Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [115,2,Mod(4,115)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(115, base_ring=CyclotomicField(22))
chi = DirichletCharacter(H, H._module([11, 4]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("115.4");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 115 = 5 \cdot 23 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 115.j (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: | \(0.918279623245\) |
Analytic rank: | \(0\) |
Dimension: | \(100\) |
Relative dimension: | \(10\) over \(\Q(\zeta_{22})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{22}]$ |
Embedding invariants
Embedding label | 4.8 | ||
Character | \(\chi\) | \(=\) | 115.4 |
Dual form | 115.2.j.a.29.8 |
$q$-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 \(\left(\mathbb{Z}/115\mathbb{Z}\right)^\times\).
\(n\) | \(47\) | \(51\) |
\(\chi(n)\) | \(-1\) | \(e\left(\frac{2}{11}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.49755 | − | 0.683908i | 1.05893 | − | 0.483596i | 0.191671 | − | 0.981459i | \(-0.438609\pi\) |
0.867255 | + | 0.497863i | \(0.165882\pi\) | |||||||
\(3\) | −0.900592 | − | 3.06714i | −0.519957 | − | 1.77081i | −0.629686 | − | 0.776850i | \(-0.716816\pi\) |
0.109729 | − | 0.993962i | \(-0.465002\pi\) | |||||||
\(4\) | 0.465201 | − | 0.536871i | 0.232601 | − | 0.268436i | ||||
\(5\) | 1.43463 | + | 1.71518i | 0.641586 | + | 0.767051i | ||||
\(6\) | −3.44632 | − | 3.97726i | −1.40695 | − | 1.62371i | ||||
\(7\) | −0.632042 | + | 0.0908739i | −0.238889 | + | 0.0343471i | −0.260719 | − | 0.965415i | \(-0.583960\pi\) |
0.0218302 | + | 0.999762i | \(0.493051\pi\) | |||||||
\(8\) | −0.598154 | + | 2.03713i | −0.211480 | + | 0.720233i | ||||
\(9\) | −6.07249 | + | 3.90255i | −2.02416 | + | 1.30085i | ||||
\(10\) | 3.32145 | + | 1.58741i | 1.05034 | + | 0.501983i | ||||
\(11\) | 1.69819 | − | 3.71852i | 0.512024 | − | 1.12118i | −0.460348 | − | 0.887738i | \(-0.652275\pi\) |
0.972372 | − | 0.233437i | \(-0.0749973\pi\) | |||||||
\(12\) | −2.06561 | − | 0.943334i | −0.596291 | − | 0.272317i | ||||
\(13\) | 3.19357 | + | 0.459166i | 0.885738 | + | 0.127350i | 0.570144 | − | 0.821545i | \(-0.306887\pi\) |
0.315593 | + | 0.948895i | \(0.397796\pi\) | |||||||
\(14\) | −0.884364 | + | 0.568346i | −0.236356 | + | 0.151897i | ||||
\(15\) | 3.96867 | − | 5.94488i | 1.02471 | − | 1.53496i | ||||
\(16\) | 0.699637 | + | 4.86608i | 0.174909 | + | 1.21652i | ||||
\(17\) | −0.965240 | + | 0.836385i | −0.234105 | + | 0.202853i | −0.764011 | − | 0.645203i | \(-0.776773\pi\) |
0.529906 | + | 0.848056i | \(0.322227\pi\) | |||||||
\(18\) | −6.42487 | + | 9.99729i | −1.51436 | + | 2.35638i | ||||
\(19\) | 0.307596 | − | 0.354985i | 0.0705674 | − | 0.0814391i | −0.719368 | − | 0.694629i | \(-0.755569\pi\) |
0.789935 | + | 0.613190i | \(0.210114\pi\) | |||||||
\(20\) | 1.58822 | + | 0.0276922i | 0.355137 | + | 0.00619216i | ||||
\(21\) | 0.847934 | + | 1.85672i | 0.185034 | + | 0.405169i | ||||
\(22\) | − | 6.73007i | − | 1.43486i | ||||||
\(23\) | −3.19949 | + | 3.57257i | −0.667140 | + | 0.744933i | ||||
\(24\) | 6.78684 | 1.38536 | ||||||||
\(25\) | −0.883674 | + | 4.92129i | −0.176735 | + | 0.984258i | ||||
\(26\) | 5.09656 | − | 1.49648i | 0.999517 | − | 0.293485i | ||||
\(27\) | 10.1910 | + | 8.83052i | 1.96125 | + | 1.69943i | ||||
\(28\) | −0.245239 | + | 0.381599i | −0.0463458 | + | 0.0721155i | ||||
\(29\) | −2.61894 | − | 3.02242i | −0.486325 | − | 0.561249i | 0.458555 | − | 0.888666i | \(-0.348367\pi\) |
−0.944880 | + | 0.327417i | \(0.893822\pi\) | |||||||
\(30\) | 1.87753 | − | 11.6170i | 0.342788 | − | 2.12096i | ||||
\(31\) | −4.96368 | − | 1.45747i | −0.891503 | − | 0.261769i | −0.196267 | − | 0.980551i | \(-0.562882\pi\) |
−0.695236 | + | 0.718782i | \(0.744700\pi\) | |||||||
\(32\) | 2.07999 | + | 3.23653i | 0.367694 | + | 0.572143i | ||||
\(33\) | −12.9346 | − | 1.85971i | −2.25162 | − | 0.323734i | ||||
\(34\) | −0.873484 | + | 1.91266i | −0.149801 | + | 0.328019i | ||||
\(35\) | −1.06261 | − | 0.953694i | −0.179614 | − | 0.161204i | ||||
\(36\) | −0.729764 | + | 5.07562i | −0.121627 | + | 0.845936i | ||||
\(37\) | −5.16825 | − | 8.04195i | −0.849655 | − | 1.32209i | −0.945143 | − | 0.326658i | \(-0.894077\pi\) |
0.0954879 | − | 0.995431i | \(-0.469559\pi\) | |||||||
\(38\) | 0.217863 | − | 0.741974i | 0.0353421 | − | 0.120364i | ||||
\(39\) | −1.46778 | − | 10.2086i | −0.235033 | − | 1.63469i | ||||
\(40\) | −4.35217 | + | 1.89658i | −0.688138 | + | 0.299876i | ||||
\(41\) | 7.36949 | + | 4.73608i | 1.15092 | + | 0.739652i | 0.969822 | − | 0.243813i | \(-0.0783983\pi\) |
0.181099 | + | 0.983465i | \(0.442035\pi\) | |||||||
\(42\) | 2.53965 | + | 2.20062i | 0.391876 | + | 0.339562i | ||||
\(43\) | −0.206862 | − | 0.704508i | −0.0315462 | − | 0.107436i | 0.942215 | − | 0.335009i | \(-0.108739\pi\) |
−0.973761 | + | 0.227572i | \(0.926921\pi\) | |||||||
\(44\) | −1.20636 | − | 2.64157i | −0.181866 | − | 0.398232i | ||||
\(45\) | −15.4054 | − | 4.81669i | −2.29649 | − | 0.718029i | ||||
\(46\) | −2.34808 | + | 7.53826i | −0.346206 | + | 1.11146i | ||||
\(47\) | 0.589562i | 0.0859964i | 0.999075 | + | 0.0429982i | \(0.0136910\pi\) | ||||
−0.999075 | + | 0.0429982i | \(0.986309\pi\) | |||||||
\(48\) | 14.2948 | − | 6.52824i | 2.06328 | − | 0.942270i | ||||
\(49\) | −6.32523 | + | 1.85726i | −0.903605 | + | 0.265322i | ||||
\(50\) | 2.04236 | + | 7.97423i | 0.288834 | + | 1.12773i | ||||
\(51\) | 3.43459 | + | 2.20728i | 0.480939 | + | 0.309081i | ||||
\(52\) | 1.73217 | − | 1.50093i | 0.240208 | − | 0.208142i | ||||
\(53\) | 6.64695 | − | 0.955686i | 0.913028 | − | 0.131274i | 0.330239 | − | 0.943897i | \(-0.392871\pi\) |
0.582789 | + | 0.812624i | \(0.301961\pi\) | |||||||
\(54\) | 21.3007 | + | 6.25446i | 2.89866 | + | 0.851124i | ||||
\(55\) | 8.81420 | − | 2.42200i | 1.18851 | − | 0.326582i | ||||
\(56\) | 0.192937 | − | 1.34191i | 0.0257823 | − | 0.179320i | ||||
\(57\) | −1.36581 | − | 0.623742i | −0.180905 | − | 0.0826167i | ||||
\(58\) | −5.98905 | − | 2.73511i | −0.786401 | − | 0.359137i | ||||
\(59\) | −0.734852 | + | 5.11101i | −0.0956696 | + | 0.665396i | 0.884398 | + | 0.466733i | \(0.154569\pi\) |
−0.980068 | + | 0.198663i | \(0.936340\pi\) | |||||||
\(60\) | −1.34540 | − | 4.89623i | −0.173691 | − | 0.632100i | ||||
\(61\) | −2.44333 | − | 0.717427i | −0.312836 | − | 0.0918571i | 0.121545 | − | 0.992586i | \(-0.461215\pi\) |
−0.434382 | + | 0.900729i | \(0.643033\pi\) | |||||||
\(62\) | −8.43012 | + | 1.21207i | −1.07063 | + | 0.153933i | ||||
\(63\) | 3.48343 | − | 3.01841i | 0.438871 | − | 0.380283i | ||||
\(64\) | −2.94303 | − | 1.89137i | −0.367879 | − | 0.236422i | ||||
\(65\) | 3.79404 | + | 6.13628i | 0.470593 | + | 0.761112i | ||||
\(66\) | −20.6420 | + | 6.06105i | −2.54086 | + | 0.746063i | ||||
\(67\) | −2.18587 | + | 0.998254i | −0.267047 | + | 0.121956i | −0.544439 | − | 0.838801i | \(-0.683257\pi\) |
0.277392 | + | 0.960757i | \(0.410530\pi\) | |||||||
\(68\) | 0.907297i | 0.110026i | ||||||||
\(69\) | 13.8390 | + | 6.59584i | 1.66602 | + | 0.794046i | ||||
\(70\) | −2.24355 | − | 0.701475i | −0.268155 | − | 0.0838423i | ||||
\(71\) | −3.46453 | − | 7.58626i | −0.411164 | − | 0.900323i | −0.996015 | − | 0.0891826i | \(-0.971575\pi\) |
0.584852 | − | 0.811140i | \(-0.301153\pi\) | |||||||
\(72\) | −4.31771 | − | 14.7048i | −0.508847 | − | 1.73297i | ||||
\(73\) | −0.557471 | − | 0.483051i | −0.0652470 | − | 0.0565369i | 0.621627 | − | 0.783314i | \(-0.286472\pi\) |
−0.686874 | + | 0.726777i | \(0.741018\pi\) | |||||||
\(74\) | −13.2397 | − | 8.50861i | −1.53908 | − | 0.989106i | ||||
\(75\) | 15.8901 | − | 1.72173i | 1.83483 | − | 0.198808i | ||||
\(76\) | −0.0474869 | − | 0.330279i | −0.00544712 | − | 0.0378856i | ||||
\(77\) | −0.735411 | + | 2.50458i | −0.0838078 | + | 0.285423i | ||||
\(78\) | −9.17984 | − | 14.2841i | −1.03941 | − | 1.61736i | ||||
\(79\) | 2.33484 | − | 16.2392i | 0.262691 | − | 1.82705i | −0.249727 | − | 0.968316i | \(-0.580341\pi\) |
0.512418 | − | 0.858736i | \(-0.328750\pi\) | |||||||
\(80\) | −7.34248 | + | 8.18103i | −0.820914 | + | 0.914667i | ||||
\(81\) | 8.91062 | − | 19.5115i | 0.990069 | − | 2.16795i | ||||
\(82\) | 14.2752 | + | 2.05247i | 1.57643 | + | 0.226657i | ||||
\(83\) | 5.64215 | + | 8.77936i | 0.619307 | + | 0.963660i | 0.999253 | + | 0.0386517i | \(0.0123063\pi\) |
−0.379946 | + | 0.925009i | \(0.624057\pi\) | |||||||
\(84\) | 1.39128 | + | 0.408516i | 0.151801 | + | 0.0445727i | ||||
\(85\) | −2.81931 | − | 0.455656i | −0.305797 | − | 0.0494228i | ||||
\(86\) | −0.791605 | − | 0.913560i | −0.0853609 | − | 0.0985118i | ||||
\(87\) | −6.91157 | + | 10.7546i | −0.740998 | + | 1.15302i | ||||
\(88\) | 6.55931 | + | 5.68368i | 0.699225 | + | 0.605882i | ||||
\(89\) | 5.75334 | − | 1.68933i | 0.609853 | − | 0.179069i | 0.0377997 | − | 0.999285i | \(-0.487965\pi\) |
0.572054 | + | 0.820216i | \(0.306147\pi\) | |||||||
\(90\) | −26.3644 | + | 3.32261i | −2.77906 | + | 0.350234i | ||||
\(91\) | −2.06020 | −0.215967 | ||||||||
\(92\) | 0.429603 | + | 3.37968i | 0.0447892 | + | 0.352356i | ||||
\(93\) | 16.5368i | 1.71479i | ||||||||
\(94\) | 0.403206 | + | 0.882897i | 0.0415875 | + | 0.0910639i | ||||
\(95\) | 1.05015 | + | 0.0183104i | 0.107743 | + | 0.00187860i | ||||
\(96\) | 8.05365 | − | 9.29441i | 0.821972 | − | 0.948607i | ||||
\(97\) | 3.48701 | − | 5.42589i | 0.354052 | − | 0.550916i | −0.617852 | − | 0.786295i | \(-0.711997\pi\) |
0.971904 | + | 0.235379i | \(0.0756331\pi\) | |||||||
\(98\) | −8.20215 | + | 7.10721i | −0.828543 | + | 0.717936i | ||||
\(99\) | 4.19947 | + | 29.2080i | 0.422063 | + | 2.93551i | ||||
\(100\) | 2.23101 | + | 2.76381i | 0.223101 | + | 0.276381i | ||||
\(101\) | 10.7453 | − | 6.90556i | 1.06919 | − | 0.687129i | 0.117157 | − | 0.993113i | \(-0.462622\pi\) |
0.952036 | + | 0.305985i | \(0.0989857\pi\) | |||||||
\(102\) | 6.65305 | + | 0.956564i | 0.658750 | + | 0.0947139i | ||||
\(103\) | −2.33053 | − | 1.06432i | −0.229634 | − | 0.104870i | 0.297276 | − | 0.954792i | \(-0.403922\pi\) |
−0.526909 | + | 0.849921i | \(0.676649\pi\) | |||||||
\(104\) | −2.84563 | + | 6.23106i | −0.279037 | + | 0.611006i | ||||
\(105\) | −1.96813 | + | 4.11806i | −0.192070 | + | 0.401881i | ||||
\(106\) | 9.30052 | − | 5.97708i | 0.903347 | − | 0.580546i | ||||
\(107\) | 0.764393 | − | 2.60328i | 0.0738967 | − | 0.251669i | −0.914257 | − | 0.405134i | \(-0.867225\pi\) |
0.988154 | + | 0.153465i | \(0.0490432\pi\) | |||||||
\(108\) | 9.48170 | − | 1.36326i | 0.912377 | − | 0.131180i | ||||
\(109\) | −4.87104 | − | 5.62148i | −0.466561 | − | 0.538440i | 0.472891 | − | 0.881121i | \(-0.343210\pi\) |
−0.939452 | + | 0.342681i | \(0.888665\pi\) | |||||||
\(110\) | 11.5433 | − | 9.65516i | 1.10061 | − | 0.920583i | ||||
\(111\) | −20.0113 | + | 23.0942i | −1.89939 | + | 2.19201i | ||||
\(112\) | −0.884399 | − | 3.01199i | −0.0835679 | − | 0.284606i | ||||
\(113\) | 13.6649 | − | 6.24056i | 1.28549 | − | 0.587063i | 0.348790 | − | 0.937201i | \(-0.386593\pi\) |
0.936698 | + | 0.350138i | \(0.113865\pi\) | |||||||
\(114\) | −2.47194 | −0.231519 | ||||||||
\(115\) | −10.7177 | − | 0.362380i | −0.999429 | − | 0.0337921i | ||||
\(116\) | −2.84098 | −0.263779 | ||||||||
\(117\) | −21.1849 | + | 9.67480i | −1.95854 | + | 0.894436i | ||||
\(118\) | 2.39498 | + | 8.15655i | 0.220476 | + | 0.750872i | ||||
\(119\) | 0.534066 | − | 0.616345i | 0.0489578 | − | 0.0565003i | ||||
\(120\) | 9.73660 | + | 11.6406i | 0.888826 | + | 1.06264i | ||||
\(121\) | −3.74006 | − | 4.31626i | −0.340006 | − | 0.392387i | ||||
\(122\) | −4.14966 | + | 0.596631i | −0.375693 | + | 0.0540164i | ||||
\(123\) | 7.88930 | − | 26.8685i | 0.711354 | − | 2.42265i | ||||
\(124\) | −3.09158 | + | 1.98684i | −0.277632 | + | 0.178423i | ||||
\(125\) | −9.70864 | + | 5.54457i | −0.868367 | + | 0.495922i | ||||
\(126\) | 3.15229 | − | 6.90255i | 0.280828 | − | 0.614928i | ||||
\(127\) | 8.30599 | + | 3.79322i | 0.737038 | + | 0.336594i | 0.748316 | − | 0.663343i | \(-0.230863\pi\) |
−0.0112781 | + | 0.999936i | \(0.503590\pi\) | |||||||
\(128\) | −13.3171 | − | 1.91471i | −1.17707 | − | 0.169238i | ||||
\(129\) | −1.97452 | + | 1.26895i | −0.173847 | + | 0.111725i | ||||
\(130\) | 9.87841 | + | 6.59460i | 0.866394 | + | 0.578385i | ||||
\(131\) | 1.86945 | + | 13.0023i | 0.163335 | + | 1.13602i | 0.892292 | + | 0.451458i | \(0.149096\pi\) |
−0.728958 | + | 0.684559i | \(0.759995\pi\) | |||||||
\(132\) | −7.01561 | + | 6.07906i | −0.610630 | + | 0.529114i | ||||
\(133\) | −0.162155 | + | 0.252318i | −0.0140606 | + | 0.0218787i | ||||
\(134\) | −2.59074 | + | 2.98987i | −0.223806 | + | 0.258285i | ||||
\(135\) | −0.525657 | + | 30.1478i | −0.0452414 | + | 2.59471i | ||||
\(136\) | −1.12646 | − | 2.46660i | −0.0965932 | − | 0.211510i | ||||
\(137\) | 14.7844i | 1.26311i | 0.775329 | + | 0.631557i | \(0.217584\pi\) | ||||
−0.775329 | + | 0.631557i | \(0.782416\pi\) | |||||||
\(138\) | 25.2355 | + | 0.412999i | 2.14819 | + | 0.0351568i | ||||
\(139\) | 4.73976 | 0.402022 | 0.201011 | − | 0.979589i | \(-0.435577\pi\) | ||||
0.201011 | + | 0.979589i | \(0.435577\pi\) | |||||||
\(140\) | −1.00634 | + | 0.126825i | −0.0850511 | + | 0.0107187i | ||||
\(141\) | 1.80826 | − | 0.530954i | 0.152283 | − | 0.0447144i | ||||
\(142\) | −10.3766 | − | 8.99137i | −0.870785 | − | 0.754539i | ||||
\(143\) | 7.13071 | − | 11.0956i | 0.596300 | − | 0.927861i | ||||
\(144\) | −23.2387 | − | 26.8189i | −1.93656 | − | 2.23491i | ||||
\(145\) | 1.42678 | − | 8.82800i | 0.118487 | − | 0.733126i | ||||
\(146\) | −1.16520 | − | 0.342134i | −0.0964328 | − | 0.0283152i | ||||
\(147\) | 11.3929 | + | 17.7277i | 0.939671 | + | 1.46216i | ||||
\(148\) | −6.72177 | − | 0.966444i | −0.552526 | − | 0.0794412i | ||||
\(149\) | −6.46275 | + | 14.1514i | −0.529449 | + | 1.15933i | 0.436287 | + | 0.899807i | \(0.356293\pi\) |
−0.965737 | + | 0.259524i | \(0.916434\pi\) | |||||||
\(150\) | 22.6187 | − | 13.4457i | 1.84681 | − | 1.09784i | ||||
\(151\) | −0.120574 | + | 0.838607i | −0.00981214 | + | 0.0682449i | −0.994139 | − | 0.108108i | \(-0.965521\pi\) |
0.984327 | + | 0.176353i | \(0.0564299\pi\) | |||||||
\(152\) | 0.539159 | + | 0.838948i | 0.0437316 | + | 0.0680477i | ||||
\(153\) | 2.59737 | − | 8.84584i | 0.209985 | − | 0.715144i | ||||
\(154\) | 0.611587 | + | 4.25368i | 0.0492831 | + | 0.342772i | ||||
\(155\) | −4.62122 | − | 10.6045i | −0.371186 | − | 0.851775i | ||||
\(156\) | −6.16354 | − | 3.96106i | −0.493478 | − | 0.317139i | ||||
\(157\) | −6.34230 | − | 5.49563i | −0.506171 | − | 0.438599i | 0.363964 | − | 0.931413i | \(-0.381423\pi\) |
−0.870135 | + | 0.492814i | \(0.835968\pi\) | |||||||
\(158\) | −7.60957 | − | 25.9158i | −0.605385 | − | 2.06175i | ||||
\(159\) | −8.91741 | − | 19.5264i | −0.707196 | − | 1.54854i | ||||
\(160\) | −2.56721 | + | 8.21078i | −0.202956 | + | 0.649119i | ||||
\(161\) | 1.69756 | − | 2.54876i | 0.133786 | − | 0.200871i | ||||
\(162\) | − | 35.3135i | − | 2.77449i | ||||||
\(163\) | −6.16937 | + | 2.81746i | −0.483222 | + | 0.220680i | −0.642104 | − | 0.766617i | \(-0.721938\pi\) |
0.158882 | + | 0.987298i | \(0.449211\pi\) | |||||||
\(164\) | 5.97096 | − | 1.75323i | 0.466254 | − | 0.136904i | ||||
\(165\) | −15.3666 | − | 24.8531i | −1.19629 | − | 1.93481i | ||||
\(166\) | 14.4537 | + | 9.28881i | 1.12182 | + | 0.720952i | ||||
\(167\) | −0.990001 | + | 0.857841i | −0.0766086 | + | 0.0663817i | −0.692323 | − | 0.721587i | \(-0.743413\pi\) |
0.615715 | + | 0.787969i | \(0.288867\pi\) | |||||||
\(168\) | −4.28956 | + | 0.616746i | −0.330947 | + | 0.0475830i | ||||
\(169\) | −2.48534 | − | 0.729761i | −0.191180 | − | 0.0561355i | ||||
\(170\) | −4.53368 | + | 1.24578i | −0.347718 | + | 0.0955471i | ||||
\(171\) | −0.482528 | + | 3.35605i | −0.0368998 | + | 0.256644i | ||||
\(172\) | −0.474462 | − | 0.216680i | −0.0361774 | − | 0.0165217i | ||||
\(173\) | 0.499912 | + | 0.228302i | 0.0380076 | + | 0.0173575i | 0.434328 | − | 0.900755i | \(-0.356986\pi\) |
−0.396321 | + | 0.918112i | \(0.629713\pi\) | |||||||
\(174\) | −2.99525 | + | 20.8324i | −0.227069 | + | 1.57930i | ||||
\(175\) | 0.111302 | − | 3.19076i | 0.00841364 | − | 0.241199i | ||||
\(176\) | 19.2827 | + | 5.66192i | 1.45349 | + | 0.426783i | ||||
\(177\) | 16.3380 | − | 2.34904i | 1.22804 | − | 0.176565i | ||||
\(178\) | 7.46056 | − | 6.46462i | 0.559193 | − | 0.484543i | ||||
\(179\) | 5.33217 | + | 3.42678i | 0.398545 | + | 0.256129i | 0.724527 | − | 0.689247i | \(-0.242058\pi\) |
−0.325982 | + | 0.945376i | \(0.605695\pi\) | |||||||
\(180\) | −9.75253 | + | 6.02996i | −0.726911 | + | 0.449447i | ||||
\(181\) | 2.45963 | − | 0.722214i | 0.182823 | − | 0.0536817i | −0.189039 | − | 0.981969i | \(-0.560537\pi\) |
0.371863 | + | 0.928288i | \(0.378719\pi\) | |||||||
\(182\) | −3.08525 | + | 1.40898i | −0.228694 | + | 0.104441i | ||||
\(183\) | 8.14013i | 0.601736i | ||||||||
\(184\) | −5.36399 | − | 8.65472i | −0.395439 | − | 0.638034i | ||||
\(185\) | 6.37886 | − | 20.4017i | 0.468983 | − | 1.49996i | ||||
\(186\) | 11.3097 | + | 24.7647i | 0.829266 | + | 1.81584i | ||||
\(187\) | 1.47095 | + | 5.00960i | 0.107567 | + | 0.366338i | ||||
\(188\) | 0.316518 | + | 0.274265i | 0.0230845 | + | 0.0200028i | ||||
\(189\) | −7.24358 | − | 4.65516i | −0.526893 | − | 0.338613i | ||||
\(190\) | 1.58517 | − | 0.690784i | 0.115000 | − | 0.0501147i | ||||
\(191\) | −2.77272 | − | 19.2847i | −0.200627 | − | 1.39539i | −0.802430 | − | 0.596747i | \(-0.796460\pi\) |
0.601803 | − | 0.798645i | \(-0.294449\pi\) | |||||||
\(192\) | −3.15062 | + | 10.7300i | −0.227377 | + | 0.774373i | ||||
\(193\) | −6.39108 | − | 9.94471i | −0.460040 | − | 0.715836i | 0.531296 | − | 0.847186i | \(-0.321705\pi\) |
−0.991336 | + | 0.131350i | \(0.958069\pi\) | |||||||
\(194\) | 1.51116 | − | 10.5103i | 0.108495 | − | 0.754598i | ||||
\(195\) | 15.4039 | − | 17.1631i | 1.10310 | − | 1.22908i | ||||
\(196\) | −1.94540 | + | 4.25983i | −0.138957 | + | 0.304274i | ||||
\(197\) | 12.5674 | + | 1.80693i | 0.895393 | + | 0.128738i | 0.574622 | − | 0.818419i | \(-0.305149\pi\) |
0.320771 | + | 0.947157i | \(0.396058\pi\) | |||||||
\(198\) | 26.2645 | + | 40.8683i | 1.86653 | + | 2.90438i | ||||
\(199\) | 15.5381 | + | 4.56239i | 1.10147 | + | 0.323419i | 0.781434 | − | 0.623988i | \(-0.214488\pi\) |
0.320031 | + | 0.947407i | \(0.396307\pi\) | |||||||
\(200\) | −9.49672 | − | 4.74385i | −0.671520 | − | 0.335441i | ||||
\(201\) | 5.03036 | + | 5.80534i | 0.354814 | + | 0.409477i | ||||
\(202\) | 11.3688 | − | 17.6902i | 0.799905 | − | 1.24468i | ||||
\(203\) | 1.92994 | + | 1.67230i | 0.135455 | + | 0.117373i | ||||
\(204\) | 2.78280 | − | 0.817104i | 0.194835 | − | 0.0572087i | ||||
\(205\) | 2.44926 | + | 19.4345i | 0.171064 | + | 1.35737i | ||||
\(206\) | −4.21798 | −0.293880 | ||||||||
\(207\) | 5.48673 | − | 34.1806i | 0.381354 | − | 2.37572i | ||||
\(208\) | 15.8614i | 1.09979i | ||||||||
\(209\) | −0.797661 | − | 1.74663i | −0.0551754 | − | 0.120817i | ||||
\(210\) | −0.130997 | + | 7.51301i | −0.00903964 | + | 0.518447i | ||||
\(211\) | −16.9434 | + | 19.5537i | −1.16643 | + | 1.34613i | −0.239499 | + | 0.970897i | \(0.576983\pi\) |
−0.926930 | + | 0.375234i | \(0.877562\pi\) | |||||||
\(212\) | 2.57909 | − | 4.01314i | 0.177132 | − | 0.275624i | ||||
\(213\) | −20.1479 | + | 17.4583i | −1.38051 | + | 1.19622i | ||||
\(214\) | −0.635690 | − | 4.42132i | −0.0434548 | − | 0.302235i | ||||
\(215\) | 0.911586 | − | 1.36551i | 0.0621697 | − | 0.0931273i | ||||
\(216\) | −24.0847 | + | 15.4783i | −1.63875 | + | 1.05316i | ||||
\(217\) | 3.26970 | + | 0.470111i | 0.221961 | + | 0.0319132i | ||||
\(218\) | −11.1392 | − | 5.08710i | −0.754441 | − | 0.344542i | ||||
\(219\) | −0.979530 | + | 2.14487i | −0.0661905 | + | 0.144937i | ||||
\(220\) | 2.80008 | − | 5.85880i | 0.188781 | − | 0.395001i | ||||
\(221\) | −3.46660 | + | 2.22785i | −0.233189 | + | 0.149861i | ||||
\(222\) | −14.1735 | + | 48.2706i | −0.951265 | + | 3.23971i | ||||
\(223\) | −2.46883 | + | 0.354964i | −0.165325 | + | 0.0237701i | −0.224480 | − | 0.974479i | \(-0.572068\pi\) |
0.0591553 | + | 0.998249i | \(0.481159\pi\) | |||||||
\(224\) | −1.60876 | − | 1.85660i | −0.107490 | − | 0.124050i | ||||
\(225\) | −13.8395 | − | 33.3331i | −0.922633 | − | 2.22221i | ||||
\(226\) | 16.1959 | − | 18.6911i | 1.07734 | − | 1.24331i | ||||
\(227\) | −1.51570 | − | 5.16201i | −0.100601 | − | 0.342615i | 0.893776 | − | 0.448513i | \(-0.148046\pi\) |
−0.994377 | + | 0.105899i | \(0.966228\pi\) | |||||||
\(228\) | −0.970244 | + | 0.443095i | −0.0642560 | + | 0.0293447i | ||||
\(229\) | 9.00062 | 0.594778 | 0.297389 | − | 0.954756i | \(-0.403884\pi\) | ||||
0.297389 | + | 0.954756i | \(0.403884\pi\) | |||||||
\(230\) | −16.2981 | + | 6.78722i | −1.07466 | + | 0.447536i | ||||
\(231\) | 8.34419 | 0.549007 | ||||||||
\(232\) | 7.72358 | − | 3.52724i | 0.507078 | − | 0.231575i | ||||
\(233\) | 1.45343 | + | 4.94991i | 0.0952171 | + | 0.324280i | 0.993303 | − | 0.115541i | \(-0.0368602\pi\) |
−0.898086 | + | 0.439821i | \(0.855042\pi\) | |||||||
\(234\) | −25.1087 | + | 28.9770i | −1.64141 | + | 1.89428i | ||||
\(235\) | −1.01120 | + | 0.845803i | −0.0659636 | + | 0.0551741i | ||||
\(236\) | 2.40210 | + | 2.77217i | 0.156363 | + | 0.180453i | ||||
\(237\) | −51.9106 | + | 7.46361i | −3.37195 | + | 0.484814i | ||||
\(238\) | 0.378267 | − | 1.28826i | 0.0245194 | − | 0.0835054i | ||||
\(239\) | 3.60018 | − | 2.31369i | 0.232876 | − | 0.149660i | −0.418999 | − | 0.907987i | \(-0.637619\pi\) |
0.651875 | + | 0.758326i | \(0.273983\pi\) | |||||||
\(240\) | 31.7049 | + | 15.1526i | 2.04654 | + | 0.978097i | ||||
\(241\) | −8.85400 | + | 19.3876i | −0.570336 | + | 1.24886i | 0.376282 | + | 0.926505i | \(0.377202\pi\) |
−0.946618 | + | 0.322357i | \(0.895525\pi\) | |||||||
\(242\) | −8.55285 | − | 3.90595i | −0.549798 | − | 0.251084i | ||||
\(243\) | −27.8274 | − | 4.00097i | −1.78513 | − | 0.256663i | ||||
\(244\) | −1.52181 | + | 0.978006i | −0.0974237 | + | 0.0626104i | ||||
\(245\) | −12.2599 | − | 8.18443i | −0.783256 | − | 0.522884i | ||||
\(246\) | −6.56095 | − | 45.6324i | −0.418311 | − | 2.90942i | ||||
\(247\) | 1.14533 | − | 0.992432i | 0.0728754 | − | 0.0631469i | ||||
\(248\) | 5.93809 | − | 9.23985i | 0.377069 | − | 0.586731i | ||||
\(249\) | 21.8462 | − | 25.2119i | 1.38445 | − | 1.59774i | ||||
\(250\) | −10.7472 | + | 14.9431i | −0.679712 | + | 0.945084i | ||||
\(251\) | −6.68285 | − | 14.6334i | −0.421818 | − | 0.923653i | −0.994584 | − | 0.103934i | \(-0.966857\pi\) |
0.572766 | − | 0.819719i | \(-0.305870\pi\) | |||||||
\(252\) | − | 3.27432i | − | 0.206263i | ||||||
\(253\) | 7.85133 | + | 17.9643i | 0.493609 | + | 1.12940i | ||||
\(254\) | 15.0328 | 0.943245 | ||||||||
\(255\) | 1.14149 | + | 9.05757i | 0.0714830 | + | 0.567207i | ||||
\(256\) | −14.5391 | + | 4.26907i | −0.908694 | + | 0.266817i | ||||
\(257\) | 15.5654 | + | 13.4875i | 0.970944 | + | 0.841328i | 0.987353 | − | 0.158538i | \(-0.0506779\pi\) |
−0.0164089 | + | 0.999865i | \(0.505223\pi\) | |||||||
\(258\) | −2.08910 | + | 3.25070i | −0.130062 | + | 0.202380i | ||||
\(259\) | 3.99735 | + | 4.61319i | 0.248383 | + | 0.286650i | ||||
\(260\) | 5.05938 | + | 0.817695i | 0.313770 | + | 0.0507113i | ||||
\(261\) | 27.6987 | + | 8.13306i | 1.71450 | + | 0.503424i | ||||
\(262\) | 11.6920 | + | 18.1931i | 0.722332 | + | 1.12397i | ||||
\(263\) | −12.8132 | − | 1.84226i | −0.790094 | − | 0.113598i | −0.264558 | − | 0.964370i | \(-0.585226\pi\) |
−0.525536 | + | 0.850771i | \(0.676135\pi\) | |||||||
\(264\) | 11.5253 | − | 25.2370i | 0.709336 | − | 1.55323i | ||||
\(265\) | 11.1751 | + | 10.0296i | 0.686480 | + | 0.616116i | ||||
\(266\) | −0.0702726 | + | 0.488757i | −0.00430869 | + | 0.0299676i | ||||
\(267\) | −10.3628 | − | 16.1249i | −0.634195 | − | 0.986827i | ||||
\(268\) | −0.480937 | + | 1.63792i | −0.0293779 | + | 0.100052i | ||||
\(269\) | 1.02480 | + | 7.12761i | 0.0624829 | + | 0.434578i | 0.996918 | + | 0.0784455i | \(0.0249957\pi\) |
−0.934436 | + | 0.356132i | \(0.884095\pi\) | |||||||
\(270\) | 19.8311 | + | 45.5074i | 1.20689 | + | 2.76949i | ||||
\(271\) | −9.71000 | − | 6.24024i | −0.589840 | − | 0.379067i | 0.211409 | − | 0.977398i | \(-0.432195\pi\) |
−0.801250 | + | 0.598330i | \(0.795831\pi\) | |||||||
\(272\) | −4.74524 | − | 4.11177i | −0.287722 | − | 0.249313i | ||||
\(273\) | 1.85540 | + | 6.31890i | 0.112294 | + | 0.382437i | ||||
\(274\) | 10.1111 | + | 22.1403i | 0.610837 | + | 1.33755i | ||||
\(275\) | 16.7993 | + | 11.6433i | 1.01303 | + | 0.702114i | ||||
\(276\) | 9.97903 | − | 4.36136i | 0.600667 | − | 0.262523i | ||||
\(277\) | 22.2304i | 1.33570i | 0.744298 | + | 0.667848i | \(0.232784\pi\) | ||||
−0.744298 | + | 0.667848i | \(0.767216\pi\) | |||||||
\(278\) | 7.09803 | − | 3.24156i | 0.425711 | − | 0.194416i | ||||
\(279\) | 35.8297 | − | 10.5206i | 2.14507 | − | 0.629849i | ||||
\(280\) | 2.57840 | − | 1.59422i | 0.154089 | − | 0.0952727i | ||||
\(281\) | −20.7548 | − | 13.3383i | −1.23813 | − | 0.795697i | −0.252991 | − | 0.967469i | \(-0.581414\pi\) |
−0.985137 | + | 0.171772i | \(0.945051\pi\) | |||||||
\(282\) | 2.34484 | − | 2.03182i | 0.139633 | − | 0.120993i | ||||
\(283\) | −0.360630 | + | 0.0518507i | −0.0214372 | + | 0.00308220i | −0.153025 | − | 0.988222i | \(-0.548902\pi\) |
0.131588 | + | 0.991305i | \(0.457992\pi\) | |||||||
\(284\) | −5.68454 | − | 1.66913i | −0.337316 | − | 0.0990448i | ||||
\(285\) | −0.889595 | − | 3.23744i | −0.0526951 | − | 0.191769i | ||||
\(286\) | 3.09022 | − | 21.4930i | 0.182729 | − | 1.27091i | ||||
\(287\) | −5.08821 | − | 2.32371i | −0.300347 | − | 0.137164i | ||||
\(288\) | −25.2615 | − | 11.5365i | −1.48855 | − | 0.679796i | ||||
\(289\) | −2.18720 | + | 15.2123i | −0.128659 | + | 0.894844i | ||||
\(290\) | −3.90087 | − | 14.1962i | −0.229067 | − | 0.833627i | ||||
\(291\) | −19.7823 | − | 5.80861i | −1.15966 | − | 0.340507i | ||||
\(292\) | −0.518673 | + | 0.0745739i | −0.0303530 | + | 0.00436410i | ||||
\(293\) | 16.3635 | − | 14.1791i | 0.955967 | − | 0.828350i | −0.0292653 | − | 0.999572i | \(-0.509317\pi\) |
0.985233 | + | 0.171221i | \(0.0547713\pi\) | |||||||
\(294\) | 29.1856 | + | 18.7564i | 1.70214 | + | 1.09390i | ||||
\(295\) | −9.82053 | + | 6.07200i | −0.571773 | + | 0.353526i | ||||
\(296\) | 19.4739 | − | 5.71805i | 1.13190 | − | 0.332355i | ||||
\(297\) | 50.1426 | − | 22.8994i | 2.90957 | − | 1.32876i | ||||
\(298\) | 25.6124i | 1.48369i | ||||||||
\(299\) | −11.8582 | + | 9.94016i | −0.685778 | + | 0.574855i | ||||
\(300\) | 6.46775 | − | 9.33188i | 0.373416 | − | 0.538777i | ||||
\(301\) | 0.194767 | + | 0.426480i | 0.0112262 | + | 0.0245819i | ||||
\(302\) | 0.392965 | + | 1.33832i | 0.0226126 | + | 0.0770115i | ||||
\(303\) | −30.8574 | − | 26.7381i | −1.77271 | − | 1.53606i | ||||
\(304\) | 1.94259 | + | 1.24843i | 0.111415 | + | 0.0716022i | ||||
\(305\) | −2.27476 | − | 5.21999i | −0.130252 | − | 0.298896i | ||||
\(306\) | −2.16004 | − | 15.0234i | −0.123482 | − | 0.858833i | ||||
\(307\) | 4.30546 | − | 14.6631i | 0.245726 | − | 0.836865i | −0.740584 | − | 0.671964i | \(-0.765451\pi\) |
0.986310 | − | 0.164902i | \(-0.0527307\pi\) | |||||||
\(308\) | 1.00252 | + | 1.55995i | 0.0571240 | + | 0.0888867i | ||||
\(309\) | −1.16555 | + | 8.10656i | −0.0663057 | + | 0.461166i | ||||
\(310\) | −14.1730 | − | 12.7203i | −0.804973 | − | 0.722464i | ||||
\(311\) | −1.44379 | + | 3.16146i | −0.0818697 | + | 0.179270i | −0.946140 | − | 0.323758i | \(-0.895054\pi\) |
0.864270 | + | 0.503028i | \(0.167781\pi\) | |||||||
\(312\) | 21.6743 | + | 3.11629i | 1.22706 | + | 0.176425i | ||||
\(313\) | −10.0505 | − | 15.6389i | −0.568090 | − | 0.883965i | 0.431748 | − | 0.901994i | \(-0.357897\pi\) |
−0.999837 | + | 0.0180296i | \(0.994261\pi\) | |||||||
\(314\) | −13.2564 | − | 3.89243i | −0.748102 | − | 0.219663i | ||||
\(315\) | 10.1745 | + | 1.64440i | 0.573270 | + | 0.0926516i | ||||
\(316\) | −7.63218 | − | 8.80801i | −0.429344 | − | 0.495489i | ||||
\(317\) | 9.89235 | − | 15.3928i | 0.555610 | − | 0.864545i | −0.443893 | − | 0.896080i | \(-0.646403\pi\) |
0.999503 | + | 0.0315344i | \(0.0100394\pi\) | |||||||
\(318\) | −26.7085 | − | 23.1430i | −1.49774 | − | 1.29780i | ||||
\(319\) | −15.6864 | + | 4.60594i | −0.878269 | + | 0.257883i | ||||
\(320\) | −0.978121 | − | 7.76124i | −0.0546787 | − | 0.433867i | ||||
\(321\) | −8.67303 | −0.484081 | ||||||||
\(322\) | 0.799057 | − | 4.97787i | 0.0445297 | − | 0.277406i | ||||
\(323\) | 0.599914i | 0.0333801i | ||||||||
\(324\) | −6.32995 | − | 13.8606i | −0.351664 | − | 0.770036i | ||||
\(325\) | −5.08177 | + | 15.3107i | −0.281886 | + | 0.849288i | ||||
\(326\) | −7.31205 | + | 8.43856i | −0.404977 | + | 0.467368i | ||||
\(327\) | −12.8550 | + | 20.0028i | −0.710884 | + | 1.10616i | ||||
\(328\) | −14.0561 | + | 12.1797i | −0.776118 | + | 0.672510i | ||||
\(329\) | −0.0535757 | − | 0.372627i | −0.00295373 | − | 0.0205436i | ||||
\(330\) | −40.0095 | − | 26.7094i | −2.20245 | − | 1.47030i | ||||
\(331\) | 6.26264 | − | 4.02475i | 0.344226 | − | 0.221220i | −0.357092 | − | 0.934069i | \(-0.616232\pi\) |
0.701318 | + | 0.712849i | \(0.252595\pi\) | |||||||
\(332\) | 7.33812 | + | 1.05506i | 0.402732 | + | 0.0579041i | ||||
\(333\) | 62.7683 | + | 28.6653i | 3.43968 | + | 1.57085i | ||||
\(334\) | −0.895891 | + | 1.96173i | −0.0490210 | + | 0.107341i | ||||
\(335\) | −4.84810 | − | 2.31704i | −0.264880 | − | 0.126593i | ||||
\(336\) | −8.44169 | + | 5.42514i | −0.460532 | + | 0.295966i | ||||
\(337\) | 4.42873 | − | 15.0829i | 0.241248 | − | 0.821616i | −0.746476 | − | 0.665412i | \(-0.768256\pi\) |
0.987725 | − | 0.156204i | \(-0.0499259\pi\) | |||||||
\(338\) | −4.22101 | + | 0.606889i | −0.229592 | + | 0.0330104i | ||||
\(339\) | −31.4472 | − | 36.2920i | −1.70798 | − | 1.97111i | ||||
\(340\) | −1.55618 | + | 1.30164i | −0.0843955 | + | 0.0705911i | ||||
\(341\) | −13.8489 | + | 15.9825i | −0.749959 | + | 0.865499i | ||||
\(342\) | 1.57262 | + | 5.35586i | 0.0850376 | + | 0.289612i | ||||
\(343\) | 7.89489 | − | 3.60548i | 0.426284 | − | 0.194677i | ||||
\(344\) | 1.55891 | 0.0840507 | ||||||||
\(345\) | 8.54079 | + | 33.1989i | 0.459821 | + | 1.78737i | ||||
\(346\) | 0.904780 | 0.0486413 | ||||||||
\(347\) | −31.0955 | + | 14.2008i | −1.66929 | + | 0.762341i | −0.669485 | + | 0.742825i | \(0.733485\pi\) |
−0.999810 | + | 0.0195162i | \(0.993787\pi\) | |||||||
\(348\) | 2.55857 | + | 8.71368i | 0.137154 | + | 0.467102i | ||||
\(349\) | 10.5863 | − | 12.2173i | 0.566673 | − | 0.653976i | −0.398012 | − | 0.917380i | \(-0.630300\pi\) |
0.964686 | + | 0.263404i | \(0.0848453\pi\) | |||||||
\(350\) | −2.01551 | − | 4.85445i | −0.107733 | − | 0.259481i | ||||
\(351\) | 28.4909 | + | 32.8802i | 1.52073 | + | 1.75502i | ||||
\(352\) | 15.5673 | − | 2.23824i | 0.829741 | − | 0.119299i | ||||
\(353\) | −9.41658 | + | 32.0699i | −0.501194 | + | 1.70691i | 0.187856 | + | 0.982197i | \(0.439846\pi\) |
−0.689050 | + | 0.724714i | \(0.741972\pi\) | |||||||
\(354\) | 22.8604 | − | 14.6915i | 1.21501 | − | 0.780842i | ||||
\(355\) | 8.04147 | − | 16.8258i | 0.426797 | − | 0.893018i | ||||
\(356\) | 1.76951 | − | 3.87468i | 0.0937838 | − | 0.205358i | ||||
\(357\) | −2.37139 | − | 1.08298i | −0.125507 | − | 0.0573172i | ||||
\(358\) | 10.3288 | + | 1.48505i | 0.545893 | + | 0.0784876i | ||||
\(359\) | −8.75079 | + | 5.62379i | −0.461849 | + | 0.296812i | −0.750798 | − | 0.660532i | \(-0.770331\pi\) |
0.288949 | + | 0.957345i | \(0.406694\pi\) | |||||||
\(360\) | 19.0270 | − | 28.5015i | 1.00281 | − | 1.50216i | ||||
\(361\) | 2.67258 | + | 18.5882i | 0.140662 | + | 0.978328i | ||||
\(362\) | 3.18949 | − | 2.76371i | 0.167636 | − | 0.145258i | ||||
\(363\) | −9.87029 | + | 15.3585i | −0.518056 | + | 0.806110i | ||||
\(364\) | −0.958406 | + | 1.10606i | −0.0502341 | + | 0.0579733i | ||||
\(365\) | 0.0287548 | − | 1.64916i | 0.00150509 | − | 0.0863211i | ||||
\(366\) | 5.56710 | + | 12.1902i | 0.290997 | + | 0.637195i | ||||
\(367\) | − | 22.9608i | − | 1.19854i | −0.800546 | − | 0.599271i | \(-0.795457\pi\) | ||
0.800546 | − | 0.599271i | \(-0.204543\pi\) | |||||||
\(368\) | −19.6229 | − | 13.0695i | −1.02291 | − | 0.681294i | ||||
\(369\) | −63.2340 | −3.29183 | ||||||||
\(370\) | −4.40022 | − | 34.9151i | −0.228757 | − | 1.81515i | ||||
\(371\) | −4.11430 | + | 1.20807i | −0.213604 | + | 0.0627197i | ||||
\(372\) | 8.87816 | + | 7.69297i | 0.460311 | + | 0.398862i | ||||
\(373\) | −6.33121 | + | 9.85156i | −0.327818 | + | 0.510094i | −0.965569 | − | 0.260148i | \(-0.916229\pi\) |
0.637751 | + | 0.770243i | \(0.279865\pi\) | |||||||
\(374\) | 5.62893 | + | 6.49613i | 0.291065 | + | 0.335907i | ||||
\(375\) | 25.7495 | + | 24.7843i | 1.32970 | + | 1.27986i | ||||
\(376\) | −1.20101 | − | 0.352649i | −0.0619374 | − | 0.0181865i | ||||
\(377\) | −6.97598 | − | 10.8548i | −0.359281 | − | 0.559053i | ||||
\(378\) | −14.0313 | − | 2.01740i | −0.721693 | − | 0.103764i | ||||
\(379\) | −6.40153 | + | 14.0174i | −0.328825 | + | 0.720026i | −0.999769 | − | 0.0214819i | \(-0.993162\pi\) |
0.670945 | + | 0.741508i | \(0.265889\pi\) | |||||||
\(380\) | 0.498361 | − | 0.555276i | 0.0255654 | − | 0.0284851i | ||||
\(381\) | 4.15401 | − | 28.8918i | 0.212816 | − | 1.48017i | ||||
\(382\) | −17.3412 | − | 26.9835i | −0.887255 | − | 1.38060i | ||||
\(383\) | −6.55633 | + | 22.3288i | −0.335013 | + | 1.14095i | 0.603976 | + | 0.797003i | \(0.293582\pi\) |
−0.938989 | + | 0.343947i | \(0.888236\pi\) | |||||||
\(384\) | 6.12059 | + | 42.5697i | 0.312340 | + | 2.17237i | ||||
\(385\) | −5.35084 | + | 2.33178i | −0.272704 | + | 0.118839i | ||||
\(386\) | −16.3722 | − | 10.5218i | −0.833324 | − | 0.535545i | ||||
\(387\) | 4.00555 | + | 3.47083i | 0.203613 | + | 0.176432i | ||||
\(388\) | −1.29084 | − | 4.39621i | −0.0655326 | − | 0.223184i | ||||
\(389\) | 3.51058 | + | 7.68709i | 0.177993 | + | 0.389751i | 0.977509 | − | 0.210894i | \(-0.0676376\pi\) |
−0.799516 | + | 0.600645i | \(0.794910\pi\) | |||||||
\(390\) | 11.3301 | − | 36.2375i | 0.573723 | − | 1.83496i | ||||
\(391\) | 0.100230 | − | 6.12439i | 0.00506887 | − | 0.309724i | ||||
\(392\) | − | 13.9962i | − | 0.706916i | ||||||
\(393\) | 38.1962 | − | 17.4436i | 1.92675 | − | 0.879915i | ||||
\(394\) | 20.0561 | − | 5.88901i | 1.01041 | − | 0.296684i | ||||
\(395\) | 31.2028 | − | 19.2926i | 1.56998 | − | 0.970714i | ||||
\(396\) | 17.6345 | + | 11.3330i | 0.886167 | + | 0.569505i | ||||
\(397\) | −1.67657 | + | 1.45276i | −0.0841449 | + | 0.0729120i | −0.695918 | − | 0.718122i | \(-0.745002\pi\) |
0.611773 | + | 0.791034i | \(0.290457\pi\) | |||||||
\(398\) | 26.3893 | − | 3.79421i | 1.32278 | − | 0.190186i | ||||
\(399\) | 0.919927 | + | 0.270115i | 0.0460540 | + | 0.0135227i | ||||
\(400\) | −24.5657 | − | 0.856913i | −1.22828 | − | 0.0428457i | ||||
\(401\) | −3.19654 | + | 22.2324i | −0.159628 | + | 1.11023i | 0.739693 | + | 0.672944i | \(0.234971\pi\) |
−0.899321 | + | 0.437290i | \(0.855938\pi\) | |||||||
\(402\) | 11.5035 | + | 5.25349i | 0.573744 | + | 0.262020i | ||||
\(403\) | −15.1826 | − | 6.93368i | −0.756301 | − | 0.345391i | ||||
\(404\) | 1.29131 | − | 8.98129i | 0.0642453 | − | 0.446836i | ||||
\(405\) | 46.2492 | − | 12.7085i | 2.29814 | − | 0.631492i | ||||
\(406\) | 4.03388 | + | 1.18445i | 0.200198 | + | 0.0587834i | ||||
\(407\) | −38.6808 | + | 5.56146i | −1.91734 | + | 0.275671i | ||||
\(408\) | −6.55093 | + | 5.67641i | −0.324319 | + | 0.281024i | ||||
\(409\) | 8.68745 | + | 5.58309i | 0.429567 | + | 0.276066i | 0.737506 | − | 0.675340i | \(-0.236003\pi\) |
−0.307940 | + | 0.951406i | \(0.599639\pi\) | |||||||
\(410\) | 16.9593 | + | 27.4291i | 0.837560 | + | 1.35463i | ||||
\(411\) | 45.3457 | − | 13.3147i | 2.23674 | − | 0.656765i | ||||
\(412\) | −1.65557 | + | 0.756072i | −0.0815639 | + | 0.0372490i | ||||
\(413\) | − | 3.29715i | − | 0.162242i | ||||||
\(414\) | −15.1597 | − | 54.9395i | −0.745060 | − | 2.70013i | ||||
\(415\) | −6.96377 | + | 22.2724i | −0.341838 | + | 1.09331i | ||||
\(416\) | 5.15650 | + | 11.2912i | 0.252818 | + | 0.553594i | ||||
\(417\) | −4.26859 | − | 14.5375i | −0.209034 | − | 0.711904i | ||||
\(418\) | −2.38907 | − | 2.07014i | −0.116853 | − | 0.101254i | ||||
\(419\) | 22.7196 | + | 14.6010i | 1.10993 | + | 0.713306i | 0.961277 | − | 0.275584i | \(-0.0888711\pi\) |
0.148649 | + | 0.988890i | \(0.452507\pi\) | |||||||
\(420\) | 1.29529 | + | 2.97236i | 0.0632037 | + | 0.145036i | ||||
\(421\) | 2.92388 | + | 20.3360i | 0.142501 | + | 0.991116i | 0.928087 | + | 0.372364i | \(0.121453\pi\) |
−0.785586 | + | 0.618753i | \(0.787638\pi\) | |||||||
\(422\) | −12.0006 | + | 40.8703i | −0.584180 | + | 1.98953i | ||||
\(423\) | −2.30080 | − | 3.58011i | −0.111868 | − | 0.174071i | ||||
\(424\) | −2.02905 | + | 14.1123i | −0.0985391 | + | 0.685355i | ||||
\(425\) | −3.26314 | − | 5.48932i | −0.158285 | − | 0.266271i | ||||
\(426\) | −18.2327 | + | 39.9240i | −0.883376 | + | 1.93432i | ||||
\(427\) | 1.60948 | + | 0.231409i | 0.0778883 | + | 0.0111986i | ||||
\(428\) | −1.04203 | − | 1.62143i | −0.0503685 | − | 0.0783749i | ||||
\(429\) | −40.4536 | − | 11.8782i | −1.95312 | − | 0.573487i | ||||
\(430\) | 0.431260 | − | 2.66836i | 0.0207972 | − | 0.128680i | ||||
\(431\) | 14.4502 | + | 16.6765i | 0.696044 | + | 0.803277i | 0.988212 | − | 0.153090i | \(-0.0489223\pi\) |
−0.292169 | + | 0.956367i | \(0.594377\pi\) | |||||||
\(432\) | −35.8401 | + | 55.7682i | −1.72436 | + | 2.68315i | ||||
\(433\) | 1.98896 | + | 1.72344i | 0.0955833 | + | 0.0828234i | 0.701342 | − | 0.712825i | \(-0.252585\pi\) |
−0.605758 | + | 0.795649i | \(0.707130\pi\) | |||||||
\(434\) | 5.21804 | − | 1.53216i | 0.250474 | − | 0.0735458i | ||||
\(435\) | −28.3616 | + | 3.57431i | −1.35984 | + | 0.171375i | ||||
\(436\) | −5.28402 | −0.253059 | ||||||||
\(437\) | 0.284058 | + | 2.23468i | 0.0135883 | + | 0.106899i | ||||
\(438\) | 3.88196i | 0.185487i | ||||||||
\(439\) | −11.0401 | − | 24.1745i | −0.526917 | − | 1.15379i | −0.966754 | − | 0.255710i | \(-0.917691\pi\) |
0.439837 | − | 0.898078i | \(-0.355036\pi\) | |||||||
\(440\) | −0.338334 | + | 19.4044i | −0.0161295 | + | 0.925067i | ||||
\(441\) | 31.1619 | − | 35.9627i | 1.48390 | − | 1.71251i | ||||
\(442\) | −3.66776 | + | 5.70715i | −0.174458 | + | 0.271461i | ||||
\(443\) | 12.2165 | − | 10.5857i | 0.580424 | − | 0.502940i | −0.314441 | − | 0.949277i | \(-0.601817\pi\) |
0.894865 | + | 0.446337i | \(0.147272\pi\) | |||||||
\(444\) | 3.08936 | + | 21.4869i | 0.146614 | + | 1.01973i | ||||
\(445\) | 11.1514 | + | 7.44444i | 0.528628 | + | 0.352900i | ||||
\(446\) | −3.45443 | + | 2.22003i | −0.163572 | + | 0.105121i | ||||
\(447\) | 49.2247 | + | 7.07744i | 2.32825 | + | 0.334752i | ||||
\(448\) | 2.03199 | + | 0.927981i | 0.0960027 | + | 0.0438430i | ||||
\(449\) | 11.5794 | − | 25.3553i | 0.546465 | − | 1.19659i | −0.411948 | − | 0.911207i | \(-0.635151\pi\) |
0.958413 | − | 0.285384i | \(-0.0921212\pi\) | |||||||
\(450\) | −43.5221 | − | 40.4530i | −2.05165 | − | 1.90697i | ||||
\(451\) | 30.1260 | − | 19.3608i | 1.41858 | − | 0.911665i | ||||
\(452\) | 3.00657 | − | 10.2394i | 0.141417 | − | 0.481622i | ||||
\(453\) | 2.68071 | − | 0.385428i | 0.125951 | − | 0.0181090i | ||||
\(454\) | −5.80018 | − | 6.69376i | −0.272216 | − | 0.314154i | ||||
\(455\) | −2.95562 | − | 3.53360i | −0.138562 | − | 0.165658i | ||||
\(456\) | 2.08760 | − | 2.40922i | 0.0977610 | − | 0.112822i | ||||
\(457\) | −8.91353 | − | 30.3567i | −0.416958 | − | 1.42003i | −0.853853 | − | 0.520515i | \(-0.825740\pi\) |
0.436895 | − | 0.899512i | \(-0.356078\pi\) | |||||||
\(458\) | 13.4789 | − | 6.15559i | 0.629826 | − | 0.287632i | ||||
\(459\) | −17.2224 | −0.803875 | ||||||||
\(460\) | −5.18043 | + | 5.58543i | −0.241539 | + | 0.260422i | ||||
\(461\) | −21.3245 | −0.993183 | −0.496591 | − | 0.867984i | \(-0.665415\pi\) | ||||
−0.496591 | + | 0.867984i | \(0.665415\pi\) | |||||||
\(462\) | 12.4958 | − | 5.70665i | 0.581359 | − | 0.265498i | ||||
\(463\) | −6.47788 | − | 22.0616i | −0.301053 | − | 1.02529i | −0.961588 | − | 0.274496i | \(-0.911489\pi\) |
0.660535 | − | 0.750795i | \(-0.270329\pi\) | |||||||
\(464\) | 12.8750 | − | 14.8586i | 0.597708 | − | 0.689792i | ||||
\(465\) | −28.3636 | + | 23.7243i | −1.31533 | + | 1.10019i | ||||
\(466\) | 5.56186 | + | 6.41873i | 0.257648 | + | 0.297342i | ||||
\(467\) | 39.2327 | − | 5.64081i | 1.81547 | − | 0.261026i | 0.850992 | − | 0.525179i | \(-0.176002\pi\) |
0.964481 | + | 0.264153i | \(0.0850925\pi\) | |||||||
\(468\) | −4.66111 | + | 15.8743i | −0.215460 | + | 0.733788i | ||||
\(469\) | 1.29085 | − | 0.829577i | 0.0596058 | − | 0.0383063i | ||||
\(470\) | −0.935875 | + | 1.95820i | −0.0431687 | + | 0.0903250i | ||||
\(471\) | −11.1440 | + | 24.4020i | −0.513490 | + | 1.12439i | ||||
\(472\) | −9.97222 | − | 4.55416i | −0.459008 | − | 0.209622i | ||||
\(473\) | −2.97102 | − | 0.427168i | −0.136608 | − | 0.0196412i | ||||
\(474\) | −72.6342 | + | 46.6792i | −3.33620 | + | 2.14404i | ||||
\(475\) | 1.47517 | + | 1.82746i | 0.0676854 | + | 0.0838497i | ||||
\(476\) | −0.0824496 | − | 0.573449i | −0.00377907 | − | 0.0262840i | ||||
\(477\) | −36.6339 | + | 31.7435i | −1.67735 | + | 1.45343i | ||||
\(478\) | 3.80909 | − | 5.92706i | 0.174224 | − | 0.271097i | ||||
\(479\) | 3.78663 | − | 4.37000i | 0.173015 | − | 0.199670i | −0.662619 | − | 0.748957i | \(-0.730555\pi\) |
0.835634 | + | 0.549286i | \(0.185100\pi\) | |||||||
\(480\) | 27.4956 | + | 0.479412i | 1.25500 | + | 0.0218821i | ||||
\(481\) | −12.8126 | − | 28.0556i | −0.584203 | − | 1.27923i | ||||
\(482\) | 35.0891i | 1.59827i | ||||||||
\(483\) | −9.34621 | − | 2.91124i | −0.425267 | − | 0.132466i | ||||
\(484\) | −4.05716 | −0.184416 | ||||||||
\(485\) | 14.3089 | − | 1.80330i | 0.649736 | − | 0.0818838i | ||||
\(486\) | −44.4092 | + | 13.0397i | −2.01444 | + | 0.591493i | ||||
\(487\) | 12.2109 | + | 10.5808i | 0.553327 | + | 0.479460i | 0.886066 | − | 0.463558i | \(-0.153428\pi\) |
−0.332740 | + | 0.943019i | \(0.607973\pi\) | |||||||
\(488\) | 2.92298 | − | 4.54824i | 0.132317 | − | 0.205889i | ||||
\(489\) | 14.1976 | + | 16.3849i | 0.642038 | + | 0.740951i | ||||
\(490\) | −23.9572 | − | 3.87195i | −1.08228 | − | 0.174917i | ||||
\(491\) | −24.1929 | − | 7.10367i | −1.09181 | − | 0.320584i | −0.314216 | − | 0.949351i | \(-0.601742\pi\) |
−0.777594 | + | 0.628767i | \(0.783560\pi\) | |||||||
\(492\) | −10.7548 | − | 16.7348i | −0.484864 | − | 0.754463i | ||||
\(493\) | 5.05581 | + | 0.726916i | 0.227702 | + | 0.0327387i | ||||
\(494\) | 1.03645 | − | 2.26951i | 0.0466322 | − | 0.102110i | ||||
\(495\) | −44.0722 | + | 49.1054i | −1.98090 | + | 2.20713i | ||||
\(496\) | 3.61938 | − | 25.1734i | 0.162515 | − | 1.13032i | ||||
\(497\) | 2.87912 | + | 4.47999i | 0.129146 | + | 0.200955i | ||||
\(498\) | 15.4732 | − | 52.6968i | 0.693370 | − | 2.36140i | ||||
\(499\) | 1.49388 | + | 10.3902i | 0.0668752 | + | 0.465128i | 0.995550 | + | 0.0942329i | \(0.0300398\pi\) |
−0.928675 | + | 0.370895i | \(0.879051\pi\) | |||||||
\(500\) | −1.53975 | + | 7.79163i | −0.0688598 | + | 0.348452i | ||||
\(501\) | 3.52270 | + | 2.26390i | 0.157383 | + | 0.101144i | ||||
\(502\) | −20.0158 | − | 17.3438i | −0.893349 | − | 0.774091i | ||||
\(503\) | 10.6465 | + | 36.2588i | 0.474705 | + | 1.61670i | 0.754265 | + | 0.656570i | \(0.227993\pi\) |
−0.279560 | + | 0.960128i | \(0.590189\pi\) | |||||||
\(504\) | 4.06525 | + | 8.90166i | 0.181081 | + | 0.396511i | ||||
\(505\) | 27.2597 | + | 8.52311i | 1.21304 | + | 0.379274i | ||||
\(506\) | 24.0436 | + | 21.5328i | 1.06887 | + | 0.957249i | ||||
\(507\) | 8.28009i | 0.367732i | ||||||||
\(508\) | 5.90043 | − | 2.69464i | 0.261789 | − | 0.119555i | ||||
\(509\) | 24.3006 | − | 7.13531i | 1.07711 | − | 0.316267i | 0.305386 | − | 0.952229i | \(-0.401215\pi\) |
0.771721 | + | 0.635962i | \(0.219396\pi\) | |||||||
\(510\) | 7.90398 | + | 12.7835i | 0.349994 | + | 0.566062i | ||||
\(511\) | 0.396242 | + | 0.254649i | 0.0175287 | + | 0.0112650i | ||||
\(512\) | 1.48238 | − | 1.28449i | 0.0655124 | − | 0.0567668i | ||||
\(513\) | 6.26940 | − | 0.901404i | 0.276801 | − | 0.0397979i | ||||
\(514\) | 32.5342 | + | 9.55290i | 1.43502 | + | 0.421360i | ||||
\(515\) | −1.51795 | − | 5.52418i | −0.0668890 | − | 0.243424i | ||||
\(516\) | −0.237289 | + | 1.65038i | −0.0104461 | + | 0.0726540i | ||||
\(517\) | 2.19230 | + | 1.00119i | 0.0964170 | + | 0.0440322i | ||||
\(518\) | 9.14122 | + | 4.17466i | 0.401642 | + | 0.183424i | ||||
\(519\) | 0.250017 | − | 1.73890i | 0.0109745 | − | 0.0763294i | ||||
\(520\) | −14.7698 | + | 4.05850i | −0.647699 | + | 0.177977i | ||||
\(521\) | 13.3860 | + | 3.93048i | 0.586451 | + | 0.172198i | 0.561480 | − | 0.827491i | \(-0.310232\pi\) |
0.0249715 | + | 0.999688i | \(0.492050\pi\) | |||||||
\(522\) | 47.0423 | − | 6.76367i | 2.05899 | − | 0.296038i | ||||
\(523\) | 7.42978 | − | 6.43794i | 0.324881 | − | 0.281511i | −0.477114 | − | 0.878841i | \(-0.658317\pi\) |
0.801996 | + | 0.597330i | \(0.203772\pi\) | |||||||
\(524\) | 7.85023 | + | 5.04504i | 0.342939 | + | 0.220394i | ||||
\(525\) | −9.88674 | + | 2.53220i | −0.431493 | + | 0.110514i | ||||
\(526\) | −20.4483 | + | 6.00416i | −0.891587 | + | 0.261794i | ||||
\(527\) | 6.01014 | − | 2.74474i | 0.261806 | − | 0.119563i | ||||
\(528\) | − | 64.2418i | − | 2.79577i | ||||||
\(529\) | −2.52653 | − | 22.8608i | −0.109849 | − | 0.993948i | ||||
\(530\) | 23.5946 | + | 7.37716i | 1.02488 | + | 0.320443i | ||||
\(531\) | −15.4836 | − | 33.9043i | −0.671931 | − | 1.47132i | ||||
\(532\) | 0.0600274 | + | 0.204435i | 0.00260252 | + | 0.00886337i | ||||
\(533\) | 21.3603 | + | 18.5088i | 0.925219 | + | 0.801707i | ||||
\(534\) | −26.5468 | − | 17.0606i | −1.14879 | − | 0.738283i | ||||
\(535\) | 5.56172 | − | 2.42368i | 0.240454 | − | 0.104785i | ||||
\(536\) | −0.726082 | − | 5.05001i | −0.0313620 | − | 0.218127i | ||||
\(537\) | 5.70828 | − | 19.4406i | 0.246330 | − | 0.838924i | ||||
\(538\) | 6.40931 | + | 9.97307i | 0.276325 | + | 0.429970i | ||||
\(539\) | −3.83521 | + | 26.6745i | −0.165194 | + | 1.14895i | ||||
\(540\) | 15.9410 | + | 14.3070i | 0.685990 | + | 0.615677i | ||||
\(541\) | 1.53156 | − | 3.35365i | 0.0658468 | − | 0.144184i | −0.873847 | − | 0.486201i | \(-0.838382\pi\) |
0.939694 | + | 0.342016i | \(0.111110\pi\) | |||||||
\(542\) | −18.8089 | − | 2.70432i | −0.807913 | − | 0.116160i | ||||
\(543\) | −4.43025 | − | 6.89361i | −0.190120 | − | 0.295833i | ||||
\(544\) | −4.71468 | − | 1.38435i | −0.202140 | − | 0.0593537i | ||||
\(545\) | 2.65370 | − | 16.4194i | 0.113672 | − | 0.703331i | ||||
\(546\) | 7.10009 | + | 8.19394i | 0.303856 | + | 0.350668i | ||||
\(547\) | −8.90580 | + | 13.8577i | −0.380785 | + | 0.592512i | −0.977755 | − | 0.209751i | \(-0.932735\pi\) |
0.596970 | + | 0.802263i | \(0.296371\pi\) | |||||||
\(548\) | 7.93730 | + | 6.87771i | 0.339065 | + | 0.293801i | ||||
\(549\) | 17.6369 | − | 5.17866i | 0.752725 | − | 0.221020i | ||||
\(550\) | 33.1206 | + | 5.94719i | 1.41227 | + | 0.253589i | ||||
\(551\) | −1.87849 | −0.0800263 | ||||||||
\(552\) | −21.7144 | + | 24.2465i | −0.924227 | + | 1.03200i | ||||
\(553\) | 10.4760i | 0.445486i | ||||||||
\(554\) | 15.2035 | + | 33.2911i | 0.645937 | + | 1.41440i | ||||
\(555\) | −68.3195 | − | 1.19122i | −2.90000 | − | 0.0505644i | ||||
\(556\) | 2.20495 | − | 2.54464i | 0.0935105 | − | 0.107917i | ||||
\(557\) | 17.0009 | − | 26.4538i | 0.720349 | − | 1.12089i | −0.267210 | − | 0.963638i | \(-0.586102\pi\) |
0.987559 | − | 0.157247i | \(-0.0502619\pi\) | |||||||
\(558\) | 46.4617 | − | 40.2593i | 1.96688 | − | 1.70431i | ||||
\(559\) | −0.337143 | − | 2.34488i | −0.0142596 | − | 0.0991779i | ||||
\(560\) | 3.89731 | − | 5.83799i | 0.164691 | − | 0.246700i | ||||
\(561\) | 14.0404 | − | 9.02322i | 0.592786 | − | 0.380961i | ||||
\(562\) | −40.2035 | − | 5.78039i | −1.69588 | − | 0.243831i | ||||
\(563\) | −36.1260 | − | 16.4982i | −1.52253 | − | 0.695315i | −0.533879 | − | 0.845561i | \(-0.679266\pi\) |
−0.988649 | + | 0.150246i | \(0.951993\pi\) | |||||||
\(564\) | 0.556153 | − | 1.21781i | 0.0234183 | − | 0.0512789i | ||||
\(565\) | 30.3078 | + | 14.4849i | 1.27506 | + | 0.609384i | ||||
\(566\) | −0.504599 | + | 0.324286i | −0.0212099 | + | 0.0136308i | ||||
\(567\) | −3.85879 | + | 13.1418i | −0.162054 | + | 0.551906i | ||||
\(568\) | 17.5265 | − | 2.51993i | 0.735395 | − | 0.105734i | ||||
\(569\) | 9.99749 | + | 11.5377i | 0.419116 | + | 0.483686i | 0.925568 | − | 0.378583i | \(-0.123588\pi\) |
−0.506451 | + | 0.862269i | \(0.669043\pi\) | |||||||
\(570\) | −3.54632 | − | 4.23982i | −0.148539 | − | 0.177587i | ||||
\(571\) | 17.3423 | − | 20.0140i | 0.725751 | − | 0.837561i | −0.266235 | − | 0.963908i | \(-0.585780\pi\) |
0.991986 | + | 0.126347i | \(0.0403253\pi\) | |||||||
\(572\) | −2.63969 | − | 8.98996i | −0.110371 | − | 0.375889i | ||||
\(573\) | −56.6517 | + | 25.8720i | −2.36666 | + | 1.08082i | ||||
\(574\) | −9.20904 | −0.384378 | ||||||||
\(575\) | −14.7544 | − | 18.9026i | −0.615299 | − | 0.788294i | ||||
\(576\) | 25.2527 | 1.05220 | ||||||||
\(577\) | 4.78684 | − | 2.18608i | 0.199279 | − | 0.0910076i | −0.313276 | − | 0.949662i | \(-0.601426\pi\) |
0.512555 | + | 0.858655i | \(0.328699\pi\) | |||||||
\(578\) | 7.12839 | + | 24.2771i | 0.296502 | + | 1.00979i | ||||
\(579\) | −24.7460 | + | 28.5584i | −1.02841 | + | 1.18685i | ||||
\(580\) | −4.07576 | − | 4.87280i | −0.169237 | − | 0.202332i | ||||
\(581\) | −4.36389 | − | 5.03620i | −0.181045 | − | 0.208937i | ||||
\(582\) | −33.5975 | + | 4.83060i | −1.39266 | + | 0.200235i | ||||
\(583\) | 7.73404 | − | 26.3397i | 0.320311 | − | 1.09088i | ||||
\(584\) | 1.31749 | − | 0.846700i | 0.0545182 | − | 0.0350367i | ||||
\(585\) | −46.9864 | − | 22.4561i | −1.94265 | − | 0.928444i | ||||
\(586\) | 14.8080 | − | 32.4250i | 0.611713 | − | 1.33946i | ||||
\(587\) | −22.8678 | − | 10.4434i | −0.943856 | − | 0.431045i | −0.116795 | − | 0.993156i | \(-0.537262\pi\) |
−0.827062 | + | 0.562111i | \(0.809989\pi\) | |||||||
\(588\) | 14.8175 | + | 2.13043i | 0.611063 | + | 0.0878576i | ||||
\(589\) | −2.04419 | + | 1.31372i | −0.0842292 | + | 0.0541308i | ||||
\(590\) | −10.5540 | + | 15.8095i | −0.434503 | + | 0.650865i | ||||
\(591\) | −5.77606 | − | 40.1734i | −0.237595 | − | 1.65251i | ||||
\(592\) | 35.5169 | − | 30.7756i | 1.45974 | − | 1.26487i | ||||
\(593\) | −3.35907 | + | 5.22681i | −0.137940 | + | 0.214640i | −0.903350 | − | 0.428904i | \(-0.858900\pi\) |
0.765410 | + | 0.643543i | \(0.222536\pi\) | |||||||
\(594\) | 59.4300 | − | 68.5859i | 2.43844 | − | 2.81411i | ||||
\(595\) | 1.82333 | + | 0.0317915i | 0.0747492 | + | 0.00130333i | ||||
\(596\) | 4.59102 | + | 10.0529i | 0.188056 | + | 0.411784i | ||||
\(597\) | − | 51.7662i | − | 2.11865i | ||||||
\(598\) | −10.9601 | + | 22.9958i | −0.448191 | + | 0.940368i | ||||
\(599\) | −21.7863 | −0.890164 | −0.445082 | − | 0.895490i | \(-0.646825\pi\) | ||||
−0.445082 | + | 0.895490i | \(0.646825\pi\) | |||||||
\(600\) | −5.99735 | + | 33.4000i | −0.244841 | + | 1.36355i | ||||
\(601\) | −14.7064 | + | 4.31819i | −0.599886 | + | 0.176143i | −0.567556 | − | 0.823335i | \(-0.692111\pi\) |
−0.0323303 | + | 0.999477i | \(0.510293\pi\) | |||||||
\(602\) | 0.583346 | + | 0.505472i | 0.0237754 | + | 0.0206015i | ||||
\(603\) | 9.37795 | − | 14.5924i | 0.381900 | − | 0.594247i | ||||
\(604\) | 0.394133 | + | 0.454854i | 0.0160370 | + | 0.0185077i | ||||
\(605\) | 2.03755 | − | 12.6071i | 0.0828383 | − | 0.512552i | ||||
\(606\) | −64.4968 | − | 18.9380i | −2.62000 | − | 0.769302i | ||||
\(607\) | 18.2962 | + | 28.4695i | 0.742621 | + | 1.15554i | 0.982775 | + | 0.184806i | \(0.0591658\pi\) |
−0.240154 | + | 0.970735i | \(0.577198\pi\) | |||||||
\(608\) | 1.78872 | + | 0.257179i | 0.0725420 | + | 0.0104300i | ||||
\(609\) | 3.39109 | − | 7.42544i | 0.137414 | − | 0.300894i | ||||
\(610\) | −6.97656 | − | 6.26146i | −0.282472 | − | 0.253519i | ||||
\(611\) | −0.270707 | + | 1.88281i | −0.0109516 | + | 0.0761702i | ||||
\(612\) | −3.54077 | − | 5.50955i | −0.143127 | − | 0.222710i | ||||
\(613\) | 0.962165 | − | 3.27683i | 0.0388615 | − | 0.132350i | −0.937778 | − | 0.347237i | \(-0.887120\pi\) |
0.976639 | + | 0.214887i | \(0.0689382\pi\) | |||||||
\(614\) | −3.58054 | − | 24.9032i | −0.144499 | − | 1.00501i | ||||
\(615\) | 57.4025 | − | 25.0148i | 2.31469 | − | 1.00869i | ||||
\(616\) | −4.66226 | − | 2.99625i | −0.187848 | − | 0.120722i | ||||
\(617\) | 22.5722 | + | 19.5589i | 0.908721 | + | 0.787412i | 0.977656 | − | 0.210210i | \(-0.0674146\pi\) |
−0.0689350 | + | 0.997621i | \(0.521960\pi\) | |||||||
\(618\) | 3.79868 | + | 12.9371i | 0.152805 | + | 0.520407i | ||||
\(619\) | 1.80206 | + | 3.94596i | 0.0724310 | + | 0.158602i | 0.942384 | − | 0.334533i | \(-0.108578\pi\) |
−0.869953 | + | 0.493134i | \(0.835851\pi\) | |||||||
\(620\) | −7.84306 | − | 2.45224i | −0.314985 | − | 0.0984841i | ||||
\(621\) | −64.1535 | + | 8.15478i | −2.57439 | + | 0.327240i | ||||
\(622\) | 5.72185i | 0.229425i | ||||||||
\(623\) | −3.48284 | + | 1.59056i | −0.139537 | + | 0.0637244i | ||||
\(624\) | 48.6492 | − | 14.2847i | 1.94753 | − | 0.571845i | ||||
\(625\) | −23.4382 | − | 8.69764i | −0.937530 | − | 0.347906i | ||||
\(626\) | −25.7467 | − | 16.5464i | −1.02905 | − | 0.661328i | ||||
\(627\) | −4.63879 | + | 4.01954i | −0.185256 | + | 0.160525i | ||||
\(628\) | −5.90089 | + | 0.848420i | −0.235471 | + | 0.0338557i | ||||
\(629\) | 11.7148 | + | 3.43977i | 0.467098 | + | 0.137152i | ||||
\(630\) | 16.3615 | − | 4.49587i | 0.651857 | − | 0.179120i | ||||
\(631\) | −0.273871 | + | 1.90481i | −0.0109026 | + | 0.0758293i | −0.994546 | − | 0.104296i | \(-0.966741\pi\) |
0.983644 | + | 0.180125i | \(0.0576502\pi\) | |||||||
\(632\) | 31.6847 | + | 14.4699i | 1.26035 | + | 0.575583i | ||||
\(633\) | 75.2328 | + | 34.3577i | 2.99024 | + | 1.36560i | ||||
\(634\) | 4.28702 | − | 29.8169i | 0.170259 | − | 1.18418i | ||||
\(635\) | 5.40998 | + | 19.6881i | 0.214688 | + | 0.781300i | ||||
\(636\) | −14.6315 | − | 4.29621i | −0.580179 | − | 0.170356i | ||||
\(637\) | −21.0529 | + | 3.02695i | −0.834145 | + | 0.119932i | ||||
\(638\) | −20.3411 | + | 17.6257i | −0.805311 | + | 0.697806i | ||||
\(639\) | 50.6441 | + | 32.5470i | 2.00345 | + | 1.28754i | ||||
\(640\) | −15.8210 | − | 25.5881i | −0.625381 | − | 1.01146i | ||||
\(641\) | −24.5825 | + | 7.21809i | −0.970952 | + | 0.285097i | −0.728485 | − | 0.685062i | \(-0.759775\pi\) |
−0.242468 | + | 0.970159i | \(0.577957\pi\) | |||||||
\(642\) | −12.9883 | + | 5.93155i | −0.512607 | + | 0.234100i | ||||
\(643\) | − | 18.0240i | − | 0.710797i | −0.934715 | − | 0.355399i | \(-0.884345\pi\) | ||
0.934715 | − | 0.355399i | \(-0.115655\pi\) | |||||||
\(644\) | −0.578651 | − | 2.09706i | −0.0228020 | − | 0.0826356i | ||||
\(645\) | −5.00918 | − | 1.56619i | −0.197236 | − | 0.0616686i | ||||
\(646\) | 0.410286 | + | 0.898401i | 0.0161425 | + | 0.0353471i | ||||
\(647\) | −3.62058 | − | 12.3305i | −0.142340 | − | 0.484764i | 0.857204 | − | 0.514977i | \(-0.172200\pi\) |
−0.999543 | + | 0.0302132i | \(0.990381\pi\) | |||||||
\(648\) | 34.4175 | + | 29.8230i | 1.35205 | + | 1.17156i | ||||
\(649\) | 17.7575 | + | 11.4120i | 0.697041 | + | 0.447961i | ||||
\(650\) | 2.86094 | + | 26.4041i | 0.112215 | + | 1.03565i | ||||
\(651\) | −1.50277 | − | 10.4520i | −0.0588981 | − | 0.409645i | ||||
\(652\) | −1.35739 | + | 4.62284i | −0.0531594 | + | 0.181044i | ||||
\(653\) | −15.9779 | − | 24.8621i | −0.625265 | − | 0.972931i | −0.998970 | − | 0.0453834i | \(-0.985549\pi\) |
0.373705 | − | 0.927548i | \(-0.378087\pi\) | |||||||
\(654\) | −5.57095 | + | 38.7468i | −0.217841 | + | 1.51512i | ||||
\(655\) | −19.6193 | + | 21.8599i | −0.766590 | + | 0.854139i | ||||
\(656\) | −17.8902 | + | 39.1741i | −0.698495 | + | 1.52949i | ||||
\(657\) | 5.27037 | + | 0.757765i | 0.205617 | + | 0.0295632i | ||||
\(658\) | −0.335075 | − | 0.521387i | −0.0130626 | − | 0.0203258i | ||||
\(659\) | −17.2790 | − | 5.07358i | −0.673096 | − | 0.197639i | −0.0727146 | − | 0.997353i | \(-0.523166\pi\) |
−0.600381 | + | 0.799714i | \(0.704984\pi\) | |||||||
\(660\) | −20.4915 | − | 3.31182i | −0.797629 | − | 0.128912i | ||||
\(661\) | 23.3762 | + | 26.9776i | 0.909230 | + | 1.04931i | 0.998578 | + | 0.0533064i | \(0.0169760\pi\) |
−0.0893487 | + | 0.996000i | \(0.528479\pi\) | |||||||
\(662\) | 6.62604 | − | 10.3103i | 0.257529 | − | 0.400722i | ||||
\(663\) | 9.95511 | + | 8.62616i | 0.386625 | + | 0.335012i | ||||
\(664\) | −21.2596 | + | 6.24237i | −0.825031 | + | 0.242251i | ||||
\(665\) | −0.665402 | + | 0.0838582i | −0.0258032 | + | 0.00325188i | ||||
\(666\) | 113.603 | 4.40203 | ||||||||
\(667\) | 19.1771 | + | 0.313848i | 0.742540 | + | 0.0121522i | ||||
\(668\) | 0.930571i | 0.0360049i | ||||||||
\(669\) | 3.31213 | + | 7.25255i | 0.128054 | + | 0.280400i | ||||
\(670\) | −8.84491 | − | 0.154220i | −0.341709 | − | 0.00595802i | ||||
\(671\) | −6.81701 | + | 7.86724i | −0.263168 | + | 0.303712i | ||||
\(672\) | −4.24562 | + | 6.60632i | −0.163778 | + | 0.254844i | ||||
\(673\) | 3.86306 | − | 3.34736i | 0.148910 | − | 0.129031i | −0.577220 | − | 0.816589i | \(-0.695863\pi\) |
0.726130 | + | 0.687557i | \(0.241317\pi\) | |||||||
\(674\) | −3.68305 | − | 25.6162i | −0.141866 | − | 0.986698i | ||||
\(675\) | −52.4631 | + | 42.3494i | −2.01930 | + | 1.63003i | ||||
\(676\) | −1.54797 | + | 0.994820i | −0.0595373 | + | 0.0382623i | ||||
\(677\) | −12.8777 | − | 1.85153i | −0.494930 | − | 0.0711601i | −0.109669 | − | 0.993968i | \(-0.534979\pi\) |
−0.385260 | + | 0.922808i | \(0.625888\pi\) | |||||||
\(678\) | −71.9140 | − | 32.8420i | −2.76184 | − | 1.26129i | ||||
\(679\) | −1.71086 | + | 3.74627i | −0.0656569 | + | 0.143769i | ||||
\(680\) | 2.61461 | − | 5.47074i | 0.100266 | − | 0.209793i | ||||
\(681\) | −14.4676 | + | 9.29773i | −0.554398 | + | 0.356290i | ||||
\(682\) | −9.80885 | + | 33.4059i | −0.375600 | + | 1.27918i | ||||
\(683\) | −50.3472 | + | 7.23884i | −1.92648 | + | 0.276986i | −0.996000 | − | 0.0893487i | \(-0.971521\pi\) |
−0.930483 | + | 0.366335i | \(0.880612\pi\) | |||||||
\(684\) | 1.57729 | + | 1.82030i | 0.0603094 | + | 0.0696007i | ||||
\(685\) | −25.3578 | + | 21.2101i | −0.968873 | + | 0.810396i | ||||
\(686\) | 9.35718 | − | 10.7988i | 0.357259 | − | 0.412298i | ||||
\(687\) | −8.10589 | − | 27.6061i | −0.309259 | − | 1.05324i | ||||
\(688\) | 3.28347 | − | 1.49951i | 0.125181 | − | 0.0571682i | ||||
\(689\) | 21.6663 | 0.825421 | ||||||||
\(690\) | 35.4953 | + | 43.8759i | 1.35128 | + | 1.67033i | ||||
\(691\) | 34.5692 | 1.31507 | 0.657536 | − | 0.753423i | \(-0.271599\pi\) | ||||
0.657536 | + | 0.753423i | \(0.271599\pi\) | |||||||
\(692\) | 0.355128 | − | 0.162182i | 0.0135000 | − | 0.00616522i | ||||
\(693\) | −5.30848 | − | 18.0790i | −0.201652 | − | 0.686765i | ||||
\(694\) | −36.8550 | + | 42.5329i | −1.39900 | + | 1.61453i | ||||
\(695\) | 6.79981 | + | 8.12954i | 0.257931 | + | 0.308371i | ||||
\(696\) | −17.7743 | − | 20.5127i | −0.673734 | − | 0.777531i | ||||
\(697\) | −11.0745 | + | 1.59227i | −0.419477 | + | 0.0603117i | ||||
\(698\) | 7.49806 | − | 25.5360i | 0.283806 | − | 0.966553i | ||||
\(699\) | 13.8731 | − | 8.91571i | 0.524729 | − | 0.337223i | ||||
\(700\) | −1.66125 | − | 1.54410i | −0.0627894 | − | 0.0583616i | ||||
\(701\) | 14.0335 | − | 30.7290i | 0.530037 | − | 1.16062i | −0.435461 | − | 0.900207i | \(-0.643415\pi\) |
0.965498 | − | 0.260411i | \(-0.0838580\pi\) | |||||||
\(702\) | 65.1536 | + | 29.7546i | 2.45906 | + | 1.12302i | ||||
\(703\) | −4.44450 | − | 0.639023i | −0.167628 | − | 0.0241012i | ||||
\(704\) | −12.0309 | + | 7.73181i | −0.453433 | + | 0.291404i | ||||
\(705\) | 3.50487 | + | 2.33977i | 0.132001 | + | 0.0881210i | ||||
\(706\) | 7.83108 | + | 54.4664i | 0.294727 | + | 2.04987i | ||||
\(707\) | −6.16391 | + | 5.34106i | −0.231818 | + | 0.200871i | ||||
\(708\) | 6.33931 | − | 9.86415i | 0.238246 | − | 0.370718i | ||||
\(709\) | 22.1310 | − | 25.5406i | 0.831148 | − | 0.959196i | −0.168501 | − | 0.985702i | \(-0.553893\pi\) |
0.999649 | + | 0.0265056i | \(0.00843798\pi\) | |||||||
\(710\) | 0.535232 | − | 30.6970i | 0.0200869 | − | 1.15204i | ||||
\(711\) | 49.1960 | + | 107.724i | 1.84499 | + | 4.03998i | ||||
\(712\) | 12.7308i | 0.477106i | ||||||||
\(713\) | 21.0881 | − | 13.0699i | 0.789757 | − | 0.489473i | ||||
\(714\) | −4.29193 | −0.160621 | ||||||||
\(715\) | 29.2609 | − | 3.68764i | 1.09429 | − | 0.137910i | ||||
\(716\) | 4.32027 | − | 1.26855i | 0.161456 | − | 0.0474078i | ||||
\(717\) | −10.3387 | − | 8.95854i | −0.386106 | − | 0.334563i | ||||
\(718\) | −9.25859 | + | 14.4066i | −0.345527 | + | 0.537651i | ||||
\(719\) | −8.64717 | − | 9.97936i | −0.322485 | − | 0.372167i | 0.571240 | − | 0.820783i | \(-0.306463\pi\) |
−0.893725 | + | 0.448616i | \(0.851917\pi\) | |||||||
\(720\) | 12.6602 | − | 78.3337i | 0.471819 | − | 2.91932i | ||||
\(721\) | 1.56971 | + | 0.460908i | 0.0584591 | + | 0.0171651i | ||||
\(722\) | 16.7150 | + | 26.0090i | 0.622066 | + | 0.967954i | ||||
\(723\) | 67.4381 | + | 9.69613i | 2.50805 | + | 0.360603i | ||||
\(724\) | 0.756490 | − | 1.65648i | 0.0281147 | − | 0.0615626i | ||||
\(725\) | 17.1885 | − | 10.2177i | 0.638365 | − | 0.379477i | ||||
\(726\) | −4.27746 | + | 29.7504i | −0.158752 | + | 1.10414i | ||||
\(727\) | 24.7010 | + | 38.4355i | 0.916110 | + | 1.42550i | 0.904931 | + | 0.425558i | \(0.139922\pi\) |
0.0111793 | + | 0.999938i | \(0.496441\pi\) | |||||||
\(728\) | 1.23232 | − | 4.19688i | 0.0456727 | − | 0.155547i | ||||
\(729\) | 3.63167 | + | 25.2588i | 0.134506 | + | 0.935512i | ||||
\(730\) | −1.08481 | − | 2.48937i | −0.0401507 | − | 0.0921356i | ||||
\(731\) | 0.788912 | + | 0.507003i | 0.0291789 | + | 0.0187522i | ||||
\(732\) | 4.37020 | + | 3.78680i | 0.161527 | + | 0.139964i | ||||
\(733\) | −13.8089 | − | 47.0288i | −0.510043 | − | 1.73705i | −0.662811 | − | 0.748786i | \(-0.730637\pi\) |
0.152768 | − | 0.988262i | \(-0.451181\pi\) | |||||||
\(734\) | −15.7030 | − | 34.3849i | −0.579610 | − | 1.26917i | ||||
\(735\) | −14.0616 | + | 44.9736i | −0.518669 | + | 1.65888i | ||||
\(736\) | −18.2176 | − | 2.92433i | −0.671511 | − | 0.107792i | ||||
\(737\) | 9.82343i | 0.361851i | ||||||||
\(738\) | −94.6960 | + | 43.2462i | −3.48581 | + | 1.59191i | ||||
\(739\) | −47.4263 | + | 13.9256i | −1.74461 | + | 0.512262i | −0.989649 | − | 0.143512i | \(-0.954160\pi\) |
−0.754957 | + | 0.655774i | \(0.772342\pi\) | |||||||
\(740\) | −7.98562 | − | 12.9155i | −0.293557 | − | 0.474784i | ||||
\(741\) | −4.07540 | − | 2.61910i | −0.149713 | − | 0.0962150i | ||||
\(742\) | −5.33516 | + | 4.62294i | −0.195860 | + | 0.169713i | ||||
\(743\) | 5.02759 | − | 0.722859i | 0.184444 | − | 0.0265191i | −0.0494736 | − | 0.998775i | \(-0.515754\pi\) |
0.233918 | + | 0.972256i | \(0.424845\pi\) | |||||||
\(744\) | −33.6877 | − | 9.89159i | −1.23505 | − | 0.362643i | ||||
\(745\) | −33.5439 | + | 9.21732i | −1.22895 | + | 0.337696i | ||||
\(746\) | −2.74374 | + | 19.0832i | −0.100456 | + | 0.698684i | ||||
\(747\) | −68.5239 | − | 31.2938i | −2.50716 | − | 1.14498i | ||||
\(748\) | 3.37380 | + | 1.54076i | 0.123358 | + | 0.0563359i | ||||
\(749\) | −0.246558 | + | 1.71485i | −0.00900902 | + | 0.0626591i | ||||
\(750\) | 55.5113 | + | 19.5055i | 2.02699 | + | 0.712238i | ||||
\(751\) | −16.5964 | − | 4.87313i | −0.605610 | − | 0.177823i | −0.0354699 | − | 0.999371i | \(-0.511293\pi\) |
−0.570140 | + | 0.821548i | \(0.693111\pi\) | |||||||
\(752\) | −2.86885 | + | 0.412479i | −0.104616 | + | 0.0150416i | ||||
\(753\) | −38.8641 | + | 33.6760i | −1.41629 | + | 1.22722i | ||||
\(754\) | −17.8706 | − | 11.4847i | −0.650808 | − | 0.418249i | ||||
\(755\) | −1.61134 | + | 0.996286i | −0.0586427 | + | 0.0362586i | ||||
\(756\) | −5.86894 | + | 1.72328i | −0.213451 | + | 0.0626750i | ||||
\(757\) | −25.8760 | + | 11.8172i | −0.940481 | + | 0.429503i | −0.825840 | − | 0.563904i | \(-0.809299\pi\) |
−0.114640 | + | 0.993407i | \(0.536572\pi\) | |||||||
\(758\) | 25.3698i | 0.921473i | ||||||||
\(759\) | 48.0280 | − | 40.2596i | 1.74331 | − | 1.46133i | ||||
\(760\) | −0.665452 | + | 2.12833i | −0.0241385 | + | 0.0772028i | ||||
\(761\) | −10.4443 | − | 22.8699i | −0.378606 | − | 0.829032i | −0.998999 | − | 0.0447407i | \(-0.985754\pi\) |
0.620392 | − | 0.784292i | \(-0.286973\pi\) | |||||||
\(762\) | −13.5385 | − | 46.1078i | −0.490447 | − | 1.67031i | ||||
\(763\) | 3.58954 | + | 3.11036i | 0.129950 | + | 0.112602i | ||||
\(764\) | −11.6433 | − | 7.48267i | −0.421239 | − | 0.270714i | ||||
\(765\) | 18.8985 | − | 8.23555i | 0.683275 | − | 0.297757i | ||||
\(766\) | 5.45242 | + | 37.9224i | 0.197004 | + | 1.37019i | ||||
\(767\) | −4.69361 | + | 15.9850i | −0.169476 | + | 0.577183i | ||||
\(768\) | 26.1876 | + | 40.7487i | 0.944964 | + | 1.47039i | ||||
\(769\) | 1.87415 | − | 13.0350i | 0.0675835 | − | 0.470054i | −0.927722 | − | 0.373272i | \(-0.878236\pi\) |
0.995306 | − | 0.0967819i | \(-0.0308549\pi\) | |||||||
\(770\) | −6.41842 | + | 7.15144i | −0.231304 | + | 0.257720i | ||||
\(771\) | 27.3499 | − | 59.8880i | 0.984984 | − | 2.15681i | ||||
\(772\) | −8.31216 | − | 1.19511i | −0.299161 | − | 0.0430129i | ||||
\(773\) | −7.26298 | − | 11.3014i | −0.261231 | − | 0.406484i | 0.685718 | − | 0.727867i | \(-0.259488\pi\) |
−0.946949 | + | 0.321384i | \(0.895852\pi\) | |||||||
\(774\) | 8.37223 | + | 2.45831i | 0.300934 | + | 0.0883621i | ||||
\(775\) | 11.5589 | − | 23.1398i | 0.415208 | − | 0.831205i | ||||
\(776\) | 8.96746 | + | 10.3490i | 0.321913 | + | 0.371508i | ||||
\(777\) | 10.5493 | − | 16.4150i | 0.378454 | − | 0.588885i | ||||
\(778\) | 10.5145 | + | 9.11089i | 0.376964 | + | 0.326641i | ||||
\(779\) | 3.94806 | − | 1.15926i | 0.141454 | − | 0.0415347i | ||||
\(780\) | −2.04846 | − | 16.2542i | −0.0733467 | − | 0.581995i | ||||
\(781\) | −34.0931 | −1.21995 | ||||||||
\(782\) | −4.03842 | − | 9.24013i | −0.144414 | − | 0.330426i | ||||
\(783\) | − | 53.9280i | − | 1.92723i | ||||||
\(784\) | −13.4629 | − | 29.4797i | −0.480819 | − | 1.05285i | ||||
\(785\) | 0.327140 | − | 18.7624i | 0.0116761 | − | 0.669658i | ||||
\(786\) | 45.2709 | − | 52.2454i | 1.61476 | − | 1.86353i | ||||
\(787\) | 18.6624 | − | 29.0393i | 0.665243 | − | 1.03514i | −0.330575 | − | 0.943780i | \(-0.607243\pi\) |
0.995818 | − | 0.0913591i | \(-0.0291211\pi\) | |||||||
\(788\) | 6.81648 | − | 5.90651i | 0.242827 | − | 0.210411i | ||||
\(789\) | 5.88899 | + | 40.9588i | 0.209654 | + | 1.45817i | ||||
\(790\) | 33.5333 | − | 50.2314i | 1.19306 | − | 1.78715i | ||||
\(791\) | −8.06970 | + | 5.18608i | −0.286925 | + | 0.184396i | ||||
\(792\) | −62.0122 | − | 8.91601i | −2.20351 | − | 0.316817i | ||||
\(793\) | −7.47353 | − | 3.41305i | −0.265393 | − | 0.121201i | ||||
\(794\) | −1.51720 | + | 3.32220i | −0.0538434 | + | 0.117901i | ||||
\(795\) | 20.6981 | − | 43.3081i | 0.734085 | − | 1.53598i | ||||
\(796\) | 9.67775 | − | 6.21951i | 0.343019 | − | 0.220445i | ||||
\(797\) | −0.249259 | + | 0.848898i | −0.00882921 | + | 0.0300695i | −0.963790 | − | 0.266663i | \(-0.914079\pi\) |
0.954961 | + | 0.296733i | \(0.0958970\pi\) | |||||||
\(798\) | 1.56237 | − | 0.224635i | 0.0553073 | − | 0.00795199i | ||||
\(799\) | −0.493100 | − | 0.569068i | −0.0174446 | − | 0.0201322i | ||||
\(800\) | −17.7659 | + | 7.37621i | −0.628121 | + | 0.260788i | ||||
\(801\) | −28.3444 | + | 32.7112i | −1.00150 | + | 1.15579i | ||||
\(802\) | 10.4179 | + | 35.4803i | 0.367870 | + | 1.25285i | ||||
\(803\) | −2.74293 | + | 1.25265i | −0.0967958 | + | 0.0442052i | ||||
\(804\) | 5.45685 | 0.192448 | ||||||||
\(805\) | 6.80695 | − | 0.744918i | 0.239913 | − | 0.0262549i | ||||
\(806\) | −27.4787 | −0.967897 | ||||||||
\(807\) | 20.9384 | − | 9.56225i | 0.737067 | − | 0.336607i | ||||
\(808\) | 7.64017 | + | 26.0200i | 0.268780 | + | 0.915382i | ||||
\(809\) | 5.70849 | − | 6.58795i | 0.200700 | − | 0.231620i | −0.646474 | − | 0.762936i | \(-0.723757\pi\) |
0.847174 | + | 0.531316i | \(0.178302\pi\) | |||||||
\(810\) | 60.5690 | − | 50.6618i | 2.12818 | − | 1.78008i | ||||
\(811\) | −2.71573 | − | 3.13412i | −0.0953622 | − | 0.110054i | 0.706063 | − | 0.708150i | \(-0.250470\pi\) |
−0.801425 | + | 0.598096i | \(0.795924\pi\) | |||||||
\(812\) | 1.79562 | − | 0.258171i | 0.0630139 | − | 0.00906003i | ||||
\(813\) | −10.3949 | + | 35.4018i | −0.364565 | + | 1.24159i | ||||
\(814\) | −54.1229 | + | 34.7827i | −1.89701 | + | 1.21913i | ||||
\(815\) | −13.6832 | − | 6.53956i | −0.479302 | − | 0.229071i | ||||
\(816\) | −8.33783 | + | 18.2573i | −0.291883 | + | 0.639134i | ||||
\(817\) | −0.313720 | − | 0.143271i | −0.0109757 | − | 0.00501242i | ||||
\(818\) | 16.8282 | + | 2.41953i | 0.588384 | + | 0.0845969i | ||||
\(819\) | 12.5105 | − | 8.04003i | 0.437153 | − | 0.280941i | ||||
\(820\) | 11.5732 | + | 7.72603i | 0.404155 | + | 0.269805i | ||||
\(821\) | 2.10104 | + | 14.6130i | 0.0733267 | + | 0.509999i | 0.993074 | + | 0.117488i | \(0.0374842\pi\) |
−0.919748 | + | 0.392510i | \(0.871607\pi\) | |||||||
\(822\) | 58.8013 | − | 50.9517i | 2.05093 | − | 1.77714i | ||||
\(823\) | 16.9387 | − | 26.3572i | 0.590447 | − | 0.918754i | −0.409532 | − | 0.912296i | \(-0.634308\pi\) |
0.999979 | − | 0.00645833i | \(-0.00205576\pi\) | |||||||
\(824\) | 3.56217 | − | 4.11096i | 0.124094 | − | 0.143212i | ||||
\(825\) | 20.5821 | − | 62.0115i | 0.716578 | − | 2.15896i | ||||
\(826\) | −2.25494 | − | 4.93764i | −0.0784596 | − | 0.171802i | ||||
\(827\) | − | 8.94280i | − | 0.310972i | −0.987838 | − | 0.155486i | \(-0.950306\pi\) | ||
0.987838 | − | 0.155486i | \(-0.0496943\pi\) | |||||||
\(828\) | −15.7981 | − | 18.8465i | −0.549023 | − | 0.654962i | ||||
\(829\) | 6.08831 | 0.211456 | 0.105728 | − | 0.994395i | \(-0.466283\pi\) | ||||
0.105728 | + | 0.994395i | \(0.466283\pi\) | |||||||
\(830\) | 4.80370 | + | 38.1166i | 0.166739 | + | 1.32305i | ||||
\(831\) | 68.1837 | − | 20.0205i | 2.36527 | − | 0.694505i | ||||
\(832\) | −8.53033 | − | 7.39157i | −0.295736 | − | 0.256257i | ||||
\(833\) | 4.55199 | − | 7.08303i | 0.157717 | − | 0.245412i | ||||
\(834\) | −16.3347 | − | 18.8513i | −0.565626 | − | 0.652767i | ||||
\(835\) | −2.89163 | − | 0.467344i | −0.100069 | − | 0.0161731i | ||||
\(836\) | −1.30879 | − | 0.384295i | −0.0452654 | − | 0.0132911i | ||||
\(837\) | −37.7144 | − | 58.6848i | −1.30360 | − | 2.02844i | ||||
\(838\) | 44.0095 | + | 6.32761i | 1.52028 | + | 0.218584i | ||||
\(839\) | −3.47954 | + | 7.61913i | −0.120127 | + | 0.263042i | −0.960137 | − | 0.279529i | \(-0.909822\pi\) |
0.840010 | + | 0.542571i | \(0.182549\pi\) | |||||||
\(840\) | −7.21176 | − | 6.47256i | −0.248830 | − | 0.223325i | ||||
\(841\) | 1.85097 | − | 12.8737i | 0.0638264 | − | 0.443922i | ||||
\(842\) | 18.2866 | + | 28.4545i | 0.630198 | + | 0.980607i | ||||
\(843\) | −22.2188 | + | 75.6702i | −0.765255 | + | 2.60622i | ||||
\(844\) | 2.61573 | + | 18.1928i | 0.0900371 | + | 0.626222i | ||||
\(845\) | −2.31387 | − | 5.30974i | −0.0795996 | − | 0.182660i | ||||
\(846\) | −5.89402 | − | 3.78785i | −0.202640 | − | 0.130229i | ||||
\(847\) | 2.75611 | + | 2.38818i | 0.0947010 | + | 0.0820589i | ||||
\(848\) | 9.30090 | + | 31.6760i | 0.319394 | + | 1.08776i | ||||
\(849\) | 0.483813 | + | 1.05940i | 0.0166044 | + | 0.0363586i | ||||
\(850\) | −8.64090 | − | 5.98884i | −0.296380 | − | 0.205415i | ||||
\(851\) | 45.2662 | + | 7.26621i | 1.55171 | + | 0.249082i | ||||
\(852\) | 18.9385i | 0.648821i | ||||||||
\(853\) | −51.7952 | + | 23.6541i | −1.77343 | + | 0.809900i | −0.794061 | + | 0.607838i | \(0.792037\pi\) |
−0.979373 | + | 0.202062i | \(0.935236\pi\) | |||||||
\(854\) | 2.56854 | − | 0.754191i | 0.0878936 | − | 0.0258079i | ||||
\(855\) | −6.44848 | + | 3.98707i | −0.220533 | + | 0.136355i | ||||
\(856\) | 4.84599 | + | 3.11433i | 0.165633 | + | 0.106446i | ||||
\(857\) | 31.7900 | − | 27.5462i | 1.08593 | − | 0.940961i | 0.0874524 | − | 0.996169i | \(-0.472127\pi\) |
0.998475 | + | 0.0552073i | \(0.0175820\pi\) | |||||||
\(858\) | −68.7048 | + | 9.87827i | −2.34554 | + | 0.337238i | ||||
\(859\) | 30.3932 | + | 8.92424i | 1.03700 | + | 0.304491i | 0.755554 | − | 0.655086i | \(-0.227368\pi\) |
0.281447 | + | 0.959577i | \(0.409186\pi\) | |||||||
\(860\) | −0.309034 | − | 1.12464i | −0.0105380 | − | 0.0383500i | ||||
\(861\) | −2.54472 | + | 17.6989i | −0.0867239 | + | 0.603178i | ||||
\(862\) | 33.0451 | + | 15.0912i | 1.12552 | + | 0.514008i | ||||
\(863\) | 4.83808 | + | 2.20948i | 0.164690 | + | 0.0752115i | 0.496054 | − | 0.868291i | \(-0.334782\pi\) |
−0.331364 | + | 0.943503i | \(0.607509\pi\) | |||||||
\(864\) | −7.38313 | + | 51.3508i | −0.251179 | + | 1.74699i | ||||
\(865\) | 0.325610 | + | 1.18497i | 0.0110711 | + | 0.0402901i | ||||
\(866\) | 4.15724 | + | 1.22068i | 0.141269 | + | 0.0414802i | ||||
\(867\) | 48.6281 | − | 6.99166i | 1.65150 | − | 0.237449i | ||||
\(868\) | 1.77346 | − | 1.53671i | 0.0601950 | − | 0.0521593i | ||||
\(869\) | −56.4208 | − | 36.2594i | −1.91394 | − | 1.23002i | ||||
\(870\) | −40.0284 | + | 24.7494i | −1.35709 | + | 0.839085i | ||||
\(871\) | −7.43910 | + | 2.18432i | −0.252064 | + | 0.0740128i | ||||
\(872\) | 14.3653 | − | 6.56041i | 0.486470 | − | 0.222163i | ||||
\(873\) | 46.5569i | 1.57571i | ||||||||
\(874\) | 1.95370 | + | 3.15227i | 0.0660850 | + | 0.106627i | ||||
\(875\) | 5.63241 | − | 4.38666i | 0.190410 | − | 0.148296i | ||||
\(876\) | 0.695841 | + | 1.52368i | 0.0235103 | + | 0.0514803i | ||||
\(877\) | 15.6402 | + | 53.2658i | 0.528133 | + | 1.79866i | 0.598484 | + | 0.801135i | \(0.295770\pi\) |
−0.0703508 | + | 0.997522i | \(0.522412\pi\) | |||||||
\(878\) | −33.0663 | − | 28.6521i | −1.11593 | − | 0.966962i | ||||
\(879\) | −58.2260 | − | 37.4196i | −1.96391 | − | 1.26213i | ||||
\(880\) | 17.9524 | + | 41.1961i | 0.605175 | + | 1.38872i | ||||
\(881\) | 4.81175 | + | 33.4665i | 0.162112 | + | 1.12751i | 0.894643 | + | 0.446781i | \(0.147430\pi\) |
−0.732531 | + | 0.680733i | \(0.761661\pi\) | |||||||
\(882\) | 22.0713 | − | 75.1678i | 0.743178 | − | 2.53103i | ||||
\(883\) | 14.4125 | + | 22.4263i | 0.485020 | + | 0.754706i | 0.994383 | − | 0.105846i | \(-0.0337550\pi\) |
−0.509362 | + | 0.860552i | \(0.670119\pi\) | |||||||
\(884\) | −0.416600 | + | 2.89752i | −0.0140118 | + | 0.0974541i | ||||
\(885\) | 27.4679 | + | 24.6525i | 0.923325 | + | 0.828685i | ||||
\(886\) | 11.0552 | − | 24.2075i | 0.371407 | − | 0.813267i | ||||
\(887\) | −29.5701 | − | 4.25154i | −0.992868 | − | 0.142753i | −0.373312 | − | 0.927706i | \(-0.621778\pi\) |
−0.619556 | + | 0.784953i | \(0.712687\pi\) | |||||||
\(888\) | −35.0761 | − | 54.5794i | −1.17708 | − | 1.83157i | ||||
\(889\) | −5.59444 | − | 1.64268i | −0.187631 | − | 0.0550936i | ||||
\(890\) | 21.7911 | + | 3.52187i | 0.730440 | + | 0.118053i | ||||
\(891\) | −57.4221 | − | 66.2686i | −1.92371 | − | 2.22008i | ||||
\(892\) | −0.957932 | + | 1.49057i | −0.0320739 | + | 0.0499080i | ||||
\(893\) | 0.209285 | + | 0.181347i | 0.00700347 | + | 0.00606854i | ||||
\(894\) | 78.5567 | − | 23.0663i | 2.62733 | − | 0.771454i | ||||
\(895\) | 1.77215 | + | 14.0618i | 0.0592366 | + | 0.470033i | ||||
\(896\) | 8.59095 | 0.287003 | ||||||||
\(897\) | 41.1672 | + | 27.4187i | 1.37453 | + | 0.915483i | ||||
\(898\) | − | 45.8901i | − | 1.53137i | ||||||
\(899\) | 8.59450 | + | 18.8193i | 0.286643 | + | 0.627660i | ||||
\(900\) | −24.3337 | − | 8.07657i | −0.811124 | − | 0.269219i | ||||
\(901\) | −5.61657 | + | 6.48187i | −0.187115 | + | 0.215942i | ||||
\(902\) | 31.8742 | − | 49.5972i | 1.06129 | − | 1.65140i | ||||
\(903\) | 1.13267 | − | 0.981461i | 0.0376928 | − | 0.0326610i | ||||
\(904\) | 4.53908 | + | 31.5700i | 0.150968 | + | 1.05000i | ||||
\(905\) | 4.76739 | + | 3.18260i | 0.158473 | + | 0.105793i | ||||
\(906\) | 3.75090 | − | 2.41056i | 0.124615 | − | 0.0800853i | ||||
\(907\) | 4.23567 | + | 0.608997i | 0.140643 | + | 0.0202214i | 0.212277 | − | 0.977210i | \(-0.431912\pi\) |
−0.0716337 | + | 0.997431i | \(0.522821\pi\) | |||||||
\(908\) | −3.47644 | − | 1.58764i | −0.115370 | − | 0.0526876i | ||||
\(909\) | −38.3012 | + | 83.8679i | −1.27037 | + | 2.78172i | ||||
\(910\) | −6.84284 | − | 3.27038i | −0.226838 | − | 0.108412i | ||||
\(911\) | 10.3673 | − | 6.66263i | 0.343483 | − | 0.220743i | −0.357514 | − | 0.933908i | \(-0.616375\pi\) |
0.700996 | + | 0.713165i | \(0.252739\pi\) | |||||||
\(912\) | 2.07961 | − | 7.08251i | 0.0688629 | − | 0.234525i | ||||
\(913\) | 42.2277 | − | 6.07142i | 1.39753 | − | 0.200935i | ||||
\(914\) | −34.1096 | − | 39.3646i | −1.12825 | − | 1.30207i | ||||
\(915\) | −13.9618 | + | 11.6781i | −0.461562 | + | 0.386065i | ||||
\(916\) | 4.18710 | − | 4.83217i | 0.138346 | − | 0.159659i | ||||
\(917\) | −2.36314 | − | 8.04812i | −0.0780378 | − | 0.265772i | ||||
\(918\) | −25.7914 | + | 11.7786i | −0.851244 | + | 0.388750i | ||||
\(919\) | −27.5906 | −0.910129 | −0.455064 | − | 0.890459i | \(-0.650384\pi\) | ||||
−0.455064 | + | 0.890459i | \(0.650384\pi\) | |||||||
\(920\) | 7.14904 | − | 21.6165i | 0.235697 | − | 0.712675i | ||||
\(921\) | −48.8511 | −1.60970 | ||||||||
\(922\) | −31.9345 | + | 14.5840i | −1.05171 | + | 0.480299i | ||||
\(923\) | −7.58086 | − | 25.8180i | −0.249527 | − | 0.849811i | ||||
\(924\) | 3.88173 | − | 4.47975i | 0.127699 | − | 0.147373i | ||||
\(925\) | 44.1438 | − | 18.3280i | 1.45144 | − | 0.602621i | ||||
\(926\) | −24.7891 | − | 28.6081i | −0.814619 | − | 0.940121i | ||||
\(927\) | 18.3057 | − | 2.63196i | 0.601237 | − | 0.0864449i | ||||
\(928\) | 4.33478 | − | 14.7629i | 0.142296 | − | 0.484616i | ||||
\(929\) | 11.3678 | − | 7.30566i | 0.372966 | − | 0.239691i | −0.340707 | − | 0.940169i | \(-0.610666\pi\) |
0.713673 | + | 0.700479i | \(0.247030\pi\) | |||||||
\(930\) | −26.2507 | + | 54.9263i | −0.860796 | + | 1.80111i | ||||
\(931\) | −1.28632 | + | 2.81665i | −0.0421574 | + | 0.0923118i | ||||
\(932\) | 3.33360 | + | 1.52240i | 0.109196 | + | 0.0498680i | ||||
\(933\) | 10.9969 | + | 1.58111i | 0.360022 | + | 0.0517633i | ||||
\(934\) | 54.8951 | − | 35.2789i | 1.79622 | − | 1.15436i | ||||
\(935\) | −6.48209 | + | 9.70987i | −0.211987 | + | 0.317547i | ||||
\(936\) | −7.03698 | − | 48.9433i | −0.230011 | − | 1.59976i | ||||
\(937\) | −36.8543 | + | 31.9344i | −1.20398 | + | 1.04325i | −0.206073 | + | 0.978537i | \(0.566069\pi\) |
−0.997904 | + | 0.0647155i | \(0.979386\pi\) | |||||||
\(938\) | 1.36575 | − | 2.12515i | 0.0445934 | − | 0.0693887i | ||||
\(939\) | −38.9153 | + | 44.9106i | −1.26995 | + | 1.46560i | ||||
\(940\) | −0.0163263 | + | 0.936354i | −0.000532504 | + | 0.0305405i | ||||
\(941\) | −18.6918 | − | 40.9292i | −0.609334 | − | 1.33425i | −0.923029 | − | 0.384731i | \(-0.874294\pi\) |
0.313695 | − | 0.949524i | \(-0.398433\pi\) | |||||||
\(942\) | 44.1647i | 1.43896i | ||||||||
\(943\) | −40.4986 | + | 11.1750i | −1.31882 | + | 0.363907i | ||||
\(944\) | −25.3847 | −0.826202 | ||||||||
\(945\) | −2.40741 | − | 19.1025i | −0.0783132 | − | 0.621403i | ||||
\(946\) | −4.74139 | + | 1.39220i | −0.154156 | + | 0.0452642i | ||||
\(947\) | 3.88956 | + | 3.37033i | 0.126394 | + | 0.109521i | 0.715764 | − | 0.698342i | \(-0.246079\pi\) |
−0.589370 | + | 0.807863i | \(0.700624\pi\) | |||||||
\(948\) | −20.1419 | + | 31.3414i | −0.654177 | + | 1.01792i | ||||
\(949\) | −1.55852 | − | 1.79863i | −0.0505918 | − | 0.0583860i | ||||
\(950\) | 3.45895 | + | 1.72783i | 0.112223 | + | 0.0560583i | ||||
\(951\) | −56.1207 | − | 16.4785i | −1.81984 | − | 0.534353i | ||||
\(952\) | 0.936119 | + | 1.45663i | 0.0303398 | + | 0.0472097i | ||||
\(953\) | −12.3212 | − | 1.77151i | −0.399121 | − | 0.0573850i | −0.0601682 | − | 0.998188i | \(-0.519164\pi\) |
−0.338953 | + | 0.940803i | \(0.610073\pi\) | |||||||
\(954\) | −33.1515 | + | 72.5916i | −1.07332 | + | 2.35024i | ||||
\(955\) | 29.0989 | − | 32.4221i | 0.941617 | − | 1.04915i | ||||
\(956\) | 0.432653 | − | 3.00917i | 0.0139930 | − | 0.0973234i | ||||
\(957\) | 28.2541 | + | 43.9642i | 0.913324 | + | 1.42116i | ||||
\(958\) | 2.68198 | − | 9.13400i | 0.0866509 | − | 0.295106i | ||||
\(959\) | −1.34351 | − | 9.34434i | −0.0433843 | − | 0.301744i | ||||
\(960\) | −22.9239 | + | 9.98975i | −0.739866 | + | 0.322418i | ||||
\(961\) | −3.56499 | − | 2.29108i | −0.115000 | − | 0.0739058i | ||||
\(962\) | −38.3749 | − | 33.2521i | −1.23726 | − | 1.07209i | ||||
\(963\) | 5.51768 | + | 18.7915i | 0.177805 | + | 0.605548i | ||||
\(964\) | 6.28972 | + | 13.7726i | 0.202578 | + | 0.443585i | ||||
\(965\) | 7.88812 | − | 25.2288i | 0.253928 | − | 0.812144i | ||||
\(966\) | −15.9874 | + | 2.03222i | −0.514387 | + | 0.0653855i | ||||
\(967\) | 14.8332i | 0.477004i | 0.971142 | + | 0.238502i | \(0.0766563\pi\) | ||||
−0.971142 | + | 0.238502i | \(0.923344\pi\) | |||||||
\(968\) | 11.0299 | − | 5.03719i | 0.354515 | − | 0.161901i | ||||
\(969\) | 1.84002 | − | 0.540278i | 0.0591099 | − | 0.0173562i | ||||
\(970\) | 20.1950 | − | 12.4865i | 0.648424 | − | 0.400918i | ||||
\(971\) | 40.8875 | + | 26.2768i | 1.31214 | + | 0.843263i | 0.994479 | − | 0.104940i | \(-0.0334651\pi\) |
0.317664 | + | 0.948203i | \(0.397101\pi\) | |||||||
\(972\) | −15.0933 | + | 13.0785i | −0.484119 | + | 0.419492i | ||||
\(973\) | −2.99573 | + | 0.430721i | −0.0960386 | + | 0.0138083i | ||||
\(974\) | 25.5226 | + | 7.49412i | 0.817798 | + | 0.240127i | ||||
\(975\) | 51.5367 | + | 1.79773i | 1.65050 | + | 0.0575736i | ||||
\(976\) | 1.78161 | − | 12.3914i | 0.0570280 | − | 0.396639i | ||||
\(977\) | −27.7315 | − | 12.6646i | −0.887210 | − | 0.405175i | −0.0809371 | − | 0.996719i | \(-0.525791\pi\) |
−0.806273 | + | 0.591544i | \(0.798519\pi\) | |||||||
\(978\) | 32.4674 | + | 14.8274i | 1.03819 | + | 0.474126i | ||||
\(979\) | 3.48845 | − | 24.2627i | 0.111491 | − | 0.775440i | ||||
\(980\) | −10.0973 | + | 2.77457i | −0.322546 | + | 0.0886305i | ||||
\(981\) | 51.5174 | + | 15.1269i | 1.64483 | + | 0.482964i | ||||
\(982\) | −41.0883 | + | 5.90761i | −1.31118 | + | 0.188519i | ||||
\(983\) | −14.2083 | + | 12.3116i | −0.453176 | + | 0.392679i | −0.851323 | − | 0.524643i | \(-0.824199\pi\) |
0.398147 | + | 0.917322i | \(0.369653\pi\) | |||||||
\(984\) | 50.0155 | + | 32.1430i | 1.59444 | + | 1.02468i | ||||
\(985\) | 14.9304 | + | 24.1477i | 0.475723 | + | 0.769409i | ||||
\(986\) | 8.06847 | − | 2.36912i | 0.256952 | − | 0.0754480i | ||||
\(987\) | −1.09465 | + | 0.499909i | −0.0348431 | + | 0.0159123i | ||||
\(988\) | − | 1.07657i | − | 0.0342504i | ||||||
\(989\) | 3.17876 | + | 1.51504i | 0.101079 | + | 0.0481754i | ||||
\(990\) | −32.4166 | + | 103.679i | −1.03027 | + | 3.29514i | ||||
\(991\) | −17.6204 | − | 38.5833i | −0.559730 | − | 1.22564i | −0.952088 | − | 0.305826i | \(-0.901068\pi\) |
0.392357 | − | 0.919813i | \(-0.371660\pi\) | |||||||
\(992\) | −5.60727 | − | 19.0966i | −0.178031 | − | 0.606318i | ||||
\(993\) | −17.9845 | − | 15.5837i | −0.570722 | − | 0.494534i | ||||
\(994\) | 7.37552 | + | 4.73996i | 0.233937 | + | 0.150342i | ||||
\(995\) | 14.4661 | + | 33.1959i | 0.458606 | + | 1.05238i | ||||
\(996\) | −3.37264 | − | 23.4572i | −0.106866 | − | 0.743270i | ||||
\(997\) | −8.99299 | + | 30.6273i | −0.284811 | + | 0.969977i | 0.685491 | + | 0.728081i | \(0.259587\pi\) |
−0.970302 | + | 0.241896i | \(0.922231\pi\) | |||||||
\(998\) | 9.34307 | + | 14.5381i | 0.295750 | + | 0.460196i | ||||
\(999\) | 18.3452 | − | 127.594i | 0.580416 | − | 4.03688i |
(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 | 115.2.j.a.4.8 | yes | 100 | |
5.2 | odd | 4 | 575.2.k.g.326.8 | 100 | |||
5.3 | odd | 4 | 575.2.k.g.326.3 | 100 | |||
5.4 | even | 2 | inner | 115.2.j.a.4.3 | ✓ | 100 | |
23.6 | even | 11 | inner | 115.2.j.a.29.3 | yes | 100 | |
115.29 | even | 22 | inner | 115.2.j.a.29.8 | yes | 100 | |
115.52 | odd | 44 | 575.2.k.g.351.8 | 100 | |||
115.98 | odd | 44 | 575.2.k.g.351.3 | 100 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
115.2.j.a.4.3 | ✓ | 100 | 5.4 | even | 2 | inner | |
115.2.j.a.4.8 | yes | 100 | 1.1 | even | 1 | trivial | |
115.2.j.a.29.3 | yes | 100 | 23.6 | even | 11 | inner | |
115.2.j.a.29.8 | yes | 100 | 115.29 | even | 22 | inner | |
575.2.k.g.326.3 | 100 | 5.3 | odd | 4 | |||
575.2.k.g.326.8 | 100 | 5.2 | odd | 4 | |||
575.2.k.g.351.3 | 100 | 115.98 | odd | 44 | |||
575.2.k.g.351.8 | 100 | 115.52 | odd | 44 |