Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [171,2,Mod(106,171)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(171, base_ring=CyclotomicField(6))
chi = DirichletCharacter(H, H._module([4, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("171.106");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 171 = 3^{2} \cdot 19 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 171.g (of order \(3\), degree \(2\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.36544187456\) |
Analytic rank: | \(0\) |
Dimension: | \(32\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{3})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{3}]$ |
Embedding invariants
Embedding label | 121.1 | ||
Character | \(\chi\) | \(=\) | 171.121 |
Dual form | 171.2.g.c.106.1 |
$q$-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 \(\left(\mathbb{Z}/171\mathbb{Z}\right)^\times\).
\(n\) | \(20\) | \(154\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{1}{3}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −1.23404 | + | 2.13742i | −0.872597 | + | 1.51138i | −0.0132953 | + | 0.999912i | \(0.504232\pi\) |
−0.859301 | + | 0.511470i | \(0.829101\pi\) | |||||||
\(3\) | 1.62292 | − | 0.605076i | 0.936996 | − | 0.349341i | ||||
\(4\) | −2.04570 | − | 3.54325i | −1.02285 | − | 1.77163i | ||||
\(5\) | 1.91524 | 0.856521 | 0.428260 | − | 0.903655i | \(-0.359127\pi\) | ||||
0.428260 | + | 0.903655i | \(0.359127\pi\) | |||||||
\(6\) | −0.709450 | + | 4.21555i | −0.289632 | + | 1.72099i | ||||
\(7\) | −0.324708 | − | 0.562412i | −0.122728 | − | 0.212572i | 0.798114 | − | 0.602506i | \(-0.205831\pi\) |
−0.920843 | + | 0.389934i | \(0.872498\pi\) | |||||||
\(8\) | 5.16173 | 1.82495 | ||||||||
\(9\) | 2.26777 | − | 1.96399i | 0.755922 | − | 0.654662i | ||||
\(10\) | −2.36348 | + | 4.09366i | −0.747397 | + | 1.29453i | ||||
\(11\) | 2.93240 | + | 5.07906i | 0.884151 | + | 1.53140i | 0.846683 | + | 0.532097i | \(0.178596\pi\) |
0.0374684 | + | 0.999298i | \(0.488071\pi\) | |||||||
\(12\) | −5.46395 | − | 4.51263i | −1.57731 | − | 1.30268i | ||||
\(13\) | 0.327691 | + | 0.567577i | 0.0908851 | + | 0.157418i | 0.907884 | − | 0.419222i | \(-0.137697\pi\) |
−0.816999 | + | 0.576639i | \(0.804364\pi\) | |||||||
\(14\) | 1.60281 | 0.428369 | ||||||||
\(15\) | 3.10829 | − | 1.15887i | 0.802556 | − | 0.299218i | ||||
\(16\) | −2.27837 | + | 3.94625i | −0.569592 | + | 0.986563i | ||||
\(17\) | −1.93700 | − | 3.35499i | −0.469792 | − | 0.813704i | 0.529611 | − | 0.848241i | \(-0.322338\pi\) |
−0.999403 | + | 0.0345362i | \(0.989005\pi\) | |||||||
\(18\) | 1.39935 | + | 7.27079i | 0.329829 | + | 1.71374i | ||||
\(19\) | −4.28438 | + | 0.802530i | −0.982905 | + | 0.184113i | ||||
\(20\) | −3.91800 | − | 6.78618i | −0.876092 | − | 1.51744i | ||||
\(21\) | −0.867279 | − | 0.716278i | −0.189256 | − | 0.156305i | ||||
\(22\) | −14.4748 | −3.08603 | ||||||||
\(23\) | 0.961768 | + | 1.66583i | 0.200542 | + | 0.347350i | 0.948703 | − | 0.316168i | \(-0.102396\pi\) |
−0.748161 | + | 0.663517i | \(0.769063\pi\) | |||||||
\(24\) | 8.37709 | − | 3.12324i | 1.70997 | − | 0.637528i | ||||
\(25\) | −1.33186 | −0.266372 | ||||||||
\(26\) | −1.61753 | −0.317224 | ||||||||
\(27\) | 2.49205 | − | 4.55957i | 0.479595 | − | 0.877490i | ||||
\(28\) | −1.32851 | + | 2.30105i | −0.251065 | + | 0.434857i | ||||
\(29\) | −6.53639 | −1.21378 | −0.606888 | − | 0.794787i | \(-0.707582\pi\) | ||||
−0.606888 | + | 0.794787i | \(0.707582\pi\) | |||||||
\(30\) | −1.35877 | + | 8.07379i | −0.248076 | + | 1.47406i | ||||
\(31\) | 1.54544 | − | 2.67678i | 0.277569 | − | 0.480764i | −0.693211 | − | 0.720735i | \(-0.743805\pi\) |
0.970780 | + | 0.239971i | \(0.0771380\pi\) | |||||||
\(32\) | −0.461461 | − | 0.799274i | −0.0815755 | − | 0.141293i | ||||
\(33\) | 7.83228 | + | 6.46861i | 1.36343 | + | 1.12604i | ||||
\(34\) | 9.56134 | 1.63976 | ||||||||
\(35\) | −0.621894 | − | 1.07715i | −0.105119 | − | 0.182072i | ||||
\(36\) | −11.5981 | − | 4.01755i | −1.93301 | − | 0.669591i | ||||
\(37\) | 2.23125 | 0.366816 | 0.183408 | − | 0.983037i | \(-0.441287\pi\) | ||||
0.183408 | + | 0.983037i | \(0.441287\pi\) | |||||||
\(38\) | 3.57175 | − | 10.1479i | 0.579415 | − | 1.64620i | ||||
\(39\) | 0.875245 | + | 0.722857i | 0.140151 | + | 0.115750i | ||||
\(40\) | 9.88594 | 1.56310 | ||||||||
\(41\) | −6.96810 | −1.08823 | −0.544117 | − | 0.839009i | \(-0.683135\pi\) | ||||
−0.544117 | + | 0.839009i | \(0.683135\pi\) | |||||||
\(42\) | 2.60124 | − | 0.969822i | 0.401380 | − | 0.149647i | ||||
\(43\) | 4.46940 | − | 7.74122i | 0.681576 | − | 1.18052i | −0.292923 | − | 0.956136i | \(-0.594628\pi\) |
0.974500 | − | 0.224389i | \(-0.0720386\pi\) | |||||||
\(44\) | 11.9976 | − | 20.7805i | 1.80871 | − | 3.13277i | ||||
\(45\) | 4.34331 | − | 3.76150i | 0.647463 | − | 0.560731i | ||||
\(46\) | −4.74743 | −0.699971 | ||||||||
\(47\) | 11.5497 | 1.68470 | 0.842352 | − | 0.538928i | \(-0.181171\pi\) | ||||
0.842352 | + | 0.538928i | \(0.181171\pi\) | |||||||
\(48\) | −1.30984 | + | 7.78305i | −0.189059 | + | 1.12339i | ||||
\(49\) | 3.28913 | − | 5.69694i | 0.469876 | − | 0.813848i | ||||
\(50\) | 1.64357 | − | 2.84674i | 0.232436 | − | 0.402590i | ||||
\(51\) | −5.17363 | − | 4.27286i | −0.724454 | − | 0.598320i | ||||
\(52\) | 1.34071 | − | 2.32218i | 0.185923 | − | 0.322029i | ||||
\(53\) | −6.35124 | + | 11.0007i | −0.872409 | + | 1.51106i | −0.0129124 | + | 0.999917i | \(0.504110\pi\) |
−0.859497 | + | 0.511141i | \(0.829223\pi\) | |||||||
\(54\) | 6.67042 | + | 10.9532i | 0.907729 | + | 1.49055i | ||||
\(55\) | 5.61624 | + | 9.72762i | 0.757294 | + | 1.31167i | ||||
\(56\) | −1.67606 | − | 2.90302i | −0.223972 | − | 0.387932i | ||||
\(57\) | −6.46764 | + | 3.89482i | −0.856660 | + | 0.515882i | ||||
\(58\) | 8.06615 | − | 13.9710i | 1.05914 | − | 1.83448i | ||||
\(59\) | −14.3346 | −1.86621 | −0.933103 | − | 0.359609i | \(-0.882910\pi\) | ||||
−0.933103 | + | 0.359609i | \(0.882910\pi\) | |||||||
\(60\) | −10.4648 | − | 8.64276i | −1.35100 | − | 1.11578i | ||||
\(61\) | −10.3431 | −1.32430 | −0.662150 | − | 0.749372i | \(-0.730356\pi\) | ||||
−0.662150 | + | 0.749372i | \(0.730356\pi\) | |||||||
\(62\) | 3.81426 | + | 6.60649i | 0.484411 | + | 0.839025i | ||||
\(63\) | −1.84093 | − | 0.637695i | −0.231935 | − | 0.0803420i | ||||
\(64\) | −6.83564 | −0.854455 | ||||||||
\(65\) | 0.627606 | + | 1.08705i | 0.0778449 | + | 0.134831i | ||||
\(66\) | −23.4914 | + | 8.75834i | −2.89160 | + | 1.07808i | ||||
\(67\) | −0.381945 | − | 0.661549i | −0.0466620 | − | 0.0808210i | 0.841751 | − | 0.539866i | \(-0.181525\pi\) |
−0.888413 | + | 0.459045i | \(0.848192\pi\) | |||||||
\(68\) | −7.92505 | + | 13.7266i | −0.961054 | + | 1.66459i | ||||
\(69\) | 2.56883 | + | 2.12157i | 0.309251 | + | 0.255407i | ||||
\(70\) | 3.06976 | 0.366907 | ||||||||
\(71\) | −0.299796 | − | 0.519263i | −0.0355793 | − | 0.0616251i | 0.847687 | − | 0.530496i | \(-0.177994\pi\) |
−0.883267 | + | 0.468871i | \(0.844661\pi\) | |||||||
\(72\) | 11.7056 | − | 10.1376i | 1.37952 | − | 1.19472i | ||||
\(73\) | 1.75541 | + | 3.04046i | 0.205455 | + | 0.355859i | 0.950278 | − | 0.311404i | \(-0.100799\pi\) |
−0.744822 | + | 0.667263i | \(0.767466\pi\) | |||||||
\(74\) | −2.75345 | + | 4.76912i | −0.320082 | + | 0.554399i | ||||
\(75\) | −2.16151 | + | 0.805878i | −0.249590 | + | 0.0930548i | ||||
\(76\) | 11.6081 | + | 13.5389i | 1.33154 | + | 1.55302i | ||||
\(77\) | 1.90435 | − | 3.29843i | 0.217021 | − | 0.375891i | ||||
\(78\) | −2.62513 | + | 0.978730i | −0.297238 | + | 0.110819i | ||||
\(79\) | 2.13479 | − | 3.69756i | 0.240182 | − | 0.416008i | −0.720584 | − | 0.693368i | \(-0.756126\pi\) |
0.960766 | + | 0.277360i | \(0.0894594\pi\) | |||||||
\(80\) | −4.36362 | + | 7.55801i | −0.487868 | + | 0.845012i | ||||
\(81\) | 1.28552 | − | 8.90772i | 0.142836 | − | 0.989746i | ||||
\(82\) | 8.59890 | − | 14.8937i | 0.949590 | − | 1.64474i | ||||
\(83\) | −3.29968 | − | 5.71522i | −0.362187 | − | 0.627327i | 0.626133 | − | 0.779716i | \(-0.284637\pi\) |
−0.988321 | + | 0.152389i | \(0.951303\pi\) | |||||||
\(84\) | −0.763763 | + | 4.53828i | −0.0833334 | + | 0.495167i | ||||
\(85\) | −3.70982 | − | 6.42560i | −0.402387 | − | 0.696955i | ||||
\(86\) | 11.0308 | + | 19.1059i | 1.18948 | + | 2.06024i | ||||
\(87\) | −10.6081 | + | 3.95501i | −1.13730 | + | 0.424022i | ||||
\(88\) | 15.1362 | + | 26.2167i | 1.61353 | + | 2.79471i | ||||
\(89\) | 2.41922 | − | 4.19022i | 0.256437 | − | 0.444162i | −0.708848 | − | 0.705361i | \(-0.750785\pi\) |
0.965285 | + | 0.261200i | \(0.0841180\pi\) | |||||||
\(90\) | 2.68008 | + | 13.9253i | 0.282506 | + | 1.46786i | ||||
\(91\) | 0.212808 | − | 0.368594i | 0.0223083 | − | 0.0386392i | ||||
\(92\) | 3.93497 | − | 6.81558i | 0.410249 | − | 0.710573i | ||||
\(93\) | 0.888475 | − | 5.27932i | 0.0921305 | − | 0.547440i | ||||
\(94\) | −14.2528 | + | 24.6866i | −1.47007 | + | 2.54623i | ||||
\(95\) | −8.20562 | + | 1.53704i | −0.841879 | + | 0.157697i | ||||
\(96\) | −1.23254 | − | 1.01794i | −0.125795 | − | 0.103893i | ||||
\(97\) | −1.19452 | + | 2.06897i | −0.121285 | + | 0.210072i | −0.920275 | − | 0.391273i | \(-0.872035\pi\) |
0.798990 | + | 0.601345i | \(0.205368\pi\) | |||||||
\(98\) | 8.11782 | + | 14.0605i | 0.820024 | + | 1.42032i | ||||
\(99\) | 16.6252 | + | 5.75894i | 1.67090 | + | 0.578795i | ||||
\(100\) | 2.72459 | + | 4.71912i | 0.272459 | + | 0.471912i | ||||
\(101\) | −7.44414 | −0.740720 | −0.370360 | − | 0.928888i | \(-0.620766\pi\) | ||||
−0.370360 | + | 0.928888i | \(0.620766\pi\) | |||||||
\(102\) | 15.5173 | − | 5.78534i | 1.53645 | − | 0.572834i | ||||
\(103\) | −0.709718 | + | 1.22927i | −0.0699306 | + | 0.121123i | −0.898871 | − | 0.438214i | \(-0.855611\pi\) |
0.828940 | + | 0.559338i | \(0.188944\pi\) | |||||||
\(104\) | 1.69145 | + | 2.92968i | 0.165860 | + | 0.287279i | ||||
\(105\) | −1.66105 | − | 1.37184i | −0.162102 | − | 0.133878i | ||||
\(106\) | −15.6753 | − | 27.1505i | −1.52252 | − | 2.63709i | ||||
\(107\) | 7.56837 | 0.731662 | 0.365831 | − | 0.930681i | \(-0.380785\pi\) | ||||
0.365831 | + | 0.930681i | \(0.380785\pi\) | |||||||
\(108\) | −21.2537 | + | 0.497542i | −2.04514 | + | 0.0478760i | ||||
\(109\) | 3.79611 | + | 6.57506i | 0.363602 | + | 0.629776i | 0.988551 | − | 0.150889i | \(-0.0482136\pi\) |
−0.624949 | + | 0.780665i | \(0.714880\pi\) | |||||||
\(110\) | −27.7226 | −2.64325 | ||||||||
\(111\) | 3.62116 | − | 1.35008i | 0.343705 | − | 0.128144i | ||||
\(112\) | 2.95922 | 0.279620 | ||||||||
\(113\) | 2.44573 | − | 4.23613i | 0.230075 | − | 0.398502i | −0.727755 | − | 0.685837i | \(-0.759436\pi\) |
0.957830 | + | 0.287335i | \(0.0927694\pi\) | |||||||
\(114\) | −0.343550 | − | 18.6304i | −0.0321764 | − | 1.74490i | ||||
\(115\) | 1.84201 | + | 3.19046i | 0.171769 | + | 0.297512i | ||||
\(116\) | 13.3715 | + | 23.1601i | 1.24151 | + | 2.15036i | ||||
\(117\) | 1.85784 | + | 0.643552i | 0.171757 | + | 0.0594964i | ||||
\(118\) | 17.6894 | − | 30.6390i | 1.62845 | − | 2.82055i | ||||
\(119\) | −1.25792 | + | 2.17879i | −0.115314 | + | 0.199729i | ||||
\(120\) | 16.0441 | − | 5.98175i | 1.46462 | − | 0.546056i | ||||
\(121\) | −11.6979 | + | 20.2614i | −1.06345 | + | 1.84195i | ||||
\(122\) | 12.7638 | − | 22.1075i | 1.15558 | − | 2.00152i | ||||
\(123\) | −11.3087 | + | 4.21623i | −1.01967 | + | 0.380165i | ||||
\(124\) | −12.6460 | −1.13565 | ||||||||
\(125\) | −12.1270 | −1.08467 | ||||||||
\(126\) | 3.63480 | − | 3.14790i | 0.323813 | − | 0.280437i | ||||
\(127\) | −3.57756 | + | 6.19651i | −0.317457 | + | 0.549852i | −0.979957 | − | 0.199210i | \(-0.936162\pi\) |
0.662500 | + | 0.749062i | \(0.269496\pi\) | |||||||
\(128\) | 9.35836 | − | 16.2091i | 0.827170 | − | 1.43270i | ||||
\(129\) | 2.56946 | − | 15.2677i | 0.226228 | − | 1.34425i | ||||
\(130\) | −3.09796 | −0.271709 | ||||||||
\(131\) | 6.82633 | 0.596419 | 0.298209 | − | 0.954500i | \(-0.403611\pi\) | ||||
0.298209 | + | 0.954500i | \(0.403611\pi\) | |||||||
\(132\) | 6.89744 | − | 40.9846i | 0.600345 | − | 3.56725i | ||||
\(133\) | 1.84253 | + | 2.14900i | 0.159767 | + | 0.186342i | ||||
\(134\) | 1.88534 | 0.162869 | ||||||||
\(135\) | 4.77287 | − | 8.73267i | 0.410783 | − | 0.751588i | ||||
\(136\) | −9.99829 | − | 17.3175i | −0.857346 | − | 1.48497i | ||||
\(137\) | 10.2964 | 0.879684 | 0.439842 | − | 0.898075i | \(-0.355034\pi\) | ||||
0.439842 | + | 0.898075i | \(0.355034\pi\) | |||||||
\(138\) | −7.70472 | + | 2.87256i | −0.655869 | + | 0.244528i | ||||
\(139\) | −1.43344 | − | 2.48279i | −0.121583 | − | 0.210587i | 0.798809 | − | 0.601584i | \(-0.205464\pi\) |
−0.920392 | + | 0.390997i | \(0.872130\pi\) | |||||||
\(140\) | −2.54442 | + | 4.40706i | −0.215042 | + | 0.372464i | ||||
\(141\) | 18.7444 | − | 6.98848i | 1.57856 | − | 0.588536i | ||||
\(142\) | 1.47984 | 0.124185 | ||||||||
\(143\) | −1.92184 | + | 3.32872i | −0.160712 | + | 0.278362i | ||||
\(144\) | 2.58357 | + | 13.4239i | 0.215298 | + | 1.11865i | ||||
\(145\) | −12.5187 | −1.03962 | ||||||||
\(146\) | −8.66497 | −0.717118 | ||||||||
\(147\) | 1.89092 | − | 11.2359i | 0.155961 | − | 0.926719i | ||||
\(148\) | −4.56447 | − | 7.90590i | −0.375198 | − | 0.649861i | ||||
\(149\) | −8.16603 | −0.668987 | −0.334493 | − | 0.942398i | \(-0.608565\pi\) | ||||
−0.334493 | + | 0.942398i | \(0.608565\pi\) | |||||||
\(150\) | 0.944889 | − | 5.61453i | 0.0771499 | − | 0.458425i | ||||
\(151\) | 10.2584 | + | 17.7681i | 0.834818 | + | 1.44595i | 0.894179 | + | 0.447711i | \(0.147761\pi\) |
−0.0593605 | + | 0.998237i | \(0.518906\pi\) | |||||||
\(152\) | −22.1148 | + | 4.14244i | −1.79375 | + | 0.335996i | ||||
\(153\) | −10.9818 | − | 3.80408i | −0.887828 | − | 0.307542i | ||||
\(154\) | 4.70008 | + | 8.14077i | 0.378743 | + | 0.656002i | ||||
\(155\) | 2.95988 | − | 5.12667i | 0.237744 | − | 0.411784i | ||||
\(156\) | 0.770778 | − | 4.57996i | 0.0617116 | − | 0.366690i | ||||
\(157\) | −1.46067 | −0.116574 | −0.0582869 | − | 0.998300i | \(-0.518564\pi\) | ||||
−0.0582869 | + | 0.998300i | \(0.518564\pi\) | |||||||
\(158\) | 5.26882 | + | 9.12586i | 0.419165 | + | 0.726015i | ||||
\(159\) | −3.65133 | + | 21.6962i | −0.289570 | + | 1.72062i | ||||
\(160\) | −0.883808 | − | 1.53080i | −0.0698711 | − | 0.121020i | ||||
\(161\) | 0.624588 | − | 1.08182i | 0.0492244 | − | 0.0852592i | ||||
\(162\) | 17.4531 | + | 13.7402i | 1.37125 | + | 1.07953i | ||||
\(163\) | 18.1874 | 1.42455 | 0.712274 | − | 0.701901i | \(-0.247665\pi\) | ||||
0.712274 | + | 0.701901i | \(0.247665\pi\) | |||||||
\(164\) | 14.2546 | + | 24.6897i | 1.11310 | + | 1.92795i | ||||
\(165\) | 15.0007 | + | 12.3889i | 1.16780 | + | 0.964477i | ||||
\(166\) | 16.2877 | 1.26417 | ||||||||
\(167\) | 4.44733 | + | 7.70301i | 0.344145 | + | 0.596077i | 0.985198 | − | 0.171420i | \(-0.0548355\pi\) |
−0.641053 | + | 0.767497i | \(0.721502\pi\) | |||||||
\(168\) | −4.47666 | − | 3.69723i | −0.345382 | − | 0.285248i | ||||
\(169\) | 6.28524 | − | 10.8864i | 0.483480 | − | 0.837412i | ||||
\(170\) | 18.3123 | 1.40449 | ||||||||
\(171\) | −8.13982 | + | 10.2344i | −0.622468 | + | 0.782646i | ||||
\(172\) | −36.5721 | −2.78860 | ||||||||
\(173\) | −4.78285 | + | 8.28413i | −0.363633 | + | 0.629831i | −0.988556 | − | 0.150856i | \(-0.951797\pi\) |
0.624923 | + | 0.780687i | \(0.285130\pi\) | |||||||
\(174\) | 4.63724 | − | 27.5545i | 0.351548 | − | 2.08890i | ||||
\(175\) | 0.432467 | + | 0.749054i | 0.0326914 | + | 0.0566232i | ||||
\(176\) | −26.7244 | −2.01442 | ||||||||
\(177\) | −23.2640 | + | 8.67353i | −1.74863 | + | 0.651942i | ||||
\(178\) | 5.97082 | + | 10.3418i | 0.447532 | + | 0.775148i | ||||
\(179\) | 0.464358 | 0.0347078 | 0.0173539 | − | 0.999849i | \(-0.494476\pi\) | ||||
0.0173539 | + | 0.999849i | \(0.494476\pi\) | |||||||
\(180\) | −22.2131 | − | 7.69456i | −1.65566 | − | 0.573519i | ||||
\(181\) | 4.32082 | − | 7.48388i | 0.321164 | − | 0.556272i | −0.659564 | − | 0.751648i | \(-0.729259\pi\) |
0.980728 | + | 0.195376i | \(0.0625926\pi\) | |||||||
\(182\) | 0.525226 | + | 0.909718i | 0.0389324 | + | 0.0674328i | ||||
\(183\) | −16.7861 | + | 6.25837i | −1.24086 | + | 0.462632i | ||||
\(184\) | 4.96438 | + | 8.59856i | 0.365979 | + | 0.633895i | ||||
\(185\) | 4.27338 | 0.314185 | ||||||||
\(186\) | 10.1877 | + | 8.41392i | 0.746997 | + | 0.616938i | ||||
\(187\) | 11.3601 | − | 19.6763i | 0.830735 | − | 1.43888i | ||||
\(188\) | −23.6273 | − | 40.9237i | −1.72320 | − | 2.98467i | ||||
\(189\) | −3.37354 | + | 0.0789736i | −0.245389 | + | 0.00574448i | ||||
\(190\) | 6.84076 | − | 19.4356i | 0.496281 | − | 1.41001i | ||||
\(191\) | 11.1012 | + | 19.2279i | 0.803256 | + | 1.39128i | 0.917462 | + | 0.397823i | \(0.130234\pi\) |
−0.114206 | + | 0.993457i | \(0.536432\pi\) | |||||||
\(192\) | −11.0937 | + | 4.13608i | −0.800620 | + | 0.298496i | ||||
\(193\) | −4.72110 | −0.339832 | −0.169916 | − | 0.985459i | \(-0.554350\pi\) | ||||
−0.169916 | + | 0.985459i | \(0.554350\pi\) | |||||||
\(194\) | −2.94817 | − | 5.10638i | −0.211666 | − | 0.366616i | ||||
\(195\) | 1.67630 | + | 1.38444i | 0.120043 | + | 0.0991420i | ||||
\(196\) | −26.9143 | −1.92245 | ||||||||
\(197\) | 8.23403 | 0.586650 | 0.293325 | − | 0.956013i | \(-0.405238\pi\) | ||||
0.293325 | + | 0.956013i | \(0.405238\pi\) | |||||||
\(198\) | −32.8254 | + | 28.4282i | −2.33280 | + | 2.02031i | ||||
\(199\) | −1.32235 | + | 2.29038i | −0.0937389 | + | 0.162361i | −0.909082 | − | 0.416618i | \(-0.863215\pi\) |
0.815343 | + | 0.578979i | \(0.196549\pi\) | |||||||
\(200\) | −6.87471 | −0.486115 | ||||||||
\(201\) | −1.02016 | − | 0.842537i | −0.0719562 | − | 0.0594280i | ||||
\(202\) | 9.18635 | − | 15.9112i | 0.646349 | − | 1.11951i | ||||
\(203\) | 2.12242 | + | 3.67614i | 0.148965 | + | 0.258014i | ||||
\(204\) | −4.55612 | + | 27.0725i | −0.318992 | + | 1.89545i | ||||
\(205\) | −13.3456 | −0.932095 | ||||||||
\(206\) | −1.75164 | − | 3.03393i | −0.122042 | − | 0.211384i | ||||
\(207\) | 5.45273 | + | 1.88881i | 0.378991 | + | 0.131282i | ||||
\(208\) | −2.98640 | −0.207070 | ||||||||
\(209\) | −16.6396 | − | 19.4073i | −1.15099 | − | 1.34243i | ||||
\(210\) | 4.98199 | − | 1.85744i | 0.343790 | − | 0.128176i | ||||
\(211\) | 16.5480 | 1.13921 | 0.569605 | − | 0.821919i | \(-0.307096\pi\) | ||||
0.569605 | + | 0.821919i | \(0.307096\pi\) | |||||||
\(212\) | 51.9709 | 3.56937 | ||||||||
\(213\) | −0.800741 | − | 0.661324i | −0.0548658 | − | 0.0453132i | ||||
\(214\) | −9.33966 | + | 16.1768i | −0.638446 | + | 1.10582i | ||||
\(215\) | 8.55996 | − | 14.8263i | 0.583784 | − | 1.01114i | ||||
\(216\) | 12.8633 | − | 23.5353i | 0.875236 | − | 1.60137i | ||||
\(217\) | −2.00727 | −0.136262 | ||||||||
\(218\) | −18.7382 | −1.26911 | ||||||||
\(219\) | 4.68861 | + | 3.87228i | 0.316827 | + | 0.261664i | ||||
\(220\) | 22.9783 | − | 39.7996i | 1.54920 | − | 2.68329i | ||||
\(221\) | 1.26948 | − | 2.19880i | 0.0853942 | − | 0.147907i | ||||
\(222\) | −1.58296 | + | 9.40597i | −0.106242 | + | 0.631287i | ||||
\(223\) | −4.62185 | + | 8.00529i | −0.309502 | + | 0.536074i | −0.978254 | − | 0.207413i | \(-0.933496\pi\) |
0.668751 | + | 0.743486i | \(0.266829\pi\) | |||||||
\(224\) | −0.299680 | + | 0.519062i | −0.0200232 | + | 0.0346813i | ||||
\(225\) | −3.02035 | + | 2.61576i | −0.201357 | + | 0.174384i | ||||
\(226\) | 6.03625 | + | 10.4551i | 0.401526 | + | 0.695463i | ||||
\(227\) | 5.24132 | + | 9.07823i | 0.347879 | + | 0.602544i | 0.985872 | − | 0.167498i | \(-0.0535688\pi\) |
−0.637994 | + | 0.770042i | \(0.720235\pi\) | |||||||
\(228\) | 27.0312 | + | 14.9488i | 1.79018 | + | 0.990012i | ||||
\(229\) | −8.81057 | + | 15.2604i | −0.582219 | + | 1.00843i | 0.412997 | + | 0.910732i | \(0.364482\pi\) |
−0.995216 | + | 0.0977001i | \(0.968851\pi\) | |||||||
\(230\) | −9.09246 | −0.599539 | ||||||||
\(231\) | 1.09481 | − | 6.50538i | 0.0720334 | − | 0.428022i | ||||
\(232\) | −33.7391 | −2.21508 | ||||||||
\(233\) | −3.40859 | − | 5.90385i | −0.223304 | − | 0.386774i | 0.732505 | − | 0.680762i | \(-0.238351\pi\) |
−0.955809 | + | 0.293987i | \(0.905018\pi\) | |||||||
\(234\) | −3.66818 | + | 3.17681i | −0.239797 | + | 0.207674i | ||||
\(235\) | 22.1205 | 1.44298 | ||||||||
\(236\) | 29.3243 | + | 50.7911i | 1.90885 | + | 3.30622i | ||||
\(237\) | 1.22729 | − | 7.29257i | 0.0797212 | − | 0.473704i | ||||
\(238\) | −3.10465 | − | 5.37741i | −0.201245 | − | 0.348566i | ||||
\(239\) | 6.77458 | − | 11.7339i | 0.438211 | − | 0.759004i | −0.559340 | − | 0.828938i | \(-0.688945\pi\) |
0.997552 | + | 0.0699338i | \(0.0222788\pi\) | |||||||
\(240\) | −2.50865 | + | 14.9064i | −0.161933 | + | 0.962204i | ||||
\(241\) | 7.48784 | 0.482334 | 0.241167 | − | 0.970484i | \(-0.422470\pi\) | ||||
0.241167 | + | 0.970484i | \(0.422470\pi\) | |||||||
\(242\) | −28.8714 | − | 50.0067i | −1.85592 | − | 3.21455i | ||||
\(243\) | −3.30355 | − | 15.2344i | −0.211923 | − | 0.977286i | ||||
\(244\) | 21.1589 | + | 36.6483i | 1.35456 | + | 2.34616i | ||||
\(245\) | 6.29947 | − | 10.9110i | 0.402458 | − | 0.697078i | ||||
\(246\) | 4.94352 | − | 29.3744i | 0.315187 | − | 1.87284i | ||||
\(247\) | −1.85945 | − | 2.16874i | −0.118314 | − | 0.137993i | ||||
\(248\) | 7.97713 | − | 13.8168i | 0.506548 | − | 0.877368i | ||||
\(249\) | −8.81328 | − | 7.27880i | −0.558519 | − | 0.461275i | ||||
\(250\) | 14.9652 | − | 25.9205i | 0.946483 | − | 1.63936i | ||||
\(251\) | −15.0975 | + | 26.1496i | −0.952946 | + | 1.65055i | −0.213945 | + | 0.976846i | \(0.568631\pi\) |
−0.739001 | + | 0.673705i | \(0.764702\pi\) | |||||||
\(252\) | 1.50648 | + | 7.82742i | 0.0948991 | + | 0.493081i | ||||
\(253\) | −5.64057 | + | 9.76976i | −0.354620 | + | 0.614219i | ||||
\(254\) | −8.82969 | − | 15.2935i | −0.554024 | − | 0.959597i | ||||
\(255\) | −9.90874 | − | 8.18354i | −0.620510 | − | 0.512473i | ||||
\(256\) | 16.2615 | + | 28.1657i | 1.01634 | + | 1.76036i | ||||
\(257\) | −11.6494 | − | 20.1773i | −0.726667 | − | 1.25862i | −0.958284 | − | 0.285817i | \(-0.907735\pi\) |
0.231617 | − | 0.972807i | \(-0.425598\pi\) | |||||||
\(258\) | 29.4627 | + | 24.3330i | 1.83427 | + | 1.51490i | ||||
\(259\) | −0.724507 | − | 1.25488i | −0.0450187 | − | 0.0779747i | ||||
\(260\) | 2.56779 | − | 4.44754i | 0.159247 | − | 0.275824i | ||||
\(261\) | −14.8230 | + | 12.8374i | −0.917520 | + | 0.794613i | ||||
\(262\) | −8.42394 | + | 14.5907i | −0.520433 | + | 0.901416i | ||||
\(263\) | 7.65298 | − | 13.2553i | 0.471903 | − | 0.817360i | −0.527580 | − | 0.849505i | \(-0.676901\pi\) |
0.999483 | + | 0.0321454i | \(0.0102340\pi\) | |||||||
\(264\) | 40.4281 | + | 33.3892i | 2.48818 | + | 2.05496i | ||||
\(265\) | −12.1641 | + | 21.0689i | −0.747237 | + | 1.29425i | ||||
\(266\) | −6.86705 | + | 1.28630i | −0.421046 | + | 0.0788683i | ||||
\(267\) | 1.39081 | − | 8.26422i | 0.0851164 | − | 0.505762i | ||||
\(268\) | −1.56269 | + | 2.70666i | −0.0954565 | + | 0.165335i | ||||
\(269\) | 2.30201 | + | 3.98719i | 0.140356 | + | 0.243103i | 0.927631 | − | 0.373499i | \(-0.121842\pi\) |
−0.787275 | + | 0.616602i | \(0.788509\pi\) | |||||||
\(270\) | 12.7754 | + | 20.9780i | 0.777488 | + | 1.27668i | ||||
\(271\) | −3.67360 | − | 6.36286i | −0.223155 | − | 0.386517i | 0.732609 | − | 0.680650i | \(-0.238302\pi\) |
−0.955764 | + | 0.294133i | \(0.904969\pi\) | |||||||
\(272\) | 17.6528 | 1.07036 | ||||||||
\(273\) | 0.122344 | − | 0.726965i | 0.00740457 | − | 0.0439979i | ||||
\(274\) | −12.7062 | + | 22.0078i | −0.767610 | + | 1.32954i | ||||
\(275\) | −3.90555 | − | 6.76461i | −0.235513 | − | 0.407921i | ||||
\(276\) | 2.26222 | − | 13.4421i | 0.136170 | − | 0.809121i | ||||
\(277\) | 11.8834 | + | 20.5827i | 0.714006 | + | 1.23669i | 0.963342 | + | 0.268278i | \(0.0864544\pi\) |
−0.249336 | + | 0.968417i | \(0.580212\pi\) | |||||||
\(278\) | 7.07567 | 0.424371 | ||||||||
\(279\) | −1.75246 | − | 9.10552i | −0.104917 | − | 0.545134i | ||||
\(280\) | −3.21005 | − | 5.55997i | −0.191837 | − | 0.332272i | ||||
\(281\) | 12.8409 | 0.766025 | 0.383012 | − | 0.923743i | \(-0.374887\pi\) | ||||
0.383012 | + | 0.923743i | \(0.374887\pi\) | |||||||
\(282\) | −8.19396 | + | 48.6885i | −0.487944 | + | 2.89936i | ||||
\(283\) | 1.50733 | 0.0896015 | 0.0448007 | − | 0.998996i | \(-0.485735\pi\) | ||||
0.0448007 | + | 0.998996i | \(0.485735\pi\) | |||||||
\(284\) | −1.22659 | + | 2.12451i | −0.0727845 | + | 0.126066i | ||||
\(285\) | −12.3871 | + | 7.45952i | −0.733747 | + | 0.441864i | ||||
\(286\) | −4.74325 | − | 8.21554i | −0.280474 | − | 0.485795i | ||||
\(287\) | 2.26260 | + | 3.91894i | 0.133557 | + | 0.231328i | ||||
\(288\) | −2.61625 | − | 0.906263i | −0.154164 | − | 0.0534020i | ||||
\(289\) | 0.996032 | − | 1.72518i | 0.0585901 | − | 0.101481i | ||||
\(290\) | 15.4486 | − | 26.7578i | 0.907173 | − | 1.57127i | ||||
\(291\) | −0.686732 | + | 4.08056i | −0.0402569 | + | 0.239207i | ||||
\(292\) | 7.18208 | − | 12.4397i | 0.420300 | − | 0.727980i | ||||
\(293\) | 12.6882 | − | 21.9765i | 0.741250 | − | 1.28388i | −0.210677 | − | 0.977556i | \(-0.567567\pi\) |
0.951926 | − | 0.306327i | \(-0.0990999\pi\) | |||||||
\(294\) | 21.6823 | + | 17.9072i | 1.26454 | + | 1.04437i | ||||
\(295\) | −27.4542 | −1.59844 | ||||||||
\(296\) | 11.5171 | 0.669419 | ||||||||
\(297\) | 30.4660 | − | 0.713200i | 1.76782 | − | 0.0413841i | ||||
\(298\) | 10.0772 | − | 17.4542i | 0.583756 | − | 1.01109i | ||||
\(299\) | −0.630325 | + | 1.09175i | −0.0364526 | + | 0.0631378i | ||||
\(300\) | 7.27723 | + | 6.01020i | 0.420151 | + | 0.346999i | ||||
\(301\) | −5.80500 | −0.334595 | ||||||||
\(302\) | −50.6371 | −2.91384 | ||||||||
\(303\) | −12.0813 | + | 4.50427i | −0.694051 | + | 0.258764i | ||||
\(304\) | 6.59442 | − | 18.7357i | 0.378216 | − | 1.07457i | ||||
\(305\) | −19.8095 | −1.13429 | ||||||||
\(306\) | 21.6829 | − | 18.7783i | 1.23953 | − | 1.07349i | ||||
\(307\) | 4.18433 | + | 7.24746i | 0.238812 | + | 0.413635i | 0.960374 | − | 0.278716i | \(-0.0899087\pi\) |
−0.721562 | + | 0.692350i | \(0.756575\pi\) | |||||||
\(308\) | −15.5829 | −0.887918 | ||||||||
\(309\) | −0.408018 | + | 2.42444i | −0.0232113 | + | 0.137922i | ||||
\(310\) | 7.30522 | + | 12.6530i | 0.414908 | + | 0.718642i | ||||
\(311\) | 3.63194 | − | 6.29071i | 0.205949 | − | 0.356713i | −0.744486 | − | 0.667638i | \(-0.767305\pi\) |
0.950435 | + | 0.310925i | \(0.100639\pi\) | |||||||
\(312\) | 4.51778 | + | 3.73119i | 0.255769 | + | 0.211237i | ||||
\(313\) | 14.7246 | 0.832283 | 0.416142 | − | 0.909300i | \(-0.363382\pi\) | ||||
0.416142 | + | 0.909300i | \(0.363382\pi\) | |||||||
\(314\) | 1.80252 | − | 3.12205i | 0.101722 | − | 0.176187i | ||||
\(315\) | −3.52582 | − | 1.22134i | −0.198658 | − | 0.0688146i | ||||
\(316\) | −17.4685 | −0.982682 | ||||||||
\(317\) | −16.3354 | −0.917488 | −0.458744 | − | 0.888569i | \(-0.651700\pi\) | ||||
−0.458744 | + | 0.888569i | \(0.651700\pi\) | |||||||
\(318\) | −41.8680 | − | 34.5784i | −2.34784 | − | 1.93906i | ||||
\(319\) | −19.1673 | − | 33.1987i | −1.07316 | − | 1.85877i | ||||
\(320\) | −13.0919 | −0.731858 | ||||||||
\(321\) | 12.2829 | − | 4.57944i | 0.685564 | − | 0.255599i | ||||
\(322\) | 1.54153 | + | 2.67001i | 0.0859062 | + | 0.148794i | ||||
\(323\) | 10.9913 | + | 12.8196i | 0.611575 | + | 0.713299i | ||||
\(324\) | −34.1921 | + | 13.6676i | −1.89956 | + | 0.759310i | ||||
\(325\) | −0.436439 | − | 0.755934i | −0.0242093 | − | 0.0419317i | ||||
\(326\) | −22.4440 | + | 38.8741i | −1.24306 | + | 2.15304i | ||||
\(327\) | 10.1392 | + | 8.37388i | 0.560700 | + | 0.463077i | ||||
\(328\) | −35.9674 | −1.98597 | ||||||||
\(329\) | −3.75030 | − | 6.49571i | −0.206761 | − | 0.358120i | ||||
\(330\) | −44.9917 | + | 16.7743i | −2.47671 | + | 0.923395i | ||||
\(331\) | −13.5395 | − | 23.4510i | −0.744195 | − | 1.28898i | −0.950570 | − | 0.310511i | \(-0.899500\pi\) |
0.206374 | − | 0.978473i | \(-0.433834\pi\) | |||||||
\(332\) | −13.5003 | + | 23.3832i | −0.740926 | + | 1.28332i | ||||
\(333\) | 5.05996 | − | 4.38215i | 0.277284 | − | 0.240140i | ||||
\(334\) | −21.9527 | −1.20120 | ||||||||
\(335\) | −0.731516 | − | 1.26702i | −0.0399670 | − | 0.0692249i | ||||
\(336\) | 4.80259 | − | 1.79056i | 0.262003 | − | 0.0976828i | ||||
\(337\) | 17.3361 | 0.944358 | 0.472179 | − | 0.881503i | \(-0.343468\pi\) | ||||
0.472179 | + | 0.881503i | \(0.343468\pi\) | |||||||
\(338\) | 15.5124 | + | 26.8683i | 0.843766 | + | 1.46144i | ||||
\(339\) | 1.40606 | − | 8.35478i | 0.0763664 | − | 0.453769i | ||||
\(340\) | −15.1784 | + | 26.2897i | −0.823163 | + | 1.42576i | ||||
\(341\) | 18.1274 | 0.981652 | ||||||||
\(342\) | −11.8304 | − | 30.0278i | −0.639713 | − | 1.62372i | ||||
\(343\) | −8.81795 | −0.476125 | ||||||||
\(344\) | 23.0698 | − | 39.9581i | 1.24384 | − | 2.15439i | ||||
\(345\) | 4.91992 | + | 4.06332i | 0.264880 | + | 0.218762i | ||||
\(346\) | −11.8044 | − | 20.4459i | −0.634610 | − | 1.09918i | ||||
\(347\) | 1.51943 | 0.0815675 | 0.0407837 | − | 0.999168i | \(-0.487015\pi\) | ||||
0.0407837 | + | 0.999168i | \(0.487015\pi\) | |||||||
\(348\) | 35.7145 | + | 29.4963i | 1.91450 | + | 1.58117i | ||||
\(349\) | −4.35421 | − | 7.54171i | −0.233075 | − | 0.403699i | 0.725636 | − | 0.688079i | \(-0.241546\pi\) |
−0.958712 | + | 0.284380i | \(0.908212\pi\) | |||||||
\(350\) | −2.13472 | −0.114106 | ||||||||
\(351\) | 3.40453 | − | 0.0796989i | 0.181720 | − | 0.00425401i | ||||
\(352\) | 2.70637 | − | 4.68758i | 0.144250 | − | 0.249849i | ||||
\(353\) | −4.15920 | − | 7.20395i | −0.221372 | − | 0.383428i | 0.733853 | − | 0.679309i | \(-0.237720\pi\) |
−0.955225 | + | 0.295881i | \(0.904387\pi\) | |||||||
\(354\) | 10.1697 | − | 60.4283i | 0.540513 | − | 3.21173i | ||||
\(355\) | −0.574182 | − | 0.994512i | −0.0304744 | − | 0.0527832i | ||||
\(356\) | −19.7960 | −1.04919 | ||||||||
\(357\) | −0.723182 | + | 4.29714i | −0.0382748 | + | 0.227429i | ||||
\(358\) | −0.573036 | + | 0.992527i | −0.0302859 | + | 0.0524567i | ||||
\(359\) | 13.7180 | + | 23.7604i | 0.724011 | + | 1.25402i | 0.959380 | + | 0.282118i | \(0.0910368\pi\) |
−0.235369 | + | 0.971906i | \(0.575630\pi\) | |||||||
\(360\) | 22.4190 | − | 19.4158i | 1.18158 | − | 1.02330i | ||||
\(361\) | 17.7119 | − | 6.87669i | 0.932205 | − | 0.361931i | ||||
\(362\) | 10.6641 | + | 18.4708i | 0.560493 | + | 0.970803i | ||||
\(363\) | −6.72515 | + | 39.9608i | −0.352979 | + | 2.09740i | ||||
\(364\) | −1.74136 | −0.0912723 | ||||||||
\(365\) | 3.36203 | + | 5.82321i | 0.175977 | + | 0.304801i | ||||
\(366\) | 7.33792 | − | 43.6019i | 0.383559 | − | 2.27911i | ||||
\(367\) | 23.3930 | 1.22111 | 0.610553 | − | 0.791976i | \(-0.290947\pi\) | ||||
0.610553 | + | 0.791976i | \(0.290947\pi\) | |||||||
\(368\) | −8.76505 | −0.456910 | ||||||||
\(369\) | −15.8020 | + | 13.6852i | −0.822620 | + | 0.712426i | ||||
\(370\) | −5.27352 | + | 9.13400i | −0.274157 | + | 0.474854i | ||||
\(371\) | 8.24920 | 0.428277 | ||||||||
\(372\) | −20.5235 | + | 7.65180i | −1.06409 | + | 0.396727i | ||||
\(373\) | 1.89269 | − | 3.27823i | 0.0979996 | − | 0.169740i | −0.812857 | − | 0.582463i | \(-0.802089\pi\) |
0.910857 | + | 0.412723i | \(0.135422\pi\) | |||||||
\(374\) | 28.0377 | + | 48.5627i | 1.44979 | + | 2.51112i | ||||
\(375\) | −19.6812 | + | 7.33778i | −1.01633 | + | 0.378921i | ||||
\(376\) | 59.6166 | 3.07449 | ||||||||
\(377\) | −2.14191 | − | 3.70990i | −0.110314 | − | 0.191070i | ||||
\(378\) | 3.99428 | − | 7.30813i | 0.205444 | − | 0.375889i | ||||
\(379\) | −5.16755 | −0.265439 | −0.132720 | − | 0.991154i | \(-0.542371\pi\) | ||||
−0.132720 | + | 0.991154i | \(0.542371\pi\) | |||||||
\(380\) | 22.2323 | + | 25.9303i | 1.14049 | + | 1.33019i | ||||
\(381\) | −2.05674 | + | 12.2212i | −0.105370 | + | 0.626109i | ||||
\(382\) | −54.7973 | −2.80367 | ||||||||
\(383\) | −9.00109 | −0.459934 | −0.229967 | − | 0.973198i | \(-0.573862\pi\) | ||||
−0.229967 | + | 0.973198i | \(0.573862\pi\) | |||||||
\(384\) | 5.38013 | − | 31.9687i | 0.274554 | − | 1.63140i | ||||
\(385\) | 3.64728 | − | 6.31728i | 0.185883 | − | 0.321958i | ||||
\(386\) | 5.82602 | − | 10.0910i | 0.296537 | − | 0.513616i | ||||
\(387\) | −5.06811 | − | 26.3331i | −0.257626 | − | 1.33859i | ||||
\(388\) | 9.77452 | 0.496226 | ||||||||
\(389\) | 20.7642 | 1.05279 | 0.526393 | − | 0.850241i | \(-0.323544\pi\) | ||||
0.526393 | + | 0.850241i | \(0.323544\pi\) | |||||||
\(390\) | −5.02775 | + | 1.87450i | −0.254590 | + | 0.0949191i | ||||
\(391\) | 3.72590 | − | 6.45344i | 0.188427 | − | 0.326365i | ||||
\(392\) | 16.9776 | − | 29.4060i | 0.857498 | − | 1.48523i | ||||
\(393\) | 11.0786 | − | 4.13045i | 0.558842 | − | 0.208354i | ||||
\(394\) | −10.1611 | + | 17.5996i | −0.511909 | + | 0.886653i | ||||
\(395\) | 4.08863 | − | 7.08171i | 0.205721 | − | 0.356320i | ||||
\(396\) | −13.6048 | − | 70.6884i | −0.683666 | − | 3.55222i | ||||
\(397\) | −2.69831 | − | 4.67361i | −0.135424 | − | 0.234562i | 0.790335 | − | 0.612675i | \(-0.209906\pi\) |
−0.925759 | + | 0.378113i | \(0.876573\pi\) | |||||||
\(398\) | −3.26366 | − | 5.65283i | −0.163593 | − | 0.283351i | ||||
\(399\) | 4.29059 | + | 2.37279i | 0.214798 | + | 0.118788i | ||||
\(400\) | 3.03447 | − | 5.25586i | 0.151724 | − | 0.262793i | ||||
\(401\) | 18.9266 | 0.945152 | 0.472576 | − | 0.881290i | \(-0.343324\pi\) | ||||
0.472576 | + | 0.881290i | \(0.343324\pi\) | |||||||
\(402\) | 3.05976 | − | 1.14077i | 0.152607 | − | 0.0568966i | ||||
\(403\) | 2.02570 | 0.100908 | ||||||||
\(404\) | 15.2285 | + | 26.3765i | 0.757645 | + | 1.31228i | ||||
\(405\) | 2.46208 | − | 17.0604i | 0.122342 | − | 0.847738i | ||||
\(406\) | −10.4766 | −0.519944 | ||||||||
\(407\) | 6.54293 | + | 11.3327i | 0.324321 | + | 0.561740i | ||||
\(408\) | −26.7049 | − | 22.0553i | −1.32209 | − | 1.09190i | ||||
\(409\) | −14.3032 | − | 24.7740i | −0.707250 | − | 1.22499i | −0.965873 | − | 0.259015i | \(-0.916602\pi\) |
0.258623 | − | 0.965978i | \(-0.416731\pi\) | |||||||
\(410\) | 16.4689 | − | 28.5250i | 0.813343 | − | 1.40875i | ||||
\(411\) | 16.7103 | − | 6.23013i | 0.824260 | − | 0.307310i | ||||
\(412\) | 5.80748 | 0.286114 | ||||||||
\(413\) | 4.65457 | + | 8.06195i | 0.229036 | + | 0.396702i | ||||
\(414\) | −10.7661 | + | 9.32389i | −0.529123 | + | 0.458244i | ||||
\(415\) | −6.31968 | − | 10.9460i | −0.310221 | − | 0.537318i | ||||
\(416\) | 0.302433 | − | 0.523829i | 0.0148280 | − | 0.0256828i | ||||
\(417\) | −3.82864 | − | 3.16204i | −0.187489 | − | 0.154846i | ||||
\(418\) | 62.0154 | − | 11.6164i | 3.03327 | − | 0.568178i | ||||
\(419\) | −14.8913 | + | 25.7926i | −0.727490 | + | 1.26005i | 0.230451 | + | 0.973084i | \(0.425980\pi\) |
−0.957941 | + | 0.286965i | \(0.907354\pi\) | |||||||
\(420\) | −1.46279 | + | 8.69189i | −0.0713767 | + | 0.424121i | ||||
\(421\) | 0.316310 | − | 0.547865i | 0.0154160 | − | 0.0267013i | −0.858214 | − | 0.513291i | \(-0.828426\pi\) |
0.873630 | + | 0.486590i | \(0.161759\pi\) | |||||||
\(422\) | −20.4208 | + | 35.3699i | −0.994071 | + | 1.72178i | ||||
\(423\) | 26.1921 | − | 22.6835i | 1.27350 | − | 1.10291i | ||||
\(424\) | −32.7834 | + | 56.7824i | −1.59210 | + | 2.75760i | ||||
\(425\) | 2.57982 | + | 4.46838i | 0.125140 | + | 0.216748i | ||||
\(426\) | 2.40167 | − | 0.895417i | 0.116361 | − | 0.0433831i | ||||
\(427\) | 3.35849 | + | 5.81708i | 0.162529 | + | 0.281508i | ||||
\(428\) | −15.4826 | − | 26.8167i | −0.748380 | − | 1.29623i | ||||
\(429\) | −1.10487 | + | 6.56513i | −0.0533435 | + | 0.316967i | ||||
\(430\) | 21.1266 | + | 36.5924i | 1.01882 | + | 1.76464i | ||||
\(431\) | 11.9641 | − | 20.7224i | 0.576289 | − | 0.998162i | −0.419611 | − | 0.907704i | \(-0.637834\pi\) |
0.995900 | − | 0.0904579i | \(-0.0288331\pi\) | |||||||
\(432\) | 12.3154 | + | 20.2226i | 0.592525 | + | 0.972962i | ||||
\(433\) | −2.23079 | + | 3.86384i | −0.107205 | + | 0.185684i | −0.914637 | − | 0.404276i | \(-0.867523\pi\) |
0.807432 | + | 0.589961i | \(0.200857\pi\) | |||||||
\(434\) | 2.47704 | − | 4.29037i | 0.118902 | − | 0.205944i | ||||
\(435\) | −20.3170 | + | 7.57479i | −0.974124 | + | 0.363184i | ||||
\(436\) | 15.5314 | − | 26.9012i | 0.743819 | − | 1.28833i | ||||
\(437\) | −5.45746 | − | 6.36521i | −0.261066 | − | 0.304489i | ||||
\(438\) | −14.0626 | + | 5.24297i | −0.671937 | + | 0.250519i | ||||
\(439\) | −8.09331 | + | 14.0180i | −0.386273 | + | 0.669044i | −0.991945 | − | 0.126670i | \(-0.959571\pi\) |
0.605672 | + | 0.795714i | \(0.292904\pi\) | |||||||
\(440\) | 28.9895 | + | 50.2113i | 1.38202 | + | 2.39373i | ||||
\(441\) | −3.72973 | − | 19.3791i | −0.177606 | − | 0.922815i | ||||
\(442\) | 3.13316 | + | 5.42680i | 0.149029 | + | 0.258127i | ||||
\(443\) | −17.6492 | −0.838540 | −0.419270 | − | 0.907862i | \(-0.637714\pi\) | ||||
−0.419270 | + | 0.907862i | \(0.637714\pi\) | |||||||
\(444\) | −12.1915 | − | 10.0688i | −0.578582 | − | 0.477845i | ||||
\(445\) | 4.63339 | − | 8.02526i | 0.219644 | − | 0.380434i | ||||
\(446\) | −11.4071 | − | 19.7577i | −0.540141 | − | 0.935552i | ||||
\(447\) | −13.2528 | + | 4.94107i | −0.626838 | + | 0.233705i | ||||
\(448\) | 2.21959 | + | 3.84444i | 0.104866 | + | 0.181633i | ||||
\(449\) | −41.2241 | −1.94548 | −0.972742 | − | 0.231890i | \(-0.925509\pi\) | ||||
−0.972742 | + | 0.231890i | \(0.925509\pi\) | |||||||
\(450\) | −1.86374 | − | 9.68369i | −0.0878574 | − | 0.456493i | ||||
\(451\) | −20.4332 | − | 35.3914i | −0.962164 | − | 1.66652i | ||||
\(452\) | −20.0129 | −0.941329 | ||||||||
\(453\) | 27.3997 | + | 22.6291i | 1.28735 | + | 1.06321i | ||||
\(454\) | −25.8720 | −1.21423 | ||||||||
\(455\) | 0.407578 | − | 0.705946i | 0.0191076 | − | 0.0330952i | ||||
\(456\) | −33.3842 | + | 20.1040i | −1.56336 | + | 0.941457i | ||||
\(457\) | −2.05989 | − | 3.56784i | −0.0963576 | − | 0.166896i | 0.813817 | − | 0.581122i | \(-0.197386\pi\) |
−0.910174 | + | 0.414225i | \(0.864053\pi\) | |||||||
\(458\) | −21.7451 | − | 37.6637i | −1.01608 | − | 1.75991i | ||||
\(459\) | −20.1244 | + | 0.471106i | −0.939328 | + | 0.0219893i | ||||
\(460\) | 7.53641 | − | 13.0535i | 0.351387 | − | 0.608620i | ||||
\(461\) | 7.01095 | − | 12.1433i | 0.326533 | − | 0.565571i | −0.655289 | − | 0.755378i | \(-0.727453\pi\) |
0.981821 | + | 0.189807i | \(0.0607864\pi\) | |||||||
\(462\) | 12.5537 | + | 10.3680i | 0.584049 | + | 0.482361i | ||||
\(463\) | 12.4782 | − | 21.6129i | 0.579912 | − | 1.00444i | −0.415576 | − | 0.909558i | \(-0.636420\pi\) |
0.995489 | − | 0.0948795i | \(-0.0302466\pi\) | |||||||
\(464\) | 14.8923 | − | 25.7942i | 0.691358 | − | 1.19747i | ||||
\(465\) | 1.70164 | − | 10.1111i | 0.0789117 | − | 0.468893i | ||||
\(466\) | 16.8253 | 0.779418 | ||||||||
\(467\) | −23.0107 | −1.06481 | −0.532405 | − | 0.846490i | \(-0.678712\pi\) | ||||
−0.532405 | + | 0.846490i | \(0.678712\pi\) | |||||||
\(468\) | −1.52031 | − | 7.89931i | −0.0702765 | − | 0.365146i | ||||
\(469\) | −0.248042 | + | 0.429621i | −0.0114535 | + | 0.0198380i | ||||
\(470\) | −27.2976 | + | 47.2807i | −1.25914 | + | 2.18090i | ||||
\(471\) | −2.37055 | + | 0.883814i | −0.109229 | + | 0.0407240i | ||||
\(472\) | −73.9913 | −3.40573 | ||||||||
\(473\) | 52.4242 | 2.41047 | ||||||||
\(474\) | 14.0727 | + | 11.6225i | 0.646382 | + | 0.533841i | ||||
\(475\) | 5.70621 | − | 1.06886i | 0.261819 | − | 0.0490426i | ||||
\(476\) | 10.2933 | 0.471794 | ||||||||
\(477\) | 7.20203 | + | 37.4207i | 0.329758 | + | 1.71337i | ||||
\(478\) | 16.7202 | + | 28.9602i | 0.764763 | + | 1.32461i | ||||
\(479\) | 3.83688 | 0.175311 | 0.0876557 | − | 0.996151i | \(-0.472062\pi\) | ||||
0.0876557 | + | 0.996151i | \(0.472062\pi\) | |||||||
\(480\) | −2.36060 | − | 1.94960i | −0.107746 | − | 0.0889867i | ||||
\(481\) | 0.731162 | + | 1.26641i | 0.0333381 | + | 0.0577433i | ||||
\(482\) | −9.24028 | + | 16.0046i | −0.420883 | + | 0.728991i | ||||
\(483\) | 0.359077 | − | 2.13363i | 0.0163385 | − | 0.0970837i | ||||
\(484\) | 95.7217 | 4.35099 | ||||||||
\(485\) | −2.28779 | + | 3.96257i | −0.103883 | + | 0.179931i | ||||
\(486\) | 36.6389 | + | 11.7388i | 1.66198 | + | 0.532481i | ||||
\(487\) | −30.9854 | −1.40408 | −0.702041 | − | 0.712136i | \(-0.747728\pi\) | ||||
−0.702041 | + | 0.712136i | \(0.747728\pi\) | |||||||
\(488\) | −53.3883 | −2.41677 | ||||||||
\(489\) | 29.5168 | − | 11.0048i | 1.33480 | − | 0.497653i | ||||
\(490\) | 15.5476 | + | 26.9292i | 0.702367 | + | 1.21654i | ||||
\(491\) | −27.8047 | −1.25481 | −0.627405 | − | 0.778693i | \(-0.715883\pi\) | ||||
−0.627405 | + | 0.778693i | \(0.715883\pi\) | |||||||
\(492\) | 38.0734 | + | 31.4444i | 1.71648 | + | 1.41763i | ||||
\(493\) | 12.6610 | + | 21.9295i | 0.570223 | + | 0.987655i | ||||
\(494\) | 6.93013 | − | 1.29812i | 0.311801 | − | 0.0584051i | ||||
\(495\) | 31.8412 | + | 11.0297i | 1.43116 | + | 0.495750i | ||||
\(496\) | 7.04216 | + | 12.1974i | 0.316202 | + | 0.547679i | ||||
\(497\) | −0.194693 | + | 0.337218i | −0.00873317 | + | 0.0151263i | ||||
\(498\) | 26.4338 | − | 9.85532i | 1.18452 | − | 0.441627i | ||||
\(499\) | −21.6588 | −0.969583 | −0.484791 | − | 0.874630i | \(-0.661104\pi\) | ||||
−0.484791 | + | 0.874630i | \(0.661104\pi\) | |||||||
\(500\) | 24.8082 | + | 42.9691i | 1.10946 | + | 1.92164i | ||||
\(501\) | 11.8786 | + | 9.81042i | 0.530696 | + | 0.438297i | ||||
\(502\) | −37.2618 | − | 64.5393i | −1.66307 | − | 2.88053i | ||||
\(503\) | −15.3608 | + | 26.6057i | −0.684903 | + | 1.18629i | 0.288564 | + | 0.957461i | \(0.406822\pi\) |
−0.973467 | + | 0.228827i | \(0.926511\pi\) | |||||||
\(504\) | −9.50238 | − | 3.29161i | −0.423270 | − | 0.146620i | ||||
\(505\) | −14.2573 | −0.634442 | ||||||||
\(506\) | −13.9214 | − | 24.1125i | −0.618880 | − | 1.07193i | ||||
\(507\) | 3.61339 | − | 21.4708i | 0.160476 | − | 0.953550i | ||||
\(508\) | 29.2744 | 1.29884 | ||||||||
\(509\) | 14.0153 | + | 24.2753i | 0.621218 | + | 1.07598i | 0.989259 | + | 0.146172i | \(0.0466953\pi\) |
−0.368041 | + | 0.929810i | \(0.619971\pi\) | |||||||
\(510\) | 29.7194 | − | 11.0803i | 1.31600 | − | 0.490644i | ||||
\(511\) | 1.13999 | − | 1.97453i | 0.0504303 | − | 0.0873479i | ||||
\(512\) | −42.8358 | −1.89309 | ||||||||
\(513\) | −7.01771 | + | 21.5349i | −0.309839 | + | 0.950789i | ||||
\(514\) | 57.5030 | 2.53635 | ||||||||
\(515\) | −1.35928 | + | 2.35434i | −0.0598970 | + | 0.103745i | ||||
\(516\) | −59.3538 | + | 22.1289i | −2.61291 | + | 0.974172i | ||||
\(517\) | 33.8685 | + | 58.6619i | 1.48953 | + | 2.57995i | ||||
\(518\) | 3.57628 | 0.157133 | ||||||||
\(519\) | −2.74966 | + | 16.3385i | −0.120697 | + | 0.717181i | ||||
\(520\) | 3.23953 | + | 5.61103i | 0.142063 | + | 0.246060i | ||||
\(521\) | −11.7617 | −0.515287 | −0.257644 | − | 0.966240i | \(-0.582946\pi\) | ||||
−0.257644 | + | 0.966240i | \(0.582946\pi\) | |||||||
\(522\) | −9.14667 | − | 47.5247i | −0.400339 | − | 2.08010i | ||||
\(523\) | 12.3785 | − | 21.4402i | 0.541275 | − | 0.937516i | −0.457556 | − | 0.889181i | \(-0.651275\pi\) |
0.998831 | − | 0.0483349i | \(-0.0153915\pi\) | |||||||
\(524\) | −13.9646 | − | 24.1874i | −0.610047 | − | 1.05663i | ||||
\(525\) | 1.15510 | + | 0.953983i | 0.0504125 | + | 0.0416352i | ||||
\(526\) | 18.8881 | + | 32.7152i | 0.823562 | + | 1.42645i | ||||
\(527\) | −11.9741 | −0.521599 | ||||||||
\(528\) | −43.3716 | + | 16.1703i | −1.88751 | + | 0.703721i | ||||
\(529\) | 9.65001 | − | 16.7143i | 0.419565 | − | 0.726709i | ||||
\(530\) | −30.0220 | − | 51.9996i | −1.30407 | − | 2.25872i | ||||
\(531\) | −32.5075 | + | 28.1530i | −1.41071 | + | 1.22173i | ||||
\(532\) | 3.84519 | − | 10.9247i | 0.166710 | − | 0.473648i | ||||
\(533\) | −2.28338 | − | 3.95493i | −0.0989043 | − | 0.171307i | ||||
\(534\) | 15.9478 | + | 13.1711i | 0.690127 | + | 0.569969i | ||||
\(535\) | 14.4952 | 0.626684 | ||||||||
\(536\) | −1.97150 | − | 3.41473i | −0.0851557 | − | 0.147494i | ||||
\(537\) | 0.753618 | − | 0.280972i | 0.0325210 | − | 0.0121248i | ||||
\(538\) | −11.3630 | −0.489896 | ||||||||
\(539\) | 38.5801 | 1.66176 | ||||||||
\(540\) | −40.7059 | + | 0.952912i | −1.75170 | + | 0.0410068i | ||||
\(541\) | −18.6115 | + | 32.2361i | −0.800171 | + | 1.38594i | 0.119332 | + | 0.992854i | \(0.461925\pi\) |
−0.919503 | + | 0.393083i | \(0.871409\pi\) | |||||||
\(542\) | 18.1335 | 0.778899 | ||||||||
\(543\) | 2.48405 | − | 14.7602i | 0.106601 | − | 0.633421i | ||||
\(544\) | −1.78770 | + | 3.09639i | −0.0766471 | + | 0.132757i | ||||
\(545\) | 7.27046 | + | 12.5928i | 0.311432 | + | 0.539417i | ||||
\(546\) | 1.40285 | + | 1.15860i | 0.0600365 | + | 0.0495836i | ||||
\(547\) | −3.93869 | −0.168406 | −0.0842030 | − | 0.996449i | \(-0.526834\pi\) | ||||
−0.0842030 | + | 0.996449i | \(0.526834\pi\) | |||||||
\(548\) | −21.0634 | − | 36.4829i | −0.899785 | − | 1.55847i | ||||
\(549\) | −23.4557 | + | 20.3137i | −1.00107 | + | 0.866968i | ||||
\(550\) | 19.2784 | 0.822033 | ||||||||
\(551\) | 28.0044 | − | 5.24565i | 1.19303 | − | 0.223472i | ||||
\(552\) | 13.2596 | + | 10.9510i | 0.564366 | + | 0.466105i | ||||
\(553\) | −2.77274 | −0.117909 | ||||||||
\(554\) | −58.6584 | −2.49216 | ||||||||
\(555\) | 6.93538 | − | 2.58572i | 0.294390 | − | 0.109758i | ||||
\(556\) | −5.86477 | + | 10.1581i | −0.248722 | + | 0.430798i | ||||
\(557\) | 10.2612 | − | 17.7730i | 0.434783 | − | 0.753066i | −0.562495 | − | 0.826801i | \(-0.690158\pi\) |
0.997278 | + | 0.0737345i | \(0.0234917\pi\) | |||||||
\(558\) | 21.6249 | + | 7.49082i | 0.915455 | + | 0.317112i | ||||
\(559\) | 5.85832 | 0.247780 | ||||||||
\(560\) | 5.66762 | 0.239501 | ||||||||
\(561\) | 6.53096 | − | 38.8069i | 0.275737 | − | 1.63843i | ||||
\(562\) | −15.8462 | + | 27.4464i | −0.668431 | + | 1.15776i | ||||
\(563\) | −6.27581 | + | 10.8700i | −0.264494 | + | 0.458117i | −0.967431 | − | 0.253135i | \(-0.918538\pi\) |
0.702937 | + | 0.711252i | \(0.251872\pi\) | |||||||
\(564\) | −63.1073 | − | 52.1197i | −2.65729 | − | 2.19464i | ||||
\(565\) | 4.68416 | − | 8.11321i | 0.197064 | − | 0.341325i | ||||
\(566\) | −1.86010 | + | 3.22179i | −0.0781860 | + | 0.135422i | ||||
\(567\) | −5.42722 | + | 2.16942i | −0.227922 | + | 0.0911071i | ||||
\(568\) | −1.54747 | − | 2.68029i | −0.0649303 | − | 0.112463i | ||||
\(569\) | 3.79925 | + | 6.58050i | 0.159273 | + | 0.275869i | 0.934607 | − | 0.355683i | \(-0.115752\pi\) |
−0.775334 | + | 0.631552i | \(0.782418\pi\) | |||||||
\(570\) | −0.657981 | − | 35.6816i | −0.0275598 | − | 1.49454i | ||||
\(571\) | −0.502011 | + | 0.869508i | −0.0210085 | + | 0.0363878i | −0.876339 | − | 0.481696i | \(-0.840021\pi\) |
0.855330 | + | 0.518084i | \(0.173354\pi\) | |||||||
\(572\) | 15.7260 | 0.657538 | ||||||||
\(573\) | 29.6508 | + | 24.4883i | 1.23868 | + | 1.02301i | ||||
\(574\) | −11.1685 | −0.466166 | ||||||||
\(575\) | −1.28094 | − | 2.21866i | −0.0534190 | − | 0.0925243i | ||||
\(576\) | −15.5016 | + | 13.4251i | −0.645901 | + | 0.559379i | ||||
\(577\) | −6.38475 | −0.265801 | −0.132900 | − | 0.991129i | \(-0.542429\pi\) | ||||
−0.132900 | + | 0.991129i | \(0.542429\pi\) | |||||||
\(578\) | 2.45828 | + | 4.25787i | 0.102251 | + | 0.177104i | ||||
\(579\) | −7.66199 | + | 2.85663i | −0.318421 | + | 0.118717i | ||||
\(580\) | 25.6096 | + | 44.3571i | 1.06338 | + | 1.84183i | ||||
\(581\) | −2.14287 | + | 3.71156i | −0.0889012 | + | 0.153981i | ||||
\(582\) | −7.87440 | − | 6.50340i | −0.326404 | − | 0.269574i | ||||
\(583\) | −74.4974 | −3.08537 | ||||||||
\(584\) | 9.06095 | + | 15.6940i | 0.374945 | + | 0.649424i | ||||
\(585\) | 3.55821 | + | 1.23255i | 0.147114 | + | 0.0509599i | ||||
\(586\) | 31.3153 | + | 54.2397i | 1.29362 | + | 2.24062i | ||||
\(587\) | 11.8750 | − | 20.5681i | 0.490133 | − | 0.848935i | −0.509802 | − | 0.860292i | \(-0.670281\pi\) |
0.999936 | + | 0.0113561i | \(0.00361482\pi\) | |||||||
\(588\) | −43.6798 | + | 16.2852i | −1.80133 | + | 0.671590i | ||||
\(589\) | −4.47306 | + | 12.7086i | −0.184309 | + | 0.523649i | ||||
\(590\) | 33.8795 | − | 58.6810i | 1.39480 | − | 2.41586i | ||||
\(591\) | 13.3632 | − | 4.98222i | 0.549689 | − | 0.204941i | ||||
\(592\) | −5.08362 | + | 8.80509i | −0.208936 | + | 0.361887i | ||||
\(593\) | 4.39025 | − | 7.60414i | 0.180286 | − | 0.312264i | −0.761692 | − | 0.647939i | \(-0.775631\pi\) |
0.941978 | + | 0.335675i | \(0.108964\pi\) | |||||||
\(594\) | −36.0718 | + | 65.9987i | −1.48005 | + | 2.70796i | ||||
\(595\) | −2.40922 | + | 4.17290i | −0.0987685 | + | 0.171072i | ||||
\(596\) | 16.7052 | + | 28.9343i | 0.684273 | + | 1.18520i | ||||
\(597\) | −0.760221 | + | 4.51723i | −0.0311138 | + | 0.184878i | ||||
\(598\) | −1.55569 | − | 2.69453i | −0.0636169 | − | 0.110188i | ||||
\(599\) | 8.44874 | + | 14.6336i | 0.345206 | + | 0.597915i | 0.985391 | − | 0.170306i | \(-0.0544757\pi\) |
−0.640185 | + | 0.768221i | \(0.721142\pi\) | |||||||
\(600\) | −11.1571 | + | 4.15972i | −0.455488 | + | 0.169820i | ||||
\(601\) | −15.1537 | − | 26.2469i | −0.618131 | − | 1.07063i | −0.989827 | − | 0.142279i | \(-0.954557\pi\) |
0.371696 | − | 0.928355i | \(-0.378776\pi\) | |||||||
\(602\) | 7.16359 | − | 12.4077i | 0.291966 | − | 0.505700i | ||||
\(603\) | −2.16543 | − | 0.750102i | −0.0881833 | − | 0.0305465i | ||||
\(604\) | 41.9713 | − | 72.6963i | 1.70779 | − | 2.95797i | ||||
\(605\) | −22.4043 | + | 38.8054i | −0.910865 | + | 1.57766i | ||||
\(606\) | 5.28124 | − | 31.3812i | 0.214536 | − | 1.27477i | ||||
\(607\) | 23.8244 | − | 41.2651i | 0.967003 | − | 1.67490i | 0.262870 | − | 0.964831i | \(-0.415331\pi\) |
0.704133 | − | 0.710068i | \(-0.251336\pi\) | |||||||
\(608\) | 2.61852 | + | 3.05406i | 0.106195 | + | 0.123858i | ||||
\(609\) | 5.66887 | + | 4.68187i | 0.229714 | + | 0.189719i | ||||
\(610\) | 24.4457 | − | 42.3412i | 0.989777 | − | 1.71434i | ||||
\(611\) | 3.78474 | + | 6.55537i | 0.153114 | + | 0.265202i | ||||
\(612\) | 8.98668 | + | 46.6934i | 0.363265 | + | 1.88747i | ||||
\(613\) | 10.7830 | + | 18.6767i | 0.435521 | + | 0.754345i | 0.997338 | − | 0.0729168i | \(-0.0232308\pi\) |
−0.561817 | + | 0.827262i | \(0.689897\pi\) | |||||||
\(614\) | −20.6545 | −0.833546 | ||||||||
\(615\) | −21.6589 | + | 8.07509i | −0.873369 | + | 0.325619i | ||||
\(616\) | 9.82973 | − | 17.0256i | 0.396051 | − | 0.685981i | ||||
\(617\) | −1.42352 | − | 2.46561i | −0.0573088 | − | 0.0992618i | 0.835948 | − | 0.548809i | \(-0.184919\pi\) |
−0.893257 | + | 0.449547i | \(0.851585\pi\) | |||||||
\(618\) | −4.67853 | − | 3.86396i | −0.188198 | − | 0.155431i | ||||
\(619\) | −6.25245 | − | 10.8296i | −0.251307 | − | 0.435277i | 0.712579 | − | 0.701592i | \(-0.247527\pi\) |
−0.963886 | + | 0.266315i | \(0.914194\pi\) | |||||||
\(620\) | −24.2201 | −0.972703 | ||||||||
\(621\) | 9.99225 | − | 0.233915i | 0.400975 | − | 0.00938669i | ||||
\(622\) | 8.96391 | + | 15.5259i | 0.359420 | + | 0.622534i | ||||
\(623\) | −3.14217 | −0.125888 | ||||||||
\(624\) | −4.84671 | + | 1.80700i | −0.194023 | + | 0.0723380i | ||||
\(625\) | −16.5668 | −0.662673 | ||||||||
\(626\) | −18.1707 | + | 31.4726i | −0.726247 | + | 1.25790i | ||||
\(627\) | −38.7478 | − | 21.4284i | −1.54744 | − | 0.855767i | ||||
\(628\) | 2.98808 | + | 5.17551i | 0.119237 | + | 0.206525i | ||||
\(629\) | −4.32195 | − | 7.48583i | −0.172327 | − | 0.298480i | ||||
\(630\) | 6.96150 | − | 6.02897i | 0.277353 | − | 0.240200i | ||||
\(631\) | 0.917741 | − | 1.58957i | 0.0365347 | − | 0.0632799i | −0.847180 | − | 0.531306i | \(-0.821701\pi\) |
0.883715 | + | 0.468026i | \(0.155035\pi\) | |||||||
\(632\) | 11.0192 | − | 19.0858i | 0.438320 | − | 0.759193i | ||||
\(633\) | 26.8561 | − | 10.0128i | 1.06744 | − | 0.397973i | ||||
\(634\) | 20.1585 | − | 34.9156i | 0.800597 | − | 1.38667i | ||||
\(635\) | −6.85188 | + | 11.8678i | −0.271909 | + | 0.470959i | ||||
\(636\) | 84.3448 | − | 31.4463i | 3.34449 | − | 1.24693i | ||||
\(637\) | 4.31127 | 0.170819 | ||||||||
\(638\) | 94.6127 | 3.74575 | ||||||||
\(639\) | −1.69969 | − | 0.588770i | −0.0672388 | − | 0.0232914i | ||||
\(640\) | 17.9235 | − | 31.0444i | 0.708488 | − | 1.22714i | ||||
\(641\) | −1.91192 | + | 3.31154i | −0.0755163 | + | 0.130798i | −0.901311 | − | 0.433173i | \(-0.857394\pi\) |
0.825794 | + | 0.563971i | \(0.190727\pi\) | |||||||
\(642\) | −5.36938 | + | 31.9049i | −0.211913 | + | 1.25918i | ||||
\(643\) | 40.1005 | 1.58141 | 0.790705 | − | 0.612198i | \(-0.209714\pi\) | ||||
0.790705 | + | 0.612198i | \(0.209714\pi\) | |||||||
\(644\) | −5.11088 | −0.201397 | ||||||||
\(645\) | 4.92113 | − | 29.2414i | 0.193769 | − | 1.15138i | ||||
\(646\) | −40.9645 | + | 7.67326i | −1.61173 | + | 0.301901i | ||||
\(647\) | 5.93898 | 0.233486 | 0.116743 | − | 0.993162i | \(-0.462755\pi\) | ||||
0.116743 | + | 0.993162i | \(0.462755\pi\) | |||||||
\(648\) | 6.63550 | − | 45.9792i | 0.260667 | − | 1.80623i | ||||
\(649\) | −42.0348 | − | 72.8064i | −1.65001 | − | 2.85790i | ||||
\(650\) | 2.15433 | 0.0844997 | ||||||||
\(651\) | −3.25764 | + | 1.21455i | −0.127677 | + | 0.0476020i | ||||
\(652\) | −37.2060 | − | 64.4427i | −1.45710 | − | 2.52377i | ||||
\(653\) | −20.0130 | + | 34.6636i | −0.783170 | + | 1.35649i | 0.146916 | + | 0.989149i | \(0.453065\pi\) |
−0.930086 | + | 0.367342i | \(0.880268\pi\) | |||||||
\(654\) | −30.4107 | + | 11.3380i | −1.18915 | + | 0.443352i | ||||
\(655\) | 13.0740 | 0.510845 | ||||||||
\(656\) | 15.8759 | − | 27.4979i | 0.619850 | − | 1.07361i | ||||
\(657\) | 9.95228 | + | 3.44745i | 0.388276 | + | 0.134498i | ||||
\(658\) | 18.5120 | 0.721675 | ||||||||
\(659\) | 11.5467 | 0.449794 | 0.224897 | − | 0.974383i | \(-0.427795\pi\) | ||||
0.224897 | + | 0.974383i | \(0.427795\pi\) | |||||||
\(660\) | 13.2102 | − | 78.4953i | 0.514208 | − | 3.05542i | ||||
\(661\) | −10.4830 | − | 18.1571i | −0.407741 | − | 0.706228i | 0.586895 | − | 0.809663i | \(-0.300350\pi\) |
−0.994636 | + | 0.103435i | \(0.967017\pi\) | |||||||
\(662\) | 66.8328 | 2.59753 | ||||||||
\(663\) | 0.729824 | − | 4.33661i | 0.0283440 | − | 0.168420i | ||||
\(664\) | −17.0321 | − | 29.5004i | −0.660972 | − | 1.14484i | ||||
\(665\) | 3.52888 | + | 4.11585i | 0.136844 | + | 0.159606i | ||||
\(666\) | 3.12230 | + | 16.2230i | 0.120987 | + | 0.628628i | ||||
\(667\) | −6.28649 | − | 10.8885i | −0.243414 | − | 0.421605i | ||||
\(668\) | 18.1958 | − | 31.5161i | 0.704017 | − | 1.21939i | ||||
\(669\) | −2.65711 | + | 15.7885i | −0.102730 | + | 0.610420i | ||||
\(670\) | 3.61087 | 0.139500 | ||||||||
\(671\) | −30.3301 | − | 52.5333i | −1.17088 | − | 2.02803i | ||||
\(672\) | −0.172287 | + | 1.02373i | −0.00664610 | + | 0.0394911i | ||||
\(673\) | 16.9832 | + | 29.4157i | 0.654654 | + | 1.13389i | 0.981981 | + | 0.188982i | \(0.0605188\pi\) |
−0.327327 | + | 0.944911i | \(0.606148\pi\) | |||||||
\(674\) | −21.3934 | + | 37.0545i | −0.824044 | + | 1.42729i | ||||
\(675\) | −3.31907 | + | 6.07272i | −0.127751 | + | 0.233739i | ||||
\(676\) | −51.4308 | −1.97811 | ||||||||
\(677\) | 1.77679 | + | 3.07750i | 0.0682878 | + | 0.118278i | 0.898148 | − | 0.439694i | \(-0.144913\pi\) |
−0.829860 | + | 0.557972i | \(0.811580\pi\) | |||||||
\(678\) | 16.1225 | + | 13.3154i | 0.619181 | + | 0.511376i | ||||
\(679\) | 1.55148 | 0.0595405 | ||||||||
\(680\) | −19.1491 | − | 33.1672i | −0.734335 | − | 1.27190i | ||||
\(681\) | 13.9993 | + | 11.5619i | 0.536454 | + | 0.443052i | ||||
\(682\) | −22.3699 | + | 38.7457i | −0.856586 | + | 1.48365i | ||||
\(683\) | −27.1146 | −1.03751 | −0.518757 | − | 0.854922i | \(-0.673605\pi\) | ||||
−0.518757 | + | 0.854922i | \(0.673605\pi\) | |||||||
\(684\) | 52.9148 | + | 7.90492i | 2.02325 | + | 0.302252i | ||||
\(685\) | 19.7201 | 0.753468 | ||||||||
\(686\) | 10.8817 | − | 18.8476i | 0.415465 | − | 0.719606i | ||||
\(687\) | −5.06521 | + | 30.0975i | −0.193250 | + | 1.14829i | ||||
\(688\) | 20.3659 | + | 35.2747i | 0.776441 | + | 1.34484i | ||||
\(689\) | −8.32497 | −0.317156 | ||||||||
\(690\) | −14.7564 | + | 5.50163i | −0.561766 | + | 0.209444i | ||||
\(691\) | 20.9193 | + | 36.2333i | 0.795807 | + | 1.37838i | 0.922325 | + | 0.386415i | \(0.126287\pi\) |
−0.126518 | + | 0.991964i | \(0.540380\pi\) | |||||||
\(692\) | 39.1371 | 1.48777 | ||||||||
\(693\) | −2.15945 | − | 11.2202i | −0.0820308 | − | 0.426219i | ||||
\(694\) | −1.87504 | + | 3.24766i | −0.0711755 | + | 0.123280i | ||||
\(695\) | −2.74538 | − | 4.75513i | −0.104138 | − | 0.180373i | ||||
\(696\) | −54.7559 | + | 20.4147i | −2.07552 | + | 0.773817i | ||||
\(697\) | 13.4972 | + | 23.3779i | 0.511244 | + | 0.885501i | ||||
\(698\) | 21.4930 | 0.813523 | ||||||||
\(699\) | −9.10417 | − | 7.51905i | −0.344351 | − | 0.284397i | ||||
\(700\) | 1.76939 | − | 3.06468i | 0.0668768 | − | 0.115834i | ||||
\(701\) | −8.86597 | − | 15.3563i | −0.334863 | − | 0.580000i | 0.648595 | − | 0.761133i | \(-0.275357\pi\) |
−0.983459 | + | 0.181133i | \(0.942023\pi\) | |||||||
\(702\) | −4.03097 | + | 7.37525i | −0.152139 | + | 0.278361i | ||||
\(703\) | −9.55955 | + | 1.79065i | −0.360545 | + | 0.0675356i | ||||
\(704\) | −20.0448 | − | 34.7186i | −0.755467 | − | 1.30851i | ||||
\(705\) | 35.8999 | − | 13.3846i | 1.35207 | − | 0.504093i | ||||
\(706\) | 20.5305 | 0.772674 | ||||||||
\(707\) | 2.41718 | + | 4.18667i | 0.0909072 | + | 0.157456i | ||||
\(708\) | 78.3236 | + | 64.6867i | 2.94358 | + | 2.43108i | ||||
\(709\) | −7.38598 | −0.277386 | −0.138693 | − | 0.990335i | \(-0.544290\pi\) | ||||
−0.138693 | + | 0.990335i | \(0.544290\pi\) | |||||||
\(710\) | 2.83425 | 0.106367 | ||||||||
\(711\) | −2.42076 | − | 12.5779i | −0.0907856 | − | 0.471708i | ||||
\(712\) | 12.4874 | − | 21.6287i | 0.467984 | − | 0.810572i | ||||
\(713\) | 5.94541 | 0.222657 | ||||||||
\(714\) | −8.29235 | − | 6.84858i | −0.310334 | − | 0.256302i | ||||
\(715\) | −3.68078 | + | 6.37530i | −0.137653 | + | 0.238423i | ||||
\(716\) | −0.949937 | − | 1.64534i | −0.0355008 | − | 0.0614892i | ||||
\(717\) | 3.89472 | − | 23.1424i | 0.145451 | − | 0.864269i | ||||
\(718\) | −67.7144 | −2.52708 | ||||||||
\(719\) | −4.79763 | − | 8.30974i | −0.178921 | − | 0.309901i | 0.762590 | − | 0.646882i | \(-0.223927\pi\) |
−0.941511 | + | 0.336981i | \(0.890594\pi\) | |||||||
\(720\) | 4.94816 | + | 25.7099i | 0.184407 | + | 0.958151i | ||||
\(721\) | 0.921806 | 0.0343299 | ||||||||
\(722\) | −7.15879 | + | 46.3438i | −0.266423 | + | 1.72474i | ||||
\(723\) | 12.1522 | − | 4.53072i | 0.451945 | − | 0.168499i | ||||
\(724\) | −35.3564 | −1.31401 | ||||||||
\(725\) | 8.70556 | 0.323317 | ||||||||
\(726\) | −77.1139 | − | 63.6876i | −2.86196 | − | 2.36367i | ||||
\(727\) | −16.4424 | + | 28.4791i | −0.609815 | + | 1.05623i | 0.381455 | + | 0.924387i | \(0.375423\pi\) |
−0.991271 | + | 0.131844i | \(0.957910\pi\) | |||||||
\(728\) | 1.09846 | − | 1.90258i | 0.0407115 | − | 0.0705144i | ||||
\(729\) | −14.5794 | − | 22.7254i | −0.539977 | − | 0.841680i | ||||
\(730\) | −16.5955 | −0.614227 | ||||||||
\(731\) | −34.6289 | −1.28080 | ||||||||
\(732\) | 56.5143 | + | 46.6746i | 2.08883 | + | 1.72514i | ||||
\(733\) | −18.1159 | + | 31.3777i | −0.669126 | + | 1.15896i | 0.309022 | + | 0.951055i | \(0.399998\pi\) |
−0.978149 | + | 0.207906i | \(0.933335\pi\) | |||||||
\(734\) | −28.8679 | + | 50.0006i | −1.06553 | + | 1.84556i | ||||
\(735\) | 3.62157 | − | 21.5194i | 0.133584 | − | 0.793754i | ||||
\(736\) | 0.887636 | − | 1.53743i | 0.0327187 | − | 0.0566705i | ||||
\(737\) | 2.24003 | − | 3.87985i | 0.0825126 | − | 0.142916i | ||||
\(738\) | −9.75079 | − | 50.6636i | −0.358931 | − | 1.86495i | ||||
\(739\) | 12.0565 | + | 20.8825i | 0.443507 | + | 0.768177i | 0.997947 | − | 0.0640471i | \(-0.0204008\pi\) |
−0.554440 | + | 0.832224i | \(0.687067\pi\) | |||||||
\(740\) | −8.74206 | − | 15.1417i | −0.321364 | − | 0.556620i | ||||
\(741\) | −4.33000 | − | 2.39459i | −0.159066 | − | 0.0879673i | ||||
\(742\) | −10.1798 | + | 17.6320i | −0.373713 | + | 0.647290i | ||||
\(743\) | −24.3039 | −0.891623 | −0.445811 | − | 0.895127i | \(-0.647085\pi\) | ||||
−0.445811 | + | 0.895127i | \(0.647085\pi\) | |||||||
\(744\) | 4.58606 | − | 27.2504i | 0.168133 | − | 0.999048i | ||||
\(745\) | −15.6399 | −0.573001 | ||||||||
\(746\) | 4.67129 | + | 8.09092i | 0.171028 | + | 0.296230i | ||||
\(747\) | −18.7075 | − | 6.48024i | −0.684472 | − | 0.237100i | ||||
\(748\) | −92.9577 | −3.39887 | ||||||||
\(749\) | −2.45751 | − | 4.25654i | −0.0897956 | − | 0.155531i | ||||
\(750\) | 8.60352 | − | 51.1221i | 0.314156 | − | 1.86672i | ||||
\(751\) | 10.9678 | + | 18.9968i | 0.400221 | + | 0.693204i | 0.993752 | − | 0.111607i | \(-0.0355999\pi\) |
−0.593531 | + | 0.804811i | \(0.702267\pi\) | |||||||
\(752\) | −26.3146 | + | 45.5782i | −0.959594 | + | 1.66207i | ||||
\(753\) | −8.67957 | + | 51.5740i | −0.316301 | + | 1.87946i | ||||
\(754\) | 10.5728 | 0.385039 | ||||||||
\(755\) | 19.6473 | + | 34.0301i | 0.715039 | + | 1.23848i | ||||
\(756\) | 7.18108 | + | 11.7918i | 0.261173 | + | 0.428863i | ||||
\(757\) | −20.3751 | − | 35.2907i | −0.740545 | − | 1.28266i | −0.952247 | − | 0.305328i | \(-0.901234\pi\) |
0.211702 | − | 0.977334i | \(-0.432099\pi\) | |||||||
\(758\) | 6.37695 | − | 11.0452i | 0.231621 | − | 0.401180i | ||||
\(759\) | −3.24277 | + | 19.2686i | −0.117705 | + | 0.699404i | ||||
\(760\) | −42.3552 | + | 7.93376i | −1.53638 | + | 0.287788i | ||||
\(761\) | −6.54874 | + | 11.3427i | −0.237391 | + | 0.411174i | −0.959965 | − | 0.280120i | \(-0.909626\pi\) |
0.722574 | + | 0.691294i | \(0.242959\pi\) | |||||||
\(762\) | −23.5836 | − | 19.4775i | −0.854345 | − | 0.705595i | ||||
\(763\) | 2.46526 | − | 4.26995i | 0.0892484 | − | 0.154583i | ||||
\(764\) | 45.4195 | − | 78.6689i | 1.64322 | − | 2.84614i | ||||
\(765\) | −21.0328 | − | 7.28572i | −0.760443 | − | 0.263416i | ||||
\(766\) | 11.1077 | − | 19.2391i | 0.401337 | − | 0.695136i | ||||
\(767\) | −4.69732 | − | 8.13599i | −0.169610 | − | 0.293774i | ||||
\(768\) | 43.4336 | + | 35.8714i | 1.56727 | + | 1.29440i | ||||
\(769\) | −20.4459 | − | 35.4133i | −0.737297 | − | 1.27704i | −0.953708 | − | 0.300734i | \(-0.902768\pi\) |
0.216411 | − | 0.976302i | \(-0.430565\pi\) | |||||||
\(770\) | 9.00177 | + | 15.5915i | 0.324401 | + | 0.561880i | ||||
\(771\) | −31.1148 | − | 25.6975i | −1.12057 | − | 0.925471i | ||||
\(772\) | 9.65795 | + | 16.7281i | 0.347597 | + | 0.602056i | ||||
\(773\) | −9.81097 | + | 16.9931i | −0.352876 | + | 0.611199i | −0.986752 | − | 0.162235i | \(-0.948130\pi\) |
0.633876 | + | 0.773435i | \(0.281463\pi\) | |||||||
\(774\) | 62.5390 | + | 21.6634i | 2.24792 | + | 0.778674i | ||||
\(775\) | −2.05831 | + | 3.56510i | −0.0739367 | + | 0.128062i | ||||
\(776\) | −6.16579 | + | 10.6795i | −0.221339 | + | 0.383370i | ||||
\(777\) | −1.93512 | − | 1.59820i | −0.0694221 | − | 0.0573350i | ||||
\(778\) | −25.6238 | + | 44.3817i | −0.918657 | + | 1.59116i | ||||
\(779\) | 29.8540 | − | 5.59211i | 1.06963 | − | 0.200358i | ||||
\(780\) | 1.47622 | − | 8.77172i | 0.0528573 | − | 0.314078i | ||||
\(781\) | 1.75825 | − | 3.04537i | 0.0629150 | − | 0.108972i | ||||
\(782\) | 9.19579 | + | 15.9276i | 0.328841 | + | 0.569569i | ||||
\(783\) | −16.2890 | + | 29.8031i | −0.582122 | + | 1.06508i | ||||
\(784\) | 14.9877 | + | 25.9595i | 0.535275 | + | 0.927124i | ||||
\(785\) | −2.79752 | −0.0998478 | ||||||||
\(786\) | −4.84294 | + | 28.7767i | −0.172742 | + | 1.02643i | ||||
\(787\) | −3.19894 | + | 5.54073i | −0.114030 | + | 0.197506i | −0.917392 | − | 0.397986i | \(-0.869709\pi\) |
0.803362 | + | 0.595492i | \(0.203043\pi\) | |||||||
\(788\) | −16.8443 | − | 29.1753i | −0.600055 | − | 1.03933i | ||||
\(789\) | 4.39971 | − | 26.1431i | 0.156634 | − | 0.930718i | ||||
\(790\) | 10.0910 | + | 17.4782i | 0.359023 | + | 0.621847i | ||||
\(791\) | −3.17660 | −0.112947 | ||||||||
\(792\) | 85.8148 | + | 29.7261i | 3.04929 | + | 1.05627i | ||||
\(793\) | −3.38934 | − | 5.87051i | −0.120359 | − | 0.208468i | ||||
\(794\) | 13.3193 | 0.472683 | ||||||||
\(795\) | −6.99317 | + | 41.5534i | −0.248022 | + | 1.47375i | ||||
\(796\) | 10.8205 | 0.383523 | ||||||||
\(797\) | 23.8040 | − | 41.2297i | 0.843179 | − | 1.46043i | −0.0440136 | − | 0.999031i | \(-0.514014\pi\) |
0.887193 | − | 0.461399i | \(-0.152652\pi\) | |||||||
\(798\) | −10.3664 | + | 6.24266i | −0.366966 | + | 0.220988i | ||||
\(799\) | −22.3719 | − | 38.7493i | −0.791461 | − | 1.37085i | ||||
\(800\) | 0.614602 | + | 1.06452i | 0.0217295 | + | 0.0376365i | ||||
\(801\) | −2.74330 | − | 14.2537i | −0.0969296 | − | 0.503631i | ||||
\(802\) | −23.3562 | + | 40.4541i | −0.824736 | + | 1.42848i | ||||
\(803\) | −10.2951 | + | 17.8317i | −0.363307 | + | 0.629267i | ||||
\(804\) | −0.898392 | + | 5.33825i | −0.0316839 | + | 0.188265i | ||||
\(805\) | 1.19624 | − | 2.07194i | 0.0421618 | − | 0.0730263i | ||||
\(806\) | −2.49980 | + | 4.32977i | −0.0880515 | + | 0.152510i | ||||
\(807\) | 6.14854 | + | 5.07802i | 0.216439 | + | 0.178755i | ||||
\(808\) | −38.4246 | −1.35177 | ||||||||
\(809\) | 4.09101 | 0.143832 | 0.0719160 | − | 0.997411i | \(-0.477089\pi\) | ||||
0.0719160 | + | 0.997411i | \(0.477089\pi\) | |||||||
\(810\) | 33.4269 | + | 26.3157i | 1.17450 | + | 0.924638i | ||||
\(811\) | 11.1310 | − | 19.2794i | 0.390862 | − | 0.676993i | −0.601702 | − | 0.798721i | \(-0.705510\pi\) |
0.992563 | + | 0.121728i | \(0.0388437\pi\) | |||||||
\(812\) | 8.68367 | − | 15.0405i | 0.304737 | − | 0.527820i | ||||
\(813\) | −9.81200 | − | 8.10364i | −0.344122 | − | 0.284207i | ||||
\(814\) | −32.2969 | −1.13201 | ||||||||
\(815\) | 34.8332 | 1.22016 | ||||||||
\(816\) | 28.6492 | − | 10.6813i | 1.00292 | − | 0.373921i | ||||
\(817\) | −12.9360 | + | 36.7532i | −0.452575 | + | 1.28583i | ||||
\(818\) | 70.6030 | 2.46858 | ||||||||
\(819\) | −0.241315 | − | 1.25384i | −0.00843224 | − | 0.0438126i | ||||
\(820\) | 27.3010 | + | 47.2868i | 0.953393 | + | 1.65133i | ||||
\(821\) | 11.6491 | 0.406556 | 0.203278 | − | 0.979121i | \(-0.434840\pi\) | ||||
0.203278 | + | 0.979121i | \(0.434840\pi\) | |||||||
\(822\) | −7.30481 | + | 43.4052i | −0.254784 | + | 1.51393i | ||||
\(823\) | 6.75493 | + | 11.6999i | 0.235462 | + | 0.407832i | 0.959407 | − | 0.282026i | \(-0.0910063\pi\) |
−0.723945 | + | 0.689858i | \(0.757673\pi\) | |||||||
\(824\) | −3.66337 | + | 6.34515i | −0.127620 | + | 0.221044i | ||||
\(825\) | −10.4315 | − | 8.61529i | −0.363179 | − | 0.299946i | ||||
\(826\) | −22.9756 | −0.799425 | ||||||||
\(827\) | −5.09722 | + | 8.82865i | −0.177248 | + | 0.307002i | −0.940937 | − | 0.338582i | \(-0.890053\pi\) |
0.763689 | + | 0.645584i | \(0.223386\pi\) | |||||||
\(828\) | −4.46209 | − | 23.1844i | −0.155069 | − | 0.805712i | ||||
\(829\) | 6.76339 | 0.234902 | 0.117451 | − | 0.993079i | \(-0.462528\pi\) | ||||
0.117451 | + | 0.993079i | \(0.462528\pi\) | |||||||
\(830\) | 31.1949 | 1.08279 | ||||||||
\(831\) | 31.7400 | + | 26.2138i | 1.10105 | + | 0.909346i | ||||
\(832\) | −2.23998 | − | 3.87975i | −0.0776572 | − | 0.134506i | ||||
\(833\) | −25.4842 | −0.882976 | ||||||||
\(834\) | 11.4833 | − | 4.28132i | 0.397633 | − | 0.148250i | ||||
\(835\) | 8.51771 | + | 14.7531i | 0.294767 | + | 0.510552i | ||||
\(836\) | −34.7254 | + | 98.6599i | −1.20100 | + | 3.41223i | ||||
\(837\) | −8.35365 | − | 13.7172i | −0.288744 | − | 0.474136i | ||||
\(838\) | −36.7530 | − | 63.6580i | −1.26961 | − | 2.19903i | ||||
\(839\) | −1.11605 | + | 1.93306i | −0.0385305 | + | 0.0667367i | −0.884648 | − | 0.466260i | \(-0.845601\pi\) |
0.846117 | + | 0.532997i | \(0.178934\pi\) | |||||||
\(840\) | −8.57387 | − | 7.08108i | −0.295827 | − | 0.244320i | ||||
\(841\) | 13.7244 | 0.473254 | ||||||||
\(842\) | 0.780677 | + | 1.35217i | 0.0269039 | + | 0.0465990i | ||||
\(843\) | 20.8398 | − | 7.76973i | 0.717762 | − | 0.267604i | ||||
\(844\) | −33.8522 | − | 58.6337i | −1.16524 | − | 2.01826i | ||||
\(845\) | 12.0377 | − | 20.8500i | 0.414110 | − | 0.717260i | ||||
\(846\) | 16.1621 | + | 83.9758i | 0.555664 | + | 2.88715i | ||||
\(847\) | 15.1937 | 0.522060 | ||||||||
\(848\) | −28.9409 | − | 50.1272i | −0.993835 | − | 1.72137i | ||||
\(849\) | 2.44628 | − | 0.912050i | 0.0839562 | − | 0.0313015i | ||||
\(850\) | −12.7344 | −0.436786 | ||||||||
\(851\) | 2.14595 | + | 3.71689i | 0.0735622 | + | 0.127413i | ||||
\(852\) | −0.705166 | + | 4.19010i | −0.0241586 | + | 0.143550i | ||||
\(853\) | −15.9885 | + | 27.6930i | −0.547437 | + | 0.948189i | 0.451012 | + | 0.892518i | \(0.351063\pi\) |
−0.998449 | + | 0.0556710i | \(0.982270\pi\) | |||||||
\(854\) | −16.5780 | −0.567289 | ||||||||
\(855\) | −15.5897 | + | 19.6014i | −0.533156 | + | 0.670352i | ||||
\(856\) | 39.0659 | 1.33524 | ||||||||
\(857\) | 15.8658 | − | 27.4804i | 0.541966 | − | 0.938712i | −0.456826 | − | 0.889556i | \(-0.651014\pi\) |
0.998791 | − | 0.0491556i | \(-0.0156530\pi\) | |||||||
\(858\) | −12.6690 | − | 10.4632i | −0.432511 | − | 0.357207i | ||||
\(859\) | −2.92572 | − | 5.06749i | −0.0998242 | − | 0.172901i | 0.811788 | − | 0.583953i | \(-0.198495\pi\) |
−0.911612 | + | 0.411052i | \(0.865161\pi\) | |||||||
\(860\) | −70.0444 | −2.38849 | ||||||||
\(861\) | 6.04329 | + | 4.99110i | 0.205955 | + | 0.170096i | ||||
\(862\) | 29.5282 | + | 51.1444i | 1.00574 | + | 1.74199i | ||||
\(863\) | 29.7096 | 1.01133 | 0.505664 | − | 0.862731i | \(-0.331248\pi\) | ||||
0.505664 | + | 0.862731i | \(0.331248\pi\) | |||||||
\(864\) | −4.79433 | + | 0.112234i | −0.163106 | + | 0.00381827i | ||||
\(865\) | −9.16029 | + | 15.8661i | −0.311459 | + | 0.539463i | ||||
\(866\) | −5.50575 | − | 9.53624i | −0.187093 | − | 0.324055i | ||||
\(867\) | 0.572620 | − | 3.40251i | 0.0194472 | − | 0.115555i | ||||
\(868\) | 4.10627 | + | 7.11226i | 0.139376 | + | 0.241406i | ||||
\(869\) | 25.0402 | 0.849431 | ||||||||
\(870\) | 8.88142 | − | 52.7734i | 0.301108 | − | 1.78919i | ||||
\(871\) | 0.250320 | − | 0.433567i | 0.00848177 | − | 0.0146908i | ||||
\(872\) | 19.5945 | + | 33.9387i | 0.663553 | + | 1.14931i | ||||
\(873\) | 1.35454 | + | 7.03796i | 0.0458441 | + | 0.238199i | ||||
\(874\) | 20.3398 | − | 3.80996i | 0.688005 | − | 0.128874i | ||||
\(875\) | 3.93775 | + | 6.82038i | 0.133120 | + | 0.230571i | ||||
\(876\) | 4.12899 | − | 24.5345i | 0.139506 | − | 0.828942i | ||||
\(877\) | 39.7375 | 1.34184 | 0.670920 | − | 0.741530i | \(-0.265899\pi\) | ||||
0.670920 | + | 0.741530i | \(0.265899\pi\) | |||||||
\(878\) | −19.9749 | − | 34.5975i | −0.674120 | − | 1.16761i | ||||
\(879\) | 7.29444 | − | 43.3435i | 0.246035 | − | 1.46194i | ||||
\(880\) | −51.1835 | −1.72540 | ||||||||
\(881\) | −22.1976 | −0.747855 | −0.373927 | − | 0.927458i | \(-0.621989\pi\) | ||||
−0.373927 | + | 0.927458i | \(0.621989\pi\) | |||||||
\(882\) | 46.0239 | + | 15.9426i | 1.54970 | + | 0.536815i | ||||
\(883\) | 0.944299 | − | 1.63557i | 0.0317782 | − | 0.0550414i | −0.849699 | − | 0.527268i | \(-0.823216\pi\) |
0.881477 | + | 0.472227i | \(0.156550\pi\) | |||||||
\(884\) | −10.3879 | −0.349382 | ||||||||
\(885\) | −44.5561 | + | 16.6119i | −1.49774 | + | 0.558402i | ||||
\(886\) | 21.7798 | − | 37.7237i | 0.731707 | − | 1.26735i | ||||
\(887\) | −15.6748 | − | 27.1496i | −0.526309 | − | 0.911595i | −0.999530 | − | 0.0306507i | \(-0.990242\pi\) |
0.473221 | − | 0.880944i | \(-0.343091\pi\) | |||||||
\(888\) | 18.6914 | − | 6.96874i | 0.627243 | − | 0.233856i | ||||
\(889\) | 4.64665 | 0.155844 | ||||||||
\(890\) | 11.4355 | + | 19.8070i | 0.383320 | + | 0.663931i | ||||
\(891\) | 49.0125 | − | 19.5917i | 1.64198 | − | 0.656348i | ||||
\(892\) | 37.8197 | 1.26630 | ||||||||
\(893\) | −49.4835 | + | 9.26901i | −1.65590 | + | 0.310176i | ||||
\(894\) | 5.79339 | − | 34.4243i | 0.193760 | − | 1.15132i | ||||
\(895\) | 0.889357 | 0.0297279 | ||||||||
\(896\) | −12.1550 | −0.406068 | ||||||||
\(897\) | −0.362375 | + | 2.15323i | −0.0120993 | + | 0.0718942i | ||||
\(898\) | 50.8721 | − | 88.1130i | 1.69762 | − | 2.94037i | ||||
\(899\) | −10.1016 | + | 17.4965i | −0.336907 | + | 0.583540i | ||||
\(900\) | 15.4470 | + | 5.35082i | 0.514901 | + | 0.178361i | ||||
\(901\) | 49.2095 | 1.63941 | ||||||||
\(902\) | 100.862 | 3.35832 | ||||||||
\(903\) | −9.42108 | + | 3.51247i | −0.313514 | + | 0.116888i | ||||
\(904\) | 12.6242 | − | 21.8658i | 0.419875 | − | 0.727245i | ||||
\(905\) | 8.27540 | − | 14.3334i | 0.275084 | − | 0.476459i | ||||
\(906\) | −82.1802 | + | 30.6393i | −2.73025 | + | 1.01792i | ||||
\(907\) | −15.4376 | + | 26.7387i | −0.512596 | + | 0.887843i | 0.487297 | + | 0.873236i | \(0.337983\pi\) |
−0.999893 | + | 0.0146063i | \(0.995350\pi\) | |||||||
\(908\) | 21.4443 | − | 37.1427i | 0.711655 | − | 1.23262i | ||||
\(909\) | −16.8816 | + | 14.6202i | −0.559926 | + | 0.484921i | ||||
\(910\) | 1.00593 | + | 1.74233i | 0.0333464 | + | 0.0577576i | ||||
\(911\) | −18.4983 | − | 32.0401i | −0.612877 | − | 1.06153i | −0.990753 | − | 0.135678i | \(-0.956679\pi\) |
0.377875 | − | 0.925856i | \(-0.376655\pi\) | |||||||
\(912\) | −0.634287 | − | 34.3968i | −0.0210033 | − | 1.13899i | ||||
\(913\) | 19.3520 | − | 33.5186i | 0.640457 | − | 1.10930i | ||||
\(914\) | 10.1679 | 0.336325 | ||||||||
\(915\) | −32.1493 | + | 11.9863i | −1.06282 | + | 0.396254i | ||||
\(916\) | 72.0951 | 2.38209 | ||||||||
\(917\) | −2.21657 | − | 3.83920i | −0.0731974 | − | 0.126782i | ||||
\(918\) | 23.8273 | − | 43.5956i | 0.786420 | − | 1.43887i | ||||
\(919\) | 43.0561 | 1.42029 | 0.710146 | − | 0.704055i | \(-0.248629\pi\) | ||||
0.710146 | + | 0.704055i | \(0.248629\pi\) | |||||||
\(920\) | 9.50798 | + | 16.4683i | 0.313469 | + | 0.542944i | ||||
\(921\) | 11.1761 | + | 9.23025i | 0.368265 | + | 0.304147i | ||||
\(922\) | 17.3036 | + | 29.9706i | 0.569862 | + | 0.987031i | ||||
\(923\) | 0.196481 | − | 0.340315i | 0.00646725 | − | 0.0112016i | ||||
\(924\) | −25.2899 | + | 9.42884i | −0.831975 | + | 0.310186i | ||||
\(925\) | −2.97172 | −0.0977096 | ||||||||
\(926\) | 30.7972 | + | 53.3423i | 1.01206 | + | 1.75294i | ||||
\(927\) | 0.804791 | + | 4.18157i | 0.0264328 | + | 0.137341i | ||||
\(928\) | 3.01629 | + | 5.22436i | 0.0990145 | + | 0.171498i | ||||
\(929\) | −22.1233 | + | 38.3187i | −0.725841 | + | 1.25719i | 0.232785 | + | 0.972528i | \(0.425216\pi\) |
−0.958627 | + | 0.284666i | \(0.908117\pi\) | |||||||
\(930\) | 19.5118 | + | 16.1147i | 0.639819 | + | 0.528420i | ||||
\(931\) | −9.51993 | + | 27.0475i | −0.312003 | + | 0.886446i | ||||
\(932\) | −13.9459 | + | 24.1550i | −0.456813 | + | 0.791224i | ||||
\(933\) | 2.08801 | − | 12.4069i | 0.0683583 | − | 0.406185i | ||||
\(934\) | 28.3961 | − | 49.1835i | 0.929149 | − | 1.60933i | ||||
\(935\) | 21.7574 | − | 37.6849i | 0.711542 | − | 1.23243i | ||||
\(936\) | 9.58966 | + | 3.32184i | 0.313448 | + | 0.108578i | ||||
\(937\) | 1.92051 | − | 3.32642i | 0.0627402 | − | 0.108669i | −0.832949 | − | 0.553350i | \(-0.813349\pi\) |
0.895689 | + | 0.444680i | \(0.146683\pi\) | |||||||
\(938\) | −0.612186 | − | 1.06034i | −0.0199886 | − | 0.0346212i | ||||
\(939\) | 23.8969 | − | 8.90950i | 0.779846 | − | 0.290751i | ||||
\(940\) | −45.2519 | − | 78.3786i | −1.47595 | − | 2.55643i | ||||
\(941\) | 13.5614 | + | 23.4891i | 0.442090 | + | 0.765722i | 0.997844 | − | 0.0656247i | \(-0.0209040\pi\) |
−0.555755 | + | 0.831346i | \(0.687571\pi\) | |||||||
\(942\) | 1.03627 | − | 6.15751i | 0.0337635 | − | 0.200622i | ||||
\(943\) | −6.70169 | − | 11.6077i | −0.218237 | − | 0.377998i | ||||
\(944\) | 32.6595 | − | 56.5680i | 1.06298 | − | 1.84113i | ||||
\(945\) | −6.46114 | + | 0.151253i | −0.210181 | + | 0.00492027i | ||||
\(946\) | −64.6934 | + | 112.052i | −2.10337 | + | 3.64314i | ||||
\(947\) | 5.77749 | − | 10.0069i | 0.187743 | − | 0.325181i | −0.756754 | − | 0.653699i | \(-0.773216\pi\) |
0.944497 | + | 0.328519i | \(0.106549\pi\) | |||||||
\(948\) | −28.3501 | + | 10.5698i | −0.920769 | + | 0.343291i | ||||
\(949\) | −1.15046 | + | 1.99266i | −0.0373456 | + | 0.0646846i | ||||
\(950\) | −4.75708 | + | 13.5156i | −0.154340 | + | 0.438502i | ||||
\(951\) | −26.5111 | + | 9.88417i | −0.859682 | + | 0.320516i | ||||
\(952\) | −6.49306 | + | 11.2463i | −0.210441 | + | 0.364495i | ||||
\(953\) | −19.4213 | − | 33.6388i | −0.629119 | − | 1.08967i | −0.987729 | − | 0.156178i | \(-0.950082\pi\) |
0.358610 | − | 0.933488i | \(-0.383251\pi\) | |||||||
\(954\) | −88.8711 | − | 30.7848i | −2.87731 | − | 0.996694i | ||||
\(955\) | 21.2615 | + | 36.8260i | 0.688005 | + | 1.19166i | ||||
\(956\) | −55.4350 | −1.79290 | ||||||||
\(957\) | −51.1948 | − | 42.2813i | −1.65489 | − | 1.36676i | ||||
\(958\) | −4.73485 | + | 8.20100i | −0.152976 | + | 0.264962i | ||||
\(959\) | −3.34334 | − | 5.79084i | −0.107962 | − | 0.186996i | ||||
\(960\) | −21.2471 | + | 7.92158i | −0.685748 | + | 0.255668i | ||||
\(961\) | 10.7232 | + | 18.5732i | 0.345911 | + | 0.599135i | ||||
\(962\) | −3.60912 | −0.116363 | ||||||||
\(963\) | 17.1633 | − | 14.8642i | 0.553079 | − | 0.478991i | ||||
\(964\) | −15.3179 | − | 26.5313i | −0.493356 | − | 0.854517i | ||||
\(965\) | −9.04204 | −0.291073 | ||||||||
\(966\) | 4.11735 | + | 3.40048i | 0.132473 | + | 0.109409i | ||||
\(967\) | −44.3816 | −1.42722 | −0.713608 | − | 0.700545i | \(-0.752940\pi\) | ||||
−0.713608 | + | 0.700545i | \(0.752940\pi\) | |||||||
\(968\) | −60.3815 | + | 104.584i | −1.94073 | + | 3.36145i | ||||
\(969\) | 25.5949 | + | 14.1546i | 0.822228 | + | 0.454710i | ||||
\(970\) | −5.64644 | − | 9.77993i | −0.181296 | − | 0.314015i | ||||
\(971\) | 4.70379 | + | 8.14720i | 0.150952 | + | 0.261456i | 0.931578 | − | 0.363543i | \(-0.118433\pi\) |
−0.780626 | + | 0.624999i | \(0.785100\pi\) | |||||||
\(972\) | −47.2212 | + | 42.8703i | −1.51462 | + | 1.37506i | ||||
\(973\) | −0.930900 | + | 1.61237i | −0.0298433 | + | 0.0516901i | ||||
\(974\) | 38.2372 | − | 66.2287i | 1.22520 | − | 2.12210i | ||||
\(975\) | −1.16570 | − | 0.962745i | −0.0373324 | − | 0.0308325i | ||||
\(976\) | 23.5654 | − | 40.8165i | 0.754311 | − | 1.30650i | ||||
\(977\) | −2.98306 | + | 5.16682i | −0.0954367 | + | 0.165301i | −0.909791 | − | 0.415067i | \(-0.863758\pi\) |
0.814354 | + | 0.580368i | \(0.197091\pi\) | |||||||
\(978\) | −12.9031 | + | 76.6700i | −0.412594 | + | 2.45164i | ||||
\(979\) | 28.3765 | 0.906917 | ||||||||
\(980\) | −51.5472 | −1.64662 | ||||||||
\(981\) | 21.5220 | + | 7.45518i | 0.687145 | + | 0.238026i | ||||
\(982\) | 34.3121 | − | 59.4303i | 1.09494 | − | 1.89650i | ||||
\(983\) | 26.2848 | − | 45.5267i | 0.838356 | − | 1.45208i | −0.0529116 | − | 0.998599i | \(-0.516850\pi\) |
0.891268 | − | 0.453477i | \(-0.149817\pi\) | |||||||
\(984\) | −58.3724 | + | 21.7630i | −1.86084 | + | 0.693780i | ||||
\(985\) | 15.7701 | 0.502478 | ||||||||
\(986\) | −62.4967 | −1.99030 | ||||||||
\(987\) | −10.0169 | − | 8.27283i | −0.318840 | − | 0.263327i | ||||
\(988\) | −3.88051 | + | 11.0251i | −0.123455 | + | 0.350755i | ||||
\(989\) | 17.1941 | 0.546740 | ||||||||
\(990\) | −62.8684 | + | 54.4468i | −1.99809 | + | 1.73043i | ||||
\(991\) | 19.1553 | + | 33.1780i | 0.608489 | + | 1.05393i | 0.991490 | + | 0.130186i | \(0.0415576\pi\) |
−0.383000 | + | 0.923748i | \(0.625109\pi\) | |||||||
\(992\) | −2.85264 | −0.0905713 | ||||||||
\(993\) | −36.1632 | − | 29.8668i | −1.14760 | − | 0.947795i | ||||
\(994\) | −0.480517 | − | 0.832280i | −0.0152411 | − | 0.0263983i | ||||
\(995\) | −2.53262 | + | 4.38662i | −0.0802893 | + | 0.139065i | ||||
\(996\) | −7.76135 | + | 46.1179i | −0.245928 | + | 1.46130i | ||||
\(997\) | 15.3279 | 0.485441 | 0.242720 | − | 0.970096i | \(-0.421960\pi\) | ||||
0.242720 | + | 0.970096i | \(0.421960\pi\) | |||||||
\(998\) | 26.7278 | − | 46.2939i | 0.846054 | − | 1.46541i | ||||
\(999\) | 5.56040 | − | 10.1736i | 0.175923 | − | 0.321877i |
(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 | 171.2.g.c.121.1 | yes | 32 | |
3.2 | odd | 2 | 513.2.g.c.64.16 | 32 | |||
9.2 | odd | 6 | 513.2.h.c.235.1 | 32 | |||
9.7 | even | 3 | 171.2.h.c.7.16 | yes | 32 | ||
19.11 | even | 3 | 171.2.h.c.49.16 | yes | 32 | ||
57.11 | odd | 6 | 513.2.h.c.334.1 | 32 | |||
171.11 | odd | 6 | 513.2.g.c.505.16 | 32 | |||
171.106 | even | 3 | inner | 171.2.g.c.106.1 | ✓ | 32 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
171.2.g.c.106.1 | ✓ | 32 | 171.106 | even | 3 | inner | |
171.2.g.c.121.1 | yes | 32 | 1.1 | even | 1 | trivial | |
171.2.h.c.7.16 | yes | 32 | 9.7 | even | 3 | ||
171.2.h.c.49.16 | yes | 32 | 19.11 | even | 3 | ||
513.2.g.c.64.16 | 32 | 3.2 | odd | 2 | |||
513.2.g.c.505.16 | 32 | 171.11 | odd | 6 | |||
513.2.h.c.235.1 | 32 | 9.2 | odd | 6 | |||
513.2.h.c.334.1 | 32 | 57.11 | odd | 6 |