Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [966,2,Mod(97,966)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(966, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([0, 11, 1]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("966.97");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 966 = 2 \cdot 3 \cdot 7 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 966.s (of order \(22\), degree \(10\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.71354883526\) |
Analytic rank: | \(0\) |
Dimension: | \(160\) |
Relative dimension: | \(16\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 181.8 | ||
Character | \(\chi\) | \(=\) | 966.181 |
Dual form | 966.2.s.b.475.8 |
$q$-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 \(\left(\mathbb{Z}/966\mathbb{Z}\right)^\times\).
\(n\) | \(323\) | \(829\) | \(925\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{5}{22}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.142315 | + | 0.989821i | 0.100632 | + | 0.699909i | ||||
\(3\) | −0.909632 | − | 0.415415i | −0.525176 | − | 0.239840i | ||||
\(4\) | −0.959493 | + | 0.281733i | −0.479746 | + | 0.140866i | ||||
\(5\) | 2.43577 | − | 2.81103i | 1.08931 | − | 1.25713i | 0.125056 | − | 0.992150i | \(-0.460089\pi\) |
0.964254 | − | 0.264981i | \(-0.0853656\pi\) | |||||||
\(6\) | 0.281733 | − | 0.959493i | 0.115017 | − | 0.391711i | ||||
\(7\) | −2.26148 | + | 1.37321i | −0.854760 | + | 0.519024i | ||||
\(8\) | −0.415415 | − | 0.909632i | −0.146871 | − | 0.321603i | ||||
\(9\) | 0.654861 | + | 0.755750i | 0.218287 | + | 0.251917i | ||||
\(10\) | 3.12906 | + | 2.01093i | 0.989497 | + | 0.635911i | ||||
\(11\) | −5.43364 | − | 0.781240i | −1.63831 | − | 0.235553i | −0.739264 | − | 0.673416i | \(-0.764826\pi\) |
−0.899042 | + | 0.437863i | \(0.855735\pi\) | |||||||
\(12\) | 0.989821 | + | 0.142315i | 0.285737 | + | 0.0410828i | ||||
\(13\) | 0.737541 | − | 1.14764i | 0.204557 | − | 0.318297i | −0.723784 | − | 0.690027i | \(-0.757599\pi\) |
0.928341 | + | 0.371730i | \(0.121235\pi\) | |||||||
\(14\) | −1.68107 | − | 2.04304i | −0.449286 | − | 0.546024i | ||||
\(15\) | −3.38340 | + | 1.54515i | −0.873590 | + | 0.398955i | ||||
\(16\) | 0.841254 | − | 0.540641i | 0.210313 | − | 0.135160i | ||||
\(17\) | −0.428654 | − | 0.125864i | −0.103964 | − | 0.0305265i | 0.229337 | − | 0.973347i | \(-0.426344\pi\) |
−0.333301 | + | 0.942821i | \(0.608162\pi\) | |||||||
\(18\) | −0.654861 | + | 0.755750i | −0.154352 | + | 0.178132i | ||||
\(19\) | 3.85282 | − | 1.13129i | 0.883897 | − | 0.259536i | 0.191882 | − | 0.981418i | \(-0.438541\pi\) |
0.692016 | + | 0.721882i | \(0.256723\pi\) | |||||||
\(20\) | −1.54515 | + | 3.38340i | −0.345505 | + | 0.756551i | ||||
\(21\) | 2.62757 | − | 0.309660i | 0.573382 | − | 0.0675733i | ||||
\(22\) | − | 5.48952i | − | 1.17037i | ||||||
\(23\) | −2.48580 | + | 4.10132i | −0.518326 | + | 0.855183i | ||||
\(24\) | 1.00000i | 0.204124i | ||||||||
\(25\) | −1.25733 | − | 8.74494i | −0.251466 | − | 1.74899i | ||||
\(26\) | 1.24092 | + | 0.566708i | 0.243364 | + | 0.111141i | ||||
\(27\) | −0.281733 | − | 0.959493i | −0.0542195 | − | 0.184655i | ||||
\(28\) | 1.78300 | − | 1.95472i | 0.336955 | − | 0.369407i | ||||
\(29\) | −8.12381 | − | 2.38537i | −1.50855 | − | 0.442951i | −0.580146 | − | 0.814513i | \(-0.697004\pi\) |
−0.928408 | + | 0.371561i | \(0.878823\pi\) | |||||||
\(30\) | −2.01093 | − | 3.12906i | −0.367143 | − | 0.571286i | ||||
\(31\) | −6.53827 | + | 2.98593i | −1.17431 | + | 0.536289i | −0.904437 | − | 0.426608i | \(-0.859709\pi\) |
−0.269872 | + | 0.962896i | \(0.586981\pi\) | |||||||
\(32\) | 0.654861 | + | 0.755750i | 0.115764 | + | 0.133599i | ||||
\(33\) | 4.61808 | + | 2.96786i | 0.803904 | + | 0.516638i | ||||
\(34\) | 0.0635792 | − | 0.442203i | 0.0109037 | − | 0.0758372i | ||||
\(35\) | −1.64833 | + | 9.70191i | −0.278618 | + | 1.63992i | ||||
\(36\) | −0.841254 | − | 0.540641i | −0.140209 | − | 0.0901068i | ||||
\(37\) | −5.76375 | + | 4.99432i | −0.947554 | + | 0.821061i | −0.983981 | − | 0.178276i | \(-0.942948\pi\) |
0.0364262 | + | 0.999336i | \(0.488403\pi\) | |||||||
\(38\) | 1.66809 | + | 3.65260i | 0.270600 | + | 0.592530i | ||||
\(39\) | −1.14764 | + | 0.737541i | −0.183769 | + | 0.118101i | ||||
\(40\) | −3.56886 | − | 1.04791i | −0.564286 | − | 0.165689i | ||||
\(41\) | −5.00761 | − | 4.33912i | −0.782057 | − | 0.677657i | 0.169362 | − | 0.985554i | \(-0.445829\pi\) |
−0.951420 | + | 0.307897i | \(0.900375\pi\) | |||||||
\(42\) | 0.680450 | + | 2.55675i | 0.104996 | + | 0.394516i | ||||
\(43\) | 0.454906 | + | 0.207749i | 0.0693726 | + | 0.0316814i | 0.449799 | − | 0.893130i | \(-0.351496\pi\) |
−0.380427 | + | 0.924811i | \(0.624223\pi\) | |||||||
\(44\) | 5.43364 | − | 0.781240i | 0.819153 | − | 0.117776i | ||||
\(45\) | 3.71952 | 0.554474 | ||||||||
\(46\) | −4.41334 | − | 1.87682i | −0.650711 | − | 0.276722i | ||||
\(47\) | 5.66812i | 0.826781i | 0.910554 | + | 0.413390i | \(0.135656\pi\) | ||||
−0.910554 | + | 0.413390i | \(0.864344\pi\) | |||||||
\(48\) | −0.989821 | + | 0.142315i | −0.142868 | + | 0.0205414i | ||||
\(49\) | 3.22860 | − | 6.21097i | 0.461229 | − | 0.887281i | ||||
\(50\) | 8.47699 | − | 2.48907i | 1.19883 | − | 0.352007i | ||||
\(51\) | 0.337631 | + | 0.292559i | 0.0472779 | + | 0.0409665i | ||||
\(52\) | −0.384339 | + | 1.30894i | −0.0532982 | + | 0.181517i | ||||
\(53\) | −4.15055 | − | 6.45838i | −0.570122 | − | 0.887127i | 0.429753 | − | 0.902946i | \(-0.358601\pi\) |
−0.999875 | + | 0.0158198i | \(0.994964\pi\) | |||||||
\(54\) | 0.909632 | − | 0.415415i | 0.123785 | − | 0.0565308i | ||||
\(55\) | −15.4312 | + | 13.3712i | −2.08074 | + | 1.80297i | ||||
\(56\) | 2.18857 | + | 1.48667i | 0.292460 | + | 0.198664i | ||||
\(57\) | −3.97460 | − | 0.571461i | −0.526449 | − | 0.0756919i | ||||
\(58\) | 1.20495 | − | 8.38060i | 0.158217 | − | 1.10043i | ||||
\(59\) | 3.71300 | − | 5.77755i | 0.483392 | − | 0.752172i | −0.510811 | − | 0.859693i | \(-0.670655\pi\) |
0.994203 | + | 0.107521i | \(0.0342912\pi\) | |||||||
\(60\) | 2.81103 | − | 2.43577i | 0.362902 | − | 0.314457i | ||||
\(61\) | −1.01557 | − | 2.22379i | −0.130031 | − | 0.284728i | 0.833407 | − | 0.552660i | \(-0.186387\pi\) |
−0.963438 | + | 0.267932i | \(0.913660\pi\) | |||||||
\(62\) | −3.88603 | − | 6.04678i | −0.493526 | − | 0.767942i | ||||
\(63\) | −2.51876 | − | 0.809854i | −0.317334 | − | 0.102032i | ||||
\(64\) | −0.654861 | + | 0.755750i | −0.0818576 | + | 0.0944687i | ||||
\(65\) | −1.42956 | − | 4.86863i | −0.177315 | − | 0.603879i | ||||
\(66\) | −2.28043 | + | 4.99344i | −0.280701 | + | 0.614650i | ||||
\(67\) | 2.31160 | − | 0.332358i | 0.282407 | − | 0.0406040i | 0.000344144 | − | 1.00000i | \(-0.499890\pi\) |
0.282063 | + | 0.959396i | \(0.408981\pi\) | |||||||
\(68\) | 0.446750 | 0.0541765 | ||||||||
\(69\) | 3.96491 | − | 2.69805i | 0.477319 | − | 0.324807i | ||||
\(70\) | −9.83774 | − | 0.250822i | −1.17583 | − | 0.0299790i | ||||
\(71\) | −0.545983 | − | 3.79740i | −0.0647963 | − | 0.450668i | −0.996230 | − | 0.0867559i | \(-0.972350\pi\) |
0.931433 | − | 0.363912i | \(-0.118559\pi\) | |||||||
\(72\) | 0.415415 | − | 0.909632i | 0.0489571 | − | 0.107201i | ||||
\(73\) | 0.550021 | + | 1.87320i | 0.0643751 | + | 0.219241i | 0.985398 | − | 0.170267i | \(-0.0544631\pi\) |
−0.921023 | + | 0.389509i | \(0.872645\pi\) | |||||||
\(74\) | −5.76375 | − | 4.99432i | −0.670022 | − | 0.580577i | ||||
\(75\) | −2.48907 | + | 8.47699i | −0.287413 | + | 0.978838i | ||||
\(76\) | −3.37803 | + | 2.17093i | −0.387487 | + | 0.249023i | ||||
\(77\) | 13.3609 | − | 5.69476i | 1.52262 | − | 0.648978i | ||||
\(78\) | −0.893359 | − | 1.03099i | −0.101153 | − | 0.116737i | ||||
\(79\) | −4.93755 | + | 7.68297i | −0.555518 | + | 0.864402i | −0.999500 | − | 0.0316335i | \(-0.989929\pi\) |
0.443982 | + | 0.896036i | \(0.353565\pi\) | |||||||
\(80\) | 0.529344 | − | 3.68167i | 0.0591824 | − | 0.411623i | ||||
\(81\) | −0.142315 | + | 0.989821i | −0.0158128 | + | 0.109980i | ||||
\(82\) | 3.58230 | − | 5.57416i | 0.395598 | − | 0.615563i | ||||
\(83\) | −7.99401 | − | 9.22557i | −0.877456 | − | 1.01264i | −0.999797 | − | 0.0201502i | \(-0.993586\pi\) |
0.122341 | − | 0.992488i | \(-0.460960\pi\) | |||||||
\(84\) | −2.43389 | + | 1.03739i | −0.265559 | + | 0.113188i | ||||
\(85\) | −1.39791 | + | 0.898383i | −0.151625 | + | 0.0974433i | ||||
\(86\) | −0.140894 | + | 0.479842i | −0.0151930 | + | 0.0517427i | ||||
\(87\) | 6.39876 | + | 5.54456i | 0.686019 | + | 0.594439i | ||||
\(88\) | 1.54658 | + | 5.26716i | 0.164866 | + | 0.561481i | ||||
\(89\) | −1.46177 | + | 3.20082i | −0.154947 | + | 0.339286i | −0.971147 | − | 0.238484i | \(-0.923350\pi\) |
0.816200 | + | 0.577770i | \(0.196077\pi\) | |||||||
\(90\) | 0.529344 | + | 3.68167i | 0.0557977 | + | 0.388082i | ||||
\(91\) | −0.0919931 | + | 3.60815i | −0.00964350 | + | 0.378237i | ||||
\(92\) | 1.22964 | − | 4.63551i | 0.128198 | − | 0.483286i | ||||
\(93\) | 7.18782 | 0.745342 | ||||||||
\(94\) | −5.61043 | + | 0.806658i | −0.578672 | + | 0.0832004i | ||||
\(95\) | 6.20449 | − | 13.5859i | 0.636568 | − | 1.39389i | ||||
\(96\) | −0.281733 | − | 0.959493i | −0.0287542 | − | 0.0979278i | ||||
\(97\) | 6.92355 | − | 7.99020i | 0.702980 | − | 0.811282i | −0.286172 | − | 0.958178i | \(-0.592383\pi\) |
0.989152 | + | 0.146896i | \(0.0469283\pi\) | |||||||
\(98\) | 6.60723 | + | 2.31183i | 0.667431 | + | 0.233530i | ||||
\(99\) | −2.96786 | − | 4.61808i | −0.298281 | − | 0.464134i | ||||
\(100\) | 3.67014 | + | 8.03647i | 0.367014 | + | 0.803647i | ||||
\(101\) | 6.82169 | − | 5.91103i | 0.678783 | − | 0.588169i | −0.245721 | − | 0.969341i | \(-0.579025\pi\) |
0.924504 | + | 0.381171i | \(0.124479\pi\) | |||||||
\(102\) | −0.241532 | + | 0.375830i | −0.0239152 | + | 0.0372128i | ||||
\(103\) | 2.35220 | − | 16.3599i | 0.231769 | − | 1.61199i | −0.458678 | − | 0.888603i | \(-0.651677\pi\) |
0.690446 | − | 0.723384i | \(-0.257414\pi\) | |||||||
\(104\) | −1.35031 | − | 0.194146i | −0.132409 | − | 0.0190375i | ||||
\(105\) | 5.52969 | − | 8.14043i | 0.539642 | − | 0.794425i | ||||
\(106\) | 5.80196 | − | 5.02742i | 0.563536 | − | 0.488307i | ||||
\(107\) | 11.2675 | − | 5.14572i | 1.08928 | − | 0.497455i | 0.211915 | − | 0.977288i | \(-0.432030\pi\) |
0.877360 | + | 0.479833i | \(0.159303\pi\) | |||||||
\(108\) | 0.540641 | + | 0.841254i | 0.0520232 | + | 0.0809497i | ||||
\(109\) | −2.17327 | + | 7.40148i | −0.208162 | + | 0.708933i | 0.787536 | + | 0.616269i | \(0.211357\pi\) |
−0.995697 | + | 0.0926644i | \(0.970462\pi\) | |||||||
\(110\) | −15.4312 | − | 13.3712i | −1.47131 | − | 1.27490i | ||||
\(111\) | 7.31760 | − | 2.14864i | 0.694556 | − | 0.203940i | ||||
\(112\) | −1.16007 | + | 2.37787i | −0.109616 | + | 0.224687i | ||||
\(113\) | −15.9106 | + | 2.28759i | −1.49674 | + | 0.215199i | −0.841515 | − | 0.540234i | \(-0.818336\pi\) |
−0.655226 | + | 0.755433i | \(0.727427\pi\) | |||||||
\(114\) | − | 4.01547i | − | 0.376084i | ||||||
\(115\) | 5.47407 | + | 16.9775i | 0.510460 | + | 1.58316i | ||||
\(116\) | 8.46678 | 0.786120 | ||||||||
\(117\) | 1.35031 | − | 0.194146i | 0.124836 | − | 0.0179488i | ||||
\(118\) | 6.24716 | + | 2.85298i | 0.575097 | + | 0.262638i | ||||
\(119\) | 1.14223 | − | 0.303991i | 0.104708 | − | 0.0278668i | ||||
\(120\) | 2.81103 | + | 2.43577i | 0.256611 | + | 0.222354i | ||||
\(121\) | 18.3597 | + | 5.39091i | 1.66907 | + | 0.490082i | ||||
\(122\) | 2.05663 | − | 1.32171i | 0.186198 | − | 0.119662i | ||||
\(123\) | 2.75255 | + | 6.02724i | 0.248189 | + | 0.543458i | ||||
\(124\) | 5.43219 | − | 4.70702i | 0.487825 | − | 0.422703i | ||||
\(125\) | −11.9995 | − | 7.71163i | −1.07327 | − | 0.689749i | ||||
\(126\) | 0.443155 | − | 2.60837i | 0.0394794 | − | 0.232372i | ||||
\(127\) | −1.37586 | + | 9.56930i | −0.122088 | + | 0.849138i | 0.833097 | + | 0.553127i | \(0.186566\pi\) |
−0.955184 | + | 0.296011i | \(0.904343\pi\) | |||||||
\(128\) | −0.841254 | − | 0.540641i | −0.0743570 | − | 0.0477863i | ||||
\(129\) | −0.327495 | − | 0.377950i | −0.0288344 | − | 0.0332766i | ||||
\(130\) | 4.61562 | − | 2.10788i | 0.404817 | − | 0.184874i | ||||
\(131\) | −7.66456 | − | 11.9263i | −0.669656 | − | 1.04200i | −0.995331 | − | 0.0965228i | \(-0.969228\pi\) |
0.325675 | − | 0.945482i | \(-0.394408\pi\) | |||||||
\(132\) | −5.26716 | − | 1.54658i | −0.458447 | − | 0.134612i | ||||
\(133\) | −7.15958 | + | 7.84911i | −0.620815 | + | 0.680604i | ||||
\(134\) | 0.657950 | + | 2.24077i | 0.0568382 | + | 0.193573i | ||||
\(135\) | −3.38340 | − | 1.54515i | −0.291197 | − | 0.132985i | ||||
\(136\) | 0.0635792 | + | 0.442203i | 0.00545187 | + | 0.0379186i | ||||
\(137\) | 11.3000i | 0.965421i | 0.875780 | + | 0.482710i | \(0.160348\pi\) | ||||
−0.875780 | + | 0.482710i | \(0.839652\pi\) | |||||||
\(138\) | 3.23485 | + | 3.54058i | 0.275369 | + | 0.301395i | ||||
\(139\) | 14.7403i | 1.25026i | 0.780521 | + | 0.625129i | \(0.214954\pi\) | ||||
−0.780521 | + | 0.625129i | \(0.785046\pi\) | |||||||
\(140\) | −1.15179 | − | 9.77330i | −0.0973438 | − | 0.825995i | ||||
\(141\) | 2.35462 | − | 5.15591i | 0.198295 | − | 0.434206i | ||||
\(142\) | 3.68104 | − | 1.08085i | 0.308906 | − | 0.0907030i | ||||
\(143\) | −4.90411 | + | 5.65965i | −0.410103 | + | 0.473284i | ||||
\(144\) | 0.959493 | + | 0.281733i | 0.0799577 | + | 0.0234777i | ||||
\(145\) | −26.4931 | + | 17.0261i | −2.20013 | + | 1.41394i | ||||
\(146\) | −1.77586 | + | 0.811006i | −0.146971 | + | 0.0671194i | ||||
\(147\) | −5.51697 | + | 4.30849i | −0.455032 | + | 0.355358i | ||||
\(148\) | 4.12321 | − | 6.41585i | 0.338926 | − | 0.527379i | ||||
\(149\) | 19.4475 | + | 2.79613i | 1.59320 | + | 0.229068i | 0.881074 | − | 0.472978i | \(-0.156821\pi\) |
0.712131 | + | 0.702047i | \(0.247730\pi\) | |||||||
\(150\) | −8.74494 | − | 1.25733i | −0.714021 | − | 0.102661i | ||||
\(151\) | −9.31258 | − | 5.98483i | −0.757847 | − | 0.487039i | 0.103768 | − | 0.994602i | \(-0.466910\pi\) |
−0.861615 | + | 0.507563i | \(0.830546\pi\) | |||||||
\(152\) | −2.62958 | − | 3.03469i | −0.213287 | − | 0.246146i | ||||
\(153\) | −0.185587 | − | 0.406379i | −0.0150038 | − | 0.0328538i | ||||
\(154\) | 7.53825 | + | 12.4145i | 0.607450 | + | 1.00039i | ||||
\(155\) | −7.53220 | + | 25.6523i | −0.605001 | + | 2.06044i | ||||
\(156\) | 0.893359 | − | 1.03099i | 0.0715260 | − | 0.0825454i | ||||
\(157\) | 14.7645 | − | 4.33524i | 1.17833 | − | 0.345990i | 0.366803 | − | 0.930299i | \(-0.380452\pi\) |
0.811532 | + | 0.584309i | \(0.198634\pi\) | |||||||
\(158\) | −8.30746 | − | 3.79389i | −0.660906 | − | 0.301826i | ||||
\(159\) | 1.09256 | + | 7.59895i | 0.0866459 | + | 0.602636i | ||||
\(160\) | 3.71952 | 0.294054 | ||||||||
\(161\) | −0.0103599 | − | 12.6886i | −0.000816476 | − | 1.00000i | ||||
\(162\) | −1.00000 | −0.0785674 | ||||||||
\(163\) | 0.556023 | + | 3.86722i | 0.0435511 | + | 0.302904i | 0.999942 | + | 0.0108132i | \(0.00344200\pi\) |
−0.956390 | + | 0.292091i | \(0.905649\pi\) | |||||||
\(164\) | 6.02724 | + | 2.75255i | 0.470648 | + | 0.214938i | ||||
\(165\) | 19.5913 | − | 5.75253i | 1.52518 | − | 0.447834i | ||||
\(166\) | 7.99401 | − | 9.22557i | 0.620455 | − | 0.716043i | ||||
\(167\) | 3.72568 | − | 12.6885i | 0.288301 | − | 0.981865i | −0.680235 | − | 0.732994i | \(-0.738122\pi\) |
0.968537 | − | 0.248871i | \(-0.0800594\pi\) | |||||||
\(168\) | −1.37321 | − | 2.26148i | −0.105945 | − | 0.174477i | ||||
\(169\) | 4.62729 | + | 10.1324i | 0.355946 | + | 0.779412i | ||||
\(170\) | −1.08818 | − | 1.25583i | −0.0834597 | − | 0.0963177i | ||||
\(171\) | 3.37803 | + | 2.17093i | 0.258325 | + | 0.166015i | ||||
\(172\) | −0.495009 | − | 0.0711716i | −0.0377441 | − | 0.00542678i | ||||
\(173\) | 8.81222 | + | 1.26701i | 0.669981 | + | 0.0963287i | 0.468907 | − | 0.883248i | \(-0.344648\pi\) |
0.201073 | + | 0.979576i | \(0.435557\pi\) | |||||||
\(174\) | −4.57748 | + | 7.12270i | −0.347018 | + | 0.539971i | ||||
\(175\) | 14.8520 | + | 18.0499i | 1.12271 | + | 1.36445i | ||||
\(176\) | −4.99344 | + | 2.28043i | −0.376395 | + | 0.171894i | ||||
\(177\) | −5.77755 | + | 3.71300i | −0.434267 | + | 0.279086i | ||||
\(178\) | −3.37627 | − | 0.991363i | −0.253062 | − | 0.0743058i | ||||
\(179\) | 9.77926 | − | 11.2859i | 0.730936 | − | 0.843545i | −0.261641 | − | 0.965165i | \(-0.584264\pi\) |
0.992577 | + | 0.121620i | \(0.0388090\pi\) | |||||||
\(180\) | −3.56886 | + | 1.04791i | −0.266007 | + | 0.0781067i | ||||
\(181\) | −9.44569 | + | 20.6832i | −0.702093 | + | 1.53737i | 0.135323 | + | 0.990802i | \(0.456793\pi\) |
−0.837415 | + | 0.546567i | \(0.815934\pi\) | |||||||
\(182\) | −3.58452 | + | 0.422437i | −0.265702 | + | 0.0313131i | ||||
\(183\) | 2.44472i | 0.180719i | ||||||||
\(184\) | 4.76333 | + | 0.557417i | 0.351157 | + | 0.0410933i | ||||
\(185\) | 28.3671i | 2.08559i | ||||||||
\(186\) | 1.02293 | + | 7.11466i | 0.0750051 | + | 0.521672i | ||||
\(187\) | 2.23082 | + | 1.01878i | 0.163134 | + | 0.0745008i | ||||
\(188\) | −1.59690 | − | 5.43853i | −0.116466 | − | 0.396645i | ||||
\(189\) | 1.95472 | + | 1.78300i | 0.142185 | + | 0.129694i | ||||
\(190\) | 14.3307 | + | 4.20786i | 1.03965 | + | 0.305270i | ||||
\(191\) | −0.607617 | − | 0.945470i | −0.0439656 | − | 0.0684118i | 0.818575 | − | 0.574400i | \(-0.194764\pi\) |
−0.862541 | + | 0.505988i | \(0.831128\pi\) | |||||||
\(192\) | 0.909632 | − | 0.415415i | 0.0656470 | − | 0.0299800i | ||||
\(193\) | −6.29560 | − | 7.26551i | −0.453167 | − | 0.522983i | 0.482486 | − | 0.875904i | \(-0.339734\pi\) |
−0.935653 | + | 0.352921i | \(0.885189\pi\) | |||||||
\(194\) | 8.89420 | + | 5.71596i | 0.638566 | + | 0.410382i | ||||
\(195\) | −0.722129 | + | 5.02252i | −0.0517127 | + | 0.359670i | ||||
\(196\) | −1.34799 | + | 6.86898i | −0.0962850 | + | 0.490642i | ||||
\(197\) | 9.61934 | + | 6.18198i | 0.685350 | + | 0.440448i | 0.836430 | − | 0.548074i | \(-0.184639\pi\) |
−0.151080 | + | 0.988522i | \(0.548275\pi\) | |||||||
\(198\) | 4.14870 | − | 3.59487i | 0.294835 | − | 0.255476i | ||||
\(199\) | −4.15466 | − | 9.09743i | −0.294516 | − | 0.644900i | 0.703304 | − | 0.710889i | \(-0.251707\pi\) |
−0.997820 | + | 0.0659889i | \(0.978980\pi\) | |||||||
\(200\) | −7.43236 | + | 4.77649i | −0.525547 | + | 0.337749i | ||||
\(201\) | −2.24077 | − | 0.657950i | −0.158052 | − | 0.0464082i | ||||
\(202\) | 6.82169 | + | 5.91103i | 0.479972 | + | 0.415898i | ||||
\(203\) | 21.6475 | − | 5.76122i | 1.51935 | − | 0.404358i | ||||
\(204\) | −0.406379 | − | 0.185587i | −0.0284522 | − | 0.0129937i | ||||
\(205\) | −24.3948 | + | 3.50744i | −1.70381 | + | 0.244970i | ||||
\(206\) | 16.5281 | 1.15157 | ||||||||
\(207\) | −4.72742 | + | 0.807147i | −0.328579 | + | 0.0561006i | ||||
\(208\) | − | 1.36420i | − | 0.0945901i | ||||||
\(209\) | −21.8187 | + | 3.13705i | −1.50923 | + | 0.216994i | ||||
\(210\) | 8.84453 | + | 4.31490i | 0.610330 | + | 0.297756i | ||||
\(211\) | −14.9472 | + | 4.38889i | −1.02901 | + | 0.302144i | −0.752307 | − | 0.658812i | \(-0.771059\pi\) |
−0.276700 | + | 0.960956i | \(0.589241\pi\) | |||||||
\(212\) | 5.80196 | + | 5.02742i | 0.398480 | + | 0.345285i | ||||
\(213\) | −1.08085 | + | 3.68104i | −0.0740587 | + | 0.252221i | ||||
\(214\) | 6.69688 | + | 10.4205i | 0.457789 | + | 0.712334i | ||||
\(215\) | 1.69204 | − | 0.772727i | 0.115396 | − | 0.0526995i | ||||
\(216\) | −0.755750 | + | 0.654861i | −0.0514222 | + | 0.0445576i | ||||
\(217\) | 10.6859 | − | 15.7310i | 0.725405 | − | 1.06789i | ||||
\(218\) | −7.63543 | − | 1.09781i | −0.517137 | − | 0.0743530i | ||||
\(219\) | 0.277838 | − | 1.93241i | 0.0187746 | − | 0.130580i | ||||
\(220\) | 11.0390 | − | 17.1771i | 0.744251 | − | 1.15808i | ||||
\(221\) | −0.460596 | + | 0.399109i | −0.0309830 | + | 0.0268470i | ||||
\(222\) | 3.16818 | + | 6.93734i | 0.212634 | + | 0.465604i | ||||
\(223\) | −9.29228 | − | 14.4591i | −0.622257 | − | 0.968251i | −0.999118 | − | 0.0419815i | \(-0.986633\pi\) |
0.376861 | − | 0.926270i | \(-0.377003\pi\) | |||||||
\(224\) | −2.51876 | − | 0.809854i | −0.168292 | − | 0.0541107i | ||||
\(225\) | 5.78561 | − | 6.67694i | 0.385707 | − | 0.445130i | ||||
\(226\) | −4.52862 | − | 15.4231i | −0.301239 | − | 1.02593i | ||||
\(227\) | −3.50781 | + | 7.68103i | −0.232822 | + | 0.509808i | −0.989597 | − | 0.143867i | \(-0.954046\pi\) |
0.756775 | + | 0.653675i | \(0.226774\pi\) | |||||||
\(228\) | 3.97460 | − | 0.571461i | 0.263224 | − | 0.0378460i | ||||
\(229\) | 5.56911 | 0.368017 | 0.184009 | − | 0.982925i | \(-0.441093\pi\) | ||||
0.184009 | + | 0.982925i | \(0.441093\pi\) | |||||||
\(230\) | −16.0257 | + | 7.83451i | −1.05670 | + | 0.516592i | ||||
\(231\) | −14.5192 | − | 0.370180i | −0.955292 | − | 0.0243560i | ||||
\(232\) | 1.20495 | + | 8.38060i | 0.0791087 | + | 0.550213i | ||||
\(233\) | 6.10801 | − | 13.3747i | 0.400149 | − | 0.876204i | −0.597106 | − | 0.802162i | \(-0.703683\pi\) |
0.997255 | − | 0.0740419i | \(-0.0235899\pi\) | |||||||
\(234\) | 0.384339 | + | 1.30894i | 0.0251250 | + | 0.0855679i | ||||
\(235\) | 15.9333 | + | 13.8063i | 1.03937 | + | 0.900621i | ||||
\(236\) | −1.93488 | + | 6.58959i | −0.125950 | + | 0.428946i | ||||
\(237\) | 7.68297 | − | 4.93755i | 0.499063 | − | 0.320728i | ||||
\(238\) | 0.463453 | + | 1.08734i | 0.0300412 | + | 0.0704819i | ||||
\(239\) | 19.3013 | + | 22.2749i | 1.24850 | + | 1.44085i | 0.852610 | + | 0.522548i | \(0.175019\pi\) |
0.395890 | + | 0.918298i | \(0.370436\pi\) | |||||||
\(240\) | −2.01093 | + | 3.12906i | −0.129805 | + | 0.201980i | ||||
\(241\) | −3.73370 | + | 25.9684i | −0.240509 | + | 1.67277i | 0.409088 | + | 0.912495i | \(0.365847\pi\) |
−0.649597 | + | 0.760279i | \(0.725062\pi\) | |||||||
\(242\) | −2.72317 | + | 18.9401i | −0.175052 | + | 1.21751i | ||||
\(243\) | 0.540641 | − | 0.841254i | 0.0346821 | − | 0.0539664i | ||||
\(244\) | 1.60095 | + | 1.84759i | 0.102490 | + | 0.118280i | ||||
\(245\) | −9.59508 | − | 24.2042i | −0.613007 | − | 1.54635i | ||||
\(246\) | −5.57416 | + | 3.58230i | −0.355396 | + | 0.228399i | ||||
\(247\) | 1.54330 | − | 5.25600i | 0.0981980 | − | 0.334432i | ||||
\(248\) | 5.43219 | + | 4.70702i | 0.344945 | + | 0.298896i | ||||
\(249\) | 3.43916 | + | 11.7127i | 0.217948 | + | 0.742263i | ||||
\(250\) | 5.92543 | − | 12.9749i | 0.374757 | − | 0.820603i | ||||
\(251\) | −1.71200 | − | 11.9072i | −0.108061 | − | 0.751578i | −0.969743 | − | 0.244129i | \(-0.921498\pi\) |
0.861682 | − | 0.507448i | \(-0.169411\pi\) | |||||||
\(252\) | 2.64489 | + | 0.0674339i | 0.166613 | + | 0.00424794i | ||||
\(253\) | 16.7111 | − | 20.3431i | 1.05062 | − | 1.27896i | ||||
\(254\) | −9.66771 | −0.606606 | ||||||||
\(255\) | 1.64479 | − | 0.236484i | 0.103000 | − | 0.0148092i | ||||
\(256\) | 0.415415 | − | 0.909632i | 0.0259634 | − | 0.0568520i | ||||
\(257\) | 1.95820 | + | 6.66903i | 0.122149 | + | 0.416003i | 0.997751 | − | 0.0670315i | \(-0.0213528\pi\) |
−0.875601 | + | 0.483034i | \(0.839535\pi\) | |||||||
\(258\) | 0.327495 | − | 0.377950i | 0.0203890 | − | 0.0235301i | ||||
\(259\) | 6.17638 | − | 19.2094i | 0.383782 | − | 1.19361i | ||||
\(260\) | 2.74330 | + | 4.26866i | 0.170132 | + | 0.264731i | ||||
\(261\) | −3.51723 | − | 7.70165i | −0.217711 | − | 0.476720i | ||||
\(262\) | 10.7141 | − | 9.28383i | 0.661920 | − | 0.573557i | ||||
\(263\) | −11.0172 | + | 17.1431i | −0.679350 | + | 1.05709i | 0.314809 | + | 0.949155i | \(0.398060\pi\) |
−0.994158 | + | 0.107933i | \(0.965577\pi\) | |||||||
\(264\) | 0.781240 | − | 5.43364i | 0.0480820 | − | 0.334418i | ||||
\(265\) | −28.2645 | − | 4.06382i | −1.73627 | − | 0.249638i | ||||
\(266\) | −8.78813 | − | 5.96967i | −0.538835 | − | 0.366024i | ||||
\(267\) | 2.65934 | − | 2.30433i | 0.162749 | − | 0.141023i | ||||
\(268\) | −2.12433 | + | 0.970148i | −0.129764 | + | 0.0592612i | ||||
\(269\) | −13.8744 | − | 21.5890i | −0.845938 | − | 1.31631i | −0.946937 | − | 0.321419i | \(-0.895840\pi\) |
0.100999 | − | 0.994887i | \(-0.467796\pi\) | |||||||
\(270\) | 1.04791 | − | 3.56886i | 0.0637738 | − | 0.217194i | ||||
\(271\) | −16.9216 | − | 14.6626i | −1.02791 | − | 0.890691i | −0.0338413 | − | 0.999427i | \(-0.510774\pi\) |
−0.994071 | + | 0.108736i | \(0.965320\pi\) | |||||||
\(272\) | −0.428654 | + | 0.125864i | −0.0259910 | + | 0.00763164i | ||||
\(273\) | 1.58256 | − | 3.24388i | 0.0957810 | − | 0.196328i | ||||
\(274\) | −11.1849 | + | 1.60815i | −0.675707 | + | 0.0971520i | ||||
\(275\) | 48.4992i | 2.92461i | ||||||||
\(276\) | −3.04418 | + | 3.70580i | −0.183238 | + | 0.223063i | ||||
\(277\) | 16.5710 | 0.995653 | 0.497826 | − | 0.867277i | \(-0.334132\pi\) | ||||
0.497826 | + | 0.867277i | \(0.334132\pi\) | |||||||
\(278\) | −14.5903 | + | 2.09777i | −0.875068 | + | 0.125816i | ||||
\(279\) | −6.53827 | − | 2.98593i | −0.391436 | − | 0.178763i | ||||
\(280\) | 9.50991 | − | 2.53095i | 0.568326 | − | 0.151253i | ||||
\(281\) | −7.68112 | − | 6.65573i | −0.458217 | − | 0.397048i | 0.394935 | − | 0.918709i | \(-0.370767\pi\) |
−0.853153 | + | 0.521661i | \(0.825312\pi\) | |||||||
\(282\) | 5.43853 | + | 1.59690i | 0.323860 | + | 0.0950937i | ||||
\(283\) | 23.1700 | − | 14.8905i | 1.37732 | − | 0.885147i | 0.378141 | − | 0.925748i | \(-0.376564\pi\) |
0.999175 | + | 0.0406007i | \(0.0129272\pi\) | |||||||
\(284\) | 1.59372 | + | 3.48975i | 0.0945697 | + | 0.207079i | ||||
\(285\) | −11.2876 | + | 9.78077i | −0.668620 | + | 0.579363i | ||||
\(286\) | −6.29997 | − | 4.04875i | −0.372525 | − | 0.239407i | ||||
\(287\) | 17.2831 | + | 2.93635i | 1.02019 | + | 0.173327i | ||||
\(288\) | −0.142315 | + | 0.989821i | −0.00838598 | + | 0.0583258i | ||||
\(289\) | −14.1334 | − | 9.08299i | −0.831377 | − | 0.534294i | ||||
\(290\) | −20.6231 | − | 23.8004i | −1.21103 | − | 1.39760i | ||||
\(291\) | −9.61714 | + | 4.39200i | −0.563766 | + | 0.257464i | ||||
\(292\) | −1.05548 | − | 1.64236i | −0.0617674 | − | 0.0961120i | ||||
\(293\) | 7.05521 | + | 2.07160i | 0.412170 | + | 0.121024i | 0.481242 | − | 0.876588i | \(-0.340186\pi\) |
−0.0690723 | + | 0.997612i | \(0.522004\pi\) | |||||||
\(294\) | −5.04978 | − | 4.84765i | −0.294509 | − | 0.282721i | ||||
\(295\) | −7.19683 | − | 24.5101i | −0.419015 | − | 1.42704i | ||||
\(296\) | 6.93734 | + | 3.16818i | 0.403225 | + | 0.184146i | ||||
\(297\) | 0.781240 | + | 5.43364i | 0.0453322 | + | 0.315292i | ||||
\(298\) | 19.6475i | 1.13815i | ||||||||
\(299\) | 2.87344 | + | 5.87768i | 0.166175 | + | 0.339915i | ||||
\(300\) | − | 8.83486i | − | 0.510081i | ||||||
\(301\) | −1.31404 | + | 0.154861i | −0.0757403 | + | 0.00892602i | ||||
\(302\) | 4.59860 | − | 10.0695i | 0.264619 | − | 0.579436i | ||||
\(303\) | −8.66076 | + | 2.54303i | −0.497547 | + | 0.146093i | ||||
\(304\) | 2.62958 | − | 3.03469i | 0.150817 | − | 0.174052i | ||||
\(305\) | −8.72485 | − | 2.56185i | −0.499583 | − | 0.146691i | ||||
\(306\) | 0.375830 | − | 0.241532i | 0.0214848 | − | 0.0138074i | ||||
\(307\) | 15.3008 | − | 6.98764i | 0.873262 | − | 0.398805i | 0.0722025 | − | 0.997390i | \(-0.476997\pi\) |
0.801060 | + | 0.598585i | \(0.204270\pi\) | |||||||
\(308\) | −11.2153 | + | 9.22828i | −0.639050 | + | 0.525830i | ||||
\(309\) | −8.93577 | + | 13.9043i | −0.508338 | + | 0.790990i | ||||
\(310\) | −26.4632 | − | 3.80483i | −1.50301 | − | 0.216100i | ||||
\(311\) | −7.84507 | − | 1.12795i | −0.444853 | − | 0.0639602i | −0.0837515 | − | 0.996487i | \(-0.526690\pi\) |
−0.361102 | + | 0.932526i | \(0.617599\pi\) | |||||||
\(312\) | 1.14764 | + | 0.737541i | 0.0649721 | + | 0.0417550i | ||||
\(313\) | −3.63379 | − | 4.19362i | −0.205394 | − | 0.237037i | 0.643702 | − | 0.765277i | \(-0.277398\pi\) |
−0.849095 | + | 0.528239i | \(0.822852\pi\) | |||||||
\(314\) | 6.39232 | + | 13.9972i | 0.360740 | + | 0.789910i | ||||
\(315\) | −8.41164 | + | 5.10768i | −0.473942 | + | 0.287785i | ||||
\(316\) | 2.57300 | − | 8.76283i | 0.144742 | − | 0.492948i | ||||
\(317\) | 13.6370 | − | 15.7379i | 0.765928 | − | 0.883928i | −0.230082 | − | 0.973171i | \(-0.573899\pi\) |
0.996010 | + | 0.0892431i | \(0.0284448\pi\) | |||||||
\(318\) | −7.36611 | + | 2.16289i | −0.413071 | + | 0.121289i | ||||
\(319\) | 42.2784 | + | 19.3079i | 2.36713 | + | 1.08103i | ||||
\(320\) | 0.529344 | + | 3.68167i | 0.0295912 | + | 0.205811i | ||||
\(321\) | −12.3869 | −0.691371 | ||||||||
\(322\) | 12.5579 | − | 1.81603i | 0.699827 | − | 0.101203i | ||||
\(323\) | −1.79391 | −0.0998161 | ||||||||
\(324\) | −0.142315 | − | 0.989821i | −0.00790638 | − | 0.0549901i | ||||
\(325\) | −10.9633 | − | 5.00679i | −0.608137 | − | 0.277727i | ||||
\(326\) | −3.74873 | + | 1.10073i | −0.207623 | + | 0.0609636i | ||||
\(327\) | 5.05156 | − | 5.82981i | 0.279352 | − | 0.322389i | ||||
\(328\) | −1.86677 | + | 6.35762i | −0.103075 | + | 0.351041i | ||||
\(329\) | −7.78351 | − | 12.8184i | −0.429119 | − | 0.706699i | ||||
\(330\) | 8.48211 | + | 18.5732i | 0.466925 | + | 1.02242i | ||||
\(331\) | −9.82778 | − | 11.3419i | −0.540183 | − | 0.623405i | 0.418384 | − | 0.908270i | \(-0.362597\pi\) |
−0.958568 | + | 0.284865i | \(0.908051\pi\) | |||||||
\(332\) | 10.2693 | + | 6.59970i | 0.563603 | + | 0.362206i | ||||
\(333\) | −7.54891 | − | 1.08537i | −0.413677 | − | 0.0594778i | ||||
\(334\) | 13.0896 | + | 1.88199i | 0.716229 | + | 0.102978i | ||||
\(335\) | 4.69626 | − | 7.30752i | 0.256584 | − | 0.399253i | ||||
\(336\) | 2.04304 | − | 1.68107i | 0.111457 | − | 0.0917100i | ||||
\(337\) | 1.39022 | − | 0.634893i | 0.0757302 | − | 0.0345848i | −0.377190 | − | 0.926136i | \(-0.623110\pi\) |
0.452920 | + | 0.891551i | \(0.350382\pi\) | |||||||
\(338\) | −9.37069 | + | 6.02218i | −0.509699 | + | 0.327563i | ||||
\(339\) | 15.4231 | + | 4.52862i | 0.837666 | + | 0.245961i | ||||
\(340\) | 1.08818 | − | 1.25583i | 0.0590149 | − | 0.0681069i | ||||
\(341\) | 37.8594 | − | 11.1165i | 2.05020 | − | 0.601993i | ||||
\(342\) | −1.66809 | + | 3.65260i | −0.0901999 | + | 0.197510i | ||||
\(343\) | 1.22752 | + | 18.4795i | 0.0662799 | + | 0.997801i | ||||
\(344\) | − | 0.500099i | − | 0.0269636i | ||||||
\(345\) | 2.07333 | − | 17.7173i | 0.111624 | − | 0.953868i | ||||
\(346\) | 8.90284i | 0.478619i | ||||||||
\(347\) | −3.91988 | − | 27.2634i | −0.210430 | − | 1.46358i | −0.771723 | − | 0.635958i | \(-0.780605\pi\) |
0.561293 | − | 0.827617i | \(-0.310304\pi\) | |||||||
\(348\) | −7.70165 | − | 3.51723i | −0.412852 | − | 0.188543i | ||||
\(349\) | 1.22193 | + | 4.16151i | 0.0654084 | + | 0.222761i | 0.985711 | − | 0.168448i | \(-0.0538754\pi\) |
−0.920302 | + | 0.391208i | \(0.872057\pi\) | |||||||
\(350\) | −15.7526 | + | 17.2696i | −0.842009 | + | 0.923102i | ||||
\(351\) | −1.30894 | − | 0.384339i | −0.0698659 | − | 0.0205145i | ||||
\(352\) | −2.96786 | − | 4.61808i | −0.158187 | − | 0.246144i | ||||
\(353\) | 11.8587 | − | 5.41571i | 0.631177 | − | 0.288249i | −0.0740236 | − | 0.997256i | \(-0.523584\pi\) |
0.705201 | + | 0.709007i | \(0.250857\pi\) | |||||||
\(354\) | −4.49744 | − | 5.19032i | −0.239036 | − | 0.275863i | ||||
\(355\) | −12.0045 | − | 7.71481i | −0.637132 | − | 0.409460i | ||||
\(356\) | 0.500779 | − | 3.48299i | 0.0265412 | − | 0.184598i | ||||
\(357\) | −1.16529 | − | 0.197980i | −0.0616738 | − | 0.0104782i | ||||
\(358\) | 12.5627 | + | 8.07357i | 0.663961 | + | 0.426702i | ||||
\(359\) | −3.52808 | + | 3.05710i | −0.186205 | + | 0.161348i | −0.742975 | − | 0.669319i | \(-0.766586\pi\) |
0.556770 | + | 0.830667i | \(0.312040\pi\) | |||||||
\(360\) | −1.54515 | − | 3.38340i | −0.0814364 | − | 0.178321i | ||||
\(361\) | −2.41942 | + | 1.55487i | −0.127338 | + | 0.0818352i | ||||
\(362\) | −21.8169 | − | 6.40602i | −1.14667 | − | 0.336693i | ||||
\(363\) | −14.4611 | − | 12.5307i | −0.759013 | − | 0.657689i | ||||
\(364\) | −0.928268 | − | 3.48792i | −0.0486545 | − | 0.182816i | ||||
\(365\) | 6.60534 | + | 3.01656i | 0.345739 | + | 0.157894i | ||||
\(366\) | −2.41983 | + | 0.347920i | −0.126487 | + | 0.0181860i | ||||
\(367\) | 11.9056 | 0.621469 | 0.310734 | − | 0.950497i | \(-0.399425\pi\) | ||||
0.310734 | + | 0.950497i | \(0.399425\pi\) | |||||||
\(368\) | 0.126149 | + | 4.79417i | 0.00657595 | + | 0.249913i | ||||
\(369\) | − | 6.62602i | − | 0.344937i | ||||||
\(370\) | −28.0783 | + | 4.03706i | −1.45972 | + | 0.209877i | ||||
\(371\) | 18.2551 | + | 8.90594i | 0.947757 | + | 0.462374i | ||||
\(372\) | −6.89666 | + | 2.02504i | −0.357575 | + | 0.104994i | ||||
\(373\) | 11.7110 | + | 10.1476i | 0.606372 | + | 0.525425i | 0.903040 | − | 0.429556i | \(-0.141330\pi\) |
−0.296668 | + | 0.954981i | \(0.595875\pi\) | |||||||
\(374\) | −0.690934 | + | 2.35310i | −0.0357273 | + | 0.121676i | ||||
\(375\) | 7.71163 | + | 11.9995i | 0.398227 | + | 0.619653i | ||||
\(376\) | 5.15591 | − | 2.35462i | 0.265896 | − | 0.121430i | ||||
\(377\) | −8.72917 | + | 7.56387i | −0.449575 | + | 0.389559i | ||||
\(378\) | −1.48667 | + | 2.18857i | −0.0764658 | + | 0.112568i | ||||
\(379\) | −5.96227 | − | 0.857245i | −0.306261 | − | 0.0440337i | −0.0125292 | − | 0.999922i | \(-0.503988\pi\) |
−0.293732 | + | 0.955888i | \(0.594897\pi\) | |||||||
\(380\) | −2.12556 | + | 14.7836i | −0.109039 | + | 0.758384i | ||||
\(381\) | 5.22676 | − | 8.13299i | 0.267775 | − | 0.416666i | ||||
\(382\) | 0.849373 | − | 0.735986i | 0.0434577 | − | 0.0376563i | ||||
\(383\) | 5.46180 | + | 11.9597i | 0.279085 | + | 0.611111i | 0.996319 | − | 0.0857213i | \(-0.0273195\pi\) |
−0.717234 | + | 0.696832i | \(0.754592\pi\) | |||||||
\(384\) | 0.540641 | + | 0.841254i | 0.0275895 | + | 0.0429300i | ||||
\(385\) | 16.5359 | − | 51.4290i | 0.842749 | − | 2.62106i | ||||
\(386\) | 6.29560 | − | 7.26551i | 0.320438 | − | 0.369805i | ||||
\(387\) | 0.140894 | + | 0.479842i | 0.00716206 | + | 0.0243917i | ||||
\(388\) | −4.39200 | + | 9.61714i | −0.222970 | + | 0.488236i | ||||
\(389\) | −34.6193 | + | 4.97750i | −1.75527 | + | 0.252369i | −0.943443 | − | 0.331534i | \(-0.892434\pi\) |
−0.811823 | + | 0.583904i | \(0.801525\pi\) | |||||||
\(390\) | −5.07417 | −0.256940 | ||||||||
\(391\) | 1.58176 | − | 1.44517i | 0.0799929 | − | 0.0730855i | ||||
\(392\) | −6.99091 | − | 0.356711i | −0.353094 | − | 0.0180166i | ||||
\(393\) | 2.01757 | + | 14.0325i | 0.101773 | + | 0.707846i | ||||
\(394\) | −4.75008 | + | 10.4012i | −0.239305 | + | 0.524006i | ||||
\(395\) | 9.57033 | + | 32.5936i | 0.481536 | + | 1.63996i | ||||
\(396\) | 4.14870 | + | 3.59487i | 0.208480 | + | 0.180649i | ||||
\(397\) | −4.82102 | + | 16.4189i | −0.241960 | + | 0.824039i | 0.745546 | + | 0.666455i | \(0.232189\pi\) |
−0.987505 | + | 0.157585i | \(0.949629\pi\) | |||||||
\(398\) | 8.41357 | − | 5.40707i | 0.421734 | − | 0.271032i | ||||
\(399\) | 9.77323 | − | 4.16560i | 0.489273 | − | 0.208541i | ||||
\(400\) | −5.78561 | − | 6.67694i | −0.289280 | − | 0.333847i | ||||
\(401\) | 18.2531 | − | 28.4023i | 0.911514 | − | 1.41834i | 0.00322726 | − | 0.999995i | \(-0.498973\pi\) |
0.908287 | − | 0.418348i | \(-0.137391\pi\) | |||||||
\(402\) | 0.332358 | − | 2.31160i | 0.0165765 | − | 0.115292i | ||||
\(403\) | −1.39548 | + | 9.70580i | −0.0695140 | + | 0.483480i | ||||
\(404\) | −4.88003 | + | 7.59348i | −0.242791 | + | 0.377790i | ||||
\(405\) | 2.43577 | + | 2.81103i | 0.121034 | + | 0.139681i | ||||
\(406\) | 8.78333 | + | 20.6072i | 0.435909 | + | 1.02272i | ||||
\(407\) | 35.2199 | − | 22.6345i | 1.74579 | − | 1.12195i | ||||
\(408\) | 0.125864 | − | 0.428654i | 0.00623120 | − | 0.0212215i | ||||
\(409\) | 6.31802 | + | 5.47460i | 0.312406 | + | 0.270701i | 0.796923 | − | 0.604080i | \(-0.206459\pi\) |
−0.484518 | + | 0.874782i | \(0.661005\pi\) | |||||||
\(410\) | −6.94348 | − | 23.6473i | −0.342914 | − | 1.16786i | ||||
\(411\) | 4.69417 | − | 10.2788i | 0.231546 | − | 0.507016i | ||||
\(412\) | 2.35220 | + | 16.3599i | 0.115884 | + | 0.805993i | ||||
\(413\) | −0.463121 | + | 18.1645i | −0.0227887 | + | 0.893819i | ||||
\(414\) | −1.47171 | − | 4.56443i | −0.0723308 | − | 0.224330i | ||||
\(415\) | −45.4049 | −2.22884 | ||||||||
\(416\) | 1.35031 | − | 0.194146i | 0.0662045 | − | 0.00951877i | ||||
\(417\) | 6.12336 | − | 13.4083i | 0.299862 | − | 0.656606i | ||||
\(418\) | −6.21024 | − | 21.1501i | −0.303753 | − | 1.03449i | ||||
\(419\) | −18.1336 | + | 20.9272i | −0.885882 | + | 1.02236i | 0.113702 | + | 0.993515i | \(0.463729\pi\) |
−0.999584 | + | 0.0288476i | \(0.990816\pi\) | |||||||
\(420\) | −3.01227 | + | 9.36858i | −0.146984 | + | 0.457140i | ||||
\(421\) | 6.13237 | + | 9.54216i | 0.298874 | + | 0.465056i | 0.957916 | − | 0.287050i | \(-0.0926745\pi\) |
−0.659042 | + | 0.752106i | \(0.729038\pi\) | |||||||
\(422\) | −6.47143 | − | 14.1705i | −0.315024 | − | 0.689807i | ||||
\(423\) | −4.28368 | + | 3.71183i | −0.208280 | + | 0.180475i | ||||
\(424\) | −4.15055 | + | 6.45838i | −0.201568 | + | 0.313647i | ||||
\(425\) | −0.561714 | + | 3.90680i | −0.0272471 | + | 0.189508i | ||||
\(426\) | −3.79740 | − | 0.545983i | −0.183984 | − | 0.0264530i | ||||
\(427\) | 5.35043 | + | 3.63448i | 0.258925 | + | 0.175885i | ||||
\(428\) | −9.36142 | + | 8.11171i | −0.452501 | + | 0.392095i | ||||
\(429\) | 6.81204 | − | 3.11096i | 0.328888 | − | 0.150198i | ||||
\(430\) | 1.00566 | + | 1.56484i | 0.0484974 | + | 0.0754634i | ||||
\(431\) | 3.12340 | − | 10.6373i | 0.150449 | − | 0.512382i | −0.849434 | − | 0.527695i | \(-0.823056\pi\) |
0.999883 | + | 0.0153134i | \(0.00487459\pi\) | |||||||
\(432\) | −0.755750 | − | 0.654861i | −0.0363610 | − | 0.0315070i | ||||
\(433\) | −1.10097 | + | 0.323275i | −0.0529094 | + | 0.0155356i | −0.308080 | − | 0.951360i | \(-0.599686\pi\) |
0.255171 | + | 0.966896i | \(0.417868\pi\) | |||||||
\(434\) | 17.0917 | + | 8.33836i | 0.820426 | + | 0.400254i | ||||
\(435\) | 31.1718 | − | 4.48183i | 1.49458 | − | 0.214887i | ||||
\(436\) | − | 7.71395i | − | 0.369431i | ||||||
\(437\) | −4.93757 | + | 18.6138i | −0.236196 | + | 0.890418i | ||||
\(438\) | 1.95228 | 0.0932835 | ||||||||
\(439\) | 30.8716 | − | 4.43866i | 1.47342 | − | 0.211846i | 0.641663 | − | 0.766986i | \(-0.278245\pi\) |
0.831757 | + | 0.555141i | \(0.187336\pi\) | |||||||
\(440\) | 18.5732 | + | 8.48211i | 0.885444 | + | 0.404369i | ||||
\(441\) | 6.80822 | − | 1.62730i | 0.324201 | − | 0.0774907i | ||||
\(442\) | −0.460596 | − | 0.399109i | −0.0219083 | − | 0.0189837i | ||||
\(443\) | −19.0098 | − | 5.58179i | −0.903184 | − | 0.265199i | −0.203015 | − | 0.979176i | \(-0.565074\pi\) |
−0.700169 | + | 0.713977i | \(0.746892\pi\) | |||||||
\(444\) | −6.41585 | + | 4.12321i | −0.304483 | + | 0.195679i | ||||
\(445\) | 5.43707 | + | 11.9055i | 0.257742 | + | 0.564376i | ||||
\(446\) | 12.9895 | − | 11.2554i | 0.615069 | − | 0.532961i | ||||
\(447\) | −16.5286 | − | 10.6223i | −0.781774 | − | 0.502415i | ||||
\(448\) | 0.443155 | − | 2.60837i | 0.0209371 | − | 0.123234i | ||||
\(449\) | 4.27213 | − | 29.7133i | 0.201614 | − | 1.40226i | −0.597880 | − | 0.801585i | \(-0.703990\pi\) |
0.799495 | − | 0.600673i | \(-0.205101\pi\) | |||||||
\(450\) | 7.43236 | + | 4.77649i | 0.350365 | + | 0.225166i | ||||
\(451\) | 23.8197 | + | 27.4894i | 1.12163 | + | 1.29442i | ||||
\(452\) | 14.6216 | − | 6.67746i | 0.687742 | − | 0.314081i | ||||
\(453\) | 5.98483 | + | 9.31258i | 0.281192 | + | 0.437543i | ||||
\(454\) | −8.10207 | − | 2.37898i | −0.380249 | − | 0.111651i | ||||
\(455\) | 9.91855 | + | 9.04723i | 0.464989 | + | 0.424141i | ||||
\(456\) | 1.13129 | + | 3.85282i | 0.0529775 | + | 0.180425i | ||||
\(457\) | 19.2780 | + | 8.80397i | 0.901787 | + | 0.411832i | 0.811682 | − | 0.584100i | \(-0.198552\pi\) |
0.0901052 | + | 0.995932i | \(0.471280\pi\) | |||||||
\(458\) | 0.792567 | + | 5.51242i | 0.0370342 | + | 0.257579i | ||||
\(459\) | 0.446750i | 0.0208525i | ||||||||
\(460\) | −10.0355 | − | 14.7476i | −0.467906 | − | 0.687610i | ||||
\(461\) | 2.68854i | 0.125218i | 0.998038 | + | 0.0626089i | \(0.0199421\pi\) | ||||
−0.998038 | + | 0.0626089i | \(0.980058\pi\) | |||||||
\(462\) | −1.69988 | − | 14.4241i | −0.0790858 | − | 0.671069i | ||||
\(463\) | −2.50588 | + | 5.48712i | −0.116458 | + | 0.255008i | −0.958881 | − | 0.283810i | \(-0.908402\pi\) |
0.842422 | + | 0.538818i | \(0.181129\pi\) | |||||||
\(464\) | −8.12381 | + | 2.38537i | −0.377138 | + | 0.110738i | ||||
\(465\) | 17.5079 | − | 20.2052i | 0.811909 | − | 0.936993i | ||||
\(466\) | 14.1078 | + | 4.14242i | 0.653531 | + | 0.191894i | ||||
\(467\) | −27.5182 | + | 17.6849i | −1.27339 | + | 0.818359i | −0.990058 | − | 0.140663i | \(-0.955077\pi\) |
−0.283334 | + | 0.959021i | \(0.591440\pi\) | |||||||
\(468\) | −1.24092 | + | 0.566708i | −0.0573614 | + | 0.0261961i | ||||
\(469\) | −4.77125 | + | 3.92593i | −0.220316 | + | 0.181283i | ||||
\(470\) | −11.3982 | + | 17.7359i | −0.525759 | + | 0.818097i | ||||
\(471\) | −15.2312 | − | 2.18991i | −0.701815 | − | 0.100906i | ||||
\(472\) | −6.79788 | − | 0.977387i | −0.312898 | − | 0.0449879i | ||||
\(473\) | −2.30950 | − | 1.48422i | −0.106191 | − | 0.0682447i | ||||
\(474\) | 5.98069 | + | 6.90209i | 0.274702 | + | 0.317023i | ||||
\(475\) | −14.7373 | − | 32.2703i | −0.676195 | − | 1.48066i | ||||
\(476\) | −1.01032 | + | 0.613481i | −0.0463079 | + | 0.0281189i | ||||
\(477\) | 2.16289 | − | 7.36611i | 0.0990318 | − | 0.337271i | ||||
\(478\) | −19.3013 | + | 22.2749i | −0.882823 | + | 1.01883i | ||||
\(479\) | −14.4245 | + | 4.23541i | −0.659071 | + | 0.193521i | −0.594131 | − | 0.804369i | \(-0.702504\pi\) |
−0.0649401 | + | 0.997889i | \(0.520686\pi\) | |||||||
\(480\) | −3.38340 | − | 1.54515i | −0.154430 | − | 0.0705260i | ||||
\(481\) | 1.48066 | + | 10.2982i | 0.0675122 | + | 0.469557i | ||||
\(482\) | −26.2355 | −1.19499 | ||||||||
\(483\) | −5.26160 | + | 11.5462i | −0.239411 | + | 0.525372i | ||||
\(484\) | −19.1348 | −0.869765 | ||||||||
\(485\) | −5.59651 | − | 38.9246i | −0.254125 | − | 1.76748i | ||||
\(486\) | 0.909632 | + | 0.415415i | 0.0412617 | + | 0.0188436i | ||||
\(487\) | 5.61860 | − | 1.64977i | 0.254603 | − | 0.0747582i | −0.151940 | − | 0.988390i | \(-0.548552\pi\) |
0.406543 | + | 0.913631i | \(0.366734\pi\) | |||||||
\(488\) | −1.60095 | + | 1.84759i | −0.0724716 | + | 0.0836367i | ||||
\(489\) | 1.10073 | − | 3.74873i | 0.0497766 | − | 0.169523i | ||||
\(490\) | 22.5923 | − | 12.9420i | 1.02062 | − | 0.584661i | ||||
\(491\) | −8.81747 | − | 19.3076i | −0.397927 | − | 0.871338i | −0.997476 | − | 0.0710004i | \(-0.977381\pi\) |
0.599550 | − | 0.800338i | \(-0.295346\pi\) | |||||||
\(492\) | −4.33912 | − | 5.00761i | −0.195623 | − | 0.225761i | ||||
\(493\) | 3.18207 | + | 2.04499i | 0.143313 | + | 0.0921019i | ||||
\(494\) | 5.42214 | + | 0.779586i | 0.243954 | + | 0.0350752i | ||||
\(495\) | −20.2106 | − | 2.90584i | −0.908398 | − | 0.130608i | ||||
\(496\) | −3.88603 | + | 6.04678i | −0.174488 | + | 0.271508i | ||||
\(497\) | 6.44934 | + | 7.83799i | 0.289293 | + | 0.351582i | ||||
\(498\) | −11.1040 | + | 5.07105i | −0.497584 | + | 0.227239i | ||||
\(499\) | −24.6250 | + | 15.8255i | −1.10236 | + | 0.708447i | −0.959616 | − | 0.281312i | \(-0.909230\pi\) |
−0.142748 | + | 0.989759i | \(0.545594\pi\) | |||||||
\(500\) | 13.6861 | + | 4.01860i | 0.612060 | + | 0.179717i | ||||
\(501\) | −8.65998 | + | 9.99415i | −0.386899 | + | 0.446506i | ||||
\(502\) | 11.5424 | − | 3.38915i | 0.515162 | − | 0.151265i | ||||
\(503\) | 16.1018 | − | 35.2580i | 0.717943 | − | 1.57208i | −0.0988212 | − | 0.995105i | \(-0.531507\pi\) |
0.816764 | − | 0.576971i | \(-0.195766\pi\) | |||||||
\(504\) | 0.309660 | + | 2.62757i | 0.0137933 | + | 0.117041i | ||||
\(505\) | − | 33.5739i | − | 1.49402i | ||||||
\(506\) | 22.5143 | + | 13.6459i | 1.00088 | + | 0.606633i | ||||
\(507\) | − | 11.1390i | − | 0.494699i | ||||||
\(508\) | −1.37586 | − | 9.56930i | −0.0610438 | − | 0.424569i | ||||
\(509\) | −15.2732 | − | 6.97502i | −0.676971 | − | 0.309162i | 0.0470975 | − | 0.998890i | \(-0.485003\pi\) |
−0.724069 | + | 0.689728i | \(0.757730\pi\) | |||||||
\(510\) | 0.468155 | + | 1.59439i | 0.0207302 | + | 0.0706007i | ||||
\(511\) | −3.81615 | − | 3.48091i | −0.168817 | − | 0.153987i | ||||
\(512\) | 0.959493 | + | 0.281733i | 0.0424040 | + | 0.0124509i | ||||
\(513\) | −2.17093 | − | 3.37803i | −0.0958488 | − | 0.149144i | ||||
\(514\) | −6.32247 | + | 2.88738i | −0.278872 | + | 0.127357i | ||||
\(515\) | −40.2587 | − | 46.4610i | −1.77401 | − | 2.04732i | ||||
\(516\) | 0.420710 | + | 0.270374i | 0.0185207 | + | 0.0119026i | ||||
\(517\) | 4.42817 | − | 30.7986i | 0.194751 | − | 1.35452i | ||||
\(518\) | 19.8928 | + | 3.37973i | 0.874041 | + | 0.148497i | ||||
\(519\) | −7.48954 | − | 4.81324i | −0.328754 | − | 0.211278i | ||||
\(520\) | −3.83480 | + | 3.32287i | −0.168167 | + | 0.145718i | ||||
\(521\) | 0.541789 | + | 1.18635i | 0.0237362 | + | 0.0519750i | 0.921129 | − | 0.389258i | \(-0.127269\pi\) |
−0.897393 | + | 0.441233i | \(0.854541\pi\) | |||||||
\(522\) | 7.12270 | − | 4.57748i | 0.311752 | − | 0.200351i | ||||
\(523\) | −17.1629 | − | 5.03948i | −0.750481 | − | 0.220361i | −0.115946 | − | 0.993255i | \(-0.536990\pi\) |
−0.634535 | + | 0.772894i | \(0.718808\pi\) | |||||||
\(524\) | 10.7141 | + | 9.28383i | 0.468048 | + | 0.405566i | ||||
\(525\) | −6.01168 | − | 22.5886i | −0.262371 | − | 0.985846i | ||||
\(526\) | −18.5365 | − | 8.46534i | −0.808230 | − | 0.369106i | ||||
\(527\) | 3.17848 | − | 0.456996i | 0.138457 | − | 0.0199071i | ||||
\(528\) | 5.48952 | 0.238901 | ||||||||
\(529\) | −10.6416 | − | 20.3901i | −0.462677 | − | 0.886527i | ||||
\(530\) | − | 28.5551i | − | 1.24036i | ||||||
\(531\) | 6.79788 | − | 0.977387i | 0.295003 | − | 0.0424150i | ||||
\(532\) | 4.65822 | − | 9.54825i | 0.201960 | − | 0.413969i | ||||
\(533\) | −8.67305 | + | 2.54664i | −0.375671 | + | 0.110307i | ||||
\(534\) | 2.65934 | + | 2.30433i | 0.115081 | + | 0.0997181i | ||||
\(535\) | 12.9804 | − | 44.2072i | 0.561192 | − | 1.91124i | ||||
\(536\) | −1.26260 | − | 1.96464i | −0.0545359 | − | 0.0848595i | ||||
\(537\) | −13.5838 | + | 6.20353i | −0.586186 | + | 0.267702i | ||||
\(538\) | 19.3947 | − | 16.8056i | 0.836167 | − | 0.724542i | ||||
\(539\) | −22.3953 | + | 31.2259i | −0.964635 | + | 1.34499i | ||||
\(540\) | 3.68167 | + | 0.529344i | 0.158434 | + | 0.0227793i | ||||
\(541\) | 3.06234 | − | 21.2990i | 0.131660 | − | 0.915717i | −0.811730 | − | 0.584033i | \(-0.801474\pi\) |
0.943390 | − | 0.331684i | \(-0.107617\pi\) | |||||||
\(542\) | 12.1052 | − | 18.8360i | 0.519962 | − | 0.809077i | ||||
\(543\) | 17.1842 | − | 14.8902i | 0.737445 | − | 0.639000i | ||||
\(544\) | −0.185587 | − | 0.406379i | −0.00795697 | − | 0.0174233i | ||||
\(545\) | 15.5122 | + | 24.1374i | 0.664469 | + | 1.03393i | ||||
\(546\) | 3.43608 | + | 1.10480i | 0.147051 | + | 0.0472811i | ||||
\(547\) | 24.6438 | − | 28.4405i | 1.05369 | − | 1.21603i | 0.0779857 | − | 0.996954i | \(-0.475151\pi\) |
0.975708 | − | 0.219073i | \(-0.0703034\pi\) | |||||||
\(548\) | −3.18357 | − | 10.8422i | −0.135995 | − | 0.463157i | ||||
\(549\) | 1.01557 | − | 2.22379i | 0.0433436 | − | 0.0949092i | ||||
\(550\) | −48.0055 | + | 6.90215i | −2.04696 | + | 0.294309i | ||||
\(551\) | −33.9981 | −1.44837 | ||||||||
\(552\) | −4.10132 | − | 2.48580i | −0.174564 | − | 0.105803i | ||||
\(553\) | 0.615858 | − | 24.1552i | 0.0261890 | − | 1.02718i | ||||
\(554\) | 2.35829 | + | 16.4023i | 0.100194 | + | 0.696867i | ||||
\(555\) | 11.7841 | − | 25.8036i | 0.500208 | − | 1.09530i | ||||
\(556\) | −4.15283 | − | 14.1432i | −0.176119 | − | 0.599807i | ||||
\(557\) | −25.4566 | − | 22.0583i | −1.07863 | − | 0.934640i | −0.0805629 | − | 0.996750i | \(-0.525672\pi\) |
−0.998069 | + | 0.0621093i | \(0.980217\pi\) | |||||||
\(558\) | 2.02504 | − | 6.89666i | 0.0857269 | − | 0.291959i | ||||
\(559\) | 0.573932 | − | 0.368844i | 0.0242747 | − | 0.0156004i | ||||
\(560\) | 3.85859 | + | 9.05292i | 0.163055 | + | 0.382556i | ||||
\(561\) | −1.60601 | − | 1.85343i | −0.0678058 | − | 0.0782521i | ||||
\(562\) | 5.49485 | − | 8.55015i | 0.231786 | − | 0.360666i | ||||
\(563\) | −3.41619 | + | 23.7601i | −0.143975 | + | 1.00137i | 0.781863 | + | 0.623450i | \(0.214269\pi\) |
−0.925839 | + | 0.377919i | \(0.876640\pi\) | |||||||
\(564\) | −0.806658 | + | 5.61043i | −0.0339664 | + | 0.236242i | ||||
\(565\) | −32.3240 | + | 50.2971i | −1.35988 | + | 2.11602i | ||||
\(566\) | 18.0364 | + | 20.8151i | 0.758125 | + | 0.874923i | ||||
\(567\) | −1.03739 | − | 2.43389i | −0.0435662 | − | 0.102214i | ||||
\(568\) | −3.22742 | + | 2.07414i | −0.135420 | + | 0.0870289i | ||||
\(569\) | −9.67439 | + | 32.9480i | −0.405572 | + | 1.38125i | 0.463295 | + | 0.886204i | \(0.346667\pi\) |
−0.868867 | + | 0.495046i | \(0.835151\pi\) | |||||||
\(570\) | −11.2876 | − | 9.78077i | −0.472786 | − | 0.409671i | ||||
\(571\) | −0.703963 | − | 2.39748i | −0.0294599 | − | 0.100331i | 0.943451 | − | 0.331513i | \(-0.107559\pi\) |
−0.972911 | + | 0.231182i | \(0.925741\pi\) | |||||||
\(572\) | 3.11096 | − | 6.81204i | 0.130076 | − | 0.284826i | ||||
\(573\) | 0.159945 | + | 1.11244i | 0.00668180 | + | 0.0464730i | ||||
\(574\) | −0.446818 | + | 17.5251i | −0.0186498 | + | 0.731484i | ||||
\(575\) | 38.9912 | + | 16.5815i | 1.62605 | + | 0.691495i | ||||
\(576\) | −1.00000 | −0.0416667 | ||||||||
\(577\) | −31.1210 | + | 4.47453i | −1.29558 | + | 0.186277i | −0.755397 | − | 0.655267i | \(-0.772556\pi\) |
−0.540188 | + | 0.841544i | \(0.681647\pi\) | |||||||
\(578\) | 6.97914 | − | 15.2822i | 0.290294 | − | 0.635655i | ||||
\(579\) | 2.70848 | + | 9.22423i | 0.112561 | + | 0.383346i | ||||
\(580\) | 20.6231 | − | 23.8004i | 0.856329 | − | 0.988256i | ||||
\(581\) | 30.7469 | + | 9.88604i | 1.27560 | + | 0.410142i | ||||
\(582\) | −5.71596 | − | 8.89420i | −0.236934 | − | 0.368676i | ||||
\(583\) | 17.5071 | + | 38.3351i | 0.725068 | + | 1.58768i | ||||
\(584\) | 1.47543 | − | 1.27847i | 0.0610539 | − | 0.0529035i | ||||
\(585\) | 2.74330 | − | 4.26866i | 0.113422 | − | 0.176487i | ||||
\(586\) | −1.04645 | + | 7.27822i | −0.0432285 | + | 0.300661i | ||||
\(587\) | 14.2006 | + | 2.04173i | 0.586120 | + | 0.0842713i | 0.428994 | − | 0.903307i | \(-0.358868\pi\) |
0.157126 | + | 0.987579i | \(0.449777\pi\) | |||||||
\(588\) | 4.07965 | − | 5.68827i | 0.168242 | − | 0.234580i | ||||
\(589\) | −21.8128 | + | 18.9009i | −0.898782 | + | 0.778799i | ||||
\(590\) | 23.2364 | − | 10.6117i | 0.956629 | − | 0.436878i | ||||
\(591\) | −6.18198 | − | 9.61934i | −0.254293 | − | 0.395687i | ||||
\(592\) | −2.14864 | + | 7.31760i | −0.0883087 | + | 0.300752i | ||||
\(593\) | 0.0833018 | + | 0.0721814i | 0.00342079 | + | 0.00296413i | 0.656569 | − | 0.754266i | \(-0.272007\pi\) |
−0.653149 | + | 0.757230i | \(0.726552\pi\) | |||||||
\(594\) | −5.26716 | + | 1.54658i | −0.216114 | + | 0.0634568i | ||||
\(595\) | 1.92768 | − | 3.95130i | 0.0790273 | − | 0.161987i | ||||
\(596\) | −19.4475 | + | 2.79613i | −0.796602 | + | 0.114534i | ||||
\(597\) | 10.0012i | 0.409323i | ||||||||
\(598\) | −5.40892 | + | 3.68067i | −0.221187 | + | 0.150514i | ||||
\(599\) | −28.3385 | −1.15788 | −0.578939 | − | 0.815371i | \(-0.696533\pi\) | ||||
−0.578939 | + | 0.815371i | \(0.696533\pi\) | |||||||
\(600\) | 8.74494 | − | 1.25733i | 0.357011 | − | 0.0513304i | ||||
\(601\) | −28.5854 | − | 13.0545i | −1.16602 | − | 0.532504i | −0.264139 | − | 0.964485i | \(-0.585088\pi\) |
−0.901883 | + | 0.431980i | \(0.857815\pi\) | |||||||
\(602\) | −0.340293 | − | 1.27863i | −0.0138693 | − | 0.0521131i | ||||
\(603\) | 1.76496 | + | 1.52934i | 0.0718745 | + | 0.0622796i | ||||
\(604\) | 10.6215 | + | 3.11875i | 0.432182 | + | 0.126900i | ||||
\(605\) | 59.8741 | − | 38.4788i | 2.43423 | − | 1.56438i | ||||
\(606\) | −3.74970 | − | 8.21069i | −0.152321 | − | 0.333537i | ||||
\(607\) | −0.161701 | + | 0.140114i | −0.00656322 | + | 0.00568707i | −0.658136 | − | 0.752899i | \(-0.728655\pi\) |
0.651573 | + | 0.758586i | \(0.274109\pi\) | |||||||
\(608\) | 3.37803 | + | 2.17093i | 0.136997 | + | 0.0880428i | ||||
\(609\) | −22.0845 | − | 3.75209i | −0.894910 | − | 0.152042i | ||||
\(610\) | 1.29410 | − | 9.00063i | 0.0523964 | − | 0.364425i | ||||
\(611\) | 6.50494 | + | 4.18047i | 0.263162 | + | 0.169124i | ||||
\(612\) | 0.292559 | + | 0.337631i | 0.0118260 | + | 0.0136479i | ||||
\(613\) | −8.81647 | + | 4.02635i | −0.356094 | + | 0.162623i | −0.585426 | − | 0.810726i | \(-0.699073\pi\) |
0.229333 | + | 0.973348i | \(0.426346\pi\) | |||||||
\(614\) | 9.09404 | + | 14.1506i | 0.367006 | + | 0.571072i | ||||
\(615\) | 23.6473 | + | 6.94348i | 0.953552 | + | 0.279988i | ||||
\(616\) | −10.7305 | − | 9.78781i | −0.432342 | − | 0.394362i | ||||
\(617\) | −10.4511 | − | 35.5931i | −0.420744 | − | 1.43292i | −0.848580 | − | 0.529067i | \(-0.822542\pi\) |
0.427835 | − | 0.903857i | \(-0.359276\pi\) | |||||||
\(618\) | −15.0345 | − | 6.86602i | −0.604776 | − | 0.276192i | ||||
\(619\) | −4.62763 | − | 32.1858i | −0.186000 | − | 1.29366i | −0.842239 | − | 0.539105i | \(-0.818763\pi\) |
0.656239 | − | 0.754553i | \(-0.272147\pi\) | |||||||
\(620\) | − | 26.7353i | − | 1.07371i | ||||||
\(621\) | 4.63551 | + | 1.22964i | 0.186017 | + | 0.0493436i | ||||
\(622\) | − | 7.92574i | − | 0.317793i | ||||||
\(623\) | −1.08963 | − | 9.24591i | −0.0436552 | − | 0.370429i | ||||
\(624\) | −0.566708 | + | 1.24092i | −0.0226865 | + | 0.0496765i | ||||
\(625\) | −8.52078 | + | 2.50193i | −0.340831 | + | 0.100077i | ||||
\(626\) | 3.63379 | − | 4.19362i | 0.145235 | − | 0.167611i | ||||
\(627\) | 21.1501 | + | 6.21024i | 0.844655 | + | 0.248013i | ||||
\(628\) | −12.9450 | + | 8.31927i | −0.516563 | + | 0.331975i | ||||
\(629\) | 3.09926 | − | 1.41538i | 0.123576 | − | 0.0564351i | ||||
\(630\) | −6.25279 | − | 7.59912i | −0.249117 | − | 0.302756i | ||||
\(631\) | −4.22203 | + | 6.56960i | −0.168076 | + | 0.261532i | −0.915066 | − | 0.403304i | \(-0.867862\pi\) |
0.746990 | + | 0.664835i | \(0.231498\pi\) | |||||||
\(632\) | 9.03981 | + | 1.29973i | 0.359584 | + | 0.0517004i | ||||
\(633\) | 15.4197 | + | 2.21701i | 0.612877 | + | 0.0881184i | ||||
\(634\) | 17.5184 | + | 11.2584i | 0.695746 | + | 0.447129i | ||||
\(635\) | 23.5483 | + | 27.1762i | 0.934487 | + | 1.07845i | ||||
\(636\) | −3.18918 | − | 6.98333i | −0.126459 | − | 0.276907i | ||||
\(637\) | −4.74670 | − | 8.28610i | −0.188071 | − | 0.328307i | ||||
\(638\) | −13.0945 | + | 44.5958i | −0.518417 | + | 1.76557i | ||||
\(639\) | 2.51234 | − | 2.89939i | 0.0993865 | − | 0.114698i | ||||
\(640\) | −3.56886 | + | 1.04791i | −0.141071 | + | 0.0414223i | ||||
\(641\) | 33.9239 | + | 15.4925i | 1.33991 | + | 0.611918i | 0.950953 | − | 0.309336i | \(-0.100107\pi\) |
0.388961 | + | 0.921254i | \(0.372834\pi\) | |||||||
\(642\) | −1.76284 | − | 12.2608i | −0.0695739 | − | 0.483897i | ||||
\(643\) | −35.1147 | −1.38479 | −0.692394 | − | 0.721520i | \(-0.743444\pi\) | ||||
−0.692394 | + | 0.721520i | \(0.743444\pi\) | |||||||
\(644\) | 3.58472 | + | 12.1717i | 0.141258 | + | 0.479631i | ||||
\(645\) | −1.86013 | −0.0732426 | ||||||||
\(646\) | −0.255301 | − | 1.77566i | −0.0100447 | − | 0.0698622i | ||||
\(647\) | −42.7584 | − | 19.5271i | −1.68100 | − | 0.767689i | −0.999351 | − | 0.0360141i | \(-0.988534\pi\) |
−0.681654 | − | 0.731675i | \(-0.738739\pi\) | |||||||
\(648\) | 0.959493 | − | 0.281733i | 0.0376924 | − | 0.0110675i | ||||
\(649\) | −24.6888 | + | 28.4924i | −0.969120 | + | 1.11842i | ||||
\(650\) | 3.39558 | − | 11.5643i | 0.133186 | − | 0.453589i | ||||
\(651\) | −16.2551 | + | 9.87037i | −0.637089 | + | 0.386850i | ||||
\(652\) | −1.62302 | − | 3.55393i | −0.0635625 | − | 0.139182i | ||||
\(653\) | 26.5706 | + | 30.6641i | 1.03979 | + | 1.19998i | 0.979427 | + | 0.201801i | \(0.0646793\pi\) |
0.0603597 | + | 0.998177i | \(0.480775\pi\) | |||||||
\(654\) | 6.48939 | + | 4.17048i | 0.253755 | + | 0.163079i | ||||
\(655\) | −52.1942 | − | 7.50440i | −2.03940 | − | 0.293221i | ||||
\(656\) | −6.55858 | − | 0.942981i | −0.256069 | − | 0.0368172i | ||||
\(657\) | −1.05548 | + | 1.64236i | −0.0411783 | + | 0.0640747i | ||||
\(658\) | 11.5802 | − | 9.52853i | 0.451442 | − | 0.371461i | ||||
\(659\) | −24.0297 | + | 10.9740i | −0.936066 | + | 0.427487i | −0.824240 | − | 0.566241i | \(-0.808397\pi\) |
−0.111826 | + | 0.993728i | \(0.535670\pi\) | |||||||
\(660\) | −17.1771 | + | 11.0390i | −0.668616 | + | 0.429693i | ||||
\(661\) | −22.9506 | − | 6.73890i | −0.892674 | − | 0.262113i | −0.196943 | − | 0.980415i | \(-0.563101\pi\) |
−0.695731 | + | 0.718302i | \(0.744920\pi\) | |||||||
\(662\) | 9.82778 | − | 11.3419i | 0.381967 | − | 0.440814i | ||||
\(663\) | 0.584769 | − | 0.171704i | 0.0227105 | − | 0.00666841i | ||||
\(664\) | −5.07105 | + | 11.1040i | −0.196795 | + | 0.430921i | ||||
\(665\) | 4.62497 | + | 39.2444i | 0.179349 | + | 1.52183i | ||||
\(666\) | − | 7.62653i | − | 0.295522i | ||||||
\(667\) | 29.9773 | − | 27.3888i | 1.16073 | − | 1.06050i | ||||
\(668\) | 13.2242i | 0.511658i | ||||||||
\(669\) | 2.44604 | + | 17.0126i | 0.0945694 | + | 0.657745i | ||||
\(670\) | 7.90149 | + | 3.60849i | 0.305261 | + | 0.139408i | ||||
\(671\) | 3.78094 | + | 12.8767i | 0.145962 | + | 0.497100i | ||||
\(672\) | 1.95472 | + | 1.78300i | 0.0754048 | + | 0.0687807i | ||||
\(673\) | 16.9538 | + | 4.97810i | 0.653523 | + | 0.191892i | 0.591653 | − | 0.806193i | \(-0.298476\pi\) |
0.0618697 | + | 0.998084i | \(0.480294\pi\) | |||||||
\(674\) | 0.826280 | + | 1.28572i | 0.0318271 | + | 0.0495240i | ||||
\(675\) | −8.03647 | + | 3.67014i | −0.309324 | + | 0.141264i | ||||
\(676\) | −7.29447 | − | 8.41827i | −0.280557 | − | 0.323780i | ||||
\(677\) | 14.7310 | + | 9.46707i | 0.566160 | + | 0.363849i | 0.792193 | − | 0.610271i | \(-0.208939\pi\) |
−0.226033 | + | 0.974120i | \(0.572576\pi\) | |||||||
\(678\) | −2.28759 | + | 15.9106i | −0.0878545 | + | 0.611042i | ||||
\(679\) | −4.68528 | + | 27.5772i | −0.179805 | + | 1.05831i | ||||
\(680\) | 1.39791 | + | 0.898383i | 0.0536074 | + | 0.0344514i | ||||
\(681\) | 6.38163 | − | 5.52972i | 0.244545 | − | 0.211899i | ||||
\(682\) | 16.3913 | + | 35.8920i | 0.627656 | + | 1.37437i | ||||
\(683\) | 11.5344 | − | 7.41271i | 0.441352 | − | 0.283639i | −0.301033 | − | 0.953614i | \(-0.597331\pi\) |
0.742384 | + | 0.669974i | \(0.233695\pi\) | |||||||
\(684\) | −3.85282 | − | 1.13129i | −0.147316 | − | 0.0432559i | ||||
\(685\) | 31.7645 | + | 27.5241i | 1.21366 | + | 1.05164i | ||||
\(686\) | −18.1167 | + | 3.84494i | −0.691701 | + | 0.146800i | ||||
\(687\) | −5.06584 | − | 2.31349i | −0.193274 | − | 0.0882652i | ||||
\(688\) | 0.495009 | − | 0.0711716i | 0.0188720 | − | 0.00271339i | ||||
\(689\) | −10.4731 | −0.398992 | ||||||||
\(690\) | 17.8320 | − | 0.469213i | 0.678854 | − | 0.0178626i | ||||
\(691\) | 19.6453i | 0.747342i | 0.927561 | + | 0.373671i | \(0.121901\pi\) | ||||
−0.927561 | + | 0.373671i | \(0.878099\pi\) | |||||||
\(692\) | −8.81222 | + | 1.26701i | −0.334990 | + | 0.0481643i | ||||
\(693\) | 13.0533 | + | 6.36822i | 0.495855 | + | 0.241909i | ||||
\(694\) | 26.4280 | − | 7.75997i | 1.00319 | − | 0.294564i | ||||
\(695\) | 41.4355 | + | 35.9041i | 1.57174 | + | 1.36192i | ||||
\(696\) | 2.38537 | − | 8.12381i | 0.0904171 | − | 0.307932i | ||||
\(697\) | 1.60039 | + | 2.49026i | 0.0606192 | + | 0.0943253i | ||||
\(698\) | −3.94525 | + | 1.80174i | −0.149330 | + | 0.0681968i | ||||
\(699\) | −11.1121 | + | 9.62867i | −0.420298 | + | 0.364190i | ||||
\(700\) | −19.3357 | − | 13.1345i | −0.730820 | − | 0.496437i | ||||
\(701\) | −39.7499 | − | 5.71518i | −1.50133 | − | 0.215859i | −0.657906 | − | 0.753100i | \(-0.728557\pi\) |
−0.843429 | + | 0.537241i | \(0.819467\pi\) | |||||||
\(702\) | 0.194146 | − | 1.35031i | 0.00732755 | − | 0.0509642i | ||||
\(703\) | −16.5567 | + | 25.7627i | −0.624446 | + | 0.971657i | ||||
\(704\) | 4.14870 | − | 3.59487i | 0.156360 | − | 0.135487i | ||||
\(705\) | −8.75808 | − | 19.1775i | −0.329848 | − | 0.722267i | ||||
\(706\) | 7.04826 | + | 10.9673i | 0.265265 | + | 0.412760i | ||||
\(707\) | −7.31006 | + | 22.7353i | −0.274923 | + | 0.855048i | ||||
\(708\) | 4.49744 | − | 5.19032i | 0.169024 | − | 0.195064i | ||||
\(709\) | 1.27796 | + | 4.35232i | 0.0479947 | + | 0.163455i | 0.980003 | − | 0.198981i | \(-0.0637633\pi\) |
−0.932009 | + | 0.362436i | \(0.881945\pi\) | |||||||
\(710\) | 5.92787 | − | 12.9802i | 0.222469 | − | 0.487139i | ||||
\(711\) | −9.03981 | + | 1.29973i | −0.339019 | + | 0.0487436i | ||||
\(712\) | 3.51881 | 0.131873 | ||||||||
\(713\) | 4.00661 | − | 34.2379i | 0.150049 | − | 1.28222i | ||||
\(714\) | 0.0301261 | − | 1.18161i | 0.00112744 | − | 0.0442205i | ||||
\(715\) | 3.96414 | + | 27.5712i | 0.148251 | + | 1.03110i | ||||
\(716\) | −6.20353 | + | 13.5838i | −0.231837 | + | 0.507652i | ||||
\(717\) | −8.30378 | − | 28.2801i | −0.310110 | − | 1.05614i | ||||
\(718\) | −3.52808 | − | 3.05710i | −0.131667 | − | 0.114090i | ||||
\(719\) | −13.5421 | + | 46.1203i | −0.505037 | + | 1.72000i | 0.172957 | + | 0.984929i | \(0.444668\pi\) |
−0.677994 | + | 0.735068i | \(0.737150\pi\) | |||||||
\(720\) | 3.12906 | − | 2.01093i | 0.116613 | − | 0.0749428i | ||||
\(721\) | 17.1461 | + | 40.2276i | 0.638553 | + | 1.49815i | ||||
\(722\) | −1.88336 | − | 2.17352i | −0.0700915 | − | 0.0808899i | ||||
\(723\) | 14.1840 | − | 22.0707i | 0.527507 | − | 0.820817i | ||||
\(724\) | 3.23595 | − | 22.5065i | 0.120263 | − | 0.836448i | ||||
\(725\) | −10.6455 | + | 74.0414i | −0.395366 | + | 2.74983i | ||||
\(726\) | 10.3451 | − | 16.0972i | 0.383942 | − | 0.597425i | ||||
\(727\) | −2.29665 | − | 2.65047i | −0.0851780 | − | 0.0983006i | 0.711561 | − | 0.702625i | \(-0.247989\pi\) |
−0.796739 | + | 0.604324i | \(0.793443\pi\) | |||||||
\(728\) | 3.32031 | − | 1.41520i | 0.123059 | − | 0.0524509i | ||||
\(729\) | −0.841254 | + | 0.540641i | −0.0311575 | + | 0.0200237i | ||||
\(730\) | −2.04582 | + | 6.96741i | −0.0757191 | + | 0.257875i | ||||
\(731\) | −0.168849 | − | 0.146309i | −0.00624512 | − | 0.00541142i | ||||
\(732\) | −0.688757 | − | 2.34569i | −0.0254572 | − | 0.0866992i | ||||
\(733\) | −0.205946 | + | 0.450959i | −0.00760680 | + | 0.0166566i | −0.913397 | − | 0.407069i | \(-0.866551\pi\) |
0.905790 | + | 0.423726i | \(0.139278\pi\) | |||||||
\(734\) | 1.69435 | + | 11.7844i | 0.0625395 | + | 0.434972i | ||||
\(735\) | −1.32679 | + | 26.0028i | −0.0489395 | + | 0.959129i | ||||
\(736\) | −4.72742 | + | 0.807147i | −0.174255 | + | 0.0297518i | ||||
\(737\) | −12.8201 | −0.472233 | ||||||||
\(738\) | 6.55858 | − | 0.942981i | 0.241424 | − | 0.0347116i | ||||
\(739\) | 13.6028 | − | 29.7860i | 0.500387 | − | 1.09570i | −0.475956 | − | 0.879469i | \(-0.657898\pi\) |
0.976343 | − | 0.216226i | \(-0.0693750\pi\) | |||||||
\(740\) | −7.99193 | − | 27.2180i | −0.293789 | − | 1.00055i | ||||
\(741\) | −3.58726 | + | 4.13992i | −0.131781 | + | 0.152084i | ||||
\(742\) | −6.21733 | + | 19.3367i | −0.228245 | + | 0.709873i | ||||
\(743\) | −25.5982 | − | 39.8316i | −0.939107 | − | 1.46128i | −0.886535 | − | 0.462661i | \(-0.846895\pi\) |
−0.0525714 | − | 0.998617i | \(-0.516742\pi\) | |||||||
\(744\) | −2.98593 | − | 6.53827i | −0.109469 | − | 0.239705i | ||||
\(745\) | 55.2298 | − | 47.8569i | 2.02346 | − | 1.75334i | ||||
\(746\) | −8.37770 | + | 13.0360i | −0.306729 | + | 0.477280i | ||||
\(747\) | 1.73726 | − | 12.0829i | 0.0635631 | − | 0.442091i | ||||
\(748\) | −2.42748 | − | 0.349019i | −0.0887576 | − | 0.0127614i | ||||
\(749\) | −18.4152 | + | 27.1096i | −0.672878 | + | 0.990564i | ||||
\(750\) | −10.7799 | + | 9.34085i | −0.393627 | + | 0.341080i | ||||
\(751\) | −39.5310 | + | 18.0532i | −1.44251 | + | 0.658770i | −0.974383 | − | 0.224894i | \(-0.927796\pi\) |
−0.468122 | + | 0.883664i | \(0.655069\pi\) | |||||||
\(752\) | 3.06442 | + | 4.76833i | 0.111748 | + | 0.173883i | ||||
\(753\) | −3.38915 | + | 11.5424i | −0.123508 | + | 0.420628i | ||||
\(754\) | −8.72917 | − | 7.56387i | −0.317898 | − | 0.275460i | ||||
\(755\) | −39.5068 | + | 11.6003i | −1.43780 | + | 0.422177i | ||||
\(756\) | −2.37787 | − | 1.16007i | −0.0864821 | − | 0.0421913i | ||||
\(757\) | −15.4761 | + | 2.22513i | −0.562490 | + | 0.0808738i | −0.417694 | − | 0.908588i | \(-0.637162\pi\) |
−0.144796 | + | 0.989462i | \(0.546253\pi\) | |||||||
\(758\) | − | 6.02358i | − | 0.218786i | ||||||
\(759\) | −23.6518 | + | 11.5627i | −0.858504 | + | 0.419699i | ||||
\(760\) | −14.9357 | −0.541773 | ||||||||
\(761\) | 39.8653 | − | 5.73176i | 1.44512 | − | 0.207776i | 0.625291 | − | 0.780391i | \(-0.284980\pi\) |
0.819824 | + | 0.572615i | \(0.194071\pi\) | |||||||
\(762\) | 8.79406 | + | 4.01611i | 0.318575 | + | 0.145488i | ||||
\(763\) | −5.24896 | − | 19.7227i | −0.190025 | − | 0.714008i | ||||
\(764\) | 0.849373 | + | 0.735986i | 0.0307293 | + | 0.0266271i | ||||
\(765\) | −1.59439 | − | 0.468155i | −0.0576453 | − | 0.0169262i | ||||
\(766\) | −11.0606 | + | 7.10825i | −0.399637 | + | 0.256831i | ||||
\(767\) | −3.89203 | − | 8.52235i | −0.140533 | − | 0.307724i | ||||
\(768\) | −0.755750 | + | 0.654861i | −0.0272708 | + | 0.0236303i | ||||
\(769\) | 23.8709 | + | 15.3409i | 0.860806 | + | 0.553206i | 0.894928 | − | 0.446211i | \(-0.147227\pi\) |
−0.0341219 | + | 0.999418i | \(0.510863\pi\) | |||||||
\(770\) | 53.2588 | + | 9.04852i | 1.91932 | + | 0.326086i | ||||
\(771\) | 0.989171 | − | 6.87983i | 0.0356241 | − | 0.247771i | ||||
\(772\) | 8.08752 | + | 5.19753i | 0.291076 | + | 0.187063i | ||||
\(773\) | −23.1587 | − | 26.7266i | −0.832962 | − | 0.961290i | 0.166732 | − | 0.986002i | \(-0.446678\pi\) |
−0.999695 | + | 0.0247125i | \(0.992133\pi\) | |||||||
\(774\) | −0.454906 | + | 0.207749i | −0.0163513 | + | 0.00746738i | ||||
\(775\) | 34.3325 | + | 53.4225i | 1.23326 | + | 1.91899i | ||||
\(776\) | −10.1443 | − | 2.97863i | −0.364159 | − | 0.106927i | ||||
\(777\) | −13.5981 | + | 14.9077i | −0.487829 | + | 0.534811i | ||||
\(778\) | −9.85367 | − | 33.5585i | −0.353271 | − | 1.20313i | ||||
\(779\) | −24.2022 | − | 11.0528i | −0.867134 | − | 0.396007i | ||||
\(780\) | −0.722129 | − | 5.02252i | −0.0258564 | − | 0.179835i | ||||
\(781\) | 21.0602i | 0.753595i | ||||||||
\(782\) | 1.65557 | + | 1.35999i | 0.0592030 | + | 0.0486331i | ||||
\(783\) | 8.46678i | 0.302578i | ||||||||
\(784\) | −0.641830 | − | 6.97051i | −0.0229225 | − | 0.248947i | ||||
\(785\) | 23.7764 | − | 52.0631i | 0.848616 | − | 1.85821i | ||||
\(786\) | −13.6025 | + | 3.99407i | −0.485187 | + | 0.142464i | ||||
\(787\) | −5.12632 | + | 5.91609i | −0.182734 | + | 0.210886i | −0.839724 | − | 0.543013i | \(-0.817284\pi\) |
0.656991 | + | 0.753898i | \(0.271829\pi\) | |||||||
\(788\) | −10.9714 | − | 3.22148i | −0.390838 | − | 0.114760i | ||||
\(789\) | 17.1431 | − | 11.0172i | 0.610310 | − | 0.392223i | ||||
\(790\) | −30.8998 | + | 14.1115i | −1.09937 | + | 0.502063i | ||||
\(791\) | 32.8401 | − | 27.0219i | 1.16766 | − | 0.960787i | ||||
\(792\) | −2.96786 | + | 4.61808i | −0.105458 | + | 0.164096i | ||||
\(793\) | −3.30113 | − | 0.474631i | −0.117227 | − | 0.0168546i | ||||
\(794\) | −16.9379 | − | 2.43530i | −0.601102 | − | 0.0864254i | ||||
\(795\) | 24.0221 | + | 15.4381i | 0.851976 | + | 0.547532i | ||||
\(796\) | 6.54941 | + | 7.55842i | 0.232138 | + | 0.267901i | ||||
\(797\) | 20.1944 | + | 44.2195i | 0.715321 | + | 1.56634i | 0.820347 | + | 0.571866i | \(0.193780\pi\) |
−0.105026 | + | 0.994469i | \(0.533493\pi\) | |||||||
\(798\) | 5.51408 | + | 9.08092i | 0.195196 | + | 0.321461i | ||||
\(799\) | 0.713414 | − | 2.42966i | 0.0252388 | − | 0.0859553i | ||||
\(800\) | 5.78561 | − | 6.67694i | 0.204552 | − | 0.236066i | ||||
\(801\) | −3.37627 | + | 0.991363i | −0.119295 | + | 0.0350281i | ||||
\(802\) | 30.7109 | + | 14.0252i | 1.08444 | + | 0.495247i | ||||
\(803\) | −1.52520 | − | 10.6080i | −0.0538231 | − | 0.374348i | ||||
\(804\) | 2.33537 | 0.0823622 | ||||||||
\(805\) | −35.6932 | − | 30.8773i | −1.25802 | − | 1.08828i | ||||
\(806\) | −9.80561 | −0.345388 | ||||||||
\(807\) | 3.65221 | + | 25.4017i | 0.128564 | + | 0.894182i | ||||
\(808\) | −8.21069 | − | 3.74970i | −0.288851 | − | 0.131914i | ||||
\(809\) | −36.1791 | + | 10.6231i | −1.27199 | + | 0.373490i | −0.846944 | − | 0.531683i | \(-0.821560\pi\) |
−0.425045 | + | 0.905172i | \(0.639742\pi\) | |||||||
\(810\) | −2.43577 | + | 2.81103i | −0.0855843 | + | 0.0987695i | ||||
\(811\) | 9.37411 | − | 31.9253i | 0.329169 | − | 1.12105i | −0.614158 | − | 0.789183i | \(-0.710504\pi\) |
0.943327 | − | 0.331865i | \(-0.107678\pi\) | |||||||
\(812\) | −19.1475 | + | 11.6266i | −0.671944 | + | 0.408015i | ||||
\(813\) | 9.30133 | + | 20.3671i | 0.326212 | + | 0.714304i | ||||
\(814\) | 27.4164 | + | 31.6402i | 0.960944 | + | 1.10899i | ||||
\(815\) | 12.2252 | + | 7.85668i | 0.428231 | + | 0.275207i | ||||
\(816\) | 0.442203 | + | 0.0635792i | 0.0154802 | + | 0.00222572i | ||||
\(817\) | 1.98770 | + | 0.285788i | 0.0695407 | + | 0.00999844i | ||||
\(818\) | −4.51972 | + | 7.03283i | −0.158028 | + | 0.245897i | ||||
\(819\) | −2.78710 | + | 2.29331i | −0.0973893 | + | 0.0801349i | ||||
\(820\) | 22.4185 | − | 10.2382i | 0.782887 | − | 0.357532i | ||||
\(821\) | 8.06399 | − | 5.18241i | 0.281435 | − | 0.180867i | −0.392306 | − | 0.919835i | \(-0.628323\pi\) |
0.673741 | + | 0.738967i | \(0.264686\pi\) | |||||||
\(822\) | 10.8422 | + | 3.18357i | 0.378166 | + | 0.111040i | ||||
\(823\) | 7.11865 | − | 8.21536i | 0.248141 | − | 0.286369i | −0.617991 | − | 0.786185i | \(-0.712053\pi\) |
0.866132 | + | 0.499815i | \(0.166599\pi\) | |||||||
\(824\) | −15.8586 | + | 4.65651i | −0.552461 | + | 0.162217i | ||||
\(825\) | 20.1473 | − | 44.1164i | 0.701438 | − | 1.53594i | ||||
\(826\) | −18.0456 | + | 2.12668i | −0.627885 | + | 0.0739965i | ||||
\(827\) | 43.6991i | 1.51957i | 0.650177 | + | 0.759783i | \(0.274695\pi\) | ||||
−0.650177 | + | 0.759783i | \(0.725305\pi\) | |||||||
\(828\) | 4.30853 | − | 2.10632i | 0.149732 | − | 0.0731997i | ||||
\(829\) | − | 8.12001i | − | 0.282020i | −0.990008 | − | 0.141010i | \(-0.954965\pi\) | ||
0.990008 | − | 0.141010i | \(-0.0450349\pi\) | |||||||
\(830\) | −6.46179 | − | 44.9428i | −0.224292 | − | 1.55999i | ||||
\(831\) | −15.0735 | − | 6.88383i | −0.522893 | − | 0.238797i | ||||
\(832\) | 0.384339 | + | 1.30894i | 0.0133246 | + | 0.0453793i | ||||
\(833\) | −2.16569 | + | 2.25599i | −0.0750368 | + | 0.0781654i | ||||
\(834\) | 14.1432 | + | 4.15283i | 0.489741 | + | 0.143801i | ||||
\(835\) | −26.5928 | − | 41.3792i | −0.920282 | − | 1.43199i | ||||
\(836\) | 20.0510 | − | 9.15700i | 0.693480 | − | 0.316702i | ||||
\(837\) | 4.70702 | + | 5.43219i | 0.162698 | + | 0.187764i | ||||
\(838\) | −23.2949 | − | 14.9707i | −0.804709 | − | 0.517155i | ||||
\(839\) | 1.44212 | − | 10.0302i | 0.0497875 | − | 0.346280i | −0.949667 | − | 0.313261i | \(-0.898579\pi\) |
0.999455 | − | 0.0330192i | \(-0.0105122\pi\) | |||||||
\(840\) | −9.70191 | − | 1.64833i | −0.334748 | − | 0.0568726i | ||||
\(841\) | 35.9100 | + | 23.0779i | 1.23828 | + | 0.795791i | ||||
\(842\) | −8.57231 | + | 7.42795i | −0.295421 | + | 0.255984i | ||||
\(843\) | 4.22210 | + | 9.24512i | 0.145417 | + | 0.318419i | ||||
\(844\) | 13.1052 | − | 8.42223i | 0.451101 | − | 0.289905i | ||||
\(845\) | 39.7534 | + | 11.6726i | 1.36756 | + | 0.401551i | ||||
\(846\) | −4.28368 | − | 3.71183i | −0.147276 | − | 0.127615i | ||||
\(847\) | −48.9231 | + | 13.0203i | −1.68102 | + | 0.447383i | ||||
\(848\) | −6.98333 | − | 3.18918i | −0.239808 | − | 0.109517i | ||||
\(849\) | −27.2619 | + | 3.91968i | −0.935628 | + | 0.134523i | ||||
\(850\) | −3.94698 | −0.135380 | ||||||||
\(851\) | −6.15573 | − | 36.0538i | −0.211016 | − | 1.23591i | ||||
\(852\) | − | 3.83645i | − | 0.131434i | ||||||
\(853\) | −12.7268 | + | 1.82984i | −0.435758 | + | 0.0626525i | −0.356703 | − | 0.934218i | \(-0.616099\pi\) |
−0.0790546 | + | 0.996870i | \(0.525190\pi\) | |||||||
\(854\) | −2.83604 | + | 5.81321i | −0.0970472 | + | 0.198924i | ||||
\(855\) | 14.3307 | − | 4.20786i | 0.490098 | − | 0.143906i | ||||
\(856\) | −9.36142 | − | 8.11171i | −0.319967 | − | 0.277253i | ||||
\(857\) | 3.09614 | − | 10.5445i | 0.105762 | − | 0.360192i | −0.889558 | − | 0.456821i | \(-0.848988\pi\) |
0.995320 | + | 0.0966290i | \(0.0308060\pi\) | |||||||
\(858\) | 4.04875 | + | 6.29997i | 0.138222 | + | 0.215077i | ||||
\(859\) | 9.11064 | − | 4.16069i | 0.310851 | − | 0.141961i | −0.253880 | − | 0.967236i | \(-0.581707\pi\) |
0.564732 | + | 0.825275i | \(0.308980\pi\) | |||||||
\(860\) | −1.40579 | + | 1.21813i | −0.0479372 | + | 0.0415378i | ||||
\(861\) | −14.5015 | − | 9.85067i | −0.494209 | − | 0.335710i | ||||
\(862\) | 10.9736 | + | 1.57776i | 0.373761 | + | 0.0537387i | ||||
\(863\) | −3.38217 | + | 23.5235i | −0.115130 | + | 0.800750i | 0.847668 | + | 0.530528i | \(0.178006\pi\) |
−0.962798 | + | 0.270222i | \(0.912903\pi\) | |||||||
\(864\) | 0.540641 | − | 0.841254i | 0.0183930 | − | 0.0286200i | ||||
\(865\) | 25.0261 | − | 21.6853i | 0.850914 | − | 0.737321i | ||||
\(866\) | −0.476669 | − | 1.04376i | −0.0161979 | − | 0.0354684i | ||||
\(867\) | 9.08299 | + | 14.1334i | 0.308474 | + | 0.479996i | ||||
\(868\) | −5.82109 | + | 18.1044i | −0.197581 | + | 0.614502i | ||||
\(869\) | 32.8311 | − | 37.8891i | 1.11372 | − | 1.28530i | ||||
\(870\) | 8.87243 | + | 30.2167i | 0.300804 | + | 1.02444i | ||||
\(871\) | 1.32347 | − | 2.89800i | 0.0448442 | − | 0.0981951i | ||||
\(872\) | 7.63543 | − | 1.09781i | 0.258568 | − | 0.0371765i | ||||
\(873\) | 10.5726 | 0.357827 | ||||||||
\(874\) | −19.1270 | − | 2.23829i | −0.646981 | − | 0.0757114i | ||||
\(875\) | 37.7264 | + | 0.961868i | 1.27538 | + | 0.0325171i | ||||
\(876\) | 0.277838 | + | 1.93241i | 0.00938729 | + | 0.0652900i | ||||
\(877\) | 15.6495 | − | 34.2677i | 0.528448 | − | 1.15714i | −0.437693 | − | 0.899124i | \(-0.644204\pi\) |
0.966141 | − | 0.258015i | \(-0.0830683\pi\) | |||||||
\(878\) | 8.78697 | + | 29.9257i | 0.296546 | + | 1.00994i | ||||
\(879\) | −5.55707 | − | 4.81523i | −0.187435 | − | 0.162414i | ||||
\(880\) | −5.75253 | + | 19.5913i | −0.193918 | + | 0.660423i | ||||
\(881\) | 33.9373 | − | 21.8102i | 1.14338 | − | 0.734803i | 0.175066 | − | 0.984557i | \(-0.443986\pi\) |
0.968309 | + | 0.249754i | \(0.0803498\pi\) | |||||||
\(882\) | 2.57965 | + | 6.50733i | 0.0868614 | + | 0.219113i | ||||
\(883\) | 33.4723 | + | 38.6291i | 1.12643 | + | 1.29997i | 0.948801 | + | 0.315875i | \(0.102298\pi\) |
0.177631 | + | 0.984097i | \(0.443157\pi\) | |||||||
\(884\) | 0.329497 | − | 0.512707i | 0.0110822 | − | 0.0172442i | ||||
\(885\) | −3.63542 | + | 25.2849i | −0.122203 | + | 0.849942i | ||||
\(886\) | 2.81959 | − | 19.6107i | 0.0947261 | − | 0.658835i | ||||
\(887\) | 24.7221 | − | 38.4683i | 0.830086 | − | 1.29164i | −0.124053 | − | 0.992276i | \(-0.539589\pi\) |
0.954139 | − | 0.299363i | \(-0.0967743\pi\) | |||||||
\(888\) | −4.99432 | − | 5.76375i | −0.167598 | − | 0.193419i | ||||
\(889\) | −10.0292 | − | 23.5301i | −0.336367 | − | 0.789176i | ||||
\(890\) | −11.0106 | + | 7.07607i | −0.369075 | + | 0.237190i | ||||
\(891\) | 1.54658 | − | 5.26716i | 0.0518123 | − | 0.176456i | ||||
\(892\) | 12.9895 | + | 11.2554i | 0.434920 | + | 0.376860i | ||||
\(893\) | 6.41229 | + | 21.8383i | 0.214579 | + | 0.730789i | ||||
\(894\) | 8.16188 | − | 17.8720i | 0.272974 | − | 0.597730i | ||||
\(895\) | −7.90487 | − | 54.9796i | −0.264231 | − | 1.83776i | ||||
\(896\) | 2.64489 | + | 0.0674339i | 0.0883596 | + | 0.00225281i | ||||
\(897\) | −0.172092 | − | 6.54020i | −0.00574597 | − | 0.218371i | ||||
\(898\) | 30.0189 | 1.00174 | ||||||||
\(899\) | 60.2382 | − | 8.66095i | 2.00906 | − | 0.288859i | ||||
\(900\) | −3.67014 | + | 8.03647i | −0.122338 | + | 0.267882i | ||||
\(901\) | 0.966270 | + | 3.29081i | 0.0321911 | + | 0.109633i | ||||
\(902\) | −23.8197 | + | 27.4894i | −0.793109 | + | 0.915296i | ||||
\(903\) | 1.25963 | + | 0.405008i | 0.0419178 | + | 0.0134778i | ||||
\(904\) | 8.69036 | + | 13.5225i | 0.289037 | + | 0.449750i | ||||
\(905\) | 35.1335 | + | 76.9316i | 1.16788 | + | 2.55729i | ||||
\(906\) | −8.36606 | + | 7.24923i | −0.277944 | + | 0.240840i | ||||
\(907\) | −5.44558 | + | 8.47348i | −0.180817 | + | 0.281357i | −0.919816 | − | 0.392349i | \(-0.871662\pi\) |
0.738999 | + | 0.673707i | \(0.235299\pi\) | |||||||
\(908\) | 1.20172 | − | 8.35816i | 0.0398806 | − | 0.277375i | ||||
\(909\) | 8.93451 | + | 1.28459i | 0.296339 | + | 0.0426071i | ||||
\(910\) | −7.54359 | + | 11.1052i | −0.250067 | + | 0.368132i | ||||
\(911\) | −34.9123 | + | 30.2517i | −1.15670 | + | 1.00228i | −0.156804 | + | 0.987630i | \(0.550119\pi\) |
−0.999893 | + | 0.0146534i | \(0.995336\pi\) | |||||||
\(912\) | −3.65260 | + | 1.66809i | −0.120950 | + | 0.0552359i | ||||
\(913\) | 36.2292 | + | 56.3737i | 1.19901 | + | 1.86570i | ||||
\(914\) | −5.97081 | + | 20.3347i | −0.197497 | + | 0.672613i | ||||
\(915\) | 6.87217 | + | 5.95477i | 0.227187 | + | 0.196859i | ||||
\(916\) | −5.34352 | + | 1.56900i | −0.176555 | + | 0.0518412i | ||||
\(917\) | 33.7105 | + | 16.4461i | 1.11322 | + | 0.543097i | ||||
\(918\) | −0.442203 | + | 0.0635792i | −0.0145949 | + | 0.00209843i | ||||
\(919\) | 13.1523i | 0.433854i | 0.976188 | + | 0.216927i | \(0.0696033\pi\) | ||||
−0.976188 | + | 0.216927i | \(0.930397\pi\) | |||||||
\(920\) | 13.1693 | − | 12.0321i | 0.434179 | − | 0.396687i | ||||
\(921\) | −16.8209 | −0.554266 | ||||||||
\(922\) | −2.66118 | + | 0.382619i | −0.0876412 | + | 0.0126009i | ||||
\(923\) | −4.76071 | − | 2.17414i | −0.156701 | − | 0.0715628i | ||||
\(924\) | 14.0353 | − | 3.73534i | 0.461729 | − | 0.122884i | ||||
\(925\) | 50.9219 | + | 44.1241i | 1.67430 | + | 1.45079i | ||||
\(926\) | −5.78789 | − | 1.69948i | −0.190202 | − | 0.0558483i | ||||
\(927\) | 13.9043 | − | 8.93577i | 0.456678 | − | 0.293489i | ||||
\(928\) | −3.51723 | − | 7.70165i | −0.115459 | − | 0.252819i | ||||
\(929\) | −8.34751 | + | 7.23316i | −0.273873 | + | 0.237312i | −0.780958 | − | 0.624584i | \(-0.785269\pi\) |
0.507085 | + | 0.861896i | \(0.330723\pi\) | |||||||
\(930\) | 22.4911 | + | 14.4542i | 0.737514 | + | 0.473971i | ||||
\(931\) | 5.41282 | − | 27.5822i | 0.177398 | − | 0.903971i | ||||
\(932\) | −2.09251 | + | 14.5537i | −0.0685425 | + | 0.476723i | ||||
\(933\) | 6.66756 | + | 4.28498i | 0.218286 | + | 0.140284i | ||||
\(934\) | −21.4211 | − | 24.7213i | −0.700921 | − | 0.808906i | ||||
\(935\) | 8.29760 | − | 3.78939i | 0.271361 | − | 0.123926i | ||||
\(936\) | −0.737541 | − | 1.14764i | −0.0241073 | − | 0.0375117i | ||||
\(937\) | −19.1362 | − | 5.61890i | −0.625153 | − | 0.183562i | −0.0462132 | − | 0.998932i | \(-0.514715\pi\) |
−0.578940 | + | 0.815370i | \(0.696534\pi\) | |||||||
\(938\) | −4.56499 | − | 4.16396i | −0.149052 | − | 0.135958i | ||||
\(939\) | 1.56332 | + | 5.32418i | 0.0510170 | + | 0.173748i | ||||
\(940\) | −19.1775 | − | 8.75808i | −0.625502 | − | 0.285657i | ||||
\(941\) | −4.70745 | − | 32.7410i | −0.153458 | − | 1.06733i | −0.910366 | − | 0.413805i | \(-0.864200\pi\) |
0.756907 | − | 0.653522i | \(-0.226709\pi\) | |||||||
\(942\) | − | 15.3878i | − | 0.501362i | ||||||
\(943\) | 30.2440 | − | 9.75160i | 0.984881 | − | 0.317556i | ||||
\(944\) | − | 6.86778i | − | 0.223527i | ||||||
\(945\) | 9.77330 | − | 1.15179i | 0.317926 | − | 0.0374676i | ||||
\(946\) | 1.14044 | − | 2.49722i | 0.0370789 | − | 0.0811916i | ||||
\(947\) | 27.8690 | − | 8.18308i | 0.905621 | − | 0.265914i | 0.204425 | − | 0.978882i | \(-0.434468\pi\) |
0.701197 | + | 0.712968i | \(0.252649\pi\) | |||||||
\(948\) | −5.98069 | + | 6.90209i | −0.194244 | + | 0.224169i | ||||
\(949\) | 2.55541 | + | 0.750337i | 0.0829522 | + | 0.0243570i | ||||
\(950\) | 29.8444 | − | 19.1799i | 0.968282 | − | 0.622277i | ||||
\(951\) | −18.9424 | + | 8.65069i | −0.614249 | + | 0.280518i | ||||
\(952\) | −0.751020 | − | 0.912727i | −0.0243407 | − | 0.0295817i | ||||
\(953\) | −6.64607 | + | 10.3415i | −0.215287 | + | 0.334994i | −0.932054 | − | 0.362320i | \(-0.881985\pi\) |
0.716767 | + | 0.697313i | \(0.245621\pi\) | |||||||
\(954\) | 7.59895 | + | 1.09256i | 0.246025 | + | 0.0353731i | ||||
\(955\) | −4.13776 | − | 0.594920i | −0.133895 | − | 0.0192512i | ||||
\(956\) | −24.7951 | − | 15.9348i | −0.801930 | − | 0.515369i | ||||
\(957\) | −30.4370 | − | 35.1261i | −0.983887 | − | 1.13547i | ||||
\(958\) | −6.24511 | − | 13.6749i | −0.201770 | − | 0.441816i | ||||
\(959\) | −15.5172 | − | 25.5547i | −0.501076 | − | 0.825203i | ||||
\(960\) | 1.04791 | − | 3.56886i | 0.0338212 | − | 0.115184i | ||||
\(961\) | 13.5325 | − | 15.6174i | 0.436534 | − | 0.503787i | ||||
\(962\) | −9.98266 | + | 2.93117i | −0.321854 | + | 0.0945048i | ||||
\(963\) | 11.2675 | + | 5.14572i | 0.363092 | + | 0.165818i | ||||
\(964\) | −3.73370 | − | 25.9684i | −0.120254 | − | 0.836387i | ||||
\(965\) | −35.7582 | −1.15110 | ||||||||
\(966\) | −12.1775 | − | 3.56484i | −0.391805 | − | 0.114697i | ||||
\(967\) | 30.8833 | 0.993140 | 0.496570 | − | 0.867997i | \(-0.334593\pi\) | ||||
0.496570 | + | 0.867997i | \(0.334593\pi\) | |||||||
\(968\) | −2.72317 | − | 18.9401i | −0.0875260 | − | 0.608757i | ||||
\(969\) | 1.63180 | + | 0.745219i | 0.0524210 | + | 0.0239399i | ||||
\(970\) | 37.7319 | − | 11.0791i | 1.21150 | − | 0.355728i | ||||
\(971\) | −21.5151 | + | 24.8298i | −0.690453 | + | 0.796825i | −0.987430 | − | 0.158060i | \(-0.949476\pi\) |
0.296977 | + | 0.954885i | \(0.404022\pi\) | |||||||
\(972\) | −0.281733 | + | 0.959493i | −0.00903658 | + | 0.0307758i | ||||
\(973\) | −20.2415 | − | 33.3350i | −0.648914 | − | 1.06867i | ||||
\(974\) | 2.43259 | + | 5.32662i | 0.0779451 | + | 0.170676i | ||||
\(975\) | 7.89271 | + | 9.10867i | 0.252769 | + | 0.291711i | ||||
\(976\) | −2.05663 | − | 1.32171i | −0.0658310 | − | 0.0423070i | ||||
\(977\) | −1.52002 | − | 0.218547i | −0.0486299 | − | 0.00699192i | 0.117957 | − | 0.993019i | \(-0.462366\pi\) |
−0.166587 | + | 0.986027i | \(0.553275\pi\) | |||||||
\(978\) | 3.86722 | + | 0.556023i | 0.123660 | + | 0.0177797i | ||||
\(979\) | 10.4433 | − | 16.2501i | 0.333770 | − | 0.519356i | ||||
\(980\) | 16.0255 | + | 20.5205i | 0.511916 | + | 0.655503i | ||||
\(981\) | −7.01686 | + | 3.20449i | −0.224031 | + | 0.102312i | ||||
\(982\) | 17.8562 | − | 11.4755i | 0.569814 | − | 0.366197i | ||||
\(983\) | 35.5172 | + | 10.4288i | 1.13282 | + | 0.332627i | 0.793816 | − | 0.608157i | \(-0.208091\pi\) |
0.339006 | + | 0.940784i | \(0.389909\pi\) | |||||||
\(984\) | 4.33912 | − | 5.00761i | 0.138326 | − | 0.159637i | ||||
\(985\) | 40.8082 | − | 11.9824i | 1.30026 | − | 0.381790i | ||||
\(986\) | −1.57132 | + | 3.44072i | −0.0500411 | + | 0.109575i | ||||
\(987\) | 1.75519 | + | 14.8934i | 0.0558683 | + | 0.474062i | ||||
\(988\) | 5.47790i | 0.174275i | ||||||||
\(989\) | −1.98285 | + | 1.34929i | −0.0630510 | + | 0.0429050i | ||||
\(990\) | − | 20.4184i | − | 0.648940i | ||||||
\(991\) | 4.53495 | + | 31.5412i | 0.144057 | + | 1.00194i | 0.925712 | + | 0.378229i | \(0.123467\pi\) |
−0.781655 | + | 0.623711i | \(0.785624\pi\) | |||||||
\(992\) | −6.53827 | − | 2.98593i | −0.207590 | − | 0.0948033i | ||||
\(993\) | 4.22808 | + | 14.3995i | 0.134174 | + | 0.456955i | ||||
\(994\) | −6.84038 | + | 7.49916i | −0.216964 | + | 0.237859i | ||||
\(995\) | −35.6929 | − | 10.4804i | −1.13154 | − | 0.332251i | ||||
\(996\) | −6.59970 | − | 10.2693i | −0.209120 | − | 0.325396i | ||||
\(997\) | −49.8283 | + | 22.7558i | −1.57808 | + | 0.720684i | −0.995735 | − | 0.0922602i | \(-0.970591\pi\) |
−0.582342 | + | 0.812944i | \(0.697864\pi\) | |||||||
\(998\) | −19.1689 | − | 22.1221i | −0.606781 | − | 0.700263i | ||||
\(999\) | 6.41585 | + | 4.12321i | 0.202988 | + | 0.130453i |
(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 | 966.2.s.b.181.8 | ✓ | 160 | |
7.6 | odd | 2 | inner | 966.2.s.b.181.9 | yes | 160 | |
23.15 | odd | 22 | inner | 966.2.s.b.475.9 | yes | 160 | |
161.153 | even | 22 | inner | 966.2.s.b.475.8 | yes | 160 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
966.2.s.b.181.8 | ✓ | 160 | 1.1 | even | 1 | trivial | |
966.2.s.b.181.9 | yes | 160 | 7.6 | odd | 2 | inner | |
966.2.s.b.475.8 | yes | 160 | 161.153 | even | 22 | inner | |
966.2.s.b.475.9 | yes | 160 | 23.15 | odd | 22 | inner |