Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [588,2,Mod(103,588)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(588, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 0, 29]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("588.103");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 588 = 2^{2} \cdot 3 \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 588.ba (of order \(42\), degree \(12\), 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: | \(4.69520363885\) |
Analytic rank: | \(0\) |
Dimension: | \(336\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 187.4 | ||
Character | \(\chi\) | \(=\) | 588.187 |
Dual form | 588.2.ba.b.283.4 |
$q$-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 \(\left(\mathbb{Z}/588\mathbb{Z}\right)^\times\).
\(n\) | \(197\) | \(295\) | \(493\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{23}{42}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.30318 | + | 0.549285i | −0.921490 | + | 0.388403i | ||||
\(3\) | −0.988831 | − | 0.149042i | −0.570902 | − | 0.0860496i | ||||
\(4\) | 1.39657 | − | 1.43164i | 0.698286 | − | 0.715819i | ||||
\(5\) | −2.67539 | + | 1.05002i | −1.19647 | + | 0.469581i | −0.878143 | − | 0.478399i | \(-0.841217\pi\) |
−0.318330 | + | 0.947980i | \(0.603122\pi\) | |||||||
\(6\) | 1.37049 | − | 0.348920i | 0.559502 | − | 0.142446i | ||||
\(7\) | −0.927902 | − | 2.47770i | −0.350714 | − | 0.936483i | ||||
\(8\) | −1.03361 | + | 2.63280i | −0.365437 | + | 0.930836i | ||||
\(9\) | 0.955573 | + | 0.294755i | 0.318524 | + | 0.0982517i | ||||
\(10\) | 2.90977 | − | 2.83792i | 0.920151 | − | 0.897428i | ||||
\(11\) | −1.21319 | − | 3.93306i | −0.365790 | − | 1.18586i | −0.932263 | − | 0.361782i | \(-0.882169\pi\) |
0.566473 | − | 0.824080i | \(-0.308308\pi\) | |||||||
\(12\) | −1.59435 | + | 1.20750i | −0.460249 | + | 0.348575i | ||||
\(13\) | 4.15433 | + | 0.948198i | 1.15220 | + | 0.262983i | 0.755616 | − | 0.655015i | \(-0.227338\pi\) |
0.396587 | + | 0.917997i | \(0.370195\pi\) | |||||||
\(14\) | 2.57019 | + | 2.71921i | 0.686912 | + | 0.726741i | ||||
\(15\) | 2.80201 | − | 0.639540i | 0.723476 | − | 0.165129i | ||||
\(16\) | −0.0991714 | − | 3.99877i | −0.0247929 | − | 0.999693i | ||||
\(17\) | −1.41274 | + | 2.07211i | −0.342640 | + | 0.502560i | −0.958421 | − | 0.285357i | \(-0.907888\pi\) |
0.615782 | + | 0.787917i | \(0.288840\pi\) | |||||||
\(18\) | −1.40719 | + | 0.140762i | −0.331678 | + | 0.0331778i | ||||
\(19\) | −1.77717 | + | 3.07815i | −0.407711 | + | 0.706176i | −0.994633 | − | 0.103467i | \(-0.967006\pi\) |
0.586922 | + | 0.809644i | \(0.300340\pi\) | |||||||
\(20\) | −2.23314 | + | 5.29662i | −0.499346 | + | 1.18436i | ||||
\(21\) | 0.548256 | + | 2.58832i | 0.119639 | + | 0.564818i | ||||
\(22\) | 3.74138 | + | 4.45911i | 0.797664 | + | 0.950686i | ||||
\(23\) | −0.0806465 | − | 0.118287i | −0.0168160 | − | 0.0246645i | 0.817739 | − | 0.575590i | \(-0.195227\pi\) |
−0.834555 | + | 0.550925i | \(0.814275\pi\) | |||||||
\(24\) | 1.41447 | − | 2.44934i | 0.288727 | − | 0.499970i | ||||
\(25\) | 2.38995 | − | 2.21755i | 0.477989 | − | 0.443509i | ||||
\(26\) | −5.93468 | + | 1.04623i | −1.16389 | + | 0.205183i | ||||
\(27\) | −0.900969 | − | 0.433884i | −0.173392 | − | 0.0835010i | ||||
\(28\) | −4.84305 | − | 2.13187i | −0.915251 | − | 0.402885i | ||||
\(29\) | −1.88067 | + | 0.905681i | −0.349231 | + | 0.168181i | −0.600273 | − | 0.799796i | \(-0.704941\pi\) |
0.251042 | + | 0.967976i | \(0.419227\pi\) | |||||||
\(30\) | −3.30024 | + | 2.37254i | −0.602539 | + | 0.433164i | ||||
\(31\) | 2.09249 | + | 3.62430i | 0.375823 | + | 0.650944i | 0.990450 | − | 0.137874i | \(-0.0440268\pi\) |
−0.614627 | + | 0.788818i | \(0.710694\pi\) | |||||||
\(32\) | 2.32570 | + | 5.15666i | 0.411130 | + | 0.911577i | ||||
\(33\) | 0.613446 | + | 4.06995i | 0.106787 | + | 0.708487i | ||||
\(34\) | 0.702881 | − | 3.47633i | 0.120543 | − | 0.596186i | ||||
\(35\) | 5.08413 | + | 5.65451i | 0.859374 | + | 0.955787i | ||||
\(36\) | 1.75651 | − | 0.956387i | 0.292752 | − | 0.159398i | ||||
\(37\) | −0.213032 | + | 2.84272i | −0.0350223 | + | 0.467340i | 0.951929 | + | 0.306319i | \(0.0990975\pi\) |
−0.986951 | + | 0.161020i | \(0.948522\pi\) | |||||||
\(38\) | 0.625198 | − | 4.98757i | 0.101420 | − | 0.809090i | ||||
\(39\) | −3.96660 | − | 1.55678i | −0.635165 | − | 0.249284i | ||||
\(40\) | 0.000840595 | − | 8.12909i | 0.000132910 | − | 1.28532i | ||||
\(41\) | 5.74932 | + | 4.58493i | 0.897893 | + | 0.716045i | 0.959396 | − | 0.282061i | \(-0.0910182\pi\) |
−0.0615037 | + | 0.998107i | \(0.519590\pi\) | |||||||
\(42\) | −2.13620 | − | 3.07191i | −0.329624 | − | 0.474006i | ||||
\(43\) | 0.530190 | − | 0.422812i | 0.0808532 | − | 0.0644783i | −0.582229 | − | 0.813025i | \(-0.697819\pi\) |
0.663082 | + | 0.748546i | \(0.269248\pi\) | |||||||
\(44\) | −7.32502 | − | 3.75596i | −1.10429 | − | 0.566232i | ||||
\(45\) | −2.86603 | + | 0.214779i | −0.427243 | + | 0.0320174i | ||||
\(46\) | 0.170070 | + | 0.109851i | 0.0250755 | + | 0.0161967i | ||||
\(47\) | 4.03381 | + | 3.74283i | 0.588392 | + | 0.545948i | 0.917189 | − | 0.398453i | \(-0.130453\pi\) |
−0.328797 | + | 0.944401i | \(0.606643\pi\) | |||||||
\(48\) | −0.497922 | + | 3.96889i | −0.0718689 | + | 0.572860i | ||||
\(49\) | −5.27800 | + | 4.59813i | −0.753999 | + | 0.656875i | ||||
\(50\) | −1.89647 | + | 4.20263i | −0.268202 | + | 0.594342i | ||||
\(51\) | 1.70579 | − | 1.83841i | 0.238859 | − | 0.257429i | ||||
\(52\) | 7.15929 | − | 4.62326i | 0.992815 | − | 0.641131i | ||||
\(53\) | 0.987714 | + | 13.1801i | 0.135673 | + | 1.81043i | 0.486168 | + | 0.873865i | \(0.338394\pi\) |
−0.350495 | + | 0.936564i | \(0.613987\pi\) | |||||||
\(54\) | 1.41245 | + | 0.0705414i | 0.192211 | + | 0.00959947i | ||||
\(55\) | 7.37553 | + | 9.24862i | 0.994516 | + | 1.24708i | ||||
\(56\) | 7.48238 | + | 0.118000i | 0.999876 | + | 0.0157685i | ||||
\(57\) | 2.21610 | − | 2.77890i | 0.293529 | − | 0.368074i | ||||
\(58\) | 1.95338 | − | 2.21329i | 0.256491 | − | 0.290619i | ||||
\(59\) | −0.259487 | + | 0.661162i | −0.0337823 | + | 0.0860759i | −0.946769 | − | 0.321912i | \(-0.895674\pi\) |
0.912987 | + | 0.407988i | \(0.133770\pi\) | |||||||
\(60\) | 2.99762 | − | 4.90463i | 0.386991 | − | 0.633184i | ||||
\(61\) | −8.24273 | − | 0.617707i | −1.05537 | − | 0.0790893i | −0.464277 | − | 0.885690i | \(-0.653686\pi\) |
−0.591096 | + | 0.806601i | \(0.701305\pi\) | |||||||
\(62\) | −4.71767 | − | 3.57376i | −0.599145 | − | 0.453867i | ||||
\(63\) | −0.156363 | − | 2.64113i | −0.0196999 | − | 0.332751i | ||||
\(64\) | −5.86329 | − | 5.44259i | −0.732911 | − | 0.680324i | ||||
\(65\) | −12.1101 | + | 1.82530i | −1.50207 | + | 0.226401i | ||||
\(66\) | −3.03499 | − | 4.96693i | −0.373582 | − | 0.611387i | ||||
\(67\) | −13.2691 | + | 7.66092i | −1.62108 | + | 0.935930i | −0.634446 | + | 0.772967i | \(0.718772\pi\) |
−0.986632 | + | 0.162963i | \(0.947895\pi\) | |||||||
\(68\) | 0.993515 | + | 4.91638i | 0.120481 | + | 0.596199i | ||||
\(69\) | 0.0621160 | + | 0.128985i | 0.00747789 | + | 0.0155280i | ||||
\(70\) | −9.73149 | − | 4.57623i | −1.16314 | − | 0.546965i | ||||
\(71\) | 6.00357 | − | 12.4665i | 0.712493 | − | 1.47951i | −0.158059 | − | 0.987430i | \(-0.550524\pi\) |
0.870552 | − | 0.492077i | \(-0.163762\pi\) | |||||||
\(72\) | −1.76372 | + | 2.21117i | −0.207857 | + | 0.260589i | ||||
\(73\) | 8.63806 | + | 9.30962i | 1.01101 | + | 1.08961i | 0.995967 | + | 0.0897213i | \(0.0285976\pi\) |
0.0150417 | + | 0.999887i | \(0.495212\pi\) | |||||||
\(74\) | −1.28384 | − | 3.82160i | −0.149243 | − | 0.444251i | ||||
\(75\) | −2.69376 | + | 1.83657i | −0.311049 | + | 0.212069i | ||||
\(76\) | 1.92485 | + | 6.84313i | 0.220795 | + | 0.784960i | ||||
\(77\) | −8.61922 | + | 6.65541i | −0.982251 | + | 0.758454i | ||||
\(78\) | 6.02433 | − | 0.150030i | 0.682121 | − | 0.0169875i | ||||
\(79\) | 0.803099 | + | 0.463670i | 0.0903557 | + | 0.0521669i | 0.544497 | − | 0.838763i | \(-0.316721\pi\) |
−0.454141 | + | 0.890930i | \(0.650054\pi\) | |||||||
\(80\) | 4.46409 | + | 10.5942i | 0.499101 | + | 1.18446i | ||||
\(81\) | 0.826239 | + | 0.563320i | 0.0918043 | + | 0.0625911i | ||||
\(82\) | −10.0108 | − | 2.81699i | −1.10551 | − | 0.311084i | ||||
\(83\) | 3.42570 | + | 15.0090i | 0.376020 | + | 1.64745i | 0.709509 | + | 0.704697i | \(0.248917\pi\) |
−0.333489 | + | 0.942754i | \(0.608226\pi\) | |||||||
\(84\) | 4.47122 | + | 2.82988i | 0.487850 | + | 0.308765i | ||||
\(85\) | 1.60389 | − | 7.02711i | 0.173966 | − | 0.762197i | ||||
\(86\) | −0.458690 | + | 0.842227i | −0.0494618 | + | 0.0908197i | ||||
\(87\) | 1.99465 | − | 0.615267i | 0.213848 | − | 0.0659635i | ||||
\(88\) | 11.6089 | + | 0.871176i | 1.23752 | + | 0.0928677i | ||||
\(89\) | 4.14664 | − | 13.4431i | 0.439543 | − | 1.42496i | −0.417008 | − | 0.908903i | \(-0.636921\pi\) |
0.856551 | − | 0.516062i | \(-0.172603\pi\) | |||||||
\(90\) | 3.61699 | − | 1.85416i | 0.381264 | − | 0.195446i | ||||
\(91\) | −1.50546 | − | 11.1730i | −0.157815 | − | 1.17125i | ||||
\(92\) | −0.281972 | − | 0.0497394i | −0.0293977 | − | 0.00518569i | ||||
\(93\) | −1.52895 | − | 3.89569i | −0.158544 | − | 0.403964i | ||||
\(94\) | −7.31267 | − | 2.66188i | −0.754244 | − | 0.274552i | ||||
\(95\) | 1.52253 | − | 10.1013i | 0.156208 | − | 1.03637i | ||||
\(96\) | −1.53117 | − | 5.44569i | −0.156274 | − | 0.555798i | ||||
\(97\) | − | 1.93928i | − | 0.196904i | −0.995142 | − | 0.0984521i | \(-0.968611\pi\) | ||
0.995142 | − | 0.0984521i | \(-0.0313891\pi\) | |||||||
\(98\) | 4.35251 | − | 8.89132i | 0.439670 | − | 0.898159i | ||||
\(99\) | − | 4.11592i | − | 0.413665i | ||||||
\(100\) | 0.163011 | − | 6.51850i | 0.0163011 | − | 0.651850i | ||||
\(101\) | 0.392703 | − | 2.60541i | 0.0390754 | − | 0.259248i | −0.960760 | − | 0.277380i | \(-0.910534\pi\) |
0.999836 | + | 0.0181320i | \(0.00577192\pi\) | |||||||
\(102\) | −1.21315 | + | 3.33275i | −0.120120 | + | 0.329991i | ||||
\(103\) | 4.20845 | + | 10.7230i | 0.414671 | + | 1.05656i | 0.973784 | + | 0.227473i | \(0.0730463\pi\) |
−0.559114 | + | 0.829091i | \(0.688858\pi\) | |||||||
\(104\) | −6.79038 | + | 9.95745i | −0.665852 | + | 0.976408i | ||||
\(105\) | −4.18458 | − | 6.34911i | −0.408373 | − | 0.619610i | ||||
\(106\) | −8.52682 | − | 16.6336i | −0.828198 | − | 1.61560i | ||||
\(107\) | −2.68408 | + | 8.70158i | −0.259480 | + | 0.841214i | 0.728286 | + | 0.685273i | \(0.240317\pi\) |
−0.987766 | + | 0.155941i | \(0.950159\pi\) | |||||||
\(108\) | −1.87943 | + | 0.683911i | −0.180848 | + | 0.0658093i | ||||
\(109\) | 17.3397 | − | 5.34858i | 1.66084 | − | 0.512301i | 0.684585 | − | 0.728933i | \(-0.259983\pi\) |
0.976253 | + | 0.216632i | \(0.0695073\pi\) | |||||||
\(110\) | −14.6918 | − | 8.00138i | −1.40081 | − | 0.762902i | ||||
\(111\) | 0.634338 | − | 2.77921i | 0.0602087 | − | 0.263791i | ||||
\(112\) | −9.81573 | + | 3.95618i | −0.927500 | + | 0.373824i | ||||
\(113\) | −0.609792 | − | 2.67167i | −0.0573644 | − | 0.251330i | 0.938113 | − | 0.346330i | \(-0.112572\pi\) |
−0.995477 | + | 0.0949997i | \(0.969715\pi\) | |||||||
\(114\) | −1.36157 | + | 4.83868i | −0.127523 | + | 0.453184i | ||||
\(115\) | 0.339964 | + | 0.231784i | 0.0317018 | + | 0.0216139i | ||||
\(116\) | −1.32988 | + | 3.95728i | −0.123476 | + | 0.367424i | ||||
\(117\) | 3.69028 | + | 2.13058i | 0.341166 | + | 0.196972i | ||||
\(118\) | −0.0250072 | − | 1.00415i | −0.00230210 | − | 0.0924392i | ||||
\(119\) | 6.44495 | + | 1.57763i | 0.590808 | + | 0.144621i | ||||
\(120\) | −1.21241 | + | 8.03817i | −0.110677 | + | 0.733781i | ||||
\(121\) | −4.90850 | + | 3.34656i | −0.446228 | + | 0.304233i | ||||
\(122\) | 11.0811 | − | 3.72262i | 1.00323 | − | 0.337030i | ||||
\(123\) | −5.00175 | − | 5.39061i | −0.450993 | − | 0.486055i | ||||
\(124\) | 8.11100 | + | 2.06591i | 0.728390 | + | 0.185524i | ||||
\(125\) | 2.16947 | − | 4.50494i | 0.194043 | − | 0.402934i | ||||
\(126\) | 1.65450 | + | 3.35598i | 0.147395 | + | 0.298975i | ||||
\(127\) | −5.93348 | − | 12.3210i | −0.526512 | − | 1.09331i | −0.979434 | − | 0.201763i | \(-0.935333\pi\) |
0.452923 | − | 0.891550i | \(-0.350381\pi\) | |||||||
\(128\) | 10.6305 | + | 3.87208i | 0.939610 | + | 0.342247i | ||||
\(129\) | −0.587285 | + | 0.339069i | −0.0517076 | + | 0.0298534i | ||||
\(130\) | 14.7790 | − | 9.03059i | 1.29621 | − | 0.792035i | ||||
\(131\) | −1.97708 | + | 0.297996i | −0.172738 | + | 0.0260361i | −0.234842 | − | 0.972034i | \(-0.575457\pi\) |
0.0621036 | + | 0.998070i | \(0.480219\pi\) | |||||||
\(132\) | 6.68341 | + | 4.80574i | 0.581716 | + | 0.418286i | ||||
\(133\) | 9.27578 | + | 1.54708i | 0.804312 | + | 0.134148i | ||||
\(134\) | 13.0840 | − | 17.2721i | 1.13029 | − | 1.49208i | ||||
\(135\) | 2.86603 | + | 0.214779i | 0.246669 | + | 0.0184853i | ||||
\(136\) | −3.99523 | − | 5.86122i | −0.342588 | − | 0.502596i | ||||
\(137\) | −1.39354 | + | 3.55068i | −0.119058 | + | 0.303355i | −0.977962 | − | 0.208781i | \(-0.933050\pi\) |
0.858904 | + | 0.512136i | \(0.171146\pi\) | |||||||
\(138\) | −0.151798 | − | 0.133972i | −0.0129219 | − | 0.0114045i | ||||
\(139\) | −10.6582 | + | 13.3649i | −0.904016 | + | 1.13360i | 0.0865073 | + | 0.996251i | \(0.472429\pi\) |
−0.990523 | + | 0.137348i | \(0.956142\pi\) | |||||||
\(140\) | 15.1956 | + | 0.618313i | 1.28426 | + | 0.0522570i | ||||
\(141\) | −3.43092 | − | 4.30223i | −0.288935 | − | 0.362313i | ||||
\(142\) | −0.976069 | + | 19.5439i | −0.0819099 | + | 1.64008i | ||||
\(143\) | −1.31066 | − | 17.4896i | −0.109603 | − | 1.46255i | ||||
\(144\) | 1.08389 | − | 3.85035i | 0.0903244 | − | 0.320862i | ||||
\(145\) | 4.08055 | − | 4.39778i | 0.338871 | − | 0.365216i | ||||
\(146\) | −16.3706 | − | 7.38738i | −1.35484 | − | 0.611384i | ||||
\(147\) | 5.90436 | − | 3.76012i | 0.486983 | − | 0.310130i | ||||
\(148\) | 3.77222 | + | 4.27504i | 0.310075 | + | 0.351406i | ||||
\(149\) | −9.68614 | − | 8.98743i | −0.793520 | − | 0.736279i | 0.175174 | − | 0.984537i | \(-0.443951\pi\) |
−0.968694 | + | 0.248259i | \(0.920142\pi\) | |||||||
\(150\) | 2.50166 | − | 3.87303i | 0.204260 | − | 0.316232i | ||||
\(151\) | 23.6961 | − | 1.77577i | 1.92836 | − | 0.144511i | 0.945107 | − | 0.326762i | \(-0.105957\pi\) |
0.983252 | + | 0.182251i | \(0.0583384\pi\) | |||||||
\(152\) | −6.26725 | − | 7.86056i | −0.508341 | − | 0.637575i | ||||
\(153\) | −1.96074 | + | 1.56364i | −0.158517 | + | 0.126413i | ||||
\(154\) | 7.57671 | − | 13.4076i | 0.610549 | − | 1.08042i | ||||
\(155\) | −9.40381 | − | 7.49929i | −0.755333 | − | 0.602358i | ||||
\(156\) | −7.76839 | + | 3.50459i | −0.621969 | + | 0.280592i | ||||
\(157\) | 12.6579 | + | 4.96787i | 1.01021 | + | 0.396479i | 0.811986 | − | 0.583677i | \(-0.198387\pi\) |
0.198226 | + | 0.980156i | \(0.436482\pi\) | |||||||
\(158\) | −1.30127 | − | 0.163116i | −0.103524 | − | 0.0129768i | ||||
\(159\) | 0.987714 | − | 13.1801i | 0.0783308 | − | 1.04525i | ||||
\(160\) | −11.6367 | − | 11.3541i | −0.919965 | − | 0.897618i | ||||
\(161\) | −0.218247 | + | 0.309576i | −0.0172003 | + | 0.0243980i | ||||
\(162\) | −1.38616 | − | 0.280269i | −0.108907 | − | 0.0220200i | ||||
\(163\) | −0.871221 | − | 5.78017i | −0.0682393 | − | 0.452738i | −0.996691 | − | 0.0812847i | \(-0.974098\pi\) |
0.928452 | − | 0.371453i | \(-0.121140\pi\) | |||||||
\(164\) | 14.5933 | − | 1.82776i | 1.13954 | − | 0.142724i | ||||
\(165\) | −5.91471 | − | 10.2446i | −0.460460 | − | 0.797540i | ||||
\(166\) | −12.7085 | − | 17.6778i | −0.986373 | − | 1.37206i | ||||
\(167\) | 11.3638 | − | 5.47252i | 0.879358 | − | 0.423476i | 0.0609680 | − | 0.998140i | \(-0.480581\pi\) |
0.818390 | + | 0.574663i | \(0.194867\pi\) | |||||||
\(168\) | −7.38123 | − | 1.23187i | −0.569474 | − | 0.0950411i | ||||
\(169\) | 4.64675 | + | 2.23776i | 0.357443 | + | 0.172135i | ||||
\(170\) | 1.76972 | + | 10.0386i | 0.135731 | + | 0.769926i | ||||
\(171\) | −2.60552 | + | 2.41757i | −0.199249 | + | 0.184876i | ||||
\(172\) | 0.135135 | − | 1.34953i | 0.0103039 | − | 0.102901i | ||||
\(173\) | −12.9438 | − | 18.9851i | −0.984099 | − | 1.44341i | −0.894310 | − | 0.447448i | \(-0.852333\pi\) |
−0.0897890 | − | 0.995961i | \(-0.528619\pi\) | |||||||
\(174\) | −2.26143 | + | 1.89743i | −0.171439 | + | 0.143844i | ||||
\(175\) | −7.71205 | − | 3.86390i | −0.582976 | − | 0.292084i | ||||
\(176\) | −15.6071 | + | 5.24131i | −1.17643 | + | 0.395078i | ||||
\(177\) | 0.355130 | − | 0.615102i | 0.0266932 | − | 0.0462339i | ||||
\(178\) | 1.98025 | + | 19.7965i | 0.148426 | + | 1.48381i | ||||
\(179\) | −11.2925 | + | 16.5630i | −0.844040 | + | 1.23798i | 0.125266 | + | 0.992123i | \(0.460021\pi\) |
−0.969306 | + | 0.245856i | \(0.920931\pi\) | |||||||
\(180\) | −3.69513 | + | 4.40307i | −0.275419 | + | 0.328186i | ||||
\(181\) | −13.5612 | + | 3.09526i | −1.00800 | + | 0.230069i | −0.694479 | − | 0.719513i | \(-0.744365\pi\) |
−0.313519 | + | 0.949582i | \(0.601508\pi\) | |||||||
\(182\) | 8.09905 | + | 13.7336i | 0.600342 | + | 1.01800i | ||||
\(183\) | 8.05860 | + | 1.83932i | 0.595709 | + | 0.135967i | ||||
\(184\) | 0.394783 | − | 0.0900636i | 0.0291038 | − | 0.00663958i | ||||
\(185\) | −2.41495 | − | 7.82908i | −0.177551 | − | 0.575605i | ||||
\(186\) | 4.13234 | + | 4.23697i | 0.302998 | + | 0.310670i | ||||
\(187\) | 9.86365 | + | 3.04253i | 0.721301 | + | 0.222492i | ||||
\(188\) | 10.9919 | − | 0.547822i | 0.801665 | − | 0.0399540i | ||||
\(189\) | −0.239023 | + | 2.63493i | −0.0173864 | + | 0.191663i | ||||
\(190\) | 3.56437 | + | 14.0002i | 0.258587 | + | 1.01568i | ||||
\(191\) | −0.507490 | + | 0.199175i | −0.0367207 | + | 0.0144118i | −0.383630 | − | 0.923487i | \(-0.625326\pi\) |
0.346910 | + | 0.937899i | \(0.387231\pi\) | |||||||
\(192\) | 4.98662 | + | 6.25568i | 0.359879 | + | 0.451465i | ||||
\(193\) | −9.01835 | − | 1.35930i | −0.649155 | − | 0.0978444i | −0.183793 | − | 0.982965i | \(-0.558838\pi\) |
−0.465362 | + | 0.885121i | \(0.654076\pi\) | |||||||
\(194\) | 1.06522 | + | 2.52724i | 0.0764782 | + | 0.181445i | ||||
\(195\) | 12.2469 | 0.877017 | ||||||||
\(196\) | −0.788254 | + | 13.9778i | −0.0563039 | + | 0.998414i | ||||
\(197\) | 11.5293 | 0.821432 | 0.410716 | − | 0.911763i | \(-0.365279\pi\) | ||||
0.410716 | + | 0.911763i | \(0.365279\pi\) | |||||||
\(198\) | 2.26081 | + | 5.36379i | 0.160669 | + | 0.381188i | ||||
\(199\) | 1.12543 | + | 0.169632i | 0.0797798 | + | 0.0120249i | 0.188811 | − | 0.982013i | \(-0.439537\pi\) |
−0.109031 | + | 0.994038i | \(0.534775\pi\) | |||||||
\(200\) | 3.36808 | + | 8.58434i | 0.238159 | + | 0.607004i | ||||
\(201\) | 14.2627 | − | 5.59770i | 1.00601 | − | 0.394831i | ||||
\(202\) | 0.919350 | + | 3.61104i | 0.0646852 | + | 0.254072i | ||||
\(203\) | 3.98908 | + | 3.81934i | 0.279979 | + | 0.268065i | ||||
\(204\) | −0.249670 | − | 5.00955i | −0.0174804 | − | 0.350738i | ||||
\(205\) | −20.1959 | − | 6.22962i | −1.41055 | − | 0.435096i | ||||
\(206\) | −11.3743 | − | 11.6623i | −0.792487 | − | 0.812553i | ||||
\(207\) | −0.0421980 | − | 0.136803i | −0.00293296 | − | 0.00950843i | ||||
\(208\) | 3.37964 | − | 16.7062i | 0.234336 | − | 1.15837i | ||||
\(209\) | 14.2626 | + | 3.25534i | 0.986564 | + | 0.225177i | ||||
\(210\) | 8.94074 | + | 5.97552i | 0.616970 | + | 0.412350i | ||||
\(211\) | −11.6188 | + | 2.65192i | −0.799873 | + | 0.182566i | −0.602873 | − | 0.797838i | \(-0.705977\pi\) |
−0.197001 | + | 0.980403i | \(0.563120\pi\) | |||||||
\(212\) | 20.2486 | + | 16.9930i | 1.39068 | + | 1.16708i | ||||
\(213\) | −7.79456 | + | 11.4325i | −0.534074 | + | 0.783343i | ||||
\(214\) | −1.28180 | − | 12.8141i | −0.0876218 | − | 0.875953i | ||||
\(215\) | −0.974508 | + | 1.68790i | −0.0664609 | + | 0.115114i | ||||
\(216\) | 2.07358 | − | 1.92360i | 0.141089 | − | 0.130885i | ||||
\(217\) | 7.03831 | − | 8.54757i | 0.477791 | − | 0.580247i | ||||
\(218\) | −19.6589 | + | 16.4946i | −1.33147 | + | 1.11715i | ||||
\(219\) | −7.15406 | − | 10.4931i | −0.483426 | − | 0.709056i | ||||
\(220\) | 23.5411 | + | 2.35728i | 1.58714 | + | 0.158928i | ||||
\(221\) | −7.83375 | + | 7.26866i | −0.526955 | + | 0.488943i | ||||
\(222\) | 0.699922 | + | 3.97026i | 0.0469757 | + | 0.266466i | ||||
\(223\) | 5.10130 | + | 2.45666i | 0.341608 | + | 0.164510i | 0.596820 | − | 0.802375i | \(-0.296431\pi\) |
−0.255211 | + | 0.966885i | \(0.582145\pi\) | |||||||
\(224\) | 10.6186 | − | 10.5473i | 0.709487 | − | 0.704719i | ||||
\(225\) | 2.93740 | − | 1.41458i | 0.195827 | − | 0.0943052i | ||||
\(226\) | 2.26218 | + | 3.14673i | 0.150478 | + | 0.209317i | ||||
\(227\) | 0.863063 | + | 1.49487i | 0.0572835 | + | 0.0992179i | 0.893245 | − | 0.449570i | \(-0.148423\pi\) |
−0.835962 | + | 0.548788i | \(0.815089\pi\) | |||||||
\(228\) | −0.883434 | − | 7.05358i | −0.0585068 | − | 0.467135i | ||||
\(229\) | 3.42237 | + | 22.7059i | 0.226156 | + | 1.50045i | 0.757244 | + | 0.653133i | \(0.226546\pi\) |
−0.531087 | + | 0.847317i | \(0.678216\pi\) | |||||||
\(230\) | −0.570351 | − | 0.115319i | −0.0376078 | − | 0.00760393i | ||||
\(231\) | 9.51489 | − | 5.29645i | 0.626034 | − | 0.348481i | ||||
\(232\) | −0.440598 | − | 5.88754i | −0.0289267 | − | 0.386536i | ||||
\(233\) | −1.71738 | + | 22.9168i | −0.112509 | + | 1.50133i | 0.600187 | + | 0.799860i | \(0.295093\pi\) |
−0.712697 | + | 0.701472i | \(0.752526\pi\) | |||||||
\(234\) | −5.97940 | − | 0.749525i | −0.390886 | − | 0.0489980i | ||||
\(235\) | −14.7221 | − | 5.77798i | −0.960361 | − | 0.376914i | ||||
\(236\) | 0.584152 | + | 1.29485i | 0.0380250 | + | 0.0842876i | ||||
\(237\) | −0.725023 | − | 0.578187i | −0.0470953 | − | 0.0375573i | ||||
\(238\) | −9.26552 | + | 1.48417i | −0.600594 | + | 0.0962044i | ||||
\(239\) | −6.13325 | + | 4.89111i | −0.396727 | + | 0.316379i | −0.801452 | − | 0.598059i | \(-0.795939\pi\) |
0.404725 | + | 0.914439i | \(0.367367\pi\) | |||||||
\(240\) | −2.83525 | − | 11.1412i | −0.183015 | − | 0.719159i | ||||
\(241\) | −12.6967 | + | 0.951489i | −0.817869 | + | 0.0612908i | −0.477092 | − | 0.878853i | \(-0.658309\pi\) |
−0.340777 | + | 0.940144i | \(0.610690\pi\) | |||||||
\(242\) | 4.55846 | − | 7.05735i | 0.293029 | − | 0.453664i | ||||
\(243\) | −0.733052 | − | 0.680173i | −0.0470253 | − | 0.0436331i | ||||
\(244\) | −12.3959 | + | 10.9379i | −0.793566 | + | 0.700229i | ||||
\(245\) | 9.29262 | − | 17.8438i | 0.593684 | − | 1.14000i | ||||
\(246\) | 9.47918 | + | 4.27756i | 0.604371 | + | 0.272727i | ||||
\(247\) | −10.3016 | + | 11.1025i | −0.655478 | + | 0.706437i | ||||
\(248\) | −11.7049 | + | 1.76299i | −0.743262 | + | 0.111950i | ||||
\(249\) | −1.15047 | − | 15.3519i | −0.0729079 | − | 0.972889i | ||||
\(250\) | −0.352715 | + | 7.06242i | −0.0223076 | + | 0.446666i | ||||
\(251\) | −1.60515 | − | 2.01279i | −0.101316 | − | 0.127046i | 0.728589 | − | 0.684952i | \(-0.240177\pi\) |
−0.829905 | + | 0.557905i | \(0.811605\pi\) | |||||||
\(252\) | −3.99951 | − | 3.46467i | −0.251945 | − | 0.218254i | ||||
\(253\) | −0.367389 | + | 0.460692i | −0.0230976 | + | 0.0289634i | ||||
\(254\) | 14.5002 | + | 12.7974i | 0.909821 | + | 0.802978i | ||||
\(255\) | −2.63331 | + | 6.70957i | −0.164904 | + | 0.420170i | ||||
\(256\) | −15.9803 | + | 0.793128i | −0.998771 | + | 0.0495705i | ||||
\(257\) | −3.03096 | − | 0.227139i | −0.189066 | − | 0.0141686i | −0.0201396 | − | 0.999797i | \(-0.506411\pi\) |
−0.168927 | + | 0.985629i | \(0.554030\pi\) | |||||||
\(258\) | 0.579094 | − | 0.764456i | 0.0360528 | − | 0.0475929i | ||||
\(259\) | 7.24107 | − | 2.10993i | 0.449938 | − | 0.131105i | ||||
\(260\) | −14.2994 | + | 19.8864i | −0.886814 | + | 1.23330i | ||||
\(261\) | −2.06407 | + | 0.311108i | −0.127763 | + | 0.0192571i | ||||
\(262\) | 2.41281 | − | 1.47432i | 0.149064 | − | 0.0910839i | ||||
\(263\) | −24.3576 | + | 14.0629i | −1.50196 | + | 0.867155i | −0.501959 | + | 0.864891i | \(0.667387\pi\) |
−0.999997 | + | 0.00226372i | \(0.999279\pi\) | |||||||
\(264\) | −11.3494 | − | 2.59167i | −0.698509 | − | 0.159506i | ||||
\(265\) | −16.4819 | − | 34.2249i | −1.01247 | − | 2.10242i | ||||
\(266\) | −12.9378 | + | 3.07892i | −0.793269 | + | 0.188781i | ||||
\(267\) | −6.10392 | + | 12.6749i | −0.373554 | + | 0.775692i | ||||
\(268\) | −7.56360 | + | 29.6956i | −0.462020 | + | 1.81395i | ||||
\(269\) | 10.8483 | + | 11.6916i | 0.661429 | + | 0.712851i | 0.971281 | − | 0.237933i | \(-0.0764700\pi\) |
−0.309852 | + | 0.950785i | \(0.600280\pi\) | |||||||
\(270\) | −3.85294 | + | 1.29437i | −0.234482 | + | 0.0787729i | ||||
\(271\) | −25.5515 | + | 17.4207i | −1.55214 | + | 1.05823i | −0.582771 | + | 0.812636i | \(0.698032\pi\) |
−0.969372 | + | 0.245597i | \(0.921016\pi\) | |||||||
\(272\) | 8.42599 | + | 5.44373i | 0.510901 | + | 0.330075i | ||||
\(273\) | −0.176608 | + | 11.2726i | −0.0106888 | + | 0.682248i | ||||
\(274\) | −0.134298 | − | 5.39263i | −0.00811323 | − | 0.325781i | ||||
\(275\) | −11.6212 | − | 6.70950i | −0.700784 | − | 0.404598i | ||||
\(276\) | 0.271410 | + | 0.0912096i | 0.0163369 | + | 0.00549017i | ||||
\(277\) | 7.78210 | + | 5.30575i | 0.467581 | + | 0.318792i | 0.774089 | − | 0.633077i | \(-0.218208\pi\) |
−0.306508 | + | 0.951868i | \(0.599161\pi\) | |||||||
\(278\) | 6.54841 | − | 23.2713i | 0.392747 | − | 1.39572i | ||||
\(279\) | 0.931247 | + | 4.08006i | 0.0557523 | + | 0.244267i | ||||
\(280\) | −20.1422 | + | 7.54092i | −1.20373 | + | 0.450656i | ||||
\(281\) | 4.56950 | − | 20.0203i | 0.272594 | − | 1.19431i | −0.634346 | − | 0.773050i | \(-0.718730\pi\) |
0.906939 | − | 0.421261i | \(-0.138413\pi\) | |||||||
\(282\) | 6.83426 | + | 3.72205i | 0.406974 | + | 0.221645i | ||||
\(283\) | −6.06198 | + | 1.86987i | −0.360347 | + | 0.111152i | −0.469642 | − | 0.882857i | \(-0.655617\pi\) |
0.109295 | + | 0.994009i | \(0.465141\pi\) | |||||||
\(284\) | −9.46315 | − | 26.0054i | −0.561535 | − | 1.54313i | ||||
\(285\) | −3.01105 | + | 9.76158i | −0.178359 | + | 0.578226i | ||||
\(286\) | 11.3148 | + | 22.0722i | 0.669057 | + | 1.30515i | ||||
\(287\) | 6.02527 | − | 18.4994i | 0.355661 | − | 1.09199i | ||||
\(288\) | 0.702427 | + | 5.61307i | 0.0413909 | + | 0.330754i | ||||
\(289\) | 3.91300 | + | 9.97015i | 0.230176 | + | 0.586479i | ||||
\(290\) | −2.90206 | + | 7.97250i | −0.170415 | + | 0.468161i | ||||
\(291\) | −0.289035 | + | 1.91762i | −0.0169435 | + | 0.112413i | ||||
\(292\) | 25.3917 | + | 0.634980i | 1.48594 | + | 0.0371594i | ||||
\(293\) | 23.3709i | 1.36534i | 0.730726 | + | 0.682670i | \(0.239181\pi\) | ||||
−0.730726 | + | 0.682670i | \(0.760819\pi\) | |||||||
\(294\) | −5.62908 | + | 8.14331i | −0.328295 | + | 0.474927i | ||||
\(295\) | − | 2.04133i | − | 0.118851i | ||||||
\(296\) | −7.26412 | − | 3.49914i | −0.422218 | − | 0.203383i | ||||
\(297\) | −0.613446 | + | 4.06995i | −0.0355957 | + | 0.236162i | ||||
\(298\) | 17.5595 | + | 6.39181i | 1.01719 | + | 0.370268i | ||||
\(299\) | −0.222873 | − | 0.567870i | −0.0128891 | − | 0.0328408i | ||||
\(300\) | −1.13272 | + | 6.42140i | −0.0653977 | + | 0.370740i | ||||
\(301\) | −1.53957 | − | 0.921323i | −0.0887391 | − | 0.0531042i | ||||
\(302\) | −29.9049 | + | 15.3301i | −1.72083 | + | 0.882145i | ||||
\(303\) | −0.776633 | + | 2.51778i | −0.0446164 | + | 0.144643i | ||||
\(304\) | 12.4851 | + | 6.80124i | 0.716068 | + | 0.390078i | ||||
\(305\) | 22.7012 | − | 7.00238i | 1.29986 | − | 0.400955i | ||||
\(306\) | 1.69632 | − | 3.11471i | 0.0969722 | − | 0.178056i | ||||
\(307\) | −1.20464 | + | 5.27789i | −0.0687527 | + | 0.301225i | −0.997600 | − | 0.0692370i | \(-0.977944\pi\) |
0.928848 | + | 0.370462i | \(0.120801\pi\) | |||||||
\(308\) | −2.50923 | + | 21.6344i | −0.142977 | + | 1.23273i | ||||
\(309\) | −2.56327 | − | 11.2304i | −0.145819 | − | 0.638876i | ||||
\(310\) | 16.3741 | + | 4.60758i | 0.929989 | + | 0.261693i | ||||
\(311\) | −19.7913 | − | 13.4935i | −1.12226 | − | 0.765145i | −0.147648 | − | 0.989040i | \(-0.547170\pi\) |
−0.974613 | + | 0.223895i | \(0.928123\pi\) | |||||||
\(312\) | 8.19862 | − | 8.83418i | 0.464155 | − | 0.500137i | ||||
\(313\) | 3.09305 | + | 1.78578i | 0.174830 | + | 0.100938i | 0.584861 | − | 0.811133i | \(-0.301149\pi\) |
−0.410031 | + | 0.912071i | \(0.634482\pi\) | |||||||
\(314\) | −19.2244 | + | 0.478763i | −1.08489 | + | 0.0270181i | ||||
\(315\) | 3.19156 | + | 6.90187i | 0.179824 | + | 0.388876i | ||||
\(316\) | 1.78539 | − | 0.502199i | 0.100436 | − | 0.0282509i | ||||
\(317\) | 17.7190 | − | 12.0806i | 0.995197 | − | 0.678514i | 0.0478937 | − | 0.998852i | \(-0.484749\pi\) |
0.947303 | + | 0.320339i | \(0.103797\pi\) | |||||||
\(318\) | 5.95247 | + | 17.7187i | 0.333798 | + | 0.993613i | ||||
\(319\) | 5.84370 | + | 6.29801i | 0.327184 | + | 0.352621i | ||||
\(320\) | 21.4014 | + | 8.40455i | 1.19638 | + | 0.469828i | ||||
\(321\) | 3.95101 | − | 8.20435i | 0.220524 | − | 0.457922i | ||||
\(322\) | 0.114370 | − | 0.523314i | 0.00637360 | − | 0.0291632i | ||||
\(323\) | −3.86758 | − | 8.03112i | −0.215198 | − | 0.446863i | ||||
\(324\) | 1.96037 | − | 0.396157i | 0.108910 | − | 0.0220087i | ||||
\(325\) | 12.0313 | − | 6.94627i | 0.667376 | − | 0.385310i | ||||
\(326\) | 4.31032 | + | 7.05407i | 0.238727 | + | 0.390689i | ||||
\(327\) | −17.9432 | + | 2.70450i | −0.992259 | + | 0.149559i | ||||
\(328\) | −18.0138 | + | 10.3978i | −0.994644 | + | 0.574121i | ||||
\(329\) | 5.53063 | − | 13.4675i | 0.304913 | − | 0.742490i | ||||
\(330\) | 13.3352 | + | 10.1017i | 0.734076 | + | 0.556081i | ||||
\(331\) | −12.4387 | − | 0.932155i | −0.683695 | − | 0.0512359i | −0.271646 | − | 0.962397i | \(-0.587568\pi\) |
−0.412050 | + | 0.911161i | \(0.635187\pi\) | |||||||
\(332\) | 26.2717 | + | 16.0568i | 1.44185 | + | 0.881230i | ||||
\(333\) | −1.04147 | + | 2.65363i | −0.0570724 | + | 0.145418i | ||||
\(334\) | −11.8031 | + | 13.3737i | −0.645840 | + | 0.731774i | ||||
\(335\) | 27.4560 | − | 34.4287i | 1.50008 | − | 1.88104i | ||||
\(336\) | 10.2957 | − | 2.44904i | 0.561679 | − | 0.133606i | ||||
\(337\) | 6.95615 | + | 8.72274i | 0.378926 | + | 0.475158i | 0.934323 | − | 0.356427i | \(-0.116005\pi\) |
−0.555397 | + | 0.831585i | \(0.687434\pi\) | |||||||
\(338\) | −7.28474 | − | 0.363818i | −0.396238 | − | 0.0197891i | ||||
\(339\) | 0.204789 | + | 2.73272i | 0.0111226 | + | 0.148421i | ||||
\(340\) | −7.82032 | − | 12.1101i | −0.424116 | − | 0.656760i | ||||
\(341\) | 11.7160 | − | 12.6269i | 0.634458 | − | 0.683783i | ||||
\(342\) | 2.06753 | − | 4.58170i | 0.111799 | − | 0.247750i | ||||
\(343\) | 16.2902 | + | 8.81068i | 0.879590 | + | 0.475732i | ||||
\(344\) | 0.565170 | + | 1.83291i | 0.0304719 | + | 0.0988238i | ||||
\(345\) | −0.301621 | − | 0.279864i | −0.0162388 | − | 0.0150674i | ||||
\(346\) | 27.2964 | + | 17.6312i | 1.46746 | + | 0.947859i | ||||
\(347\) | 2.03847 | − | 0.152762i | 0.109431 | − | 0.00820069i | −0.0199022 | − | 0.999802i | \(-0.506335\pi\) |
0.129333 | + | 0.991601i | \(0.458716\pi\) | |||||||
\(348\) | 1.90483 | − | 3.71487i | 0.102109 | − | 0.199138i | ||||
\(349\) | 13.1086 | − | 10.4538i | 0.701687 | − | 0.559577i | −0.206344 | − | 0.978480i | \(-0.566157\pi\) |
0.908031 | + | 0.418902i | \(0.137585\pi\) | |||||||
\(350\) | 12.1726 | + | 0.799263i | 0.650653 | + | 0.0427224i | ||||
\(351\) | −3.33151 | − | 2.65679i | −0.177823 | − | 0.141809i | ||||
\(352\) | 17.4599 | − | 15.4031i | 0.930617 | − | 0.820989i | ||||
\(353\) | −18.3996 | − | 7.22129i | −0.979309 | − | 0.384351i | −0.178941 | − | 0.983860i | \(-0.557267\pi\) |
−0.800368 | + | 0.599509i | \(0.795362\pi\) | |||||||
\(354\) | −0.124932 | + | 0.996658i | −0.00664008 | + | 0.0529718i | ||||
\(355\) | −2.97186 | + | 39.6568i | −0.157730 | + | 2.10476i | ||||
\(356\) | −13.4545 | − | 24.7107i | −0.713089 | − | 1.30967i | ||||
\(357\) | −6.13783 | − | 2.52058i | −0.324848 | − | 0.133403i | ||||
\(358\) | 5.61835 | − | 27.7875i | 0.296939 | − | 1.46861i | ||||
\(359\) | 1.68139 | + | 11.1553i | 0.0887403 | + | 0.588754i | 0.988366 | + | 0.152092i | \(0.0486011\pi\) |
−0.899626 | + | 0.436661i | \(0.856161\pi\) | |||||||
\(360\) | 2.39690 | − | 7.76769i | 0.126327 | − | 0.409393i | ||||
\(361\) | 3.18332 | + | 5.51368i | 0.167543 | + | 0.290194i | ||||
\(362\) | 15.9726 | − | 11.4827i | 0.839500 | − | 0.603515i | ||||
\(363\) | 5.35246 | − | 2.57761i | 0.280931 | − | 0.135289i | ||||
\(364\) | −18.0982 | − | 13.4486i | −0.948602 | − | 0.704901i | ||||
\(365\) | −32.8855 | − | 15.8368i | −1.72130 | − | 0.828936i | ||||
\(366\) | −11.5121 | + | 2.02949i | −0.601749 | + | 0.106083i | ||||
\(367\) | −14.0298 | + | 13.0178i | −0.732351 | + | 0.679522i | −0.955410 | − | 0.295283i | \(-0.904586\pi\) |
0.223059 | + | 0.974805i | \(0.428396\pi\) | |||||||
\(368\) | −0.465004 | + | 0.334218i | −0.0242400 | + | 0.0174223i | ||||
\(369\) | 4.14246 | + | 6.07587i | 0.215648 | + | 0.316297i | ||||
\(370\) | 7.44751 | + | 8.87622i | 0.387178 | + | 0.461453i | ||||
\(371\) | 31.7399 | − | 14.6771i | 1.64785 | − | 0.761998i | ||||
\(372\) | −7.71250 | − | 3.25172i | −0.399875 | − | 0.168594i | ||||
\(373\) | 17.0959 | − | 29.6109i | 0.885190 | − | 1.53319i | 0.0396947 | − | 0.999212i | \(-0.487361\pi\) |
0.845495 | − | 0.533983i | \(-0.179305\pi\) | |||||||
\(374\) | −14.5254 | + | 1.45298i | −0.751088 | + | 0.0751316i | ||||
\(375\) | −2.81666 | + | 4.13128i | −0.145452 | + | 0.213338i | ||||
\(376\) | −14.0235 | + | 6.75159i | −0.723208 | + | 0.348186i | ||||
\(377\) | −8.67167 | + | 1.97925i | −0.446614 | + | 0.101937i | ||||
\(378\) | −1.13584 | − | 3.56509i | −0.0584212 | − | 0.183368i | ||||
\(379\) | 25.3759 | + | 5.79189i | 1.30347 | + | 0.297509i | 0.817229 | − | 0.576314i | \(-0.195509\pi\) |
0.486244 | + | 0.873823i | \(0.338367\pi\) | |||||||
\(380\) | −12.3351 | − | 16.2869i | −0.632778 | − | 0.835503i | ||||
\(381\) | 4.03086 | + | 13.0677i | 0.206507 | + | 0.669480i | ||||
\(382\) | 0.551949 | − | 0.538319i | 0.0282402 | − | 0.0275428i | ||||
\(383\) | −8.16656 | − | 2.51905i | −0.417292 | − | 0.128717i | 0.0789973 | − | 0.996875i | \(-0.474828\pi\) |
−0.496289 | + | 0.868157i | \(0.665304\pi\) | |||||||
\(384\) | −9.93464 | − | 5.41322i | −0.506975 | − | 0.276242i | ||||
\(385\) | 16.0715 | − | 26.8562i | 0.819082 | − | 1.36872i | ||||
\(386\) | 12.4992 | − | 3.18223i | 0.636193 | − | 0.161971i | ||||
\(387\) | 0.631261 | − | 0.247752i | 0.0320888 | − | 0.0125939i | ||||
\(388\) | −2.77635 | − | 2.70835i | −0.140948 | − | 0.137495i | ||||
\(389\) | 19.8996 | + | 2.99938i | 1.00895 | + | 0.152074i | 0.632661 | − | 0.774429i | \(-0.281963\pi\) |
0.376287 | + | 0.926503i | \(0.377201\pi\) | |||||||
\(390\) | −15.9599 | + | 6.72702i | −0.808162 | + | 0.340636i | ||||
\(391\) | 0.359036 | 0.0181572 | ||||||||
\(392\) | −6.65055 | − | 18.6486i | −0.335903 | − | 0.941896i | ||||
\(393\) | 1.99941 | 0.100857 | ||||||||
\(394\) | −15.0249 | + | 6.33290i | −0.756941 | + | 0.319047i | ||||
\(395\) | −2.63547 | − | 0.397233i | −0.132605 | − | 0.0199870i | ||||
\(396\) | −5.89250 | − | 5.74818i | −0.296109 | − | 0.288857i | ||||
\(397\) | −6.66837 | + | 2.61714i | −0.334676 | + | 0.131351i | −0.526728 | − | 0.850034i | \(-0.676581\pi\) |
0.192052 | + | 0.981385i | \(0.438486\pi\) | |||||||
\(398\) | −1.55982 | + | 0.397122i | −0.0781868 | + | 0.0199059i | ||||
\(399\) | −8.94159 | − | 2.91228i | −0.447640 | − | 0.145796i | ||||
\(400\) | −9.10447 | − | 9.33693i | −0.455224 | − | 0.466846i | ||||
\(401\) | 11.7544 | + | 3.62574i | 0.586985 | + | 0.181061i | 0.574001 | − | 0.818855i | \(-0.305391\pi\) |
0.0129846 | + | 0.999916i | \(0.495867\pi\) | |||||||
\(402\) | −15.5122 | + | 15.1291i | −0.773677 | + | 0.754571i | ||||
\(403\) | 5.25634 | + | 17.0406i | 0.261837 | + | 0.848854i | ||||
\(404\) | −3.18157 | − | 4.20085i | −0.158289 | − | 0.209000i | ||||
\(405\) | −2.80201 | − | 0.639540i | −0.139233 | − | 0.0317790i | ||||
\(406\) | −7.29641 | − | 2.78616i | −0.362115 | − | 0.138275i | ||||
\(407\) | 11.4390 | − | 2.61088i | 0.567011 | − | 0.129417i | ||||
\(408\) | 3.07703 | + | 6.39122i | 0.152336 | + | 0.316412i | ||||
\(409\) | −16.5254 | + | 24.2383i | −0.817129 | + | 1.19851i | 0.160264 | + | 0.987074i | \(0.448766\pi\) |
−0.977392 | + | 0.211434i | \(0.932187\pi\) | |||||||
\(410\) | 29.7408 | − | 2.97498i | 1.46880 | − | 0.146924i | ||||
\(411\) | 1.90717 | − | 3.30332i | 0.0940739 | − | 0.162941i | ||||
\(412\) | 21.2288 | + | 8.95041i | 1.04587 | + | 0.440955i | ||||
\(413\) | 1.87894 | + | 0.0294373i | 0.0924565 | + | 0.00144852i | ||||
\(414\) | 0.130135 | + | 0.155100i | 0.00639580 | + | 0.00762275i | ||||
\(415\) | −24.9248 | − | 36.5579i | −1.22351 | − | 1.79456i | ||||
\(416\) | 4.77220 | + | 23.6277i | 0.233976 | + | 1.15844i | ||||
\(417\) | 12.5311 | − | 11.6271i | 0.613650 | − | 0.569384i | ||||
\(418\) | −20.3749 | + | 3.59192i | −0.996568 | + | 0.175686i | ||||
\(419\) | −16.6493 | − | 8.01786i | −0.813370 | − | 0.391698i | −0.0195179 | − | 0.999810i | \(-0.506213\pi\) |
−0.793852 | + | 0.608111i | \(0.791927\pi\) | |||||||
\(420\) | −14.9337 | − | 2.87619i | −0.728689 | − | 0.140344i | ||||
\(421\) | −22.7977 | + | 10.9788i | −1.11109 | + | 0.535075i | −0.897130 | − | 0.441767i | \(-0.854352\pi\) |
−0.213964 | + | 0.976842i | \(0.568638\pi\) | |||||||
\(422\) | 13.6848 | − | 9.83799i | 0.666166 | − | 0.478906i | ||||
\(423\) | 2.75138 | + | 4.76553i | 0.133777 | + | 0.231708i | ||||
\(424\) | −35.7216 | − | 11.0227i | −1.73479 | − | 0.535309i | ||||
\(425\) | 1.21862 | + | 8.08504i | 0.0591120 | + | 0.392182i | ||||
\(426\) | 3.87803 | − | 19.1801i | 0.187891 | − | 0.929279i | ||||
\(427\) | 6.11795 | + | 20.9962i | 0.296068 | + | 1.01608i | ||||
\(428\) | 8.70900 | + | 15.9950i | 0.420965 | + | 0.773149i | ||||
\(429\) | −1.31066 | + | 17.4896i | −0.0632793 | + | 0.844404i | ||||
\(430\) | 0.342826 | − | 2.73492i | 0.0165325 | − | 0.131890i | ||||
\(431\) | −1.98869 | − | 0.780502i | −0.0957917 | − | 0.0375955i | 0.316961 | − | 0.948438i | \(-0.397337\pi\) |
−0.412753 | + | 0.910843i | \(0.635433\pi\) | |||||||
\(432\) | −1.64565 | + | 3.64580i | −0.0791764 | + | 0.175408i | ||||
\(433\) | −16.7918 | − | 13.3910i | −0.806963 | − | 0.643531i | 0.130566 | − | 0.991440i | \(-0.458321\pi\) |
−0.937529 | + | 0.347908i | \(0.886892\pi\) | |||||||
\(434\) | −4.47716 | + | 15.0051i | −0.214910 | + | 0.720267i | ||||
\(435\) | −4.69042 | + | 3.74049i | −0.224889 | + | 0.179343i | ||||
\(436\) | 16.5589 | − | 32.2938i | 0.793026 | − | 1.54659i | ||||
\(437\) | 0.507427 | − | 0.0380264i | 0.0242735 | − | 0.00181905i | ||||
\(438\) | 15.0867 | + | 9.74478i | 0.720872 | + | 0.465624i | ||||
\(439\) | 7.72380 | + | 7.16664i | 0.368637 | + | 0.342045i | 0.842639 | − | 0.538478i | \(-0.181001\pi\) |
−0.474002 | + | 0.880524i | \(0.657191\pi\) | |||||||
\(440\) | −31.9732 | + | 9.85881i | −1.52426 | + | 0.470000i | ||||
\(441\) | −6.39883 | + | 2.83813i | −0.304706 | + | 0.135149i | ||||
\(442\) | 6.21625 | − | 13.7754i | 0.295677 | − | 0.655227i | ||||
\(443\) | 8.17189 | − | 8.80721i | 0.388258 | − | 0.418443i | −0.508431 | − | 0.861102i | \(-0.669774\pi\) |
0.896690 | + | 0.442659i | \(0.145965\pi\) | |||||||
\(444\) | −3.09293 | − | 4.78952i | −0.146784 | − | 0.227300i | ||||
\(445\) | 3.02154 | + | 40.3196i | 0.143235 | + | 1.91133i | ||||
\(446\) | −7.99733 | − | 0.399406i | −0.378685 | − | 0.0189124i | ||||
\(447\) | 8.23845 | + | 10.3307i | 0.389665 | + | 0.488625i | ||||
\(448\) | −8.04456 | + | 19.5777i | −0.380070 | + | 0.924958i | ||||
\(449\) | −10.9082 | + | 13.6784i | −0.514789 | + | 0.645524i | −0.969493 | − | 0.245118i | \(-0.921173\pi\) |
0.454705 | + | 0.890642i | \(0.349745\pi\) | |||||||
\(450\) | −3.05096 | + | 3.45692i | −0.143824 | + | 0.162961i | ||||
\(451\) | 11.0578 | − | 28.1748i | 0.520691 | − | 1.32670i | ||||
\(452\) | −4.67649 | − | 2.85818i | −0.219963 | − | 0.134438i | ||||
\(453\) | −23.6961 | − | 1.77577i | −1.11334 | − | 0.0834332i | ||||
\(454\) | −1.94584 | − | 1.47402i | −0.0913227 | − | 0.0691792i | ||||
\(455\) | 15.7595 | + | 28.3115i | 0.738818 | + | 1.32726i | ||||
\(456\) | 5.02570 | + | 8.70685i | 0.235350 | + | 0.407735i | ||||
\(457\) | −17.8452 | + | 2.68974i | −0.834766 | + | 0.125821i | −0.552497 | − | 0.833515i | \(-0.686325\pi\) |
−0.282268 | + | 0.959335i | \(0.591087\pi\) | |||||||
\(458\) | −16.9320 | − | 27.7101i | −0.791180 | − | 1.29481i | ||||
\(459\) | 2.17189 | − | 1.25394i | 0.101375 | − | 0.0585289i | ||||
\(460\) | 0.806614 | − | 0.163003i | 0.0376086 | − | 0.00760004i | ||||
\(461\) | 3.36476 | + | 6.98699i | 0.156712 | + | 0.325417i | 0.964511 | − | 0.264041i | \(-0.0850556\pi\) |
−0.807799 | + | 0.589458i | \(0.799341\pi\) | |||||||
\(462\) | −9.49039 | + | 12.1286i | −0.441533 | + | 0.564275i | ||||
\(463\) | 9.53941 | − | 19.8088i | 0.443334 | − | 0.920592i | −0.552847 | − | 0.833283i | \(-0.686459\pi\) |
0.996181 | − | 0.0873098i | \(-0.0278270\pi\) | |||||||
\(464\) | 3.80812 | + | 7.43054i | 0.176788 | + | 0.344954i | ||||
\(465\) | 8.18107 | + | 8.81710i | 0.379388 | + | 0.408883i | ||||
\(466\) | −10.3498 | − | 30.8082i | −0.479446 | − | 1.42716i | ||||
\(467\) | −24.7068 | + | 16.8448i | −1.14329 | + | 0.779484i | −0.978378 | − | 0.206824i | \(-0.933687\pi\) |
−0.164915 | + | 0.986308i | \(0.552735\pi\) | |||||||
\(468\) | 8.20396 | − | 2.30763i | 0.379228 | − | 0.106670i | ||||
\(469\) | 31.2939 | + | 25.7683i | 1.44502 | + | 1.18987i | ||||
\(470\) | 22.3593 | − | 0.556835i | 1.03136 | − | 0.0256849i | ||||
\(471\) | −11.7761 | − | 6.79895i | −0.542615 | − | 0.313279i | ||||
\(472\) | −1.47250 | − | 1.36656i | −0.0677772 | − | 0.0629011i | ||||
\(473\) | −2.30617 | − | 1.57232i | −0.106038 | − | 0.0722952i | ||||
\(474\) | 1.26243 | + | 0.355239i | 0.0579852 | + | 0.0163167i | ||||
\(475\) | 2.57860 | + | 11.2976i | 0.118314 | + | 0.518368i | ||||
\(476\) | 11.2594 | − | 7.02355i | 0.516075 | − | 0.321924i | ||||
\(477\) | −2.94108 | + | 12.8857i | −0.134663 | + | 0.589996i | ||||
\(478\) | 5.30614 | − | 9.74291i | 0.242697 | − | 0.445630i | ||||
\(479\) | 26.0234 | − | 8.02715i | 1.18904 | − | 0.366770i | 0.363759 | − | 0.931493i | \(-0.381493\pi\) |
0.825280 | + | 0.564723i | \(0.191017\pi\) | |||||||
\(480\) | 9.81453 | + | 12.9616i | 0.447970 | + | 0.591614i | ||||
\(481\) | −3.58046 | + | 11.6076i | −0.163255 | + | 0.529260i | ||||
\(482\) | 16.0235 | − | 8.21409i | 0.729852 | − | 0.374142i | ||||
\(483\) | 0.261949 | − | 0.273591i | 0.0119191 | − | 0.0124488i | ||||
\(484\) | −2.06402 | + | 11.7009i | −0.0938190 | + | 0.531860i | ||||
\(485\) | 2.03627 | + | 5.18834i | 0.0924625 | + | 0.235590i | ||||
\(486\) | 1.32891 | + | 0.483735i | 0.0602806 | + | 0.0219427i | ||||
\(487\) | 2.78920 | − | 18.5051i | 0.126391 | − | 0.838548i | −0.832347 | − | 0.554255i | \(-0.813003\pi\) |
0.958738 | − | 0.284293i | \(-0.0917588\pi\) | |||||||
\(488\) | 10.1461 | − | 21.0630i | 0.459292 | − | 0.953477i | ||||
\(489\) | 5.84546i | 0.264341i | ||||||||
\(490\) | −2.30867 | + | 28.3580i | −0.104295 | + | 1.28108i | ||||
\(491\) | − | 27.2493i | − | 1.22974i | −0.788627 | − | 0.614872i | \(-0.789208\pi\) | ||
0.788627 | − | 0.614872i | \(-0.210792\pi\) | |||||||
\(492\) | −14.7027 | − | 0.367677i | −0.662849 | − | 0.0165762i | ||||
\(493\) | 0.780222 | − | 5.17644i | 0.0351395 | − | 0.233135i | ||||
\(494\) | 7.32648 | − | 20.1272i | 0.329634 | − | 0.905564i | ||||
\(495\) | 4.32178 | + | 11.0117i | 0.194249 | + | 0.494939i | ||||
\(496\) | 14.2852 | − | 8.72682i | 0.641426 | − | 0.391846i | ||||
\(497\) | −36.4591 | − | 3.30732i | −1.63541 | − | 0.148354i | ||||
\(498\) | 9.93185 | + | 19.3744i | 0.445057 | + | 0.868189i | ||||
\(499\) | 7.47292 | − | 24.2266i | 0.334534 | − | 1.08453i | −0.619541 | − | 0.784964i | \(-0.712681\pi\) |
0.954075 | − | 0.299568i | \(-0.0968426\pi\) | |||||||
\(500\) | −3.41963 | − | 9.39736i | −0.152930 | − | 0.420263i | ||||
\(501\) | −12.0525 | + | 3.71771i | −0.538467 | + | 0.166095i | ||||
\(502\) | 3.19740 | + | 1.74135i | 0.142707 | + | 0.0777204i | ||||
\(503\) | −2.42338 | + | 10.6175i | −0.108053 | + | 0.473412i | 0.891729 | + | 0.452569i | \(0.149492\pi\) |
−0.999783 | + | 0.0208435i | \(0.993365\pi\) | |||||||
\(504\) | 7.11518 | + | 2.31823i | 0.316935 | + | 0.103262i | ||||
\(505\) | 1.68509 | + | 7.38285i | 0.0749854 | + | 0.328533i | ||||
\(506\) | 0.225725 | − | 0.802167i | 0.0100347 | − | 0.0356607i | ||||
\(507\) | −4.26133 | − | 2.90533i | −0.189252 | − | 0.129030i | ||||
\(508\) | −25.9258 | − | 8.71258i | −1.15027 | − | 0.386558i | ||||
\(509\) | 14.9562 | + | 8.63495i | 0.662920 | + | 0.382737i | 0.793389 | − | 0.608715i | \(-0.208315\pi\) |
−0.130468 | + | 0.991452i | \(0.541648\pi\) | |||||||
\(510\) | −0.253777 | − | 10.1902i | −0.0112374 | − | 0.451231i | ||||
\(511\) | 15.0512 | − | 30.0409i | 0.665824 | − | 1.32893i | ||||
\(512\) | 20.3896 | − | 9.81134i | 0.901103 | − | 0.433604i | ||||
\(513\) | 2.93674 | − | 2.00223i | 0.129660 | − | 0.0884007i | ||||
\(514\) | 4.07466 | − | 1.36886i | 0.179726 | − | 0.0603777i | ||||
\(515\) | −22.5185 | − | 24.2692i | −0.992285 | − | 1.06943i | ||||
\(516\) | −0.334762 | + | 1.31431i | −0.0147371 | + | 0.0578594i | ||||
\(517\) | 9.82700 | − | 20.4060i | 0.432191 | − | 0.897453i | ||||
\(518\) | −8.27749 | + | 6.72704i | −0.363692 | + | 0.295569i | ||||
\(519\) | 9.96965 | + | 20.7022i | 0.437619 | + | 0.908726i | ||||
\(520\) | 7.71148 | − | 33.7701i | 0.338171 | − | 1.48092i | ||||
\(521\) | −25.1685 | + | 14.5310i | −1.10265 | + | 0.636616i | −0.936916 | − | 0.349554i | \(-0.886333\pi\) |
−0.165735 | + | 0.986170i | \(0.553000\pi\) | |||||||
\(522\) | 2.51897 | − | 1.53919i | 0.110252 | − | 0.0673686i | ||||
\(523\) | −2.23559 | + | 0.336961i | −0.0977555 | + | 0.0147343i | −0.197738 | − | 0.980255i | \(-0.563359\pi\) |
0.0999823 | + | 0.994989i | \(0.468121\pi\) | |||||||
\(524\) | −2.33451 | + | 3.24663i | −0.101983 | + | 0.141830i | ||||
\(525\) | 7.05003 | + | 4.97017i | 0.307688 | + | 0.216916i | ||||
\(526\) | 24.0179 | − | 31.7058i | 1.04723 | − | 1.38244i | ||||
\(527\) | −10.4661 | − | 0.784326i | −0.455910 | − | 0.0341658i | ||||
\(528\) | 16.2139 | − | 2.85665i | 0.705621 | − | 0.124320i | ||||
\(529\) | 8.39536 | − | 21.3910i | 0.365015 | − | 0.930044i | ||||
\(530\) | 40.2781 | + | 35.5481i | 1.74957 | + | 1.54411i | ||||
\(531\) | −0.442839 | + | 0.555303i | −0.0192176 | + | 0.0240981i | ||||
\(532\) | 15.1691 | − | 11.1189i | 0.657666 | − | 0.482067i | ||||
\(533\) | 19.5371 | + | 24.4988i | 0.846247 | + | 1.06116i | ||||
\(534\) | 0.992383 | − | 19.8705i | 0.0429446 | − | 0.859882i | ||||
\(535\) | −1.95581 | − | 26.0985i | −0.0845571 | − | 1.12834i | ||||
\(536\) | −6.45457 | − | 42.8533i | −0.278795 | − | 1.85098i | ||||
\(537\) | 13.6349 | − | 14.6950i | 0.588391 | − | 0.634135i | ||||
\(538\) | −20.5593 | − | 9.27756i | −0.886374 | − | 0.399984i | ||||
\(539\) | 24.4879 | + | 15.1803i | 1.05477 | + | 0.653861i | ||||
\(540\) | 4.31011 | − | 3.80316i | 0.185477 | − | 0.163662i | ||||
\(541\) | −25.7150 | − | 23.8600i | −1.10557 | − | 1.02582i | −0.999505 | − | 0.0314630i | \(-0.989983\pi\) |
−0.106068 | − | 0.994359i | \(-0.533826\pi\) | |||||||
\(542\) | 23.7293 | − | 36.7374i | 1.01926 | − | 1.57801i | ||||
\(543\) | 13.8711 | − | 1.03949i | 0.595265 | − | 0.0446089i | ||||
\(544\) | −13.9708 | − | 2.46591i | −0.598992 | − | 0.105725i | ||||
\(545\) | −40.7743 | + | 32.5165i | −1.74658 | + | 1.39285i | ||||
\(546\) | −5.96171 | − | 14.7873i | −0.255138 | − | 0.632836i | ||||
\(547\) | −1.12437 | − | 0.896654i | −0.0480746 | − | 0.0383382i | 0.599158 | − | 0.800631i | \(-0.295502\pi\) |
−0.647232 | + | 0.762293i | \(0.724074\pi\) | |||||||
\(548\) | 3.13710 | + | 6.95382i | 0.134010 | + | 0.297052i | ||||
\(549\) | −7.69445 | − | 3.01985i | −0.328391 | − | 0.128884i | ||||
\(550\) | 18.8300 | + | 2.36036i | 0.802913 | + | 0.100646i | ||||
\(551\) | 0.554443 | − | 7.39853i | 0.0236201 | − | 0.315188i | ||||
\(552\) | −0.403797 | + | 0.0302184i | −0.0171867 | + | 0.00128618i | ||||
\(553\) | 0.403637 | − | 2.42008i | 0.0171644 | − | 0.102912i | ||||
\(554\) | −13.0559 | − | 2.63977i | −0.554691 | − | 0.112153i | ||||
\(555\) | 1.22111 | + | 8.10156i | 0.0518334 | + | 0.343892i | ||||
\(556\) | 4.24882 | + | 33.9238i | 0.180190 | + | 1.43869i | ||||
\(557\) | −14.6146 | − | 25.3133i | −0.619241 | − | 1.07256i | −0.989624 | − | 0.143678i | \(-0.954107\pi\) |
0.370383 | − | 0.928879i | \(-0.379226\pi\) | |||||||
\(558\) | −3.45470 | − | 4.80554i | −0.146249 | − | 0.203435i | ||||
\(559\) | 2.60349 | − | 1.25378i | 0.110116 | − | 0.0530290i | ||||
\(560\) | 22.1069 | − | 20.8910i | 0.934187 | − | 0.882807i | ||||
\(561\) | −9.30001 | − | 4.47865i | −0.392647 | − | 0.189089i | ||||
\(562\) | 5.04195 | + | 28.6001i | 0.212682 | + | 1.20642i | ||||
\(563\) | −28.8114 | + | 26.7331i | −1.21426 | + | 1.12666i | −0.225957 | + | 0.974137i | \(0.572551\pi\) |
−0.988299 | + | 0.152528i | \(0.951259\pi\) | |||||||
\(564\) | −10.9508 | − | 1.09655i | −0.461110 | − | 0.0461731i | ||||
\(565\) | 4.43673 | + | 6.50749i | 0.186655 | + | 0.273772i | ||||
\(566\) | 6.87278 | − | 5.76654i | 0.288884 | − | 0.242386i | ||||
\(567\) | 0.629070 | − | 2.56988i | 0.0264184 | − | 0.107925i | ||||
\(568\) | 26.6166 | + | 28.6918i | 1.11681 | + | 1.20388i | ||||
\(569\) | 0.983050 | − | 1.70269i | 0.0412116 | − | 0.0713806i | −0.844684 | − | 0.535266i | \(-0.820212\pi\) |
0.885895 | + | 0.463885i | \(0.153545\pi\) | |||||||
\(570\) | −1.43794 | − | 14.3751i | −0.0602287 | − | 0.602105i | ||||
\(571\) | 5.20661 | − | 7.63670i | 0.217890 | − | 0.319586i | −0.701695 | − | 0.712478i | \(-0.747573\pi\) |
0.919585 | + | 0.392892i | \(0.128525\pi\) | |||||||
\(572\) | −26.8691 | − | 22.5490i | −1.12345 | − | 0.942823i | ||||
\(573\) | 0.531508 | − | 0.121313i | 0.0222041 | − | 0.00506793i | ||||
\(574\) | 2.30943 | + | 27.4178i | 0.0963939 | + | 1.14440i | ||||
\(575\) | −0.455047 | − | 0.103862i | −0.0189768 | − | 0.00433132i | ||||
\(576\) | −3.99857 | − | 6.92903i | −0.166607 | − | 0.288710i | ||||
\(577\) | −8.08136 | − | 26.1991i | −0.336431 | − | 1.09068i | −0.952895 | − | 0.303300i | \(-0.901911\pi\) |
0.616464 | − | 0.787383i | \(-0.288565\pi\) | |||||||
\(578\) | −10.5758 | − | 10.8436i | −0.439895 | − | 0.451034i | ||||
\(579\) | 8.71503 | + | 2.68823i | 0.362184 | + | 0.111719i | ||||
\(580\) | −0.597253 | − | 11.9837i | −0.0247996 | − | 0.497595i | ||||
\(581\) | 34.0091 | − | 22.4147i | 1.41093 | − | 0.929920i | ||||
\(582\) | −0.676655 | − | 2.65777i | −0.0280482 | − | 0.110168i | ||||
\(583\) | 50.6399 | − | 19.8747i | 2.09729 | − | 0.823126i | ||||
\(584\) | −33.4388 | + | 13.1198i | −1.38371 | + | 0.542900i | ||||
\(585\) | −12.1101 | − | 1.82530i | −0.500690 | − | 0.0754669i | ||||
\(586\) | −12.8373 | − | 30.4565i | −0.530302 | − | 1.25815i | ||||
\(587\) | −1.64453 | −0.0678769 | −0.0339384 | − | 0.999424i | \(-0.510805\pi\) | ||||
−0.0339384 | + | 0.999424i | \(0.510805\pi\) | |||||||
\(588\) | 2.86273 | − | 13.7042i | 0.118057 | − | 0.565151i | ||||
\(589\) | −14.8749 | −0.612908 | ||||||||
\(590\) | 1.12127 | + | 2.66023i | 0.0461621 | + | 0.109520i | ||||
\(591\) | −11.4006 | − | 1.71836i | −0.468957 | − | 0.0706839i | ||||
\(592\) | 11.3885 | + | 0.569950i | 0.468064 | + | 0.0234248i | ||||
\(593\) | 37.5272 | − | 14.7283i | 1.54106 | − | 0.604820i | 0.565535 | − | 0.824724i | \(-0.308670\pi\) |
0.975521 | + | 0.219904i | \(0.0705745\pi\) | |||||||
\(594\) | −1.43613 | − | 5.64084i | −0.0589250 | − | 0.231447i | ||||
\(595\) | −18.8993 | + | 2.54651i | −0.774797 | + | 0.104397i | ||||
\(596\) | −26.3941 | + | 1.31545i | −1.08115 | + | 0.0538830i | ||||
\(597\) | −1.08758 | − | 0.335474i | −0.0445117 | − | 0.0137300i | ||||
\(598\) | 0.602367 | + | 0.617619i | 0.0246326 | + | 0.0252563i | ||||
\(599\) | 9.62243 | + | 31.1952i | 0.393162 | + | 1.27460i | 0.908598 | + | 0.417671i | \(0.137154\pi\) |
−0.515436 | + | 0.856928i | \(0.672370\pi\) | |||||||
\(600\) | −2.05103 | − | 8.99044i | −0.0837330 | − | 0.367033i | ||||
\(601\) | 34.2718 | + | 7.82231i | 1.39797 | + | 0.319079i | 0.854109 | − | 0.520094i | \(-0.174103\pi\) |
0.543865 | + | 0.839172i | \(0.316960\pi\) | |||||||
\(602\) | 2.51241 | + | 0.354992i | 0.102398 | + | 0.0144684i | ||||
\(603\) | −14.9377 | + | 3.40943i | −0.608310 | + | 0.138843i | ||||
\(604\) | 30.5510 | − | 36.4042i | 1.24310 | − | 1.48126i | ||||
\(605\) | 9.61825 | − | 14.1074i | 0.391037 | − | 0.573546i | ||||
\(606\) | −0.370885 | − | 3.70772i | −0.0150662 | − | 0.150616i | ||||
\(607\) | 4.62803 | − | 8.01599i | 0.187846 | − | 0.325359i | −0.756686 | − | 0.653779i | \(-0.773183\pi\) |
0.944532 | + | 0.328420i | \(0.106516\pi\) | |||||||
\(608\) | −20.0061 | − | 2.00540i | −0.811356 | − | 0.0813297i | ||||
\(609\) | −3.37528 | − | 4.37123i | −0.136773 | − | 0.177131i | ||||
\(610\) | −25.7375 | + | 21.5948i | −1.04208 | + | 0.874347i | ||||
\(611\) | 13.2088 | + | 19.3738i | 0.534372 | + | 0.783779i | ||||
\(612\) | −0.499753 | + | 4.99080i | −0.0202013 | + | 0.201741i | ||||
\(613\) | −13.6483 | + | 12.6638i | −0.551251 | + | 0.511486i | −0.905888 | − | 0.423518i | \(-0.860795\pi\) |
0.354637 | + | 0.935004i | \(0.384604\pi\) | |||||||
\(614\) | −1.32919 | − | 7.53975i | −0.0536419 | − | 0.304280i | ||||
\(615\) | 19.0419 | + | 9.17009i | 0.767843 | + | 0.369774i | ||||
\(616\) | −8.61344 | − | 29.5718i | −0.347045 | − | 1.19148i | ||||
\(617\) | −12.9670 | + | 6.24457i | −0.522031 | + | 0.251397i | −0.676293 | − | 0.736633i | \(-0.736414\pi\) |
0.154261 | + | 0.988030i | \(0.450700\pi\) | |||||||
\(618\) | 9.50911 | + | 13.2273i | 0.382513 | + | 0.532081i | ||||
\(619\) | −4.06071 | − | 7.03336i | −0.163214 | − | 0.282695i | 0.772806 | − | 0.634643i | \(-0.218853\pi\) |
−0.936020 | + | 0.351948i | \(0.885519\pi\) | |||||||
\(620\) | −23.8694 | + | 2.98955i | −0.958617 | + | 0.120063i | ||||
\(621\) | 0.0213373 | + | 0.141564i | 0.000856237 | + | 0.00568076i | ||||
\(622\) | 33.2034 | + | 6.71341i | 1.33134 | + | 0.269183i | ||||
\(623\) | −37.1556 | + | 2.19973i | −1.48861 | + | 0.0881303i | ||||
\(624\) | −5.83182 | + | 16.0159i | −0.233460 | + | 0.641150i | ||||
\(625\) | −2.29212 | + | 30.5862i | −0.0916848 | + | 1.22345i | ||||
\(626\) | −5.01171 | − | 0.628225i | −0.200308 | − | 0.0251089i | ||||
\(627\) | −13.6181 | − | 5.34471i | −0.543855 | − | 0.213447i | ||||
\(628\) | 24.7899 | − | 11.1836i | 0.989224 | − | 0.446273i | ||||
\(629\) | −5.58946 | − | 4.45745i | −0.222866 | − | 0.177730i | ||||
\(630\) | −7.95028 | − | 7.24133i | −0.316747 | − | 0.288502i | ||||
\(631\) | 23.4814 | − | 18.7258i | 0.934778 | − | 0.745461i | −0.0324223 | − | 0.999474i | \(-0.510322\pi\) |
0.967201 | + | 0.254013i | \(0.0817507\pi\) | |||||||
\(632\) | −2.05084 | + | 1.63515i | −0.0815782 | + | 0.0650426i | ||||
\(633\) | 11.8843 | − | 0.890606i | 0.472359 | − | 0.0353984i | ||||
\(634\) | −16.4554 | + | 25.4760i | −0.653527 | + | 1.01178i | ||||
\(635\) | 28.8117 | + | 26.7333i | 1.14336 | + | 1.06088i | ||||
\(636\) | −17.4897 | − | 19.8210i | −0.693514 | − | 0.785956i | ||||
\(637\) | −26.2865 | + | 14.0975i | −1.04151 | + | 0.558565i | ||||
\(638\) | −11.0748 | − | 4.99761i | −0.438456 | − | 0.197857i | ||||
\(639\) | 9.41143 | − | 10.1431i | 0.372310 | − | 0.401255i | ||||
\(640\) | −32.5065 | + | 0.802812i | −1.28493 | + | 0.0317339i | ||||
\(641\) | 1.89825 | + | 25.3304i | 0.0749765 | + | 1.00049i | 0.900141 | + | 0.435599i | \(0.143463\pi\) |
−0.825164 | + | 0.564893i | \(0.808918\pi\) | |||||||
\(642\) | −0.642360 | + | 12.8620i | −0.0253519 | + | 0.507623i | ||||
\(643\) | 20.0258 | + | 25.1115i | 0.789739 | + | 0.990302i | 0.999920 | + | 0.0126392i | \(0.00402329\pi\) |
−0.210181 | + | 0.977663i | \(0.567405\pi\) | |||||||
\(644\) | 0.138403 | + | 0.744796i | 0.00545386 | + | 0.0293491i | ||||
\(645\) | 1.21519 | − | 1.52380i | 0.0478481 | − | 0.0599996i | ||||
\(646\) | 9.45154 | + | 8.34162i | 0.371866 | + | 0.328196i | ||||
\(647\) | −4.12549 | + | 10.5116i | −0.162190 | + | 0.413253i | −0.988747 | − | 0.149601i | \(-0.952201\pi\) |
0.826557 | + | 0.562853i | \(0.190296\pi\) | |||||||
\(648\) | −2.33712 | + | 1.59307i | −0.0918108 | + | 0.0625816i | ||||
\(649\) | 2.91519 | + | 0.218464i | 0.114431 | + | 0.00857545i | ||||
\(650\) | −11.8635 | + | 15.6609i | −0.465324 | + | 0.614270i | ||||
\(651\) | −8.23364 | + | 7.40309i | −0.322702 | + | 0.290150i | ||||
\(652\) | −9.49183 | − | 6.82516i | −0.371729 | − | 0.267294i | ||||
\(653\) | 23.5602 | − | 3.55113i | 0.921983 | − | 0.138967i | 0.329137 | − | 0.944282i | \(-0.393242\pi\) |
0.592846 | + | 0.805316i | \(0.298004\pi\) | |||||||
\(654\) | 21.8977 | − | 13.3804i | 0.856267 | − | 0.523213i | ||||
\(655\) | 4.97656 | − | 2.87322i | 0.194450 | − | 0.112266i | ||||
\(656\) | 17.7639 | − | 23.4449i | 0.693564 | − | 0.915369i | ||||
\(657\) | 5.51024 | + | 11.4421i | 0.214975 | + | 0.446400i | ||||
\(658\) | 0.190101 | + | 20.5886i | 0.00741093 | + | 0.802626i | ||||
\(659\) | 13.8148 | − | 28.6868i | 0.538150 | − | 1.11748i | −0.437717 | − | 0.899113i | \(-0.644213\pi\) |
0.975867 | − | 0.218367i | \(-0.0700730\pi\) | |||||||
\(660\) | −22.9269 | − | 5.83958i | −0.892427 | − | 0.227305i | ||||
\(661\) | −28.2128 | − | 30.4062i | −1.09735 | − | 1.18266i | −0.981910 | − | 0.189350i | \(-0.939362\pi\) |
−0.115443 | − | 0.993314i | \(-0.536829\pi\) | |||||||
\(662\) | 16.7220 | − | 5.61765i | 0.649918 | − | 0.218336i | ||||
\(663\) | 8.82959 | − | 6.01992i | 0.342913 | − | 0.233794i | ||||
\(664\) | −43.0565 | − | 6.49428i | −1.67092 | − | 0.252027i | ||||
\(665\) | −26.4408 | + | 5.60067i | −1.02533 | + | 0.217185i | ||||
\(666\) | −0.100369 | − | 4.03023i | −0.00388921 | − | 0.156168i | ||||
\(667\) | 0.258799 | + | 0.149418i | 0.0100207 | + | 0.00578548i | ||||
\(668\) | 8.03571 | − | 23.9116i | 0.310911 | − | 0.925169i | ||||
\(669\) | −4.67818 | − | 3.18953i | −0.180869 | − | 0.123314i | ||||
\(670\) | −16.8690 | + | 59.9481i | −0.651707 | + | 2.31600i | ||||
\(671\) | 7.57050 | + | 33.1685i | 0.292256 | + | 1.28046i | ||||
\(672\) | −12.0720 | + | 8.84684i | −0.465688 | + | 0.341274i | ||||
\(673\) | −2.56749 | + | 11.2489i | −0.0989695 | + | 0.433614i | −1.00000 | 0.000142149i | \(-0.999955\pi\) | |
0.901031 | + | 0.433756i | \(0.142812\pi\) | |||||||
\(674\) | −13.8564 | − | 7.54641i | −0.533729 | − | 0.290677i | ||||
\(675\) | −3.11542 | + | 0.960981i | −0.119913 | + | 0.0369882i | ||||
\(676\) | 9.69319 | − | 3.52728i | 0.372815 | − | 0.135664i | ||||
\(677\) | 9.47494 | − | 30.7170i | 0.364151 | − | 1.18055i | −0.569386 | − | 0.822070i | \(-0.692819\pi\) |
0.933538 | − | 0.358480i | \(-0.116705\pi\) | |||||||
\(678\) | −1.76792 | − | 3.44874i | −0.0678965 | − | 0.132448i | ||||
\(679\) | −4.80496 | + | 1.79946i | −0.184397 | + | 0.0690570i | ||||
\(680\) | 16.8432 | + | 11.4860i | 0.645906 | + | 0.440469i | ||||
\(681\) | −0.630625 | − | 1.60681i | −0.0241656 | − | 0.0615729i | ||||
\(682\) | −8.33237 | + | 22.8905i | −0.319063 | + | 0.876524i | ||||
\(683\) | −7.71238 | + | 51.1683i | −0.295106 | + | 1.95790i | −0.00811658 | + | 0.999967i | \(0.502584\pi\) |
−0.286989 | + | 0.957934i | \(0.592654\pi\) | |||||||
\(684\) | −0.177714 | + | 7.10646i | −0.00679508 | + | 0.271722i | ||||
\(685\) | − | 10.9627i | − | 0.418863i | ||||||
\(686\) | −26.0687 | − | 2.53395i | −0.995309 | − | 0.0967466i | ||||
\(687\) | − | 22.9624i | − | 0.876070i | ||||||
\(688\) | −1.74331 | − | 2.07818i | −0.0664630 | − | 0.0792297i | ||||
\(689\) | −8.39408 | + | 55.6911i | −0.319789 | + | 2.12166i | ||||
\(690\) | 0.546793 | + | 0.199038i | 0.0208160 | + | 0.00757723i | ||||
\(691\) | −13.7562 | − | 35.0503i | −0.523312 | − | 1.33338i | −0.911311 | − | 0.411718i | \(-0.864929\pi\) |
0.387999 | − | 0.921660i | \(-0.373166\pi\) | |||||||
\(692\) | −45.2567 | − | 7.98319i | −1.72040 | − | 0.303475i | ||||
\(693\) | −10.1980 | + | 3.81917i | −0.387390 | + | 0.145078i | ||||
\(694\) | −2.57258 | + | 1.31877i | −0.0976540 | + | 0.0500600i | ||||
\(695\) | 14.4815 | − | 46.9478i | 0.549313 | − | 1.78083i | ||||
\(696\) | −0.441816 | + | 5.88745i | −0.0167470 | + | 0.223163i | ||||
\(697\) | −17.6228 | + | 5.43590i | −0.667510 | + | 0.205899i | ||||
\(698\) | −11.3408 | + | 20.8235i | −0.429256 | + | 0.788182i | ||||
\(699\) | 5.11378 | − | 22.4049i | 0.193421 | − | 0.847432i | ||||
\(700\) | −16.3021 | + | 5.64464i | −0.616163 | + | 0.213347i | ||||
\(701\) | −2.53214 | − | 11.0940i | −0.0956376 | − | 0.419016i | 0.904332 | − | 0.426830i | \(-0.140370\pi\) |
−0.999969 | + | 0.00781440i | \(0.997513\pi\) | |||||||
\(702\) | 5.80090 | + | 1.63234i | 0.218941 | + | 0.0616086i | ||||
\(703\) | −8.37172 | − | 5.70774i | −0.315745 | − | 0.215271i | ||||
\(704\) | −14.2928 | + | 29.6636i | −0.538679 | + | 1.11799i | ||||
\(705\) | 13.6965 | + | 7.90766i | 0.515839 | + | 0.297820i | ||||
\(706\) | 27.9445 | − | 0.695929i | 1.05171 | − | 0.0261916i | ||||
\(707\) | −6.81982 | + | 1.44457i | −0.256486 | + | 0.0543286i | ||||
\(708\) | −0.384640 | − | 1.36745i | −0.0144556 | − | 0.0513920i | ||||
\(709\) | −10.7522 | + | 7.33072i | −0.403807 | + | 0.275311i | −0.748146 | − | 0.663535i | \(-0.769056\pi\) |
0.344339 | + | 0.938845i | \(0.388103\pi\) | |||||||
\(710\) | −17.9100 | − | 53.3124i | −0.672150 | − | 2.00078i | ||||
\(711\) | 0.630751 | + | 0.679788i | 0.0236550 | + | 0.0254940i | ||||
\(712\) | 31.1070 | + | 24.8122i | 1.16578 | + | 0.929878i | ||||
\(713\) | 0.259955 | − | 0.539801i | 0.00973538 | − | 0.0202157i | ||||
\(714\) | 9.38323 | − | 0.0866387i | 0.351159 | − | 0.00324237i | ||||
\(715\) | 21.8708 | + | 45.4153i | 0.817923 | + | 1.69843i | ||||
\(716\) | 7.94149 | + | 39.2982i | 0.296787 | + | 1.46864i | ||||
\(717\) | 6.79373 | − | 3.92236i | 0.253717 | − | 0.146483i | ||||
\(718\) | −8.31859 | − | 13.6138i | −0.310447 | − | 0.508063i | ||||
\(719\) | 15.4682 | − | 2.33146i | 0.576866 | − | 0.0869486i | 0.145872 | − | 0.989303i | \(-0.453401\pi\) |
0.430994 | + | 0.902355i | \(0.358163\pi\) | |||||||
\(720\) | 1.14308 | + | 11.4393i | 0.0426002 | + | 0.426318i | ||||
\(721\) | 22.6632 | − | 20.3771i | 0.844023 | − | 0.758884i | ||||
\(722\) | −7.17703 | − | 5.43678i | −0.267102 | − | 0.202336i | ||||
\(723\) | 12.6967 | + | 0.951489i | 0.472197 | + | 0.0353863i | ||||
\(724\) | −14.5079 | + | 23.7375i | −0.539183 | + | 0.882197i | ||||
\(725\) | −2.48630 | + | 6.33499i | −0.0923389 | + | 0.235276i | ||||
\(726\) | −5.55939 | + | 6.29912i | −0.206328 | + | 0.233782i | ||||
\(727\) | −7.28065 | + | 9.12965i | −0.270024 | + | 0.338600i | −0.898293 | − | 0.439396i | \(-0.855192\pi\) |
0.628269 | + | 0.777996i | \(0.283764\pi\) | |||||||
\(728\) | 30.9724 | + | 7.58499i | 1.14791 | + | 0.281119i | ||||
\(729\) | 0.623490 | + | 0.781831i | 0.0230922 | + | 0.0289567i | ||||
\(730\) | 51.5547 | + | 2.57477i | 1.90812 | + | 0.0952965i | ||||
\(731\) | 0.127093 | + | 1.69594i | 0.00470070 | + | 0.0627264i | ||||
\(732\) | 13.8877 | − | 8.96825i | 0.513303 | − | 0.331476i | ||||
\(733\) | −25.1100 | + | 27.0622i | −0.927461 | + | 0.999565i | 0.0725369 | + | 0.997366i | \(0.476890\pi\) |
−0.999998 | + | 0.00219913i | \(0.999300\pi\) | |||||||
\(734\) | 11.1330 | − | 24.6709i | 0.410925 | − | 0.910620i | ||||
\(735\) | −11.8483 | + | 16.2595i | −0.437031 | + | 0.599740i | ||||
\(736\) | 0.422404 | − | 0.690966i | 0.0155700 | − | 0.0254693i | ||||
\(737\) | 46.2288 | + | 42.8940i | 1.70286 | + | 1.58002i | ||||
\(738\) | −8.73577 | − | 5.64259i | −0.321568 | − | 0.207706i | ||||
\(739\) | 4.27755 | − | 0.320558i | 0.157352 | − | 0.0117919i | 0.00417895 | − | 0.999991i | \(-0.498670\pi\) |
0.153173 | + | 0.988199i | \(0.451051\pi\) | |||||||
\(740\) | −14.5810 | − | 7.47654i | −0.536010 | − | 0.274843i | ||||
\(741\) | 11.8413 | − | 9.44315i | 0.435002 | − | 0.346903i | ||||
\(742\) | −33.3010 | + | 36.5612i | −1.22252 | + | 1.34220i | ||||
\(743\) | −6.44394 | − | 5.13887i | −0.236405 | − | 0.188527i | 0.498120 | − | 0.867108i | \(-0.334024\pi\) |
−0.734525 | + | 0.678581i | \(0.762595\pi\) | |||||||
\(744\) | 11.8369 | + | 0.00122401i | 0.433963 | + | 4.48743e-5i | ||||
\(745\) | 35.3512 | + | 13.8743i | 1.29517 | + | 0.508316i | ||||
\(746\) | −6.01422 | + | 47.9789i | −0.220196 | + | 1.75663i | ||||
\(747\) | −1.15047 | + | 15.3519i | −0.0420934 | + | 0.561698i | ||||
\(748\) | 18.1311 | − | 9.87205i | 0.662939 | − | 0.360958i | ||||
\(749\) | 24.0505 | − | 1.42386i | 0.878786 | − | 0.0520269i | ||||
\(750\) | 1.40137 | − | 6.93097i | 0.0511709 | − | 0.253083i | ||||
\(751\) | −0.886640 | − | 5.88247i | −0.0323539 | − | 0.214654i | 0.966812 | − | 0.255489i | \(-0.0822364\pi\) |
−0.999166 | + | 0.0408345i | \(0.986998\pi\) | |||||||
\(752\) | 14.5667 | − | 16.5015i | 0.531192 | − | 0.601746i | ||||
\(753\) | 1.28723 | + | 2.22955i | 0.0469093 | + | 0.0812492i | ||||
\(754\) | 10.2136 | − | 7.34254i | 0.371957 | − | 0.267400i | ||||
\(755\) | −61.5317 | + | 29.6321i | −2.23937 | + | 1.07842i | ||||
\(756\) | 3.43845 | + | 4.02207i | 0.125055 | + | 0.146281i | ||||
\(757\) | −4.87083 | − | 2.34567i | −0.177033 | − | 0.0852548i | 0.343268 | − | 0.939238i | \(-0.388466\pi\) |
−0.520301 | + | 0.853983i | \(0.674180\pi\) | |||||||
\(758\) | −36.2508 | + | 6.39071i | −1.31669 | + | 0.232121i | ||||
\(759\) | 0.431948 | − | 0.400789i | 0.0156787 | − | 0.0145477i | ||||
\(760\) | 25.0211 | + | 14.4494i | 0.907610 | + | 0.524134i | ||||
\(761\) | 27.9271 | + | 40.9616i | 1.01236 | + | 1.48486i | 0.868768 | + | 0.495219i | \(0.164912\pi\) |
0.143590 | + | 0.989637i | \(0.454135\pi\) | |||||||
\(762\) | −12.4309 | − | 14.8156i | −0.450322 | − | 0.536711i | ||||
\(763\) | −29.3417 | − | 37.9995i | −1.06224 | − | 1.37568i | ||||
\(764\) | −0.423600 | + | 1.00470i | −0.0153253 | + | 0.0363489i | ||||
\(765\) | 3.60391 | − | 6.24216i | 0.130300 | − | 0.225686i | ||||
\(766\) | 12.0262 | − | 1.20298i | 0.434524 | − | 0.0434656i | ||||
\(767\) | −1.70490 | + | 2.50064i | −0.0615605 | + | 0.0902927i | ||||
\(768\) | 15.9201 | + | 1.59748i | 0.574465 | + | 0.0576439i | ||||
\(769\) | −21.1135 | + | 4.81901i | −0.761371 | + | 0.173778i | −0.585541 | − | 0.810643i | \(-0.699118\pi\) |
−0.175830 | + | 0.984421i | \(0.556261\pi\) | |||||||
\(770\) | −6.19248 | + | 43.8263i | −0.223161 | + | 1.57939i | ||||
\(771\) | 2.96326 | + | 0.676344i | 0.106719 | + | 0.0243579i | ||||
\(772\) | −14.5408 | + | 11.0127i | −0.523335 | + | 0.396354i | ||||
\(773\) | −5.95288 | − | 19.2988i | −0.214110 | − | 0.694128i | −0.997373 | − | 0.0724373i | \(-0.976922\pi\) |
0.783263 | − | 0.621691i | \(-0.213554\pi\) | |||||||
\(774\) | −0.686563 | + | 0.669608i | −0.0246780 | + | 0.0240686i | ||||
\(775\) | 13.0380 | + | 4.02169i | 0.468339 | + | 0.144463i | ||||
\(776\) | 5.10574 | + | 2.00447i | 0.183285 | + | 0.0719561i | ||||
\(777\) | −7.47466 | + | 1.00714i | −0.268152 | + | 0.0361310i | ||||
\(778\) | −27.5803 | + | 7.02179i | −0.988801 | + | 0.251743i | ||||
\(779\) | −24.3306 | + | 9.54907i | −0.871735 | + | 0.342131i | ||||
\(780\) | 17.1036 | − | 17.5331i | 0.612409 | − | 0.627785i | ||||
\(781\) | −56.3151 | − | 8.48814i | −2.01511 | − | 0.303730i | ||||
\(782\) | −0.467889 | + | 0.197213i | −0.0167317 | + | 0.00705231i | ||||
\(783\) | 2.08738 | 0.0745970 | ||||||||
\(784\) | 18.9103 | + | 20.6495i | 0.675367 | + | 0.737482i | ||||
\(785\) | −39.0813 | −1.39487 | ||||||||
\(786\) | −2.60560 | + | 1.09824i | −0.0929385 | + | 0.0391731i | ||||
\(787\) | −30.3226 | − | 4.57039i | −1.08088 | − | 0.162917i | −0.415629 | − | 0.909534i | \(-0.636439\pi\) |
−0.665254 | + | 0.746617i | \(0.731677\pi\) | |||||||
\(788\) | 16.1016 | − | 16.5058i | 0.573595 | − | 0.587996i | ||||
\(789\) | 26.1816 | − | 10.2755i | 0.932088 | − | 0.365818i | ||||
\(790\) | 3.65269 | − | 0.929955i | 0.129957 | − | 0.0330863i | ||||
\(791\) | −6.05378 | + | 3.98993i | −0.215248 | + | 0.141866i | ||||
\(792\) | 10.8364 | + | 4.25427i | 0.385055 | + | 0.151169i | ||||
\(793\) | −33.6573 | − | 10.3819i | −1.19520 | − | 0.368672i | ||||
\(794\) | 7.25255 | − | 7.07345i | 0.257383 | − | 0.251027i | ||||
\(795\) | 11.1968 | + | 36.2992i | 0.397110 | + | 1.28740i | ||||
\(796\) | 1.81460 | − | 1.37431i | 0.0643168 | − | 0.0487111i | ||||
\(797\) | 17.2312 | + | 3.93291i | 0.610361 | + | 0.139311i | 0.516518 | − | 0.856276i | \(-0.327228\pi\) |
0.0938425 | + | 0.995587i | \(0.470085\pi\) | |||||||
\(798\) | 13.2522 | − | 1.11625i | 0.469123 | − | 0.0395148i | ||||
\(799\) | −13.4543 | + | 3.07085i | −0.475978 | + | 0.108639i | ||||
\(800\) | 16.9934 | + | 7.16678i | 0.600808 | + | 0.253384i | ||||
\(801\) | 7.92484 | − | 11.6236i | 0.280010 | − | 0.410700i | ||||
\(802\) | −17.3097 | + | 1.73149i | −0.611226 | + | 0.0611411i | ||||
\(803\) | 26.1357 | − | 45.2683i | 0.922308 | − | 1.59748i | ||||
\(804\) | 11.9050 | − | 28.2366i | 0.419858 | − | 0.995828i | ||||
\(805\) | 0.258837 | − | 1.05740i | 0.00912280 | − | 0.0372685i | ||||
\(806\) | −16.2101 | − | 19.3198i | −0.570978 | − | 0.680512i | ||||
\(807\) | −8.98454 | − | 13.1779i | −0.316271 | − | 0.463884i | ||||
\(808\) | 6.45363 | + | 3.72690i | 0.227038 | + | 0.131112i | ||||
\(809\) | −3.17548 | + | 2.94642i | −0.111644 | + | 0.103591i | −0.734020 | − | 0.679128i | \(-0.762358\pi\) |
0.622376 | + | 0.782719i | \(0.286168\pi\) | |||||||
\(810\) | 4.00282 | − | 0.705663i | 0.140645 | − | 0.0247945i | ||||
\(811\) | 3.83821 | + | 1.84838i | 0.134778 | + | 0.0649056i | 0.500057 | − | 0.865992i | \(-0.333312\pi\) |
−0.365279 | + | 0.930898i | \(0.619027\pi\) | |||||||
\(812\) | 11.0390 | − | 0.376927i | 0.387391 | − | 0.0132275i | ||||
\(813\) | 27.8625 | − | 13.4179i | 0.977182 | − | 0.470586i | ||||
\(814\) | −13.4730 | + | 9.68574i | −0.472229 | + | 0.339485i | ||||
\(815\) | 8.40013 | + | 14.5494i | 0.294244 | + | 0.509645i | ||||
\(816\) | −7.52053 | − | 6.63876i | −0.263271 | − | 0.232403i | ||||
\(817\) | 0.359242 | + | 2.38341i | 0.0125683 | + | 0.0833851i | ||||
\(818\) | 8.22189 | − | 40.6641i | 0.287472 | − | 1.42179i | ||||
\(819\) | 1.85473 | − | 11.1204i | 0.0648094 | − | 0.388577i | ||||
\(820\) | −37.1236 | + | 20.2131i | −1.29641 | + | 0.705874i | ||||
\(821\) | −1.78475 | + | 23.8158i | −0.0622882 | + | 0.831179i | 0.875333 | + | 0.483520i | \(0.160642\pi\) |
−0.937621 | + | 0.347658i | \(0.886977\pi\) | |||||||
\(822\) | −0.670932 | + | 5.35242i | −0.0234014 | + | 0.186687i | ||||
\(823\) | −4.34906 | − | 1.70688i | −0.151599 | − | 0.0594981i | 0.288328 | − | 0.957532i | \(-0.406901\pi\) |
−0.439927 | + | 0.898033i | \(0.644996\pi\) | |||||||
\(824\) | −32.5813 | − | 0.00336910i | −1.13502 | − | 0.000117368i | ||||
\(825\) | 10.4914 | + | 8.36661i | 0.365264 | + | 0.291288i | ||||
\(826\) | −2.46477 | + | 0.993710i | −0.0857603 | + | 0.0345756i | ||||
\(827\) | −7.75065 | + | 6.18094i | −0.269517 | + | 0.214932i | −0.748917 | − | 0.662664i | \(-0.769426\pi\) |
0.479400 | + | 0.877596i | \(0.340854\pi\) | |||||||
\(828\) | −0.254784 | − | 0.130642i | −0.00885436 | − | 0.00454014i | ||||
\(829\) | 47.9797 | − | 3.59558i | 1.66641 | − | 0.124880i | 0.792144 | − | 0.610335i | \(-0.208965\pi\) |
0.874262 | + | 0.485455i | \(0.161346\pi\) | |||||||
\(830\) | 52.5623 | + | 33.9509i | 1.82446 | + | 1.17845i | ||||
\(831\) | −6.90440 | − | 6.40635i | −0.239511 | − | 0.222234i | ||||
\(832\) | −19.1974 | − | 28.1699i | −0.665549 | − | 0.976615i | ||||
\(833\) | −2.07138 | − | 17.4325i | −0.0717691 | − | 0.604002i | ||||
\(834\) | −9.94368 | + | 22.0354i | −0.344322 | + | 0.763025i | ||||
\(835\) | −24.6564 | + | 26.5733i | −0.853271 | + | 0.919608i | ||||
\(836\) | 24.5792 | − | 15.8725i | 0.850090 | − | 0.548963i | ||||
\(837\) | −0.312744 | − | 4.17328i | −0.0108100 | − | 0.144250i | ||||
\(838\) | 26.1011 | + | 1.30355i | 0.901648 | + | 0.0450306i | ||||
\(839\) | 8.98954 | + | 11.2725i | 0.310354 | + | 0.389171i | 0.912407 | − | 0.409285i | \(-0.134222\pi\) |
−0.602053 | + | 0.798456i | \(0.705650\pi\) | |||||||
\(840\) | 21.0412 | − | 4.45465i | 0.725990 | − | 0.153700i | ||||
\(841\) | −15.3646 | + | 19.2665i | −0.529812 | + | 0.664364i | ||||
\(842\) | 23.6791 | − | 26.8299i | 0.816037 | − | 0.924618i | ||||
\(843\) | −7.50234 | + | 19.1156i | −0.258394 | + | 0.658378i | ||||
\(844\) | −12.4299 | + | 20.3376i | −0.427856 | + | 0.700047i | ||||
\(845\) | −14.7816 | − | 1.10773i | −0.508502 | − | 0.0381070i | ||||
\(846\) | −6.20319 | − | 4.69907i | −0.213270 | − | 0.161557i | ||||
\(847\) | 12.8464 | + | 9.05652i | 0.441407 | + | 0.311186i | ||||
\(848\) | 52.6063 | − | 5.25673i | 1.80651 | − | 0.180517i | ||||
\(849\) | 6.27296 | − | 0.945497i | 0.215287 | − | 0.0324494i | ||||
\(850\) | −6.02908 | − | 9.86692i | −0.206796 | − | 0.338433i | ||||
\(851\) | 0.353436 | − | 0.204056i | 0.0121156 | − | 0.00699496i | ||||
\(852\) | 5.48156 | + | 27.1253i | 0.187795 | + | 0.929298i | ||||
\(853\) | 7.63472 | + | 15.8537i | 0.261408 | + | 0.542819i | 0.989821 | − | 0.142319i | \(-0.0454560\pi\) |
−0.728413 | + | 0.685138i | \(0.759742\pi\) | |||||||
\(854\) | −19.5057 | − | 24.0014i | −0.667471 | − | 0.821310i | ||||
\(855\) | 4.43231 | − | 9.20378i | 0.151582 | − | 0.314763i | ||||
\(856\) | −20.1352 | − | 16.0607i | −0.688208 | − | 0.548944i | ||||
\(857\) | −35.2458 | − | 37.9859i | −1.20397 | − | 1.29757i | −0.943220 | − | 0.332168i | \(-0.892220\pi\) |
−0.260752 | − | 0.965406i | \(-0.583970\pi\) | |||||||
\(858\) | −7.89872 | − | 23.5120i | −0.269658 | − | 0.802687i | ||||
\(859\) | 30.1645 | − | 20.5658i | 1.02920 | − | 0.701696i | 0.0738779 | − | 0.997267i | \(-0.476462\pi\) |
0.955321 | + | 0.295572i | \(0.0955101\pi\) | |||||||
\(860\) | 1.05549 | + | 3.75241i | 0.0359918 | + | 0.127956i | ||||
\(861\) | −8.71518 | + | 17.3948i | −0.297012 | + | 0.592813i | ||||
\(862\) | 3.02034 | − | 0.0752184i | 0.102873 | − | 0.00256195i | ||||
\(863\) | 14.0816 | + | 8.13003i | 0.479344 | + | 0.276750i | 0.720143 | − | 0.693825i | \(-0.244076\pi\) |
−0.240799 | + | 0.970575i | \(0.577409\pi\) | |||||||
\(864\) | 0.142004 | − | 5.65507i | 0.00483107 | − | 0.192389i | ||||
\(865\) | 54.5644 | + | 37.2014i | 1.85525 | + | 1.26488i | ||||
\(866\) | 29.2383 | + | 8.22746i | 0.993557 | + | 0.279581i | ||||
\(867\) | −2.38332 | − | 10.4420i | −0.0809417 | − | 0.354629i | ||||
\(868\) | −2.40751 | − | 22.0136i | −0.0817162 | − | 0.747190i | ||||
\(869\) | 0.849330 | − | 3.72116i | 0.0288115 | − | 0.126232i | ||||
\(870\) | 4.05789 | − | 7.45092i | 0.137575 | − | 0.252610i | ||||
\(871\) | −62.3882 | + | 19.2442i | −2.11394 | + | 0.652066i | ||||
\(872\) | −3.84075 | + | 51.1802i | −0.130064 | + | 1.73318i | ||||
\(873\) | 0.571613 | − | 1.85312i | 0.0193462 | − | 0.0627188i | ||||
\(874\) | −0.640383 | + | 0.328277i | −0.0216613 | + | 0.0111041i | ||||
\(875\) | −13.1749 | − | 1.19514i | −0.445394 | − | 0.0404031i | ||||
\(876\) | −25.0134 | − | 4.41232i | −0.845125 | − | 0.149078i | ||||
\(877\) | −14.9613 | − | 38.1208i | −0.505208 | − | 1.28725i | −0.925117 | − | 0.379683i | \(-0.876033\pi\) |
0.419909 | − | 0.907566i | \(-0.362062\pi\) | |||||||
\(878\) | −14.0021 | − | 5.09688i | −0.472546 | − | 0.172011i | ||||
\(879\) | 3.48325 | − | 23.1098i | 0.117487 | − | 0.779475i | ||||
\(880\) | 36.2517 | − | 30.4102i | 1.22204 | − | 1.02513i | ||||
\(881\) | 13.9830i | 0.471098i | 0.971862 | + | 0.235549i | \(0.0756889\pi\) | ||||
−0.971862 | + | 0.235549i | \(0.924311\pi\) | |||||||
\(882\) | 6.77991 | − | 7.21338i | 0.228291 | − | 0.242887i | ||||
\(883\) | − | 17.3174i | − | 0.582777i | −0.956605 | − | 0.291388i | \(-0.905883\pi\) | ||
0.956605 | − | 0.291388i | \(-0.0941172\pi\) | |||||||
\(884\) | −0.534316 | + | 21.3663i | −0.0179710 | + | 0.718627i | ||||
\(885\) | −0.304245 | + | 2.01853i | −0.0102271 | + | 0.0678522i | ||||
\(886\) | −5.81181 | + | 15.9661i | −0.195252 | + | 0.536392i | ||||
\(887\) | 4.12384 | + | 10.5074i | 0.138465 | + | 0.352803i | 0.983239 | − | 0.182320i | \(-0.0583606\pi\) |
−0.844774 | + | 0.535123i | \(0.820265\pi\) | |||||||
\(888\) | 6.66146 | + | 4.54272i | 0.223544 | + | 0.152444i | ||||
\(889\) | −25.0221 | + | 26.1341i | −0.839213 | + | 0.876509i | ||||
\(890\) | −26.0846 | − | 50.8842i | −0.874357 | − | 1.70564i | ||||
\(891\) | 1.21319 | − | 3.93306i | 0.0406433 | − | 0.131762i | ||||
\(892\) | 10.6414 | − | 3.87231i | 0.356300 | − | 0.129655i | ||||
\(893\) | −18.6898 | + | 5.76503i | −0.625429 | + | 0.192919i | ||||
\(894\) | −16.4107 | − | 8.93752i | −0.548856 | − | 0.298916i | ||||
\(895\) | 12.8204 | − | 56.1699i | 0.428539 | − | 1.87755i | ||||
\(896\) | −0.270182 | − | 29.9320i | −0.00902615 | − | 0.999959i | ||||
\(897\) | 0.135747 | + | 0.594745i | 0.00453245 | + | 0.0198580i | ||||
\(898\) | 6.70200 | − | 23.8172i | 0.223649 | − | 0.794789i | ||||
\(899\) | −7.21774 | − | 4.92097i | −0.240725 | − | 0.164124i | ||||
\(900\) | 2.07713 | − | 6.18085i | 0.0692377 | − | 0.206028i | ||||
\(901\) | −28.7060 | − | 16.5734i | −0.956337 | − | 0.552141i | ||||
\(902\) | 1.06566 | + | 42.7908i | 0.0354826 | + | 1.42478i | ||||
\(903\) | 1.38505 | + | 1.14049i | 0.0460917 | + | 0.0379532i | ||||
\(904\) | 7.66427 | + | 1.15601i | 0.254910 | + | 0.0384485i | ||||
\(905\) | 33.0315 | − | 22.5205i | 1.09801 | − | 0.748608i | ||||
\(906\) | 31.8557 | − | 10.7017i | 1.05834 | − | 0.355541i | ||||
\(907\) | 19.2598 | + | 20.7571i | 0.639510 | + | 0.689228i | 0.966753 | − | 0.255712i | \(-0.0823100\pi\) |
−0.327243 | + | 0.944940i | \(0.606120\pi\) | |||||||
\(908\) | 3.34544 | + | 0.852099i | 0.111022 | + | 0.0282779i | ||||
\(909\) | 1.14321 | − | 2.37391i | 0.0379180 | − | 0.0787376i | ||||
\(910\) | −36.0886 | − | 28.2385i | −1.19633 | − | 0.936099i | ||||
\(911\) | 14.3866 | + | 29.8740i | 0.476648 | + | 0.989770i | 0.991208 | + | 0.132315i | \(0.0422411\pi\) |
−0.514560 | + | 0.857455i | \(0.672045\pi\) | |||||||
\(912\) | −11.3319 | − | 8.58607i | −0.375238 | − | 0.284313i | ||||
\(913\) | 54.8752 | − | 31.6822i | 1.81610 | − | 1.04853i | ||||
\(914\) | 21.7782 | − | 13.3073i | 0.720359 | − | 0.440168i | ||||
\(915\) | −23.4913 | + | 3.54074i | −0.776597 | + | 0.117053i | ||||
\(916\) | 37.2862 | + | 26.8109i | 1.23197 | + | 0.885856i | ||||
\(917\) | 2.57288 | + | 4.62209i | 0.0849640 | + | 0.152635i | ||||
\(918\) | −2.14160 | + | 2.82710i | −0.0706833 | + | 0.0933082i | ||||
\(919\) | 36.5736 | + | 2.74081i | 1.20645 | + | 0.0904110i | 0.662732 | − | 0.748856i | \(-0.269397\pi\) |
0.543719 | + | 0.839267i | \(0.317016\pi\) | |||||||
\(920\) | −0.961631 | + | 0.655484i | −0.0317040 | + | 0.0216107i | ||||
\(921\) | 1.97782 | − | 5.03940i | 0.0651713 | − | 0.166054i | ||||
\(922\) | −8.22275 | − | 7.25712i | −0.270802 | − | 0.239001i | ||||
\(923\) | 36.7616 | − | 46.0975i | 1.21002 | − | 1.51732i | ||||
\(924\) | 5.70564 | − | 21.0187i | 0.187702 | − | 0.691466i | ||||
\(925\) | 5.79472 | + | 7.26635i | 0.190529 | + | 0.238916i | ||||
\(926\) | −1.55093 | + | 31.0543i | −0.0509667 | + | 1.02051i | ||||
\(927\) | 0.860833 | + | 11.4870i | 0.0282735 | + | 0.377283i | ||||
\(928\) | −9.04416 | − | 7.59161i | −0.296889 | − | 0.249207i | ||||
\(929\) | 5.41976 | − | 5.84111i | 0.177816 | − | 0.191641i | −0.637854 | − | 0.770157i | \(-0.720178\pi\) |
0.815671 | + | 0.578517i | \(0.196368\pi\) | |||||||
\(930\) | −15.5045 | − | 6.99655i | −0.508414 | − | 0.229426i | ||||
\(931\) | −4.77382 | − | 24.4181i | −0.156456 | − | 0.800272i | ||||
\(932\) | 30.4102 | + | 34.4637i | 0.996118 | + | 1.12890i | ||||
\(933\) | 17.5591 | + | 16.2925i | 0.574860 | + | 0.533393i | ||||
\(934\) | 22.9449 | − | 35.5229i | 0.750779 | − | 1.16234i | ||||
\(935\) | −29.5839 | + | 2.21700i | −0.967496 | + | 0.0725038i | ||||
\(936\) | −9.42371 | + | 7.51357i | −0.308024 | + | 0.245589i | ||||
\(937\) | 21.3611 | − | 17.0349i | 0.697835 | − | 0.556505i | −0.209038 | − | 0.977907i | \(-0.567033\pi\) |
0.906874 | + | 0.421402i | \(0.138462\pi\) | |||||||
\(938\) | −54.9358 | − | 16.3915i | −1.79372 | − | 0.535202i | ||||
\(939\) | −2.79235 | − | 2.22683i | −0.0911249 | − | 0.0726697i | ||||
\(940\) | −28.8324 | + | 13.0073i | −0.940409 | + | 0.424251i | ||||
\(941\) | −19.6429 | − | 7.70928i | −0.640341 | − | 0.251315i | 0.0228806 | − | 0.999738i | \(-0.492716\pi\) |
−0.663222 | + | 0.748423i | \(0.730811\pi\) | |||||||
\(942\) | 19.0810 | + | 2.39183i | 0.621693 | + | 0.0779300i | ||||
\(943\) | 0.0786736 | − | 1.04983i | 0.00256197 | − | 0.0341870i | ||||
\(944\) | 2.66957 | + | 0.972060i | 0.0868870 | + | 0.0316379i | ||||
\(945\) | −2.12724 | − | 7.30046i | −0.0691990 | − | 0.237484i | ||||
\(946\) | 3.86901 | + | 0.782275i | 0.125792 | + | 0.0254340i | ||||
\(947\) | 7.01991 | + | 46.5741i | 0.228116 | + | 1.51345i | 0.750573 | + | 0.660788i | \(0.229778\pi\) |
−0.522456 | + | 0.852666i | \(0.674984\pi\) | |||||||
\(948\) | −1.84030 | + | 0.230491i | −0.0597702 | + | 0.00748599i | ||||
\(949\) | 27.0580 | + | 46.8658i | 0.878339 | + | 1.52133i | ||||
\(950\) | −9.56597 | − | 13.3064i | −0.310361 | − | 0.431717i | ||||
\(951\) | −19.3216 | + | 9.30479i | −0.626545 | + | 0.301728i | ||||
\(952\) | −10.8152 | + | 15.3376i | −0.350522 | + | 0.497095i | ||||
\(953\) | −28.9274 | − | 13.9307i | −0.937049 | − | 0.451259i | −0.0979217 | − | 0.995194i | \(-0.531219\pi\) |
−0.839127 | + | 0.543935i | \(0.816934\pi\) | |||||||
\(954\) | −3.24516 | − | 18.4079i | −0.105066 | − | 0.595978i | ||||
\(955\) | 1.14860 | − | 1.06575i | 0.0371678 | − | 0.0344867i | ||||
\(956\) | −1.56324 | + | 15.6114i | −0.0505588 | + | 0.504908i | ||||
\(957\) | −4.83976 | − | 7.09863i | −0.156447 | − | 0.229466i | ||||
\(958\) | −29.5040 | + | 24.7551i | −0.953233 | + | 0.799801i | ||||
\(959\) | 10.0906 | + | 0.158089i | 0.325842 | + | 0.00510496i | ||||
\(960\) | −19.9098 | − | 11.5004i | −0.642584 | − | 0.371174i | ||||
\(961\) | 6.74295 | − | 11.6791i | 0.217515 | − | 0.376746i | ||||
\(962\) | −1.70987 | − | 17.0935i | −0.0551283 | − | 0.551116i | ||||
\(963\) | −5.12967 | + | 7.52385i | −0.165301 | + | 0.242453i | ||||
\(964\) | −16.3697 | + | 19.5060i | −0.527234 | + | 0.628245i | ||||
\(965\) | 25.5549 | − | 5.83275i | 0.822642 | − | 0.187763i | ||||
\(966\) | −0.191089 | + | 0.500423i | −0.00614818 | + | 0.0161009i | ||||
\(967\) | 28.2573 | + | 6.44955i | 0.908694 | + | 0.207404i | 0.651227 | − | 0.758883i | \(-0.274255\pi\) |
0.257468 | + | 0.966287i | \(0.417112\pi\) | |||||||
\(968\) | −3.73734 | − | 16.3822i | −0.120123 | − | 0.526543i | ||||
\(969\) | 2.62741 | + | 8.51785i | 0.0844046 | + | 0.273633i | ||||
\(970\) | −5.50352 | − | 5.64287i | −0.176707 | − | 0.181181i | ||||
\(971\) | 20.4848 | + | 6.31872i | 0.657388 | + | 0.202777i | 0.605463 | − | 0.795874i | \(-0.292988\pi\) |
0.0519252 | + | 0.998651i | \(0.483464\pi\) | |||||||
\(972\) | −1.99752 | + | 0.0995541i | −0.0640705 | + | 0.00319320i | ||||
\(973\) | 43.0041 | + | 14.0064i | 1.37865 | + | 0.449026i | ||||
\(974\) | 6.52975 | + | 25.6477i | 0.209227 | + | 0.821804i | ||||
\(975\) | −12.9322 | + | 5.07551i | −0.414162 | + | 0.162547i | ||||
\(976\) | −1.65263 | + | 33.0220i | −0.0528993 | + | 1.05701i | ||||
\(977\) | 25.0417 | + | 3.77442i | 0.801154 | + | 0.120754i | 0.536842 | − | 0.843683i | \(-0.319617\pi\) |
0.264312 | + | 0.964437i | \(0.414855\pi\) | |||||||
\(978\) | −3.21082 | − | 7.61771i | −0.102671 | − | 0.243587i | ||||
\(979\) | −57.9031 | −1.85059 | ||||||||
\(980\) | −12.5680 | − | 38.2238i | −0.401470 | − | 1.22101i | ||||
\(981\) | 18.1458 | 0.579352 | ||||||||
\(982\) | 14.9676 | + | 35.5108i | 0.477636 | + | 1.13320i | ||||
\(983\) | 39.4299 | + | 5.94310i | 1.25762 | + | 0.189556i | 0.743834 | − | 0.668364i | \(-0.233005\pi\) |
0.513784 | + | 0.857919i | \(0.328243\pi\) | |||||||
\(984\) | 19.3623 | − | 7.59683i | 0.617247 | − | 0.242178i | ||||
\(985\) | −30.8456 | + | 12.1060i | −0.982821 | + | 0.385729i | ||||
\(986\) | 1.82657 | + | 7.17441i | 0.0581697 | + | 0.228480i | ||||
\(987\) | −7.47609 | + | 12.4928i | −0.237967 | + | 0.397651i | ||||
\(988\) | 1.50781 | + | 30.2537i | 0.0479698 | + | 0.962499i | ||||
\(989\) | −0.0927710 | − | 0.0286161i | −0.00294995 | − | 0.000909938i | ||||
\(990\) | −11.6806 | − | 11.9764i | −0.371235 | − | 0.380634i | ||||
\(991\) | −14.5700 | − | 47.2347i | −0.462831 | − | 1.50046i | −0.823255 | − | 0.567672i | \(-0.807844\pi\) |
0.360424 | − | 0.932789i | \(-0.382632\pi\) | |||||||
\(992\) | −13.8228 | + | 19.2193i | −0.438873 | + | 0.610214i | ||||
\(993\) | 12.1609 | + | 2.77564i | 0.385914 | + | 0.0880824i | ||||
\(994\) | 49.3295 | − | 15.7164i | 1.56464 | − | 0.498493i | ||||
\(995\) | −3.18909 | + | 0.727890i | −0.101101 | + | 0.0230756i | ||||
\(996\) | −23.5851 | − | 19.7930i | −0.747323 | − | 0.627166i | ||||
\(997\) | 6.02064 | − | 8.83066i | 0.190676 | − | 0.279670i | −0.718982 | − | 0.695029i | \(-0.755392\pi\) |
0.909658 | + | 0.415359i | \(0.136344\pi\) | |||||||
\(998\) | 3.56873 | + | 35.6765i | 0.112966 | + | 1.12932i | ||||
\(999\) | 1.42534 | − | 2.46877i | 0.0450959 | − | 0.0781084i |
(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 | 588.2.ba.b.187.4 | yes | 336 | |
4.3 | odd | 2 | 588.2.ba.a.187.17 | ✓ | 336 | ||
49.38 | odd | 42 | 588.2.ba.a.283.17 | yes | 336 | ||
196.87 | even | 42 | inner | 588.2.ba.b.283.4 | yes | 336 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
588.2.ba.a.187.17 | ✓ | 336 | 4.3 | odd | 2 | ||
588.2.ba.a.283.17 | yes | 336 | 49.38 | odd | 42 | ||
588.2.ba.b.187.4 | yes | 336 | 1.1 | even | 1 | trivial | |
588.2.ba.b.283.4 | yes | 336 | 196.87 | even | 42 | inner |