Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [287,2,Mod(12,287)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(287, base_ring=CyclotomicField(120))
chi = DirichletCharacter(H, H._module([100, 81]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("287.12");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 287 = 7 \cdot 41 \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 287.be (of order \(120\), degree \(32\), 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: | \(2.29170653801\) |
Analytic rank: | \(0\) |
Dimension: | \(832\) |
Relative dimension: | \(26\) over \(\Q(\zeta_{120})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{120}]$ |
Embedding invariants
Embedding label | 12.10 | ||
Character | \(\chi\) | \(=\) | 287.12 |
Dual form | 287.2.be.a.24.10 |
$q$-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 \(\left(\mathbb{Z}/287\mathbb{Z}\right)^\times\).
\(n\) | \(206\) | \(211\) |
\(\chi(n)\) | \(e\left(\frac{5}{6}\right)\) | \(e\left(\frac{27}{40}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | −0.740543 | − | 0.599680i | −0.523643 | − | 0.424038i | 0.330709 | − | 0.943733i | \(-0.392712\pi\) |
−0.854352 | + | 0.519695i | \(0.826046\pi\) | |||||||
\(3\) | 2.48641 | − | 0.327342i | 1.43553 | − | 0.188991i | 0.627721 | − | 0.778438i | \(-0.283988\pi\) |
0.807807 | + | 0.589448i | \(0.200655\pi\) | |||||||
\(4\) | −0.227035 | − | 1.06812i | −0.113518 | − | 0.534059i | ||||
\(5\) | 0.303565 | + | 0.0159092i | 0.135758 | + | 0.00711479i | 0.120094 | − | 0.992763i | \(-0.461680\pi\) |
0.0156643 | + | 0.999877i | \(0.495014\pi\) | |||||||
\(6\) | −2.03759 | − | 1.24864i | −0.831843 | − | 0.509754i | ||||
\(7\) | 2.34417 | − | 1.22673i | 0.886014 | − | 0.463659i | ||||
\(8\) | −1.33762 | + | 2.62522i | −0.472918 | + | 0.928155i | ||||
\(9\) | 3.17729 | − | 0.851352i | 1.05910 | − | 0.283784i | ||||
\(10\) | −0.215262 | − | 0.193823i | −0.0680720 | − | 0.0612923i | ||||
\(11\) | 1.77152 | + | 3.71406i | 0.534133 | + | 1.11983i | 0.974989 | + | 0.222254i | \(0.0713415\pi\) |
−0.440856 | + | 0.897578i | \(0.645325\pi\) | |||||||
\(12\) | −0.914142 | − | 2.58146i | −0.263890 | − | 0.745202i | ||||
\(13\) | −1.04871 | − | 4.36819i | −0.290860 | − | 1.21152i | −0.906061 | − | 0.423148i | \(-0.860925\pi\) |
0.615201 | − | 0.788370i | \(-0.289075\pi\) | |||||||
\(14\) | −2.47160 | − | 0.497309i | −0.660564 | − | 0.132911i | ||||
\(15\) | 0.759994 | − | 0.0598128i | 0.196230 | − | 0.0154436i | ||||
\(16\) | 0.569705 | − | 0.253649i | 0.142426 | − | 0.0634122i | ||||
\(17\) | −7.43153 | − | 2.63164i | −1.80241 | − | 0.638267i | −0.999087 | − | 0.0427252i | \(-0.986396\pi\) |
−0.803324 | − | 0.595542i | \(-0.796937\pi\) | |||||||
\(18\) | −2.86346 | − | 1.27489i | −0.674924 | − | 0.300495i | ||||
\(19\) | 5.48245 | + | 5.20265i | 1.25776 | + | 1.19357i | 0.971925 | + | 0.235291i | \(0.0756043\pi\) |
0.285835 | + | 0.958279i | \(0.407729\pi\) | |||||||
\(20\) | −0.0519271 | − | 0.327855i | −0.0116113 | − | 0.0733106i | ||||
\(21\) | 5.42701 | − | 3.81749i | 1.18427 | − | 0.833044i | ||||
\(22\) | 0.915364 | − | 3.81277i | 0.195156 | − | 0.812885i | ||||
\(23\) | 1.75602 | − | 0.184565i | 0.366154 | − | 0.0384844i | 0.0803352 | − | 0.996768i | \(-0.474401\pi\) |
0.285819 | + | 0.958284i | \(0.407734\pi\) | |||||||
\(24\) | −2.46651 | + | 6.96522i | −0.503475 | + | 1.42177i | ||||
\(25\) | −4.88071 | − | 0.512983i | −0.976142 | − | 0.102597i | ||||
\(26\) | −1.84290 | + | 3.86372i | −0.361423 | + | 0.757738i | ||||
\(27\) | 0.670465 | − | 0.277716i | 0.129031 | − | 0.0534464i | ||||
\(28\) | −1.84250 | − | 2.22534i | −0.348199 | − | 0.420550i | ||||
\(29\) | −0.875587 | + | 1.02518i | −0.162592 | + | 0.190371i | −0.835721 | − | 0.549154i | \(-0.814950\pi\) |
0.673129 | + | 0.739525i | \(0.264950\pi\) | |||||||
\(30\) | −0.598677 | − | 0.411459i | −0.109303 | − | 0.0751218i | ||||
\(31\) | −1.00897 | + | 1.12057i | −0.181216 | + | 0.201260i | −0.826908 | − | 0.562337i | \(-0.809902\pi\) |
0.645692 | + | 0.763598i | \(0.276569\pi\) | |||||||
\(32\) | 5.11791 | + | 1.37134i | 0.904728 | + | 0.242421i | ||||
\(33\) | 5.62048 | + | 8.65478i | 0.978400 | + | 1.50660i | ||||
\(34\) | 3.92523 | + | 6.40539i | 0.673171 | + | 1.09851i | ||||
\(35\) | 0.731125 | − | 0.335097i | 0.123583 | − | 0.0566418i | ||||
\(36\) | −1.63070 | − | 3.20043i | −0.271784 | − | 0.533405i | ||||
\(37\) | −3.36047 | − | 3.73218i | −0.552457 | − | 0.613566i | 0.400638 | − | 0.916236i | \(-0.368789\pi\) |
−0.953095 | + | 0.302670i | \(0.902122\pi\) | |||||||
\(38\) | −0.940065 | − | 7.14050i | −0.152499 | − | 1.15834i | ||||
\(39\) | −4.03741 | − | 10.5178i | −0.646503 | − | 1.68420i | ||||
\(40\) | −0.447818 | + | 0.775644i | −0.0708062 | + | 0.122640i | ||||
\(41\) | 6.39753 | − | 0.267606i | 0.999126 | − | 0.0417931i | ||||
\(42\) | −6.30820 | − | 0.427453i | −0.973377 | − | 0.0659575i | ||||
\(43\) | −0.0608963 | + | 0.384484i | −0.00928660 | + | 0.0586333i | −0.991896 | − | 0.127049i | \(-0.959449\pi\) |
0.982610 | + | 0.185682i | \(0.0594495\pi\) | |||||||
\(44\) | 3.56486 | − | 2.73541i | 0.537423 | − | 0.412379i | ||||
\(45\) | 0.978058 | − | 0.207893i | 0.145800 | − | 0.0309908i | ||||
\(46\) | −1.41108 | − | 0.916369i | −0.208053 | − | 0.135111i | ||||
\(47\) | 2.51251 | − | 1.36418i | 0.366487 | − | 0.198986i | −0.283427 | − | 0.958994i | \(-0.591472\pi\) |
0.649914 | + | 0.760008i | \(0.274805\pi\) | |||||||
\(48\) | 1.33349 | − | 0.817163i | 0.192472 | − | 0.117947i | ||||
\(49\) | 3.99028 | − | 5.75132i | 0.570040 | − | 0.821617i | ||||
\(50\) | 3.30675 | + | 3.30675i | 0.467645 | + | 0.467645i | ||||
\(51\) | −19.3393 | − | 4.11069i | −2.70804 | − | 0.575611i | ||||
\(52\) | −4.42765 | + | 2.11188i | −0.614004 | + | 0.292865i | ||||
\(53\) | −1.67586 | + | 9.04214i | −0.230197 | + | 1.24203i | 0.647219 | + | 0.762304i | \(0.275932\pi\) |
−0.877417 | + | 0.479729i | \(0.840735\pi\) | |||||||
\(54\) | −0.663049 | − | 0.196404i | −0.0902295 | − | 0.0267272i | ||||
\(55\) | 0.478683 | + | 1.15564i | 0.0645456 | + | 0.155827i | ||||
\(56\) | 0.0848247 | + | 7.79485i | 0.0113352 | + | 1.04163i | ||||
\(57\) | 15.3346 | + | 11.1413i | 2.03112 | + | 1.47570i | ||||
\(58\) | 1.26319 | − | 0.234119i | 0.165865 | − | 0.0307413i | ||||
\(59\) | −4.13969 | + | 9.29790i | −0.538942 | + | 1.21048i | 0.414815 | + | 0.909906i | \(0.363846\pi\) |
−0.953757 | + | 0.300578i | \(0.902820\pi\) | |||||||
\(60\) | −0.236433 | − | 0.798183i | −0.0305233 | − | 0.103045i | ||||
\(61\) | −2.64331 | − | 1.01467i | −0.338441 | − | 0.129915i | 0.183211 | − | 0.983074i | \(-0.441351\pi\) |
−0.521652 | + | 0.853158i | \(0.674684\pi\) | |||||||
\(62\) | 1.41917 | − | 0.224774i | 0.180234 | − | 0.0285463i | ||||
\(63\) | 6.40374 | − | 5.89338i | 0.806795 | − | 0.742496i | ||||
\(64\) | −3.70078 | − | 5.09368i | −0.462597 | − | 0.636711i | ||||
\(65\) | −0.248857 | − | 1.34271i | −0.0308669 | − | 0.166543i | ||||
\(66\) | 1.02789 | − | 9.77973i | 0.126525 | − | 1.20380i | ||||
\(67\) | 1.15580 | − | 0.794361i | 0.141204 | − | 0.0970467i | −0.493722 | − | 0.869620i | \(-0.664364\pi\) |
0.634926 | + | 0.772573i | \(0.281031\pi\) | |||||||
\(68\) | −1.12368 | + | 8.53523i | −0.136267 | + | 1.03505i | ||||
\(69\) | 4.30575 | − | 1.03372i | 0.518352 | − | 0.124445i | ||||
\(70\) | −0.742380 | − | 0.190287i | −0.0887314 | − | 0.0227436i | ||||
\(71\) | −0.0506383 | + | 0.643420i | −0.00600966 | + | 0.0763600i | −0.999191 | − | 0.0402216i | \(-0.987194\pi\) |
0.993181 | + | 0.116582i | \(0.0371936\pi\) | |||||||
\(72\) | −2.01501 | + | 9.47986i | −0.237471 | + | 1.11721i | ||||
\(73\) | −2.52256 | + | 9.41434i | −0.295244 | + | 1.10186i | 0.645780 | + | 0.763524i | \(0.276532\pi\) |
−0.941024 | + | 0.338341i | \(0.890134\pi\) | |||||||
\(74\) | 0.250459 | + | 4.77904i | 0.0291153 | + | 0.555552i | ||||
\(75\) | −12.3034 | + | 0.322175i | −1.42067 | + | 0.0372015i | ||||
\(76\) | 4.31233 | − | 7.03709i | 0.494658 | − | 0.807209i | ||||
\(77\) | 8.70888 | + | 6.53323i | 0.992469 | + | 0.744531i | ||||
\(78\) | −3.31745 | + | 10.2100i | −0.375627 | + | 1.15606i | ||||
\(79\) | 8.98122 | + | 11.7046i | 1.01047 | + | 1.31687i | 0.947812 | + | 0.318830i | \(0.103290\pi\) |
0.0626546 | + | 0.998035i | \(0.480043\pi\) | |||||||
\(80\) | 0.176978 | − | 0.0679354i | 0.0197867 | − | 0.00759541i | ||||
\(81\) | −6.96990 | + | 4.02407i | −0.774433 | + | 0.447119i | ||||
\(82\) | −4.89812 | − | 3.63830i | −0.540907 | − | 0.401783i | ||||
\(83\) | 16.3134i | 1.79063i | 0.445434 | + | 0.895315i | \(0.353049\pi\) | ||||
−0.445434 | + | 0.895315i | \(0.646951\pi\) | |||||||
\(84\) | −5.30965 | − | 4.92998i | −0.579330 | − | 0.537905i | ||||
\(85\) | −2.21408 | − | 0.917104i | −0.240151 | − | 0.0994739i | ||||
\(86\) | 0.275664 | − | 0.248209i | 0.0297256 | − | 0.0267650i | ||||
\(87\) | −1.84148 | + | 2.83563i | −0.197428 | + | 0.304012i | ||||
\(88\) | −12.1198 | − | 0.317369i | −1.29198 | − | 0.0338316i | ||||
\(89\) | −0.356627 | − | 13.6190i | −0.0378024 | − | 1.44361i | −0.710500 | − | 0.703697i | \(-0.751531\pi\) |
0.672697 | − | 0.739918i | \(-0.265136\pi\) | |||||||
\(90\) | −0.848963 | − | 0.432568i | −0.0894886 | − | 0.0455967i | ||||
\(91\) | −7.81693 | − | 8.95331i | −0.819437 | − | 0.938562i | ||||
\(92\) | −0.595814 | − | 1.83373i | −0.0621179 | − | 0.191179i | ||||
\(93\) | −2.14189 | + | 3.11647i | −0.222104 | + | 0.323163i | ||||
\(94\) | −2.67869 | − | 0.496466i | −0.276286 | − | 0.0512065i | ||||
\(95\) | 1.58151 | + | 1.66656i | 0.162259 | + | 0.170986i | ||||
\(96\) | 13.1741 | + | 1.73440i | 1.34458 | + | 0.177017i | ||||
\(97\) | −0.866770 | − | 11.0134i | −0.0880071 | − | 1.11824i | −0.869371 | − | 0.494160i | \(-0.835476\pi\) |
0.781364 | − | 0.624076i | \(-0.214524\pi\) | |||||||
\(98\) | −6.40393 | + | 1.86620i | −0.646894 | + | 0.188515i | ||||
\(99\) | 8.79060 | + | 10.2925i | 0.883488 | + | 1.03443i | ||||
\(100\) | 0.560168 | + | 5.32964i | 0.0560168 | + | 0.532964i | ||||
\(101\) | 3.54242 | − | 1.04931i | 0.352484 | − | 0.104411i | −0.102934 | − | 0.994688i | \(-0.532823\pi\) |
0.455418 | + | 0.890278i | \(0.349490\pi\) | |||||||
\(102\) | 11.8565 | + | 14.6415i | 1.17396 | + | 1.44972i | ||||
\(103\) | 3.65834 | − | 9.53029i | 0.360466 | − | 0.939047i | −0.626687 | − | 0.779271i | \(-0.715589\pi\) |
0.987153 | − | 0.159776i | \(-0.0510772\pi\) | |||||||
\(104\) | 12.8702 | + | 3.08987i | 1.26203 | + | 0.302986i | ||||
\(105\) | 1.70818 | − | 1.07252i | 0.166701 | − | 0.104667i | ||||
\(106\) | 6.66343 | − | 5.69111i | 0.647210 | − | 0.552770i | ||||
\(107\) | −2.40414 | − | 5.39979i | −0.232417 | − | 0.522018i | 0.759257 | − | 0.650791i | \(-0.225563\pi\) |
−0.991674 | + | 0.128774i | \(0.958896\pi\) | |||||||
\(108\) | −0.448852 | − | 0.653084i | −0.0431908 | − | 0.0628430i | ||||
\(109\) | −7.92981 | + | 10.3343i | −0.759538 | + | 0.989849i | 0.240279 | + | 0.970704i | \(0.422761\pi\) |
−0.999817 | + | 0.0191449i | \(0.993906\pi\) | |||||||
\(110\) | 0.338530 | − | 1.14286i | 0.0322776 | − | 0.108967i | ||||
\(111\) | −9.57719 | − | 8.17969i | −0.909026 | − | 0.776382i | ||||
\(112\) | 1.02433 | − | 1.29347i | 0.0967899 | − | 0.122221i | ||||
\(113\) | −0.356733 | + | 0.115910i | −0.0335586 | + | 0.0109039i | −0.325748 | − | 0.945457i | \(-0.605616\pi\) |
0.292190 | + | 0.956360i | \(0.405616\pi\) | |||||||
\(114\) | −4.67477 | − | 17.4465i | −0.437832 | − | 1.63401i | ||||
\(115\) | 0.536001 | − | 0.0280906i | 0.0499823 | − | 0.00261946i | ||||
\(116\) | 1.29380 | + | 0.702478i | 0.120127 | + | 0.0652234i | ||||
\(117\) | −7.05092 | − | 12.9862i | −0.651858 | − | 1.20057i | ||||
\(118\) | 8.64139 | − | 4.40301i | 0.795504 | − | 0.405330i | ||||
\(119\) | −20.6491 | + | 2.94743i | −1.89290 | + | 0.270191i | ||||
\(120\) | −0.859557 | + | 2.07516i | −0.0784665 | + | 0.189435i | ||||
\(121\) | −3.73347 | + | 4.61045i | −0.339406 | + | 0.419132i | ||||
\(122\) | 1.34901 | + | 2.33655i | 0.122133 | + | 0.211541i | ||||
\(123\) | 15.8193 | − | 2.75956i | 1.42638 | − | 0.248821i | ||||
\(124\) | 1.42597 | + | 0.823285i | 0.128056 | + | 0.0739331i | ||||
\(125\) | −2.97465 | − | 0.471138i | −0.266060 | − | 0.0421398i | ||||
\(126\) | −8.27639 | + | 0.524111i | −0.737319 | + | 0.0466915i | ||||
\(127\) | −0.528442 | − | 0.171701i | −0.0468917 | − | 0.0152360i | 0.285477 | − | 0.958385i | \(-0.407848\pi\) |
−0.332369 | + | 0.943149i | \(0.607848\pi\) | |||||||
\(128\) | 0.240605 | − | 4.59101i | 0.0212666 | − | 0.405792i | ||||
\(129\) | −0.0255553 | + | 0.975918i | −0.00225002 | + | 0.0859248i | ||||
\(130\) | −0.620909 | + | 1.14357i | −0.0544573 | + | 0.100298i | ||||
\(131\) | 7.02099 | − | 4.55949i | 0.613427 | − | 0.398364i | −0.200197 | − | 0.979756i | \(-0.564158\pi\) |
0.813624 | + | 0.581392i | \(0.197492\pi\) | |||||||
\(132\) | 7.96828 | − | 7.96828i | 0.693549 | − | 0.693549i | ||||
\(133\) | 19.2340 | + | 5.47044i | 1.66780 | + | 0.474347i | ||||
\(134\) | −1.33228 | − | 0.104853i | −0.115092 | − | 0.00905792i | ||||
\(135\) | 0.207948 | − | 0.0736382i | 0.0178973 | − | 0.00633777i | ||||
\(136\) | 16.8492 | − | 15.9893i | 1.44480 | − | 1.37107i | ||||
\(137\) | −14.3495 | − | 11.0107i | −1.22596 | − | 0.940712i | −0.226514 | − | 0.974008i | \(-0.572733\pi\) |
−0.999446 | + | 0.0332963i | \(0.989400\pi\) | |||||||
\(138\) | −3.80850 | − | 1.81656i | −0.324201 | − | 0.154636i | ||||
\(139\) | 0.847689 | − | 1.16674i | 0.0719000 | − | 0.0989619i | −0.771552 | − | 0.636166i | \(-0.780519\pi\) |
0.843452 | + | 0.537204i | \(0.180519\pi\) | |||||||
\(140\) | −0.523915 | − | 0.704848i | −0.0442789 | − | 0.0595705i | ||||
\(141\) | 5.80056 | − | 4.21435i | 0.488495 | − | 0.354913i | ||||
\(142\) | 0.423346 | − | 0.446114i | 0.0355264 | − | 0.0374370i | ||||
\(143\) | 14.3659 | − | 11.6333i | 1.20134 | − | 0.972825i | ||||
\(144\) | 1.59417 | − | 1.29094i | 0.132848 | − | 0.107578i | ||||
\(145\) | −0.282107 | + | 0.297279i | −0.0234277 | + | 0.0246877i | ||||
\(146\) | 7.51366 | − | 5.45899i | 0.621835 | − | 0.451789i | ||||
\(147\) | 8.03882 | − | 15.6063i | 0.663031 | − | 1.28719i | ||||
\(148\) | −3.22346 | + | 4.43671i | −0.264967 | + | 0.364695i | ||||
\(149\) | −9.37966 | − | 4.47387i | −0.768411 | − | 0.366513i | 0.00535402 | − | 0.999986i | \(-0.498296\pi\) |
−0.773765 | + | 0.633472i | \(0.781629\pi\) | |||||||
\(150\) | 9.30437 | + | 7.13949i | 0.759698 | + | 0.582937i | ||||
\(151\) | 10.8108 | − | 10.2590i | 0.879769 | − | 0.834869i | −0.107455 | − | 0.994210i | \(-0.534270\pi\) |
0.987224 | + | 0.159341i | \(0.0509368\pi\) | |||||||
\(152\) | −20.9915 | + | 7.43348i | −1.70263 | + | 0.602935i | ||||
\(153\) | −25.8526 | − | 2.03464i | −2.09006 | − | 0.164491i | ||||
\(154\) | −2.53145 | − | 10.0607i | −0.203990 | − | 0.810713i | ||||
\(155\) | −0.324114 | + | 0.324114i | −0.0260334 | + | 0.0260334i | ||||
\(156\) | −10.3176 | + | 6.70034i | −0.826071 | + | 0.536457i | ||||
\(157\) | 6.69210 | − | 12.3253i | 0.534088 | − | 0.983667i | −0.461255 | − | 0.887267i | \(-0.652601\pi\) |
0.995343 | − | 0.0963993i | \(-0.0307326\pi\) | |||||||
\(158\) | 0.368006 | − | 14.0536i | 0.0292770 | − | 1.11804i | ||||
\(159\) | −1.20700 | + | 23.0310i | −0.0957216 | + | 1.82648i | ||||
\(160\) | 1.53180 | + | 0.497713i | 0.121100 | + | 0.0393476i | ||||
\(161\) | 3.88999 | − | 2.58680i | 0.306574 | − | 0.203869i | ||||
\(162\) | 7.57467 | + | 1.19971i | 0.595122 | + | 0.0942581i | ||||
\(163\) | −13.4442 | − | 7.76201i | −1.05303 | − | 0.607968i | −0.129534 | − | 0.991575i | \(-0.541348\pi\) |
−0.923496 | + | 0.383607i | \(0.874682\pi\) | |||||||
\(164\) | −1.73830 | − | 6.77256i | −0.135738 | − | 0.528848i | ||||
\(165\) | 1.56849 | + | 2.71671i | 0.122107 | + | 0.211495i | ||||
\(166\) | 9.78282 | − | 12.0808i | 0.759294 | − | 0.937650i | ||||
\(167\) | 4.47317 | − | 10.7992i | 0.346144 | − | 0.835666i | −0.650924 | − | 0.759143i | \(-0.725618\pi\) |
0.997068 | − | 0.0765229i | \(-0.0243818\pi\) | |||||||
\(168\) | 2.76249 | + | 19.3534i | 0.213131 | + | 1.49315i | ||||
\(169\) | −6.39821 | + | 3.26005i | −0.492170 | + | 0.250773i | ||||
\(170\) | 1.08966 | + | 2.00690i | 0.0835728 | + | 0.153922i | ||||
\(171\) | 21.8486 | + | 11.8628i | 1.67081 | + | 0.907173i | ||||
\(172\) | 0.424500 | − | 0.0222471i | 0.0323678 | − | 0.00169632i | ||||
\(173\) | 2.17811 | + | 8.12880i | 0.165598 | + | 0.618021i | 0.997963 | + | 0.0637932i | \(0.0203198\pi\) |
−0.832365 | + | 0.554228i | \(0.813014\pi\) | |||||||
\(174\) | 3.06417 | − | 0.995609i | 0.232294 | − | 0.0754769i | ||||
\(175\) | −12.0705 | + | 4.78478i | −0.912445 | + | 0.361695i | ||||
\(176\) | 1.95131 | + | 1.66658i | 0.147086 | + | 0.125623i | ||||
\(177\) | −7.24937 | + | 24.4735i | −0.544896 | + | 1.83954i | ||||
\(178\) | −7.90296 | + | 10.2993i | −0.592352 | + | 0.771969i | ||||
\(179\) | −3.74045 | − | 5.44239i | −0.279575 | − | 0.406784i | 0.658846 | − | 0.752278i | \(-0.271045\pi\) |
−0.938421 | + | 0.345494i | \(0.887711\pi\) | |||||||
\(180\) | −0.444108 | − | 0.997482i | −0.0331018 | − | 0.0743479i | ||||
\(181\) | 13.1376 | − | 11.2206i | 0.976509 | − | 0.834017i | −0.00962760 | − | 0.999954i | \(-0.503065\pi\) |
0.986136 | + | 0.165936i | \(0.0530646\pi\) | |||||||
\(182\) | 0.419655 | + | 11.3180i | 0.0311069 | + | 0.838943i | ||||
\(183\) | −6.90449 | − | 1.65762i | −0.510395 | − | 0.122535i | ||||
\(184\) | −1.86435 | + | 4.85680i | −0.137442 | + | 0.358048i | ||||
\(185\) | −0.960744 | − | 1.18642i | −0.0706353 | − | 0.0872273i | ||||
\(186\) | 3.45504 | − | 1.02343i | 0.253336 | − | 0.0750416i | ||||
\(187\) | −3.39100 | − | 32.2632i | −0.247974 | − | 2.35932i | ||||
\(188\) | −2.02753 | − | 2.37393i | −0.147873 | − | 0.173137i | ||||
\(189\) | 1.23100 | − | 1.47349i | 0.0895423 | − | 0.107181i | ||||
\(190\) | −0.171771 | − | 2.18256i | −0.0124616 | − | 0.158340i | ||||
\(191\) | 6.74999 | + | 0.888653i | 0.488412 | + | 0.0643006i | 0.370711 | − | 0.928748i | \(-0.379114\pi\) |
0.117701 | + | 0.993049i | \(0.462447\pi\) | |||||||
\(192\) | −10.8690 | − | 11.4536i | −0.784404 | − | 0.826589i | ||||
\(193\) | −2.36679 | − | 0.438658i | −0.170365 | − | 0.0315753i | 0.0963678 | − | 0.995346i | \(-0.469277\pi\) |
−0.266733 | + | 0.963770i | \(0.585944\pi\) | |||||||
\(194\) | −5.96261 | + | 8.67565i | −0.428090 | + | 0.622875i | ||||
\(195\) | −1.05829 | − | 3.25707i | −0.0757855 | − | 0.233244i | ||||
\(196\) | −7.04902 | − | 2.95634i | −0.503501 | − | 0.211167i | ||||
\(197\) | 11.7020 | + | 5.96246i | 0.833732 | + | 0.424807i | 0.818104 | − | 0.575070i | \(-0.195025\pi\) |
0.0156277 | + | 0.999878i | \(0.495025\pi\) | |||||||
\(198\) | −0.337630 | − | 12.8936i | −0.0239943 | − | 0.916306i | ||||
\(199\) | −8.61480 | − | 0.225587i | −0.610687 | − | 0.0159914i | −0.280418 | − | 0.959878i | \(-0.590473\pi\) |
−0.330269 | + | 0.943887i | \(0.607140\pi\) | |||||||
\(200\) | 7.87521 | − | 12.1268i | 0.556861 | − | 0.857491i | ||||
\(201\) | 2.61377 | − | 2.35345i | 0.184361 | − | 0.165999i | ||||
\(202\) | −3.25257 | − | 1.34726i | −0.228850 | − | 0.0947927i | ||||
\(203\) | −0.794910 | + | 3.47731i | −0.0557918 | + | 0.244059i | ||||
\(204\) | 21.5899i | 1.51159i | ||||||||
\(205\) | 1.94632 | + | 0.0205435i | 0.135937 | + | 0.00143482i | ||||
\(206\) | −8.42428 | + | 4.86376i | −0.586947 | + | 0.338874i | ||||
\(207\) | 5.42224 | − | 2.08140i | 0.376872 | − | 0.144667i | ||||
\(208\) | −1.70544 | − | 2.22258i | −0.118251 | − | 0.154108i | ||||
\(209\) | −9.61072 | + | 29.5787i | −0.664787 | + | 2.04600i | ||||
\(210\) | −1.90815 | − | 0.230118i | −0.131675 | − | 0.0158797i | ||||
\(211\) | −9.14730 | + | 14.9270i | −0.629726 | + | 1.02762i | 0.365574 | + | 0.930782i | \(0.380873\pi\) |
−0.995300 | + | 0.0968374i | \(0.969127\pi\) | |||||||
\(212\) | 10.0385 | − | 0.262869i | 0.689450 | − | 0.0180539i | ||||
\(213\) | 0.0847109 | + | 1.61638i | 0.00580430 | + | 0.110753i | ||||
\(214\) | −1.45778 | + | 5.44049i | −0.0996515 | + | 0.371905i | ||||
\(215\) | −0.0246028 | + | 0.115747i | −0.00167790 | + | 0.00789388i | ||||
\(216\) | −0.167760 | + | 2.13159i | −0.0114146 | + | 0.145036i | ||||
\(217\) | −0.990556 | + | 3.86453i | −0.0672433 | + | 0.262342i | ||||
\(218\) | 12.0697 | − | 2.89767i | 0.817460 | − | 0.196255i | ||||
\(219\) | −3.19042 | + | 24.2336i | −0.215588 | + | 1.63756i | ||||
\(220\) | 1.12568 | − | 0.773661i | 0.0758936 | − | 0.0521602i | ||||
\(221\) | −3.70200 | + | 35.2222i | −0.249023 | + | 2.36930i | ||||
\(222\) | 2.18712 | + | 11.8007i | 0.146790 | + | 0.792008i | ||||
\(223\) | −4.74699 | − | 6.53366i | −0.317882 | − | 0.437527i | 0.619937 | − | 0.784651i | \(-0.287158\pi\) |
−0.937819 | + | 0.347125i | \(0.887158\pi\) | |||||||
\(224\) | 13.6795 | − | 3.06362i | 0.914002 | − | 0.204697i | ||||
\(225\) | −15.9442 | + | 2.52531i | −1.06294 | + | 0.168354i | ||||
\(226\) | 0.333685 | + | 0.128090i | 0.0221964 | + | 0.00852039i | ||||
\(227\) | −1.48354 | − | 5.00836i | −0.0984662 | − | 0.332416i | 0.895071 | − | 0.445924i | \(-0.147125\pi\) |
−0.993537 | + | 0.113507i | \(0.963791\pi\) | |||||||
\(228\) | 8.41868 | − | 18.9087i | 0.557541 | − | 1.25226i | ||||
\(229\) | 20.0098 | − | 3.70860i | 1.32229 | − | 0.245071i | 0.526256 | − | 0.850326i | \(-0.323595\pi\) |
0.796032 | + | 0.605255i | \(0.206929\pi\) | |||||||
\(230\) | −0.413777 | − | 0.300627i | −0.0272837 | − | 0.0198227i | ||||
\(231\) | 23.7924 | + | 13.3935i | 1.56543 | + | 0.881228i | ||||
\(232\) | −1.52012 | − | 3.66990i | −0.0998011 | − | 0.240941i | ||||
\(233\) | −10.2783 | − | 3.04456i | −0.673351 | − | 0.199456i | −0.0707451 | − | 0.997494i | \(-0.522538\pi\) |
−0.602606 | + | 0.798039i | \(0.705871\pi\) | |||||||
\(234\) | −2.56604 | + | 13.8451i | −0.167747 | + | 0.905084i | ||||
\(235\) | 0.784412 | − | 0.374145i | 0.0511694 | − | 0.0244065i | ||||
\(236\) | 10.8711 | + | 2.31073i | 0.707649 | + | 0.150415i | ||||
\(237\) | 26.1624 | + | 26.1624i | 1.69943 | + | 1.69943i | ||||
\(238\) | 17.0591 | + | 10.2001i | 1.10577 | + | 0.661177i | ||||
\(239\) | −13.2561 | + | 8.12336i | −0.857467 | + | 0.525456i | −0.880373 | − | 0.474281i | \(-0.842708\pi\) |
0.0229067 | + | 0.999738i | \(0.492708\pi\) | |||||||
\(240\) | 0.417801 | − | 0.226847i | 0.0269689 | − | 0.0146429i | ||||
\(241\) | −17.0076 | − | 11.0449i | −1.09556 | − | 0.711463i | −0.135362 | − | 0.990796i | \(-0.543220\pi\) |
−0.960194 | + | 0.279333i | \(0.909887\pi\) | |||||||
\(242\) | 5.52959 | − | 1.17535i | 0.355455 | − | 0.0755543i | ||||
\(243\) | −17.7400 | + | 13.6124i | −1.13802 | + | 0.873234i | ||||
\(244\) | −0.483664 | + | 3.05373i | −0.0309634 | + | 0.195495i | ||||
\(245\) | 1.30281 | − | 1.68242i | 0.0832334 | − | 0.107486i | ||||
\(246\) | −13.3697 | − | 7.44292i | −0.852421 | − | 0.474544i | ||||
\(247\) | 16.9767 | − | 29.4044i | 1.08020 | − | 1.87096i | ||||
\(248\) | −1.59213 | − | 4.14764i | −0.101100 | − | 0.263376i | ||||
\(249\) | 5.34006 | + | 40.5618i | 0.338412 | + | 2.57050i | ||||
\(250\) | 1.92032 | + | 2.13273i | 0.121452 | + | 0.134886i | ||||
\(251\) | −1.70246 | − | 3.34127i | −0.107459 | − | 0.210899i | 0.831015 | − | 0.556250i | \(-0.187760\pi\) |
−0.938474 | + | 0.345350i | \(0.887760\pi\) | |||||||
\(252\) | −7.74870 | − | 5.50194i | −0.488122 | − | 0.346589i | ||||
\(253\) | 3.79630 | + | 6.19499i | 0.238671 | + | 0.389476i | ||||
\(254\) | 0.288368 | + | 0.444048i | 0.0180938 | + | 0.0278621i | ||||
\(255\) | −5.80532 | − | 1.55553i | −0.363543 | − | 0.0974112i | ||||
\(256\) | −11.3572 | + | 12.6134i | −0.709825 | + | 0.788340i | ||||
\(257\) | −1.49963 | − | 1.03067i | −0.0935446 | − | 0.0642914i | 0.518721 | − | 0.854944i | \(-0.326408\pi\) |
−0.612266 | + | 0.790652i | \(0.709742\pi\) | |||||||
\(258\) | 0.604163 | − | 0.707384i | 0.0376135 | − | 0.0440398i | ||||
\(259\) | −12.4559 | − | 4.62649i | −0.773970 | − | 0.287476i | ||||
\(260\) | −1.37768 | + | 0.570652i | −0.0854399 | + | 0.0353904i | ||||
\(261\) | −1.90920 | + | 4.00273i | −0.118177 | + | 0.247763i | ||||
\(262\) | −7.93358 | − | 0.833853i | −0.490138 | − | 0.0515156i | ||||
\(263\) | 5.18322 | − | 14.6370i | 0.319611 | − | 0.902553i | −0.667795 | − | 0.744345i | \(-0.732762\pi\) |
0.987406 | − | 0.158208i | \(-0.0505717\pi\) | |||||||
\(264\) | −30.2387 | + | 3.17822i | −1.86106 | + | 0.195606i | ||||
\(265\) | −0.652585 | + | 2.71821i | −0.0400880 | + | 0.166979i | ||||
\(266\) | −10.9631 | − | 15.5854i | −0.672192 | − | 0.955600i | ||||
\(267\) | −5.34480 | − | 33.7457i | −0.327096 | − | 2.06520i | ||||
\(268\) | −1.11088 | − | 1.05419i | −0.0678577 | − | 0.0643946i | ||||
\(269\) | −3.26783 | − | 1.45493i | −0.199243 | − | 0.0887087i | 0.304690 | − | 0.952452i | \(-0.401447\pi\) |
−0.503932 | + | 0.863743i | \(0.668114\pi\) | |||||||
\(270\) | −0.198154 | − | 0.0701699i | −0.0120592 | − | 0.00427040i | ||||
\(271\) | 20.8940 | − | 9.30263i | 1.26922 | − | 0.565094i | 0.342034 | − | 0.939688i | \(-0.388884\pi\) |
0.927189 | + | 0.374593i | \(0.122218\pi\) | |||||||
\(272\) | −4.90129 | + | 0.385740i | −0.297185 | + | 0.0233889i | ||||
\(273\) | −22.3669 | − | 19.7028i | −1.35370 | − | 1.19247i | ||||
\(274\) | 4.02349 | + | 16.7590i | 0.243068 | + | 1.01245i | ||||
\(275\) | −6.74101 | − | 19.0360i | −0.406498 | − | 1.14792i | ||||
\(276\) | −2.08169 | − | 4.36436i | −0.125303 | − | 0.262704i | ||||
\(277\) | −13.9314 | − | 12.5439i | −0.837059 | − | 0.753691i | 0.134393 | − | 0.990928i | \(-0.457092\pi\) |
−0.971452 | + | 0.237237i | \(0.923758\pi\) | |||||||
\(278\) | −1.32742 | + | 0.355682i | −0.0796135 | + | 0.0213324i | ||||
\(279\) | −2.25178 | + | 4.41936i | −0.134810 | + | 0.264580i | ||||
\(280\) | −0.0982597 | + | 2.36759i | −0.00587214 | + | 0.141491i | ||||
\(281\) | −10.4716 | − | 6.41698i | −0.624681 | − | 0.382805i | 0.173838 | − | 0.984774i | \(-0.444383\pi\) |
−0.798519 | + | 0.601969i | \(0.794383\pi\) | |||||||
\(282\) | −6.82283 | − | 0.357569i | −0.406293 | − | 0.0212929i | ||||
\(283\) | 2.31700 | + | 10.9006i | 0.137731 | + | 0.647976i | 0.991798 | + | 0.127812i | \(0.0407955\pi\) |
−0.854067 | + | 0.520163i | \(0.825871\pi\) | |||||||
\(284\) | 0.698745 | − | 0.0919916i | 0.0414629 | − | 0.00545870i | ||||
\(285\) | 4.47781 | + | 3.62606i | 0.265243 | + | 0.214789i | ||||
\(286\) | −17.6148 | −1.04159 | ||||||||
\(287\) | 14.6686 | − | 8.47534i | 0.865862 | − | 0.500283i | ||||
\(288\) | 17.4286 | 1.02699 | ||||||||
\(289\) | 35.0906 | + | 28.4158i | 2.06415 | + | 1.67152i | ||||
\(290\) | 0.387185 | − | 0.0509739i | 0.0227363 | − | 0.00299329i | ||||
\(291\) | −5.76027 | − | 27.0999i | −0.337673 | − | 1.58863i | ||||
\(292\) | 10.6283 | + | 0.557007i | 0.621976 | + | 0.0325964i | ||||
\(293\) | −1.24067 | − | 0.760286i | −0.0724809 | − | 0.0444164i | 0.485786 | − | 0.874078i | \(-0.338533\pi\) |
−0.558267 | + | 0.829661i | \(0.688533\pi\) | |||||||
\(294\) | −15.3119 | + | 6.73642i | −0.893007 | + | 0.392876i | ||||
\(295\) | −1.40459 | + | 2.75666i | −0.0817783 | + | 0.160499i | ||||
\(296\) | 14.2928 | − | 3.82974i | 0.830751 | − | 0.222599i | ||||
\(297\) | 2.21919 | + | 1.99817i | 0.128771 | + | 0.115946i | ||||
\(298\) | 4.26315 | + | 8.93788i | 0.246958 | + | 0.517758i | ||||
\(299\) | −2.64776 | − | 7.47705i | −0.153124 | − | 0.432409i | ||||
\(300\) | 3.13742 | + | 13.0683i | 0.181139 | + | 0.754498i | ||||
\(301\) | 0.328905 | + | 0.976000i | 0.0189578 | + | 0.0562557i | ||||
\(302\) | −14.1580 | + | 1.11426i | −0.814701 | + | 0.0641184i | ||||
\(303\) | 8.46441 | − | 3.76860i | 0.486268 | − | 0.216500i | ||||
\(304\) | 4.44303 | + | 1.57336i | 0.254825 | + | 0.0902383i | ||||
\(305\) | −0.786274 | − | 0.350072i | −0.0450219 | − | 0.0200451i | ||||
\(306\) | 17.9248 | + | 17.0100i | 1.02469 | + | 0.972398i | ||||
\(307\) | 4.28350 | + | 27.0449i | 0.244472 | + | 1.54354i | 0.738598 | + | 0.674146i | \(0.235488\pi\) |
−0.494126 | + | 0.869390i | \(0.664512\pi\) | |||||||
\(308\) | 5.00104 | − | 10.7854i | 0.284961 | − | 0.614554i | ||||
\(309\) | 5.97645 | − | 24.8937i | 0.339988 | − | 1.41615i | ||||
\(310\) | 0.434385 | − | 0.0456557i | 0.0246714 | − | 0.00259307i | ||||
\(311\) | 0.812453 | − | 2.29430i | 0.0460700 | − | 0.130098i | −0.917359 | − | 0.398060i | \(-0.869684\pi\) |
0.963429 | + | 0.267962i | \(0.0863503\pi\) | |||||||
\(312\) | 33.0120 | + | 3.46971i | 1.86894 | + | 0.196433i | ||||
\(313\) | 0.363949 | − | 0.763036i | 0.0205716 | − | 0.0431293i | −0.892042 | − | 0.451953i | \(-0.850728\pi\) |
0.912613 | + | 0.408824i | \(0.134061\pi\) | |||||||
\(314\) | −12.3470 | + | 5.11431i | −0.696783 | + | 0.288617i | ||||
\(315\) | 2.03771 | − | 1.68715i | 0.114812 | − | 0.0950599i | ||||
\(316\) | 10.4628 | − | 12.2504i | 0.588578 | − | 0.689136i | ||||
\(317\) | −1.54548 | − | 1.06218i | −0.0868030 | − | 0.0596581i | 0.522219 | − | 0.852812i | \(-0.325104\pi\) |
−0.609022 | + | 0.793154i | \(0.708438\pi\) | |||||||
\(318\) | 14.7051 | − | 16.3316i | 0.824619 | − | 0.915833i | ||||
\(319\) | −5.35871 | − | 1.43586i | −0.300030 | − | 0.0803928i | ||||
\(320\) | −1.04239 | − | 1.60514i | −0.0582714 | − | 0.0897301i | ||||
\(321\) | −7.74525 | − | 12.6391i | −0.432298 | − | 0.705446i | ||||
\(322\) | −4.43196 | − | 0.417111i | −0.246983 | − | 0.0232447i | ||||
\(323\) | −27.0515 | − | 53.0915i | −1.50518 | − | 2.95409i | ||||
\(324\) | 5.88060 | + | 6.53107i | 0.326700 | + | 0.362837i | ||||
\(325\) | 2.87764 | + | 21.8578i | 0.159623 | + | 1.21246i | ||||
\(326\) | 5.30128 | + | 13.8103i | 0.293611 | + | 0.764883i | ||||
\(327\) | −16.3339 | + | 28.2911i | −0.903265 | + | 1.56450i | ||||
\(328\) | −7.85491 | + | 17.1529i | −0.433715 | + | 0.947108i | ||||
\(329\) | 4.21627 | − | 6.28003i | 0.232450 | − | 0.346229i | ||||
\(330\) | 0.467619 | − | 2.95243i | 0.0257416 | − | 0.162526i | ||||
\(331\) | −1.79624 | + | 1.37830i | −0.0987304 | + | 0.0757585i | −0.656947 | − | 0.753937i | \(-0.728152\pi\) |
0.558217 | + | 0.829695i | \(0.311486\pi\) | |||||||
\(332\) | 17.4246 | − | 3.70372i | 0.956301 | − | 0.203268i | ||||
\(333\) | −13.8546 | − | 8.99727i | −0.759226 | − | 0.493047i | ||||
\(334\) | −9.78863 | + | 5.31479i | −0.535610 | + | 0.290813i | ||||
\(335\) | 0.363499 | − | 0.222752i | 0.0198601 | − | 0.0121703i | ||||
\(336\) | 2.12349 | − | 3.55140i | 0.115846 | − | 0.193745i | ||||
\(337\) | 0.808541 | + | 0.808541i | 0.0440440 | + | 0.0440440i | 0.728786 | − | 0.684742i | \(-0.240085\pi\) |
−0.684742 | + | 0.728786i | \(0.740085\pi\) | |||||||
\(338\) | 6.69313 | + | 1.42267i | 0.364059 | + | 0.0773830i | ||||
\(339\) | −0.849041 | + | 0.404972i | −0.0461136 | + | 0.0219951i | ||||
\(340\) | −0.476899 | + | 2.57312i | −0.0258635 | + | 0.139547i | ||||
\(341\) | −5.94927 | − | 1.76225i | −0.322171 | − | 0.0954313i | ||||
\(342\) | −9.06594 | − | 21.8871i | −0.490230 | − | 1.18352i | ||||
\(343\) | 2.29862 | − | 18.3771i | 0.124114 | − | 0.992268i | ||||
\(344\) | −0.927898 | − | 0.674158i | −0.0500289 | − | 0.0363481i | ||||
\(345\) | 1.32352 | − | 0.245300i | 0.0712560 | − | 0.0132065i | ||||
\(346\) | 3.26170 | − | 7.32589i | 0.175350 | − | 0.393842i | ||||
\(347\) | −0.858278 | − | 2.89750i | −0.0460748 | − | 0.155546i | 0.932623 | − | 0.360852i | \(-0.117514\pi\) |
−0.978698 | + | 0.205307i | \(0.934181\pi\) | |||||||
\(348\) | 3.44687 | + | 1.32313i | 0.184772 | + | 0.0709272i | ||||
\(349\) | 19.3951 | − | 3.07188i | 1.03820 | − | 0.164434i | 0.386012 | − | 0.922494i | \(-0.373852\pi\) |
0.652185 | + | 0.758060i | \(0.273852\pi\) | |||||||
\(350\) | 11.8081 | + | 3.69511i | 0.631168 | + | 0.197512i | ||||
\(351\) | −1.91624 | − | 2.63747i | −0.102281 | − | 0.140778i | ||||
\(352\) | 3.97322 | + | 21.4376i | 0.211774 | + | 1.14263i | ||||
\(353\) | 1.60157 | − | 15.2379i | 0.0852431 | − | 0.811034i | −0.865470 | − | 0.500961i | \(-0.832980\pi\) |
0.950713 | − | 0.310073i | \(-0.100353\pi\) | |||||||
\(354\) | 20.0447 | − | 13.7764i | 1.06536 | − | 0.732205i | ||||
\(355\) | −0.0256083 | + | 0.194514i | −0.00135915 | + | 0.0103237i | ||||
\(356\) | −14.4658 | + | 3.47292i | −0.766684 | + | 0.184065i | ||||
\(357\) | −50.3772 | + | 14.0878i | −2.66625 | + | 0.745607i | ||||
\(358\) | −0.493727 | + | 6.27340i | −0.0260943 | + | 0.331560i | ||||
\(359\) | −4.64446 | + | 21.8505i | −0.245125 | + | 1.15322i | 0.667559 | + | 0.744557i | \(0.267339\pi\) |
−0.912684 | + | 0.408666i | \(0.865994\pi\) | |||||||
\(360\) | −0.762502 | + | 2.84570i | −0.0401874 | + | 0.149981i | ||||
\(361\) | 1.99530 | + | 38.0726i | 0.105016 | + | 2.00382i | ||||
\(362\) | −16.4577 | + | 0.430960i | −0.864997 | + | 0.0226507i | ||||
\(363\) | −7.77373 | + | 12.6856i | −0.408015 | + | 0.665820i | ||||
\(364\) | −7.78847 | + | 10.3821i | −0.408227 | + | 0.544171i | ||||
\(365\) | −0.915536 | + | 2.81773i | −0.0479214 | + | 0.147487i | ||||
\(366\) | 4.11903 | + | 5.36803i | 0.215305 | + | 0.280591i | ||||
\(367\) | −12.2501 | + | 4.70238i | −0.639450 | + | 0.245462i | −0.656422 | − | 0.754394i | \(-0.727931\pi\) |
0.0169715 | + | 0.999856i | \(0.494598\pi\) | |||||||
\(368\) | 0.953596 | − | 0.550559i | 0.0497096 | − | 0.0286999i | ||||
\(369\) | 20.0990 | − | 6.29681i | 1.04631 | − | 0.327799i | ||||
\(370\) | 1.45473i | 0.0756280i | ||||||||
\(371\) | 7.16372 | + | 23.2521i | 0.371922 | + | 1.20719i | ||||
\(372\) | 3.81504 | + | 1.58024i | 0.197801 | + | 0.0819317i | ||||
\(373\) | −5.80077 | + | 5.22304i | −0.300353 | + | 0.270439i | −0.805502 | − | 0.592593i | \(-0.798104\pi\) |
0.505149 | + | 0.863032i | \(0.331437\pi\) | |||||||
\(374\) | −16.8364 | + | 25.9258i | −0.870590 | + | 1.34059i | ||||
\(375\) | −7.55040 | − | 0.197714i | −0.389901 | − | 0.0102099i | ||||
\(376\) | 0.220502 | + | 8.42062i | 0.0113715 | + | 0.434260i | ||||
\(377\) | 5.39642 | + | 2.74961i | 0.277930 | + | 0.141612i | ||||
\(378\) | −1.79523 | + | 0.352975i | −0.0923369 | + | 0.0181551i | ||||
\(379\) | −3.51351 | − | 10.8135i | −0.180477 | − | 0.555451i | 0.819364 | − | 0.573273i | \(-0.194327\pi\) |
−0.999841 | + | 0.0178221i | \(0.994327\pi\) | |||||||
\(380\) | 1.42103 | − | 2.06761i | 0.0728971 | − | 0.106066i | ||||
\(381\) | −1.37013 | − | 0.253938i | −0.0701937 | − | 0.0130096i | ||||
\(382\) | −4.46575 | − | 4.70592i | −0.228488 | − | 0.240776i | ||||
\(383\) | 0.713846 | + | 0.0939796i | 0.0364758 | + | 0.00480213i | 0.148742 | − | 0.988876i | \(-0.452478\pi\) |
−0.112266 | + | 0.993678i | \(0.535811\pi\) | |||||||
\(384\) | −0.904588 | − | 11.4939i | −0.0461620 | − | 0.586544i | ||||
\(385\) | 2.53977 | + | 2.12181i | 0.129439 | + | 0.108138i | ||||
\(386\) | 1.48965 | + | 1.74416i | 0.0758214 | + | 0.0887754i | ||||
\(387\) | 0.133846 | + | 1.27346i | 0.00680378 | + | 0.0647337i | ||||
\(388\) | −11.5668 | + | 3.42623i | −0.587214 | + | 0.173941i | ||||
\(389\) | −21.1736 | − | 26.1472i | −1.07354 | − | 1.32572i | −0.942450 | − | 0.334347i | \(-0.891484\pi\) |
−0.131094 | − | 0.991370i | \(-0.541849\pi\) | |||||||
\(390\) | −1.16949 | + | 3.04663i | −0.0592196 | + | 0.154272i | ||||
\(391\) | −13.5356 | − | 3.24961i | −0.684524 | − | 0.164340i | ||||
\(392\) | 9.76099 | + | 18.1684i | 0.493005 | + | 0.917643i | ||||
\(393\) | 15.9645 | − | 13.6350i | 0.805304 | − | 0.687795i | ||||
\(394\) | −5.09025 | − | 11.4329i | −0.256443 | − | 0.575981i | ||||
\(395\) | 2.54017 | + | 3.69598i | 0.127810 | + | 0.185965i | ||||
\(396\) | 8.99779 | − | 11.7261i | 0.452156 | − | 0.589261i | ||||
\(397\) | −8.63191 | + | 29.1408i | −0.433223 | + | 1.46254i | 0.403536 | + | 0.914964i | \(0.367781\pi\) |
−0.836758 | + | 0.547572i | \(0.815552\pi\) | |||||||
\(398\) | 6.24435 | + | 5.33318i | 0.313001 | + | 0.267328i | ||||
\(399\) | 49.6143 | + | 7.30564i | 2.48382 | + | 0.365739i | ||||
\(400\) | −2.91068 | + | 0.945738i | −0.145534 | + | 0.0472869i | ||||
\(401\) | −2.86231 | − | 10.6823i | −0.142937 | − | 0.533449i | −0.999839 | − | 0.0179683i | \(-0.994280\pi\) |
0.856901 | − | 0.515480i | \(-0.172386\pi\) | |||||||
\(402\) | −3.34692 | + | 0.175405i | −0.166929 | + | 0.00874840i | ||||
\(403\) | 5.95297 | + | 3.23220i | 0.296539 | + | 0.161007i | ||||
\(404\) | −1.92504 | − | 3.54549i | −0.0957745 | − | 0.176395i | ||||
\(405\) | −2.17984 | + | 1.11068i | −0.108317 | + | 0.0551902i | ||||
\(406\) | 2.67394 | − | 2.09840i | 0.132705 | − | 0.104142i | ||||
\(407\) | 7.90841 | − | 19.0926i | 0.392006 | − | 0.946385i | ||||
\(408\) | 36.6599 | − | 45.2712i | 1.81494 | − | 2.24126i | ||||
\(409\) | 5.52428 | + | 9.56834i | 0.273158 | + | 0.473124i | 0.969669 | − | 0.244423i | \(-0.0785984\pi\) |
−0.696511 | + | 0.717547i | \(0.745265\pi\) | |||||||
\(410\) | −1.42902 | − | 1.18238i | −0.0705741 | − | 0.0583938i | ||||
\(411\) | −39.2829 | − | 22.6800i | −1.93768 | − | 1.11872i | ||||
\(412\) | −11.0100 | − | 1.74382i | −0.542426 | − | 0.0859118i | ||||
\(413\) | 1.70183 | + | 26.8742i | 0.0837418 | + | 1.32239i | ||||
\(414\) | −5.26358 | − | 1.71024i | −0.258691 | − | 0.0840537i | ||||
\(415\) | −0.259533 | + | 4.95218i | −0.0127400 | + | 0.243093i | ||||
\(416\) | 0.623072 | − | 23.7942i | 0.0305486 | − | 1.16660i | ||||
\(417\) | 1.72578 | − | 3.17848i | 0.0845116 | − | 0.155651i | ||||
\(418\) | 24.8549 | − | 16.1410i | 1.21569 | − | 0.789481i | ||||
\(419\) | 9.77028 | − | 9.77028i | 0.477309 | − | 0.477309i | −0.426961 | − | 0.904270i | \(-0.640416\pi\) |
0.904270 | + | 0.426961i | \(0.140416\pi\) | |||||||
\(420\) | −1.53339 | − | 1.58104i | −0.0748218 | − | 0.0771469i | ||||
\(421\) | −18.6502 | − | 1.46780i | −0.908954 | − | 0.0715362i | −0.384645 | − | 0.923065i | \(-0.625676\pi\) |
−0.524309 | + | 0.851528i | \(0.675676\pi\) | |||||||
\(422\) | 15.7254 | − | 5.56866i | 0.765501 | − | 0.271078i | ||||
\(423\) | 6.82156 | − | 6.47342i | 0.331676 | − | 0.314748i | ||||
\(424\) | −21.4959 | − | 16.4944i | −1.04393 | − | 0.801039i | ||||
\(425\) | 34.9212 | + | 16.6565i | 1.69393 | + | 0.807961i | ||||
\(426\) | 0.906579 | − | 1.24780i | 0.0439239 | − | 0.0604561i | ||||
\(427\) | −7.44110 | + | 0.864055i | −0.360100 | + | 0.0418145i | ||||
\(428\) | −5.22179 | + | 3.79385i | −0.252405 | + | 0.183383i | ||||
\(429\) | 31.9115 | − | 33.6277i | 1.54070 | − | 1.62356i | ||||
\(430\) | 0.0876306 | − | 0.0709619i | 0.00422592 | − | 0.00342209i | ||||
\(431\) | −11.6541 | + | 9.43731i | −0.561358 | + | 0.454579i | −0.867521 | − | 0.497400i | \(-0.834288\pi\) |
0.306163 | + | 0.951979i | \(0.400955\pi\) | |||||||
\(432\) | 0.311525 | − | 0.328279i | 0.0149882 | − | 0.0157943i | ||||
\(433\) | 0.957843 | − | 0.695913i | 0.0460310 | − | 0.0334435i | −0.564532 | − | 0.825411i | \(-0.690943\pi\) |
0.610563 | + | 0.791968i | \(0.290943\pi\) | |||||||
\(434\) | 3.05103 | − | 2.26784i | 0.146454 | − | 0.108860i | ||||
\(435\) | −0.604122 | + | 0.831502i | −0.0289654 | + | 0.0398675i | ||||
\(436\) | 12.8386 | + | 6.12371i | 0.614858 | + | 0.293272i | ||||
\(437\) | 10.5875 | + | 8.12407i | 0.506468 | + | 0.388627i | ||||
\(438\) | 16.8951 | − | 16.0328i | 0.807277 | − | 0.766077i | ||||
\(439\) | 17.4587 | − | 6.18245i | 0.833259 | − | 0.295072i | 0.117196 | − | 0.993109i | \(-0.462609\pi\) |
0.716062 | + | 0.698036i | \(0.245943\pi\) | |||||||
\(440\) | −3.67411 | − | 0.289158i | −0.175156 | − | 0.0137851i | ||||
\(441\) | 7.78189 | − | 21.6707i | 0.370566 | − | 1.03194i | ||||
\(442\) | 23.8635 | − | 23.8635i | 1.13507 | − | 1.13507i | ||||
\(443\) | −1.78812 | + | 1.16122i | −0.0849561 | + | 0.0551711i | −0.586418 | − | 0.810009i | \(-0.699462\pi\) |
0.501462 | + | 0.865180i | \(0.332796\pi\) | |||||||
\(444\) | −6.56251 | + | 12.0866i | −0.311443 | + | 0.573607i | ||||
\(445\) | 0.108408 | − | 4.13994i | 0.00513903 | − | 0.196252i | ||||
\(446\) | −0.402761 | + | 7.68513i | −0.0190713 | + | 0.363902i | ||||
\(447\) | −24.7861 | − | 8.05350i | −1.17234 | − | 0.380918i | ||||
\(448\) | −14.9238 | − | 7.40063i | −0.705084 | − | 0.349647i | ||||
\(449\) | 2.71136 | + | 0.429437i | 0.127957 | + | 0.0202664i | 0.220084 | − | 0.975481i | \(-0.429367\pi\) |
−0.0921274 | + | 0.995747i | \(0.529367\pi\) | |||||||
\(450\) | 13.3217 | + | 7.69130i | 0.627992 | + | 0.362571i | ||||
\(451\) | 12.3272 | + | 23.2868i | 0.580467 | + | 1.09653i | ||||
\(452\) | 0.204796 | + | 0.354717i | 0.00963279 | + | 0.0166845i | ||||
\(453\) | 23.5218 | − | 29.0470i | 1.10515 | − | 1.36475i | ||||
\(454\) | −1.90478 | + | 4.59856i | −0.0893959 | + | 0.215821i | ||||
\(455\) | −2.23051 | − | 2.84227i | −0.104568 | − | 0.133248i | ||||
\(456\) | −49.7601 | + | 25.3540i | −2.33023 | + | 1.18731i | ||||
\(457\) | −2.35988 | − | 4.34635i | −0.110390 | − | 0.203314i | 0.817723 | − | 0.575613i | \(-0.195236\pi\) |
−0.928113 | + | 0.372299i | \(0.878570\pi\) | |||||||
\(458\) | −17.0421 | − | 9.25312i | −0.796326 | − | 0.432370i | ||||
\(459\) | −5.71343 | + | 0.299428i | −0.266680 | + | 0.0139761i | ||||
\(460\) | −0.151695 | − | 0.566134i | −0.00707283 | − | 0.0263962i | ||||
\(461\) | −2.24065 | + | 0.728031i | −0.104357 | + | 0.0339078i | −0.360730 | − | 0.932670i | \(-0.617473\pi\) |
0.256373 | + | 0.966578i | \(0.417473\pi\) | |||||||
\(462\) | −9.58750 | − | 24.1863i | −0.446051 | − | 1.12525i | ||||
\(463\) | 25.8155 | + | 22.0486i | 1.19975 | + | 1.02468i | 0.998985 | + | 0.0450442i | \(0.0143429\pi\) |
0.200765 | + | 0.979639i | \(0.435657\pi\) | |||||||
\(464\) | −0.238790 | + | 0.806143i | −0.0110856 | + | 0.0374242i | ||||
\(465\) | −0.699783 | + | 0.911975i | −0.0324517 | + | 0.0422918i | ||||
\(466\) | 5.78573 | + | 8.41830i | 0.268019 | + | 0.389970i | ||||
\(467\) | −1.85671 | − | 4.17023i | −0.0859182 | − | 0.192975i | 0.865477 | − | 0.500949i | \(-0.167016\pi\) |
−0.951395 | + | 0.307974i | \(0.900349\pi\) | |||||||
\(468\) | −12.2700 | + | 10.4795i | −0.567179 | + | 0.484417i | ||||
\(469\) | 1.73494 | − | 3.27997i | 0.0801119 | − | 0.151455i | ||||
\(470\) | −0.805258 | − | 0.193325i | −0.0371438 | − | 0.00891743i | ||||
\(471\) | 12.6047 | − | 32.8363i | 0.580793 | − | 1.51302i | ||||
\(472\) | −18.8717 | − | 23.3046i | −0.868641 | − | 1.07268i | ||||
\(473\) | −1.53588 | + | 0.454947i | −0.0706197 | + | 0.0209185i | ||||
\(474\) | −3.68531 | − | 35.0634i | −0.169272 | − | 1.61052i | ||||
\(475\) | −24.0894 | − | 28.2050i | −1.10530 | − | 1.29414i | ||||
\(476\) | 7.83628 | + | 21.3865i | 0.359175 | + | 0.980248i | ||||
\(477\) | 2.37335 | + | 30.1562i | 0.108668 | + | 1.38076i | ||||
\(478\) | 14.6881 | + | 1.93373i | 0.671820 | + | 0.0884467i | ||||
\(479\) | 6.95027 | + | 7.32405i | 0.317566 | + | 0.334644i | 0.864595 | − | 0.502469i | \(-0.167575\pi\) |
−0.547030 | + | 0.837113i | \(0.684241\pi\) | |||||||
\(480\) | 3.97160 | + | 0.736093i | 0.181278 | + | 0.0335979i | ||||
\(481\) | −12.7787 | + | 18.5931i | −0.582659 | + | 0.847774i | ||||
\(482\) | 5.97148 | + | 18.3783i | 0.271993 | + | 0.837110i | ||||
\(483\) | 8.82533 | − | 7.70520i | 0.401567 | − | 0.350599i | ||||
\(484\) | 5.77213 | + | 2.94105i | 0.262369 | + | 0.133684i | ||||
\(485\) | −0.0879076 | − | 3.35706i | −0.00399168 | − | 0.152436i | ||||
\(486\) | 21.3003 | + | 0.557768i | 0.966201 | + | 0.0253009i | ||||
\(487\) | −6.18206 | + | 9.51954i | −0.280136 | + | 0.431372i | −0.950530 | − | 0.310634i | \(-0.899459\pi\) |
0.670394 | + | 0.742006i | \(0.266125\pi\) | |||||||
\(488\) | 6.19947 | − | 5.58203i | 0.280637 | − | 0.252686i | ||||
\(489\) | −35.9686 | − | 14.8987i | −1.62656 | − | 0.673741i | ||||
\(490\) | −1.97370 | + | 0.464633i | −0.0891625 | + | 0.0209900i | ||||
\(491\) | 20.5013i | 0.925211i | 0.886564 | + | 0.462606i | \(0.153085\pi\) | ||||
−0.886564 | + | 0.462606i | \(0.846915\pi\) | |||||||
\(492\) | −6.53906 | − | 16.2703i | −0.294804 | − | 0.733523i | ||||
\(493\) | 9.20487 | − | 5.31443i | 0.414566 | − | 0.239350i | ||||
\(494\) | −30.2052 | + | 11.5947i | −1.35900 | + | 0.521670i | ||||
\(495\) | 2.50477 | + | 3.26428i | 0.112581 | + | 0.146719i | ||||
\(496\) | −0.290581 | + | 0.894317i | −0.0130475 | + | 0.0401560i | ||||
\(497\) | 0.670596 | + | 1.57041i | 0.0300804 | + | 0.0704424i | ||||
\(498\) | 20.3695 | − | 33.2401i | 0.912781 | − | 1.48952i | ||||
\(499\) | −18.3406 | + | 0.480264i | −0.821036 | + | 0.0214996i | −0.434386 | − | 0.900727i | \(-0.643035\pi\) |
−0.386650 | + | 0.922227i | \(0.626368\pi\) | |||||||
\(500\) | 0.172120 | + | 3.28424i | 0.00769742 | + | 0.146876i | ||||
\(501\) | 7.58710 | − | 28.3154i | 0.338966 | − | 1.26504i | ||||
\(502\) | −0.742947 | + | 3.49529i | −0.0331593 | + | 0.156002i | ||||
\(503\) | 1.10287 | − | 14.0133i | 0.0491745 | − | 0.624821i | −0.922114 | − | 0.386918i | \(-0.873540\pi\) |
0.971289 | − | 0.237903i | \(-0.0764602\pi\) | |||||||
\(504\) | 6.90567 | + | 24.6943i | 0.307603 | + | 1.09997i | ||||
\(505\) | 1.09205 | − | 0.262178i | 0.0485955 | − | 0.0116667i | ||||
\(506\) | 0.903692 | − | 6.86422i | 0.0401740 | − | 0.305152i | ||||
\(507\) | −14.8414 | + | 10.2002i | −0.659130 | + | 0.453007i | ||||
\(508\) | −0.0634221 | + | 0.603421i | −0.00281390 | + | 0.0267725i | ||||
\(509\) | −0.853275 | − | 4.60386i | −0.0378207 | − | 0.204062i | 0.959036 | − | 0.283283i | \(-0.0914235\pi\) |
−0.996857 | + | 0.0792205i | \(0.974757\pi\) | |||||||
\(510\) | 3.36627 | + | 4.63327i | 0.149061 | + | 0.205165i | ||||
\(511\) | 5.63549 | + | 25.1633i | 0.249300 | + | 1.11316i | ||||
\(512\) | 6.89310 | − | 1.09176i | 0.304635 | − | 0.0482494i | ||||
\(513\) | 5.12065 | + | 1.96563i | 0.226082 | + | 0.0867848i | ||||
\(514\) | 0.492471 | + | 1.66255i | 0.0217220 | + | 0.0733322i | ||||
\(515\) | 1.26216 | − | 2.83486i | 0.0556175 | − | 0.124919i | ||||
\(516\) | 1.04820 | − | 0.194272i | 0.0461443 | − | 0.00855234i | ||||
\(517\) | 9.51759 | + | 6.91494i | 0.418583 | + | 0.304119i | ||||
\(518\) | 6.44970 | + | 10.8957i | 0.283383 | + | 0.478727i | ||||
\(519\) | 8.07655 | + | 19.4985i | 0.354521 | + | 0.855890i | ||||
\(520\) | 3.85779 | + | 1.14273i | 0.169175 | + | 0.0501120i | ||||
\(521\) | −1.01822 | + | 5.49383i | −0.0446091 | + | 0.240689i | −0.998167 | − | 0.0605208i | \(-0.980724\pi\) |
0.953558 | + | 0.301210i | \(0.0973905\pi\) | |||||||
\(522\) | 3.81421 | − | 1.81928i | 0.166943 | − | 0.0796278i | ||||
\(523\) | 25.6759 | + | 5.45758i | 1.12273 | + | 0.238643i | 0.731628 | − | 0.681704i | \(-0.238761\pi\) |
0.391101 | + | 0.920348i | \(0.372094\pi\) | |||||||
\(524\) | −6.46408 | − | 6.46408i | −0.282385 | − | 0.282385i | ||||
\(525\) | −28.4460 | + | 15.8481i | −1.24148 | + | 0.691667i | ||||
\(526\) | −12.6159 | + | 7.73102i | −0.550079 | + | 0.337089i | ||||
\(527\) | 10.4471 | − | 5.67231i | 0.455083 | − | 0.247090i | ||||
\(528\) | 5.39729 | + | 3.50504i | 0.234887 | + | 0.152537i | ||||
\(529\) | −19.4479 | + | 4.13377i | −0.845560 | + | 0.179729i | ||||
\(530\) | 2.11333 | − | 1.62161i | 0.0917970 | − | 0.0704383i | ||||
\(531\) | −5.23721 | + | 33.0665i | −0.227276 | + | 1.43496i | ||||
\(532\) | 1.47627 | − | 21.7862i | 0.0640042 | − | 0.944551i | ||||
\(533\) | −7.87811 | − | 27.6650i | −0.341239 | − | 1.19830i | ||||
\(534\) | −16.2786 | + | 28.1953i | −0.704443 | + | 1.22013i | ||||
\(535\) | −0.643907 | − | 1.67744i | −0.0278385 | − | 0.0725219i | ||||
\(536\) | 0.539352 | + | 4.09678i | 0.0232964 | + | 0.176954i | ||||
\(537\) | −11.0818 | − | 12.3076i | −0.478216 | − | 0.531112i | ||||
\(538\) | 1.54747 | + | 3.03709i | 0.0667163 | + | 0.130938i | ||||
\(539\) | 28.4296 | + | 4.63161i | 1.22455 | + | 0.199497i | ||||
\(540\) | −0.125866 | − | 0.205394i | −0.00541640 | − | 0.00883876i | ||||
\(541\) | 12.9275 | + | 19.9065i | 0.555794 | + | 0.855848i | 0.999180 | − | 0.0404824i | \(-0.0128895\pi\) |
−0.443386 | + | 0.896331i | \(0.646223\pi\) | |||||||
\(542\) | −21.0515 | − | 5.64074i | −0.904241 | − | 0.242291i | ||||
\(543\) | 28.9924 | − | 32.1993i | 1.24418 | − | 1.38181i | ||||
\(544\) | −34.4250 | − | 23.6597i | −1.47596 | − | 1.01440i | ||||
\(545\) | −2.57162 | + | 3.01098i | −0.110156 | + | 0.128976i | ||||
\(546\) | 4.74827 | + | 28.0037i | 0.203207 | + | 1.19845i | ||||
\(547\) | 33.8312 | − | 14.0134i | 1.44652 | − | 0.599168i | 0.485151 | − | 0.874431i | \(-0.338765\pi\) |
0.961369 | + | 0.275262i | \(0.0887648\pi\) | |||||||
\(548\) | −8.50293 | + | 17.8268i | −0.363227 | + | 0.761522i | ||||
\(549\) | −9.26241 | − | 0.973518i | −0.395310 | − | 0.0415488i | ||||
\(550\) | −6.42351 | + | 18.1394i | −0.273900 | + | 0.773469i | ||||
\(551\) | −10.1340 | + | 1.06513i | −0.431724 | + | 0.0453760i | ||||
\(552\) | −3.04570 | + | 12.6863i | −0.129634 | + | 0.539963i | ||||
\(553\) | 35.4118 | + | 16.4200i | 1.50586 | + | 0.698249i | ||||
\(554\) | 2.79449 | + | 17.6437i | 0.118727 | + | 0.749610i | ||||
\(555\) | −2.77717 | − | 2.63543i | −0.117884 | − | 0.111868i | ||||
\(556\) | −1.43867 | − | 0.640539i | −0.0610134 | − | 0.0271649i | ||||
\(557\) | 18.4603 | + | 6.53712i | 0.782186 | + | 0.276987i | 0.694814 | − | 0.719189i | \(-0.255486\pi\) |
0.0873719 | + | 0.996176i | \(0.472153\pi\) | |||||||
\(558\) | 4.31774 | − | 1.92238i | 0.182784 | − | 0.0813809i | ||||
\(559\) | 1.74336 | − | 0.137206i | 0.0737363 | − | 0.00580318i | ||||
\(560\) | 0.331528 | − | 0.376356i | 0.0140096 | − | 0.0159039i | ||||
\(561\) | −18.9925 | − | 79.1094i | −0.801863 | − | 3.34000i | ||||
\(562\) | 3.90651 | + | 11.0316i | 0.164786 | + | 0.465342i | ||||
\(563\) | 8.75442 | + | 18.3540i | 0.368955 | + | 0.773530i | 0.999998 | − | 0.00221820i | \(-0.000706075\pi\) |
−0.631043 | + | 0.775748i | \(0.717373\pi\) | |||||||
\(564\) | −5.81836 | − | 5.23887i | −0.244997 | − | 0.220596i | ||||
\(565\) | −0.110136 | + | 0.0295107i | −0.00463344 | + | 0.00124153i | ||||
\(566\) | 4.82105 | − | 9.46185i | 0.202644 | − | 0.397711i | ||||
\(567\) | −11.4022 | + | 17.9833i | −0.478848 | + | 0.755227i | ||||
\(568\) | −1.62138 | − | 0.993585i | −0.0680318 | − | 0.0416899i | ||||
\(569\) | −6.93192 | − | 0.363287i | −0.290601 | − | 0.0152298i | −0.0935217 | − | 0.995617i | \(-0.529812\pi\) |
−0.197080 | + | 0.980387i | \(0.563146\pi\) | |||||||
\(570\) | −1.14154 | − | 5.37051i | −0.0478137 | − | 0.224946i | ||||
\(571\) | −5.89008 | + | 0.775444i | −0.246492 | + | 0.0324513i | −0.252760 | − | 0.967529i | \(-0.581338\pi\) |
0.00626769 | + | 0.999980i | \(0.498005\pi\) | |||||||
\(572\) | −15.6873 | − | 12.7033i | −0.655919 | − | 0.531153i | ||||
\(573\) | 17.0741 | 0.713281 | ||||||||
\(574\) | −15.9452 | − | 2.52013i | −0.665541 | − | 0.105188i | ||||
\(575\) | −8.66528 | −0.361367 | ||||||||
\(576\) | −16.0950 | − | 13.0334i | −0.670623 | − | 0.543060i | ||||
\(577\) | 34.5737 | − | 4.55172i | 1.43932 | − | 0.189490i | 0.629882 | − | 0.776691i | \(-0.283103\pi\) |
0.809441 | + | 0.587201i | \(0.199770\pi\) | |||||||
\(578\) | −8.94572 | − | 42.0863i | −0.372093 | − | 1.75056i | ||||
\(579\) | −6.02839 | − | 0.315934i | −0.250531 | − | 0.0131298i | ||||
\(580\) | 0.381577 | + | 0.233831i | 0.0158441 | + | 0.00970930i | ||||
\(581\) | 20.0121 | + | 38.2414i | 0.830242 | + | 1.58652i | ||||
\(582\) | −11.9856 | + | 23.5230i | −0.496818 | + | 0.975060i | ||||
\(583\) | −36.5519 | + | 9.79405i | −1.51382 | + | 0.405628i | ||||
\(584\) | −21.3405 | − | 19.2150i | −0.883075 | − | 0.795124i | ||||
\(585\) | −1.93381 | − | 4.05432i | −0.0799533 | − | 0.167626i | ||||
\(586\) | 0.462844 | + | 1.30703i | 0.0191199 | + | 0.0539930i | ||||
\(587\) | −5.03022 | − | 20.9524i | −0.207619 | − | 0.864796i | −0.974749 | − | 0.223304i | \(-0.928316\pi\) |
0.767130 | − | 0.641492i | \(-0.221684\pi\) | |||||||
\(588\) | −18.4945 | − | 5.04323i | −0.762699 | − | 0.207979i | ||||
\(589\) | −11.3615 | + | 0.894172i | −0.468144 | + | 0.0368437i | ||||
\(590\) | 2.69327 | − | 1.19912i | 0.110880 | − | 0.0493670i | ||||
\(591\) | 31.0476 | + | 10.9945i | 1.27713 | + | 0.452255i | ||||
\(592\) | −2.86114 | − | 1.27386i | −0.117592 | − | 0.0523553i | ||||
\(593\) | −4.86231 | − | 4.61416i | −0.199671 | − | 0.189481i | 0.581968 | − | 0.813212i | \(-0.302283\pi\) |
−0.781639 | + | 0.623731i | \(0.785616\pi\) | |||||||
\(594\) | −0.445145 | − | 2.81054i | −0.0182645 | − | 0.115318i | ||||
\(595\) | −6.31523 | + | 0.566228i | −0.258899 | + | 0.0232131i | ||||
\(596\) | −2.64910 | + | 11.0343i | −0.108511 | + | 0.451983i | ||||
\(597\) | −21.4937 | + | 2.25908i | −0.879680 | + | 0.0924581i | ||||
\(598\) | −2.52306 | + | 7.12489i | −0.103175 | + | 0.291358i | ||||
\(599\) | 30.1276 | + | 3.16654i | 1.23098 | + | 0.129381i | 0.697596 | − | 0.716491i | \(-0.254253\pi\) |
0.533385 | + | 0.845872i | \(0.320920\pi\) | |||||||
\(600\) | 15.6114 | − | 32.7299i | 0.637332 | − | 1.33619i | ||||
\(601\) | 2.11830 | − | 0.877428i | 0.0864072 | − | 0.0357911i | −0.339061 | − | 0.940764i | \(-0.610109\pi\) |
0.425468 | + | 0.904973i | \(0.360109\pi\) | |||||||
\(602\) | 0.341719 | − | 0.920008i | 0.0139274 | − | 0.0374967i | ||||
\(603\) | 2.99604 | − | 3.50791i | 0.122008 | − | 0.142853i | ||||
\(604\) | −13.4123 | − | 9.21802i | −0.545739 | − | 0.375076i | ||||
\(605\) | −1.20670 | + | 1.34017i | −0.0490592 | + | 0.0544858i | ||||
\(606\) | −8.52822 | − | 2.28513i | −0.346435 | − | 0.0928270i | ||||
\(607\) | −2.01374 | − | 3.10089i | −0.0817352 | − | 0.125861i | 0.795439 | − | 0.606034i | \(-0.207241\pi\) |
−0.877174 | + | 0.480173i | \(0.840574\pi\) | |||||||
\(608\) | 20.9241 | + | 34.1450i | 0.848584 | + | 1.38476i | ||||
\(609\) | −0.838203 | + | 8.90621i | −0.0339657 | + | 0.360898i | ||||
\(610\) | 0.372339 | + | 0.730756i | 0.0150756 | + | 0.0295874i | ||||
\(611\) | −8.59388 | − | 9.54447i | −0.347671 | − | 0.386128i | ||||
\(612\) | 3.69621 | + | 28.0755i | 0.149411 | + | 1.13489i | ||||
\(613\) | 11.1194 | + | 28.9672i | 0.449110 | + | 1.16997i | 0.952129 | + | 0.305697i | \(0.0988894\pi\) |
−0.503019 | + | 0.864276i | \(0.667777\pi\) | |||||||
\(614\) | 13.0462 | − | 22.5967i | 0.526502 | − | 0.911927i | ||||
\(615\) | 4.84608 | − | 0.586033i | 0.195413 | − | 0.0236311i | ||||
\(616\) | −28.8003 | + | 14.1238i | −1.16040 | + | 0.569062i | ||||
\(617\) | −1.28358 | + | 8.10418i | −0.0516748 | + | 0.326262i | 0.948286 | + | 0.317417i | \(0.102815\pi\) |
−0.999961 | + | 0.00884499i | \(0.997185\pi\) | |||||||
\(618\) | −19.3541 | + | 14.8509i | −0.778535 | + | 0.597391i | ||||
\(619\) | 44.9869 | − | 9.56227i | 1.80818 | − | 0.384340i | 0.824729 | − | 0.565528i | \(-0.191328\pi\) |
0.983448 | + | 0.181188i | \(0.0579944\pi\) | |||||||
\(620\) | 0.419777 | + | 0.272606i | 0.0168586 | + | 0.0109481i | ||||
\(621\) | 1.12609 | − | 0.611417i | 0.0451884 | − | 0.0245353i | ||||
\(622\) | −1.97750 | + | 1.21181i | −0.0792905 | + | 0.0485893i | ||||
\(623\) | −17.5428 | − | 31.4879i | −0.702839 | − | 1.26154i | ||||
\(624\) | −4.96796 | − | 4.96796i | −0.198878 | − | 0.198878i | ||||
\(625\) | 23.1063 | + | 4.91139i | 0.924250 | + | 0.196455i | ||||
\(626\) | −0.727097 | + | 0.346808i | −0.0290607 | + | 0.0138612i | ||||
\(627\) | −14.2138 | + | 76.6908i | −0.567644 | + | 3.06274i | ||||
\(628\) | −14.6842 | − | 4.34967i | −0.585964 | − | 0.173571i | ||||
\(629\) | 15.1517 | + | 36.5793i | 0.604136 | + | 1.45851i | ||||
\(630\) | −2.52076 | + | 0.0274313i | −0.100429 | + | 0.00109289i | ||||
\(631\) | −24.8362 | − | 18.0445i | −0.988712 | − | 0.718342i | −0.0290736 | − | 0.999577i | \(-0.509256\pi\) |
−0.959639 | + | 0.281236i | \(0.909256\pi\) | |||||||
\(632\) | −42.7404 | + | 7.92147i | −1.70012 | + | 0.315099i | ||||
\(633\) | −17.8577 | + | 40.1090i | −0.709779 | + | 1.59419i | ||||
\(634\) | 0.507528 | + | 1.71339i | 0.0201565 | + | 0.0680473i | ||||
\(635\) | −0.157685 | − | 0.0605296i | −0.00625753 | − | 0.00240204i | ||||
\(636\) | 24.8739 | − | 3.93963i | 0.986313 | − | 0.156217i | ||||
\(637\) | −29.3075 | − | 11.3989i | −1.16121 | − | 0.451639i | ||||
\(638\) | 3.10729 | + | 4.27682i | 0.123019 | + | 0.169321i | ||||
\(639\) | 0.386885 | + | 2.08744i | 0.0153049 | + | 0.0825780i | ||||
\(640\) | 0.146078 | − | 1.38984i | 0.00577425 | − | 0.0549383i | ||||
\(641\) | −12.3424 | + | 8.48270i | −0.487496 | + | 0.335047i | −0.784813 | − | 0.619732i | \(-0.787241\pi\) |
0.297318 | + | 0.954779i | \(0.403908\pi\) | |||||||
\(642\) | −1.84372 | + | 14.0045i | −0.0727660 | + | 0.552712i | ||||
\(643\) | 25.8479 | − | 6.20552i | 1.01934 | − | 0.244722i | 0.310862 | − | 0.950455i | \(-0.399382\pi\) |
0.708478 | + | 0.705733i | \(0.249382\pi\) | |||||||
\(644\) | −3.64617 | − | 3.56767i | −0.143679 | − | 0.140586i | ||||
\(645\) | −0.0232837 | + | 0.295848i | −0.000916796 | + | 0.0116490i | ||||
\(646\) | −11.8051 | + | 55.5388i | −0.464467 | + | 2.18514i | ||||
\(647\) | −5.41030 | + | 20.1915i | −0.212701 | + | 0.793810i | 0.774263 | + | 0.632864i | \(0.218121\pi\) |
−0.986963 | + | 0.160945i | \(0.948546\pi\) | |||||||
\(648\) | −1.24102 | − | 23.6802i | −0.0487521 | − | 0.930245i | ||||
\(649\) | −41.8665 | + | 1.09631i | −1.64341 | + | 0.0430341i | ||||
\(650\) | 10.9767 | − | 17.9123i | 0.430541 | − | 0.702580i | ||||
\(651\) | −1.19790 | + | 9.93305i | −0.0469495 | + | 0.389307i | ||||
\(652\) | −5.23843 | + | 16.1222i | −0.205153 | + | 0.631395i | ||||
\(653\) | 8.70569 | + | 11.3455i | 0.340680 | + | 0.443983i | 0.932002 | − | 0.362453i | \(-0.118061\pi\) |
−0.591322 | + | 0.806435i | \(0.701394\pi\) | |||||||
\(654\) | 29.0615 | − | 11.1557i | 1.13640 | − | 0.436222i | ||||
\(655\) | 2.20386 | − | 1.27240i | 0.0861121 | − | 0.0497169i | ||||
\(656\) | 3.57683 | − | 1.77518i | 0.139652 | − | 0.0693093i | ||||
\(657\) | 32.0597i | 1.25077i | ||||||||
\(658\) | −6.88834 | + | 2.12222i | −0.268535 | + | 0.0827327i | ||||
\(659\) | −15.9424 | − | 6.60354i | −0.621026 | − | 0.257238i | 0.0499086 | − | 0.998754i | \(-0.484107\pi\) |
−0.670935 | + | 0.741516i | \(0.734107\pi\) | |||||||
\(660\) | 2.54566 | − | 2.29212i | 0.0990896 | − | 0.0892207i | ||||
\(661\) | 2.09212 | − | 3.22158i | 0.0813739 | − | 0.125305i | −0.795640 | − | 0.605770i | \(-0.792865\pi\) |
0.877014 | + | 0.480465i | \(0.159532\pi\) | |||||||
\(662\) | 2.15674 | + | 0.0564761i | 0.0838239 | + | 0.00219501i | ||||
\(663\) | 2.32501 | + | 88.7885i | 0.0902958 | + | 3.44826i | ||||
\(664\) | −42.8262 | − | 21.8211i | −1.66198 | − | 0.846821i | ||||
\(665\) | 5.75175 | + | 1.96663i | 0.223043 | + | 0.0762627i | ||||
\(666\) | 4.86443 | + | 14.9712i | 0.188493 | + | 0.580121i | ||||
\(667\) | −1.34833 | + | 1.96184i | −0.0522076 | + | 0.0759626i | ||||
\(668\) | −12.5504 | − | 2.32607i | −0.485588 | − | 0.0899985i | ||||
\(669\) | −13.9417 | − | 14.6915i | −0.539016 | − | 0.568005i | ||||
\(670\) | −0.402767 | − | 0.0530252i | −0.0155602 | − | 0.00204854i | ||||
\(671\) | −0.914115 | − | 11.6149i | −0.0352890 | − | 0.448390i | ||||
\(672\) | 33.0100 | − | 12.0953i | 1.27339 | − | 0.466586i | ||||
\(673\) | 8.57605 | + | 10.0413i | 0.330582 | + | 0.387062i | 0.900657 | − | 0.434531i | \(-0.143086\pi\) |
−0.570075 | + | 0.821593i | \(0.693086\pi\) | |||||||
\(674\) | −0.113894 | − | 1.08363i | −0.00438702 | − | 0.0417397i | ||||
\(675\) | −3.41481 | + | 1.01151i | −0.131436 | + | 0.0389331i | ||||
\(676\) | 4.93474 | + | 6.09389i | 0.189798 | + | 0.234380i | ||||
\(677\) | 16.1016 | − | 41.9460i | 0.618833 | − | 1.61212i | −0.161586 | − | 0.986859i | \(-0.551661\pi\) |
0.780419 | − | 0.625257i | \(-0.215006\pi\) | |||||||
\(678\) | 0.871605 | + | 0.209254i | 0.0334738 | + | 0.00803635i | ||||
\(679\) | −15.5422 | − | 24.7539i | −0.596456 | − | 0.949968i | ||||
\(680\) | 5.36919 | − | 4.58572i | 0.205899 | − | 0.175854i | ||||
\(681\) | −5.32814 | − | 11.9672i | −0.204175 | − | 0.458584i | ||||
\(682\) | 3.34890 | + | 4.87268i | 0.128236 | + | 0.186585i | ||||
\(683\) | 0.468812 | − | 0.610968i | 0.0179386 | − | 0.0233780i | −0.784298 | − | 0.620384i | \(-0.786977\pi\) |
0.802237 | + | 0.597006i | \(0.203643\pi\) | |||||||
\(684\) | 7.71049 | − | 26.0302i | 0.294818 | − | 0.995289i | ||||
\(685\) | −4.18083 | − | 3.57077i | −0.159741 | − | 0.136432i | ||||
\(686\) | −12.7226 | + | 12.2306i | −0.485750 | + | 0.466965i | ||||
\(687\) | 48.5386 | − | 15.7712i | 1.85186 | − | 0.601707i | ||||
\(688\) | 0.0628311 | + | 0.234489i | 0.00239541 | + | 0.00893980i | ||||
\(689\) | 41.2553 | − | 2.16210i | 1.57170 | − | 0.0823693i | ||||
\(690\) | −1.12723 | − | 0.612034i | −0.0429128 | − | 0.0232997i | ||||
\(691\) | 12.2049 | + | 22.4786i | 0.464295 | + | 0.855126i | 0.999943 | + | 0.0106841i | \(0.00340091\pi\) |
−0.535648 | + | 0.844442i | \(0.679932\pi\) | |||||||
\(692\) | 8.18801 | − | 4.17200i | 0.311261 | − | 0.158596i | ||||
\(693\) | 33.2327 | + | 13.3437i | 1.26241 | + | 0.506883i | ||||
\(694\) | −1.10198 | + | 2.66042i | −0.0418306 | + | 0.100988i | ||||
\(695\) | 0.275890 | − | 0.340696i | 0.0104651 | − | 0.0129233i | ||||
\(696\) | −4.98096 | − | 8.62728i | −0.188803 | − | 0.327016i | ||||
\(697\) | −48.2477 | − | 14.8473i | −1.82751 | − | 0.562381i | ||||
\(698\) | −16.2051 | − | 9.35600i | −0.613371 | − | 0.354130i | ||||
\(699\) | −26.5526 | − | 4.20551i | −1.00431 | − | 0.159067i | ||||
\(700\) | 7.85114 | + | 11.8064i | 0.296745 | + | 0.446241i | ||||
\(701\) | −38.4977 | − | 12.5087i | −1.45404 | − | 0.472446i | −0.527795 | − | 0.849372i | \(-0.676981\pi\) |
−0.926243 | + | 0.376926i | \(0.876981\pi\) | |||||||
\(702\) | −0.162584 | + | 3.10229i | −0.00613635 | + | 0.117088i | ||||
\(703\) | 0.993620 | − | 37.9448i | 0.0374751 | − | 1.43112i | ||||
\(704\) | 12.3623 | − | 22.7685i | 0.465921 | − | 0.858119i | ||||
\(705\) | 1.82789 | − | 1.18705i | 0.0688424 | − | 0.0447068i | ||||
\(706\) | −10.3239 | + | 10.3239i | −0.388546 | + | 0.388546i | ||||
\(707\) | 7.01682 | − | 6.80535i | 0.263895 | − | 0.255942i | ||||
\(708\) | 27.7864 | + | 2.18684i | 1.04428 | + | 0.0821864i | ||||
\(709\) | 49.1889 | − | 17.4187i | 1.84733 | − | 0.654173i | 0.857020 | − | 0.515283i | \(-0.172313\pi\) |
0.990308 | − | 0.138890i | \(-0.0443535\pi\) | |||||||
\(710\) | 0.135610 | − | 0.128689i | 0.00508937 | − | 0.00482963i | ||||
\(711\) | 38.5006 | + | 29.5426i | 1.44389 | + | 1.10793i | ||||
\(712\) | 36.2300 | + | 17.2808i | 1.35778 | + | 0.647626i | ||||
\(713\) | −1.56494 | + | 2.15396i | −0.0586075 | + | 0.0806663i | ||||
\(714\) | 45.7547 | + | 19.7776i | 1.71233 | + | 0.740157i | ||||
\(715\) | 4.54607 | − | 3.30291i | 0.170013 | − | 0.123522i | ||||
\(716\) | −4.96390 | + | 5.23086i | −0.185510 | + | 0.195486i | ||||
\(717\) | −30.3010 | + | 24.5372i | −1.13161 | + | 0.916360i | ||||
\(718\) | 16.5427 | − | 13.3960i | 0.617368 | − | 0.499935i | ||||
\(719\) | −24.0985 | + | 25.3945i | −0.898723 | + | 0.947057i | −0.998851 | − | 0.0479179i | \(-0.984741\pi\) |
0.100128 | + | 0.994975i | \(0.468075\pi\) | |||||||
\(720\) | 0.504473 | − | 0.366521i | 0.0188006 | − | 0.0136594i | ||||
\(721\) | −3.11529 | − | 26.8284i | −0.116020 | − | 0.999142i | ||||
\(722\) | 21.3538 | − | 29.3909i | 0.794704 | − | 1.09382i | ||||
\(723\) | −45.9033 | − | 21.8947i | −1.70716 | − | 0.814274i | ||||
\(724\) | −14.9676 | − | 11.4850i | −0.556265 | − | 0.426837i | ||||
\(725\) | 4.79939 | − | 4.55445i | 0.178245 | − | 0.169148i | ||||
\(726\) | 13.3641 | − | 4.73246i | 0.495987 | − | 0.175638i | ||||
\(727\) | 4.88029 | + | 0.384087i | 0.181000 | + | 0.0142450i | 0.168635 | − | 0.985679i | \(-0.446064\pi\) |
0.0123648 | + | 0.999924i | \(0.496064\pi\) | |||||||
\(728\) | 33.9604 | − | 8.54506i | 1.25866 | − | 0.316701i | ||||
\(729\) | −22.5802 | + | 22.5802i | −0.836305 | + | 0.836305i | ||||
\(730\) | 2.36773 | − | 1.53762i | 0.0876336 | − | 0.0569099i | ||||
\(731\) | 1.46438 | − | 2.69705i | 0.0541620 | − | 0.0997539i | ||||
\(732\) | −0.202971 | + | 7.75115i | −0.00750202 | + | 0.286491i | ||||
\(733\) | 2.64798 | − | 50.5265i | 0.0978054 | − | 1.86624i | −0.306836 | − | 0.951762i | \(-0.599270\pi\) |
0.404641 | − | 0.914476i | \(-0.367396\pi\) | |||||||
\(734\) | 11.8917 | + | 3.86383i | 0.438929 | + | 0.142617i | ||||
\(735\) | 2.68859 | − | 4.60963i | 0.0991701 | − | 0.170029i | ||||
\(736\) | 9.24023 | + | 1.46351i | 0.340600 | + | 0.0539457i | ||||
\(737\) | 4.99783 | + | 2.88550i | 0.184097 | + | 0.106289i | ||||
\(738\) | −18.6602 | − | 7.38989i | −0.686893 | − | 0.272026i | ||||
\(739\) | −16.2392 | − | 28.1271i | −0.597369 | − | 1.03467i | −0.993208 | − | 0.116353i | \(-0.962879\pi\) |
0.395839 | − | 0.918320i | \(-0.370454\pi\) | |||||||
\(740\) | −1.04911 | + | 1.29555i | −0.0385662 | + | 0.0476253i | ||||
\(741\) | 32.5856 | − | 78.6686i | 1.19706 | − | 2.88996i | ||||
\(742\) | 8.63880 | − | 21.5152i | 0.317140 | − | 0.789846i | ||||
\(743\) | 23.1874 | − | 11.8146i | 0.850663 | − | 0.433434i | 0.0264064 | − | 0.999651i | \(-0.491594\pi\) |
0.824256 | + | 0.566217i | \(0.191594\pi\) | |||||||
\(744\) | −5.31638 | − | 9.79156i | −0.194908 | − | 0.358976i | ||||
\(745\) | −2.77616 | − | 1.50733i | −0.101711 | − | 0.0552244i | ||||
\(746\) | 7.42787 | − | 0.389278i | 0.271954 | − | 0.0142525i | ||||
\(747\) | 13.8885 | + | 51.8324i | 0.508152 | + | 1.89645i | ||||
\(748\) | −33.6910 | + | 10.9469i | −1.23186 | + | 0.400257i | ||||
\(749\) | −12.2598 | − | 9.70881i | −0.447963 | − | 0.354752i | ||||
\(750\) | 5.47283 | + | 4.67424i | 0.199840 | + | 0.170679i | ||||
\(751\) | −0.711582 | + | 2.40226i | −0.0259660 | + | 0.0876598i | −0.970800 | − | 0.239889i | \(-0.922889\pi\) |
0.944834 | + | 0.327548i | \(0.106222\pi\) | |||||||
\(752\) | 1.08536 | − | 1.41447i | 0.0395792 | − | 0.0515806i | ||||
\(753\) | −5.32676 | − | 7.75048i | −0.194118 | − | 0.282443i | ||||
\(754\) | −2.34739 | − | 5.27233i | −0.0854871 | − | 0.192007i | ||||
\(755\) | 3.44499 | − | 2.94230i | 0.125376 | − | 0.107081i | ||||
\(756\) | −1.85334 | − | 0.980322i | −0.0674054 | − | 0.0356540i | ||||
\(757\) | 17.8381 | + | 4.28254i | 0.648335 | + | 0.155652i | 0.544258 | − | 0.838918i | \(-0.316811\pi\) |
0.104077 | + | 0.994569i | \(0.466811\pi\) | |||||||
\(758\) | −3.88272 | + | 10.1148i | −0.141027 | + | 0.367387i | ||||
\(759\) | 11.4670 | + | 14.1606i | 0.416226 | + | 0.513997i | ||||
\(760\) | −6.49054 | + | 1.92259i | −0.235437 | + | 0.0697395i | ||||
\(761\) | 2.02488 | + | 19.2654i | 0.0734017 | + | 0.698370i | 0.967906 | + | 0.251311i | \(0.0808618\pi\) |
−0.894505 | + | 0.447059i | \(0.852471\pi\) | |||||||
\(762\) | 0.862357 | + | 1.00969i | 0.0312399 | + | 0.0365772i | ||||
\(763\) | −5.91144 | + | 33.9531i | −0.214008 | + | 1.22919i | ||||
\(764\) | −0.583300 | − | 7.41153i | −0.0211031 | − | 0.268140i | ||||
\(765\) | −7.81557 | − | 1.02894i | −0.282572 | − | 0.0372014i | ||||
\(766\) | −0.472276 | − | 0.497675i | −0.0170640 | − | 0.0179817i | ||||
\(767\) | 44.9563 | + | 8.33217i | 1.62328 | + | 0.300857i | ||||
\(768\) | −24.1097 | + | 35.0798i | −0.869984 | + | 1.26583i | ||||
\(769\) | 10.2250 | + | 31.4692i | 0.368722 | + | 1.13481i | 0.947617 | + | 0.319408i | \(0.103484\pi\) |
−0.578896 | + | 0.815402i | \(0.696516\pi\) | |||||||
\(770\) | −0.608403 | − | 3.09434i | −0.0219253 | − | 0.111512i | ||||
\(771\) | −4.06608 | − | 2.07177i | −0.146436 | − | 0.0746130i | ||||
\(772\) | 0.0688061 | + | 2.62760i | 0.00247639 | + | 0.0945694i | ||||
\(773\) | −17.3269 | − | 0.453720i | −0.623205 | − | 0.0163192i | −0.286730 | − | 0.958012i | \(-0.592568\pi\) |
−0.336475 | + | 0.941692i | \(0.609235\pi\) | |||||||
\(774\) | 0.664550 | − | 1.02332i | 0.0238868 | − | 0.0367824i | ||||
\(775\) | 5.49930 | − | 4.95159i | 0.197541 | − | 0.177866i | ||||
\(776\) | 30.0719 | + | 12.4562i | 1.07952 | + | 0.447150i | ||||
\(777\) | −32.4848 | − | 7.42601i | −1.16539 | − | 0.266407i | ||||
\(778\) | 32.0605i | 1.14943i | ||||||||
\(779\) | 36.4664 | + | 31.8170i | 1.30654 | + | 1.13996i | ||||
\(780\) | −3.23867 | + | 1.86984i | −0.115963 | + | 0.0669512i | ||||
\(781\) | −2.47941 | + | 0.951757i | −0.0887203 | + | 0.0340565i | ||||
\(782\) | 8.07496 | + | 10.5235i | 0.288760 | + | 0.376319i | ||||
\(783\) | −0.302342 | + | 0.930512i | −0.0108048 | + | 0.0332538i | ||||
\(784\) | 0.814469 | − | 4.28868i | 0.0290882 | − | 0.153167i | ||||
\(785\) | 2.22757 | − | 3.63507i | 0.0795054 | − | 0.129741i | ||||
\(786\) | −19.9991 | + | 0.523694i | −0.713343 | + | 0.0186795i | ||||
\(787\) | 0.568826 | + | 10.8538i | 0.0202764 | + | 0.386898i | 0.989852 | + | 0.142104i | \(0.0453868\pi\) |
−0.969575 | + | 0.244793i | \(0.921280\pi\) | |||||||
\(788\) | 3.71184 | − | 13.8528i | 0.132229 | − | 0.493485i | ||||
\(789\) | 8.09630 | − | 38.0901i | 0.288236 | − | 1.35604i | ||||
\(790\) | 0.335295 | − | 4.26032i | 0.0119292 | − | 0.151575i | ||||
\(791\) | −0.694054 | + | 0.709326i | −0.0246777 | + | 0.0252207i | ||||
\(792\) | −38.7784 | + | 9.30987i | −1.37793 | + | 0.330812i | ||||
\(793\) | −1.66021 | + | 12.6106i | −0.0589560 | + | 0.447815i | ||||
\(794\) | 23.8675 | − | 16.4037i | 0.847025 | − | 0.582144i | ||||
\(795\) | −0.732808 | + | 6.97220i | −0.0259900 | + | 0.247279i | ||||
\(796\) | 1.71491 | + | 9.25284i | 0.0607834 | + | 0.327958i | ||||
\(797\) | −19.4709 | − | 26.7993i | −0.689693 | − | 0.949281i | 0.310306 | − | 0.950637i | \(-0.399569\pi\) |
−0.999999 | + | 0.00135544i | \(0.999569\pi\) | |||||||
\(798\) | −32.3605 | − | 35.1629i | −1.14555 | − | 1.24475i | ||||
\(799\) | −22.2618 | + | 3.52592i | −0.787566 | + | 0.124738i | ||||
\(800\) | −24.2756 | − | 9.31852i | −0.858271 | − | 0.329459i | ||||
\(801\) | −12.7277 | − | 42.9680i | −0.449711 | − | 1.51820i | ||||
\(802\) | −4.28629 | + | 9.62718i | −0.151354 | + | 0.339947i | ||||
\(803\) | −39.4342 | + | 7.30870i | −1.39160 | + | 0.257918i | ||||
\(804\) | −3.10718 | − | 2.25750i | −0.109582 | − | 0.0796157i | ||||
\(805\) | 1.22202 | − | 0.723376i | 0.0430705 | − | 0.0254956i | ||||
\(806\) | −2.47015 | − | 5.96346i | −0.0870072 | − | 0.210054i | ||||
\(807\) | −8.60141 | − | 2.54785i | −0.302784 | − | 0.0896887i | ||||
\(808\) | −1.98372 | + | 10.7032i | −0.0697871 | + | 0.376537i | ||||
\(809\) | 13.6231 | − | 6.49787i | 0.478962 | − | 0.228453i | −0.175600 | − | 0.984462i | \(-0.556187\pi\) |
0.654562 | + | 0.756009i | \(0.272853\pi\) | |||||||
\(810\) | 2.28032 | + | 0.484696i | 0.0801222 | + | 0.0170305i | ||||
\(811\) | 8.46545 | + | 8.46545i | 0.297262 | + | 0.297262i | 0.839941 | − | 0.542678i | \(-0.182590\pi\) |
−0.542678 | + | 0.839941i | \(0.682590\pi\) | |||||||
\(812\) | 3.89465 | + | 0.0595858i | 0.136675 | + | 0.00209105i | ||||
\(813\) | 48.9060 | − | 29.9696i | 1.71521 | − | 1.05108i | ||||
\(814\) | −17.3060 | + | 9.39638i | −0.606574 | + | 0.329343i | ||||
\(815\) | −3.95770 | − | 2.57016i | −0.138632 | − | 0.0900288i | ||||
\(816\) | −12.0603 | + | 2.56350i | −0.422196 | + | 0.0897406i | ||||
\(817\) | −2.33420 | + | 1.79109i | −0.0816632 | + | 0.0626624i | ||||
\(818\) | 1.64697 | − | 10.3986i | 0.0575850 | − | 0.363577i | ||||
\(819\) | −32.4591 | − | 21.7923i | −1.13421 | − | 0.761484i | ||||
\(820\) | −0.419941 | − | 2.08357i | −0.0146650 | − | 0.0727613i | ||||
\(821\) | 24.0809 | − | 41.7094i | 0.840430 | − | 1.45567i | −0.0491009 | − | 0.998794i | \(-0.515636\pi\) |
0.889531 | − | 0.456874i | \(-0.151031\pi\) | |||||||
\(822\) | 15.4900 | + | 40.3527i | 0.540274 | + | 1.40746i | ||||
\(823\) | −1.42859 | − | 10.8512i | −0.0497974 | − | 0.378249i | −0.998138 | − | 0.0609950i | \(-0.980573\pi\) |
0.948341 | − | 0.317254i | \(-0.102761\pi\) | |||||||
\(824\) | 20.1256 | + | 22.3518i | 0.701110 | + | 0.778661i | ||||
\(825\) | −22.9922 | − | 45.1247i | −0.800485 | − | 1.57104i | ||||
\(826\) | 14.8556 | − | 20.9220i | 0.516893 | − | 0.727970i | ||||
\(827\) | 3.95729 | + | 6.45770i | 0.137608 | + | 0.224556i | 0.914019 | − | 0.405670i | \(-0.132962\pi\) |
−0.776411 | + | 0.630227i | \(0.782962\pi\) | |||||||
\(828\) | −3.45422 | − | 5.31904i | −0.120043 | − | 0.184849i | ||||
\(829\) | 31.3371 | + | 8.39675i | 1.08838 | + | 0.291631i | 0.758025 | − | 0.652225i | \(-0.226164\pi\) |
0.330357 | + | 0.943856i | \(0.392831\pi\) | |||||||
\(830\) | 3.16192 | − | 3.51166i | 0.109752 | − | 0.121892i | ||||
\(831\) | −38.7454 | − | 26.6290i | −1.34406 | − | 0.923748i | ||||
\(832\) | −18.3691 | + | 21.5075i | −0.636835 | + | 0.745638i | ||||
\(833\) | −44.7893 | + | 32.2401i | −1.55186 | + | 1.11705i | ||||
\(834\) | −3.18408 | + | 1.31889i | −0.110256 | + | 0.0456694i | ||||
\(835\) | 1.52970 | − | 3.20709i | 0.0529376 | − | 0.110986i | ||||
\(836\) | 33.7756 | + | 3.54995i | 1.16815 | + | 0.122778i | ||||
\(837\) | −0.365276 | + | 1.03151i | −0.0126258 | + | 0.0356541i | ||||
\(838\) | −13.0944 | + | 1.37627i | −0.452337 | + | 0.0475425i | ||||
\(839\) | −11.8568 | + | 49.3870i | −0.409341 | + | 1.70503i | 0.263008 | + | 0.964794i | \(0.415285\pi\) |
−0.672349 | + | 0.740234i | \(0.734715\pi\) | |||||||
\(840\) | 0.530698 | + | 5.91896i | 0.0183108 | + | 0.204224i | ||||
\(841\) | 4.25226 | + | 26.8477i | 0.146630 | + | 0.925782i | ||||
\(842\) | 12.9310 | + | 12.2711i | 0.445633 | + | 0.422890i | ||||
\(843\) | −28.1371 | − | 12.5274i | −0.969094 | − | 0.431468i | ||||
\(844\) | 18.0206 | + | 6.38143i | 0.620294 | + | 0.219658i | ||||
\(845\) | −1.99414 | + | 0.887847i | −0.0686004 | + | 0.0305429i | ||||
\(846\) | −8.93364 | + | 0.703093i | −0.307145 | + | 0.0241728i | ||||
\(847\) | −3.09613 | + | 15.3876i | −0.106384 | + | 0.528725i | ||||
\(848\) | 1.33878 | + | 5.57643i | 0.0459740 | + | 0.191495i | ||||
\(849\) | 9.32924 | + | 26.3450i | 0.320179 | + | 0.904157i | ||||
\(850\) | −15.8720 | − | 33.2764i | −0.544406 | − | 1.14137i | ||||
\(851\) | −6.58986 | − | 5.93354i | −0.225897 | − | 0.203399i | ||||
\(852\) | 1.70725 | − | 0.457457i | 0.0584895 | − | 0.0156722i | ||||
\(853\) | 19.6244 | − | 38.5150i | 0.671927 | − | 1.31873i | −0.263312 | − | 0.964711i | \(-0.584815\pi\) |
0.935238 | − | 0.354019i | \(-0.115185\pi\) | |||||||
\(854\) | 6.02861 | + | 3.82241i | 0.206295 | + | 0.130800i | ||||
\(855\) | 6.44375 | + | 3.94873i | 0.220371 | + | 0.135044i | ||||
\(856\) | 17.3914 | + | 0.911447i | 0.594427 | + | 0.0311526i | ||||
\(857\) | −4.06721 | − | 19.1347i | −0.138933 | − | 0.653630i | −0.991402 | − | 0.130852i | \(-0.958229\pi\) |
0.852469 | − | 0.522779i | \(-0.175105\pi\) | |||||||
\(858\) | −43.7977 | + | 5.76607i | −1.49523 | + | 0.196850i | ||||
\(859\) | 0.0727706 | + | 0.0589285i | 0.00248290 | + | 0.00201061i | 0.630561 | − | 0.776140i | \(-0.282825\pi\) |
−0.628078 | + | 0.778150i | \(0.716158\pi\) | |||||||
\(860\) | 0.129217 | 0.00440627 | ||||||||
\(861\) | 33.6979 | − | 25.8748i | 1.14842 | − | 0.881810i | ||||
\(862\) | 14.2897 | 0.486710 | ||||||||
\(863\) | −36.5791 | − | 29.6212i | −1.24517 | − | 1.00832i | −0.999238 | − | 0.0390288i | \(-0.987574\pi\) |
−0.245929 | − | 0.969288i | \(-0.579093\pi\) | |||||||
\(864\) | 3.81222 | − | 0.501889i | 0.129694 | − | 0.0170746i | ||||
\(865\) | 0.531874 | + | 2.50227i | 0.0180843 | + | 0.0850797i | ||||
\(866\) | −1.12665 | − | 0.0590452i | −0.0382851 | − | 0.00200644i | ||||
\(867\) | 96.5513 | + | 59.1667i | 3.27905 | + | 2.00941i | ||||
\(868\) | 4.35267 | + | 0.180644i | 0.147739 | + | 0.00613146i | ||||
\(869\) | −27.5611 | + | 54.0916i | −0.934945 | + | 1.83493i | ||||
\(870\) | 0.946014 | − | 0.253484i | 0.0320729 | − | 0.00859390i | ||||
\(871\) | −4.68202 | − | 4.21571i | −0.158644 | − | 0.142844i | ||||
\(872\) | −16.5228 | − | 34.6408i | −0.559533 | − | 1.17309i | ||||
\(873\) | −12.1302 | − | 34.2547i | −0.410546 | − | 1.15935i | ||||
\(874\) | −2.96865 | − | 12.3653i | −0.100416 | − | 0.418263i | ||||
\(875\) | −7.55104 | + | 2.54465i | −0.255272 | + | 0.0860249i | ||||
\(876\) | 26.6087 | − | 2.09415i | 0.899024 | − | 0.0707547i | ||||
\(877\) | 32.3215 | − | 14.3905i | 1.09142 | − | 0.485932i | 0.219517 | − | 0.975609i | \(-0.429552\pi\) |
0.871904 | + | 0.489677i | \(0.162885\pi\) | |||||||
\(878\) | −16.6364 | − | 5.89127i | −0.561452 | − | 0.198821i | ||||
\(879\) | −3.33369 | − | 1.48426i | −0.112443 | − | 0.0500627i | ||||
\(880\) | 0.565836 | + | 0.536958i | 0.0190743 | + | 0.0181008i | ||||
\(881\) | −8.21562 | − | 51.8714i | −0.276791 | − | 1.74759i | −0.598840 | − | 0.800869i | \(-0.704371\pi\) |
0.322048 | − | 0.946723i | \(-0.395629\pi\) | |||||||
\(882\) | −18.7583 | + | 11.3815i | −0.631626 | + | 0.383234i | ||||
\(883\) | −2.60632 | + | 10.8561i | −0.0877096 | + | 0.365337i | −0.998913 | − | 0.0466207i | \(-0.985155\pi\) |
0.911203 | + | 0.411958i | \(0.135155\pi\) | |||||||
\(884\) | 38.4619 | − | 4.04251i | 1.29361 | − | 0.135964i | ||||
\(885\) | −2.59001 | + | 7.31396i | −0.0870621 | + | 0.245856i | ||||
\(886\) | 2.02054 | + | 0.212367i | 0.0678813 | + | 0.00713461i | ||||
\(887\) | −7.63253 | + | 16.0019i | −0.256275 | + | 0.537293i | −0.989816 | − | 0.142353i | \(-0.954533\pi\) |
0.733541 | + | 0.679646i | \(0.237866\pi\) | |||||||
\(888\) | 34.2841 | − | 14.2009i | 1.15050 | − | 0.476552i | ||||
\(889\) | −1.44939 | + | 0.245757i | −0.0486110 | + | 0.00824242i | ||||
\(890\) | −2.56292 | + | 3.00079i | −0.0859092 | + | 0.100587i | ||||
\(891\) | −27.2930 | − | 18.7579i | −0.914349 | − | 0.628414i | ||||
\(892\) | −5.90099 | + | 6.55371i | −0.197580 | + | 0.219435i | ||||
\(893\) | 20.8720 | + | 5.59264i | 0.698456 | + | 0.187151i | ||||
\(894\) | 13.5257 | + | 20.8277i | 0.452366 | + | 0.696583i | ||||
\(895\) | −1.04889 | − | 1.71163i | −0.0350604 | − | 0.0572134i | ||||
\(896\) | −5.06789 | − | 11.0573i | −0.169306 | − | 0.369397i | ||||
\(897\) | −9.03097 | − | 17.7243i | −0.301535 | − | 0.591796i | ||||
\(898\) | −1.75035 | − | 1.94396i | −0.0584101 | − | 0.0648709i | ||||
\(899\) | −0.265349 | − | 2.01553i | −0.00884990 | − | 0.0672216i | ||||
\(900\) | 6.31721 | + | 16.4569i | 0.210574 | + | 0.548564i | ||||
\(901\) | 36.2499 | − | 62.7866i | 1.20766 | − | 2.09173i | ||||
\(902\) | 4.83575 | − | 24.6372i | 0.161013 | − | 0.820331i | ||||
\(903\) | 1.13728 | + | 2.31907i | 0.0378463 | + | 0.0771738i | ||||
\(904\) | 0.172884 | − | 1.09154i | 0.00575002 | − | 0.0363042i | ||||
\(905\) | 4.16662 | − | 3.19716i | 0.138503 | − | 0.106277i | ||||
\(906\) | −34.8378 | + | 7.40500i | −1.15741 | + | 0.246015i | ||||
\(907\) | −12.6968 | − | 8.24537i | −0.421589 | − | 0.273783i | 0.316360 | − | 0.948639i | \(-0.397539\pi\) |
−0.737950 | + | 0.674856i | \(0.764206\pi\) | |||||||
\(908\) | −5.01270 | + | 2.72167i | −0.166352 | + | 0.0903219i | ||||
\(909\) | 10.3620 | − | 6.34982i | 0.343685 | − | 0.210610i | ||||
\(910\) | −0.0526669 | + | 3.44241i | −0.00174589 | + | 0.114115i | ||||
\(911\) | −22.8262 | − | 22.8262i | −0.756264 | − | 0.756264i | 0.219376 | − | 0.975640i | \(-0.429598\pi\) |
−0.975640 | + | 0.219376i | \(0.929598\pi\) | |||||||
\(912\) | 11.5622 | + | 2.45762i | 0.382863 | + | 0.0813799i | ||||
\(913\) | −60.5890 | + | 28.8995i | −2.00520 | + | 0.956433i | ||||
\(914\) | −0.858830 | + | 4.63383i | −0.0284076 | + | 0.153274i | ||||
\(915\) | −2.06959 | − | 0.613041i | −0.0684185 | − | 0.0202665i | ||||
\(916\) | −8.50417 | − | 20.5309i | −0.280986 | − | 0.678359i | ||||
\(917\) | 10.8652 | − | 19.3011i | 0.358800 | − | 0.637377i | ||||
\(918\) | 4.41060 | + | 3.20449i | 0.145572 | + | 0.105764i | ||||
\(919\) | −37.0617 | + | 6.86897i | −1.22255 | + | 0.226587i | −0.754015 | − | 0.656857i | \(-0.771885\pi\) |
−0.468537 | + | 0.883444i | \(0.655219\pi\) | |||||||
\(920\) | −0.643219 | + | 1.44469i | −0.0212063 | + | 0.0476301i | ||||
\(921\) | 19.5035 | + | 65.8426i | 0.642661 | + | 2.16959i | ||||
\(922\) | 2.09588 | + | 0.804534i | 0.0690243 | + | 0.0264959i | ||||
\(923\) | 2.86369 | − | 0.453564i | 0.0942594 | − | 0.0149292i | ||||
\(924\) | 8.90411 | − | 28.4539i | 0.292924 | − | 0.936065i | ||||
\(925\) | 14.4869 | + | 19.9395i | 0.476327 | + | 0.655608i | ||||
\(926\) | −5.89545 | − | 31.8090i | −0.193736 | − | 1.04531i | ||||
\(927\) | 3.50996 | − | 33.3950i | 0.115282 | − | 1.09684i | ||||
\(928\) | −5.88705 | + | 4.04606i | −0.193252 | + | 0.132818i | ||||
\(929\) | 3.55127 | − | 26.9746i | 0.116514 | − | 0.885008i | −0.828960 | − | 0.559308i | \(-0.811067\pi\) |
0.945473 | − | 0.325700i | \(-0.105600\pi\) | |||||||
\(930\) | 1.06511 | − | 0.255711i | 0.0349264 | − | 0.00838509i | ||||
\(931\) | 51.7986 | − | 10.7713i | 1.69763 | − | 0.353014i | ||||
\(932\) | −0.918419 | + | 11.6696i | −0.0300838 | + | 0.382251i | ||||
\(933\) | 1.26907 | − | 5.97050i | 0.0415475 | − | 0.195465i | ||||
\(934\) | −1.12583 | + | 4.20167i | −0.0368384 | + | 0.137483i | ||||
\(935\) | −0.516107 | − | 9.84792i | −0.0168785 | − | 0.322061i | ||||
\(936\) | 43.5230 | − | 1.13969i | 1.42259 | − | 0.0372519i | ||||
\(937\) | −3.97822 | + | 6.49187i | −0.129963 | + | 0.212080i | −0.911002 | − | 0.412402i | \(-0.864690\pi\) |
0.781039 | + | 0.624482i | \(0.214690\pi\) | |||||||
\(938\) | −3.25173 | + | 1.38855i | −0.106173 | + | 0.0453379i | ||||
\(939\) | 0.655153 | − | 2.01635i | 0.0213801 | − | 0.0658012i | ||||
\(940\) | −0.577720 | − | 0.752900i | −0.0188432 | − | 0.0245569i | ||||
\(941\) | 37.7647 | − | 14.4965i | 1.23109 | − | 0.472573i | 0.346110 | − | 0.938194i | \(-0.387502\pi\) |
0.884984 | + | 0.465621i | \(0.154169\pi\) | |||||||
\(942\) | −29.0256 | + | 16.7579i | −0.945705 | + | 0.546003i | ||||
\(943\) | 11.1848 | − | 1.65068i | 0.364226 | − | 0.0537535i | ||||
\(944\) | 6.34709i | 0.206580i | ||||||||
\(945\) | 0.397131 | − | 0.427716i | 0.0129187 | − | 0.0139136i | ||||
\(946\) | 1.41021 | + | 0.584126i | 0.0458497 | + | 0.0189916i | ||||
\(947\) | −28.0581 | + | 25.2636i | −0.911765 | + | 0.820957i | −0.984317 | − | 0.176408i | \(-0.943552\pi\) |
0.0725524 | + | 0.997365i | \(0.476886\pi\) | |||||||
\(948\) | 22.0047 | − | 33.8843i | 0.714679 | − | 1.10051i | ||||
\(949\) | 43.7690 | + | 1.14613i | 1.42080 | + | 0.0372050i | ||||
\(950\) | 0.925226 | + | 35.3330i | 0.0300183 | + | 1.14635i | ||||
\(951\) | −4.19040 | − | 2.13511i | −0.135883 | − | 0.0692358i | ||||
\(952\) | 19.8829 | − | 58.1509i | 0.644408 | − | 1.88468i | ||||
\(953\) | 10.8084 | + | 33.2648i | 0.350119 | + | 1.07755i | 0.958786 | + | 0.284129i | \(0.0917043\pi\) |
−0.608668 | + | 0.793425i | \(0.708296\pi\) | |||||||
\(954\) | 16.3265 | − | 23.7552i | 0.528591 | − | 0.769104i | ||||
\(955\) | 2.03492 | + | 0.377150i | 0.0658485 | + | 0.0122043i | ||||
\(956\) | 11.6863 | + | 12.3148i | 0.377962 | + | 0.398289i | ||||
\(957\) | −13.7939 | − | 1.81601i | −0.445895 | − | 0.0587032i | ||||
\(958\) | −0.754884 | − | 9.59171i | −0.0243892 | − | 0.309894i | ||||
\(959\) | −47.1448 | − | 8.20819i | −1.52239 | − | 0.265056i | ||||
\(960\) | −3.11724 | − | 3.64981i | −0.100608 | − | 0.117797i | ||||
\(961\) | 3.00272 | + | 28.5689i | 0.0968619 | + | 0.921579i | ||||
\(962\) | 20.6131 | − | 6.10588i | 0.664593 | − | 0.196861i | ||||
\(963\) | −12.2358 | − | 15.1099i | −0.394293 | − | 0.486911i | ||||
\(964\) | −7.93589 | + | 20.6737i | −0.255598 | + | 0.665855i | ||||
\(965\) | −0.711495 | − | 0.170815i | −0.0229038 | − | 0.00549873i | ||||
\(966\) | −11.1562 | + | 0.413656i | −0.358945 | + | 0.0133092i | ||||
\(967\) | −35.3324 | + | 30.1767i | −1.13621 | + | 0.970417i | −0.999795 | − | 0.0202343i | \(-0.993559\pi\) |
−0.136417 | + | 0.990651i | \(0.543559\pi\) | |||||||
\(968\) | −7.10949 | − | 15.9682i | −0.228508 | − | 0.513236i | ||||
\(969\) | −84.6400 | − | 123.152i | −2.71903 | − | 3.95621i | ||||
\(970\) | −1.94806 | + | 2.53876i | −0.0625485 | + | 0.0815147i | ||||
\(971\) | −14.9382 | + | 50.4306i | −0.479391 | + | 1.61840i | 0.274633 | + | 0.961549i | \(0.411444\pi\) |
−0.754024 | + | 0.656847i | \(0.771890\pi\) | |||||||
\(972\) | 18.5672 | + | 15.8579i | 0.595544 | + | 0.508642i | ||||
\(973\) | 0.555853 | − | 3.77493i | 0.0178198 | − | 0.121019i | ||||
\(974\) | 10.2868 | − | 3.34237i | 0.329609 | − | 0.107096i | ||||
\(975\) | 14.3100 | + | 53.4055i | 0.458286 | + | 1.71035i | ||||
\(976\) | −1.76328 | + | 0.0924095i | −0.0564412 | + | 0.00295796i | ||||
\(977\) | −24.0483 | − | 13.0572i | −0.769374 | − | 0.417736i | 0.0443288 | − | 0.999017i | \(-0.485885\pi\) |
−0.813703 | + | 0.581281i | \(0.802552\pi\) | |||||||
\(978\) | 17.7018 | + | 32.6027i | 0.566043 | + | 1.04252i | ||||
\(979\) | 49.9502 | − | 25.4509i | 1.59641 | − | 0.813414i | ||||
\(980\) | −2.09280 | − | 1.00958i | −0.0668521 | − | 0.0322500i | ||||
\(981\) | −16.3971 | + | 39.5862i | −0.523520 | + | 1.26389i | ||||
\(982\) | 12.2942 | − | 15.1821i | 0.392325 | − | 0.484481i | ||||
\(983\) | 26.7076 | + | 46.2589i | 0.851839 | + | 1.47543i | 0.879546 | + | 0.475813i | \(0.157846\pi\) |
−0.0277070 | + | 0.999616i | \(0.508821\pi\) | |||||||
\(984\) | −13.9157 | + | 45.2202i | −0.443615 | + | 1.44157i | ||||
\(985\) | 3.45745 | + | 1.99616i | 0.110164 | + | 0.0636030i | ||||
\(986\) | −10.0036 | − | 1.58441i | −0.318578 | − | 0.0504578i | ||||
\(987\) | 8.42765 | − | 16.9949i | 0.268255 | − | 0.540953i | ||||
\(988\) | −35.2617 | − | 11.4572i | −1.12182 | − | 0.364503i | ||||
\(989\) | −0.0359727 | + | 0.686399i | −0.00114386 | + | 0.0218262i | ||||
\(990\) | 0.102633 | − | 3.91940i | 0.00326190 | − | 0.124567i | ||||
\(991\) | −15.5967 | + | 28.7255i | −0.495445 | + | 0.912496i | 0.503382 | + | 0.864064i | \(0.332089\pi\) |
−0.998827 | + | 0.0484315i | \(0.984578\pi\) | |||||||
\(992\) | −6.70048 | + | 4.35134i | −0.212740 | + | 0.138155i | ||||
\(993\) | −4.01501 | + | 4.01501i | −0.127413 | + | 0.127413i | ||||
\(994\) | 0.445136 | − | 1.56510i | 0.0141189 | − | 0.0496419i | ||||
\(995\) | −2.61156 | − | 0.205534i | −0.0827921 | − | 0.00651588i | ||||
\(996\) | 42.1124 | − | 14.9128i | 1.33438 | − | 0.472529i | ||||
\(997\) | 15.7566 | − | 14.9524i | 0.499016 | − | 0.473548i | −0.396843 | − | 0.917886i | \(-0.629894\pi\) |
0.895859 | + | 0.444338i | \(0.146561\pi\) | |||||||
\(998\) | 13.8700 | + | 10.6428i | 0.439046 | + | 0.336892i | ||||
\(999\) | −3.28956 | − | 1.56904i | −0.104077 | − | 0.0496422i |
(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 | 287.2.be.a.12.10 | ✓ | 832 | |
7.3 | odd | 6 | inner | 287.2.be.a.94.17 | yes | 832 | |
41.24 | odd | 40 | inner | 287.2.be.a.229.17 | yes | 832 | |
287.24 | even | 120 | inner | 287.2.be.a.24.10 | yes | 832 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
287.2.be.a.12.10 | ✓ | 832 | 1.1 | even | 1 | trivial | |
287.2.be.a.24.10 | yes | 832 | 287.24 | even | 120 | inner | |
287.2.be.a.94.17 | yes | 832 | 7.3 | odd | 6 | inner | |
287.2.be.a.229.17 | yes | 832 | 41.24 | odd | 40 | inner |