\(186\) | 5.16471 | + | 8.94554i | 0.378695 | + | 0.655919i | ||||
\(187\) | −3.78871 | + | 1.01518i | −0.277058 | + | 0.0742374i | ||||
\(188\) | −4.34719 | + | 4.34719i | −0.317051 | + | 0.317051i | ||||
\(189\) | 0.446149 | − | 2.60786i | 0.0324525 | − | 0.189694i | ||||
\(190\) | −3.85312 | + | 0.942678i | −0.279535 | + | 0.0683891i | ||||
\(191\) | 5.43796 | − | 9.41883i | 0.393477 | − | 0.681523i | −0.599428 | − | 0.800429i | \(-0.704605\pi\) |
0.992906 | + | 0.118906i | \(0.0379386\pi\) | |||||||
\(192\) | −0.258819 | + | 0.965926i | −0.0186787 | + | 0.0697097i | ||||
\(193\) | 2.89908 | − | 10.8195i | 0.208680 | − | 0.778806i | −0.779616 | − | 0.626258i | \(-0.784586\pi\) |
0.988296 | − | 0.152548i | \(-0.0487478\pi\) | |||||||
\(194\) | −5.13869 | + | 8.90047i | −0.368936 | + | 0.639016i | ||||
\(195\) | 4.45255 | − | 7.33688i | 0.318854 | − | 0.525405i | ||||
\(196\) | −1.28572 | − | 6.88091i | −0.0918371 | − | 0.491494i | ||||
\(197\) | −10.3775 | + | 10.3775i | −0.739367 | + | 0.739367i | −0.972456 | − | 0.233088i | \(-0.925117\pi\) |
0.233088 | + | 0.972456i | \(0.425117\pi\) | |||||||
\(198\) | 1.70588 | − | 0.457089i | 0.121232 | − | 0.0324839i | ||||
\(199\) | −9.28152 | − | 16.0761i | −0.657949 | − | 1.13960i | −0.981146 | − | 0.193270i | \(-0.938091\pi\) |
0.323197 | − | 0.946332i | \(-0.395243\pi\) | |||||||
\(200\) | 4.88157 | − | 1.08178i | 0.345179 | − | 0.0764935i | ||||
\(201\) | −6.61524 | − | 3.81931i | −0.466603 | − | 0.269394i | ||||
\(202\) | −12.9730 | − | 12.9730i | −0.912780 | − | 0.912780i | ||||
\(203\) | 8.30609 | − | 5.87928i | 0.582973 | − | 0.412645i | ||||
\(204\) | − | 2.22097i | − | 0.155499i | ||||||
\(205\) | 12.7970 | + | 23.3283i | 0.893783 | + | 1.62932i | ||||
\(206\) | 7.89804 | − | 4.55993i | 0.550282 | − | 0.317706i | ||||
\(207\) | −3.90900 | − | 1.04741i | −0.271694 | − | 0.0728002i | ||||
\(208\) | −0.993373 | − | 3.70732i | −0.0688780 | − | 0.257056i | ||||
\(209\) | 3.13296 | 0.216712 | ||||||||
\(210\) | −2.58977 | + | 5.31912i | −0.178711 | + | 0.367054i | ||||
\(211\) | −0.453133 | −0.0311950 | −0.0155975 | − | 0.999878i | \(-0.504965\pi\) | ||||
−0.0155975 | + | 0.999878i | \(0.504965\pi\) | |||||||
\(212\) | 0.106258 | + | 0.396561i | 0.00729784 | + | 0.0272359i | ||||
\(213\) | −10.3540 | − | 2.77435i | −0.709446 | − | 0.190096i | ||||
\(214\) | −12.7779 | + | 7.37735i | −0.873483 | + | 0.504305i | ||||
\(215\) | 10.5144 | + | 3.06515i | 0.717076 | + | 0.209042i | ||||
\(216\) | 1.00000i | 0.0680414i | ||||||||
\(217\) | 24.8271 | + | 11.4234i | 1.68537 | + | 0.775473i | ||||
\(218\) | −14.2474 | − | 14.2474i | −0.964955 | − | 0.964955i | ||||
\(219\) | 9.20830 | + | 5.31641i | 0.622239 | + | 0.359250i | ||||
\(220\) | −3.94808 | − | 0.0863160i | −0.266179 | − | 0.00581942i | ||||
\(221\) | 4.26215 | + | 7.38226i | 0.286703 | + | 0.496585i | ||||
\(222\) | −3.21516 | + | 0.861499i | −0.215787 | + | 0.0578201i | ||||
\(223\) | 4.67260 | − | 4.67260i | 0.312901 | − | 0.312901i | −0.533132 | − | 0.846032i | \(-0.678985\pi\) |
0.846032 | + | 0.533132i | \(0.178985\pi\) | |||||||
\(224\) | 0.917556 | + | 2.48155i | 0.0613068 | + | 0.165806i | ||||
\(225\) | 4.43525 | − | 2.30836i | 0.295683 | − | 0.153891i | ||||
\(226\) | −4.62927 | + | 8.01813i | −0.307934 | + | 0.533358i | ||||
\(227\) | −4.29835 | + | 16.0416i | −0.285291 | + | 1.06472i | 0.663335 | + | 0.748323i | \(0.269140\pi\) |
−0.948626 | + | 0.316399i | \(0.897526\pi\) | |||||||
\(228\) | −0.459142 | + | 1.71354i | −0.0304074 | + | 0.113482i | ||||
\(229\) | −6.77075 | + | 11.7273i | −0.447423 | + | 0.774960i | −0.998217 | − | 0.0596810i | \(-0.980992\pi\) |
0.550794 | + | 0.834641i | \(0.314325\pi\) | |||||||
\(230\) | 7.73600 | + | 4.69477i | 0.510097 | + | 0.309564i | ||||
\(231\) | 2.98518 | − | 3.59463i | 0.196410 | − | 0.236510i | ||||
\(232\) | −2.71973 | + | 2.71973i | −0.178559 | + | 0.178559i | ||||
\(233\) | −11.1838 | + | 2.99668i | −0.732672 | + | 0.196319i | −0.605819 | − | 0.795603i | \(-0.707154\pi\) |
−0.126853 | + | 0.991922i | \(0.540488\pi\) | |||||||
\(234\) | −1.91905 | − | 3.32389i | −0.125452 | − | 0.217290i | ||||
\(235\) | 9.93075 | − | 9.50581i | 0.647811 | − | 0.620091i | ||||
\(236\) | −8.97859 | − | 5.18379i | −0.584456 | − | 0.337436i | ||||
\(237\) | −8.97383 | − | 8.97383i | −0.582913 | − | 0.582913i | ||||
\(238\) | −3.39489 | − | 4.79621i | −0.220058 | − | 0.310892i | ||||
\(239\) | − | 17.0264i | − | 1.10135i | −0.834721 | − | 0.550673i | \(-0.814371\pi\) | ||
0.834721 | − | 0.550673i | \(-0.185629\pi\) | |||||||
\(240\) | 0.625808 | − | 2.14671i | 0.0403958 | − | 0.138570i | ||||
\(241\) | 16.3866 | − | 9.46081i | 1.05555 | − | 0.609424i | 0.131355 | − | 0.991335i | \(-0.458067\pi\) |
0.924199 | + | 0.381911i | \(0.124734\pi\) | |||||||
\(242\) | −7.61250 | − | 2.03976i | −0.489350 | − | 0.131121i | ||||
\(243\) | 0.258819 | + | 0.965926i | 0.0166032 | + | 0.0619642i | ||||
\(244\) | 6.78891 | 0.434615 | ||||||||
\(245\) | 2.53797 | + | 15.4453i | 0.162145 | + | 0.986767i | ||||
\(246\) | 11.8993 | 0.758674 | ||||||||
\(247\) | −1.76223 | − | 6.57674i | −0.112128 | − | 0.418468i | ||||
\(248\) | −9.97746 | − | 2.67345i | −0.633569 | − | 0.169764i | ||||
\(249\) | −2.37878 | + | 1.37339i | −0.150749 | + | 0.0870350i | ||||
\(250\) | −10.9658 | + | 2.17977i | −0.693538 | + | 0.137861i | ||||
\(251\) | 18.1527i | 1.14579i | 0.819629 | + | 0.572894i | \(0.194179\pi\) | ||||
−0.819629 | + | 0.572894i | \(0.805821\pi\) | |||||||
\(252\) | 1.52856 | + | 2.15951i | 0.0962904 | + | 0.136037i | ||||
\(253\) | −5.05372 | − | 5.05372i | −0.317725 | − | 0.317725i | ||||
\(254\) | −15.3637 | − | 8.87021i | −0.964002 | − | 0.556567i | ||||
\(255\) | −0.108550 | + | 4.96506i | −0.00679766 | + | 0.310924i | ||||
\(256\) | −0.500000 | − | 0.866025i | −0.0312500 | − | 0.0541266i | ||||
\(257\) | −23.2500 | + | 6.22983i | −1.45030 | + | 0.388606i | −0.896127 | − | 0.443797i | \(-0.853631\pi\) |
−0.554170 | + | 0.832403i | \(0.686964\pi\) | |||||||
\(258\) | 3.46335 | − | 3.46335i | 0.215619 | − | 0.215619i | ||||
\(259\) | −5.62632 | + | 6.77499i | −0.349603 | + | 0.420978i | ||||
\(260\) | 2.03952 | + | 8.33639i | 0.126486 | + | 0.517001i | ||||
\(261\) | −1.92314 | + | 3.33098i | −0.119039 | + | 0.206182i | ||||
\(262\) | 0.248279 | − | 0.926588i | 0.0153387 | − | 0.0572448i | ||||
\(263\) | 3.63274 | − | 13.5576i | 0.224004 | − | 0.835995i | −0.758797 | − | 0.651328i | \(-0.774212\pi\) |
0.982801 | − | 0.184668i | \(-0.0591209\pi\) | |||||||
\(264\) | −0.883028 | + | 1.52945i | −0.0543466 | + | 0.0941311i | ||||
\(265\) | −0.218162 | − | 0.891719i | −0.0134016 | − | 0.0547779i | ||||
\(266\) | 1.62773 | + | 4.40224i | 0.0998027 | + | 0.269919i | ||||
\(267\) | −0.789311 | + | 0.789311i | −0.0483051 | + | 0.0483051i | ||||
\(268\) | 7.37834 | − | 1.97702i | 0.450704 | − | 0.120766i | ||||
\(269\) | −13.2762 | − | 22.9951i | −0.809466 | − | 1.40204i | −0.913234 | − | 0.407435i | \(-0.866423\pi\) |
0.103768 | − | 0.994602i | \(-0.466910\pi\) | |||||||
\(270\) | 0.0488750 | − | 2.23553i | 0.00297444 | − | 0.136050i | ||||
\(271\) | 10.3582 | + | 5.98031i | 0.629216 | + | 0.363278i | 0.780448 | − | 0.625220i | \(-0.214991\pi\) |
−0.151232 | + | 0.988498i | \(0.548324\pi\) | |||||||
\(272\) | 1.57046 | + | 1.57046i | 0.0952233 | + | 0.0952233i | ||||
\(273\) | −9.22499 | − | 4.24460i | −0.558322 | − | 0.256895i | ||||
\(274\) | 11.1467i | 0.673399i | ||||||||
\(275\) | 8.82185 | + | 0.385925i | 0.531977 | + | 0.0232721i | ||||
\(276\) | 3.50471 | − | 2.02344i | 0.210959 | − | 0.121797i | ||||
\(277\) | 2.28118 | + | 0.611241i | 0.137063 | + | 0.0367259i | 0.326698 | − | 0.945129i | \(-0.394064\pi\) |
−0.189635 | + | 0.981855i | \(0.560731\pi\) | |||||||
\(278\) | 3.51206 | + | 13.1072i | 0.210639 | + | 0.786116i | ||||
\(279\) | −10.3294 | −0.618406 | ||||||||
\(280\) | −1.92994 | − | 5.59243i | −0.115336 | − | 0.334212i | ||||
\(281\) | −11.0306 | −0.658033 | −0.329017 | − | 0.944324i | \(-0.606717\pi\) | ||||
−0.329017 | + | 0.944324i | \(0.606717\pi\) | |||||||
\(282\) | −1.59118 | − | 5.93837i | −0.0947534 | − | 0.353625i | ||||
\(283\) | 22.6131 | + | 6.05917i | 1.34421 | + | 0.360180i | 0.857995 | − | 0.513658i | \(-0.171710\pi\) |
0.486217 | + | 0.873838i | \(0.338377\pi\) | |||||||
\(284\) | 9.28317 | − | 5.35964i | 0.550855 | − | 0.318036i | ||||
\(285\) | 1.11018 | − | 3.80824i | 0.0657612 | − | 0.225581i | ||||
\(286\) | − | 6.77830i | − | 0.400809i | ||||||
\(287\) | 25.6968 | − | 18.1889i | 1.51683 | − | 1.07366i | ||||
\(288\) | −0.707107 | − | 0.707107i | −0.0416667 | − | 0.0416667i | ||||
\(289\) | 10.4506 | + | 6.03364i | 0.614740 | + | 0.354920i | ||||
\(290\) | 6.21298 | − | 5.94712i | 0.364839 | − | 0.349227i | ||||
\(291\) | −5.13869 | − | 8.90047i | −0.301235 | − | 0.521755i | ||||
\(292\) | −10.2705 | + | 2.75198i | −0.601037 | + | 0.161047i | ||||
\(293\) | −15.4837 | + | 15.4837i | −0.904565 | + | 0.904565i | −0.995827 | − | 0.0912620i | \(-0.970910\pi\) |
0.0912620 | + | 0.995827i | \(0.470910\pi\) | |||||||
\(294\) | 6.60190 | + | 2.32699i | 0.385031 | + | 0.135713i | ||||
\(295\) | 19.8186 | + | 12.0274i | 1.15388 | + | 0.700261i | ||||
\(296\) | 1.66429 | − | 2.88263i | 0.0967348 | − | 0.167550i | ||||
\(297\) | −0.457089 | + | 1.70588i | −0.0265230 | + | 0.0989852i | ||||
\(298\) | 2.61371 | − | 9.75450i | 0.151408 | − | 0.565063i | ||||
\(299\) | −7.76618 | + | 13.4514i | −0.449130 | + | 0.777916i | ||||
\(300\) | −1.50394 | + | 4.76846i | −0.0868298 | + | 0.275307i | ||||
\(301\) | 2.18520 | − | 12.7731i | 0.125953 | − | 0.736228i | ||||
\(302\) | 10.1186 | − | 10.1186i | 0.582263 | − | 0.582263i | ||||
\(303\) | 17.7215 | − | 4.74846i | 1.01807 | − | 0.272792i | ||||
\(304\) | −0.886994 | − | 1.53632i | −0.0508726 | − | 0.0881139i | ||||
\(305\) | −15.1768 | − | 0.331808i | −0.869023 | − | 0.0189992i | ||||
\(306\) | 1.92342 | + | 1.11049i | 0.109954 | + | 0.0634822i | ||||
\(307\) | 2.12149 | + | 2.12149i | 0.121080 | + | 0.121080i | 0.765050 | − | 0.643971i | \(-0.222714\pi\) |
−0.643971 | + | 0.765050i | \(0.722714\pi\) | |||||||
\(308\) | 0.430950 | + | 4.65263i | 0.0245557 | + | 0.265108i | ||||
\(309\) | 9.11987i | 0.518811i | ||||||||
\(310\) | 22.1743 | + | 6.46424i | 1.25941 | + | 0.367144i | ||||
\(311\) | 13.0082 | − | 7.51027i | 0.737626 | − | 0.425868i | −0.0835796 | − | 0.996501i | \(-0.526635\pi\) |
0.821205 | + | 0.570633i | \(0.193302\pi\) | |||||||
\(312\) | 3.70732 | + | 0.993373i | 0.209886 | + | 0.0562387i | ||||
\(313\) | −3.44701 | − | 12.8644i | −0.194836 | − | 0.727139i | −0.992309 | − | 0.123784i | \(-0.960497\pi\) |
0.797473 | − | 0.603355i | \(-0.206170\pi\) | |||||||
\(314\) | 9.58338 | 0.540821 | ||||||||
\(315\) | −3.31161 | − | 4.90237i | −0.186588 | − | 0.276217i | ||||
\(316\) | 12.6909 | 0.713920 | ||||||||
\(317\) | 3.59802 | + | 13.4280i | 0.202085 | + | 0.754192i | 0.990318 | + | 0.138815i | \(0.0443294\pi\) |
−0.788233 | + | 0.615377i | \(0.789004\pi\) | |||||||
\(318\) | −0.396561 | − | 0.106258i | −0.0222380 | − | 0.00595867i | ||||
\(319\) | −5.88269 | + | 3.39638i | −0.329368 | + | 0.190160i | ||||
\(320\) | 1.07544 | + | 1.96047i | 0.0601189 | + | 0.109593i | ||||
\(321\) | − | 14.7547i | − | 0.823527i | ||||||
\(322\) | 4.47550 | − | 9.72682i | 0.249410 | − | 0.542055i | ||||
\(323\) | 2.78598 | + | 2.78598i | 0.155016 | + | 0.155016i | ||||
\(324\) | −0.866025 | − | 0.500000i | −0.0481125 | − | 0.0277778i | ||||
\(325\) | −4.15198 | − | 18.7360i | −0.230311 | − | 1.03928i | ||||
\(326\) | 5.92183 | + | 10.2569i | 0.327980 | + | 0.568078i | ||||
\(327\) | 19.4623 | − | 5.21491i | 1.07627 | − | 0.288385i | ||||
\(328\) | −8.41410 | + | 8.41410i | −0.464591 | + | 0.464591i | ||||
\(329\) | −12.5133 | − | 10.3918i | −0.689883 | − | 0.572916i | ||||
\(330\) | 2.04879 | − | 3.37598i | 0.112782 | − | 0.185842i | ||||
\(331\) | 9.31631 | − | 16.1363i | 0.512071 | − | 0.886932i | −0.487832 | − | 0.872938i | \(-0.662212\pi\) |
0.999902 | − | 0.0139944i | \(-0.00445470\pi\) | |||||||
\(332\) | 0.710918 | − | 2.65318i | 0.0390167 | − | 0.145612i | ||||
\(333\) | 0.861499 | − | 3.21516i | 0.0472099 | − | 0.176190i | ||||
\(334\) | 4.92063 | − | 8.52279i | 0.269245 | − | 0.466346i | ||||
\(335\) | −16.5912 | + | 4.05908i | −0.906472 | + | 0.221771i | ||||
\(336\) | −2.60786 | − | 0.446149i | −0.142271 | − | 0.0243394i | ||||
\(337\) | 9.63568 | − | 9.63568i | 0.524889 | − | 0.524889i | −0.394155 | − | 0.919044i | \(-0.628963\pi\) |
0.919044 | + | 0.394155i | \(0.128963\pi\) | |||||||
\(338\) | −1.67202 | + | 0.448015i | −0.0909456 | + | 0.0243688i | ||||
\(339\) | −4.62927 | − | 8.01813i | −0.251427 | − | 0.435485i | ||||
\(340\) | −3.43407 | − | 3.58758i | −0.186238 | − | 0.194564i | ||||
\(341\) | −15.7983 | − | 9.12117i | −0.855528 | − | 0.493939i | ||||
\(342\) | −1.25440 | − | 1.25440i | −0.0678301 | − | 0.0678301i | ||||
\(343\) | 17.8138 | − | 5.06626i | 0.961857 | − | 0.273552i | ||||
\(344\) | 4.89791i | 0.264078i | ||||||||
\(345\) | −7.93379 | + | 4.35219i | −0.427141 | + | 0.234314i | ||||
\(346\) | −7.50509 | + | 4.33306i | −0.403476 | + | 0.232947i | ||||
\(347\) | −33.6890 | − | 9.02693i | −1.80852 | − | 0.484591i | −0.813264 | − | 0.581895i | \(-0.802311\pi\) |
−0.995255 | + | 0.0973042i | \(0.968978\pi\) | |||||||
\(348\) | −0.995491 | − | 3.71522i | −0.0533639 | − | 0.199157i | ||||
\(349\) | −1.49727 | −0.0801469 | −0.0400735 | − | 0.999197i | \(-0.512759\pi\) | ||||
−0.0400735 | + | 0.999197i | \(0.512759\pi\) | |||||||
\(350\) | 4.04112 | + | 12.5964i | 0.216007 | + | 0.673306i | ||||
\(351\) | 3.83810 | 0.204863 | ||||||||
\(352\) | −0.457089 | − | 1.70588i | −0.0243629 | − | 0.0909237i | ||||
\(353\) | −5.76343 | − | 1.54431i | −0.306756 | − | 0.0821951i | 0.102157 | − | 0.994768i | \(-0.467426\pi\) |
−0.408913 | + | 0.912573i | \(0.634092\pi\) | |||||||
\(354\) | 8.97859 | − | 5.18379i | 0.477207 | − | 0.275515i | ||||
\(355\) | −21.0148 | + | 11.5279i | −1.11535 | + | 0.611840i | ||||
\(356\) | − | 1.11625i | − | 0.0591614i | ||||||
\(357\) | 5.85109 | − | 0.541957i | 0.309673 | − | 0.0286834i | ||||
\(358\) | −9.44244 | − | 9.44244i | −0.499049 | − | 0.499049i | ||||
\(359\) | 14.9989 | + | 8.65964i | 0.791613 | + | 0.457038i | 0.840530 | − | 0.541765i | \(-0.182244\pi\) |
−0.0489170 | + | 0.998803i | \(0.515577\pi\) | |||||||
\(360\) | 1.54620 | + | 1.61532i | 0.0814920 | + | 0.0851349i | ||||
\(361\) | 7.92648 | + | 13.7291i | 0.417183 | + | 0.722583i | ||||
\(362\) | 8.44144 | − | 2.26188i | 0.443672 | − | 0.118882i | ||||
\(363\) | 5.57274 | − | 5.57274i | 0.292493 | − | 0.292493i | ||||
\(364\) | 9.52443 | − | 3.52167i | 0.499216 | − | 0.184586i | ||||
\(365\) | 23.0946 | − | 5.65017i | 1.20883 | − | 0.295743i | ||||
\(366\) | −3.39445 | + | 5.87936i | −0.177431 | + | 0.307319i | ||||
\(367\) | 1.41960 | − | 5.29802i | 0.0741025 | − | 0.276554i | −0.918926 | − | 0.394430i | \(-0.870942\pi\) |
0.993028 | + | 0.117876i | \(0.0376086\pi\) | |||||||
\(368\) | −1.04741 | + | 3.90900i | −0.0546001 | + | 0.203770i | ||||
\(369\) | −5.94967 | + | 10.3051i | −0.309727 | + | 0.536464i | ||||
\(370\) | −3.86146 | + | 6.36288i | −0.200748 | + | 0.330790i | ||||
\(371\) | −1.01880 | + | 0.376703i | −0.0528935 | + | 0.0195574i | ||||
\(372\) | 7.30401 | − | 7.30401i | 0.378695 | − | 0.378695i | ||||
\(373\) | −29.7901 | + | 7.98224i | −1.54247 | + | 0.413305i | −0.927064 | − | 0.374903i | \(-0.877676\pi\) |
−0.615410 | + | 0.788207i | \(0.711009\pi\) | |||||||
\(374\) | 1.96118 | + | 3.39686i | 0.101410 | + | 0.175648i | ||||
\(375\) | 3.59516 | − | 10.5865i | 0.185653 | − | 0.546687i | ||||
\(376\) | 5.32419 | + | 3.07393i | 0.274574 | + | 0.158526i | ||||
\(377\) | 10.4386 | + | 10.4386i | 0.537615 | + | 0.537615i | ||||
\(378\) | −2.63447 | + | 0.244018i | −0.135503 | + | 0.0125509i | ||||
\(379\) | − | 12.9203i | − | 0.663670i | −0.943337 | − | 0.331835i | \(-0.892332\pi\) | ||
0.943337 | − | 0.331835i | \(-0.107668\pi\) | |||||||
\(380\) | 1.90782 | + | 3.47785i | 0.0978690 | + | 0.178410i | ||||
\(381\) | 15.3637 | − | 8.87021i | 0.787104 | − | 0.454435i | ||||
\(382\) | −10.5053 | − | 2.81490i | −0.537500 | − | 0.144023i | ||||
\(383\) | −0.308002 | − | 1.14948i | −0.0157382 | − | 0.0587356i | 0.957610 | − | 0.288067i | \(-0.0930127\pi\) |
−0.973348 | + | 0.229332i | \(0.926346\pi\) | |||||||
\(384\) | 1.00000 | 0.0510310 | ||||||||
\(385\) | −0.736006 | − | 10.4222i | −0.0375103 | − | 0.531163i | ||||
\(386\) | −11.2012 | −0.570126 | ||||||||
\(387\) | 1.26767 | + | 4.73102i | 0.0644394 | + | 0.240491i | ||||
\(388\) | 9.92718 | + | 2.65998i | 0.503976 | + | 0.135040i | ||||
\(389\) | −8.25213 | + | 4.76437i | −0.418400 | + | 0.241563i | −0.694392 | − | 0.719597i | \(-0.744327\pi\) |
0.275993 | + | 0.961160i | \(0.410993\pi\) | |||||||
\(390\) | −8.23928 | − | 2.40191i | −0.417212 | − | 0.121626i | ||||
\(391\) | − | 8.98802i | − | 0.454544i | ||||||
\(392\) | −6.31368 | + | 3.02282i | −0.318889 | + | 0.152675i | ||||
\(393\) | 0.678310 | + | 0.678310i | 0.0342162 | + | 0.0342162i | ||||
\(394\) | 12.7098 | + | 7.33801i | 0.640311 | + | 0.369684i | ||||
\(395\) | −28.3710 | − | 0.620268i | −1.42750 | − | 0.0312091i | ||||
\(396\) | −0.883028 | − | 1.52945i | −0.0443738 | − | 0.0768578i | ||||
\(397\) | −27.5610 | + | 7.38494i | −1.38324 | + | 0.370639i | −0.872299 | − | 0.488974i | \(-0.837371\pi\) |
−0.510946 | + | 0.859613i | \(0.670705\pi\) | |||||||
\(398\) | −13.1260 | + | 13.1260i | −0.657949 | + | 0.657949i | ||||
\(399\) | −4.62632 | − | 0.791463i | −0.231606 | − | 0.0396227i | ||||
\(400\) | −2.30836 | − | 4.43525i | −0.115418 | − | 0.221763i | ||||
\(401\) | −19.6150 | + | 33.9741i | −0.979526 | + | 1.69659i | −0.315415 | + | 0.948954i | \(0.602144\pi\) |
−0.664111 | + | 0.747634i | \(0.731190\pi\) | |||||||
\(402\) | −1.97702 | + | 7.37834i | −0.0986049 | + | 0.367998i | ||||
\(403\) | −10.2610 | + | 38.2945i | −0.511135 | + | 1.90758i | ||||
\(404\) | −9.17333 | + | 15.8887i | −0.456390 | + | 0.790491i | ||||
\(405\) | 1.91159 | + | 1.16009i | 0.0949877 | + | 0.0576455i | ||||
\(406\) | −7.82873 | − | 6.50140i | −0.388533 | − | 0.322659i | ||||
\(407\) | 4.15670 | − | 4.15670i | 0.206040 | − | 0.206040i | ||||
\(408\) | −2.14529 | + | 0.574830i | −0.106208 | + | 0.0284583i | ||||
\(409\) | 4.32912 | + | 7.49826i | 0.214061 | + | 0.370765i | 0.952982 | − | 0.303028i | \(-0.0979974\pi\) |
−0.738920 | + | 0.673793i | \(0.764664\pi\) | |||||||
\(410\) | 19.2212 | − | 18.3988i | 0.949270 | − | 0.908651i | ||||
\(411\) | −9.65336 | − | 5.57337i | −0.476165 | − | 0.274914i | ||||
\(412\) | −6.44872 | − | 6.44872i | −0.317706 | − | 0.317706i | ||||
\(413\) | 11.4656 | − | 24.9188i | 0.564187 | − | 1.22617i | ||||
\(414\) | 4.04689i | 0.198894i | ||||||||
\(415\) | −1.71896 | + | 5.89654i | −0.0843802 | + | 0.289450i | ||||
\(416\) | −3.32389 | + | 1.91905i | −0.162967 | + | 0.0940891i | ||||
\(417\) | −13.1072 | − | 3.51206i | −0.641861 | − | 0.171986i | ||||
\(418\) | −0.810871 | − | 3.02621i | −0.0396610 | − | 0.148017i | ||||
\(419\) | 4.29623 | 0.209884 | 0.104942 | − | 0.994478i | \(-0.466534\pi\) | ||||
0.104942 | + | 0.994478i | \(0.466534\pi\) | |||||||
\(420\) | 5.80816 | + | 1.12484i | 0.283409 | + | 0.0548866i | ||||
\(421\) | −18.8346 | −0.917945 | −0.458972 | − | 0.888451i | \(-0.651782\pi\) | ||||
−0.458972 | + | 0.888451i | \(0.651782\pi\) | |||||||
\(422\) | 0.117279 | + | 0.437693i | 0.00570907 | + | 0.0213066i | ||||
\(423\) | 5.93837 | + | 1.59118i | 0.288733 | + | 0.0773659i | ||||
\(424\) | 0.355547 | − | 0.205275i | 0.0172669 | − | 0.00996904i | ||||
\(425\) | 7.50163 | + | 8.18800i | 0.363883 | + | 0.397176i | ||||
\(426\) | 10.7193i | 0.519351i | ||||||||
\(427\) | 1.65662 | + | 17.8852i | 0.0801693 | + | 0.865525i | ||||
\(428\) | 10.4332 | + | 10.4332i | 0.504305 | + | 0.504305i | ||||
\(429\) | 5.87018 | + | 3.38915i | 0.283415 | + | 0.163630i | ||||
\(430\) | 0.239385 | − | 10.9494i | 0.0115442 | − | 0.528029i | ||||
\(431\) | −3.46231 | − | 5.99690i | −0.166774 | − | 0.288860i | 0.770510 | − | 0.637428i | \(-0.220002\pi\) |
−0.937284 | + | 0.348567i | \(0.886668\pi\) | |||||||
\(432\) | 0.965926 | − | 0.258819i | 0.0464731 | − | 0.0124524i | ||||
\(433\) | 11.5154 | − | 11.5154i | 0.553393 | − | 0.553393i | −0.374025 | − | 0.927419i | \(-0.622023\pi\) |
0.927419 | + | 0.374025i | \(0.122023\pi\) | |||||||
\(434\) | 4.60846 | − | 26.9377i | 0.221213 | − | 1.29305i | ||||
\(435\) | 2.04387 | + | 8.35416i | 0.0979961 | + | 0.400551i | ||||
\(436\) | −10.0744 | + | 17.4494i | −0.482477 | + | 0.835675i | ||||
\(437\) | −1.85810 | + | 6.93451i | −0.0888848 | + | 0.331723i | ||||
\(438\) | 2.75198 | − | 10.2705i | 0.131495 | − | 0.490745i | ||||
\(439\) | 9.11194 | − | 15.7823i | 0.434889 | − | 0.753250i | −0.562397 | − | 0.826867i | \(-0.690121\pi\) |
0.997287 | + | 0.0736169i | \(0.0234542\pi\) | |||||||
\(440\) | 0.938463 | + | 3.83589i | 0.0447395 | + | 0.182869i | ||||
\(441\) | −5.31618 | + | 4.55392i | −0.253152 | + | 0.216853i | ||||
\(442\) | 6.02759 | − | 6.02759i | 0.286703 | − | 0.286703i | ||||
\(443\) | 31.7136 | − | 8.49765i | 1.50676 | − | 0.403735i | 0.591403 | − | 0.806376i | \(-0.298574\pi\) |
0.915358 | + | 0.402641i | \(0.131908\pi\) | |||||||
\(444\) | 1.66429 | + | 2.88263i | 0.0789837 | + | 0.136804i | ||||
\(445\) | −0.0545569 | + | 2.49543i | −0.00258625 | + | 0.118295i | ||||
\(446\) | −5.72275 | − | 3.30403i | −0.270980 | − | 0.156450i | ||||
\(447\) | 7.14079 | + | 7.14079i | 0.337748 | + | 0.337748i | ||||
\(448\) | 2.15951 | − | 1.52856i | 0.102027 | − | 0.0722178i | ||||
\(449\) | − | 8.14032i | − | 0.384165i | −0.981379 | − | 0.192083i | \(-0.938476\pi\) | ||
0.981379 | − | 0.192083i | \(-0.0615242\pi\) | |||||||
\(450\) | −3.37764 | − | 3.68668i | −0.159223 | − | 0.173792i | ||||
\(451\) | −18.1994 | + | 10.5075i | −0.856978 | + | 0.494777i | ||||
\(452\) | 8.94306 | + | 2.39629i | 0.420646 | + | 0.112712i | ||||
\(453\) | 3.70368 | + | 13.8223i | 0.174014 | + | 0.649430i | ||||
\(454\) | 16.6075 | 0.779430 | ||||||||
\(455\) | −21.4643 | + | 7.40730i | −1.00626 | + | 0.347260i | ||||
\(456\) | 1.77399 | 0.0830746 | ||||||||
\(457\) | 1.18177 | + | 4.41041i | 0.0552806 | + | 0.206310i | 0.988042 | − | 0.154184i | \(-0.0492748\pi\) |
−0.932762 | + | 0.360494i | \(0.882608\pi\) | |||||||
\(458\) | 13.0801 | + | 3.50480i | 0.611192 | + | 0.163768i | ||||
\(459\) | −1.92342 | + | 1.11049i | −0.0897774 | + | 0.0518330i | ||||
\(460\) | 2.53258 | − | 8.68750i | 0.118082 | − | 0.405057i | ||||
\(461\) | − | 7.54894i | − | 0.351589i | −0.984427 | − | 0.175795i | \(-0.943751\pi\) | ||
0.984427 | − | 0.175795i | \(-0.0562495\pi\) | |||||||
\(462\) | −4.24477 | − | 1.95310i | −0.197485 | − | 0.0908665i | ||||
\(463\) | −8.87647 | − | 8.87647i | −0.412525 | − | 0.412525i | 0.470092 | − | 0.882617i | \(-0.344221\pi\) |
−0.882617 | + | 0.470092i | \(0.844221\pi\) | |||||||
\(464\) | 3.33098 | + | 1.92314i | 0.154637 | + | 0.0892796i | ||||
\(465\) | −16.6853 | + | 15.9714i | −0.773764 | + | 0.740654i | ||||
\(466\) | 5.78914 | + | 10.0271i | 0.268177 | + | 0.464495i | ||||
\(467\) | 11.1162 | − | 2.97858i | 0.514397 | − | 0.137832i | 0.00772331 | − | 0.999970i | \(-0.497542\pi\) |
0.506674 | + | 0.862138i | \(0.330875\pi\) | |||||||
\(468\) | −2.71395 | + | 2.71395i | −0.125452 | + | 0.125452i | ||||
\(469\) | 7.00886 | + | 18.9556i | 0.323639 | + | 0.875290i | ||||
\(470\) | −11.7522 | − | 7.13208i | −0.542088 | − | 0.328979i | ||||
\(471\) | −4.79169 | + | 8.29945i | −0.220789 | + | 0.382418i | ||||
\(472\) | −2.68333 | + | 10.0143i | −0.123510 | + | 0.460946i | ||||
\(473\) | −2.23878 | + | 8.35525i | −0.102939 | + | 0.384175i | ||||
\(474\) | −6.34546 | + | 10.9907i | −0.291457 | + | 0.504817i | ||||
\(475\) | −4.09501 | − | 7.86808i | −0.187892 | − | 0.361012i | ||||
\(476\) | −3.75412 | + | 4.52057i | −0.172070 | + | 0.207200i | ||||
\(477\) | 0.290303 | − | 0.290303i | 0.0132921 | − | 0.0132921i | ||||
\(478\) | −16.4462 | + | 4.40676i | −0.752233 | + | 0.201560i | ||||
\(479\) | 6.17379 | + | 10.6933i | 0.282088 | + | 0.488590i | 0.971899 | − | 0.235399i | \(-0.0756398\pi\) |
−0.689811 | + | 0.723989i | \(0.742306\pi\) | |||||||
\(480\) | −2.23553 | − | 0.0488750i | −0.102038 | − | 0.00223083i | ||||
\(481\) | −11.0638 | − | 6.38770i | −0.504467 | − | 0.291254i | ||||
\(482\) | −13.3796 | − | 13.3796i | −0.609424 | − | 0.609424i | ||||
\(483\) | 6.18593 | + | 8.73931i | 0.281469 | + | 0.397652i | ||||
\(484\) | 7.88104i | 0.358229i | ||||||||
\(485\) | −22.0625 | − | 6.43167i | −1.00181 | − | 0.292047i | ||||
\(486\) | 0.866025 | − | 0.500000i | 0.0392837 | − | 0.0226805i | ||||
\(487\) | 15.0556 | + | 4.03414i | 0.682235 | + | 0.182804i | 0.583260 | − | 0.812286i | \(-0.301777\pi\) |
0.0989752 | + | 0.995090i | \(0.468444\pi\) | |||||||
\(488\) | −1.75710 | − | 6.55758i | −0.0795401 | − | 0.296848i | ||||
\(489\) | −11.8437 | −0.535589 | ||||||||
\(490\) | 14.2622 | − | 6.44904i | 0.644300 | − | 0.291338i | ||||
\(491\) | −2.67474 | −0.120709 | −0.0603547 | − | 0.998177i | \(-0.519223\pi\) | ||||
−0.0603547 | + | 0.998177i | \(0.519223\pi\) | |||||||
\(492\) | −3.07978 | − | 11.4939i | −0.138847 | − | 0.518184i | ||||
\(493\) | −8.25140 | − | 2.21096i | −0.371624 | − | 0.0995764i | ||||
\(494\) | −5.89654 | + | 3.40437i | −0.265298 | + | 0.153170i | ||||
\(495\) | 1.89929 | + | 3.46230i | 0.0853666 | + | 0.155619i | ||||
\(496\) | 10.3294i | 0.463805i | ||||||||
\(497\) | 16.3851 | + | 23.1484i | 0.734972 | + | 1.03835i | ||||
\(498\) | 1.94227 | + | 1.94227i | 0.0870350 | + | 0.0870350i | ||||
\(499\) | −15.7413 | − | 9.08825i | −0.704678 | − | 0.406846i | 0.104410 | − | 0.994534i | \(-0.466705\pi\) |
−0.809087 | + | 0.587688i | \(0.800038\pi\) | |||||||
\(500\) | 4.94365 | + | 10.0280i | 0.221087 | + | 0.448465i | ||||
\(501\) | 4.92063 | + | 8.52279i | 0.219838 | + | 0.380770i | ||||
\(502\) | 17.5342 | − | 4.69827i | 0.782588 | − | 0.209694i | ||||
\(503\) | −3.59630 | + | 3.59630i | −0.160351 | + | 0.160351i | −0.782722 | − | 0.622371i | \(-0.786169\pi\) |
0.622371 | + | 0.782722i | \(0.286169\pi\) | |||||||
\(504\) | 1.69031 | − | 2.03540i | 0.0752923 | − | 0.0906640i | ||||
\(505\) | 21.2838 | − | 35.0713i | 0.947119 | − | 1.56065i | ||||
\(506\) | −3.57352 | + | 6.18952i | −0.158862 | + | 0.275158i | ||||
\(507\) | 0.448015 | − | 1.67202i | 0.0198971 | − | 0.0742568i | ||||
\(508\) | −4.59156 | + | 17.1359i | −0.203718 | + | 0.760284i | ||||
\(509\) | 2.40629 | − | 4.16782i | 0.106657 | − | 0.184735i | −0.807757 | − | 0.589516i | \(-0.799319\pi\) |
0.914414 | + | 0.404780i | \(0.132652\pi\) | |||||||
\(510\) | 4.82397 | − | 1.18020i | 0.213609 | − | 0.0522601i | ||||
\(511\) | −9.75621 | − | 26.3859i | −0.431589 | − | 1.16724i | ||||
\(512\) | −0.707107 | + | 0.707107i | −0.0312500 | + | 0.0312500i | ||||
\(513\) | 1.71354 | − | 0.459142i | 0.0756547 | − | 0.0202716i | ||||
\(514\) | 12.0351 | + | 20.8454i | 0.530846 | + | 0.919452i | ||||
\(515\) | 14.1011 | + | 14.7315i | 0.621371 | + | 0.649148i | ||||
\(516\) | −4.24172 | − | 2.44896i | −0.186731 | − | 0.107809i | ||||
\(517\) | 7.67738 | + | 7.67738i | 0.337651 | + | 0.337651i | ||||
\(518\) | 8.00034 | + | 3.68111i | 0.351515 | + | 0.161739i | ||||
\(519\) | − | 8.66613i | − | 0.380401i | ||||||
\(520\) | 7.52446 | − | 4.12764i | 0.329970 | − | 0.181009i | ||||
\(521\) | 4.61481 | − | 2.66436i | 0.202178 | − | 0.116728i | −0.395493 | − | 0.918469i | \(-0.629426\pi\) |
0.597671 | + | 0.801741i | \(0.296093\pi\) | |||||||
\(522\) | 3.71522 | + | 0.995491i | 0.162611 | + | 0.0435714i | ||||
\(523\) | 1.58561 | + | 5.91757i | 0.0693338 | + | 0.258757i | 0.991889 | − | 0.127108i | \(-0.0405695\pi\) |
−0.922555 | + | 0.385866i | \(0.873903\pi\) | |||||||
\(524\) | −0.959275 | −0.0419061 | ||||||||
\(525\) | −12.9294 | − | 2.79849i | −0.564284 | − | 0.122136i | ||||
\(526\) | −14.0358 | −0.611991 | ||||||||
\(527\) | −5.93766 | − | 22.1596i | −0.258648 | − | 0.965289i | ||||
\(528\) | 1.70588 | + | 0.457089i | 0.0742389 | + | 0.0198923i | ||||
\(529\) | −5.73541 | + | 3.31134i | −0.249366 | + | 0.143971i | ||||
\(530\) | −0.804870 | + | 0.441522i | −0.0349613 | + | 0.0191785i | ||||
\(531\) | 10.3676i | 0.449915i | ||||||||
\(532\) | 3.83095 | − | 2.71165i | 0.166093 | − | 0.117565i | ||||
\(533\) | 32.2942 | + | 32.2942i | 1.39881 | + | 1.39881i | ||||
\(534\) | 0.966705 | + | 0.558127i | 0.0418334 | + | 0.0241525i | ||||
\(535\) | −22.8137 | − | 23.8336i | −0.986324 | − | 1.03042i | ||||
\(536\) | −3.81931 | − | 6.61524i | −0.164969 | − | 0.285735i | ||||
\(537\) | 12.8986 | − | 3.45617i | 0.556617 | − | 0.149145i | ||||
\(538\) | −18.7754 | + | 18.7754i | −0.809466 | + | 0.809466i | ||||
\(539\) | −12.1521 | + | 2.27065i | −0.523427 | + | 0.0978040i | ||||
\(540\) | −2.17201 | + | 0.531389i | −0.0934684 | + | 0.0228673i | ||||
\(541\) | 6.81239 | − | 11.7994i | 0.292887 | − | 0.507296i | −0.681604 | − | 0.731721i | \(-0.738717\pi\) |
0.974491 | + | 0.224426i | \(0.0720506\pi\) | |||||||
\(542\) | 3.09564 | − | 11.5531i | 0.132969 | − | 0.496247i | ||||
\(543\) | −2.26188 | + | 8.44144i | −0.0970664 | + | 0.362257i | ||||
\(544\) | 1.11049 | − | 1.92342i | 0.0476117 | − | 0.0824658i | ||||
\(545\) | 23.3746 | − | 38.5164i | 1.00126 | − | 1.64986i | ||||
\(546\) | −1.71236 | + | 10.0092i | −0.0732823 | + | 0.428356i | ||||
\(547\) | −14.8290 | + | 14.8290i | −0.634042 | + | 0.634042i | −0.949079 | − | 0.315037i | \(-0.897983\pi\) |
0.315037 | + | 0.949079i | \(0.397983\pi\) | |||||||
\(548\) | 10.7669 | − | 2.88499i | 0.459940 | − | 0.123241i | ||||
\(549\) | −3.39445 | − | 5.87936i | −0.144872 | − | 0.250925i | ||||
\(550\) | −1.91049 | − | 8.62113i | −0.0814635 | − | 0.367606i | ||||
\(551\) | 5.90911 | + | 3.41163i | 0.251737 | + | 0.145340i | ||||
\(552\) | −2.86158 | − | 2.86158i | −0.121797 | − | 0.121797i | ||||
\(553\) | 3.09681 | + | 33.4339i | 0.131690 | + | 1.42175i | ||||
\(554\) | − | 2.36165i | − | 0.100337i | ||||||
\(555\) | −3.57969 | − | 6.52557i | −0.151949 | − | 0.276995i | ||||
\(556\) | 11.7516 | − | 6.78477i | 0.498378 | − | 0.287738i | ||||
\(557\) | −0.0387479 | − | 0.0103825i | −0.00164180 | − | 0.000439920i | 0.257998 | − | 0.966145i | \(-0.416937\pi\) |
−0.259640 | + | 0.965706i | \(0.583604\pi\) | |||||||
\(558\) | 2.67345 | + | 9.97746i | 0.113176 | + | 0.422379i | ||||
\(559\) | 18.7987 | 0.795099 | ||||||||
\(560\) | −4.90237 | + | 3.31161i | −0.207163 | + | 0.139941i | ||||
\(561\) | −3.92236 | −0.165602 | ||||||||
\(562\) | 2.85494 | + | 10.6548i | 0.120428 | + | 0.449445i | ||||
\(563\) | 13.4327 | + | 3.59929i | 0.566122 | + | 0.151692i | 0.530518 | − | 0.847674i | \(-0.321998\pi\) |
0.0356047 | + | 0.999366i | \(0.488664\pi\) | |||||||
\(564\) | −5.32419 | + | 3.07393i | −0.224189 | + | 0.129436i | ||||
\(565\) | −19.8754 | − | 5.79407i | −0.836164 | − | 0.243758i | ||||
\(566\) | − | 23.4108i | − | 0.984031i | ||||||
\(567\) | 1.10591 | − | 2.40353i | 0.0464439 | − | 0.100939i | ||||
\(568\) | −7.57968 | − | 7.57968i | −0.318036 | − | 0.318036i | ||||
\(569\) | 17.1817 | + | 9.91984i | 0.720293 | + | 0.415861i | 0.814860 | − | 0.579657i | \(-0.196814\pi\) |
−0.0945677 | + | 0.995518i | \(0.530147\pi\) | |||||||
\(570\) | −3.96581 | − | 0.0867037i | −0.166110 | − | 0.00363162i | ||||
\(571\) | 2.94454 | + | 5.10010i | 0.123225 | + | 0.213432i | 0.921038 | − | 0.389473i | \(-0.127343\pi\) |
−0.797813 | + | 0.602906i | \(0.794010\pi\) | |||||||
\(572\) | −6.54733 | + | 1.75435i | −0.273758 | + | 0.0733532i | ||||
\(573\) | 7.69044 | − | 7.69044i | 0.321273 | − | 0.321273i | ||||
\(574\) | −24.2199 | − | 20.1135i | −1.01092 | − | 0.839523i | ||||
\(575\) | −6.08626 | + | 19.2974i | −0.253815 | + | 0.804758i | ||||
\(576\) | −0.500000 | + | 0.866025i | −0.0208333 | + | 0.0360844i | ||||
\(577\) | 3.85984 | − | 14.4051i | 0.160687 | − | 0.599692i | −0.837864 | − | 0.545879i | \(-0.816196\pi\) |
0.998551 | − | 0.0538132i | \(-0.0171375\pi\) | |||||||
\(578\) | 3.12324 | − | 11.6561i | 0.129910 | − | 0.484830i | ||||
\(579\) | 5.60060 | − | 9.70052i | 0.232753 | − | 0.403140i | ||||
\(580\) | −7.35252 | − | 4.46205i | −0.305297 | − | 0.185276i | ||||
\(581\) | 7.16322 | + | 1.22547i | 0.297180 | + | 0.0508411i | ||||
\(582\) | −7.26720 | + | 7.26720i | −0.301235 | + | 0.301235i | ||||
\(583\) | 0.700349 | − | 0.187658i | 0.0290055 | − | 0.00777200i | ||||
\(584\) | 5.31641 | + | 9.20830i | 0.219995 | + | 0.381042i | ||||
\(585\) | 6.19976 | − | 5.93447i | 0.256329 | − | 0.245360i | ||||
\(586\) | 18.9635 | + | 10.9486i | 0.783376 | + | 0.452282i | ||||
\(587\) | −4.86057 | − | 4.86057i | −0.200617 | − | 0.200617i | 0.599647 | − | 0.800264i | \(-0.295308\pi\) |
−0.800264 | + | 0.599647i | \(0.795308\pi\) | |||||||
\(588\) | 0.539001 | − | 6.97922i | 0.0222280 | − | 0.287818i | ||||
\(589\) | 18.3243i | 0.755039i | ||||||||
\(590\) | 6.48812 | − | 22.2562i | 0.267112 | − | 0.916273i | ||||
\(591\) | −12.7098 | + | 7.33801i | −0.522812 | + | 0.301846i | ||||
\(592\) | −3.21516 | − | 0.861499i | −0.132142 | − | 0.0354074i | ||||
\(593\) | −5.48532 | − | 20.4715i | −0.225255 | − | 0.840664i | −0.982302 | − | 0.187304i | \(-0.940025\pi\) |
0.757047 | − | 0.653361i | \(-0.226641\pi\) | |||||||
\(594\) | 1.76606 | 0.0724622 | ||||||||
\(595\) | 8.61341 | − | 9.92240i | 0.353116 | − | 0.406779i | ||||
\(596\) | −10.0986 | −0.413655 | ||||||||
\(597\) | −4.80447 | − | 17.9305i | −0.196634 | − | 0.733847i | ||||
\(598\) | 15.0031 | + | 4.02007i | 0.613523 | + | 0.164393i | ||||
\(599\) | 10.0409 | − | 5.79712i | 0.410260 | − | 0.236864i | −0.280641 | − | 0.959813i | \(-0.590547\pi\) |
0.690902 | + | 0.722949i | \(0.257214\pi\) | |||||||
\(600\) | 4.99522 | + | 0.218523i | 0.203929 | + | 0.00892118i | ||||
\(601\) | 15.3561i | 0.626387i | 0.949689 | + | 0.313193i | \(0.101399\pi\) | ||||
−0.949689 | + | 0.313193i | \(0.898601\pi\) | |||||||
\(602\) | −12.9034 | + | 1.19518i | −0.525904 | + | 0.0487119i | ||||
\(603\) | −5.40132 | − | 5.40132i | −0.219959 | − | 0.219959i | ||||
\(604\) | −12.3928 | − | 7.15497i | −0.504254 | − | 0.291131i | ||||
\(605\) | 0.385186 | − | 17.6183i | 0.0156600 | − | 0.716287i | ||||
\(606\) | −9.17333 | − | 15.8887i | −0.372641 | − | 0.645433i | ||||
\(607\) | 21.7853 | − | 5.83734i | 0.884237 | − | 0.236931i | 0.212003 | − | 0.977269i | \(-0.432001\pi\) |
0.672234 | + | 0.740339i | \(0.265335\pi\) | |||||||
\(608\) | −1.25440 | + | 1.25440i | −0.0508726 | + | 0.0508726i | ||||
\(609\) | 9.54474 | − | 3.52918i | 0.386772 | − | 0.143009i | ||||
\(610\) | 3.60755 | + | 14.7456i | 0.146065 | + | 0.597031i | ||||
\(611\) | 11.7980 | − | 20.4348i | 0.477297 | − | 0.826703i | ||||
\(612\) | 0.574830 | − | 2.14529i | 0.0232361 | − | 0.0867183i | ||||
\(613\) | −1.23846 | + | 4.62200i | −0.0500209 | + | 0.186681i | −0.986416 | − | 0.164267i | \(-0.947474\pi\) |
0.936395 | + | 0.350948i | \(0.114141\pi\) | |||||||
\(614\) | 1.50012 | − | 2.59828i | 0.0605399 | − | 0.104858i | ||||
\(615\) | 6.32318 | + | 25.8455i | 0.254975 | + | 1.04219i | ||||
\(616\) | 4.38256 | − | 1.62046i | 0.176578 | − | 0.0652900i | ||||
\(617\) | 17.3498 | − | 17.3498i | 0.698475 | − | 0.698475i | −0.265606 | − | 0.964082i | \(-0.585572\pi\) |
0.964082 | + | 0.265606i | \(0.0855722\pi\) | |||||||
\(618\) | 8.80911 | − | 2.36040i | 0.354355 | − | 0.0949490i | ||||
\(619\) | 10.4801 | + | 18.1521i | 0.421232 | + | 0.729596i | 0.996060 | − | 0.0886786i | \(-0.0282644\pi\) |
−0.574828 | + | 0.818274i | \(0.694931\pi\) | |||||||
\(620\) | 0.504850 | − | 23.0918i | 0.0202753 | − | 0.927388i | ||||
\(621\) | −3.50471 | − | 2.02344i | −0.140639 | − | 0.0811980i | ||||
\(622\) | −10.6211 | − | 10.6211i | −0.425868 | − | 0.425868i | ||||
\(623\) | 2.94074 | − | 0.272387i | 0.117818 | − | 0.0109129i | ||||
\(624\) | − | 3.83810i | − | 0.153647i | ||||||
\(625\) | −10.5616 | − | 22.6595i | −0.422464 | − | 0.906380i | ||||
\(626\) | −11.5339 | + | 6.65911i | −0.460988 | + | 0.266152i | ||||
\(627\) | 3.02621 | + | 0.810871i | 0.120855 | + | 0.0323831i | ||||
\(628\) | −2.48036 | − | 9.25683i | −0.0989772 | − | 0.369388i | ||||
\(629\) | 7.39267 | 0.294765 | ||||||||
\(630\) | −3.87822 | + | 4.46760i | −0.154512 | + | 0.177993i | ||||
\(631\) | −48.7823 | −1.94199 | −0.970996 | − | 0.239095i | \(-0.923149\pi\) | ||||
−0.970996 | + | 0.239095i | \(0.923149\pi\) | |||||||
\(632\) | −3.28465 | − | 12.2585i | −0.130656 | − | 0.487616i | ||||
\(633\) | −0.437693 | − | 0.117279i | −0.0173967 | − | 0.00466144i | ||||
\(634\) | 12.0392 | − | 6.95084i | 0.478138 | − | 0.276053i | ||||
\(635\) | 11.1021 | − | 38.0836i | 0.440574 | − | 1.51130i | ||||
\(636\) | 0.410550i | 0.0162794i | ||||||||
\(637\) | 11.6019 | + | 24.2325i | 0.459683 | + | 0.960128i | ||||
\(638\) | 4.80320 | + | 4.80320i | 0.190160 | + | 0.190160i | ||||
\(639\) | −9.28317 | − | 5.35964i | −0.367237 | − | 0.212024i | ||||
\(640\) | 1.61532 | − | 1.54620i | 0.0638512 | − | 0.0611190i | ||||
\(641\) | −6.03196 | − | 10.4477i | −0.238248 | − | 0.412658i | 0.721964 | − | 0.691931i | \(-0.243240\pi\) |
−0.960212 | + | 0.279273i | \(0.909906\pi\) | |||||||
\(642\) | −14.2519 | + | 3.81880i | −0.562480 | + | 0.150716i | ||||
\(643\) | 15.5935 | − | 15.5935i | 0.614947 | − | 0.614947i | −0.329284 | − | 0.944231i | \(-0.606807\pi\) |
0.944231 | + | 0.329284i | \(0.106807\pi\) | |||||||
\(644\) | −10.5537 | − | 1.80551i | −0.415875 | − | 0.0711472i | ||||
\(645\) | 9.36281 | + | 5.68204i | 0.368660 | + | 0.223730i | ||||
\(646\) | 1.96999 | − | 3.41212i | 0.0775082 | − | 0.134248i | ||||
\(647\) | −1.69672 | + | 6.33226i | −0.0667051 | + | 0.248947i | −0.991225 | − | 0.132188i | \(-0.957800\pi\) |
0.924520 | + | 0.381135i | \(0.124467\pi\) | |||||||
\(648\) | −0.258819 | + | 0.965926i | −0.0101674 | + | 0.0379452i | ||||
\(649\) | −9.15487 | + | 15.8567i | −0.359360 | + | 0.622430i | ||||
\(650\) | −17.0229 | + | 8.85973i | −0.667694 | + | 0.347507i | ||||
\(651\) | 21.0245 | + | 17.4599i | 0.824016 | + | 0.684308i | ||||
\(652\) | 8.37474 | − | 8.37474i | 0.327980 | − | 0.327980i | ||||
\(653\) | 22.3037 | − | 5.97625i | 0.872811 | − | 0.233869i | 0.205508 | − | 0.978655i | \(-0.434115\pi\) |
0.667303 | + | 0.744787i | \(0.267449\pi\) | |||||||
\(654\) | −10.0744 | − | 17.4494i | −0.393941 | − | 0.682326i | ||||
\(655\) | 2.14449 | + | 0.0468845i | 0.0837922 | + | 0.00183193i | ||||
\(656\) | 10.3051 | + | 5.94967i | 0.402348 | + | 0.232296i | ||||
\(657\) | 7.51854 | + | 7.51854i | 0.293326 | + | 0.293326i | ||||
\(658\) | −6.79898 | + | 14.7765i | −0.265052 | + | 0.576050i | ||||
\(659\) | − | 8.89429i | − | 0.346472i | −0.984880 | − | 0.173236i | \(-0.944578\pi\) | ||
0.984880 | − | 0.173236i | \(-0.0554224\pi\) | |||||||
\(660\) | −3.79121 | − | 1.10521i | −0.147573 | − | 0.0430204i | ||||
\(661\) | 7.24046 | − | 4.18028i | 0.281621 | − | 0.162594i | −0.352536 | − | 0.935798i | \(-0.614681\pi\) |
0.634157 | + | 0.773204i | \(0.281347\pi\) | |||||||
\(662\) | −17.9977 | − | 4.82248i | −0.699501 | − | 0.187431i | ||||
\(663\) | 2.20625 | + | 8.23385i | 0.0856837 | + | 0.319776i | ||||
\(664\) | −2.74678 | −0.106596 | ||||||||
\(665\) | −8.69675 | + | 5.87476i | −0.337246 | + | 0.227813i | ||||
\(666\) | −3.32858 | −0.128980 | ||||||||
\(667\) | −4.02864 | − | 15.0351i | −0.155990 | − | 0.582161i | ||||
\(668\) | −9.50594 | − | 2.54711i | −0.367796 | − | 0.0985506i | ||||
\(669\) | 5.72275 | − | 3.30403i | 0.221254 | − | 0.127741i | ||||
\(670\) | 8.21488 | + | 14.9753i | 0.317369 | + | 0.578545i | ||||
\(671\) | − | 11.9896i | − | 0.462853i | ||||||
\(672\) | 0.244018 | + | 2.63447i | 0.00941321 | + | 0.101627i | ||||
\(673\) | −11.1305 | − | 11.1305i | −0.429048 | − | 0.429048i | 0.459256 | − | 0.888304i | \(-0.348116\pi\) |
−0.888304 | + | 0.459256i | \(0.848116\pi\) | |||||||
\(674\) | −11.8013 | − | 6.81346i | −0.454567 | − | 0.262444i | ||||
\(675\) | 4.88157 | − | 1.08178i | 0.187892 | − | 0.0416378i | ||||
\(676\) | 0.865499 | + | 1.49909i | 0.0332884 | + | 0.0576572i | ||||
\(677\) | 41.9335 | − | 11.2360i | 1.61163 | − | 0.431836i | 0.663106 | − | 0.748526i | \(-0.269238\pi\) |
0.948529 | + | 0.316690i | \(0.102571\pi\) | |||||||
\(678\) | −6.54677 | + | 6.54677i | −0.251427 | + | 0.251427i | ||||
\(679\) | −4.58524 | + | 26.8020i | −0.175965 | + | 1.02857i | ||||
\(680\) | −2.57653 | + | 4.24559i | −0.0988056 | + | 0.162811i | ||||
\(681\) | −8.30377 | + | 14.3825i | −0.318201 | + | 0.551140i | ||||
\(682\) | −4.72147 | + | 17.6208i | −0.180794 | + | 0.674734i | ||||
\(683\) | −4.62860 | + | 17.2742i | −0.177108 | + | 0.660977i | 0.819075 | + | 0.573687i | \(0.194487\pi\) |
−0.996183 | + | 0.0872904i | \(0.972179\pi\) | |||||||
\(684\) | −0.886994 | + | 1.53632i | −0.0339151 | + | 0.0587426i | ||||
\(685\) | −24.2108 | + | 5.92326i | −0.925048 | + | 0.226316i | ||||
\(686\) | −9.50420 | − | 15.8956i | −0.362872 | − | 0.606897i | ||||
\(687\) | −9.57528 | + | 9.57528i | −0.365320 | + | 0.365320i | ||||
\(688\) | 4.73102 | − | 1.26767i | 0.180368 | − | 0.0483296i | ||||
\(689\) | −0.787866 | − | 1.36462i | −0.0300153 | − | 0.0519880i | ||||
\(690\) | 6.25731 | + | 6.53703i | 0.238212 | + | 0.248860i | ||||
\(691\) | 30.5564 | + | 17.6417i | 1.16242 | + | 0.671123i | 0.951883 | − | 0.306463i | \(-0.0991456\pi\) |
0.210537 | + | 0.977586i | \(0.432479\pi\) | |||||||
\(692\) | 6.12788 | + | 6.12788i | 0.232947 | + | 0.232947i | ||||
\(693\) | 3.81382 | − | 2.69953i | 0.144875 | − | 0.102547i | ||||
\(694\) | 34.8774i | 1.32393i | ||||||||
\(695\) | −26.6026 | + | 14.5932i | −1.00910 | + | 0.553553i | ||||
\(696\) | −3.33098 | + | 1.92314i | −0.126260 | + | 0.0728964i | ||||
\(697\) | −25.5276 | − | 6.84009i | −0.966926 | − | 0.259087i | ||||
\(698\) | 0.387522 | + | 1.44625i | 0.0146679 | + | 0.0547414i | ||||
\(699\) | −11.5783 | −0.437930 | ||||||||
\(700\) | 11.1213 | − | 7.16361i | 0.420345 | − | 0.270759i | ||||
\(701\) | −14.9862 | −0.566020 | −0.283010 | − | 0.959117i | \(-0.591333\pi\) | ||||
−0.283010 | + | 0.959117i | \(0.591333\pi\) | |||||||
\(702\) | −0.993373 | − | 3.70732i | −0.0374924 | − | 0.139924i | ||||
\(703\) | −5.70366 | − | 1.52829i | −0.215117 | − | 0.0576405i | ||||
\(704\) | −1.52945 | + | 0.883028i | −0.0576433 | + | 0.0332804i | ||||
\(705\) | 12.0527 | − | 6.61164i | 0.453929 | − | 0.249009i | ||||
\(706\) | 5.96674i | 0.224561i | ||||||||
\(707\) | −44.0968 | − | 20.2898i | −1.65843 | − | 0.763075i | ||||
\(708\) | −7.33099 | − | 7.33099i | −0.275515 | − | 0.275515i | ||||
\(709\) | 7.19605 | + | 4.15464i | 0.270253 | + | 0.156031i | 0.629003 | − | 0.777403i | \(-0.283463\pi\) |
−0.358750 | + | 0.933434i | \(0.616797\pi\) | |||||||
\(710\) | 16.5742 | + | 17.3151i | 0.622017 | + | 0.649823i | ||||
\(711\) | −6.34546 | − | 10.9907i | −0.237973 | − | 0.412182i | ||||
\(712\) | −1.07822 | + | 0.288908i | −0.0404080 | + | 0.0108273i | ||||
\(713\) | 29.5585 | − | 29.5585i | 1.10697 | − | 1.10697i | ||||
\(714\) | −2.03786 | − | 5.51145i | −0.0762652 | − | 0.206261i | ||||
\(715\) | 14.7225 | − | 3.60191i | 0.550591 | − | 0.134704i | ||||
\(716\) | −6.67682 | + | 11.5646i | −0.249524 | + | 0.432189i | ||||
\(717\) | 4.40676 | − | 16.4462i | 0.164573 | − | 0.614196i | ||||
\(718\) | 4.48256 | − | 16.7291i | 0.167288 | − | 0.624326i | ||||
\(719\) | 7.07678 | − | 12.2574i | 0.263920 | − | 0.457122i | −0.703360 | − | 0.710833i | \(-0.748318\pi\) |
0.967280 | + | 0.253711i | \(0.0816513\pi\) | |||||||
\(720\) | 1.16009 | − | 1.91159i | 0.0432341 | − | 0.0712408i | ||||
\(721\) | 15.4154 | − | 18.5626i | 0.574099 | − | 0.691307i | ||||
\(722\) | 11.2097 | − | 11.2097i | 0.417183 | − | 0.417183i | ||||
\(723\) | 18.2769 | − | 4.89728i | 0.679725 | − | 0.182132i | ||||
\(724\) | −4.36961 | − | 7.56839i | −0.162395 | − | 0.281277i | ||||
\(725\) | 16.2187 | + | 10.3344i | 0.602348 | + | 0.383810i | ||||
\(726\) | −6.82518 | − | 3.94052i | −0.253306 | − | 0.146246i | ||||
\(727\) | 19.9622 | + | 19.9622i | 0.740357 | + | 0.740357i | 0.972647 | − | 0.232290i | \(-0.0746217\pi\) |
−0.232290 | + | 0.972647i | \(0.574622\pi\) | |||||||
\(728\) | −5.86678 | − | 8.28842i | −0.217437 | − | 0.307189i | ||||
\(729\) | 1.00000i | 0.0370370i | ||||||||
\(730\) | −11.4350 | − | 20.8453i | −0.423227 | − | 0.771519i | ||||
\(731\) | −9.42073 | + | 5.43906i | −0.348438 | + | 0.201171i | ||||
\(732\) | 6.55758 | + | 1.75710i | 0.242375 | + | 0.0649442i | ||||
\(733\) | −12.0119 | − | 44.8290i | −0.443670 | − | 1.65580i | −0.719425 | − | 0.694570i | \(-0.755595\pi\) |
0.275755 | − | 0.961228i | \(-0.411072\pi\) | |||||||
\(734\) | −5.48491 | −0.202452 | ||||||||
\(735\) | −1.54606 | + | 15.5759i | −0.0570274 | + | 0.574527i | ||||
\(736\) | 4.04689 | 0.149170 | ||||||||
\(737\) | −3.49153 | − | 13.0306i | −0.128612 | − | 0.479987i | ||||
\(738\) | 11.4939 | + | 3.07978i | 0.423095 | + | 0.113368i | ||||
\(739\) | 15.1424 | − | 8.74246i | 0.557022 | − | 0.321597i | −0.194927 | − | 0.980818i | \(-0.562447\pi\) |
0.751949 | + | 0.659221i | \(0.229114\pi\) | |||||||
\(740\) | 7.14549 | + | 2.08305i | 0.262673 | + | 0.0765745i | ||||
\(741\) | − | 6.80874i | − | 0.250125i | ||||||
\(742\) | 0.627552 | + | 0.886588i | 0.0230382 | + | 0.0325477i | ||||
\(743\) | −12.2427 | − | 12.2427i | −0.449143 | − | 0.449143i | 0.445927 | − | 0.895069i | \(-0.352874\pi\) |
−0.895069 | + | 0.445927i | \(0.852874\pi\) | |||||||
\(744\) | −8.94554 | − | 5.16471i | −0.327960 | − | 0.189348i | ||||
\(745\) | 22.5758 | + | 0.493569i | 0.827112 | + | 0.0180830i | ||||
\(746\) | 15.4205 | + | 26.7091i | 0.564585 | + | 0.977889i | ||||
\(747\) | −2.65318 | + | 0.710918i | −0.0970749 | + | 0.0260111i | ||||
\(748\) | 2.77353 | − | 2.77353i | 0.101410 | − | 0.101410i | ||||
\(749\) | −24.9400 | + | 30.0317i | −0.911287 | + | 1.09734i | ||||
\(750\) | −11.1563 | − | 0.732658i | −0.407371 | − | 0.0267529i | ||||
\(751\) | 12.4732 | − | 21.6042i | 0.455154 | − | 0.788350i | −0.543543 | − | 0.839381i | \(-0.682917\pi\) |
0.998697 | + | 0.0510312i | \(0.0162508\pi\) | |||||||
\(752\) | 1.59118 | − | 5.93837i | 0.0580244 | − | 0.216550i | ||||
\(753\) | −4.69827 | + | 17.5342i | −0.171214 | + | 0.638981i | ||||
\(754\) | 7.38120 | − | 12.7846i | 0.268808 | − | 0.465588i | ||||
\(755\) | 27.3547 | + | 16.6009i | 0.995541 | + | 0.604167i | ||||
\(756\) | 0.917556 | + | 2.48155i | 0.0333712 | + | 0.0902531i | ||||
\(757\) | −32.4637 | + | 32.4637i | −1.17991 | + | 1.17991i | −0.200149 | + | 0.979765i | \(0.564143\pi\) |
−0.979765 | + | 0.200149i | \(0.935857\pi\) | |||||||
\(758\) | −12.4800 | + | 3.34401i | −0.453295 | + | 0.121460i | ||||
\(759\) | −3.57352 | − | 6.18952i | −0.129711 | − | 0.224665i | ||||
\(760\) | 2.86556 | − | 2.74294i | 0.103945 | − | 0.0994970i | ||||
\(761\) | 28.5750 | + | 16.4978i | 1.03584 | + | 0.598045i | 0.918653 | − | 0.395065i | \(-0.129278\pi\) |
0.117191 | + | 0.993109i | \(0.462611\pi\) | |||||||
\(762\) | −12.5444 | − | 12.5444i | −0.454435 | − | 0.454435i | ||||
\(763\) | −48.4284 | − | 22.2828i | −1.75322 | − | 0.806693i | ||||
\(764\) | 10.8759i | 0.393477i | ||||||||
\(765\) | −1.38990 | + | 4.76778i | −0.0502520 | + | 0.172379i | ||||
\(766\) | −1.03059 | + | 0.595014i | −0.0372369 | + | 0.0214987i | ||||
\(767\) | 38.4359 | + | 10.2989i | 1.38784 | + | 0.371871i | ||||
\(768\) | −0.258819 | − | 0.965926i | −0.00933933 | − | 0.0348548i | ||||
\(769\) | 10.0980 | 0.364144 | 0.182072 | − | 0.983285i | \(-0.441720\pi\) | ||||
0.182072 | + | 0.983285i | \(0.441720\pi\) | |||||||
\(770\) | −9.87656 | + | 3.40839i | −0.355926 | + | 0.122830i | ||||
\(771\) | −24.0702 | −0.866867 | ||||||||
\(772\) | 2.89908 | + | 10.8195i | 0.104340 | + | 0.389403i | ||||
\(773\) | −11.4236 | − | 3.06094i | −0.410878 | − | 0.110094i | 0.0474585 | − | 0.998873i | \(-0.484888\pi\) |
−0.458336 | + | 0.888779i | \(0.651554\pi\) | |||||||
\(774\) | 4.24172 | − | 2.44896i | 0.152465 | − | 0.0880259i | ||||
\(775\) | −2.25722 | + | 51.5978i | −0.0810817 | + | 1.85345i | ||||
\(776\) | − | 10.2774i | − | 0.368936i | ||||||
\(777\) | −7.18811 | + | 5.08794i | −0.257872 | + | 0.182529i | ||||
\(778\) | 6.73784 | + | 6.73784i | 0.241563 | + | 0.241563i | ||||
\(779\) | 18.2812 | + | 10.5546i | 0.654991 | + | 0.378159i | ||||
\(780\) | −0.187587 | + | 8.58020i | −0.00671669 | + | 0.307220i | ||||
\(781\) | −9.46543 | − | 16.3946i | −0.338700 | − | 0.586645i | ||||
\(782\) | −8.68176 | + | 2.32627i | −0.310459 | + | 0.0831873i | ||||
\(783\) | −2.71973 | + | 2.71973i | −0.0971953 | + | 0.0971953i | ||||
\(784\) | 4.55392 | + | 5.31618i | 0.162640 | + | 0.189864i | ||||
\(785\) | 5.09250 | + | 20.8152i | 0.181759 | + | 0.742926i | ||||
\(786\) | 0.479637 | − | 0.830756i | 0.0171081 | − | 0.0296321i | ||||
\(787\) | −2.27001 | + | 8.47179i | −0.0809171 | + | 0.301987i | −0.994510 | − | 0.104644i | \(-0.966630\pi\) |
0.913593 | + | 0.406631i | \(0.133296\pi\) | |||||||
\(788\) | 3.79843 | − | 14.1760i | 0.135314 | − | 0.504997i | ||||
\(789\) | 7.01791 | − | 12.1554i | 0.249844 | − | 0.432743i | ||||
\(790\) | 6.74381 | + | 27.5648i | 0.239934 | + | 0.980711i | ||||
\(791\) | −4.13068 | + | 24.1450i | −0.146870 | + | 0.858497i | ||||
\(792\) | −1.24879 | + | 1.24879i | −0.0443738 | + | 0.0443738i | ||||
\(793\) | −25.1686 | + | 6.74391i | −0.893764 | + | 0.239483i | ||||
\(794\) | 14.2666 | + | 24.7105i | 0.506303 | + | 0.876942i | ||||
\(795\) | 0.0200656 | − | 0.917799i | 0.000711655 | − | 0.0325510i | ||||
\(796\) | 16.0761 | + | 9.28152i | 0.569801 | + | 0.328975i | ||||
\(797\) | −26.4972 | − | 26.4972i | −0.938580 | − | 0.938580i | 0.0596400 | − | 0.998220i | \(-0.481005\pi\) |
−0.998220 | + | 0.0596400i | \(0.981005\pi\) | |||||||
\(798\) | 0.432886 | + | 4.67353i | 0.0153240 | + | 0.165441i | ||||
\(799\) | 13.6542i | 0.483051i | ||||||||
\(800\) | −3.68668 | + | 3.37764i | −0.130344 | + | 0.119417i | ||||
\(801\) | −0.966705 | + | 0.558127i | −0.0341568 | + | 0.0197205i | ||||
\(802\) | 37.8932 | + | 10.1535i | 1.33806 | + | 0.358531i | ||||
\(803\) | 4.86015 | + | 18.1383i | 0.171511 | + | 0.640088i | ||||
\(804\) | 7.63862 | 0.269394 | ||||||||
\(805\) | 23.5050 | + | 4.55210i | 0.828442 | + | 0.160441i | ||||
\(806\) | 39.6453 | 1.39645 | ||||||||
\(807\) | −6.87229 | − | 25.6477i | −0.241916 | − | 0.902842i | ||||
\(808\) | 17.7215 | + | 4.74846i | 0.623441 | + | 0.167050i | ||||
\(809\) | −34.0232 | + | 19.6433i | −1.19619 | + | 0.690622i | −0.959704 | − | 0.281012i | \(-0.909330\pi\) |
−0.236489 | + | 0.971634i | \(0.575997\pi\) | |||||||
\(810\) | 0.625808 | − | 2.14671i | 0.0219887 | − | 0.0754277i | ||||
\(811\) | 9.61165i | 0.337511i | 0.985658 | + | 0.168755i | \(0.0539748\pi\) | ||||
−0.985658 | + | 0.168755i | \(0.946025\pi\) | |||||||
\(812\) | −4.25364 | + | 9.24465i | −0.149274 | + | 0.324424i | ||||
\(813\) | 8.45744 | + | 8.45744i | 0.296615 | + | 0.296615i | ||||
\(814\) | −5.09089 | − | 2.93923i | −0.178436 | − | 0.103020i | ||||
\(815\) | −19.1313 | + | 18.3127i | −0.670141 | + | 0.641466i | ||||
\(816\) | 1.11049 | + | 1.92342i | 0.0388748 | + | 0.0673331i | ||||
\(817\) | 8.39277 | − | 2.24884i | 0.293626 | − | 0.0786769i | ||||
\(818\) | 6.12230 | − | 6.12230i | 0.214061 | − | 0.214061i | ||||
\(819\) | −7.81207 | − | 6.48757i | −0.272976 | − | 0.226694i | ||||
\(820\) | −22.7467 | − | 13.8043i | −0.794348 | − | 0.482069i | ||||
\(821\) | −25.9357 | + | 44.9219i | −0.905162 | + | 1.56779i | −0.0844618 | + | 0.996427i | \(0.526917\pi\) |
−0.820700 | + | 0.571359i | \(0.806416\pi\) | |||||||
\(822\) | −2.88499 | + | 10.7669i | −0.100626 | + | 0.375540i | ||||
\(823\) | 2.69263 | − | 10.0490i | 0.0938592 | − | 0.350287i | −0.902985 | − | 0.429672i | \(-0.858629\pi\) |
0.996844 | + | 0.0793852i | \(0.0252957\pi\) | |||||||
\(824\) | −4.55993 | + | 7.89804i | −0.158853 | + | 0.275141i | ||||
\(825\) | 8.42136 | + | 2.65604i | 0.293194 | + | 0.0924713i | ||||
\(826\) | −27.0372 | − | 4.62548i | −0.940746 | − | 0.160941i | ||||
\(827\) | 7.55951 | − | 7.55951i | 0.262870 | − | 0.262870i | −0.563349 | − | 0.826219i | \(-0.690487\pi\) |
0.826219 | + | 0.563349i | \(0.190487\pi\) | |||||||
\(828\) | 3.90900 | − | 1.04741i | 0.135847 | − | 0.0364001i | ||||
\(829\) | 16.1525 | + | 27.9770i | 0.561001 | + | 0.971682i | 0.997409 | + | 0.0719331i | \(0.0229168\pi\) |
−0.436409 | + | 0.899748i | \(0.643750\pi\) | |||||||
\(830\) | 6.14051 | + | 0.134249i | 0.213140 | + | 0.00465984i | ||||
\(831\) | 2.04525 | + | 1.18083i | 0.0709490 | + | 0.0409624i | ||||
\(832\) | 2.71395 | + | 2.71395i | 0.0940891 | + | 0.0940891i | ||||
\(833\) | −12.8254 | − | 8.78704i | −0.444374 | − | 0.304453i | ||||
\(834\) | 13.5695i | 0.469875i | ||||||||
\(835\) | 21.1264 | + | 6.15875i | 0.731107 | + | 0.213132i | ||||
\(836\) | −2.71323 | + | 1.56648i | −0.0938389 | + | 0.0541779i | ||||
\(837\) | −9.97746 | − | 2.67345i | −0.344871 | − | 0.0924080i | ||||
\(838\) | −1.11195 | − | 4.14984i | −0.0384115 | − | 0.143354i | ||||
\(839\) | −24.7218 | −0.853490 | −0.426745 | − | 0.904372i | \(-0.640340\pi\) | ||||
−0.426745 | + | 0.904372i | \(0.640340\pi\) | |||||||
\(840\) | −0.416751 | − | 5.90138i | −0.0143793 | − | 0.203617i | ||||
\(841\) | 14.2061 | 0.489866 | ||||||||
\(842\) | 4.87477 | + | 18.1929i | 0.167996 | + | 0.626968i | ||||
\(843\) | −10.6548 | − | 2.85494i | −0.366970 | − | 0.0983294i | ||||
\(844\) | 0.392425 | − | 0.226566i | 0.0135078 | − | 0.00779874i | ||||
\(845\) | −1.86158 | − | 3.39356i | −0.0640404 | − | 0.116742i | ||||
\(846\) | − | 6.14785i | − | 0.211367i | ||||||
\(847\) | −20.7624 | + | 1.92312i | −0.713405 | + | 0.0660791i | ||||
\(848\) | −0.290303 | − | 0.290303i | −0.00996904 | − | 0.00996904i | ||||
\(849\) | 20.2744 | + | 11.7054i | 0.695815 | + | 0.401729i | ||||
\(850\) | 5.96743 | − | 9.36523i | 0.204681 | − | 0.321225i | ||||
\(851\) | 6.73519 | + | 11.6657i | 0.230879 | + | 0.399895i | ||||
\(852\) | 10.3540 | − | 2.77435i | 0.354723 | − | 0.0950478i | ||||
\(853\) | −28.0435 | + | 28.0435i | −0.960191 | + | 0.960191i | −0.999237 | − | 0.0390463i | \(-0.987568\pi\) |
0.0390463 | + | 0.999237i | \(0.487568\pi\) | |||||||
\(854\) | 16.8470 | − | 6.22920i | 0.576493 | − | 0.213159i | ||||
\(855\) | 2.05799 | − | 3.39114i | 0.0703819 | − | 0.115975i | ||||
\(856\) | 7.37735 | − | 12.7779i | 0.252153 | − | 0.436741i | ||||
\(857\) | −12.3144 | + | 45.9579i | −0.420652 | + | 1.56989i | 0.352587 | + | 0.935779i | \(0.385302\pi\) |
−0.773239 | + | 0.634115i | \(0.781365\pi\) | |||||||
\(858\) | 1.75435 | − | 6.54733i | 0.0598926 | − | 0.223522i | ||||
\(859\) | 26.8560 | − | 46.5160i | 0.916315 | − | 1.58710i | 0.111351 | − | 0.993781i | \(-0.464482\pi\) |
0.804964 | − | 0.593324i | \(-0.202185\pi\) | |||||||
\(860\) | −10.6383 | + | 2.60270i | −0.362763 | + | 0.0887512i | ||||
\(861\) | 29.5288 | − | 10.9183i | 1.00634 | − | 0.372095i | ||||
\(862\) | −4.89645 | + | 4.89645i | −0.166774 | + | 0.166774i | ||||
\(863\) | −38.6139 | + | 10.3466i | −1.31443 | + | 0.352201i | −0.846890 | − | 0.531768i | \(-0.821528\pi\) |
−0.467544 | + | 0.883970i | \(0.654861\pi\) | |||||||
\(864\) | −0.500000 | − | 0.866025i | −0.0170103 | − | 0.0294628i | ||||
\(865\) | −13.3996 | − | 13.9986i | −0.455599 | − | 0.475966i | ||||
\(866\) | −14.1034 | − | 8.14260i | −0.479253 | − | 0.276697i | ||||
\(867\) | 8.53286 | + | 8.53286i | 0.289791 | + | 0.289791i | ||||
\(868\) | −27.2126 | + | 2.52057i | −0.923656 | + | 0.0855536i | ||||
\(869\) | − | 22.4129i | − | 0.760305i | ||||||
\(870\) | 7.54050 | − | 4.13644i | 0.255647 | − | 0.140239i | ||||
\(871\) | −25.3900 | + | 14.6589i | −0.860306 | + | 0.496698i | ||||
\(872\) | 19.4623 | + | 5.21491i | 0.659076 | + | 0.176599i | ||||
\(873\) | −2.65998 | − | 9.92718i | −0.0900267 | − | 0.335984i | ||||
\(874\) | 7.17914 | 0.242838 | ||||||||
\(875\) | −25.2121 | + | 15.4709i | −0.852325 | + | 0.523013i | ||||
\(876\) | −10.6328 | −0.359250 | ||||||||
\(877\) | −1.96884 | − | 7.34780i | −0.0664829 | − | 0.248118i | 0.924685 | − | 0.380734i | \(-0.124329\pi\) |
−0.991167 | + | 0.132617i | \(0.957662\pi\) | |||||||
\(878\) | −17.6029 | − | 4.71669i | −0.594070 | − | 0.159180i | ||||
\(879\) | −18.9635 | + | 10.9486i | −0.639624 | + | 0.369287i | ||||
\(880\) | 3.46230 | − | 1.89929i | 0.116714 | − | 0.0640250i | ||||
\(881\) | − | 37.1659i | − | 1.25215i | −0.779763 | − | 0.626075i | \(-0.784660\pi\) | ||
0.779763 | − | 0.626075i | \(-0.215340\pi\) | |||||||
\(882\) | 5.77468 | + | 3.95640i | 0.194444 | + | 0.133219i | ||||
\(883\) | 25.7803 | + | 25.7803i | 0.867577 | + | 0.867577i | 0.992204 | − | 0.124627i | \(-0.0397734\pi\) |
−0.124627 | + | 0.992204i | \(0.539773\pi\) | |||||||
\(884\) | −7.38226 | − | 4.26215i | −0.248292 | − | 0.143352i | ||||
\(885\) | 16.0304 | + | 16.7470i | 0.538855 | + | 0.562943i | ||||
\(886\) | −16.4162 | − | 28.4337i | −0.551513 | − | 0.955248i | ||||
\(887\) | −14.4006 | + | 3.85864i | −0.483526 | + | 0.129560i | −0.492344 | − | 0.870401i | \(-0.663860\pi\) |
0.00881809 | + | 0.999961i | \(0.497193\pi\) | |||||||
\(888\) | 2.35366 | − | 2.35366i | 0.0789837 | − | 0.0789837i | ||||
\(889\) | −46.2646 | − | 7.91487i | −1.55167 | − | 0.265456i | ||||
\(890\) | 2.42452 | − | 0.593166i | 0.0812700 | − | 0.0198830i | ||||
\(891\) | −0.883028 | + | 1.52945i | −0.0295826 | + | 0.0512385i | ||||
\(892\) | −1.71029 | + | 6.38289i | −0.0572648 | + | 0.213715i | ||||
\(893\) | 2.82274 | − | 10.5346i | 0.0944593 | − | 0.352527i | ||||
\(894\) | 5.04930 | − | 8.74565i | 0.168874 | − | 0.292498i | ||||
\(895\) | 15.4915 | − | 25.5267i | 0.517823 | − | 0.853263i | ||||
\(896\) | −2.03540 | − | 1.69031i | −0.0679980 | − | 0.0564692i | ||||
\(897\) | −10.9830 | + | 10.9830i | −0.366713 | + | 0.366713i | ||||
\(898\) | −7.86295 | + | 2.10687i | −0.262390 | + | 0.0703072i | ||||
\(899\) | −19.8649 | − | 34.4071i | −0.662533 | − | 1.14754i | ||||
\(900\) | −2.68686 | + | 4.21673i | −0.0895619 | + | 0.140558i | ||||
\(901\) | 0.789659 | + | 0.455910i | 0.0263074 | + | 0.0151886i | ||||
\(902\) | 14.8598 | + | 14.8598i | 0.494777 | + | 0.494777i | ||||
\(903\) | 5.41666 | − | 11.7723i | 0.180255 | − | 0.391757i | ||||
\(904\) | − | 9.25854i | − | 0.307934i | ||||||
\(905\) | 9.39851 | + | 17.1330i | 0.312417 | + | 0.569519i | ||||
\(906\) | 12.3928 | − | 7.15497i | 0.411722 | − | 0.237708i | ||||
\(907\) | −20.7799 | − | 5.56795i | −0.689984 | − | 0.184881i | −0.103244 | − | 0.994656i | \(-0.532922\pi\) |
−0.586740 | + | 0.809775i | \(0.699589\pi\) | |||||||
\(908\) | −4.29835 | − | 16.0416i | −0.142646 | − | 0.532361i | ||||
\(909\) | 18.3467 | 0.608520 | ||||||||
\(910\) | 12.7103 | + | 18.8158i | 0.421342 | + | 0.623737i | ||||
\(911\) | 23.6120 | 0.782301 | 0.391151 | − | 0.920327i | \(-0.372077\pi\) | ||||
0.391151 | + | 0.920327i | \(0.372077\pi\) | |||||||
\(912\) | −0.459142 | − | 1.71354i | −0.0152037 | − | 0.0567410i | ||||
\(913\) | −4.68567 | − | 1.25552i | −0.155073 | − | 0.0415517i | ||||
\(914\) | 3.95426 | − | 2.28300i | 0.130795 | − | 0.0755148i | ||||
\(915\) | −14.5738 | − | 4.24855i | −0.481795 | − | 0.140453i | ||||
\(916\) | − | 13.5415i | − | 0.447423i | ||||||
\(917\) | −0.234081 | − | 2.52719i | −0.00773002 | − | 0.0834550i | ||||
\(918\) | 1.57046 | + | 1.57046i | 0.0518330 | + | 0.0518330i | ||||
\(919\) | −38.2901 | − | 22.1068i | −1.26307 | − | 0.729236i | −0.289406 | − | 0.957207i | \(-0.593458\pi\) |
−0.973668 | + | 0.227971i | \(0.926791\pi\) | |||||||
\(920\) | −9.04696 | − | 0.197792i | −0.298269 | − | 0.00652100i | ||||
\(921\) | 1.50012 | + | 2.59828i | 0.0494306 | + | 0.0856163i | ||||
\(922\) | −7.29172 | + | 1.95381i | −0.240140 | + | 0.0643453i | ||||
\(923\) | −29.0915 | + | 29.0915i | −0.957560 | + | 0.957560i | ||||
\(924\) | −0.787924 | + | 4.60563i | −0.0259208 | + | 0.151514i | ||||
\(925\) | −15.8722 | − | 5.00597i | −0.521874 | − | 0.164595i | ||||
\(926\) | −6.27661 | + | 10.8714i | −0.206262 | + | 0.357257i | ||||
\(927\) | −2.36040 | + | 8.80911i | −0.0775255 | + | 0.289329i | ||||
\(928\) | 0.995491 | − | 3.71522i | 0.0326786 | − | 0.121958i | ||||
\(929\) | −0.388224 | + | 0.672424i | −0.0127372 | + | 0.0220615i | −0.872324 | − | 0.488929i | \(-0.837388\pi\) |
0.859587 | + | 0.510990i | \(0.170721\pi\) | |||||||
\(930\) | 19.7456 | + | 11.9831i | 0.647485 | + | 0.392941i | ||||
\(931\) | 8.07860 | + | 9.43085i | 0.264766 | + | 0.309084i | ||||
\(932\) | 8.18707 | − | 8.18707i | 0.268177 | − | 0.268177i | ||||
\(933\) | 14.5087 | − | 3.88760i | 0.474995 | − | 0.127274i | ||||
\(934\) | −5.75418 | − | 9.96652i | −0.188282 | − | 0.326115i | ||||
\(935\) | −6.33587 | + | 6.06476i | −0.207205 | + | 0.198339i | ||||
\(936\) | 3.32389 | + | 1.91905i | 0.108645 | + | 0.0627261i | ||||
\(937\) | 0.494892 | + | 0.494892i | 0.0161674 | + | 0.0161674i | 0.715144 | − | 0.698977i | \(-0.246361\pi\) |
−0.698977 | + | 0.715144i | \(0.746361\pi\) | |||||||
\(938\) | 16.4957 | − | 11.6761i | 0.538604 | − | 0.381239i | ||||
\(939\) | − | 13.3182i | − | 0.434624i | ||||||
\(940\) | −3.84738 | + | 13.1977i | −0.125488 | + | 0.430460i | ||||
\(941\) | 15.9777 | − | 9.22471i | 0.520857 | − | 0.300717i | −0.216428 | − | 0.976299i | \(-0.569441\pi\) |
0.737285 | + | 0.675582i | \(0.236107\pi\) | |||||||
\(942\) | 9.25683 | + | 2.48036i | 0.301604 | + | 0.0808145i | ||||
\(943\) | −12.4635 | − | 46.5145i | −0.405868 | − | 1.51472i | ||||
\(944\) | 10.3676 | 0.337436 | ||||||||
\(945\) | −1.92994 | − | 5.59243i | −0.0627810 | − | 0.181922i | ||||
\(946\) | 8.64999 | 0.281235 | ||||||||
\(947\) | −2.67536 | − | 9.98459i | −0.0869376 | − | 0.324456i | 0.908736 | − | 0.417370i | \(-0.137048\pi\) |
−0.995674 | + | 0.0929149i | \(0.970382\pi\) | |||||||
\(948\) | 12.2585 | + | 3.28465i | 0.398137 | + | 0.106680i | ||||
\(949\) | 35.3424 | − | 20.4049i | 1.14726 | − | 0.662372i | ||||
\(950\) | −6.54012 | + | 5.99189i | −0.212189 | + | 0.194403i | ||||
\(951\) | 13.9017i | 0.450793i | ||||||||
\(952\) | 5.33817 | + | 2.45620i | 0.173011 | + | 0.0796058i | ||||
\(953\) | 11.1833 | + | 11.1833i | 0.362263 | + | 0.362263i | 0.864645 | − | 0.502383i | \(-0.167543\pi\) |
−0.502383 | + | 0.864645i | \(0.667543\pi\) | |||||||
\(954\) | −0.355547 | − | 0.205275i | −0.0115113 | − | 0.00664603i | ||||
\(955\) | 0.531561 | − | 24.3135i | 0.0172009 | − | 0.786767i | ||||
\(956\) | 8.51320 | + | 14.7453i | 0.275336 | + | 0.476897i | ||||
\(957\) | −6.56129 | + | 1.75809i | −0.212096 | + | 0.0568311i | ||||
\(958\) | 8.73106 | − | 8.73106i | 0.282088 | − | 0.282088i | ||||
\(959\) | 10.2278 | + | 27.6612i | 0.330271 | + | 0.893227i | ||||
\(960\) | 0.531389 | + | 2.17201i | 0.0171505 | + | 0.0701013i | ||||
\(961\) | 37.8485 | − | 65.5555i | 1.22092 | − | 2.11469i | ||||
\(962\) | −3.30652 | + | 12.3401i | −0.106606 | + | 0.397861i | ||||
\(963\) | 3.81880 | − | 14.2519i | 0.123059 | − | 0.459263i | ||||
\(964\) | −9.46081 | + | 16.3866i | −0.304712 | + | 0.527777i | ||||
\(965\) | −5.95219 | − | 24.3291i | −0.191608 | − | 0.783181i | ||||
\(966\) | 6.84049 | − | 8.23705i | 0.220089 | − | 0.265023i | ||||
\(967\) | −3.47333 | + | 3.47333i | −0.111695 | + | 0.111695i | −0.760745 | − | 0.649051i | \(-0.775166\pi\) |
0.649051 | + | 0.760745i | \(0.275166\pi\) | |||||||
\(968\) | 7.61250 | − | 2.03976i | 0.244675 | − | 0.0655605i | ||||
\(969\) | 1.96999 | + | 3.41212i | 0.0632851 | + | 0.109613i | ||||
\(970\) | −0.502306 | + | 22.9754i | −0.0161281 | + | 0.737696i | ||||
\(971\) | 31.5326 | + | 18.2054i | 1.01193 | + | 0.584238i | 0.911756 | − | 0.410732i | \(-0.134727\pi\) |
0.100174 | + | 0.994970i | \(0.468060\pi\) | |||||||
\(972\) | −0.707107 | − | 0.707107i | −0.0226805 | − | 0.0226805i | ||||
\(973\) | 20.7419 | + | 29.3036i | 0.664955 | + | 0.939430i | ||||
\(974\) | − | 15.5867i | − | 0.499431i | ||||||
\(975\) | 0.838714 | − | 19.1722i | 0.0268603 | − | 0.614000i | ||||
\(976\) | −5.87936 | + | 3.39445i | −0.188194 | + | 0.108654i | ||||
\(977\) | 23.2951 | + | 6.24191i | 0.745278 | + | 0.199697i | 0.611422 | − | 0.791304i | \(-0.290598\pi\) |
0.133855 | + | 0.991001i | \(0.457264\pi\) | |||||||
\(978\) | 3.06537 | + | 11.4401i | 0.0980196 | + | 0.365814i | ||||
\(979\) | −1.97137 | −0.0630052 | ||||||||
\(980\) | −9.92062 | − | 12.1071i | −0.316902 | − | 0.386746i | ||||
\(981\) | 20.1488 | 0.643303 | ||||||||
\(982\) | 0.692274 | + | 2.58360i | 0.0220913 | + | 0.0824460i | ||||
\(983\) | −24.7118 | − | 6.62151i | −0.788184 | − | 0.211193i | −0.157794 | − | 0.987472i | \(-0.550438\pi\) |
−0.630390 | + | 0.776279i | \(0.717105\pi\) | |||||||
\(984\) | −10.3051 | + | 5.94967i | −0.328516 | + | 0.189669i | ||||
\(985\) | −9.18438 | + | 31.5052i | −0.292639 | + | 1.00384i | ||||
\(986\) | 8.54248i | 0.272048i | ||||||||
\(987\) | −9.39738 | − | 13.2764i | −0.299122 | − | 0.422591i | ||||
\(988\) | 4.81451 | + | 4.81451i | 0.153170 | + | 0.153170i | ||||
\(989\) | −17.1658 | − | 9.91066i | −0.545839 | − | 0.315141i | ||||
\(990\) | 2.85275 | − | 2.73068i | 0.0906663 | − | 0.0867867i | ||||
\(991\) | −13.1174 | − | 22.7201i | −0.416689 | − | 0.721726i | 0.578915 | − | 0.815388i | \(-0.303476\pi\) |
−0.995604 | + | 0.0936614i | \(0.970143\pi\) | |||||||
\(992\) | 9.97746 | − | 2.67345i | 0.316785 | − | 0.0848822i | ||||
\(993\) | 13.1752 | − | 13.1752i | 0.418104 | − | 0.418104i | ||||
\(994\) | 18.1189 | − | 21.8180i | 0.574696 | − | 0.692026i | ||||
\(995\) | −35.4849 | − | 21.5349i | −1.12495 | − | 0.682701i | ||||
\(996\) | 1.37339 | − | 2.37878i | 0.0435175 | − | 0.0753745i | ||||
\(997\) | 9.65822 | − | 36.0450i | 0.305879 | − | 1.14156i | −0.626307 | − | 0.779577i | \(-0.715434\pi\) |
0.932186 | − | 0.361980i | \(-0.117899\pi\) | |||||||
\(998\) | −4.70442 | + | 17.5571i | −0.148916 | + | 0.555762i | ||||
\(999\) | 1.66429 | − | 2.88263i | 0.0526558 | − | 0.0912025i |
(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 | 210.2.u.b.103.2 | yes | 16 | |
3.2 | odd | 2 | 630.2.bv.b.523.3 | 16 | |||
5.2 | odd | 4 | 210.2.u.a.187.3 | yes | 16 | ||
5.3 | odd | 4 | 1050.2.bc.h.607.1 | 16 | |||
5.4 | even | 2 | 1050.2.bc.g.943.4 | 16 | |||
7.2 | even | 3 | 1470.2.m.e.1273.2 | 16 | |||
7.3 | odd | 6 | 210.2.u.a.73.3 | ✓ | 16 | ||
7.5 | odd | 6 | 1470.2.m.d.1273.3 | 16 | |||
15.2 | even | 4 | 630.2.bv.a.397.2 | 16 | |||
21.17 | even | 6 | 630.2.bv.a.73.2 | 16 | |||
35.2 | odd | 12 | 1470.2.m.d.97.3 | 16 | |||
35.3 | even | 12 | 1050.2.bc.g.157.4 | 16 | |||
35.12 | even | 12 | 1470.2.m.e.97.2 | 16 | |||
35.17 | even | 12 | inner | 210.2.u.b.157.2 | yes | 16 | |
35.24 | odd | 6 | 1050.2.bc.h.493.1 | 16 | |||
105.17 | odd | 12 | 630.2.bv.b.577.3 | 16 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
210.2.u.a.73.3 | ✓ | 16 | 7.3 | odd | 6 | ||
210.2.u.a.187.3 | yes | 16 | 5.2 | odd | 4 | ||
210.2.u.b.103.2 | yes | 16 | 1.1 | even | 1 | trivial | |
210.2.u.b.157.2 | yes | 16 | 35.17 | even | 12 | inner | |
630.2.bv.a.73.2 | 16 | 21.17 | even | 6 | |||
630.2.bv.a.397.2 | 16 | 15.2 | even | 4 | |||
630.2.bv.b.523.3 | 16 | 3.2 | odd | 2 | |||
630.2.bv.b.577.3 | 16 | 105.17 | odd | 12 | |||
1050.2.bc.g.157.4 | 16 | 35.3 | even | 12 | |||
1050.2.bc.g.943.4 | 16 | 5.4 | even | 2 | |||
1050.2.bc.h.493.1 | 16 | 35.24 | odd | 6 | |||
1050.2.bc.h.607.1 | 16 | 5.3 | odd | 4 | |||
1470.2.m.d.97.3 | 16 | 35.2 | odd | 12 | |||
1470.2.m.d.1273.3 | 16 | 7.5 | odd | 6 | |||
1470.2.m.e.97.2 | 16 | 35.12 | even | 12 | |||
1470.2.m.e.1273.2 | 16 | 7.2 | even | 3 |