Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [276,2,Mod(35,276)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(276, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 11, 20]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("276.35");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 276 = 2^{2} \cdot 3 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 276.o (of order \(22\), degree \(10\), 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: | \(2.20387109579\) |
Analytic rank: | \(0\) |
Dimension: | \(440\) |
Relative dimension: | \(44\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 35.18 | ||
Character | \(\chi\) | \(=\) | 276.35 |
Dual form | 276.2.o.a.71.18 |
$q$-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 \(\left(\mathbb{Z}/276\mathbb{Z}\right)^\times\).
\(n\) | \(97\) | \(139\) | \(185\) |
\(\chi(n)\) | \(e\left(\frac{10}{11}\right)\) | \(-1\) | \(-1\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.483159 | − | 1.32912i | −0.341645 | − | 0.939829i | ||||
\(3\) | 1.72667 | + | 0.136433i | 0.996893 | + | 0.0787695i | ||||
\(4\) | −1.53312 | + | 1.28435i | −0.766558 | + | 0.642175i | ||||
\(5\) | −0.252117 | − | 0.858632i | −0.112750 | − | 0.383992i | 0.883712 | − | 0.468031i | \(-0.155036\pi\) |
−0.996463 | + | 0.0840385i | \(0.973218\pi\) | |||||||
\(6\) | −0.652920 | − | 2.36087i | −0.266553 | − | 0.963820i | ||||
\(7\) | 1.92220 | − | 1.66560i | 0.726525 | − | 0.629537i | −0.210988 | − | 0.977489i | \(-0.567668\pi\) |
0.937513 | + | 0.347951i | \(0.113123\pi\) | |||||||
\(8\) | 2.44779 | + | 1.41715i | 0.865426 | + | 0.501037i | ||||
\(9\) | 2.96277 | + | 0.471148i | 0.987591 | + | 0.157049i | ||||
\(10\) | −1.01941 | + | 0.749950i | −0.322366 | + | 0.237155i | ||||
\(11\) | −1.26700 | − | 0.814252i | −0.382015 | − | 0.245506i | 0.335513 | − | 0.942035i | \(-0.391090\pi\) |
−0.717528 | + | 0.696529i | \(0.754727\pi\) | |||||||
\(12\) | −2.82241 | + | 2.00848i | −0.814760 | + | 0.579799i | ||||
\(13\) | −0.796709 | + | 0.919451i | −0.220967 | + | 0.255010i | −0.855400 | − | 0.517968i | \(-0.826688\pi\) |
0.634432 | + | 0.772978i | \(0.281234\pi\) | |||||||
\(14\) | −3.14251 | − | 1.75009i | −0.839871 | − | 0.467731i | ||||
\(15\) | −0.318177 | − | 1.51697i | −0.0821531 | − | 0.391680i | ||||
\(16\) | 0.700885 | − | 3.93812i | 0.175221 | − | 0.984529i | ||||
\(17\) | 6.64432 | − | 3.03436i | 1.61148 | − | 0.735940i | 0.612952 | − | 0.790120i | \(-0.289982\pi\) |
0.998531 | + | 0.0541802i | \(0.0172545\pi\) | |||||||
\(18\) | −0.805277 | − | 4.16552i | −0.189806 | − | 0.981822i | ||||
\(19\) | −5.60653 | − | 2.56042i | −1.28623 | − | 0.587400i | −0.349328 | − | 0.937001i | \(-0.613590\pi\) |
−0.936899 | + | 0.349600i | \(0.886317\pi\) | |||||||
\(20\) | 1.48931 | + | 0.992575i | 0.333020 | + | 0.221947i | ||||
\(21\) | 3.54625 | − | 2.61369i | 0.773856 | − | 0.570353i | ||||
\(22\) | −0.470075 | + | 2.07741i | −0.100220 | + | 0.442905i | ||||
\(23\) | −0.578761 | + | 4.76078i | −0.120680 | + | 0.992691i | ||||
\(24\) | 4.03318 | + | 2.78090i | 0.823270 | + | 0.567650i | ||||
\(25\) | 3.53258 | − | 2.27025i | 0.706516 | − | 0.454050i | ||||
\(26\) | 1.60700 | + | 0.614680i | 0.315158 | + | 0.120549i | ||||
\(27\) | 5.05145 | + | 1.21774i | 0.972151 | + | 0.234353i | ||||
\(28\) | −0.807747 | + | 5.02234i | −0.152650 | + | 0.949133i | ||||
\(29\) | −6.02903 | + | 2.75337i | −1.11956 | + | 0.511287i | −0.887220 | − | 0.461347i | \(-0.847366\pi\) |
−0.232343 | + | 0.972634i | \(0.574639\pi\) | |||||||
\(30\) | −1.86250 | + | 1.15583i | −0.340045 | + | 0.211025i | ||||
\(31\) | −4.18222 | + | 0.601313i | −0.751149 | + | 0.107999i | −0.507247 | − | 0.861801i | \(-0.669337\pi\) |
−0.243902 | + | 0.969800i | \(0.578428\pi\) | |||||||
\(32\) | −5.57286 | + | 0.971175i | −0.985153 | + | 0.171681i | ||||
\(33\) | −2.07660 | − | 1.57880i | −0.361490 | − | 0.274835i | ||||
\(34\) | −7.24328 | − | 7.36501i | −1.24221 | − | 1.26309i | ||||
\(35\) | −1.91476 | − | 1.23054i | −0.323653 | − | 0.207999i | ||||
\(36\) | −5.14739 | + | 3.08291i | −0.857899 | + | 0.513819i | ||||
\(37\) | 5.30163 | + | 1.55670i | 0.871582 | + | 0.255920i | 0.686788 | − | 0.726858i | \(-0.259020\pi\) |
0.184794 | + | 0.982777i | \(0.440838\pi\) | |||||||
\(38\) | −0.694255 | + | 8.68884i | −0.112623 | + | 1.40952i | ||||
\(39\) | −1.50110 | + | 1.47889i | −0.240368 | + | 0.236812i | ||||
\(40\) | 0.599678 | − | 2.45904i | 0.0948174 | − | 0.388809i | ||||
\(41\) | 1.90201 | + | 6.47765i | 0.297044 | + | 1.01164i | 0.963858 | + | 0.266415i | \(0.0858393\pi\) |
−0.666814 | + | 0.745224i | \(0.732342\pi\) | |||||||
\(42\) | −5.18731 | − | 3.45057i | −0.800419 | − | 0.532434i | ||||
\(43\) | −5.31318 | − | 0.763921i | −0.810253 | − | 0.116497i | −0.275278 | − | 0.961365i | \(-0.588770\pi\) |
−0.534975 | + | 0.844868i | \(0.679679\pi\) | |||||||
\(44\) | 2.98824 | − | 0.378932i | 0.450495 | − | 0.0571261i | ||||
\(45\) | −0.342423 | − | 2.66272i | −0.0510454 | − | 0.396934i | ||||
\(46\) | 6.60728 | − | 1.53097i | 0.974190 | − | 0.225729i | ||||
\(47\) | −0.483749 | −0.0705620 | −0.0352810 | − | 0.999377i | \(-0.511233\pi\) | ||||
−0.0352810 | + | 0.999377i | \(0.511233\pi\) | |||||||
\(48\) | 1.74748 | − | 6.70420i | 0.252228 | − | 0.967668i | ||||
\(49\) | −0.0755561 | + | 0.525504i | −0.0107937 | + | 0.0750720i | ||||
\(50\) | −4.72423 | − | 3.59833i | −0.668107 | − | 0.508881i | ||||
\(51\) | 11.8865 | − | 4.33283i | 1.66445 | − | 0.606717i | ||||
\(52\) | 0.0405487 | − | 2.43288i | 0.00562309 | − | 0.337380i | ||||
\(53\) | −4.51572 | + | 3.91290i | −0.620282 | + | 0.537478i | −0.907320 | − | 0.420442i | \(-0.861875\pi\) |
0.287037 | + | 0.957919i | \(0.407330\pi\) | |||||||
\(54\) | −0.822134 | − | 7.30233i | −0.111878 | − | 0.993722i | ||||
\(55\) | −0.379710 | + | 1.29317i | −0.0512001 | + | 0.174372i | ||||
\(56\) | 7.06556 | − | 1.35300i | 0.944175 | − | 0.180802i | ||||
\(57\) | −9.33130 | − | 5.18591i | −1.23596 | − | 0.686890i | ||||
\(58\) | 6.57253 | + | 6.68299i | 0.863015 | + | 0.877519i | ||||
\(59\) | −0.185128 | + | 0.213649i | −0.0241016 | + | 0.0278147i | −0.767672 | − | 0.640842i | \(-0.778585\pi\) |
0.743571 | + | 0.668657i | \(0.233131\pi\) | |||||||
\(60\) | 2.43613 | + | 1.91704i | 0.314502 | + | 0.247489i | ||||
\(61\) | 1.15091 | + | 8.00476i | 0.147359 | + | 1.02490i | 0.920520 | + | 0.390695i | \(0.127765\pi\) |
−0.773161 | + | 0.634210i | \(0.781326\pi\) | |||||||
\(62\) | 2.81989 | + | 5.26814i | 0.358127 | + | 0.669055i | ||||
\(63\) | 6.47980 | − | 4.02915i | 0.816378 | − | 0.507625i | ||||
\(64\) | 3.98339 | + | 6.93777i | 0.497923 | + | 0.867221i | ||||
\(65\) | 0.990335 | + | 0.452271i | 0.122836 | + | 0.0560973i | ||||
\(66\) | −1.09509 | + | 3.52286i | −0.134796 | + | 0.433634i | ||||
\(67\) | 2.83225 | + | 4.40707i | 0.346014 | + | 0.538409i | 0.970024 | − | 0.243007i | \(-0.0781339\pi\) |
−0.624010 | + | 0.781416i | \(0.714498\pi\) | |||||||
\(68\) | −6.28932 | + | 13.1857i | −0.762692 | + | 1.59900i | ||||
\(69\) | −1.64886 | + | 8.14133i | −0.198499 | + | 0.980101i | ||||
\(70\) | −0.710403 | + | 3.13949i | −0.0849094 | + | 0.375241i | ||||
\(71\) | −6.21490 | + | 3.99407i | −0.737573 | + | 0.474009i | −0.854710 | − | 0.519106i | \(-0.826265\pi\) |
0.117137 | + | 0.993116i | \(0.462628\pi\) | |||||||
\(72\) | 6.58457 | + | 5.35196i | 0.775999 | + | 0.630734i | ||||
\(73\) | −1.39548 | + | 3.05568i | −0.163329 | + | 0.357640i | −0.973546 | − | 0.228489i | \(-0.926621\pi\) |
0.810218 | + | 0.586129i | \(0.199349\pi\) | |||||||
\(74\) | −0.492490 | − | 7.79863i | −0.0572508 | − | 0.906572i | ||||
\(75\) | 6.40934 | − | 3.43801i | 0.740086 | − | 0.396988i | ||||
\(76\) | 11.8839 | − | 3.27534i | 1.36318 | − | 0.375707i | ||||
\(77\) | −3.79165 | + | 0.545157i | −0.432099 | + | 0.0621264i | ||||
\(78\) | 2.69089 | + | 1.28060i | 0.304683 | + | 0.144999i | ||||
\(79\) | −4.79347 | − | 4.15356i | −0.539307 | − | 0.467312i | 0.342104 | − | 0.939662i | \(-0.388860\pi\) |
−0.881411 | + | 0.472350i | \(0.843406\pi\) | |||||||
\(80\) | −3.55810 | + | 0.391064i | −0.397808 | + | 0.0437223i | ||||
\(81\) | 8.55604 | + | 2.79181i | 0.950671 | + | 0.310201i | ||||
\(82\) | 7.69060 | − | 5.65773i | 0.849285 | − | 0.624792i | ||||
\(83\) | 11.1296 | + | 3.26795i | 1.22163 | + | 0.358704i | 0.828086 | − | 0.560601i | \(-0.189430\pi\) |
0.393547 | + | 0.919305i | \(0.371248\pi\) | |||||||
\(84\) | −2.07992 | + | 8.56172i | −0.226938 | + | 0.934160i | ||||
\(85\) | −4.28054 | − | 4.94001i | −0.464290 | − | 0.535819i | ||||
\(86\) | 1.55177 | + | 7.43095i | 0.167332 | + | 0.801300i | ||||
\(87\) | −10.7858 | + | 3.93159i | −1.15636 | + | 0.421511i | ||||
\(88\) | −1.94744 | − | 3.78865i | −0.207598 | − | 0.403871i | ||||
\(89\) | 7.29656 | + | 1.04909i | 0.773434 | + | 0.111203i | 0.517721 | − | 0.855550i | \(-0.326781\pi\) |
0.255713 | + | 0.966753i | \(0.417690\pi\) | |||||||
\(90\) | −3.37362 | + | 1.74164i | −0.355611 | + | 0.183584i | ||||
\(91\) | 3.09437i | 0.324378i | ||||||||
\(92\) | −5.22721 | − | 8.04216i | −0.544974 | − | 0.838453i | ||||
\(93\) | −7.30335 | + | 0.467676i | −0.757322 | + | 0.0484958i | ||||
\(94\) | 0.233727 | + | 0.642959i | 0.0241071 | + | 0.0663162i | ||||
\(95\) | −0.784954 | + | 5.45948i | −0.0805346 | + | 0.560130i | ||||
\(96\) | −9.75499 | + | 0.916578i | −0.995615 | + | 0.0935478i | ||||
\(97\) | −7.46649 | + | 2.19236i | −0.758107 | + | 0.222600i | −0.637869 | − | 0.770145i | \(-0.720184\pi\) |
−0.120238 | + | 0.992745i | \(0.538366\pi\) | |||||||
\(98\) | 0.734963 | − | 0.153479i | 0.0742425 | − | 0.0155037i | ||||
\(99\) | −3.37020 | − | 3.00939i | −0.338718 | − | 0.302455i | ||||
\(100\) | −2.50005 | + | 8.01763i | −0.250005 | + | 0.801763i | ||||
\(101\) | 3.58738 | − | 12.2175i | 0.356958 | − | 1.21569i | −0.563918 | − | 0.825831i | \(-0.690706\pi\) |
0.920876 | − | 0.389856i | \(-0.127475\pi\) | |||||||
\(102\) | −11.5019 | − | 13.7052i | −1.13886 | − | 1.35701i | ||||
\(103\) | 3.64636 | − | 5.67385i | 0.359287 | − | 0.559061i | −0.613811 | − | 0.789453i | \(-0.710364\pi\) |
0.973098 | + | 0.230392i | \(0.0740007\pi\) | |||||||
\(104\) | −3.25318 | + | 1.12157i | −0.319000 | + | 0.109979i | ||||
\(105\) | −3.13827 | − | 2.38597i | −0.306264 | − | 0.232847i | ||||
\(106\) | 7.38252 | + | 4.11138i | 0.717053 | + | 0.399333i | ||||
\(107\) | 0.939439 | + | 6.53395i | 0.0908190 | + | 0.631660i | 0.983491 | + | 0.180954i | \(0.0579186\pi\) |
−0.892672 | + | 0.450706i | \(0.851172\pi\) | |||||||
\(108\) | −9.30845 | + | 4.62090i | −0.895706 | + | 0.444646i | ||||
\(109\) | −5.11245 | − | 11.1947i | −0.489684 | − | 1.07226i | −0.979686 | − | 0.200537i | \(-0.935731\pi\) |
0.490002 | − | 0.871721i | \(-0.336996\pi\) | |||||||
\(110\) | 1.90224 | − | 0.120128i | 0.181372 | − | 0.0114538i | ||||
\(111\) | 8.94177 | + | 3.41122i | 0.848715 | + | 0.323778i | ||||
\(112\) | −5.21208 | − | 8.73726i | −0.492495 | − | 0.825593i | ||||
\(113\) | 1.98229 | + | 3.08450i | 0.186478 | + | 0.290165i | 0.921888 | − | 0.387458i | \(-0.126647\pi\) |
−0.735410 | + | 0.677623i | \(0.763010\pi\) | |||||||
\(114\) | −2.38419 | + | 14.9080i | −0.223300 | + | 1.39626i | ||||
\(115\) | 4.23368 | − | 0.703332i | 0.394792 | − | 0.0655860i | ||||
\(116\) | 5.70691 | − | 11.9646i | 0.529873 | − | 1.11089i | ||||
\(117\) | −2.79367 | + | 2.34876i | −0.258274 | + | 0.217143i | ||||
\(118\) | 0.373411 | + | 0.142831i | 0.0343752 | + | 0.0131486i | ||||
\(119\) | 7.71771 | − | 16.8994i | 0.707481 | − | 1.54917i | ||||
\(120\) | 1.37094 | − | 4.16414i | 0.125149 | − | 0.380132i | ||||
\(121\) | −3.62728 | − | 7.94264i | −0.329753 | − | 0.722058i | ||||
\(122\) | 10.0832 | − | 5.39727i | 0.912891 | − | 0.488646i | ||||
\(123\) | 2.40038 | + | 11.4443i | 0.216435 | + | 1.03189i | ||||
\(124\) | 5.63953 | − | 6.29332i | 0.506445 | − | 0.565157i | ||||
\(125\) | −6.22147 | − | 5.39093i | −0.556465 | − | 0.482180i | ||||
\(126\) | −8.48599 | − | 6.66571i | −0.755992 | − | 0.593828i | ||||
\(127\) | −11.3815 | + | 17.7100i | −1.00995 | + | 1.57151i | −0.204477 | + | 0.978871i | \(0.565549\pi\) |
−0.805470 | + | 0.592637i | \(0.798087\pi\) | |||||||
\(128\) | 7.29651 | − | 8.64644i | 0.644927 | − | 0.764244i | ||||
\(129\) | −9.06989 | − | 2.04393i | −0.798559 | − | 0.179958i | ||||
\(130\) | 0.122633 | − | 1.53479i | 0.0107556 | − | 0.134610i | ||||
\(131\) | −13.0644 | − | 15.0771i | −1.14144 | − | 1.31729i | −0.941318 | − | 0.337520i | \(-0.890412\pi\) |
−0.200121 | − | 0.979771i | \(-0.564134\pi\) | |||||||
\(132\) | 5.21141 | − | 0.246595i | 0.453595 | − | 0.0214634i | ||||
\(133\) | −15.0415 | + | 4.41659i | −1.30427 | + | 0.382967i | ||||
\(134\) | 4.48909 | − | 5.89371i | 0.387798 | − | 0.509139i | ||||
\(135\) | −0.227969 | − | 4.64435i | −0.0196204 | − | 0.399722i | ||||
\(136\) | 20.5640 | + | 1.98850i | 1.76335 | + | 0.170512i | ||||
\(137\) | − | 19.0753i | − | 1.62971i | −0.579662 | − | 0.814857i | \(-0.696815\pi\) | ||
0.579662 | − | 0.814857i | \(-0.303185\pi\) | |||||||
\(138\) | 11.6175 | − | 1.74203i | 0.988944 | − | 0.148291i | ||||
\(139\) | 12.2140i | 1.03598i | 0.855388 | + | 0.517988i | \(0.173319\pi\) | ||||
−0.855388 | + | 0.517988i | \(0.826681\pi\) | |||||||
\(140\) | 4.51599 | − | 0.572661i | 0.381671 | − | 0.0483987i | ||||
\(141\) | −0.835274 | − | 0.0659991i | −0.0703427 | − | 0.00555813i | ||||
\(142\) | 8.31138 | + | 6.33057i | 0.697476 | + | 0.531250i | ||||
\(143\) | 1.75810 | − | 0.516224i | 0.147019 | − | 0.0431688i | ||||
\(144\) | 3.93200 | − | 11.3375i | 0.327667 | − | 0.944793i | ||||
\(145\) | 3.88415 | + | 4.48255i | 0.322561 | + | 0.372255i | ||||
\(146\) | 4.73559 | + | 0.378383i | 0.391921 | + | 0.0313152i | ||||
\(147\) | −0.202156 | + | 0.897063i | −0.0166736 | + | 0.0739885i | ||||
\(148\) | −10.1274 | + | 4.42255i | −0.832463 | + | 0.363532i | ||||
\(149\) | −0.114192 | + | 0.177686i | −0.00935495 | + | 0.0145566i | −0.845900 | − | 0.533342i | \(-0.820936\pi\) |
0.836545 | + | 0.547899i | \(0.184572\pi\) | |||||||
\(150\) | −7.66626 | − | 6.85766i | −0.625947 | − | 0.559926i | ||||
\(151\) | −8.38713 | − | 7.26749i | −0.682535 | − | 0.591420i | 0.243025 | − | 0.970020i | \(-0.421860\pi\) |
−0.925560 | + | 0.378600i | \(0.876406\pi\) | |||||||
\(152\) | −10.0951 | − | 14.2127i | −0.818824 | − | 1.15280i | ||||
\(153\) | 21.1152 | − | 5.85965i | 1.70707 | − | 0.473725i | ||||
\(154\) | 2.55655 | + | 4.77616i | 0.206013 | + | 0.384874i | ||||
\(155\) | 1.57072 | + | 3.43939i | 0.126163 | + | 0.276258i | ||||
\(156\) | 0.401938 | − | 4.19524i | 0.0321808 | − | 0.335888i | ||||
\(157\) | 1.67861 | − | 3.67565i | 0.133968 | − | 0.293349i | −0.830745 | − | 0.556654i | \(-0.812085\pi\) |
0.964713 | + | 0.263304i | \(0.0848124\pi\) | |||||||
\(158\) | −3.20457 | + | 8.37792i | −0.254942 | + | 0.666511i | ||||
\(159\) | −8.33101 | + | 6.14019i | −0.660692 | + | 0.486948i | ||||
\(160\) | 2.23890 | + | 4.54019i | 0.177000 | + | 0.358934i | ||||
\(161\) | 6.81706 | + | 10.1152i | 0.537259 | + | 0.797188i | ||||
\(162\) | −0.423276 | − | 12.7209i | −0.0332557 | − | 0.999447i | ||||
\(163\) | −6.30664 | − | 9.81332i | −0.493974 | − | 0.768639i | 0.501349 | − | 0.865245i | \(-0.332837\pi\) |
−0.995323 | + | 0.0966068i | \(0.969201\pi\) | |||||||
\(164\) | −11.2356 | − | 7.48814i | −0.877352 | − | 0.584726i | ||||
\(165\) | −0.832066 | + | 2.18108i | −0.0647762 | + | 0.169797i | ||||
\(166\) | −1.03387 | − | 16.3715i | −0.0802443 | − | 1.27068i | ||||
\(167\) | −8.32163 | − | 18.2218i | −0.643947 | − | 1.41005i | −0.896753 | − | 0.442531i | \(-0.854081\pi\) |
0.252806 | − | 0.967517i | \(-0.418646\pi\) | |||||||
\(168\) | 12.3845 | − | 1.37220i | 0.955483 | − | 0.105868i | ||||
\(169\) | 1.63945 | + | 11.4026i | 0.126111 | + | 0.877124i | ||||
\(170\) | −4.49768 | + | 8.07616i | −0.344956 | + | 0.619413i | ||||
\(171\) | −15.4045 | − | 10.2274i | −1.17801 | − | 0.782112i | ||||
\(172\) | 9.12687 | − | 5.65281i | 0.695917 | − | 0.431023i | ||||
\(173\) | −7.98798 | + | 12.4295i | −0.607315 | + | 0.945001i | 0.392368 | + | 0.919808i | \(0.371656\pi\) |
−0.999683 | + | 0.0251920i | \(0.991980\pi\) | |||||||
\(174\) | 10.4368 | + | 12.4360i | 0.791212 | + | 0.942772i | ||||
\(175\) | 3.00901 | − | 10.2478i | 0.227460 | − | 0.774657i | ||||
\(176\) | −4.09464 | + | 4.41890i | −0.308645 | + | 0.333087i | ||||
\(177\) | −0.348803 | + | 0.343643i | −0.0262176 | + | 0.0258298i | ||||
\(178\) | −2.13104 | − | 10.2049i | −0.159728 | − | 0.764888i | ||||
\(179\) | 11.7452 | − | 3.44870i | 0.877878 | − | 0.257768i | 0.188415 | − | 0.982089i | \(-0.439665\pi\) |
0.689463 | + | 0.724321i | \(0.257847\pi\) | |||||||
\(180\) | 3.94484 | + | 3.64246i | 0.294031 | + | 0.271493i | ||||
\(181\) | −0.701366 | + | 4.87811i | −0.0521321 | + | 0.362587i | 0.947011 | + | 0.321201i | \(0.104086\pi\) |
−0.999143 | + | 0.0413861i | \(0.986823\pi\) | |||||||
\(182\) | 4.11279 | − | 1.49507i | 0.304860 | − | 0.110822i | ||||
\(183\) | 0.895131 | + | 13.9786i | 0.0661700 | + | 1.03333i | ||||
\(184\) | −8.16342 | + | 10.8332i | −0.601815 | + | 0.798635i | ||||
\(185\) | − | 4.94462i | − | 0.363536i | ||||||
\(186\) | 4.15027 | + | 9.48106i | 0.304313 | + | 0.695185i | ||||
\(187\) | −10.8891 | − | 1.56561i | −0.796289 | − | 0.114489i | ||||
\(188\) | 0.741642 | − | 0.621303i | 0.0540898 | − | 0.0453132i | ||||
\(189\) | 11.7382 | − | 6.07295i | 0.853827 | − | 0.441742i | ||||
\(190\) | 7.63555 | − | 1.59450i | 0.553941 | − | 0.115677i | ||||
\(191\) | 11.5586 | + | 13.3393i | 0.836350 | + | 0.965200i | 0.999772 | − | 0.0213564i | \(-0.00679848\pi\) |
−0.163421 | + | 0.986556i | \(0.552253\pi\) | |||||||
\(192\) | 5.93145 | + | 12.5227i | 0.428066 | + | 0.903748i | ||||
\(193\) | −0.269554 | − | 0.0791481i | −0.0194029 | − | 0.00569720i | 0.272017 | − | 0.962293i | \(-0.412309\pi\) |
−0.291420 | + | 0.956595i | \(0.594128\pi\) | |||||||
\(194\) | 6.52141 | + | 8.86460i | 0.468210 | + | 0.636441i | ||||
\(195\) | 1.64828 | + | 0.916036i | 0.118035 | + | 0.0655987i | ||||
\(196\) | −0.559096 | − | 0.902699i | −0.0399354 | − | 0.0644785i | ||||
\(197\) | −16.1860 | − | 14.0252i | −1.15320 | − | 0.999255i | −0.999939 | − | 0.0110696i | \(-0.996476\pi\) |
−0.153263 | − | 0.988185i | \(-0.548978\pi\) | |||||||
\(198\) | −2.37149 | + | 5.93341i | −0.168535 | + | 0.421669i | ||||
\(199\) | 6.76489 | − | 0.972645i | 0.479551 | − | 0.0689490i | 0.101699 | − | 0.994815i | \(-0.467572\pi\) |
0.377851 | + | 0.925866i | \(0.376663\pi\) | |||||||
\(200\) | 11.8643 | − | 0.550920i | 0.838934 | − | 0.0389559i | ||||
\(201\) | 4.28909 | + | 7.99596i | 0.302529 | + | 0.563991i | ||||
\(202\) | −17.9718 | + | 1.13493i | −1.26449 | + | 0.0798537i | ||||
\(203\) | −7.00302 | + | 15.3345i | −0.491516 | + | 1.07627i | ||||
\(204\) | −12.6585 | + | 21.9092i | −0.886275 | + | 1.53395i | ||||
\(205\) | 5.08239 | − | 3.26626i | 0.354970 | − | 0.228125i | ||||
\(206\) | −9.30300 | − | 2.10508i | −0.648171 | − | 0.146668i | ||||
\(207\) | −3.95777 | + | 13.8324i | −0.275084 | + | 0.961420i | ||||
\(208\) | 3.06250 | + | 3.78196i | 0.212346 | + | 0.262232i | ||||
\(209\) | 5.01866 | + | 7.80918i | 0.347148 | + | 0.540172i | ||||
\(210\) | −1.65496 | + | 5.32394i | −0.114203 | + | 0.367386i | ||||
\(211\) | 14.6613 | + | 6.69561i | 1.00933 | + | 0.460945i | 0.850282 | − | 0.526327i | \(-0.176431\pi\) |
0.159045 | + | 0.987271i | \(0.449158\pi\) | |||||||
\(212\) | 1.89759 | − | 11.7987i | 0.130327 | − | 0.810338i | ||||
\(213\) | −11.2760 | + | 6.04853i | −0.772619 | + | 0.414438i | ||||
\(214\) | 8.23049 | − | 4.40556i | 0.562625 | − | 0.301158i | ||||
\(215\) | 0.683618 | + | 4.75467i | 0.0466224 | + | 0.324266i | ||||
\(216\) | 10.6392 | + | 10.1394i | 0.723905 | + | 0.689900i | ||||
\(217\) | −7.03754 | + | 8.12175i | −0.477739 | + | 0.551340i | ||||
\(218\) | −12.4090 | + | 12.2039i | −0.840442 | + | 0.826551i | ||||
\(219\) | −2.82643 | + | 5.08575i | −0.190992 | + | 0.343663i | ||||
\(220\) | −1.07875 | − | 2.47027i | −0.0727294 | − | 0.166545i | ||||
\(221\) | −2.50364 | + | 8.52662i | −0.168413 | + | 0.573563i | ||||
\(222\) | 0.213621 | − | 13.5328i | 0.0143373 | − | 0.908265i | ||||
\(223\) | 6.92303 | − | 5.99884i | 0.463600 | − | 0.401712i | −0.391497 | − | 0.920179i | \(-0.628043\pi\) |
0.855097 | + | 0.518467i | \(0.173497\pi\) | |||||||
\(224\) | −9.09460 | + | 11.1490i | −0.607658 | + | 0.744921i | ||||
\(225\) | 11.5359 | − | 5.06187i | 0.769057 | − | 0.337458i | ||||
\(226\) | 3.14191 | − | 4.12500i | 0.208997 | − | 0.274391i | ||||
\(227\) | 3.23806 | − | 22.5212i | 0.214918 | − | 1.49479i | −0.541502 | − | 0.840699i | \(-0.682144\pi\) |
0.756420 | − | 0.654086i | \(-0.226947\pi\) | |||||||
\(228\) | 20.9665 | − | 4.03407i | 1.38854 | − | 0.267163i | ||||
\(229\) | 15.4954 | 1.02397 | 0.511983 | − | 0.858995i | \(-0.328911\pi\) | ||||
0.511983 | + | 0.858995i | \(0.328911\pi\) | |||||||
\(230\) | −2.98035 | − | 5.28724i | −0.196518 | − | 0.348630i | ||||
\(231\) | −6.62131 | + | 0.424001i | −0.435650 | + | 0.0278972i | ||||
\(232\) | −18.6597 | − | 1.80435i | −1.22507 | − | 0.118462i | ||||
\(233\) | 14.5695 | + | 2.09478i | 0.954479 | + | 0.137233i | 0.601920 | − | 0.798556i | \(-0.294403\pi\) |
0.352559 | + | 0.935790i | \(0.385312\pi\) | |||||||
\(234\) | 4.47156 | + | 2.57829i | 0.292315 | + | 0.168548i | ||||
\(235\) | 0.121961 | + | 0.415362i | 0.00795588 | + | 0.0270952i | ||||
\(236\) | 0.00942212 | − | 0.565317i | 0.000613328 | − | 0.0367990i | ||||
\(237\) | −7.71005 | − | 7.82581i | −0.500821 | − | 0.508341i | ||||
\(238\) | −26.1902 | − | 2.09265i | −1.69766 | − | 0.135646i | ||||
\(239\) | 4.90891 | + | 1.44139i | 0.317531 | + | 0.0932355i | 0.436614 | − | 0.899649i | \(-0.356177\pi\) |
−0.119083 | + | 0.992884i | \(0.537996\pi\) | |||||||
\(240\) | −6.19701 | + | 0.189797i | −0.400016 | + | 0.0122514i | ||||
\(241\) | −1.20704 | − | 0.775718i | −0.0777523 | − | 0.0499684i | 0.501187 | − | 0.865339i | \(-0.332897\pi\) |
−0.578939 | + | 0.815371i | \(0.696533\pi\) | |||||||
\(242\) | −8.80416 | + | 8.65864i | −0.565953 | + | 0.556599i | ||||
\(243\) | 14.3926 | + | 5.98786i | 0.923283 | + | 0.384121i | ||||
\(244\) | −12.0454 | − | 10.7940i | −0.771128 | − | 0.691018i | ||||
\(245\) | 0.470264 | − | 0.0676137i | 0.0300441 | − | 0.00431968i | ||||
\(246\) | 14.0510 | − | 8.71978i | 0.895860 | − | 0.555953i | ||||
\(247\) | 6.82095 | − | 3.11503i | 0.434007 | − | 0.198204i | ||||
\(248\) | −11.0894 | − | 4.45494i | −0.704175 | − | 0.282889i | ||||
\(249\) | 18.7713 | + | 7.16110i | 1.18958 | + | 0.453817i | ||||
\(250\) | −4.15923 | + | 10.8737i | −0.263053 | + | 0.687716i | ||||
\(251\) | −15.1964 | + | 9.76612i | −0.959187 | + | 0.616432i | −0.923773 | − | 0.382941i | \(-0.874911\pi\) |
−0.0354141 | + | 0.999373i | \(0.511275\pi\) | |||||||
\(252\) | −4.75944 | + | 14.4995i | −0.299816 | + | 0.913382i | ||||
\(253\) | 4.60977 | − | 5.56066i | 0.289814 | − | 0.349595i | ||||
\(254\) | 29.0378 | + | 6.57066i | 1.82199 | + | 0.412280i | ||||
\(255\) | −6.71710 | − | 9.11377i | −0.420641 | − | 0.570726i | ||||
\(256\) | −15.0175 | − | 5.52033i | −0.938595 | − | 0.345021i | ||||
\(257\) | 1.35868 | + | 0.620488i | 0.0847520 | + | 0.0387050i | 0.457340 | − | 0.889292i | \(-0.348802\pi\) |
−0.372588 | + | 0.927997i | \(0.621530\pi\) | |||||||
\(258\) | 1.66557 | + | 13.0425i | 0.103694 | + | 0.811991i | ||||
\(259\) | 12.7836 | − | 5.83810i | 0.794337 | − | 0.362762i | ||||
\(260\) | −2.09917 | + | 0.578554i | −0.130185 | + | 0.0358804i | ||||
\(261\) | −19.1599 | + | 5.31703i | −1.18597 | + | 0.329116i | ||||
\(262\) | −13.7271 | + | 24.6487i | −0.848062 | + | 1.52280i | ||||
\(263\) | 17.6809 | − | 20.4048i | 1.09025 | − | 1.25822i | 0.126341 | − | 0.991987i | \(-0.459677\pi\) |
0.963910 | − | 0.266229i | \(-0.0857778\pi\) | |||||||
\(264\) | −2.84569 | − | 6.80744i | −0.175140 | − | 0.418969i | ||||
\(265\) | 4.49823 | + | 2.89084i | 0.276324 | + | 0.177583i | ||||
\(266\) | 13.1376 | + | 17.8581i | 0.805520 | + | 1.09495i | ||||
\(267\) | 12.4556 | + | 2.80692i | 0.762271 | + | 0.171780i | ||||
\(268\) | −10.0024 | − | 3.11894i | −0.610993 | − | 0.190520i | ||||
\(269\) | −19.9009 | + | 17.2443i | −1.21338 | + | 1.05140i | −0.216202 | + | 0.976349i | \(0.569367\pi\) |
−0.997180 | + | 0.0750520i | \(0.976088\pi\) | |||||||
\(270\) | −6.06275 | + | 2.54696i | −0.368967 | + | 0.155003i | ||||
\(271\) | 0.989518 | + | 3.36999i | 0.0601089 | + | 0.204712i | 0.984072 | − | 0.177769i | \(-0.0568879\pi\) |
−0.923963 | + | 0.382481i | \(0.875070\pi\) | |||||||
\(272\) | −7.29275 | − | 28.2928i | −0.442188 | − | 1.71550i | ||||
\(273\) | −0.422174 | + | 5.34296i | −0.0255511 | + | 0.323370i | ||||
\(274\) | −25.3534 | + | 9.21641i | −1.53165 | + | 0.556783i | ||||
\(275\) | −6.32434 | −0.381372 | ||||||||
\(276\) | −7.92844 | − | 14.5993i | −0.477236 | − | 0.878775i | ||||
\(277\) | 23.2924 | 1.39950 | 0.699752 | − | 0.714386i | \(-0.253294\pi\) | ||||
0.699752 | + | 0.714386i | \(0.253294\pi\) | |||||||
\(278\) | 16.2338 | − | 5.90129i | 0.973641 | − | 0.353936i | ||||
\(279\) | −12.6743 | − | 0.188894i | −0.758789 | − | 0.0113088i | ||||
\(280\) | −2.94308 | − | 5.72560i | −0.175882 | − | 0.342170i | ||||
\(281\) | −4.53568 | − | 15.4471i | −0.270576 | − | 0.921498i | −0.976916 | − | 0.213625i | \(-0.931473\pi\) |
0.706340 | − | 0.707873i | \(-0.250345\pi\) | |||||||
\(282\) | 0.315849 | + | 1.14207i | 0.0188085 | + | 0.0680091i | ||||
\(283\) | 20.0340 | − | 17.3595i | 1.19090 | − | 1.03192i | 0.192174 | − | 0.981361i | \(-0.438446\pi\) |
0.998721 | − | 0.0505561i | \(-0.0160994\pi\) | |||||||
\(284\) | 4.39837 | − | 14.1055i | 0.260995 | − | 0.837007i | ||||
\(285\) | −2.10021 | + | 9.31962i | −0.124406 | + | 0.552046i | ||||
\(286\) | −1.53556 | − | 2.08730i | −0.0907997 | − | 0.123425i | ||||
\(287\) | 14.4452 | + | 9.28339i | 0.852675 | + | 0.547981i | ||||
\(288\) | −16.9687 | + | 0.251726i | −0.999890 | + | 0.0148331i | ||||
\(289\) | 23.8070 | − | 27.4747i | 1.40041 | − | 1.61616i | ||||
\(290\) | 4.08118 | − | 7.32828i | 0.239655 | − | 0.430332i | ||||
\(291\) | −13.1913 | + | 2.76681i | −0.773286 | + | 0.162193i | ||||
\(292\) | −1.78513 | − | 6.47699i | −0.104467 | − | 0.379037i | ||||
\(293\) | 2.87530 | − | 1.31311i | 0.167977 | − | 0.0767125i | −0.329652 | − | 0.944103i | \(-0.606931\pi\) |
0.497629 | + | 0.867390i | \(0.334204\pi\) | |||||||
\(294\) | 1.28998 | − | 0.164734i | 0.0752330 | − | 0.00960749i | ||||
\(295\) | 0.230120 | + | 0.105092i | 0.0133981 | + | 0.00611870i | ||||
\(296\) | 10.7712 | + | 11.3237i | 0.626064 | + | 0.658174i | ||||
\(297\) | −5.40864 | − | 5.65602i | −0.313841 | − | 0.328196i | ||||
\(298\) | 0.291338 | + | 0.0659240i | 0.0168768 | + | 0.00381887i | ||||
\(299\) | −3.91620 | − | 4.32510i | −0.226480 | − | 0.250127i | ||||
\(300\) | −5.41063 | + | 13.5027i | −0.312383 | + | 0.779579i | ||||
\(301\) | −11.4854 | + | 7.38123i | −0.662008 | + | 0.425447i | ||||
\(302\) | −5.60705 | + | 14.6588i | −0.322649 | + | 0.843522i | ||||
\(303\) | 7.86109 | − | 20.6062i | 0.451608 | − | 1.18379i | ||||
\(304\) | −14.0128 | + | 20.2846i | −0.803687 | + | 1.16340i | ||||
\(305\) | 6.58298 | − | 3.00635i | 0.376940 | − | 0.172143i | ||||
\(306\) | −17.9902 | − | 25.2335i | −1.02843 | − | 1.44250i | ||||
\(307\) | −23.9785 | + | 3.44759i | −1.36853 | + | 0.196764i | −0.787095 | − | 0.616832i | \(-0.788416\pi\) |
−0.581431 | + | 0.813596i | \(0.697507\pi\) | |||||||
\(308\) | 5.11287 | − | 5.70560i | 0.291333 | − | 0.325107i | ||||
\(309\) | 7.07016 | − | 9.29938i | 0.402207 | − | 0.529023i | ||||
\(310\) | 3.81245 | − | 3.74944i | 0.216533 | − | 0.212954i | ||||
\(311\) | 29.4574 | + | 18.9311i | 1.67038 | + | 1.07349i | 0.899992 | + | 0.435906i | \(0.143572\pi\) |
0.770384 | + | 0.637580i | \(0.220064\pi\) | |||||||
\(312\) | −5.77018 | + | 1.49274i | −0.326672 | + | 0.0845100i | ||||
\(313\) | −14.9268 | − | 4.38289i | −0.843711 | − | 0.247736i | −0.168814 | − | 0.985648i | \(-0.553994\pi\) |
−0.674897 | + | 0.737912i | \(0.735812\pi\) | |||||||
\(314\) | −5.69642 | − | 0.455155i | −0.321468 | − | 0.0256859i | ||||
\(315\) | −5.09323 | − | 4.54795i | −0.286971 | − | 0.256248i | ||||
\(316\) | 12.6836 | + | 0.211397i | 0.713506 | + | 0.0118920i | ||||
\(317\) | 3.54627 | + | 12.0775i | 0.199179 | + | 0.678340i | 0.997136 | + | 0.0756264i | \(0.0240957\pi\) |
−0.797958 | + | 0.602714i | \(0.794086\pi\) | |||||||
\(318\) | 12.1862 | + | 8.10622i | 0.683370 | + | 0.454574i | ||||
\(319\) | 9.88072 | + | 1.42063i | 0.553214 | + | 0.0795402i | ||||
\(320\) | 4.95271 | − | 5.16939i | 0.276865 | − | 0.288978i | ||||
\(321\) | 0.730657 | + | 11.4101i | 0.0407813 | + | 0.636851i | ||||
\(322\) | 10.1506 | − | 13.9479i | 0.565668 | − | 0.777287i | ||||
\(323\) | −45.0208 | −2.50502 | ||||||||
\(324\) | −16.7031 | + | 6.70879i | −0.927948 | + | 0.372711i | ||||
\(325\) | −0.727053 | + | 5.05677i | −0.0403297 | + | 0.280499i | ||||
\(326\) | −9.99597 | + | 13.1237i | −0.553625 | + | 0.726853i | ||||
\(327\) | −7.30019 | − | 20.0271i | −0.403701 | − | 1.10750i | ||||
\(328\) | −4.52406 | + | 18.5514i | −0.249800 | + | 1.02433i | ||||
\(329\) | −0.929864 | + | 0.805731i | −0.0512650 | + | 0.0444214i | ||||
\(330\) | 3.30094 | + | 0.0521064i | 0.181711 | + | 0.00286836i | ||||
\(331\) | −3.55143 | + | 12.0950i | −0.195204 | + | 0.664804i | 0.802473 | + | 0.596688i | \(0.203517\pi\) |
−0.997677 | + | 0.0681159i | \(0.978301\pi\) | |||||||
\(332\) | −21.2602 | + | 9.28418i | −1.16680 | + | 0.509536i | ||||
\(333\) | 14.9741 | + | 7.10999i | 0.820574 | + | 0.389625i | ||||
\(334\) | −20.1983 | + | 19.8645i | −1.10520 | + | 1.08694i | ||||
\(335\) | 3.06999 | − | 3.54296i | 0.167732 | − | 0.193573i | ||||
\(336\) | −7.80749 | − | 15.7975i | −0.425934 | − | 0.861822i | ||||
\(337\) | −0.974611 | − | 6.77857i | −0.0530905 | − | 0.369252i | −0.998996 | − | 0.0448089i | \(-0.985732\pi\) |
0.945905 | − | 0.324443i | \(-0.105177\pi\) | |||||||
\(338\) | 14.3633 | − | 7.68829i | 0.781261 | − | 0.418188i | ||||
\(339\) | 3.00193 | + | 5.59636i | 0.163042 | + | 0.303952i | ||||
\(340\) | 12.9073 | + | 2.07589i | 0.699995 | + | 0.112581i | ||||
\(341\) | 5.78850 | + | 2.64352i | 0.313465 | + | 0.143155i | ||||
\(342\) | −6.15065 | + | 25.4160i | −0.332589 | + | 1.37434i | ||||
\(343\) | 10.3557 | + | 16.1137i | 0.559153 | + | 0.870059i | ||||
\(344\) | −11.9230 | − | 9.39949i | −0.642844 | − | 0.506786i | ||||
\(345\) | 7.40612 | − | 0.636809i | 0.398732 | − | 0.0342846i | ||||
\(346\) | 20.3798 | + | 4.61154i | 1.09563 | + | 0.247918i | ||||
\(347\) | −23.6115 | + | 15.1742i | −1.26753 | + | 0.814593i | −0.989296 | − | 0.145920i | \(-0.953386\pi\) |
−0.278235 | + | 0.960513i | \(0.589749\pi\) | |||||||
\(348\) | 11.4863 | − | 19.8803i | 0.615731 | − | 1.06570i | ||||
\(349\) | 10.2308 | − | 22.4024i | 0.547645 | − | 1.19917i | −0.410229 | − | 0.911983i | \(-0.634551\pi\) |
0.957873 | − | 0.287192i | \(-0.0927216\pi\) | |||||||
\(350\) | −15.0743 | + | 0.951956i | −0.805756 | + | 0.0508842i | ||||
\(351\) | −5.14418 | + | 3.67438i | −0.274576 | + | 0.196124i | ||||
\(352\) | 7.85161 | + | 3.30724i | 0.418492 | + | 0.176276i | ||||
\(353\) | −7.08525 | + | 1.01870i | −0.377110 | + | 0.0542202i | −0.328264 | − | 0.944586i | \(-0.606463\pi\) |
−0.0488460 | + | 0.998806i | \(0.515554\pi\) | |||||||
\(354\) | 0.625270 | + | 0.297566i | 0.0332327 | + | 0.0158155i | ||||
\(355\) | 4.99632 | + | 4.32934i | 0.265177 | + | 0.229778i | ||||
\(356\) | −12.5339 | + | 7.76297i | −0.664294 | + | 0.411437i | ||||
\(357\) | 15.6316 | − | 28.1268i | 0.827310 | − | 1.48863i | ||||
\(358\) | −10.2585 | − | 13.9445i | −0.542181 | − | 0.736990i | ||||
\(359\) | 15.8738 | + | 4.66096i | 0.837786 | + | 0.245996i | 0.672358 | − | 0.740226i | \(-0.265281\pi\) |
0.165428 | + | 0.986222i | \(0.447100\pi\) | |||||||
\(360\) | 2.93528 | − | 7.00304i | 0.154703 | − | 0.369093i | ||||
\(361\) | 12.4351 | + | 14.3509i | 0.654480 | + | 0.755310i | ||||
\(362\) | 6.82246 | − | 1.42470i | 0.358580 | − | 0.0748806i | ||||
\(363\) | −5.17948 | − | 14.2092i | −0.271852 | − | 0.745789i | ||||
\(364\) | −3.97426 | − | 4.74403i | −0.208308 | − | 0.248655i | ||||
\(365\) | 2.97553 | + | 0.427816i | 0.155746 | + | 0.0223929i | ||||
\(366\) | 18.1467 | − | 7.94362i | 0.948545 | − | 0.415219i | ||||
\(367\) | − | 0.0283362i | − | 0.00147914i | −1.00000 | 0.000739568i | \(-0.999765\pi\) | |||
1.00000 | 0.000739568i | \(-0.000235412\pi\) | ||||||||
\(368\) | 18.3429 | + | 5.61599i | 0.956188 | + | 0.292754i | ||||
\(369\) | 2.58329 | + | 20.0879i | 0.134481 | + | 1.04574i | ||||
\(370\) | −6.57199 | + | 2.38904i | −0.341661 | + | 0.124200i | ||||
\(371\) | −2.16282 | + | 15.0428i | −0.112288 | + | 0.780982i | ||||
\(372\) | 10.5962 | − | 10.0971i | 0.549388 | − | 0.523509i | ||||
\(373\) | −16.2386 | + | 4.76807i | −0.840801 | + | 0.246882i | −0.673651 | − | 0.739050i | \(-0.735275\pi\) |
−0.167151 | + | 0.985931i | \(0.553457\pi\) | |||||||
\(374\) | 3.18027 | + | 15.2293i | 0.164448 | + | 0.787490i | ||||
\(375\) | −10.0069 | − | 10.1572i | −0.516755 | − | 0.524514i | ||||
\(376\) | −1.18412 | − | 0.685543i | −0.0610661 | − | 0.0353542i | ||||
\(377\) | 2.27180 | − | 7.73703i | 0.117003 | − | 0.398477i | ||||
\(378\) | −13.7431 | − | 12.6672i | −0.706868 | − | 0.651532i | ||||
\(379\) | 9.71366 | − | 15.1148i | 0.498957 | − | 0.776393i | −0.496853 | − | 0.867835i | \(-0.665511\pi\) |
0.995810 | + | 0.0914418i | \(0.0291476\pi\) | |||||||
\(380\) | −5.80846 | − | 9.37816i | −0.297968 | − | 0.481090i | ||||
\(381\) | −22.0683 | + | 29.0265i | −1.13060 | + | 1.48707i | ||||
\(382\) | 12.1449 | − | 21.8078i | 0.621388 | − | 1.11578i | ||||
\(383\) | 0.754662 | + | 5.24879i | 0.0385614 | + | 0.268201i | 0.999976 | − | 0.00690243i | \(-0.00219713\pi\) |
−0.961415 | + | 0.275103i | \(0.911288\pi\) | |||||||
\(384\) | 13.7783 | − | 13.9341i | 0.703122 | − | 0.711069i | ||||
\(385\) | 1.42403 | + | 3.11819i | 0.0725753 | + | 0.158918i | ||||
\(386\) | 0.0250399 | + | 0.396510i | 0.00127450 | + | 0.0201818i | ||||
\(387\) | −15.3818 | − | 4.76662i | −0.781903 | − | 0.242301i | ||||
\(388\) | 8.63123 | − | 12.9507i | 0.438184 | − | 0.657474i | ||||
\(389\) | −4.03413 | − | 6.27723i | −0.204539 | − | 0.318268i | 0.723796 | − | 0.690014i | \(-0.242396\pi\) |
−0.928335 | + | 0.371746i | \(0.878759\pi\) | |||||||
\(390\) | 0.421142 | − | 2.63335i | 0.0213254 | − | 0.133345i | ||||
\(391\) | 10.6004 | + | 33.3883i | 0.536087 | + | 1.68852i | ||||
\(392\) | −0.929663 | + | 1.17925i | −0.0469550 | + | 0.0595612i | ||||
\(393\) | −20.5008 | − | 27.8156i | −1.03413 | − | 1.40311i | ||||
\(394\) | −10.8208 | + | 28.2895i | −0.545144 | + | 1.42520i | ||||
\(395\) | −2.35787 | + | 5.16301i | −0.118637 | + | 0.259779i | ||||
\(396\) | 9.03202 | + | 0.285218i | 0.453876 | + | 0.0143328i | ||||
\(397\) | 3.95821 | + | 8.66727i | 0.198657 | + | 0.434998i | 0.982575 | − | 0.185866i | \(-0.0595091\pi\) |
−0.783918 | + | 0.620864i | \(0.786782\pi\) | |||||||
\(398\) | −4.56128 | − | 8.52141i | −0.228636 | − | 0.427140i | ||||
\(399\) | −26.5743 | + | 5.57384i | −1.33038 | + | 0.279041i | ||||
\(400\) | −6.46458 | − | 15.5029i | −0.323229 | − | 0.775145i | ||||
\(401\) | 11.1679 | + | 9.67704i | 0.557699 | + | 0.483249i | 0.887504 | − | 0.460800i | \(-0.152438\pi\) |
−0.329805 | + | 0.944049i | \(0.606983\pi\) | |||||||
\(402\) | 8.55527 | − | 9.56403i | 0.426698 | − | 0.477010i | ||||
\(403\) | 2.77914 | − | 4.32442i | 0.138439 | − | 0.215415i | ||||
\(404\) | 10.1917 | + | 23.3383i | 0.507056 | + | 1.16112i | ||||
\(405\) | 0.240014 | − | 8.05035i | 0.0119264 | − | 0.400025i | ||||
\(406\) | 23.7649 | + | 1.89886i | 1.17943 | + | 0.0942390i | ||||
\(407\) | −5.44962 | − | 6.28920i | −0.270128 | − | 0.311744i | ||||
\(408\) | 35.2360 | + | 6.23908i | 1.74444 | + | 0.308881i | ||||
\(409\) | 16.1986 | − | 4.75634i | 0.800970 | − | 0.235186i | 0.144467 | − | 0.989510i | \(-0.453853\pi\) |
0.656503 | + | 0.754324i | \(0.272035\pi\) | |||||||
\(410\) | −6.79685 | − | 5.17699i | −0.335672 | − | 0.255673i | ||||
\(411\) | 2.60250 | − | 32.9368i | 0.128372 | − | 1.62465i | ||||
\(412\) | 1.69692 | + | 13.3819i | 0.0836014 | + | 0.659278i | ||||
\(413\) | 0.719025i | 0.0353809i | ||||||||
\(414\) | 20.2972 | − | 1.42291i | 0.997552 | − | 0.0699321i | ||||
\(415\) | − | 10.3801i | − | 0.509541i | ||||||
\(416\) | 3.54700 | − | 5.89772i | 0.173906 | − | 0.289160i | ||||
\(417\) | −1.66639 | + | 21.0895i | −0.0816033 | + | 1.03276i | ||||
\(418\) | 7.95453 | − | 10.4435i | 0.389069 | − | 0.510807i | ||||
\(419\) | 7.24752 | − | 2.12806i | 0.354064 | − | 0.103963i | −0.0998634 | − | 0.995001i | \(-0.531841\pi\) |
0.453928 | + | 0.891038i | \(0.350022\pi\) | |||||||
\(420\) | 7.87575 | − | 0.372668i | 0.384297 | − | 0.0181843i | ||||
\(421\) | −10.1793 | − | 11.7476i | −0.496111 | − | 0.572543i | 0.451377 | − | 0.892333i | \(-0.350933\pi\) |
−0.947488 | + | 0.319791i | \(0.896387\pi\) | |||||||
\(422\) | 1.81551 | − | 22.7217i | 0.0883775 | − | 1.10608i | ||||
\(423\) | −1.43324 | − | 0.227917i | −0.0696864 | − | 0.0110817i | ||||
\(424\) | −16.5987 | + | 3.17852i | −0.806105 | + | 0.154362i | ||||
\(425\) | 16.5828 | − | 25.8034i | 0.804385 | − | 1.25165i | ||||
\(426\) | 13.4873 | + | 12.0647i | 0.653462 | + | 0.584539i | ||||
\(427\) | 15.5450 | + | 13.4698i | 0.752276 | + | 0.651851i | ||||
\(428\) | −9.83215 | − | 8.81072i | −0.475255 | − | 0.425882i | ||||
\(429\) | 3.10608 | − | 0.651485i | 0.149963 | − | 0.0314540i | ||||
\(430\) | 5.98923 | − | 3.20587i | 0.288826 | − | 0.154601i | ||||
\(431\) | −12.5112 | − | 27.3957i | −0.602643 | − | 1.31960i | −0.927494 | − | 0.373839i | \(-0.878041\pi\) |
0.324851 | − | 0.945765i | \(-0.394686\pi\) | |||||||
\(432\) | 8.33607 | − | 19.0397i | 0.401069 | − | 0.916048i | ||||
\(433\) | −11.8115 | + | 25.8636i | −0.567624 | + | 1.24292i | 0.380429 | + | 0.924810i | \(0.375777\pi\) |
−0.948053 | + | 0.318113i | \(0.896951\pi\) | |||||||
\(434\) | 14.1950 | + | 5.42963i | 0.681383 | + | 0.260631i | ||||
\(435\) | 6.09508 | + | 8.26980i | 0.292237 | + | 0.396507i | ||||
\(436\) | 22.2159 | + | 10.5966i | 1.06395 | + | 0.507485i | ||||
\(437\) | 15.4344 | − | 25.2096i | 0.738329 | − | 1.20594i | ||||
\(438\) | 8.12518 | + | 1.29943i | 0.388236 | + | 0.0620893i | ||||
\(439\) | −1.88020 | − | 2.92565i | −0.0897370 | − | 0.139634i | 0.793483 | − | 0.608593i | \(-0.208266\pi\) |
−0.883220 | + | 0.468959i | \(0.844629\pi\) | |||||||
\(440\) | −2.76207 | + | 2.62732i | −0.131677 | + | 0.125253i | ||||
\(441\) | −0.471446 | + | 1.52135i | −0.0224498 | + | 0.0724453i | ||||
\(442\) | 12.5426 | − | 0.792073i | 0.596589 | − | 0.0376751i | ||||
\(443\) | −9.42060 | − | 20.6282i | −0.447586 | − | 0.980077i | −0.990143 | − | 0.140058i | \(-0.955271\pi\) |
0.542557 | − | 0.840019i | \(-0.317456\pi\) | |||||||
\(444\) | −18.0900 | + | 6.25458i | −0.858512 | + | 0.296829i | ||||
\(445\) | −0.938808 | − | 6.52956i | −0.0445038 | − | 0.309531i | ||||
\(446\) | −11.3181 | − | 6.30314i | −0.535927 | − | 0.298462i | ||||
\(447\) | −0.221413 | + | 0.291225i | −0.0104725 | + | 0.0137745i | ||||
\(448\) | 19.2124 | + | 6.70108i | 0.907702 | + | 0.316596i | ||||
\(449\) | −0.151898 | + | 0.236358i | −0.00716852 | + | 0.0111544i | −0.844819 | − | 0.535052i | \(-0.820292\pi\) |
0.837651 | + | 0.546206i | \(0.183928\pi\) | |||||||
\(450\) | −12.3015 | − | 12.8868i | −0.579897 | − | 0.607492i | ||||
\(451\) | 2.86459 | − | 9.75591i | 0.134888 | − | 0.459388i | ||||
\(452\) | −7.00065 | − | 2.18294i | −0.329283 | − | 0.102677i | ||||
\(453\) | −13.4903 | − | 13.6928i | −0.633829 | − | 0.643345i | ||||
\(454\) | −31.4979 | + | 6.57755i | −1.47827 | + | 0.308700i | ||||
\(455\) | 2.65693 | − | 0.780144i | 0.124559 | − | 0.0365737i | ||||
\(456\) | −15.4919 | − | 25.9179i | −0.725475 | − | 1.21372i | ||||
\(457\) | 4.82992 | − | 33.5929i | 0.225934 | − | 1.57141i | −0.489043 | − | 0.872260i | \(-0.662654\pi\) |
0.714977 | − | 0.699148i | \(-0.246437\pi\) | |||||||
\(458\) | −7.48675 | − | 20.5953i | −0.349833 | − | 0.962354i | ||||
\(459\) | 37.2585 | − | 7.23687i | 1.73908 | − | 0.337788i | ||||
\(460\) | −5.58739 | + | 6.51581i | −0.260513 | + | 0.303801i | ||||
\(461\) | 14.0254i | 0.653227i | 0.945158 | + | 0.326614i | \(0.105908\pi\) | ||||
−0.945158 | + | 0.326614i | \(0.894092\pi\) | |||||||
\(462\) | 3.76269 | + | 8.59565i | 0.175056 | + | 0.399906i | ||||
\(463\) | 7.89428 | + | 1.13503i | 0.366878 | + | 0.0527491i | 0.323289 | − | 0.946300i | \(-0.395212\pi\) |
0.0435896 | + | 0.999050i | \(0.486121\pi\) | |||||||
\(464\) | 6.61742 | + | 25.6728i | 0.307206 | + | 1.19183i | ||||
\(465\) | 2.24286 | + | 6.15298i | 0.104010 | + | 0.285338i | ||||
\(466\) | −4.25517 | − | 20.3767i | −0.197117 | − | 0.943932i | ||||
\(467\) | −10.6309 | − | 12.2687i | −0.491937 | − | 0.567726i | 0.454445 | − | 0.890775i | \(-0.349838\pi\) |
−0.946382 | + | 0.323049i | \(0.895292\pi\) | |||||||
\(468\) | 1.26638 | − | 7.18896i | 0.0585386 | − | 0.332310i | ||||
\(469\) | 12.7846 | + | 3.75389i | 0.590337 | + | 0.173339i | ||||
\(470\) | 0.493139 | − | 0.362787i | 0.0227468 | − | 0.0167341i | ||||
\(471\) | 3.39989 | − | 6.11762i | 0.156659 | − | 0.281885i | ||||
\(472\) | −0.755926 | + | 0.260615i | −0.0347943 | + | 0.0119958i | ||||
\(473\) | 6.10979 | + | 5.29416i | 0.280928 | + | 0.243426i | ||||
\(474\) | −6.67626 | + | 14.0287i | −0.306651 | + | 0.644359i | ||||
\(475\) | −25.6183 | + | 3.68336i | −1.17545 | + | 0.169004i | ||||
\(476\) | 9.87266 | + | 35.8210i | 0.452512 | + | 1.64185i | ||||
\(477\) | −15.2226 | + | 9.46545i | −0.696996 | + | 0.433393i | ||||
\(478\) | −0.456009 | − | 7.22095i | −0.0208574 | − | 0.330278i | ||||
\(479\) | −15.9635 | + | 34.9552i | −0.729392 | + | 1.59715i | 0.0708636 | + | 0.997486i | \(0.477424\pi\) |
−0.800255 | + | 0.599659i | \(0.795303\pi\) | |||||||
\(480\) | 3.24640 | + | 8.14487i | 0.148177 | + | 0.371761i | ||||
\(481\) | −5.65516 | + | 3.63435i | −0.257853 | + | 0.165712i | ||||
\(482\) | −0.447829 | + | 1.97910i | −0.0203981 | + | 0.0901453i | ||||
\(483\) | 10.3908 | + | 18.3956i | 0.472796 | + | 0.837030i | ||||
\(484\) | 15.7622 | + | 7.51828i | 0.716462 | + | 0.341740i | ||||
\(485\) | 3.76486 | + | 5.85824i | 0.170954 | + | 0.266009i | ||||
\(486\) | 1.00469 | − | 22.0225i | 0.0455735 | − | 0.998961i | ||||
\(487\) | −10.0628 | − | 4.59553i | −0.455989 | − | 0.208243i | 0.174160 | − | 0.984717i | \(-0.444279\pi\) |
−0.630149 | + | 0.776474i | \(0.717006\pi\) | |||||||
\(488\) | −8.52674 | + | 21.2250i | −0.385987 | + | 0.960811i | ||||
\(489\) | −9.55062 | − | 17.8048i | −0.431894 | − | 0.805160i | ||||
\(490\) | −0.317079 | − | 0.592368i | −0.0143242 | − | 0.0267605i | ||||
\(491\) | 2.11883 | + | 14.7368i | 0.0956212 | + | 0.665060i | 0.980104 | + | 0.198487i | \(0.0636026\pi\) |
−0.884482 | + | 0.466574i | \(0.845488\pi\) | |||||||
\(492\) | −18.3785 | − | 14.4624i | −0.828567 | − | 0.652017i | ||||
\(493\) | −31.7041 | + | 36.5885i | −1.42788 | + | 1.64786i | ||||
\(494\) | −7.43584 | − | 7.56081i | −0.334554 | − | 0.340177i | ||||
\(495\) | −1.73427 | + | 3.65248i | −0.0779498 | + | 0.164167i | ||||
\(496\) | −0.563217 | + | 16.8915i | −0.0252892 | + | 0.758452i | ||||
\(497\) | −5.29378 | + | 18.0290i | −0.237459 | + | 0.808710i | ||||
\(498\) | 0.448449 | − | 28.4092i | 0.0200955 | − | 1.27305i | ||||
\(499\) | 8.61943 | − | 7.46878i | 0.385859 | − | 0.334348i | −0.440234 | − | 0.897883i | \(-0.645104\pi\) |
0.826092 | + | 0.563535i | \(0.190559\pi\) | |||||||
\(500\) | 16.4621 | + | 0.274373i | 0.736206 | + | 0.0122703i | ||||
\(501\) | −11.8826 | − | 32.5984i | −0.530878 | − | 1.45639i | ||||
\(502\) | 20.3226 | + | 15.4792i | 0.907042 | + | 0.690871i | ||||
\(503\) | 3.35735 | − | 23.3509i | 0.149697 | − | 1.04117i | −0.767019 | − | 0.641625i | \(-0.778261\pi\) |
0.916716 | − | 0.399541i | \(-0.130830\pi\) | |||||||
\(504\) | 21.5711 | − | 0.679694i | 0.960853 | − | 0.0302760i | ||||
\(505\) | −11.3948 | −0.507061 | ||||||||
\(506\) | −9.61802 | − | 3.44025i | −0.427573 | − | 0.152938i | ||||
\(507\) | 1.27509 | + | 19.9122i | 0.0566289 | + | 0.884332i | ||||
\(508\) | −5.29666 | − | 41.7693i | −0.235001 | − | 1.85321i | ||||
\(509\) | −3.51588 | − | 0.505508i | −0.155839 | − | 0.0224062i | 0.0639538 | − | 0.997953i | \(-0.479629\pi\) |
−0.219793 | + | 0.975547i | \(0.570538\pi\) | |||||||
\(510\) | −8.86786 | + | 13.3312i | −0.392675 | + | 0.590317i | ||||
\(511\) | 2.40713 | + | 8.19794i | 0.106485 | + | 0.362656i | ||||
\(512\) | −0.0813357 | + | 22.6273i | −0.00359456 | + | 0.999994i | ||||
\(513\) | −25.2032 | − | 19.7611i | −1.11275 | − | 0.872474i | ||||
\(514\) | 0.168245 | − | 2.10564i | 0.00742096 | − | 0.0928758i | ||||
\(515\) | −5.79106 | − | 1.70041i | −0.255185 | − | 0.0749290i | ||||
\(516\) | 16.5303 | − | 8.51534i | 0.727706 | − | 0.374867i | ||||
\(517\) | 0.612910 | + | 0.393893i | 0.0269557 | + | 0.0173234i | ||||
\(518\) | −13.9361 | − | 14.1703i | −0.612315 | − | 0.622606i | ||||
\(519\) | −15.4884 | + | 20.3719i | −0.679865 | + | 0.894226i | ||||
\(520\) | 1.78320 | + | 2.51052i | 0.0781985 | + | 0.110093i | ||||
\(521\) | −32.8173 | + | 4.71842i | −1.43775 | + | 0.206718i | −0.816705 | − | 0.577056i | \(-0.804202\pi\) |
−0.621047 | + | 0.783773i | \(0.713292\pi\) | |||||||
\(522\) | 16.3242 | + | 22.8968i | 0.714492 | + | 1.00217i | ||||
\(523\) | −6.44512 | + | 2.94339i | −0.281826 | + | 0.128705i | −0.551313 | − | 0.834298i | \(-0.685873\pi\) |
0.269487 | + | 0.963004i | \(0.413146\pi\) | |||||||
\(524\) | 39.3935 | + | 6.33568i | 1.72091 | + | 0.276775i | ||||
\(525\) | 6.59370 | − | 17.2840i | 0.287773 | − | 0.754334i | ||||
\(526\) | −35.6631 | − | 13.6412i | −1.55499 | − | 0.594786i | ||||
\(527\) | −25.9634 | + | 16.6857i | −1.13098 | + | 0.726839i | ||||
\(528\) | −7.67297 | + | 7.07133i | −0.333923 | + | 0.307740i | ||||
\(529\) | −22.3301 | − | 5.51071i | −0.970873 | − | 0.239596i | ||||
\(530\) | 1.66891 | − | 7.37542i | 0.0724927 | − | 0.320368i | ||||
\(531\) | −0.649152 | + | 0.545770i | −0.0281708 | + | 0.0236844i | ||||
\(532\) | 17.3880 | − | 26.0898i | 0.753863 | − | 1.13113i | ||||
\(533\) | −7.47124 | − | 3.41200i | −0.323615 | − | 0.147790i | ||||
\(534\) | −2.28731 | − | 17.9112i | −0.0989818 | − | 0.775093i | ||||
\(535\) | 5.37341 | − | 2.45395i | 0.232313 | − | 0.106094i | ||||
\(536\) | 0.687299 | + | 14.8013i | 0.0296868 | + | 0.639319i | ||||
\(537\) | 20.7506 | − | 4.35234i | 0.895455 | − | 0.187817i | ||||
\(538\) | 32.5350 | + | 18.1190i | 1.40268 | + | 0.781165i | ||||
\(539\) | 0.523622 | − | 0.604292i | 0.0225540 | − | 0.0260287i | ||||
\(540\) | 6.31448 | + | 6.82753i | 0.271732 | + | 0.293810i | ||||
\(541\) | −23.8046 | − | 15.2983i | −1.02344 | − | 0.657724i | −0.0826016 | − | 0.996583i | \(-0.526323\pi\) |
−0.940837 | + | 0.338858i | \(0.889959\pi\) | |||||||
\(542\) | 4.00102 | − | 2.94343i | 0.171859 | − | 0.126431i | ||||
\(543\) | −1.87656 | + | 8.32719i | −0.0805309 | + | 0.357354i | ||||
\(544\) | −34.0810 | + | 23.3629i | −1.46121 | + | 1.00167i | ||||
\(545\) | −8.32320 | + | 7.21209i | −0.356527 | + | 0.308932i | ||||
\(546\) | 7.30540 | − | 2.02038i | 0.312642 | − | 0.0864641i | ||||
\(547\) | 1.19561 | + | 4.07189i | 0.0511207 | + | 0.174101i | 0.981096 | − | 0.193520i | \(-0.0619904\pi\) |
−0.929976 | + | 0.367621i | \(0.880172\pi\) | |||||||
\(548\) | 24.4994 | + | 29.2447i | 1.04656 | + | 1.24927i | ||||
\(549\) | −0.361543 | + | 24.2585i | −0.0154303 | + | 1.03533i | ||||
\(550\) | 3.05566 | + | 8.40580i | 0.130294 | + | 0.358425i | ||||
\(551\) | 40.8517 | 1.74034 | ||||||||
\(552\) | −15.5735 | + | 17.5916i | −0.662853 | + | 0.748749i | ||||
\(553\) | −16.1322 | −0.686011 | ||||||||
\(554\) | −11.2539 | − | 30.9583i | −0.478133 | − | 1.31529i | ||||
\(555\) | 0.674608 | − | 8.53772i | 0.0286355 | − | 0.362406i | ||||
\(556\) | −15.6870 | − | 18.7254i | −0.665279 | − | 0.794136i | ||||
\(557\) | 5.26734 | + | 17.9389i | 0.223184 | + | 0.760096i | 0.992609 | + | 0.121358i | \(0.0387249\pi\) |
−0.769424 | + | 0.638738i | \(0.779457\pi\) | |||||||
\(558\) | 5.87262 | + | 16.9369i | 0.248608 | + | 0.716996i | ||||
\(559\) | 4.93545 | − | 4.27659i | 0.208747 | − | 0.180881i | ||||
\(560\) | −6.18804 | + | 6.67807i | −0.261492 | + | 0.282200i | ||||
\(561\) | −18.5882 | − | 4.18893i | −0.784796 | − | 0.176857i | ||||
\(562\) | −18.3396 | + | 13.4919i | −0.773609 | + | 0.569120i | ||||
\(563\) | 27.1735 | + | 17.4633i | 1.14523 | + | 0.735991i | 0.968683 | − | 0.248302i | \(-0.0798724\pi\) |
0.176542 | + | 0.984293i | \(0.443509\pi\) | |||||||
\(564\) | 1.36534 | − | 0.971600i | 0.0574911 | − | 0.0409118i | ||||
\(565\) | 2.14868 | − | 2.47971i | 0.0903957 | − | 0.104322i | ||||
\(566\) | −32.7525 | − | 18.2401i | −1.37669 | − | 0.766689i | ||||
\(567\) | 21.0965 | − | 8.88450i | 0.885969 | − | 0.373114i | ||||
\(568\) | −20.8730 | + | 0.969238i | −0.875811 | + | 0.0406683i | ||||
\(569\) | −0.615380 | + | 0.281035i | −0.0257981 | + | 0.0117816i | −0.428272 | − | 0.903650i | \(-0.640878\pi\) |
0.402474 | + | 0.915431i | \(0.368150\pi\) | |||||||
\(570\) | 13.4016 | − | 1.71143i | 0.561332 | − | 0.0716838i | ||||
\(571\) | 32.8804 | + | 15.0160i | 1.37600 | + | 0.628399i | 0.959752 | − | 0.280851i | \(-0.0906165\pi\) |
0.416251 | + | 0.909250i | \(0.363344\pi\) | |||||||
\(572\) | −2.03235 | + | 3.04944i | −0.0849769 | + | 0.127504i | ||||
\(573\) | 18.1379 | + | 24.6096i | 0.757724 | + | 1.02808i | ||||
\(574\) | 5.35939 | − | 23.6848i | 0.223697 | − | 0.988584i | ||||
\(575\) | 8.76365 | + | 18.1318i | 0.365470 | + | 0.756147i | ||||
\(576\) | 8.53315 | + | 22.4318i | 0.355548 | + | 0.934658i | ||||
\(577\) | −25.1184 | + | 16.1426i | −1.04569 | + | 0.672026i | −0.946388 | − | 0.323031i | \(-0.895298\pi\) |
−0.0993047 | + | 0.995057i | \(0.531662\pi\) | |||||||
\(578\) | −48.0197 | − | 18.3677i | −1.99736 | − | 0.763994i | ||||
\(579\) | −0.454631 | − | 0.173438i | −0.0188938 | − | 0.00720786i | ||||
\(580\) | −11.7120 | − | 1.88365i | −0.486315 | − | 0.0782144i | ||||
\(581\) | 26.8365 | − | 12.2558i | 1.11336 | − | 0.508456i | ||||
\(582\) | 10.0509 | + | 16.1960i | 0.416623 | + | 0.671344i | ||||
\(583\) | 8.90751 | − | 1.28071i | 0.368911 | − | 0.0530414i | ||||
\(584\) | −7.74619 | + | 5.50206i | −0.320540 | + | 0.227677i | ||||
\(585\) | 2.72105 | + | 1.80657i | 0.112502 | + | 0.0746925i | ||||
\(586\) | −3.13450 | − | 3.18718i | −0.129485 | − | 0.131661i | ||||
\(587\) | 12.8654 | + | 8.26810i | 0.531013 | + | 0.341261i | 0.778515 | − | 0.627626i | \(-0.215973\pi\) |
−0.247502 | + | 0.968887i | \(0.579610\pi\) | |||||||
\(588\) | −0.842215 | − | 1.63494i | −0.0347324 | − | 0.0674238i | ||||
\(589\) | 24.9874 | + | 7.33695i | 1.02959 | + | 0.302314i | ||||
\(590\) | 0.0284956 | − | 0.356633i | 0.00117315 | − | 0.0146823i | ||||
\(591\) | −26.0343 | − | 26.4252i | −1.07091 | − | 1.08699i | ||||
\(592\) | 9.84629 | − | 19.7874i | 0.404680 | − | 0.813255i | ||||
\(593\) | 4.46501 | + | 15.2064i | 0.183356 | + | 0.624453i | 0.998949 | + | 0.0458275i | \(0.0145925\pi\) |
−0.815593 | + | 0.578625i | \(0.803589\pi\) | |||||||
\(594\) | −4.90430 | + | 9.92149i | −0.201226 | + | 0.407084i | ||||
\(595\) | −16.4562 | − | 2.36604i | −0.674637 | − | 0.0969981i | ||||
\(596\) | −0.0531418 | − | 0.419075i | −0.00217677 | − | 0.0171660i | ||||
\(597\) | 11.8134 | − | 0.756483i | 0.483492 | − | 0.0309608i | ||||
\(598\) | −3.85643 | + | 7.29481i | −0.157701 | + | 0.298307i | ||||
\(599\) | −27.9464 | −1.14186 | −0.570929 | − | 0.821000i | \(-0.693417\pi\) | ||||
−0.570929 | + | 0.821000i | \(0.693417\pi\) | |||||||
\(600\) | 20.5609 | + | 0.667424i | 0.839395 | + | 0.0272475i | ||||
\(601\) | 2.97472 | − | 20.6896i | 0.121341 | − | 0.843948i | −0.834698 | − | 0.550709i | \(-0.814358\pi\) |
0.956039 | − | 0.293240i | \(-0.0947334\pi\) | |||||||
\(602\) | 15.3598 | + | 11.6992i | 0.626019 | + | 0.476823i | ||||
\(603\) | 6.31493 | + | 14.3915i | 0.257164 | + | 0.586069i | ||||
\(604\) | 22.1924 | + | 0.369881i | 0.902998 | + | 0.0150502i | ||||
\(605\) | −5.90530 | + | 5.11698i | −0.240085 | + | 0.208035i | ||||
\(606\) | −31.1862 | − | 0.492285i | −1.26685 | − | 0.0199977i | ||||
\(607\) | 5.93201 | − | 20.2026i | 0.240773 | − | 0.819997i | −0.747097 | − | 0.664715i | \(-0.768553\pi\) |
0.987870 | − | 0.155282i | \(-0.0496287\pi\) | |||||||
\(608\) | 33.7311 | + | 8.82393i | 1.36798 | + | 0.357858i | ||||
\(609\) | −14.1840 | + | 25.5221i | −0.574766 | + | 1.03421i | ||||
\(610\) | −7.17642 | − | 7.29703i | −0.290565 | − | 0.295448i | ||||
\(611\) | 0.385407 | − | 0.444783i | 0.0155919 | − | 0.0179940i | ||||
\(612\) | −24.8462 | + | 36.1029i | −1.00435 | + | 1.45937i | ||||
\(613\) | −1.52458 | − | 10.6037i | −0.0615772 | − | 0.428279i | −0.997169 | − | 0.0751948i | \(-0.976042\pi\) |
0.935592 | − | 0.353084i | \(-0.114867\pi\) | |||||||
\(614\) | 16.1677 | + | 30.2046i | 0.652475 | + | 1.21896i | ||||
\(615\) | 9.22124 | − | 4.94634i | 0.371836 | − | 0.199456i | ||||
\(616\) | −10.0538 | − | 4.03890i | −0.405077 | − | 0.162732i | ||||
\(617\) | −33.9727 | − | 15.5148i | −1.36769 | − | 0.624603i | −0.409915 | − | 0.912124i | \(-0.634442\pi\) |
−0.957774 | + | 0.287521i | \(0.907169\pi\) | |||||||
\(618\) | −15.7760 | − | 4.90401i | −0.634604 | − | 0.197268i | ||||
\(619\) | −3.57908 | − | 5.56916i | −0.143856 | − | 0.223844i | 0.761847 | − | 0.647757i | \(-0.224293\pi\) |
−0.905703 | + | 0.423913i | \(0.860656\pi\) | |||||||
\(620\) | −6.82547 | − | 3.25563i | −0.274118 | − | 0.130749i | ||||
\(621\) | −8.72096 | + | 23.3441i | −0.349960 | + | 0.936765i | ||||
\(622\) | 10.9291 | − | 48.2991i | 0.438218 | − | 1.93662i | ||||
\(623\) | 15.7728 | − | 10.1366i | 0.631926 | − | 0.406114i | ||||
\(624\) | 4.77195 | + | 6.94802i | 0.191031 | + | 0.278144i | ||||
\(625\) | 5.66174 | − | 12.3975i | 0.226470 | − | 0.495899i | ||||
\(626\) | 1.38661 | + | 21.9571i | 0.0554200 | + | 0.877582i | ||||
\(627\) | 7.60013 | + | 14.1686i | 0.303520 | + | 0.565839i | ||||
\(628\) | 2.14732 | + | 7.79113i | 0.0856874 | + | 0.310900i | ||||
\(629\) | 39.9493 | − | 5.74384i | 1.59288 | − | 0.229022i | ||||
\(630\) | −3.58393 | + | 8.96688i | −0.142787 | + | 0.357249i | ||||
\(631\) | −27.9037 | − | 24.1787i | −1.11083 | − | 0.962538i | −0.111317 | − | 0.993785i | \(-0.535507\pi\) |
−0.999512 | + | 0.0312466i | \(0.990052\pi\) | |||||||
\(632\) | −5.84721 | − | 16.9601i | −0.232589 | − | 0.674637i | ||||
\(633\) | 24.4018 | + | 13.5614i | 0.969883 | + | 0.539017i | ||||
\(634\) | 14.3390 | − | 10.5488i | 0.569475 | − | 0.418945i | ||||
\(635\) | 18.0759 | + | 5.30755i | 0.717318 | + | 0.210624i | ||||
\(636\) | 4.88624 | − | 20.1135i | 0.193752 | − | 0.797554i | ||||
\(637\) | −0.422979 | − | 0.488144i | −0.0167590 | − | 0.0193410i | ||||
\(638\) | −2.88577 | − | 13.8190i | −0.114249 | − | 0.547101i | ||||
\(639\) | −20.2951 | + | 8.90539i | −0.802863 | + | 0.352292i | ||||
\(640\) | −9.26369 | − | 4.08511i | −0.366179 | − | 0.161478i | ||||
\(641\) | −43.6092 | − | 6.27005i | −1.72246 | − | 0.247652i | −0.791083 | − | 0.611709i | \(-0.790482\pi\) |
−0.931377 | + | 0.364057i | \(0.881391\pi\) | |||||||
\(642\) | 14.8124 | − | 6.48403i | 0.584599 | − | 0.255904i | ||||
\(643\) | 42.1685i | 1.66296i | 0.555553 | + | 0.831481i | \(0.312506\pi\) | ||||
−0.555553 | + | 0.831481i | \(0.687494\pi\) | |||||||
\(644\) | −23.4428 | − | 6.75224i | −0.923775 | − | 0.266076i | ||||
\(645\) | 0.531690 | + | 8.30301i | 0.0209353 | + | 0.326931i | ||||
\(646\) | 21.7522 | + | 59.8380i | 0.855829 | + | 2.35429i | ||||
\(647\) | 2.84386 | − | 19.7795i | 0.111804 | − | 0.777612i | −0.854360 | − | 0.519682i | \(-0.826050\pi\) |
0.966164 | − | 0.257930i | \(-0.0830405\pi\) | |||||||
\(648\) | 16.9870 | + | 18.9589i | 0.667313 | + | 0.744778i | ||||
\(649\) | 0.408521 | − | 0.119953i | 0.0160358 | − | 0.00470855i | ||||
\(650\) | 7.07233 | − | 1.47688i | 0.277399 | − | 0.0579280i | ||||
\(651\) | −13.2596 | + | 13.0634i | −0.519684 | + | 0.511996i | ||||
\(652\) | 22.2726 | + | 6.94502i | 0.872260 | + | 0.271988i | ||||
\(653\) | 0.199242 | − | 0.678557i | 0.00779695 | − | 0.0265540i | −0.955503 | − | 0.294983i | \(-0.904686\pi\) |
0.963300 | + | 0.268429i | \(0.0865043\pi\) | |||||||
\(654\) | −23.0912 | + | 19.3791i | −0.902937 | + | 0.757781i | ||||
\(655\) | −9.65192 | + | 15.0187i | −0.377132 | + | 0.586829i | ||||
\(656\) | 26.8428 | − | 2.95025i | 1.04804 | − | 0.115188i | ||||
\(657\) | −5.57417 | + | 8.39579i | −0.217469 | + | 0.327551i | ||||
\(658\) | 1.52018 | + | 0.846603i | 0.0592630 | + | 0.0330040i | ||||
\(659\) | −1.83098 | − | 12.7347i | −0.0713247 | − | 0.496074i | −0.993902 | − | 0.110263i | \(-0.964831\pi\) |
0.922578 | − | 0.385811i | \(-0.126078\pi\) | |||||||
\(660\) | −1.52562 | − | 4.41251i | −0.0593847 | − | 0.171757i | ||||
\(661\) | −3.16875 | − | 6.93859i | −0.123250 | − | 0.269880i | 0.837942 | − | 0.545759i | \(-0.183758\pi\) |
−0.961192 | + | 0.275879i | \(0.911031\pi\) | |||||||
\(662\) | 17.7917 | − | 1.12356i | 0.691492 | − | 0.0436683i | ||||
\(663\) | −5.48627 | + | 14.3811i | −0.213069 | + | 0.558515i | ||||
\(664\) | 22.6118 | + | 23.7715i | 0.877508 | + | 0.922515i | ||||
\(665\) | 7.58446 | + | 11.8016i | 0.294113 | + | 0.457648i | ||||
\(666\) | 2.21517 | − | 23.3376i | 0.0858362 | − | 0.904313i | ||||
\(667\) | −9.61880 | − | 30.2964i | −0.372441 | − | 1.17308i | ||||
\(668\) | 36.1612 | + | 17.2483i | 1.39912 | + | 0.667356i | ||||
\(669\) | 12.7722 | − | 9.41348i | 0.493803 | − | 0.363946i | ||||
\(670\) | −6.19231 | − | 2.36857i | −0.239230 | − | 0.0915060i | ||||
\(671\) | 5.05969 | − | 11.0792i | 0.195327 | − | 0.427707i | ||||
\(672\) | −17.2244 | + | 18.0098i | −0.664447 | + | 0.694742i | ||||
\(673\) | 13.9697 | + | 30.5894i | 0.538493 | + | 1.17913i | 0.961952 | + | 0.273219i | \(0.0880885\pi\) |
−0.423459 | + | 0.905915i | \(0.639184\pi\) | |||||||
\(674\) | −8.53864 | + | 4.57050i | −0.328896 | + | 0.176049i | ||||
\(675\) | 20.6092 | − | 7.16631i | 0.793249 | − | 0.275831i | ||||
\(676\) | −17.1584 | − | 15.3759i | −0.659939 | − | 0.591380i | ||||
\(677\) | −7.55804 | − | 6.54908i | −0.290479 | − | 0.251702i | 0.497414 | − | 0.867513i | \(-0.334283\pi\) |
−0.787894 | + | 0.615811i | \(0.788828\pi\) | |||||||
\(678\) | 5.98782 | − | 6.69385i | 0.229961 | − | 0.257076i | ||||
\(679\) | −10.7005 | + | 16.6503i | −0.410649 | + | 0.638982i | ||||
\(680\) | −3.47716 | − | 18.1583i | −0.133343 | − | 0.696339i | ||||
\(681\) | 8.66369 | − | 38.4449i | 0.331993 | − | 1.47321i | ||||
\(682\) | 0.716788 | − | 8.97084i | 0.0274472 | − | 0.343511i | ||||
\(683\) | −2.01654 | − | 2.32721i | −0.0771607 | − | 0.0890482i | 0.715857 | − | 0.698247i | \(-0.246036\pi\) |
−0.793017 | + | 0.609199i | \(0.791491\pi\) | |||||||
\(684\) | 36.7526 | − | 4.10499i | 1.40527 | − | 0.156958i | ||||
\(685\) | −16.3787 | + | 4.80922i | −0.625797 | + | 0.183751i | ||||
\(686\) | 16.4136 | − | 21.5494i | 0.626675 | − | 0.822760i | ||||
\(687\) | 26.7555 | + | 2.11408i | 1.02079 | + | 0.0806573i | ||||
\(688\) | −6.73234 | + | 20.3885i | −0.256668 | + | 0.777305i | ||||
\(689\) | − | 7.26943i | − | 0.276943i | ||||||
\(690\) | −4.42472 | − | 9.53593i | −0.168446 | − | 0.363027i | ||||
\(691\) | − | 34.1984i | − | 1.30097i | −0.759519 | − | 0.650485i | \(-0.774566\pi\) | ||
0.759519 | − | 0.650485i | \(-0.225434\pi\) | |||||||
\(692\) | −3.71740 | − | 29.3153i | −0.141314 | − | 1.11440i | ||||
\(693\) | −11.4907 | − | 0.171254i | −0.436494 | − | 0.00650539i | ||||
\(694\) | 31.5764 | + | 24.0509i | 1.19862 | + | 0.912961i | ||||
\(695\) | 10.4873 | − | 3.07936i | 0.397807 | − | 0.116807i | ||||
\(696\) | −31.9730 | − | 5.66132i | −1.21193 | − | 0.214592i | ||||
\(697\) | 32.2931 | + | 37.2682i | 1.22319 | + | 1.41163i | ||||
\(698\) | −34.7186 | − | 2.77408i | −1.31412 | − | 0.105001i | ||||
\(699\) | 24.8709 | + | 5.60474i | 0.940703 | + | 0.211991i | ||||
\(700\) | 8.54855 | + | 19.5756i | 0.323105 | + | 0.739889i | ||||
\(701\) | 7.87469 | − | 12.2533i | 0.297423 | − | 0.462799i | −0.660091 | − | 0.751186i | \(-0.729482\pi\) |
0.957514 | + | 0.288386i | \(0.0931187\pi\) | |||||||
\(702\) | 7.36914 | + | 5.06192i | 0.278130 | + | 0.191050i | ||||
\(703\) | −25.7379 | − | 22.3021i | −0.970725 | − | 0.841138i | ||||
\(704\) | 0.602139 | − | 12.0336i | 0.0226940 | − | 0.453535i | ||||
\(705\) | 0.153918 | + | 0.733833i | 0.00579688 | + | 0.0276377i | ||||
\(706\) | 4.77728 | + | 8.92494i | 0.179795 | + | 0.335895i | ||||
\(707\) | −13.4538 | − | 29.4597i | −0.505982 | − | 1.10795i | ||||
\(708\) | 0.0933966 | − | 0.974830i | 0.00351006 | − | 0.0366364i | ||||
\(709\) | 2.69486 | − | 5.90093i | 0.101208 | − | 0.221614i | −0.852254 | − | 0.523128i | \(-0.824765\pi\) |
0.953462 | + | 0.301514i | \(0.0974921\pi\) | |||||||
\(710\) | 3.34019 | − | 8.73247i | 0.125355 | − | 0.327724i | ||||
\(711\) | −12.2450 | − | 14.5645i | −0.459224 | − | 0.546211i | ||||
\(712\) | 16.3738 | + | 12.9083i | 0.613633 | + | 0.483757i | ||||
\(713\) | −0.442210 | − | 20.2587i | −0.0165609 | − | 0.758693i | ||||
\(714\) | −44.9364 | − | 7.18652i | −1.68170 | − | 0.268949i | ||||
\(715\) | −0.886493 | − | 1.37941i | −0.0331529 | − | 0.0515870i | ||||
\(716\) | −13.5774 | + | 20.3722i | −0.507412 | + | 0.761346i | ||||
\(717\) | 8.27941 | + | 3.15853i | 0.309200 | + | 0.117958i | ||||
\(718\) | −1.47458 | − | 23.3501i | −0.0550309 | − | 0.871419i | ||||
\(719\) | 12.0750 | + | 26.4406i | 0.450323 | + | 0.986070i | 0.989587 | + | 0.143933i | \(0.0459750\pi\) |
−0.539265 | + | 0.842136i | \(0.681298\pi\) | |||||||
\(720\) | −10.7261 | − | 0.517758i | −0.399738 | − | 0.0192957i | ||||
\(721\) | −2.44131 | − | 16.9797i | −0.0909191 | − | 0.632357i | ||||
\(722\) | 13.0659 | − | 23.4615i | 0.486263 | − | 0.873147i | ||||
\(723\) | −1.97833 | − | 1.50409i | −0.0735748 | − | 0.0559376i | ||||
\(724\) | −5.18993 | − | 8.37950i | −0.192882 | − | 0.311422i | ||||
\(725\) | −15.0472 | + | 23.4139i | −0.558839 | + | 0.869571i | ||||
\(726\) | −16.3832 | + | 13.7494i | −0.608037 | + | 0.510289i | ||||
\(727\) | −6.61631 | + | 22.5331i | −0.245385 | + | 0.835706i | 0.741035 | + | 0.671466i | \(0.234335\pi\) |
−0.986421 | + | 0.164239i | \(0.947483\pi\) | |||||||
\(728\) | −4.38518 | + | 7.57438i | −0.162526 | + | 0.280725i | ||||
\(729\) | 24.0342 | + | 12.3027i | 0.890157 | + | 0.455654i | ||||
\(730\) | −0.869033 | − | 4.16153i | −0.0321643 | − | 0.154025i | ||||
\(731\) | −37.6205 | + | 11.0464i | −1.39144 | + | 0.408565i | ||||
\(732\) | −19.3258 | − | 20.2811i | −0.714301 | − | 0.749612i | ||||
\(733\) | −3.65831 | + | 25.4441i | −0.135123 | + | 0.939800i | 0.803610 | + | 0.595156i | \(0.202910\pi\) |
−0.938733 | + | 0.344644i | \(0.887999\pi\) | |||||||
\(734\) | −0.0376621 | + | 0.0136909i | −0.00139013 | + | 0.000505339i | ||||
\(735\) | 0.821215 | − | 0.0525872i | 0.0302910 | − | 0.00193971i | ||||
\(736\) | −1.39820 | − | 27.0933i | −0.0515382 | − | 0.998671i | ||||
\(737\) | − | 7.88992i | − | 0.290629i | ||||||
\(738\) | 25.4511 | − | 13.1392i | 0.936869 | − | 0.483659i | ||||
\(739\) | −24.0773 | − | 3.46180i | −0.885699 | − | 0.127344i | −0.315572 | − | 0.948901i | \(-0.602197\pi\) |
−0.570126 | + | 0.821557i | \(0.693106\pi\) | |||||||
\(740\) | 6.35063 | + | 7.58067i | 0.233454 | + | 0.278671i | ||||
\(741\) | 12.2025 | − | 4.44802i | 0.448271 | − | 0.163402i | ||||
\(742\) | 21.0386 | − | 4.39340i | 0.772352 | − | 0.161287i | ||||
\(743\) | −16.4886 | − | 19.0288i | −0.604907 | − | 0.698100i | 0.367861 | − | 0.929881i | \(-0.380090\pi\) |
−0.972768 | + | 0.231781i | \(0.925545\pi\) | |||||||
\(744\) | −18.5399 | − | 9.20515i | −0.679704 | − | 0.337477i | ||||
\(745\) | 0.181356 | + | 0.0532511i | 0.00664439 | + | 0.00195097i | ||||
\(746\) | 14.1831 | + | 19.2793i | 0.519282 | + | 0.705864i | ||||
\(747\) | 31.4348 | + | 14.9259i | 1.15014 | + | 0.546109i | ||||
\(748\) | 18.7050 | − | 11.5851i | 0.683923 | − | 0.423595i | ||||
\(749\) | 12.6887 | + | 10.9948i | 0.463636 | + | 0.401743i | ||||
\(750\) | −8.66516 | + | 18.2079i | −0.316407 | + | 0.664859i | ||||
\(751\) | 10.2521 | − | 1.47403i | 0.374105 | − | 0.0537881i | 0.0473018 | − | 0.998881i | \(-0.484938\pi\) |
0.326803 | + | 0.945093i | \(0.394029\pi\) | |||||||
\(752\) | −0.339052 | + | 1.90506i | −0.0123640 | + | 0.0694703i | ||||
\(753\) | −27.5715 | + | 14.7896i | −1.00476 | + | 0.538962i | ||||
\(754\) | −11.3811 | + | 0.718725i | −0.414474 | + | 0.0261744i | ||||
\(755\) | −4.12556 | + | 9.03372i | −0.150145 | + | 0.328771i | ||||
\(756\) | −10.1962 | + | 24.3865i | −0.370831 | + | 0.886927i | ||||
\(757\) | −17.4925 | + | 11.2418i | −0.635776 | + | 0.408589i | −0.818444 | − | 0.574586i | \(-0.805163\pi\) |
0.182668 | + | 0.983175i | \(0.441527\pi\) | |||||||
\(758\) | −24.7826 | − | 5.60779i | −0.900143 | − | 0.203684i | ||||
\(759\) | 8.71820 | − | 8.97249i | 0.316451 | − | 0.325681i | ||||
\(760\) | −9.65829 | + | 12.2513i | −0.350343 | + | 0.444400i | ||||
\(761\) | 20.0730 | + | 31.2342i | 0.727646 | + | 1.13224i | 0.986090 | + | 0.166213i | \(0.0531540\pi\) |
−0.258444 | + | 0.966026i | \(0.583210\pi\) | |||||||
\(762\) | 49.2422 | + | 15.3071i | 1.78386 | + | 0.554516i | ||||
\(763\) | −28.4731 | − | 13.0032i | −1.03079 | − | 0.470748i | ||||
\(764\) | −34.8530 | − | 5.60544i | −1.26094 | − | 0.202798i | ||||
\(765\) | −10.3548 | − | 16.6529i | −0.374379 | − | 0.602087i | ||||
\(766\) | 6.61164 | − | 3.53903i | 0.238888 | − | 0.127870i | ||||
\(767\) | −0.0489467 | − | 0.340432i | −0.00176736 | − | 0.0122923i | ||||
\(768\) | −25.1771 | − | 11.5807i | −0.908502 | − | 0.417881i | ||||
\(769\) | 26.3502 | − | 30.4098i | 0.950214 | − | 1.09660i | −0.0450103 | − | 0.998987i | \(-0.514332\pi\) |
0.995224 | − | 0.0976185i | \(-0.0311225\pi\) | |||||||
\(770\) | 3.45642 | − | 3.39929i | 0.124561 | − | 0.122502i | ||||
\(771\) | 2.26133 | + | 1.25675i | 0.0814399 | + | 0.0452606i | ||||
\(772\) | 0.514911 | − | 0.224858i | 0.0185320 | − | 0.00809283i | ||||
\(773\) | 7.98788 | − | 27.2042i | 0.287304 | − | 0.978468i | −0.681743 | − | 0.731592i | \(-0.738778\pi\) |
0.969047 | − | 0.246876i | \(-0.0794041\pi\) | |||||||
\(774\) | 1.09646 | + | 22.7473i | 0.0394115 | + | 0.817636i | ||||
\(775\) | −13.4089 | + | 11.6189i | −0.481662 | + | 0.417363i | ||||
\(776\) | −21.3833 | − | 5.21468i | −0.767617 | − | 0.187196i | ||||
\(777\) | 22.8696 | − | 8.33635i | 0.820444 | − | 0.299065i | ||||
\(778\) | −6.39406 | + | 8.39474i | −0.229238 | + | 0.300966i | ||||
\(779\) | 5.92181 | − | 41.1871i | 0.212171 | − | 1.47568i | ||||
\(780\) | −3.70351 | + | 0.712576i | −0.132607 | + | 0.0255143i | ||||
\(781\) | 11.1265 | 0.398136 | ||||||||
\(782\) | 39.2553 | − | 30.2211i | 1.40377 | − | 1.08070i | ||||
\(783\) | −33.8082 | + | 6.56671i | −1.20821 | + | 0.234675i | ||||
\(784\) | 2.01654 | + | 0.665867i | 0.0720193 | + | 0.0237810i | ||||
\(785\) | −3.57924 | − | 0.514617i | −0.127749 | − | 0.0183675i | ||||
\(786\) | −27.0650 | + | 40.6874i | −0.965377 | + | 1.45127i | ||||
\(787\) | 2.30422 | + | 7.84746i | 0.0821367 | + | 0.279732i | 0.990312 | − | 0.138857i | \(-0.0443429\pi\) |
−0.908176 | + | 0.418589i | \(0.862525\pi\) | |||||||
\(788\) | 42.8282 | + | 0.713817i | 1.52569 | + | 0.0254287i | ||||
\(789\) | 33.3129 | − | 32.8202i | 1.18597 | − | 1.16843i | ||||
\(790\) | 8.00148 | + | 0.639334i | 0.284680 | + | 0.0227465i | ||||
\(791\) | 8.94790 | + | 2.62734i | 0.318151 | + | 0.0934175i | ||||
\(792\) | −3.98481 | − | 12.1424i | −0.141594 | − | 0.431463i | ||||
\(793\) | −8.27693 | − | 5.31926i | −0.293922 | − | 0.188892i | ||||
\(794\) | 9.60739 | − | 9.44860i | 0.340954 | − | 0.335318i | ||||
\(795\) | 7.37255 | + | 5.60523i | 0.261477 | + | 0.198797i | ||||
\(796\) | −9.12215 | + | 10.1797i | −0.323326 | + | 0.360809i | ||||
\(797\) | −16.5836 | + | 2.38435i | −0.587420 | + | 0.0844582i | −0.429615 | − | 0.903012i | \(-0.641351\pi\) |
−0.157805 | + | 0.987470i | \(0.550442\pi\) | |||||||
\(798\) | 20.2479 | + | 32.6274i | 0.716768 | + | 1.15500i | ||||
\(799\) | −3.21418 | + | 1.46787i | −0.113709 | + | 0.0519294i | ||||
\(800\) | −17.4818 | + | 16.0826i | −0.618074 | + | 0.568604i | ||||
\(801\) | 21.1238 | + | 6.54597i | 0.746372 | + | 0.231290i | ||||
\(802\) | 7.46607 | − | 19.5190i | 0.263636 | − | 0.689241i | ||||
\(803\) | 4.25616 | − | 2.73527i | 0.150197 | − | 0.0965256i | ||||
\(804\) | −16.8453 | − | 6.75003i | −0.594088 | − | 0.238055i | ||||
\(805\) | 6.96652 | − | 8.40356i | 0.245538 | − | 0.296186i | ||||
\(806\) | −7.09043 | − | 1.60442i | −0.249750 | − | 0.0565133i | ||||
\(807\) | −36.7150 | + | 27.0600i | −1.29243 | + | 0.952557i | ||||
\(808\) | 26.0952 | − | 24.8221i | 0.918025 | − | 0.873238i | ||||
\(809\) | −20.8546 | − | 9.52397i | −0.733208 | − | 0.334845i | 0.0135793 | − | 0.999908i | \(-0.495677\pi\) |
−0.746787 | + | 0.665063i | \(0.768405\pi\) | |||||||
\(810\) | −10.8158 | + | 3.57059i | −0.380030 | + | 0.125458i | ||||
\(811\) | 10.3706 | − | 4.73609i | 0.364160 | − | 0.166306i | −0.224927 | − | 0.974376i | \(-0.572214\pi\) |
0.589088 | + | 0.808069i | \(0.299487\pi\) | |||||||
\(812\) | −8.95841 | − | 32.5039i | −0.314379 | − | 1.14066i | ||||
\(813\) | 1.24879 | + | 5.95386i | 0.0437971 | + | 0.208811i | ||||
\(814\) | −5.72606 | + | 10.2819i | −0.200698 | + | 0.360380i | ||||
\(815\) | −6.83602 | + | 7.88919i | −0.239455 | + | 0.276346i | ||||
\(816\) | −8.73210 | − | 49.8473i | −0.305685 | − | 1.74501i | ||||
\(817\) | 27.8326 | + | 17.8869i | 0.973739 | + | 0.625784i | ||||
\(818\) | −14.1482 | − | 19.2318i | −0.494682 | − | 0.672425i | ||||
\(819\) | −1.45791 | + | 9.16792i | −0.0509434 | + | 0.320353i | ||||
\(820\) | −3.59688 | + | 11.5351i | −0.125608 | + | 0.402824i | ||||
\(821\) | 35.6784 | − | 30.9155i | 1.24518 | − | 1.07896i | 0.251371 | − | 0.967891i | \(-0.419119\pi\) |
0.993813 | − | 0.111067i | \(-0.0354267\pi\) | |||||||
\(822\) | −45.0343 | + | 12.4547i | −1.57075 | + | 0.434406i | ||||
\(823\) | 3.77705 | + | 12.8635i | 0.131660 | + | 0.448392i | 0.998762 | − | 0.0497377i | \(-0.0158385\pi\) |
−0.867103 | + | 0.498130i | \(0.834020\pi\) | |||||||
\(824\) | 16.9662 | − | 8.72098i | 0.591047 | − | 0.303810i | ||||
\(825\) | −10.9200 | − | 0.862847i | −0.380187 | − | 0.0300405i | ||||
\(826\) | 0.955670 | − | 0.347403i | 0.0332520 | − | 0.0120877i | ||||
\(827\) | 32.8908 | 1.14373 | 0.571863 | − | 0.820349i | \(-0.306221\pi\) | ||||
0.571863 | + | 0.820349i | \(0.306221\pi\) | |||||||
\(828\) | −11.6980 | − | 26.2899i | −0.406533 | − | 0.913636i | ||||
\(829\) | 23.5541 | 0.818066 | 0.409033 | − | 0.912520i | \(-0.365866\pi\) | ||||
0.409033 | + | 0.912520i | \(0.365866\pi\) | |||||||
\(830\) | −13.7964 | + | 5.01526i | −0.478882 | + | 0.174082i | ||||
\(831\) | 40.2182 | + | 3.17784i | 1.39515 | + | 0.110238i | ||||
\(832\) | −9.55254 | − | 1.86485i | −0.331175 | − | 0.0646522i | ||||
\(833\) | 1.09255 | + | 3.72088i | 0.0378546 | + | 0.128921i | ||||
\(834\) | 28.8356 | − | 7.97475i | 0.998495 | − | 0.276143i | ||||
\(835\) | −13.5478 | + | 11.7393i | −0.468842 | + | 0.406254i | ||||
\(836\) | −17.7239 | − | 5.52666i | −0.612994 | − | 0.191144i | ||||
\(837\) | −21.8585 | − | 2.05534i | −0.755541 | − | 0.0710431i | ||||
\(838\) | −6.33015 | − | 8.60462i | −0.218671 | − | 0.297242i | ||||
\(839\) | −10.5978 | − | 6.81077i | −0.365875 | − | 0.235134i | 0.344765 | − | 0.938689i | \(-0.387958\pi\) |
−0.710641 | + | 0.703555i | \(0.751595\pi\) | |||||||
\(840\) | −4.30056 | − | 10.2878i | −0.148383 | − | 0.354961i | ||||
\(841\) | 9.77721 | − | 11.2835i | 0.337145 | − | 0.389086i | ||||
\(842\) | −10.6957 | + | 19.2055i | −0.368599 | + | 0.661866i | ||||
\(843\) | −5.72413 | − | 27.2909i | −0.197150 | − | 0.939948i | ||||
\(844\) | −31.0770 | + | 8.56516i | −1.06972 | + | 0.294825i | ||||
\(845\) | 9.37732 | − | 4.28248i | 0.322589 | − | 0.147322i | ||||
\(846\) | 0.389552 | + | 2.01506i | 0.0133931 | + | 0.0692793i | ||||
\(847\) | −20.2016 | − | 9.22577i | −0.694136 | − | 0.317001i | ||||
\(848\) | 12.2444 | + | 20.5259i | 0.420476 | + | 0.704864i | ||||
\(849\) | 36.9604 | − | 27.2409i | 1.26848 | − | 0.934904i | ||||
\(850\) | −42.3079 | − | 9.57343i | −1.45115 | − | 0.328366i | ||||
\(851\) | −10.4795 | + | 24.3389i | −0.359232 | + | 0.834328i | ||||
\(852\) | 9.51897 | − | 23.7554i | 0.326115 | − | 0.813848i | ||||
\(853\) | 41.5108 | − | 26.6774i | 1.42130 | − | 0.913415i | 0.421323 | − | 0.906911i | \(-0.361566\pi\) |
0.999979 | − | 0.00650434i | \(-0.00207041\pi\) | |||||||
\(854\) | 10.3923 | − | 27.1692i | 0.355617 | − | 0.929712i | ||||
\(855\) | −4.89786 | + | 15.8054i | −0.167503 | + | 0.540532i | ||||
\(856\) | −6.96001 | + | 17.3251i | −0.237888 | + | 0.592159i | ||||
\(857\) | 19.3900 | − | 8.85510i | 0.662348 | − | 0.302484i | −0.0557308 | − | 0.998446i | \(-0.517749\pi\) |
0.718079 | + | 0.695961i | \(0.245022\pi\) | |||||||
\(858\) | −2.36663 | − | 3.81358i | −0.0807955 | − | 0.130193i | ||||
\(859\) | 26.4229 | − | 3.79904i | 0.901538 | − | 0.129622i | 0.324068 | − | 0.946034i | \(-0.394949\pi\) |
0.577470 | + | 0.816412i | \(0.304040\pi\) | |||||||
\(860\) | −7.15473 | − | 6.41145i | −0.243974 | − | 0.218629i | ||||
\(861\) | 23.6756 | + | 18.0001i | 0.806862 | + | 0.613443i | ||||
\(862\) | −30.3672 | + | 29.8653i | −1.03431 | + | 1.01722i | ||||
\(863\) | 10.9390 | + | 7.03006i | 0.372368 | + | 0.239306i | 0.713418 | − | 0.700739i | \(-0.247146\pi\) |
−0.341050 | + | 0.940045i | \(0.610783\pi\) | |||||||
\(864\) | −29.3337 | − | 1.88044i | −0.997952 | − | 0.0639738i | ||||
\(865\) | 12.6863 | + | 3.72504i | 0.431348 | + | 0.126655i | ||||
\(866\) | 40.0826 | + | 3.20268i | 1.36206 | + | 0.108831i | ||||
\(867\) | 44.8552 | − | 44.1917i | 1.52336 | − | 1.50083i | ||||
\(868\) | 0.358177 | − | 21.4903i | 0.0121573 | − | 0.729427i | ||||
\(869\) | 2.69128 | + | 9.16566i | 0.0912954 | + | 0.310924i | ||||
\(870\) | 8.04667 | − | 12.0967i | 0.272808 | − | 0.410117i | ||||
\(871\) | −6.30856 | − | 0.907034i | −0.213757 | − | 0.0307337i | ||||
\(872\) | 3.35033 | − | 34.6474i | 0.113456 | − | 1.17331i | ||||
\(873\) | −23.1544 | + | 2.97764i | −0.783659 | + | 0.100778i | ||||
\(874\) | −40.9638 | − | 8.33396i | −1.38562 | − | 0.281900i | ||||
\(875\) | −20.9381 | −0.707836 | ||||||||
\(876\) | −2.19865 | − | 11.4272i | −0.0742855 | − | 0.386088i | ||||
\(877\) | 6.58241 | − | 45.7817i | 0.222272 | − | 1.54594i | −0.507140 | − | 0.861864i | \(-0.669297\pi\) |
0.729412 | − | 0.684074i | \(-0.239794\pi\) | |||||||
\(878\) | −2.98010 | + | 3.91256i | −0.100573 | + | 0.132043i | ||||
\(879\) | 5.14385 | − | 1.87502i | 0.173498 | − | 0.0632427i | ||||
\(880\) | 4.82654 | + | 2.40171i | 0.162703 | + | 0.0809617i | ||||
\(881\) | −6.99947 | + | 6.06508i | −0.235818 | + | 0.204338i | −0.764751 | − | 0.644326i | \(-0.777138\pi\) |
0.528933 | + | 0.848664i | \(0.322592\pi\) | |||||||
\(882\) | 2.24984 | − | 0.108446i | 0.0757560 | − | 0.00365157i | ||||
\(883\) | −4.42183 | + | 15.0594i | −0.148806 | + | 0.506788i | −0.999832 | − | 0.0183366i | \(-0.994163\pi\) |
0.851026 | + | 0.525124i | \(0.175981\pi\) | |||||||
\(884\) | −7.11281 | − | 16.2879i | −0.239230 | − | 0.547820i | ||||
\(885\) | 0.383002 | + | 0.212855i | 0.0128745 | + | 0.00715505i | ||||
\(886\) | −22.8657 | + | 22.4878i | −0.768190 | + | 0.755493i | ||||
\(887\) | 7.37544 | − | 8.51171i | 0.247643 | − | 0.285795i | −0.618295 | − | 0.785946i | \(-0.712176\pi\) |
0.865939 | + | 0.500150i | \(0.166722\pi\) | |||||||
\(888\) | 17.0534 | + | 21.0218i | 0.572275 | + | 0.705444i | ||||
\(889\) | 7.62015 | + | 52.9993i | 0.255572 | + | 1.77754i | ||||
\(890\) | −8.22496 | + | 4.40260i | −0.275701 | + | 0.147575i | ||||
\(891\) | −8.56727 | − | 10.5040i | −0.287014 | − | 0.351897i | ||||
\(892\) | −2.90919 | + | 18.0885i | −0.0974068 | + | 0.605648i | ||||
\(893\) | 2.71215 | + | 1.23860i | 0.0907587 | + | 0.0414481i | ||||
\(894\) | 0.494051 | + | 0.153577i | 0.0165235 | + | 0.00513638i | ||||
\(895\) | −5.92234 | − | 9.21534i | −0.197962 | − | 0.308035i | ||||
\(896\) | −0.376113 | − | 28.7733i | −0.0125650 | − | 0.961248i | ||||
\(897\) | −6.17190 | − | 8.00231i | −0.206074 | − | 0.267189i | ||||
\(898\) | 0.387539 | + | 0.0876922i | 0.0129323 | + | 0.00292633i | ||||
\(899\) | 23.5591 | − | 15.1405i | 0.785740 | − | 0.504964i | ||||
\(900\) | −11.1846 | + | 22.5765i | −0.372819 | + | 0.752551i | ||||
\(901\) | −18.1308 | + | 39.7008i | −0.604023 | + | 1.32263i | ||||
\(902\) | −14.3508 | + | 0.906267i | −0.477830 | + | 0.0301754i | ||||
\(903\) | −20.8385 | + | 11.1779i | −0.693463 | + | 0.371979i | ||||
\(904\) | 0.481039 | + | 10.3594i | 0.0159991 | + | 0.344549i | ||||
\(905\) | 4.36533 | − | 0.627639i | 0.145108 | − | 0.0208634i | ||||
\(906\) | −11.6815 | + | 24.5460i | −0.388090 | + | 0.815486i | ||||
\(907\) | 27.8499 | + | 24.1321i | 0.924740 | + | 0.801292i | 0.980371 | − | 0.197160i | \(-0.0631718\pi\) |
−0.0556316 | + | 0.998451i | \(0.517717\pi\) | |||||||
\(908\) | 23.9608 | + | 38.6864i | 0.795168 | + | 1.28385i | ||||
\(909\) | 16.3849 | − | 34.5075i | 0.543451 | − | 1.14454i | ||||
\(910\) | −2.32062 | − | 3.15444i | −0.0769279 | − | 0.104569i | ||||
\(911\) | 12.7033 | + | 3.73003i | 0.420880 | + | 0.123582i | 0.485313 | − | 0.874340i | \(-0.338706\pi\) |
−0.0644329 | + | 0.997922i | \(0.520524\pi\) | |||||||
\(912\) | −26.9629 | + | 33.1130i | −0.892830 | + | 1.09648i | ||||
\(913\) | −11.4403 | − | 13.2028i | −0.378618 | − | 0.436949i | ||||
\(914\) | −46.9825 | + | 9.81114i | −1.55404 | + | 0.324524i | ||||
\(915\) | 11.7768 | − | 4.29283i | 0.389329 | − | 0.141917i | ||||
\(916\) | −23.7563 | + | 19.9016i | −0.784930 | + | 0.657567i | ||||
\(917\) | −50.2248 | − | 7.22123i | −1.65857 | − | 0.238466i | ||||
\(918\) | −27.6204 | − | 46.0244i | −0.911609 | − | 1.51903i | ||||
\(919\) | − | 52.5903i | − | 1.73479i | −0.497617 | − | 0.867397i | \(-0.665792\pi\) | ||
0.497617 | − | 0.867397i | \(-0.334208\pi\) | |||||||
\(920\) | 11.3599 | + | 4.27813i | 0.374524 | + | 0.141046i | ||||
\(921\) | −41.8733 | + | 2.68139i | −1.37977 | + | 0.0883549i | ||||
\(922\) | 18.6414 | − | 6.77648i | 0.613922 | − | 0.223172i | ||||
\(923\) | 1.27911 | − | 8.89641i | 0.0421025 | − | 0.292829i | ||||
\(924\) | 9.60666 | − | 9.15412i | 0.316036 | − | 0.301149i | ||||
\(925\) | 22.2625 | − | 6.53687i | 0.731987 | − | 0.214931i | ||||
\(926\) | −2.30560 | − | 11.0408i | −0.0757669 | − | 0.362824i | ||||
\(927\) | 13.4766 | − | 15.0924i | 0.442629 | − | 0.495698i | ||||
\(928\) | 30.9250 | − | 21.1994i | 1.01516 | − | 0.695904i | ||||
\(929\) | −8.54254 | + | 29.0932i | −0.280272 | + | 0.954518i | 0.692241 | + | 0.721667i | \(0.256624\pi\) |
−0.972512 | + | 0.232851i | \(0.925195\pi\) | |||||||
\(930\) | 7.09439 | − | 5.95390i | 0.232634 | − | 0.195236i | ||||
\(931\) | 1.76912 | − | 2.75280i | 0.0579805 | − | 0.0902194i | ||||
\(932\) | −25.0271 | + | 15.5008i | −0.819791 | + | 0.507746i | ||||
\(933\) | 48.2804 | + | 36.7067i | 1.58063 | + | 1.20173i | ||||
\(934\) | −11.1701 | + | 20.0574i | −0.365498 | + | 0.656298i | ||||
\(935\) | 1.40104 | + | 9.74444i | 0.0458189 | + | 0.318677i | ||||
\(936\) | −10.1668 | + | 1.79023i | −0.332314 | + | 0.0585157i | ||||
\(937\) | −15.4701 | − | 33.8748i | −0.505386 | − | 1.10664i | −0.974681 | − | 0.223600i | \(-0.928219\pi\) |
0.469295 | − | 0.883042i | \(-0.344508\pi\) | |||||||
\(938\) | −1.18761 | − | 18.8059i | −0.0387769 | − | 0.614036i | ||||
\(939\) | −25.1756 | − | 9.60431i | −0.821575 | − | 0.313425i | ||||
\(940\) | −0.720452 | − | 0.480157i | −0.0234985 | − | 0.0156610i | ||||
\(941\) | −7.55222 | − | 11.7515i | −0.246195 | − | 0.383087i | 0.696060 | − | 0.717984i | \(-0.254935\pi\) |
−0.942255 | + | 0.334897i | \(0.891299\pi\) | |||||||
\(942\) | −9.77373 | − | 1.56308i | −0.318445 | − | 0.0509279i | ||||
\(943\) | −31.9395 | + | 5.30604i | −1.04009 | + | 0.172788i | ||||
\(944\) | 0.711620 | + | 0.878798i | 0.0231613 | + | 0.0286024i | ||||
\(945\) | −8.17383 | − | 8.54768i | −0.265895 | − | 0.278056i | ||||
\(946\) | 4.08457 | − | 10.6786i | 0.132801 | − | 0.347190i | ||||
\(947\) | 10.3291 | − | 22.6176i | 0.335651 | − | 0.734973i | −0.664271 | − | 0.747492i | \(-0.731258\pi\) |
0.999922 | + | 0.0125191i | \(0.00398507\pi\) | |||||||
\(948\) | 21.8715 | + | 2.09547i | 0.710353 | + | 0.0680576i | ||||
\(949\) | −1.69775 | − | 3.71756i | −0.0551114 | − | 0.120677i | ||||
\(950\) | 17.2733 | + | 32.2702i | 0.560421 | + | 1.04698i | ||||
\(951\) | 4.47548 | + | 21.3377i | 0.145127 | + | 0.691922i | ||||
\(952\) | 42.8403 | − | 30.4292i | 1.38846 | − | 0.986215i | ||||
\(953\) | −27.8415 | − | 24.1248i | −0.901876 | − | 0.781480i | 0.0745762 | − | 0.997215i | \(-0.476240\pi\) |
−0.976452 | + | 0.215736i | \(0.930785\pi\) | |||||||
\(954\) | 19.9356 | + | 15.6594i | 0.645440 | + | 0.506990i | ||||
\(955\) | 8.53946 | − | 13.2877i | 0.276330 | − | 0.429978i | ||||
\(956\) | −9.37717 | + | 4.09495i | −0.303279 | + | 0.132440i | ||||
\(957\) | 16.8669 | + | 3.80102i | 0.545230 | + | 0.122869i | ||||
\(958\) | 54.1726 | + | 4.32849i | 1.75024 | + | 0.139847i | ||||
\(959\) | −31.7718 | − | 36.6667i | −1.02597 | − | 1.18403i | ||||
\(960\) | 9.25697 | − | 8.25012i | 0.298767 | − | 0.266272i | ||||
\(961\) | −12.6149 | + | 3.70406i | −0.406932 | + | 0.119486i | ||||
\(962\) | 7.56283 | + | 5.76041i | 0.243835 | + | 0.185723i | ||||
\(963\) | −0.295112 | + | 19.8012i | −0.00950986 | + | 0.638085i | ||||
\(964\) | 2.84683 | − | 0.360999i | 0.0916901 | − | 0.0116270i | ||||
\(965\) | 0.251402i | 0.00809292i | ||||||||
\(966\) | 19.4296 | − | 22.6986i | 0.625137 | − | 0.730315i | ||||
\(967\) | − | 5.27841i | − | 0.169742i | −0.996392 | − | 0.0848711i | \(-0.972952\pi\) | ||
0.996392 | − | 0.0848711i | \(-0.0270478\pi\) | |||||||
\(968\) | 2.37705 | − | 24.5823i | 0.0764014 | − | 0.790106i | ||||
\(969\) | −77.7360 | − | 6.14231i | −2.49724 | − | 0.197319i | ||||
\(970\) | 5.96727 | − | 7.83441i | 0.191598 | − | 0.251548i | ||||
\(971\) | −35.4402 | + | 10.4062i | −1.13733 | + | 0.333950i | −0.795584 | − | 0.605843i | \(-0.792836\pi\) |
−0.341745 | + | 0.939793i | \(0.611018\pi\) | |||||||
\(972\) | −29.7560 | + | 9.30502i | −0.954423 | + | 0.298458i | ||||
\(973\) | 20.3436 | + | 23.4778i | 0.652186 | + | 0.752663i | ||||
\(974\) | −1.24607 | + | 15.5950i | −0.0399268 | + | 0.499697i | ||||
\(975\) | −1.94529 | + | 8.63217i | −0.0622991 | + | 0.276451i | ||||
\(976\) | 32.3303 | + | 1.07800i | 1.03487 | + | 0.0345058i | ||||
\(977\) | −8.95434 | + | 13.9332i | −0.286475 | + | 0.445763i | −0.954429 | − | 0.298439i | \(-0.903534\pi\) |
0.667954 | + | 0.744203i | \(0.267170\pi\) | |||||||
\(978\) | −19.0502 | + | 21.2965i | −0.609159 | + | 0.680985i | ||||
\(979\) | −8.39053 | − | 7.27043i | −0.268162 | − | 0.232364i | ||||
\(980\) | −0.634129 | + | 0.707643i | −0.0202565 | + | 0.0226048i | ||||
\(981\) | −9.87266 | − | 35.5761i | −0.315210 | − | 1.13586i | ||||
\(982\) | 18.5632 | − | 9.93636i | 0.592375 | − | 0.317082i | ||||
\(983\) | 25.1195 | + | 55.0039i | 0.801186 | + | 1.75435i | 0.641407 | + | 0.767200i | \(0.278351\pi\) |
0.159779 | + | 0.987153i | \(0.448922\pi\) | |||||||
\(984\) | −10.3426 | + | 31.4149i | −0.329709 | + | 1.00147i | ||||
\(985\) | −7.96174 | + | 17.4338i | −0.253682 | + | 0.555487i | ||||
\(986\) | 63.9485 | + | 24.4605i | 2.03654 | + | 0.778980i | ||||
\(987\) | −1.71549 | + | 1.26437i | −0.0546048 | + | 0.0402453i | ||||
\(988\) | −6.45652 | + | 13.5362i | −0.205409 | + | 0.430644i | ||||
\(989\) | 6.71192 | − | 24.8528i | 0.213427 | − | 0.790272i | ||||
\(990\) | 5.69251 | + | 0.540326i | 0.180920 | + | 0.0171727i | ||||
\(991\) | 16.2294 | + | 25.2535i | 0.515544 | + | 0.802202i | 0.997248 | − | 0.0741315i | \(-0.0236184\pi\) |
−0.481704 | + | 0.876334i | \(0.659982\pi\) | |||||||
\(992\) | 22.7230 | − | 7.41270i | 0.721455 | − | 0.235354i | ||||
\(993\) | −7.78230 | + | 20.3996i | −0.246964 | + | 0.647362i | ||||
\(994\) | 26.5204 | − | 1.67478i | 0.841175 | − | 0.0531210i | ||||
\(995\) | −2.54069 | − | 5.56334i | −0.0805453 | − | 0.176370i | ||||
\(996\) | −37.9759 | + | 13.1301i | −1.20331 | + | 0.416044i | ||||
\(997\) | 8.73142 | + | 60.7283i | 0.276527 | + | 1.92329i | 0.372762 | + | 0.927927i | \(0.378411\pi\) |
−0.0962351 | + | 0.995359i | \(0.530680\pi\) | |||||||
\(998\) | −14.0914 | − | 7.84764i | −0.446057 | − | 0.248413i | ||||
\(999\) | 24.8852 | + | 14.3196i | 0.787334 | + | 0.453051i |
(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 | 276.2.o.a.35.18 | yes | 440 | |
3.2 | odd | 2 | inner | 276.2.o.a.35.27 | yes | 440 | |
4.3 | odd | 2 | inner | 276.2.o.a.35.11 | ✓ | 440 | |
12.11 | even | 2 | inner | 276.2.o.a.35.34 | yes | 440 | |
23.2 | even | 11 | inner | 276.2.o.a.71.34 | yes | 440 | |
69.2 | odd | 22 | inner | 276.2.o.a.71.11 | yes | 440 | |
92.71 | odd | 22 | inner | 276.2.o.a.71.27 | yes | 440 | |
276.71 | even | 22 | inner | 276.2.o.a.71.18 | yes | 440 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
276.2.o.a.35.11 | ✓ | 440 | 4.3 | odd | 2 | inner | |
276.2.o.a.35.18 | yes | 440 | 1.1 | even | 1 | trivial | |
276.2.o.a.35.27 | yes | 440 | 3.2 | odd | 2 | inner | |
276.2.o.a.35.34 | yes | 440 | 12.11 | even | 2 | inner | |
276.2.o.a.71.11 | yes | 440 | 69.2 | odd | 22 | inner | |
276.2.o.a.71.18 | yes | 440 | 276.71 | even | 22 | inner | |
276.2.o.a.71.27 | yes | 440 | 92.71 | odd | 22 | inner | |
276.2.o.a.71.34 | yes | 440 | 23.2 | even | 11 | inner |