Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [731,2,Mod(67,731)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(731, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([21, 40]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("731.67");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 731 = 17 \cdot 43 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 731.z (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.83706438776\) |
Analytic rank: | \(0\) |
Dimension: | \(768\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 67.1 | ||
Character | \(\chi\) | \(=\) | 731.67 |
Dual form | 731.2.z.a.611.1 |
$q$-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 \(\left(\mathbb{Z}/731\mathbb{Z}\right)^\times\).
\(n\) | \(173\) | \(562\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{20}{21}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.69621 | + | 2.12698i | −1.19940 | + | 1.50400i | −0.385792 | + | 0.922586i | \(0.626072\pi\) |
−0.813608 | + | 0.581414i | \(0.802500\pi\) | |||||||
\(3\) | −0.339828 | − | 2.25461i | −0.196200 | − | 1.30170i | −0.842533 | − | 0.538644i | \(-0.818937\pi\) |
0.646334 | − | 0.763055i | \(-0.276301\pi\) | |||||||
\(4\) | −1.20187 | − | 5.26573i | −0.600935 | − | 2.63287i | ||||
\(5\) | 0.0789863 | + | 0.115852i | 0.0353238 | + | 0.0518104i | 0.843494 | − | 0.537138i | \(-0.180495\pi\) |
−0.808171 | + | 0.588948i | \(0.799542\pi\) | |||||||
\(6\) | 5.37192 | + | 3.10148i | 2.19308 | + | 1.26617i | ||||
\(7\) | −0.309020 | + | 0.178413i | −0.116799 | + | 0.0674338i | −0.557261 | − | 0.830337i | \(-0.688148\pi\) |
0.440463 | + | 0.897771i | \(0.354814\pi\) | |||||||
\(8\) | 8.33653 | + | 4.01466i | 2.94741 | + | 1.41940i | ||||
\(9\) | −2.10106 | + | 0.648091i | −0.700353 | + | 0.216030i | ||||
\(10\) | −0.380391 | − | 0.0285064i | −0.120290 | − | 0.00901450i | ||||
\(11\) | −3.60912 | − | 0.823758i | −1.08819 | − | 0.248372i | −0.359451 | − | 0.933164i | \(-0.617036\pi\) |
−0.728739 | + | 0.684792i | \(0.759893\pi\) | |||||||
\(12\) | −11.4637 | + | 4.49919i | −3.30930 | + | 1.29880i | ||||
\(13\) | 0.376466 | + | 5.02359i | 0.104413 | + | 1.39329i | 0.765718 | + | 0.643176i | \(0.222384\pi\) |
−0.661305 | + | 0.750117i | \(0.729997\pi\) | |||||||
\(14\) | 0.144682 | − | 0.959905i | 0.0386680 | − | 0.256545i | ||||
\(15\) | 0.234358 | − | 0.217453i | 0.0605111 | − | 0.0561461i | ||||
\(16\) | −12.9471 | + | 6.23497i | −3.23676 | + | 1.55874i | ||||
\(17\) | −0.731478 | + | 4.05770i | −0.177410 | + | 0.984137i | ||||
\(18\) | 2.18536 | − | 5.56820i | 0.515094 | − | 1.31244i | ||||
\(19\) | 6.96983 | + | 2.14991i | 1.59899 | + | 0.493223i | 0.960936 | − | 0.276770i | \(-0.0892639\pi\) |
0.638053 | + | 0.769992i | \(0.279740\pi\) | |||||||
\(20\) | 0.515113 | − | 0.555159i | 0.115183 | − | 0.124137i | ||||
\(21\) | 0.507265 | + | 0.636090i | 0.110694 | + | 0.138806i | ||||
\(22\) | 7.87393 | − | 6.27925i | 1.67873 | − | 1.33874i | ||||
\(23\) | −4.15616 | + | 4.47928i | −0.866620 | + | 0.933994i | −0.998358 | − | 0.0572906i | \(-0.981754\pi\) |
0.131738 | + | 0.991285i | \(0.457944\pi\) | |||||||
\(24\) | 6.21851 | − | 20.1599i | 1.26935 | − | 4.11513i | ||||
\(25\) | 1.81952 | − | 4.63607i | 0.363904 | − | 0.927213i | ||||
\(26\) | −11.3236 | − | 7.72032i | −2.22075 | − | 1.51408i | ||||
\(27\) | −0.792673 | − | 1.64600i | −0.152550 | − | 0.316773i | ||||
\(28\) | 1.31088 | + | 1.41279i | 0.247733 | + | 0.266992i | ||||
\(29\) | 0.915033 | − | 6.07085i | 0.169917 | − | 1.12733i | −0.727488 | − | 0.686121i | \(-0.759312\pi\) |
0.897405 | − | 0.441207i | \(-0.145450\pi\) | |||||||
\(30\) | 0.0649967 | + | 0.867320i | 0.0118667 | + | 0.158350i | ||||
\(31\) | 8.32384 | − | 3.26687i | 1.49501 | − | 0.586746i | 0.529773 | − | 0.848139i | \(-0.322277\pi\) |
0.965232 | + | 0.261393i | \(0.0841818\pi\) | |||||||
\(32\) | 4.58134 | − | 20.0722i | 0.809874 | − | 3.54829i | ||||
\(33\) | −0.630773 | + | 8.41709i | −0.109804 | + | 1.46523i | ||||
\(34\) | −7.38990 | − | 8.43854i | −1.26736 | − | 1.44720i | ||||
\(35\) | −0.0450778 | − | 0.0217083i | −0.00761954 | − | 0.00366938i | ||||
\(36\) | 5.93787 | + | 10.2847i | 0.989646 | + | 1.71412i | ||||
\(37\) | 6.18125 | + | 3.56874i | 1.01619 | + | 0.586698i | 0.912998 | − | 0.407963i | \(-0.133761\pi\) |
0.103192 | + | 0.994661i | \(0.467094\pi\) | |||||||
\(38\) | −16.3951 | + | 11.1780i | −2.65963 | + | 1.81331i | ||||
\(39\) | 11.1983 | − | 2.55594i | 1.79316 | − | 0.409278i | ||||
\(40\) | 0.193367 | + | 1.28290i | 0.0305740 | + | 0.202845i | ||||
\(41\) | 3.91499 | + | 3.12210i | 0.611419 | + | 0.487590i | 0.879559 | − | 0.475790i | \(-0.157838\pi\) |
−0.268140 | + | 0.963380i | \(0.586409\pi\) | |||||||
\(42\) | −2.21338 | −0.341531 | ||||||||
\(43\) | 6.39212 | + | 1.46313i | 0.974790 | + | 0.223125i | ||||
\(44\) | 19.9947i | 3.01432i | ||||||||
\(45\) | −0.241037 | − | 0.192221i | −0.0359317 | − | 0.0286546i | ||||
\(46\) | −2.47761 | − | 16.4378i | −0.365303 | − | 2.42363i | ||||
\(47\) | −1.53957 | − | 6.74531i | −0.224570 | − | 0.983904i | −0.953990 | − | 0.299838i | \(-0.903067\pi\) |
0.729420 | − | 0.684066i | \(-0.239790\pi\) | |||||||
\(48\) | 18.4572 | + | 27.0717i | 2.66407 | + | 3.90747i | ||||
\(49\) | −3.43634 | + | 5.95191i | −0.490905 | + | 0.850273i | ||||
\(50\) | 6.77452 | + | 11.7338i | 0.958062 | + | 1.65941i | ||||
\(51\) | 9.39711 | + | 0.270278i | 1.31586 | + | 0.0378465i | ||||
\(52\) | 26.0004 | − | 8.02007i | 3.60561 | − | 1.11218i | ||||
\(53\) | 0.152400 | − | 2.03364i | 0.0209338 | − | 0.279342i | −0.976907 | − | 0.213665i | \(-0.931460\pi\) |
0.997841 | − | 0.0656776i | \(-0.0209209\pi\) | |||||||
\(54\) | 4.84555 | + | 1.10596i | 0.659396 | + | 0.150503i | ||||
\(55\) | −0.189637 | − | 0.483188i | −0.0255707 | − | 0.0651530i | ||||
\(56\) | −3.29243 | + | 0.246733i | −0.439969 | + | 0.0329711i | ||||
\(57\) | 2.47866 | − | 16.4448i | 0.328307 | − | 2.17817i | ||||
\(58\) | 11.3605 | + | 12.2437i | 1.49170 | + | 1.60767i | ||||
\(59\) | 2.69082 | − | 1.29583i | 0.350314 | − | 0.168703i | −0.250448 | − | 0.968130i | \(-0.580578\pi\) |
0.600763 | + | 0.799427i | \(0.294864\pi\) | |||||||
\(60\) | −1.42672 | − | 0.972719i | −0.184188 | − | 0.125577i | ||||
\(61\) | −6.59561 | − | 2.58859i | −0.844482 | − | 0.331435i | −0.0966462 | − | 0.995319i | \(-0.530812\pi\) |
−0.747835 | + | 0.663884i | \(0.768907\pi\) | |||||||
\(62\) | −7.17041 | + | 23.2459i | −0.910643 | + | 2.95223i | ||||
\(63\) | 0.533642 | − | 0.575130i | 0.0672326 | − | 0.0724595i | ||||
\(64\) | 17.0028 | + | 21.3209i | 2.12535 | + | 2.66511i | ||||
\(65\) | −0.552255 | + | 0.440409i | −0.0684989 | + | 0.0546260i | ||||
\(66\) | −16.8330 | − | 15.6188i | −2.07200 | − | 1.92254i | ||||
\(67\) | 2.95737 | + | 0.912226i | 0.361300 | + | 0.111446i | 0.470090 | − | 0.882619i | \(-0.344221\pi\) |
−0.108790 | + | 0.994065i | \(0.534698\pi\) | |||||||
\(68\) | 22.2459 | − | 1.02506i | 2.69771 | − | 0.124307i | ||||
\(69\) | 11.5114 | + | 7.84834i | 1.38581 | + | 0.944829i | ||||
\(70\) | 0.122634 | − | 0.0590577i | 0.0146576 | − | 0.00705874i | ||||
\(71\) | 4.67783 | + | 5.04150i | 0.555156 | + | 0.598316i | 0.946809 | − | 0.321797i | \(-0.104287\pi\) |
−0.391653 | + | 0.920113i | \(0.628096\pi\) | |||||||
\(72\) | −20.1174 | − | 3.03221i | −2.37086 | − | 0.357350i | ||||
\(73\) | −5.47629 | + | 0.410392i | −0.640952 | + | 0.0480327i | −0.391242 | − | 0.920288i | \(-0.627954\pi\) |
−0.249710 | + | 0.968321i | \(0.580335\pi\) | |||||||
\(74\) | −18.0753 | + | 7.09404i | −2.10121 | + | 0.824665i | ||||
\(75\) | −11.0708 | − | 2.52685i | −1.27835 | − | 0.291775i | ||||
\(76\) | 2.94402 | − | 39.2852i | 0.337702 | − | 4.50632i | ||||
\(77\) | 1.26226 | − | 0.389356i | 0.143848 | − | 0.0443712i | ||||
\(78\) | −13.5582 | + | 28.1539i | −1.53517 | + | 3.18780i | ||||
\(79\) | 8.56665 | − | 4.94596i | 0.963824 | − | 0.556464i | 0.0664760 | − | 0.997788i | \(-0.478824\pi\) |
0.897348 | + | 0.441324i | \(0.145491\pi\) | |||||||
\(80\) | −1.74497 | − | 1.00746i | −0.195094 | − | 0.112637i | ||||
\(81\) | −8.89178 | + | 6.06231i | −0.987976 | + | 0.673590i | ||||
\(82\) | −13.2813 | + | 3.03137i | −1.46667 | + | 0.334758i | ||||
\(83\) | 1.14405 | − | 0.172438i | 0.125576 | − | 0.0189275i | −0.0859535 | − | 0.996299i | \(-0.527394\pi\) |
0.211529 | + | 0.977372i | \(0.432156\pi\) | |||||||
\(84\) | 2.73982 | − | 3.43562i | 0.298938 | − | 0.374857i | ||||
\(85\) | −0.527868 | + | 0.235760i | −0.0572553 | + | 0.0255718i | ||||
\(86\) | −13.9544 | + | 11.1141i | −1.50474 | + | 1.19847i | ||||
\(87\) | −13.9983 | −1.50078 | ||||||||
\(88\) | −26.7804 | − | 21.3567i | −2.85480 | − | 2.27663i | ||||
\(89\) | −0.00618332 | 0.000931985i | −0.000655430 | 9.87902e-5i | −0.149370 | − | 0.988781i | \(-0.547725\pi\) | ||
0.148715 | + | 0.988880i | \(0.452486\pi\) | |||||||
\(90\) | 0.817699 | − | 0.186634i | 0.0861930 | − | 0.0196730i | ||||
\(91\) | −1.01261 | − | 1.48523i | −0.106150 | − | 0.155694i | ||||
\(92\) | 28.5819 | + | 16.5017i | 2.97986 | + | 1.72043i | ||||
\(93\) | −10.1942 | − | 17.6568i | −1.05709 | − | 1.83093i | ||||
\(94\) | 16.9586 | + | 8.16681i | 1.74914 | + | 0.842342i | ||||
\(95\) | 0.301451 | + | 0.977280i | 0.0309282 | + | 0.100267i | ||||
\(96\) | −46.8117 | − | 3.50805i | −4.77770 | − | 0.358039i | ||||
\(97\) | 2.14843 | + | 0.490364i | 0.218140 | + | 0.0497889i | 0.330194 | − | 0.943913i | \(-0.392886\pi\) |
−0.112054 | + | 0.993702i | \(0.535743\pi\) | |||||||
\(98\) | −6.83084 | − | 17.4047i | −0.690019 | − | 1.75814i | ||||
\(99\) | 8.11684 | − | 0.608273i | 0.815773 | − | 0.0611338i | ||||
\(100\) | −26.5991 | − | 4.00917i | −2.65991 | − | 0.400917i | ||||
\(101\) | −0.391582 | + | 0.363335i | −0.0389638 | + | 0.0361531i | −0.699414 | − | 0.714716i | \(-0.746556\pi\) |
0.660451 | + | 0.750870i | \(0.270365\pi\) | |||||||
\(102\) | −16.5143 | + | 19.5290i | −1.63516 | + | 1.93366i | ||||
\(103\) | 2.09547 | + | 1.42867i | 0.206473 | + | 0.140771i | 0.662142 | − | 0.749378i | \(-0.269648\pi\) |
−0.455669 | + | 0.890149i | \(0.650600\pi\) | |||||||
\(104\) | −17.0296 | + | 43.3907i | −1.66989 | + | 4.25481i | ||||
\(105\) | −0.0336251 | + | 0.109010i | −0.00328148 | + | 0.0106383i | ||||
\(106\) | 4.06701 | + | 3.77363i | 0.395023 | + | 0.366527i | ||||
\(107\) | 11.0566 | − | 8.81735i | 1.06888 | − | 0.852405i | 0.0793690 | − | 0.996845i | \(-0.474709\pi\) |
0.989514 | + | 0.144440i | \(0.0461380\pi\) | |||||||
\(108\) | −7.71472 | + | 6.15229i | −0.742350 | + | 0.592004i | ||||
\(109\) | 4.06261 | − | 4.37845i | 0.389127 | − | 0.419379i | −0.507857 | − | 0.861441i | \(-0.669562\pi\) |
0.896985 | + | 0.442062i | \(0.145753\pi\) | |||||||
\(110\) | 1.34939 | + | 0.416233i | 0.128660 | + | 0.0396862i | ||||
\(111\) | 5.94556 | − | 15.1490i | 0.564328 | − | 1.43788i | ||||
\(112\) | 2.88850 | − | 4.23666i | 0.272938 | − | 0.400326i | ||||
\(113\) | 6.23250 | + | 12.9419i | 0.586304 | + | 1.21747i | 0.957369 | + | 0.288866i | \(0.0932783\pi\) |
−0.371065 | + | 0.928607i | \(0.621007\pi\) | |||||||
\(114\) | 30.7735 | + | 33.1659i | 2.88220 | + | 3.10627i | ||||
\(115\) | −0.847212 | − | 0.127697i | −0.0790029 | − | 0.0119078i | ||||
\(116\) | −33.0672 | + | 2.47805i | −3.07021 | + | 0.230081i | ||||
\(117\) | −4.04672 | − | 10.3109i | −0.374119 | − | 0.953241i | ||||
\(118\) | −1.80798 | + | 7.92130i | −0.166438 | + | 0.729215i | ||||
\(119\) | −0.497905 | − | 1.38442i | −0.0456429 | − | 0.126909i | ||||
\(120\) | 2.82674 | − | 0.871933i | 0.258045 | − | 0.0795962i | ||||
\(121\) | 2.43650 | + | 1.17336i | 0.221500 | + | 0.106669i | ||||
\(122\) | 16.6934 | − | 9.63793i | 1.51135 | − | 0.872578i | ||||
\(123\) | 5.70870 | − | 9.88775i | 0.514736 | − | 0.891549i | ||||
\(124\) | −27.2066 | − | 39.9048i | −2.44323 | − | 3.58355i | ||||
\(125\) | 1.36431 | − | 0.311396i | 0.122028 | − | 0.0278521i | ||||
\(126\) | 0.318119 | + | 2.11058i | 0.0283403 | + | 0.188026i | ||||
\(127\) | −0.503188 | + | 0.630977i | −0.0446507 | + | 0.0559902i | −0.803655 | − | 0.595095i | \(-0.797114\pi\) |
0.759005 | + | 0.651085i | \(0.225686\pi\) | |||||||
\(128\) | −33.0127 | −2.91794 | ||||||||
\(129\) | 1.12656 | − | 14.9090i | 0.0991884 | − | 1.31266i | ||||
\(130\) | − | 1.92166i | − | 0.168541i | ||||||
\(131\) | 0.128801 | + | 0.102716i | 0.0112534 | + | 0.00897431i | 0.629100 | − | 0.777324i | \(-0.283423\pi\) |
−0.617847 | + | 0.786298i | \(0.711995\pi\) | |||||||
\(132\) | 45.0802 | − | 6.79475i | 3.92373 | − | 0.591407i | ||||
\(133\) | −2.53739 | + | 0.579143i | −0.220020 | + | 0.0502181i | ||||
\(134\) | −6.95659 | + | 4.74292i | −0.600958 | + | 0.409726i | ||||
\(135\) | 0.128082 | − | 0.221844i | 0.0110235 | − | 0.0190933i | ||||
\(136\) | −22.3883 | + | 30.8905i | −1.91978 | + | 2.64884i | ||||
\(137\) | 16.9906 | + | 8.18225i | 1.45161 | + | 0.699057i | 0.982873 | − | 0.184283i | \(-0.0589964\pi\) |
0.468733 | + | 0.883340i | \(0.344711\pi\) | |||||||
\(138\) | −36.2190 | + | 11.1721i | −3.08316 | + | 0.951030i | ||||
\(139\) | 3.07109 | + | 0.230147i | 0.260487 | + | 0.0195208i | 0.204333 | − | 0.978901i | \(-0.434497\pi\) |
0.0561535 | + | 0.998422i | \(0.482116\pi\) | |||||||
\(140\) | −0.0601327 | + | 0.263458i | −0.00508214 | + | 0.0222663i | ||||
\(141\) | −14.6848 | + | 5.76338i | −1.23669 | + | 0.485364i | ||||
\(142\) | −18.6577 | + | 1.39820i | −1.56572 | + | 0.117335i | ||||
\(143\) | 2.77951 | − | 18.4408i | 0.232434 | − | 1.54210i | ||||
\(144\) | 23.1617 | − | 21.4909i | 1.93014 | − | 1.79091i | ||||
\(145\) | 0.775593 | − | 0.373506i | 0.0644095 | − | 0.0310180i | ||||
\(146\) | 8.41604 | − | 12.3441i | 0.696516 | − | 1.02160i | ||||
\(147\) | 14.5870 | + | 5.72497i | 1.20311 | + | 0.472188i | ||||
\(148\) | 11.3630 | − | 36.8380i | 0.934033 | − | 3.02806i | ||||
\(149\) | 16.9676 | + | 15.7436i | 1.39004 | + | 1.28977i | 0.911258 | + | 0.411837i | \(0.135113\pi\) |
0.478783 | + | 0.877933i | \(0.341078\pi\) | |||||||
\(150\) | 24.1530 | − | 19.2614i | 1.97208 | − | 1.57268i | ||||
\(151\) | 3.43227 | + | 4.30394i | 0.279315 | + | 0.350249i | 0.901623 | − | 0.432523i | \(-0.142376\pi\) |
−0.622308 | + | 0.782772i | \(0.713805\pi\) | |||||||
\(152\) | 49.4731 | + | 45.9043i | 4.01280 | + | 3.72333i | ||||
\(153\) | −1.09288 | − | 8.99954i | −0.0883542 | − | 0.727569i | ||||
\(154\) | −1.31290 | + | 3.34523i | −0.105797 | + | 0.269566i | ||||
\(155\) | 1.03594 | + | 0.706293i | 0.0832088 | + | 0.0567308i | ||||
\(156\) | −26.9178 | − | 55.8953i | −2.15515 | − | 4.47521i | ||||
\(157\) | −10.0424 | + | 9.31802i | −0.801474 | + | 0.743659i | −0.970279 | − | 0.241990i | \(-0.922200\pi\) |
0.168805 | + | 0.985649i | \(0.446009\pi\) | |||||||
\(158\) | −4.01088 | + | 26.6104i | −0.319088 | + | 2.11701i | ||||
\(159\) | −4.63686 | + | 0.347484i | −0.367727 | + | 0.0275573i | ||||
\(160\) | 2.68725 | − | 1.05467i | 0.212446 | − | 0.0833790i | ||||
\(161\) | 0.485178 | − | 2.12570i | 0.0382373 | − | 0.167529i | ||||
\(162\) | 2.18790 | − | 29.1956i | 0.171898 | − | 2.29382i | ||||
\(163\) | 4.93622 | + | 16.0028i | 0.386635 | + | 1.25344i | 0.914665 | + | 0.404213i | \(0.132455\pi\) |
−0.528030 | + | 0.849226i | \(0.677069\pi\) | |||||||
\(164\) | 11.7348 | − | 24.3677i | 0.916338 | − | 1.90280i | ||||
\(165\) | −1.02496 | + | 0.591758i | −0.0797927 | + | 0.0460683i | ||||
\(166\) | −1.57378 | + | 2.72586i | −0.122149 | + | 0.211568i | ||||
\(167\) | 4.87102 | + | 7.14447i | 0.376931 | + | 0.552856i | 0.967091 | − | 0.254430i | \(-0.0818879\pi\) |
−0.590161 | + | 0.807286i | \(0.700936\pi\) | |||||||
\(168\) | 1.67514 | + | 7.33929i | 0.129240 | + | 0.566238i | ||||
\(169\) | −12.2399 | + | 1.84487i | −0.941533 | + | 0.141913i | ||||
\(170\) | 0.393918 | − | 1.52266i | 0.0302121 | − | 0.116783i | ||||
\(171\) | −16.0374 | −1.22641 | ||||||||
\(172\) | 0.0219514 | − | 35.4177i | 0.00167378 | − | 2.70058i | ||||
\(173\) | 23.2933i | 1.77096i | 0.464682 | + | 0.885478i | \(0.346169\pi\) | ||||
−0.464682 | + | 0.885478i | \(0.653831\pi\) | |||||||
\(174\) | 23.7441 | − | 29.7741i | 1.80003 | − | 2.25717i | ||||
\(175\) | 0.264865 | + | 1.75727i | 0.0200219 | + | 0.132837i | ||||
\(176\) | 51.8635 | − | 11.8375i | 3.90936 | − | 0.892286i | ||||
\(177\) | −3.83600 | − | 5.62638i | −0.288331 | − | 0.422905i | ||||
\(178\) | 0.00850588 | − | 0.0147326i | 0.000637543 | − | 0.00110426i | ||||
\(179\) | −6.14412 | − | 10.6419i | −0.459233 | − | 0.795415i | 0.539687 | − | 0.841866i | \(-0.318542\pi\) |
−0.998921 | + | 0.0464501i | \(0.985209\pi\) | |||||||
\(180\) | −0.722489 | + | 1.50026i | −0.0538511 | + | 0.111823i | ||||
\(181\) | −2.63475 | − | 8.54165i | −0.195840 | − | 0.634896i | −0.999222 | − | 0.0394331i | \(-0.987445\pi\) |
0.803383 | − | 0.595463i | \(-0.203031\pi\) | |||||||
\(182\) | 4.87664 | + | 0.365453i | 0.361480 | + | 0.0270892i | ||||
\(183\) | −3.59488 | + | 15.7502i | −0.265741 | + | 1.16429i | ||||
\(184\) | −52.6308 | + | 20.6561i | −3.87999 | + | 1.52278i | ||||
\(185\) | 0.0747890 | + | 0.997989i | 0.00549859 | + | 0.0733736i | ||||
\(186\) | 54.8471 | + | 8.26687i | 4.02159 | + | 0.606156i | ||||
\(187\) | 5.98255 | − | 14.0422i | 0.437488 | − | 1.02686i | ||||
\(188\) | −33.6686 | + | 16.2140i | −2.45554 | + | 1.18252i | ||||
\(189\) | 0.538621 | + | 0.367225i | 0.0391789 | + | 0.0267117i | ||||
\(190\) | −2.58998 | − | 1.01649i | −0.187897 | − | 0.0737440i | ||||
\(191\) | −14.6643 | − | 4.52334i | −1.06107 | − | 0.327298i | −0.285384 | − | 0.958413i | \(-0.592121\pi\) |
−0.775689 | + | 0.631116i | \(0.782597\pi\) | |||||||
\(192\) | 42.2922 | − | 45.5802i | 3.05218 | − | 3.28947i | ||||
\(193\) | 16.5273 | − | 13.1801i | 1.18966 | − | 0.948722i | 0.190205 | − | 0.981744i | \(-0.439085\pi\) |
0.999455 | + | 0.0330224i | \(0.0105133\pi\) | |||||||
\(194\) | −4.68717 | + | 3.73789i | −0.336519 | + | 0.268365i | ||||
\(195\) | 1.18062 | + | 1.09546i | 0.0845461 | + | 0.0784473i | ||||
\(196\) | 35.4712 | + | 10.9414i | 2.53366 | + | 0.781530i | ||||
\(197\) | −17.6274 | − | 6.91825i | −1.25590 | − | 0.492905i | −0.358256 | − | 0.933623i | \(-0.616629\pi\) |
−0.897646 | + | 0.440718i | \(0.854724\pi\) | |||||||
\(198\) | −12.4741 | + | 18.2961i | −0.886493 | + | 1.30025i | ||||
\(199\) | −1.58942 | − | 3.30047i | −0.112671 | − | 0.233964i | 0.837006 | − | 0.547193i | \(-0.184304\pi\) |
−0.949678 | + | 0.313229i | \(0.898589\pi\) | |||||||
\(200\) | 33.7808 | − | 31.3440i | 2.38866 | − | 2.21635i | ||||
\(201\) | 1.05172 | − | 6.97770i | 0.0741826 | − | 0.492169i | ||||
\(202\) | −0.108601 | − | 1.44918i | −0.00764112 | − | 0.101964i | ||||
\(203\) | 0.800354 | + | 2.03927i | 0.0561739 | + | 0.143129i | ||||
\(204\) | −9.87088 | − | 49.8075i | −0.691100 | − | 3.48722i | ||||
\(205\) | −0.0524699 | + | 0.700162i | −0.00366465 | + | 0.0489014i | ||||
\(206\) | −6.59310 | + | 2.03370i | −0.459363 | + | 0.141695i | ||||
\(207\) | 5.82936 | − | 12.1048i | 0.405169 | − | 0.841342i | ||||
\(208\) | −36.1961 | − | 62.6934i | −2.50975 | − | 4.34701i | ||||
\(209\) | −23.3839 | − | 13.5007i | −1.61750 | − | 0.933865i | ||||
\(210\) | −0.174826 | − | 0.256423i | −0.0120642 | − | 0.0176949i | ||||
\(211\) | 17.5270 | − | 4.00042i | 1.20661 | − | 0.275400i | 0.428507 | − | 0.903539i | \(-0.359040\pi\) |
0.778102 | + | 0.628138i | \(0.216183\pi\) | |||||||
\(212\) | −10.8918 | + | 1.64167i | −0.748051 | + | 0.112750i | ||||
\(213\) | 9.77695 | − | 12.2599i | 0.669906 | − | 0.840035i | ||||
\(214\) | 38.4732i | 2.62997i | ||||||||
\(215\) | 0.335384 | + | 0.856105i | 0.0228730 | + | 0.0583859i | ||||
\(216\) | − | 16.9043i | − | 1.15019i | ||||||
\(217\) | −1.98938 | + | 2.49461i | −0.135048 | + | 0.169345i | ||||
\(218\) | 2.42184 | + | 16.0678i | 0.164027 | + | 1.08825i | ||||
\(219\) | 2.78627 | + | 12.2074i | 0.188279 | + | 0.824902i | ||||
\(220\) | −2.31642 | + | 1.57931i | −0.156173 | + | 0.106477i | ||||
\(221\) | −20.6596 | − | 2.14706i | −1.38972 | − | 0.144427i | ||||
\(222\) | 22.1368 | + | 38.3420i | 1.48572 | + | 2.57335i | ||||
\(223\) | −3.70354 | − | 1.78353i | −0.248007 | − | 0.119434i | 0.305751 | − | 0.952112i | \(-0.401093\pi\) |
−0.553758 | + | 0.832678i | \(0.686807\pi\) | |||||||
\(224\) | 2.16541 | + | 7.02007i | 0.144682 | + | 0.469048i | ||||
\(225\) | −0.818331 | + | 10.9199i | −0.0545554 | + | 0.727991i | ||||
\(226\) | −38.0988 | − | 8.69580i | −2.53429 | − | 0.578436i | ||||
\(227\) | −7.99202 | + | 3.13664i | −0.530449 | + | 0.208186i | −0.615423 | − | 0.788197i | \(-0.711015\pi\) |
0.0849736 | + | 0.996383i | \(0.472919\pi\) | |||||||
\(228\) | −89.5732 | + | 6.71258i | −5.93213 | + | 0.444552i | ||||
\(229\) | 0.782579 | + | 0.117955i | 0.0517143 | + | 0.00779467i | 0.174848 | − | 0.984595i | \(-0.444056\pi\) |
−0.123134 | + | 0.992390i | \(0.539295\pi\) | |||||||
\(230\) | 1.70865 | − | 1.58540i | 0.112665 | − | 0.104538i | ||||
\(231\) | −1.30680 | − | 2.71359i | −0.0859808 | − | 0.178541i | ||||
\(232\) | 32.0006 | − | 46.9363i | 2.10094 | − | 3.08152i | ||||
\(233\) | −9.28551 | − | 3.64429i | −0.608314 | − | 0.238746i | 0.0411317 | − | 0.999154i | \(-0.486904\pi\) |
−0.649445 | + | 0.760408i | \(0.724999\pi\) | |||||||
\(234\) | 28.7951 | + | 8.88211i | 1.88239 | + | 0.580641i | ||||
\(235\) | 0.659850 | − | 0.711149i | 0.0430439 | − | 0.0463902i | ||||
\(236\) | −10.0575 | − | 12.6117i | −0.654687 | − | 0.820952i | ||||
\(237\) | −14.0624 | − | 17.6337i | −0.913450 | − | 1.14543i | ||||
\(238\) | 3.78918 | + | 1.28923i | 0.245616 | + | 0.0835682i | ||||
\(239\) | −18.4588 | − | 5.69378i | −1.19400 | − | 0.368300i | −0.366848 | − | 0.930281i | \(-0.619563\pi\) |
−0.827150 | + | 0.561981i | \(0.810039\pi\) | |||||||
\(240\) | −1.67844 | + | 4.27659i | −0.108343 | + | 0.276053i | ||||
\(241\) | −16.8354 | + | 24.6930i | −1.08446 | + | 1.59062i | −0.318281 | + | 0.947996i | \(0.603106\pi\) |
−0.766184 | + | 0.642622i | \(0.777847\pi\) | |||||||
\(242\) | −6.62852 | + | 3.19212i | −0.426097 | + | 0.205198i | ||||
\(243\) | 12.9619 | + | 13.9697i | 0.831509 | + | 0.896154i | ||||
\(244\) | −5.70375 | + | 37.8419i | −0.365145 | + | 2.42258i | ||||
\(245\) | −0.960962 | + | 0.0720142i | −0.0613936 | + | 0.00460082i | ||||
\(246\) | 11.3479 | + | 28.9139i | 0.723515 | + | 1.84349i | ||||
\(247\) | −8.17635 | + | 35.8229i | −0.520249 | + | 2.27936i | ||||
\(248\) | 82.5073 | + | 6.18307i | 5.23922 | + | 0.392625i | ||||
\(249\) | −0.777561 | − | 2.52079i | −0.0492759 | − | 0.159749i | ||||
\(250\) | −1.65183 | + | 3.43006i | −0.104471 | + | 0.216936i | ||||
\(251\) | 5.43588 | + | 9.41522i | 0.343110 | + | 0.594284i | 0.985008 | − | 0.172506i | \(-0.0551864\pi\) |
−0.641899 | + | 0.766789i | \(0.721853\pi\) | |||||||
\(252\) | −3.66985 | − | 2.11879i | −0.231179 | − | 0.133471i | ||||
\(253\) | 18.6899 | − | 12.7426i | 1.17503 | − | 0.801119i | ||||
\(254\) | −0.488564 | − | 2.14054i | −0.0306552 | − | 0.134309i | ||||
\(255\) | 0.710931 | + | 1.11002i | 0.0445202 | + | 0.0695120i | ||||
\(256\) | 21.9907 | − | 27.5754i | 1.37442 | − | 1.72347i | ||||
\(257\) | 18.1398 | 1.13153 | 0.565763 | − | 0.824568i | \(-0.308582\pi\) | ||||
0.565763 | + | 0.824568i | \(0.308582\pi\) | |||||||
\(258\) | 29.8001 | + | 27.6849i | 1.85527 | + | 1.72358i | ||||
\(259\) | −2.54684 | −0.158253 | ||||||||
\(260\) | 2.98282 | + | 2.37872i | 0.184986 | + | 0.147522i | ||||
\(261\) | 2.01192 | + | 13.3482i | 0.124535 | + | 0.826235i | ||||
\(262\) | −0.436948 | + | 0.0997305i | −0.0269947 | + | 0.00616137i | ||||
\(263\) | 5.17075 | − | 3.52536i | 0.318842 | − | 0.217383i | −0.393314 | − | 0.919404i | \(-0.628671\pi\) |
0.712156 | + | 0.702022i | \(0.247719\pi\) | |||||||
\(264\) | −39.0502 | + | 67.6370i | −2.40338 | + | 4.16277i | ||||
\(265\) | 0.247638 | − | 0.142974i | 0.0152123 | − | 0.00878282i | ||||
\(266\) | 3.07212 | − | 6.37932i | 0.188364 | − | 0.391141i | ||||
\(267\) | 0.00420252 | + | 0.0136242i | 0.000257190 | + | 0.000833790i | ||||
\(268\) | 1.24917 | − | 16.6691i | 0.0763055 | − | 1.01823i | ||||
\(269\) | 6.65801 | + | 1.51965i | 0.405946 | + | 0.0926545i | 0.420618 | − | 0.907238i | \(-0.361813\pi\) |
−0.0146721 | + | 0.999892i | \(0.504670\pi\) | |||||||
\(270\) | 0.254604 | + | 0.648721i | 0.0154947 | + | 0.0394799i | ||||
\(271\) | −1.52616 | − | 20.3651i | −0.0927073 | − | 1.23709i | −0.828540 | − | 0.559930i | \(-0.810828\pi\) |
0.735833 | − | 0.677163i | \(-0.236791\pi\) | |||||||
\(272\) | −15.8292 | − | 57.0960i | −0.959784 | − | 3.46195i | ||||
\(273\) | −3.00449 | + | 2.78776i | −0.181840 | + | 0.168723i | ||||
\(274\) | −46.2231 | + | 22.2599i | −2.79244 | + | 1.34477i | ||||
\(275\) | −10.3859 | + | 15.2333i | −0.626291 | + | 0.918601i | ||||
\(276\) | 27.4921 | − | 70.0486i | 1.65483 | − | 4.21643i | ||||
\(277\) | 0.523643 | − | 1.69761i | 0.0314627 | − | 0.101999i | −0.938480 | − | 0.345335i | \(-0.887765\pi\) |
0.969942 | + | 0.243335i | \(0.0782416\pi\) | |||||||
\(278\) | −5.69873 | + | 6.14177i | −0.341787 | + | 0.368359i | ||||
\(279\) | −15.3717 | + | 12.2585i | −0.920277 | + | 0.733896i | ||||
\(280\) | −0.288641 | − | 0.361945i | −0.0172496 | − | 0.0216303i | ||||
\(281\) | −10.9771 | − | 10.1852i | −0.654837 | − | 0.607600i | 0.281137 | − | 0.959668i | \(-0.409288\pi\) |
−0.935975 | + | 0.352067i | \(0.885479\pi\) | |||||||
\(282\) | 12.6500 | − | 41.0102i | 0.753295 | − | 2.44212i | ||||
\(283\) | 20.8273 | + | 8.17411i | 1.23805 | + | 0.485900i | 0.891881 | − | 0.452270i | \(-0.149386\pi\) |
0.346173 | + | 0.938171i | \(0.387481\pi\) | |||||||
\(284\) | 20.9251 | − | 30.6914i | 1.24167 | − | 1.82120i | ||||
\(285\) | 2.10094 | − | 1.01176i | 0.124449 | − | 0.0599315i | ||||
\(286\) | 34.5086 | + | 37.1915i | 2.04054 | + | 2.19918i | ||||
\(287\) | −1.76684 | − | 0.266308i | −0.104293 | − | 0.0157196i | ||||
\(288\) | 3.38292 | + | 45.1419i | 0.199340 | + | 2.66001i | ||||
\(289\) | −15.9299 | − | 5.93624i | −0.937052 | − | 0.349191i | ||||
\(290\) | −0.521128 | + | 2.28321i | −0.0306017 | + | 0.134075i | ||||
\(291\) | 0.375485 | − | 5.01050i | 0.0220113 | − | 0.293721i | ||||
\(292\) | 8.74280 | + | 28.3435i | 0.511634 | + | 1.65868i | ||||
\(293\) | −6.60733 | − | 3.18192i | −0.386004 | − | 0.185890i | 0.230809 | − | 0.972999i | \(-0.425863\pi\) |
−0.616814 | + | 0.787109i | \(0.711577\pi\) | |||||||
\(294\) | −36.9195 | + | 21.3155i | −2.15319 | + | 1.24314i | ||||
\(295\) | 0.362662 | + | 0.209383i | 0.0211150 | + | 0.0121907i | ||||
\(296\) | 37.2029 | + | 54.5666i | 2.16237 | + | 3.17162i | ||||
\(297\) | 1.50494 | + | 6.59359i | 0.0873257 | + | 0.382599i | ||||
\(298\) | −62.2670 | + | 9.38524i | −3.60703 | + | 0.543672i | ||||
\(299\) | −24.0667 | − | 19.1926i | −1.39181 | − | 1.10993i | ||||
\(300\) | 61.3331i | 3.54107i | ||||||||
\(301\) | −2.23634 | + | 0.688301i | −0.128900 | + | 0.0396730i | ||||
\(302\) | −14.9762 | −0.861785 | ||||||||
\(303\) | 0.952248 | + | 0.759392i | 0.0547052 | + | 0.0436259i | ||||
\(304\) | −103.643 | + | 15.6217i | −5.94436 | + | 0.895968i | ||||
\(305\) | −0.221071 | − | 0.968575i | −0.0126585 | − | 0.0554605i | ||||
\(306\) | 20.9956 | + | 12.9405i | 1.20024 | + | 0.739762i | ||||
\(307\) | 5.88195 | − | 10.1878i | 0.335701 | − | 0.581451i | −0.647918 | − | 0.761710i | \(-0.724360\pi\) |
0.983619 | + | 0.180259i | \(0.0576936\pi\) | |||||||
\(308\) | −3.56732 | − | 6.17877i | −0.203267 | − | 0.352068i | ||||
\(309\) | 2.50899 | − | 5.20997i | 0.142731 | − | 0.296385i | ||||
\(310\) | −3.25944 | + | 1.00540i | −0.185124 | + | 0.0571031i | ||||
\(311\) | 5.03394 | + | 0.377242i | 0.285449 | + | 0.0213914i | 0.216685 | − | 0.976242i | \(-0.430476\pi\) |
0.0687636 | + | 0.997633i | \(0.478095\pi\) | |||||||
\(312\) | 103.616 | + | 23.6497i | 5.86611 | + | 1.33890i | ||||
\(313\) | −16.0628 | + | 6.30420i | −0.907925 | + | 0.356334i | −0.772915 | − | 0.634510i | \(-0.781202\pi\) |
−0.135010 | + | 0.990844i | \(0.543107\pi\) | |||||||
\(314\) | −2.78516 | − | 37.1653i | −0.157175 | − | 2.09736i | ||||
\(315\) | 0.108780 | + | 0.0163960i | 0.00612907 | + | 0.000923808i | ||||
\(316\) | −36.3401 | − | 39.1653i | −2.04429 | − | 2.20322i | ||||
\(317\) | −7.14292 | − | 14.8324i | −0.401186 | − | 0.833072i | −0.999494 | − | 0.0318054i | \(-0.989874\pi\) |
0.598308 | − | 0.801266i | \(-0.295840\pi\) | |||||||
\(318\) | 7.12598 | − | 10.4519i | 0.399605 | − | 0.586113i | ||||
\(319\) | −8.30337 | + | 21.1566i | −0.464899 | + | 1.18454i | ||||
\(320\) | −1.12707 | + | 3.65386i | −0.0630050 | + | 0.204257i | ||||
\(321\) | −23.6370 | − | 21.9319i | −1.31929 | − | 1.22412i | ||||
\(322\) | 3.69836 | + | 4.63759i | 0.206101 | + | 0.258443i | ||||
\(323\) | −13.8220 | + | 26.7089i | −0.769075 | + | 1.48612i | ||||
\(324\) | 42.6093 | + | 39.5356i | 2.36718 | + | 2.19642i | ||||
\(325\) | 23.9747 | + | 7.39521i | 1.32988 | + | 0.410213i | ||||
\(326\) | −42.4105 | − | 16.6449i | −2.34890 | − | 0.921876i | ||||
\(327\) | −11.2523 | − | 7.67167i | −0.622252 | − | 0.424244i | ||||
\(328\) | 20.1033 | + | 41.7449i | 1.11002 | + | 2.30498i | ||||
\(329\) | 1.67921 | + | 1.80976i | 0.0925779 | + | 0.0997752i | ||||
\(330\) | 0.479881 | − | 3.18380i | 0.0264166 | − | 0.175263i | ||||
\(331\) | 0.503002 | + | 6.71209i | 0.0276475 | + | 0.368930i | 0.993818 | + | 0.111025i | \(0.0354132\pi\) |
−0.966170 | + | 0.257905i | \(0.916968\pi\) | |||||||
\(332\) | −2.28301 | − | 5.81702i | −0.125297 | − | 0.319251i | ||||
\(333\) | −15.3000 | − | 3.49213i | −0.838437 | − | 0.191368i | ||||
\(334\) | −23.4584 | − | 1.75796i | −1.28359 | − | 0.0961914i | ||||
\(335\) | 0.127908 | + | 0.414669i | 0.00698839 | + | 0.0226558i | ||||
\(336\) | −10.5336 | − | 5.07271i | −0.574655 | − | 0.276739i | ||||
\(337\) | 5.02488 | − | 2.90111i | 0.273722 | − | 0.158034i | −0.356856 | − | 0.934160i | \(-0.616151\pi\) |
0.630578 | + | 0.776126i | \(0.282818\pi\) | |||||||
\(338\) | 16.8375 | − | 29.1633i | 0.915837 | − | 1.58628i | ||||
\(339\) | 27.0610 | − | 18.4499i | 1.46975 | − | 1.00206i | ||||
\(340\) | 1.87588 | + | 2.49626i | 0.101734 | + | 0.135379i | ||||
\(341\) | −32.7328 | + | 4.93368i | −1.77258 | + | 0.267174i | ||||
\(342\) | 27.2027 | − | 34.1111i | 1.47095 | − | 1.84452i | ||||
\(343\) | − | 4.95013i | − | 0.267282i | ||||||
\(344\) | 47.4142 | + | 37.8597i | 2.55640 | + | 2.04126i | ||||
\(345\) | 1.95353i | 0.105174i | ||||||||
\(346\) | −49.5443 | − | 39.5102i | −2.66352 | − | 2.12408i | ||||
\(347\) | 0.848463 | + | 5.62919i | 0.0455479 | + | 0.302191i | 0.999993 | + | 0.00380325i | \(0.00121062\pi\) |
−0.954445 | + | 0.298387i | \(0.903551\pi\) | |||||||
\(348\) | 16.8242 | + | 73.7115i | 0.901870 | + | 3.95135i | ||||
\(349\) | −18.8529 | + | 12.8537i | −1.00917 | + | 0.688042i | −0.950657 | − | 0.310245i | \(-0.899589\pi\) |
−0.0585154 | + | 0.998287i | \(0.518637\pi\) | |||||||
\(350\) | −4.18693 | − | 2.41733i | −0.223801 | − | 0.129211i | ||||
\(351\) | 7.97043 | − | 4.60173i | 0.425430 | − | 0.245622i | ||||
\(352\) | −33.0692 | + | 68.6689i | −1.76259 | + | 3.66006i | ||||
\(353\) | 27.9758 | − | 8.62940i | 1.48900 | − | 0.459297i | 0.559725 | − | 0.828678i | \(-0.310907\pi\) |
0.929278 | + | 0.369382i | \(0.120430\pi\) | |||||||
\(354\) | 18.4738 | + | 1.38442i | 0.981873 | + | 0.0735812i | ||||
\(355\) | −0.214582 | + | 0.940143i | −0.0113888 | + | 0.0498976i | ||||
\(356\) | 0.0123391 | + | 0.0314396i | 0.000653972 | + | 0.00166629i | ||||
\(357\) | −2.95212 | + | 1.59304i | −0.156243 | + | 0.0843128i | ||||
\(358\) | 33.0569 | + | 4.98252i | 1.74711 | + | 0.263334i | ||||
\(359\) | 10.0683 | − | 9.34205i | 0.531387 | − | 0.493055i | −0.368230 | − | 0.929735i | \(-0.620036\pi\) |
0.899617 | + | 0.436680i | \(0.143846\pi\) | |||||||
\(360\) | −1.23771 | − | 2.57014i | −0.0652333 | − | 0.135458i | ||||
\(361\) | 28.2579 | + | 19.2659i | 1.48726 | + | 1.01400i | ||||
\(362\) | 22.6370 | + | 8.88436i | 1.18977 | + | 0.466952i | ||||
\(363\) | 1.81747 | − | 5.89210i | 0.0953925 | − | 0.309255i | ||||
\(364\) | −6.60378 | + | 7.11718i | −0.346132 | + | 0.373042i | ||||
\(365\) | −0.480097 | − | 0.602022i | −0.0251294 | − | 0.0315113i | ||||
\(366\) | −27.4026 | − | 34.3618i | −1.43236 | − | 1.79612i | ||||
\(367\) | −5.98433 | + | 6.44957i | −0.312379 | + | 0.336665i | −0.869653 | − | 0.493664i | \(-0.835657\pi\) |
0.557273 | + | 0.830329i | \(0.311848\pi\) | |||||||
\(368\) | 25.8819 | − | 83.9070i | 1.34919 | − | 4.37395i | ||||
\(369\) | −10.2490 | − | 4.02245i | −0.533544 | − | 0.209400i | ||||
\(370\) | −2.24956 | − | 1.53372i | −0.116949 | − | 0.0797345i | ||||
\(371\) | 0.315733 | + | 0.655627i | 0.0163921 | + | 0.0340385i | ||||
\(372\) | −80.7241 | + | 74.9010i | −4.18535 | + | 3.88344i | ||||
\(373\) | 33.7133 | + | 5.08146i | 1.74561 | + | 0.263108i | 0.942855 | − | 0.333204i | \(-0.108130\pi\) |
0.802753 | + | 0.596312i | \(0.203368\pi\) | |||||||
\(374\) | 19.7197 | + | 36.5432i | 1.01968 | + | 1.88960i | ||||
\(375\) | −1.16571 | − | 2.97017i | −0.0601969 | − | 0.153379i | ||||
\(376\) | 14.2454 | − | 62.4134i | 0.734653 | − | 3.21872i | ||||
\(377\) | 30.8419 | + | 2.31128i | 1.58844 | + | 0.119037i | ||||
\(378\) | −1.69469 | + | 0.522743i | −0.0871656 | + | 0.0268870i | ||||
\(379\) | 3.23471 | − | 6.71694i | 0.166156 | − | 0.345026i | −0.801221 | − | 0.598369i | \(-0.795816\pi\) |
0.967377 | + | 0.253343i | \(0.0815300\pi\) | |||||||
\(380\) | 4.78379 | − | 2.76192i | 0.245403 | − | 0.141684i | ||||
\(381\) | 1.59360 | + | 0.920068i | 0.0816428 | + | 0.0471365i | ||||
\(382\) | 34.4948 | − | 23.5181i | 1.76491 | − | 1.20329i | ||||
\(383\) | −1.85026 | − | 8.10651i | −0.0945438 | − | 0.414223i | 0.905403 | − | 0.424553i | \(-0.139569\pi\) |
−0.999947 | + | 0.0103301i | \(0.996712\pi\) | |||||||
\(384\) | 11.2186 | + | 74.4307i | 0.572498 | + | 3.79827i | ||||
\(385\) | 0.144809 | + | 0.115481i | 0.00738014 | + | 0.00588546i | ||||
\(386\) | 57.5093i | 2.92715i | ||||||||
\(387\) | −14.3785 | + | 1.06856i | −0.730899 | + | 0.0543178i | ||||
\(388\) | − | 11.9024i | − | 0.604252i | ||||||
\(389\) | −2.09071 | + | 2.62167i | −0.106003 | + | 0.132924i | −0.832003 | − | 0.554771i | \(-0.812806\pi\) |
0.726000 | + | 0.687695i | \(0.241377\pi\) | |||||||
\(390\) | −4.33259 | + | 0.653033i | −0.219389 | + | 0.0330676i | ||||
\(391\) | −15.1354 | − | 20.1410i | −0.765432 | − | 1.01857i | ||||
\(392\) | −52.5421 | + | 35.8226i | −2.65378 | + | 1.80931i | ||||
\(393\) | 0.187813 | − | 0.325302i | 0.00947393 | − | 0.0164093i | ||||
\(394\) | 44.6147 | − | 25.7583i | 2.24766 | − | 1.29769i | ||||
\(395\) | 1.24965 | + | 0.601798i | 0.0628765 | + | 0.0302797i | ||||
\(396\) | −12.9584 | − | 42.0101i | −0.651184 | − | 2.11109i | ||||
\(397\) | −34.0906 | − | 2.55474i | −1.71096 | − | 0.128219i | −0.817079 | − | 0.576525i | \(-0.804408\pi\) |
−0.893880 | + | 0.448307i | \(0.852027\pi\) | |||||||
\(398\) | 9.71602 | + | 2.21762i | 0.487020 | + | 0.111159i | ||||
\(399\) | 2.16802 | + | 5.52402i | 0.108537 | + | 0.276547i | ||||
\(400\) | 5.34830 | + | 71.3681i | 0.267415 | + | 3.56840i | ||||
\(401\) | −5.04670 | + | 33.4827i | −0.252020 | + | 1.67205i | 0.402054 | + | 0.915616i | \(0.368296\pi\) |
−0.654074 | + | 0.756430i | \(0.726942\pi\) | |||||||
\(402\) | 13.0575 | + | 14.0726i | 0.651248 | + | 0.701878i | ||||
\(403\) | 19.5450 | + | 40.5857i | 0.973608 | + | 2.02172i | ||||
\(404\) | 2.38385 | + | 1.62528i | 0.118601 | + | 0.0808609i | ||||
\(405\) | −1.40466 | − | 0.551288i | −0.0697980 | − | 0.0273937i | ||||
\(406\) | −5.69505 | − | 1.75669i | −0.282640 | − | 0.0871830i | ||||
\(407\) | −19.3691 | − | 17.9719i | −0.960089 | − | 0.890833i | ||||
\(408\) | 77.2542 | + | 39.9794i | 3.82465 | + | 1.97928i | ||||
\(409\) | −2.07480 | − | 2.60172i | −0.102592 | − | 0.128647i | 0.727885 | − | 0.685700i | \(-0.240504\pi\) |
−0.830477 | + | 0.557053i | \(0.811932\pi\) | |||||||
\(410\) | −1.40023 | − | 1.29922i | −0.0691523 | − | 0.0641640i | ||||
\(411\) | 12.6739 | − | 41.0877i | 0.625157 | − | 2.02671i | ||||
\(412\) | 5.00450 | − | 12.7513i | 0.246554 | − | 0.628210i | ||||
\(413\) | −0.600324 | + | 0.880514i | −0.0295400 | + | 0.0433273i | ||||
\(414\) | 15.8588 | + | 32.9312i | 0.779418 | + | 1.61848i | ||||
\(415\) | 0.110342 | + | 0.118920i | 0.00541646 | + | 0.00583755i | ||||
\(416\) | 102.559 | + | 15.4583i | 5.02837 | + | 0.757904i | ||||
\(417\) | −0.524752 | − | 7.00233i | −0.0256972 | − | 0.342905i | ||||
\(418\) | 68.3798 | − | 26.8371i | 3.34456 | − | 1.31264i | ||||
\(419\) | 6.86105 | + | 1.56599i | 0.335184 | + | 0.0765036i | 0.386801 | − | 0.922163i | \(-0.373580\pi\) |
−0.0516165 | + | 0.998667i | \(0.516437\pi\) | |||||||
\(420\) | 0.614430 | + | 0.0460452i | 0.0299811 | + | 0.00224678i | ||||
\(421\) | −30.8577 | + | 9.51835i | −1.50391 | + | 0.463896i | −0.933838 | − | 0.357696i | \(-0.883562\pi\) |
−0.570076 | + | 0.821592i | \(0.693086\pi\) | |||||||
\(422\) | −21.2206 | + | 44.0651i | −1.03300 | + | 2.14505i | ||||
\(423\) | 7.60631 | + | 13.1745i | 0.369831 | + | 0.640567i | ||||
\(424\) | 9.43488 | − | 16.3417i | 0.458198 | − | 0.793623i | ||||
\(425\) | 17.4808 | + | 10.7743i | 0.847945 | + | 0.522628i | ||||
\(426\) | 9.49281 | + | 41.5907i | 0.459928 | + | 2.01508i | ||||
\(427\) | 2.50002 | − | 0.376817i | 0.120984 | − | 0.0182354i | ||||
\(428\) | −59.7184 | − | 47.6238i | −2.88660 | − | 2.30199i | ||||
\(429\) | −42.5215 | −2.05295 | ||||||||
\(430\) | −2.38980 | − | 0.738777i | −0.115246 | − | 0.0356270i | ||||
\(431\) | 18.8327i | 0.907139i | 0.891221 | + | 0.453569i | \(0.149850\pi\) | ||||
−0.891221 | + | 0.453569i | \(0.850150\pi\) | |||||||
\(432\) | 20.5256 | + | 16.3686i | 0.987537 | + | 0.787534i | ||||
\(433\) | −3.37874 | + | 0.509263i | −0.162372 | + | 0.0244736i | −0.229725 | − | 0.973256i | \(-0.573783\pi\) |
0.0673531 | + | 0.997729i | \(0.478545\pi\) | |||||||
\(434\) | −1.93157 | − | 8.46275i | −0.0927182 | − | 0.406225i | ||||
\(435\) | −1.10568 | − | 1.62173i | −0.0530132 | − | 0.0777560i | ||||
\(436\) | −27.9385 | − | 16.1303i | −1.33801 | − | 0.772500i | ||||
\(437\) | −38.5978 | + | 22.2844i | −1.84638 | + | 1.06601i | ||||
\(438\) | −30.6910 | − | 14.7800i | −1.46647 | − | 0.706217i | ||||
\(439\) | −7.46887 | − | 24.2135i | −0.356470 | − | 1.15565i | −0.939313 | − | 0.343062i | \(-0.888536\pi\) |
0.582843 | − | 0.812585i | \(-0.301940\pi\) | |||||||
\(440\) | 0.358919 | − | 4.78944i | 0.0171108 | − | 0.228328i | ||||
\(441\) | 3.36257 | − | 14.7324i | 0.160122 | − | 0.701542i | ||||
\(442\) | 39.6097 | − | 40.3006i | 1.88404 | − | 1.91691i | ||||
\(443\) | 2.18083 | + | 29.1012i | 0.103615 | + | 1.38264i | 0.770481 | + | 0.637463i | \(0.220016\pi\) |
−0.666866 | + | 0.745177i | \(0.732365\pi\) | |||||||
\(444\) | −86.9167 | − | 13.1006i | −4.12488 | − | 0.621726i | ||||
\(445\) | −0.000596370 | 0 | 0.000642733i | −2.82706e−5 | 0 | 3.04685e-5i | ||||
\(446\) | 10.0755 | − | 4.85211i | 0.477089 | − | 0.229754i | ||||
\(447\) | 29.7297 | − | 43.6055i | 1.40617 | − | 2.06247i | ||||
\(448\) | −9.05815 | − | 3.55506i | −0.427957 | − | 0.167961i | ||||
\(449\) | −4.20331 | + | 13.6268i | −0.198367 | + | 0.643089i | 0.800666 | + | 0.599111i | \(0.204479\pi\) |
−0.999033 | + | 0.0439778i | \(0.985997\pi\) | |||||||
\(450\) | −21.8383 | − | 20.2629i | −1.02947 | − | 0.955204i | ||||
\(451\) | −11.5578 | − | 14.4930i | −0.544236 | − | 0.682451i | ||||
\(452\) | 60.6580 | − | 48.3732i | 2.85311 | − | 2.27528i | ||||
\(453\) | 8.53731 | − | 9.20103i | 0.401118 | − | 0.432302i | ||||
\(454\) | 6.88457 | − | 22.3192i | 0.323109 | − | 1.04749i | ||||
\(455\) | 0.0920835 | − | 0.234625i | 0.00431694 | − | 0.0109994i | ||||
\(456\) | 86.6840 | − | 127.142i | 4.05935 | − | 5.95397i | ||||
\(457\) | −21.4255 | + | 10.3180i | −1.00224 | + | 0.482654i | −0.861699 | − | 0.507420i | \(-0.830599\pi\) |
−0.140543 | + | 0.990075i | \(0.544885\pi\) | |||||||
\(458\) | −1.57830 | + | 1.46445i | −0.0737493 | + | 0.0684293i | ||||
\(459\) | 7.25881 | − | 2.01242i | 0.338812 | − | 0.0939315i | ||||
\(460\) | 0.345821 | + | 4.61467i | 0.0161240 | + | 0.215160i | ||||
\(461\) | −4.44933 | − | 11.3367i | −0.207226 | − | 0.528003i | 0.789040 | − | 0.614342i | \(-0.210578\pi\) |
−0.996266 | + | 0.0863388i | \(0.972483\pi\) | |||||||
\(462\) | 7.98834 | + | 1.82329i | 0.371651 | + | 0.0848270i | ||||
\(463\) | 2.22322 | − | 29.6668i | 0.103322 | − | 1.37873i | −0.668886 | − | 0.743365i | \(-0.733229\pi\) |
0.772208 | − | 0.635369i | \(-0.219152\pi\) | |||||||
\(464\) | 26.0046 | + | 84.3048i | 1.20723 | + | 3.91375i | ||||
\(465\) | 1.24037 | − | 2.57566i | 0.0575209 | − | 0.119443i | ||||
\(466\) | 23.5015 | − | 13.5686i | 1.08868 | − | 0.628553i | ||||
\(467\) | −7.52481 | + | 13.0334i | −0.348207 | + | 0.603112i | −0.985931 | − | 0.167153i | \(-0.946543\pi\) |
0.637724 | + | 0.770265i | \(0.279876\pi\) | |||||||
\(468\) | −49.4307 | + | 33.7013i | −2.28494 | + | 1.55784i | ||||
\(469\) | −1.07664 | + | 0.245736i | −0.0497146 | + | 0.0113470i | ||||
\(470\) | 0.393355 | + | 2.60974i | 0.0181441 | + | 0.120378i | ||||
\(471\) | 24.4212 | + | 19.4752i | 1.12527 | + | 0.897372i | ||||
\(472\) | 27.6344 | 1.27198 | ||||||||
\(473\) | −21.8647 | − | 10.5462i | −1.00534 | − | 0.484913i | ||||
\(474\) | 61.3592 | 2.81832 | ||||||||
\(475\) | 22.6489 | − | 28.4008i | 1.03920 | − | 1.30312i | ||||
\(476\) | −6.69156 | + | 4.28572i | −0.306707 | + | 0.196436i | ||||
\(477\) | 0.997783 | + | 4.37157i | 0.0456853 | + | 0.200161i | ||||
\(478\) | 43.4204 | − | 29.6036i | 1.98600 | − | 1.35403i | ||||
\(479\) | 1.58279 | + | 0.913821i | 0.0723193 | + | 0.0417536i | 0.535724 | − | 0.844393i | \(-0.320039\pi\) |
−0.463404 | + | 0.886147i | \(0.653372\pi\) | |||||||
\(480\) | −3.29107 | − | 5.70030i | −0.150216 | − | 0.260182i | ||||
\(481\) | −15.6009 | + | 32.3956i | −0.711339 | + | 1.47711i | ||||
\(482\) | −23.9651 | − | 77.6931i | −1.09158 | − | 3.53882i | ||||
\(483\) | −4.95750 | − | 0.371513i | −0.225574 | − | 0.0169044i | ||||
\(484\) | 3.25023 | − | 14.2402i | 0.147738 | − | 0.647281i | ||||
\(485\) | 0.112887 | + | 0.287631i | 0.00512592 | + | 0.0130606i | ||||
\(486\) | −51.6993 | + | 3.87433i | −2.34513 | + | 0.175743i | ||||
\(487\) | −0.336811 | + | 2.23459i | −0.0152623 | + | 0.101259i | −0.995165 | − | 0.0982173i | \(-0.968686\pi\) |
0.979903 | + | 0.199476i | \(0.0639241\pi\) | |||||||
\(488\) | −44.5922 | − | 48.0590i | −2.01860 | − | 2.17553i | ||||
\(489\) | 34.4027 | − | 16.5674i | 1.55574 | − | 0.749206i | ||||
\(490\) | 1.47682 | − | 2.16610i | 0.0667159 | − | 0.0978542i | ||||
\(491\) | 6.53431 | − | 16.6491i | 0.294889 | − | 0.751366i | −0.704253 | − | 0.709949i | \(-0.748718\pi\) |
0.999142 | − | 0.0414162i | \(-0.0131870\pi\) | |||||||
\(492\) | −58.9274 | − | 18.1767i | −2.65665 | − | 0.819468i | ||||
\(493\) | 23.9644 | + | 8.15362i | 1.07930 | + | 0.367221i | ||||
\(494\) | −62.3258 | − | 78.1541i | −2.80417 | − | 3.51632i | ||||
\(495\) | 0.711589 | + | 0.892304i | 0.0319835 | + | 0.0401061i | ||||
\(496\) | −87.4003 | + | 94.1952i | −3.92439 | + | 4.22949i | ||||
\(497\) | −2.34501 | − | 0.723341i | −0.105188 | − | 0.0324463i | ||||
\(498\) | 6.68057 | + | 2.62193i | 0.299363 | + | 0.117491i | ||||
\(499\) | −1.30470 | + | 1.91364i | −0.0584063 | + | 0.0856663i | −0.854331 | − | 0.519729i | \(-0.826033\pi\) |
0.795925 | + | 0.605396i | \(0.206985\pi\) | |||||||
\(500\) | −3.27946 | − | 6.80986i | −0.146662 | − | 0.304546i | ||||
\(501\) | 14.4527 | − | 13.4101i | 0.645698 | − | 0.599120i | ||||
\(502\) | −29.2463 | − | 4.40818i | −1.30533 | − | 0.196747i | ||||
\(503\) | −28.4128 | + | 2.12924i | −1.26686 | + | 0.0949383i | −0.691149 | − | 0.722712i | \(-0.742895\pi\) |
−0.575715 | + | 0.817651i | \(0.695276\pi\) | |||||||
\(504\) | 6.75768 | − | 2.65219i | 0.301011 | − | 0.118138i | ||||
\(505\) | −0.0730225 | − | 0.0166669i | −0.00324946 | − | 0.000741668i | ||||
\(506\) | −4.59883 | + | 61.3671i | −0.204443 | + | 2.72810i | ||||
\(507\) | 8.31893 | + | 26.9693i | 0.369457 | + | 1.19775i | ||||
\(508\) | 3.92732 | + | 1.89130i | 0.174247 | + | 0.0839129i | ||||
\(509\) | −9.36951 | − | 16.2285i | −0.415296 | − | 0.719314i | 0.580163 | − | 0.814500i | \(-0.302989\pi\) |
−0.995459 | + | 0.0951861i | \(0.969655\pi\) | |||||||
\(510\) | −3.56687 | − | 0.370689i | −0.157944 | − | 0.0164144i | ||||
\(511\) | 1.61907 | − | 1.10386i | 0.0716233 | − | 0.0488320i | ||||
\(512\) | 6.65955 | + | 29.1774i | 0.294313 | + | 1.28947i | ||||
\(513\) | −1.98604 | − | 13.1765i | −0.0876860 | − | 0.581758i | ||||
\(514\) | −30.7688 | + | 38.5828i | −1.35715 | + | 1.70182i | ||||
\(515\) | 0.355609i | 0.0156700i | ||||||||
\(516\) | −79.8606 | + | 11.9864i | −3.51566 | + | 0.527673i | ||||
\(517\) | 25.6129i | 1.12645i | ||||||||
\(518\) | 4.31997 | − | 5.41707i | 0.189809 | − | 0.238013i | ||||
\(519\) | 52.5172 | − | 7.91570i | 2.30525 | − | 0.347461i | ||||
\(520\) | −6.37199 | + | 1.45437i | −0.279430 | + | 0.0637781i | ||||
\(521\) | 5.32678 | + | 7.81295i | 0.233370 | + | 0.342292i | 0.925004 | − | 0.379957i | \(-0.124061\pi\) |
−0.691634 | + | 0.722248i | \(0.743109\pi\) | |||||||
\(522\) | −31.8040 | − | 18.3621i | −1.39202 | − | 0.803686i | ||||
\(523\) | 11.2137 | + | 19.4228i | 0.490342 | + | 0.849298i | 0.999938 | − | 0.0111161i | \(-0.00353842\pi\) |
−0.509596 | + | 0.860414i | \(0.670205\pi\) | |||||||
\(524\) | 0.386071 | − | 0.801685i | 0.0168656 | − | 0.0350218i | ||||
\(525\) | 3.87194 | − | 1.19433i | 0.168985 | − | 0.0521250i | ||||
\(526\) | −1.27231 | + | 16.9778i | −0.0554754 | + | 0.740267i | ||||
\(527\) | 7.16726 | + | 36.1653i | 0.312211 | + | 1.57538i | ||||
\(528\) | −44.3136 | − | 112.909i | −1.92850 | − | 4.91375i | ||||
\(529\) | −1.07145 | − | 14.2975i | −0.0465848 | − | 0.621631i | ||||
\(530\) | −0.115943 | + | 0.769235i | −0.00503626 | + | 0.0334134i | ||||
\(531\) | −4.81375 | + | 4.46651i | −0.208899 | + | 0.193830i | ||||
\(532\) | 6.09923 | + | 12.6652i | 0.264435 | + | 0.549105i | ||||
\(533\) | −14.2103 | + | 20.8427i | −0.615516 | + | 0.902797i | ||||
\(534\) | −0.0361068 | − | 0.0141709i | −0.00156249 | − | 0.000613234i | ||||
\(535\) | 1.89483 | + | 0.584476i | 0.0819204 | + | 0.0252691i | ||||
\(536\) | 20.9919 | + | 19.4776i | 0.906712 | + | 0.841306i | ||||
\(537\) | −21.9055 | + | 17.4690i | −0.945290 | + | 0.753844i | ||||
\(538\) | −14.5256 | + | 11.5838i | −0.626244 | + | 0.499413i | ||||
\(539\) | 17.3051 | − | 18.6504i | 0.745383 | − | 0.803331i | ||||
\(540\) | −1.32211 | − | 0.407817i | −0.0568946 | − | 0.0175496i | ||||
\(541\) | 17.1660 | + | 6.73716i | 0.738024 | + | 0.289653i | 0.704421 | − | 0.709782i | \(-0.251207\pi\) |
0.0336028 | + | 0.999435i | \(0.489302\pi\) | |||||||
\(542\) | 45.9048 | + | 31.2974i | 1.97178 | + | 1.34434i | ||||
\(543\) | −18.3627 | + | 8.84302i | −0.788020 | + | 0.379490i | ||||
\(544\) | 78.0956 | + | 33.2720i | 3.34832 | + | 1.42653i | ||||
\(545\) | 0.828141 | + | 0.124822i | 0.0354737 | + | 0.00534679i | ||||
\(546\) | −0.833261 | − | 11.1191i | −0.0356603 | − | 0.475853i | ||||
\(547\) | −30.9882 | + | 12.1620i | −1.32496 | + | 0.520008i | −0.919134 | − | 0.393944i | \(-0.871110\pi\) |
−0.405823 | + | 0.913952i | \(0.633015\pi\) | |||||||
\(548\) | 22.6650 | − | 99.3020i | 0.968203 | − | 4.24197i | ||||
\(549\) | 15.5354 | + | 1.16422i | 0.663035 | + | 0.0496876i | ||||
\(550\) | −14.7842 | − | 47.9293i | −0.630402 | − | 2.04371i | ||||
\(551\) | 19.4294 | − | 40.3455i | 0.827720 | − | 1.71878i | ||||
\(552\) | 64.4567 | + | 111.642i | 2.74346 | + | 4.75181i | ||||
\(553\) | −1.76485 | + | 3.05680i | −0.0750489 | + | 0.129989i | ||||
\(554\) | 2.72257 | + | 3.99327i | 0.115671 | + | 0.169658i | ||||
\(555\) | 2.22466 | − | 0.507764i | 0.0944316 | − | 0.0215534i | ||||
\(556\) | −2.47916 | − | 16.4482i | −0.105140 | − | 0.697558i | ||||
\(557\) | −6.09664 | + | 7.64494i | −0.258323 | + | 0.323927i | −0.894033 | − | 0.448001i | \(-0.852136\pi\) |
0.635710 | + | 0.771928i | \(0.280707\pi\) | |||||||
\(558\) | − | 53.4881i | − | 2.26433i | ||||||
\(559\) | −4.94374 | + | 32.6622i | −0.209098 | + | 1.38147i | ||||
\(560\) | 0.718976 | 0.0303823 | ||||||||
\(561\) | −33.6926 | − | 8.71640i | −1.42250 | − | 0.368007i | ||||
\(562\) | 40.2832 | − | 6.07171i | 1.69924 | − | 0.256120i | ||||
\(563\) | 4.21086 | + | 18.4490i | 0.177467 | + | 0.777532i | 0.982794 | + | 0.184702i | \(0.0591321\pi\) |
−0.805328 | + | 0.592830i | \(0.798011\pi\) | |||||||
\(564\) | 47.9977 | + | 70.3996i | 2.02107 | + | 2.96436i | ||||
\(565\) | −1.00706 | + | 1.74428i | −0.0423673 | + | 0.0733824i | ||||
\(566\) | −52.7135 | + | 30.4342i | −2.21572 | + | 1.27924i | ||||
\(567\) | 1.66615 | − | 3.45979i | 0.0699716 | − | 0.145297i | ||||
\(568\) | 18.7569 | + | 60.8085i | 0.787024 | + | 2.55147i | ||||
\(569\) | 1.87136 | − | 24.9716i | 0.0784517 | − | 1.04687i | −0.809558 | − | 0.587040i | \(-0.800293\pi\) |
0.888010 | − | 0.459825i | \(-0.152088\pi\) | |||||||
\(570\) | −1.41164 | + | 6.18481i | −0.0591272 | + | 0.259053i | ||||
\(571\) | 14.7382 | − | 5.78430i | 0.616773 | − | 0.242066i | −0.0363237 | − | 0.999340i | \(-0.511565\pi\) |
0.653097 | + | 0.757275i | \(0.273469\pi\) | |||||||
\(572\) | −100.445 | + | 7.52733i | −4.19983 | + | 0.314733i | ||||
\(573\) | −5.21503 | + | 34.5995i | −0.217861 | + | 1.44541i | ||||
\(574\) | 3.56335 | − | 3.30631i | 0.148731 | − | 0.138003i | ||||
\(575\) | 13.2040 | + | 27.4184i | 0.550645 | + | 1.14343i | ||||
\(576\) | −49.5418 | − | 33.7771i | −2.06424 | − | 1.40738i | ||||
\(577\) | 7.54506 | − | 19.2245i | 0.314105 | − | 0.800326i | −0.683421 | − | 0.730025i | \(-0.739509\pi\) |
0.997526 | − | 0.0703016i | \(-0.0223962\pi\) | |||||||
\(578\) | 39.6466 | − | 23.8134i | 1.64908 | − | 0.990507i | ||||
\(579\) | −35.3323 | − | 32.7836i | −1.46836 | − | 1.36244i | ||||
\(580\) | −2.89894 | − | 3.63516i | −0.120372 | − | 0.150942i | ||||
\(581\) | −0.322770 | + | 0.257401i | −0.0133908 | + | 0.0106788i | ||||
\(582\) | 10.0203 | + | 9.29750i | 0.415355 | + | 0.385394i | ||||
\(583\) | −2.22526 | + | 7.21411i | −0.0921608 | + | 0.298778i | ||||
\(584\) | −47.3009 | − | 18.5642i | −1.95733 | − | 0.768194i | ||||
\(585\) | 0.874896 | − | 1.28324i | 0.0361725 | − | 0.0530553i | ||||
\(586\) | 17.9753 | − | 8.65644i | 0.742552 | − | 0.357594i | ||||
\(587\) | −0.407955 | + | 0.378527i | −0.0168381 | + | 0.0156235i | −0.688547 | − | 0.725192i | \(-0.741751\pi\) |
0.671709 | + | 0.740815i | \(0.265561\pi\) | |||||||
\(588\) | 12.6145 | − | 83.6919i | 0.520214 | − | 3.45140i | ||||
\(589\) | 65.0392 | − | 4.87402i | 2.67989 | − | 0.200830i | ||||
\(590\) | −1.06050 | + | 0.416216i | −0.0436602 | + | 0.0171353i | ||||
\(591\) | −9.60767 | + | 42.0940i | −0.395207 | + | 1.73151i | ||||
\(592\) | −102.280 | − | 7.66482i | −4.20368 | − | 0.315022i | ||||
\(593\) | 19.1685 | − | 5.91270i | 0.787156 | − | 0.242805i | 0.124985 | − | 0.992159i | \(-0.460112\pi\) |
0.662171 | + | 0.749353i | \(0.269635\pi\) | |||||||
\(594\) | −16.5771 | − | 7.98312i | −0.680167 | − | 0.327551i | ||||
\(595\) | 0.121059 | − | 0.167033i | 0.00496295 | − | 0.00684769i | ||||
\(596\) | 62.5090 | − | 108.269i | 2.56047 | − | 4.43486i | ||||
\(597\) | −6.90114 | + | 4.70512i | −0.282445 | + | 0.192568i | ||||
\(598\) | 81.6443 | − | 18.6348i | 3.33868 | − | 0.762033i | ||||
\(599\) | 9.44706 | − | 1.42391i | 0.385996 | − | 0.0581796i | 0.0468223 | − | 0.998903i | \(-0.485091\pi\) |
0.339174 | + | 0.940724i | \(0.389852\pi\) | |||||||
\(600\) | −82.1480 | − | 65.5109i | −3.35368 | − | 2.67447i | ||||
\(601\) | − | 38.6187i | − | 1.57529i | −0.616129 | − | 0.787646i | \(-0.711300\pi\) | ||
0.616129 | − | 0.787646i | \(-0.288700\pi\) | |||||||
\(602\) | 2.32929 | − | 5.92414i | 0.0949349 | − | 0.241450i | ||||
\(603\) | −6.80481 | −0.277113 | ||||||||
\(604\) | 18.5382 | − | 23.2462i | 0.754310 | − | 0.945875i | ||||
\(605\) | 0.0565149 | + | 0.374952i | 0.00229766 | + | 0.0152440i | ||||
\(606\) | −3.23042 | + | 0.737322i | −0.131227 | + | 0.0299517i | ||||
\(607\) | −9.98810 | − | 14.6499i | −0.405404 | − | 0.594619i | 0.568192 | − | 0.822896i | \(-0.307643\pi\) |
−0.973596 | + | 0.228277i | \(0.926691\pi\) | |||||||
\(608\) | 75.0845 | − | 130.050i | 3.04508 | − | 5.27423i | ||||
\(609\) | 4.32577 | − | 2.49749i | 0.175289 | − | 0.101203i | ||||
\(610\) | 2.43512 | + | 1.17269i | 0.0985951 | + | 0.0474809i | ||||
\(611\) | 33.3061 | − | 10.2736i | 1.34742 | − | 0.415624i | ||||
\(612\) | −46.0757 | + | 16.5711i | −1.86250 | + | 0.669846i | ||||
\(613\) | −0.741636 | + | 3.24932i | −0.0299544 | + | 0.131239i | −0.987694 | − | 0.156397i | \(-0.950012\pi\) |
0.957740 | + | 0.287636i | \(0.0928692\pi\) | |||||||
\(614\) | 11.6923 | + | 29.7915i | 0.471863 | + | 1.20229i | ||||
\(615\) | 1.59642 | − | 0.119635i | 0.0643739 | − | 0.00482416i | ||||
\(616\) | 12.0860 | + | 1.82167i | 0.486959 | + | 0.0733973i | ||||
\(617\) | −21.0277 | − | 22.6625i | −0.846544 | − | 0.912357i | 0.150545 | − | 0.988603i | \(-0.451897\pi\) |
−0.997089 | + | 0.0762461i | \(0.975707\pi\) | |||||||
\(618\) | 6.82572 | + | 14.1737i | 0.274571 | + | 0.570152i | ||||
\(619\) | −12.6868 | + | 18.6082i | −0.509927 | + | 0.747926i | −0.991728 | − | 0.128355i | \(-0.959030\pi\) |
0.481801 | + | 0.876281i | \(0.339983\pi\) | |||||||
\(620\) | 2.47408 | − | 6.30386i | 0.0993616 | − | 0.253169i | ||||
\(621\) | 10.6674 | + | 3.29045i | 0.428067 | + | 0.132041i | ||||
\(622\) | −9.34099 | + | 10.0672i | −0.374540 | + | 0.403658i | ||||
\(623\) | 0.00174449 | − | 0.00139119i | 6.98916e−5 | − | 5.57367e-5i | ||||
\(624\) | −129.049 | + | 102.913i | −5.16608 | + | 4.11981i | ||||
\(625\) | −18.1104 | − | 16.8040i | −0.724416 | − | 0.672160i | ||||
\(626\) | 13.8370 | − | 44.8585i | 0.553039 | − | 1.79291i | ||||
\(627\) | −22.4923 | + | 57.3096i | −0.898258 | + | 2.28872i | ||||
\(628\) | 61.1359 | + | 41.6818i | 2.43959 | + | 1.66328i | ||||
\(629\) | −19.0023 | + | 22.4712i | −0.757673 | + | 0.895985i | ||||
\(630\) | −0.219388 | + | 0.203562i | −0.00874061 | + | 0.00811010i | ||||
\(631\) | −40.0653 | − | 6.03887i | −1.59497 | − | 0.240403i | −0.709366 | − | 0.704840i | \(-0.751019\pi\) |
−0.885606 | + | 0.464436i | \(0.846257\pi\) | |||||||
\(632\) | 91.2726 | − | 6.83993i | 3.63063 | − | 0.272078i | ||||
\(633\) | −14.9755 | − | 38.1571i | −0.595225 | − | 1.51661i | ||||
\(634\) | 43.6641 | + | 9.96604i | 1.73412 | + | 0.395802i | ||||
\(635\) | −0.112845 | − | 0.00845654i | −0.00447810 | − | 0.000335588i | ||||
\(636\) | 7.40266 | + | 23.9988i | 0.293534 | + | 0.951615i | ||||
\(637\) | −31.1936 | − | 15.0221i | −1.23594 | − | 0.595196i | ||||
\(638\) | −30.9154 | − | 53.5471i | −1.22395 | − | 2.11995i | ||||
\(639\) | −13.0957 | − | 7.56083i | −0.518060 | − | 0.299102i | ||||
\(640\) | −2.60755 | − | 3.82457i | −0.103072 | − | 0.151180i | ||||
\(641\) | −12.5272 | + | 2.85925i | −0.494795 | + | 0.112934i | −0.462635 | − | 0.886549i | \(-0.653096\pi\) |
−0.0321603 | + | 0.999483i | \(0.510239\pi\) | |||||||
\(642\) | 86.7420 | − | 13.0743i | 3.42343 | − | 0.516000i | ||||
\(643\) | 35.8772 | + | 28.6111i | 1.41486 | + | 1.12831i | 0.972887 | + | 0.231282i | \(0.0742921\pi\) |
0.441971 | + | 0.897029i | \(0.354279\pi\) | |||||||
\(644\) | −11.7765 | −0.464059 | ||||||||
\(645\) | 1.81621 | − | 1.04709i | 0.0715132 | − | 0.0412291i | ||||
\(646\) | −33.3643 | − | 74.7028i | −1.31270 | − | 2.93914i | ||||
\(647\) | 5.92430 | − | 7.42883i | 0.232908 | − | 0.292058i | −0.651619 | − | 0.758546i | \(-0.725910\pi\) |
0.884527 | + | 0.466489i | \(0.154481\pi\) | |||||||
\(648\) | −98.4648 | + | 14.8412i | −3.86806 | + | 0.583017i | ||||
\(649\) | −10.7789 | + | 2.46022i | −0.423110 | + | 0.0965720i | ||||
\(650\) | −56.3955 | + | 38.4498i | −2.21201 | + | 1.50813i | ||||
\(651\) | 6.30042 | + | 3.63755i | 0.246933 | + | 0.142567i | ||||
\(652\) | 78.3340 | − | 45.2261i | 3.06779 | − | 1.77119i | ||||
\(653\) | 15.4253 | − | 32.0310i | 0.603639 | − | 1.25347i | −0.345442 | − | 0.938440i | \(-0.612271\pi\) |
0.949082 | − | 0.315030i | \(-0.102015\pi\) | |||||||
\(654\) | 35.4037 | − | 10.9206i | 1.38439 | − | 0.427029i | ||||
\(655\) | −0.00172623 | + | 0.0230350i | −6.74495e−5 | + | 0.000900051i | ||||
\(656\) | −70.1538 | − | 16.0122i | −2.73905 | − | 0.625169i | ||||
\(657\) | 11.2400 | − | 4.41139i | 0.438516 | − | 0.172105i | ||||
\(658\) | −6.69760 | + | 0.501916i | −0.261100 | + | 0.0195667i | ||||
\(659\) | 19.3178 | + | 2.91169i | 0.752514 | + | 0.113423i | 0.514088 | − | 0.857737i | \(-0.328130\pi\) |
0.238426 | + | 0.971161i | \(0.423369\pi\) | |||||||
\(660\) | 4.34791 | + | 4.68593i | 0.169242 | + | 0.182399i | ||||
\(661\) | 42.7897 | − | 20.6064i | 1.66433 | − | 0.801498i | 0.665865 | − | 0.746073i | \(-0.268063\pi\) |
0.998463 | − | 0.0554253i | \(-0.0176515\pi\) | |||||||
\(662\) | −15.1297 | − | 10.3152i | −0.588031 | − | 0.400913i | ||||
\(663\) | 2.17992 | + | 47.3090i | 0.0846612 | + | 1.83733i | ||||
\(664\) | 10.2297 | + | 3.15545i | 0.396990 | + | 0.122455i | ||||
\(665\) | −0.267514 | − | 0.248217i | −0.0103737 | − | 0.00962543i | ||||
\(666\) | 33.3797 | − | 26.6194i | 1.29344 | − | 1.03148i | ||||
\(667\) | 23.3900 | + | 29.3301i | 0.905664 | + | 1.13567i | ||||
\(668\) | 31.7665 | − | 34.2362i | 1.22908 | − | 1.32464i | ||||
\(669\) | −2.76260 | + | 8.95613i | −0.106808 | + | 0.346264i | ||||
\(670\) | −1.09895 | − | 0.431306i | −0.0424562 | − | 0.0166628i | ||||
\(671\) | 21.6720 | + | 14.7757i | 0.836637 | + | 0.570410i | ||||
\(672\) | 15.0917 | − | 7.26776i | 0.582173 | − | 0.280360i | ||||
\(673\) | −19.3321 | − | 20.8350i | −0.745198 | − | 0.803132i | 0.240679 | − | 0.970605i | \(-0.422630\pi\) |
−0.985877 | + | 0.167473i | \(0.946439\pi\) | |||||||
\(674\) | −2.35263 | + | 15.6087i | −0.0906200 | + | 0.601224i | ||||
\(675\) | −9.07327 | + | 0.679947i | −0.349230 | + | 0.0261712i | ||||
\(676\) | 24.4254 | + | 62.2349i | 0.939439 | + | 2.39365i | ||||
\(677\) | 31.4005 | + | 7.16695i | 1.20682 | + | 0.275448i | 0.778188 | − | 0.628032i | \(-0.216139\pi\) |
0.428630 | + | 0.903480i | \(0.358996\pi\) | |||||||
\(678\) | −6.65860 | + | 88.8529i | −0.255722 | + | 3.41237i | ||||
\(679\) | −0.751395 | + | 0.231775i | −0.0288359 | + | 0.00889469i | ||||
\(680\) | −5.34709 | − | 0.153792i | −0.205051 | − | 0.00589766i | ||||
\(681\) | 9.78780 | + | 16.9530i | 0.375069 | + | 0.649639i | ||||
\(682\) | 45.0278 | − | 77.9905i | 1.72421 | − | 2.98641i | ||||
\(683\) | −13.7120 | − | 20.1118i | −0.524674 | − | 0.769556i | 0.468838 | − | 0.883284i | \(-0.344673\pi\) |
−0.993512 | + | 0.113729i | \(0.963721\pi\) | |||||||
\(684\) | 19.2748 | + | 84.4485i | 0.736991 | + | 3.22897i | ||||
\(685\) | 0.394099 | + | 2.61468i | 0.0150577 | + | 0.0999016i | ||||
\(686\) | 10.5288 | + | 8.39645i | 0.401992 | + | 0.320578i | ||||
\(687\) | − | 1.80449i | − | 0.0688457i | ||||||
\(688\) | −91.8817 | + | 20.9115i | −3.50296 | + | 0.797243i | ||||
\(689\) | 10.2736 | 0.391391 | ||||||||
\(690\) | −4.15510 | − | 3.31358i | −0.158182 | − | 0.126146i | ||||
\(691\) | 4.00868 | + | 26.5958i | 0.152497 | + | 1.01175i | 0.925881 | + | 0.377815i | \(0.123325\pi\) |
−0.773384 | + | 0.633938i | \(0.781437\pi\) | |||||||
\(692\) | 122.656 | − | 27.9955i | 4.66269 | − | 1.06423i | ||||
\(693\) | −2.39975 | + | 1.63612i | −0.0911588 | + | 0.0621510i | ||||
\(694\) | −13.4123 | − | 7.74361i | −0.509125 | − | 0.293943i | ||||
\(695\) | 0.215912 | + | 0.373970i | 0.00818999 | + | 0.0141855i | ||||
\(696\) | −116.698 | − | 56.1986i | −4.42341 | − | 2.13020i | ||||
\(697\) | −15.5323 | + | 13.6021i | −0.588327 | + | 0.515217i | ||||
\(698\) | 4.63893 | − | 61.9022i | 0.175586 | − | 2.34303i | ||||
\(699\) | −5.06098 | + | 22.1736i | −0.191424 | + | 0.838683i | ||||
\(700\) | 8.93496 | − | 3.50671i | 0.337710 | − | 0.132541i | ||||
\(701\) | 1.22150 | + | 16.2998i | 0.0461353 | + | 0.615633i | 0.971574 | + | 0.236736i | \(0.0760776\pi\) |
−0.925439 | + | 0.378897i | \(0.876303\pi\) | |||||||
\(702\) | −3.73173 | + | 24.7584i | −0.140845 | + | 0.934446i | ||||
\(703\) | 35.4098 | + | 38.1627i | 1.33551 | + | 1.43933i | ||||
\(704\) | −43.8020 | − | 90.9558i | −1.65085 | − | 3.42803i | ||||
\(705\) | −1.82760 | − | 1.24604i | −0.0688313 | − | 0.0469284i | ||||
\(706\) | −29.0983 | + | 74.1412i | −1.09513 | + | 2.79034i | ||||
\(707\) | 0.0561831 | − | 0.182141i | 0.00211298 | − | 0.00685012i | ||||
\(708\) | −25.0166 | + | 26.9615i | −0.940183 | + | 1.01328i | ||||
\(709\) | 27.0960 | − | 21.6083i | 1.01761 | − | 0.811517i | 0.0354134 | − | 0.999373i | \(-0.488725\pi\) |
0.982197 | + | 0.187856i | \(0.0601538\pi\) | |||||||
\(710\) | −1.63569 | − | 2.05109i | −0.0613863 | − | 0.0769760i | ||||
\(711\) | −14.7936 | + | 15.9437i | −0.554804 | + | 0.597936i | ||||
\(712\) | −0.0552890 | − | 0.0170544i | −0.00207204 | − | 0.000639141i | ||||
\(713\) | −19.9620 | + | 50.8624i | −0.747584 | + | 1.90481i | ||||
\(714\) | 1.61904 | − | 8.98122i | 0.0605909 | − | 0.336114i | ||||
\(715\) | 2.35595 | − | 1.13456i | 0.0881074 | − | 0.0424303i | ||||
\(716\) | −48.6532 | + | 45.1435i | −1.81825 | + | 1.68709i | ||||
\(717\) | −6.56444 | + | 43.5522i | −0.245153 | + | 1.62649i | ||||
\(718\) | 2.79234 | + | 37.2612i | 0.104209 | + | 1.39058i | ||||
\(719\) | 7.39007 | − | 2.90039i | 0.275603 | − | 0.108166i | −0.223514 | − | 0.974701i | \(-0.571753\pi\) |
0.499117 | + | 0.866534i | \(0.333658\pi\) | |||||||
\(720\) | 4.31921 | + | 0.985832i | 0.160968 | + | 0.0367398i | ||||
\(721\) | −0.902436 | − | 0.0676282i | −0.0336085 | − | 0.00251861i | ||||
\(722\) | −88.9095 | + | 27.4249i | −3.30887 | + | 1.02065i | ||||
\(723\) | 61.3943 | + | 29.5659i | 2.28328 | + | 1.09957i | ||||
\(724\) | −41.8115 | + | 24.1399i | −1.55391 | + | 0.897151i | ||||
\(725\) | −26.4799 | − | 15.2882i | −0.983440 | − | 0.567789i | ||||
\(726\) | 9.44954 | + | 13.8599i | 0.350705 | + | 0.514390i | ||||
\(727\) | −6.22803 | − | 27.2868i | −0.230985 | − | 1.01201i | −0.948825 | − | 0.315803i | \(-0.897726\pi\) |
0.717840 | − | 0.696208i | \(-0.245131\pi\) | |||||||
\(728\) | −2.47897 | − | 16.4469i | −0.0918769 | − | 0.609563i | ||||
\(729\) | 6.96174 | − | 8.72974i | 0.257842 | − | 0.323324i | ||||
\(730\) | 2.09483 | 0.0775332 | ||||||||
\(731\) | −10.6126 | + | 24.8671i | −0.392523 | + | 0.919742i | ||||
\(732\) | 87.2569 | 3.22511 | ||||||||
\(733\) | −3.03081 | + | 3.80052i | −0.111946 | + | 0.140375i | −0.834647 | − | 0.550785i | \(-0.814329\pi\) |
0.722702 | + | 0.691160i | \(0.242900\pi\) | |||||||
\(734\) | −3.56743 | − | 23.6683i | −0.131676 | − | 0.873614i | ||||
\(735\) | 0.488925 | + | 2.14212i | 0.0180343 | + | 0.0790133i | ||||
\(736\) | 70.8680 | + | 103.944i | 2.61223 | + | 3.83143i | ||||
\(737\) | −9.92203 | − | 5.72849i | −0.365483 | − | 0.211011i | ||||
\(738\) | 25.9402 | − | 14.9766i | 0.954870 | − | 0.551295i | ||||
\(739\) | −11.4938 | − | 5.53514i | −0.422808 | − | 0.203613i | 0.210367 | − | 0.977623i | \(-0.432534\pi\) |
−0.633175 | + | 0.774009i | \(0.718248\pi\) | |||||||
\(740\) | 5.16526 | − | 1.59327i | 0.189879 | − | 0.0585698i | ||||
\(741\) | 83.5453 | + | 6.26085i | 3.06911 | + | 0.229998i | ||||
\(742\) | −1.93005 | − | 0.440522i | −0.0708545 | − | 0.0161721i | ||||
\(743\) | −18.5103 | + | 7.26474i | −0.679075 | + | 0.266517i | −0.679709 | − | 0.733482i | \(-0.737894\pi\) |
0.000633105 | 1.00000i | \(0.499798\pi\) | ||||||||
\(744\) | −14.0979 | − | 188.123i | −0.516853 | − | 6.89692i | ||||
\(745\) | −0.483718 | + | 3.20926i | −0.0177221 | + | 0.117578i | ||||
\(746\) | −67.9929 | + | 63.0882i | −2.48940 | + | 2.30982i | ||||
\(747\) | −2.29196 | + | 1.10375i | −0.0838586 | + | 0.0403842i | ||||
\(748\) | −81.1325 | − | 14.6257i | −2.96650 | − | 0.534768i | ||||
\(749\) | −1.84359 | + | 4.69738i | −0.0673632 | + | 0.171639i | ||||
\(750\) | 8.29477 | + | 2.55860i | 0.302882 | + | 0.0934268i | ||||
\(751\) | −8.16812 | + | 8.80314i | −0.298059 | + | 0.321231i | −0.864269 | − | 0.503030i | \(-0.832219\pi\) |
0.566210 | + | 0.824261i | \(0.308409\pi\) | |||||||
\(752\) | 61.9897 | + | 77.7327i | 2.26053 | + | 2.83462i | ||||
\(753\) | 19.3804 | − | 15.4553i | 0.706260 | − | 0.563224i | ||||
\(754\) | −57.2304 | + | 61.6796i | −2.08421 | + | 2.24624i | ||||
\(755\) | −0.227515 | + | 0.737587i | −0.00828013 | + | 0.0268435i | ||||
\(756\) | 1.28636 | − | 3.27759i | 0.0467844 | − | 0.119205i | ||||
\(757\) | 9.21768 | + | 6.28451i | 0.335022 | + | 0.228414i | 0.719133 | − | 0.694873i | \(-0.244539\pi\) |
−0.384110 | + | 0.923287i | \(0.625492\pi\) | |||||||
\(758\) | 8.80005 | + | 18.2735i | 0.319632 | + | 0.663723i | ||||
\(759\) | −35.0809 | − | 37.8082i | −1.27335 | − | 1.37235i | ||||
\(760\) | −1.41039 | + | 9.35735i | −0.0511604 | + | 0.339427i | ||||
\(761\) | −3.17829 | − | 42.4114i | −0.115213 | − | 1.53741i | −0.692829 | − | 0.721102i | \(-0.743636\pi\) |
0.577616 | − | 0.816309i | \(-0.303983\pi\) | |||||||
\(762\) | −4.66005 | + | 1.82893i | −0.168816 | + | 0.0662553i | ||||
\(763\) | −0.474256 | + | 2.07785i | −0.0171692 | + | 0.0752233i | ||||
\(764\) | −6.19413 | + | 82.6549i | −0.224096 | + | 2.99035i | ||||
\(765\) | 0.956288 | − | 0.837452i | 0.0345747 | − | 0.0302781i | ||||
\(766\) | 20.3808 | + | 9.81487i | 0.736388 | + | 0.354626i | ||||
\(767\) | 7.52271 | + | 13.0297i | 0.271629 | + | 0.470476i | ||||
\(768\) | −69.6449 | − | 40.2095i | −2.51309 | − | 1.45094i | ||||
\(769\) | −16.6820 | + | 11.3736i | −0.601567 | + | 0.410142i | −0.825451 | − | 0.564474i | \(-0.809079\pi\) |
0.223883 | + | 0.974616i | \(0.428127\pi\) | |||||||
\(770\) | −0.491252 | + | 0.112125i | −0.0177035 | + | 0.00404070i | ||||
\(771\) | −6.16439 | − | 40.8980i | −0.222005 | − | 1.47291i | ||||
\(772\) | −89.2664 | − | 71.1875i | −3.21277 | − | 2.56210i | ||||
\(773\) | 52.2090 | 1.87783 | 0.938914 | − | 0.344151i | \(-0.111833\pi\) | ||||
0.938914 | + | 0.344151i | \(0.111833\pi\) | |||||||
\(774\) | 22.1161 | − | 32.3952i | 0.794946 | − | 1.16442i | ||||
\(775\) | − | 44.5340i | − | 1.59971i | ||||||
\(776\) | 15.9418 | + | 12.7131i | 0.572277 | + | 0.456375i | ||||
\(777\) | 0.865487 | + | 5.74213i | 0.0310492 | + | 0.205998i | ||||
\(778\) | −2.02995 | − | 8.89379i | −0.0727772 | − | 0.318858i | ||||
\(779\) | 20.5746 | + | 30.1774i | 0.737162 | + | 1.08122i | ||||
\(780\) | 4.34943 | − | 7.53344i | 0.155735 | − | 0.269740i | ||||
\(781\) | −12.7299 | − | 22.0488i | −0.455510 | − | 0.788967i | ||||
\(782\) | 68.5122 | + | 1.97054i | 2.44999 | + | 0.0704663i | ||||
\(783\) | −10.7180 | + | 3.30605i | −0.383028 | + | 0.118149i | ||||
\(784\) | 7.38044 | − | 98.4852i | 0.263587 | − | 3.51733i | ||||
\(785\) | −1.87272 | − | 0.427437i | −0.0668404 | − | 0.0152559i | ||||
\(786\) | 0.373340 | + | 0.951255i | 0.0133166 | + | 0.0339301i | ||||
\(787\) | −3.26397 | + | 0.244601i | −0.116348 | + | 0.00871907i | −0.132777 | − | 0.991146i | \(-0.542389\pi\) |
0.0164289 | + | 0.999865i | \(0.494770\pi\) | |||||||
\(788\) | −15.2438 | + | 101.136i | −0.543039 | + | 3.60283i | ||||
\(789\) | −9.70546 | − | 10.4600i | −0.345524 | − | 0.372386i | ||||
\(790\) | −3.39967 | + | 1.63719i | −0.120955 | + | 0.0582488i | ||||
\(791\) | −4.23498 | − | 2.88736i | −0.150578 | − | 0.102663i | ||||
\(792\) | 70.1083 | + | 27.5155i | 2.49119 | + | 0.977721i | ||||
\(793\) | 10.5210 | − | 34.1082i | 0.373611 | − | 1.21122i | ||||
\(794\) | 63.2586 | − | 68.1766i | 2.24497 | − | 2.41950i | ||||
\(795\) | −0.406505 | − | 0.509741i | −0.0144172 | − | 0.0180786i | ||||
\(796\) | −15.4691 | + | 12.3362i | −0.548289 | + | 0.437246i | ||||
\(797\) | −37.6378 | − | 34.9227i | −1.33320 | − | 1.23703i | −0.949576 | − | 0.313536i | \(-0.898486\pi\) |
−0.383621 | − | 0.923490i | \(-0.625323\pi\) | |||||||
\(798\) | −15.4269 | − | 4.75856i | −0.546105 | − | 0.168451i | ||||
\(799\) | 28.4966 | − | 1.31308i | 1.00814 | − | 0.0464534i | ||||
\(800\) | −84.7200 | − | 57.7611i | −2.99530 | − | 2.04216i | ||||
\(801\) | 0.0123875 | − | 0.00596551i | 0.000437691 | − | 0.000210781i | ||||
\(802\) | −62.6567 | − | 67.5278i | −2.21248 | − | 2.38449i | ||||
\(803\) | 20.1027 | + | 3.02999i | 0.709407 | + | 0.106926i | ||||
\(804\) | −38.0068 | + | 2.84821i | −1.34039 | + | 0.100449i | ||||
\(805\) | 0.284588 | − | 0.111693i | 0.0100304 | − | 0.00393665i | ||||
\(806\) | −119.477 | − | 27.2699i | −4.20841 | − | 0.960542i | ||||
\(807\) | 1.16363 | − | 15.5276i | 0.0409619 | − | 0.546598i | ||||
\(808\) | −4.72310 | + | 1.45688i | −0.166158 | + | 0.0512530i | ||||
\(809\) | 11.4065 | − | 23.6859i | 0.401032 | − | 0.832751i | −0.598469 | − | 0.801146i | \(-0.704224\pi\) |
0.999500 | − | 0.0316049i | \(-0.0100618\pi\) | |||||||
\(810\) | 3.55517 | − | 2.05258i | 0.124916 | − | 0.0721202i | ||||
\(811\) | 13.4086 | + | 7.74147i | 0.470840 | + | 0.271840i | 0.716591 | − | 0.697493i | \(-0.245701\pi\) |
−0.245751 | + | 0.969333i | \(0.579035\pi\) | |||||||
\(812\) | 9.77633 | − | 6.66539i | 0.343082 | − | 0.233909i | ||||
\(813\) | −45.3968 | + | 10.3615i | −1.59213 | + | 0.363394i | ||||
\(814\) | 71.0797 | − | 10.7135i | 2.49134 | − | 0.375510i | ||||
\(815\) | −1.46406 | + | 1.83587i | −0.0512838 | + | 0.0643079i | ||||
\(816\) | −123.350 | + | 55.0914i | −4.31811 | + | 1.92858i | ||||
\(817\) | 41.4064 | + | 23.9402i | 1.44863 | + | 0.837563i | ||||
\(818\) | 9.05310 | 0.316534 | ||||||||
\(819\) | 3.09011 | + | 2.46428i | 0.107977 | + | 0.0861090i | ||||
\(820\) | 3.74993 | − | 0.565210i | 0.130953 | − | 0.0197380i | ||||
\(821\) | −18.4660 | + | 4.21475i | −0.644468 | + | 0.147096i | −0.532249 | − | 0.846588i | \(-0.678653\pi\) |
−0.112219 | + | 0.993683i | \(0.535796\pi\) | |||||||
\(822\) | 65.8951 | + | 96.6504i | 2.29836 | + | 3.37107i | ||||
\(823\) | −11.2819 | − | 6.51363i | −0.393264 | − | 0.227051i | 0.290309 | − | 0.956933i | \(-0.406242\pi\) |
−0.683573 | + | 0.729882i | \(0.739575\pi\) | |||||||
\(824\) | 11.7333 | + | 20.3227i | 0.408750 | + | 0.707976i | ||||
\(825\) | 37.8745 | + | 18.2394i | 1.31862 | + | 0.635014i | ||||
\(826\) | −0.854559 | − | 2.77041i | −0.0297339 | − | 0.0963949i | ||||
\(827\) | 55.1987 | + | 4.13657i | 1.91945 | + | 0.143843i | 0.980019 | − | 0.198904i | \(-0.0637382\pi\) |
0.939428 | + | 0.342747i | \(0.111357\pi\) | |||||||
\(828\) | −70.7468 | − | 16.1475i | −2.45862 | − | 0.561164i | ||||
\(829\) | 18.0392 | + | 45.9632i | 0.626528 | + | 1.59637i | 0.792252 | + | 0.610194i | \(0.208909\pi\) |
−0.165724 | + | 0.986172i | \(0.552996\pi\) | |||||||
\(830\) | −0.440102 | + | 0.0329811i | −0.0152762 | + | 0.00114479i | ||||
\(831\) | −4.00539 | − | 0.603716i | −0.138946 | − | 0.0209427i | ||||
\(832\) | −100.706 | + | 93.4419i | −3.49137 | + | 3.23951i | ||||
\(833\) | −21.6375 | − | 18.2973i | −0.749694 | − | 0.633965i | ||||
\(834\) | 15.7839 | + | 10.7613i | 0.546551 | + | 0.372632i | ||||
\(835\) | −0.442955 | + | 1.12863i | −0.0153291 | + | 0.0390579i | ||||
\(836\) | −42.9868 | + | 139.360i | −1.48673 | + | 4.81986i | ||||
\(837\) | −11.9754 | − | 11.1115i | −0.413929 | − | 0.384070i | ||||
\(838\) | −14.9686 | + | 11.9370i | −0.517081 | + | 0.412358i | ||||
\(839\) | 4.29320 | − | 3.42371i | 0.148218 | − | 0.118200i | −0.546574 | − | 0.837411i | \(-0.684068\pi\) |
0.694791 | + | 0.719211i | \(0.255497\pi\) | |||||||
\(840\) | −0.717955 | + | 0.773772i | −0.0247718 | + | 0.0266977i | ||||
\(841\) | −8.30628 | − | 2.56215i | −0.286424 | − | 0.0883500i | ||||
\(842\) | 32.0958 | − | 81.7788i | 1.10609 | − | 2.81828i | ||||
\(843\) | −19.2334 | + | 28.2102i | −0.662434 | + | 0.971612i | ||||
\(844\) | −42.1303 | − | 87.4845i | −1.45019 | − | 3.01134i | ||||
\(845\) | −1.18052 | − | 1.27230i | −0.0406111 | − | 0.0437683i | ||||
\(846\) | −40.9238 | − | 6.16826i | −1.40699 | − | 0.212069i | ||||
\(847\) | −0.962271 | + | 0.0721122i | −0.0330640 | + | 0.00247781i | ||||
\(848\) | 10.7066 | + | 27.2799i | 0.367665 | + | 0.936795i | ||||
\(849\) | 11.3517 | − | 49.7352i | 0.389590 | − | 1.70691i | ||||
\(850\) | −52.5677 | + | 18.9060i | −1.80306 | + | 0.648469i | ||||
\(851\) | −41.6757 | + | 12.8552i | −1.42862 | + | 0.440672i | ||||
\(852\) | −76.3080 | − | 36.7480i | −2.61427 | − | 1.25897i | ||||
\(853\) | 25.6935 | − | 14.8341i | 0.879727 | − | 0.507911i | 0.00915864 | − | 0.999958i | \(-0.497085\pi\) |
0.870568 | + | 0.492047i | \(0.163751\pi\) | |||||||
\(854\) | −3.43907 | + | 5.95664i | −0.117682 | + | 0.203832i | ||||
\(855\) | −1.26673 | − | 1.85796i | −0.0433213 | − | 0.0635407i | ||||
\(856\) | 127.572 | − | 29.1176i | 4.36034 | − | 0.995219i | ||||
\(857\) | 7.00130 | + | 46.4506i | 0.239160 | + | 1.58672i | 0.709805 | + | 0.704398i | \(0.248783\pi\) |
−0.470645 | + | 0.882323i | \(0.655979\pi\) | |||||||
\(858\) | 72.1252 | − | 90.4422i | 2.46231 | − | 3.08764i | ||||
\(859\) | −20.6953 | −0.706116 | −0.353058 | − | 0.935601i | \(-0.614858\pi\) | ||||
−0.353058 | + | 0.935601i | \(0.614858\pi\) | |||||||
\(860\) | 4.10493 | − | 2.79497i | 0.139977 | − | 0.0953077i | ||||
\(861\) | 4.07402i | 0.138842i | ||||||||
\(862\) | −40.0567 | − | 31.9442i | −1.36434 | − | 1.08802i | ||||
\(863\) | −41.8126 | + | 6.30224i | −1.42332 | + | 0.214531i | −0.815137 | − | 0.579268i | \(-0.803339\pi\) |
−0.608181 | + | 0.793799i | \(0.708100\pi\) | |||||||
\(864\) | −36.6703 | + | 8.36976i | −1.24755 | + | 0.284745i | ||||
\(865\) | −2.69856 | + | 1.83985i | −0.0917539 | + | 0.0625568i | ||||
\(866\) | 4.64786 | − | 8.05032i | 0.157941 | − | 0.273561i | ||||
\(867\) | −7.97049 | + | 37.9329i | −0.270692 | + | 1.28827i | ||||
\(868\) | 15.5269 | + | 7.47738i | 0.527018 | + | 0.253799i | ||||
\(869\) | −34.9923 | + | 10.7937i | −1.18703 | + | 0.366151i | ||||
\(870\) | 5.32484 | + | 0.399042i | 0.180529 | + | 0.0135288i | ||||
\(871\) | −3.46930 | + | 15.2000i | −0.117553 | + | 0.515033i | ||||
\(872\) | 51.4461 | − | 20.1911i | 1.74218 | − | 0.683757i | ||||
\(873\) | −4.83177 | + | 0.362091i | −0.163531 | + | 0.0122549i | ||||
\(874\) | 18.0714 | − | 119.896i | 0.611273 | − | 4.05553i | ||||
\(875\) | −0.366044 | + | 0.339639i | −0.0123745 | + | 0.0114819i | ||||
\(876\) | 60.9324 | − | 29.3435i | 2.05872 | − | 0.991425i | ||||
\(877\) | −14.8830 | + | 21.8294i | −0.502564 | + | 0.737126i | −0.990763 | − | 0.135606i | \(-0.956702\pi\) |
0.488199 | + | 0.872733i | \(0.337654\pi\) | |||||||
\(878\) | 64.1703 | + | 25.1850i | 2.16564 | + | 0.849952i | ||||
\(879\) | −4.92864 | + | 15.9783i | −0.166239 | + | 0.538933i | ||||
\(880\) | 5.46791 | + | 5.07347i | 0.184323 | + | 0.171027i | ||||
\(881\) | 14.1135 | − | 11.2551i | 0.475495 | − | 0.379194i | −0.356216 | − | 0.934404i | \(-0.615933\pi\) |
0.831711 | + | 0.555209i | \(0.187362\pi\) | |||||||
\(882\) | 25.6318 | + | 32.1413i | 0.863068 | + | 1.08225i | ||||
\(883\) | −22.0455 | − | 20.4552i | −0.741890 | − | 0.688373i | 0.215716 | − | 0.976456i | \(-0.430792\pi\) |
−0.957605 | + | 0.288083i | \(0.906982\pi\) | |||||||
\(884\) | 13.5243 | + | 111.368i | 0.454872 | + | 3.74573i | ||||
\(885\) | 0.348834 | − | 0.888814i | 0.0117259 | − | 0.0298771i | ||||
\(886\) | −65.5968 | − | 44.7231i | −2.20377 | − | 1.50250i | ||||
\(887\) | 10.0246 | + | 20.8163i | 0.336593 | + | 0.698943i | 0.998727 | − | 0.0504426i | \(-0.0160632\pi\) |
−0.662134 | + | 0.749386i | \(0.730349\pi\) | |||||||
\(888\) | 110.384 | − | 102.421i | 3.70424 | − | 3.43703i | ||||
\(889\) | 0.0429207 | − | 0.284760i | 0.00143951 | − | 0.00955055i | ||||
\(890\) | 0.00237865 | 0.000178255i | 7.97324e−5 | 5.97512e-6i | ||||||
\(891\) | 37.0854 | − | 14.5549i | 1.24241 | − | 0.487609i | ||||
\(892\) | −4.94043 | + | 21.6454i | −0.165418 | + | 0.724742i | ||||
\(893\) | 3.77123 | − | 50.3236i | 0.126200 | − | 1.68402i | ||||
\(894\) | 42.3201 | + | 137.198i | 1.41539 | + | 4.58860i | ||||
\(895\) | 0.747584 | − | 1.55237i | 0.0249890 | − | 0.0518901i | ||||
\(896\) | 10.2016 | − | 5.88989i | 0.340811 | − | 0.196767i | ||||
\(897\) | −35.0932 | + | 60.7832i | −1.17173 | + | 2.02949i | ||||
\(898\) | −21.8542 | − | 32.0543i | −0.729285 | − | 1.06966i | ||||
\(899\) | −12.2161 | − | 53.5220i | −0.407428 | − | 1.78506i | ||||
\(900\) | 58.4847 | − | 8.81514i | 1.94949 | − | 0.293838i | ||||
\(901\) | 8.14043 | + | 2.10596i | 0.271197 | + | 0.0701597i | ||||
\(902\) | 50.4308 | 1.67916 | ||||||||
\(903\) | 2.31182 | + | 4.80816i | 0.0769325 | + | 0.160006i | ||||
\(904\) | 132.912i | 4.42059i | ||||||||
\(905\) | 0.781455 | − | 0.979914i | 0.0259765 | − | 0.0325734i | ||||
\(906\) | 5.08933 | + | 33.7655i | 0.169082 | + | 1.12178i | ||||
\(907\) | 26.2639 | − | 5.99457i | 0.872080 | − | 0.199047i | 0.237016 | − | 0.971506i | \(-0.423831\pi\) |
0.635064 | + | 0.772459i | \(0.280974\pi\) | |||||||
\(908\) | 26.1221 | + | 38.3140i | 0.866891 | + | 1.27150i | ||||
\(909\) | 0.587262 | − | 1.01717i | 0.0194783 | − | 0.0337373i | ||||
\(910\) | 0.342849 | + | 0.593832i | 0.0113653 | + | 0.0196853i | ||||
\(911\) | −3.31755 | + | 6.88896i | −0.109915 | + | 0.228241i | −0.948670 | − | 0.316268i | \(-0.897570\pi\) |
0.838755 | + | 0.544510i | \(0.183284\pi\) | |||||||
\(912\) | 70.4418 | + | 228.367i | 2.33256 | + | 7.56197i | ||||
\(913\) | −4.27106 | − | 0.320072i | −0.141352 | − | 0.0105928i | ||||
\(914\) | 14.3960 | − | 63.0730i | 0.476177 | − | 2.08627i | ||||
\(915\) | −2.10863 | + | 0.827577i | −0.0697092 | + | 0.0273589i | ||||
\(916\) | −0.319439 | − | 4.26262i | −0.0105546 | − | 0.140841i | ||||
\(917\) | −0.0581281 | − | 0.00876140i | −0.00191956 | − | 0.000289327i | ||||
\(918\) | −8.03209 | + | 18.8528i | −0.265098 | + | 0.622235i | ||||
\(919\) | −1.36892 | + | 0.659239i | −0.0451566 | + | 0.0217463i | −0.456326 | − | 0.889813i | \(-0.650835\pi\) |
0.411169 | + | 0.911559i | \(0.365121\pi\) | |||||||
\(920\) | −6.55015 | − | 4.46582i | −0.215952 | − | 0.147234i | ||||
\(921\) | −24.9684 | − | 9.79939i | −0.822738 | − | 0.322901i | ||||
\(922\) | 31.6599 | + | 9.76579i | 1.04266 | + | 0.321619i | ||||
\(923\) | −23.5654 | + | 25.3974i | −0.775664 | + | 0.835967i | ||||
\(924\) | −12.7184 | + | 10.1426i | −0.418406 | + | 0.333668i | ||||
\(925\) | 27.7919 | − | 22.1633i | 0.913791 | − | 0.728724i | ||||
\(926\) | 59.3296 | + | 55.0498i | 1.94969 | + | 1.80905i | ||||
\(927\) | −5.32861 | − | 1.64366i | −0.175015 | − | 0.0539849i | ||||
\(928\) | −117.663 | − | 46.1793i | −3.86247 | − | 1.51591i | ||||
\(929\) | 4.68614 | − | 6.87331i | 0.153747 | − | 0.225506i | −0.741635 | − | 0.670803i | \(-0.765950\pi\) |
0.895383 | + | 0.445297i | \(0.146902\pi\) | |||||||
\(930\) | 3.37444 | + | 7.00710i | 0.110652 | + | 0.229772i | ||||
\(931\) | −36.7468 | + | 34.0960i | −1.20433 | + | 1.11745i | ||||
\(932\) | −8.02991 | + | 53.2750i | −0.263028 | + | 1.74508i | ||||
\(933\) | −0.860139 | − | 11.4778i | −0.0281597 | − | 0.375765i | ||||
\(934\) | −14.9580 | − | 38.1124i | −0.489441 | − | 1.24707i | ||||
\(935\) | 2.09935 | − | 0.416050i | 0.0686560 | − | 0.0136063i | ||||
\(936\) | 7.65907 | − | 102.203i | 0.250345 | − | 3.34062i | ||||
\(937\) | −18.9108 | + | 5.83319i | −0.617787 | + | 0.190562i | −0.587824 | − | 0.808989i | \(-0.700015\pi\) |
−0.0299633 | + | 0.999551i | \(0.509539\pi\) | |||||||
\(938\) | 1.30353 | − | 2.70681i | 0.0425617 | − | 0.0883804i | ||||
\(939\) | 19.6721 | + | 34.0731i | 0.641975 | + | 1.11193i | ||||
\(940\) | −4.53778 | − | 2.61989i | −0.148006 | − | 0.0854513i | ||||
\(941\) | 12.4621 | + | 18.2785i | 0.406252 | + | 0.595862i | 0.973780 | − | 0.227492i | \(-0.0730526\pi\) |
−0.567528 | + | 0.823354i | \(0.692100\pi\) | |||||||
\(942\) | −82.8468 | + | 18.9092i | −2.69930 | + | 0.616096i | ||||
\(943\) | −30.2561 | + | 4.56037i | −0.985274 | + | 0.148506i | ||||
\(944\) | −26.7587 | + | 33.5543i | −0.870921 | + | 1.09210i | ||||
\(945\) | 0.0914058i | 0.00297343i | ||||||||
\(946\) | 59.5185 | − | 28.6172i | 1.93511 | − | 0.930424i | ||||
\(947\) | − | 53.9327i | − | 1.75258i | −0.481786 | − | 0.876289i | \(-0.660012\pi\) | ||
0.481786 | − | 0.876289i | \(-0.339988\pi\) | |||||||
\(948\) | −75.9531 | + | 95.2422i | −2.46684 | + | 3.09332i | ||||
\(949\) | −4.12328 | − | 27.3562i | −0.133847 | − | 0.888019i | ||||
\(950\) | 21.9906 | + | 96.3473i | 0.713471 | + | 3.12592i | ||||
\(951\) | −31.0139 | + | 21.1449i | −1.00570 | + | 0.685672i | ||||
\(952\) | 1.40717 | − | 13.5402i | 0.0456066 | − | 0.438839i | ||||
\(953\) | −22.5955 | − | 39.1366i | −0.731941 | − | 1.26776i | −0.956052 | − | 0.293196i | \(-0.905281\pi\) |
0.224111 | − | 0.974564i | \(-0.428052\pi\) | |||||||
\(954\) | −10.9907 | − | 5.29283i | −0.355836 | − | 0.171362i | ||||
\(955\) | −0.634244 | − | 2.05617i | −0.0205236 | − | 0.0665360i | ||||
\(956\) | −7.79688 | + | 104.042i | −0.252169 | + | 3.36496i | ||||
\(957\) | 50.5217 | + | 11.5312i | 1.63313 | + | 0.372752i | ||||
\(958\) | −4.62841 | + | 1.81652i | −0.149537 | + | 0.0586890i | ||||
\(959\) | −6.71027 | + | 0.502865i | −0.216686 | + | 0.0162384i | ||||
\(960\) | 8.62104 | + | 1.29941i | 0.278243 | + | 0.0419384i | ||||
\(961\) | 35.8893 | − | 33.3004i | 1.15772 | − | 1.07421i | ||||
\(962\) | −42.4423 | − | 88.1323i | −1.36839 | − | 2.84150i | ||||
\(963\) | −17.5161 | + | 25.6915i | −0.564450 | + | 0.827896i | ||||
\(964\) | 150.261 | + | 58.9731i | 4.83958 | + | 1.89939i | ||||
\(965\) | 2.83236 | + | 0.873668i | 0.0911769 | + | 0.0281244i | ||||
\(966\) | 9.19915 | − | 9.91433i | 0.295978 | − | 0.318988i | ||||
\(967\) | −1.33167 | − | 1.66986i | −0.0428235 | − | 0.0536990i | 0.759959 | − | 0.649972i | \(-0.225219\pi\) |
−0.802782 | + | 0.596273i | \(0.796648\pi\) | |||||||
\(968\) | 15.6013 | + | 19.5635i | 0.501446 | + | 0.628793i | ||||
\(969\) | 64.9152 | + | 22.0867i | 2.08538 | + | 0.709527i | ||||
\(970\) | −0.803263 | − | 0.247774i | −0.0257912 | − | 0.00795554i | ||||
\(971\) | 2.73560 | − | 6.97019i | 0.0877895 | − | 0.223684i | −0.880236 | − | 0.474537i | \(-0.842616\pi\) |
0.968025 | + | 0.250852i | \(0.0807109\pi\) | |||||||
\(972\) | 57.9819 | − | 85.0439i | 1.85977 | − | 2.72778i | ||||
\(973\) | −0.990092 | + | 0.476803i | −0.0317409 | + | 0.0152856i | ||||
\(974\) | −4.18163 | − | 4.50672i | −0.133988 | − | 0.144405i | ||||
\(975\) | 8.52605 | − | 56.5666i | 0.273052 | − | 1.81158i | ||||
\(976\) | 101.533 | − | 7.60888i | 3.25001 | − | 0.243554i | ||||
\(977\) | −19.1857 | − | 48.8844i | −0.613806 | − | 1.56395i | −0.811917 | − | 0.583773i | \(-0.801576\pi\) |
0.198111 | − | 0.980180i | \(-0.436519\pi\) | |||||||
\(978\) | −23.1155 | + | 101.276i | −0.739151 | + | 3.23843i | ||||
\(979\) | 0.0230841 | + | 0.00172991i | 0.000737770 | + | 5.52882e-5i | ||||
\(980\) | 1.53416 | + | 4.97362i | 0.0490069 | + | 0.158876i | ||||
\(981\) | −5.69814 | + | 11.8323i | −0.181928 | + | 0.377777i | ||||
\(982\) | 24.3288 | + | 42.1387i | 0.776364 | + | 1.34470i | ||||
\(983\) | −39.9160 | − | 23.0455i | −1.27312 | − | 0.735037i | −0.297548 | − | 0.954707i | \(-0.596169\pi\) |
−0.975574 | + | 0.219670i | \(0.929502\pi\) | |||||||
\(984\) | 87.2867 | − | 59.5111i | 2.78260 | − | 1.89714i | ||||
\(985\) | −0.590834 | − | 2.58861i | −0.0188255 | − | 0.0824801i | ||||
\(986\) | −57.9911 | + | 37.1414i | −1.84681 | + | 1.18282i | ||||
\(987\) | 3.50965 | − | 4.40097i | 0.111714 | − | 0.140084i | ||||
\(988\) | 198.461 | 6.31389 | ||||||||
\(989\) | −33.1205 | + | 22.5511i | −1.05317 | + | 0.717083i | ||||
\(990\) | −3.10491 | −0.0986806 | ||||||||
\(991\) | −16.8839 | − | 13.4645i | −0.536335 | − | 0.427713i | 0.317499 | − | 0.948259i | \(-0.397157\pi\) |
−0.853834 | + | 0.520546i | \(0.825728\pi\) | |||||||
\(992\) | −27.4387 | − | 182.044i | −0.871180 | − | 5.77990i | ||||
\(993\) | 14.9622 | − | 3.41502i | 0.474811 | − | 0.108373i | ||||
\(994\) | 5.51616 | − | 3.76085i | 0.174962 | − | 0.119287i | ||||
\(995\) | 0.256822 | − | 0.444829i | 0.00814182 | − | 0.0141020i | ||||
\(996\) | −12.3393 | + | 7.12409i | −0.390985 | + | 0.225735i | ||||
\(997\) | −25.7705 | + | 53.5129i | −0.816159 | + | 1.69477i | −0.102005 | + | 0.994784i | \(0.532526\pi\) |
−0.714154 | + | 0.699988i | \(0.753189\pi\) | |||||||
\(998\) | −1.85723 | − | 6.02099i | −0.0587896 | − | 0.190591i | ||||
\(999\) | 0.974455 | − | 13.0032i | 0.0308304 | − | 0.411403i |
(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 | 731.2.z.a.67.1 | ✓ | 768 | |
17.16 | even | 2 | inner | 731.2.z.a.67.2 | yes | 768 | |
43.9 | even | 21 | inner | 731.2.z.a.611.2 | yes | 768 | |
731.611 | even | 42 | inner | 731.2.z.a.611.1 | yes | 768 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
731.2.z.a.67.1 | ✓ | 768 | 1.1 | even | 1 | trivial | |
731.2.z.a.67.2 | yes | 768 | 17.16 | even | 2 | inner | |
731.2.z.a.611.1 | yes | 768 | 731.611 | even | 42 | inner | |
731.2.z.a.611.2 | yes | 768 | 43.9 | even | 21 | inner |