Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [252,2,Mod(103,252)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(252, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([3, 2, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("252.103");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 252 = 2^{2} \cdot 3^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 252.bj (of order \(6\), degree \(2\), 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: | \(2.01223013094\) |
Analytic rank: | \(0\) |
Dimension: | \(84\) |
Relative dimension: | \(42\) over \(\Q(\zeta_{6})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{6}]$ |
Embedding invariants
Embedding label | 103.24 | ||
Character | \(\chi\) | \(=\) | 252.103 |
Dual form | 252.2.bj.b.115.23 |
$q$-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 \(\left(\mathbb{Z}/252\mathbb{Z}\right)^\times\).
\(n\) | \(29\) | \(73\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{5}{6}\right)\) | \(-1\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.248495 | + | 1.39221i | 0.175713 | + | 0.984442i | ||||
\(3\) | 1.22260 | − | 1.22689i | 0.705869 | − | 0.708343i | ||||
\(4\) | −1.87650 | + | 0.691915i | −0.938250 | + | 0.345957i | ||||
\(5\) | 0.705906 | − | 0.407555i | 0.315691 | − | 0.182264i | −0.333779 | − | 0.942651i | \(-0.608324\pi\) |
0.649470 | + | 0.760387i | \(0.274991\pi\) | |||||||
\(6\) | 2.01189 | + | 1.39724i | 0.821352 | + | 0.570422i | ||||
\(7\) | 2.03393 | + | 1.69208i | 0.768753 | + | 0.639546i | ||||
\(8\) | −1.42959 | − | 2.44055i | −0.505437 | − | 0.862863i | ||||
\(9\) | −0.0104958 | − | 2.99998i | −0.00349861 | − | 0.999994i | ||||
\(10\) | 0.742817 | + | 0.881495i | 0.234899 | + | 0.278753i | ||||
\(11\) | 4.17670 | + | 2.41142i | 1.25932 | + | 0.727070i | 0.972943 | − | 0.231046i | \(-0.0742147\pi\) |
0.286380 | + | 0.958116i | \(0.407548\pi\) | |||||||
\(12\) | −1.44531 | + | 3.14819i | −0.417225 | + | 0.908803i | ||||
\(13\) | −2.20303 | − | 1.27192i | −0.611011 | − | 0.352767i | 0.162350 | − | 0.986733i | \(-0.448093\pi\) |
−0.773361 | + | 0.633966i | \(0.781426\pi\) | |||||||
\(14\) | −1.85031 | + | 3.25213i | −0.494516 | + | 0.869169i | ||||
\(15\) | 0.363018 | − | 1.36434i | 0.0937308 | − | 0.352272i | ||||
\(16\) | 3.04251 | − | 2.59676i | 0.760627 | − | 0.649189i | ||||
\(17\) | −0.503257 | + | 0.290555i | −0.122058 | + | 0.0704700i | −0.559786 | − | 0.828637i | \(-0.689117\pi\) |
0.437728 | + | 0.899107i | \(0.355783\pi\) | |||||||
\(18\) | 4.17400 | − | 0.760093i | 0.983821 | − | 0.179156i | ||||
\(19\) | −2.24125 | + | 3.88195i | −0.514177 | + | 0.890581i | 0.485687 | + | 0.874133i | \(0.338569\pi\) |
−0.999865 | + | 0.0164486i | \(0.994764\pi\) | |||||||
\(20\) | −1.04264 | + | 1.25320i | −0.233141 | + | 0.280225i | ||||
\(21\) | 4.56267 | − | 0.426661i | 0.995656 | − | 0.0931050i | ||||
\(22\) | −2.31931 | + | 6.41407i | −0.494479 | + | 1.36749i | ||||
\(23\) | 5.60853 | − | 3.23809i | 1.16946 | − | 0.675188i | 0.215907 | − | 0.976414i | \(-0.430729\pi\) |
0.953553 | + | 0.301226i | \(0.0973959\pi\) | |||||||
\(24\) | −4.74209 | − | 1.22987i | −0.967975 | − | 0.251046i | ||||
\(25\) | −2.16780 | + | 3.75474i | −0.433560 | + | 0.750947i | ||||
\(26\) | 1.22334 | − | 3.38315i | 0.239917 | − | 0.663490i | ||||
\(27\) | −3.69347 | − | 3.65490i | −0.710808 | − | 0.703386i | ||||
\(28\) | −4.98744 | − | 1.76788i | −0.942538 | − | 0.334098i | ||||
\(29\) | −3.16210 | − | 5.47692i | −0.587188 | − | 1.01704i | −0.994599 | − | 0.103794i | \(-0.966902\pi\) |
0.407411 | − | 0.913245i | \(-0.366432\pi\) | |||||||
\(30\) | 1.98966 | + | 0.166365i | 0.363261 | + | 0.0303739i | ||||
\(31\) | −9.62438 | −1.72859 | −0.864294 | − | 0.502986i | \(-0.832235\pi\) | ||||
−0.864294 | + | 0.502986i | \(0.832235\pi\) | |||||||
\(32\) | 4.37128 | + | 3.59053i | 0.772741 | + | 0.634722i | ||||
\(33\) | 8.06497 | − | 2.17613i | 1.40393 | − | 0.378816i | ||||
\(34\) | −0.529571 | − | 0.628438i | −0.0908207 | − | 0.107776i | ||||
\(35\) | 2.12538 | + | 0.365511i | 0.359255 | + | 0.0617827i | ||||
\(36\) | 2.09543 | + | 5.62220i | 0.349238 | + | 0.937034i | ||||
\(37\) | 1.62993 | − | 2.82313i | 0.267959 | − | 0.464119i | −0.700375 | − | 0.713775i | \(-0.746984\pi\) |
0.968335 | + | 0.249655i | \(0.0803173\pi\) | |||||||
\(38\) | −5.96144 | − | 2.15564i | −0.967073 | − | 0.349691i | ||||
\(39\) | −4.25393 | + | 1.14782i | −0.681174 | + | 0.183798i | ||||
\(40\) | −2.00382 | − | 1.14016i | −0.316831 | − | 0.180275i | ||||
\(41\) | −3.04709 | − | 1.75924i | −0.475875 | − | 0.274747i | 0.242821 | − | 0.970071i | \(-0.421927\pi\) |
−0.718696 | + | 0.695325i | \(0.755261\pi\) | |||||||
\(42\) | 1.72780 | + | 6.24617i | 0.266606 | + | 0.963806i | ||||
\(43\) | −4.72260 | + | 2.72659i | −0.720190 | + | 0.415802i | −0.814823 | − | 0.579710i | \(-0.803166\pi\) |
0.0946327 | + | 0.995512i | \(0.469832\pi\) | |||||||
\(44\) | −9.50608 | − | 1.63511i | −1.43310 | − | 0.246502i | ||||
\(45\) | −1.23007 | − | 2.11343i | −0.183368 | − | 0.315051i | ||||
\(46\) | 5.90179 | + | 7.00361i | 0.870172 | + | 1.03263i | ||||
\(47\) | −9.58038 | −1.39744 | −0.698721 | − | 0.715395i | \(-0.746247\pi\) | ||||
−0.698721 | + | 0.715395i | \(0.746247\pi\) | |||||||
\(48\) | 0.533848 | − | 6.90760i | 0.0770543 | − | 0.997027i | ||||
\(49\) | 1.27373 | + | 6.88314i | 0.181962 | + | 0.983306i | ||||
\(50\) | −5.76607 | − | 2.08500i | −0.815445 | − | 0.294863i | ||||
\(51\) | −0.258804 | + | 0.972672i | −0.0362398 | + | 0.136201i | ||||
\(52\) | 5.01405 | + | 0.862450i | 0.695324 | + | 0.119600i | ||||
\(53\) | −1.09484 | − | 1.89632i | −0.150388 | − | 0.260480i | 0.780982 | − | 0.624553i | \(-0.214719\pi\) |
−0.931370 | + | 0.364074i | \(0.881386\pi\) | |||||||
\(54\) | 4.17058 | − | 6.05031i | 0.567545 | − | 0.823343i | ||||
\(55\) | 3.93115 | 0.530076 | ||||||||
\(56\) | 1.22191 | − | 7.38288i | 0.163284 | − | 0.986579i | ||||
\(57\) | 2.02256 | + | 7.49583i | 0.267895 | + | 0.992847i | ||||
\(58\) | 6.83926 | − | 5.76330i | 0.898039 | − | 0.756759i | ||||
\(59\) | 11.2058 | 1.45886 | 0.729432 | − | 0.684053i | \(-0.239784\pi\) | ||||
0.729432 | + | 0.684053i | \(0.239784\pi\) | |||||||
\(60\) | 0.262806 | + | 2.81137i | 0.0339281 | + | 0.362946i | ||||
\(61\) | − | 7.24771i | − | 0.927974i | −0.885842 | − | 0.463987i | \(-0.846418\pi\) | ||
0.885842 | − | 0.463987i | \(-0.153582\pi\) | |||||||
\(62\) | −2.39161 | − | 13.3992i | −0.303735 | − | 1.70169i | ||||
\(63\) | 5.05486 | − | 6.11951i | 0.636852 | − | 0.770986i | ||||
\(64\) | −3.91253 | + | 6.97797i | −0.489066 | + | 0.872247i | ||||
\(65\) | −2.07351 | −0.257187 | ||||||||
\(66\) | 5.03374 | + | 10.6874i | 0.619610 | + | 1.31553i | ||||
\(67\) | − | 5.02059i | − | 0.613363i | −0.951812 | − | 0.306682i | \(-0.900781\pi\) | ||
0.951812 | − | 0.306682i | \(-0.0992187\pi\) | |||||||
\(68\) | 0.743322 | − | 0.893438i | 0.0901410 | − | 0.108345i | ||||
\(69\) | 2.88423 | − | 10.8399i | 0.347221 | − | 1.30497i | ||||
\(70\) | 0.0192776 | + | 3.04980i | 0.00230411 | + | 0.364521i | ||||
\(71\) | − | 3.64207i | − | 0.432234i | −0.976367 | − | 0.216117i | \(-0.930661\pi\) | ||
0.976367 | − | 0.216117i | \(-0.0693392\pi\) | |||||||
\(72\) | −7.30659 | + | 4.31437i | −0.861090 | + | 0.508453i | ||||
\(73\) | 2.26126 | − | 1.30554i | 0.264661 | − | 0.152802i | −0.361798 | − | 0.932257i | \(-0.617837\pi\) |
0.626459 | + | 0.779454i | \(0.284504\pi\) | |||||||
\(74\) | 4.33542 | + | 1.56768i | 0.503982 | + | 0.182239i | ||||
\(75\) | 1.95628 | + | 7.25018i | 0.225892 | + | 0.837179i | ||||
\(76\) | 1.51972 | − | 8.83524i | 0.174324 | − | 1.01347i | ||||
\(77\) | 4.41480 | + | 11.9720i | 0.503113 | + | 1.36433i | ||||
\(78\) | −2.65508 | − | 5.63714i | −0.300629 | − | 0.638280i | ||||
\(79\) | 10.1419i | 1.14105i | 0.821280 | + | 0.570526i | \(0.193260\pi\) | ||||
−0.821280 | + | 0.570526i | \(0.806740\pi\) | |||||||
\(80\) | 1.08940 | − | 3.07306i | 0.121799 | − | 0.343578i | ||||
\(81\) | −8.99978 | + | 0.0629746i | −0.999976 | + | 0.00699717i | ||||
\(82\) | 1.69204 | − | 4.67935i | 0.186855 | − | 0.516747i | ||||
\(83\) | −0.820993 | − | 1.42200i | −0.0901157 | − | 0.156085i | 0.817444 | − | 0.576008i | \(-0.195390\pi\) |
−0.907560 | + | 0.419923i | \(0.862057\pi\) | |||||||
\(84\) | −8.26664 | + | 3.95761i | −0.901964 | + | 0.431810i | ||||
\(85\) | −0.236835 | + | 0.410210i | −0.0256883 | + | 0.0444935i | ||||
\(86\) | −4.96954 | − | 5.89731i | −0.535879 | − | 0.635923i | ||||
\(87\) | −10.5855 | − | 2.81655i | −1.13489 | − | 0.301966i | ||||
\(88\) | −0.0857994 | − | 13.6408i | −0.00914624 | − | 1.45411i | ||||
\(89\) | −1.90724 | − | 1.10115i | −0.202167 | − | 0.116721i | 0.395499 | − | 0.918466i | \(-0.370572\pi\) |
−0.597666 | + | 0.801745i | \(0.703905\pi\) | |||||||
\(90\) | 2.63667 | − | 2.23769i | 0.277930 | − | 0.235873i | ||||
\(91\) | −2.32862 | − | 6.31470i | −0.244106 | − | 0.661961i | ||||
\(92\) | −8.28393 | + | 9.95690i | −0.863660 | + | 1.03808i | ||||
\(93\) | −11.7668 | + | 11.8080i | −1.22016 | + | 1.22443i | ||||
\(94\) | −2.38068 | − | 13.3379i | −0.245548 | − | 1.37570i | ||||
\(95\) | 3.65373i | 0.374864i | ||||||||
\(96\) | 9.74950 | − | 0.973278i | 0.995054 | − | 0.0993347i | ||||
\(97\) | −6.14759 | + | 3.54931i | −0.624193 | + | 0.360378i | −0.778500 | − | 0.627645i | \(-0.784019\pi\) |
0.154307 | + | 0.988023i | \(0.450686\pi\) | |||||||
\(98\) | −9.26626 | + | 3.48373i | −0.936034 | + | 0.351910i | ||||
\(99\) | 7.19038 | − | 12.5553i | 0.722660 | − | 1.26186i | ||||
\(100\) | 1.46992 | − | 8.54569i | 0.146992 | − | 0.854569i | ||||
\(101\) | 8.15564 | + | 4.70866i | 0.811516 | + | 0.468529i | 0.847482 | − | 0.530824i | \(-0.178117\pi\) |
−0.0359658 | + | 0.999353i | \(0.511451\pi\) | |||||||
\(102\) | −1.41848 | − | 0.118605i | −0.140450 | − | 0.0117437i | ||||
\(103\) | 2.57609 | + | 4.46191i | 0.253829 | + | 0.439645i | 0.964577 | − | 0.263802i | \(-0.0849765\pi\) |
−0.710748 | + | 0.703447i | \(0.751643\pi\) | |||||||
\(104\) | 0.0452555 | + | 7.19493i | 0.00443767 | + | 0.705521i | ||||
\(105\) | 3.04693 | − | 2.16072i | 0.297350 | − | 0.210865i | ||||
\(106\) | 2.36802 | − | 1.99548i | 0.230002 | − | 0.193818i | ||||
\(107\) | 10.4663 | + | 6.04271i | 1.01181 | + | 0.584170i | 0.911722 | − | 0.410808i | \(-0.134753\pi\) |
0.100091 | + | 0.994978i | \(0.468087\pi\) | |||||||
\(108\) | 9.45967 | + | 4.30286i | 0.910257 | + | 0.414043i | ||||
\(109\) | 1.83950 | + | 3.18610i | 0.176192 | + | 0.305173i | 0.940573 | − | 0.339591i | \(-0.110289\pi\) |
−0.764381 | + | 0.644764i | \(0.776955\pi\) | |||||||
\(110\) | 0.976870 | + | 5.47298i | 0.0931409 | + | 0.521828i | ||||
\(111\) | −1.47090 | − | 5.45130i | −0.139611 | − | 0.517414i | ||||
\(112\) | 10.5822 | − | 0.133455i | 0.999920 | − | 0.0126103i | ||||
\(113\) | −2.77892 | + | 4.81323i | −0.261419 | + | 0.452790i | −0.966619 | − | 0.256218i | \(-0.917524\pi\) |
0.705201 | + | 0.709008i | \(0.250857\pi\) | |||||||
\(114\) | −9.93318 | + | 4.67851i | −0.930327 | + | 0.438183i | ||||
\(115\) | 2.63940 | − | 4.57157i | 0.246125 | − | 0.426301i | ||||
\(116\) | 9.72325 | + | 8.08954i | 0.902781 | + | 0.751095i | ||||
\(117\) | −3.79262 | + | 6.62241i | −0.350628 | + | 0.612242i | ||||
\(118\) | 2.78457 | + | 15.6008i | 0.256341 | + | 1.43617i | ||||
\(119\) | −1.51523 | − | 0.260581i | −0.138901 | − | 0.0238875i | ||||
\(120\) | −3.84871 | + | 1.06449i | −0.351338 | + | 0.0971744i | ||||
\(121\) | 6.12989 | + | 10.6173i | 0.557263 | + | 0.965207i | ||||
\(122\) | 10.0903 | − | 1.80102i | 0.913537 | − | 0.163057i | ||||
\(123\) | −5.88375 | + | 1.58758i | −0.530520 | + | 0.143148i | ||||
\(124\) | 18.0601 | − | 6.65925i | 1.62185 | − | 0.598018i | ||||
\(125\) | 7.60954i | 0.680618i | ||||||||
\(126\) | 9.77575 | + | 5.51676i | 0.870893 | + | 0.491472i | ||||
\(127\) | 1.07938i | 0.0957798i | 0.998853 | + | 0.0478899i | \(0.0152497\pi\) | ||||
−0.998853 | + | 0.0478899i | \(0.984750\pi\) | |||||||
\(128\) | −10.6871 | − | 3.71308i | −0.944611 | − | 0.328193i | ||||
\(129\) | −2.42863 | + | 9.12763i | −0.213829 | + | 0.803643i | ||||
\(130\) | −0.515257 | − | 2.88677i | −0.0451911 | − | 0.253186i | ||||
\(131\) | 4.37411 | + | 7.57619i | 0.382168 | + | 0.661935i | 0.991372 | − | 0.131079i | \(-0.0418442\pi\) |
−0.609204 | + | 0.793014i | \(0.708511\pi\) | |||||||
\(132\) | −13.6282 | + | 9.66379i | −1.18618 | + | 0.841125i | ||||
\(133\) | −11.1271 | + | 4.10325i | −0.964843 | + | 0.355797i | ||||
\(134\) | 6.98972 | − | 1.24759i | 0.603820 | − | 0.107776i | ||||
\(135\) | −4.09681 | − | 1.07473i | −0.352598 | − | 0.0924978i | ||||
\(136\) | 1.42857 | + | 0.812846i | 0.122499 | + | 0.0697009i | ||||
\(137\) | 4.31047 | − | 7.46595i | 0.368268 | − | 0.637859i | −0.621027 | − | 0.783789i | \(-0.713284\pi\) |
0.989295 | + | 0.145930i | \(0.0466174\pi\) | |||||||
\(138\) | 15.8082 | + | 1.32179i | 1.34568 | + | 0.112518i | ||||
\(139\) | −4.64043 | + | 8.03745i | −0.393596 | + | 0.681728i | −0.992921 | − | 0.118778i | \(-0.962102\pi\) |
0.599325 | + | 0.800506i | \(0.295436\pi\) | |||||||
\(140\) | −4.24118 | + | 0.784699i | −0.358445 | + | 0.0663192i | ||||
\(141\) | −11.7130 | + | 11.7540i | −0.986410 | + | 0.989867i | ||||
\(142\) | 5.07053 | − | 0.905036i | 0.425509 | − | 0.0759489i | ||||
\(143\) | −6.13427 | − | 10.6249i | −0.512974 | − | 0.888496i | ||||
\(144\) | −7.82216 | − | 9.10021i | −0.651846 | − | 0.758351i | ||||
\(145\) | −4.46430 | − | 2.57746i | −0.370740 | − | 0.214047i | ||||
\(146\) | 2.37950 | + | 2.82374i | 0.196929 | + | 0.233694i | ||||
\(147\) | 10.0021 | + | 6.85260i | 0.824959 | + | 0.565193i | ||||
\(148\) | −1.10521 | + | 6.42538i | −0.0908474 | + | 0.528163i | ||||
\(149\) | −5.47269 | − | 9.47898i | −0.448340 | − | 0.776548i | 0.549938 | − | 0.835206i | \(-0.314651\pi\) |
−0.998278 | + | 0.0586572i | \(0.981318\pi\) | |||||||
\(150\) | −9.60765 | + | 4.52519i | −0.784462 | + | 0.369480i | ||||
\(151\) | 0.329198 | + | 0.190062i | 0.0267897 | + | 0.0154671i | 0.513335 | − | 0.858188i | \(-0.328410\pi\) |
−0.486545 | + | 0.873655i | \(0.661743\pi\) | |||||||
\(152\) | 12.6782 | − | 0.0797446i | 1.02833 | − | 0.00646814i | ||||
\(153\) | 0.876943 | + | 1.50671i | 0.0708966 | + | 0.121810i | ||||
\(154\) | −15.5704 | + | 9.12131i | −1.25470 | + | 0.735016i | ||||
\(155\) | −6.79391 | + | 3.92246i | −0.545700 | + | 0.315060i | ||||
\(156\) | 7.18831 | − | 5.09724i | 0.575525 | − | 0.408105i | ||||
\(157\) | − | 4.96221i | − | 0.396028i | −0.980199 | − | 0.198014i | \(-0.936551\pi\) | ||
0.980199 | − | 0.198014i | \(-0.0634491\pi\) | |||||||
\(158\) | −14.1196 | + | 2.52021i | −1.12330 | + | 0.200497i | ||||
\(159\) | −3.66512 | − | 0.975198i | −0.290663 | − | 0.0773382i | ||||
\(160\) | 4.54905 | + | 0.753039i | 0.359634 | + | 0.0595330i | ||||
\(161\) | 16.8865 | + | 2.90404i | 1.33084 | + | 0.228871i | ||||
\(162\) | −2.32407 | − | 12.5139i | −0.182597 | − | 0.983188i | ||||
\(163\) | 17.9942 | + | 10.3890i | 1.40942 | + | 0.813727i | 0.995332 | − | 0.0965111i | \(-0.0307683\pi\) |
0.414085 | + | 0.910238i | \(0.364102\pi\) | |||||||
\(164\) | 6.93510 | + | 1.19288i | 0.541540 | + | 0.0931485i | ||||
\(165\) | 4.80622 | − | 4.82307i | 0.374164 | − | 0.375475i | ||||
\(166\) | 1.77571 | − | 1.49636i | 0.137822 | − | 0.116140i | ||||
\(167\) | −1.02852 | + | 1.78145i | −0.0795893 | + | 0.137853i | −0.903073 | − | 0.429487i | \(-0.858694\pi\) |
0.823483 | + | 0.567340i | \(0.192028\pi\) | |||||||
\(168\) | −7.56404 | − | 10.5255i | −0.583579 | − | 0.812057i | ||||
\(169\) | −3.26443 | − | 5.65416i | −0.251110 | − | 0.434936i | ||||
\(170\) | −0.629951 | − | 0.227789i | −0.0483150 | − | 0.0174706i | ||||
\(171\) | 11.6693 | + | 6.68296i | 0.892375 | + | 0.511058i | ||||
\(172\) | 6.97539 | − | 8.38409i | 0.531869 | − | 0.639281i | ||||
\(173\) | 14.4260i | 1.09679i | 0.836220 | + | 0.548395i | \(0.184761\pi\) | ||||
−0.836220 | + | 0.548395i | \(0.815239\pi\) | |||||||
\(174\) | 1.29078 | − | 15.4372i | 0.0978535 | − | 1.17029i | ||||
\(175\) | −10.7625 | + | 3.96878i | −0.813565 | + | 0.300012i | ||||
\(176\) | 18.9695 | − | 3.50912i | 1.42988 | − | 0.264510i | ||||
\(177\) | 13.7002 | − | 13.7482i | 1.02977 | − | 1.03338i | ||||
\(178\) | 1.05909 | − | 2.92891i | 0.0793819 | − | 0.219531i | ||||
\(179\) | −3.35237 | + | 1.93549i | −0.250568 | + | 0.144666i | −0.620024 | − | 0.784583i | \(-0.712877\pi\) |
0.369456 | + | 0.929248i | \(0.379544\pi\) | |||||||
\(180\) | 3.77053 | + | 3.11475i | 0.281039 | + | 0.232159i | ||||
\(181\) | − | 24.8665i | − | 1.84831i | −0.382012 | − | 0.924157i | \(-0.624769\pi\) | ||
0.382012 | − | 0.924157i | \(-0.375231\pi\) | |||||||
\(182\) | 8.21275 | − | 4.81110i | 0.608769 | − | 0.356623i | ||||
\(183\) | −8.89211 | − | 8.86106i | −0.657324 | − | 0.655028i | ||||
\(184\) | −15.9206 | − | 9.05874i | −1.17368 | − | 0.667819i | ||||
\(185\) | − | 2.65715i | − | 0.195358i | ||||||
\(186\) | −19.3632 | − | 13.4476i | −1.41978 | − | 0.986025i | ||||
\(187\) | −2.80260 | −0.204947 | ||||||||
\(188\) | 17.9776 | − | 6.62880i | 1.31115 | − | 0.483455i | ||||
\(189\) | −1.32786 | − | 13.6834i | −0.0965878 | − | 0.995324i | ||||
\(190\) | −5.08676 | + | 0.907933i | −0.369032 | + | 0.0658684i | ||||
\(191\) | 18.5339i | 1.34107i | 0.741880 | + | 0.670533i | \(0.233935\pi\) | ||||
−0.741880 | + | 0.670533i | \(0.766065\pi\) | |||||||
\(192\) | 3.77771 | + | 13.3315i | 0.272633 | + | 0.962118i | ||||
\(193\) | 26.3504 | 1.89674 | 0.948371 | − | 0.317163i | \(-0.102730\pi\) | ||||
0.948371 | + | 0.317163i | \(0.102730\pi\) | |||||||
\(194\) | −6.46904 | − | 7.67675i | −0.464450 | − | 0.551159i | ||||
\(195\) | −2.53508 | + | 2.54396i | −0.181541 | + | 0.182177i | ||||
\(196\) | −7.15271 | − | 12.0349i | −0.510908 | − | 0.859636i | ||||
\(197\) | −5.05586 | −0.360215 | −0.180107 | − | 0.983647i | \(-0.557645\pi\) | ||||
−0.180107 | + | 0.983647i | \(0.557645\pi\) | |||||||
\(198\) | 19.2664 | + | 6.89058i | 1.36921 | + | 0.489692i | ||||
\(199\) | −10.9222 | − | 18.9178i | −0.774255 | − | 1.34105i | −0.935212 | − | 0.354088i | \(-0.884791\pi\) |
0.160957 | − | 0.986961i | \(-0.448542\pi\) | |||||||
\(200\) | 12.2627 | − | 0.0771312i | 0.867102 | − | 0.00545400i | ||||
\(201\) | −6.15969 | − | 6.13818i | −0.434471 | − | 0.432954i | ||||
\(202\) | −4.52881 | + | 12.5244i | −0.318646 | + | 0.881217i | ||||
\(203\) | 2.83590 | − | 16.4902i | 0.199041 | − | 1.15739i | ||||
\(204\) | −0.187361 | − | 2.00429i | −0.0131179 | − | 0.140328i | ||||
\(205\) | −2.86794 | −0.200306 | ||||||||
\(206\) | −5.57178 | + | 4.69522i | −0.388204 | + | 0.327131i | ||||
\(207\) | −9.77307 | − | 16.7915i | −0.679275 | − | 1.16709i | ||||
\(208\) | −10.0056 | + | 1.85091i | −0.693764 | + | 0.128338i | ||||
\(209\) | −18.7220 | + | 10.8092i | −1.29503 | + | 0.747686i | ||||
\(210\) | 3.76533 | + | 3.70504i | 0.259832 | + | 0.255672i | ||||
\(211\) | 22.2066 | + | 12.8210i | 1.52876 | + | 0.882632i | 0.999414 | + | 0.0342290i | \(0.0108975\pi\) |
0.529350 | + | 0.848403i | \(0.322436\pi\) | |||||||
\(212\) | 3.36656 | + | 2.80091i | 0.231217 | + | 0.192367i | ||||
\(213\) | −4.46840 | − | 4.45279i | −0.306170 | − | 0.305100i | ||||
\(214\) | −5.81190 | + | 16.0728i | −0.397293 | + | 1.09872i | ||||
\(215\) | −2.22248 | + | 3.84944i | −0.151572 | + | 0.262530i | ||||
\(216\) | −3.63981 | + | 14.2391i | −0.247657 | + | 0.968848i | ||||
\(217\) | −19.5753 | − | 16.2852i | −1.32886 | − | 1.10551i | ||||
\(218\) | −3.97862 | + | 3.35269i | −0.269466 | + | 0.227073i | ||||
\(219\) | 1.16287 | − | 4.37047i | 0.0785797 | − | 0.295329i | ||||
\(220\) | −7.37680 | + | 2.72002i | −0.497344 | + | 0.183384i | ||||
\(221\) | 1.47825 | 0.0994382 | ||||||||
\(222\) | 7.22385 | − | 3.40242i | 0.484833 | − | 0.228355i | ||||
\(223\) | −12.3031 | − | 21.3096i | −0.823876 | − | 1.42699i | −0.902776 | − | 0.430112i | \(-0.858474\pi\) |
0.0789002 | − | 0.996883i | \(-0.474859\pi\) | |||||||
\(224\) | 2.81541 | + | 14.6994i | 0.188113 | + | 0.982147i | ||||
\(225\) | 11.2869 | + | 6.46394i | 0.752459 | + | 0.430930i | ||||
\(226\) | −7.39157 | − | 2.67278i | −0.491680 | − | 0.177790i | ||||
\(227\) | 10.9776 | − | 19.0138i | 0.728611 | − | 1.26199i | −0.228859 | − | 0.973459i | \(-0.573500\pi\) |
0.957470 | − | 0.288532i | \(-0.0931670\pi\) | |||||||
\(228\) | −8.98182 | − | 12.6665i | −0.594835 | − | 0.838859i | ||||
\(229\) | 9.27254 | − | 5.35350i | 0.612747 | − | 0.353769i | −0.161293 | − | 0.986907i | \(-0.551566\pi\) |
0.774040 | + | 0.633137i | \(0.218233\pi\) | |||||||
\(230\) | 7.02047 | + | 2.53858i | 0.462916 | + | 0.167389i | ||||
\(231\) | 20.0858 | + | 9.22048i | 1.32155 | + | 0.606663i | ||||
\(232\) | −8.84617 | + | 15.5470i | −0.580779 | + | 1.02071i | ||||
\(233\) | 2.17122 | − | 3.76066i | 0.142241 | − | 0.246369i | −0.786099 | − | 0.618101i | \(-0.787902\pi\) |
0.928340 | + | 0.371731i | \(0.121236\pi\) | |||||||
\(234\) | −10.1622 | − | 3.63449i | −0.664326 | − | 0.237594i | ||||
\(235\) | −6.76285 | + | 3.90453i | −0.441159 | + | 0.254704i | ||||
\(236\) | −21.0276 | + | 7.75343i | −1.36878 | + | 0.504705i | ||||
\(237\) | 12.4429 | + | 12.3995i | 0.808255 | + | 0.805432i | ||||
\(238\) | −0.0137434 | − | 2.17427i | −0.000890855 | − | 0.140937i | ||||
\(239\) | −9.17613 | − | 5.29784i | −0.593554 | − | 0.342689i | 0.172947 | − | 0.984931i | \(-0.444671\pi\) |
−0.766502 | + | 0.642242i | \(0.778004\pi\) | |||||||
\(240\) | −2.43838 | − | 5.09369i | −0.157397 | − | 0.328796i | ||||
\(241\) | −5.90935 | − | 3.41177i | −0.380655 | − | 0.219771i | 0.297448 | − | 0.954738i | \(-0.403864\pi\) |
−0.678103 | + | 0.734967i | \(0.737198\pi\) | |||||||
\(242\) | −13.2582 | + | 11.1724i | −0.852272 | + | 0.718192i | ||||
\(243\) | −10.9259 | + | 11.1187i | −0.700895 | + | 0.713264i | ||||
\(244\) | 5.01480 | + | 13.6003i | 0.321040 | + | 0.870672i | ||||
\(245\) | 3.70440 | + | 4.33973i | 0.236665 | + | 0.277255i | ||||
\(246\) | −3.67233 | − | 7.79691i | −0.234139 | − | 0.497113i | ||||
\(247\) | 9.87508 | − | 5.70138i | 0.628336 | − | 0.362770i | ||||
\(248\) | 13.7589 | + | 23.4887i | 0.873693 | + | 1.49154i | ||||
\(249\) | −2.74838 | − | 0.731276i | −0.174172 | − | 0.0463427i | ||||
\(250\) | −10.5941 | + | 1.89093i | −0.670028 | + | 0.119593i | ||||
\(251\) | −9.85832 | −0.622252 | −0.311126 | − | 0.950369i | \(-0.600706\pi\) | ||||
−0.311126 | + | 0.950369i | \(0.600706\pi\) | |||||||
\(252\) | −5.25127 | + | 14.9808i | −0.330799 | + | 0.943701i | ||||
\(253\) | 31.2336 | 1.96364 | ||||||||
\(254\) | −1.50273 | + | 0.268221i | −0.0942896 | + | 0.0168297i | ||||
\(255\) | 0.213726 | + | 0.792092i | 0.0133840 | + | 0.0496027i | ||||
\(256\) | 2.51370 | − | 15.8013i | 0.157106 | − | 0.987582i | ||||
\(257\) | 11.8534 | − | 6.84354i | 0.739392 | − | 0.426888i | −0.0824560 | − | 0.996595i | \(-0.526276\pi\) |
0.821848 | + | 0.569706i | \(0.192943\pi\) | |||||||
\(258\) | −13.3111 | − | 1.11300i | −0.828712 | − | 0.0692924i | ||||
\(259\) | 8.09213 | − | 2.98406i | 0.502820 | − | 0.185421i | ||||
\(260\) | 3.89095 | − | 1.43469i | 0.241306 | − | 0.0889759i | ||||
\(261\) | −16.3975 | + | 9.54374i | −1.01498 | + | 0.590742i | ||||
\(262\) | −9.46070 | + | 7.97233i | −0.584484 | + | 0.492532i | ||||
\(263\) | 13.5112 | + | 7.80071i | 0.833138 | + | 0.481013i | 0.854926 | − | 0.518750i | \(-0.173602\pi\) |
−0.0217878 | + | 0.999763i | \(0.506936\pi\) | |||||||
\(264\) | −16.8406 | − | 16.5720i | −1.03647 | − | 1.01993i | ||||
\(265\) | −1.54571 | − | 0.892417i | −0.0949523 | − | 0.0548207i | ||||
\(266\) | −8.47762 | − | 14.4716i | −0.519796 | − | 0.887313i | ||||
\(267\) | −3.68277 | + | 0.993704i | −0.225382 | + | 0.0608137i | ||||
\(268\) | 3.47382 | + | 9.42115i | 0.212198 | + | 0.575488i | ||||
\(269\) | 18.5276 | − | 10.6969i | 1.12965 | − | 0.652202i | 0.185801 | − | 0.982587i | \(-0.440512\pi\) |
0.943846 | + | 0.330386i | \(0.107179\pi\) | |||||||
\(270\) | 0.478208 | − | 5.97069i | 0.0291028 | − | 0.363365i | ||||
\(271\) | −1.36221 | + | 2.35942i | −0.0827485 | + | 0.143325i | −0.904430 | − | 0.426623i | \(-0.859703\pi\) |
0.821681 | + | 0.569948i | \(0.193036\pi\) | |||||||
\(272\) | −0.776661 | + | 2.19085i | −0.0470920 | + | 0.132840i | ||||
\(273\) | −10.5944 | − | 4.86341i | −0.641202 | − | 0.294347i | ||||
\(274\) | 11.4653 | + | 4.14583i | 0.692645 | + | 0.250459i | ||||
\(275\) | −18.1085 | + | 10.4549i | −1.09198 | + | 0.630457i | ||||
\(276\) | 2.08804 | + | 22.3367i | 0.125685 | + | 1.34451i | ||||
\(277\) | −5.69546 | + | 9.86482i | −0.342207 | + | 0.592720i | −0.984842 | − | 0.173453i | \(-0.944508\pi\) |
0.642635 | + | 0.766172i | \(0.277841\pi\) | |||||||
\(278\) | −12.3429 | − | 4.46318i | −0.740281 | − | 0.267684i | ||||
\(279\) | 0.101016 | + | 28.8730i | 0.00604766 | + | 1.72858i | ||||
\(280\) | −2.14638 | − | 5.70962i | −0.128271 | − | 0.341215i | ||||
\(281\) | −15.5146 | − | 26.8721i | −0.925524 | − | 1.60305i | −0.790716 | − | 0.612183i | \(-0.790292\pi\) |
−0.134808 | − | 0.990872i | \(-0.543042\pi\) | |||||||
\(282\) | −19.2747 | − | 13.3861i | −1.14779 | − | 0.797131i | ||||
\(283\) | 4.05561 | 0.241081 | 0.120540 | − | 0.992708i | \(-0.461537\pi\) | ||||
0.120540 | + | 0.992708i | \(0.461537\pi\) | |||||||
\(284\) | 2.52000 | + | 6.83434i | 0.149535 | + | 0.405544i | ||||
\(285\) | 4.48270 | + | 4.46705i | 0.265532 | + | 0.264605i | ||||
\(286\) | 13.2677 | − | 11.1804i | 0.784537 | − | 0.661112i | ||||
\(287\) | −3.22079 | − | 8.73407i | −0.190117 | − | 0.515556i | ||||
\(288\) | 10.7256 | − | 13.1514i | 0.632015 | − | 0.774957i | ||||
\(289\) | −8.33116 | + | 14.4300i | −0.490068 | + | 0.848823i | ||||
\(290\) | 2.47901 | − | 6.85573i | 0.145573 | − | 0.402582i | ||||
\(291\) | −3.16145 | + | 11.8818i | −0.185327 | + | 0.696522i | ||||
\(292\) | −3.33994 | + | 4.01445i | −0.195455 | + | 0.234928i | ||||
\(293\) | 18.5526 | + | 10.7113i | 1.08385 | + | 0.625762i | 0.931933 | − | 0.362631i | \(-0.118121\pi\) |
0.151919 | + | 0.988393i | \(0.451455\pi\) | |||||||
\(294\) | −7.05480 | + | 15.6279i | −0.411444 | + | 0.911435i | ||||
\(295\) | 7.91021 | − | 4.56696i | 0.460550 | − | 0.265899i | ||||
\(296\) | −9.22011 | + | 0.0579938i | −0.535908 | + | 0.00337082i | ||||
\(297\) | −6.61300 | − | 24.1719i | −0.383725 | − | 1.40260i | ||||
\(298\) | 11.8368 | − | 9.97462i | 0.685687 | − | 0.577814i | ||||
\(299\) | −16.4744 | −0.952737 | ||||||||
\(300\) | −8.68747 | − | 12.2514i | −0.501571 | − | 0.707334i | ||||
\(301\) | −14.2190 | − | 2.44532i | −0.819572 | − | 0.140946i | ||||
\(302\) | −0.182803 | + | 0.505542i | −0.0105191 | + | 0.0290907i | ||||
\(303\) | 15.7481 | − | 4.24922i | 0.904703 | − | 0.244112i | ||||
\(304\) | 3.26148 | + | 17.6308i | 0.187059 | + | 1.01120i | ||||
\(305\) | −2.95384 | − | 5.11620i | −0.169137 | − | 0.292953i | ||||
\(306\) | −1.87974 | + | 1.59530i | −0.107458 | + | 0.0911972i | ||||
\(307\) | 19.4087 | 1.10771 | 0.553856 | − | 0.832613i | \(-0.313156\pi\) | ||||
0.553856 | + | 0.832613i | \(0.313156\pi\) | |||||||
\(308\) | −16.5680 | − | 19.4107i | −0.944047 | − | 1.10603i | ||||
\(309\) | 8.62378 | + | 2.29457i | 0.490590 | + | 0.130534i | ||||
\(310\) | −7.14915 | − | 8.48383i | −0.406044 | − | 0.481849i | ||||
\(311\) | −10.7296 | −0.608419 | −0.304209 | − | 0.952605i | \(-0.598392\pi\) | ||||
−0.304209 | + | 0.952605i | \(0.598392\pi\) | |||||||
\(312\) | 8.88268 | + | 8.74100i | 0.502883 | + | 0.494862i | ||||
\(313\) | 24.4060i | 1.37951i | 0.724044 | + | 0.689754i | \(0.242281\pi\) | ||||
−0.724044 | + | 0.689754i | \(0.757719\pi\) | |||||||
\(314\) | 6.90844 | − | 1.23309i | 0.389866 | − | 0.0695870i | ||||
\(315\) | 1.07422 | − | 6.37993i | 0.0605254 | − | 0.359469i | ||||
\(316\) | −7.01732 | − | 19.0312i | −0.394755 | − | 1.07059i | ||||
\(317\) | 32.1240 | 1.80426 | 0.902132 | − | 0.431460i | \(-0.142001\pi\) | ||||
0.902132 | + | 0.431460i | \(0.142001\pi\) | |||||||
\(318\) | 0.446916 | − | 5.34495i | 0.0250618 | − | 0.299730i | ||||
\(319\) | − | 30.5006i | − | 1.70771i | ||||||
\(320\) | 0.0820284 | + | 6.52037i | 0.00458553 | + | 0.364500i | ||||
\(321\) | 20.2098 | − | 5.45310i | 1.12800 | − | 0.304363i | ||||
\(322\) | 0.153163 | + | 24.2311i | 0.00853546 | + | 1.35035i | ||||
\(323\) | − | 2.60483i | − | 0.144936i | ||||||
\(324\) | 16.8445 | − | 6.34525i | 0.935807 | − | 0.352514i | ||||
\(325\) | 9.55146 | − | 5.51454i | 0.529819 | − | 0.305891i | ||||
\(326\) | −9.99216 | + | 27.6334i | −0.553415 | + | 1.53047i | ||||
\(327\) | 6.15795 | + | 1.63848i | 0.340535 | + | 0.0906080i | ||||
\(328\) | 0.0625944 | + | 9.95154i | 0.00345620 | + | 0.549482i | ||||
\(329\) | −19.4858 | − | 16.2108i | −1.07429 | − | 0.893728i | ||||
\(330\) | 7.90904 | + | 5.49276i | 0.435379 | + | 0.302367i | ||||
\(331\) | − | 26.1463i | − | 1.43713i | −0.695460 | − | 0.718565i | \(-0.744799\pi\) | ||
0.695460 | − | 0.718565i | \(-0.255201\pi\) | |||||||
\(332\) | 2.52450 | + | 2.10033i | 0.138550 | + | 0.115271i | ||||
\(333\) | −8.48644 | − | 4.86014i | −0.465054 | − | 0.266334i | ||||
\(334\) | −2.73574 | − | 0.989236i | −0.149693 | − | 0.0541286i | ||||
\(335\) | −2.04617 | − | 3.54407i | −0.111794 | − | 0.193633i | ||||
\(336\) | 12.7740 | − | 13.1463i | 0.696880 | − | 0.717188i | ||||
\(337\) | 2.89594 | − | 5.01591i | 0.157752 | − | 0.273234i | −0.776306 | − | 0.630356i | \(-0.782909\pi\) |
0.934058 | + | 0.357122i | \(0.116242\pi\) | |||||||
\(338\) | 7.06059 | − | 5.94981i | 0.384046 | − | 0.323627i | ||||
\(339\) | 2.50777 | + | 9.29407i | 0.136203 | + | 0.504784i | ||||
\(340\) | 0.160590 | − | 0.933628i | 0.00870923 | − | 0.0506331i | ||||
\(341\) | −40.1981 | − | 23.2084i | −2.17685 | − | 1.25681i | ||||
\(342\) | −6.40431 | + | 17.9068i | −0.346306 | + | 0.968290i | ||||
\(343\) | −9.05613 | + | 16.1551i | −0.488985 | + | 0.872292i | ||||
\(344\) | 13.4058 | + | 7.62781i | 0.722791 | + | 0.411264i | ||||
\(345\) | −2.38187 | − | 8.82745i | −0.128235 | − | 0.475254i | ||||
\(346\) | −20.0840 | + | 3.58479i | −1.07973 | + | 0.192720i | ||||
\(347\) | 14.9047i | 0.800126i | 0.916488 | + | 0.400063i | \(0.131012\pi\) | ||||
−0.916488 | + | 0.400063i | \(0.868988\pi\) | |||||||
\(348\) | 21.8126 | − | 2.03904i | 1.16928 | − | 0.109304i | ||||
\(349\) | 2.24929 | − | 1.29863i | 0.120402 | − | 0.0695140i | −0.438590 | − | 0.898687i | \(-0.644522\pi\) |
0.558991 | + | 0.829173i | \(0.311188\pi\) | |||||||
\(350\) | −8.19979 | − | 13.9974i | −0.438297 | − | 0.748192i | ||||
\(351\) | 3.48808 | + | 12.7497i | 0.186180 | + | 0.680527i | ||||
\(352\) | 9.59926 | + | 25.5376i | 0.511642 | + | 1.36116i | ||||
\(353\) | −11.6633 | − | 6.73382i | −0.620775 | − | 0.358405i | 0.156395 | − | 0.987695i | \(-0.450013\pi\) |
−0.777171 | + | 0.629290i | \(0.783346\pi\) | |||||||
\(354\) | 22.5448 | + | 15.6572i | 1.19824 | + | 0.832168i | ||||
\(355\) | −1.48434 | − | 2.57096i | −0.0787808 | − | 0.136452i | ||||
\(356\) | 4.34084 | + | 0.746652i | 0.230064 | + | 0.0395725i | ||||
\(357\) | −2.17223 | + | 1.54043i | −0.114966 | + | 0.0815281i | ||||
\(358\) | −3.52766 | − | 4.18625i | −0.186443 | − | 0.221250i | ||||
\(359\) | −15.7293 | − | 9.08130i | −0.830159 | − | 0.479293i | 0.0237479 | − | 0.999718i | \(-0.492440\pi\) |
−0.853907 | + | 0.520425i | \(0.825773\pi\) | |||||||
\(360\) | −3.39942 | + | 6.02338i | −0.179165 | + | 0.317460i | ||||
\(361\) | −0.546375 | − | 0.946350i | −0.0287566 | − | 0.0498079i | ||||
\(362\) | 34.6194 | − | 6.17921i | 1.81956 | − | 0.324772i | ||||
\(363\) | 20.5206 | + | 5.46002i | 1.07705 | + | 0.286577i | ||||
\(364\) | 8.73889 | + | 10.2383i | 0.458042 | + | 0.536635i | ||||
\(365\) | 1.06416 | − | 1.84318i | 0.0557007 | − | 0.0964764i | ||||
\(366\) | 10.1268 | − | 14.5816i | 0.529337 | − | 0.762194i | ||||
\(367\) | −5.58683 | + | 9.67667i | −0.291630 | + | 0.505118i | −0.974195 | − | 0.225707i | \(-0.927531\pi\) |
0.682565 | + | 0.730825i | \(0.260864\pi\) | |||||||
\(368\) | 8.65547 | − | 24.4159i | 0.451198 | − | 1.27277i | ||||
\(369\) | −5.24569 | + | 9.15967i | −0.273080 | + | 0.476833i | ||||
\(370\) | 3.69931 | − | 0.660289i | 0.192318 | − | 0.0343268i | ||||
\(371\) | 0.981896 | − | 5.70954i | 0.0509775 | − | 0.296425i | ||||
\(372\) | 13.9102 | − | 30.2993i | 0.721211 | − | 1.57095i | ||||
\(373\) | 15.4012 | + | 26.6757i | 0.797445 | + | 1.38121i | 0.921275 | + | 0.388911i | \(0.127149\pi\) |
−0.123831 | + | 0.992303i | \(0.539518\pi\) | |||||||
\(374\) | −0.696433 | − | 3.90182i | −0.0360117 | − | 0.201758i | ||||
\(375\) | 9.33603 | + | 9.30343i | 0.482111 | + | 0.480427i | ||||
\(376\) | 13.6960 | + | 23.3813i | 0.706319 | + | 1.20580i | ||||
\(377\) | 16.0878i | 0.828563i | ||||||||
\(378\) | 18.7203 | − | 5.24893i | 0.962867 | − | 0.269976i | ||||
\(379\) | − | 5.54837i | − | 0.285001i | −0.989795 | − | 0.142500i | \(-0.954486\pi\) | ||
0.989795 | − | 0.142500i | \(-0.0455142\pi\) | |||||||
\(380\) | −2.52807 | − | 6.85622i | −0.129687 | − | 0.351717i | ||||
\(381\) | 1.32428 | + | 1.31965i | 0.0678449 | + | 0.0676080i | ||||
\(382\) | −25.8031 | + | 4.60558i | −1.32020 | + | 0.235642i | ||||
\(383\) | −4.30672 | − | 7.45945i | −0.220063 | − | 0.381160i | 0.734764 | − | 0.678323i | \(-0.237293\pi\) |
−0.954827 | + | 0.297163i | \(0.903960\pi\) | |||||||
\(384\) | −17.6215 | + | 8.57218i | −0.899244 | + | 0.437447i | ||||
\(385\) | 7.99567 | + | 6.65181i | 0.407497 | + | 0.339008i | ||||
\(386\) | 6.54794 | + | 36.6853i | 0.333281 | + | 1.86723i | ||||
\(387\) | 8.22930 | + | 14.1391i | 0.418319 | + | 0.718731i | ||||
\(388\) | 9.08013 | − | 10.9139i | 0.460974 | − | 0.554069i | ||||
\(389\) | −1.74069 | + | 3.01496i | −0.0882563 | + | 0.152864i | −0.906774 | − | 0.421617i | \(-0.861463\pi\) |
0.818518 | + | 0.574481i | \(0.194796\pi\) | |||||||
\(390\) | −4.17168 | − | 2.89720i | −0.211241 | − | 0.146705i | ||||
\(391\) | −1.88169 | + | 3.25918i | −0.0951611 | + | 0.164824i | ||||
\(392\) | 14.9777 | − | 12.9487i | 0.756488 | − | 0.654008i | ||||
\(393\) | 14.6429 | + | 3.89611i | 0.738637 | + | 0.196533i | ||||
\(394\) | −1.25636 | − | 7.03882i | −0.0632943 | − | 0.354611i | ||||
\(395\) | 4.13338 | + | 7.15922i | 0.207973 | + | 0.360219i | ||||
\(396\) | −4.80552 | + | 28.5352i | −0.241486 | + | 1.43395i | ||||
\(397\) | −15.5989 | − | 9.00601i | −0.782885 | − | 0.451999i | 0.0545667 | − | 0.998510i | \(-0.482622\pi\) |
−0.837452 | + | 0.546511i | \(0.815956\pi\) | |||||||
\(398\) | 23.6235 | − | 19.9070i | 1.18414 | − | 0.997848i | ||||
\(399\) | −8.56979 | + | 18.6683i | −0.429026 | + | 0.934585i | ||||
\(400\) | 3.15460 | + | 17.0531i | 0.157730 | + | 0.852653i | ||||
\(401\) | −7.15282 | − | 12.3891i | −0.357195 | − | 0.618680i | 0.630296 | − | 0.776355i | \(-0.282933\pi\) |
−0.987491 | + | 0.157675i | \(0.949600\pi\) | |||||||
\(402\) | 7.01499 | − | 10.1009i | 0.349876 | − | 0.503787i | ||||
\(403\) | 21.2028 | + | 12.2414i | 1.05619 | + | 0.609790i | ||||
\(404\) | −18.5621 | − | 3.19279i | −0.923497 | − | 0.158847i | ||||
\(405\) | −6.32733 | + | 3.71236i | −0.314408 | + | 0.184469i | ||||
\(406\) | 23.6625 | − | 0.149569i | 1.17435 | − | 0.00742300i | ||||
\(407\) | 13.6155 | − | 7.86091i | 0.674895 | − | 0.389651i | ||||
\(408\) | 2.74383 | − | 0.758901i | 0.135840 | − | 0.0375712i | ||||
\(409\) | 39.1722i | 1.93694i | 0.249133 | + | 0.968469i | \(0.419854\pi\) | ||||
−0.249133 | + | 0.968469i | \(0.580146\pi\) | |||||||
\(410\) | −0.712670 | − | 3.99278i | −0.0351962 | − | 0.197189i | ||||
\(411\) | −3.88989 | − | 14.4163i | −0.191874 | − | 0.711105i | ||||
\(412\) | −7.92129 | − | 6.59035i | −0.390254 | − | 0.324683i | ||||
\(413\) | 22.7917 | + | 18.9610i | 1.12151 | + | 0.933011i | ||||
\(414\) | 20.9488 | − | 17.7788i | 1.02958 | − | 0.873779i | ||||
\(415\) | −1.15909 | − | 0.669200i | −0.0568974 | − | 0.0328497i | ||||
\(416\) | −5.06320 | − | 13.4700i | −0.248244 | − | 0.660420i | ||||
\(417\) | 4.18765 | + | 15.5199i | 0.205070 | + | 0.760011i | ||||
\(418\) | −19.7010 | − | 23.3790i | −0.963606 | − | 1.14350i | ||||
\(419\) | −11.3503 | + | 19.6592i | −0.554497 | + | 0.960417i | 0.443446 | + | 0.896301i | \(0.353756\pi\) |
−0.997942 | + | 0.0641156i | \(0.979577\pi\) | |||||||
\(420\) | −4.22253 | + | 6.16281i | −0.206038 | + | 0.300714i | ||||
\(421\) | −0.931761 | − | 1.61386i | −0.0454113 | − | 0.0786546i | 0.842426 | − | 0.538811i | \(-0.181126\pi\) |
−0.887838 | + | 0.460157i | \(0.847793\pi\) | |||||||
\(422\) | −12.3313 | + | 34.1022i | −0.600277 | + | 1.66007i | ||||
\(423\) | 0.100554 | + | 28.7410i | 0.00488910 | + | 1.39743i | ||||
\(424\) | −3.06288 | + | 5.38298i | −0.148747 | + | 0.261421i | ||||
\(425\) | − | 2.51946i | − | 0.122212i | ||||||
\(426\) | 5.08885 | − | 7.32745i | 0.246556 | − | 0.355016i | ||||
\(427\) | 12.2637 | − | 14.7413i | 0.593482 | − | 0.713383i | ||||
\(428\) | −23.8210 | − | 4.09737i | −1.15143 | − | 0.198054i | ||||
\(429\) | −20.5353 | − | 5.46392i | −0.991452 | − | 0.263801i | ||||
\(430\) | −5.91150 | − | 2.13759i | −0.285078 | − | 0.103084i | ||||
\(431\) | −3.78493 | + | 2.18523i | −0.182314 | + | 0.105259i | −0.588379 | − | 0.808585i | \(-0.700234\pi\) |
0.406065 | + | 0.913844i | \(0.366900\pi\) | |||||||
\(432\) | −20.7283 | − | 1.52903i | −0.997290 | − | 0.0735656i | ||||
\(433\) | 9.78275i | 0.470129i | 0.971980 | + | 0.235065i | \(0.0755302\pi\) | ||||
−0.971980 | + | 0.235065i | \(0.924470\pi\) | |||||||
\(434\) | 17.8081 | − | 31.2997i | 0.854815 | − | 1.50244i | ||||
\(435\) | −8.62030 | + | 2.32597i | −0.413312 | + | 0.111522i | ||||
\(436\) | −5.65632 | − | 4.70594i | −0.270889 | − | 0.225374i | ||||
\(437\) | 29.0294i | 1.38867i | ||||||||
\(438\) | 6.37358 | + | 0.532924i | 0.304541 | + | 0.0254641i | ||||
\(439\) | 0.385147 | 0.0183821 | 0.00919103 | − | 0.999958i | \(-0.497074\pi\) | ||||
0.00919103 | + | 0.999958i | \(0.497074\pi\) | |||||||
\(440\) | −5.61994 | − | 9.59414i | −0.267920 | − | 0.457383i | ||||
\(441\) | 20.6359 | − | 3.89342i | 0.982663 | − | 0.185401i | ||||
\(442\) | 0.367339 | + | 2.05804i | 0.0174725 | + | 0.0978911i | ||||
\(443\) | − | 16.1931i | − | 0.769360i | −0.923050 | − | 0.384680i | \(-0.874312\pi\) | ||
0.923050 | − | 0.384680i | \(-0.125688\pi\) | |||||||
\(444\) | 6.53197 | + | 9.21163i | 0.309994 | + | 0.437165i | ||||
\(445\) | −1.79511 | −0.0850964 | ||||||||
\(446\) | 26.6101 | − | 22.4238i | 1.26003 | − | 1.06180i | ||||
\(447\) | −18.3205 | − | 4.87464i | −0.866532 | − | 0.230563i | ||||
\(448\) | −19.7651 | + | 7.57239i | −0.933813 | + | 0.357762i | ||||
\(449\) | −33.2361 | −1.56851 | −0.784253 | − | 0.620441i | \(-0.786954\pi\) | ||||
−0.784253 | + | 0.620441i | \(0.786954\pi\) | |||||||
\(450\) | −6.19443 | + | 17.3200i | −0.292008 | + | 0.816472i | ||||
\(451\) | −8.48451 | − | 14.6956i | −0.399520 | − | 0.691989i | ||||
\(452\) | 1.88430 | − | 10.9548i | 0.0886299 | − | 0.515270i | ||||
\(453\) | 0.635662 | − | 0.171518i | 0.0298660 | − | 0.00805860i | ||||
\(454\) | 29.1991 | + | 10.5583i | 1.37038 | + | 0.495527i | ||||
\(455\) | −4.21738 | − | 3.50855i | −0.197714 | − | 0.164483i | ||||
\(456\) | 15.4025 | − | 15.6521i | 0.721287 | − | 0.732979i | ||||
\(457\) | −5.53862 | −0.259086 | −0.129543 | − | 0.991574i | \(-0.541351\pi\) | ||||
−0.129543 | + | 0.991574i | \(0.541351\pi\) | |||||||
\(458\) | 9.75738 | + | 11.5790i | 0.455933 | + | 0.541051i | ||||
\(459\) | 2.92071 | + | 0.766198i | 0.136327 | + | 0.0357630i | ||||
\(460\) | −1.78969 | + | 10.4048i | −0.0834449 | + | 0.485126i | ||||
\(461\) | −5.35007 | + | 3.08886i | −0.249178 | + | 0.143863i | −0.619388 | − | 0.785085i | \(-0.712619\pi\) |
0.370210 | + | 0.928948i | \(0.379286\pi\) | |||||||
\(462\) | −7.84563 | + | 30.2549i | −0.365012 | + | 1.40758i | ||||
\(463\) | 10.1830 | + | 5.87914i | 0.473243 | + | 0.273227i | 0.717596 | − | 0.696459i | \(-0.245242\pi\) |
−0.244353 | + | 0.969686i | \(0.578576\pi\) | |||||||
\(464\) | −23.8430 | − | 8.45237i | −1.10688 | − | 0.392391i | ||||
\(465\) | −3.49382 | + | 13.1310i | −0.162022 | + | 0.608933i | ||||
\(466\) | 5.77517 | + | 2.08829i | 0.267530 | + | 0.0967381i | ||||
\(467\) | 13.8715 | − | 24.0262i | 0.641897 | − | 1.11180i | −0.343112 | − | 0.939295i | \(-0.611481\pi\) |
0.985009 | − | 0.172504i | \(-0.0551858\pi\) | |||||||
\(468\) | 2.53471 | − | 15.0511i | 0.117167 | − | 0.695738i | ||||
\(469\) | 8.49524 | − | 10.2115i | 0.392274 | − | 0.471525i | ||||
\(470\) | −7.11646 | − | 8.44505i | −0.328258 | − | 0.389541i | ||||
\(471\) | −6.08807 | − | 6.06680i | −0.280523 | − | 0.279544i | ||||
\(472\) | −16.0197 | − | 27.3482i | −0.737365 | − | 1.25880i | ||||
\(473\) | −26.2999 | −1.20927 | ||||||||
\(474\) | −14.1707 | + | 20.4044i | −0.650880 | + | 0.937205i | ||||
\(475\) | −9.71714 | − | 16.8306i | −0.445853 | − | 0.772240i | ||||
\(476\) | 3.02363 | − | 0.559430i | 0.138588 | − | 0.0256414i | ||||
\(477\) | −5.67744 | + | 3.30441i | −0.259952 | + | 0.151298i | ||||
\(478\) | 5.09549 | − | 14.0916i | 0.233062 | − | 0.644534i | ||||
\(479\) | −3.57520 | + | 6.19243i | −0.163355 | + | 0.282939i | −0.936070 | − | 0.351814i | \(-0.885565\pi\) |
0.772715 | + | 0.634753i | \(0.218898\pi\) | |||||||
\(480\) | 6.48557 | − | 4.66050i | 0.296024 | − | 0.212722i | ||||
\(481\) | −7.18159 | + | 4.14629i | −0.327452 | + | 0.189055i | ||||
\(482\) | 3.28145 | − | 9.07487i | 0.149466 | − | 0.413349i | ||||
\(483\) | 24.2083 | − | 17.1673i | 1.10152 | − | 0.781138i | ||||
\(484\) | −18.8490 | − | 15.6820i | −0.856773 | − | 0.712817i | ||||
\(485\) | −2.89308 | + | 5.01096i | −0.131368 | + | 0.227536i | ||||
\(486\) | −18.1946 | − | 12.4482i | −0.825323 | − | 0.564661i | ||||
\(487\) | 6.67495 | − | 3.85379i | 0.302471 | − | 0.174632i | −0.341081 | − | 0.940034i | \(-0.610793\pi\) |
0.643552 | + | 0.765402i | \(0.277460\pi\) | |||||||
\(488\) | −17.6884 | + | 10.3613i | −0.800715 | + | 0.469033i | ||||
\(489\) | 34.7458 | − | 9.37529i | 1.57126 | − | 0.423965i | ||||
\(490\) | −5.12130 | + | 6.23570i | −0.231357 | + | 0.281700i | ||||
\(491\) | −22.3770 | − | 12.9194i | −1.00986 | − | 0.583043i | −0.0987099 | − | 0.995116i | \(-0.531472\pi\) |
−0.911151 | + | 0.412073i | \(0.864805\pi\) | |||||||
\(492\) | 9.94239 | − | 7.05015i | 0.448237 | − | 0.317846i | ||||
\(493\) | 3.18270 | + | 1.83753i | 0.143342 | + | 0.0827583i | ||||
\(494\) | 10.3914 | + | 12.3314i | 0.467532 | + | 0.554817i | ||||
\(495\) | −0.0412606 | − | 11.7934i | −0.00185453 | − | 0.530072i | ||||
\(496\) | −29.2822 | + | 24.9922i | −1.31481 | + | 1.12218i | ||||
\(497\) | 6.16267 | − | 7.40771i | 0.276433 | − | 0.332281i | ||||
\(498\) | 0.335131 | − | 4.00804i | 0.0150176 | − | 0.179605i | ||||
\(499\) | −32.2276 | + | 18.6066i | −1.44271 | + | 0.832947i | −0.998030 | − | 0.0627448i | \(-0.980015\pi\) |
−0.444676 | + | 0.895691i | \(0.646681\pi\) | |||||||
\(500\) | −5.26515 | − | 14.2793i | −0.235465 | − | 0.638590i | ||||
\(501\) | 0.928166 | + | 3.43988i | 0.0414674 | + | 0.153683i | ||||
\(502\) | −2.44974 | − | 13.7249i | −0.109337 | − | 0.612571i | ||||
\(503\) | 11.8075 | 0.526469 | 0.263235 | − | 0.964732i | \(-0.415211\pi\) | ||||
0.263235 | + | 0.964732i | \(0.415211\pi\) | |||||||
\(504\) | −22.1613 | − | 3.58821i | −0.987144 | − | 0.159832i | ||||
\(505\) | 7.67615 | 0.341584 | ||||||||
\(506\) | 7.76138 | + | 43.4837i | 0.345036 | + | 1.93309i | ||||
\(507\) | −10.9281 | − | 2.90770i | −0.485334 | − | 0.129135i | ||||
\(508\) | −0.746842 | − | 2.02546i | −0.0331357 | − | 0.0898654i | ||||
\(509\) | 3.18924 | − | 1.84131i | 0.141361 | − | 0.0816146i | −0.427652 | − | 0.903944i | \(-0.640659\pi\) |
0.569012 | + | 0.822329i | \(0.307326\pi\) | |||||||
\(510\) | −1.04965 | + | 0.494383i | −0.0464792 | + | 0.0218916i | ||||
\(511\) | 6.80833 | + | 1.17086i | 0.301183 | + | 0.0517958i | ||||
\(512\) | 22.6234 | − | 0.426943i | 0.999822 | − | 0.0188684i | ||||
\(513\) | 22.4661 | − | 6.14633i | 0.991904 | − | 0.271367i | ||||
\(514\) | 12.4732 | + | 14.8018i | 0.550167 | + | 0.652879i | ||||
\(515\) | 3.63695 | + | 2.09979i | 0.160263 | + | 0.0925280i | ||||
\(516\) | −1.75821 | − | 18.8084i | −0.0774007 | − | 0.827994i | ||||
\(517\) | −40.0144 | − | 23.1023i | −1.75983 | − | 1.01604i | ||||
\(518\) | 6.16530 | + | 10.5244i | 0.270888 | + | 0.462416i | ||||
\(519\) | 17.6991 | + | 17.6373i | 0.776903 | + | 0.774189i | ||||
\(520\) | 2.96428 | + | 5.06050i | 0.129992 | + | 0.221918i | ||||
\(521\) | −10.9116 | + | 6.29980i | −0.478045 | + | 0.275999i | −0.719601 | − | 0.694387i | \(-0.755675\pi\) |
0.241557 | + | 0.970387i | \(0.422342\pi\) | |||||||
\(522\) | −17.3616 | − | 20.4572i | −0.759896 | − | 0.895386i | ||||
\(523\) | −9.32093 | + | 16.1443i | −0.407576 | + | 0.705942i | −0.994618 | − | 0.103615i | \(-0.966959\pi\) |
0.587042 | + | 0.809557i | \(0.300292\pi\) | |||||||
\(524\) | −13.4501 | − | 11.1902i | −0.587571 | − | 0.488846i | ||||
\(525\) | −8.28895 | + | 18.0565i | −0.361759 | + | 0.788052i | ||||
\(526\) | −7.50276 | + | 20.7489i | −0.327136 | + | 0.904696i | ||||
\(527\) | 4.84353 | − | 2.79641i | 0.210988 | − | 0.121814i | ||||
\(528\) | 18.8869 | − | 27.5637i | 0.821945 | − | 1.19955i | ||||
\(529\) | 9.47042 | − | 16.4033i | 0.411758 | − | 0.713185i | ||||
\(530\) | 0.858330 | − | 2.37372i | 0.0372835 | − | 0.103108i | ||||
\(531\) | −0.117614 | − | 33.6171i | −0.00510400 | − | 1.45886i | ||||
\(532\) | 18.0409 | − | 15.3988i | 0.782173 | − | 0.667621i | ||||
\(533\) | 4.47522 | + | 7.75131i | 0.193843 | + | 0.335746i | ||||
\(534\) | −2.29860 | − | 4.88026i | −0.0994700 | − | 0.211190i | ||||
\(535\) | 9.85094 | 0.425893 | ||||||||
\(536\) | −12.2530 | + | 7.17740i | −0.529249 | + | 0.310017i | ||||
\(537\) | −1.72398 | + | 6.47931i | −0.0743954 | + | 0.279603i | ||||
\(538\) | 19.4964 | + | 23.1362i | 0.840548 | + | 0.997471i | ||||
\(539\) | −11.2781 | + | 31.8203i | −0.485783 | + | 1.37060i | ||||
\(540\) | 8.43129 | − | 0.817922i | 0.362825 | − | 0.0351977i | ||||
\(541\) | −9.06775 | + | 15.7058i | −0.389853 | + | 0.675245i | −0.992429 | − | 0.122816i | \(-0.960807\pi\) |
0.602577 | + | 0.798061i | \(0.294141\pi\) | |||||||
\(542\) | −3.62331 | − | 1.31018i | −0.155635 | − | 0.0562771i | ||||
\(543\) | −30.5084 | − | 30.4018i | −1.30924 | − | 1.30467i | ||||
\(544\) | −3.24312 | − | 0.536859i | −0.139048 | − | 0.0230176i | ||||
\(545\) | 2.59702 | + | 1.49939i | 0.111244 | + | 0.0642269i | ||||
\(546\) | 4.13824 | − | 15.9582i | 0.177100 | − | 0.682946i | ||||
\(547\) | −24.9748 | + | 14.4192i | −1.06784 | + | 0.616520i | −0.927592 | − | 0.373596i | \(-0.878125\pi\) |
−0.140252 | + | 0.990116i | \(0.544791\pi\) | |||||||
\(548\) | −2.92279 | + | 16.9923i | −0.124856 | + | 0.725877i | ||||
\(549\) | −21.7430 | + | 0.0760707i | −0.927969 | + | 0.00324662i | ||||
\(550\) | −19.0553 | − | 22.6128i | −0.812523 | − | 0.964214i | ||||
\(551\) | 28.3482 | 1.20767 | ||||||||
\(552\) | −30.5786 | + | 8.45756i | −1.30151 | + | 0.359978i | ||||
\(553\) | −17.1609 | + | 20.6279i | −0.729755 | + | 0.877186i | ||||
\(554\) | −15.1492 | − | 5.47792i | −0.643628 | − | 0.232734i | ||||
\(555\) | −3.26002 | − | 3.24863i | −0.138380 | − | 0.137897i | ||||
\(556\) | 3.14653 | − | 18.2931i | 0.133442 | − | 0.775799i | ||||
\(557\) | −6.31355 | − | 10.9354i | −0.267514 | − | 0.463347i | 0.700705 | − | 0.713451i | \(-0.252869\pi\) |
−0.968219 | + | 0.250103i | \(0.919535\pi\) | |||||||
\(558\) | −40.1721 | + | 7.31542i | −1.70062 | + | 0.309686i | ||||
\(559\) | 13.8721 | 0.586725 | ||||||||
\(560\) | 7.41562 | − | 4.40702i | 0.313367 | − | 0.186231i | ||||
\(561\) | −3.42647 | + | 3.43847i | −0.144666 | + | 0.145173i | ||||
\(562\) | 33.5563 | − | 28.2772i | 1.41549 | − | 1.19280i | ||||
\(563\) | −9.37380 | −0.395059 | −0.197529 | − | 0.980297i | \(-0.563292\pi\) | ||||
−0.197529 | + | 0.980297i | \(0.563292\pi\) | |||||||
\(564\) | 13.8466 | − | 30.1608i | 0.583048 | − | 1.27000i | ||||
\(565\) | 4.53025i | 0.190589i | ||||||||
\(566\) | 1.00780 | + | 5.64626i | 0.0423609 | + | 0.237330i | ||||
\(567\) | −18.4115 | − | 15.1003i | −0.773209 | − | 0.634151i | ||||
\(568\) | −8.88863 | + | 5.20667i | −0.372959 | + | 0.218467i | ||||
\(569\) | 39.3939 | 1.65148 | 0.825739 | − | 0.564053i | \(-0.190759\pi\) | ||||
0.825739 | + | 0.564053i | \(0.190759\pi\) | |||||||
\(570\) | −5.10514 | + | 7.35091i | −0.213831 | + | 0.307896i | ||||
\(571\) | − | 5.77562i | − | 0.241702i | −0.992671 | − | 0.120851i | \(-0.961438\pi\) | ||
0.992671 | − | 0.120851i | \(-0.0385624\pi\) | |||||||
\(572\) | 18.8625 | + | 15.6932i | 0.788679 | + | 0.656165i | ||||
\(573\) | 22.7390 | + | 22.6596i | 0.949934 | + | 0.946617i | ||||
\(574\) | 11.3593 | − | 6.65439i | 0.474129 | − | 0.277749i | ||||
\(575\) | 28.0781i | 1.17094i | ||||||||
\(576\) | 20.9749 | + | 11.6643i | 0.873952 | + | 0.486012i | ||||
\(577\) | −25.4955 | + | 14.7198i | −1.06139 | + | 0.612794i | −0.925817 | − | 0.377973i | \(-0.876621\pi\) |
−0.135574 | + | 0.990767i | \(0.543288\pi\) | |||||||
\(578\) | −22.1598 | − | 8.01294i | −0.921727 | − | 0.333294i | ||||
\(579\) | 32.2160 | − | 32.3289i | 1.33885 | − | 1.34354i | ||||
\(580\) | 10.1606 | + | 1.74770i | 0.421898 | + | 0.0725691i | ||||
\(581\) | 0.736299 | − | 4.28144i | 0.0305468 | − | 0.177624i | ||||
\(582\) | −17.3275 | − | 1.44884i | −0.718250 | − | 0.0600562i | ||||
\(583\) | − | 10.5605i | − | 0.437371i | ||||||
\(584\) | −6.41892 | − | 3.65233i | −0.265617 | − | 0.151134i | ||||
\(585\) | 0.0217632 | + | 6.22050i | 0.000899798 | + | 0.257186i | ||||
\(586\) | −10.3022 | + | 28.4908i | −0.425580 | + | 1.17694i | ||||
\(587\) | −2.66633 | − | 4.61821i | −0.110051 | − | 0.190614i | 0.805740 | − | 0.592270i | \(-0.201768\pi\) |
−0.915791 | + | 0.401656i | \(0.868435\pi\) | |||||||
\(588\) | −23.5103 | − | 5.93832i | −0.969550 | − | 0.244892i | ||||
\(589\) | 21.5706 | − | 37.3614i | 0.888801 | − | 1.53945i | ||||
\(590\) | 8.32382 | + | 9.87781i | 0.342686 | + | 0.406663i | ||||
\(591\) | −6.18129 | + | 6.20296i | −0.254264 | + | 0.255156i | ||||
\(592\) | −2.37189 | − | 12.8219i | −0.0974842 | − | 0.526978i | ||||
\(593\) | 37.9363 | + | 21.9025i | 1.55786 | + | 0.899429i | 0.997462 | + | 0.0712043i | \(0.0226842\pi\) |
0.560396 | + | 0.828225i | \(0.310649\pi\) | |||||||
\(594\) | 32.0091 | − | 15.2133i | 1.31335 | − | 0.624209i | ||||
\(595\) | −1.17581 | + | 0.433594i | −0.0482036 | + | 0.0177756i | ||||
\(596\) | 16.8282 | + | 14.0007i | 0.689308 | + | 0.573490i | ||||
\(597\) | −36.5635 | − | 9.72865i | −1.49645 | − | 0.398167i | ||||
\(598\) | −4.09380 | − | 22.9358i | −0.167408 | − | 0.937914i | ||||
\(599\) | − | 22.8992i | − | 0.935635i | −0.883825 | − | 0.467817i | \(-0.845041\pi\) | ||
0.883825 | − | 0.467817i | \(-0.154959\pi\) | |||||||
\(600\) | 14.8977 | − | 15.1392i | 0.608197 | − | 0.618055i | ||||
\(601\) | 23.6446 | − | 13.6512i | 0.964482 | − | 0.556844i | 0.0669322 | − | 0.997758i | \(-0.478679\pi\) |
0.897549 | + | 0.440914i | \(0.145346\pi\) | |||||||
\(602\) | −0.128969 | − | 20.4036i | −0.00525640 | − | 0.831587i | ||||
\(603\) | −15.0617 | + | 0.0526953i | −0.613359 | + | 0.00214592i | ||||
\(604\) | −0.749247 | − | 0.128875i | −0.0304864 | − | 0.00524386i | ||||
\(605\) | 8.65425 | + | 4.99654i | 0.351845 | + | 0.203138i | ||||
\(606\) | 9.82913 | + | 20.8687i | 0.399281 | + | 0.847734i | ||||
\(607\) | 5.86613 | + | 10.1604i | 0.238099 | + | 0.412399i | 0.960169 | − | 0.279421i | \(-0.0901424\pi\) |
−0.722070 | + | 0.691820i | \(0.756809\pi\) | |||||||
\(608\) | −23.7354 | + | 8.92185i | −0.962597 | + | 0.361829i | ||||
\(609\) | −16.7644 | − | 23.6403i | −0.679329 | − | 0.957951i | ||||
\(610\) | 6.38882 | − | 5.38372i | 0.258676 | − | 0.217981i | ||||
\(611\) | 21.1059 | + | 12.1855i | 0.853852 | + | 0.492972i | ||||
\(612\) | −2.68810 | − | 2.22057i | −0.108660 | − | 0.0897614i | ||||
\(613\) | −1.66771 | − | 2.88856i | −0.0673582 | − | 0.116668i | 0.830379 | − | 0.557198i | \(-0.188124\pi\) |
−0.897738 | + | 0.440531i | \(0.854790\pi\) | |||||||
\(614\) | 4.82296 | + | 27.0210i | 0.194639 | + | 1.09048i | ||||
\(615\) | −3.50635 | + | 3.51864i | −0.141390 | + | 0.141885i | ||||
\(616\) | 22.9068 | − | 27.8896i | 0.922940 | − | 1.12370i | ||||
\(617\) | 14.7956 | − | 25.6267i | 0.595648 | − | 1.03169i | −0.397807 | − | 0.917469i | \(-0.630229\pi\) |
0.993455 | − | 0.114224i | \(-0.0364381\pi\) | |||||||
\(618\) | −1.05156 | + | 12.5763i | −0.0423001 | + | 0.505893i | ||||
\(619\) | −15.8213 | + | 27.4033i | −0.635912 | + | 1.10143i | 0.350410 | + | 0.936597i | \(0.386042\pi\) |
−0.986321 | + | 0.164835i | \(0.947291\pi\) | |||||||
\(620\) | 10.0348 | − | 12.0613i | 0.403006 | − | 0.484394i | ||||
\(621\) | −32.5498 | − | 8.53887i | −1.30618 | − | 0.342653i | ||||
\(622\) | −2.66625 | − | 14.9378i | −0.106907 | − | 0.598952i | ||||
\(623\) | −2.01596 | − | 5.46685i | −0.0807679 | − | 0.219025i | ||||
\(624\) | −9.96201 | + | 14.5387i | −0.398800 | + | 0.582012i | ||||
\(625\) | −7.73768 | − | 13.4021i | −0.309507 | − | 0.536082i | ||||
\(626\) | −33.9783 | + | 6.06477i | −1.35804 | + | 0.242397i | ||||
\(627\) | −9.62796 | + | 36.1851i | −0.384504 | + | 1.44509i | ||||
\(628\) | 3.43343 | + | 9.31159i | 0.137009 | + | 0.371573i | ||||
\(629\) | 1.89434i | 0.0755325i | ||||||||
\(630\) | 9.14915 | − | 0.0898426i | 0.364511 | − | 0.00357941i | ||||
\(631\) | 6.61866i | 0.263485i | 0.991284 | + | 0.131742i | \(0.0420572\pi\) | ||||
−0.991284 | + | 0.131742i | \(0.957943\pi\) | |||||||
\(632\) | 24.7517 | − | 14.4988i | 0.984571 | − | 0.576730i | ||||
\(633\) | 42.8796 | − | 11.5700i | 1.70431 | − | 0.459866i | ||||
\(634\) | 7.98266 | + | 44.7234i | 0.317032 | + | 1.77619i | ||||
\(635\) | 0.439908 | + | 0.761943i | 0.0174572 | + | 0.0302368i | ||||
\(636\) | 7.55236 | − | 0.705993i | 0.299470 | − | 0.0279945i | ||||
\(637\) | 5.94873 | − | 16.7839i | 0.235697 | − | 0.665001i | ||||
\(638\) | 42.4633 | − | 7.57926i | 1.68114 | − | 0.300066i | ||||
\(639\) | −10.9261 | + | 0.0382265i | −0.432231 | + | 0.00151222i | ||||
\(640\) | −9.05734 | + | 1.73448i | −0.358023 | + | 0.0685613i | ||||
\(641\) | −15.1406 | + | 26.2243i | −0.598018 | + | 1.03580i | 0.395096 | + | 0.918640i | \(0.370711\pi\) |
−0.993113 | + | 0.117157i | \(0.962622\pi\) | |||||||
\(642\) | 12.6139 | + | 26.7812i | 0.497831 | + | 1.05697i | ||||
\(643\) | −8.34512 | + | 14.4542i | −0.329099 | + | 0.570017i | −0.982333 | − | 0.187139i | \(-0.940078\pi\) |
0.653234 | + | 0.757156i | \(0.273412\pi\) | |||||||
\(644\) | −33.6968 | + | 6.23456i | −1.32784 | + | 0.245676i | ||||
\(645\) | 2.00562 | + | 7.43305i | 0.0789713 | + | 0.292676i | ||||
\(646\) | 3.62647 | − | 0.647286i | 0.142681 | − | 0.0254671i | ||||
\(647\) | 14.3660 | + | 24.8826i | 0.564786 | + | 0.978237i | 0.997070 | + | 0.0764997i | \(0.0243744\pi\) |
−0.432284 | + | 0.901737i | \(0.642292\pi\) | |||||||
\(648\) | 13.0197 | + | 21.8743i | 0.511462 | + | 0.859306i | ||||
\(649\) | 46.8031 | + | 27.0218i | 1.83718 | + | 1.06070i | ||||
\(650\) | 10.0509 | + | 11.9273i | 0.394228 | + | 0.467827i | ||||
\(651\) | −43.9129 | + | 4.10634i | −1.72108 | + | 0.160940i | ||||
\(652\) | −40.9545 | − | 7.04444i | −1.60390 | − | 0.275881i | ||||
\(653\) | 4.63161 | + | 8.02218i | 0.181249 | + | 0.313932i | 0.942306 | − | 0.334753i | \(-0.108653\pi\) |
−0.761057 | + | 0.648685i | \(0.775319\pi\) | |||||||
\(654\) | −0.750885 | + | 8.98031i | −0.0293619 | + | 0.351158i | ||||
\(655\) | 6.17543 | + | 3.56538i | 0.241294 | + | 0.139311i | ||||
\(656\) | −13.8391 | + | 2.56005i | −0.540326 | + | 0.0999533i | ||||
\(657\) | −3.94033 | − | 6.77005i | −0.153727 | − | 0.264125i | ||||
\(658\) | 17.7267 | − | 31.1566i | 0.691057 | − | 1.21461i | ||||
\(659\) | 0.465951 | − | 0.269017i | 0.0181509 | − | 0.0104794i | −0.490897 | − | 0.871218i | \(-0.663331\pi\) |
0.509048 | + | 0.860738i | \(0.329998\pi\) | |||||||
\(660\) | −5.68172 | + | 12.3760i | −0.221161 | + | 0.481734i | ||||
\(661\) | − | 23.1477i | − | 0.900342i | −0.892942 | − | 0.450171i | \(-0.851363\pi\) | ||
0.892942 | − | 0.450171i | \(-0.148637\pi\) | |||||||
\(662\) | 36.4011 | − | 6.49722i | 1.41477 | − | 0.252522i | ||||
\(663\) | 1.80731 | − | 1.81365i | 0.0701903 | − | 0.0704363i | ||||
\(664\) | −2.29678 | + | 4.03656i | −0.0891322 | + | 0.156649i | ||||
\(665\) | −6.18240 | + | 7.43142i | −0.239743 | + | 0.288178i | ||||
\(666\) | 4.65750 | − | 13.0226i | 0.180474 | − | 0.504617i | ||||
\(667\) | −35.4695 | − | 20.4783i | −1.37339 | − | 0.792924i | ||||
\(668\) | 0.697408 | − | 4.05454i | 0.0269835 | − | 0.156875i | ||||
\(669\) | −41.1862 | − | 10.9586i | −1.59235 | − | 0.423684i | ||||
\(670\) | 4.42563 | − | 3.72938i | 0.170977 | − | 0.144079i | ||||
\(671\) | 17.4773 | − | 30.2715i | 0.674703 | − | 1.16862i | ||||
\(672\) | 21.4767 | + | 14.5173i | 0.828480 | + | 0.560019i | ||||
\(673\) | −11.9724 | − | 20.7368i | −0.461503 | − | 0.799346i | 0.537533 | − | 0.843243i | \(-0.319356\pi\) |
−0.999036 | + | 0.0438961i | \(0.986023\pi\) | |||||||
\(674\) | 7.70283 | + | 2.78533i | 0.296702 | + | 0.107287i | ||||
\(675\) | 21.7299 | − | 5.94490i | 0.836383 | − | 0.228819i | ||||
\(676\) | 10.0379 | + | 8.35133i | 0.386073 | + | 0.321205i | ||||
\(677\) | − | 35.0977i | − | 1.34891i | −0.738314 | − | 0.674457i | \(-0.764378\pi\) | ||
0.738314 | − | 0.674457i | \(-0.235622\pi\) | |||||||
\(678\) | −12.3161 | + | 5.80088i | −0.472998 | + | 0.222781i | ||||
\(679\) | −18.5095 | − | 3.18316i | −0.710329 | − | 0.122159i | ||||
\(680\) | 1.33971 | − | 0.00842668i | 0.0513756 | − | 0.000323149i | ||||
\(681\) | −9.90651 | − | 36.7146i | −0.379618 | − | 1.40691i | ||||
\(682\) | 22.3220 | − | 61.7315i | 0.854752 | − | 2.36382i | ||||
\(683\) | 21.2103 | − | 12.2458i | 0.811591 | − | 0.468572i | −0.0359174 | − | 0.999355i | \(-0.511435\pi\) |
0.847508 | + | 0.530783i | \(0.178102\pi\) | |||||||
\(684\) | −26.5215 | − | 4.46640i | −1.01408 | − | 0.170777i | ||||
\(685\) | − | 7.02702i | − | 0.268488i | ||||||
\(686\) | −24.7417 | − | 8.59359i | −0.944641 | − | 0.328105i | ||||
\(687\) | 4.76848 | − | 17.9215i | 0.181929 | − | 0.683749i | ||||
\(688\) | −7.28824 | + | 20.5591i | −0.277862 | + | 0.783810i | ||||
\(689\) | 5.57021i | 0.212208i | ||||||||
\(690\) | 11.6978 | − | 5.50963i | 0.445327 | − | 0.209748i | ||||
\(691\) | 17.2066 | 0.654569 | 0.327285 | − | 0.944926i | \(-0.393866\pi\) | ||||
0.327285 | + | 0.944926i | \(0.393866\pi\) | |||||||
\(692\) | −9.98157 | − | 27.0704i | −0.379443 | − | 1.02906i | ||||
\(693\) | 35.8693 | − | 13.3700i | 1.36256 | − | 0.507883i | ||||
\(694\) | −20.7505 | + | 3.70374i | −0.787677 | + | 0.140592i | ||||
\(695\) | 7.56492i | 0.286954i | ||||||||
\(696\) | 8.25909 | + | 29.8610i | 0.313060 | + | 1.13188i | ||||
\(697\) | 2.04462 | 0.0774456 | ||||||||
\(698\) | 2.36690 | + | 2.80878i | 0.0895886 | + | 0.106314i | ||||
\(699\) | −1.95937 | − | 7.26162i | −0.0741101 | − | 0.274660i | ||||
\(700\) | 17.4497 | − | 14.8941i | 0.659537 | − | 0.562945i | ||||
\(701\) | 3.54331 | 0.133829 | 0.0669145 | − | 0.997759i | \(-0.478685\pi\) | ||||
0.0669145 | + | 0.997759i | \(0.478685\pi\) | |||||||
\(702\) | −16.8834 | + | 8.02437i | −0.637225 | + | 0.302860i | ||||
\(703\) | 7.30617 | + | 12.6547i | 0.275557 | + | 0.477279i | ||||
\(704\) | −33.1683 | + | 19.7102i | −1.25008 | + | 0.742854i | ||||
\(705\) | −3.47785 | + | 13.0709i | −0.130983 | + | 0.492279i | ||||
\(706\) | 6.47661 | − | 17.9111i | 0.243751 | − | 0.674093i | ||||
\(707\) | 8.62056 | + | 23.3771i | 0.324210 | + | 0.879185i | ||||
\(708\) | −16.1958 | + | 35.2778i | −0.608675 | + | 1.32582i | ||||
\(709\) | −3.01099 | −0.113080 | −0.0565401 | − | 0.998400i | \(-0.518007\pi\) | ||||
−0.0565401 | + | 0.998400i | \(0.518007\pi\) | |||||||
\(710\) | 3.21046 | − | 2.70539i | 0.120487 | − | 0.101531i | ||||
\(711\) | 30.4255 | − | 0.106447i | 1.14104 | − | 0.00399209i | ||||
\(712\) | 0.0391792 | + | 6.22890i | 0.00146830 | + | 0.233438i | ||||
\(713\) | −53.9786 | + | 31.1646i | −2.02152 | + | 1.16712i | ||||
\(714\) | −2.68439 | − | 2.64141i | −0.100461 | − | 0.0988522i | ||||
\(715\) | −8.66044 | − | 5.00011i | −0.323882 | − | 0.186993i | ||||
\(716\) | 4.95153 | − | 5.95151i | 0.185047 | − | 0.222418i | ||||
\(717\) | −17.7186 | + | 4.78092i | −0.661713 | + | 0.178547i | ||||
\(718\) | 8.73444 | − | 24.1551i | 0.325966 | − | 0.901461i | ||||
\(719\) | −8.34116 | + | 14.4473i | −0.311073 | + | 0.538794i | −0.978595 | − | 0.205796i | \(-0.934022\pi\) |
0.667522 | + | 0.744590i | \(0.267355\pi\) | |||||||
\(720\) | −9.23055 | − | 3.23593i | −0.344002 | − | 0.120596i | ||||
\(721\) | −2.31033 | + | 13.4342i | −0.0860413 | + | 0.500314i | ||||
\(722\) | 1.18175 | − | 0.995833i | 0.0439800 | − | 0.0370611i | ||||
\(723\) | −11.4106 | + | 3.07887i | −0.424366 | + | 0.114504i | ||||
\(724\) | 17.2055 | + | 46.6620i | 0.639438 | + | 1.73418i | ||||
\(725\) | 27.4192 | 1.01832 | ||||||||
\(726\) | −2.50223 | + | 29.9258i | −0.0928665 | + | 1.11065i | ||||
\(727\) | 18.9577 | + | 32.8358i | 0.703104 | + | 1.21781i | 0.967372 | + | 0.253362i | \(0.0815364\pi\) |
−0.264268 | + | 0.964449i | \(0.585130\pi\) | |||||||
\(728\) | −12.0823 | + | 14.7106i | −0.447802 | + | 0.545209i | ||||
\(729\) | 0.283383 | + | 26.9985i | 0.0104957 | + | 0.999945i | ||||
\(730\) | 2.83053 | + | 1.02351i | 0.104763 | + | 0.0378820i | ||||
\(731\) | 1.58445 | − | 2.74435i | 0.0586031 | − | 0.101504i | ||||
\(732\) | 22.8172 | + | 10.4752i | 0.843346 | + | 0.387174i | ||||
\(733\) | 20.3825 | − | 11.7678i | 0.752845 | − | 0.434655i | −0.0738758 | − | 0.997267i | \(-0.523537\pi\) |
0.826721 | + | 0.562612i | \(0.190204\pi\) | |||||||
\(734\) | −14.8603 | − | 5.37344i | −0.548502 | − | 0.198337i | ||||
\(735\) | 9.85335 | + | 0.760892i | 0.363446 | + | 0.0280659i | ||||
\(736\) | 36.1429 | + | 5.98301i | 1.33225 | + | 0.220537i | ||||
\(737\) | 12.1068 | − | 20.9695i | 0.445958 | − | 0.772422i | ||||
\(738\) | −14.0557 | − | 5.02698i | −0.517398 | − | 0.185046i | ||||
\(739\) | −24.3790 | + | 14.0752i | −0.896797 | + | 0.517766i | −0.876160 | − | 0.482021i | \(-0.839903\pi\) |
−0.0206373 | + | 0.999787i | \(0.506570\pi\) | |||||||
\(740\) | 1.83852 | + | 4.98614i | 0.0675854 | + | 0.183294i | ||||
\(741\) | 5.07834 | − | 19.0861i | 0.186557 | − | 0.701145i | ||||
\(742\) | 8.19288 | − | 0.0517866i | 0.300770 | − | 0.00190115i | ||||
\(743\) | 43.7349 | + | 25.2504i | 1.60448 | + | 0.926347i | 0.990576 | + | 0.136966i | \(0.0437350\pi\) |
0.613904 | + | 0.789381i | \(0.289598\pi\) | |||||||
\(744\) | 45.6397 | + | 11.8367i | 1.67323 | + | 0.433955i | ||||
\(745\) | −7.72641 | − | 4.46085i | −0.283074 | − | 0.163433i | ||||
\(746\) | −33.3110 | + | 28.0705i | −1.21960 | + | 1.02773i | ||||
\(747\) | −4.25736 | + | 2.47789i | −0.155769 | + | 0.0906612i | ||||
\(748\) | 5.25909 | − | 1.93916i | 0.192291 | − | 0.0709029i | ||||
\(749\) | 11.0629 | + | 30.0002i | 0.404230 | + | 1.09618i | ||||
\(750\) | −10.6324 | + | 15.3096i | −0.388239 | + | 0.559027i | ||||
\(751\) | −3.53155 | + | 2.03894i | −0.128868 | + | 0.0744020i | −0.563048 | − | 0.826424i | \(-0.690371\pi\) |
0.434180 | + | 0.900826i | \(0.357038\pi\) | |||||||
\(752\) | −29.1484 | + | 24.8779i | −1.06293 | + | 0.907204i | ||||
\(753\) | −12.0528 | + | 12.0950i | −0.439228 | + | 0.440767i | ||||
\(754\) | −22.3976 | + | 3.99774i | −0.815672 | + | 0.145589i | ||||
\(755\) | 0.309844 | 0.0112764 | ||||||||
\(756\) | 11.9595 | + | 24.7582i | 0.434963 | + | 0.900448i | ||||
\(757\) | −6.31380 | −0.229479 | −0.114739 | − | 0.993396i | \(-0.536603\pi\) | ||||
−0.114739 | + | 0.993396i | \(0.536603\pi\) | |||||||
\(758\) | 7.72450 | − | 1.37874i | 0.280566 | − | 0.0500782i | ||||
\(759\) | 38.1862 | − | 38.3200i | 1.38607 | − | 1.39093i | ||||
\(760\) | 8.91709 | − | 5.22334i | 0.323457 | − | 0.189470i | ||||
\(761\) | 15.3919 | − | 8.88652i | 0.557956 | − | 0.322136i | −0.194368 | − | 0.980929i | \(-0.562266\pi\) |
0.752325 | + | 0.658792i | \(0.228932\pi\) | |||||||
\(762\) | −1.50816 | + | 2.17160i | −0.0546349 | + | 0.0786689i | ||||
\(763\) | −1.64973 | + | 9.59287i | −0.0597243 | + | 0.347285i | ||||
\(764\) | −12.8239 | − | 34.7789i | −0.463952 | − | 1.25826i | ||||
\(765\) | 1.23311 | + | 0.706194i | 0.0445831 | + | 0.0255325i | ||||
\(766\) | 9.31493 | − | 7.84949i | 0.336562 | − | 0.283614i | ||||
\(767\) | −24.6866 | − | 14.2528i | −0.891383 | − | 0.514640i | ||||
\(768\) | −16.3131 | − | 22.4027i | −0.588650 | − | 0.808388i | ||||
\(769\) | −21.8160 | − | 12.5955i | −0.786706 | − | 0.454205i | 0.0520959 | − | 0.998642i | \(-0.483410\pi\) |
−0.838801 | + | 0.544437i | \(0.816743\pi\) | |||||||
\(770\) | −7.27384 | + | 12.7846i | −0.262131 | + | 0.460725i | ||||
\(771\) | 6.09568 | − | 22.9096i | 0.219531 | − | 0.825070i | ||||
\(772\) | −49.4465 | + | 18.2322i | −1.77962 | + | 0.656192i | ||||
\(773\) | 35.8079 | − | 20.6737i | 1.28792 | − | 0.743582i | 0.309639 | − | 0.950854i | \(-0.399792\pi\) |
0.978283 | + | 0.207272i | \(0.0664585\pi\) | |||||||
\(774\) | −17.6397 | + | 14.9704i | −0.634044 | + | 0.538101i | ||||
\(775\) | 20.8637 | − | 36.1370i | 0.749446 | − | 1.29808i | ||||
\(776\) | 17.4508 | + | 9.92941i | 0.626448 | + | 0.356445i | ||||
\(777\) | 6.23233 | − | 13.5764i | 0.223584 | − | 0.487052i | ||||
\(778\) | −4.63001 | − | 1.67420i | −0.165994 | − | 0.0600230i | ||||
\(779\) | 13.6585 | − | 7.88576i | 0.489368 | − | 0.282537i | ||||
\(780\) | 2.99687 | − | 6.52780i | 0.107305 | − | 0.233733i | ||||
\(781\) | 8.78255 | − | 15.2118i | 0.314264 | − | 0.544322i | ||||
\(782\) | −5.00505 | − | 1.80982i | −0.178980 | − | 0.0647189i | ||||
\(783\) | −8.33850 | + | 31.7860i | −0.297994 | + | 1.13594i | ||||
\(784\) | 21.7492 | + | 17.6344i | 0.776757 | + | 0.629801i | ||||
\(785\) | −2.02238 | − | 3.50286i | −0.0721817 | − | 0.125022i | ||||
\(786\) | −1.78552 | + | 21.3542i | −0.0636874 | + | 0.761678i | ||||
\(787\) | 19.4885 | 0.694690 | 0.347345 | − | 0.937737i | \(-0.387083\pi\) | ||||
0.347345 | + | 0.937737i | \(0.387083\pi\) | |||||||
\(788\) | 9.48732 | − | 3.49822i | 0.337972 | − | 0.124619i | ||||
\(789\) | 26.0894 | − | 7.03958i | 0.928808 | − | 0.250616i | ||||
\(790\) | −8.94002 | + | 7.53356i | −0.318071 | + | 0.268032i | ||||
\(791\) | −13.7965 | + | 5.08761i | −0.490547 | + | 0.180895i | ||||
\(792\) | −40.9212 | + | 0.400568i | −1.45407 | + | 0.0142336i | ||||
\(793\) | −9.21852 | + | 15.9669i | −0.327359 | + | 0.567003i | ||||
\(794\) | 8.66202 | − | 23.9549i | 0.307404 | − | 0.850126i | ||||
\(795\) | −2.98468 | + | 0.805341i | −0.105856 | + | 0.0285625i | ||||
\(796\) | 33.5851 | + | 27.9421i | 1.19039 | + | 0.990381i | ||||
\(797\) | −19.1331 | − | 11.0465i | −0.677729 | − | 0.391287i | 0.121270 | − | 0.992620i | \(-0.461303\pi\) |
−0.798999 | + | 0.601333i | \(0.794637\pi\) | |||||||
\(798\) | −28.1198 | − | 7.29197i | −0.995430 | − | 0.258133i | ||||
\(799\) | 4.82139 | − | 2.78363i | 0.170568 | − | 0.0984778i | ||||
\(800\) | −22.9575 | + | 8.62946i | −0.811672 | + | 0.305098i | ||||
\(801\) | −3.28340 | + | 5.73324i | −0.116013 | + | 0.202574i | ||||
\(802\) | 15.4707 | − | 13.0369i | 0.546290 | − | 0.460347i | ||||
\(803\) | 12.5928 | 0.444392 | ||||||||
\(804\) | 15.8058 | + | 7.25631i | 0.557426 | + | 0.255910i | ||||
\(805\) | 13.1038 | − | 4.83218i | 0.461849 | − | 0.170312i | ||||
\(806\) | −11.7739 | + | 32.5607i | −0.414717 | + | 1.14690i | ||||
\(807\) | 9.52796 | − | 35.8093i | 0.335400 | − | 1.26055i | ||||
\(808\) | −0.167536 | − | 26.6357i | −0.00589390 | − | 0.937040i | ||||
\(809\) | −3.36792 | − | 5.83340i | −0.118410 | − | 0.205091i | 0.800728 | − | 0.599028i | \(-0.204446\pi\) |
−0.919138 | + | 0.393937i | \(0.871113\pi\) | |||||||
\(810\) | −6.74070 | − | 7.88648i | −0.236844 | − | 0.277103i | ||||
\(811\) | 52.9099 | 1.85792 | 0.928960 | − | 0.370181i | \(-0.120704\pi\) | ||||
0.928960 | + | 0.370181i | \(0.120704\pi\) | |||||||
\(812\) | 6.08826 | + | 32.9061i | 0.213656 | + | 1.15478i | ||||
\(813\) | 1.22930 | + | 4.55591i | 0.0431133 | + | 0.159783i | ||||
\(814\) | 14.3274 | + | 17.0022i | 0.502176 | + | 0.595928i | ||||
\(815\) | 16.9363 | 0.593253 | ||||||||
\(816\) | 1.73838 | + | 3.63141i | 0.0608555 | + | 0.127125i | ||||
\(817\) | − | 24.4439i | − | 0.855183i | ||||||
\(818\) | −54.5359 | + | 9.73409i | −1.90680 | + | 0.340344i | ||||
\(819\) | −18.9196 | + | 7.05209i | −0.661103 | + | 0.246420i | ||||
\(820\) | 5.38170 | − | 1.98437i | 0.187937 | − | 0.0692973i | ||||
\(821\) | 11.8882 | 0.414903 | 0.207451 | − | 0.978245i | \(-0.433483\pi\) | ||||
0.207451 | + | 0.978245i | \(0.433483\pi\) | |||||||
\(822\) | 19.1040 | − | 8.99793i | 0.666327 | − | 0.313839i | ||||
\(823\) | 27.8356i | 0.970287i | 0.874435 | + | 0.485143i | \(0.161233\pi\) | ||||
−0.874435 | + | 0.485143i | \(0.838767\pi\) | |||||||
\(824\) | 7.20675 | − | 12.6658i | 0.251059 | − | 0.441233i | ||||
\(825\) | −9.31243 | + | 34.9993i | −0.324217 | + | 1.21852i | ||||
\(826\) | −20.7341 | + | 36.4426i | −0.721432 | + | 1.26800i | ||||
\(827\) | − | 30.7186i | − | 1.06819i | −0.845424 | − | 0.534095i | \(-0.820652\pi\) | ||
0.845424 | − | 0.534095i | \(-0.179348\pi\) | |||||||
\(828\) | 29.9575 | + | 24.7471i | 1.04109 | + | 0.860022i | ||||
\(829\) | 11.1106 | − | 6.41474i | 0.385889 | − | 0.222793i | −0.294488 | − | 0.955655i | \(-0.595149\pi\) |
0.680377 | + | 0.732862i | \(0.261816\pi\) | |||||||
\(830\) | 0.643640 | − | 1.77999i | 0.0223411 | − | 0.0617843i | ||||
\(831\) | 5.13974 | + | 19.0484i | 0.178295 | + | 0.660782i | ||||
\(832\) | 17.4949 | − | 10.3963i | 0.606525 | − | 0.360426i | ||||
\(833\) | −2.64095 | − | 3.09390i | −0.0915035 | − | 0.107197i | ||||
\(834\) | −20.5663 | + | 9.68670i | −0.712153 | + | 0.335423i | ||||
\(835\) | 1.67672i | 0.0580252i | ||||||||
\(836\) | 27.6529 | − | 33.2375i | 0.956395 | − | 1.14954i | ||||
\(837\) | 35.5473 | + | 35.1762i | 1.22869 | + | 1.21587i | ||||
\(838\) | −30.1903 | − | 10.9167i | −1.04291 | − | 0.377113i | ||||
\(839\) | 1.26520 | + | 2.19139i | 0.0436795 | + | 0.0756551i | 0.887039 | − | 0.461695i | \(-0.152759\pi\) |
−0.843359 | + | 0.537350i | \(0.819425\pi\) | |||||||
\(840\) | −9.62921 | − | 4.34722i | −0.332239 | − | 0.149993i | ||||
\(841\) | −5.49779 | + | 9.52246i | −0.189579 | + | 0.328361i | ||||
\(842\) | 2.01529 | − | 1.69824i | 0.0694515 | − | 0.0585253i | ||||
\(843\) | −51.9371 | − | 13.8192i | −1.78881 | − | 0.475958i | ||||
\(844\) | −50.5417 | − | 8.69350i | −1.73972 | − | 0.299243i | ||||
\(845\) | −4.60877 | − | 2.66087i | −0.158546 | − | 0.0915368i | ||||
\(846\) | −39.9885 | + | 7.28198i | −1.37483 | + | 0.250360i | ||||
\(847\) | −5.49752 | + | 31.9671i | −0.188897 | + | 1.09840i | ||||
\(848\) | −8.25535 | − | 2.92653i | −0.283490 | − | 0.100498i | ||||
\(849\) | 4.95839 | − | 4.97577i | 0.170171 | − | 0.170768i | ||||
\(850\) | 3.50762 | − | 0.626074i | 0.120310 | − | 0.0214742i | ||||
\(851\) | − | 21.1115i | − | 0.723692i | ||||||
\(852\) | 11.4659 | + | 5.26392i | 0.392816 | + | 0.180339i | ||||
\(853\) | −15.4010 | + | 8.89177i | −0.527320 | + | 0.304448i | −0.739924 | − | 0.672690i | \(-0.765139\pi\) |
0.212605 | + | 0.977138i | \(0.431805\pi\) | |||||||
\(854\) | 23.5705 | + | 13.4105i | 0.806566 | + | 0.458898i | ||||
\(855\) | 10.9611 | − | 0.0383489i | 0.374862 | − | 0.00131150i | ||||
\(856\) | −0.215002 | − | 34.1820i | −0.00734862 | − | 1.16832i | ||||
\(857\) | −20.7330 | − | 11.9702i | −0.708224 | − | 0.408894i | 0.102179 | − | 0.994766i | \(-0.467419\pi\) |
−0.810403 | + | 0.585873i | \(0.800752\pi\) | |||||||
\(858\) | 2.50402 | − | 29.9472i | 0.0854858 | − | 1.02238i | ||||
\(859\) | −23.3482 | − | 40.4402i | −0.796629 | − | 1.37980i | −0.921799 | − | 0.387667i | \(-0.873281\pi\) |
0.125170 | − | 0.992135i | \(-0.460052\pi\) | |||||||
\(860\) | 1.50699 | − | 8.76124i | 0.0513880 | − | 0.298756i | ||||
\(861\) | −14.6534 | − | 6.72674i | −0.499388 | − | 0.229247i | ||||
\(862\) | −3.98284 | − | 4.72641i | −0.135656 | − | 0.160982i | ||||
\(863\) | −34.3329 | − | 19.8221i | −1.16870 | − | 0.674752i | −0.215330 | − | 0.976541i | \(-0.569083\pi\) |
−0.953375 | + | 0.301789i | \(0.902416\pi\) | |||||||
\(864\) | −3.02214 | − | 29.2381i | −0.102815 | − | 0.994700i | ||||
\(865\) | 5.87940 | + | 10.1834i | 0.199905 | + | 0.346246i | ||||
\(866\) | −13.6197 | + | 2.43097i | −0.462815 | + | 0.0826076i | ||||
\(867\) | 7.51826 | + | 27.8635i | 0.255334 | + | 0.946293i | ||||
\(868\) | 48.0010 | + | 17.0148i | 1.62926 | + | 0.577519i | ||||
\(869\) | −24.4563 | + | 42.3596i | −0.829624 | + | 1.43695i | ||||
\(870\) | −5.38035 | − | 11.4233i | −0.182411 | − | 0.387286i | ||||
\(871\) | −6.38580 | + | 11.0605i | −0.216375 | + | 0.374772i | ||||
\(872\) | 5.14609 | − | 9.04420i | 0.174269 | − | 0.306275i | ||||
\(873\) | 10.7124 | + | 18.4054i | 0.362560 | + | 0.622929i | ||||
\(874\) | −40.4151 | + | 7.21367i | −1.36706 | + | 0.244006i | ||||
\(875\) | −12.8759 | + | 15.4773i | −0.435286 | + | 0.523227i | ||||
\(876\) | 0.841860 | + | 9.00579i | 0.0284438 | + | 0.304278i | ||||
\(877\) | −15.0927 | − | 26.1413i | −0.509644 | − | 0.882730i | −0.999938 | − | 0.0111721i | \(-0.996444\pi\) |
0.490293 | − | 0.871557i | \(-0.336890\pi\) | |||||||
\(878\) | 0.0957071 | + | 0.536206i | 0.00322996 | + | 0.0180961i | ||||
\(879\) | 35.8239 | − | 9.66619i | 1.20831 | − | 0.326033i | ||||
\(880\) | 11.9605 | − | 10.2082i | 0.403190 | − | 0.344119i | ||||
\(881\) | − | 15.0652i | − | 0.507560i | −0.967262 | − | 0.253780i | \(-0.918326\pi\) | ||
0.967262 | − | 0.253780i | \(-0.0816739\pi\) | |||||||
\(882\) | 10.5484 | + | 27.7621i | 0.355183 | + | 0.934797i | ||||
\(883\) | − | 16.1352i | − | 0.542993i | −0.962439 | − | 0.271497i | \(-0.912481\pi\) | ||
0.962439 | − | 0.271497i | \(-0.0875186\pi\) | |||||||
\(884\) | −2.77395 | + | 1.02283i | −0.0932979 | + | 0.0344014i | ||||
\(885\) | 4.06789 | − | 15.2885i | 0.136741 | − | 0.513917i | ||||
\(886\) | 22.5443 | − | 4.02392i | 0.757390 | − | 0.135186i | ||||
\(887\) | 10.9762 | + | 19.0114i | 0.368545 | + | 0.638339i | 0.989338 | − | 0.145636i | \(-0.0465227\pi\) |
−0.620793 | + | 0.783974i | \(0.713189\pi\) | |||||||
\(888\) | −11.2014 | + | 11.3829i | −0.375893 | + | 0.381986i | ||||
\(889\) | −1.82640 | + | 2.19539i | −0.0612556 | + | 0.0736310i | ||||
\(890\) | −0.446076 | − | 2.49917i | −0.0149525 | − | 0.0837724i | ||||
\(891\) | −37.7413 | − | 21.4392i | −1.26438 | − | 0.718241i | ||||
\(892\) | 37.8312 | + | 31.4747i | 1.26668 | + | 1.05385i | ||||
\(893\) | 21.4720 | − | 37.1906i | 0.718533 | − | 1.24454i | ||||
\(894\) | 2.23396 | − | 26.7174i | 0.0747149 | − | 0.893563i | ||||
\(895\) | −1.57764 | + | 2.73255i | −0.0527347 | + | 0.0913392i | ||||
\(896\) | −15.4539 | − | 25.6355i | −0.516278 | − | 0.856421i | ||||
\(897\) | −20.1416 | + | 20.2122i | −0.672508 | + | 0.674865i | ||||
\(898\) | −8.25900 | − | 46.2716i | −0.275606 | − | 1.54410i | ||||
\(899\) | 30.4333 | + | 52.7120i | 1.01501 | + | 1.75804i | ||||
\(900\) | −25.6524 | − | 4.32003i | −0.855079 | − | 0.144001i | ||||
\(901\) | 1.10197 | + | 0.636224i | 0.0367120 | + | 0.0211957i | ||||
\(902\) | 18.3510 | − | 15.4640i | 0.611022 | − | 0.514895i | ||||
\(903\) | −20.3843 | + | 14.4555i | −0.678348 | + | 0.481049i | ||||
\(904\) | 15.7196 | − | 0.0988751i | 0.522827 | − | 0.00328854i | ||||
\(905\) | −10.1345 | − | 17.5534i | −0.336882 | − | 0.583496i | ||||
\(906\) | 0.396747 | + | 0.842354i | 0.0131810 | + | 0.0279853i | ||||
\(907\) | 17.6385 | + | 10.1836i | 0.585676 | + | 0.338140i | 0.763386 | − | 0.645943i | \(-0.223536\pi\) |
−0.177710 | + | 0.984083i | \(0.556869\pi\) | |||||||
\(908\) | −7.44359 | + | 43.2750i | −0.247024 | + | 1.43613i | ||||
\(909\) | 14.0403 | − | 24.5162i | 0.465687 | − | 0.813151i | ||||
\(910\) | 3.83664 | − | 6.74333i | 0.127183 | − | 0.223539i | ||||
\(911\) | −12.6090 | + | 7.27984i | −0.417756 | + | 0.241192i | −0.694117 | − | 0.719862i | \(-0.744205\pi\) |
0.276361 | + | 0.961054i | \(0.410872\pi\) | |||||||
\(912\) | 25.6185 | + | 17.5540i | 0.848314 | + | 0.581272i | ||||
\(913\) | − | 7.91904i | − | 0.262082i | ||||||
\(914\) | −1.37632 | − | 7.71093i | −0.0455246 | − | 0.255055i | ||||
\(915\) | −9.88837 | − | 2.63105i | −0.326899 | − | 0.0869798i | ||||
\(916\) | −13.6958 | + | 16.4617i | −0.452520 | + | 0.543909i | ||||
\(917\) | −3.92287 | + | 22.8108i | −0.129545 | + | 0.753278i | ||||
\(918\) | −0.340925 | + | 4.25664i | −0.0112522 | + | 0.140490i | ||||
\(919\) | 9.46004 | + | 5.46176i | 0.312058 | + | 0.180167i | 0.647847 | − | 0.761770i | \(-0.275670\pi\) |
−0.335789 | + | 0.941937i | \(0.609003\pi\) | |||||||
\(920\) | −14.9304 | + | 0.0939110i | −0.492241 | + | 0.00309615i | ||||
\(921\) | 23.7291 | − | 23.8122i | 0.781899 | − | 0.784639i | ||||
\(922\) | −5.62982 | − | 6.68086i | −0.185408 | − | 0.220022i | ||||
\(923\) | −4.63242 | + | 8.02359i | −0.152478 | + | 0.264100i | ||||
\(924\) | −44.0707 | − | 3.40459i | −1.44982 | − | 0.112003i | ||||
\(925\) | 7.06673 | + | 12.2399i | 0.232353 | + | 0.402447i | ||||
\(926\) | −5.65459 | + | 15.6378i | −0.185821 | + | 0.513889i | ||||
\(927\) | 13.3586 | − | 7.77504i | 0.438755 | − | 0.255366i | ||||
\(928\) | 5.84261 | − | 35.2948i | 0.191793 | − | 1.15861i | ||||
\(929\) | 36.7280i | 1.20501i | 0.798117 | + | 0.602503i | \(0.205830\pi\) | ||||
−0.798117 | + | 0.602503i | \(0.794170\pi\) | |||||||
\(930\) | −19.1492 | − | 1.60116i | −0.627928 | − | 0.0525040i | ||||
\(931\) | −29.5748 | − | 10.4822i | −0.969274 | − | 0.343541i | ||||
\(932\) | −1.47224 | + | 8.55918i | −0.0482247 | + | 0.280365i | ||||
\(933\) | −13.1180 | + | 13.1640i | −0.429464 | + | 0.430969i | ||||
\(934\) | 36.8965 | + | 13.3417i | 1.20729 | + | 0.436553i | ||||
\(935\) | −1.97838 | + | 1.14222i | −0.0646998 | + | 0.0373544i | ||||
\(936\) | 21.5842 | − | 0.211282i | 0.705501 | − | 0.00690598i | ||||
\(937\) | − | 9.07200i | − | 0.296369i | −0.988960 | − | 0.148185i | \(-0.952657\pi\) | ||
0.988960 | − | 0.148185i | \(-0.0473430\pi\) | |||||||
\(938\) | 16.3276 | + | 9.28965i | 0.533116 | + | 0.303318i | ||||
\(939\) | 29.9433 | + | 29.8388i | 0.977164 | + | 0.973752i | ||||
\(940\) | 9.98888 | − | 12.0062i | 0.325801 | − | 0.391598i | ||||
\(941\) | 9.27264i | 0.302280i | 0.988512 | + | 0.151140i | \(0.0482944\pi\) | ||||
−0.988512 | + | 0.151140i | \(0.951706\pi\) | |||||||
\(942\) | 6.93341 | − | 9.98344i | 0.225903 | − | 0.325278i | ||||
\(943\) | −22.7862 | −0.742022 | ||||||||
\(944\) | 34.0936 | − | 29.0986i | 1.10965 | − | 0.947079i | ||||
\(945\) | −6.51411 | − | 9.11805i | −0.211904 | − | 0.296610i | ||||
\(946\) | −6.53538 | − | 36.6149i | −0.212484 | − | 1.19045i | ||||
\(947\) | − | 3.29975i | − | 0.107227i | −0.998562 | − | 0.0536137i | \(-0.982926\pi\) | ||
0.998562 | − | 0.0536137i | \(-0.0170739\pi\) | |||||||
\(948\) | −31.9285 | − | 14.6582i | −1.03699 | − | 0.476075i | ||||
\(949\) | −6.64218 | −0.215614 | ||||||||
\(950\) | 21.0170 | − | 17.7106i | 0.681883 | − | 0.574608i | ||||
\(951\) | 39.2748 | − | 39.4125i | 1.27357 | − | 1.27804i | ||||
\(952\) | 1.53020 | + | 4.07052i | 0.0495941 | + | 0.131926i | ||||
\(953\) | −16.0636 | −0.520349 | −0.260175 | − | 0.965562i | \(-0.583780\pi\) | ||||
−0.260175 | + | 0.965562i | \(0.583780\pi\) | |||||||
\(954\) | −6.01125 | − | 7.08306i | −0.194621 | − | 0.229323i | ||||
\(955\) | 7.55359 | + | 13.0832i | 0.244428 | + | 0.423362i | ||||
\(956\) | 20.8847 | + | 3.59230i | 0.675458 | + | 0.116183i | ||||
\(957\) | −37.4208 | − | 37.2901i | −1.20964 | − | 1.20542i | ||||
\(958\) | −9.50959 | − | 3.43865i | −0.307241 | − | 0.111098i | ||||
\(959\) | 21.4002 | − | 7.89156i | 0.691048 | − | 0.254832i | ||||
\(960\) | 8.10003 | + | 7.87116i | 0.261427 | + | 0.254041i | ||||
\(961\) | 61.6286 | 1.98802 | ||||||||
\(962\) | −7.55710 | − | 8.96795i | −0.243651 | − | 0.289138i | ||||
\(963\) | 18.0182 | − | 31.4621i | 0.580627 | − | 1.01385i | ||||
\(964\) | 13.4496 | + | 2.31341i | 0.433181 | + | 0.0745100i | ||||
\(965\) | 18.6009 | − | 10.7392i | 0.598784 | − | 0.345708i | ||||
\(966\) | 29.9161 | + | 29.4371i | 0.962535 | + | 0.947123i | ||||
\(967\) | −13.4318 | − | 7.75487i | −0.431938 | − | 0.249380i | 0.268234 | − | 0.963354i | \(-0.413560\pi\) |
−0.700172 | + | 0.713974i | \(0.746893\pi\) | |||||||
\(968\) | 17.1487 | − | 30.1387i | 0.551181 | − | 0.968693i | ||||
\(969\) | −3.19582 | − | 3.18466i | −0.102665 | − | 0.102306i | ||||
\(970\) | −7.69523 | − | 2.78258i | −0.247079 | − | 0.0893432i | ||||
\(971\) | 15.4979 | − | 26.8432i | 0.497352 | − | 0.861439i | −0.502643 | − | 0.864494i | \(-0.667639\pi\) |
0.999995 | + | 0.00305480i | \(0.000972375\pi\) | |||||||
\(972\) | 12.8092 | − | 28.4240i | 0.410856 | − | 0.911700i | ||||
\(973\) | −23.0383 | + | 8.49564i | −0.738574 | + | 0.272358i | ||||
\(974\) | 7.02397 | + | 8.33529i | 0.225063 | + | 0.267080i | ||||
\(975\) | 4.91191 | − | 18.4606i | 0.157307 | − | 0.591213i | ||||
\(976\) | −18.8205 | − | 22.0512i | −0.602431 | − | 0.705842i | ||||
\(977\) | 34.0008 | 1.08778 | 0.543891 | − | 0.839156i | \(-0.316950\pi\) | ||||
0.543891 | + | 0.839156i | \(0.316950\pi\) | |||||||
\(978\) | 21.6866 | + | 46.0438i | 0.693459 | + | 1.47232i | ||||
\(979\) | −5.31065 | − | 9.19831i | −0.169729 | − | 0.293979i | ||||
\(980\) | −9.95402 | − | 5.58038i | −0.317970 | − | 0.178259i | ||||
\(981\) | 9.53893 | − | 5.55189i | 0.304555 | − | 0.177258i | ||||
\(982\) | 12.4259 | − | 34.3639i | 0.396527 | − | 1.09660i | ||||
\(983\) | −17.2885 | + | 29.9445i | −0.551416 | + | 0.955081i | 0.446756 | + | 0.894656i | \(0.352579\pi\) |
−0.998173 | + | 0.0604255i | \(0.980754\pi\) | |||||||
\(984\) | 12.2859 | + | 12.0900i | 0.391661 | + | 0.385414i | ||||
\(985\) | −3.56896 | + | 2.06054i | −0.113717 | + | 0.0656543i | ||||
\(986\) | −1.76735 | + | 4.88761i | −0.0562838 | + | 0.155653i | ||||
\(987\) | −43.7121 | + | 4.08757i | −1.39137 | + | 0.130109i | ||||
\(988\) | −14.5857 | + | 17.5314i | −0.464034 | + | 0.557747i | ||||
\(989\) | −17.6579 | + | 30.5844i | −0.561489 | + | 0.972527i | ||||
\(990\) | 16.4086 | − | 2.98804i | 0.521499 | − | 0.0949660i | ||||
\(991\) | −46.4705 | + | 26.8297i | −1.47618 | + | 0.852275i | −0.999639 | − | 0.0268752i | \(-0.991444\pi\) |
−0.476545 | + | 0.879150i | \(0.658111\pi\) | |||||||
\(992\) | −42.0709 | − | 34.5566i | −1.33575 | − | 1.09717i | ||||
\(993\) | −32.0785 | − | 31.9664i | −1.01798 | − | 1.01442i | ||||
\(994\) | 11.8445 | + | 6.73895i | 0.375684 | + | 0.213747i | ||||
\(995\) | −15.4201 | − | 8.90281i | −0.488851 | − | 0.282238i | ||||
\(996\) | 5.66332 | − | 0.529406i | 0.179449 | − | 0.0167749i | ||||
\(997\) | 38.1596 | + | 22.0314i | 1.20853 | + | 0.697742i | 0.962437 | − | 0.271505i | \(-0.0875214\pi\) |
0.246088 | + | 0.969247i | \(0.420855\pi\) | |||||||
\(998\) | −33.9127 | − | 40.2440i | −1.07349 | − | 1.27390i | ||||
\(999\) | −16.3384 | + | 4.46988i | −0.516923 | + | 0.141421i |
(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 | 252.2.bj.b.103.24 | yes | 84 | |
3.2 | odd | 2 | 756.2.bj.b.523.19 | 84 | |||
4.3 | odd | 2 | inner | 252.2.bj.b.103.23 | yes | 84 | |
7.3 | odd | 6 | 252.2.n.b.31.6 | ✓ | 84 | ||
9.2 | odd | 6 | 756.2.n.b.19.9 | 84 | |||
9.7 | even | 3 | 252.2.n.b.187.34 | yes | 84 | ||
12.11 | even | 2 | 756.2.bj.b.523.20 | 84 | |||
21.17 | even | 6 | 756.2.n.b.199.37 | 84 | |||
28.3 | even | 6 | 252.2.n.b.31.34 | yes | 84 | ||
36.7 | odd | 6 | 252.2.n.b.187.6 | yes | 84 | ||
36.11 | even | 6 | 756.2.n.b.19.37 | 84 | |||
63.38 | even | 6 | 756.2.bj.b.451.19 | 84 | |||
63.52 | odd | 6 | inner | 252.2.bj.b.115.24 | yes | 84 | |
84.59 | odd | 6 | 756.2.n.b.199.9 | 84 | |||
252.115 | even | 6 | inner | 252.2.bj.b.115.23 | yes | 84 | |
252.227 | odd | 6 | 756.2.bj.b.451.20 | 84 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
252.2.n.b.31.6 | ✓ | 84 | 7.3 | odd | 6 | ||
252.2.n.b.31.34 | yes | 84 | 28.3 | even | 6 | ||
252.2.n.b.187.6 | yes | 84 | 36.7 | odd | 6 | ||
252.2.n.b.187.34 | yes | 84 | 9.7 | even | 3 | ||
252.2.bj.b.103.23 | yes | 84 | 4.3 | odd | 2 | inner | |
252.2.bj.b.103.24 | yes | 84 | 1.1 | even | 1 | trivial | |
252.2.bj.b.115.23 | yes | 84 | 252.115 | even | 6 | inner | |
252.2.bj.b.115.24 | yes | 84 | 63.52 | odd | 6 | inner | |
756.2.n.b.19.9 | 84 | 9.2 | odd | 6 | |||
756.2.n.b.19.37 | 84 | 36.11 | even | 6 | |||
756.2.n.b.199.9 | 84 | 84.59 | odd | 6 | |||
756.2.n.b.199.37 | 84 | 21.17 | even | 6 | |||
756.2.bj.b.451.19 | 84 | 63.38 | even | 6 | |||
756.2.bj.b.451.20 | 84 | 252.227 | odd | 6 | |||
756.2.bj.b.523.19 | 84 | 3.2 | odd | 2 | |||
756.2.bj.b.523.20 | 84 | 12.11 | even | 2 |