Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [672,2,Mod(37,672)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(672, base_ring=CyclotomicField(24))
chi = DirichletCharacter(H, H._module([0, 3, 0, 8]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("672.37");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 672 = 2^{5} \cdot 3 \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 672.cj (of order \(24\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(5.36594701583\) |
Analytic rank: | \(0\) |
Dimension: | \(512\) |
Relative dimension: | \(64\) over \(\Q(\zeta_{24})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{24}]$ |
Embedding invariants
Embedding label | 613.27 | ||
Character | \(\chi\) | \(=\) | 672.613 |
Dual form | 672.2.cj.a.205.27 |
$q$-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 \(\left(\mathbb{Z}/672\mathbb{Z}\right)^\times\).
\(n\) | \(127\) | \(421\) | \(449\) | \(577\) |
\(\chi(n)\) | \(1\) | \(e\left(\frac{1}{8}\right)\) | \(1\) | \(e\left(\frac{2}{3}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.288120 | − | 1.38455i | −0.203731 | − | 0.979027i | ||||
\(3\) | −0.991445 | − | 0.130526i | −0.572411 | − | 0.0753593i | ||||
\(4\) | −1.83397 | + | 0.797834i | −0.916987 | + | 0.398917i | ||||
\(5\) | −0.308662 | − | 2.34452i | −0.138038 | − | 1.04850i | −0.910520 | − | 0.413466i | \(-0.864318\pi\) |
0.772482 | − | 0.635037i | \(-0.219015\pi\) | |||||||
\(6\) | 0.104934 | + | 1.41032i | 0.0428393 | + | 0.575759i | ||||
\(7\) | −0.0642908 | − | 2.64497i | −0.0242997 | − | 0.999705i | ||||
\(8\) | 1.63305 | + | 2.30936i | 0.577370 | + | 0.816483i | ||||
\(9\) | 0.965926 | + | 0.258819i | 0.321975 | + | 0.0862730i | ||||
\(10\) | −3.15719 | + | 1.10286i | −0.998390 | + | 0.348756i | ||||
\(11\) | −1.41092 | − | 1.83874i | −0.425407 | − | 0.554401i | 0.530646 | − | 0.847593i | \(-0.321949\pi\) |
−0.956054 | + | 0.293192i | \(0.905283\pi\) | |||||||
\(12\) | 1.92242 | − | 0.551627i | 0.554956 | − | 0.159241i | ||||
\(13\) | 1.45857 | − | 0.604158i | 0.404534 | − | 0.167563i | −0.171133 | − | 0.985248i | \(-0.554743\pi\) |
0.575666 | + | 0.817685i | \(0.304743\pi\) | |||||||
\(14\) | −3.64358 | + | 0.851082i | −0.973787 | + | 0.227461i | ||||
\(15\) | 2.36475i | 0.610577i | ||||||||
\(16\) | 2.72692 | − | 2.92641i | 0.681730 | − | 0.731604i | ||||
\(17\) | −4.68459 | − | 2.70465i | −1.13618 | − | 0.655974i | −0.190698 | − | 0.981649i | \(-0.561075\pi\) |
−0.945482 | + | 0.325675i | \(0.894408\pi\) | |||||||
\(18\) | 0.0800464 | − | 1.41195i | 0.0188671 | − | 0.332799i | ||||
\(19\) | 0.531685 | + | 0.407976i | 0.121977 | + | 0.0935962i | 0.667948 | − | 0.744208i | \(-0.267173\pi\) |
−0.545972 | + | 0.837804i | \(0.683839\pi\) | |||||||
\(20\) | 2.43662 | + | 4.05353i | 0.544845 | + | 0.906398i | ||||
\(21\) | −0.281497 | + | 2.63073i | −0.0614277 | + | 0.574073i | ||||
\(22\) | −2.13932 | + | 2.48327i | −0.456105 | + | 0.529434i | ||||
\(23\) | −5.21510 | − | 1.39738i | −1.08742 | − | 0.291374i | −0.329790 | − | 0.944054i | \(-0.606978\pi\) |
−0.757634 | + | 0.652680i | \(0.773645\pi\) | |||||||
\(24\) | −1.31764 | − | 2.50276i | −0.268963 | − | 0.510874i | ||||
\(25\) | −0.571890 | + | 0.153238i | −0.114378 | + | 0.0306475i | ||||
\(26\) | −1.25673 | − | 1.84539i | −0.246465 | − | 0.361911i | ||||
\(27\) | −0.923880 | − | 0.382683i | −0.177801 | − | 0.0736475i | ||||
\(28\) | 2.22816 | + | 4.79951i | 0.421082 | + | 0.907023i | ||||
\(29\) | 2.83162 | + | 6.83613i | 0.525819 | + | 1.26944i | 0.934240 | + | 0.356645i | \(0.116079\pi\) |
−0.408422 | + | 0.912793i | \(0.633921\pi\) | |||||||
\(30\) | 3.27413 | − | 0.681333i | 0.597771 | − | 0.124394i | ||||
\(31\) | −0.332612 | + | 0.576100i | −0.0597388 | + | 0.103471i | −0.894348 | − | 0.447372i | \(-0.852360\pi\) |
0.834609 | + | 0.550842i | \(0.185693\pi\) | |||||||
\(32\) | −4.83746 | − | 2.93241i | −0.855149 | − | 0.518382i | ||||
\(33\) | 1.15884 | + | 2.00717i | 0.201728 | + | 0.349404i | ||||
\(34\) | −2.39501 | + | 7.26532i | −0.410740 | + | 1.24599i | ||||
\(35\) | −6.18135 | + | 0.967134i | −1.04484 | + | 0.163476i | ||||
\(36\) | −1.97798 | + | 0.295981i | −0.329663 | + | 0.0493302i | ||||
\(37\) | 1.06583 | + | 8.09580i | 0.175222 | + | 1.33094i | 0.822534 | + | 0.568716i | \(0.192560\pi\) |
−0.647312 | + | 0.762225i | \(0.724107\pi\) | |||||||
\(38\) | 0.411676 | − | 0.853692i | 0.0667826 | − | 0.138487i | ||||
\(39\) | −1.52495 | + | 0.408608i | −0.244187 | + | 0.0654297i | ||||
\(40\) | 4.91029 | − | 4.54153i | 0.776386 | − | 0.718079i | ||||
\(41\) | 6.00126 | − | 6.00126i | 0.937240 | − | 0.937240i | −0.0609037 | − | 0.998144i | \(-0.519398\pi\) |
0.998144 | + | 0.0609037i | \(0.0193983\pi\) | |||||||
\(42\) | 3.72349 | − | 0.368219i | 0.574548 | − | 0.0568174i | ||||
\(43\) | −1.49306 | + | 3.60456i | −0.227689 | + | 0.549690i | −0.995895 | − | 0.0905126i | \(-0.971149\pi\) |
0.768206 | + | 0.640202i | \(0.221149\pi\) | |||||||
\(44\) | 4.05459 | + | 2.24653i | 0.611253 | + | 0.338677i | ||||
\(45\) | 0.308662 | − | 2.34452i | 0.0460127 | − | 0.349501i | ||||
\(46\) | −0.432176 | + | 7.62320i | −0.0637209 | + | 1.12398i | ||||
\(47\) | −11.0340 | + | 6.37051i | −1.60948 | + | 0.929234i | −0.619994 | + | 0.784606i | \(0.712865\pi\) |
−0.989486 | + | 0.144628i | \(0.953802\pi\) | |||||||
\(48\) | −3.08557 | + | 2.54544i | −0.445363 | + | 0.367403i | ||||
\(49\) | −6.99173 | + | 0.340095i | −0.998819 | + | 0.0485850i | ||||
\(50\) | 0.376938 | + | 0.747662i | 0.0533071 | + | 0.105735i | ||||
\(51\) | 4.29148 | + | 3.29297i | 0.600928 | + | 0.461108i | ||||
\(52\) | −2.19296 | + | 2.27170i | −0.304108 | + | 0.315029i | ||||
\(53\) | −0.337455 | − | 0.439779i | −0.0463529 | − | 0.0604083i | 0.769602 | − | 0.638524i | \(-0.220455\pi\) |
−0.815955 | + | 0.578116i | \(0.803788\pi\) | |||||||
\(54\) | −0.263658 | + | 1.38942i | −0.0358792 | + | 0.189076i | ||||
\(55\) | −3.87548 | + | 3.87548i | −0.522569 | + | 0.522569i | ||||
\(56\) | 6.00320 | − | 4.46783i | 0.802212 | − | 0.597039i | ||||
\(57\) | −0.473885 | − | 0.473885i | −0.0627676 | − | 0.0627676i | ||||
\(58\) | 8.64914 | − | 5.89015i | 1.13569 | − | 0.773415i | ||||
\(59\) | 2.47876 | − | 1.90202i | 0.322708 | − | 0.247622i | −0.434684 | − | 0.900583i | \(-0.643140\pi\) |
0.757392 | + | 0.652961i | \(0.226473\pi\) | |||||||
\(60\) | −1.88668 | − | 4.33690i | −0.243570 | − | 0.559891i | ||||
\(61\) | −5.40788 | + | 7.04769i | −0.692408 | + | 0.902364i | −0.998772 | − | 0.0495509i | \(-0.984221\pi\) |
0.306364 | + | 0.951915i | \(0.400888\pi\) | |||||||
\(62\) | 0.893474 | + | 0.294533i | 0.113471 | + | 0.0374057i | ||||
\(63\) | 0.622468 | − | 2.57148i | 0.0784237 | − | 0.323977i | ||||
\(64\) | −2.66631 | + | 7.54260i | −0.333289 | + | 0.942825i | ||||
\(65\) | −1.86667 | − | 3.23316i | −0.231532 | − | 0.401025i | ||||
\(66\) | 2.44515 | − | 2.18278i | 0.300977 | − | 0.268682i | ||||
\(67\) | −7.76980 | − | 1.02291i | −0.949233 | − | 0.124969i | −0.360018 | − | 0.932945i | \(-0.617229\pi\) |
−0.589215 | + | 0.807976i | \(0.700563\pi\) | |||||||
\(68\) | 10.7493 | + | 1.22273i | 1.30354 | + | 0.148278i | ||||
\(69\) | 4.98809 | + | 2.06614i | 0.600496 | + | 0.248734i | ||||
\(70\) | 3.12002 | + | 8.27976i | 0.372913 | + | 0.989620i | ||||
\(71\) | −8.57151 | − | 8.57151i | −1.01725 | − | 1.01725i | −0.999849 | − | 0.0174029i | \(-0.994460\pi\) |
−0.0174029 | − | 0.999849i | \(-0.505540\pi\) | |||||||
\(72\) | 0.979696 | + | 2.65334i | 0.115458 | + | 0.312699i | ||||
\(73\) | −0.159343 | − | 0.594678i | −0.0186497 | − | 0.0696017i | 0.955974 | − | 0.293452i | \(-0.0948040\pi\) |
−0.974624 | + | 0.223850i | \(0.928137\pi\) | |||||||
\(74\) | 10.9020 | − | 3.80826i | 1.26733 | − | 0.442701i | ||||
\(75\) | 0.586999 | − | 0.0772799i | 0.0677808 | − | 0.00892351i | ||||
\(76\) | −1.30059 | − | 0.324021i | −0.149188 | − | 0.0371678i | ||||
\(77\) | −4.77271 | + | 3.85004i | −0.543900 | + | 0.438753i | ||||
\(78\) | 1.00511 | + | 1.99364i | 0.113806 | + | 0.225735i | ||||
\(79\) | 8.31378 | − | 4.79997i | 0.935374 | − | 0.540038i | 0.0468666 | − | 0.998901i | \(-0.485076\pi\) |
0.888507 | + | 0.458863i | \(0.151743\pi\) | |||||||
\(80\) | −7.70275 | − | 5.49006i | −0.861193 | − | 0.613807i | ||||
\(81\) | 0.866025 | + | 0.500000i | 0.0962250 | + | 0.0555556i | ||||
\(82\) | −10.0382 | − | 6.57998i | −1.10853 | − | 0.726638i | ||||
\(83\) | 4.72948 | − | 1.95902i | 0.519128 | − | 0.215030i | −0.107706 | − | 0.994183i | \(-0.534350\pi\) |
0.626834 | + | 0.779153i | \(0.284350\pi\) | |||||||
\(84\) | −1.58263 | − | 5.04929i | −0.172679 | − | 0.550922i | ||||
\(85\) | −4.89516 | + | 11.8180i | −0.530954 | + | 1.28184i | ||||
\(86\) | 5.42088 | + | 1.02867i | 0.584548 | + | 0.110924i | ||||
\(87\) | −1.91510 | − | 7.14725i | −0.205320 | − | 0.766266i | ||||
\(88\) | 1.94223 | − | 6.26107i | 0.207042 | − | 0.667432i | ||||
\(89\) | 3.85743 | − | 14.3961i | 0.408887 | − | 1.52599i | −0.387885 | − | 0.921708i | \(-0.626794\pi\) |
0.796772 | − | 0.604280i | \(-0.206539\pi\) | |||||||
\(90\) | −3.33505 | + | 0.248144i | −0.351545 | + | 0.0261567i | ||||
\(91\) | −1.69175 | − | 3.81902i | −0.177344 | − | 0.400342i | ||||
\(92\) | 10.6792 | − | 1.59802i | 1.11339 | − | 0.166606i | ||||
\(93\) | 0.404962 | − | 0.527757i | 0.0419926 | − | 0.0547259i | ||||
\(94\) | 11.9994 | + | 13.4417i | 1.23765 | + | 1.38641i | ||||
\(95\) | 0.792399 | − | 1.37247i | 0.0812984 | − | 0.140813i | ||||
\(96\) | 4.41331 | + | 3.53874i | 0.450432 | + | 0.361171i | ||||
\(97\) | 10.6575 | 1.08211 | 0.541054 | − | 0.840988i | \(-0.318026\pi\) | ||||
0.541054 | + | 0.840988i | \(0.318026\pi\) | |||||||
\(98\) | 2.48534 | + | 9.58244i | 0.251057 | + | 0.967972i | ||||
\(99\) | −0.886939 | − | 2.14126i | −0.0891407 | − | 0.215205i | ||||
\(100\) | 0.926574 | − | 0.737307i | 0.0926574 | − | 0.0737307i | ||||
\(101\) | 8.33429 | − | 6.39513i | 0.829293 | − | 0.636339i | −0.104351 | − | 0.994541i | \(-0.533277\pi\) |
0.933644 | + | 0.358202i | \(0.116610\pi\) | |||||||
\(102\) | 3.32283 | − | 6.89056i | 0.329009 | − | 0.682267i | ||||
\(103\) | 2.03746 | − | 7.60391i | 0.200757 | − | 0.749235i | −0.789944 | − | 0.613179i | \(-0.789891\pi\) |
0.990701 | − | 0.136056i | \(-0.0434428\pi\) | |||||||
\(104\) | 3.77713 | + | 2.38174i | 0.370378 | + | 0.233549i | ||||
\(105\) | 6.25471 | − | 0.152032i | 0.610397 | − | 0.0148368i | ||||
\(106\) | −0.511670 | + | 0.593933i | −0.0496978 | + | 0.0576879i | ||||
\(107\) | −4.12814 | + | 0.543480i | −0.399083 | + | 0.0525402i | −0.327397 | − | 0.944887i | \(-0.606171\pi\) |
−0.0716861 | + | 0.997427i | \(0.522838\pi\) | |||||||
\(108\) | 1.99969 | − | 0.0352712i | 0.192420 | − | 0.00339397i | ||||
\(109\) | 1.10378 | − | 8.38405i | 0.105723 | − | 0.803047i | −0.853638 | − | 0.520866i | \(-0.825609\pi\) |
0.959361 | − | 0.282180i | \(-0.0910577\pi\) | |||||||
\(110\) | 6.48240 | + | 4.24920i | 0.618073 | + | 0.405145i | ||||
\(111\) | − | 8.16565i | − | 0.775050i | ||||||
\(112\) | −7.91559 | − | 7.02448i | −0.747953 | − | 0.663751i | ||||
\(113\) | 10.0856i | 0.948774i | 0.880316 | + | 0.474387i | \(0.157330\pi\) | ||||
−0.880316 | + | 0.474387i | \(0.842670\pi\) | |||||||
\(114\) | −0.519583 | + | 0.792654i | −0.0486634 | + | 0.0742389i | ||||
\(115\) | −1.66649 | + | 12.6583i | −0.155401 | + | 1.18039i | ||||
\(116\) | −10.6472 | − | 10.2781i | −0.988569 | − | 0.954300i | ||||
\(117\) | 1.56524 | − | 0.206067i | 0.144706 | − | 0.0190509i | ||||
\(118\) | −3.34763 | − | 2.88397i | −0.308175 | − | 0.265491i | ||||
\(119\) | −6.85254 | + | 12.5645i | −0.628171 | + | 1.15178i | ||||
\(120\) | −5.46108 | + | 3.86176i | −0.498526 | + | 0.352529i | ||||
\(121\) | 1.45672 | − | 5.43657i | 0.132429 | − | 0.494233i | ||||
\(122\) | 11.3160 | + | 5.45692i | 1.02450 | + | 0.494046i | ||||
\(123\) | −6.73324 | + | 5.16660i | −0.607116 | + | 0.465857i | ||||
\(124\) | 0.150369 | − | 1.32192i | 0.0135035 | − | 0.118712i | ||||
\(125\) | −3.98897 | − | 9.63023i | −0.356785 | − | 0.861354i | ||||
\(126\) | −3.73970 | − | 0.120945i | −0.333159 | − | 0.0107746i | ||||
\(127\) | −11.8317 | −1.04989 | −0.524946 | − | 0.851136i | \(-0.675914\pi\) | ||||
−0.524946 | + | 0.851136i | \(0.675914\pi\) | |||||||
\(128\) | 11.2113 | + | 1.51847i | 0.990952 | + | 0.134215i | ||||
\(129\) | 1.95077 | − | 3.37884i | 0.171756 | − | 0.297490i | ||||
\(130\) | −3.93866 | + | 3.51604i | −0.345444 | + | 0.308377i | ||||
\(131\) | −1.40606 | + | 1.83242i | −0.122848 | + | 0.160099i | −0.850729 | − | 0.525605i | \(-0.823839\pi\) |
0.727880 | + | 0.685704i | \(0.240506\pi\) | |||||||
\(132\) | −3.72668 | − | 2.75654i | −0.324365 | − | 0.239926i | ||||
\(133\) | 1.04490 | − | 1.43252i | 0.0906045 | − | 0.124215i | ||||
\(134\) | 0.822355 | + | 11.0524i | 0.0710407 | + | 0.954784i | ||||
\(135\) | −0.612044 | + | 2.28418i | −0.0526763 | + | 0.196591i | ||||
\(136\) | −1.40414 | − | 15.2352i | −0.120404 | − | 1.30641i | ||||
\(137\) | −1.99601 | − | 7.44922i | −0.170531 | − | 0.636430i | −0.997270 | − | 0.0738439i | \(-0.976473\pi\) |
0.826739 | − | 0.562586i | \(-0.190193\pi\) | |||||||
\(138\) | 1.42351 | − | 7.50157i | 0.121177 | − | 0.638576i | ||||
\(139\) | 7.35635 | − | 17.7598i | 0.623958 | − | 1.50637i | −0.223061 | − | 0.974804i | \(-0.571605\pi\) |
0.847019 | − | 0.531563i | \(-0.178395\pi\) | |||||||
\(140\) | 10.5648 | − | 6.70539i | 0.892891 | − | 0.566709i | ||||
\(141\) | 11.7712 | − | 4.87577i | 0.991311 | − | 0.410614i | ||||
\(142\) | −9.39809 | + | 14.3373i | −0.788670 | + | 1.20316i | ||||
\(143\) | −3.16881 | − | 1.82951i | −0.264989 | − | 0.152991i | ||||
\(144\) | 3.39142 | − | 2.12092i | 0.282618 | − | 0.176743i | ||||
\(145\) | 15.1535 | − | 8.74886i | 1.25843 | − | 0.726553i | ||||
\(146\) | −0.777453 | + | 0.391958i | −0.0643424 | + | 0.0324386i | ||||
\(147\) | 6.97631 | + | 0.575419i | 0.575396 | + | 0.0474598i | ||||
\(148\) | −8.41381 | − | 13.9971i | −0.691611 | − | 1.15056i | ||||
\(149\) | 6.61404 | − | 0.870754i | 0.541843 | − | 0.0713350i | 0.145363 | − | 0.989378i | \(-0.453565\pi\) |
0.396480 | + | 0.918043i | \(0.370232\pi\) | |||||||
\(150\) | −0.276124 | − | 0.790466i | −0.0225454 | − | 0.0645412i | ||||
\(151\) | 3.77918 | + | 14.1041i | 0.307545 | + | 1.14777i | 0.930732 | + | 0.365701i | \(0.119171\pi\) |
−0.623187 | + | 0.782073i | \(0.714163\pi\) | |||||||
\(152\) | −0.0738979 | + | 1.89410i | −0.00599391 | + | 0.153632i | ||||
\(153\) | −3.82495 | − | 3.82495i | −0.309229 | − | 0.309229i | ||||
\(154\) | 6.70570 | + | 5.49879i | 0.540361 | + | 0.443105i | ||||
\(155\) | 1.45335 | + | 0.601996i | 0.116736 | + | 0.0483534i | ||||
\(156\) | 2.47071 | − | 1.96603i | 0.197815 | − | 0.157409i | ||||
\(157\) | −15.6025 | − | 2.05411i | −1.24522 | − | 0.163936i | −0.521029 | − | 0.853539i | \(-0.674452\pi\) |
−0.724187 | + | 0.689603i | \(0.757785\pi\) | |||||||
\(158\) | −9.04117 | − | 10.1279i | −0.719277 | − | 0.805733i | ||||
\(159\) | 0.277165 | + | 0.480064i | 0.0219806 | + | 0.0380715i | ||||
\(160\) | −5.38196 | + | 12.2467i | −0.425481 | + | 0.968183i | ||||
\(161\) | −3.36075 | + | 13.8836i | −0.264864 | + | 1.09418i | ||||
\(162\) | 0.442757 | − | 1.34312i | 0.0347863 | − | 0.105525i | ||||
\(163\) | −4.62009 | + | 6.02102i | −0.361874 | + | 0.471603i | −0.938437 | − | 0.345449i | \(-0.887727\pi\) |
0.576564 | + | 0.817052i | \(0.304393\pi\) | |||||||
\(164\) | −6.21815 | + | 15.7942i | −0.485556 | + | 1.23332i | ||||
\(165\) | 4.34817 | − | 3.33647i | 0.338505 | − | 0.259744i | ||||
\(166\) | −4.07502 | − | 5.98379i | −0.316283 | − | 0.464432i | ||||
\(167\) | −16.4573 | − | 16.4573i | −1.27350 | − | 1.27350i | −0.944238 | − | 0.329263i | \(-0.893200\pi\) |
−0.329263 | − | 0.944238i | \(-0.606800\pi\) | |||||||
\(168\) | −6.53502 | + | 3.64604i | −0.504187 | + | 0.281298i | ||||
\(169\) | −7.42998 | + | 7.42998i | −0.571537 | + | 0.571537i | ||||
\(170\) | 17.7730 | + | 3.37262i | 1.36312 | + | 0.258668i | ||||
\(171\) | 0.407976 | + | 0.531685i | 0.0311987 | + | 0.0406590i | ||||
\(172\) | −0.137612 | − | 7.80187i | −0.0104928 | − | 0.594887i | ||||
\(173\) | −7.30095 | − | 5.60222i | −0.555081 | − | 0.425929i | 0.292755 | − | 0.956188i | \(-0.405428\pi\) |
−0.847836 | + | 0.530259i | \(0.822095\pi\) | |||||||
\(174\) | −9.34397 | + | 4.71082i | −0.708364 | + | 0.357126i | ||||
\(175\) | 0.442076 | + | 1.50278i | 0.0334178 | + | 0.113600i | ||||
\(176\) | −9.22838 | − | 0.885179i | −0.695615 | − | 0.0667228i | ||||
\(177\) | −2.70582 | + | 1.56221i | −0.203382 | + | 0.117423i | ||||
\(178\) | −21.0436 | − | 1.19301i | −1.57729 | − | 0.0894198i | ||||
\(179\) | −1.51954 | + | 11.5421i | −0.113576 | + | 0.862694i | 0.835906 | + | 0.548872i | \(0.184943\pi\) |
−0.949482 | + | 0.313822i | \(0.898391\pi\) | |||||||
\(180\) | 1.30446 | + | 4.54606i | 0.0972289 | + | 0.338843i | ||||
\(181\) | 3.57147 | − | 8.62229i | 0.265465 | − | 0.640889i | −0.733794 | − | 0.679372i | \(-0.762252\pi\) |
0.999259 | + | 0.0384824i | \(0.0122523\pi\) | |||||||
\(182\) | −4.80021 | + | 3.44266i | −0.355815 | + | 0.255187i | ||||
\(183\) | 6.28152 | − | 6.28152i | 0.464343 | − | 0.464343i | ||||
\(184\) | −5.28945 | − | 14.3256i | −0.389944 | − | 1.05609i | ||||
\(185\) | 18.6518 | − | 4.99774i | 1.37131 | − | 0.367441i | ||||
\(186\) | −0.847386 | − | 0.408635i | −0.0621333 | − | 0.0299625i | ||||
\(187\) | 1.63641 | + | 12.4298i | 0.119666 | + | 0.908956i | ||||
\(188\) | 15.1535 | − | 20.4867i | 1.10519 | − | 1.49414i | ||||
\(189\) | −0.952789 | + | 2.46824i | −0.0693052 | + | 0.179538i | ||||
\(190\) | −2.12857 | − | 0.701681i | −0.154423 | − | 0.0509053i | ||||
\(191\) | −10.7289 | − | 18.5830i | −0.776315 | − | 1.34462i | −0.934053 | − | 0.357136i | \(-0.883753\pi\) |
0.157738 | − | 0.987481i | \(-0.449580\pi\) | |||||||
\(192\) | 3.62801 | − | 7.13005i | 0.261829 | − | 0.514567i | ||||
\(193\) | 0.347438 | − | 0.601780i | 0.0250091 | − | 0.0433170i | −0.853250 | − | 0.521502i | \(-0.825372\pi\) |
0.878259 | + | 0.478185i | \(0.158705\pi\) | |||||||
\(194\) | −3.07064 | − | 14.7559i | −0.220459 | − | 1.05941i | ||||
\(195\) | 1.42869 | + | 3.44915i | 0.102310 | + | 0.246999i | ||||
\(196\) | 12.5513 | − | 6.20197i | 0.896523 | − | 0.442998i | ||||
\(197\) | 16.8311 | + | 6.97168i | 1.19917 | + | 0.496712i | 0.890730 | − | 0.454532i | \(-0.150194\pi\) |
0.308438 | + | 0.951244i | \(0.400194\pi\) | |||||||
\(198\) | −2.70914 | + | 1.84495i | −0.192530 | + | 0.131115i | ||||
\(199\) | 1.26713 | − | 0.339526i | 0.0898243 | − | 0.0240683i | −0.213627 | − | 0.976915i | \(-0.568528\pi\) |
0.303451 | + | 0.952847i | \(0.401861\pi\) | |||||||
\(200\) | −1.28781 | − | 1.07046i | −0.0910616 | − | 0.0756928i | ||||
\(201\) | 7.56982 | + | 2.02833i | 0.533934 | + | 0.143067i | ||||
\(202\) | −11.2557 | − | 9.69671i | −0.791946 | − | 0.682258i | ||||
\(203\) | 17.8993 | − | 7.92905i | 1.25629 | − | 0.556510i | ||||
\(204\) | −10.4977 | − | 2.61533i | −0.734987 | − | 0.183110i | ||||
\(205\) | −15.9225 | − | 12.2177i | −1.11207 | − | 0.853324i | ||||
\(206\) | −11.1150 | − | 0.630136i | −0.774422 | − | 0.0439037i | ||||
\(207\) | −4.67573 | − | 2.69954i | −0.324986 | − | 0.187631i | ||||
\(208\) | 2.20938 | − | 5.91586i | 0.153193 | − | 0.410191i | ||||
\(209\) | − | 1.55325i | − | 0.107441i | ||||||
\(210\) | −2.01260 | − | 8.61617i | −0.138883 | − | 0.594572i | ||||
\(211\) | −14.1630 | + | 5.86649i | −0.975018 | + | 0.403866i | −0.812578 | − | 0.582853i | \(-0.801936\pi\) |
−0.162440 | + | 0.986718i | \(0.551936\pi\) | |||||||
\(212\) | 0.969754 | + | 0.537311i | 0.0666030 | + | 0.0369027i | ||||
\(213\) | 7.37938 | + | 9.61699i | 0.505626 | + | 0.658945i | ||||
\(214\) | 1.94188 | + | 5.55905i | 0.132744 | + | 0.380009i | ||||
\(215\) | 8.91182 | + | 2.38791i | 0.607781 | + | 0.162854i | ||||
\(216\) | −0.624985 | − | 2.75851i | −0.0425248 | − | 0.187693i | ||||
\(217\) | 1.54515 | + | 0.842710i | 0.104892 | + | 0.0572069i | ||||
\(218\) | −11.9262 | + | 0.887368i | −0.807743 | + | 0.0601001i | ||||
\(219\) | 0.0803592 | + | 0.610388i | 0.00543017 | + | 0.0412462i | ||||
\(220\) | 4.01554 | − | 10.1995i | 0.270727 | − | 0.687651i | ||||
\(221\) | −8.46682 | − | 1.11468i | −0.569540 | − | 0.0749814i | ||||
\(222\) | −11.3058 | + | 2.35269i | −0.758794 | + | 0.157902i | ||||
\(223\) | 25.7871 | 1.72683 | 0.863417 | − | 0.504492i | \(-0.168320\pi\) | ||||
0.863417 | + | 0.504492i | \(0.168320\pi\) | |||||||
\(224\) | −7.44513 | + | 12.9835i | −0.497449 | + | 0.867493i | ||||
\(225\) | −0.592064 | −0.0394710 | ||||||||
\(226\) | 13.9641 | − | 2.90586i | 0.928875 | − | 0.193295i | ||||
\(227\) | −3.82268 | − | 0.503265i | −0.253720 | − | 0.0334029i | 0.00259326 | − | 0.999997i | \(-0.499175\pi\) |
−0.256313 | + | 0.966594i | \(0.582508\pi\) | |||||||
\(228\) | 1.24717 | + | 0.491011i | 0.0825961 | + | 0.0325180i | ||||
\(229\) | 2.18889 | + | 16.6263i | 0.144646 | + | 1.09870i | 0.897659 | + | 0.440690i | \(0.145266\pi\) |
−0.753013 | + | 0.658005i | \(0.771400\pi\) | |||||||
\(230\) | 18.0062 | − | 1.33975i | 1.18729 | − | 0.0883404i | ||||
\(231\) | 5.23441 | − | 3.19414i | 0.344399 | − | 0.210159i | ||||
\(232\) | −11.1629 | + | 17.7030i | −0.732883 | + | 1.16226i | ||||
\(233\) | −13.4897 | − | 3.61455i | −0.883738 | − | 0.236797i | −0.211719 | − | 0.977331i | \(-0.567906\pi\) |
−0.672019 | + | 0.740534i | \(0.734573\pi\) | |||||||
\(234\) | −0.736286 | − | 2.10778i | −0.0481325 | − | 0.137790i | ||||
\(235\) | 18.3416 | + | 23.9032i | 1.19647 | + | 1.55928i | ||||
\(236\) | −3.02849 | + | 5.46590i | −0.197138 | + | 0.355800i | ||||
\(237\) | −8.86918 | + | 3.67373i | −0.576115 | + | 0.238635i | ||||
\(238\) | 19.3705 | + | 5.86763i | 1.25561 | + | 0.380342i | ||||
\(239\) | 1.65418i | 0.107000i | 0.998568 | + | 0.0535001i | \(0.0170377\pi\) | ||||
−0.998568 | + | 0.0535001i | \(0.982962\pi\) | |||||||
\(240\) | 6.92025 | + | 6.44850i | 0.446700 | + | 0.416249i | ||||
\(241\) | −3.75684 | − | 2.16902i | −0.242000 | − | 0.139719i | 0.374096 | − | 0.927390i | \(-0.377953\pi\) |
−0.616095 | + | 0.787672i | \(0.711286\pi\) | |||||||
\(242\) | −7.94692 | − | 0.450529i | −0.510848 | − | 0.0289611i | ||||
\(243\) | −0.793353 | − | 0.608761i | −0.0508936 | − | 0.0390521i | ||||
\(244\) | 4.29503 | − | 17.2399i | 0.274961 | − | 1.10367i | ||||
\(245\) | 2.95545 | + | 16.2873i | 0.188816 | + | 1.04056i | ||||
\(246\) | 9.09341 | + | 7.83393i | 0.579775 | + | 0.499473i | ||||
\(247\) | 1.02198 | + | 0.273839i | 0.0650270 | + | 0.0174239i | ||||
\(248\) | −1.87360 | + | 0.172679i | −0.118973 | + | 0.0109651i | ||||
\(249\) | −4.94473 | + | 1.32494i | −0.313359 | + | 0.0839644i | ||||
\(250\) | −12.1843 | + | 8.29760i | −0.770600 | + | 0.524786i | ||||
\(251\) | 7.39110 | + | 3.06149i | 0.466522 | + | 0.193240i | 0.603546 | − | 0.797328i | \(-0.293754\pi\) |
−0.137024 | + | 0.990568i | \(0.543754\pi\) | |||||||
\(252\) | 0.910027 | + | 5.21266i | 0.0573263 | + | 0.328367i | ||||
\(253\) | 4.78865 | + | 11.5608i | 0.301060 | + | 0.726822i | ||||
\(254\) | 3.40894 | + | 16.3816i | 0.213896 | + | 1.02787i | ||||
\(255\) | 6.39583 | − | 11.0779i | 0.400522 | − | 0.693725i | ||||
\(256\) | −1.12780 | − | 15.9602i | −0.0704876 | − | 0.997513i | ||||
\(257\) | 1.29274 | + | 2.23909i | 0.0806387 | + | 0.139670i | 0.903524 | − | 0.428537i | \(-0.140971\pi\) |
−0.822886 | + | 0.568207i | \(0.807637\pi\) | |||||||
\(258\) | −5.24023 | − | 1.72744i | −0.326243 | − | 0.107546i | ||||
\(259\) | 21.3446 | − | 3.33958i | 1.32629 | − | 0.207511i | ||||
\(260\) | 6.00295 | + | 4.44025i | 0.372287 | + | 0.275372i | ||||
\(261\) | 0.965813 | + | 7.33608i | 0.0597823 | + | 0.454092i | ||||
\(262\) | 2.94219 | + | 1.41881i | 0.181769 | + | 0.0876545i | ||||
\(263\) | −0.626655 | + | 0.167912i | −0.0386412 | + | 0.0103539i | −0.278088 | − | 0.960556i | \(-0.589701\pi\) |
0.239447 | + | 0.970910i | \(0.423034\pi\) | |||||||
\(264\) | −2.74284 | + | 5.95399i | −0.168810 | + | 0.366443i | ||||
\(265\) | −0.926914 | + | 0.926914i | −0.0569398 | + | 0.0569398i | ||||
\(266\) | −2.28446 | − | 1.03399i | −0.140069 | − | 0.0633977i | ||||
\(267\) | −5.70351 | + | 13.7695i | −0.349049 | + | 0.842679i | ||||
\(268\) | 15.0657 | − | 4.32302i | 0.920286 | − | 0.264070i | ||||
\(269\) | 1.40685 | − | 10.6861i | 0.0857771 | − | 0.651542i | −0.893507 | − | 0.449050i | \(-0.851763\pi\) |
0.979284 | − | 0.202492i | \(-0.0649040\pi\) | |||||||
\(270\) | 3.33891 | + | 0.189290i | 0.203199 | + | 0.0115198i | ||||
\(271\) | 1.00335 | − | 0.579282i | 0.0609489 | − | 0.0351889i | −0.469216 | − | 0.883083i | \(-0.655463\pi\) |
0.530165 | + | 0.847895i | \(0.322130\pi\) | |||||||
\(272\) | −20.6894 | + | 6.33368i | −1.25448 | + | 0.384036i | ||||
\(273\) | 1.17880 | + | 4.00717i | 0.0713440 | + | 0.242525i | ||||
\(274\) | −9.73874 | + | 4.90985i | −0.588339 | + | 0.296615i | ||||
\(275\) | 1.08865 | + | 0.835353i | 0.0656483 | + | 0.0503737i | ||||
\(276\) | −10.7965 | + | 0.190432i | −0.649871 | + | 0.0114626i | ||||
\(277\) | 5.41715 | + | 7.05977i | 0.325485 | + | 0.424180i | 0.927221 | − | 0.374515i | \(-0.122191\pi\) |
−0.601736 | + | 0.798695i | \(0.705524\pi\) | |||||||
\(278\) | −26.7089 | − | 5.06831i | −1.60189 | − | 0.303977i | ||||
\(279\) | −0.470384 | + | 0.470384i | −0.0281612 | + | 0.0281612i | ||||
\(280\) | −12.3279 | − | 12.6956i | −0.736733 | − | 0.758707i | ||||
\(281\) | 18.3199 | + | 18.3199i | 1.09287 | + | 1.09287i | 0.995221 | + | 0.0976504i | \(0.0311327\pi\) |
0.0976504 | + | 0.995221i | \(0.468867\pi\) | |||||||
\(282\) | −10.1423 | − | 14.8930i | −0.603964 | − | 0.886865i | ||||
\(283\) | 15.3022 | − | 11.7418i | 0.909621 | − | 0.697977i | −0.0439856 | − | 0.999032i | \(-0.514006\pi\) |
0.953607 | + | 0.301055i | \(0.0973389\pi\) | |||||||
\(284\) | 22.5586 | + | 8.88129i | 1.33861 | + | 0.527007i | ||||
\(285\) | −0.964764 | + | 1.25730i | −0.0571477 | + | 0.0744763i | ||||
\(286\) | −1.62006 | + | 4.91450i | −0.0957961 | + | 0.290600i | ||||
\(287\) | −16.2590 | − | 15.4873i | −0.959738 | − | 0.914189i | ||||
\(288\) | −3.91366 | − | 4.08452i | −0.230615 | − | 0.240682i | ||||
\(289\) | 6.13025 | + | 10.6179i | 0.360603 | + | 0.624583i | ||||
\(290\) | −16.4793 | − | 18.4601i | −0.967696 | − | 1.08401i | ||||
\(291\) | −10.5663 | − | 1.39109i | −0.619410 | − | 0.0815469i | ||||
\(292\) | 0.766686 | + | 0.963494i | 0.0448669 | + | 0.0563842i | ||||
\(293\) | −25.7712 | − | 10.6748i | −1.50557 | − | 0.623626i | −0.530930 | − | 0.847416i | \(-0.678157\pi\) |
−0.974637 | + | 0.223790i | \(0.928157\pi\) | |||||||
\(294\) | −1.21331 | − | 9.82486i | −0.0707619 | − | 0.572997i | ||||
\(295\) | −5.22444 | − | 5.22444i | −0.304179 | − | 0.304179i | ||||
\(296\) | −16.9556 | + | 15.6822i | −0.985523 | + | 0.911510i | ||||
\(297\) | 0.599860 | + | 2.23871i | 0.0348074 | + | 0.129903i | ||||
\(298\) | −3.11124 | − | 8.90660i | −0.180229 | − | 0.515946i | ||||
\(299\) | −8.45082 | + | 1.11257i | −0.488723 | + | 0.0643417i | ||||
\(300\) | −1.01488 | + | 0.610057i | −0.0585944 | + | 0.0352217i | ||||
\(301\) | 9.62993 | + | 3.71735i | 0.555060 | + | 0.214264i | ||||
\(302\) | 18.4390 | − | 9.29614i | 1.06104 | − | 0.534933i | ||||
\(303\) | −9.09772 | + | 5.25257i | −0.522651 | + | 0.301752i | ||||
\(304\) | 2.64377 | − | 0.443411i | 0.151631 | − | 0.0254314i | ||||
\(305\) | 18.1927 | + | 10.5035i | 1.04171 | + | 0.601431i | ||||
\(306\) | −4.19380 | + | 6.39789i | −0.239744 | + | 0.365743i | ||||
\(307\) | 21.6083 | − | 8.95046i | 1.23325 | − | 0.510830i | 0.331653 | − | 0.943401i | \(-0.392394\pi\) |
0.901600 | + | 0.432571i | \(0.142394\pi\) | |||||||
\(308\) | 5.68132 | − | 10.8687i | 0.323723 | − | 0.619302i | ||||
\(309\) | −3.01254 | + | 7.27291i | −0.171377 | + | 0.413741i | ||||
\(310\) | 0.414757 | − | 2.18568i | 0.0235566 | − | 0.124138i | ||||
\(311\) | 2.41801 | + | 9.02415i | 0.137113 | + | 0.511713i | 0.999980 | + | 0.00628214i | \(0.00199968\pi\) |
−0.862867 | + | 0.505431i | \(0.831334\pi\) | |||||||
\(312\) | −3.43394 | − | 2.85438i | −0.194408 | − | 0.161597i | ||||
\(313\) | 6.47507 | − | 24.1653i | 0.365992 | − | 1.36590i | −0.500078 | − | 0.865980i | \(-0.666695\pi\) |
0.866071 | − | 0.499922i | \(-0.166638\pi\) | |||||||
\(314\) | 1.65137 | + | 22.1943i | 0.0931921 | + | 1.25250i | ||||
\(315\) | −6.22104 | − | 0.665671i | −0.350516 | − | 0.0375063i | ||||
\(316\) | −11.4177 | + | 15.4360i | −0.642295 | + | 0.868345i | ||||
\(317\) | −11.2308 | + | 14.6363i | −0.630787 | + | 0.822058i | −0.993969 | − | 0.109661i | \(-0.965024\pi\) |
0.363182 | + | 0.931718i | \(0.381690\pi\) | |||||||
\(318\) | 0.584817 | − | 0.522065i | 0.0327949 | − | 0.0292760i | ||||
\(319\) | 8.57471 | − | 14.8518i | 0.480091 | − | 0.831543i | ||||
\(320\) | 18.5068 | + | 3.92311i | 1.03456 | + | 0.219308i | ||||
\(321\) | 4.16377 | 0.232399 | ||||||||
\(322\) | 20.1909 | + | 0.652991i | 1.12520 | + | 0.0363898i | ||||
\(323\) | −1.38729 | − | 3.34922i | −0.0771911 | − | 0.186356i | ||||
\(324\) | −1.98719 | − | 0.226042i | −0.110399 | − | 0.0125579i | ||||
\(325\) | −0.741560 | + | 0.569019i | −0.0411344 | + | 0.0315635i | ||||
\(326\) | 9.66756 | + | 4.66199i | 0.535437 | + | 0.258204i | ||||
\(327\) | −2.18868 | + | 8.16826i | −0.121034 | + | 0.451706i | ||||
\(328\) | 23.6594 | + | 4.05874i | 1.30637 | + | 0.224107i | ||||
\(329\) | 17.5592 | + | 28.7751i | 0.968069 | + | 1.58643i | ||||
\(330\) | −5.87231 | − | 5.05897i | −0.323260 | − | 0.278487i | ||||
\(331\) | 13.8510 | − | 1.82352i | 0.761318 | − | 0.100229i | 0.260137 | − | 0.965572i | \(-0.416232\pi\) |
0.501181 | + | 0.865342i | \(0.332899\pi\) | |||||||
\(332\) | −7.11078 | + | 7.36613i | −0.390255 | + | 0.404269i | ||||
\(333\) | −1.06583 | + | 8.09580i | −0.0584072 | + | 0.443647i | ||||
\(334\) | −18.0443 | + | 27.5276i | −0.987340 | + | 1.50624i | ||||
\(335\) | 18.5322i | 1.01252i | ||||||||
\(336\) | 6.93100 | + | 7.99758i | 0.378117 | + | 0.436304i | ||||
\(337\) | − | 30.7038i | − | 1.67254i | −0.548315 | − | 0.836272i | \(-0.684730\pi\) | ||
0.548315 | − | 0.836272i | \(-0.315270\pi\) | |||||||
\(338\) | 12.4279 | + | 8.14647i | 0.675990 | + | 0.443110i | ||||
\(339\) | 1.31644 | − | 9.99932i | 0.0714990 | − | 0.543089i | ||||
\(340\) | −0.451177 | − | 25.5793i | −0.0244685 | − | 1.38723i | ||||
\(341\) | 1.52859 | − | 0.201242i | 0.0827776 | − | 0.0108979i | ||||
\(342\) | 0.618600 | − | 0.718054i | 0.0334501 | − | 0.0388279i | ||||
\(343\) | 1.34904 | + | 18.4711i | 0.0728416 | + | 0.997344i | ||||
\(344\) | −10.7625 | + | 2.43841i | −0.580273 | + | 0.131470i | ||||
\(345\) | 3.30447 | − | 12.3324i | 0.177907 | − | 0.663956i | ||||
\(346\) | −5.65302 | + | 11.7227i | −0.303908 | + | 0.630215i | ||||
\(347\) | 26.1412 | − | 20.0589i | 1.40333 | − | 1.07682i | 0.417578 | − | 0.908641i | \(-0.362879\pi\) |
0.985757 | − | 0.168175i | \(-0.0537874\pi\) | |||||||
\(348\) | 9.21456 | + | 11.5799i | 0.493952 | + | 0.620750i | ||||
\(349\) | 1.84418 | + | 4.45225i | 0.0987169 | + | 0.238324i | 0.965521 | − | 0.260325i | \(-0.0838298\pi\) |
−0.866804 | + | 0.498649i | \(0.833830\pi\) | |||||||
\(350\) | 1.95331 | − | 1.04506i | 0.104409 | − | 0.0558607i | ||||
\(351\) | −1.57874 | −0.0842670 | ||||||||
\(352\) | 1.43330 | + | 13.0322i | 0.0763952 | + | 0.694619i | ||||
\(353\) | −4.41603 | + | 7.64879i | −0.235042 | + | 0.407104i | −0.959285 | − | 0.282440i | \(-0.908856\pi\) |
0.724243 | + | 0.689545i | \(0.242189\pi\) | |||||||
\(354\) | 2.94256 | + | 3.29625i | 0.156395 | + | 0.175194i | ||||
\(355\) | −17.4504 | + | 22.7418i | −0.926172 | + | 1.20701i | ||||
\(356\) | 4.41130 | + | 29.4797i | 0.233798 | + | 1.56242i | ||||
\(357\) | 8.43391 | − | 11.5626i | 0.446370 | − | 0.611955i | ||||
\(358\) | 16.4184 | − | 1.22161i | 0.867739 | − | 0.0645641i | ||||
\(359\) | −5.05253 | + | 18.8563i | −0.266663 | + | 0.995198i | 0.694562 | + | 0.719432i | \(0.255598\pi\) |
−0.961225 | + | 0.275766i | \(0.911069\pi\) | |||||||
\(360\) | 5.91842 | − | 3.11591i | 0.311928 | − | 0.164223i | ||||
\(361\) | −4.80132 | − | 17.9188i | −0.252701 | − | 0.943093i | ||||
\(362\) | −12.9670 | − | 2.46064i | −0.681532 | − | 0.129328i | ||||
\(363\) | −2.15387 | + | 5.19991i | −0.113049 | + | 0.272925i | ||||
\(364\) | 6.14958 | + | 5.65425i | 0.322325 | + | 0.296363i | ||||
\(365\) | −1.34505 | + | 0.557139i | −0.0704033 | + | 0.0291620i | ||||
\(366\) | −10.5069 | − | 6.88727i | −0.549206 | − | 0.360003i | ||||
\(367\) | −12.0996 | − | 6.98569i | −0.631593 | − | 0.364650i | 0.149776 | − | 0.988720i | \(-0.452145\pi\) |
−0.781369 | + | 0.624070i | \(0.785478\pi\) | |||||||
\(368\) | −18.3105 | + | 11.4510i | −0.954501 | + | 0.596925i | ||||
\(369\) | 7.35002 | − | 4.24353i | 0.382627 | − | 0.220910i | ||||
\(370\) | −12.2936 | − | 24.3845i | −0.639113 | − | 1.26769i | ||||
\(371\) | −1.14151 | + | 0.920831i | −0.0592641 | + | 0.0478072i | ||||
\(372\) | −0.321628 | + | 1.29099i | −0.0166756 | + | 0.0669345i | ||||
\(373\) | −30.9653 | + | 4.07667i | −1.60332 | + | 0.211082i | −0.878462 | − | 0.477812i | \(-0.841430\pi\) |
−0.724863 | + | 0.688893i | \(0.758097\pi\) | |||||||
\(374\) | 16.7382 | − | 5.84696i | 0.865512 | − | 0.302339i | ||||
\(375\) | 2.69785 | + | 10.0685i | 0.139316 | + | 0.519936i | ||||
\(376\) | −32.7309 | − | 15.0783i | −1.68797 | − | 0.777602i | ||||
\(377\) | 8.26021 | + | 8.26021i | 0.425423 | + | 0.425423i | ||||
\(378\) | 3.69192 | + | 0.608039i | 0.189892 | + | 0.0312742i | ||||
\(379\) | −0.203780 | − | 0.0844084i | −0.0104675 | − | 0.00433577i | 0.377444 | − | 0.926033i | \(-0.376803\pi\) |
−0.387911 | + | 0.921697i | \(0.626803\pi\) | |||||||
\(380\) | −0.358231 | + | 3.14929i | −0.0183769 | + | 0.161555i | ||||
\(381\) | 11.7305 | + | 1.54434i | 0.600969 | + | 0.0791191i | ||||
\(382\) | −22.6379 | + | 20.2088i | −1.15826 | + | 1.03397i | ||||
\(383\) | −11.7963 | − | 20.4318i | −0.602762 | − | 1.04401i | −0.992401 | − | 0.123047i | \(-0.960734\pi\) |
0.389639 | − | 0.920968i | \(-0.372600\pi\) | |||||||
\(384\) | −10.9172 | − | 2.96886i | −0.557117 | − | 0.151504i | ||||
\(385\) | 10.4997 | + | 10.0014i | 0.535113 | + | 0.509717i | ||||
\(386\) | −0.933299 | − | 0.307661i | −0.0475037 | − | 0.0156595i | ||||
\(387\) | −2.37511 | + | 3.09530i | −0.120734 | + | 0.157343i | ||||
\(388\) | −19.5456 | + | 8.50293i | −0.992278 | + | 0.431671i | ||||
\(389\) | −26.6690 | + | 20.4639i | −1.35217 | + | 1.03756i | −0.357561 | + | 0.933890i | \(0.616391\pi\) |
−0.994612 | + | 0.103668i | \(0.966942\pi\) | |||||||
\(390\) | 4.36390 | − | 2.97186i | 0.220975 | − | 0.150486i | ||||
\(391\) | 20.6512 | + | 20.6512i | 1.04438 | + | 1.04438i | ||||
\(392\) | −12.2032 | − | 15.5911i | −0.616357 | − | 0.787467i | ||||
\(393\) | 1.63321 | − | 1.63321i | 0.0823846 | − | 0.0823846i | ||||
\(394\) | 4.80328 | − | 25.3123i | 0.241986 | − | 1.27521i | ||||
\(395\) | −13.8198 | − | 18.0103i | −0.695349 | − | 0.906196i | ||||
\(396\) | 3.33499 | + | 3.21938i | 0.167590 | + | 0.161780i | ||||
\(397\) | 8.65144 | + | 6.63848i | 0.434203 | + | 0.333176i | 0.802626 | − | 0.596482i | \(-0.203435\pi\) |
−0.368423 | + | 0.929658i | \(0.620102\pi\) | |||||||
\(398\) | −0.835176 | − | 1.65658i | −0.0418636 | − | 0.0830369i | ||||
\(399\) | −1.22294 | + | 1.28388i | −0.0612238 | + | 0.0642743i | ||||
\(400\) | −1.11106 | + | 2.09145i | −0.0555532 | + | 0.104573i | ||||
\(401\) | 29.1711 | − | 16.8419i | 1.45673 | − | 0.841045i | 0.457885 | − | 0.889012i | \(-0.348607\pi\) |
0.998849 | + | 0.0479662i | \(0.0152740\pi\) | |||||||
\(402\) | 0.627311 | − | 11.0652i | 0.0312874 | − | 0.551883i | ||||
\(403\) | −0.137081 | + | 1.04123i | −0.00682847 | + | 0.0518674i | ||||
\(404\) | −10.1826 | + | 18.3779i | −0.506605 | + | 0.914334i | ||||
\(405\) | 0.904952 | − | 2.18475i | 0.0449674 | − | 0.108561i | ||||
\(406\) | −16.1353 | − | 22.4980i | −0.800783 | − | 1.11656i | ||||
\(407\) | 13.3823 | − | 13.3823i | 0.663335 | − | 0.663335i | ||||
\(408\) | −0.596466 | + | 15.2882i | −0.0295295 | + | 0.756877i | ||||
\(409\) | −11.1083 | + | 2.97646i | −0.549270 | + | 0.147176i | −0.522772 | − | 0.852473i | \(-0.675102\pi\) |
−0.0264976 | + | 0.999649i | \(0.508435\pi\) | |||||||
\(410\) | −12.3285 | + | 25.5657i | −0.608863 | + | 1.26260i | ||||
\(411\) | 1.00662 | + | 7.64602i | 0.0496528 | + | 0.377150i | ||||
\(412\) | 2.33001 | + | 15.5709i | 0.114791 | + | 0.767124i | ||||
\(413\) | −5.19016 | − | 6.43398i | −0.255391 | − | 0.316595i | ||||
\(414\) | −2.39048 | + | 7.25159i | −0.117486 | + | 0.356396i | ||||
\(415\) | −6.05278 | − | 10.4837i | −0.297119 | − | 0.514625i | ||||
\(416\) | −8.82739 | − | 1.35453i | −0.432798 | − | 0.0664111i | ||||
\(417\) | −9.61154 | + | 16.6477i | −0.470679 | + | 0.815240i | ||||
\(418\) | −2.15056 | + | 0.447522i | −0.105187 | + | 0.0218890i | ||||
\(419\) | 0.662805 | + | 1.60015i | 0.0323802 | + | 0.0781726i | 0.939242 | − | 0.343254i | \(-0.111529\pi\) |
−0.906862 | + | 0.421427i | \(0.861529\pi\) | |||||||
\(420\) | −11.3497 | + | 5.26904i | −0.553807 | + | 0.257103i | ||||
\(421\) | 1.35123 | + | 0.559697i | 0.0658548 | + | 0.0272780i | 0.415368 | − | 0.909654i | \(-0.363653\pi\) |
−0.349513 | + | 0.936932i | \(0.613653\pi\) | |||||||
\(422\) | 12.2031 | + | 17.9191i | 0.594037 | + | 0.872289i | ||||
\(423\) | −12.3069 | + | 3.29762i | −0.598381 | + | 0.160336i | ||||
\(424\) | 0.464530 | − | 1.49749i | 0.0225596 | − | 0.0727243i | ||||
\(425\) | 3.09352 | + | 0.828907i | 0.150058 | + | 0.0402079i | ||||
\(426\) | 11.1891 | − | 12.9880i | 0.542113 | − | 0.629270i | ||||
\(427\) | 18.9886 | + | 13.8506i | 0.918923 | + | 0.670276i | ||||
\(428\) | 7.13730 | − | 4.29030i | 0.344994 | − | 0.207380i | ||||
\(429\) | 2.90290 | + | 2.22747i | 0.140153 | + | 0.107543i | ||||
\(430\) | 0.738523 | − | 13.0269i | 0.0356148 | − | 0.628212i | ||||
\(431\) | 25.1019 | + | 14.4926i | 1.20912 | + | 0.698084i | 0.962566 | − | 0.271047i | \(-0.0873697\pi\) |
0.246550 | + | 0.969130i | \(0.420703\pi\) | |||||||
\(432\) | −3.63924 | + | 1.66011i | −0.175093 | + | 0.0798719i | ||||
\(433\) | − | 33.0493i | − | 1.58825i | −0.607754 | − | 0.794125i | \(-0.707930\pi\) | ||
0.607754 | − | 0.794125i | \(-0.292070\pi\) | |||||||
\(434\) | 0.721588 | − | 2.38215i | 0.0346373 | − | 0.114347i | ||||
\(435\) | −16.1658 | + | 6.69609i | −0.775090 | + | 0.321053i | ||||
\(436\) | 4.66478 | + | 16.2568i | 0.223402 | + | 0.778558i | ||||
\(437\) | −2.20269 | − | 2.87061i | −0.105369 | − | 0.137320i | ||||
\(438\) | 0.821962 | − | 0.287126i | 0.0392749 | − | 0.0137194i | ||||
\(439\) | −9.35360 | − | 2.50629i | −0.446423 | − | 0.119619i | 0.0286021 | − | 0.999591i | \(-0.490894\pi\) |
−0.475025 | + | 0.879972i | \(0.657561\pi\) | |||||||
\(440\) | −15.2787 | − | 2.62104i | −0.728384 | − | 0.124953i | ||||
\(441\) | −6.84152 | − | 1.48109i | −0.325787 | − | 0.0705280i | ||||
\(442\) | 0.896128 | + | 12.0439i | 0.0426244 | + | 0.572871i | ||||
\(443\) | 0.529622 | + | 4.02288i | 0.0251631 | + | 0.191133i | 0.999410 | − | 0.0343520i | \(-0.0109367\pi\) |
−0.974247 | + | 0.225485i | \(0.927603\pi\) | |||||||
\(444\) | 6.51484 | + | 14.9756i | 0.309181 | + | 0.710710i | ||||
\(445\) | −34.9427 | − | 4.60030i | −1.65644 | − | 0.218075i | ||||
\(446\) | −7.42978 | − | 35.7036i | −0.351810 | − | 1.69062i | ||||
\(447\) | −6.67111 | −0.315533 | ||||||||
\(448\) | 20.1214 | + | 6.56739i | 0.950645 | + | 0.310280i | ||||
\(449\) | −26.3581 | −1.24392 | −0.621958 | − | 0.783051i | \(-0.713663\pi\) | ||||
−0.621958 | + | 0.783051i | \(0.713663\pi\) | |||||||
\(450\) | 0.170585 | + | 0.819744i | 0.00804147 | + | 0.0386431i | ||||
\(451\) | −19.5021 | − | 2.56749i | −0.918316 | − | 0.120899i | ||||
\(452\) | −8.04664 | − | 18.4967i | −0.378482 | − | 0.870013i | ||||
\(453\) | −1.90589 | − | 14.4767i | −0.0895467 | − | 0.680175i | ||||
\(454\) | 0.404592 | + | 5.43770i | 0.0189884 | + | 0.255204i | ||||
\(455\) | −8.43161 | + | 5.14514i | −0.395280 | + | 0.241208i | ||||
\(456\) | 0.320495 | − | 1.86825i | 0.0150086 | − | 0.0874887i | ||||
\(457\) | −24.2171 | − | 6.48896i | −1.13283 | − | 0.303541i | −0.356765 | − | 0.934194i | \(-0.616120\pi\) |
−0.776064 | + | 0.630654i | \(0.782787\pi\) | |||||||
\(458\) | 22.3893 | − | 7.82100i | 1.04618 | − | 0.365451i | ||||
\(459\) | 3.29297 | + | 4.29148i | 0.153703 | + | 0.200309i | ||||
\(460\) | −7.04289 | − | 24.5445i | −0.328376 | − | 1.14439i | ||||
\(461\) | −24.9203 | + | 10.3223i | −1.16065 | + | 0.480759i | −0.878093 | − | 0.478490i | \(-0.841184\pi\) |
−0.282562 | + | 0.959249i | \(0.591184\pi\) | |||||||
\(462\) | −5.93060 | − | 6.32702i | −0.275916 | − | 0.294360i | ||||
\(463\) | − | 27.2787i | − | 1.26775i | −0.773436 | − | 0.633874i | \(-0.781464\pi\) | ||
0.773436 | − | 0.633874i | \(-0.218536\pi\) | |||||||
\(464\) | 27.7270 | + | 10.3551i | 1.28719 | + | 0.480724i | ||||
\(465\) | −1.36234 | − | 0.786545i | −0.0631768 | − | 0.0364752i | ||||
\(466\) | −1.11789 | + | 19.7186i | −0.0517853 | + | 0.913446i | ||||
\(467\) | 10.7453 | + | 8.24516i | 0.497233 | + | 0.381540i | 0.826714 | − | 0.562622i | \(-0.190207\pi\) |
−0.329481 | + | 0.944162i | \(0.606874\pi\) | |||||||
\(468\) | −2.70619 | + | 1.62672i | −0.125094 | + | 0.0751951i | ||||
\(469\) | −2.20605 | + | 20.6167i | −0.101866 | + | 0.951989i | ||||
\(470\) | 27.8107 | − | 32.2819i | 1.28281 | − | 1.48905i | ||||
\(471\) | 15.2009 | + | 4.07307i | 0.700421 | + | 0.187677i | ||||
\(472\) | 8.44040 | + | 2.61827i | 0.388501 | + | 0.120516i | ||||
\(473\) | 8.73442 | − | 2.34038i | 0.401609 | − | 0.107611i | ||||
\(474\) | 7.64187 | + | 11.2214i | 0.351003 | + | 0.515415i | ||||
\(475\) | −0.366583 | − | 0.151844i | −0.0168200 | − | 0.00696706i | ||||
\(476\) | 2.54300 | − | 28.5101i | 0.116558 | − | 1.30676i | ||||
\(477\) | −0.212133 | − | 0.512134i | −0.00971289 | − | 0.0234490i | ||||
\(478\) | 2.29030 | − | 0.476602i | 0.104756 | − | 0.0217993i | ||||
\(479\) | −8.03535 | + | 13.9176i | −0.367145 | + | 0.635913i | −0.989118 | − | 0.147125i | \(-0.952998\pi\) |
0.621973 | + | 0.783039i | \(0.286331\pi\) | |||||||
\(480\) | 6.93443 | − | 11.4394i | 0.316512 | − | 0.522135i | ||||
\(481\) | 6.44573 | + | 11.1643i | 0.293900 | + | 0.509050i | ||||
\(482\) | −1.92070 | + | 5.82649i | −0.0874853 | + | 0.265389i | ||||
\(483\) | 5.14418 | − | 13.3262i | 0.234068 | − | 0.606363i | ||||
\(484\) | 1.66588 | + | 11.1327i | 0.0757220 | + | 0.506034i | ||||
\(485\) | −3.28958 | − | 24.9868i | −0.149372 | − | 1.13459i | ||||
\(486\) | −0.614282 | + | 1.27384i | −0.0278644 | + | 0.0577824i | ||||
\(487\) | 15.8921 | − | 4.25829i | 0.720142 | − | 0.192961i | 0.119907 | − | 0.992785i | \(-0.461740\pi\) |
0.600235 | + | 0.799824i | \(0.295074\pi\) | |||||||
\(488\) | −25.1070 | − | 0.979545i | −1.13654 | − | 0.0443419i | ||||
\(489\) | 5.36647 | − | 5.36647i | 0.242680 | − | 0.242680i | ||||
\(490\) | 21.6991 | − | 8.78467i | 0.980266 | − | 0.396851i | ||||
\(491\) | 9.86195 | − | 23.8089i | 0.445064 | − | 1.07448i | −0.529085 | − | 0.848569i | \(-0.677465\pi\) |
0.974148 | − | 0.225910i | \(-0.0725354\pi\) | |||||||
\(492\) | 8.22650 | − | 14.8474i | 0.370879 | − | 0.669373i | ||||
\(493\) | 5.22437 | − | 39.6830i | 0.235294 | − | 1.78723i | ||||
\(494\) | 0.0846916 | − | 1.49388i | 0.00381045 | − | 0.0672130i | ||||
\(495\) | −4.74647 | + | 2.74038i | −0.213338 | + | 0.123171i | ||||
\(496\) | 0.778903 | + | 2.54434i | 0.0349738 | + | 0.114244i | ||||
\(497\) | −22.1203 | + | 23.2225i | −0.992232 | + | 1.04167i | ||||
\(498\) | 3.25912 | + | 6.46450i | 0.146045 | + | 0.289681i | ||||
\(499\) | −12.6630 | − | 9.71665i | −0.566873 | − | 0.434977i | 0.285149 | − | 0.958483i | \(-0.407957\pi\) |
−0.852022 | + | 0.523506i | \(0.824624\pi\) | |||||||
\(500\) | 14.9990 | + | 14.4791i | 0.670776 | + | 0.647523i | ||||
\(501\) | 14.1684 | + | 18.4646i | 0.632996 | + | 0.824936i | ||||
\(502\) | 2.10928 | − | 11.1154i | 0.0941417 | − | 0.496107i | ||||
\(503\) | −13.9989 | + | 13.9989i | −0.624181 | + | 0.624181i | −0.946598 | − | 0.322417i | \(-0.895505\pi\) |
0.322417 | + | 0.946598i | \(0.395505\pi\) | |||||||
\(504\) | 6.95501 | − | 2.76185i | 0.309801 | − | 0.123023i | ||||
\(505\) | −17.5660 | − | 17.5660i | −0.781677 | − | 0.781677i | ||||
\(506\) | 14.6269 | − | 9.96104i | 0.650243 | − | 0.442822i | ||||
\(507\) | 8.33622 | − | 6.39661i | 0.370225 | − | 0.284083i | ||||
\(508\) | 21.6990 | − | 9.43972i | 0.962737 | − | 0.418820i | ||||
\(509\) | −15.0853 | + | 19.6596i | −0.668645 | + | 0.871395i | −0.997329 | − | 0.0730450i | \(-0.976728\pi\) |
0.328684 | + | 0.944440i | \(0.393395\pi\) | |||||||
\(510\) | −17.1807 | − | 5.66360i | −0.760775 | − | 0.250789i | ||||
\(511\) | −1.56266 | + | 0.459691i | −0.0691280 | + | 0.0203355i | ||||
\(512\) | −21.7728 | + | 6.15995i | −0.962231 | + | 0.272234i | ||||
\(513\) | −0.335087 | − | 0.580388i | −0.0147945 | − | 0.0256248i | ||||
\(514\) | 2.72767 | − | 2.43499i | 0.120312 | − | 0.107403i | ||||
\(515\) | −18.4564 | − | 2.42983i | −0.813287 | − | 0.107071i | ||||
\(516\) | −0.881914 | + | 7.75309i | −0.0388241 | + | 0.341311i | ||||
\(517\) | 27.2818 | + | 11.3005i | 1.19985 | + | 0.496995i | ||||
\(518\) | −10.7736 | − | 28.5905i | −0.473366 | − | 1.25620i | ||||
\(519\) | 6.50726 | + | 6.50726i | 0.285637 | + | 0.285637i | ||||
\(520\) | 4.41819 | − | 9.59072i | 0.193750 | − | 0.420581i | ||||
\(521\) | −1.59988 | − | 5.97085i | −0.0700922 | − | 0.261588i | 0.921984 | − | 0.387229i | \(-0.126568\pi\) |
−0.992076 | + | 0.125642i | \(0.959901\pi\) | |||||||
\(522\) | 9.87892 | − | 3.45089i | 0.432388 | − | 0.151041i | ||||
\(523\) | 14.2637 | − | 1.87786i | 0.623710 | − | 0.0821129i | 0.187954 | − | 0.982178i | \(-0.439814\pi\) |
0.435756 | + | 0.900065i | \(0.356481\pi\) | |||||||
\(524\) | 1.11672 | − | 4.48241i | 0.0487840 | − | 0.195815i | ||||
\(525\) | −0.242142 | − | 1.54763i | −0.0105679 | − | 0.0675440i | ||||
\(526\) | 0.413034 | + | 0.819259i | 0.0180092 | + | 0.0357214i | ||||
\(527\) | 3.11630 | − | 1.79920i | 0.135748 | − | 0.0783742i | ||||
\(528\) | 9.03389 | + | 2.08215i | 0.393149 | + | 0.0906140i | ||||
\(529\) | 5.32605 | + | 3.07500i | 0.231567 | + | 0.133695i | ||||
\(530\) | 1.55042 | + | 1.01630i | 0.0673461 | + | 0.0441452i | ||||
\(531\) | 2.88658 | − | 1.19566i | 0.125267 | − | 0.0518873i | ||||
\(532\) | −0.773410 | + | 3.46086i | −0.0335316 | + | 0.150047i | ||||
\(533\) | 5.12753 | − | 12.3790i | 0.222098 | − | 0.536192i | ||||
\(534\) | 20.7079 | + | 3.92955i | 0.896117 | + | 0.170048i | ||||
\(535\) | 2.54841 | + | 9.51078i | 0.110177 | + | 0.411187i | ||||
\(536\) | −10.3262 | − | 19.6138i | −0.446023 | − | 0.847186i | ||||
\(537\) | 3.01308 | − | 11.2450i | 0.130024 | − | 0.485256i | ||||
\(538\) | −15.2008 | + | 1.13101i | −0.655352 | + | 0.0487615i | ||||
\(539\) | 10.4901 | + | 12.3761i | 0.451840 | + | 0.533078i | ||||
\(540\) | −0.699923 | − | 4.67743i | −0.0301199 | − | 0.201285i | ||||
\(541\) | 22.5979 | − | 29.4501i | 0.971558 | − | 1.26616i | 0.00763712 | − | 0.999971i | \(-0.497569\pi\) |
0.963921 | − | 0.266188i | \(-0.0857643\pi\) | |||||||
\(542\) | −1.09113 | − | 1.22228i | −0.0468680 | − | 0.0525015i | ||||
\(543\) | −4.66635 | + | 8.08235i | −0.200252 | + | 0.346847i | ||||
\(544\) | 14.7304 | + | 26.8208i | 0.631559 | + | 1.14993i | ||||
\(545\) | −19.9973 | −0.856591 | ||||||||
\(546\) | 5.20850 | − | 2.78665i | 0.222903 | − | 0.119258i | ||||
\(547\) | 0.249191 | + | 0.601601i | 0.0106547 | + | 0.0257226i | 0.929117 | − | 0.369785i | \(-0.120569\pi\) |
−0.918463 | + | 0.395508i | \(0.870569\pi\) | |||||||
\(548\) | 9.60387 | + | 12.0692i | 0.410257 | + | 0.515570i | ||||
\(549\) | −7.04769 | + | 5.40788i | −0.300788 | + | 0.230803i | ||||
\(550\) | 0.842928 | − | 1.74798i | 0.0359426 | − | 0.0745341i | ||||
\(551\) | −1.28345 | + | 4.78990i | −0.0546768 | + | 0.204057i | ||||
\(552\) | 3.37434 | + | 14.8934i | 0.143621 | + | 0.633906i | ||||
\(553\) | −13.2303 | − | 21.6811i | −0.562608 | − | 0.921975i | ||||
\(554\) | 8.21383 | − | 9.53439i | 0.348972 | − | 0.405077i | ||||
\(555\) | −19.1446 | + | 2.52043i | −0.812642 | + | 0.106986i | ||||
\(556\) | 0.678021 | + | 38.4402i | 0.0287545 | + | 1.63023i | ||||
\(557\) | 4.56128 | − | 34.6463i | 0.193267 | − | 1.46801i | −0.569848 | − | 0.821750i | \(-0.692998\pi\) |
0.763115 | − | 0.646262i | \(-0.223669\pi\) | |||||||
\(558\) | 0.786799 | + | 0.515745i | 0.0333078 | + | 0.0218332i | ||||
\(559\) | 6.15953i | 0.260520i | ||||||||
\(560\) | −14.0258 | + | 20.7265i | −0.592699 | + | 0.875854i | ||||
\(561\) | − | 12.5370i | − | 0.529314i | ||||||
\(562\) | 20.0865 | − | 30.6431i | 0.847298 | − | 1.29260i | ||||
\(563\) | 4.97147 | − | 37.7621i | 0.209523 | − | 1.59148i | −0.486643 | − | 0.873601i | \(-0.661779\pi\) |
0.696166 | − | 0.717881i | \(-0.254888\pi\) | |||||||
\(564\) | −17.6979 | + | 18.3335i | −0.745218 | + | 0.771979i | ||||
\(565\) | 23.6459 | − | 3.11305i | 0.994792 | − | 0.130967i | ||||
\(566\) | −20.6660 | − | 17.8037i | −0.868656 | − | 0.748344i | ||||
\(567\) | 1.26681 | − | 2.32276i | 0.0532009 | − | 0.0975466i | ||||
\(568\) | 5.79704 | − | 33.7924i | 0.243238 | − | 1.41790i | ||||
\(569\) | 3.38834 | − | 12.6455i | 0.142047 | − | 0.530126i | −0.857822 | − | 0.513946i | \(-0.828183\pi\) |
0.999869 | − | 0.0161794i | \(-0.00515030\pi\) | |||||||
\(570\) | 2.01877 | + | 0.973512i | 0.0845571 | + | 0.0407759i | ||||
\(571\) | 24.0305 | − | 18.4393i | 1.00565 | − | 0.771659i | 0.0319445 | − | 0.999490i | \(-0.489830\pi\) |
0.973701 | + | 0.227831i | \(0.0731634\pi\) | |||||||
\(572\) | 7.27115 | + | 0.827094i | 0.304022 | + | 0.0345825i | ||||
\(573\) | 8.21153 | + | 19.8244i | 0.343042 | + | 0.828176i | ||||
\(574\) | −16.7585 | + | 26.9736i | −0.699486 | + | 1.12586i | ||||
\(575\) | 3.19660 | 0.133307 | ||||||||
\(576\) | −4.52763 | + | 6.59550i | −0.188651 | + | 0.274812i | ||||
\(577\) | −20.9025 | + | 36.2042i | −0.870183 | + | 1.50720i | −0.00837693 | + | 0.999965i | \(0.502666\pi\) |
−0.861807 | + | 0.507237i | \(0.830667\pi\) | |||||||
\(578\) | 12.9348 | − | 11.5469i | 0.538017 | − | 0.480287i | ||||
\(579\) | −0.423013 | + | 0.551282i | −0.0175798 | + | 0.0229105i | ||||
\(580\) | −20.8109 | + | 28.1351i | −0.864127 | + | 1.16825i | ||||
\(581\) | −5.48560 | − | 12.3834i | −0.227581 | − | 0.513750i | ||||
\(582\) | 1.11834 | + | 15.0305i | 0.0463567 | + | 0.623033i | ||||
\(583\) | −0.332520 | + | 1.24098i | −0.0137716 | + | 0.0513963i | ||||
\(584\) | 1.11311 | − | 1.33912i | 0.0460608 | − | 0.0554131i | ||||
\(585\) | −0.966258 | − | 3.60613i | −0.0399499 | − | 0.149095i | ||||
\(586\) | −7.35460 | + | 38.7571i | −0.303816 | + | 1.60104i | ||||
\(587\) | −1.03090 | + | 2.48882i | −0.0425499 | + | 0.102724i | −0.943726 | − | 0.330729i | \(-0.892705\pi\) |
0.901176 | + | 0.433454i | \(0.142705\pi\) | |||||||
\(588\) | −13.2535 | + | 4.51063i | −0.546563 | + | 0.186015i | ||||
\(589\) | −0.411880 | + | 0.170606i | −0.0169712 | + | 0.00702971i | ||||
\(590\) | −5.72825 | + | 8.73878i | −0.235828 | + | 0.359770i | ||||
\(591\) | −15.7772 | − | 9.10894i | −0.648985 | − | 0.374692i | ||||
\(592\) | 26.5981 | + | 18.9575i | 1.09317 | + | 0.779150i | ||||
\(593\) | −0.868236 | + | 0.501276i | −0.0356542 | + | 0.0205849i | −0.517721 | − | 0.855549i | \(-0.673220\pi\) |
0.482067 | + | 0.876134i | \(0.339886\pi\) | |||||||
\(594\) | 2.92678 | − | 1.47556i | 0.120087 | − | 0.0605428i | ||||
\(595\) | 31.5728 | + | 12.1878i | 1.29436 | + | 0.499649i | ||||
\(596\) | −11.4353 | + | 6.87385i | −0.468406 | + | 0.281564i | ||||
\(597\) | −1.30060 | + | 0.171228i | −0.0532302 | + | 0.00700789i | ||||
\(598\) | 3.97526 | + | 11.3801i | 0.162561 | + | 0.465365i | ||||
\(599\) | 7.85279 | + | 29.3070i | 0.320856 | + | 1.19745i | 0.918412 | + | 0.395624i | \(0.129472\pi\) |
−0.597556 | + | 0.801827i | \(0.703862\pi\) | |||||||
\(600\) | 1.13706 | + | 1.22939i | 0.0464205 | + | 0.0501897i | ||||
\(601\) | 20.7560 | + | 20.7560i | 0.846656 | + | 0.846656i | 0.989714 | − | 0.143058i | \(-0.0456936\pi\) |
−0.143058 | + | 0.989714i | \(0.545694\pi\) | |||||||
\(602\) | 2.37229 | − | 14.4042i | 0.0966874 | − | 0.587071i | ||||
\(603\) | −7.24031 | − | 2.99903i | −0.294848 | − | 0.122130i | ||||
\(604\) | −18.1836 | − | 22.8514i | −0.739882 | − | 0.929809i | ||||
\(605\) | −13.1958 | − | 1.73726i | −0.536485 | − | 0.0706296i | ||||
\(606\) | 9.89370 | + | 11.0829i | 0.401904 | + | 0.450212i | ||||
\(607\) | −0.456878 | − | 0.791335i | −0.0185441 | − | 0.0321193i | 0.856604 | − | 0.515974i | \(-0.172570\pi\) |
−0.875149 | + | 0.483854i | \(0.839236\pi\) | |||||||
\(608\) | −1.37565 | − | 3.53268i | −0.0557899 | − | 0.143269i | ||||
\(609\) | −18.7811 | + | 5.52488i | −0.761050 | + | 0.223880i | ||||
\(610\) | 9.30105 | − | 28.2150i | 0.376588 | − | 1.14239i | ||||
\(611\) | −12.2451 | + | 15.9581i | −0.495383 | + | 0.645596i | ||||
\(612\) | 10.0665 | + | 3.96318i | 0.406916 | + | 0.160202i | ||||
\(613\) | −17.6376 | + | 13.5338i | −0.712375 | + | 0.546624i | −0.900146 | − | 0.435588i | \(-0.856540\pi\) |
0.187771 | + | 0.982213i | \(0.439874\pi\) | |||||||
\(614\) | −18.6182 | − | 27.3391i | −0.751369 | − | 1.10332i | ||||
\(615\) | 14.1915 | + | 14.1915i | 0.572257 | + | 0.572257i | ||||
\(616\) | −16.6852 | − | 4.73460i | −0.672266 | − | 0.190763i | ||||
\(617\) | 20.8467 | − | 20.8467i | 0.839257 | − | 0.839257i | −0.149504 | − | 0.988761i | \(-0.547768\pi\) |
0.988761 | + | 0.149504i | \(0.0477676\pi\) | |||||||
\(618\) | 10.9377 | + | 2.07555i | 0.439979 | + | 0.0834908i | ||||
\(619\) | 3.92029 | + | 5.10903i | 0.157570 | + | 0.205349i | 0.865466 | − | 0.500967i | \(-0.167022\pi\) |
−0.707896 | + | 0.706316i | \(0.750356\pi\) | |||||||
\(620\) | −3.14569 | + | 0.0554848i | −0.126334 | + | 0.00222832i | ||||
\(621\) | 4.28337 | + | 3.28675i | 0.171886 | + | 0.131893i | ||||
\(622\) | 11.7977 | − | 5.94791i | 0.473046 | − | 0.238489i | ||||
\(623\) | −38.3254 | − | 9.27726i | −1.53547 | − | 0.371686i | ||||
\(624\) | −2.96265 | + | 5.57687i | −0.118601 | + | 0.223253i | ||||
\(625\) | −23.9108 | + | 13.8049i | −0.956431 | + | 0.552196i | ||||
\(626\) | −35.3237 | − | 2.00258i | −1.41182 | − | 0.0800391i | ||||
\(627\) | −0.202740 | + | 1.53996i | −0.00809665 | + | 0.0615002i | ||||
\(628\) | 30.2534 | − | 8.68104i | 1.20724 | − | 0.346411i | ||||
\(629\) | 16.9033 | − | 40.8082i | 0.673979 | − | 1.62713i | ||||
\(630\) | 0.870747 | + | 8.80515i | 0.0346914 | + | 0.350806i | ||||
\(631\) | 27.4214 | − | 27.4214i | 1.09163 | − | 1.09163i | 0.0962739 | − | 0.995355i | \(-0.469308\pi\) |
0.995355 | − | 0.0962739i | \(-0.0306925\pi\) | |||||||
\(632\) | 24.6617 | + | 11.3610i | 0.980988 | + | 0.451915i | ||||
\(633\) | 14.8075 | − | 3.96766i | 0.588546 | − | 0.157700i | ||||
\(634\) | 23.5006 | + | 11.3327i | 0.933328 | + | 0.450078i | ||||
\(635\) | 3.65199 | + | 27.7396i | 0.144925 | + | 1.10081i | ||||
\(636\) | −0.891324 | − | 0.659293i | −0.0353433 | − | 0.0261427i | ||||
\(637\) | −9.99244 | + | 4.72016i | −0.395915 | + | 0.187020i | ||||
\(638\) | −23.0337 | − | 7.59303i | −0.911912 | − | 0.300611i | ||||
\(639\) | −6.06097 | − | 10.4979i | −0.239768 | − | 0.415291i | ||||
\(640\) | 0.0995795 | − | 26.7540i | 0.00393623 | − | 1.05754i | ||||
\(641\) | 13.7147 | − | 23.7545i | 0.541697 | − | 0.938248i | −0.457109 | − | 0.889411i | \(-0.651115\pi\) |
0.998807 | − | 0.0488370i | \(-0.0155515\pi\) | |||||||
\(642\) | −1.19966 | − | 5.76495i | −0.0473469 | − | 0.227525i | ||||
\(643\) | 9.76526 | + | 23.5754i | 0.385104 | + | 0.929724i | 0.990961 | + | 0.134150i | \(0.0428304\pi\) |
−0.605857 | + | 0.795574i | \(0.707170\pi\) | |||||||
\(644\) | −4.91330 | − | 28.1435i | −0.193611 | − | 1.10901i | ||||
\(645\) | −8.52389 | − | 3.53071i | −0.335628 | − | 0.139022i | ||||
\(646\) | −4.23747 | + | 2.88576i | −0.166721 | + | 0.113539i | ||||
\(647\) | −5.60190 | + | 1.50102i | −0.220233 | + | 0.0590113i | −0.367248 | − | 0.930123i | \(-0.619700\pi\) |
0.147015 | + | 0.989134i | \(0.453033\pi\) | |||||||
\(648\) | 0.259580 | + | 2.81649i | 0.0101973 | + | 0.110642i | ||||
\(649\) | −6.99466 | − | 1.87421i | −0.274564 | − | 0.0735693i | ||||
\(650\) | 1.00150 | + | 0.862784i | 0.0392819 | + | 0.0338412i | ||||
\(651\) | −1.42194 | − | 1.03718i | −0.0557301 | − | 0.0406504i | ||||
\(652\) | 3.66935 | − | 14.7285i | 0.143703 | − | 0.576811i | ||||
\(653\) | 30.6378 | + | 23.5092i | 1.19895 | + | 0.919986i | 0.998219 | − | 0.0596609i | \(-0.0190020\pi\) |
0.200730 | + | 0.979647i | \(0.435669\pi\) | |||||||
\(654\) | 11.9400 | + | 0.676904i | 0.466890 | + | 0.0264690i | ||||
\(655\) | 4.73014 | + | 2.73095i | 0.184822 | + | 0.106707i | ||||
\(656\) | −1.19721 | − | 33.9272i | −0.0467432 | − | 1.32463i | ||||
\(657\) | − | 0.615655i | − | 0.0240190i | ||||||
\(658\) | 34.7816 | − | 32.6023i | 1.35593 | − | 1.27097i | ||||
\(659\) | −5.82990 | + | 2.41482i | −0.227101 | + | 0.0940682i | −0.493332 | − | 0.869841i | \(-0.664221\pi\) |
0.266232 | + | 0.963909i | \(0.414221\pi\) | |||||||
\(660\) | −5.31248 | + | 9.58812i | −0.206788 | + | 0.373217i | ||||
\(661\) | 4.67030 | + | 6.08645i | 0.181653 | + | 0.236735i | 0.875300 | − | 0.483580i | \(-0.160664\pi\) |
−0.693647 | + | 0.720315i | \(0.743997\pi\) | |||||||
\(662\) | −6.51549 | − | 18.6520i | −0.253232 | − | 0.724931i | ||||
\(663\) | 8.24889 | + | 2.21028i | 0.320360 | + | 0.0858403i | ||||
\(664\) | 12.2476 | + | 7.72293i | 0.475297 | + | 0.299708i | ||||
\(665\) | −3.68110 | − | 2.00763i | −0.142747 | − | 0.0778527i | ||||
\(666\) | 11.5161 | − | 0.856858i | 0.446242 | − | 0.0332026i | ||||
\(667\) | −5.21449 | − | 39.6080i | −0.201906 | − | 1.53363i | ||||
\(668\) | 43.3124 | + | 17.0520i | 1.67581 | + | 0.659763i | ||||
\(669\) | −25.5665 | − | 3.36589i | −0.988458 | − | 0.130133i | ||||
\(670\) | 25.6589 | − | 5.33950i | 0.991288 | − | 0.206283i | ||||
\(671\) | 20.5889 | 0.794827 | ||||||||
\(672\) | 9.07612 | − | 11.9006i | 0.350119 | − | 0.459075i | ||||
\(673\) | −13.5409 | −0.521964 | −0.260982 | − | 0.965344i | \(-0.584046\pi\) | ||||
−0.260982 | + | 0.965344i | \(0.584046\pi\) | |||||||
\(674\) | −42.5111 | + | 8.84638i | −1.63747 | + | 0.340750i | ||||
\(675\) | 0.586999 | + | 0.0772799i | 0.0225936 | + | 0.00297450i | ||||
\(676\) | 7.69850 | − | 19.5543i | 0.296096 | − | 0.752088i | ||||
\(677\) | −0.691021 | − | 5.24882i | −0.0265581 | − | 0.201729i | 0.973022 | − | 0.230713i | \(-0.0741059\pi\) |
−0.999580 | + | 0.0289846i | \(0.990773\pi\) | |||||||
\(678\) | −14.2239 | + | 1.05833i | −0.546265 | + | 0.0406448i | ||||
\(679\) | −0.685181 | − | 28.1888i | −0.0262948 | − | 1.08179i | ||||
\(680\) | −35.2860 | + | 7.99459i | −1.35315 | + | 0.306579i | ||||
\(681\) | 3.72428 | + | 0.997919i | 0.142715 | + | 0.0382403i | ||||
\(682\) | −0.719047 | − | 2.05843i | −0.0275337 | − | 0.0788213i | ||||
\(683\) | 22.0275 | + | 28.7068i | 0.842858 | + | 1.09843i | 0.993941 | + | 0.109913i | \(0.0350572\pi\) |
−0.151083 | + | 0.988521i | \(0.548276\pi\) | |||||||
\(684\) | −1.17241 | − | 0.649599i | −0.0448284 | − | 0.0248380i | ||||
\(685\) | −16.8488 | + | 6.97899i | −0.643758 | + | 0.266653i | ||||
\(686\) | 25.1855 | − | 7.18970i | 0.961586 | − | 0.274504i | ||||
\(687\) | − | 16.7697i | − | 0.639806i | ||||||
\(688\) | 6.47698 | + | 14.1986i | 0.246933 | + | 0.541318i | ||||
\(689\) | −0.757896 | − | 0.437572i | −0.0288735 | − | 0.0166702i | ||||
\(690\) | −18.0270 | − | 1.02199i | −0.686276 | − | 0.0389065i | ||||
\(691\) | −23.3232 | − | 17.8965i | −0.887257 | − | 0.680816i | 0.0610621 | − | 0.998134i | \(-0.480551\pi\) |
−0.948319 | + | 0.317318i | \(0.897218\pi\) | |||||||
\(692\) | 17.8594 | + | 4.44937i | 0.678913 | + | 0.169140i | ||||
\(693\) | −5.60655 | + | 2.48359i | −0.212975 | + | 0.0943438i | ||||
\(694\) | −35.3044 | − | 30.4146i | −1.34014 | − | 1.15452i | ||||
\(695\) | −43.9089 | − | 11.7654i | −1.66556 | − | 0.446286i | ||||
\(696\) | 13.3781 | − | 16.0945i | 0.507097 | − | 0.610059i | ||||
\(697\) | −44.3448 | + | 11.8821i | −1.67968 | + | 0.450068i | ||||
\(698\) | 5.63303 | − | 3.83615i | 0.213213 | − | 0.145200i | ||||
\(699\) | 12.9025 | + | 5.34438i | 0.488016 | + | 0.202143i | ||||
\(700\) | −2.00973 | − | 2.40336i | −0.0759605 | − | 0.0908384i | ||||
\(701\) | 6.00012 | + | 14.4856i | 0.226621 | + | 0.547113i | 0.995762 | − | 0.0919670i | \(-0.0293154\pi\) |
−0.769141 | + | 0.639080i | \(0.779315\pi\) | |||||||
\(702\) | 0.454867 | + | 2.18585i | 0.0171678 | + | 0.0824996i | ||||
\(703\) | −2.73621 | + | 4.73925i | −0.103198 | + | 0.178744i | ||||
\(704\) | 17.6308 | − | 5.73932i | 0.664487 | − | 0.216309i | ||||
\(705\) | −15.0647 | − | 26.0928i | −0.567369 | − | 0.982712i | ||||
\(706\) | 11.8625 | + | 3.91046i | 0.446451 | + | 0.147172i | ||||
\(707\) | −17.4507 | − | 21.6328i | −0.656303 | − | 0.813585i | ||||
\(708\) | 3.71603 | − | 5.02384i | 0.139657 | − | 0.188808i | ||||
\(709\) | −5.81147 | − | 44.1425i | −0.218255 | − | 1.65781i | −0.653077 | − | 0.757291i | \(-0.726522\pi\) |
0.434823 | − | 0.900516i | \(-0.356811\pi\) | |||||||
\(710\) | 36.5151 | + | 17.6087i | 1.37039 | + | 0.660841i | ||||
\(711\) | 9.27282 | − | 2.48464i | 0.347758 | − | 0.0931815i | ||||
\(712\) | 39.5453 | − | 14.6014i | 1.48202 | − | 0.547210i | ||||
\(713\) | 2.53964 | − | 2.53964i | 0.0951102 | − | 0.0951102i | ||||
\(714\) | −18.4389 | − | 8.34579i | −0.690060 | − | 0.312333i | ||||
\(715\) | −3.31124 | + | 7.99404i | −0.123833 | + | 0.298960i | ||||
\(716\) | −6.42185 | − | 22.3802i | −0.239996 | − | 0.836386i | ||||
\(717\) | 0.215914 | − | 1.64003i | 0.00806346 | − | 0.0612480i | ||||
\(718\) | 27.5633 | + | 1.56262i | 1.02865 | + | 0.0583166i | ||||
\(719\) | −8.24447 | + | 4.75994i | −0.307467 | + | 0.177516i | −0.645792 | − | 0.763513i | \(-0.723473\pi\) |
0.338326 | + | 0.941029i | \(0.390139\pi\) | |||||||
\(720\) | −6.01935 | − | 7.29661i | −0.224328 | − | 0.271928i | ||||
\(721\) | −20.2431 | − | 4.90016i | −0.753892 | − | 0.182491i | ||||
\(722\) | −23.4261 | + | 11.8104i | −0.871830 | + | 0.439539i | ||||
\(723\) | 3.44159 | + | 2.64083i | 0.127994 | + | 0.0982134i | ||||
\(724\) | 0.329175 | + | 18.6625i | 0.0122337 | + | 0.693586i | ||||
\(725\) | −2.66693 | − | 3.47561i | −0.0990472 | − | 0.129081i | ||||
\(726\) | 7.82013 | + | 1.48396i | 0.290232 | + | 0.0550748i | ||||
\(727\) | −23.2576 | + | 23.2576i | −0.862578 | + | 0.862578i | −0.991637 | − | 0.129059i | \(-0.958804\pi\) |
0.129059 | + | 0.991637i | \(0.458804\pi\) | |||||||
\(728\) | 6.05680 | − | 10.1435i | 0.224480 | − | 0.375944i | ||||
\(729\) | 0.707107 | + | 0.707107i | 0.0261891 | + | 0.0261891i | ||||
\(730\) | 1.15892 | + | 1.70177i | 0.0428937 | + | 0.0629855i | ||||
\(731\) | 16.7434 | − | 12.8477i | 0.619278 | − | 0.475188i | ||||
\(732\) | −6.50853 | + | 16.5318i | −0.240562 | + | 0.611031i | ||||
\(733\) | 1.59105 | − | 2.07350i | 0.0587668 | − | 0.0765863i | −0.763045 | − | 0.646345i | \(-0.776297\pi\) |
0.821812 | + | 0.569759i | \(0.192963\pi\) | |||||||
\(734\) | −6.18594 | + | 18.7652i | −0.228327 | + | 0.692637i | ||||
\(735\) | −0.804241 | − | 16.5337i | −0.0296649 | − | 0.609856i | ||||
\(736\) | 21.1301 | + | 22.0526i | 0.778867 | + | 0.812870i | ||||
\(737\) | 9.08167 | + | 15.7299i | 0.334527 | + | 0.579419i | ||||
\(738\) | −7.99308 | − | 8.95384i | −0.294229 | − | 0.329595i | ||||
\(739\) | 10.4361 | + | 1.37393i | 0.383897 | + | 0.0505410i | 0.320005 | − | 0.947416i | \(-0.396315\pi\) |
0.0638920 | + | 0.997957i | \(0.479649\pi\) | |||||||
\(740\) | −30.2196 | + | 24.0468i | −1.11089 | + | 0.883977i | ||||
\(741\) | −0.977494 | − | 0.404891i | −0.0359091 | − | 0.0148740i | ||||
\(742\) | 1.60383 | + | 1.31517i | 0.0588785 | + | 0.0482814i | ||||
\(743\) | 34.7918 | + | 34.7918i | 1.27639 | + | 1.27639i | 0.942676 | + | 0.333710i | \(0.108301\pi\) |
0.333710 | + | 0.942676i | \(0.391699\pi\) | |||||||
\(744\) | 1.88011 | + | 0.0733520i | 0.0689280 | + | 0.00268922i | ||||
\(745\) | −4.08301 | − | 15.2380i | −0.149590 | − | 0.558277i | ||||
\(746\) | 14.5661 | + | 41.6986i | 0.533302 | + | 1.52669i | ||||
\(747\) | 5.07536 | − | 0.668184i | 0.185698 | − | 0.0244476i | ||||
\(748\) | −12.9180 | − | 21.4903i | −0.472330 | − | 0.785763i | ||||
\(749\) | 1.70289 | + | 10.8839i | 0.0622223 | + | 0.397688i | ||||
\(750\) | 13.1631 | − | 6.63625i | 0.480648 | − | 0.242322i | ||||
\(751\) | 12.4912 | − | 7.21179i | 0.455810 | − | 0.263162i | −0.254471 | − | 0.967080i | \(-0.581901\pi\) |
0.710281 | + | 0.703918i | \(0.248568\pi\) | |||||||
\(752\) | −11.4462 | + | 49.6620i | −0.417401 | + | 1.81099i | ||||
\(753\) | −6.92826 | − | 4.00003i | −0.252480 | − | 0.145769i | ||||
\(754\) | 9.05677 | − | 13.8166i | 0.329828 | − | 0.503172i | ||||
\(755\) | 31.9009 | − | 13.2138i | 1.16099 | − | 0.480898i | ||||
\(756\) | −0.221853 | − | 5.28685i | −0.00806872 | − | 0.192281i | ||||
\(757\) | −4.00043 | + | 9.65790i | −0.145398 | + | 0.351022i | −0.979754 | − | 0.200203i | \(-0.935840\pi\) |
0.834356 | + | 0.551226i | \(0.185840\pi\) | |||||||
\(758\) | −0.0581549 | + | 0.306464i | −0.00211228 | + | 0.0111313i | ||||
\(759\) | −3.23869 | − | 12.0870i | −0.117557 | − | 0.438729i | ||||
\(760\) | 4.46357 | − | 0.411381i | 0.161911 | − | 0.0149224i | ||||
\(761\) | −2.05860 | + | 7.68282i | −0.0746243 | + | 0.278502i | −0.993148 | − | 0.116864i | \(-0.962716\pi\) |
0.918524 | + | 0.395366i | \(0.129382\pi\) | |||||||
\(762\) | −1.24155 | − | 16.6864i | −0.0449766 | − | 0.604484i | ||||
\(763\) | −22.2465 | − | 2.38045i | −0.805379 | − | 0.0861781i | ||||
\(764\) | 34.5026 | + | 25.5208i | 1.24826 | + | 0.923311i | ||||
\(765\) | −7.78707 | + | 10.1483i | −0.281542 | + | 0.366913i | ||||
\(766\) | −24.8901 | + | 22.2194i | −0.899316 | + | 0.802819i | ||||
\(767\) | 2.46632 | − | 4.27179i | 0.0890537 | − | 0.154246i | ||||
\(768\) | −0.965072 | + | 15.9709i | −0.0348240 | + | 0.576299i | ||||
\(769\) | −41.3627 | −1.49158 | −0.745788 | − | 0.666183i | \(-0.767927\pi\) | ||||
−0.745788 | + | 0.666183i | \(0.767927\pi\) | |||||||
\(770\) | 10.8223 | − | 17.4189i | 0.390007 | − | 0.627735i | ||||
\(771\) | −0.989418 | − | 2.38867i | −0.0356330 | − | 0.0860257i | ||||
\(772\) | −0.157071 | + | 1.38085i | −0.00565312 | + | 0.0496977i | ||||
\(773\) | −16.9749 | + | 13.0253i | −0.610543 | + | 0.468486i | −0.867162 | − | 0.498026i | \(-0.834058\pi\) |
0.256618 | + | 0.966513i | \(0.417392\pi\) | |||||||
\(774\) | 4.96993 | + | 2.39665i | 0.178640 | + | 0.0861457i | ||||
\(775\) | 0.101937 | − | 0.380435i | 0.00366169 | − | 0.0136656i | ||||
\(776\) | 17.4042 | + | 24.6121i | 0.624776 | + | 0.883522i | ||||
\(777\) | −21.5979 | + | 0.524977i | −0.774821 | + | 0.0188334i | ||||
\(778\) | 36.0172 | + | 31.0286i | 1.29128 | + | 1.11243i | ||||
\(779\) | 5.63915 | − | 0.742409i | 0.202044 | − | 0.0265996i | ||||
\(780\) | −5.37202 | − | 5.18580i | −0.192349 | − | 0.185681i | ||||
\(781\) | −3.66711 | + | 27.8545i | −0.131220 | + | 0.996712i | ||||
\(782\) | 22.6427 | − | 34.5427i | 0.809700 | − | 1.23524i | ||||
\(783\) | − | 7.39938i | − | 0.264432i | ||||||
\(784\) | −18.0706 | + | 21.3881i | −0.645380 | + | 0.763861i | ||||
\(785\) | 37.2145i | 1.32824i | ||||||||
\(786\) | −2.73183 | − | 1.79071i | −0.0974411 | − | 0.0638724i | ||||
\(787\) | −2.68457 | + | 20.3914i | −0.0956947 | + | 0.726874i | 0.874582 | + | 0.484877i | \(0.161136\pi\) |
−0.970277 | + | 0.241997i | \(0.922198\pi\) | |||||||
\(788\) | −36.4301 | + | 0.642567i | −1.29777 | + | 0.0228905i | ||||
\(789\) | 0.643211 | − | 0.0846803i | 0.0228989 | − | 0.00301470i | ||||
\(790\) | −20.9545 | + | 24.3233i | −0.745526 | + | 0.865386i | ||||
\(791\) | 26.6761 | − | 0.648412i | 0.948494 | − | 0.0230549i | ||||
\(792\) | 3.49653 | − | 5.54504i | 0.124244 | − | 0.197035i | ||||
\(793\) | −3.62984 | + | 13.5467i | −0.128899 | + | 0.481059i | ||||
\(794\) | 6.69868 | − | 13.8911i | 0.237727 | − | 0.492975i | ||||
\(795\) | 1.03997 | − | 0.797997i | 0.0368839 | − | 0.0283020i | ||||
\(796\) | −2.05299 | + | 1.63364i | −0.0727664 | + | 0.0579028i | ||||
\(797\) | −19.8873 | − | 48.0122i | −0.704444 | − | 1.70068i | −0.713437 | − | 0.700719i | \(-0.752863\pi\) |
0.00899271 | − | 0.999960i | \(-0.497137\pi\) | |||||||
\(798\) | 2.12995 | + | 1.32332i | 0.0753994 | + | 0.0468451i | ||||
\(799\) | 68.9199 | 2.43821 | ||||||||
\(800\) | 3.21585 | + | 0.935736i | 0.113697 | + | 0.0330833i | ||||
\(801\) | 7.45199 | − | 12.9072i | 0.263303 | − | 0.456054i | ||||
\(802\) | −31.7233 | − | 35.5364i | −1.12019 | − | 1.25483i | ||||
\(803\) | −0.868638 | + | 1.13203i | −0.0306536 | + | 0.0399485i | ||||
\(804\) | −15.5011 | + | 2.31956i | −0.546682 | + | 0.0818046i | ||||
\(805\) | 33.5878 | + | 3.59401i | 1.18382 | + | 0.126672i | ||||
\(806\) | 1.48114 | − | 0.110204i | 0.0521708 | − | 0.00388176i | ||||
\(807\) | −2.78963 | + | 10.4110i | −0.0981995 | + | 0.366485i | ||||
\(808\) | 28.3790 | + | 8.80335i | 0.998369 | + | 0.309701i | ||||
\(809\) | 8.61906 | + | 32.1668i | 0.303030 | + | 1.13092i | 0.934628 | + | 0.355627i | \(0.115733\pi\) |
−0.631598 | + | 0.775296i | \(0.717601\pi\) | |||||||
\(810\) | −3.28563 | − | 0.623485i | −0.115445 | − | 0.0219070i | ||||
\(811\) | 8.59513 | − | 20.7505i | 0.301816 | − | 0.728648i | −0.698104 | − | 0.715996i | \(-0.745973\pi\) |
0.999920 | − | 0.0126515i | \(-0.00402722\pi\) | |||||||
\(812\) | −26.5008 | + | 28.8224i | −0.929997 | + | 1.01147i | ||||
\(813\) | −1.07037 | + | 0.443363i | −0.0375396 | + | 0.0155494i | ||||
\(814\) | −22.3842 | − | 14.6728i | −0.784565 | − | 0.514280i | ||||
\(815\) | 15.5425 | + | 8.97345i | 0.544429 | + | 0.314326i | ||||
\(816\) | 21.3391 | − | 3.57899i | 0.747019 | − | 0.125290i | ||||
\(817\) | −2.26441 | + | 1.30736i | −0.0792216 | + | 0.0457386i | ||||
\(818\) | 7.32158 | + | 14.5224i | 0.255993 | + | 0.507765i | ||||
\(819\) | −0.645672 | − | 4.12675i | −0.0225616 | − | 0.144200i | ||||
\(820\) | 38.9491 | + | 9.70353i | 1.36016 | + | 0.338862i | ||||
\(821\) | 27.6783 | − | 3.64391i | 0.965978 | − | 0.127173i | 0.368998 | − | 0.929430i | \(-0.379701\pi\) |
0.596979 | + | 0.802257i | \(0.296367\pi\) | |||||||
\(822\) | 10.2963 | − | 3.59668i | 0.359124 | − | 0.125449i | ||||
\(823\) | −9.11084 | − | 34.0021i | −0.317584 | − | 1.18524i | −0.921560 | − | 0.388237i | \(-0.873084\pi\) |
0.603976 | − | 0.797003i | \(-0.293582\pi\) | |||||||
\(824\) | 20.8874 | − | 7.71231i | 0.727649 | − | 0.268671i | ||||
\(825\) | −0.970304 | − | 0.970304i | −0.0337817 | − | 0.0337817i | ||||
\(826\) | −7.41279 | + | 9.03980i | −0.257924 | + | 0.314535i | ||||
\(827\) | 34.0519 | + | 14.1048i | 1.18410 | + | 0.490470i | 0.885829 | − | 0.464011i | \(-0.153590\pi\) |
0.298271 | + | 0.954481i | \(0.403590\pi\) | |||||||
\(828\) | 10.7290 | + | 1.22042i | 0.372857 | + | 0.0424125i | ||||
\(829\) | 29.6031 | + | 3.89733i | 1.02816 | + | 0.135360i | 0.625689 | − | 0.780073i | \(-0.284818\pi\) |
0.402471 | + | 0.915433i | \(0.368151\pi\) | |||||||
\(830\) | −12.7713 | + | 11.4010i | −0.443299 | + | 0.395733i | ||||
\(831\) | −4.44932 | − | 7.70645i | −0.154345 | − | 0.267334i | ||||
\(832\) | 0.667932 | + | 12.6123i | 0.0231564 | + | 0.437251i | ||||
\(833\) | 33.6732 | + | 17.3170i | 1.16671 | + | 0.599998i | ||||
\(834\) | 25.8189 | + | 8.51116i | 0.894034 | + | 0.294717i | ||||
\(835\) | −33.5047 | + | 43.6642i | −1.15948 | + | 1.51106i | ||||
\(836\) | 1.23924 | + | 2.84862i | 0.0428599 | + | 0.0985217i | ||||
\(837\) | 0.527757 | − | 0.404962i | 0.0182420 | − | 0.0139975i | ||||
\(838\) | 2.02453 | − | 1.37873i | 0.0699362 | − | 0.0476273i | ||||
\(839\) | −27.6185 | − | 27.6185i | −0.953495 | − | 0.953495i | 0.0454703 | − | 0.998966i | \(-0.485521\pi\) |
−0.998966 | + | 0.0454703i | \(0.985521\pi\) | |||||||
\(840\) | 10.5653 | + | 14.1961i | 0.364539 | + | 0.489812i | ||||
\(841\) | −18.2086 | + | 18.2086i | −0.627881 | + | 0.627881i | ||||
\(842\) | 0.385615 | − | 2.03211i | 0.0132892 | − | 0.0700310i | ||||
\(843\) | −15.7719 | − | 20.5544i | −0.543213 | − | 0.707929i | ||||
\(844\) | 21.2940 | − | 22.0587i | 0.732970 | − | 0.759291i | ||||
\(845\) | 19.7131 | + | 15.1264i | 0.678152 | + | 0.520364i | ||||
\(846\) | 8.11158 | + | 16.0894i | 0.278882 | + | 0.553165i | ||||
\(847\) | −14.4732 | − | 3.50347i | −0.497305 | − | 0.120381i | ||||
\(848\) | −2.20719 | − | 0.211712i | −0.0757952 | − | 0.00727021i | ||||
\(849\) | −16.7039 | + | 9.64400i | −0.573276 | + | 0.330981i | ||||
\(850\) | 0.256361 | − | 4.52197i | 0.00879310 | − | 0.155102i | ||||
\(851\) | 5.75450 | − | 43.7098i | 0.197262 | − | 1.49835i | ||||
\(852\) | −21.2063 | − | 11.7498i | −0.726517 | − | 0.402541i | ||||
\(853\) | 2.34114 | − | 5.65202i | 0.0801592 | − | 0.193521i | −0.878719 | − | 0.477339i | \(-0.841601\pi\) |
0.958878 | + | 0.283818i | \(0.0916012\pi\) | |||||||
\(854\) | 13.7059 | − | 30.2813i | 0.469005 | − | 1.03621i | ||||
\(855\) | 1.12062 | − | 1.12062i | 0.0383244 | − | 0.0383244i | ||||
\(856\) | −7.99655 | − | 8.64585i | −0.273316 | − | 0.295509i | ||||
\(857\) | 35.5933 | − | 9.53719i | 1.21584 | − | 0.325784i | 0.406791 | − | 0.913521i | \(-0.366648\pi\) |
0.809052 | + | 0.587737i | \(0.199981\pi\) | |||||||
\(858\) | 2.24767 | − | 4.66099i | 0.0767342 | − | 0.159124i | ||||
\(859\) | −5.51009 | − | 41.8533i | −0.188002 | − | 1.42802i | −0.781864 | − | 0.623449i | \(-0.785731\pi\) |
0.593862 | − | 0.804567i | \(-0.297602\pi\) | |||||||
\(860\) | −18.2492 | + | 2.73078i | −0.622293 | + | 0.0931188i | ||||
\(861\) | 14.0984 | + | 17.4771i | 0.480472 | + | 0.595617i | ||||
\(862\) | 12.8334 | − | 38.9305i | 0.437108 | − | 1.32598i | ||||
\(863\) | 0.364820 | + | 0.631887i | 0.0124186 | + | 0.0215097i | 0.872168 | − | 0.489207i | \(-0.162714\pi\) |
−0.859749 | + | 0.510716i | \(0.829380\pi\) | |||||||
\(864\) | 3.34704 | + | 4.56041i | 0.113869 | + | 0.155148i | ||||
\(865\) | −10.8810 | + | 18.8465i | −0.369965 | + | 0.640799i | ||||
\(866\) | −45.7586 | + | 9.52217i | −1.55494 | + | 0.323576i | ||||
\(867\) | −4.69189 | − | 11.3272i | −0.159345 | − | 0.384693i | ||||
\(868\) | −3.50611 | − | 0.312733i | −0.119005 | − | 0.0106149i | ||||
\(869\) | −20.5559 | − | 8.51455i | −0.697313 | − | 0.288836i | ||||
\(870\) | 13.9288 | + | 20.4531i | 0.472229 | + | 0.693425i | ||||
\(871\) | −11.9508 | + | 3.20220i | −0.404937 | + | 0.108502i | ||||
\(872\) | 21.1643 | − | 11.1425i | 0.716715 | − | 0.377334i | ||||
\(873\) | 10.2944 | + | 2.75837i | 0.348412 | + | 0.0933567i | ||||
\(874\) | −3.33987 | + | 3.87682i | −0.112973 | + | 0.131136i | ||||
\(875\) | −25.2152 | + | 11.1698i | −0.852430 | + | 0.377610i | ||||
\(876\) | −0.634365 | − | 1.05532i | −0.0214332 | − | 0.0356561i | ||||
\(877\) | −31.3438 | − | 24.0509i | −1.05840 | − | 0.812143i | −0.0756646 | − | 0.997133i | \(-0.524108\pi\) |
−0.982740 | + | 0.184991i | \(0.940775\pi\) | |||||||
\(878\) | −0.775134 | + | 13.6727i | −0.0261595 | + | 0.461430i | ||||
\(879\) | 24.1573 | + | 13.9472i | 0.814807 | + | 0.470429i | ||||
\(880\) | 0.773131 | + | 21.9094i | 0.0260622 | + | 0.738565i | ||||
\(881\) | − | 8.83317i | − | 0.297597i | −0.988868 | − | 0.148799i | \(-0.952459\pi\) | ||
0.988868 | − | 0.148799i | \(-0.0475406\pi\) | |||||||
\(882\) | −0.0794673 | + | 9.89918i | −0.00267580 | + | 0.333323i | ||||
\(883\) | −22.4955 | + | 9.31792i | −0.757032 | + | 0.313573i | −0.727607 | − | 0.685994i | \(-0.759368\pi\) |
−0.0294251 | + | 0.999567i | \(0.509368\pi\) | |||||||
\(884\) | 16.4173 | − | 4.71083i | 0.552172 | − | 0.158442i | ||||
\(885\) | 4.49782 | + | 5.86167i | 0.151192 | + | 0.197038i | ||||
\(886\) | 5.41730 | − | 1.89236i | 0.181998 | − | 0.0635751i | ||||
\(887\) | 54.7122 | + | 14.6601i | 1.83705 | + | 0.492237i | 0.998608 | − | 0.0527465i | \(-0.0167975\pi\) |
0.838447 | + | 0.544984i | \(0.183464\pi\) | |||||||
\(888\) | 18.8575 | − | 13.3349i | 0.632815 | − | 0.447490i | ||||
\(889\) | 0.760668 | + | 31.2944i | 0.0255120 | + | 1.04958i | ||||
\(890\) | 3.69834 | + | 49.7055i | 0.123969 | + | 1.66613i | ||||
\(891\) | −0.302518 | − | 2.29785i | −0.0101347 | − | 0.0769810i | ||||
\(892\) | −47.2929 | + | 20.5738i | −1.58348 | + | 0.688863i | ||||
\(893\) | −8.46565 | − | 1.11452i | −0.283292 | − | 0.0372961i | ||||
\(894\) | 1.92208 | + | 9.23650i | 0.0642839 | + | 0.308915i | ||||
\(895\) | 27.5297 | 0.920215 | ||||||||
\(896\) | 3.29553 | − | 29.7513i | 0.110096 | − | 0.993921i | ||||
\(897\) | 8.52374 | 0.284599 | ||||||||
\(898\) | 7.59429 | + | 36.4942i | 0.253425 | + | 1.21783i | ||||
\(899\) | −4.88013 | − | 0.642481i | −0.162761 | − | 0.0214279i | ||||
\(900\) | 1.08583 | − | 0.472369i | 0.0361944 | − | 0.0157456i | ||||
\(901\) | 0.391387 | + | 2.97288i | 0.0130390 | + | 0.0990410i | ||||
\(902\) | 2.06410 | + | 27.7414i | 0.0687269 | + | 0.923687i | ||||
\(903\) | −9.06234 | − | 4.94251i | −0.301576 | − | 0.164476i | ||||
\(904\) | −23.2913 | + | 16.4703i | −0.774658 | + | 0.547793i | ||||
\(905\) | −21.3175 | − | 5.71202i | −0.708619 | − | 0.189874i | ||||
\(906\) | −19.4946 | + | 6.80984i | −0.647666 | + | 0.226242i | ||||
\(907\) | 24.7475 | + | 32.2515i | 0.821726 | + | 1.07089i | 0.996274 | + | 0.0862456i | \(0.0274870\pi\) |
−0.174548 | + | 0.984649i | \(0.555846\pi\) | |||||||
\(908\) | 7.41221 | − | 2.12689i | 0.245983 | − | 0.0705832i | ||||
\(909\) | 9.70549 | − | 4.02015i | 0.321911 | − | 0.133340i | ||||
\(910\) | 9.55304 | + | 10.1916i | 0.316680 | + | 0.337848i | ||||
\(911\) | − | 45.1339i | − | 1.49535i | −0.664063 | − | 0.747676i | \(-0.731169\pi\) | ||
0.664063 | − | 0.747676i | \(-0.268831\pi\) | |||||||
\(912\) | −2.67903 | + | 0.0945367i | −0.0887115 | + | 0.00313042i | ||||
\(913\) | −10.2750 | − | 5.93229i | −0.340054 | − | 0.196330i | ||||
\(914\) | −2.00688 | + | 35.3995i | −0.0663815 | + | 1.17091i | ||||
\(915\) | −16.6660 | − | 12.7883i | −0.550963 | − | 0.422768i | ||||
\(916\) | −17.2794 | − | 28.7458i | −0.570927 | − | 0.949788i | ||||
\(917\) | 4.93708 | + | 3.60119i | 0.163037 | + | 0.118922i | ||||
\(918\) | 4.99302 | − | 5.79576i | 0.164794 | − | 0.191288i | ||||
\(919\) | −6.09925 | − | 1.63429i | −0.201196 | − | 0.0539102i | 0.156814 | − | 0.987628i | \(-0.449878\pi\) |
−0.358009 | + | 0.933718i | \(0.616544\pi\) | |||||||
\(920\) | −31.9540 | + | 16.8230i | −1.05349 | + | 0.554638i | ||||
\(921\) | −22.5917 | + | 6.05344i | −0.744423 | + | 0.199468i | ||||
\(922\) | 21.4719 | + | 31.5294i | 0.707138 | + | 1.03837i | ||||
\(923\) | −17.6807 | − | 7.32357i | −0.581966 | − | 0.241058i | ||||
\(924\) | −7.05137 | + | 10.0342i | −0.231973 | + | 0.330100i | ||||
\(925\) | −1.85012 | − | 4.46658i | −0.0608315 | − | 0.146860i | ||||
\(926\) | −37.7688 | + | 7.85953i | −1.24116 | + | 0.258280i | ||||
\(927\) | 3.93607 | − | 6.81747i | 0.129278 | − | 0.223915i | ||||
\(928\) | 6.34851 | − | 41.3730i | 0.208400 | − | 1.35813i | ||||
\(929\) | −1.05911 | − | 1.83443i | −0.0347481 | − | 0.0601856i | 0.848128 | − | 0.529791i | \(-0.177730\pi\) |
−0.882876 | + | 0.469605i | \(0.844396\pi\) | |||||||
\(930\) | −0.696497 | + | 2.11285i | −0.0228391 | + | 0.0692829i | ||||
\(931\) | −3.85615 | − | 2.67164i | −0.126380 | − | 0.0875594i | ||||
\(932\) | 27.6235 | − | 4.13354i | 0.904839 | − | 0.135399i | ||||
\(933\) | −1.21944 | − | 9.26256i | −0.0399227 | − | 0.303243i | ||||
\(934\) | 8.31992 | − | 17.2530i | 0.272236 | − | 0.564536i | ||||
\(935\) | 28.6368 | − | 7.67321i | 0.936524 | − | 0.250941i | ||||
\(936\) | 3.03199 | + | 3.27818i | 0.0991036 | + | 0.107151i | ||||
\(937\) | 0.595163 | − | 0.595163i | 0.0194431 | − | 0.0194431i | −0.697318 | − | 0.716762i | \(-0.745624\pi\) |
0.716762 | + | 0.697318i | \(0.245624\pi\) | |||||||
\(938\) | 29.1805 | − | 2.88568i | 0.952776 | − | 0.0942206i | ||||
\(939\) | −9.57387 | + | 23.1134i | −0.312432 | + | 0.754276i | ||||
\(940\) | −52.7088 | − | 29.2044i | −1.71917 | − | 0.952541i | ||||
\(941\) | −1.96129 | + | 14.8975i | −0.0639362 | + | 0.485644i | 0.929281 | + | 0.369373i | \(0.120427\pi\) |
−0.993218 | + | 0.116271i | \(0.962906\pi\) | |||||||
\(942\) | 1.25970 | − | 22.2200i | 0.0410433 | − | 0.723967i | ||||
\(943\) | −39.6833 | + | 22.9112i | −1.29227 | + | 0.746090i | ||||
\(944\) | 1.19329 | − | 12.4406i | 0.0388382 | − | 0.404906i | ||||
\(945\) | 6.08093 | + | 1.47199i | 0.197813 | + | 0.0478837i | ||||
\(946\) | −5.75694 | − | 11.4190i | −0.187174 | − | 0.371263i | ||||
\(947\) | 28.1285 | + | 21.5838i | 0.914055 | + | 0.701379i | 0.954629 | − | 0.297798i | \(-0.0962521\pi\) |
−0.0405742 | + | 0.999177i | \(0.512919\pi\) | |||||||
\(948\) | 13.3348 | − | 13.8137i | 0.433095 | − | 0.448647i | ||||
\(949\) | −0.591692 | − | 0.771108i | −0.0192071 | − | 0.0250312i | ||||
\(950\) | −0.104616 | + | 0.551302i | −0.00339418 | + | 0.0178866i | ||||
\(951\) | 13.0452 | − | 13.0452i | 0.423019 | − | 0.423019i | ||||
\(952\) | −40.2065 | + | 4.69341i | −1.30310 | + | 0.152114i | ||||
\(953\) | −14.5432 | − | 14.5432i | −0.471100 | − | 0.471100i | 0.431171 | − | 0.902270i | \(-0.358101\pi\) |
−0.902270 | + | 0.431171i | \(0.858101\pi\) | |||||||
\(954\) | −0.647957 | + | 0.441265i | −0.0209784 | + | 0.0142865i | ||||
\(955\) | −40.2566 | + | 30.8900i | −1.30267 | + | 0.999576i | ||||
\(956\) | −1.31976 | − | 3.03373i | −0.0426842 | − | 0.0981177i | ||||
\(957\) | −10.4399 | + | 13.6055i | −0.337474 | + | 0.439805i | ||||
\(958\) | 21.5849 | + | 7.11543i | 0.697375 | + | 0.229889i | ||||
\(959\) | −19.5746 | + | 5.75831i | −0.632098 | + | 0.185945i | ||||
\(960\) | −17.8364 | − | 6.30517i | −0.575667 | − | 0.203498i | ||||
\(961\) | 15.2787 | + | 26.4636i | 0.492863 | + | 0.853663i | ||||
\(962\) | 13.6005 | − | 12.1411i | 0.438496 | − | 0.391445i | ||||
\(963\) | −4.12814 | − | 0.543480i | −0.133028 | − | 0.0175134i | ||||
\(964\) | 8.62047 | + | 0.980578i | 0.277647 | + | 0.0315823i | ||||
\(965\) | −1.51813 | − | 0.628829i | −0.0488703 | − | 0.0202427i | ||||
\(966\) | −19.9330 | − | 3.28285i | −0.641332 | − | 0.105624i | ||||
\(967\) | −26.6986 | − | 26.6986i | −0.858570 | − | 0.858570i | 0.132600 | − | 0.991170i | \(-0.457667\pi\) |
−0.991170 | + | 0.132600i | \(0.957667\pi\) | |||||||
\(968\) | 14.9339 | − | 5.51407i | 0.479994 | − | 0.177229i | ||||
\(969\) | 0.938263 | + | 3.50165i | 0.0301414 | + | 0.112489i | ||||
\(970\) | −33.6478 | + | 11.7538i | −1.08036 | + | 0.377391i | ||||
\(971\) | −14.0478 | + | 1.84942i | −0.450814 | + | 0.0593508i | −0.352515 | − | 0.935806i | \(-0.614673\pi\) |
−0.0982990 | + | 0.995157i | \(0.531340\pi\) | |||||||
\(972\) | 1.94068 | + | 0.483488i | 0.0622473 | + | 0.0155079i | ||||
\(973\) | −47.4471 | − | 18.3155i | −1.52108 | − | 0.587169i | ||||
\(974\) | −10.4747 | − | 20.7766i | −0.335630 | − | 0.665726i | ||||
\(975\) | 0.809488 | − | 0.467358i | 0.0259244 | − | 0.0149674i | ||||
\(976\) | 5.87759 | + | 35.0442i | 0.188137 | + | 1.12174i | ||||
\(977\) | −30.7626 | − | 17.7608i | −0.984184 | − | 0.568219i | −0.0806534 | − | 0.996742i | \(-0.525701\pi\) |
−0.903531 | + | 0.428523i | \(0.859034\pi\) | |||||||
\(978\) | −8.97635 | − | 5.88397i | −0.287032 | − | 0.188149i | ||||
\(979\) | −31.9133 | + | 13.2189i | −1.01995 | + | 0.422479i | ||||
\(980\) | −18.4148 | − | 27.5125i | −0.588239 | − | 0.878856i | ||||
\(981\) | 3.23612 | − | 7.81269i | 0.103321 | − | 0.249440i | ||||
\(982\) | −35.8061 | − | 6.79459i | −1.14262 | − | 0.216824i | ||||
\(983\) | 13.5574 | + | 50.5969i | 0.432414 | + | 1.61379i | 0.747179 | + | 0.664622i | \(0.231408\pi\) |
−0.314765 | + | 0.949170i | \(0.601926\pi\) | |||||||
\(984\) | −22.9273 | − | 7.11220i | −0.730894 | − | 0.226729i | ||||
\(985\) | 11.1501 | − | 41.6129i | 0.355273 | − | 1.32590i | ||||
\(986\) | −56.4485 | + | 4.20005i | −1.79769 | + | 0.133757i | ||||
\(987\) | −13.6531 | − | 30.8209i | −0.434582 | − | 0.981040i | ||||
\(988\) | −2.09276 | + | 0.313158i | −0.0665797 | + | 0.00996287i | ||||
\(989\) | 12.8234 | − | 16.7118i | 0.407760 | − | 0.531403i | ||||
\(990\) | 5.16175 | + | 5.78218i | 0.164051 | + | 0.183770i | ||||
\(991\) | −9.27524 | + | 16.0652i | −0.294638 | + | 0.510328i | −0.974901 | − | 0.222641i | \(-0.928532\pi\) |
0.680263 | + | 0.732968i | \(0.261866\pi\) | |||||||
\(992\) | 3.29836 | − | 1.81151i | 0.104723 | − | 0.0575154i | ||||
\(993\) | −13.9705 | −0.443340 | ||||||||
\(994\) | 38.5260 | + | 23.9359i | 1.22197 | + | 0.759201i | ||||
\(995\) | −1.18714 | − | 2.86601i | −0.0376349 | − | 0.0908587i | ||||
\(996\) | 8.01142 | − | 6.37497i | 0.253852 | − | 0.201999i | ||||
\(997\) | −33.5057 | + | 25.7098i | −1.06114 | + | 0.814238i | −0.983165 | − | 0.182717i | \(-0.941511\pi\) |
−0.0779705 | + | 0.996956i | \(0.524844\pi\) | |||||||
\(998\) | −9.80476 | + | 20.3321i | −0.310364 | + | 0.643602i | ||||
\(999\) | 2.11343 | − | 7.88742i | 0.0668659 | − | 0.249547i |
(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 | 672.2.cj.a.613.27 | yes | 512 | |
7.2 | even | 3 | inner | 672.2.cj.a.37.16 | ✓ | 512 | |
32.13 | even | 8 | inner | 672.2.cj.a.109.16 | yes | 512 | |
224.205 | even | 24 | inner | 672.2.cj.a.205.27 | yes | 512 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
672.2.cj.a.37.16 | ✓ | 512 | 7.2 | even | 3 | inner | |
672.2.cj.a.109.16 | yes | 512 | 32.13 | even | 8 | inner | |
672.2.cj.a.205.27 | yes | 512 | 224.205 | even | 24 | inner | |
672.2.cj.a.613.27 | yes | 512 | 1.1 | even | 1 | trivial |