Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [483,2,Mod(4,483)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(483, base_ring=CyclotomicField(66))
chi = DirichletCharacter(H, H._module([0, 44, 12]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("483.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 483 = 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 483.y (of order \(33\), degree \(20\), 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: | \(3.85677441763\) |
Analytic rank: | \(0\) |
Dimension: | \(320\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{33})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{33}]$ |
Embedding invariants
Embedding label | 163.13 | ||
Character | \(\chi\) | \(=\) | 483.163 |
Dual form | 483.2.y.b.403.13 |
$q$-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 \(\left(\mathbb{Z}/483\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(346\) | \(442\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.42262 | − | 0.733414i | 1.00595 | − | 0.518602i | 0.125171 | − | 0.992135i | \(-0.460052\pi\) |
0.880776 | + | 0.473533i | \(0.157022\pi\) | |||||||
\(3\) | −0.786053 | + | 0.618159i | −0.453828 | + | 0.356894i | ||||
\(4\) | 0.325851 | − | 0.457593i | 0.162925 | − | 0.228797i | ||||
\(5\) | −0.994524 | + | 0.948277i | −0.444765 | + | 0.424082i | −0.879077 | − | 0.476680i | \(-0.841840\pi\) |
0.434312 | + | 0.900762i | \(0.356991\pi\) | |||||||
\(6\) | −0.664892 | + | 1.45591i | −0.271441 | + | 0.594373i | ||||
\(7\) | 1.69272 | − | 2.03339i | 0.639789 | − | 0.768551i | ||||
\(8\) | −0.327606 | + | 2.27855i | −0.115826 | + | 0.805588i | ||||
\(9\) | 0.235759 | − | 0.971812i | 0.0785863 | − | 0.323937i | ||||
\(10\) | −0.719355 | + | 2.07844i | −0.227480 | + | 0.657260i | ||||
\(11\) | 3.16163 | + | 1.62994i | 0.953269 | + | 0.491444i | 0.863406 | − | 0.504510i | \(-0.168327\pi\) |
0.0898629 | + | 0.995954i | \(0.471357\pi\) | |||||||
\(12\) | 0.0267294 | + | 0.561120i | 0.00771613 | + | 0.161981i | ||||
\(13\) | 3.84166 | + | 4.43351i | 1.06549 | + | 1.22964i | 0.972238 | + | 0.233993i | \(0.0751792\pi\) |
0.0932472 | + | 0.995643i | \(0.470275\pi\) | |||||||
\(14\) | 0.916790 | − | 4.13422i | 0.245022 | − | 1.10492i | ||||
\(15\) | 0.195563 | − | 1.36017i | 0.0504941 | − | 0.351194i | ||||
\(16\) | 1.57252 | + | 4.54351i | 0.393131 | + | 1.13588i | ||||
\(17\) | −4.09374 | + | 0.390905i | −0.992877 | + | 0.0948083i | −0.578831 | − | 0.815448i | \(-0.696491\pi\) |
−0.414046 | + | 0.910256i | \(0.635885\pi\) | |||||||
\(18\) | −0.377344 | − | 1.55543i | −0.0889408 | − | 0.366619i | ||||
\(19\) | −0.804502 | − | 0.0768206i | −0.184565 | − | 0.0176239i | 0.00236400 | − | 0.999997i | \(-0.499248\pi\) |
−0.186929 | + | 0.982373i | \(0.559854\pi\) | |||||||
\(20\) | 0.109859 | + | 0.764084i | 0.0245652 | + | 0.170854i | ||||
\(21\) | −0.0736094 | + | 2.64473i | −0.0160629 | + | 0.577127i | ||||
\(22\) | 5.69324 | 1.21380 | ||||||||
\(23\) | 4.78621 | + | 0.303599i | 0.997994 | + | 0.0633048i | ||||
\(24\) | −1.15099 | − | 1.99357i | −0.234945 | − | 0.406936i | ||||
\(25\) | −0.148060 | + | 3.10817i | −0.0296121 | + | 0.621634i | ||||
\(26\) | 8.71684 | + | 3.48970i | 1.70951 | + | 0.684386i | ||||
\(27\) | 0.415415 | + | 0.909632i | 0.0799467 | + | 0.175059i | ||||
\(28\) | −0.378892 | − | 1.43716i | −0.0716039 | − | 0.271598i | ||||
\(29\) | 1.00343 | − | 2.19721i | 0.186333 | − | 0.408012i | −0.793294 | − | 0.608839i | \(-0.791636\pi\) |
0.979627 | + | 0.200827i | \(0.0643628\pi\) | |||||||
\(30\) | −0.719355 | − | 2.07844i | −0.131336 | − | 0.379469i | ||||
\(31\) | 2.88346 | − | 1.15436i | 0.517884 | − | 0.207329i | −0.0979706 | − | 0.995189i | \(-0.531235\pi\) |
0.615855 | + | 0.787860i | \(0.288811\pi\) | |||||||
\(32\) | 2.23734 | + | 2.13330i | 0.395510 | + | 0.377118i | ||||
\(33\) | −3.49277 | + | 0.673177i | −0.608014 | + | 0.117185i | ||||
\(34\) | −5.53716 | + | 3.55851i | −0.949615 | + | 0.610280i | ||||
\(35\) | 0.244767 | + | 3.62743i | 0.0413731 | + | 0.613147i | ||||
\(36\) | −0.367872 | − | 0.424547i | −0.0613120 | − | 0.0707579i | ||||
\(37\) | 2.02503 | − | 8.34728i | 0.332912 | − | 1.37228i | −0.521749 | − | 0.853099i | \(-0.674720\pi\) |
0.854662 | − | 0.519185i | \(-0.173764\pi\) | |||||||
\(38\) | −1.20085 | + | 0.480746i | −0.194803 | + | 0.0779873i | ||||
\(39\) | −5.76037 | − | 1.11022i | −0.922397 | − | 0.177777i | ||||
\(40\) | −1.83488 | − | 2.57673i | −0.290120 | − | 0.407417i | ||||
\(41\) | −11.3216 | − | 3.32432i | −1.76814 | − | 0.519172i | −0.774577 | − | 0.632479i | \(-0.782037\pi\) |
−0.993560 | + | 0.113307i | \(0.963856\pi\) | |||||||
\(42\) | 1.83496 | + | 3.81644i | 0.283141 | + | 0.588889i | ||||
\(43\) | −0.484951 | − | 3.37291i | −0.0739543 | − | 0.514363i | −0.992804 | − | 0.119755i | \(-0.961789\pi\) |
0.918849 | − | 0.394609i | \(-0.129120\pi\) | |||||||
\(44\) | 1.77607 | − | 0.915627i | 0.267752 | − | 0.138036i | ||||
\(45\) | 0.687078 | + | 1.19005i | 0.102424 | + | 0.177403i | ||||
\(46\) | 7.03165 | − | 3.07837i | 1.03676 | − | 0.453880i | ||||
\(47\) | −4.44139 | + | 7.69271i | −0.647843 | + | 1.12210i | 0.335794 | + | 0.941935i | \(0.390995\pi\) |
−0.983637 | + | 0.180162i | \(0.942338\pi\) | |||||||
\(48\) | −4.04470 | − | 2.59937i | −0.583802 | − | 0.375187i | ||||
\(49\) | −1.26938 | − | 6.88394i | −0.181340 | − | 0.983420i | ||||
\(50\) | 2.06894 | + | 4.53035i | 0.292592 | + | 0.640688i | ||||
\(51\) | 2.97625 | − | 2.83785i | 0.416759 | − | 0.397379i | ||||
\(52\) | 3.28055 | − | 0.313255i | 0.454931 | − | 0.0434406i | ||||
\(53\) | −1.11212 | − | 0.214343i | −0.152761 | − | 0.0294423i | 0.112297 | − | 0.993675i | \(-0.464179\pi\) |
−0.265058 | + | 0.964232i | \(0.585391\pi\) | |||||||
\(54\) | 1.25812 | + | 0.989394i | 0.171208 | + | 0.134639i | ||||
\(55\) | −4.68995 | + | 1.37709i | −0.632393 | + | 0.185687i | ||||
\(56\) | 4.07864 | + | 4.52310i | 0.545031 | + | 0.604425i | ||||
\(57\) | 0.679869 | − | 0.436925i | 0.0900508 | − | 0.0578721i | ||||
\(58\) | −0.183958 | − | 3.86174i | −0.0241548 | − | 0.507072i | ||||
\(59\) | 1.91134 | − | 5.52247i | 0.248836 | − | 0.718964i | −0.749538 | − | 0.661961i | \(-0.769724\pi\) |
0.998374 | − | 0.0570029i | \(-0.0181544\pi\) | |||||||
\(60\) | −0.558680 | − | 0.532700i | −0.0721253 | − | 0.0687713i | ||||
\(61\) | 0.376117 | + | 0.295782i | 0.0481568 | + | 0.0378709i | 0.641947 | − | 0.766749i | \(-0.278127\pi\) |
−0.593790 | + | 0.804620i | \(0.702369\pi\) | |||||||
\(62\) | 3.25545 | − | 3.75699i | 0.413443 | − | 0.477138i | ||||
\(63\) | −1.57700 | − | 2.12440i | −0.198683 | − | 0.267649i | ||||
\(64\) | −4.47888 | − | 1.31512i | −0.559860 | − | 0.164390i | ||||
\(65\) | −8.02482 | − | 0.766278i | −0.995357 | − | 0.0950451i | ||||
\(66\) | −4.47519 | + | 3.51933i | −0.550857 | + | 0.433199i | ||||
\(67\) | 0.516717 | − | 10.8472i | 0.0631270 | − | 1.32520i | −0.715898 | − | 0.698205i | \(-0.753982\pi\) |
0.779025 | − | 0.626993i | \(-0.215715\pi\) | |||||||
\(68\) | −1.15507 | + | 2.00064i | −0.140073 | + | 0.242614i | ||||
\(69\) | −3.94989 | + | 2.72000i | −0.475511 | + | 0.327449i | ||||
\(70\) | 3.00862 | + | 4.98095i | 0.359599 | + | 0.595338i | ||||
\(71\) | 9.21104 | + | 5.91957i | 1.09315 | + | 0.702524i | 0.957558 | − | 0.288241i | \(-0.0930703\pi\) |
0.135591 | + | 0.990765i | \(0.456707\pi\) | |||||||
\(72\) | 2.13708 | + | 0.855559i | 0.251858 | + | 0.100829i | ||||
\(73\) | 6.56177 | − | 9.21472i | 0.767997 | − | 1.07850i | −0.226528 | − | 0.974005i | \(-0.572738\pi\) |
0.994525 | − | 0.104496i | \(-0.0333231\pi\) | |||||||
\(74\) | −3.24115 | − | 13.3602i | −0.376777 | − | 1.55309i | ||||
\(75\) | −1.80496 | − | 2.53471i | −0.208419 | − | 0.292683i | ||||
\(76\) | −0.297300 | + | 0.343103i | −0.0341027 | + | 0.0393566i | ||||
\(77\) | 8.66607 | − | 3.66982i | 0.987591 | − | 0.418215i | ||||
\(78\) | −9.00909 | + | 2.64531i | −1.02008 | + | 0.299522i | ||||
\(79\) | −14.1979 | + | 2.73641i | −1.59738 | + | 0.307870i | −0.908783 | − | 0.417270i | \(-0.862987\pi\) |
−0.688601 | + | 0.725140i | \(0.741775\pi\) | |||||||
\(80\) | −5.87242 | − | 3.02744i | −0.656556 | − | 0.338478i | ||||
\(81\) | −0.888835 | − | 0.458227i | −0.0987595 | − | 0.0509141i | ||||
\(82\) | −18.5445 | + | 3.57416i | −2.04790 | + | 0.394700i | ||||
\(83\) | −8.83826 | + | 2.59515i | −0.970125 | + | 0.284854i | −0.728142 | − | 0.685426i | \(-0.759616\pi\) |
−0.241983 | + | 0.970281i | \(0.577798\pi\) | |||||||
\(84\) | 1.18622 | + | 0.895469i | 0.129428 | + | 0.0977037i | ||||
\(85\) | 3.70063 | − | 4.27076i | 0.401390 | − | 0.463229i | ||||
\(86\) | −3.16364 | − | 4.44271i | −0.341144 | − | 0.479070i | ||||
\(87\) | 0.569475 | + | 2.34741i | 0.0610542 | + | 0.251669i | ||||
\(88\) | −4.74966 | + | 6.66996i | −0.506315 | + | 0.711020i | ||||
\(89\) | 1.19538 | + | 0.478559i | 0.126710 | + | 0.0507272i | 0.434151 | − | 0.900840i | \(-0.357048\pi\) |
−0.307441 | + | 0.951567i | \(0.599473\pi\) | |||||||
\(90\) | 1.85026 | + | 1.18909i | 0.195034 | + | 0.125341i | ||||
\(91\) | 15.5180 | − | 0.306901i | 1.62672 | − | 0.0321720i | ||||
\(92\) | 1.69852 | − | 2.09121i | 0.177082 | − | 0.218024i | ||||
\(93\) | −1.55297 | + | 2.68982i | −0.161036 | + | 0.278922i | ||||
\(94\) | −0.676487 | + | 14.2012i | −0.0697743 | + | 1.46474i | ||||
\(95\) | 0.872944 | − | 0.686491i | 0.0895621 | − | 0.0704325i | ||||
\(96\) | −3.07739 | − | 0.293855i | −0.314085 | − | 0.0299915i | ||||
\(97\) | 13.5102 | + | 3.96695i | 1.37175 | + | 0.402782i | 0.882890 | − | 0.469580i | \(-0.155595\pi\) |
0.488860 | + | 0.872362i | \(0.337413\pi\) | |||||||
\(98\) | −6.85463 | − | 8.86229i | −0.692422 | − | 0.895226i | ||||
\(99\) | 2.32937 | − | 2.68824i | 0.234111 | − | 0.270178i | ||||
\(100\) | 1.37403 | + | 1.08055i | 0.137403 | + | 0.108055i | ||||
\(101\) | −3.64840 | − | 3.47875i | −0.363030 | − | 0.346148i | 0.486508 | − | 0.873676i | \(-0.338270\pi\) |
−0.849538 | + | 0.527528i | \(0.823119\pi\) | |||||||
\(102\) | 2.15277 | − | 6.22002i | 0.213156 | − | 0.615874i | ||||
\(103\) | 0.245315 | + | 5.14980i | 0.0241716 | + | 0.507424i | 0.978195 | + | 0.207691i | \(0.0665948\pi\) |
−0.954023 | + | 0.299734i | \(0.903102\pi\) | |||||||
\(104\) | −11.3605 | + | 7.30097i | −1.11399 | + | 0.715919i | ||||
\(105\) | −2.43473 | − | 2.70005i | −0.237605 | − | 0.263498i | ||||
\(106\) | −1.73933 | + | 0.510713i | −0.168939 | + | 0.0496049i | ||||
\(107\) | −9.18641 | − | 7.22427i | −0.888084 | − | 0.698397i | 0.0660377 | − | 0.997817i | \(-0.478964\pi\) |
−0.954121 | + | 0.299420i | \(0.903207\pi\) | |||||||
\(108\) | 0.551605 | + | 0.106313i | 0.0530782 | + | 0.0102300i | ||||
\(109\) | 16.8859 | − | 1.61241i | 1.61738 | − | 0.154441i | 0.753258 | − | 0.657725i | \(-0.228481\pi\) |
0.864121 | + | 0.503284i | \(0.167875\pi\) | |||||||
\(110\) | −5.66206 | + | 5.39876i | −0.539856 | + | 0.514752i | ||||
\(111\) | 3.56816 | + | 7.81319i | 0.338675 | + | 0.741595i | ||||
\(112\) | 11.9006 | + | 4.49334i | 1.12450 | + | 0.424581i | ||||
\(113\) | 10.2025 | + | 6.55676i | 0.959773 | + | 0.616808i | 0.923935 | − | 0.382549i | \(-0.124954\pi\) |
0.0358376 | + | 0.999358i | \(0.488590\pi\) | |||||||
\(114\) | 0.646751 | − | 1.12021i | 0.0605738 | − | 0.104917i | ||||
\(115\) | −5.04790 | + | 4.23672i | −0.470719 | + | 0.395076i | ||||
\(116\) | −0.678461 | − | 1.17513i | −0.0629935 | − | 0.109108i | ||||
\(117\) | 5.21425 | − | 2.68813i | 0.482057 | − | 0.248518i | ||||
\(118\) | −1.33113 | − | 9.25821i | −0.122540 | − | 0.852287i | ||||
\(119\) | −6.13470 | + | 8.98587i | −0.562367 | + | 0.823734i | ||||
\(120\) | 3.03515 | + | 0.891199i | 0.277070 | + | 0.0813550i | ||||
\(121\) | 0.958617 | + | 1.34619i | 0.0871470 | + | 0.122381i | ||||
\(122\) | 0.752003 | + | 0.144937i | 0.0680832 | + | 0.0131220i | ||||
\(123\) | 10.9543 | − | 4.38546i | 0.987720 | − | 0.395423i | ||||
\(124\) | 0.411348 | − | 1.69560i | 0.0369401 | − | 0.152269i | ||||
\(125\) | −7.29956 | − | 8.42414i | −0.652893 | − | 0.753478i | ||||
\(126\) | −3.80154 | − | 1.86563i | −0.338668 | − | 0.166203i | ||||
\(127\) | −0.907863 | + | 0.583448i | −0.0805598 | + | 0.0517727i | −0.580301 | − | 0.814402i | \(-0.697065\pi\) |
0.499741 | + | 0.866175i | \(0.333429\pi\) | |||||||
\(128\) | −13.4073 | + | 2.58405i | −1.18505 | + | 0.228400i | ||||
\(129\) | 2.46619 | + | 2.35151i | 0.217136 | + | 0.207039i | ||||
\(130\) | −11.9783 | + | 4.79539i | −1.05057 | + | 0.420584i | ||||
\(131\) | −0.411473 | − | 1.18887i | −0.0359505 | − | 0.103872i | 0.925597 | − | 0.378510i | \(-0.123563\pi\) |
−0.961548 | + | 0.274638i | \(0.911442\pi\) | |||||||
\(132\) | −0.830081 | + | 1.81762i | −0.0722493 | + | 0.158204i | ||||
\(133\) | −1.51801 | + | 1.50583i | −0.131628 | + | 0.130572i | ||||
\(134\) | −7.22040 | − | 15.8105i | −0.623748 | − | 1.36582i | ||||
\(135\) | −1.27572 | − | 0.510722i | −0.109797 | − | 0.0439560i | ||||
\(136\) | 0.450437 | − | 9.45584i | 0.0386247 | − | 0.810832i | ||||
\(137\) | −1.78119 | − | 3.08511i | −0.152177 | − | 0.263578i | 0.779850 | − | 0.625966i | \(-0.215295\pi\) |
−0.932028 | + | 0.362387i | \(0.881962\pi\) | |||||||
\(138\) | −3.62433 | + | 6.76644i | −0.308523 | + | 0.575997i | ||||
\(139\) | −0.179767 | −0.0152476 | −0.00762380 | − | 0.999971i | \(-0.502427\pi\) | ||||
−0.00762380 | + | 0.999971i | \(0.502427\pi\) | |||||||
\(140\) | 1.73964 | + | 1.07000i | 0.147027 | + | 0.0904312i | ||||
\(141\) | −1.26415 | − | 8.79236i | −0.106461 | − | 0.740450i | ||||
\(142\) | 17.4453 | + | 1.66583i | 1.46398 | + | 0.139793i | ||||
\(143\) | 4.91959 | + | 20.2788i | 0.411397 | + | 1.69580i | ||||
\(144\) | 4.78617 | − | 0.457024i | 0.398848 | − | 0.0380853i | ||||
\(145\) | 1.08563 | + | 3.13672i | 0.0901565 | + | 0.260490i | ||||
\(146\) | 2.57673 | − | 17.9216i | 0.213252 | − | 1.48320i | ||||
\(147\) | 5.25317 | + | 4.62647i | 0.433274 | + | 0.381585i | ||||
\(148\) | −3.15980 | − | 3.64660i | −0.259734 | − | 0.299749i | ||||
\(149\) | 0.623437 | + | 13.0876i | 0.0510740 | + | 1.07217i | 0.868357 | + | 0.495939i | \(0.165176\pi\) |
−0.817283 | + | 0.576236i | \(0.804521\pi\) | |||||||
\(150\) | −4.42677 | − | 2.28216i | −0.361444 | − | 0.186337i | ||||
\(151\) | 1.63434 | − | 4.72210i | 0.133000 | − | 0.384279i | −0.858761 | − | 0.512376i | \(-0.828766\pi\) |
0.991762 | + | 0.128096i | \(0.0408867\pi\) | |||||||
\(152\) | 0.438599 | − | 1.80793i | 0.0355751 | − | 0.146642i | ||||
\(153\) | −0.585250 | + | 4.07050i | −0.0473146 | + | 0.329081i | ||||
\(154\) | 9.63707 | − | 11.5766i | 0.776577 | − | 0.932868i | ||||
\(155\) | −1.77301 | + | 3.88235i | −0.142412 | + | 0.311838i | ||||
\(156\) | −2.38505 | + | 2.27414i | −0.190957 | + | 0.182077i | ||||
\(157\) | 5.15026 | − | 7.23253i | 0.411036 | − | 0.577219i | −0.556216 | − | 0.831038i | \(-0.687747\pi\) |
0.967252 | + | 0.253819i | \(0.0816868\pi\) | |||||||
\(158\) | −18.1913 | + | 14.3058i | −1.44722 | + | 1.13811i | ||||
\(159\) | 1.00668 | − | 0.518981i | 0.0798352 | − | 0.0411579i | ||||
\(160\) | −4.24805 | −0.335838 | ||||||||
\(161\) | 8.71907 | − | 9.21834i | 0.687159 | − | 0.726507i | ||||
\(162\) | −1.60055 | −0.125751 | ||||||||
\(163\) | 3.71293 | − | 1.91415i | 0.290819 | − | 0.149928i | −0.306644 | − | 0.951824i | \(-0.599206\pi\) |
0.597462 | + | 0.801897i | \(0.296176\pi\) | |||||||
\(164\) | −5.21034 | + | 4.09746i | −0.406859 | + | 0.319958i | ||||
\(165\) | 2.83529 | − | 3.98161i | 0.220727 | − | 0.309968i | ||||
\(166\) | −10.6702 | + | 10.1740i | −0.828168 | + | 0.789657i | ||||
\(167\) | −1.74641 | + | 3.82409i | −0.135141 | + | 0.295917i | −0.965088 | − | 0.261924i | \(-0.915643\pi\) |
0.829948 | + | 0.557841i | \(0.188370\pi\) | |||||||
\(168\) | −6.00202 | − | 1.03415i | −0.463066 | − | 0.0797864i | ||||
\(169\) | −3.04759 | + | 21.1965i | −0.234430 | + | 1.63050i | ||||
\(170\) | 2.13238 | − | 8.78979i | 0.163546 | − | 0.674146i | ||||
\(171\) | −0.264324 | + | 0.763713i | −0.0202133 | + | 0.0584026i | ||||
\(172\) | −1.70144 | − | 0.877153i | −0.129734 | − | 0.0668823i | ||||
\(173\) | −0.221500 | − | 4.64986i | −0.0168403 | − | 0.353522i | −0.991523 | − | 0.129930i | \(-0.958525\pi\) |
0.974683 | − | 0.223592i | \(-0.0717784\pi\) | |||||||
\(174\) | 2.53177 | + | 2.92182i | 0.191933 | + | 0.221503i | ||||
\(175\) | 6.06951 | + | 5.56233i | 0.458811 | + | 0.420473i | ||||
\(176\) | −2.43388 | + | 16.9280i | −0.183461 | + | 1.27600i | ||||
\(177\) | 1.91134 | + | 5.52247i | 0.143665 | + | 0.415094i | ||||
\(178\) | 2.05156 | − | 0.195900i | 0.153771 | − | 0.0146834i | ||||
\(179\) | 4.48838 | + | 18.5014i | 0.335478 | + | 1.38286i | 0.850633 | + | 0.525761i | \(0.176219\pi\) |
−0.515155 | + | 0.857097i | \(0.672266\pi\) | |||||||
\(180\) | 0.768446 | + | 0.0733777i | 0.0572766 | + | 0.00546925i | ||||
\(181\) | −1.08697 | − | 7.56007i | −0.0807941 | − | 0.561935i | −0.989504 | − | 0.144507i | \(-0.953840\pi\) |
0.908710 | − | 0.417429i | \(-0.137069\pi\) | |||||||
\(182\) | 21.8511 | − | 11.8177i | 1.61971 | − | 0.875985i | ||||
\(183\) | −0.478488 | −0.0353708 | ||||||||
\(184\) | −2.25976 | + | 10.8062i | −0.166591 | + | 0.796640i | ||||
\(185\) | 5.90159 | + | 10.2219i | 0.433894 | + | 0.751526i | ||||
\(186\) | −0.236540 | + | 4.96558i | −0.0173439 | + | 0.364094i | ||||
\(187\) | −13.5801 | − | 5.43663i | −0.993072 | − | 0.397566i | ||||
\(188\) | 2.07290 | + | 4.53902i | 0.151182 | + | 0.331042i | ||||
\(189\) | 2.55282 | + | 0.695052i | 0.185691 | + | 0.0505576i | ||||
\(190\) | 0.738390 | − | 1.61685i | 0.0535684 | − | 0.117298i | ||||
\(191\) | −4.10188 | − | 11.8516i | −0.296801 | − | 0.857551i | −0.990528 | − | 0.137312i | \(-0.956154\pi\) |
0.693727 | − | 0.720239i | \(-0.255968\pi\) | |||||||
\(192\) | 4.33359 | − | 1.73491i | 0.312750 | − | 0.125206i | ||||
\(193\) | −13.3423 | − | 12.7218i | −0.960397 | − | 0.915736i | 0.0361016 | − | 0.999348i | \(-0.488506\pi\) |
−0.996498 | + | 0.0836116i | \(0.973354\pi\) | |||||||
\(194\) | 22.1293 | − | 4.26508i | 1.58879 | − | 0.306215i | ||||
\(195\) | 6.78162 | − | 4.35828i | 0.485642 | − | 0.312103i | ||||
\(196\) | −3.56367 | − | 1.66228i | −0.254548 | − | 0.118734i | ||||
\(197\) | −12.8471 | − | 14.8264i | −0.915321 | − | 1.05634i | −0.998212 | − | 0.0597780i | \(-0.980961\pi\) |
0.0828908 | − | 0.996559i | \(-0.473585\pi\) | |||||||
\(198\) | 1.34223 | − | 5.53275i | 0.0953882 | − | 0.393196i | ||||
\(199\) | 21.7116 | − | 8.69202i | 1.53910 | − | 0.616161i | 0.561656 | − | 0.827371i | \(-0.310165\pi\) |
0.977441 | + | 0.211210i | \(0.0677403\pi\) | |||||||
\(200\) | −7.03361 | − | 1.35562i | −0.497351 | − | 0.0958566i | ||||
\(201\) | 6.29914 | + | 8.84590i | 0.444307 | + | 0.623942i | ||||
\(202\) | −7.74167 | − | 2.27316i | −0.544702 | − | 0.159939i | ||||
\(203\) | −2.76927 | − | 5.75965i | −0.194364 | − | 0.404248i | ||||
\(204\) | −0.328768 | − | 2.28663i | −0.0230183 | − | 0.160096i | ||||
\(205\) | 14.4120 | − | 7.42989i | 1.00658 | − | 0.518926i | ||||
\(206\) | 4.12592 | + | 7.14631i | 0.287467 | + | 0.497907i | ||||
\(207\) | 1.42343 | − | 4.57972i | 0.0989355 | − | 0.318313i | ||||
\(208\) | −14.1026 | + | 24.4264i | −0.977840 | + | 1.69367i | ||||
\(209\) | −2.41833 | − | 1.55417i | −0.167279 | − | 0.107504i | ||||
\(210\) | −5.44395 | − | 2.05549i | −0.375669 | − | 0.141842i | ||||
\(211\) | 8.41175 | + | 18.4192i | 0.579089 | + | 1.26803i | 0.941815 | + | 0.336132i | \(0.109119\pi\) |
−0.362726 | + | 0.931896i | \(0.618154\pi\) | |||||||
\(212\) | −0.460467 | + | 0.439054i | −0.0316250 | + | 0.0301544i | ||||
\(213\) | −10.8996 | + | 1.04079i | −0.746828 | + | 0.0713135i | ||||
\(214\) | −18.3672 | − | 3.53999i | −1.25556 | − | 0.241988i | ||||
\(215\) | 3.68074 | + | 2.89457i | 0.251025 | + | 0.197408i | ||||
\(216\) | −2.20873 | + | 0.648542i | −0.150285 | + | 0.0441277i | ||||
\(217\) | 2.53362 | − | 7.81721i | 0.171993 | − | 0.530667i | ||||
\(218\) | 22.8398 | − | 14.6782i | 1.54691 | − | 0.994136i | ||||
\(219\) | 0.538260 | + | 11.2995i | 0.0363723 | + | 0.763548i | ||||
\(220\) | −0.898075 | + | 2.59482i | −0.0605482 | + | 0.174943i | ||||
\(221\) | −17.4598 | − | 16.6479i | −1.17448 | − | 1.11986i | ||||
\(222\) | 10.8065 | + | 8.49830i | 0.725282 | + | 0.570368i | ||||
\(223\) | −17.2349 | + | 19.8901i | −1.15413 | + | 1.33194i | −0.219800 | + | 0.975545i | \(0.570541\pi\) |
−0.934334 | + | 0.356398i | \(0.884005\pi\) | |||||||
\(224\) | 8.12504 | − | 0.938310i | 0.542877 | − | 0.0626935i | ||||
\(225\) | 2.98565 | + | 0.876665i | 0.199043 | + | 0.0584444i | ||||
\(226\) | 19.3232 | + | 1.84514i | 1.28536 | + | 0.122737i | ||||
\(227\) | 9.97131 | − | 7.84153i | 0.661819 | − | 0.520460i | −0.229805 | − | 0.973237i | \(-0.573809\pi\) |
0.891624 | + | 0.452776i | \(0.149566\pi\) | |||||||
\(228\) | 0.0216017 | − | 0.453476i | 0.00143061 | − | 0.0300322i | ||||
\(229\) | 10.1981 | − | 17.6636i | 0.673910 | − | 1.16725i | −0.302876 | − | 0.953030i | \(-0.597947\pi\) |
0.976786 | − | 0.214217i | \(-0.0687199\pi\) | |||||||
\(230\) | −4.07400 | + | 9.72946i | −0.268631 | + | 0.641541i | ||||
\(231\) | −4.54346 | + | 8.24168i | −0.298938 | + | 0.542263i | ||||
\(232\) | 4.67773 | + | 3.00619i | 0.307108 | + | 0.197366i | ||||
\(233\) | −17.6789 | − | 7.07757i | −1.15818 | − | 0.463667i | −0.288599 | − | 0.957450i | \(-0.593189\pi\) |
−0.869585 | + | 0.493783i | \(0.835614\pi\) | |||||||
\(234\) | 5.44640 | − | 7.64840i | 0.356043 | − | 0.499992i | ||||
\(235\) | −2.87775 | − | 11.8622i | −0.187724 | − | 0.773808i | ||||
\(236\) | −1.90423 | − | 2.67412i | −0.123955 | − | 0.174070i | ||||
\(237\) | 9.46873 | − | 10.9275i | 0.615060 | − | 0.709817i | ||||
\(238\) | −2.13701 | + | 17.2828i | −0.138522 | + | 1.12028i | ||||
\(239\) | −11.5863 | + | 3.40203i | −0.749452 | + | 0.220059i | −0.634084 | − | 0.773264i | \(-0.718623\pi\) |
−0.115368 | + | 0.993323i | \(0.536805\pi\) | |||||||
\(240\) | 6.48747 | − | 1.25036i | 0.418765 | − | 0.0807102i | ||||
\(241\) | −18.3646 | − | 9.46760i | −1.18297 | − | 0.609862i | −0.249447 | − | 0.968388i | \(-0.580249\pi\) |
−0.933519 | + | 0.358527i | \(0.883279\pi\) | |||||||
\(242\) | 2.35107 | + | 1.21206i | 0.151132 | + | 0.0779141i | ||||
\(243\) | 0.981929 | − | 0.189251i | 0.0629908 | − | 0.0121405i | ||||
\(244\) | 0.257906 | − | 0.0757279i | 0.0165107 | − | 0.00484798i | ||||
\(245\) | 7.79031 | + | 5.64252i | 0.497705 | + | 0.360488i | ||||
\(246\) | 12.3676 | − | 14.2729i | 0.788527 | − | 0.910008i | ||||
\(247\) | −2.75004 | − | 3.86189i | −0.174981 | − | 0.245726i | ||||
\(248\) | 1.68563 | + | 6.94827i | 0.107038 | + | 0.441215i | ||||
\(249\) | 5.34313 | − | 7.50337i | 0.338607 | − | 0.475507i | ||||
\(250\) | −16.5629 | − | 6.63079i | −1.04753 | − | 0.419368i | ||||
\(251\) | −3.66329 | − | 2.35425i | −0.231225 | − | 0.148599i | 0.419899 | − | 0.907571i | \(-0.362066\pi\) |
−0.651123 | + | 0.758972i | \(0.725702\pi\) | |||||||
\(252\) | −1.48598 | + | 0.0293884i | −0.0936077 | + | 0.00185129i | ||||
\(253\) | 14.6374 | + | 8.76109i | 0.920246 | + | 0.550805i | ||||
\(254\) | −0.863639 | + | 1.49587i | −0.0541895 | + | 0.0938590i | ||||
\(255\) | −0.268887 | + | 5.64463i | −0.0168383 | + | 0.353480i | ||||
\(256\) | −9.83989 | + | 7.73817i | −0.614993 | + | 0.483636i | ||||
\(257\) | 29.3566 | + | 2.80322i | 1.83122 | + | 0.174860i | 0.952913 | − | 0.303245i | \(-0.0980702\pi\) |
0.878303 | + | 0.478105i | \(0.158676\pi\) | |||||||
\(258\) | 5.23309 | + | 1.53657i | 0.325798 | + | 0.0956629i | ||||
\(259\) | −13.5455 | − | 18.2473i | −0.841676 | − | 1.13383i | ||||
\(260\) | −2.96554 | + | 3.42241i | −0.183915 | + | 0.212249i | ||||
\(261\) | −1.89871 | − | 1.49316i | −0.117527 | − | 0.0924244i | ||||
\(262\) | −1.45731 | − | 1.38954i | −0.0900327 | − | 0.0858460i | ||||
\(263\) | 4.97177 | − | 14.3650i | 0.306572 | − | 0.885782i | −0.681504 | − | 0.731815i | \(-0.738674\pi\) |
0.988076 | − | 0.153968i | \(-0.0492051\pi\) | |||||||
\(264\) | −0.389613 | − | 8.17899i | −0.0239790 | − | 0.503382i | ||||
\(265\) | 1.30929 | − | 0.841427i | 0.0804288 | − | 0.0516885i | ||||
\(266\) | −1.05515 | + | 3.25556i | −0.0646956 | + | 0.199611i | ||||
\(267\) | −1.23546 | + | 0.362764i | −0.0756089 | + | 0.0222008i | ||||
\(268\) | −4.79524 | − | 3.77102i | −0.292916 | − | 0.230352i | ||||
\(269\) | −2.39455 | − | 0.461512i | −0.145998 | − | 0.0281389i | 0.115728 | − | 0.993281i | \(-0.463080\pi\) |
−0.261727 | + | 0.965142i | \(0.584292\pi\) | |||||||
\(270\) | −2.18945 | + | 0.209067i | −0.133245 | + | 0.0127234i | ||||
\(271\) | 3.92472 | − | 3.74221i | 0.238410 | − | 0.227323i | −0.561449 | − | 0.827511i | \(-0.689756\pi\) |
0.799859 | + | 0.600188i | \(0.204908\pi\) | |||||||
\(272\) | −8.21358 | − | 17.9852i | −0.498021 | − | 1.09051i | ||||
\(273\) | −12.0082 | + | 9.83380i | −0.726771 | + | 0.595169i | ||||
\(274\) | −4.79662 | − | 3.08260i | −0.289774 | − | 0.186227i | ||||
\(275\) | −5.53423 | + | 9.58557i | −0.333727 | + | 0.578031i | ||||
\(276\) | −0.0424228 | + | 2.69375i | −0.00255355 | + | 0.162145i | ||||
\(277\) | −9.48013 | − | 16.4201i | −0.569606 | − | 0.986587i | −0.996605 | − | 0.0823344i | \(-0.973762\pi\) |
0.426999 | − | 0.904252i | \(-0.359571\pi\) | |||||||
\(278\) | −0.255740 | + | 0.131843i | −0.0153383 | + | 0.00790743i | ||||
\(279\) | −0.442021 | − | 3.07433i | −0.0264631 | − | 0.184055i | ||||
\(280\) | −8.34546 | − | 0.630654i | −0.498737 | − | 0.0376888i | ||||
\(281\) | 27.2278 | + | 7.99481i | 1.62428 | + | 0.476930i | 0.962163 | − | 0.272475i | \(-0.0878421\pi\) |
0.662112 | + | 0.749405i | \(0.269660\pi\) | |||||||
\(282\) | −8.24685 | − | 11.5811i | −0.491093 | − | 0.689643i | ||||
\(283\) | 5.00887 | + | 0.965380i | 0.297746 | + | 0.0573859i | 0.335937 | − | 0.941885i | \(-0.390947\pi\) |
−0.0381904 | + | 0.999270i | \(0.512159\pi\) | |||||||
\(284\) | 5.71018 | − | 2.28601i | 0.338837 | − | 0.135650i | ||||
\(285\) | −0.261820 | + | 1.07924i | −0.0155089 | + | 0.0639284i | ||||
\(286\) | 21.8715 | + | 25.2410i | 1.29329 | + | 1.49253i | ||||
\(287\) | −25.9240 | + | 17.3941i | −1.53024 | + | 1.02674i | ||||
\(288\) | 2.60064 | − | 1.67133i | 0.153244 | − | 0.0984841i | ||||
\(289\) | −0.0869048 | + | 0.0167495i | −0.00511204 | + | 0.000985266i | ||||
\(290\) | 3.84495 | + | 3.66615i | 0.225783 | + | 0.215284i | ||||
\(291\) | −13.0719 | + | 5.23321i | −0.766289 | + | 0.306776i | ||||
\(292\) | −2.07843 | − | 6.00524i | −0.121631 | − | 0.351430i | ||||
\(293\) | 13.5228 | − | 29.6108i | 0.790011 | − | 1.72988i | 0.113390 | − | 0.993551i | \(-0.463829\pi\) |
0.676620 | − | 0.736332i | \(-0.263444\pi\) | |||||||
\(294\) | 10.8664 | + | 2.72898i | 0.633742 | + | 0.159157i | ||||
\(295\) | 3.33595 | + | 7.30471i | 0.194227 | + | 0.425297i | ||||
\(296\) | 18.3563 | + | 7.34874i | 1.06694 | + | 0.427137i | ||||
\(297\) | −0.169251 | + | 3.55302i | −0.00982096 | + | 0.206167i | ||||
\(298\) | 10.4855 | + | 18.1614i | 0.607410 | + | 1.05206i | ||||
\(299\) | 17.0410 | + | 22.3861i | 0.985507 | + | 1.29462i | ||||
\(300\) | −1.74801 | −0.100922 | ||||||||
\(301\) | −7.67933 | − | 4.72330i | −0.442629 | − | 0.272246i | ||||
\(302\) | −1.13821 | − | 7.91642i | −0.0654966 | − | 0.455539i | ||||
\(303\) | 5.01826 | + | 0.479185i | 0.288291 | + | 0.0275285i | ||||
\(304\) | −0.916063 | − | 3.77607i | −0.0525398 | − | 0.216572i | ||||
\(305\) | −0.654540 | + | 0.0625010i | −0.0374788 | + | 0.00357880i | ||||
\(306\) | 2.15277 | + | 6.22002i | 0.123066 | + | 0.355575i | ||||
\(307\) | −0.364422 | + | 2.53461i | −0.0207987 | + | 0.144658i | −0.997575 | − | 0.0696054i | \(-0.977826\pi\) |
0.976776 | + | 0.214263i | \(0.0687351\pi\) | |||||||
\(308\) | 1.14456 | − | 5.16135i | 0.0652174 | − | 0.294095i | ||||
\(309\) | −3.37622 | − | 3.89637i | −0.192067 | − | 0.221657i | ||||
\(310\) | 0.325043 | + | 6.82348i | 0.0184612 | + | 0.387548i | ||||
\(311\) | 4.42342 | + | 2.28043i | 0.250829 | + | 0.129311i | 0.579057 | − | 0.815287i | \(-0.303421\pi\) |
−0.328228 | + | 0.944599i | \(0.606451\pi\) | |||||||
\(312\) | 4.41682 | − | 12.7616i | 0.250053 | − | 0.722481i | ||||
\(313\) | 0.895393 | − | 3.69086i | 0.0506106 | − | 0.208620i | −0.940892 | − | 0.338707i | \(-0.890011\pi\) |
0.991503 | + | 0.130087i | \(0.0415257\pi\) | |||||||
\(314\) | 2.02245 | − | 14.0664i | 0.114133 | − | 0.793815i | ||||
\(315\) | 3.58288 | + | 0.617332i | 0.201873 | + | 0.0347827i | ||||
\(316\) | −3.37422 | + | 7.38850i | −0.189815 | + | 0.415636i | ||||
\(317\) | −5.60172 | + | 5.34123i | −0.314624 | + | 0.299993i | −0.830892 | − | 0.556434i | \(-0.812169\pi\) |
0.516268 | + | 0.856427i | \(0.327321\pi\) | |||||||
\(318\) | 1.05150 | − | 1.47663i | 0.0589654 | − | 0.0828053i | ||||
\(319\) | 6.75381 | − | 5.31126i | 0.378141 | − | 0.297373i | ||||
\(320\) | 5.70145 | − | 2.93930i | 0.318721 | − | 0.164312i | ||||
\(321\) | 11.6868 | 0.652291 | ||||||||
\(322\) | 5.64310 | − | 19.5089i | 0.314477 | − | 1.08719i | ||||
\(323\) | 3.32345 | 0.184922 | ||||||||
\(324\) | −0.499309 | + | 0.257412i | −0.0277394 | + | 0.0143006i | ||||
\(325\) | −14.3489 | + | 11.2841i | −0.795934 | + | 0.625930i | ||||
\(326\) | 3.87824 | − | 5.44622i | 0.214796 | − | 0.301638i | ||||
\(327\) | −12.2765 | + | 11.7056i | −0.678893 | + | 0.647323i | ||||
\(328\) | 11.2837 | − | 24.7078i | 0.623035 | − | 1.36426i | ||||
\(329\) | 8.12427 | + | 22.0527i | 0.447905 | + | 1.21581i | ||||
\(330\) | 1.11339 | − | 7.74377i | 0.0612899 | − | 0.426280i | ||||
\(331\) | −6.73176 | + | 27.7487i | −0.370011 | + | 1.52521i | 0.417368 | + | 0.908738i | \(0.362953\pi\) |
−0.787379 | + | 0.616469i | \(0.788563\pi\) | |||||||
\(332\) | −1.69243 | + | 4.88996i | −0.0928842 | + | 0.268371i | ||||
\(333\) | −7.63456 | − | 3.93589i | −0.418371 | − | 0.215685i | ||||
\(334\) | 0.320165 | + | 6.72109i | 0.0175186 | + | 0.367762i | ||||
\(335\) | 9.77227 | + | 11.2778i | 0.533916 | + | 0.616172i | ||||
\(336\) | −12.1321 | + | 3.82445i | −0.661860 | + | 0.208641i | ||||
\(337\) | −0.704772 | + | 4.90180i | −0.0383914 | + | 0.267018i | −0.999972 | − | 0.00750534i | \(-0.997611\pi\) |
0.961580 | + | 0.274523i | \(0.0885200\pi\) | |||||||
\(338\) | 11.2102 | + | 32.3897i | 0.609754 | + | 1.76177i | ||||
\(339\) | −12.0728 | + | 1.15282i | −0.655707 | + | 0.0626124i | ||||
\(340\) | −0.748417 | − | 3.08502i | −0.0405886 | − | 0.167308i | ||||
\(341\) | 10.9980 | + | 1.05018i | 0.595573 | + | 0.0568704i | ||||
\(342\) | 0.184085 | + | 1.28034i | 0.00995415 | + | 0.0692326i | ||||
\(343\) | −16.1465 | − | 9.07146i | −0.871828 | − | 0.489813i | ||||
\(344\) | 7.84420 | 0.422931 | ||||||||
\(345\) | 1.34895 | − | 6.45069i | 0.0726251 | − | 0.347293i | ||||
\(346\) | −3.72538 | − | 6.45255i | −0.200278 | − | 0.346891i | ||||
\(347\) | −1.16364 | + | 24.4277i | −0.0624673 | + | 1.31135i | 0.722309 | + | 0.691570i | \(0.243081\pi\) |
−0.784776 | + | 0.619779i | \(0.787222\pi\) | |||||||
\(348\) | 1.25972 | + | 0.504317i | 0.0675282 | + | 0.0270342i | ||||
\(349\) | 9.49760 | + | 20.7968i | 0.508395 | + | 1.11323i | 0.973649 | + | 0.228052i | \(0.0732357\pi\) |
−0.465254 | + | 0.885177i | \(0.654037\pi\) | |||||||
\(350\) | 12.7141 | + | 3.46165i | 0.679598 | + | 0.185033i | ||||
\(351\) | −2.43698 | + | 5.33625i | −0.130077 | + | 0.284828i | ||||
\(352\) | 3.59651 | + | 10.3914i | 0.191695 | + | 0.553866i | ||||
\(353\) | −1.44009 | + | 0.576525i | −0.0766483 | + | 0.0306853i | −0.409670 | − | 0.912234i | \(-0.634356\pi\) |
0.333022 | + | 0.942919i | \(0.391932\pi\) | |||||||
\(354\) | 6.76938 | + | 6.45459i | 0.359789 | + | 0.343058i | ||||
\(355\) | −14.7740 | + | 2.84745i | −0.784122 | + | 0.151127i | ||||
\(356\) | 0.608502 | − | 0.391060i | 0.0322505 | − | 0.0207261i | ||||
\(357\) | −0.732498 | − | 10.8556i | −0.0387679 | − | 0.574539i | ||||
\(358\) | 19.9545 | + | 23.0287i | 1.05463 | + | 1.21710i | ||||
\(359\) | −0.570014 | + | 2.34963i | −0.0300842 | + | 0.124009i | −0.984874 | − | 0.173274i | \(-0.944565\pi\) |
0.954789 | + | 0.297283i | \(0.0960805\pi\) | |||||||
\(360\) | −2.93669 | + | 1.17567i | −0.154777 | + | 0.0619634i | ||||
\(361\) | −18.0153 | − | 3.47217i | −0.948175 | − | 0.182746i | ||||
\(362\) | −7.09101 | − | 9.95793i | −0.372695 | − | 0.523377i | ||||
\(363\) | −1.58568 | − | 0.465599i | −0.0832268 | − | 0.0244376i | ||||
\(364\) | 4.91610 | − | 7.20091i | 0.257674 | − | 0.377430i | ||||
\(365\) | 2.21226 | + | 15.3866i | 0.115795 | + | 0.805373i | ||||
\(366\) | −0.680708 | + | 0.350930i | −0.0355812 | + | 0.0183434i | ||||
\(367\) | 15.7231 | + | 27.2332i | 0.820738 | + | 1.42156i | 0.905134 | + | 0.425127i | \(0.139771\pi\) |
−0.0843956 | + | 0.996432i | \(0.526896\pi\) | |||||||
\(368\) | 6.14703 | + | 22.2236i | 0.320436 | + | 1.15849i | ||||
\(369\) | −5.89978 | + | 10.2187i | −0.307130 | + | 0.531966i | ||||
\(370\) | 15.8926 | + | 10.2136i | 0.826217 | + | 0.530977i | ||||
\(371\) | −2.31835 | + | 1.89855i | −0.120363 | + | 0.0985679i | ||||
\(372\) | 0.724809 | + | 1.58711i | 0.0375796 | + | 0.0822878i | ||||
\(373\) | −19.6212 | + | 18.7088i | −1.01595 | + | 0.968704i | −0.999514 | − | 0.0311615i | \(-0.990079\pi\) |
−0.0164326 | + | 0.999865i | \(0.505231\pi\) | |||||||
\(374\) | −23.3066 | + | 2.22551i | −1.20516 | + | 0.115078i | ||||
\(375\) | 10.9453 | + | 2.10953i | 0.565213 | + | 0.108936i | ||||
\(376\) | −16.0732 | − | 12.6401i | −0.828911 | − | 0.651863i | ||||
\(377\) | 13.5962 | − | 3.99222i | 0.700242 | − | 0.205610i | ||||
\(378\) | 4.14147 | − | 0.883477i | 0.213014 | − | 0.0454411i | ||||
\(379\) | −0.0290815 | + | 0.0186895i | −0.00149381 | + | 0.000960017i | −0.541388 | − | 0.840773i | \(-0.682101\pi\) |
0.539894 | + | 0.841733i | \(0.318464\pi\) | |||||||
\(380\) | −0.0296841 | − | 0.623147i | −0.00152276 | − | 0.0319667i | ||||
\(381\) | 0.352965 | − | 1.01982i | 0.0180829 | − | 0.0522472i | ||||
\(382\) | −14.5275 | − | 13.8520i | −0.743294 | − | 0.708729i | ||||
\(383\) | −17.6083 | − | 13.8474i | −0.899744 | − | 0.707567i | 0.0570381 | − | 0.998372i | \(-0.481834\pi\) |
−0.956782 | + | 0.290805i | \(0.906077\pi\) | |||||||
\(384\) | 8.94152 | − | 10.3191i | 0.456295 | − | 0.526593i | ||||
\(385\) | −5.13861 | + | 11.8676i | −0.261888 | + | 0.604827i | ||||
\(386\) | −28.3114 | − | 8.31297i | −1.44101 | − | 0.423119i | ||||
\(387\) | −3.39216 | − | 0.323912i | −0.172433 | − | 0.0164654i | ||||
\(388\) | 6.21755 | − | 4.88953i | 0.315648 | − | 0.248228i | ||||
\(389\) | −0.573756 | + | 12.0446i | −0.0290906 | + | 0.610686i | 0.936508 | + | 0.350647i | \(0.114038\pi\) |
−0.965598 | + | 0.260039i | \(0.916265\pi\) | |||||||
\(390\) | 6.45127 | − | 11.1739i | 0.326673 | − | 0.565814i | ||||
\(391\) | −19.7122 | + | 0.628097i | −0.996888 | + | 0.0317642i | ||||
\(392\) | 16.1013 | − | 0.637123i | 0.813236 | − | 0.0321796i | ||||
\(393\) | 1.05835 | + | 0.680161i | 0.0533868 | + | 0.0343096i | ||||
\(394\) | −29.1505 | − | 11.6701i | −1.46858 | − | 0.587932i | ||||
\(395\) | 11.5252 | − | 16.1849i | 0.579897 | − | 0.814352i | ||||
\(396\) | −0.471093 | − | 1.94187i | −0.0236733 | − | 0.0975827i | ||||
\(397\) | −15.4110 | − | 21.6418i | −0.773457 | − | 1.08617i | −0.993848 | − | 0.110757i | \(-0.964672\pi\) |
0.220390 | − | 0.975412i | \(-0.429267\pi\) | |||||||
\(398\) | 24.5126 | − | 28.2891i | 1.22871 | − | 1.41800i | ||||
\(399\) | 0.262388 | − | 2.12203i | 0.0131359 | − | 0.106235i | ||||
\(400\) | −14.3548 | + | 4.21496i | −0.717741 | + | 0.210748i | ||||
\(401\) | 3.08860 | − | 0.595280i | 0.154238 | − | 0.0297268i | −0.111548 | − | 0.993759i | \(-0.535581\pi\) |
0.265785 | + | 0.964032i | \(0.414369\pi\) | |||||||
\(402\) | 15.4490 | + | 7.96452i | 0.770527 | + | 0.397234i | ||||
\(403\) | 16.1951 | + | 8.34918i | 0.806738 | + | 0.415902i | ||||
\(404\) | −2.78069 | + | 0.535933i | −0.138344 | + | 0.0266637i | ||||
\(405\) | 1.31849 | − | 0.387145i | 0.0655165 | − | 0.0192374i | ||||
\(406\) | −8.16383 | − | 6.16280i | −0.405164 | − | 0.305855i | ||||
\(407\) | 20.0079 | − | 23.0904i | 0.991756 | − | 1.14455i | ||||
\(408\) | 5.49115 | + | 7.71124i | 0.271852 | + | 0.381763i | ||||
\(409\) | −1.50258 | − | 6.19372i | −0.0742978 | − | 0.306260i | 0.922522 | − | 0.385944i | \(-0.126124\pi\) |
−0.996820 | + | 0.0796840i | \(0.974609\pi\) | |||||||
\(410\) | 15.0537 | − | 21.1399i | 0.743447 | − | 1.04403i | ||||
\(411\) | 3.30719 | + | 1.32400i | 0.163132 | + | 0.0653081i | ||||
\(412\) | 2.43645 | + | 1.56581i | 0.120035 | + | 0.0771419i | ||||
\(413\) | −7.99397 | − | 13.2345i | −0.393358 | − | 0.651228i | ||||
\(414\) | −1.33382 | − | 7.55919i | −0.0655536 | − | 0.371514i | ||||
\(415\) | 6.32894 | − | 10.9620i | 0.310676 | − | 0.538106i | ||||
\(416\) | −0.862910 | + | 18.1147i | −0.0423077 | + | 0.888147i | ||||
\(417\) | 0.141306 | − | 0.111124i | 0.00691979 | − | 0.00544178i | ||||
\(418\) | −4.58022 | − | 0.437358i | −0.224026 | − | 0.0213919i | ||||
\(419\) | 1.85075 | + | 0.543428i | 0.0904149 | + | 0.0265482i | 0.326627 | − | 0.945153i | \(-0.394088\pi\) |
−0.236212 | + | 0.971701i | \(0.575906\pi\) | |||||||
\(420\) | −2.02888 | + | 0.234303i | −0.0989992 | + | 0.0114328i | ||||
\(421\) | 2.33330 | − | 2.69278i | 0.113718 | − | 0.131238i | −0.696036 | − | 0.718007i | \(-0.745055\pi\) |
0.809755 | + | 0.586769i | \(0.199600\pi\) | |||||||
\(422\) | 25.4756 | + | 20.0343i | 1.24013 | + | 0.975253i | ||||
\(423\) | 6.42877 | + | 6.12982i | 0.312577 | + | 0.298042i | ||||
\(424\) | 0.852728 | − | 2.46380i | 0.0414122 | − | 0.119653i | ||||
\(425\) | −0.608877 | − | 12.7819i | −0.0295349 | − | 0.620013i | ||||
\(426\) | −14.7427 | + | 9.47457i | −0.714287 | + | 0.459044i | ||||
\(427\) | 1.23810 | − | 0.264117i | 0.0599159 | − | 0.0127815i | ||||
\(428\) | −6.29917 | + | 1.84960i | −0.304482 | + | 0.0894040i | ||||
\(429\) | −16.4026 | − | 12.8991i | −0.791925 | − | 0.622776i | ||||
\(430\) | 7.35923 | + | 1.41838i | 0.354894 | + | 0.0684001i | ||||
\(431\) | −4.11612 | + | 0.393042i | −0.198267 | + | 0.0189322i | −0.193717 | − | 0.981057i | \(-0.562054\pi\) |
−0.00454978 | + | 0.999990i | \(0.501448\pi\) | |||||||
\(432\) | −3.47967 | + | 3.31786i | −0.167416 | + | 0.159631i | ||||
\(433\) | −7.08196 | − | 15.5073i | −0.340338 | − | 0.745235i | 0.659642 | − | 0.751580i | \(-0.270708\pi\) |
−0.999980 | + | 0.00634443i | \(0.997980\pi\) | |||||||
\(434\) | −2.12886 | − | 12.9792i | −0.102189 | − | 0.623019i | ||||
\(435\) | −2.79235 | − | 1.79453i | −0.133883 | − | 0.0860413i | ||||
\(436\) | 4.76447 | − | 8.25230i | 0.228177 | − | 0.395213i | ||||
\(437\) | −3.82719 | − | 0.611926i | −0.183080 | − | 0.0292724i | ||||
\(438\) | 9.05293 | + | 15.6801i | 0.432566 | + | 0.749226i | ||||
\(439\) | −11.1600 | + | 5.75336i | −0.532636 | + | 0.274593i | −0.703492 | − | 0.710703i | \(-0.748377\pi\) |
0.170856 | + | 0.985296i | \(0.445347\pi\) | |||||||
\(440\) | −1.60132 | − | 11.1374i | −0.0763399 | − | 0.530956i | ||||
\(441\) | −6.98916 | − | 0.389353i | −0.332817 | − | 0.0185406i | ||||
\(442\) | −37.0486 | − | 10.8785i | −1.76222 | − | 0.517435i | ||||
\(443\) | −13.9429 | − | 19.5800i | −0.662446 | − | 0.930276i | 0.337493 | − | 0.941328i | \(-0.390421\pi\) |
−0.999939 | + | 0.0110526i | \(0.996482\pi\) | |||||||
\(444\) | 4.73795 | + | 0.913165i | 0.224853 | + | 0.0433369i | ||||
\(445\) | −1.64264 | + | 0.657615i | −0.0778688 | + | 0.0311739i | ||||
\(446\) | −9.93109 | + | 40.9365i | −0.470251 | + | 1.93840i | ||||
\(447\) | −8.58025 | − | 9.90213i | −0.405832 | − | 0.468355i | ||||
\(448\) | −10.2557 | + | 6.88120i | −0.484534 | + | 0.325106i | ||||
\(449\) | 0.666514 | − | 0.428343i | 0.0314548 | − | 0.0202147i | −0.524819 | − | 0.851214i | \(-0.675867\pi\) |
0.556274 | + | 0.830999i | \(0.312231\pi\) | |||||||
\(450\) | 4.89041 | − | 0.942550i | 0.230536 | − | 0.0444322i | ||||
\(451\) | −30.3763 | − | 28.9638i | −1.43037 | − | 1.36385i | ||||
\(452\) | 6.32483 | − | 2.53208i | 0.297495 | − | 0.119099i | ||||
\(453\) | 1.63434 | + | 4.72210i | 0.0767878 | + | 0.221864i | ||||
\(454\) | 8.43435 | − | 18.4686i | 0.395844 | − | 0.866777i | ||||
\(455\) | −15.1419 | + | 15.0205i | −0.709865 | + | 0.704173i | ||||
\(456\) | 0.772826 | + | 1.69225i | 0.0361909 | + | 0.0792470i | ||||
\(457\) | 15.8820 | + | 6.35817i | 0.742926 | + | 0.297423i | 0.712077 | − | 0.702101i | \(-0.247755\pi\) |
0.0308492 | + | 0.999524i | \(0.490179\pi\) | |||||||
\(458\) | 1.55332 | − | 32.6082i | 0.0725818 | − | 1.52368i | ||||
\(459\) | −2.05618 | − | 3.56141i | −0.0959742 | − | 0.166232i | ||||
\(460\) | 0.293832 | + | 3.69042i | 0.0137000 | + | 0.172067i | ||||
\(461\) | −15.5766 | −0.725473 | −0.362737 | − | 0.931892i | \(-0.618158\pi\) | ||||
−0.362737 | + | 0.931892i | \(0.618158\pi\) | |||||||
\(462\) | −0.419076 | + | 15.0571i | −0.0194972 | + | 0.700518i | ||||
\(463\) | −2.39961 | − | 16.6897i | −0.111519 | − | 0.775635i | −0.966443 | − | 0.256881i | \(-0.917305\pi\) |
0.854924 | − | 0.518754i | \(-0.173604\pi\) | |||||||
\(464\) | 11.5610 | + | 1.10394i | 0.536705 | + | 0.0512492i | ||||
\(465\) | −1.00623 | − | 4.14774i | −0.0466628 | − | 0.192347i | ||||
\(466\) | −30.3412 | + | 2.89724i | −1.40553 | + | 0.134212i | ||||
\(467\) | −4.19564 | − | 12.1225i | −0.194151 | − | 0.560963i | 0.805342 | − | 0.592811i | \(-0.201982\pi\) |
−0.999493 | + | 0.0318481i | \(0.989861\pi\) | |||||||
\(468\) | 0.468995 | − | 3.26193i | 0.0216793 | − | 0.150783i | ||||
\(469\) | −21.1820 | − | 19.4120i | −0.978094 | − | 0.896364i | ||||
\(470\) | −12.7939 | − | 14.7649i | −0.590138 | − | 0.681056i | ||||
\(471\) | 0.422475 | + | 8.86883i | 0.0194666 | + | 0.408654i | ||||
\(472\) | 11.9570 | + | 6.16428i | 0.550368 | + | 0.283734i | ||||
\(473\) | 3.96438 | − | 11.4543i | 0.182283 | − | 0.526671i | ||||
\(474\) | 5.45607 | − | 22.4902i | 0.250606 | − | 1.03301i | ||||
\(475\) | 0.357886 | − | 2.48915i | 0.0164210 | − | 0.114210i | ||||
\(476\) | 2.11288 | + | 5.73525i | 0.0968436 | + | 0.262875i | ||||
\(477\) | −0.470493 | + | 1.03024i | −0.0215424 | + | 0.0471713i | ||||
\(478\) | −13.9878 | + | 13.3373i | −0.639787 | + | 0.610035i | ||||
\(479\) | −15.3839 | + | 21.6037i | −0.702910 | + | 0.987099i | 0.296575 | + | 0.955010i | \(0.404156\pi\) |
−0.999485 | + | 0.0320897i | \(0.989784\pi\) | |||||||
\(480\) | 3.33919 | − | 2.62597i | 0.152413 | − | 0.119859i | ||||
\(481\) | 44.7872 | − | 23.0894i | 2.04212 | − | 1.05279i | ||||
\(482\) | −33.0696 | −1.50628 | ||||||||
\(483\) | −1.15525 | + | 12.6359i | −0.0525656 | + | 0.574952i | ||||
\(484\) | 0.928373 | 0.0421988 | ||||||||
\(485\) | −17.1980 | + | 8.86616i | −0.780919 | + | 0.402592i | ||||
\(486\) | 1.25812 | − | 0.989394i | 0.0570693 | − | 0.0448798i | ||||
\(487\) | −8.89204 | + | 12.4871i | −0.402937 | + | 0.565846i | −0.965333 | − | 0.261022i | \(-0.915940\pi\) |
0.562396 | + | 0.826868i | \(0.309880\pi\) | |||||||
\(488\) | −0.797171 | + | 0.760101i | −0.0360862 | + | 0.0344081i | ||||
\(489\) | −1.73531 | + | 3.79980i | −0.0784734 | + | 0.171833i | ||||
\(490\) | 15.2210 | + | 2.31367i | 0.687614 | + | 0.104521i | ||||
\(491\) | −1.45883 | + | 10.1464i | −0.0658361 | + | 0.457900i | 0.930061 | + | 0.367405i | \(0.119754\pi\) |
−0.995897 | + | 0.0904945i | \(0.971155\pi\) | |||||||
\(492\) | 1.56272 | − | 6.44164i | 0.0704530 | − | 0.290411i | ||||
\(493\) | −3.24890 | + | 9.38707i | −0.146323 | + | 0.422772i | ||||
\(494\) | −6.74464 | − | 3.47710i | −0.303456 | − | 0.156442i | ||||
\(495\) | 0.232578 | + | 4.88241i | 0.0104536 | + | 0.219448i | ||||
\(496\) | 9.77916 | + | 11.2857i | 0.439097 | + | 0.506745i | ||||
\(497\) | 27.6286 | − | 8.70947i | 1.23931 | − | 0.390673i | ||||
\(498\) | 2.09819 | − | 14.5932i | 0.0940219 | − | 0.653937i | ||||
\(499\) | −5.14618 | − | 14.8689i | −0.230375 | − | 0.665624i | −0.999644 | − | 0.0266985i | \(-0.991501\pi\) |
0.769269 | − | 0.638925i | \(-0.220621\pi\) | |||||||
\(500\) | −6.23340 | + | 0.595217i | −0.278766 | + | 0.0266189i | ||||
\(501\) | −0.991131 | − | 4.08550i | −0.0442805 | − | 0.182527i | ||||
\(502\) | −6.93813 | − | 0.662511i | −0.309664 | − | 0.0295693i | ||||
\(503\) | 6.00350 | + | 41.7553i | 0.267683 | + | 1.86178i | 0.470286 | + | 0.882514i | \(0.344151\pi\) |
−0.202603 | + | 0.979261i | \(0.564940\pi\) | |||||||
\(504\) | 5.35718 | − | 2.89731i | 0.238628 | − | 0.129056i | ||||
\(505\) | 6.92724 | 0.308258 | ||||||||
\(506\) | 27.2490 | + | 1.72846i | 1.21137 | + | 0.0768395i | ||||
\(507\) | −10.7072 | − | 18.5454i | −0.475524 | − | 0.823632i | ||||
\(508\) | −0.0288458 | + | 0.605549i | −0.00127983 | + | 0.0268669i | ||||
\(509\) | −3.73601 | − | 1.49567i | −0.165596 | − | 0.0662945i | 0.287384 | − | 0.957816i | \(-0.407215\pi\) |
−0.452979 | + | 0.891521i | \(0.649639\pi\) | |||||||
\(510\) | 3.75732 | + | 8.22739i | 0.166377 | + | 0.364315i | ||||
\(511\) | −7.62989 | − | 28.9406i | −0.337526 | − | 1.28026i | ||||
\(512\) | 3.02104 | − | 6.61516i | 0.133513 | − | 0.292352i | ||||
\(513\) | −0.264324 | − | 0.763713i | −0.0116702 | − | 0.0337188i | ||||
\(514\) | 43.8194 | − | 17.5426i | 1.93279 | − | 0.773772i | ||||
\(515\) | −5.12740 | − | 4.88897i | −0.225940 | − | 0.215434i | ||||
\(516\) | 1.87964 | − | 0.362271i | 0.0827466 | − | 0.0159481i | ||||
\(517\) | −26.5807 | + | 17.0824i | −1.16902 | + | 0.751281i | ||||
\(518\) | −32.6530 | − | 16.0246i | −1.43469 | − | 0.704081i | ||||
\(519\) | 3.04846 | + | 3.51812i | 0.133813 | + | 0.154428i | ||||
\(520\) | 4.37498 | − | 18.0339i | 0.191856 | − | 0.790839i | ||||
\(521\) | −25.5095 | + | 10.2125i | −1.11759 | + | 0.447417i | −0.855592 | − | 0.517651i | \(-0.826807\pi\) |
−0.262001 | + | 0.965068i | \(0.584382\pi\) | |||||||
\(522\) | −3.79626 | − | 0.731668i | −0.166158 | − | 0.0320243i | ||||
\(523\) | 2.66523 | + | 3.74279i | 0.116542 | + | 0.163661i | 0.868726 | − | 0.495292i | \(-0.164939\pi\) |
−0.752184 | + | 0.658953i | \(0.771000\pi\) | |||||||
\(524\) | −0.678098 | − | 0.199108i | −0.0296229 | − | 0.00869806i | ||||
\(525\) | −8.20936 | − | 0.620369i | −0.358286 | − | 0.0270751i | ||||
\(526\) | −3.46252 | − | 24.0823i | −0.150973 | − | 1.05004i | ||||
\(527\) | −11.3529 | + | 5.85281i | −0.494539 | + | 0.254952i | ||||
\(528\) | −8.55105 | − | 14.8109i | −0.372137 | − | 0.644560i | ||||
\(529\) | 22.8157 | + | 2.90618i | 0.991985 | + | 0.126356i | ||||
\(530\) | 1.24551 | − | 2.15728i | 0.0541014 | − | 0.0937064i | ||||
\(531\) | −4.91618 | − | 3.15944i | −0.213344 | − | 0.137108i | ||||
\(532\) | 0.194416 | + | 1.18531i | 0.00842900 | + | 0.0513895i | ||||
\(533\) | −28.7553 | − | 62.9654i | −1.24553 | − | 2.72734i | ||||
\(534\) | −1.49154 | + | 1.42218i | −0.0645452 | + | 0.0615437i | ||||
\(535\) | 15.9867 | − | 1.52655i | 0.691166 | − | 0.0659983i | ||||
\(536\) | 24.5466 | + | 4.73097i | 1.06025 | + | 0.204347i | ||||
\(537\) | −14.9649 | − | 11.7685i | −0.645783 | − | 0.507849i | ||||
\(538\) | −3.74503 | + | 1.09964i | −0.161460 | + | 0.0474088i | ||||
\(539\) | 7.20707 | − | 23.8335i | 0.310431 | − | 1.02658i | ||||
\(540\) | −0.649398 | + | 0.417343i | −0.0279457 | + | 0.0179596i | ||||
\(541\) | 1.45276 | + | 30.4971i | 0.0624589 | + | 1.31117i | 0.784848 | + | 0.619688i | \(0.212741\pi\) |
−0.722389 | + | 0.691487i | \(0.756956\pi\) | |||||||
\(542\) | 2.83881 | − | 8.20221i | 0.121937 | − | 0.352315i | ||||
\(543\) | 5.52774 | + | 5.27069i | 0.237218 | + | 0.226187i | ||||
\(544\) | −9.99301 | − | 7.85859i | −0.428447 | − | 0.336934i | ||||
\(545\) | −15.2645 | + | 17.6161i | −0.653858 | + | 0.754592i | ||||
\(546\) | −9.87094 | + | 22.7968i | −0.422437 | + | 0.975613i | ||||
\(547\) | 18.4109 | + | 5.40592i | 0.787193 | + | 0.231141i | 0.650534 | − | 0.759478i | \(-0.274545\pi\) |
0.136659 | + | 0.990618i | \(0.456364\pi\) | |||||||
\(548\) | −1.99212 | − | 0.190225i | −0.0850994 | − | 0.00812600i | ||||
\(549\) | 0.376117 | − | 0.295782i | 0.0160523 | − | 0.0126236i | ||||
\(550\) | −0.842942 | + | 17.6955i | −0.0359432 | + | 0.754540i | ||||
\(551\) | −0.976056 | + | 1.69058i | −0.0415814 | + | 0.0720211i | ||||
\(552\) | −4.90363 | − | 9.89110i | −0.208712 | − | 0.420993i | ||||
\(553\) | −18.4688 | + | 33.5018i | −0.785375 | + | 1.42464i | ||||
\(554\) | −25.5294 | − | 16.4067i | −1.08464 | − | 0.697055i | ||||
\(555\) | −10.9577 | − | 4.38680i | −0.465128 | − | 0.186209i | ||||
\(556\) | −0.0585770 | + | 0.0822599i | −0.00248422 | + | 0.00348860i | ||||
\(557\) | 1.13632 | + | 4.68396i | 0.0481473 | + | 0.198466i | 0.990806 | − | 0.135294i | \(-0.0431978\pi\) |
−0.942658 | + | 0.333759i | \(0.891683\pi\) | |||||||
\(558\) | −2.88358 | − | 4.04943i | −0.122072 | − | 0.171426i | ||||
\(559\) | 13.0908 | − | 15.1076i | 0.553682 | − | 0.638983i | ||||
\(560\) | −16.0964 | + | 6.81632i | −0.680195 | + | 0.288042i | ||||
\(561\) | 14.0353 | − | 4.12115i | 0.592573 | − | 0.173995i | ||||
\(562\) | 44.5985 | − | 8.59565i | 1.88127 | − | 0.362585i | ||||
\(563\) | −8.89095 | − | 4.58361i | −0.374709 | − | 0.193176i | 0.260577 | − | 0.965453i | \(-0.416087\pi\) |
−0.635286 | + | 0.772277i | \(0.719118\pi\) | |||||||
\(564\) | −4.43525 | − | 2.28653i | −0.186758 | − | 0.0962803i | ||||
\(565\) | −16.3643 | + | 3.15396i | −0.688451 | + | 0.132688i | ||||
\(566\) | 7.83376 | − | 2.30020i | 0.329277 | − | 0.0966846i | ||||
\(567\) | −2.43631 | + | 1.03170i | −0.102315 | + | 0.0433274i | ||||
\(568\) | −16.5056 | + | 19.0485i | −0.692561 | + | 0.799258i | ||||
\(569\) | −8.36250 | − | 11.7435i | −0.350574 | − | 0.492312i | 0.601206 | − | 0.799094i | \(-0.294687\pi\) |
−0.951780 | + | 0.306782i | \(0.900748\pi\) | |||||||
\(570\) | 0.419055 | + | 1.72737i | 0.0175523 | + | 0.0723516i | ||||
\(571\) | −14.4333 | + | 20.2687i | −0.604014 | + | 0.848218i | −0.997467 | − | 0.0711260i | \(-0.977341\pi\) |
0.393454 | + | 0.919344i | \(0.371280\pi\) | |||||||
\(572\) | 10.8825 | + | 4.35670i | 0.455020 | + | 0.182163i | ||||
\(573\) | 10.5505 | + | 6.78037i | 0.440752 | + | 0.283254i | ||||
\(574\) | −24.1230 | + | 43.7583i | −1.00688 | + | 1.82644i | ||||
\(575\) | −1.65229 | + | 14.8314i | −0.0689051 | + | 0.618512i | ||||
\(576\) | −2.33398 | + | 4.04258i | −0.0972493 | + | 0.168441i | ||||
\(577\) | 0.385638 | − | 8.09554i | 0.0160543 | − | 0.337022i | −0.976524 | − | 0.215411i | \(-0.930891\pi\) |
0.992578 | − | 0.121611i | \(-0.0388060\pi\) | |||||||
\(578\) | −0.111348 | + | 0.0875654i | −0.00463149 | + | 0.00364224i | ||||
\(579\) | 18.3518 | + | 1.75239i | 0.762676 | + | 0.0728267i | ||||
\(580\) | 1.78909 | + | 0.525325i | 0.0742880 | + | 0.0218129i | ||||
\(581\) | −9.68376 | + | 22.3645i | −0.401750 | + | 0.927837i | ||||
\(582\) | −14.7583 | + | 17.0320i | −0.611752 | + | 0.706000i | ||||
\(583\) | −3.16675 | − | 2.49036i | −0.131153 | − | 0.103140i | ||||
\(584\) | 18.8465 | + | 17.9701i | 0.779874 | + | 0.743608i | ||||
\(585\) | −2.63660 | + | 7.61796i | −0.109010 | + | 0.314964i | ||||
\(586\) | −2.47911 | − | 52.0429i | −0.102411 | − | 2.14987i | ||||
\(587\) | 35.8435 | − | 23.0352i | 1.47942 | − | 0.950766i | 0.482216 | − | 0.876053i | \(-0.339832\pi\) |
0.997205 | − | 0.0747134i | \(-0.0238042\pi\) | |||||||
\(588\) | 3.82879 | − | 0.896278i | 0.157897 | − | 0.0369619i | ||||
\(589\) | −2.40842 | + | 0.707177i | −0.0992374 | + | 0.0291387i | ||||
\(590\) | 10.1032 | + | 7.94523i | 0.415941 | + | 0.327100i | ||||
\(591\) | 19.2636 | + | 3.71276i | 0.792399 | + | 0.152722i | ||||
\(592\) | 41.1103 | − | 3.92556i | 1.68962 | − | 0.161340i | ||||
\(593\) | 17.1636 | − | 16.3654i | 0.704824 | − | 0.672048i | −0.250329 | − | 0.968161i | \(-0.580539\pi\) |
0.955153 | + | 0.296113i | \(0.0956904\pi\) | |||||||
\(594\) | 2.36506 | + | 5.17875i | 0.0970394 | + | 0.212487i | ||||
\(595\) | −2.41999 | − | 14.7541i | −0.0992098 | − | 0.604858i | ||||
\(596\) | 6.19193 | + | 3.97931i | 0.253631 | + | 0.162999i | ||||
\(597\) | −11.6934 | + | 20.2536i | −0.478581 | + | 0.828926i | ||||
\(598\) | 40.6612 | + | 19.3489i | 1.66276 | + | 0.791234i | ||||
\(599\) | −5.09328 | − | 8.82182i | −0.208106 | − | 0.360450i | 0.743012 | − | 0.669278i | \(-0.233397\pi\) |
−0.951118 | + | 0.308828i | \(0.900063\pi\) | |||||||
\(600\) | 6.36678 | − | 3.28230i | 0.259923 | − | 0.133999i | ||||
\(601\) | 6.67487 | + | 46.4248i | 0.272274 | + | 1.89371i | 0.424609 | + | 0.905377i | \(0.360411\pi\) |
−0.152336 | + | 0.988329i | \(0.548679\pi\) | |||||||
\(602\) | −14.3889 | − | 1.08735i | −0.586449 | − | 0.0443171i | ||||
\(603\) | −10.4196 | − | 3.05948i | −0.424320 | − | 0.124592i | ||||
\(604\) | −1.62825 | − | 2.28656i | −0.0662527 | − | 0.0930389i | ||||
\(605\) | −2.22993 | − | 0.429783i | −0.0906595 | − | 0.0174732i | ||||
\(606\) | 7.49054 | − | 2.99876i | 0.304282 | − | 0.121816i | ||||
\(607\) | 1.99311 | − | 8.21573i | 0.0808980 | − | 0.333466i | −0.916953 | − | 0.398996i | \(-0.869359\pi\) |
0.997851 | + | 0.0655300i | \(0.0208738\pi\) | |||||||
\(608\) | −1.63607 | − | 1.88812i | −0.0663512 | − | 0.0765734i | ||||
\(609\) | 5.73717 | + | 2.81554i | 0.232482 | + | 0.114092i | ||||
\(610\) | −0.885325 | + | 0.568964i | −0.0358458 | + | 0.0230367i | ||||
\(611\) | −51.1681 | + | 9.86183i | −2.07004 | + | 0.398967i | ||||
\(612\) | 1.67193 | + | 1.59418i | 0.0675837 | + | 0.0644410i | ||||
\(613\) | −3.66675 | + | 1.46795i | −0.148099 | + | 0.0592898i | −0.444528 | − | 0.895765i | \(-0.646628\pi\) |
0.296429 | + | 0.955055i | \(0.404204\pi\) | |||||||
\(614\) | 1.34048 | + | 3.87307i | 0.0540975 | + | 0.156305i | ||||
\(615\) | −6.73573 | + | 14.7492i | −0.271611 | + | 0.594745i | ||||
\(616\) | 5.52280 | + | 20.9483i | 0.222520 | + | 0.844032i | ||||
\(617\) | 7.67586 | + | 16.8078i | 0.309019 | + | 0.676656i | 0.998882 | − | 0.0472836i | \(-0.0150565\pi\) |
−0.689863 | + | 0.723940i | \(0.742329\pi\) | |||||||
\(618\) | −7.66075 | − | 3.06690i | −0.308161 | − | 0.123369i | ||||
\(619\) | 0.930589 | − | 19.5355i | 0.0374035 | − | 0.785197i | −0.899777 | − | 0.436351i | \(-0.856271\pi\) |
0.937180 | − | 0.348846i | \(-0.113426\pi\) | |||||||
\(620\) | 1.19880 | + | 2.07639i | 0.0481450 | + | 0.0833897i | ||||
\(621\) | 1.71210 | + | 4.47981i | 0.0687042 | + | 0.179769i | ||||
\(622\) | 7.96536 | 0.319382 | ||||||||
\(623\) | 2.99655 | − | 1.62062i | 0.120054 | − | 0.0649286i | ||||
\(624\) | −4.01402 | − | 27.9181i | −0.160689 | − | 1.11762i | ||||
\(625\) | −0.240008 | − | 0.0229180i | −0.00960033 | − | 0.000916720i | ||||
\(626\) | −1.43312 | − | 5.90740i | −0.0572790 | − | 0.236107i | ||||
\(627\) | 2.86166 | − | 0.273255i | 0.114284 | − | 0.0109128i | ||||
\(628\) | −1.63134 | − | 4.71345i | −0.0650976 | − | 0.188087i | ||||
\(629\) | −5.02694 | + | 34.9632i | −0.200437 | + | 1.39407i | ||||
\(630\) | 5.54986 | − | 1.74950i | 0.221112 | − | 0.0697019i | ||||
\(631\) | 14.1758 | + | 16.3597i | 0.564330 | + | 0.651271i | 0.964161 | − | 0.265317i | \(-0.0854768\pi\) |
−0.399831 | + | 0.916589i | \(0.630931\pi\) | |||||||
\(632\) | −1.58375 | − | 33.2470i | −0.0629981 | − | 1.32249i | ||||
\(633\) | −17.9981 | − | 9.27864i | −0.715358 | − | 0.368793i | ||||
\(634\) | −4.05181 | + | 11.7069i | −0.160918 | + | 0.464942i | ||||
\(635\) | 0.349621 | − | 1.44116i | 0.0138743 | − | 0.0571906i | ||||
\(636\) | 0.0905460 | − | 0.629762i | 0.00359038 | − | 0.0249717i | ||||
\(637\) | 25.6435 | − | 32.0736i | 1.01603 | − | 1.27080i | ||||
\(638\) | 5.71279 | − | 12.5093i | 0.226171 | − | 0.495246i | ||||
\(639\) | 7.92429 | − | 7.55580i | 0.313480 | − | 0.298903i | ||||
\(640\) | 10.8835 | − | 15.2838i | 0.430209 | − | 0.604144i | ||||
\(641\) | −17.4103 | + | 13.6916i | −0.687667 | + | 0.540787i | −0.899718 | − | 0.436471i | \(-0.856228\pi\) |
0.212051 | + | 0.977259i | \(0.431986\pi\) | |||||||
\(642\) | 16.6259 | − | 8.57123i | 0.656170 | − | 0.338279i | ||||
\(643\) | 22.3803 | 0.882594 | 0.441297 | − | 0.897361i | \(-0.354519\pi\) | ||||
0.441297 | + | 0.897361i | \(0.354519\pi\) | |||||||
\(644\) | −1.37714 | − | 6.99359i | −0.0542668 | − | 0.275586i | ||||
\(645\) | −4.68256 | −0.184376 | ||||||||
\(646\) | 4.72802 | − | 2.43746i | 0.186022 | − | 0.0959008i | ||||
\(647\) | 34.2707 | − | 26.9508i | 1.34732 | − | 1.05954i | 0.355129 | − | 0.934817i | \(-0.384437\pi\) |
0.992191 | − | 0.124727i | \(-0.0398055\pi\) | |||||||
\(648\) | 1.33528 | − | 1.87514i | 0.0524547 | − | 0.0736623i | ||||
\(649\) | 15.0442 | − | 14.3447i | 0.590538 | − | 0.563077i | ||||
\(650\) | −12.1372 | + | 26.5767i | −0.476060 | + | 1.04243i | ||||
\(651\) | 2.84072 | + | 7.71093i | 0.111337 | + | 0.302215i | ||||
\(652\) | 0.333959 | − | 2.32274i | 0.0130788 | − | 0.0909653i | ||||
\(653\) | 6.72758 | − | 27.7314i | 0.263270 | − | 1.08522i | −0.674587 | − | 0.738195i | \(-0.735678\pi\) |
0.937858 | − | 0.347020i | \(-0.112807\pi\) | |||||||
\(654\) | −8.87980 | + | 25.6565i | −0.347228 | + | 1.00325i | ||||
\(655\) | 1.53660 | + | 0.792172i | 0.0600399 | + | 0.0309527i | ||||
\(656\) | −2.69940 | − | 56.6674i | −0.105394 | − | 2.21249i | ||||
\(657\) | −7.40797 | − | 8.54926i | −0.289013 | − | 0.333538i | ||||
\(658\) | 27.7316 | + | 25.4143i | 1.08109 | + | 0.990752i | ||||
\(659\) | −5.54151 | + | 38.5420i | −0.215866 | + | 1.50138i | 0.537208 | + | 0.843450i | \(0.319479\pi\) |
−0.753075 | + | 0.657935i | \(0.771430\pi\) | |||||||
\(660\) | −0.898075 | − | 2.59482i | −0.0349575 | − | 0.101003i | ||||
\(661\) | −21.9663 | + | 2.09752i | −0.854389 | + | 0.0815843i | −0.513053 | − | 0.858357i | \(-0.671486\pi\) |
−0.341336 | + | 0.939941i | \(0.610879\pi\) | |||||||
\(662\) | 10.7745 | + | 44.4131i | 0.418763 | + | 1.72617i | ||||
\(663\) | 24.0154 | + | 2.29320i | 0.932682 | + | 0.0890603i | ||||
\(664\) | −3.01770 | − | 20.9886i | −0.117110 | − | 0.814515i | ||||
\(665\) | 0.0817462 | − | 2.93708i | 0.00316998 | − | 0.113895i | ||||
\(666\) | −13.7478 | −0.532714 | ||||||||
\(667\) | 5.46972 | − | 10.2117i | 0.211788 | − | 0.395398i | ||||
\(668\) | 1.18081 | + | 2.04523i | 0.0456870 | + | 0.0791322i | ||||
\(669\) | 1.25228 | − | 26.2886i | 0.0484160 | − | 1.01638i | ||||
\(670\) | 22.1736 | + | 8.87696i | 0.856640 | + | 0.342947i | ||||
\(671\) | 0.707039 | + | 1.54820i | 0.0272949 | + | 0.0597676i | ||||
\(672\) | −5.80669 | + | 5.76013i | −0.223998 | + | 0.222202i | ||||
\(673\) | −18.3021 | + | 40.0761i | −0.705495 | + | 1.54482i | 0.127683 | + | 0.991815i | \(0.459246\pi\) |
−0.833178 | + | 0.553004i | \(0.813481\pi\) | |||||||
\(674\) | 2.59242 | + | 7.49031i | 0.0998563 | + | 0.288516i | ||||
\(675\) | −2.88880 | + | 1.15650i | −0.111190 | + | 0.0445137i | ||||
\(676\) | 8.70630 | + | 8.30144i | 0.334858 | + | 0.319286i | ||||
\(677\) | −24.9230 | + | 4.80351i | −0.957868 | + | 0.184614i | −0.644147 | − | 0.764901i | \(-0.722788\pi\) |
−0.313721 | + | 0.949515i | \(0.601576\pi\) | |||||||
\(678\) | −16.3296 | + | 10.4944i | −0.627136 | + | 0.403036i | ||||
\(679\) | 30.9353 | − | 20.7566i | 1.18719 | − | 0.796564i | ||||
\(680\) | 8.51878 | + | 9.83120i | 0.326680 | + | 0.377009i | ||||
\(681\) | −2.99067 | + | 12.3277i | −0.114603 | + | 0.472399i | ||||
\(682\) | 16.4162 | − | 6.57205i | 0.628609 | − | 0.251657i | ||||
\(683\) | 5.90559 | + | 1.13821i | 0.225971 | + | 0.0435524i | 0.300980 | − | 0.953630i | \(-0.402686\pi\) |
−0.0750086 | + | 0.997183i | \(0.523898\pi\) | |||||||
\(684\) | 0.263340 | + | 0.369809i | 0.0100691 | + | 0.0141400i | ||||
\(685\) | 4.69697 | + | 1.37915i | 0.179462 | + | 0.0526948i | ||||
\(686\) | −29.6235 | − | 1.06323i | −1.13103 | − | 0.0405943i | ||||
\(687\) | 2.90269 | + | 20.1886i | 0.110744 | + | 0.770244i | ||||
\(688\) | 14.5622 | − | 7.50735i | 0.555180 | − | 0.286215i | ||||
\(689\) | −3.32209 | − | 5.75403i | −0.126562 | − | 0.219211i | ||||
\(690\) | −2.81197 | − | 10.1662i | −0.107050 | − | 0.387022i | ||||
\(691\) | −15.9666 | + | 27.6550i | −0.607399 | + | 1.05205i | 0.384269 | + | 0.923221i | \(0.374454\pi\) |
−0.991667 | + | 0.128824i | \(0.958880\pi\) | |||||||
\(692\) | −2.19992 | − | 1.41380i | −0.0836284 | − | 0.0537447i | ||||
\(693\) | −1.52327 | − | 9.28698i | −0.0578642 | − | 0.352783i | ||||
\(694\) | 16.2602 | + | 35.6049i | 0.617230 | + | 1.35154i | ||||
\(695\) | 0.178782 | − | 0.170468i | 0.00678159 | − | 0.00646624i | ||||
\(696\) | −5.53525 | + | 0.528552i | −0.209813 | + | 0.0200347i | ||||
\(697\) | 47.6472 | + | 9.18324i | 1.80477 | + | 0.347840i | ||||
\(698\) | 28.7642 | + | 22.6204i | 1.08874 | + | 0.856196i | ||||
\(699\) | 18.2716 | − | 5.36503i | 0.691097 | − | 0.202924i | ||||
\(700\) | 4.52304 | − | 0.964875i | 0.170955 | − | 0.0364688i | ||||
\(701\) | 35.4841 | − | 22.8042i | 1.34022 | − | 0.861304i | 0.343257 | − | 0.939241i | \(-0.388470\pi\) |
0.996958 | + | 0.0779374i | \(0.0248334\pi\) | |||||||
\(702\) | 0.446767 | + | 9.37879i | 0.0168621 | + | 0.353980i | ||||
\(703\) | −2.27038 | + | 6.55984i | −0.0856291 | + | 0.247409i | ||||
\(704\) | −12.0170 | − | 11.4582i | −0.452909 | − | 0.431848i | ||||
\(705\) | 9.59482 | + | 7.54545i | 0.361362 | + | 0.284178i | ||||
\(706\) | −1.62588 | + | 1.87636i | −0.0611906 | + | 0.0706178i | ||||
\(707\) | −13.2494 | + | 1.53009i | −0.498295 | + | 0.0575449i | ||||
\(708\) | 3.14986 | + | 0.924881i | 0.118379 | + | 0.0347592i | ||||
\(709\) | 26.3905 | + | 2.51998i | 0.991115 | + | 0.0946400i | 0.577998 | − | 0.816038i | \(-0.303834\pi\) |
0.413117 | + | 0.910678i | \(0.364440\pi\) | |||||||
\(710\) | −18.9295 | + | 14.8863i | −0.710411 | + | 0.558673i | ||||
\(711\) | −0.687994 | + | 14.4428i | −0.0258018 | + | 0.541646i | ||||
\(712\) | −1.48203 | + | 2.56696i | −0.0555416 | + | 0.0962008i | ||||
\(713\) | 14.1513 | − | 4.64960i | 0.529970 | − | 0.174129i | ||||
\(714\) | −9.00371 | − | 14.9062i | −0.336956 | − | 0.557851i | ||||
\(715\) | −24.1226 | − | 15.5026i | −0.902133 | − | 0.579766i | ||||
\(716\) | 9.92865 | + | 3.97483i | 0.371051 | + | 0.148546i | ||||
\(717\) | 7.00441 | − | 9.83632i | 0.261585 | − | 0.367344i | ||||
\(718\) | 0.912336 | + | 3.76070i | 0.0340481 | + | 0.140348i | ||||
\(719\) | 23.9174 | + | 33.5873i | 0.891970 | + | 1.25260i | 0.966835 | + | 0.255403i | \(0.0822080\pi\) |
−0.0748650 | + | 0.997194i | \(0.523853\pi\) | |||||||
\(720\) | −4.32658 | + | 4.99314i | −0.161242 | + | 0.186083i | ||||
\(721\) | 10.8868 | + | 8.21835i | 0.405446 | + | 0.306068i | ||||
\(722\) | −28.1756 | + | 8.27310i | −1.04859 | + | 0.307893i | ||||
\(723\) | 20.2880 | − | 3.91019i | 0.754519 | − | 0.145422i | ||||
\(724\) | −3.81363 | − | 1.96606i | −0.141732 | − | 0.0730681i | ||||
\(725\) | 6.68074 | + | 3.44416i | 0.248117 | + | 0.127913i | ||||
\(726\) | −2.59731 | + | 0.500590i | −0.0963951 | + | 0.0185786i | ||||
\(727\) | −6.69228 | + | 1.96503i | −0.248203 | + | 0.0728790i | −0.403468 | − | 0.914994i | \(-0.632195\pi\) |
0.155265 | + | 0.987873i | \(0.450377\pi\) | |||||||
\(728\) | −4.38448 | + | 35.4589i | −0.162500 | + | 1.31420i | ||||
\(729\) | −0.654861 | + | 0.755750i | −0.0242541 | + | 0.0279907i | ||||
\(730\) | 14.4320 | + | 20.2669i | 0.534152 | + | 0.750111i | ||||
\(731\) | 3.30374 | + | 13.6182i | 0.122193 | + | 0.503688i | ||||
\(732\) | −0.155916 | + | 0.218953i | −0.00576280 | + | 0.00809273i | ||||
\(733\) | −5.73841 | − | 2.29731i | −0.211953 | − | 0.0848532i | 0.263256 | − | 0.964726i | \(-0.415203\pi\) |
−0.475210 | + | 0.879873i | \(0.657628\pi\) | |||||||
\(734\) | 42.3412 | + | 27.2110i | 1.56284 | + | 1.00438i | ||||
\(735\) | −9.61158 | + | 0.380328i | −0.354528 | + | 0.0140286i | ||||
\(736\) | 10.0607 | + | 10.8897i | 0.370843 | + | 0.401399i | ||||
\(737\) | 19.3139 | − | 33.4527i | 0.711438 | − | 1.23225i | ||||
\(738\) | −0.898622 | + | 18.8644i | −0.0330787 | + | 0.694408i | ||||
\(739\) | −27.3481 | + | 21.5068i | −1.00601 | + | 0.791139i | −0.978029 | − | 0.208469i | \(-0.933152\pi\) |
−0.0279860 | + | 0.999608i | \(0.508909\pi\) | |||||||
\(740\) | 6.60049 | + | 0.630270i | 0.242639 | + | 0.0231692i | ||||
\(741\) | 4.54894 | + | 1.33569i | 0.167109 | + | 0.0490678i | ||||
\(742\) | −1.90572 | + | 4.40124i | −0.0699613 | + | 0.161575i | ||||
\(743\) | −6.84587 | + | 7.90055i | −0.251151 | + | 0.289843i | −0.867300 | − | 0.497786i | \(-0.834146\pi\) |
0.616149 | + | 0.787629i | \(0.288692\pi\) | |||||||
\(744\) | −5.62013 | − | 4.41972i | −0.206044 | − | 0.162035i | ||||
\(745\) | −13.0307 | − | 12.4247i | −0.477406 | − | 0.455206i | ||||
\(746\) | −14.1923 | + | 41.0060i | −0.519618 | + | 1.50134i | ||||
\(747\) | 0.438295 | + | 9.20095i | 0.0160364 | + | 0.336645i | ||||
\(748\) | −6.91284 | + | 4.44261i | −0.252758 | + | 0.162438i | ||||
\(749\) | −30.2398 | + | 6.45090i | −1.10494 | + | 0.235711i | ||||
\(750\) | 17.1182 | − | 5.02636i | 0.625069 | − | 0.183537i | ||||
\(751\) | −25.1590 | − | 19.7852i | −0.918065 | − | 0.721974i | 0.0427734 | − | 0.999085i | \(-0.486381\pi\) |
−0.960838 | + | 0.277111i | \(0.910623\pi\) | |||||||
\(752\) | −41.9361 | − | 8.08252i | −1.52925 | − | 0.294739i | ||||
\(753\) | 4.33484 | − | 0.413927i | 0.157971 | − | 0.0150844i | ||||
\(754\) | 16.4144 | − | 15.6511i | 0.597777 | − | 0.569979i | ||||
\(755\) | 2.85247 | + | 6.24605i | 0.103812 | + | 0.227317i | ||||
\(756\) | 1.14989 | − | 0.941671i | 0.0418211 | − | 0.0342482i | ||||
\(757\) | −39.9959 | − | 25.7038i | −1.45367 | − | 0.934220i | −0.999052 | − | 0.0435356i | \(-0.986138\pi\) |
−0.454622 | − | 0.890684i | \(-0.650226\pi\) | |||||||
\(758\) | −0.0276649 | + | 0.0479169i | −0.00100483 | + | 0.00174042i | ||||
\(759\) | −16.9215 | + | 2.16156i | −0.614212 | + | 0.0784598i | ||||
\(760\) | 1.27822 | + | 2.21394i | 0.0463659 | + | 0.0803082i | ||||
\(761\) | 6.23686 | − | 3.21533i | 0.226086 | − | 0.116556i | −0.341462 | − | 0.939895i | \(-0.610922\pi\) |
0.567549 | + | 0.823340i | \(0.307892\pi\) | |||||||
\(762\) | −0.245817 | − | 1.70970i | −0.00890502 | − | 0.0619358i | ||||
\(763\) | 25.3045 | − | 37.0651i | 0.916086 | − | 1.34185i | ||||
\(764\) | −6.75981 | − | 1.98486i | −0.244561 | − | 0.0718096i | ||||
\(765\) | −3.27792 | − | 4.60319i | −0.118513 | − | 0.166429i | ||||
\(766\) | −35.2059 | − | 6.78538i | −1.27204 | − | 0.245166i | ||||
\(767\) | 31.8267 | − | 12.7415i | 1.14920 | − | 0.460068i | ||||
\(768\) | 2.95125 | − | 12.1652i | 0.106494 | − | 0.438975i | ||||
\(769\) | 1.66157 | + | 1.91755i | 0.0599176 | + | 0.0691486i | 0.784917 | − | 0.619601i | \(-0.212705\pi\) |
−0.724999 | + | 0.688749i | \(0.758160\pi\) | |||||||
\(770\) | 1.39351 | + | 20.6518i | 0.0502187 | + | 0.744240i | ||||
\(771\) | −24.8087 | + | 15.9436i | −0.893463 | + | 0.574194i | ||||
\(772\) | −10.1690 | + | 1.95991i | −0.365990 | + | 0.0705389i | ||||
\(773\) | −11.8984 | − | 11.3451i | −0.427954 | − | 0.408054i | 0.445251 | − | 0.895406i | \(-0.353114\pi\) |
−0.873206 | + | 0.487352i | \(0.837963\pi\) | |||||||
\(774\) | −5.06333 | + | 2.02705i | −0.181998 | + | 0.0728609i | ||||
\(775\) | 3.16102 | + | 9.13318i | 0.113547 | + | 0.328074i | ||||
\(776\) | −13.4649 | + | 29.4840i | −0.483361 | + | 1.05841i | ||||
\(777\) | 21.9272 | + | 5.97008i | 0.786634 | + | 0.214176i | ||||
\(778\) | 8.01745 | + | 17.5558i | 0.287440 | + | 0.629405i | ||||
\(779\) | 8.85288 | + | 3.54416i | 0.317187 | + | 0.126983i | ||||
\(780\) | 0.215475 | − | 4.52337i | 0.00771523 | − | 0.161963i | ||||
\(781\) | 19.4734 | + | 33.7289i | 0.696813 | + | 1.20692i | ||||
\(782\) | −27.5824 | + | 15.3507i | −0.986344 | + | 0.548941i | ||||
\(783\) | 2.41550 | 0.0863229 | ||||||||
\(784\) | 29.2811 | − | 16.5926i | 1.04575 | − | 0.592593i | ||||
\(785\) | 1.73638 | + | 12.0768i | 0.0619741 | + | 0.431039i | ||||
\(786\) | 2.00448 | + | 0.191404i | 0.0714973 | + | 0.00682716i | ||||
\(787\) | 7.13001 | + | 29.3903i | 0.254158 | + | 1.04765i | 0.945629 | + | 0.325248i | \(0.105448\pi\) |
−0.691471 | + | 0.722404i | \(0.743037\pi\) | |||||||
\(788\) | −10.9707 | + | 1.04758i | −0.390815 | + | 0.0373183i | ||||
\(789\) | 4.97177 | + | 14.3650i | 0.177000 | + | 0.511407i | ||||
\(790\) | 4.52583 | − | 31.4778i | 0.161022 | − | 1.11993i | ||||
\(791\) | 30.6025 | − | 9.64696i | 1.08810 | − | 0.343007i | ||||
\(792\) | 5.36217 | + | 6.18828i | 0.190536 | + | 0.219891i | ||||
\(793\) | 0.133562 | + | 2.80381i | 0.00474293 | + | 0.0995663i | ||||
\(794\) | −37.7965 | − | 19.4854i | −1.34135 | − | 0.691512i | ||||
\(795\) | −0.509033 | + | 1.47075i | −0.0180535 | + | 0.0521622i | ||||
\(796\) | 3.09734 | − | 12.7674i | 0.109782 | − | 0.452528i | ||||
\(797\) | 3.76532 | − | 26.1884i | 0.133375 | − | 0.927640i | −0.807737 | − | 0.589543i | \(-0.799308\pi\) |
0.941111 | − | 0.338097i | \(-0.109783\pi\) | |||||||
\(798\) | −1.18305 | − | 3.21130i | −0.0418795 | − | 0.113679i | ||||
\(799\) | 15.1748 | − | 33.2281i | 0.536845 | − | 1.17553i | ||||
\(800\) | −6.96192 | + | 6.63818i | −0.246141 | + | 0.234695i | ||||
\(801\) | 0.746891 | − | 1.04886i | 0.0263901 | − | 0.0370597i | ||||
\(802\) | 3.95734 | − | 3.11208i | 0.139738 | − | 0.109892i | ||||
\(803\) | 35.7653 | − | 18.4383i | 1.26213 | − | 0.650674i | ||||
\(804\) | 6.10040 | 0.215145 | ||||||||
\(805\) | 0.0702201 | + | 17.4360i | 0.00247493 | + | 0.614537i | ||||
\(806\) | 29.1630 | 1.02722 | ||||||||
\(807\) | 2.16753 | − | 1.11744i | 0.0763008 | − | 0.0393358i | ||||
\(808\) | 9.12173 | − | 7.17341i | 0.320901 | − | 0.252360i | ||||
\(809\) | 14.3678 | − | 20.1768i | 0.505145 | − | 0.709377i | −0.480728 | − | 0.876870i | \(-0.659628\pi\) |
0.985873 | + | 0.167493i | \(0.0535670\pi\) | |||||||
\(810\) | 1.59178 | − | 1.51776i | 0.0559296 | − | 0.0533288i | ||||
\(811\) | 18.5303 | − | 40.5757i | 0.650687 | − | 1.42481i | −0.240264 | − | 0.970708i | \(-0.577234\pi\) |
0.890951 | − | 0.454099i | \(-0.150039\pi\) | |||||||
\(812\) | −3.53794 | − | 0.609589i | −0.124157 | − | 0.0213924i | ||||
\(813\) | −0.771756 | + | 5.36768i | −0.0270667 | + | 0.188253i | ||||
\(814\) | 11.5290 | − | 47.5230i | 0.404090 | − | 1.66568i | ||||
\(815\) | −1.87745 | + | 5.42455i | −0.0657643 | + | 0.190014i | ||||
\(816\) | 17.5740 | + | 9.06005i | 0.615214 | + | 0.317165i | ||||
\(817\) | 0.131035 | + | 2.75076i | 0.00458434 | + | 0.0962370i | ||||
\(818\) | −6.68016 | − | 7.70932i | −0.233566 | − | 0.269550i | ||||
\(819\) | 3.36025 | − | 15.1529i | 0.117416 | − | 0.529484i | ||||
\(820\) | 1.29629 | − | 9.01586i | 0.0452682 | − | 0.314848i | ||||
\(821\) | −2.54780 | − | 7.36137i | −0.0889187 | − | 0.256914i | 0.891770 | − | 0.452489i | \(-0.149464\pi\) |
−0.980689 | + | 0.195575i | \(0.937343\pi\) | |||||||
\(822\) | 5.67594 | − | 0.541986i | 0.197971 | − | 0.0189039i | ||||
\(823\) | 7.59584 | + | 31.3105i | 0.264774 | + | 1.09142i | 0.936515 | + | 0.350628i | \(0.114032\pi\) |
−0.671740 | + | 0.740787i | \(0.734453\pi\) | |||||||
\(824\) | −11.8144 | − | 1.12814i | −0.411575 | − | 0.0393006i | ||||
\(825\) | −1.57521 | − | 10.9558i | −0.0548416 | − | 0.381432i | ||||
\(826\) | −21.0788 | − | 12.9649i | −0.733426 | − | 0.451105i | ||||
\(827\) | −9.73861 | −0.338645 | −0.169322 | − | 0.985561i | \(-0.554158\pi\) | ||||
−0.169322 | + | 0.985561i | \(0.554158\pi\) | |||||||
\(828\) | −1.63182 | − | 2.14366i | −0.0567097 | − | 0.0744973i | ||||
\(829\) | 21.2226 | + | 36.7587i | 0.737093 | + | 1.27668i | 0.953799 | + | 0.300445i | \(0.0971353\pi\) |
−0.216706 | + | 0.976237i | \(0.569531\pi\) | |||||||
\(830\) | 0.963989 | − | 20.2366i | 0.0334605 | − | 0.702423i | ||||
\(831\) | 17.6021 | + | 7.04682i | 0.610610 | + | 0.244451i | ||||
\(832\) | −11.3758 | − | 24.9094i | −0.394383 | − | 0.863579i | ||||
\(833\) | 7.88747 | + | 27.6849i | 0.273285 | + | 0.959223i | ||||
\(834\) | 0.119525 | − | 0.261724i | 0.00413882 | − | 0.00906276i | ||||
\(835\) | −1.88946 | − | 5.45923i | −0.0653874 | − | 0.188924i | ||||
\(836\) | −1.49919 | + | 0.600185i | −0.0518506 | + | 0.0207578i | ||||
\(837\) | 2.24787 | + | 2.14334i | 0.0776979 | + | 0.0740848i | ||||
\(838\) | 3.03147 | − | 0.584269i | 0.104721 | − | 0.0201832i | ||||
\(839\) | 27.1709 | − | 17.4617i | 0.938042 | − | 0.602843i | 0.0202033 | − | 0.999796i | \(-0.493569\pi\) |
0.917839 | + | 0.396953i | \(0.129932\pi\) | |||||||
\(840\) | 6.94982 | − | 4.66309i | 0.239791 | − | 0.160892i | ||||
\(841\) | 15.1701 | + | 17.5072i | 0.523107 | + | 0.603697i | ||||
\(842\) | 1.34450 | − | 5.54209i | 0.0463344 | − | 0.190993i | ||||
\(843\) | −26.3446 | + | 10.5468i | −0.907355 | + | 0.363250i | ||||
\(844\) | 11.1695 | + | 2.15274i | 0.384469 | + | 0.0741003i | ||||
\(845\) | −17.0692 | − | 23.9703i | −0.587199 | − | 0.824605i | ||||
\(846\) | 13.6414 | + | 4.00548i | 0.469001 | + | 0.137711i | ||||
\(847\) | 4.36001 | + | 0.329479i | 0.149812 | + | 0.0113210i | ||||
\(848\) | −0.774963 | − | 5.38998i | −0.0266123 | − | 0.185093i | ||||
\(849\) | −4.53399 | + | 2.33744i | −0.155606 | + | 0.0802206i | ||||
\(850\) | −10.2406 | − | 17.7373i | −0.351251 | − | 0.608384i | ||||
\(851\) | 12.2264 | − | 39.3370i | 0.419117 | − | 1.34846i | ||||
\(852\) | −3.07539 | + | 5.32672i | −0.105361 | + | 0.182491i | ||||
\(853\) | −24.9338 | − | 16.0240i | −0.853717 | − | 0.548650i | 0.0390153 | − | 0.999239i | \(-0.487578\pi\) |
−0.892732 | + | 0.450588i | \(0.851214\pi\) | |||||||
\(854\) | 1.56765 | − | 1.28378i | 0.0536438 | − | 0.0439301i | ||||
\(855\) | −0.461335 | − | 1.01018i | −0.0157773 | − | 0.0345475i | ||||
\(856\) | 19.4704 | − | 18.5650i | 0.665484 | − | 0.634537i | ||||
\(857\) | −6.62830 | + | 0.632926i | −0.226418 | + | 0.0216203i | −0.207649 | − | 0.978203i | \(-0.566581\pi\) |
−0.0187698 | + | 0.999824i | \(0.505975\pi\) | |||||||
\(858\) | −32.7951 | − | 6.32074i | −1.11961 | − | 0.215787i | ||||
\(859\) | 34.4496 | + | 27.0915i | 1.17541 | + | 0.924349i | 0.998209 | − | 0.0598268i | \(-0.0190548\pi\) |
0.177196 | + | 0.984176i | \(0.443297\pi\) | |||||||
\(860\) | 2.52391 | − | 0.741086i | 0.0860645 | − | 0.0252708i | ||||
\(861\) | 9.62530 | − | 29.6978i | 0.328029 | − | 1.01210i | ||||
\(862\) | −5.56743 | + | 3.57797i | −0.189628 | + | 0.121866i | ||||
\(863\) | −2.09253 | − | 43.9275i | −0.0712304 | − | 1.49531i | −0.697995 | − | 0.716102i | \(-0.745924\pi\) |
0.626765 | − | 0.779208i | \(-0.284379\pi\) | |||||||
\(864\) | −1.01109 | + | 2.92136i | −0.0343981 | + | 0.0993868i | ||||
\(865\) | 4.62964 | + | 4.41435i | 0.157413 | + | 0.150093i | ||||
\(866\) | −21.4483 | − | 16.8671i | −0.728842 | − | 0.573168i | ||||
\(867\) | 0.0579579 | − | 0.0668870i | 0.00196835 | − | 0.00227160i | ||||
\(868\) | −2.75152 | − | 3.70661i | −0.0933928 | − | 0.125811i | ||||
\(869\) | −49.3486 | − | 14.4901i | −1.67404 | − | 0.491542i | ||||
\(870\) | −5.28860 | − | 0.505000i | −0.179300 | − | 0.0171211i | ||||
\(871\) | 50.0763 | − | 39.3805i | 1.69677 | − | 1.33436i | ||||
\(872\) | −1.85797 | + | 39.0037i | −0.0629189 | + | 1.32083i | ||||
\(873\) | 7.04027 | − | 12.1941i | 0.238277 | − | 0.412708i | ||||
\(874\) | −5.89346 | + | 1.93638i | −0.199349 | + | 0.0654989i | ||||
\(875\) | −29.4857 | + | 0.583144i | −0.996800 | + | 0.0197139i | ||||
\(876\) | 5.34596 | + | 3.43564i | 0.180623 | + | 0.116079i | ||||
\(877\) | 43.1435 | + | 17.2720i | 1.45685 | + | 0.583235i | 0.958843 | − | 0.283937i | \(-0.0916406\pi\) |
0.498008 | + | 0.867172i | \(0.334065\pi\) | |||||||
\(878\) | −11.6568 | + | 16.3697i | −0.393399 | + | 0.552452i | ||||
\(879\) | 7.67455 | + | 31.6349i | 0.258856 | + | 1.06702i | ||||
\(880\) | −13.6319 | − | 19.1433i | −0.459531 | − | 0.645321i | ||||
\(881\) | −17.5503 | + | 20.2541i | −0.591283 | + | 0.682377i | −0.969991 | − | 0.243139i | \(-0.921823\pi\) |
0.378708 | + | 0.925516i | \(0.376368\pi\) | |||||||
\(882\) | −10.2285 | + | 4.57205i | −0.344412 | + | 0.153949i | ||||
\(883\) | 12.3707 | − | 3.63237i | 0.416308 | − | 0.122239i | −0.0668691 | − | 0.997762i | \(-0.521301\pi\) |
0.483177 | + | 0.875523i | \(0.339483\pi\) | |||||||
\(884\) | −13.3073 | + | 2.56477i | −0.447572 | + | 0.0862625i | ||||
\(885\) | −7.13771 | − | 3.67974i | −0.239931 | − | 0.123693i | ||||
\(886\) | −34.1958 | − | 17.6291i | −1.14883 | − | 0.592262i | ||||
\(887\) | 5.75016 | − | 1.10825i | 0.193071 | − | 0.0372115i | −0.0917987 | − | 0.995778i | \(-0.529262\pi\) |
0.284870 | + | 0.958566i | \(0.408050\pi\) | |||||||
\(888\) | −18.9717 | + | 5.57059i | −0.636648 | + | 0.186937i | ||||
\(889\) | −0.350381 | + | 2.83366i | −0.0117514 | + | 0.0950379i | ||||
\(890\) | −1.85456 | + | 2.14028i | −0.0621650 | + | 0.0717422i | ||||
\(891\) | −2.06329 | − | 2.89749i | −0.0691229 | − | 0.0970696i | ||||
\(892\) | 3.48559 | + | 14.3678i | 0.116706 | + | 0.481069i | ||||
\(893\) | 4.16406 | − | 5.84761i | 0.139345 | − | 0.195683i | ||||
\(894\) | −19.4688 | − | 7.79414i | −0.651135 | − | 0.260675i | ||||
\(895\) | −22.0082 | − | 14.1438i | −0.735654 | − | 0.472776i | ||||
\(896\) | −17.4405 | + | 31.6365i | −0.582647 | + | 1.05690i | ||||
\(897\) | −27.2333 | − | 7.06259i | −0.909293 | − | 0.235813i | ||||
\(898\) | 0.634047 | − | 1.09820i | 0.0211584 | − | 0.0366475i | ||||
\(899\) | 0.356978 | − | 7.49390i | 0.0119059 | − | 0.249935i | ||||
\(900\) | 1.37403 | − | 1.08055i | 0.0458010 | − | 0.0360183i | ||||
\(901\) | 4.63651 | + | 0.442733i | 0.154465 | + | 0.0147496i | ||||
\(902\) | −64.4566 | − | 18.9262i | −2.14617 | − | 0.630172i | ||||
\(903\) | 8.95611 | − | 1.03428i | 0.298041 | − | 0.0344188i | ||||
\(904\) | −18.2823 | + | 21.0989i | −0.608061 | + | 0.701739i | ||||
\(905\) | 8.25006 | + | 6.48792i | 0.274241 | + | 0.215666i | ||||
\(906\) | 5.78830 | + | 5.51914i | 0.192303 | + | 0.183361i | ||||
\(907\) | −5.91200 | + | 17.0816i | −0.196305 | + | 0.567185i | −0.999597 | − | 0.0284001i | \(-0.990959\pi\) |
0.803292 | + | 0.595586i | \(0.203080\pi\) | |||||||
\(908\) | −0.339071 | − | 7.11797i | −0.0112525 | − | 0.236218i | ||||
\(909\) | −4.24083 | + | 2.72542i | −0.140659 | + | 0.0903963i | ||||
\(910\) | −10.5250 | + | 32.4739i | −0.348902 | + | 1.07650i | ||||
\(911\) | 3.37735 | − | 0.991680i | 0.111897 | − | 0.0328558i | −0.225305 | − | 0.974288i | \(-0.572338\pi\) |
0.337202 | + | 0.941432i | \(0.390520\pi\) | |||||||
\(912\) | 3.05428 | + | 2.40191i | 0.101137 | + | 0.0795353i | ||||
\(913\) | −32.1733 | − | 6.20089i | −1.06478 | − | 0.205219i | ||||
\(914\) | 27.2572 | − | 2.60275i | 0.901589 | − | 0.0860913i | ||||
\(915\) | 0.475868 | − | 0.453739i | 0.0157317 | − | 0.0150001i | ||||
\(916\) | −4.75970 | − | 10.4223i | −0.157265 | − | 0.344362i | ||||
\(917\) | −3.11395 | − | 1.17574i | −0.102832 | − | 0.0388265i | ||||
\(918\) | −5.53716 | − | 3.55851i | −0.182753 | − | 0.117448i | ||||
\(919\) | −14.8518 | + | 25.7240i | −0.489915 | + | 0.848557i | −0.999933 | − | 0.0116066i | \(-0.996305\pi\) |
0.510018 | + | 0.860164i | \(0.329639\pi\) | |||||||
\(920\) | −7.99984 | − | 12.8899i | −0.263747 | − | 0.424966i | ||||
\(921\) | −1.28034 | − | 2.21761i | −0.0421886 | − | 0.0730728i | ||||
\(922\) | −22.1596 | + | 11.4241i | −0.729788 | + | 0.376232i | ||||
\(923\) | 9.14118 | + | 63.5783i | 0.300885 | + | 2.09270i | ||||
\(924\) | 2.29085 | + | 4.76461i | 0.0753634 | + | 0.156744i | ||||
\(925\) | 25.6449 | + | 7.53003i | 0.843200 | + | 0.247586i | ||||
\(926\) | −15.6542 | − | 21.9832i | −0.514428 | − | 0.722414i | ||||
\(927\) | 5.06247 | + | 0.975710i | 0.166273 | + | 0.0320465i | ||||
\(928\) | 6.93235 | − | 2.77529i | 0.227565 | − | 0.0911035i | ||||
\(929\) | −4.73173 | + | 19.5045i | −0.155243 | + | 0.639920i | 0.840008 | + | 0.542575i | \(0.182550\pi\) |
−0.995251 | + | 0.0973458i | \(0.968965\pi\) | |||||||
\(930\) | −4.47350 | − | 5.16269i | −0.146692 | − | 0.169291i | ||||
\(931\) | 0.492390 | + | 5.63566i | 0.0161374 | + | 0.184701i | ||||
\(932\) | −8.99933 | + | 5.78352i | −0.294783 | + | 0.189446i | ||||
\(933\) | −4.88671 | + | 0.941836i | −0.159984 | + | 0.0308343i | ||||
\(934\) | −14.8596 | − | 14.1686i | −0.486222 | − | 0.463612i | ||||
\(935\) | 18.6611 | − | 7.47079i | 0.610284 | − | 0.244321i | ||||
\(936\) | 4.41682 | + | 12.7616i | 0.144368 | + | 0.417125i | ||||
\(937\) | −11.5442 | + | 25.2782i | −0.377131 | + | 0.825802i | 0.621955 | + | 0.783053i | \(0.286339\pi\) |
−0.999086 | + | 0.0427489i | \(0.986388\pi\) | |||||||
\(938\) | −44.3711 | − | 12.0808i | −1.44877 | − | 0.394453i | ||||
\(939\) | 1.57771 | + | 3.45471i | 0.0514867 | + | 0.112740i | ||||
\(940\) | −6.36580 | − | 2.54848i | −0.207630 | − | 0.0831223i | ||||
\(941\) | 0.410042 | − | 8.60784i | 0.0133670 | − | 0.280608i | −0.982281 | − | 0.187414i | \(-0.939989\pi\) |
0.995648 | − | 0.0931937i | \(-0.0297076\pi\) | |||||||
\(942\) | 7.10555 | + | 12.3072i | 0.231511 | + | 0.400989i | ||||
\(943\) | −53.1783 | − | 19.3481i | −1.73172 | − | 0.630062i | ||||
\(944\) | 28.0970 | 0.914480 | ||||||||
\(945\) | −3.19795 | + | 1.72954i | −0.104029 | + | 0.0562618i | ||||
\(946\) | −2.76094 | − | 19.2027i | −0.0897659 | − | 0.624335i | ||||
\(947\) | 28.0667 | + | 2.68004i | 0.912044 | + | 0.0870896i | 0.540517 | − | 0.841333i | \(-0.318228\pi\) |
0.371526 | + | 0.928422i | \(0.378835\pi\) | |||||||
\(948\) | −1.91496 | − | 7.89356i | −0.0621949 | − | 0.256371i | ||||
\(949\) | 66.0617 | − | 6.30813i | 2.14445 | − | 0.204770i | ||||
\(950\) | −1.31644 | − | 3.80361i | −0.0427110 | − | 0.123405i | ||||
\(951\) | 1.10152 | − | 7.66124i | 0.0357192 | − | 0.248433i | ||||
\(952\) | −18.4650 | − | 16.9220i | −0.598454 | − | 0.548446i | ||||
\(953\) | −27.8121 | − | 32.0969i | −0.900922 | − | 1.03972i | −0.999008 | − | 0.0445412i | \(-0.985817\pi\) |
0.0980858 | − | 0.995178i | \(-0.468728\pi\) | |||||||
\(954\) | 0.0862546 | + | 1.81071i | 0.00279260 | + | 0.0586238i | ||||
\(955\) | 15.3180 | + | 7.89698i | 0.495679 | + | 0.255540i | ||||
\(956\) | −2.21864 | + | 6.41034i | −0.0717560 | + | 0.207325i | ||||
\(957\) | −2.02565 | + | 8.34986i | −0.0654801 | + | 0.269913i | ||||
\(958\) | −6.04110 | + | 42.0168i | −0.195179 | + | 1.35750i | ||||
\(959\) | −9.28829 | − | 1.60038i | −0.299935 | − | 0.0516788i | ||||
\(960\) | −2.66469 | + | 5.83485i | −0.0860024 | + | 0.188319i | ||||
\(961\) | −15.4540 | + | 14.7353i | −0.498516 | + | 0.475334i | ||||
\(962\) | 46.7813 | − | 65.6952i | 1.50829 | − | 2.11810i | ||||
\(963\) | −9.18641 | + | 7.22427i | −0.296028 | + | 0.232799i | ||||
\(964\) | −10.3164 | + | 5.31848i | −0.332269 | + | 0.171297i | ||||
\(965\) | 25.3330 | 0.815498 | ||||||||
\(966\) | 7.62385 | + | 18.8234i | 0.245293 | + | 0.605632i | ||||
\(967\) | −48.8298 | −1.57026 | −0.785130 | − | 0.619331i | \(-0.787404\pi\) | ||||
−0.785130 | + | 0.619331i | \(0.787404\pi\) | |||||||
\(968\) | −3.38141 | + | 1.74324i | −0.108682 | + | 0.0560297i | ||||
\(969\) | −2.61241 | + | 2.05442i | −0.0839226 | + | 0.0659975i | ||||
\(970\) | −17.9637 | + | 25.2264i | −0.576779 | + | 0.809972i | ||||
\(971\) | −3.95236 | + | 3.76857i | −0.126837 | + | 0.120939i | −0.750843 | − | 0.660481i | \(-0.770353\pi\) |
0.624006 | + | 0.781420i | \(0.285504\pi\) | |||||||
\(972\) | 0.233362 | − | 0.510992i | 0.00748509 | − | 0.0163901i | ||||
\(973\) | −0.304295 | + | 0.365536i | −0.00975525 | + | 0.0117186i | ||||
\(974\) | −3.49180 | + | 24.2860i | −0.111885 | + | 0.778175i | ||||
\(975\) | 4.30363 | − | 17.7398i | 0.137827 | − | 0.568129i | ||||
\(976\) | −0.752433 | + | 2.17401i | −0.0240848 | + | 0.0695885i | ||||
\(977\) | 18.2504 | + | 9.40875i | 0.583883 | + | 0.301013i | 0.724746 | − | 0.689016i | \(-0.241957\pi\) |
−0.140863 | + | 0.990029i | \(0.544988\pi\) | |||||||
\(978\) | 0.318131 | + | 6.67839i | 0.0101727 | + | 0.213551i | ||||
\(979\) | 2.99934 | + | 3.46143i | 0.0958594 | + | 0.110628i | ||||
\(980\) | 5.12046 | − | 1.72617i | 0.163567 | − | 0.0551406i | ||||
\(981\) | 2.41405 | − | 16.7901i | 0.0770747 | − | 0.536066i | ||||
\(982\) | 5.36613 | + | 15.5044i | 0.171240 | + | 0.494766i | ||||
\(983\) | 33.3718 | − | 3.18662i | 1.06440 | − | 0.101638i | 0.451867 | − | 0.892085i | \(-0.350758\pi\) |
0.612529 | + | 0.790448i | \(0.290152\pi\) | |||||||
\(984\) | 6.40377 | + | 26.3967i | 0.204145 | + | 0.841496i | ||||
\(985\) | 26.8363 | + | 2.56256i | 0.855076 | + | 0.0816499i | ||||
\(986\) | 2.26265 | + | 15.7371i | 0.0720574 | + | 0.501170i | ||||
\(987\) | −20.0182 | − | 12.3125i | −0.637186 | − | 0.391912i | ||||
\(988\) | −2.66328 | −0.0847301 | ||||||||
\(989\) | −1.29707 | − | 16.2907i | −0.0412443 | − | 0.518013i | ||||
\(990\) | 3.91170 | + | 6.77526i | 0.124322 | + | 0.215332i | ||||
\(991\) | 0.514556 | − | 10.8018i | 0.0163454 | − | 0.343132i | −0.975850 | − | 0.218441i | \(-0.929903\pi\) |
0.992196 | − | 0.124691i | \(-0.0397940\pi\) | |||||||
\(992\) | 8.91388 | + | 3.56858i | 0.283016 | + | 0.113303i | ||||
\(993\) | −11.8616 | − | 25.9733i | −0.376416 | − | 0.824236i | ||||
\(994\) | 32.9174 | − | 32.6535i | 1.04408 | − | 1.03571i | ||||
\(995\) | −13.3503 | + | 29.2331i | −0.423233 | + | 0.926750i | ||||
\(996\) | −1.69243 | − | 4.88996i | −0.0536267 | − | 0.154944i | ||||
\(997\) | −28.0446 | + | 11.2273i | −0.888180 | + | 0.355574i | −0.770472 | − | 0.637474i | \(-0.779979\pi\) |
−0.117709 | + | 0.993048i | \(0.537555\pi\) | |||||||
\(998\) | −18.2261 | − | 17.3786i | −0.576938 | − | 0.550110i | ||||
\(999\) | 8.43418 | − | 1.62555i | 0.266846 | − | 0.0514303i |
(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 | 483.2.y.b.163.13 | yes | 320 | |
7.4 | even | 3 | inner | 483.2.y.b.25.4 | ✓ | 320 | |
23.12 | even | 11 | inner | 483.2.y.b.58.4 | yes | 320 | |
161.81 | even | 33 | inner | 483.2.y.b.403.13 | yes | 320 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
483.2.y.b.25.4 | ✓ | 320 | 7.4 | even | 3 | inner | |
483.2.y.b.58.4 | yes | 320 | 23.12 | even | 11 | inner | |
483.2.y.b.163.13 | yes | 320 | 1.1 | even | 1 | trivial | |
483.2.y.b.403.13 | yes | 320 | 161.81 | even | 33 | inner |