Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [700,2,Mod(127,700)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(700, base_ring=CyclotomicField(20))
chi = DirichletCharacter(H, H._module([10, 1, 0]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("700.127");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 700 = 2^{2} \cdot 5^{2} \cdot 7 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 700.bj (of order \(20\), 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: | \(5.58952814149\) |
Analytic rank: | \(0\) |
Dimension: | \(720\) |
Relative dimension: | \(90\) over \(\Q(\zeta_{20})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{20}]$ |
Embedding invariants
Embedding label | 323.30 | ||
Character | \(\chi\) | \(=\) | 700.323 |
Dual form | 700.2.bj.a.687.30 |
$q$-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 \(\left(\mathbb{Z}/700\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(351\) | \(477\) |
\(\chi(n)\) | \(1\) | \(-1\) | \(e\left(\frac{11}{20}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.719657 | + | 1.21741i | −0.508874 | + | 0.860841i | ||||
\(3\) | −1.27690 | − | 2.50605i | −0.737217 | − | 1.44687i | −0.888738 | − | 0.458416i | \(-0.848417\pi\) |
0.151521 | − | 0.988454i | \(-0.451583\pi\) | |||||||
\(4\) | −0.964187 | − | 1.75224i | −0.482094 | − | 0.876120i | ||||
\(5\) | −1.94714 | + | 1.09938i | −0.870788 | + | 0.491658i | ||||
\(6\) | 3.96983 | + | 0.248987i | 1.62068 | + | 0.101649i | ||||
\(7\) | 0.707107 | + | 0.707107i | 0.267261 | + | 0.267261i | ||||
\(8\) | 2.82708 | + | 0.0871975i | 0.999525 | + | 0.0308290i | ||||
\(9\) | −2.88647 | + | 3.97289i | −0.962158 | + | 1.32430i | ||||
\(10\) | 0.0628736 | − | 3.16165i | 0.0198824 | − | 0.999802i | ||||
\(11\) | 0.113598 | + | 0.156355i | 0.0342512 | + | 0.0471428i | 0.825799 | − | 0.563964i | \(-0.190724\pi\) |
−0.791548 | + | 0.611107i | \(0.790724\pi\) | |||||||
\(12\) | −3.16003 | + | 4.65373i | −0.912223 | + | 1.34342i | ||||
\(13\) | 0.311602 | + | 1.96738i | 0.0864229 | + | 0.545653i | 0.992471 | + | 0.122478i | \(0.0390842\pi\) |
−0.906048 | + | 0.423174i | \(0.860916\pi\) | |||||||
\(14\) | −1.36972 | + | 0.351966i | −0.366072 | + | 0.0940670i | ||||
\(15\) | 5.24141 | + | 3.47584i | 1.35333 | + | 0.897458i | ||||
\(16\) | −2.14069 | + | 3.37897i | −0.535171 | + | 0.844744i | ||||
\(17\) | 2.57778 | + | 1.31344i | 0.625203 | + | 0.318557i | 0.737734 | − | 0.675092i | \(-0.235896\pi\) |
−0.112531 | + | 0.993648i | \(0.535896\pi\) | |||||||
\(18\) | −2.75938 | − | 6.37315i | −0.650391 | − | 1.50217i | ||||
\(19\) | 1.09308 | + | 3.36414i | 0.250769 | + | 0.771787i | 0.994634 | + | 0.103457i | \(0.0329906\pi\) |
−0.743865 | + | 0.668330i | \(0.767009\pi\) | |||||||
\(20\) | 3.80379 | + | 2.35185i | 0.850553 | + | 0.525889i | ||||
\(21\) | 0.869144 | − | 2.67495i | 0.189663 | − | 0.583722i | ||||
\(22\) | −0.272100 | + | 0.0257743i | −0.0580120 | + | 0.00549510i | ||||
\(23\) | 1.18219 | − | 7.46403i | 0.246503 | − | 1.55636i | −0.484997 | − | 0.874516i | \(-0.661179\pi\) |
0.731500 | − | 0.681841i | \(-0.238821\pi\) | |||||||
\(24\) | −3.39137 | − | 7.19616i | −0.692261 | − | 1.46891i | ||||
\(25\) | 2.58272 | − | 4.28130i | 0.516544 | − | 0.856260i | ||||
\(26\) | −2.61936 | − | 1.03649i | −0.513699 | − | 0.203272i | ||||
\(27\) | 5.30806 | + | 0.840714i | 1.02154 | + | 0.161795i | ||||
\(28\) | 0.557237 | − | 1.92080i | 0.105308 | − | 0.362998i | ||||
\(29\) | −6.16617 | − | 2.00351i | −1.14503 | − | 0.372042i | −0.325760 | − | 0.945453i | \(-0.605620\pi\) |
−0.819268 | + | 0.573410i | \(0.805620\pi\) | |||||||
\(30\) | −8.00355 | + | 3.87954i | −1.46124 | + | 0.708304i | ||||
\(31\) | 1.24769 | − | 0.405398i | 0.224091 | − | 0.0728117i | −0.194819 | − | 0.980839i | \(-0.562412\pi\) |
0.418911 | + | 0.908027i | \(0.362412\pi\) | |||||||
\(32\) | −2.57305 | − | 5.03780i | −0.454855 | − | 0.890566i | ||||
\(33\) | 0.246780 | − | 0.484333i | 0.0429589 | − | 0.0843115i | ||||
\(34\) | −3.45412 | + | 2.19299i | −0.592376 | + | 0.376095i | ||||
\(35\) | −2.15422 | − | 0.599457i | −0.364129 | − | 0.101327i | ||||
\(36\) | 9.74455 | + | 1.22718i | 1.62409 | + | 0.204530i | ||||
\(37\) | 6.90220 | − | 1.09320i | 1.13472 | − | 0.179721i | 0.439308 | − | 0.898337i | \(-0.355224\pi\) |
0.695408 | + | 0.718615i | \(0.255224\pi\) | |||||||
\(38\) | −4.88219 | − | 1.09030i | −0.791996 | − | 0.176871i | ||||
\(39\) | 4.53247 | − | 3.29303i | 0.725776 | − | 0.527307i | ||||
\(40\) | −5.60059 | + | 2.93826i | −0.885532 | + | 0.464579i | ||||
\(41\) | 0.540341 | + | 0.392581i | 0.0843871 | + | 0.0613108i | 0.629179 | − | 0.777261i | \(-0.283391\pi\) |
−0.544792 | + | 0.838571i | \(0.683391\pi\) | |||||||
\(42\) | 2.63103 | + | 2.98315i | 0.405977 | + | 0.460310i | ||||
\(43\) | 8.00342 | − | 8.00342i | 1.22051 | − | 1.22051i | 0.253058 | − | 0.967451i | \(-0.418563\pi\) |
0.967451 | − | 0.253058i | \(-0.0814365\pi\) | |||||||
\(44\) | 0.164441 | − | 0.349807i | 0.0247904 | − | 0.0527354i | ||||
\(45\) | 1.25265 | − | 10.9091i | 0.186734 | − | 1.62623i | ||||
\(46\) | 8.23603 | + | 6.81075i | 1.21434 | + | 1.00419i | ||||
\(47\) | 2.53580 | − | 1.29205i | 0.369884 | − | 0.188465i | −0.259161 | − | 0.965834i | \(-0.583446\pi\) |
0.629045 | + | 0.777369i | \(0.283446\pi\) | |||||||
\(48\) | 11.2013 | + | 1.05007i | 1.61677 | + | 0.151564i | ||||
\(49\) | 1.00000i | 0.142857i | ||||||||
\(50\) | 3.35344 | + | 6.22531i | 0.474248 | + | 0.880391i | ||||
\(51\) | − | 8.13717i | − | 1.13943i | ||||||
\(52\) | 3.14688 | − | 2.44292i | 0.436393 | − | 0.338773i | ||||
\(53\) | −2.57372 | + | 1.31138i | −0.353528 | + | 0.180131i | −0.621731 | − | 0.783231i | \(-0.713570\pi\) |
0.268203 | + | 0.963362i | \(0.413570\pi\) | |||||||
\(54\) | −4.84348 | + | 5.85707i | −0.659114 | + | 0.797046i | ||||
\(55\) | −0.393086 | − | 0.179557i | −0.0530037 | − | 0.0242115i | ||||
\(56\) | 1.93739 | + | 2.06071i | 0.258895 | + | 0.275374i | ||||
\(57\) | 7.03497 | − | 7.03497i | 0.931805 | − | 0.931805i | ||||
\(58\) | 6.87662 | − | 6.06493i | 0.902945 | − | 0.796364i | ||||
\(59\) | −3.06178 | − | 2.22451i | −0.398610 | − | 0.289607i | 0.370365 | − | 0.928886i | \(-0.379233\pi\) |
−0.768974 | + | 0.639279i | \(0.779233\pi\) | |||||||
\(60\) | 1.03681 | − | 12.5356i | 0.133851 | − | 1.61833i | ||||
\(61\) | 3.48795 | − | 2.53414i | 0.446586 | − | 0.324463i | −0.341661 | − | 0.939823i | \(-0.610989\pi\) |
0.788246 | + | 0.615360i | \(0.210989\pi\) | |||||||
\(62\) | −0.404370 | + | 1.81070i | −0.0513551 | + | 0.229959i | ||||
\(63\) | −4.85030 | + | 0.768212i | −0.611081 | + | 0.0967857i | ||||
\(64\) | 7.98479 | + | 0.493029i | 0.998099 | + | 0.0616286i | ||||
\(65\) | −2.76963 | − | 3.48820i | −0.343531 | − | 0.432658i | ||||
\(66\) | 0.412036 | + | 0.648986i | 0.0507181 | + | 0.0798847i | ||||
\(67\) | 2.15173 | − | 4.22302i | 0.262876 | − | 0.515924i | −0.721409 | − | 0.692509i | \(-0.756505\pi\) |
0.984285 | + | 0.176586i | \(0.0565052\pi\) | |||||||
\(68\) | −0.183994 | − | 5.78329i | −0.0223125 | − | 0.701326i | ||||
\(69\) | −20.2148 | + | 6.56818i | −2.43357 | + | 0.790715i | ||||
\(70\) | 2.28008 | − | 2.19117i | 0.272522 | − | 0.261895i | ||||
\(71\) | 4.27870 | + | 1.39024i | 0.507789 | + | 0.164991i | 0.551696 | − | 0.834045i | \(-0.313981\pi\) |
−0.0439076 | + | 0.999036i | \(0.513981\pi\) | |||||||
\(72\) | −8.50672 | + | 10.9800i | −1.00253 | + | 1.29400i | ||||
\(73\) | 13.6037 | + | 2.15462i | 1.59219 | + | 0.252179i | 0.888689 | − | 0.458511i | \(-0.151617\pi\) |
0.703506 | + | 0.710689i | \(0.251617\pi\) | |||||||
\(74\) | −3.63634 | + | 9.18956i | −0.422716 | + | 1.06826i | ||||
\(75\) | −14.0270 | − | 1.00565i | −1.61970 | − | 0.116123i | ||||
\(76\) | 4.84085 | − | 5.15900i | 0.555284 | − | 0.591777i | ||||
\(77\) | −0.0302333 | + | 0.190886i | −0.00344541 | + | 0.0217535i | ||||
\(78\) | 0.747155 | + | 7.88774i | 0.0845987 | + | 0.893111i | ||||
\(79\) | 2.57602 | − | 7.92819i | 0.289825 | − | 0.891991i | −0.695085 | − | 0.718927i | \(-0.744633\pi\) |
0.984911 | − | 0.173063i | \(-0.0553666\pi\) | |||||||
\(80\) | 0.453437 | − | 8.93277i | 0.0506958 | − | 0.998714i | ||||
\(81\) | −0.118444 | − | 0.364533i | −0.0131605 | − | 0.0405037i | ||||
\(82\) | −0.866793 | + | 0.375295i | −0.0957213 | + | 0.0414444i | ||||
\(83\) | 3.53662 | + | 1.80200i | 0.388195 | + | 0.197795i | 0.637185 | − | 0.770711i | \(-0.280099\pi\) |
−0.248990 | + | 0.968506i | \(0.580099\pi\) | |||||||
\(84\) | −5.52517 | + | 1.05620i | −0.602845 | + | 0.115241i | ||||
\(85\) | −6.46327 | + | 0.276500i | −0.701040 | + | 0.0299906i | ||||
\(86\) | 3.98375 | + | 15.5032i | 0.429578 | + | 1.67175i | ||||
\(87\) | 2.85266 | + | 18.0110i | 0.305838 | + | 1.93098i | ||||
\(88\) | 0.307519 | + | 0.451934i | 0.0327816 | + | 0.0481763i | ||||
\(89\) | 10.8971 | + | 14.9986i | 1.15509 | + | 1.58985i | 0.727898 | + | 0.685686i | \(0.240497\pi\) |
0.427193 | + | 0.904160i | \(0.359503\pi\) | |||||||
\(90\) | 12.3794 | + | 9.37582i | 1.30490 | + | 0.988298i | ||||
\(91\) | −1.17081 | + | 1.61148i | −0.122734 | + | 0.168929i | ||||
\(92\) | −14.2186 | + | 5.12525i | −1.48239 | + | 0.534344i | ||||
\(93\) | −2.60912 | − | 2.60912i | −0.270553 | − | 0.270553i | ||||
\(94\) | −0.251942 | + | 4.01695i | −0.0259859 | + | 0.414316i | ||||
\(95\) | −5.82685 | − | 5.34876i | −0.597822 | − | 0.548771i | ||||
\(96\) | −9.33947 | + | 12.8809i | −0.953206 | + | 1.31466i | ||||
\(97\) | −6.65984 | − | 13.0707i | −0.676204 | − | 1.32713i | −0.932726 | − | 0.360587i | \(-0.882576\pi\) |
0.256521 | − | 0.966539i | \(-0.417424\pi\) | |||||||
\(98\) | −1.21741 | − | 0.719657i | −0.122977 | − | 0.0726963i | ||||
\(99\) | −0.949080 | −0.0953861 | ||||||||
\(100\) | −9.99209 | − | 0.397569i | −0.999209 | − | 0.0397569i | ||||
\(101\) | −9.70759 | −0.965942 | −0.482971 | − | 0.875636i | \(-0.660442\pi\) | ||||
−0.482971 | + | 0.875636i | \(0.660442\pi\) | |||||||
\(102\) | 9.90630 | + | 5.85597i | 0.980870 | + | 0.579828i | ||||
\(103\) | 7.18473 | + | 14.1008i | 0.707933 | + | 1.38940i | 0.911897 | + | 0.410418i | \(0.134617\pi\) |
−0.203964 | + | 0.978978i | \(0.565383\pi\) | |||||||
\(104\) | 0.709375 | + | 5.58911i | 0.0695599 | + | 0.548058i | ||||
\(105\) | 1.24844 | + | 6.16402i | 0.121836 | + | 0.601547i | ||||
\(106\) | 0.255710 | − | 4.07702i | 0.0248368 | − | 0.395995i | ||||
\(107\) | −7.41609 | − | 7.41609i | −0.716940 | − | 0.716940i | 0.251037 | − | 0.967977i | \(-0.419228\pi\) |
−0.967977 | + | 0.251037i | \(0.919228\pi\) | |||||||
\(108\) | −3.64483 | − | 10.1116i | −0.350724 | − | 0.972988i | ||||
\(109\) | −8.38062 | + | 11.5349i | −0.802718 | + | 1.10485i | 0.189689 | + | 0.981844i | \(0.439252\pi\) |
−0.992406 | + | 0.123002i | \(0.960748\pi\) | |||||||
\(110\) | 0.501482 | − | 0.349328i | 0.0478145 | − | 0.0333071i | ||||
\(111\) | −11.5530 | − | 15.9014i | −1.09656 | − | 1.50929i | ||||
\(112\) | −3.90299 | + | 0.875602i | −0.368798 | + | 0.0827366i | ||||
\(113\) | −0.791630 | − | 4.99816i | −0.0744703 | − | 0.470187i | −0.996537 | − | 0.0831551i | \(-0.973500\pi\) |
0.922066 | − | 0.387032i | \(-0.126500\pi\) | |||||||
\(114\) | 3.50170 | + | 13.6272i | 0.327964 | + | 1.27631i | ||||
\(115\) | 5.90393 | + | 15.8332i | 0.550544 | + | 1.47645i | ||||
\(116\) | 2.43471 | + | 12.7364i | 0.226057 | + | 1.18254i | ||||
\(117\) | −8.71561 | − | 4.44083i | −0.805759 | − | 0.410555i | ||||
\(118\) | 4.91158 | − | 2.12656i | 0.452148 | − | 0.195766i | ||||
\(119\) | 0.894019 | + | 2.75151i | 0.0819546 | + | 0.252230i | ||||
\(120\) | 14.5148 | + | 10.2835i | 1.32501 | + | 0.938753i | ||||
\(121\) | 3.38764 | − | 10.4261i | 0.307968 | − | 0.947827i | ||||
\(122\) | 0.574970 | + | 6.06998i | 0.0520554 | + | 0.549550i | ||||
\(123\) | 0.293868 | − | 1.85541i | 0.0264972 | − | 0.167297i | ||||
\(124\) | −1.91336 | − | 1.79537i | −0.171825 | − | 0.161229i | ||||
\(125\) | −0.322142 | + | 11.1757i | −0.0288133 | + | 0.999585i | ||||
\(126\) | 2.55532 | − | 6.45767i | 0.227646 | − | 0.575295i | ||||
\(127\) | 2.35896 | + | 0.373623i | 0.209324 | + | 0.0331537i | 0.260216 | − | 0.965551i | \(-0.416206\pi\) |
−0.0508916 | + | 0.998704i | \(0.516206\pi\) | |||||||
\(128\) | −6.34653 | + | 9.36598i | −0.560960 | + | 0.827843i | ||||
\(129\) | −30.2765 | − | 9.83744i | −2.66570 | − | 0.866138i | ||||
\(130\) | 6.23976 | − | 0.861482i | 0.547263 | − | 0.0755570i | ||||
\(131\) | −11.7003 | + | 3.80166i | −1.02226 | + | 0.332152i | −0.771726 | − | 0.635955i | \(-0.780606\pi\) |
−0.250534 | + | 0.968108i | \(0.580606\pi\) | |||||||
\(132\) | −1.08661 | + | 0.0345701i | −0.0945772 | + | 0.00300894i | ||||
\(133\) | −1.60589 | + | 3.15173i | −0.139248 | + | 0.273290i | ||||
\(134\) | 3.59264 | + | 5.65867i | 0.310357 | + | 0.488835i | ||||
\(135\) | −11.2598 | + | 4.19859i | −0.969090 | + | 0.361357i | ||||
\(136\) | 7.17306 | + | 3.93799i | 0.615085 | + | 0.337680i | ||||
\(137\) | 22.7031 | − | 3.59582i | 1.93966 | − | 0.307212i | 0.940217 | − | 0.340577i | \(-0.110622\pi\) |
0.999443 | + | 0.0333652i | \(0.0106225\pi\) | |||||||
\(138\) | 6.55152 | − | 29.3365i | 0.557702 | − | 2.49729i | ||||
\(139\) | 13.8016 | − | 10.0275i | 1.17064 | − | 0.850518i | 0.179552 | − | 0.983748i | \(-0.442535\pi\) |
0.991085 | + | 0.133231i | \(0.0425351\pi\) | |||||||
\(140\) | 1.02668 | + | 4.35269i | 0.0867700 | + | 0.367870i | ||||
\(141\) | −6.47590 | − | 4.70502i | −0.545369 | − | 0.396234i | ||||
\(142\) | −4.77169 | + | 4.20846i | −0.400431 | + | 0.353166i | ||||
\(143\) | −0.272212 | + | 0.272212i | −0.0227635 | + | 0.0227635i | ||||
\(144\) | −7.24526 | − | 18.2580i | −0.603772 | − | 1.52150i | ||||
\(145\) | 14.2090 | − | 2.87785i | 1.17999 | − | 0.238993i | ||||
\(146\) | −12.4131 | + | 15.0108i | −1.02731 | + | 1.24230i | ||||
\(147\) | 2.50605 | − | 1.27690i | 0.206696 | − | 0.105317i | ||||
\(148\) | −8.57057 | − | 11.0403i | −0.704496 | − | 0.907504i | ||||
\(149\) | − | 3.56283i | − | 0.291879i | −0.989294 | − | 0.145939i | \(-0.953380\pi\) | ||
0.989294 | − | 0.145939i | \(-0.0466204\pi\) | |||||||
\(150\) | 11.3189 | − | 16.3530i | 0.924188 | − | 1.33521i | ||||
\(151\) | 13.3471i | 1.08618i | 0.839676 | + | 0.543088i | \(0.182745\pi\) | ||||
−0.839676 | + | 0.543088i | \(0.817255\pi\) | |||||||
\(152\) | 2.79687 | + | 9.60603i | 0.226856 | + | 0.779152i | ||||
\(153\) | −12.6588 | + | 6.45000i | −1.02341 | + | 0.521452i | ||||
\(154\) | −0.210629 | − | 0.174179i | −0.0169730 | − | 0.0140357i | ||||
\(155\) | −1.98374 | + | 2.16105i | −0.159338 | + | 0.173580i | ||||
\(156\) | −10.1403 | − | 4.76687i | −0.811876 | − | 0.381655i | ||||
\(157\) | 6.33245 | − | 6.33245i | 0.505385 | − | 0.505385i | −0.407722 | − | 0.913106i | \(-0.633677\pi\) |
0.913106 | + | 0.407722i | \(0.133677\pi\) | |||||||
\(158\) | 7.79802 | + | 8.84166i | 0.620377 | + | 0.703405i | ||||
\(159\) | 6.57275 | + | 4.77538i | 0.521253 | + | 0.378712i | ||||
\(160\) | 10.5485 | + | 6.98055i | 0.833936 | + | 0.551861i | ||||
\(161\) | 6.11379 | − | 4.44193i | 0.481835 | − | 0.350073i | ||||
\(162\) | 0.529027 | + | 0.118144i | 0.0415643 | + | 0.00928225i | ||||
\(163\) | −3.95921 | + | 0.627078i | −0.310109 | + | 0.0491165i | −0.309549 | − | 0.950883i | \(-0.600178\pi\) |
−0.000559940 | 1.00000i | \(0.500178\pi\) | ||||||||
\(164\) | 0.166905 | − | 1.32533i | 0.0130331 | − | 0.103491i | ||||
\(165\) | 0.0519510 | + | 1.21437i | 0.00404438 | + | 0.0945386i | ||||
\(166\) | −4.73893 | + | 3.00871i | −0.367813 | + | 0.233521i | ||||
\(167\) | 7.00196 | − | 13.7421i | 0.541828 | − | 1.06340i | −0.444061 | − | 0.895996i | \(-0.646463\pi\) |
0.985889 | − | 0.167400i | \(-0.0535372\pi\) | |||||||
\(168\) | 2.69039 | − | 7.48651i | 0.207568 | − | 0.577597i | ||||
\(169\) | 8.59025 | − | 2.79114i | 0.660788 | − | 0.214703i | ||||
\(170\) | 4.31472 | − | 8.06745i | 0.330924 | − | 0.618745i | ||||
\(171\) | −16.5205 | − | 5.36784i | −1.26335 | − | 0.410489i | ||||
\(172\) | −21.7407 | − | 6.30711i | −1.65771 | − | 0.480912i | ||||
\(173\) | −6.09575 | − | 0.965472i | −0.463451 | − | 0.0734035i | −0.0796576 | − | 0.996822i | \(-0.525383\pi\) |
−0.383794 | + | 0.923419i | \(0.625383\pi\) | |||||||
\(174\) | −23.9798 | − | 9.48888i | −1.81790 | − | 0.719350i | ||||
\(175\) | 4.85360 | − | 1.20108i | 0.366898 | − | 0.0907929i | ||||
\(176\) | −0.771498 | + | 0.0491397i | −0.0581538 | + | 0.00370404i | ||||
\(177\) | −1.66517 | + | 10.5135i | −0.125162 | + | 0.790240i | ||||
\(178\) | −26.1016 | + | 2.47244i | −1.95640 | + | 0.185317i | ||||
\(179\) | 7.00479 | − | 21.5585i | 0.523563 | − | 1.61136i | −0.243578 | − | 0.969881i | \(-0.578321\pi\) |
0.767141 | − | 0.641479i | \(-0.221679\pi\) | |||||||
\(180\) | −20.3232 | + | 8.32348i | −1.51480 | + | 0.620396i | ||||
\(181\) | 1.85746 | + | 5.71666i | 0.138064 | + | 0.424916i | 0.996054 | − | 0.0887498i | \(-0.0282872\pi\) |
−0.857990 | + | 0.513666i | \(0.828287\pi\) | |||||||
\(182\) | −1.11926 | − | 2.58508i | −0.0829649 | − | 0.191619i | ||||
\(183\) | −10.8044 | − | 5.50513i | −0.798687 | − | 0.406951i | ||||
\(184\) | 3.99298 | − | 20.9983i | 0.294366 | − | 1.54802i | ||||
\(185\) | −12.2377 | + | 9.71677i | −0.899735 | + | 0.714391i | ||||
\(186\) | 5.05404 | − | 1.29870i | 0.370580 | − | 0.0952255i | ||||
\(187\) | 0.0874683 | + | 0.552253i | 0.00639631 | + | 0.0403847i | ||||
\(188\) | −4.70897 | − | 3.19754i | −0.343437 | − | 0.233205i | ||||
\(189\) | 3.15889 | + | 4.34784i | 0.229775 | + | 0.316259i | ||||
\(190\) | 10.7050 | − | 3.24441i | 0.776621 | − | 0.235374i | ||||
\(191\) | 10.1003 | − | 13.9019i | 0.730834 | − | 1.00591i | −0.268260 | − | 0.963347i | \(-0.586449\pi\) |
0.999094 | − | 0.0425601i | \(-0.0135514\pi\) | |||||||
\(192\) | −8.96020 | − | 20.6399i | −0.646647 | − | 1.48955i | ||||
\(193\) | 15.4272 | + | 15.4272i | 1.11048 | + | 1.11048i | 0.993086 | + | 0.117392i | \(0.0374533\pi\) |
0.117392 | + | 0.993086i | \(0.462547\pi\) | |||||||
\(194\) | 20.7052 | + | 1.29863i | 1.48655 | + | 0.0932360i | ||||
\(195\) | −5.20506 | + | 11.3949i | −0.372742 | + | 0.816007i | ||||
\(196\) | 1.75224 | − | 0.964187i | 0.125160 | − | 0.0688705i | ||||
\(197\) | 12.1297 | + | 23.8058i | 0.864202 | + | 1.69609i | 0.705433 | + | 0.708776i | \(0.250752\pi\) |
0.158769 | + | 0.987316i | \(0.449248\pi\) | |||||||
\(198\) | 0.683012 | − | 1.15542i | 0.0485395 | − | 0.0821122i | ||||
\(199\) | −19.0703 | −1.35185 | −0.675927 | − | 0.736968i | \(-0.736257\pi\) | ||||
−0.675927 | + | 0.736968i | \(0.736257\pi\) | |||||||
\(200\) | 7.67489 | − | 11.8784i | 0.542696 | − | 0.839929i | ||||
\(201\) | −13.3306 | −0.940271 | ||||||||
\(202\) | 6.98614 | − | 11.8181i | 0.491543 | − | 0.831522i | ||||
\(203\) | −2.94344 | − | 5.77683i | −0.206589 | − | 0.405454i | ||||
\(204\) | −14.2583 | + | 7.84576i | −0.998279 | + | 0.549313i | ||||
\(205\) | −1.48372 | − | 0.170370i | −0.103627 | − | 0.0118991i | ||||
\(206\) | −22.3371 | − | 1.40098i | −1.55630 | − | 0.0976108i | ||||
\(207\) | 26.2414 | + | 26.2414i | 1.82390 | + | 1.82390i | ||||
\(208\) | −7.31477 | − | 3.15864i | −0.507188 | − | 0.219013i | ||||
\(209\) | −0.401828 | + | 0.553069i | −0.0277951 | + | 0.0382566i | ||||
\(210\) | −8.40261 | − | 2.91611i | −0.579835 | − | 0.201231i | ||||
\(211\) | −1.68155 | − | 2.31445i | −0.115762 | − | 0.159333i | 0.747204 | − | 0.664595i | \(-0.231396\pi\) |
−0.862966 | + | 0.505262i | \(0.831396\pi\) | |||||||
\(212\) | 4.77939 | + | 3.24536i | 0.328250 | + | 0.222892i | ||||
\(213\) | −1.97946 | − | 12.4978i | −0.135631 | − | 0.856338i | ||||
\(214\) | 14.3655 | − | 3.69140i | 0.982004 | − | 0.252339i | ||||
\(215\) | −6.78498 | + | 24.3826i | −0.462732 | + | 1.66288i | ||||
\(216\) | 14.9330 | + | 2.83962i | 1.01606 | + | 0.193211i | ||||
\(217\) | 1.16891 | + | 0.595588i | 0.0793507 | + | 0.0404312i | ||||
\(218\) | −8.01160 | − | 18.5039i | −0.542614 | − | 1.25324i | ||||
\(219\) | −11.9710 | − | 36.8428i | −0.808923 | − | 2.48961i | ||||
\(220\) | 0.0643815 | + | 0.861907i | 0.00434060 | + | 0.0581098i | ||||
\(221\) | −1.78080 | + | 5.48074i | −0.119789 | + | 0.368674i | ||||
\(222\) | 27.6727 | − | 2.62126i | 1.85727 | − | 0.175928i | ||||
\(223\) | −2.68090 | + | 16.9265i | −0.179526 | + | 1.13348i | 0.719145 | + | 0.694860i | \(0.244534\pi\) |
−0.898671 | + | 0.438624i | \(0.855466\pi\) | |||||||
\(224\) | 1.74284 | − | 5.38168i | 0.116449 | − | 0.359579i | ||||
\(225\) | 9.55418 | + | 22.6187i | 0.636946 | + | 1.50792i | ||||
\(226\) | 6.65452 | + | 2.63322i | 0.442652 | + | 0.175159i | ||||
\(227\) | −23.4230 | − | 3.70984i | −1.55464 | − | 0.246231i | −0.680809 | − | 0.732461i | \(-0.738371\pi\) |
−0.873830 | + | 0.486231i | \(0.838371\pi\) | |||||||
\(228\) | −19.1100 | − | 5.54392i | −1.26559 | − | 0.367155i | ||||
\(229\) | 16.6630 | + | 5.41413i | 1.10112 | + | 0.357776i | 0.802534 | − | 0.596606i | \(-0.203485\pi\) |
0.298587 | + | 0.954382i | \(0.403485\pi\) | |||||||
\(230\) | −23.5243 | − | 4.20695i | −1.55115 | − | 0.277398i | ||||
\(231\) | 0.516975 | − | 0.167975i | 0.0340144 | − | 0.0110520i | ||||
\(232\) | −17.2576 | − | 6.20176i | −1.13301 | − | 0.407165i | ||||
\(233\) | −1.42880 | + | 2.80418i | −0.0936040 | + | 0.183708i | −0.933061 | − | 0.359718i | \(-0.882873\pi\) |
0.839457 | + | 0.543426i | \(0.182873\pi\) | |||||||
\(234\) | 11.6786 | − | 7.41462i | 0.763452 | − | 0.484709i | ||||
\(235\) | −3.51710 | + | 5.30362i | −0.229430 | + | 0.345970i | ||||
\(236\) | −0.945750 | + | 7.50982i | −0.0615631 | + | 0.488848i | ||||
\(237\) | −23.1578 | + | 3.66783i | −1.50426 | + | 0.238251i | ||||
\(238\) | −3.99311 | − | 0.891752i | −0.258835 | − | 0.0578037i | ||||
\(239\) | −0.302941 | + | 0.220100i | −0.0195957 | + | 0.0142371i | −0.597540 | − | 0.801839i | \(-0.703855\pi\) |
0.577944 | + | 0.816076i | \(0.303855\pi\) | |||||||
\(240\) | −22.9650 | + | 10.2699i | −1.48238 | + | 0.662919i | ||||
\(241\) | −6.61994 | − | 4.80967i | −0.426428 | − | 0.309818i | 0.353791 | − | 0.935325i | \(-0.384892\pi\) |
−0.780219 | + | 0.625506i | \(0.784892\pi\) | |||||||
\(242\) | 10.2549 | + | 11.6274i | 0.659211 | + | 0.747436i | ||||
\(243\) | 10.6381 | − | 10.6381i | 0.682437 | − | 0.682437i | ||||
\(244\) | −7.80345 | − | 3.66833i | −0.499565 | − | 0.234841i | ||||
\(245\) | −1.09938 | − | 1.94714i | −0.0702369 | − | 0.124398i | ||||
\(246\) | 2.04731 | + | 1.69302i | 0.130532 | + | 0.107943i | ||||
\(247\) | −6.27794 | + | 3.19877i | −0.399456 | + | 0.203533i | ||||
\(248\) | 3.56267 | − | 1.03730i | 0.226229 | − | 0.0658686i | ||||
\(249\) | − | 11.1639i | − | 0.707485i | ||||||
\(250\) | −13.3736 | − | 8.43485i | −0.845821 | − | 0.533467i | ||||
\(251\) | 11.5932i | 0.731756i | 0.930663 | + | 0.365878i | \(0.119231\pi\) | ||||
−0.930663 | + | 0.365878i | \(0.880769\pi\) | |||||||
\(252\) | 6.02269 | + | 7.75819i | 0.379394 | + | 0.488720i | ||||
\(253\) | 1.30133 | − | 0.663062i | 0.0818140 | − | 0.0416863i | ||||
\(254\) | −2.15250 | + | 2.60295i | −0.135060 | + | 0.163324i | ||||
\(255\) | 8.94585 | + | 15.8442i | 0.560211 | + | 0.992204i | ||||
\(256\) | −6.83493 | − | 14.4666i | −0.427183 | − | 0.904165i | ||||
\(257\) | 15.5607 | − | 15.5607i | 0.970648 | − | 0.970648i | −0.0289336 | − | 0.999581i | \(-0.509211\pi\) |
0.999581 | + | 0.0289336i | \(0.00921113\pi\) | |||||||
\(258\) | 33.7649 | − | 29.7794i | 2.10211 | − | 1.85399i | ||||
\(259\) | 5.65361 | + | 4.10758i | 0.351298 | + | 0.255233i | ||||
\(260\) | −3.44171 | + | 8.21634i | −0.213446 | + | 0.509556i | ||||
\(261\) | 25.7582 | − | 18.7144i | 1.59439 | − | 1.15839i | ||||
\(262\) | 3.79202 | − | 16.9800i | 0.234272 | − | 1.04903i | ||||
\(263\) | −26.3450 | + | 4.17263i | −1.62450 | + | 0.257296i | −0.901253 | − | 0.433293i | \(-0.857352\pi\) |
−0.723248 | + | 0.690589i | \(0.757352\pi\) | |||||||
\(264\) | 0.739900 | − | 1.34773i | 0.0455377 | − | 0.0829471i | ||||
\(265\) | 3.56969 | − | 5.38293i | 0.219285 | − | 0.330671i | ||||
\(266\) | −2.68127 | − | 4.22319i | −0.164399 | − | 0.258941i | ||||
\(267\) | 23.6727 | − | 46.4603i | 1.44875 | − | 2.84333i | ||||
\(268\) | −9.47441 | + | 0.301426i | −0.578742 | + | 0.0184125i | ||||
\(269\) | 11.8026 | − | 3.83490i | 0.719618 | − | 0.233818i | 0.0737606 | − | 0.997276i | \(-0.476500\pi\) |
0.645858 | + | 0.763458i | \(0.276500\pi\) | |||||||
\(270\) | 2.99178 | − | 16.7294i | 0.182074 | − | 1.01812i | ||||
\(271\) | −2.15035 | − | 0.698692i | −0.130625 | − | 0.0424425i | 0.242975 | − | 0.970033i | \(-0.421877\pi\) |
−0.373600 | + | 0.927590i | \(0.621877\pi\) | |||||||
\(272\) | −9.95630 | + | 5.89857i | −0.603689 | + | 0.357653i | ||||
\(273\) | 5.53347 | + | 0.876415i | 0.334901 | + | 0.0530430i | ||||
\(274\) | −11.9609 | + | 30.2268i | −0.722583 | + | 1.82607i | ||||
\(275\) | 0.962796 | − | 0.0825282i | 0.0580588 | − | 0.00497664i | ||||
\(276\) | 30.9998 | + | 29.0882i | 1.86597 | + | 1.75090i | ||||
\(277\) | −1.05832 | + | 6.68197i | −0.0635883 | + | 0.401480i | 0.935280 | + | 0.353910i | \(0.115148\pi\) |
−0.998868 | + | 0.0475708i | \(0.984852\pi\) | |||||||
\(278\) | 2.27513 | + | 24.0186i | 0.136453 | + | 1.44054i | ||||
\(279\) | −1.99081 | + | 6.12710i | −0.119187 | + | 0.366820i | ||||
\(280\) | −6.03788 | − | 1.88256i | −0.360832 | − | 0.112504i | ||||
\(281\) | 10.0650 | + | 30.9770i | 0.600430 | + | 1.84793i | 0.525590 | + | 0.850738i | \(0.323845\pi\) |
0.0748397 | + | 0.997196i | \(0.476155\pi\) | |||||||
\(282\) | 10.3884 | − | 4.49785i | 0.618619 | − | 0.267843i | ||||
\(283\) | −8.49665 | − | 4.32926i | −0.505073 | − | 0.257348i | 0.182837 | − | 0.983143i | \(-0.441472\pi\) |
−0.687911 | + | 0.725795i | \(0.741472\pi\) | |||||||
\(284\) | −1.68945 | − | 8.83776i | −0.100250 | − | 0.524425i | ||||
\(285\) | −5.96397 | + | 21.4322i | −0.353275 | + | 1.26953i | ||||
\(286\) | −0.135495 | − | 0.527293i | −0.00801199 | − | 0.0311795i | ||||
\(287\) | 0.104482 | + | 0.659675i | 0.00616740 | + | 0.0389394i | ||||
\(288\) | 27.4417 | + | 4.31905i | 1.61701 | + | 0.254502i | ||||
\(289\) | −5.07255 | − | 6.98177i | −0.298385 | − | 0.410692i | ||||
\(290\) | −6.72209 | + | 19.3693i | −0.394735 | + | 1.13740i | ||||
\(291\) | −24.2518 | + | 33.3798i | −1.42167 | + | 1.95676i | ||||
\(292\) | −9.34113 | − | 25.9144i | −0.546648 | − | 1.51653i | ||||
\(293\) | 3.82305 | + | 3.82305i | 0.223345 | + | 0.223345i | 0.809905 | − | 0.586560i | \(-0.199518\pi\) |
−0.586560 | + | 0.809905i | \(0.699518\pi\) | |||||||
\(294\) | −0.248987 | + | 3.96983i | −0.0145212 | + | 0.231525i | ||||
\(295\) | 8.40731 | + | 0.965379i | 0.489492 | + | 0.0562066i | ||||
\(296\) | 19.6084 | − | 2.48872i | 1.13972 | − | 0.144654i | ||||
\(297\) | 0.471537 | + | 0.925444i | 0.0273614 | + | 0.0536997i | ||||
\(298\) | 4.33744 | + | 2.56402i | 0.251261 | + | 0.148530i | ||||
\(299\) | 15.0529 | 0.870534 | ||||||||
\(300\) | 11.7625 | + | 25.5484i | 0.679111 | + | 1.47504i | ||||
\(301\) | 11.3185 | 0.652390 | ||||||||
\(302\) | −16.2490 | − | 9.60537i | −0.935024 | − | 0.552727i | ||||
\(303\) | 12.3956 | + | 24.3277i | 0.712109 | + | 1.39759i | ||||
\(304\) | −13.7073 | − | 3.50810i | −0.786167 | − | 0.201203i | ||||
\(305\) | −4.00554 | + | 8.76891i | −0.229356 | + | 0.502106i | ||||
\(306\) | 1.25771 | − | 20.0528i | 0.0718985 | − | 1.14634i | ||||
\(307\) | 19.2149 | + | 19.2149i | 1.09665 | + | 1.09665i | 0.994799 | + | 0.101856i | \(0.0324780\pi\) |
0.101856 | + | 0.994799i | \(0.467522\pi\) | |||||||
\(308\) | 0.363628 | − | 0.131074i | 0.0207196 | − | 0.00746862i | ||||
\(309\) | 26.1633 | − | 36.0106i | 1.48838 | − | 2.04857i | ||||
\(310\) | −1.20328 | − | 3.97024i | −0.0683418 | − | 0.225495i | ||||
\(311\) | 8.08637 | + | 11.1299i | 0.458536 | + | 0.631121i | 0.974204 | − | 0.225668i | \(-0.0724563\pi\) |
−0.515668 | + | 0.856788i | \(0.672456\pi\) | |||||||
\(312\) | 13.1008 | − | 8.91445i | 0.741687 | − | 0.504682i | ||||
\(313\) | −4.10087 | − | 25.8919i | −0.231795 | − | 1.46350i | −0.779278 | − | 0.626679i | \(-0.784414\pi\) |
0.547483 | − | 0.836817i | \(-0.315586\pi\) | |||||||
\(314\) | 3.15201 | + | 12.2664i | 0.177878 | + | 0.692233i | ||||
\(315\) | 8.59967 | − | 6.82815i | 0.484536 | − | 0.384723i | ||||
\(316\) | −16.3759 | + | 3.13045i | −0.921214 | + | 0.176101i | ||||
\(317\) | −9.51074 | − | 4.84596i | −0.534176 | − | 0.272176i | 0.166025 | − | 0.986121i | \(-0.446907\pi\) |
−0.700202 | + | 0.713945i | \(0.746907\pi\) | |||||||
\(318\) | −10.5437 | + | 4.56511i | −0.591263 | + | 0.255999i | ||||
\(319\) | −0.387209 | − | 1.19171i | −0.0216795 | − | 0.0667227i | ||||
\(320\) | −16.0896 | + | 7.81833i | −0.899433 | + | 0.437058i | ||||
\(321\) | −9.11552 | + | 28.0547i | −0.508779 | + | 1.56586i | ||||
\(322\) | 1.00783 | + | 10.6397i | 0.0561641 | + | 0.592926i | ||||
\(323\) | −1.60090 | + | 10.1077i | −0.0890766 | + | 0.562408i | ||||
\(324\) | −0.524548 | + | 0.559021i | −0.0291415 | + | 0.0310567i | ||||
\(325\) | 9.22773 | + | 3.74713i | 0.511862 | + | 0.207853i | ||||
\(326\) | 2.08586 | − | 5.27128i | 0.115525 | − | 0.291949i | ||||
\(327\) | 39.6083 | + | 6.27334i | 2.19035 | + | 0.346917i | ||||
\(328\) | 1.49336 | + | 1.15697i | 0.0824569 | + | 0.0638833i | ||||
\(329\) | 2.70670 | + | 0.879460i | 0.149225 | + | 0.0484862i | ||||
\(330\) | −1.51578 | − | 0.810684i | −0.0834407 | − | 0.0446267i | ||||
\(331\) | 19.6171 | − | 6.37399i | 1.07825 | − | 0.350346i | 0.284557 | − | 0.958659i | \(-0.408154\pi\) |
0.793697 | + | 0.608313i | \(0.208154\pi\) | |||||||
\(332\) | −0.252433 | − | 7.93448i | −0.0138541 | − | 0.435461i | ||||
\(333\) | −15.5799 | + | 30.5772i | −0.853771 | + | 1.67562i | ||||
\(334\) | 11.6908 | + | 18.4139i | 0.639693 | + | 1.00756i | ||||
\(335\) | 0.452973 | + | 10.5884i | 0.0247486 | + | 0.578506i | ||||
\(336\) | 7.17802 | + | 8.66304i | 0.391593 | + | 0.472607i | ||||
\(337\) | 18.2755 | − | 2.89455i | 0.995530 | − | 0.157676i | 0.362649 | − | 0.931926i | \(-0.381872\pi\) |
0.632881 | + | 0.774249i | \(0.281872\pi\) | |||||||
\(338\) | −2.78406 | + | 12.4665i | −0.151433 | + | 0.678091i | ||||
\(339\) | −11.5148 | + | 8.36600i | −0.625398 | + | 0.454379i | ||||
\(340\) | 6.71630 | + | 11.0586i | 0.364242 | + | 0.599737i | ||||
\(341\) | 0.205121 | + | 0.149029i | 0.0111079 | + | 0.00807040i | ||||
\(342\) | 18.4240 | − | 16.2493i | 0.996254 | − | 0.878660i | ||||
\(343\) | −0.707107 | + | 0.707107i | −0.0381802 | + | 0.0381802i | ||||
\(344\) | 23.3242 | − | 21.9284i | 1.25756 | − | 1.18230i | ||||
\(345\) | 32.1401 | − | 35.0129i | 1.73036 | − | 1.88503i | ||||
\(346\) | 5.56223 | − | 6.72624i | 0.299027 | − | 0.361605i | ||||
\(347\) | 7.18732 | − | 3.66212i | 0.385836 | − | 0.196593i | −0.250303 | − | 0.968167i | \(-0.580530\pi\) |
0.636139 | + | 0.771574i | \(0.280530\pi\) | |||||||
\(348\) | 28.8091 | − | 22.3645i | 1.54433 | − | 1.19886i | ||||
\(349\) | − | 8.72892i | − | 0.467248i | −0.972327 | − | 0.233624i | \(-0.924942\pi\) | ||
0.972327 | − | 0.233624i | \(-0.0750585\pi\) | |||||||
\(350\) | −2.03072 | + | 6.77320i | −0.108546 | + | 0.362043i | ||||
\(351\) | 10.7049i | 0.571387i | ||||||||
\(352\) | 0.495391 | − | 0.974595i | 0.0264044 | − | 0.0519461i | ||||
\(353\) | −4.29662 | + | 2.18924i | −0.228686 | + | 0.116521i | −0.564580 | − | 0.825379i | \(-0.690962\pi\) |
0.335894 | + | 0.941900i | \(0.390962\pi\) | |||||||
\(354\) | −11.6009 | − | 9.59328i | −0.616579 | − | 0.509877i | ||||
\(355\) | −9.85964 | + | 1.99694i | −0.523295 | + | 0.105987i | ||||
\(356\) | 15.7742 | − | 33.5558i | 0.836033 | − | 1.77845i | ||||
\(357\) | 5.75385 | − | 5.75385i | 0.304526 | − | 0.304526i | ||||
\(358\) | 21.2046 | + | 24.0425i | 1.12070 | + | 1.27068i | ||||
\(359\) | −11.3025 | − | 8.21177i | −0.596525 | − | 0.433400i | 0.248119 | − | 0.968730i | \(-0.420188\pi\) |
−0.844644 | + | 0.535329i | \(0.820188\pi\) | |||||||
\(360\) | 4.49260 | − | 30.7317i | 0.236781 | − | 1.61970i | ||||
\(361\) | 5.24868 | − | 3.81339i | 0.276246 | − | 0.200705i | ||||
\(362\) | −8.29626 | − | 1.85274i | −0.436042 | − | 0.0973781i | ||||
\(363\) | −30.4540 | + | 4.82344i | −1.59842 | + | 0.253165i | ||||
\(364\) | 3.95259 | + | 0.497769i | 0.207172 | + | 0.0260902i | ||||
\(365\) | −28.8571 | + | 10.7603i | −1.51045 | + | 0.563221i | ||||
\(366\) | 14.4775 | − | 9.19165i | 0.756751 | − | 0.480455i | ||||
\(367\) | −3.13448 | + | 6.15176i | −0.163618 | + | 0.321119i | −0.958230 | − | 0.285999i | \(-0.907675\pi\) |
0.794611 | + | 0.607118i | \(0.207675\pi\) | |||||||
\(368\) | 22.6901 | + | 19.9727i | 1.18280 | + | 1.04115i | ||||
\(369\) | −3.11936 | + | 1.01354i | −0.162387 | + | 0.0527629i | ||||
\(370\) | −3.02236 | − | 21.8911i | −0.157125 | − | 1.13806i | ||||
\(371\) | −2.74718 | − | 0.892612i | −0.142626 | − | 0.0463421i | ||||
\(372\) | −2.05612 | + | 7.08748i | −0.106605 | + | 0.367469i | ||||
\(373\) | −33.3777 | − | 5.28651i | −1.72823 | − | 0.273725i | −0.788351 | − | 0.615226i | \(-0.789065\pi\) |
−0.939882 | + | 0.341501i | \(0.889065\pi\) | |||||||
\(374\) | −0.735267 | − | 0.290948i | −0.0380198 | − | 0.0150446i | ||||
\(375\) | 28.4182 | − | 13.4629i | 1.46751 | − | 0.695222i | ||||
\(376\) | 7.28157 | − | 3.43163i | 0.375518 | − | 0.176973i | ||||
\(377\) | 2.02027 | − | 12.7555i | 0.104049 | − | 0.656941i | ||||
\(378\) | −7.56643 | + | 0.716719i | −0.389175 | + | 0.0368641i | ||||
\(379\) | −3.01033 | + | 9.26483i | −0.154630 | + | 0.475903i | −0.998123 | − | 0.0612375i | \(-0.980495\pi\) |
0.843493 | + | 0.537140i | \(0.180495\pi\) | |||||||
\(380\) | −3.75413 | + | 15.3672i | −0.192583 | + | 0.788323i | ||||
\(381\) | −2.07583 | − | 6.38876i | −0.106348 | − | 0.327306i | ||||
\(382\) | 9.65559 | + | 22.3009i | 0.494023 | + | 1.14101i | ||||
\(383\) | −13.0952 | − | 6.67234i | −0.669134 | − | 0.340941i | 0.0862030 | − | 0.996278i | \(-0.472527\pi\) |
−0.755337 | + | 0.655337i | \(0.772527\pi\) | |||||||
\(384\) | 31.5755 | + | 3.94535i | 1.61133 | + | 0.201335i | ||||
\(385\) | −0.150988 | − | 0.404920i | −0.00769505 | − | 0.0206366i | ||||
\(386\) | −29.8836 | + | 7.67900i | −1.52104 | + | 0.390851i | ||||
\(387\) | 8.69504 | + | 54.8983i | 0.441994 | + | 2.79064i | ||||
\(388\) | −16.4816 | + | 24.2722i | −0.836727 | + | 1.23223i | ||||
\(389\) | −2.16236 | − | 2.97623i | −0.109636 | − | 0.150901i | 0.750673 | − | 0.660674i | \(-0.229729\pi\) |
−0.860309 | + | 0.509773i | \(0.829729\pi\) | |||||||
\(390\) | −10.1265 | − | 14.5371i | −0.512773 | − | 0.736117i | ||||
\(391\) | 12.8510 | − | 17.6879i | 0.649902 | − | 0.894513i | ||||
\(392\) | −0.0871975 | + | 2.82708i | −0.00440414 | + | 0.142789i | ||||
\(393\) | 24.4672 | + | 24.4672i | 1.23421 | + | 1.23421i | ||||
\(394\) | −37.7107 | − | 2.36521i | −1.89984 | − | 0.119157i | ||||
\(395\) | 3.70022 | + | 18.2693i | 0.186178 | + | 0.919230i | ||||
\(396\) | 0.915091 | + | 1.66301i | 0.0459850 | + | 0.0835696i | ||||
\(397\) | −12.7621 | − | 25.0470i | −0.640510 | − | 1.25707i | −0.951789 | − | 0.306754i | \(-0.900757\pi\) |
0.311279 | − | 0.950319i | \(-0.399243\pi\) | |||||||
\(398\) | 13.7240 | − | 23.2164i | 0.687924 | − | 1.16373i | ||||
\(399\) | 9.94895 | 0.498071 | ||||||||
\(400\) | 8.93761 | + | 17.8919i | 0.446881 | + | 0.894594i | ||||
\(401\) | −5.31994 | −0.265665 | −0.132833 | − | 0.991138i | \(-0.542407\pi\) | ||||
−0.132833 | + | 0.991138i | \(0.542407\pi\) | |||||||
\(402\) | 9.59349 | − | 16.2289i | 0.478480 | − | 0.809424i | ||||
\(403\) | 1.18635 | + | 2.32835i | 0.0590965 | + | 0.115983i | ||||
\(404\) | 9.35994 | + | 17.0100i | 0.465674 | + | 0.846280i | ||||
\(405\) | 0.631389 | + | 0.579583i | 0.0313740 | + | 0.0287997i | ||||
\(406\) | 9.15106 | + | 0.573953i | 0.454159 | + | 0.0284848i | ||||
\(407\) | 0.955007 | + | 0.955007i | 0.0473380 | + | 0.0473380i | ||||
\(408\) | 0.709541 | − | 23.0045i | 0.0351275 | − | 1.13889i | ||||
\(409\) | −13.4972 | + | 18.5773i | −0.667394 | + | 0.918589i | −0.999698 | − | 0.0245833i | \(-0.992174\pi\) |
0.332304 | + | 0.943172i | \(0.392174\pi\) | |||||||
\(410\) | 1.27518 | − | 1.68369i | 0.0629765 | − | 0.0831514i | ||||
\(411\) | −38.0009 | − | 52.3037i | −1.87445 | − | 2.57995i | ||||
\(412\) | 17.7806 | − | 26.1852i | 0.875988 | − | 1.29005i | ||||
\(413\) | −0.592037 | − | 3.73797i | −0.0291322 | − | 0.183934i | ||||
\(414\) | −50.8314 | + | 13.0618i | −2.49823 | + | 0.641953i | ||||
\(415\) | −8.86739 | + | 0.379349i | −0.435283 | + | 0.0186215i | ||||
\(416\) | 9.10950 | − | 6.63195i | 0.446630 | − | 0.325158i | ||||
\(417\) | −42.7526 | − | 21.7835i | −2.09360 | − | 1.06674i | ||||
\(418\) | −0.384135 | − | 0.887211i | −0.0187887 | − | 0.0433949i | ||||
\(419\) | 6.34079 | + | 19.5149i | 0.309768 | + | 0.953367i | 0.977855 | + | 0.209284i | \(0.0671133\pi\) |
−0.668087 | + | 0.744083i | \(0.732887\pi\) | |||||||
\(420\) | 9.59711 | − | 8.13085i | 0.468291 | − | 0.396745i | ||||
\(421\) | −7.91193 | + | 24.3504i | −0.385604 | + | 1.18677i | 0.550437 | + | 0.834877i | \(0.314461\pi\) |
−0.936041 | + | 0.351891i | \(0.885539\pi\) | |||||||
\(422\) | 4.02778 | − | 0.381525i | 0.196069 | − | 0.0185724i | ||||
\(423\) | −2.18633 | + | 13.8039i | −0.106303 | + | 0.671169i | ||||
\(424\) | −7.39047 | + | 3.48294i | −0.358913 | + | 0.169147i | ||||
\(425\) | 12.2809 | − | 7.64398i | 0.595712 | − | 0.370788i | ||||
\(426\) | 16.6396 | + | 6.58434i | 0.806190 | + | 0.319012i | ||||
\(427\) | 4.25826 | + | 0.674442i | 0.206072 | + | 0.0326385i | ||||
\(428\) | −5.84426 | + | 20.1453i | −0.282493 | + | 0.973758i | ||||
\(429\) | 1.02976 | + | 0.334590i | 0.0497174 | + | 0.0161542i | ||||
\(430\) | −24.8008 | − | 25.8072i | −1.19600 | − | 1.24453i | ||||
\(431\) | −13.7894 | + | 4.48044i | −0.664211 | + | 0.215815i | −0.621670 | − | 0.783279i | \(-0.713545\pi\) |
−0.0425414 | + | 0.999095i | \(0.513545\pi\) | |||||||
\(432\) | −14.2036 | + | 16.1361i | −0.683372 | + | 0.776348i | ||||
\(433\) | 1.84854 | − | 3.62796i | 0.0888351 | − | 0.174349i | −0.842314 | − | 0.538987i | \(-0.818807\pi\) |
0.931149 | + | 0.364638i | \(0.118807\pi\) | |||||||
\(434\) | −1.56629 | + | 0.994424i | −0.0751843 | + | 0.0477339i | ||||
\(435\) | −25.3555 | − | 31.9338i | −1.21570 | − | 1.53111i | ||||
\(436\) | 28.2924 | + | 3.56301i | 1.35496 | + | 0.170637i | ||||
\(437\) | 26.4023 | − | 4.18171i | 1.26299 | − | 0.200038i | ||||
\(438\) | 53.4679 | + | 11.9406i | 2.55480 | + | 0.570544i | ||||
\(439\) | −13.7298 | + | 9.97530i | −0.655288 | + | 0.476095i | −0.865069 | − | 0.501654i | \(-0.832725\pi\) |
0.209780 | + | 0.977749i | \(0.432725\pi\) | |||||||
\(440\) | −1.09563 | − | 0.541899i | −0.0522321 | − | 0.0258340i | ||||
\(441\) | −3.97289 | − | 2.88647i | −0.189185 | − | 0.137451i | ||||
\(442\) | −5.39075 | − | 6.11222i | −0.256412 | − | 0.290729i | ||||
\(443\) | 7.82885 | − | 7.82885i | 0.371960 | − | 0.371960i | −0.496231 | − | 0.868191i | \(-0.665283\pi\) |
0.868191 | + | 0.496231i | \(0.165283\pi\) | |||||||
\(444\) | −16.7237 | + | 35.5756i | −0.793673 | + | 1.68834i | ||||
\(445\) | −37.7074 | − | 17.2243i | −1.78750 | − | 0.816509i | ||||
\(446\) | −18.6772 | − | 15.4451i | −0.884393 | − | 0.731345i | ||||
\(447\) | −8.92864 | + | 4.54937i | −0.422310 | + | 0.215178i | ||||
\(448\) | 5.29748 | + | 5.99473i | 0.250282 | + | 0.283224i | ||||
\(449\) | − | 30.6183i | − | 1.44497i | −0.691389 | − | 0.722483i | \(-0.743001\pi\) | ||
0.691389 | − | 0.722483i | \(-0.256999\pi\) | |||||||
\(450\) | −34.4121 | − | 4.64635i | −1.62220 | − | 0.219031i | ||||
\(451\) | 0.129082i | 0.00607821i | ||||||||
\(452\) | −7.99469 | + | 6.20628i | −0.376038 | + | 0.291919i | ||||
\(453\) | 33.4486 | − | 17.0429i | 1.57155 | − | 0.800747i | ||||
\(454\) | 21.3729 | − | 25.8456i | 1.00308 | − | 1.21300i | ||||
\(455\) | 0.508101 | − | 4.42495i | 0.0238201 | − | 0.207445i | ||||
\(456\) | 20.5019 | − | 19.2750i | 0.960088 | − | 0.902635i | ||||
\(457\) | −1.35049 | + | 1.35049i | −0.0631734 | + | 0.0631734i | −0.737988 | − | 0.674814i | \(-0.764224\pi\) |
0.674814 | + | 0.737988i | \(0.264224\pi\) | |||||||
\(458\) | −18.5829 | + | 16.3894i | −0.868321 | + | 0.765827i | ||||
\(459\) | 12.5788 | + | 9.13900i | 0.587126 | + | 0.426572i | ||||
\(460\) | 22.0510 | − | 25.6113i | 1.02814 | − | 1.19413i | ||||
\(461\) | 14.5967 | − | 10.6051i | 0.679837 | − | 0.493931i | −0.193467 | − | 0.981107i | \(-0.561973\pi\) |
0.873304 | + | 0.487176i | \(0.161973\pi\) | |||||||
\(462\) | −0.167549 | + | 0.750256i | −0.00779510 | + | 0.0349051i | ||||
\(463\) | −33.0145 | + | 5.22898i | −1.53431 | + | 0.243011i | −0.865687 | − | 0.500586i | \(-0.833118\pi\) |
−0.668627 | + | 0.743598i | \(0.733118\pi\) | |||||||
\(464\) | 19.9696 | − | 16.5464i | 0.927067 | − | 0.768149i | ||||
\(465\) | 7.94874 | + | 2.21191i | 0.368614 | + | 0.102575i | ||||
\(466\) | −2.38560 | − | 3.75749i | −0.110511 | − | 0.174062i | ||||
\(467\) | −11.1914 | + | 21.9643i | −0.517875 | + | 1.01639i | 0.472931 | + | 0.881099i | \(0.343196\pi\) |
−0.990806 | + | 0.135288i | \(0.956804\pi\) | |||||||
\(468\) | 0.622093 | + | 19.5536i | 0.0287563 | + | 0.903867i | ||||
\(469\) | 4.50763 | − | 1.46462i | 0.208143 | − | 0.0676298i | ||||
\(470\) | −3.92559 | − | 8.09854i | −0.181074 | − | 0.373558i | ||||
\(471\) | −23.9553 | − | 7.78356i | −1.10380 | − | 0.358648i | ||||
\(472\) | −8.46193 | − | 6.55586i | −0.389492 | − | 0.301758i | ||||
\(473\) | 2.16055 | + | 0.342197i | 0.0993422 | + | 0.0157343i | ||||
\(474\) | 12.2004 | − | 30.8321i | 0.560382 | − | 1.41617i | ||||
\(475\) | 17.2260 | + | 4.00886i | 0.790384 | + | 0.183939i | ||||
\(476\) | 3.95930 | − | 4.21950i | 0.181474 | − | 0.193401i | ||||
\(477\) | 2.21902 | − | 14.0104i | 0.101602 | − | 0.641490i | ||||
\(478\) | −0.0499384 | − | 0.527201i | −0.00228413 | − | 0.0241136i | ||||
\(479\) | 4.66904 | − | 14.3698i | 0.213334 | − | 0.656574i | −0.785934 | − | 0.618311i | \(-0.787817\pi\) |
0.999268 | − | 0.0382635i | \(-0.0121826\pi\) | |||||||
\(480\) | 4.02421 | − | 35.3487i | 0.183679 | − | 1.61344i | ||||
\(481\) | 4.30148 | + | 13.2386i | 0.196131 | + | 0.603629i | ||||
\(482\) | 10.6194 | − | 4.59789i | 0.483702 | − | 0.209428i | ||||
\(483\) | −18.9384 | − | 9.64960i | −0.861727 | − | 0.439072i | ||||
\(484\) | −21.5353 | + | 4.11675i | −0.978879 | + | 0.187125i | ||||
\(485\) | 27.3373 | + | 18.1287i | 1.24132 | + | 0.823184i | ||||
\(486\) | 5.29520 | + | 20.6068i | 0.240195 | + | 0.934745i | ||||
\(487\) | 1.22289 | + | 7.72102i | 0.0554144 | + | 0.349873i | 0.999780 | + | 0.0209753i | \(0.00667713\pi\) |
−0.944366 | + | 0.328898i | \(0.893323\pi\) | |||||||
\(488\) | 10.0817 | − | 6.86008i | 0.456376 | − | 0.310541i | ||||
\(489\) | 6.62700 | + | 9.12128i | 0.299683 | + | 0.412478i | ||||
\(490\) | 3.16165 | + | 0.0628736i | 0.142829 | + | 0.00284034i | ||||
\(491\) | −17.6441 | + | 24.2850i | −0.796267 | + | 1.09597i | 0.197032 | + | 0.980397i | \(0.436870\pi\) |
−0.993299 | + | 0.115571i | \(0.963130\pi\) | |||||||
\(492\) | −3.53446 | + | 1.27403i | −0.159346 | + | 0.0574379i | ||||
\(493\) | −13.2635 | − | 13.2635i | −0.597358 | − | 0.597358i | ||||
\(494\) | 0.623741 | − | 9.94486i | 0.0280634 | − | 0.447441i | ||||
\(495\) | 1.84799 | − | 1.04340i | 0.0830611 | − | 0.0468974i | ||||
\(496\) | −1.30108 | + | 5.08373i | −0.0584200 | + | 0.228266i | ||||
\(497\) | 2.04246 | + | 4.00855i | 0.0916167 | + | 0.179808i | ||||
\(498\) | 13.5911 | + | 8.03420i | 0.609032 | + | 0.360021i | ||||
\(499\) | 9.66277 | 0.432565 | 0.216283 | − | 0.976331i | \(-0.430607\pi\) | ||||
0.216283 | + | 0.976331i | \(0.430607\pi\) | |||||||
\(500\) | 19.8931 | − | 10.2110i | 0.889647 | − | 0.456650i | ||||
\(501\) | −43.3792 | −1.93804 | ||||||||
\(502\) | −14.1137 | − | 8.34313i | −0.629926 | − | 0.372372i | ||||
\(503\) | −5.32908 | − | 10.4589i | −0.237612 | − | 0.466340i | 0.741150 | − | 0.671339i | \(-0.234281\pi\) |
−0.978762 | + | 0.205000i | \(0.934281\pi\) | |||||||
\(504\) | −13.7792 | + | 1.74887i | −0.613774 | + | 0.0779007i | ||||
\(505\) | 18.9021 | − | 10.6723i | 0.841131 | − | 0.474913i | ||||
\(506\) | −0.129293 | + | 2.06143i | −0.00574777 | + | 0.0916419i | ||||
\(507\) | −17.9636 | − | 17.9636i | −0.797792 | − | 0.797792i | ||||
\(508\) | −1.61981 | − | 4.49371i | −0.0718672 | − | 0.199376i | ||||
\(509\) | 16.2315 | − | 22.3408i | 0.719449 | − | 0.990237i | −0.280093 | − | 0.959973i | \(-0.590365\pi\) |
0.999542 | − | 0.0302641i | \(-0.00963483\pi\) | |||||||
\(510\) | −25.7269 | − | 0.511614i | −1.13921 | − | 0.0226546i | ||||
\(511\) | 8.09574 | + | 11.1428i | 0.358134 | + | 0.492930i | ||||
\(512\) | 22.5307 | + | 2.09009i | 0.995725 | + | 0.0923697i | ||||
\(513\) | 2.97383 | + | 18.7760i | 0.131298 | + | 0.828982i | ||||
\(514\) | 7.74541 | + | 30.1421i | 0.341635 | + | 1.32951i | ||||
\(515\) | −29.4919 | − | 19.5576i | −1.29957 | − | 0.861809i | ||||
\(516\) | 11.9547 | + | 62.5368i | 0.526276 | + | 2.75303i | ||||
\(517\) | 0.490081 | + | 0.249709i | 0.0215538 | + | 0.0109822i | ||||
\(518\) | −9.06928 | + | 3.92672i | −0.398481 | + | 0.172530i | ||||
\(519\) | 5.36413 | + | 16.5091i | 0.235459 | + | 0.724668i | ||||
\(520\) | −7.52582 | − | 10.1029i | −0.330029 | − | 0.443043i | ||||
\(521\) | −5.38376 | + | 16.5695i | −0.235867 | + | 0.725923i | 0.761139 | + | 0.648589i | \(0.224641\pi\) |
−0.997005 | + | 0.0773338i | \(0.975359\pi\) | |||||||
\(522\) | 4.24611 | + | 44.8263i | 0.185847 | + | 1.96199i | ||||
\(523\) | 3.45463 | − | 21.8117i | 0.151061 | − | 0.953759i | −0.789406 | − | 0.613872i | \(-0.789611\pi\) |
0.940466 | − | 0.339887i | \(-0.110389\pi\) | |||||||
\(524\) | 17.9427 | + | 16.8362i | 0.783830 | + | 0.735494i | ||||
\(525\) | −9.20751 | − | 10.6297i | −0.401849 | − | 0.463919i | ||||
\(526\) | 13.8795 | − | 35.0756i | 0.605176 | − | 1.52937i | ||||
\(527\) | 3.74873 | + | 0.593740i | 0.163297 | + | 0.0258637i | ||||
\(528\) | 1.10827 | + | 1.87067i | 0.0482313 | + | 0.0814103i | ||||
\(529\) | −32.4398 | − | 10.5403i | −1.41043 | − | 0.458276i | ||||
\(530\) | 3.98429 | + | 8.21966i | 0.173067 | + | 0.357039i | ||||
\(531\) | 17.6755 | − | 5.74312i | 0.767051 | − | 0.249230i | ||||
\(532\) | 7.07096 | − | 0.224961i | 0.306565 | − | 0.00975328i | ||||
\(533\) | −0.603984 | + | 1.18539i | −0.0261614 | + | 0.0513447i | ||||
\(534\) | 39.5252 | + | 62.2550i | 1.71042 | + | 2.69404i | ||||
\(535\) | 22.5933 | + | 6.28707i | 0.976793 | + | 0.271814i | ||||
\(536\) | 6.45137 | − | 11.7512i | 0.278657 | − | 0.507574i | ||||
\(537\) | −62.9712 | + | 9.97366i | −2.71741 | + | 0.430395i | ||||
\(538\) | −3.82518 | + | 17.1285i | −0.164915 | + | 0.738461i | ||||
\(539\) | −0.156355 | + | 0.113598i | −0.00673468 | + | 0.00489303i | ||||
\(540\) | 18.2135 | + | 15.6816i | 0.783784 | + | 0.674830i | ||||
\(541\) | 18.3679 | + | 13.3451i | 0.789700 | + | 0.573750i | 0.907874 | − | 0.419242i | \(-0.137704\pi\) |
−0.118175 | + | 0.992993i | \(0.537704\pi\) | |||||||
\(542\) | 2.39811 | − | 2.11505i | 0.103008 | − | 0.0908491i | ||||
\(543\) | 11.9545 | − | 11.9545i | 0.513015 | − | 0.513015i | ||||
\(544\) | −0.0158771 | − | 16.3659i | −0.000680724 | − | 0.701681i | ||||
\(545\) | 3.63696 | − | 31.6736i | 0.155790 | − | 1.35675i | ||||
\(546\) | −5.04916 | + | 6.10579i | −0.216084 | + | 0.261304i | ||||
\(547\) | −6.08024 | + | 3.09804i | −0.259972 | + | 0.132463i | −0.579120 | − | 0.815243i | \(-0.696604\pi\) |
0.319147 | + | 0.947705i | \(0.396604\pi\) | |||||||
\(548\) | −28.1908 | − | 36.3143i | −1.20425 | − | 1.55127i | ||||
\(549\) | 21.1719i | 0.903597i | ||||||||
\(550\) | −0.592412 | + | 1.23151i | −0.0252605 | + | 0.0525118i | ||||
\(551\) | − | 22.9339i | − | 0.977015i | ||||||
\(552\) | −57.7215 | + | 16.8061i | −2.45679 | + | 0.715315i | ||||
\(553\) | 7.42760 | − | 3.78455i | 0.315854 | − | 0.160935i | ||||
\(554\) | −7.37308 | − | 6.09714i | −0.313252 | − | 0.259042i | ||||
\(555\) | 39.9770 | + | 18.2610i | 1.69693 | + | 0.775138i | ||||
\(556\) | −30.8778 | − | 14.5154i | −1.30951 | − | 0.615589i | ||||
\(557\) | −24.2714 | + | 24.2714i | −1.02841 | + | 1.02841i | −0.0288284 | + | 0.999584i | \(0.509178\pi\) |
−0.999584 | + | 0.0288284i | \(0.990822\pi\) | |||||||
\(558\) | −6.02650 | − | 6.83305i | −0.255122 | − | 0.289266i | ||||
\(559\) | 18.2396 | + | 13.2519i | 0.771454 | + | 0.560494i | ||||
\(560\) | 6.63705 | − | 5.99579i | 0.280467 | − | 0.253369i | ||||
\(561\) | 1.27229 | − | 0.924370i | 0.0537160 | − | 0.0390269i | ||||
\(562\) | −44.9552 | − | 10.0395i | −1.89632 | − | 0.423491i | ||||
\(563\) | 7.26737 | − | 1.15104i | 0.306283 | − | 0.0485105i | −0.00140101 | − | 0.999999i | \(-0.500446\pi\) |
0.307684 | + | 0.951489i | \(0.400446\pi\) | |||||||
\(564\) | −2.00034 | + | 15.8839i | −0.0842293 | + | 0.668831i | ||||
\(565\) | 7.03629 | + | 8.86181i | 0.296019 | + | 0.372819i | ||||
\(566\) | 11.3852 | − | 7.22835i | 0.478554 | − | 0.303830i | ||||
\(567\) | 0.174011 | − | 0.341517i | 0.00730779 | − | 0.0143424i | ||||
\(568\) | 11.9750 | + | 4.30340i | 0.502461 | + | 0.180567i | ||||
\(569\) | 0.705433 | − | 0.229209i | 0.0295733 | − | 0.00960895i | −0.294193 | − | 0.955746i | \(-0.595051\pi\) |
0.323766 | + | 0.946137i | \(0.395051\pi\) | |||||||
\(570\) | −21.7998 | − | 22.6845i | −0.913094 | − | 0.950147i | ||||
\(571\) | 14.1569 | + | 4.59986i | 0.592448 | + | 0.192498i | 0.589869 | − | 0.807499i | \(-0.299179\pi\) |
0.00257852 | + | 0.999997i | \(0.499179\pi\) | |||||||
\(572\) | 0.739443 | + | 0.214517i | 0.0309177 | + | 0.00896941i | ||||
\(573\) | −47.7360 | − | 7.56064i | −1.99420 | − | 0.315850i | ||||
\(574\) | −0.878289 | − | 0.347542i | −0.0366591 | − | 0.0145061i | ||||
\(575\) | −28.9025 | − | 24.3388i | −1.20532 | − | 1.01500i | ||||
\(576\) | −25.0066 | + | 30.2996i | −1.04194 | + | 1.26248i | ||||
\(577\) | 2.34744 | − | 14.8211i | 0.0977252 | − | 0.617012i | −0.889408 | − | 0.457114i | \(-0.848883\pi\) |
0.987133 | − | 0.159899i | \(-0.0511168\pi\) | |||||||
\(578\) | 12.1502 | − | 1.15091i | 0.505381 | − | 0.0478715i | ||||
\(579\) | 18.9625 | − | 58.3605i | 0.788053 | − | 2.42538i | ||||
\(580\) | −18.7428 | − | 22.1228i | −0.778254 | − | 0.918600i | ||||
\(581\) | 1.22656 | + | 3.77498i | 0.0508865 | + | 0.156612i | ||||
\(582\) | −23.1840 | − | 53.5465i | −0.961007 | − | 2.21957i | ||||
\(583\) | −0.497411 | − | 0.253443i | −0.0206006 | − | 0.0104965i | ||||
\(584\) | 38.2710 | + | 7.27749i | 1.58366 | + | 0.301145i | ||||
\(585\) | 21.8527 | − | 0.934862i | 0.903498 | − | 0.0386518i | ||||
\(586\) | −7.40552 | + | 1.90295i | −0.305919 | + | 0.0786099i | ||||
\(587\) | −5.38898 | − | 34.0247i | −0.222427 | − | 1.40435i | −0.805820 | − | 0.592160i | \(-0.798275\pi\) |
0.583393 | − | 0.812190i | \(-0.301725\pi\) | |||||||
\(588\) | −4.65373 | − | 3.16003i | −0.191917 | − | 0.130318i | ||||
\(589\) | 2.72764 | + | 3.75427i | 0.112390 | + | 0.154692i | ||||
\(590\) | −7.22564 | + | 9.54042i | −0.297475 | + | 0.392773i | ||||
\(591\) | 44.1702 | − | 60.7951i | 1.81692 | − | 2.50078i | ||||
\(592\) | −11.0815 | + | 25.6626i | −0.455449 | + | 1.05473i | ||||
\(593\) | −2.66144 | − | 2.66144i | −0.109292 | − | 0.109292i | 0.650346 | − | 0.759638i | \(-0.274624\pi\) |
−0.759638 | + | 0.650346i | \(0.774624\pi\) | |||||||
\(594\) | −1.46599 | − | 0.0919469i | −0.0601504 | − | 0.00377263i | ||||
\(595\) | −4.76574 | − | 4.37471i | −0.195376 | − | 0.179346i | ||||
\(596\) | −6.24293 | + | 3.43524i | −0.255721 | + | 0.140713i | ||||
\(597\) | 24.3508 | + | 47.7910i | 0.996610 | + | 1.95596i | ||||
\(598\) | −10.8330 | + | 18.3256i | −0.442993 | + | 0.749391i | ||||
\(599\) | 22.6799 | 0.926676 | 0.463338 | − | 0.886182i | \(-0.346652\pi\) | ||||
0.463338 | + | 0.886182i | \(0.346652\pi\) | |||||||
\(600\) | −39.5679 | − | 4.06618i | −1.61535 | − | 0.166001i | ||||
\(601\) | −10.1159 | −0.412635 | −0.206317 | − | 0.978485i | \(-0.566148\pi\) | ||||
−0.206317 | + | 0.978485i | \(0.566148\pi\) | |||||||
\(602\) | −8.14547 | + | 13.7793i | −0.331984 | + | 0.561604i | ||||
\(603\) | 10.5667 | + | 20.7382i | 0.430308 | + | 0.844526i | ||||
\(604\) | 23.3874 | − | 12.8692i | 0.951620 | − | 0.523638i | ||||
\(605\) | 4.86603 | + | 24.0254i | 0.197832 | + | 0.976772i | ||||
\(606\) | −38.5375 | − | 2.41707i | −1.56548 | − | 0.0981866i | ||||
\(607\) | −18.3845 | − | 18.3845i | −0.746206 | − | 0.746206i | 0.227559 | − | 0.973764i | \(-0.426926\pi\) |
−0.973764 | + | 0.227559i | \(0.926926\pi\) | |||||||
\(608\) | 14.1353 | − | 14.1628i | 0.573264 | − | 0.574377i | ||||
\(609\) | −10.7186 | + | 14.7528i | −0.434338 | + | 0.597815i | ||||
\(610\) | −7.79277 | − | 11.1870i | −0.315520 | − | 0.452948i | ||||
\(611\) | 3.33212 | + | 4.58627i | 0.134803 | + | 0.185541i | ||||
\(612\) | 23.5074 | + | 15.9623i | 0.950232 | + | 0.645238i | ||||
\(613\) | 0.273273 | + | 1.72538i | 0.0110374 | + | 0.0696874i | 0.992592 | − | 0.121493i | \(-0.0387683\pi\) |
−0.981555 | + | 0.191181i | \(0.938768\pi\) | |||||||
\(614\) | −37.2207 | + | 9.56435i | −1.50210 | + | 0.385986i | ||||
\(615\) | 1.46760 | + | 3.93582i | 0.0591793 | + | 0.158707i | ||||
\(616\) | −0.102117 | + | 0.537014i | −0.00411441 | + | 0.0216369i | ||||
\(617\) | −41.2822 | − | 21.0344i | −1.66196 | − | 0.846811i | −0.994794 | − | 0.101902i | \(-0.967507\pi\) |
−0.667166 | − | 0.744909i | \(-0.732493\pi\) | |||||||
\(618\) | 25.0112 | + | 57.7668i | 1.00610 | + | 2.32372i | ||||
\(619\) | −13.8374 | − | 42.5873i | −0.556174 | − | 1.71173i | −0.692823 | − | 0.721108i | \(-0.743633\pi\) |
0.136649 | − | 0.990620i | \(-0.456367\pi\) | |||||||
\(620\) | 5.69937 | + | 1.39232i | 0.228892 | + | 0.0559170i | ||||
\(621\) | 12.5502 | − | 38.6256i | 0.503623 | − | 1.54999i | ||||
\(622\) | −19.3691 | + | 1.83471i | −0.776632 | + | 0.0735653i | ||||
\(623\) | −2.90018 | + | 18.3110i | −0.116193 | + | 0.733615i | ||||
\(624\) | 1.42448 | + | 22.3644i | 0.0570248 | + | 0.895294i | ||||
\(625\) | −11.6591 | − | 22.1148i | −0.466364 | − | 0.884593i | ||||
\(626\) | 34.4723 | + | 13.6408i | 1.37779 | + | 0.545197i | ||||
\(627\) | 1.89911 | + | 0.300790i | 0.0758433 | + | 0.0120124i | ||||
\(628\) | −17.2016 | − | 4.99030i | −0.686420 | − | 0.199135i | ||||
\(629\) | 19.2282 | + | 6.24762i | 0.766678 | + | 0.249109i | ||||
\(630\) | 2.12386 | + | 15.3833i | 0.0846168 | + | 0.612884i | ||||
\(631\) | 33.8162 | − | 10.9875i | 1.34620 | − | 0.437407i | 0.454788 | − | 0.890600i | \(-0.349715\pi\) |
0.891413 | + | 0.453192i | \(0.149715\pi\) | |||||||
\(632\) | 7.97395 | − | 22.1890i | 0.317187 | − | 0.882632i | ||||
\(633\) | −3.65297 | + | 7.16936i | −0.145192 | + | 0.284956i | ||||
\(634\) | 12.7440 | − | 8.09106i | 0.506129 | − | 0.321337i | ||||
\(635\) | −5.00399 | + | 1.86590i | −0.198577 | + | 0.0740461i | ||||
\(636\) | 2.03025 | − | 16.1214i | 0.0805046 | − | 0.639255i | ||||
\(637\) | −1.96738 | + | 0.311602i | −0.0779504 | + | 0.0123461i | ||||
\(638\) | 1.72946 | + | 0.386227i | 0.0684698 | + | 0.0152909i | ||||
\(639\) | −17.8736 | + | 12.9859i | −0.707069 | + | 0.513716i | ||||
\(640\) | 2.06082 | − | 25.2141i | 0.0814610 | − | 0.996677i | ||||
\(641\) | 1.48461 | + | 1.07863i | 0.0586386 | + | 0.0426034i | 0.616718 | − | 0.787184i | \(-0.288462\pi\) |
−0.558080 | + | 0.829787i | \(0.688462\pi\) | |||||||
\(642\) | −27.5941 | − | 31.2871i | −1.08905 | − | 1.23480i | ||||
\(643\) | −12.1829 | + | 12.1829i | −0.480447 | + | 0.480447i | −0.905274 | − | 0.424828i | \(-0.860335\pi\) |
0.424828 | + | 0.905274i | \(0.360335\pi\) | |||||||
\(644\) | −13.6782 | − | 6.42998i | −0.538995 | − | 0.253377i | ||||
\(645\) | 69.7678 | − | 14.1305i | 2.74710 | − | 0.556390i | ||||
\(646\) | −11.1531 | − | 9.22304i | −0.438815 | − | 0.362876i | ||||
\(647\) | 0.362239 | − | 0.184570i | 0.0142411 | − | 0.00725620i | −0.446855 | − | 0.894606i | \(-0.647456\pi\) |
0.461097 | + | 0.887350i | \(0.347456\pi\) | |||||||
\(648\) | −0.303065 | − | 1.04089i | −0.0119055 | − | 0.0408902i | ||||
\(649\) | − | 0.731426i | − | 0.0287110i | ||||||
\(650\) | −11.2026 | + | 8.53730i | −0.439402 | + | 0.334861i | ||||
\(651\) | − | 3.68985i | − | 0.144617i | ||||||
\(652\) | 4.91621 | + | 6.33287i | 0.192534 | + | 0.248014i | ||||
\(653\) | 20.8669 | − | 10.6322i | 0.816585 | − | 0.416071i | 0.00477225 | − | 0.999989i | \(-0.498481\pi\) |
0.811813 | + | 0.583918i | \(0.198481\pi\) | |||||||
\(654\) | −36.1417 | + | 43.7050i | −1.41325 | + | 1.70900i | ||||
\(655\) | 18.6027 | − | 20.2655i | 0.726867 | − | 0.791837i | ||||
\(656\) | −2.48322 | + | 0.985407i | −0.0969535 | + | 0.0384737i | ||||
\(657\) | −47.8268 | + | 47.8268i | −1.86590 | + | 1.86590i | ||||
\(658\) | −3.01856 | + | 2.66226i | −0.117676 | + | 0.103786i | ||||
\(659\) | 25.6127 | + | 18.6087i | 0.997730 | + | 0.724893i | 0.961600 | − | 0.274454i | \(-0.0884972\pi\) |
0.0361293 | + | 0.999347i | \(0.488497\pi\) | |||||||
\(660\) | 2.07778 | − | 1.26191i | 0.0808773 | − | 0.0491198i | ||||
\(661\) | 6.80975 | − | 4.94758i | 0.264869 | − | 0.192438i | −0.447422 | − | 0.894323i | \(-0.647658\pi\) |
0.712291 | + | 0.701885i | \(0.247658\pi\) | |||||||
\(662\) | −6.35782 | + | 28.4692i | −0.247104 | + | 1.10649i | ||||
\(663\) | 16.0089 | − | 2.53556i | 0.621734 | − | 0.0984730i | ||||
\(664\) | 9.84120 | + | 5.40279i | 0.381913 | + | 0.209669i | ||||
\(665\) | −0.338064 | − | 7.90235i | −0.0131096 | − | 0.306440i | ||||
\(666\) | −26.0129 | − | 40.9722i | −1.00798 | − | 1.58764i | ||||
\(667\) | −22.2438 | + | 43.6559i | −0.861283 | + | 1.69036i | ||||
\(668\) | −30.8307 | + | 0.980869i | −1.19287 | + | 0.0379510i | ||||
\(669\) | 45.8420 | − | 14.8950i | 1.77235 | − | 0.575873i | ||||
\(670\) | −13.2164 | − | 7.06855i | −0.510595 | − | 0.273082i | ||||
\(671\) | 0.792450 | + | 0.257483i | 0.0305922 | + | 0.00994001i | ||||
\(672\) | −15.7122 | + | 2.50420i | −0.606111 | + | 0.0966015i | ||||
\(673\) | 1.44077 | + | 0.228196i | 0.0555377 | + | 0.00879630i | 0.184141 | − | 0.982900i | \(-0.441050\pi\) |
−0.128604 | + | 0.991696i | \(0.541050\pi\) | |||||||
\(674\) | −9.62823 | + | 24.3319i | −0.370865 | + | 0.937230i | ||||
\(675\) | 17.3086 | − | 20.5541i | 0.666208 | − | 0.791126i | ||||
\(676\) | −13.1734 | − | 12.3610i | −0.506668 | − | 0.475423i | ||||
\(677\) | −3.50309 | + | 22.1176i | −0.134635 | + | 0.850050i | 0.824244 | + | 0.566235i | \(0.191600\pi\) |
−0.958879 | + | 0.283816i | \(0.908400\pi\) | |||||||
\(678\) | −1.89816 | − | 20.0389i | −0.0728983 | − | 0.769590i | ||||
\(679\) | 4.53314 | − | 13.9516i | 0.173966 | − | 0.535412i | ||||
\(680\) | −18.2963 | + | 0.218107i | −0.701631 | + | 0.00836404i | ||||
\(681\) | 20.6117 | + | 63.4363i | 0.789843 | + | 2.43089i | ||||
\(682\) | −0.329047 | + | 0.142467i | −0.0125999 | + | 0.00545536i | ||||
\(683\) | −22.9567 | − | 11.6970i | −0.878413 | − | 0.447574i | −0.0442041 | − | 0.999023i | \(-0.514075\pi\) |
−0.834209 | + | 0.551449i | \(0.814075\pi\) | |||||||
\(684\) | 6.52313 | + | 34.1235i | 0.249418 | + | 1.30474i | ||||
\(685\) | −40.2530 | + | 31.9610i | −1.53799 | + | 1.22117i | ||||
\(686\) | −0.351966 | − | 1.36972i | −0.0134381 | − | 0.0522960i | ||||
\(687\) | −7.70883 | − | 48.6716i | −0.294110 | − | 1.85694i | ||||
\(688\) | 9.91054 | + | 44.1761i | 0.377836 | + | 1.68420i | ||||
\(689\) | −3.38195 | − | 4.65485i | −0.128842 | − | 0.177336i | ||||
\(690\) | 19.4953 | + | 64.3250i | 0.742174 | + | 2.44881i | ||||
\(691\) | −6.73585 | + | 9.27110i | −0.256244 | + | 0.352689i | −0.917686 | − | 0.397307i | \(-0.869945\pi\) |
0.661442 | + | 0.749996i | \(0.269945\pi\) | |||||||
\(692\) | 4.18571 | + | 11.6121i | 0.159117 | + | 0.441426i | ||||
\(693\) | −0.671101 | − | 0.671101i | −0.0254930 | − | 0.0254930i | ||||
\(694\) | −0.714092 | + | 11.3854i | −0.0271065 | + | 0.432184i | ||||
\(695\) | −15.8497 | + | 34.6981i | −0.601213 | + | 1.31617i | ||||
\(696\) | 6.49420 | + | 51.1673i | 0.246162 | + | 1.93949i | ||||
\(697\) | 0.877246 | + | 1.72169i | 0.0332281 | + | 0.0652138i | ||||
\(698\) | 10.6267 | + | 6.28183i | 0.402226 | + | 0.237771i | ||||
\(699\) | 8.85186 | 0.334808 | ||||||||
\(700\) | −6.78435 | − | 7.34660i | −0.256424 | − | 0.277675i | ||||
\(701\) | −24.2625 | −0.916383 | −0.458192 | − | 0.888853i | \(-0.651503\pi\) | ||||
−0.458192 | + | 0.888853i | \(0.651503\pi\) | |||||||
\(702\) | −13.0323 | − | 7.70388i | −0.491873 | − | 0.290764i | ||||
\(703\) | 11.2223 | + | 22.0251i | 0.423258 | + | 0.830691i | ||||
\(704\) | 0.829973 | + | 1.30447i | 0.0312808 | + | 0.0491640i | ||||
\(705\) | 17.7821 | + | 2.04185i | 0.669713 | + | 0.0769006i | ||||
\(706\) | 0.426888 | − | 6.80626i | 0.0160661 | − | 0.256157i | ||||
\(707\) | −6.86431 | − | 6.86431i | −0.258159 | − | 0.258159i | ||||
\(708\) | 20.0276 | − | 7.21917i | 0.752684 | − | 0.271313i | ||||
\(709\) | 10.3520 | − | 14.2483i | 0.388777 | − | 0.535106i | −0.569106 | − | 0.822264i | \(-0.692711\pi\) |
0.957883 | + | 0.287158i | \(0.0927106\pi\) | |||||||
\(710\) | 4.66446 | − | 13.4404i | 0.175054 | − | 0.504408i | ||||
\(711\) | 24.0622 | + | 33.1188i | 0.902402 | + | 1.24205i | ||||
\(712\) | 29.4992 | + | 43.3524i | 1.10553 | + | 1.62470i | ||||
\(713\) | −1.55090 | − | 9.79203i | −0.0580818 | − | 0.366714i | ||||
\(714\) | 2.86401 | + | 11.1456i | 0.107183 | + | 0.417114i | ||||
\(715\) | 0.230770 | − | 0.829300i | 0.00863032 | − | 0.0310140i | ||||
\(716\) | −44.5296 | + | 8.51239i | −1.66415 | + | 0.318123i | ||||
\(717\) | 0.938407 | + | 0.478142i | 0.0350454 | + | 0.0178565i | ||||
\(718\) | 18.1311 | − | 7.85018i | 0.676645 | − | 0.292966i | ||||
\(719\) | 6.66074 | + | 20.4996i | 0.248404 | + | 0.764507i | 0.995058 | + | 0.0992954i | \(0.0316589\pi\) |
−0.746654 | + | 0.665212i | \(0.768341\pi\) | |||||||
\(720\) | 34.1801 | + | 27.5857i | 1.27382 | + | 1.02806i | ||||
\(721\) | −4.89042 | + | 15.0512i | −0.182129 | + | 0.560535i | ||||
\(722\) | 0.865218 | + | 9.13414i | 0.0322001 | + | 0.339937i | ||||
\(723\) | −3.60030 | + | 22.7314i | −0.133896 | + | 0.845389i | ||||
\(724\) | 8.22602 | − | 8.76664i | 0.305718 | − | 0.325809i | ||||
\(725\) | −24.5031 | + | 21.2247i | −0.910023 | + | 0.788266i | ||||
\(726\) | 16.0443 | − | 40.5463i | 0.595461 | − | 1.50482i | ||||
\(727\) | 14.8929 | + | 2.35880i | 0.552346 | + | 0.0874830i | 0.426368 | − | 0.904550i | \(-0.359793\pi\) |
0.125978 | + | 0.992033i | \(0.459793\pi\) | |||||||
\(728\) | −3.45050 | + | 4.45370i | −0.127884 | + | 0.165065i | ||||
\(729\) | −41.3372 | − | 13.4313i | −1.53101 | − | 0.497454i | ||||
\(730\) | 7.66747 | − | 42.8748i | 0.283786 | − | 1.58687i | ||||
\(731\) | 31.1430 | − | 10.1190i | 1.15187 | − | 0.374264i | ||||
\(732\) | 0.771186 | + | 24.2399i | 0.0285039 | + | 0.895934i | ||||
\(733\) | −5.41443 | + | 10.6264i | −0.199987 | + | 0.392496i | −0.969119 | − | 0.246594i | \(-0.920689\pi\) |
0.769132 | + | 0.639090i | \(0.220689\pi\) | |||||||
\(734\) | −5.23348 | − | 8.24311i | −0.193171 | − | 0.304259i | ||||
\(735\) | −3.47584 | + | 5.24141i | −0.128208 | + | 0.193332i | ||||
\(736\) | −40.6441 | + | 13.2497i | −1.49816 | + | 0.488389i | ||||
\(737\) | 0.904723 | − | 0.143294i | 0.0333259 | − | 0.00527831i | ||||
\(738\) | 1.01097 | − | 4.52695i | 0.0372144 | − | 0.166639i | ||||
\(739\) | −18.6634 | + | 13.5598i | −0.686546 | + | 0.498805i | −0.875523 | − | 0.483177i | \(-0.839483\pi\) |
0.188977 | + | 0.981982i | \(0.439483\pi\) | |||||||
\(740\) | 28.8256 | + | 12.0746i | 1.05965 | + | 0.443872i | ||||
\(741\) | 16.0326 | + | 11.6483i | 0.588971 | + | 0.427913i | ||||
\(742\) | 3.06370 | − | 2.70207i | 0.112472 | − | 0.0991962i | ||||
\(743\) | −7.92175 | + | 7.92175i | −0.290621 | + | 0.290621i | −0.837326 | − | 0.546705i | \(-0.815882\pi\) |
0.546705 | + | 0.837326i | \(0.315882\pi\) | |||||||
\(744\) | −7.14868 | − | 7.60370i | −0.262083 | − | 0.278765i | ||||
\(745\) | 3.91691 | + | 6.93734i | 0.143504 | + | 0.254164i | ||||
\(746\) | 30.4564 | − | 36.8300i | 1.11509 | − | 1.34844i | ||||
\(747\) | −17.3675 | + | 8.84919i | −0.635444 | + | 0.323775i | ||||
\(748\) | 0.883344 | − | 0.685741i | 0.0322982 | − | 0.0250732i | ||||
\(749\) | − | 10.4879i | − | 0.383221i | ||||||
\(750\) | −4.06145 | + | 44.2854i | −0.148303 | + | 1.61707i | ||||
\(751\) | − | 30.6572i | − | 1.11870i | −0.828933 | − | 0.559348i | \(-0.811052\pi\) | ||
0.828933 | − | 0.559348i | \(-0.188948\pi\) | |||||||
\(752\) | −1.06253 | + | 11.3343i | −0.0387465 | + | 0.413318i | ||||
\(753\) | 29.0532 | − | 14.8033i | 1.05876 | − | 0.539463i | ||||
\(754\) | 14.0748 | + | 11.6391i | 0.512573 | + | 0.423870i | ||||
\(755\) | −14.6736 | − | 25.9888i | −0.534027 | − | 0.945829i | ||||
\(756\) | 4.57269 | − | 9.72726i | 0.166307 | − | 0.353777i | ||||
\(757\) | 28.3634 | − | 28.3634i | 1.03088 | − | 1.03088i | 0.0313771 | − | 0.999508i | \(-0.490011\pi\) |
0.999508 | − | 0.0313771i | \(-0.00998929\pi\) | |||||||
\(758\) | −9.11272 | − | 10.3323i | −0.330989 | − | 0.375286i | ||||
\(759\) | −3.32333 | − | 2.41454i | −0.120629 | − | 0.0876423i | ||||
\(760\) | −16.0066 | − | 15.6295i | −0.580620 | − | 0.566940i | ||||
\(761\) | −35.2076 | + | 25.5798i | −1.27628 | + | 0.927269i | −0.999434 | − | 0.0336470i | \(-0.989288\pi\) |
−0.276842 | + | 0.960916i | \(0.589288\pi\) | |||||||
\(762\) | 9.27165 | + | 2.07057i | 0.335876 | + | 0.0750088i | ||||
\(763\) | −14.0824 | + | 2.23044i | −0.509818 | + | 0.0807472i | ||||
\(764\) | −34.0981 | − | 4.29415i | −1.23362 | − | 0.155357i | ||||
\(765\) | 17.5576 | − | 26.4760i | 0.634795 | − | 0.957241i | ||||
\(766\) | 17.5470 | − | 11.1405i | 0.634001 | − | 0.402522i | ||||
\(767\) | 3.42240 | − | 6.71685i | 0.123576 | − | 0.242531i | ||||
\(768\) | −27.5266 | + | 35.6011i | −0.993282 | + | 1.28464i | ||||
\(769\) | −38.5208 | + | 12.5162i | −1.38910 | + | 0.451344i | −0.905648 | − | 0.424029i | \(-0.860615\pi\) |
−0.483447 | + | 0.875374i | \(0.660615\pi\) | |||||||
\(770\) | 0.601614 | + | 0.107589i | 0.0216807 | + | 0.00387724i | ||||
\(771\) | −58.8652 | − | 19.1265i | −2.11998 | − | 0.688823i | ||||
\(772\) | 12.1575 | − | 41.9070i | 0.437557 | − | 1.50827i | ||||
\(773\) | 10.2381 | + | 1.62155i | 0.368238 | + | 0.0583232i | 0.337812 | − | 0.941214i | \(-0.390313\pi\) |
0.0304268 | + | 0.999537i | \(0.490313\pi\) | |||||||
\(774\) | −73.0914 | − | 28.9225i | −2.62722 | − | 1.03960i | ||||
\(775\) | 1.48680 | − | 6.38876i | 0.0534073 | − | 0.229491i | ||||
\(776\) | −17.6882 | − | 37.5326i | −0.634969 | − | 1.34734i | ||||
\(777\) | 3.07475 | − | 19.4132i | 0.110306 | − | 0.696444i | ||||
\(778\) | 5.17946 | − | 0.490617i | 0.185693 | − | 0.0175895i | ||||
\(779\) | −0.730064 | + | 2.24691i | −0.0261573 | + | 0.0805038i | ||||
\(780\) | 24.9853 | − | 1.86631i | 0.894616 | − | 0.0668248i | ||||
\(781\) | 0.268684 | + | 0.826925i | 0.00961428 | + | 0.0295897i | ||||
\(782\) | 12.2851 | + | 28.3741i | 0.439315 | + | 1.01466i | ||||
\(783\) | −31.0460 | − | 15.8187i | −1.10949 | − | 0.565315i | ||||
\(784\) | −3.37897 | − | 2.14069i | −0.120678 | − | 0.0764530i | ||||
\(785\) | −5.36840 | + | 19.2920i | −0.191607 | + | 0.688560i | ||||
\(786\) | −47.3947 | + | 12.1787i | −1.69051 | + | 0.434400i | ||||
\(787\) | 1.60038 | + | 10.1044i | 0.0570473 | + | 0.360183i | 0.999655 | + | 0.0262793i | \(0.00836592\pi\) |
−0.942607 | + | 0.333903i | \(0.891634\pi\) | |||||||
\(788\) | 30.0182 | − | 44.2073i | 1.06935 | − | 1.57482i | ||||
\(789\) | 44.0967 | + | 60.6938i | 1.56988 | + | 2.16076i | ||||
\(790\) | −24.9042 | − | 8.64297i | −0.886052 | − | 0.307503i | ||||
\(791\) | 2.97446 | − | 4.09400i | 0.105760 | − | 0.145566i | ||||
\(792\) | −2.68313 | − | 0.0827573i | −0.0953408 | − | 0.00294065i | ||||
\(793\) | 6.07247 | + | 6.07247i | 0.215640 | + | 0.215640i | ||||
\(794\) | 39.6768 | + | 2.48853i | 1.40808 | + | 0.0883145i | ||||
\(795\) | −18.0480 | − | 2.07239i | −0.640098 | − | 0.0735000i | ||||
\(796\) | 18.3873 | + | 33.4157i | 0.651721 | + | 1.18439i | ||||
\(797\) | 12.7550 | + | 25.0331i | 0.451806 | + | 0.886719i | 0.998771 | + | 0.0495637i | \(0.0157831\pi\) |
−0.546965 | + | 0.837156i | \(0.684217\pi\) | |||||||
\(798\) | −7.15983 | + | 12.1120i | −0.253455 | + | 0.428759i | ||||
\(799\) | 8.23375 | 0.291289 | ||||||||
\(800\) | −28.2138 | − | 1.99525i | −0.997509 | − | 0.0705426i | ||||
\(801\) | −91.0419 | −3.21681 | ||||||||
\(802\) | 3.82853 | − | 6.47656i | 0.135190 | − | 0.228695i | ||||
\(803\) | 1.20848 | + | 2.37177i | 0.0426462 | + | 0.0836979i | ||||
\(804\) | 12.8532 | + | 23.3585i | 0.453299 | + | 0.823790i | ||||
\(805\) | −7.02105 | + | 15.3705i | −0.247459 | + | 0.541738i | ||||
\(806\) | −3.68833 | − | 0.231332i | −0.129916 | − | 0.00814831i | ||||
\(807\) | −24.6812 | − | 24.6812i | −0.868819 | − | 0.868819i | ||||
\(808\) | −27.4442 | − | 0.846478i | −0.965483 | − | 0.0297790i | ||||
\(809\) | 7.89972 | − | 10.8730i | 0.277739 | − | 0.382275i | −0.647244 | − | 0.762283i | \(-0.724079\pi\) |
0.924983 | + | 0.380007i | \(0.124079\pi\) | |||||||
\(810\) | −1.15998 | + | 0.351560i | −0.0407574 | + | 0.0123525i | ||||
\(811\) | 4.59656 | + | 6.32663i | 0.161407 | + | 0.222158i | 0.882059 | − | 0.471140i | \(-0.156157\pi\) |
−0.720652 | + | 0.693297i | \(0.756157\pi\) | |||||||
\(812\) | −7.28436 | + | 10.7276i | −0.255631 | + | 0.376464i | ||||
\(813\) | 0.994821 | + | 6.28105i | 0.0348899 | + | 0.220286i | ||||
\(814\) | −1.84992 | + | 0.475360i | −0.0648395 | + | 0.0166614i | ||||
\(815\) | 7.01975 | − | 5.57369i | 0.245891 | − | 0.195238i | ||||
\(816\) | 27.4953 | + | 17.4191i | 0.962528 | + | 0.609791i | ||||
\(817\) | 35.6730 | + | 18.1763i | 1.24804 | + | 0.635908i | ||||
\(818\) | −12.9029 | − | 29.8010i | −0.451139 | − | 1.04197i | ||||
\(819\) | −3.02273 | − | 9.30301i | −0.105623 | − | 0.325073i | ||||
\(820\) | 1.13205 | + | 2.76410i | 0.0395330 | + | 0.0965264i | ||||
\(821\) | 12.3714 | − | 38.0751i | 0.431763 | − | 1.32883i | −0.464604 | − | 0.885519i | \(-0.653803\pi\) |
0.896367 | − | 0.443312i | \(-0.146197\pi\) | |||||||
\(822\) | 91.0228 | − | 8.62201i | 3.17479 | − | 0.300727i | ||||
\(823\) | −0.0415403 | + | 0.262275i | −0.00144801 | + | 0.00914234i | −0.988402 | − | 0.151862i | \(-0.951473\pi\) |
0.986954 | + | 0.161004i | \(0.0514732\pi\) | |||||||
\(824\) | 19.0823 | + | 40.4907i | 0.664763 | + | 1.41056i | ||||
\(825\) | −1.43621 | − | 2.30744i | −0.0500025 | − | 0.0803346i | ||||
\(826\) | 4.97672 | + | 1.96931i | 0.173162 | + | 0.0685209i | ||||
\(827\) | 20.4902 | + | 3.24533i | 0.712515 | + | 0.112851i | 0.502161 | − | 0.864774i | \(-0.332538\pi\) |
0.210354 | + | 0.977625i | \(0.432538\pi\) | |||||||
\(828\) | 20.6796 | − | 71.2828i | 0.718665 | − | 2.47725i | ||||
\(829\) | 11.4737 | + | 3.72804i | 0.398499 | + | 0.129480i | 0.501409 | − | 0.865211i | \(-0.332815\pi\) |
−0.102910 | + | 0.994691i | \(0.532815\pi\) | |||||||
\(830\) | 5.91966 | − | 11.0683i | 0.205474 | − | 0.384186i | ||||
\(831\) | 18.0967 | − | 5.87998i | 0.627768 | − | 0.203974i | ||||
\(832\) | 1.51810 | + | 15.8627i | 0.0526308 | + | 0.549942i | ||||
\(833\) | −1.31344 | + | 2.57778i | −0.0455081 | + | 0.0893147i | ||||
\(834\) | 57.2867 | − | 36.3708i | 1.98368 | − | 1.25942i | ||||
\(835\) | 1.47402 | + | 34.4557i | 0.0510106 | + | 1.19239i | ||||
\(836\) | 1.35655 | + | 0.170837i | 0.0469172 | + | 0.00590852i | ||||
\(837\) | 6.96362 | − | 1.10293i | 0.240698 | − | 0.0381228i | ||||
\(838\) | −28.3209 | − | 6.32471i | −0.978330 | − | 0.218483i | ||||
\(839\) | −13.9071 | + | 10.1041i | −0.480126 | + | 0.348832i | −0.801374 | − | 0.598163i | \(-0.795897\pi\) |
0.321249 | + | 0.946995i | \(0.395897\pi\) | |||||||
\(840\) | 2.99196 | + | 17.5351i | 0.103233 | + | 0.605017i | ||||
\(841\) | 10.5461 | + | 7.66216i | 0.363657 | + | 0.264212i | ||||
\(842\) | −23.9506 | − | 27.1560i | −0.825394 | − | 0.935859i | ||||
\(843\) | 64.7780 | − | 64.7780i | 2.23107 | − | 2.23107i | ||||
\(844\) | −2.43414 | + | 5.17803i | −0.0837867 | + | 0.178235i | ||||
\(845\) | −13.6579 | + | 14.8787i | −0.469846 | + | 0.511843i | ||||
\(846\) | −15.2317 | − | 12.5957i | −0.523675 | − | 0.433051i | ||||
\(847\) | 9.76779 | − | 4.97694i | 0.335625 | − | 0.171010i | ||||
\(848\) | 1.07842 | − | 11.5038i | 0.0370331 | − | 0.395041i | ||||
\(849\) | 26.8211i | 0.920496i | ||||||||
\(850\) | 0.467827 | + | 20.4520i | 0.0160463 | + | 0.701498i | ||||
\(851\) | − | 52.8106i | − | 1.81032i | ||||||
\(852\) | −19.9906 | + | 15.5188i | −0.684868 | + | 0.531664i | ||||
\(853\) | 19.8128 | − | 10.0951i | 0.678377 | − | 0.345651i | −0.0806193 | − | 0.996745i | \(-0.525690\pi\) |
0.758997 | + | 0.651094i | \(0.225690\pi\) | |||||||
\(854\) | −3.88556 | + | 4.69869i | −0.132961 | + | 0.160786i | ||||
\(855\) | 38.0691 | − | 7.71039i | 1.30193 | − | 0.263690i | ||||
\(856\) | −20.3192 | − | 21.6126i | −0.694497 | − | 0.738702i | ||||
\(857\) | −7.17153 | + | 7.17153i | −0.244975 | + | 0.244975i | −0.818905 | − | 0.573930i | \(-0.805418\pi\) |
0.573930 | + | 0.818905i | \(0.305418\pi\) | |||||||
\(858\) | −1.14841 | + | 1.01286i | −0.0392061 | + | 0.0345784i | ||||
\(859\) | −41.7760 | − | 30.3520i | −1.42538 | − | 1.03560i | −0.990854 | − | 0.134936i | \(-0.956917\pi\) |
−0.434523 | − | 0.900661i | \(-0.643083\pi\) | |||||||
\(860\) | 49.2661 | − | 11.6205i | 1.67996 | − | 0.396255i | ||||
\(861\) | 1.51977 | − | 1.10418i | 0.0517935 | − | 0.0376302i | ||||
\(862\) | 4.46908 | − | 20.0118i | 0.152217 | − | 0.681603i | ||||
\(863\) | −13.9914 | + | 2.21601i | −0.476271 | + | 0.0754340i | −0.389955 | − | 0.920834i | \(-0.627510\pi\) |
−0.0863162 | + | 0.996268i | \(0.527510\pi\) | |||||||
\(864\) | −9.42253 | − | 28.9041i | −0.320561 | − | 0.983338i | ||||
\(865\) | 12.9307 | − | 4.82164i | 0.439658 | − | 0.163941i | ||||
\(866\) | 3.08641 | + | 4.86132i | 0.104881 | + | 0.165194i | ||||
\(867\) | −11.0195 | + | 21.6271i | −0.374243 | + | 0.734494i | ||||
\(868\) | −0.0834330 | − | 2.62247i | −0.00283190 | − | 0.0890123i | ||||
\(869\) | 1.53224 | − | 0.497856i | 0.0519778 | − | 0.0168886i | ||||
\(870\) | 57.1239 | − | 7.88671i | 1.93668 | − | 0.267385i | ||||
\(871\) | 8.97876 | + | 2.91738i | 0.304234 | + | 0.0988515i | ||||
\(872\) | −24.6985 | + | 31.8794i | −0.836397 | + | 1.07957i | ||||
\(873\) | 71.1518 | + | 11.2693i | 2.40812 | + | 0.381409i | ||||
\(874\) | −13.9097 | + | 35.1519i | −0.470503 | + | 1.18903i | ||||
\(875\) | −8.13020 | + | 7.67462i | −0.274851 | + | 0.259450i | ||||
\(876\) | −53.0152 | + | 56.4994i | −1.79122 | + | 1.90894i | ||||
\(877\) | −4.10685 | + | 25.9296i | −0.138679 | + | 0.875582i | 0.816024 | + | 0.578019i | \(0.196174\pi\) |
−0.954702 | + | 0.297563i | \(0.903826\pi\) | |||||||
\(878\) | −2.26329 | − | 23.8936i | −0.0763824 | − | 0.806372i | ||||
\(879\) | 4.69912 | − | 14.4624i | 0.158497 | − | 0.487805i | ||||
\(880\) | 1.44819 | − | 0.943852i | 0.0488185 | − | 0.0318172i | ||||
\(881\) | 2.56635 | + | 7.89842i | 0.0864626 | + | 0.266105i | 0.984935 | − | 0.172926i | \(-0.0553221\pi\) |
−0.898472 | + | 0.439030i | \(0.855322\pi\) | |||||||
\(882\) | 6.37315 | − | 2.75938i | 0.214595 | − | 0.0929130i | ||||
\(883\) | 36.5369 | + | 18.6165i | 1.22957 | + | 0.626495i | 0.943391 | − | 0.331683i | \(-0.107616\pi\) |
0.286174 | + | 0.958178i | \(0.407616\pi\) | |||||||
\(884\) | 11.3206 | − | 2.16407i | 0.380752 | − | 0.0727856i | ||||
\(885\) | −8.31598 | − | 22.3018i | −0.279538 | − | 0.749668i | ||||
\(886\) | 3.89686 | + | 15.1650i | 0.130917 | + | 0.509479i | ||||
\(887\) | −1.33985 | − | 8.45945i | −0.0449876 | − | 0.284041i | 0.954931 | − | 0.296829i | \(-0.0959292\pi\) |
−0.999918 | + | 0.0127885i | \(0.995929\pi\) | |||||||
\(888\) | −31.2748 | − | 45.9619i | −1.04951 | − | 1.54238i | ||||
\(889\) | 1.40385 | + | 1.93223i | 0.0470835 | + | 0.0648049i | ||||
\(890\) | 48.1054 | − | 33.5098i | 1.61250 | − | 1.12325i | ||||
\(891\) | 0.0435415 | − | 0.0599298i | 0.00145870 | − | 0.00200772i | ||||
\(892\) | 32.2442 | − | 11.6228i | 1.07962 | − | 0.389159i | ||||
\(893\) | 7.11847 | + | 7.11847i | 0.238211 | + | 0.238211i | ||||
\(894\) | 0.887099 | − | 14.1438i | 0.0296690 | − | 0.473040i | ||||
\(895\) | 10.0617 | + | 49.6784i | 0.336326 | + | 1.66057i | ||||
\(896\) | −11.1104 | + | 2.13507i | −0.371173 | + | 0.0713277i | ||||
\(897\) | −19.2211 | − | 37.7235i | −0.641772 | − | 1.25955i | ||||
\(898\) | 37.2751 | + | 22.0347i | 1.24389 | + | 0.735306i | ||||
\(899\) | −8.50567 | −0.283680 | ||||||||
\(900\) | 30.4214 | − | 38.5499i | 1.01405 | − | 1.28500i | ||||
\(901\) | −8.35689 | −0.278408 | ||||||||
\(902\) | −0.157146 | − | 0.0928945i | −0.00523237 | − | 0.00309305i | ||||
\(903\) | −14.4526 | − | 28.3648i | −0.480953 | − | 0.943923i | ||||
\(904\) | −1.80218 | − | 14.1992i | −0.0599395 | − | 0.472259i | ||||
\(905\) | −9.90152 | − | 9.08909i | −0.329138 | − | 0.302132i | ||||
\(906\) | −3.32327 | + | 52.9859i | −0.110408 | + | 1.76034i | ||||
\(907\) | 5.25117 | + | 5.25117i | 0.174362 | + | 0.174362i | 0.788893 | − | 0.614531i | \(-0.210655\pi\) |
−0.614531 | + | 0.788893i | \(0.710655\pi\) | |||||||
\(908\) | 16.0836 | + | 44.6197i | 0.533754 | + | 1.48076i | ||||
\(909\) | 28.0207 | − | 38.5672i | 0.929388 | − | 1.27919i | ||||
\(910\) | 5.02134 | + | 3.80302i | 0.166456 | + | 0.126069i | ||||
\(911\) | 32.2540 | + | 44.3938i | 1.06862 | + | 1.47083i | 0.871463 | + | 0.490462i | \(0.163172\pi\) |
0.197160 | + | 0.980371i | \(0.436828\pi\) | |||||||
\(912\) | 8.71133 | + | 38.8306i | 0.288461 | + | 1.28581i | ||||
\(913\) | 0.120004 | + | 0.757673i | 0.00397154 | + | 0.0250753i | ||||
\(914\) | −0.672216 | − | 2.61600i | −0.0222349 | − | 0.0865296i | ||||
\(915\) | 27.0900 | − | 1.15892i | 0.895568 | − | 0.0383126i | ||||
\(916\) | −6.57939 | − | 34.4178i | −0.217389 | − | 1.13720i | ||||
\(917\) | −10.9615 | − | 5.58518i | −0.361982 | − | 0.184439i | ||||
\(918\) | −20.1783 | + | 8.73659i | −0.665984 | + | 0.288350i | ||||
\(919\) | −3.08011 | − | 9.47960i | −0.101603 | − | 0.312703i | 0.887315 | − | 0.461164i | \(-0.152568\pi\) |
−0.988918 | + | 0.148461i | \(0.952568\pi\) | |||||||
\(920\) | 15.3103 | + | 45.2765i | 0.504765 | + | 1.49272i | ||||
\(921\) | 23.6181 | − | 72.6891i | 0.778244 | − | 2.39519i | ||||
\(922\) | 2.40620 | + | 25.4023i | 0.0792439 | + | 0.836580i | ||||
\(923\) | −1.40187 | + | 8.85103i | −0.0461430 | + | 0.291335i | ||||
\(924\) | −0.792793 | − | 0.743904i | −0.0260810 | − | 0.0244726i | ||||
\(925\) | 13.1461 | − | 32.3739i | 0.432243 | − | 1.06445i | ||||
\(926\) | 17.3933 | − | 43.9554i | 0.571579 | − | 1.44446i | ||||
\(927\) | −76.7596 | − | 12.1575i | −2.52112 | − | 0.399306i | ||||
\(928\) | 5.77256 | + | 36.2190i | 0.189493 | + | 1.18895i | ||||
\(929\) | −18.5116 | − | 6.01477i | −0.607344 | − | 0.197338i | −0.0108310 | − | 0.999941i | \(-0.503448\pi\) |
−0.596513 | + | 0.802603i | \(0.703448\pi\) | |||||||
\(930\) | −8.41317 | + | 8.08508i | −0.275879 | + | 0.265120i | ||||
\(931\) | −3.36414 | + | 1.09308i | −0.110255 | + | 0.0358241i | ||||
\(932\) | 6.29123 | − | 0.200154i | 0.206076 | − | 0.00655625i | ||||
\(933\) | 17.5667 | − | 34.4766i | 0.575109 | − | 1.12871i | ||||
\(934\) | −18.6857 | − | 29.4313i | −0.611414 | − | 0.963021i | ||||
\(935\) | −0.777450 | − | 0.979154i | −0.0254253 | − | 0.0320218i | ||||
\(936\) | −24.2525 | − | 13.3146i | −0.792719 | − | 0.435200i | ||||
\(937\) | 32.4747 | − | 5.14349i | 1.06090 | − | 0.168030i | 0.398492 | − | 0.917172i | \(-0.369534\pi\) |
0.662410 | + | 0.749141i | \(0.269534\pi\) | |||||||
\(938\) | −1.46090 | + | 6.54167i | −0.0477002 | + | 0.213593i | ||||
\(939\) | −59.6500 | + | 43.3383i | −1.94660 | + | 1.41429i | ||||
\(940\) | 12.6843 | + | 1.04911i | 0.413718 | + | 0.0342183i | ||||
\(941\) | −36.5383 | − | 26.5466i | −1.19111 | − | 0.865395i | −0.197732 | − | 0.980256i | \(-0.563358\pi\) |
−0.993382 | + | 0.114861i | \(0.963358\pi\) | |||||||
\(942\) | 26.7154 | − | 23.5620i | 0.870436 | − | 0.767693i | ||||
\(943\) | 3.56902 | − | 3.56902i | 0.116223 | − | 0.116223i | ||||
\(944\) | 14.0709 | − | 5.58369i | 0.457968 | − | 0.181734i | ||||
\(945\) | −10.9307 | − | 4.99303i | −0.355577 | − | 0.162423i | ||||
\(946\) | −1.97145 | + | 2.38402i | −0.0640974 | + | 0.0775110i | ||||
\(947\) | 36.6520 | − | 18.6751i | 1.19103 | − | 0.606861i | 0.257822 | − | 0.966193i | \(-0.416995\pi\) |
0.933210 | + | 0.359332i | \(0.116995\pi\) | |||||||
\(948\) | 28.7553 | + | 37.0415i | 0.933930 | + | 1.20305i | ||||
\(949\) | 27.4351i | 0.890580i | ||||||||
\(950\) | −17.2773 | + | 18.0862i | −0.560549 | + | 0.586793i | ||||
\(951\) | 30.0222i | 0.973536i | ||||||||
\(952\) | 2.28754 | + | 7.85670i | 0.0741396 | + | 0.254637i | ||||
\(953\) | −22.3747 | + | 11.4005i | −0.724788 | + | 0.369298i | −0.777137 | − | 0.629331i | \(-0.783329\pi\) |
0.0523496 | + | 0.998629i | \(0.483329\pi\) | |||||||
\(954\) | 15.4594 | + | 12.7841i | 0.500518 | + | 0.413901i | ||||
\(955\) | −4.38327 | + | 38.1731i | −0.141839 | + | 1.23525i | ||||
\(956\) | 0.677760 | + | 0.318608i | 0.0219203 | + | 0.0103045i | ||||
\(957\) | −2.49205 | + | 2.49205i | −0.0805565 | + | 0.0805565i | ||||
\(958\) | 14.1339 | + | 16.0255i | 0.456646 | + | 0.517760i | ||||
\(959\) | 18.5962 | + | 13.5109i | 0.600502 | + | 0.436290i | ||||
\(960\) | 40.1379 | + | 30.3380i | 1.29544 | + | 0.979156i | ||||
\(961\) | −23.6872 | + | 17.2097i | −0.764102 | + | 0.555152i | ||||
\(962\) | −19.2124 | − | 4.29058i | −0.619434 | − | 0.138334i | ||||
\(963\) | 50.8696 | − | 8.05696i | 1.63925 | − | 0.259632i | ||||
\(964\) | −2.04483 | + | 16.2371i | −0.0658595 | + | 0.522963i | ||||
\(965\) | −46.9995 | − | 13.0786i | −1.51297 | − | 0.421015i | ||||
\(966\) | 25.3767 | − | 16.1114i | 0.816482 | − | 0.518377i | ||||
\(967\) | 15.3189 | − | 30.0651i | 0.492623 | − | 0.966827i | −0.502156 | − | 0.864777i | \(-0.667460\pi\) |
0.994779 | − | 0.102050i | \(-0.0325402\pi\) | |||||||
\(968\) | 10.4863 | − | 29.1800i | 0.337042 | − | 0.937882i | ||||
\(969\) | 27.3746 | − | 8.89455i | 0.879399 | − | 0.285734i | ||||
\(970\) | −41.7437 | + | 20.2343i | −1.34031 | + | 0.649684i | ||||
\(971\) | 21.6943 | + | 7.04889i | 0.696202 | + | 0.226210i | 0.635675 | − | 0.771957i | \(-0.280722\pi\) |
0.0605271 | + | 0.998167i | \(0.480722\pi\) | |||||||
\(972\) | −28.8977 | − | 8.38341i | −0.926896 | − | 0.268898i | ||||
\(973\) | 16.8497 | + | 2.66873i | 0.540176 | + | 0.0855555i | ||||
\(974\) | −10.2797 | − | 4.06773i | −0.329384 | − | 0.130338i | ||||
\(975\) | −2.39236 | − | 27.9099i | −0.0766167 | − | 0.893831i | ||||
\(976\) | 1.09620 | + | 17.2105i | 0.0350886 | + | 0.550894i | ||||
\(977\) | 6.41792 | − | 40.5211i | 0.205327 | − | 1.29639i | −0.642571 | − | 0.766226i | \(-0.722132\pi\) |
0.847898 | − | 0.530159i | \(-0.177868\pi\) | |||||||
\(978\) | −15.8735 | + | 1.50360i | −0.507579 | + | 0.0480797i | ||||
\(979\) | −1.10721 | + | 3.40763i | −0.0353865 | + | 0.108908i | ||||
\(980\) | −2.35185 | + | 3.80379i | −0.0751271 | + | 0.121508i | ||||
\(981\) | −21.6366 | − | 66.5905i | −0.690803 | − | 2.12607i | ||||
\(982\) | −16.8672 | − | 38.9571i | −0.538254 | − | 1.24317i | ||||
\(983\) | 43.4202 | + | 22.1237i | 1.38489 | + | 0.705636i | 0.978148 | − | 0.207908i | \(-0.0666654\pi\) |
0.406740 | + | 0.913544i | \(0.366665\pi\) | |||||||
\(984\) | 0.992575 | − | 5.21977i | 0.0316422 | − | 0.166400i | ||||
\(985\) | −49.7898 | − | 33.0181i | −1.58643 | − | 1.05205i | ||||
\(986\) | 25.6923 | − | 6.60198i | 0.818210 | − | 0.210250i | ||||
\(987\) | −1.25220 | − | 7.90611i | −0.0398581 | − | 0.251654i | ||||
\(988\) | 11.6581 | + | 7.91624i | 0.370894 | + | 0.251849i | ||||
\(989\) | −50.2762 | − | 69.1992i | −1.59869 | − | 2.20041i | ||||
\(990\) | −0.0596721 | + | 3.00066i | −0.00189650 | + | 0.0953672i | ||||
\(991\) | −34.1756 | + | 47.0387i | −1.08562 | + | 1.49423i | −0.232449 | + | 0.972609i | \(0.574674\pi\) |
−0.853175 | + | 0.521625i | \(0.825326\pi\) | |||||||
\(992\) | −5.25267 | − | 5.24249i | −0.166773 | − | 0.166449i | ||||
\(993\) | −41.0226 | − | 41.0226i | −1.30181 | − | 1.30181i | ||||
\(994\) | −6.34992 | − | 0.398266i | −0.201407 | − | 0.0126322i | ||||
\(995\) | 37.1325 | − | 20.9655i | 1.17718 | − | 0.664650i | ||||
\(996\) | −19.5619 | + | 10.7641i | −0.619842 | + | 0.341074i | ||||
\(997\) | 17.6773 | + | 34.6937i | 0.559847 | + | 1.09876i | 0.981403 | + | 0.191959i | \(0.0614841\pi\) |
−0.421556 | + | 0.906802i | \(0.638516\pi\) | |||||||
\(998\) | −6.95388 | + | 11.7636i | −0.220121 | + | 0.372370i | ||||
\(999\) | 37.5564 | 1.18823 |
(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 | 700.2.bj.a.323.30 | ✓ | 720 | |
4.3 | odd | 2 | inner | 700.2.bj.a.323.53 | yes | 720 | |
25.12 | odd | 20 | inner | 700.2.bj.a.687.53 | yes | 720 | |
100.87 | even | 20 | inner | 700.2.bj.a.687.30 | yes | 720 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
700.2.bj.a.323.30 | ✓ | 720 | 1.1 | even | 1 | trivial | |
700.2.bj.a.323.53 | yes | 720 | 4.3 | odd | 2 | inner | |
700.2.bj.a.687.30 | yes | 720 | 100.87 | even | 20 | inner | |
700.2.bj.a.687.53 | yes | 720 | 25.12 | odd | 20 | inner |