Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [882,2,Mod(47,882)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(882, base_ring=CyclotomicField(42))
chi = DirichletCharacter(H, H._module([7, 5]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("882.47");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 882 = 2 \cdot 3^{2} \cdot 7^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 882.bc (of order \(42\), degree \(12\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(7.04280545828\) |
Analytic rank: | \(0\) |
Dimension: | \(672\) |
Relative dimension: | \(56\) over \(\Q(\zeta_{42})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{42}]$ |
Embedding invariants
Embedding label | 551.39 | ||
Character | \(\chi\) | \(=\) | 882.551 |
Dual form | 882.2.bc.a.437.39 |
$q$-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 \(\left(\mathbb{Z}/882\mathbb{Z}\right)^\times\).
\(n\) | \(199\) | \(785\) |
\(\chi(n)\) | \(e\left(\frac{11}{42}\right)\) | \(e\left(\frac{1}{6}\right)\) |
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 \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 0.997204 | − | 0.0747301i | 0.705130 | − | 0.0528422i | ||||
\(3\) | −0.688101 | − | 1.58950i | −0.397275 | − | 0.917699i | ||||
\(4\) | 0.988831 | − | 0.149042i | 0.494415 | − | 0.0745211i | ||||
\(5\) | −0.0503270 | − | 0.220497i | −0.0225069 | − | 0.0986092i | 0.962427 | − | 0.271541i | \(-0.0875332\pi\) |
−0.984934 | + | 0.172932i | \(0.944676\pi\) | |||||||
\(6\) | −0.804961 | − | 1.53364i | −0.328624 | − | 0.626104i | ||||
\(7\) | −2.35502 | − | 1.20577i | −0.890114 | − | 0.455739i | ||||
\(8\) | 0.974928 | − | 0.222521i | 0.344689 | − | 0.0786730i | ||||
\(9\) | −2.05303 | + | 2.18748i | −0.684345 | + | 0.729159i | ||||
\(10\) | −0.0666640 | − | 0.216119i | −0.0210810 | − | 0.0683430i | ||||
\(11\) | −1.68290 | + | 3.49457i | −0.507413 | + | 1.05365i | 0.477183 | + | 0.878804i | \(0.341658\pi\) |
−0.984595 | + | 0.174849i | \(0.944056\pi\) | |||||||
\(12\) | −0.917319 | − | 1.46919i | −0.264807 | − | 0.424119i | ||||
\(13\) | −6.24929 | + | 0.468320i | −1.73324 | + | 0.129888i | −0.903591 | − | 0.428396i | \(-0.859079\pi\) |
−0.829650 | + | 0.558284i | \(0.811460\pi\) | |||||||
\(14\) | −2.43854 | − | 1.02641i | −0.651728 | − | 0.274319i | ||||
\(15\) | −0.315850 | + | 0.231719i | −0.0815522 | + | 0.0598296i | ||||
\(16\) | 0.955573 | − | 0.294755i | 0.238893 | − | 0.0736888i | ||||
\(17\) | −3.98883 | − | 0.601220i | −0.967434 | − | 0.145817i | −0.353725 | − | 0.935349i | \(-0.615085\pi\) |
−0.613709 | + | 0.789532i | \(0.710323\pi\) | |||||||
\(18\) | −1.88382 | + | 2.33478i | −0.444021 | + | 0.550314i | ||||
\(19\) | −1.66969 | − | 0.963996i | −0.383053 | − | 0.221156i | 0.296093 | − | 0.955159i | \(-0.404316\pi\) |
−0.679146 | + | 0.734003i | \(0.737650\pi\) | |||||||
\(20\) | −0.0826282 | − | 0.210533i | −0.0184762 | − | 0.0470767i | ||||
\(21\) | −0.296085 | + | 4.57300i | −0.0646110 | + | 0.997911i | ||||
\(22\) | −1.41704 | + | 3.61056i | −0.302114 | + | 0.769775i | ||||
\(23\) | −0.659725 | + | 0.526113i | −0.137562 | + | 0.109702i | −0.689853 | − | 0.723949i | \(-0.742325\pi\) |
0.552291 | + | 0.833651i | \(0.313754\pi\) | |||||||
\(24\) | −1.02455 | − | 1.39653i | −0.209135 | − | 0.285066i | ||||
\(25\) | 4.45876 | − | 2.14722i | 0.891752 | − | 0.429445i | ||||
\(26\) | −6.19682 | + | 0.934020i | −1.21530 | + | 0.183176i | ||||
\(27\) | 4.88969 | + | 1.75810i | 0.941022 | + | 0.338346i | ||||
\(28\) | −2.50843 | − | 0.841307i | −0.474048 | − | 0.158992i | ||||
\(29\) | 5.53116 | − | 2.17082i | 1.02711 | − | 0.403111i | 0.208843 | − | 0.977949i | \(-0.433030\pi\) |
0.818267 | + | 0.574838i | \(0.194935\pi\) | |||||||
\(30\) | −0.297651 | + | 0.254675i | −0.0543433 | + | 0.0464970i | ||||
\(31\) | −1.65442 | − | 0.955180i | −0.297143 | − | 0.171555i | 0.344016 | − | 0.938964i | \(-0.388213\pi\) |
−0.641159 | + | 0.767408i | \(0.721546\pi\) | |||||||
\(32\) | 0.930874 | − | 0.365341i | 0.164557 | − | 0.0645838i | ||||
\(33\) | 6.71263 | + | 0.270349i | 1.16852 | + | 0.0470618i | ||||
\(34\) | −4.02261 | − | 0.301453i | −0.689872 | − | 0.0516987i | ||||
\(35\) | −0.147348 | + | 0.579957i | −0.0249063 | + | 0.0980307i | ||||
\(36\) | −1.70408 | + | 2.46903i | −0.284013 | + | 0.411505i | ||||
\(37\) | 1.25255 | + | 3.19144i | 0.205918 | + | 0.524670i | 0.996103 | − | 0.0881983i | \(-0.0281109\pi\) |
−0.790185 | + | 0.612868i | \(0.790016\pi\) | |||||||
\(38\) | −1.73706 | − | 0.836524i | −0.281788 | − | 0.135702i | ||||
\(39\) | 5.04454 | + | 9.61101i | 0.807773 | + | 1.53899i | ||||
\(40\) | −0.0981304 | − | 0.203770i | −0.0155158 | − | 0.0322188i | ||||
\(41\) | −3.04136 | + | 2.82197i | −0.474980 | + | 0.440717i | −0.880978 | − | 0.473157i | \(-0.843114\pi\) |
0.405998 | + | 0.913874i | \(0.366924\pi\) | |||||||
\(42\) | 0.0464838 | + | 4.58234i | 0.00717260 | + | 0.707070i | ||||
\(43\) | −7.87560 | − | 7.30749i | −1.20102 | − | 1.11438i | −0.990603 | − | 0.136769i | \(-0.956328\pi\) |
−0.210414 | − | 0.977612i | \(-0.567481\pi\) | |||||||
\(44\) | −1.14326 | + | 3.70636i | −0.172353 | + | 0.558755i | ||||
\(45\) | 0.585655 | + | 0.342599i | 0.0873043 | + | 0.0510716i | ||||
\(46\) | −0.618564 | + | 0.573944i | −0.0912023 | + | 0.0846234i | ||||
\(47\) | −0.698227 | − | 9.31719i | −0.101847 | − | 1.35905i | −0.780759 | − | 0.624832i | \(-0.785167\pi\) |
0.678912 | − | 0.734219i | \(-0.262452\pi\) | |||||||
\(48\) | −1.12604 | − | 1.31606i | −0.162531 | − | 0.189957i | ||||
\(49\) | 4.09223 | + | 5.67923i | 0.584604 | + | 0.811319i | ||||
\(50\) | 4.28583 | − | 2.47442i | 0.606108 | − | 0.349936i | ||||
\(51\) | 1.78908 | + | 6.75396i | 0.250521 | + | 0.945743i | ||||
\(52\) | −6.10969 | + | 1.39450i | −0.847262 | + | 0.193382i | ||||
\(53\) | −7.70061 | − | 3.02227i | −1.05776 | − | 0.415140i | −0.228233 | − | 0.973607i | \(-0.573295\pi\) |
−0.829527 | + | 0.558466i | \(0.811390\pi\) | |||||||
\(54\) | 5.00740 | + | 1.38777i | 0.681421 | + | 0.188852i | ||||
\(55\) | 0.855238 | + | 0.195202i | 0.115320 | + | 0.0263211i | ||||
\(56\) | −2.56428 | − | 0.651499i | −0.342667 | − | 0.0870602i | ||||
\(57\) | −0.383358 | + | 3.31730i | −0.0507770 | + | 0.439387i | ||||
\(58\) | 5.35347 | − | 2.57809i | 0.702945 | − | 0.338520i | ||||
\(59\) | −0.170049 | − | 0.157782i | −0.0221385 | − | 0.0205415i | 0.669026 | − | 0.743239i | \(-0.266711\pi\) |
−0.691164 | + | 0.722698i | \(0.742902\pi\) | |||||||
\(60\) | −0.277787 | + | 0.276206i | −0.0358621 | + | 0.0356580i | ||||
\(61\) | −1.14498 | + | 7.59647i | −0.146600 | + | 0.972628i | 0.787679 | + | 0.616086i | \(0.211283\pi\) |
−0.934279 | + | 0.356542i | \(0.883956\pi\) | |||||||
\(62\) | −1.72117 | − | 0.828874i | −0.218589 | − | 0.105267i | ||||
\(63\) | 7.47253 | − | 2.67606i | 0.941450 | − | 0.337152i | ||||
\(64\) | 0.900969 | − | 0.433884i | 0.112621 | − | 0.0542355i | ||||
\(65\) | 0.417771 | + | 1.35438i | 0.0518181 | + | 0.167990i | ||||
\(66\) | 6.71407 | − | 0.232042i | 0.826445 | − | 0.0285624i | ||||
\(67\) | −4.98171 | + | 8.62857i | −0.608612 | + | 1.05415i | 0.382857 | + | 0.923808i | \(0.374940\pi\) |
−0.991469 | + | 0.130340i | \(0.958393\pi\) | |||||||
\(68\) | −4.03389 | −0.489181 | ||||||||
\(69\) | 1.29022 | + | 0.686616i | 0.155324 | + | 0.0826588i | ||||
\(70\) | −0.103596 | + | 0.589347i | −0.0123820 | + | 0.0704404i | ||||
\(71\) | 6.51096 | − | 5.19232i | 0.772709 | − | 0.616215i | −0.155687 | − | 0.987806i | \(-0.549759\pi\) |
0.928396 | + | 0.371592i | \(0.121188\pi\) | |||||||
\(72\) | −1.51480 | + | 2.58947i | −0.178521 | + | 0.305173i | ||||
\(73\) | −4.49258 | + | 6.58941i | −0.525817 | + | 0.771232i | −0.993642 | − | 0.112589i | \(-0.964086\pi\) |
0.467824 | + | 0.883821i | \(0.345038\pi\) | |||||||
\(74\) | 1.48754 | + | 3.08892i | 0.172923 | + | 0.359079i | ||||
\(75\) | −6.48109 | − | 5.60970i | −0.748372 | − | 0.647752i | ||||
\(76\) | −1.79472 | − | 0.704374i | −0.205868 | − | 0.0807973i | ||||
\(77\) | 8.17691 | − | 6.20060i | 0.931846 | − | 0.706623i | ||||
\(78\) | 5.74866 | + | 9.20716i | 0.650908 | + | 1.04251i | ||||
\(79\) | −7.01322 | − | 12.1472i | −0.789049 | − | 1.36667i | −0.926550 | − | 0.376171i | \(-0.877241\pi\) |
0.137502 | − | 0.990502i | \(-0.456093\pi\) | |||||||
\(80\) | −0.113084 | − | 0.195867i | −0.0126431 | − | 0.0218986i | ||||
\(81\) | −0.570106 | − | 8.98193i | −0.0633451 | − | 0.997992i | ||||
\(82\) | −2.82197 | + | 3.04136i | −0.311634 | + | 0.335862i | ||||
\(83\) | 0.956792 | − | 12.7675i | 0.105022 | − | 1.40142i | −0.657013 | − | 0.753879i | \(-0.728180\pi\) |
0.762034 | − | 0.647537i | \(-0.224201\pi\) | |||||||
\(84\) | 0.388792 | + | 4.56605i | 0.0424207 | + | 0.498197i | ||||
\(85\) | 0.0681788 | + | 0.909783i | 0.00739503 | + | 0.0986798i | ||||
\(86\) | −8.39966 | − | 6.69851i | −0.905759 | − | 0.722319i | ||||
\(87\) | −7.25652 | − | 7.29805i | −0.777981 | − | 0.782433i | ||||
\(88\) | −0.863088 | + | 3.78144i | −0.0920055 | + | 0.403102i | ||||
\(89\) | 0.0644591 | − | 0.860147i | 0.00683266 | − | 0.0911755i | −0.992745 | − | 0.120240i | \(-0.961634\pi\) |
0.999578 | + | 0.0290642i | \(0.00925274\pi\) | |||||||
\(90\) | 0.609620 | + | 0.297875i | 0.0642596 | + | 0.0313987i | ||||
\(91\) | 15.2819 | + | 6.43231i | 1.60198 | + | 0.674290i | ||||
\(92\) | −0.573944 | + | 0.618564i | −0.0598378 | + | 0.0644898i | ||||
\(93\) | −0.379852 | + | 3.28697i | −0.0393888 | + | 0.340842i | ||||
\(94\) | −1.39255 | − | 9.23895i | −0.143630 | − | 0.952925i | ||||
\(95\) | −0.128528 | + | 0.416676i | −0.0131867 | + | 0.0427501i | ||||
\(96\) | −1.22125 | − | 1.22823i | −0.124643 | − | 0.125356i | ||||
\(97\) | −9.00570 | − | 5.19945i | −0.914391 | − | 0.527924i | −0.0325494 | − | 0.999470i | \(-0.510363\pi\) |
−0.881841 | + | 0.471546i | \(0.843696\pi\) | |||||||
\(98\) | 4.50520 | + | 5.35754i | 0.455094 | + | 0.541193i | ||||
\(99\) | −4.18925 | − | 10.8558i | −0.421035 | − | 1.09105i | ||||
\(100\) | 4.08893 | − | 2.78779i | 0.408893 | − | 0.278779i | ||||
\(101\) | 0.113902 | + | 0.499039i | 0.0113337 | + | 0.0496562i | 0.980279 | − | 0.197621i | \(-0.0633214\pi\) |
−0.968945 | + | 0.247277i | \(0.920464\pi\) | |||||||
\(102\) | 2.28880 | + | 6.60137i | 0.226625 | + | 0.653634i | ||||
\(103\) | 16.3730 | − | 3.73703i | 1.61328 | − | 0.368220i | 0.681663 | − | 0.731666i | \(-0.261257\pi\) |
0.931615 | + | 0.363445i | \(0.118400\pi\) | |||||||
\(104\) | −5.98840 | + | 1.84718i | −0.587211 | + | 0.181130i | ||||
\(105\) | 1.02323 | − | 0.164860i | 0.0998574 | − | 0.0160886i | ||||
\(106\) | −7.90493 | − | 2.43835i | −0.767795 | − | 0.236833i | ||||
\(107\) | 8.83514 | + | 0.662103i | 0.854126 | + | 0.0640079i | 0.494593 | − | 0.869125i | \(-0.335317\pi\) |
0.359533 | + | 0.933133i | \(0.382936\pi\) | |||||||
\(108\) | 5.09711 | + | 1.00969i | 0.490470 | + | 0.0971573i | ||||
\(109\) | 0.603935 | + | 8.05895i | 0.0578465 | + | 0.771907i | 0.948410 | + | 0.317048i | \(0.102692\pi\) |
−0.890563 | + | 0.454860i | \(0.849689\pi\) | |||||||
\(110\) | 0.867434 | + | 0.130745i | 0.0827066 | + | 0.0124660i | ||||
\(111\) | 4.21092 | − | 4.18696i | 0.399683 | − | 0.397409i | ||||
\(112\) | −2.60580 | − | 0.458048i | −0.246225 | − | 0.0432815i | ||||
\(113\) | −10.2266 | + | 14.9997i | −0.962040 | + | 1.41105i | −0.0510176 | + | 0.998698i | \(0.516246\pi\) |
−0.911023 | + | 0.412356i | \(0.864706\pi\) | |||||||
\(114\) | −0.134384 | + | 3.33667i | −0.0125862 | + | 0.312508i | ||||
\(115\) | 0.149208 | + | 0.118990i | 0.0139138 | + | 0.0110958i | ||||
\(116\) | 5.14584 | − | 2.97095i | 0.477779 | − | 0.275846i | ||||
\(117\) | 11.8056 | − | 14.6317i | 1.09142 | − | 1.35270i | ||||
\(118\) | −0.181365 | − | 0.144633i | −0.0166960 | − | 0.0133146i | ||||
\(119\) | 8.66884 | + | 6.22551i | 0.794672 | + | 0.570691i | ||||
\(120\) | −0.256369 | + | 0.296193i | −0.0234032 | + | 0.0270386i | ||||
\(121\) | −2.52150 | − | 3.16187i | −0.229228 | − | 0.287442i | ||||
\(122\) | −0.574097 | + | 7.66079i | −0.0519763 | + | 0.693576i | ||||
\(123\) | 6.57828 | + | 2.89244i | 0.593144 | + | 0.260803i | ||||
\(124\) | −1.77830 | − | 0.697933i | −0.159696 | − | 0.0626762i | ||||
\(125\) | −1.40292 | − | 1.75920i | −0.125481 | − | 0.157348i | ||||
\(126\) | 7.25165 | − | 3.22700i | 0.646029 | − | 0.287484i | ||||
\(127\) | −7.24622 | + | 9.08647i | −0.642998 | + | 0.806294i | −0.991374 | − | 0.131061i | \(-0.958162\pi\) |
0.348377 | + | 0.937355i | \(0.386733\pi\) | |||||||
\(128\) | 0.866025 | − | 0.500000i | 0.0765466 | − | 0.0441942i | ||||
\(129\) | −6.19606 | + | 17.5466i | −0.545532 | + | 1.54489i | ||||
\(130\) | 0.517816 | + | 1.31937i | 0.0454154 | + | 0.115717i | ||||
\(131\) | 4.26018 | − | 18.6651i | 0.372214 | − | 1.63077i | −0.348335 | − | 0.937370i | \(-0.613253\pi\) |
0.720549 | − | 0.693404i | \(-0.243890\pi\) | |||||||
\(132\) | 6.67795 | − | 0.733136i | 0.581241 | − | 0.0638113i | ||||
\(133\) | 2.76979 | + | 4.28349i | 0.240171 | + | 0.371426i | ||||
\(134\) | −4.32296 | + | 8.97673i | −0.373447 | + | 0.775471i | ||||
\(135\) | 0.141571 | − | 1.16664i | 0.0121845 | − | 0.100409i | ||||
\(136\) | −4.02261 | + | 0.301453i | −0.344936 | + | 0.0258494i | ||||
\(137\) | 1.06757 | + | 0.243667i | 0.0912089 | + | 0.0208178i | 0.267882 | − | 0.963452i | \(-0.413676\pi\) |
−0.176673 | + | 0.984270i | \(0.556533\pi\) | |||||||
\(138\) | 1.33792 | + | 0.588278i | 0.113891 | + | 0.0500775i | ||||
\(139\) | −3.35248 | − | 3.61312i | −0.284354 | − | 0.306461i | 0.574681 | − | 0.818377i | \(-0.305126\pi\) |
−0.859035 | + | 0.511917i | \(0.828936\pi\) | |||||||
\(140\) | −0.0592640 | + | 0.595441i | −0.00500872 | + | 0.0503239i | ||||
\(141\) | −14.3292 | + | 7.52100i | −1.20674 | + | 0.633382i | ||||
\(142\) | 6.10473 | − | 5.66436i | 0.512298 | − | 0.475343i | ||||
\(143\) | 8.88034 | − | 22.6267i | 0.742611 | − | 1.89214i | ||||
\(144\) | −1.31705 | + | 2.69544i | −0.109754 | + | 0.224620i | ||||
\(145\) | −0.757026 | − | 1.11035i | −0.0628676 | − | 0.0922098i | ||||
\(146\) | −3.98760 | + | 6.90672i | −0.330016 | + | 0.571604i | ||||
\(147\) | 6.21128 | − | 10.4125i | 0.512298 | − | 0.858808i | ||||
\(148\) | 1.71422 | + | 2.96911i | 0.140908 | + | 0.244060i | ||||
\(149\) | −0.323342 | + | 0.671428i | −0.0264892 | + | 0.0550055i | −0.913794 | − | 0.406179i | \(-0.866861\pi\) |
0.887304 | + | 0.461184i | \(0.152575\pi\) | |||||||
\(150\) | −6.88219 | − | 5.10968i | −0.561928 | − | 0.417204i | ||||
\(151\) | −5.29310 | − | 6.63734i | −0.430746 | − | 0.540139i | 0.518332 | − | 0.855180i | \(-0.326553\pi\) |
−0.949078 | + | 0.315041i | \(0.897982\pi\) | |||||||
\(152\) | −1.84234 | − | 0.568285i | −0.149433 | − | 0.0460940i | ||||
\(153\) | 9.50436 | − | 7.49115i | 0.768382 | − | 0.605624i | ||||
\(154\) | 7.69068 | − | 6.79432i | 0.619732 | − | 0.547502i | ||||
\(155\) | −0.127352 | + | 0.412866i | −0.0102292 | + | 0.0331622i | ||||
\(156\) | 6.42064 | + | 8.75181i | 0.514063 | + | 0.700706i | ||||
\(157\) | −11.1269 | + | 11.9919i | −0.888022 | + | 0.957061i | −0.999325 | − | 0.0367260i | \(-0.988307\pi\) |
0.111303 | + | 0.993787i | \(0.464498\pi\) | |||||||
\(158\) | −7.90137 | − | 11.5892i | −0.628599 | − | 0.921986i | ||||
\(159\) | 0.494900 | + | 14.3198i | 0.0392481 | + | 1.13563i | ||||
\(160\) | −0.127405 | − | 0.186868i | −0.0100722 | − | 0.0147732i | ||||
\(161\) | 2.18804 | − | 0.443529i | 0.172442 | − | 0.0349550i | ||||
\(162\) | −1.23973 | − | 8.91421i | −0.0974026 | − | 0.700366i | ||||
\(163\) | 0.0414442 | + | 0.0384546i | 0.00324616 | + | 0.00301199i | 0.681794 | − | 0.731544i | \(-0.261200\pi\) |
−0.678548 | + | 0.734556i | \(0.737390\pi\) | |||||||
\(164\) | −2.58680 | + | 3.24374i | −0.201995 | + | 0.253293i | ||||
\(165\) | −0.278215 | − | 1.49372i | −0.0216590 | − | 0.116286i | ||||
\(166\) | − | 12.8033i | − | 0.993729i | ||||||
\(167\) | 2.21427 | + | 0.333747i | 0.171345 | + | 0.0258261i | 0.234154 | − | 0.972199i | \(-0.424768\pi\) |
−0.0628092 | + | 0.998026i | \(0.520006\pi\) | |||||||
\(168\) | 0.728927 | + | 4.52423i | 0.0562379 | + | 0.349052i | ||||
\(169\) | 25.9795 | − | 3.91578i | 1.99842 | − | 0.301214i | ||||
\(170\) | 0.135976 | + | 0.902144i | 0.0104289 | + | 0.0691913i | ||||
\(171\) | 5.53665 | − | 1.67329i | 0.423398 | − | 0.127960i | ||||
\(172\) | −8.87676 | − | 6.05207i | −0.676846 | − | 0.461466i | ||||
\(173\) | 7.89117 | − | 20.1064i | 0.599955 | − | 1.52866i | −0.231366 | − | 0.972867i | \(-0.574319\pi\) |
0.831321 | − | 0.555793i | \(-0.187585\pi\) | |||||||
\(174\) | −7.78162 | − | 6.73536i | −0.589923 | − | 0.510606i | ||||
\(175\) | −13.0895 | − | 0.319488i | −0.989475 | − | 0.0241510i | ||||
\(176\) | −0.578088 | + | 3.83536i | −0.0435750 | + | 0.289101i | ||||
\(177\) | −0.133785 | + | 0.378863i | −0.0100559 | + | 0.0284771i | ||||
\(178\) | − | 0.862559i | − | 0.0646516i | ||||||
\(179\) | −2.51458 | + | 16.6832i | −0.187949 | + | 1.24696i | 0.673528 | + | 0.739162i | \(0.264778\pi\) |
−0.861477 | + | 0.507797i | \(0.830460\pi\) | |||||||
\(180\) | 0.630175 | + | 0.251485i | 0.0469705 | + | 0.0187446i | ||||
\(181\) | 6.13869 | + | 12.7471i | 0.456285 | + | 0.947486i | 0.994506 | + | 0.104682i | \(0.0333825\pi\) |
−0.538221 | + | 0.842804i | \(0.680903\pi\) | |||||||
\(182\) | 15.7198 | + | 5.27231i | 1.16523 | + | 0.390810i | ||||
\(183\) | 12.8625 | − | 3.40719i | 0.950821 | − | 0.251866i | ||||
\(184\) | −0.526113 | + | 0.659725i | −0.0387856 | + | 0.0486356i | ||||
\(185\) | 0.640666 | − | 0.436799i | 0.0471027 | − | 0.0321141i | ||||
\(186\) | −0.133155 | + | 3.30616i | −0.00976338 | + | 0.242419i | ||||
\(187\) | 8.81380 | − | 12.9275i | 0.644529 | − | 0.945351i | ||||
\(188\) | −2.07908 | − | 9.10905i | −0.151633 | − | 0.664346i | ||||
\(189\) | −9.39546 | − | 10.0362i | −0.683419 | − | 0.730026i | ||||
\(190\) | −0.0970300 | + | 0.425116i | −0.00703930 | + | 0.0308412i | ||||
\(191\) | 8.34031 | + | 8.98871i | 0.603484 | + | 0.650401i | 0.958712 | − | 0.284379i | \(-0.0917874\pi\) |
−0.355228 | + | 0.934780i | \(0.615597\pi\) | |||||||
\(192\) | −1.30962 | − | 1.13354i | −0.0945135 | − | 0.0818059i | ||||
\(193\) | −17.7053 | − | 5.46136i | −1.27446 | − | 0.393117i | −0.417579 | − | 0.908640i | \(-0.637121\pi\) |
−0.856876 | + | 0.515523i | \(0.827598\pi\) | |||||||
\(194\) | −9.36908 | − | 4.51191i | −0.672661 | − | 0.323936i | ||||
\(195\) | 1.86532 | − | 1.59600i | 0.133578 | − | 0.114292i | ||||
\(196\) | 4.89297 | + | 5.00588i | 0.349498 | + | 0.357563i | ||||
\(197\) | − | 26.7227i | − | 1.90392i | −0.306230 | − | 0.951958i | \(-0.599068\pi\) | ||
0.306230 | − | 0.951958i | \(-0.400932\pi\) | |||||||
\(198\) | −4.98879 | − | 10.5124i | −0.354538 | − | 0.747081i | ||||
\(199\) | −12.4253 | − | 13.3912i | −0.880803 | − | 0.949280i | 0.118241 | − | 0.992985i | \(-0.462274\pi\) |
−0.999044 | + | 0.0437047i | \(0.986084\pi\) | |||||||
\(200\) | 3.86917 | − | 3.08556i | 0.273591 | − | 0.218182i | ||||
\(201\) | 17.1431 | + | 1.98111i | 1.20918 | + | 0.139736i | ||||
\(202\) | 0.150877 | + | 0.489132i | 0.0106157 | + | 0.0344152i | ||||
\(203\) | −15.6435 | − | 1.55699i | −1.09796 | − | 0.109279i | ||||
\(204\) | 2.77572 | + | 6.41187i | 0.194339 | + | 0.448921i | ||||
\(205\) | 0.775297 | + | 0.528589i | 0.0541491 | + | 0.0369182i | ||||
\(206\) | 16.0479 | − | 4.95013i | 1.11811 | − | 0.344892i | ||||
\(207\) | 0.203578 | − | 2.52326i | 0.0141496 | − | 0.175379i | ||||
\(208\) | −5.83361 | + | 2.28952i | −0.404488 | + | 0.158750i | ||||
\(209\) | 6.17867 | − | 4.21254i | 0.427387 | − | 0.291388i | ||||
\(210\) | 1.00805 | − | 0.240865i | 0.0695622 | − | 0.0166213i | ||||
\(211\) | 13.9329 | + | 9.49931i | 0.959183 | + | 0.653960i | 0.938300 | − | 0.345822i | \(-0.112400\pi\) |
0.0208826 | + | 0.999782i | \(0.493352\pi\) | |||||||
\(212\) | −8.06505 | − | 1.84079i | −0.553910 | − | 0.126426i | ||||
\(213\) | −12.7334 | − | 6.77635i | −0.872478 | − | 0.464308i | ||||
\(214\) | 8.85992 | 0.605652 | ||||||||
\(215\) | −1.21492 | + | 2.10431i | −0.0828571 | + | 0.143513i | ||||
\(216\) | 5.15831 | + | 0.625958i | 0.350979 | + | 0.0425910i | ||||
\(217\) | 2.74446 | + | 4.24432i | 0.186306 | + | 0.288123i | ||||
\(218\) | 1.20449 | + | 7.99128i | 0.0815785 | + | 0.541238i | ||||
\(219\) | 13.5652 | + | 2.60679i | 0.916654 | + | 0.176151i | ||||
\(220\) | 0.874779 | + | 0.0655556i | 0.0589776 | + | 0.00441976i | ||||
\(221\) | 25.2089 | + | 1.88915i | 1.69574 | + | 0.127078i | ||||
\(222\) | 3.88626 | − | 4.48994i | 0.260828 | − | 0.301345i | ||||
\(223\) | −0.669259 | − | 4.44024i | −0.0448169 | − | 0.297341i | −0.999999 | − | 0.00132218i | \(-0.999579\pi\) |
0.955182 | − | 0.296018i | \(-0.0956590\pi\) | |||||||
\(224\) | −2.63274 | − | 0.262036i | −0.175908 | − | 0.0175080i | ||||
\(225\) | −4.45698 | + | 14.1618i | −0.297132 | + | 0.944117i | ||||
\(226\) | −9.07710 | + | 15.7220i | −0.603800 | + | 1.04581i | ||||
\(227\) | −5.87378 | −0.389857 | −0.194928 | − | 0.980817i | \(-0.562447\pi\) | ||||
−0.194928 | + | 0.980817i | \(0.562447\pi\) | |||||||
\(228\) | 0.115342 | + | 3.33739i | 0.00763872 | + | 0.221024i | ||||
\(229\) | 7.75040 | + | 1.76898i | 0.512161 | + | 0.116897i | 0.470788 | − | 0.882246i | \(-0.343970\pi\) |
0.0413728 | + | 0.999144i | \(0.486827\pi\) | |||||||
\(230\) | 0.157683 | + | 0.107507i | 0.0103973 | + | 0.00708878i | ||||
\(231\) | −15.4824 | − | 8.73058i | −1.01867 | − | 0.574430i | ||||
\(232\) | 4.90943 | − | 3.34719i | 0.322320 | − | 0.219754i | ||||
\(233\) | 11.1018 | − | 4.35713i | 0.727302 | − | 0.285445i | 0.0273412 | − | 0.999626i | \(-0.491296\pi\) |
0.699961 | + | 0.714181i | \(0.253201\pi\) | |||||||
\(234\) | 10.6791 | − | 15.4730i | 0.698117 | − | 1.01150i | ||||
\(235\) | −2.01927 | + | 0.622863i | −0.131723 | + | 0.0406311i | ||||
\(236\) | −0.191666 | − | 0.130676i | −0.0124764 | − | 0.00850626i | ||||
\(237\) | −14.4823 | + | 19.5061i | −0.940725 | + | 1.26705i | ||||
\(238\) | 9.10984 | + | 5.56027i | 0.590503 | + | 0.360419i | ||||
\(239\) | −6.33205 | − | 20.5280i | −0.409586 | − | 1.32785i | −0.892053 | − | 0.451932i | \(-0.850735\pi\) |
0.482466 | − | 0.875915i | \(-0.339741\pi\) | |||||||
\(240\) | −0.233518 | + | 0.314523i | −0.0150735 | + | 0.0203024i | ||||
\(241\) | 0.682279 | − | 0.544099i | 0.0439495 | − | 0.0350485i | −0.601269 | − | 0.799047i | \(-0.705338\pi\) |
0.645218 | + | 0.763998i | \(0.276766\pi\) | |||||||
\(242\) | −2.75074 | − | 2.96459i | −0.176824 | − | 0.190571i | ||||
\(243\) | −13.8845 | + | 7.08666i | −0.890691 | + | 0.454609i | ||||
\(244\) | 7.68228i | 0.491807i | ||||||||
\(245\) | 1.04630 | − | 1.18814i | 0.0668459 | − | 0.0759077i | ||||
\(246\) | 6.77604 | + | 2.39276i | 0.432025 | + | 0.152557i | ||||
\(247\) | 10.8858 | + | 5.24234i | 0.692649 | + | 0.333562i | ||||
\(248\) | −1.82549 | − | 0.563089i | −0.115919 | − | 0.0357562i | ||||
\(249\) | −20.9523 | + | 7.26451i | −1.32780 | + | 0.460370i | ||||
\(250\) | −1.53046 | − | 1.64944i | −0.0967948 | − | 0.104320i | ||||
\(251\) | −5.66953 | + | 24.8398i | −0.357857 | + | 1.56788i | 0.400663 | + | 0.916226i | \(0.368780\pi\) |
−0.758520 | + | 0.651650i | \(0.774077\pi\) | |||||||
\(252\) | 6.99022 | − | 3.75989i | 0.440343 | − | 0.236851i | ||||
\(253\) | −0.728291 | − | 3.19085i | −0.0457873 | − | 0.200607i | ||||
\(254\) | −6.54692 | + | 9.60257i | −0.410790 | + | 0.602519i | ||||
\(255\) | 1.39919 | − | 0.734393i | 0.0876206 | − | 0.0459895i | ||||
\(256\) | 0.826239 | − | 0.563320i | 0.0516399 | − | 0.0352075i | ||||
\(257\) | 2.34945 | − | 2.94612i | 0.146555 | − | 0.183774i | −0.703136 | − | 0.711056i | \(-0.748217\pi\) |
0.849690 | + | 0.527282i | \(0.176789\pi\) | |||||||
\(258\) | −4.86747 | + | 17.9605i | −0.303036 | + | 1.11817i | ||||
\(259\) | 0.898374 | − | 9.02619i | 0.0558222 | − | 0.560860i | ||||
\(260\) | 0.614965 | + | 1.27699i | 0.0381385 | + | 0.0791954i | ||||
\(261\) | −6.60704 | + | 16.5561i | −0.408966 | + | 1.02479i | ||||
\(262\) | 2.85343 | − | 18.9312i | 0.176285 | − | 1.16958i | ||||
\(263\) | − | 7.93798i | − | 0.489477i | −0.969589 | − | 0.244739i | \(-0.921298\pi\) | ||
0.969589 | − | 0.244739i | \(-0.0787021\pi\) | |||||||
\(264\) | 6.60449 | − | 1.23013i | 0.406478 | − | 0.0757093i | ||||
\(265\) | −0.278852 | + | 1.85006i | −0.0171297 | + | 0.113648i | ||||
\(266\) | 3.08215 | + | 4.06453i | 0.188979 | + | 0.249212i | ||||
\(267\) | −1.41156 | + | 0.489411i | −0.0863861 | + | 0.0299514i | ||||
\(268\) | −3.64004 | + | 9.27468i | −0.222351 | + | 0.566541i | ||||
\(269\) | −2.85019 | − | 1.94323i | −0.173779 | − | 0.118481i | 0.473307 | − | 0.880898i | \(-0.343060\pi\) |
−0.647086 | + | 0.762417i | \(0.724013\pi\) | |||||||
\(270\) | 0.0539921 | − | 1.17396i | 0.00328586 | − | 0.0714449i | ||||
\(271\) | 1.97734 | + | 13.1188i | 0.120115 | + | 0.796910i | 0.965055 | + | 0.262049i | \(0.0843982\pi\) |
−0.844940 | + | 0.534862i | \(0.820364\pi\) | |||||||
\(272\) | −3.98883 | + | 0.601220i | −0.241859 | + | 0.0364543i | ||||
\(273\) | −0.291305 | − | 28.7167i | −0.0176306 | − | 1.73801i | ||||
\(274\) | 1.08280 | + | 0.163205i | 0.0654142 | + | 0.00985960i | ||||
\(275\) | 19.1950i | 1.15750i | ||||||||
\(276\) | 1.37814 | + | 0.486650i | 0.0829543 | + | 0.0292929i | ||||
\(277\) | −18.0211 | + | 22.5978i | −1.08278 | + | 1.35777i | −0.153607 | + | 0.988132i | \(0.549089\pi\) |
−0.929177 | + | 0.369636i | \(0.879482\pi\) | |||||||
\(278\) | −3.61312 | − | 3.35248i | −0.216700 | − | 0.201069i | ||||
\(279\) | 5.48601 | − | 1.65799i | 0.328439 | − | 0.0992612i | ||||
\(280\) | −0.0146009 | + | 0.598205i | −0.000872573 | + | 0.0357496i | ||||
\(281\) | −1.62538 | − | 2.38400i | −0.0969621 | − | 0.142217i | 0.774692 | − | 0.632339i | \(-0.217905\pi\) |
−0.871654 | + | 0.490121i | \(0.836952\pi\) | |||||||
\(282\) | −13.7271 | + | 8.57079i | −0.817438 | + | 0.510383i | ||||
\(283\) | 2.21935 | + | 3.25519i | 0.131927 | + | 0.193501i | 0.886518 | − | 0.462694i | \(-0.153117\pi\) |
−0.754591 | + | 0.656195i | \(0.772165\pi\) | |||||||
\(284\) | 5.66436 | − | 6.10473i | 0.336118 | − | 0.362249i | ||||
\(285\) | 0.750748 | − | 0.0824206i | 0.0444705 | − | 0.00488217i | ||||
\(286\) | 7.16461 | − | 23.2271i | 0.423652 | − | 1.37345i | ||||
\(287\) | 10.5651 | − | 2.97860i | 0.623638 | − | 0.175821i | ||||
\(288\) | −1.11194 | + | 2.78632i | −0.0655217 | + | 0.164186i | ||||
\(289\) | −0.695414 | − | 0.214507i | −0.0409067 | − | 0.0126180i | ||||
\(290\) | −0.837886 | − | 1.05068i | −0.0492024 | − | 0.0616978i | ||||
\(291\) | −2.06769 | + | 17.8923i | −0.121210 | + | 1.04887i | ||||
\(292\) | −3.46031 | + | 7.18540i | −0.202499 | + | 0.420494i | ||||
\(293\) | 7.23412 | + | 12.5299i | 0.422622 | + | 0.732003i | 0.996195 | − | 0.0871516i | \(-0.0277765\pi\) |
−0.573573 | + | 0.819154i | \(0.694443\pi\) | |||||||
\(294\) | 5.41578 | − | 10.8475i | 0.315855 | − | 0.632642i | ||||
\(295\) | −0.0262325 | + | 0.0454360i | −0.00152731 | + | 0.00264539i | ||||
\(296\) | 1.93131 | + | 2.83271i | 0.112255 | + | 0.164648i | ||||
\(297\) | −14.3726 | + | 14.1287i | −0.833985 | + | 0.819830i | ||||
\(298\) | −0.272262 | + | 0.693714i | −0.0157717 | + | 0.0401857i | ||||
\(299\) | 3.87643 | − | 3.59680i | 0.224180 | − | 0.208008i | ||||
\(300\) | −7.24479 | − | 4.58108i | −0.418278 | − | 0.264489i | ||||
\(301\) | 9.73602 | + | 26.7054i | 0.561175 | + | 1.53928i | ||||
\(302\) | −5.77431 | − | 6.22322i | −0.332274 | − | 0.358106i | ||||
\(303\) | 0.714847 | − | 0.524437i | 0.0410669 | − | 0.0301281i | ||||
\(304\) | −1.87965 | − | 0.429018i | −0.107805 | − | 0.0246059i | ||||
\(305\) | 1.73262 | − | 0.129842i | 0.0992097 | − | 0.00743474i | ||||
\(306\) | 8.91797 | − | 8.18047i | 0.509807 | − | 0.467646i | ||||
\(307\) | −12.6333 | + | 26.2333i | −0.721019 | + | 1.49721i | 0.140824 | + | 0.990035i | \(0.455025\pi\) |
−0.861842 | + | 0.507176i | \(0.830689\pi\) | |||||||
\(308\) | 7.16143 | − | 7.35005i | 0.408060 | − | 0.418808i | ||||
\(309\) | −17.2063 | − | 23.4535i | −0.978832 | − | 1.33422i | ||||
\(310\) | −0.0961427 | + | 0.421229i | −0.00546054 | + | 0.0239242i | ||||
\(311\) | 6.42467 | + | 16.3698i | 0.364310 | + | 0.928246i | 0.989072 | + | 0.147431i | \(0.0471006\pi\) |
−0.624762 | + | 0.780815i | \(0.714804\pi\) | |||||||
\(312\) | 7.05671 | + | 8.24752i | 0.399508 | + | 0.466924i | ||||
\(313\) | 2.47915 | − | 1.43134i | 0.140130 | − | 0.0809039i | −0.428296 | − | 0.903638i | \(-0.640886\pi\) |
0.568426 | + | 0.822735i | \(0.307553\pi\) | |||||||
\(314\) | −10.1996 | + | 12.7899i | −0.575598 | + | 0.721777i | ||||
\(315\) | −0.966133 | − | 1.51299i | −0.0544354 | − | 0.0852474i | ||||
\(316\) | −8.74534 | − | 10.9663i | −0.491964 | − | 0.616903i | ||||
\(317\) | 10.9581 | + | 4.30072i | 0.615466 | + | 0.241553i | 0.652533 | − | 0.757760i | \(-0.273706\pi\) |
−0.0370670 | + | 0.999313i | \(0.511801\pi\) | |||||||
\(318\) | 1.56363 | + | 14.2427i | 0.0876842 | + | 0.798693i | ||||
\(319\) | −1.72229 | + | 22.9823i | −0.0964295 | + | 1.28676i | ||||
\(320\) | −0.141013 | − | 0.176825i | −0.00788287 | − | 0.00988481i | ||||
\(321\) | −5.02706 | − | 14.4991i | −0.280583 | − | 0.809259i | ||||
\(322\) | 2.14878 | − | 0.605801i | 0.119747 | − | 0.0337600i | ||||
\(323\) | 6.08054 | + | 4.84907i | 0.338330 | + | 0.269809i | ||||
\(324\) | −1.90243 | − | 8.79663i | −0.105690 | − | 0.488702i | ||||
\(325\) | −26.8585 | + | 15.5068i | −1.48984 | + | 0.860160i | ||||
\(326\) | 0.0442020 | + | 0.0352499i | 0.00244812 | + | 0.00195231i | ||||
\(327\) | 12.3941 | − | 6.50533i | 0.685398 | − | 0.359745i | ||||
\(328\) | −2.33716 | + | 3.42798i | −0.129048 | + | 0.189279i | ||||
\(329\) | −9.59006 | + | 22.7841i | −0.528717 | + | 1.25613i | ||||
\(330\) | −0.389063 | − | 1.46875i | −0.0214172 | − | 0.0808522i | ||||
\(331\) | −4.59033 | − | 0.691880i | −0.252307 | − | 0.0380292i | 0.0216708 | − | 0.999765i | \(-0.493101\pi\) |
−0.273978 | + | 0.961736i | \(0.588340\pi\) | |||||||
\(332\) | −0.956792 | − | 12.7675i | −0.0525108 | − | 0.700708i | ||||
\(333\) | −9.55273 | − | 3.81222i | −0.523486 | − | 0.208908i | ||||
\(334\) | 2.23302 | + | 0.167342i | 0.122185 | + | 0.00915652i | ||||
\(335\) | 2.15329 | + | 0.664201i | 0.117647 | + | 0.0362892i | ||||
\(336\) | 1.06498 | + | 4.45711i | 0.0580997 | + | 0.243155i | ||||
\(337\) | −0.901177 | + | 0.277976i | −0.0490903 | + | 0.0151423i | −0.319203 | − | 0.947686i | \(-0.603415\pi\) |
0.270113 | + | 0.962829i | \(0.412939\pi\) | |||||||
\(338\) | 25.6142 | − | 5.84628i | 1.39323 | − | 0.317996i | ||||
\(339\) | 30.8790 | + | 5.93393i | 1.67712 | + | 0.322287i | ||||
\(340\) | 0.203013 | + | 0.889460i | 0.0110100 | + | 0.0482377i | ||||
\(341\) | 6.12217 | − | 4.17402i | 0.331534 | − | 0.226036i | ||||
\(342\) | 5.39612 | − | 2.08237i | 0.291789 | − | 0.112601i | ||||
\(343\) | −2.78943 | − | 18.3090i | −0.150615 | − | 0.988593i | ||||
\(344\) | −9.30421 | − | 5.37179i | −0.501649 | − | 0.289627i | ||||
\(345\) | 0.0864639 | − | 0.319044i | 0.00465506 | − | 0.0171768i | ||||
\(346\) | 6.36656 | − | 20.6399i | 0.342268 | − | 1.10961i | ||||
\(347\) | −2.93454 | − | 19.4694i | −0.157534 | − | 1.04517i | −0.918226 | − | 0.396057i | \(-0.870378\pi\) |
0.760692 | − | 0.649113i | \(-0.224860\pi\) | |||||||
\(348\) | −8.26319 | − | 6.13501i | −0.442954 | − | 0.328871i | ||||
\(349\) | 0.153164 | − | 0.165072i | 0.00819870 | − | 0.00883610i | −0.728939 | − | 0.684578i | \(-0.759986\pi\) |
0.737138 | + | 0.675742i | \(0.236177\pi\) | |||||||
\(350\) | −13.0768 | + | 0.659586i | −0.698984 | + | 0.0352564i | ||||
\(351\) | −31.3805 | − | 8.69691i | −1.67497 | − | 0.464207i | ||||
\(352\) | −0.289854 | + | 3.86784i | −0.0154493 | + | 0.206156i | ||||
\(353\) | 6.41855 | − | 28.1215i | 0.341625 | − | 1.49676i | −0.454018 | − | 0.890992i | \(-0.650010\pi\) |
0.795643 | − | 0.605765i | \(-0.207133\pi\) | |||||||
\(354\) | −0.105098 | + | 0.387802i | −0.00558589 | + | 0.0206114i | ||||
\(355\) | −1.47257 | − | 1.17433i | −0.0781558 | − | 0.0623271i | ||||
\(356\) | −0.0644591 | − | 0.860147i | −0.00341633 | − | 0.0455877i | ||||
\(357\) | 3.93041 | − | 18.0629i | 0.208019 | − | 0.955991i | ||||
\(358\) | −1.26082 | + | 16.8244i | −0.0666363 | + | 0.889199i | ||||
\(359\) | −1.89536 | + | 2.04271i | −0.100033 | + | 0.107810i | −0.781084 | − | 0.624426i | \(-0.785333\pi\) |
0.681051 | + | 0.732236i | \(0.261523\pi\) | |||||||
\(360\) | 0.647207 | + | 0.203688i | 0.0341108 | + | 0.0107353i | ||||
\(361\) | −7.64142 | − | 13.2353i | −0.402180 | − | 0.696597i | ||||
\(362\) | 7.07412 | + | 12.2527i | 0.371807 | + | 0.643989i | ||||
\(363\) | −3.29074 | + | 6.18362i | −0.172719 | + | 0.324556i | ||||
\(364\) | 16.0699 | + | 4.08282i | 0.842291 | + | 0.213998i | ||||
\(365\) | 1.67904 | + | 0.658976i | 0.0878852 | + | 0.0344924i | ||||
\(366\) | 12.5719 | − | 4.35887i | 0.657143 | − | 0.227842i | ||||
\(367\) | 2.85765 | + | 5.93397i | 0.149168 | + | 0.309751i | 0.962142 | − | 0.272550i | \(-0.0878669\pi\) |
−0.812974 | + | 0.582301i | \(0.802153\pi\) | |||||||
\(368\) | −0.475341 | + | 0.697197i | −0.0247789 | + | 0.0363439i | ||||
\(369\) | 0.0710219 | − | 12.4465i | 0.00369725 | − | 0.647938i | ||||
\(370\) | 0.606233 | − | 0.483455i | 0.0315165 | − | 0.0251336i | ||||
\(371\) | 14.4909 | + | 16.4027i | 0.752331 | + | 0.851584i | ||||
\(372\) | 0.114287 | + | 3.30687i | 0.00592552 | + | 0.171453i | ||||
\(373\) | 23.8048 | 1.23257 | 0.616283 | − | 0.787525i | \(-0.288638\pi\) | ||||
0.616283 | + | 0.787525i | \(0.288638\pi\) | |||||||
\(374\) | 7.82309 | − | 13.5500i | 0.404522 | − | 0.700653i | ||||
\(375\) | −1.83091 | + | 3.44045i | −0.0945477 | + | 0.177664i | ||||
\(376\) | −2.75399 | − | 8.92821i | −0.142026 | − | 0.460437i | ||||
\(377\) | −33.5492 | + | 16.1564i | −1.72787 | + | 0.832099i | ||||
\(378\) | −10.1192 | − | 9.30602i | −0.520475 | − | 0.478650i | ||||
\(379\) | −24.1025 | − | 11.6071i | −1.23806 | − | 0.596219i | −0.303776 | − | 0.952744i | \(-0.598247\pi\) |
−0.934286 | + | 0.356524i | \(0.883962\pi\) | |||||||
\(380\) | −0.0649897 | + | 0.431179i | −0.00333390 | + | 0.0221190i | ||||
\(381\) | 19.4291 | + | 5.26547i | 0.995382 | + | 0.269758i | ||||
\(382\) | 8.98871 | + | 8.34031i | 0.459903 | + | 0.426727i | ||||
\(383\) | −24.9555 | + | 12.0179i | −1.27517 | + | 0.614088i | −0.944143 | − | 0.329535i | \(-0.893108\pi\) |
−0.331023 | + | 0.943623i | \(0.607394\pi\) | |||||||
\(384\) | −1.39066 | − | 1.03250i | −0.0709670 | − | 0.0526895i | ||||
\(385\) | −1.77873 | − | 1.49093i | −0.0906526 | − | 0.0759847i | ||||
\(386\) | −18.0639 | − | 4.12297i | −0.919429 | − | 0.209854i | ||||
\(387\) | 32.1538 | − | 2.22517i | 1.63447 | − | 0.113112i | ||||
\(388\) | −9.68005 | − | 3.79914i | −0.491430 | − | 0.192872i | ||||
\(389\) | 13.3219 | − | 3.04063i | 0.675445 | − | 0.154166i | 0.128979 | − | 0.991647i | \(-0.458830\pi\) |
0.546466 | + | 0.837481i | \(0.315973\pi\) | |||||||
\(390\) | 1.74084 | − | 1.73093i | 0.0881507 | − | 0.0876491i | ||||
\(391\) | 2.94784 | − | 1.70194i | 0.149079 | − | 0.0860707i | ||||
\(392\) | 5.25338 | + | 4.62623i | 0.265336 | + | 0.233660i | ||||
\(393\) | −32.5996 | + | 6.07189i | −1.64443 | + | 0.306286i | ||||
\(394\) | −1.99699 | − | 26.6480i | −0.100607 | − | 1.34251i | ||||
\(395\) | −2.32548 | + | 2.15773i | −0.117007 | + | 0.108567i | ||||
\(396\) | −5.76043 | − | 10.1101i | −0.289472 | − | 0.508054i | ||||
\(397\) | −10.7976 | + | 35.0050i | −0.541917 | + | 1.75685i | 0.105190 | + | 0.994452i | \(0.466455\pi\) |
−0.647107 | + | 0.762399i | \(0.724021\pi\) | |||||||
\(398\) | −13.3912 | − | 12.4253i | −0.671242 | − | 0.622822i | ||||
\(399\) | 4.90272 | − | 7.35007i | 0.245443 | − | 0.367964i | ||||
\(400\) | 3.62776 | − | 3.36607i | 0.181388 | − | 0.168304i | ||||
\(401\) | 5.03195 | + | 10.4489i | 0.251283 | + | 0.521795i | 0.988009 | − | 0.154396i | \(-0.0493433\pi\) |
−0.736726 | + | 0.676192i | \(0.763629\pi\) | |||||||
\(402\) | 17.2432 | + | 0.694464i | 0.860011 | + | 0.0346367i | ||||
\(403\) | 10.7863 | + | 5.19440i | 0.537303 | + | 0.258751i | ||||
\(404\) | 0.187008 | + | 0.476489i | 0.00930400 | + | 0.0237062i | ||||
\(405\) | −1.95180 | + | 0.577740i | −0.0969855 | + | 0.0287081i | ||||
\(406\) | −15.7161 | − | 0.383598i | −0.779978 | − | 0.0190376i | ||||
\(407\) | −13.2606 | − | 0.993747i | −0.657305 | − | 0.0492582i | ||||
\(408\) | 3.24712 | + | 6.18651i | 0.160756 | + | 0.306278i | ||||
\(409\) | −8.36550 | + | 3.28322i | −0.413648 | + | 0.162345i | −0.563033 | − | 0.826434i | \(-0.690366\pi\) |
0.149386 | + | 0.988779i | \(0.452270\pi\) | |||||||
\(410\) | 0.812631 | + | 0.469173i | 0.0401330 | + | 0.0231708i | ||||
\(411\) | −0.347290 | − | 1.86458i | −0.0171305 | − | 0.0919728i | ||||
\(412\) | 15.6331 | − | 6.13556i | 0.770190 | − | 0.302277i | ||||
\(413\) | 0.210219 | + | 0.576621i | 0.0103442 | + | 0.0283736i | ||||
\(414\) | 0.0144447 | − | 2.53142i | 0.000709920 | − | 0.124413i | ||||
\(415\) | −2.86335 | + | 0.431580i | −0.140556 | + | 0.0211854i | ||||
\(416\) | −5.64620 | + | 2.71907i | −0.276828 | + | 0.133313i | ||||
\(417\) | −3.43621 | + | 7.81497i | −0.168272 | + | 0.382701i | ||||
\(418\) | 5.84659 | − | 4.66250i | 0.285966 | − | 0.228050i | ||||
\(419\) | −1.30865 | + | 3.33439i | −0.0639318 | + | 0.162896i | −0.959270 | − | 0.282492i | \(-0.908839\pi\) |
0.895338 | + | 0.445388i | \(0.146934\pi\) | |||||||
\(420\) | 0.987234 | − | 0.315523i | 0.0481721 | − | 0.0153960i | ||||
\(421\) | −0.413971 | − | 1.05478i | −0.0201757 | − | 0.0514069i | 0.920431 | − | 0.390905i | \(-0.127838\pi\) |
−0.940607 | + | 0.339498i | \(0.889743\pi\) | |||||||
\(422\) | 14.6039 | + | 8.43154i | 0.710905 | + | 0.410441i | ||||
\(423\) | 21.8146 | + | 17.6011i | 1.06066 | + | 0.855797i | ||||
\(424\) | −8.18006 | − | 1.23295i | −0.397259 | − | 0.0598771i | ||||
\(425\) | −19.0762 | + | 5.88423i | −0.925331 | + | 0.285427i | ||||
\(426\) | −13.2042 | − | 5.80583i | −0.639745 | − | 0.281293i | ||||
\(427\) | 11.8561 | − | 16.5092i | 0.573755 | − | 0.798938i | ||||
\(428\) | 8.83514 | − | 0.662103i | 0.427063 | − | 0.0320039i | ||||
\(429\) | −42.0758 | + | 1.45417i | −2.03144 | + | 0.0702078i | ||||
\(430\) | −1.05427 | + | 2.18922i | −0.0508415 | + | 0.105573i | ||||
\(431\) | −12.0127 | − | 38.9443i | −0.578632 | − | 1.87588i | −0.472039 | − | 0.881577i | \(-0.656482\pi\) |
−0.106593 | − | 0.994303i | \(-0.533994\pi\) | |||||||
\(432\) | 5.19067 | + | 0.238726i | 0.249736 | + | 0.0114857i | ||||
\(433\) | −10.8927 | + | 2.48620i | −0.523472 | + | 0.119479i | −0.476088 | − | 0.879398i | \(-0.657946\pi\) |
−0.0473840 | + | 0.998877i | \(0.515088\pi\) | |||||||
\(434\) | 3.05397 | + | 4.02736i | 0.146595 | + | 0.193319i | ||||
\(435\) | −1.24400 | + | 1.96733i | −0.0596452 | + | 0.0943262i | ||||
\(436\) | 1.79831 | + | 7.87893i | 0.0861236 | + | 0.377332i | ||||
\(437\) | 1.60871 | − | 0.242474i | 0.0769549 | − | 0.0115991i | ||||
\(438\) | 13.7221 | + | 1.58577i | 0.655668 | + | 0.0757710i | ||||
\(439\) | 21.5197 | − | 1.61268i | 1.02708 | − | 0.0769689i | 0.449480 | − | 0.893290i | \(-0.351609\pi\) |
0.577598 | + | 0.816321i | \(0.303990\pi\) | |||||||
\(440\) | 0.877232 | 0.0418204 | ||||||||
\(441\) | −20.8247 | − | 2.70799i | −0.991651 | − | 0.128952i | ||||
\(442\) | 25.2796 | 1.20243 | ||||||||
\(443\) | −15.2524 | + | 1.14301i | −0.724662 | + | 0.0543059i | −0.431953 | − | 0.901896i | \(-0.642175\pi\) |
−0.292708 | + | 0.956202i | \(0.594556\pi\) | |||||||
\(444\) | 3.53986 | − | 4.76780i | 0.167994 | − | 0.226270i | ||||
\(445\) | −0.192904 | + | 0.0290756i | −0.00914452 | + | 0.00137832i | ||||
\(446\) | −0.999207 | − | 4.37781i | −0.0473138 | − | 0.207295i | ||||
\(447\) | 1.28973 | + | 0.0519434i | 0.0610020 | + | 0.00245684i | ||||
\(448\) | −2.64496 | − | 0.0645581i | −0.124963 | − | 0.00305008i | ||||
\(449\) | 16.2682 | − | 3.71311i | 0.767744 | − | 0.175232i | 0.179326 | − | 0.983790i | \(-0.442608\pi\) |
0.588418 | + | 0.808557i | \(0.299751\pi\) | |||||||
\(450\) | −3.38620 | + | 14.4552i | −0.159627 | + | 0.681426i | ||||
\(451\) | −4.74328 | − | 15.3773i | −0.223352 | − | 0.724090i | ||||
\(452\) | −7.87682 | + | 16.3564i | −0.370494 | + | 0.769339i | ||||
\(453\) | −6.90787 | + | 12.9806i | −0.324560 | + | 0.609880i | ||||
\(454\) | −5.85736 | + | 0.438948i | −0.274900 | + | 0.0206009i | ||||
\(455\) | 0.649214 | − | 3.69333i | 0.0304356 | − | 0.173146i | ||||
\(456\) | 0.364423 | + | 3.31943i | 0.0170657 | + | 0.155447i | ||||
\(457\) | −25.6002 | + | 7.89662i | −1.19753 | + | 0.369388i | −0.828478 | − | 0.560021i | \(-0.810793\pi\) |
−0.369050 | + | 0.929410i | \(0.620317\pi\) | |||||||
\(458\) | 7.86092 | + | 1.18484i | 0.367317 | + | 0.0553641i | ||||
\(459\) | −18.4472 | − | 9.95253i | −0.861040 | − | 0.464544i | ||||
\(460\) | 0.165276 | + | 0.0954224i | 0.00770605 | + | 0.00444909i | ||||
\(461\) | 9.14777 | + | 23.3081i | 0.426054 | + | 1.08557i | 0.969275 | + | 0.245979i | \(0.0791093\pi\) |
−0.543221 | + | 0.839590i | \(0.682795\pi\) | |||||||
\(462\) | −16.0915 | − | 7.54917i | −0.748646 | − | 0.351219i | ||||
\(463\) | 10.6554 | − | 27.1496i | 0.495199 | − | 1.26175i | −0.436889 | − | 0.899516i | \(-0.643920\pi\) |
0.932088 | − | 0.362232i | \(-0.117985\pi\) | |||||||
\(464\) | 4.64557 | − | 3.70472i | 0.215665 | − | 0.171987i | ||||
\(465\) | 0.743883 | − | 0.0816668i | 0.0344967 | − | 0.00378721i | ||||
\(466\) | 10.7451 | − | 5.17458i | 0.497759 | − | 0.239708i | ||||
\(467\) | 9.05611 | − | 1.36499i | 0.419067 | − | 0.0631642i | 0.0638757 | − | 0.997958i | \(-0.479654\pi\) |
0.355191 | + | 0.934794i | \(0.384416\pi\) | |||||||
\(468\) | 9.49297 | − | 16.2278i | 0.438813 | − | 0.750128i | ||||
\(469\) | 22.1361 | − | 14.3136i | 1.02215 | − | 0.660943i | ||||
\(470\) | −1.96708 | + | 0.772021i | −0.0907346 | + | 0.0356107i | ||||
\(471\) | 26.7176 | + | 9.43455i | 1.23108 | + | 0.434721i | ||||
\(472\) | −0.200895 | − | 0.115987i | −0.00924696 | − | 0.00533873i | ||||
\(473\) | 38.7904 | − | 15.2241i | 1.78358 | − | 0.700005i | ||||
\(474\) | −12.9841 | + | 20.5338i | −0.596379 | + | 0.943148i | ||||
\(475\) | −9.51466 | − | 0.713025i | −0.436562 | − | 0.0327158i | ||||
\(476\) | 9.49988 | + | 4.86395i | 0.435426 | + | 0.222939i | ||||
\(477\) | 22.4208 | − | 10.6401i | 1.02658 | − | 0.487176i | ||||
\(478\) | −7.84840 | − | 19.9974i | −0.358978 | − | 0.914660i | ||||
\(479\) | −1.10444 | − | 0.531871i | −0.0504632 | − | 0.0243018i | 0.408482 | − | 0.912766i | \(-0.366058\pi\) |
−0.458945 | + | 0.888465i | \(0.651773\pi\) | |||||||
\(480\) | −0.209360 | + | 0.331094i | −0.00955595 | + | 0.0151123i | ||||
\(481\) | −9.32215 | − | 19.3577i | −0.425054 | − | 0.882633i | ||||
\(482\) | 0.639711 | − | 0.593565i | 0.0291380 | − | 0.0270361i | ||||
\(483\) | −2.21058 | − | 3.17270i | −0.100585 | − | 0.144363i | ||||
\(484\) | −2.96459 | − | 2.75074i | −0.134754 | − | 0.125034i | ||||
\(485\) | −0.693232 | + | 2.24740i | −0.0314780 | + | 0.102049i | ||||
\(486\) | −13.3161 | + | 8.10443i | −0.604030 | + | 0.367625i | ||||
\(487\) | −5.19577 | + | 4.82097i | −0.235443 | + | 0.218459i | −0.789066 | − | 0.614308i | \(-0.789435\pi\) |
0.553623 | + | 0.832767i | \(0.313245\pi\) | |||||||
\(488\) | 0.574097 | + | 7.66079i | 0.0259882 | + | 0.346788i | ||||
\(489\) | 0.0326058 | − | 0.0923362i | 0.00147449 | − | 0.00417559i | ||||
\(490\) | 0.954588 | − | 1.26301i | 0.0431239 | − | 0.0570570i | ||||
\(491\) | −28.8017 | + | 16.6287i | −1.29980 | + | 0.750442i | −0.980370 | − | 0.197167i | \(-0.936826\pi\) |
−0.319433 | + | 0.947609i | \(0.603493\pi\) | |||||||
\(492\) | 6.93591 | + | 1.87970i | 0.312695 | + | 0.0847432i | ||||
\(493\) | −23.3680 | + | 5.33360i | −1.05244 | + | 0.240213i | ||||
\(494\) | 11.2472 | + | 4.41418i | 0.506033 | + | 0.198603i | ||||
\(495\) | −2.18283 | + | 1.47006i | −0.0981110 | + | 0.0660741i | ||||
\(496\) | −1.86246 | − | 0.425095i | −0.0836271 | − | 0.0190873i | ||||
\(497\) | −21.5942 | + | 4.37728i | −0.968632 | + | 0.196348i | ||||
\(498\) | −20.3509 | + | 8.80997i | −0.911945 | + | 0.394784i | ||||
\(499\) | 2.90578 | − | 1.39935i | 0.130081 | − | 0.0626435i | −0.367711 | − | 0.929940i | \(-0.619859\pi\) |
0.497792 | + | 0.867296i | \(0.334144\pi\) | |||||||
\(500\) | −1.64944 | − | 1.53046i | −0.0737654 | − | 0.0684443i | ||||
\(501\) | −0.993149 | − | 3.74924i | −0.0443706 | − | 0.167504i | ||||
\(502\) | −3.79739 | + | 25.1940i | −0.169486 | + | 1.12447i | ||||
\(503\) | 9.81594 | + | 4.72711i | 0.437671 | + | 0.210771i | 0.639726 | − | 0.768603i | \(-0.279048\pi\) |
−0.202055 | + | 0.979374i | \(0.564762\pi\) | |||||||
\(504\) | 6.68970 | − | 4.27176i | 0.297983 | − | 0.190279i | ||||
\(505\) | 0.104304 | − | 0.0502303i | 0.00464148 | − | 0.00223522i | ||||
\(506\) | −0.964708 | − | 3.12751i | −0.0428865 | − | 0.139035i | ||||
\(507\) | −24.1007 | − | 38.6000i | −1.07035 | − | 1.71429i | ||||
\(508\) | −5.81101 | + | 10.0650i | −0.257822 | + | 0.446561i | ||||
\(509\) | −17.7365 | −0.786159 | −0.393079 | − | 0.919505i | \(-0.628590\pi\) | ||||
−0.393079 | + | 0.919505i | \(0.628590\pi\) | |||||||
\(510\) | 1.34039 | − | 0.836901i | 0.0593537 | − | 0.0370586i | ||||
\(511\) | 18.5254 | − | 10.1012i | 0.819518 | − | 0.446849i | ||||
\(512\) | 0.781831 | − | 0.623490i | 0.0345524 | − | 0.0275546i | ||||
\(513\) | −6.46947 | − | 7.64912i | −0.285634 | − | 0.337717i | ||||
\(514\) | 2.12272 | − | 3.11346i | 0.0936291 | − | 0.137329i | ||||
\(515\) | −1.64801 | − | 3.42212i | −0.0726199 | − | 0.150797i | ||||
\(516\) | −3.51167 | + | 18.2741i | −0.154593 | + | 0.804471i | ||||
\(517\) | 33.7346 | + | 13.2399i | 1.48365 | + | 0.582289i | ||||
\(518\) | 0.221333 | − | 9.06809i | 0.00972483 | − | 0.398429i | ||||
\(519\) | −37.3891 | + | 1.29219i | −1.64120 | + | 0.0567208i | ||||
\(520\) | 0.708675 | + | 1.22746i | 0.0310774 | + | 0.0538277i | ||||
\(521\) | 2.12397 | + | 3.67882i | 0.0930527 | + | 0.161172i | 0.908794 | − | 0.417245i | \(-0.137004\pi\) |
−0.815742 | + | 0.578417i | \(0.803671\pi\) | |||||||
\(522\) | −5.35133 | + | 17.0035i | −0.234221 | + | 0.744223i | ||||
\(523\) | 15.9269 | − | 17.1651i | 0.696436 | − | 0.750579i | −0.281482 | − | 0.959566i | \(-0.590826\pi\) |
0.977918 | + | 0.208987i | \(0.0670166\pi\) | |||||||
\(524\) | 1.43071 | − | 19.0915i | 0.0625010 | − | 0.834018i | ||||
\(525\) | 8.49909 | + | 21.0257i | 0.370931 | + | 0.917635i | ||||
\(526\) | −0.593206 | − | 7.91579i | −0.0258650 | − | 0.345145i | ||||
\(527\) | 6.02493 | + | 4.80472i | 0.262450 | + | 0.209297i | ||||
\(528\) | 6.49410 | − | 1.72024i | 0.282619 | − | 0.0748640i | ||||
\(529\) | −4.95954 | + | 21.7292i | −0.215632 | + | 0.944746i | ||||
\(530\) | −0.139817 | + | 1.86573i | −0.00607326 | + | 0.0810421i | ||||
\(531\) | 0.694261 | − | 0.0480456i | 0.0301284 | − | 0.00208500i | ||||
\(532\) | 3.37728 | + | 3.82283i | 0.146424 | + | 0.165741i | ||||
\(533\) | 17.6847 | − | 19.0596i | 0.766011 | − | 0.825564i | ||||
\(534\) | −1.37104 | + | 0.593528i | −0.0593307 | + | 0.0256845i | ||||
\(535\) | −0.298655 | − | 1.98144i | −0.0129120 | − | 0.0856653i | ||||
\(536\) | −2.93677 | + | 9.52077i | −0.126849 | + | 0.411235i | ||||
\(537\) | 28.2482 | − | 7.48277i | 1.21900 | − | 0.322906i | ||||
\(538\) | −2.98744 | − | 1.72480i | −0.128798 | − | 0.0743613i | ||||
\(539\) | −26.7333 | + | 4.74303i | −1.15148 | + | 0.204297i | ||||
\(540\) | −0.0338889 | − | 1.17471i | −0.00145835 | − | 0.0505515i | ||||
\(541\) | 28.5582 | − | 19.4706i | 1.22781 | − | 0.837108i | 0.236889 | − | 0.971537i | \(-0.423872\pi\) |
0.990923 | + | 0.134429i | \(0.0429200\pi\) | |||||||
\(542\) | 2.95218 | + | 12.9344i | 0.126807 | + | 0.555578i | ||||
\(543\) | 16.0375 | − | 18.5288i | 0.688237 | − | 0.795146i | ||||
\(544\) | −3.93275 | + | 0.897625i | −0.168615 | + | 0.0384853i | ||||
\(545\) | 1.74658 | − | 0.538748i | 0.0748152 | − | 0.0230774i | ||||
\(546\) | −2.43649 | − | 28.6146i | −0.104272 | − | 1.22459i | ||||
\(547\) | −11.3520 | − | 3.50163i | −0.485377 | − | 0.149719i | 0.0424024 | − | 0.999101i | \(-0.486499\pi\) |
−0.527779 | + | 0.849382i | \(0.676975\pi\) | |||||||
\(548\) | 1.09197 | + | 0.0818315i | 0.0466465 | + | 0.00349567i | ||||
\(549\) | −14.2664 | − | 18.1004i | −0.608876 | − | 0.772508i | ||||
\(550\) | 1.43445 | + | 19.1413i | 0.0611649 | + | 0.816189i | ||||
\(551\) | −11.3280 | − | 1.70742i | −0.482588 | − | 0.0727385i | ||||
\(552\) | 1.41065 | + | 0.382301i | 0.0600414 | + | 0.0162718i | ||||
\(553\) | 1.86945 | + | 37.0633i | 0.0794973 | + | 1.57609i | ||||
\(554\) | −16.2820 | + | 23.8813i | −0.691755 | + | 1.01462i | ||||
\(555\) | −1.13514 | − | 0.717779i | −0.0481838 | − | 0.0304680i | ||||
\(556\) | −3.85355 | − | 3.07310i | −0.163427 | − | 0.130329i | ||||
\(557\) | −29.8293 | + | 17.2219i | −1.26391 | + | 0.729717i | −0.973828 | − | 0.227286i | \(-0.927015\pi\) |
−0.290078 | + | 0.957003i | \(0.593681\pi\) | |||||||
\(558\) | 5.34677 | − | 2.06332i | 0.226347 | − | 0.0873474i | ||||
\(559\) | 52.6391 | + | 41.9783i | 2.22640 | + | 1.77549i | ||||
\(560\) | 0.0301438 | + | 0.597623i | 0.00127381 | + | 0.0252542i | ||||
\(561\) | −26.6130 | − | 5.11415i | −1.12360 | − | 0.215919i | ||||
\(562\) | −1.79899 | − | 2.25586i | −0.0758859 | − | 0.0951579i | ||||
\(563\) | −1.52199 | + | 20.3095i | −0.0641441 | + | 0.855944i | 0.868625 | + | 0.495470i | \(0.165004\pi\) |
−0.932769 | + | 0.360474i | \(0.882615\pi\) | |||||||
\(564\) | −13.0482 | + | 9.57266i | −0.549430 | + | 0.403082i | ||||
\(565\) | 3.82207 | + | 1.50005i | 0.160796 | + | 0.0631076i | ||||
\(566\) | 2.45640 | + | 3.08023i | 0.103250 | + | 0.129472i | ||||
\(567\) | −9.48754 | + | 21.8400i | −0.398439 | + | 0.917195i | ||||
\(568\) | 5.19232 | − | 6.51096i | 0.217865 | − | 0.273194i | ||||
\(569\) | −15.1763 | + | 8.76203i | −0.636223 | + | 0.367324i | −0.783158 | − | 0.621823i | \(-0.786393\pi\) |
0.146935 | + | 0.989146i | \(0.453059\pi\) | |||||||
\(570\) | 0.742489 | − | 0.138294i | 0.0310995 | − | 0.00579248i | ||||
\(571\) | −7.38798 | − | 18.8243i | −0.309177 | − | 0.787771i | −0.998022 | − | 0.0628623i | \(-0.979977\pi\) |
0.688845 | − | 0.724909i | \(-0.258118\pi\) | |||||||
\(572\) | 5.40881 | − | 23.6976i | 0.226154 | − | 0.990845i | ||||
\(573\) | 8.54860 | − | 19.4421i | 0.357123 | − | 0.812205i | ||||
\(574\) | 10.3130 | − | 3.75981i | 0.430455 | − | 0.156931i | ||||
\(575\) | −1.81187 | + | 3.76239i | −0.0755603 | + | 0.156903i | ||||
\(576\) | −0.900609 | + | 2.86163i | −0.0375254 | + | 0.119234i | ||||
\(577\) | 8.73281 | − | 0.654433i | 0.363551 | − | 0.0272444i | 0.108298 | − | 0.994119i | \(-0.465460\pi\) |
0.255254 | + | 0.966874i | \(0.417841\pi\) | |||||||
\(578\) | −0.709500 | − | 0.161939i | −0.0295113 | − | 0.00673576i | ||||
\(579\) | 3.50219 | + | 31.9006i | 0.145546 | + | 1.32574i | ||||
\(580\) | −0.914060 | − | 0.985123i | −0.0379543 | − | 0.0409050i | ||||
\(581\) | −17.6480 | + | 28.9141i | −0.732161 | + | 1.19956i | ||||
\(582\) | −0.724817 | + | 17.9968i | −0.0300446 | + | 0.745992i | ||||
\(583\) | 23.5209 | − | 21.8242i | 0.974135 | − | 0.903865i | ||||
\(584\) | −2.91366 | + | 7.42390i | −0.120568 | + | 0.307203i | ||||
\(585\) | −3.82037 | − | 1.86672i | −0.157953 | − | 0.0771795i | ||||
\(586\) | 8.15025 | + | 11.9542i | 0.336684 | + | 0.493825i | ||||
\(587\) | −12.5492 | + | 21.7358i | −0.517959 | + | 0.897132i | 0.481823 | + | 0.876268i | \(0.339975\pi\) |
−0.999782 | + | 0.0208631i | \(0.993359\pi\) | |||||||
\(588\) | 4.59000 | − | 11.2219i | 0.189289 | − | 0.462785i | ||||
\(589\) | 1.84158 | + | 3.18971i | 0.0758809 | + | 0.131430i | ||||
\(590\) | −0.0227637 | + | 0.0472693i | −0.000937166 | + | 0.00194605i | ||||
\(591\) | −42.4758 | + | 18.3879i | −1.74722 | + | 0.756379i | ||||
\(592\) | 2.13760 | + | 2.68046i | 0.0878546 | + | 0.110166i | ||||
\(593\) | −31.7479 | − | 9.79294i | −1.30373 | − | 0.402148i | −0.436343 | − | 0.899780i | \(-0.643727\pi\) |
−0.867388 | + | 0.497632i | \(0.834203\pi\) | |||||||
\(594\) | −13.2766 | + | 15.1633i | −0.544746 | + | 0.622156i | ||||
\(595\) | 0.936428 | − | 2.22476i | 0.0383898 | − | 0.0912065i | ||||
\(596\) | −0.219660 | + | 0.712120i | −0.00899762 | + | 0.0291696i | ||||
\(597\) | −12.7356 | + | 28.9645i | −0.521232 | + | 1.18544i | ||||
\(598\) | 3.59680 | − | 3.87643i | 0.147084 | − | 0.158519i | ||||
\(599\) | 15.1066 | + | 22.1573i | 0.617239 | + | 0.905323i | 0.999827 | − | 0.0185959i | \(-0.00591959\pi\) |
−0.382588 | + | 0.923919i | \(0.624967\pi\) | |||||||
\(600\) | −7.56688 | − | 4.02687i | −0.308916 | − | 0.164396i | ||||
\(601\) | −18.7702 | − | 27.5308i | −0.765651 | − | 1.12300i | −0.988949 | − | 0.148254i | \(-0.952635\pi\) |
0.223298 | − | 0.974750i | \(-0.428318\pi\) | |||||||
\(602\) | 11.7045 | + | 25.9032i | 0.477040 | + | 1.05574i | ||||
\(603\) | −8.64718 | − | 28.6121i | −0.352140 | − | 1.16518i | ||||
\(604\) | −6.22322 | − | 5.77431i | −0.253219 | − | 0.234953i | ||||
\(605\) | −0.570282 | + | 0.715111i | −0.0231853 | + | 0.0290734i | ||||
\(606\) | 0.673657 | − | 0.576392i | 0.0273654 | − | 0.0234143i | ||||
\(607\) | − | 25.1643i | − | 1.02139i | −0.859763 | − | 0.510693i | \(-0.829389\pi\) | ||
0.859763 | − | 0.510693i | \(-0.170611\pi\) | |||||||
\(608\) | −1.90646 | − | 0.287352i | −0.0773170 | − | 0.0116537i | ||||
\(609\) | 8.28947 | + | 25.9367i | 0.335906 | + | 1.05101i | ||||
\(610\) | 1.71807 | − | 0.258958i | 0.0695628 | − | 0.0104849i | ||||
\(611\) | 8.72684 | + | 57.8988i | 0.353050 | + | 2.34233i | ||||
\(612\) | 8.28171 | − | 8.82404i | 0.334768 | − | 0.356690i | ||||
\(613\) | −14.2051 | − | 9.68490i | −0.573740 | − | 0.391170i | 0.241406 | − | 0.970424i | \(-0.422391\pi\) |
−0.815147 | + | 0.579255i | \(0.803344\pi\) | |||||||
\(614\) | −10.6375 | + | 27.1040i | −0.429296 | + | 1.09383i | ||||
\(615\) | 0.306710 | − | 1.59606i | 0.0123677 | − | 0.0643593i | ||||
\(616\) | 6.59214 | − | 7.86467i | 0.265605 | − | 0.316876i | ||||
\(617\) | −2.20719 | + | 14.6437i | −0.0888580 | + | 0.589534i | 0.899445 | + | 0.437033i | \(0.143971\pi\) |
−0.988303 | + | 0.152501i | \(0.951267\pi\) | |||||||
\(618\) | −18.9109 | − | 22.1020i | −0.760706 | − | 0.889075i | ||||
\(619\) | − | 36.2862i | − | 1.45846i | −0.684267 | − | 0.729232i | \(-0.739878\pi\) | ||
0.684267 | − | 0.729232i | \(-0.260122\pi\) | |||||||
\(620\) | −0.0643954 | + | 0.427235i | −0.00258618 | + | 0.0171582i | ||||
\(621\) | −4.15081 | + | 1.41267i | −0.166566 | + | 0.0566886i | ||||
\(622\) | 7.63003 | + | 15.8439i | 0.305936 | + | 0.635283i | ||||
\(623\) | −1.18894 | + | 1.94794i | −0.0476340 | + | 0.0780426i | ||||
\(624\) | 7.65332 | + | 7.69711i | 0.306378 | + | 0.308131i | ||||
\(625\) | 15.1105 | − | 18.9480i | 0.604420 | − | 0.757918i | ||||
\(626\) | 2.36525 | − | 1.61260i | 0.0945345 | − | 0.0644525i | ||||
\(627\) | −10.9474 | − | 6.92235i | −0.437197 | − | 0.276452i | ||||
\(628\) | −9.21531 | + | 13.5164i | −0.367731 | + | 0.539362i | ||||
\(629\) | −3.07745 | − | 13.4832i | −0.122706 | − | 0.537610i | ||||
\(630\) | −1.07650 | − | 1.43656i | −0.0428887 | − | 0.0572340i | ||||
\(631\) | 5.91159 | − | 25.9004i | 0.235337 | − | 1.03108i | −0.709801 | − | 0.704403i | \(-0.751215\pi\) |
0.945137 | − | 0.326674i | \(-0.105928\pi\) | |||||||
\(632\) | −9.54040 | − | 10.2821i | −0.379497 | − | 0.409000i | ||||
\(633\) | 5.51191 | − | 28.6829i | 0.219079 | − | 1.14004i | ||||
\(634\) | 11.2488 | + | 3.46980i | 0.446748 | + | 0.137803i | ||||
\(635\) | 2.36822 | + | 1.14047i | 0.0939799 | + | 0.0452583i | ||||
\(636\) | 2.62362 | + | 14.0861i | 0.104033 | + | 0.558549i | ||||
\(637\) | −28.2332 | − | 33.5747i | −1.11864 | − | 1.33028i | ||||
\(638\) | 23.0468i | 0.912430i | ||||||||
\(639\) | −2.00915 | + | 24.9026i | −0.0794807 | + | 0.985131i | ||||
\(640\) | −0.153833 | − | 0.165792i | −0.00608078 | − | 0.00655352i | ||||
\(641\) | −18.4685 | + | 14.7282i | −0.729463 | + | 0.581727i | −0.916218 | − | 0.400679i | \(-0.868774\pi\) |
0.186756 | + | 0.982406i | \(0.440203\pi\) | |||||||
\(642\) | −6.09652 | − | 14.0829i | −0.240610 | − | 0.555806i | ||||
\(643\) | 7.41142 | + | 24.0272i | 0.292278 | + | 0.947542i | 0.975995 | + | 0.217794i | \(0.0698862\pi\) |
−0.683717 | + | 0.729747i | \(0.739638\pi\) | |||||||
\(644\) | 2.09750 | − | 0.764685i | 0.0826529 | − | 0.0301328i | ||||
\(645\) | 4.18079 | + | 0.483146i | 0.164619 | + | 0.0190238i | ||||
\(646\) | 6.42591 | + | 4.38111i | 0.252824 | + | 0.172372i | ||||
\(647\) | 30.6681 | − | 9.45984i | 1.20569 | − | 0.371905i | 0.374146 | − | 0.927370i | \(-0.377936\pi\) |
0.831540 | + | 0.555465i | \(0.187460\pi\) | |||||||
\(648\) | −2.55448 | − | 8.62987i | −0.100349 | − | 0.339013i | ||||
\(649\) | 0.837557 | − | 0.328717i | 0.0328770 | − | 0.0129033i | ||||
\(650\) | −25.6246 | + | 17.4705i | −1.00508 | + | 0.685251i | ||||
\(651\) | 4.85789 | − | 7.28285i | 0.190396 | − | 0.285437i | ||||
\(652\) | 0.0467126 | + | 0.0318481i | 0.00182941 | + | 0.00124727i | ||||
\(653\) | 1.02773 | + | 0.234572i | 0.0402180 | + | 0.00917950i | 0.242583 | − | 0.970131i | \(-0.422005\pi\) |
−0.202365 | + | 0.979310i | \(0.564863\pi\) | |||||||
\(654\) | 11.8733 | − | 7.41335i | 0.464285 | − | 0.289885i | ||||
\(655\) | −4.32999 | −0.169187 | ||||||||
\(656\) | −2.07445 | + | 3.59305i | −0.0809936 | + | 0.140285i | ||||
\(657\) | −5.19076 | − | 23.3557i | −0.202511 | − | 0.911193i | ||||
\(658\) | −7.86059 | + | 23.4370i | −0.306438 | + | 0.913670i | ||||
\(659\) | 2.93217 | + | 19.4537i | 0.114221 | + | 0.757807i | 0.970466 | + | 0.241237i | \(0.0775531\pi\) |
−0.856245 | + | 0.516570i | \(0.827209\pi\) | |||||||
\(660\) | −0.497736 | − | 1.43557i | −0.0193743 | − | 0.0558796i | ||||
\(661\) | 29.4601 | + | 2.20773i | 1.14586 | + | 0.0858706i | 0.634097 | − | 0.773254i | \(-0.281372\pi\) |
0.511767 | + | 0.859124i | \(0.328991\pi\) | |||||||
\(662\) | −4.62919 | − | 0.346910i | −0.179919 | − | 0.0134830i | ||||
\(663\) | −14.3435 | − | 41.3696i | −0.557055 | − | 1.60666i | ||||
\(664\) | −1.90823 | − | 12.6603i | −0.0740538 | − | 0.491315i | ||||
\(665\) | 0.805102 | − | 0.826306i | 0.0312205 | − | 0.0320428i | ||||
\(666\) | −9.81090 | − | 3.08768i | −0.380165 | − | 0.119645i | ||||
\(667\) | −2.50695 | + | 4.34216i | −0.0970695 | + | 0.168129i | ||||
\(668\) | 2.23928 | 0.0866403 | ||||||||
\(669\) | −6.59725 | + | 4.11912i | −0.255065 | + | 0.159254i | ||||
\(670\) | 2.19690 | + | 0.501429i | 0.0848738 | + | 0.0193719i | ||||
\(671\) | −24.6195 | − | 16.7853i | −0.950426 | − | 0.647990i | ||||
\(672\) | 1.39509 | + | 4.36506i | 0.0538167 | + | 0.168386i | ||||
\(673\) | 18.0576 | − | 12.3115i | 0.696069 | − | 0.474572i | −0.162872 | − | 0.986647i | \(-0.552076\pi\) |
0.858940 | + | 0.512076i | \(0.171123\pi\) | |||||||
\(674\) | −0.877884 | + | 0.344544i | −0.0338148 | + | 0.0132713i | ||||
\(675\) | 25.5770 | − | 2.66035i | 0.984459 | − | 0.102397i | ||||
\(676\) | 25.1057 | − | 7.74409i | 0.965604 | − | 0.297850i | ||||
\(677\) | 34.3354 | + | 23.4095i | 1.31962 | + | 0.899699i | 0.998873 | − | 0.0474669i | \(-0.0151149\pi\) |
0.320744 | + | 0.947166i | \(0.396067\pi\) | |||||||
\(678\) | 31.2361 | + | 3.60975i | 1.19962 | + | 0.138631i | ||||
\(679\) | 14.9393 | + | 23.1036i | 0.573316 | + | 0.886635i | ||||
\(680\) | 0.268915 | + | 0.871802i | 0.0103124 | + | 0.0334321i | ||||
\(681\) | 4.04176 | + | 9.33639i | 0.154880 | + | 0.357771i | ||||
\(682\) | 5.79312 | − | 4.61986i | 0.221830 | − | 0.176904i | ||||
\(683\) | −19.5685 | − | 21.0898i | −0.748766 | − | 0.806978i | 0.237631 | − | 0.971355i | \(-0.423629\pi\) |
−0.986398 | + | 0.164377i | \(0.947439\pi\) | |||||||
\(684\) | 5.22542 | − | 2.47980i | 0.199799 | − | 0.0948174i | ||||
\(685\) | − | 0.247660i | − | 0.00946259i | ||||||
\(686\) | −4.14986 | − | 18.0493i | −0.158442 | − | 0.689127i | ||||
\(687\) | −2.52126 | − | 13.5365i | −0.0961922 | − | 0.516450i | ||||
\(688\) | −9.67962 | − | 4.66146i | −0.369032 | − | 0.177717i | ||||
\(689\) | 49.5387 | + | 15.2807i | 1.88728 | + | 0.582147i | ||||
\(690\) | 0.0623800 | − | 0.324613i | 0.00237477 | − | 0.0123578i | ||||
\(691\) | 16.9227 | + | 18.2383i | 0.643770 | + | 0.693819i | 0.967655 | − | 0.252277i | \(-0.0811795\pi\) |
−0.323885 | + | 0.946097i | \(0.604989\pi\) | |||||||
\(692\) | 4.80633 | − | 21.0579i | 0.182709 | − | 0.800502i | ||||
\(693\) | −3.22382 | + | 30.6168i | −0.122463 | + | 1.16304i | ||||
\(694\) | −4.38128 | − | 19.1956i | −0.166311 | − | 0.728656i | ||||
\(695\) | −0.627961 | + | 0.921050i | −0.0238199 | + | 0.0349374i | ||||
\(696\) | −8.69855 | − | 5.50034i | −0.329718 | − | 0.208490i | ||||
\(697\) | 13.8281 | − | 9.42783i | 0.523776 | − | 0.357105i | ||||
\(698\) | 0.140400 | − | 0.176056i | 0.00531423 | − | 0.00666383i | ||||
\(699\) | −14.5648 | − | 14.6482i | −0.550892 | − | 0.554044i | ||||
\(700\) | −12.9909 | + | 1.63497i | −0.491011 | + | 0.0617962i | ||||
\(701\) | 8.85284 | + | 18.3831i | 0.334367 | + | 0.694320i | 0.998583 | − | 0.0532205i | \(-0.0169486\pi\) |
−0.664216 | + | 0.747541i | \(0.731234\pi\) | |||||||
\(702\) | −31.9426 | − | 6.32753i | −1.20560 | − | 0.238817i | ||||
\(703\) | 0.985169 | − | 6.53617i | 0.0371563 | − | 0.246516i | ||||
\(704\) | 3.87868i | 0.146183i | ||||||||
\(705\) | 2.37950 | + | 2.78104i | 0.0896173 | + | 0.104740i | ||||
\(706\) | 4.29908 | − | 28.5226i | 0.161798 | − | 1.07346i | ||||
\(707\) | 0.333485 | − | 1.31259i | 0.0125420 | − | 0.0493649i | ||||
\(708\) | −0.0758236 | + | 0.394571i | −0.00284963 | + | 0.0148289i | ||||
\(709\) | −2.70848 | + | 6.90110i | −0.101719 | + | 0.259176i | −0.972669 | − | 0.232195i | \(-0.925409\pi\) |
0.870950 | + | 0.491372i | \(0.163504\pi\) | |||||||
\(710\) | −1.55621 | − | 1.06100i | −0.0584034 | − | 0.0398188i | ||||
\(711\) | 40.9702 | + | 9.59746i | 1.53650 | + | 0.359933i | ||||
\(712\) | −0.128558 | − | 0.852925i | −0.00481791 | − | 0.0319647i | ||||
\(713\) | 1.59400 | − | 0.240256i | 0.0596956 | − | 0.00899767i | ||||
\(714\) | 2.56958 | − | 18.3061i | 0.0961640 | − | 0.685090i | ||||
\(715\) | −5.43605 | − | 0.819352i | −0.203297 | − | 0.0306420i | ||||
\(716\) | 16.8716i | 0.630522i | ||||||||
\(717\) | −28.2722 | + | 24.1902i | −1.05585 | + | 0.903398i | ||||
\(718\) | −1.73741 | + | 2.17864i | −0.0648394 | + | 0.0813061i | ||||
\(719\) | −24.6535 | − | 22.8751i | −0.919420 | − | 0.853097i | 0.0700933 | − | 0.997540i | \(-0.477670\pi\) |
−0.989513 | + | 0.144444i | \(0.953861\pi\) | |||||||
\(720\) | 0.660619 | + | 0.154753i | 0.0246198 | + | 0.00576731i | ||||
\(721\) | −43.0647 | − | 10.9413i | −1.60381 | − | 0.407476i | ||||
\(722\) | −8.60914 | − | 12.6273i | −0.320399 | − | 0.469939i | ||||
\(723\) | −1.33432 | − | 0.710089i | −0.0496241 | − | 0.0264085i | ||||
\(724\) | 7.96999 | + | 11.6898i | 0.296202 | + | 0.434449i | ||||
\(725\) | 20.0009 | − | 21.5558i | 0.742814 | − | 0.800563i | ||||
\(726\) | −2.81944 | + | 6.41225i | −0.104639 | + | 0.237981i | ||||
\(727\) | −12.0527 | + | 39.0740i | −0.447011 | + | 1.44917i | 0.399465 | + | 0.916748i | \(0.369196\pi\) |
−0.846476 | + | 0.532426i | \(0.821280\pi\) | |||||||
\(728\) | 16.3301 | + | 2.87050i | 0.605232 | + | 0.106388i | ||||
\(729\) | 20.8182 | + | 17.1931i | 0.771044 | + | 0.636781i | ||||
\(730\) | 1.72359 | + | 0.531658i | 0.0637931 | + | 0.0196776i | ||||
\(731\) | 27.0210 | + | 33.8833i | 0.999409 | + | 1.25322i | ||||
\(732\) | 12.2110 | − | 5.28618i | 0.451331 | − | 0.195383i | ||||
\(733\) | 5.31697 | − | 11.0408i | 0.196387 | − | 0.407801i | −0.779400 | − | 0.626527i | \(-0.784476\pi\) |
0.975786 | + | 0.218726i | \(0.0701901\pi\) | |||||||
\(734\) | 3.29311 | + | 5.70383i | 0.121551 | + | 0.210532i | ||||
\(735\) | −2.60852 | − | 0.845539i | −0.0962166 | − | 0.0311882i | ||||
\(736\) | −0.421910 | + | 0.730770i | −0.0155518 | + | 0.0269365i | ||||
\(737\) | −21.7695 | − | 31.9299i | −0.801888 | − | 1.17615i | ||||
\(738\) | −0.859304 | − | 12.4170i | −0.0316314 | − | 0.457076i | ||||
\(739\) | −8.27647 | + | 21.0881i | −0.304455 | + | 0.775738i | 0.693990 | + | 0.719985i | \(0.255851\pi\) |
−0.998445 | + | 0.0557533i | \(0.982244\pi\) | |||||||
\(740\) | 0.568409 | − | 0.527407i | 0.0208951 | − | 0.0193878i | ||||
\(741\) | 0.842157 | − | 20.9103i | 0.0309374 | − | 0.768159i | ||||
\(742\) | 15.6762 | + | 15.2739i | 0.575491 | + | 0.560723i | ||||
\(743\) | 26.0439 | + | 28.0687i | 0.955458 | + | 1.02974i | 0.999528 | + | 0.0307107i | \(0.00977707\pi\) |
−0.0440700 | + | 0.999028i | \(0.514032\pi\) | |||||||
\(744\) | 0.361090 | + | 3.28908i | 0.0132382 | + | 0.120583i | ||||
\(745\) | 0.164321 | + | 0.0375051i | 0.00602024 | + | 0.00137408i | ||||
\(746\) | 23.7382 | − | 1.77894i | 0.869119 | − | 0.0651314i | ||||
\(747\) | 25.9643 | + | 28.3051i | 0.949984 | + | 1.03563i | ||||
\(748\) | 6.78862 | − | 14.0967i | 0.248217 | − | 0.515427i | ||||
\(749\) | −20.0086 | − | 12.2124i | −0.731098 | − | 0.446232i | ||||
\(750\) | −1.56868 | + | 3.56765i | −0.0572802 | + | 0.130272i | ||||
\(751\) | 6.94093 | − | 30.4102i | 0.253278 | − | 1.10968i | −0.675006 | − | 0.737812i | \(-0.735859\pi\) |
0.928284 | − | 0.371872i | \(-0.121284\pi\) | |||||||
\(752\) | −3.41349 | − | 8.69744i | −0.124477 | − | 0.317163i | ||||
\(753\) | 43.3842 | − | 8.08058i | 1.58101 | − | 0.294473i | ||||
\(754\) | −32.2480 | + | 18.6184i | −1.17440 | + | 0.678042i | ||||
\(755\) | −1.19713 | + | 1.50115i | −0.0435679 | + | 0.0546324i | ||||
\(756\) | −10.7863 | − | 8.52379i | −0.392295 | − | 0.310007i | ||||
\(757\) | 5.77366 | + | 7.23994i | 0.209847 | + | 0.263140i | 0.875605 | − | 0.483028i | \(-0.160463\pi\) |
−0.665758 | + | 0.746168i | \(0.731892\pi\) | |||||||
\(758\) | −24.9025 | − | 9.77351i | −0.904500 | − | 0.354990i | ||||
\(759\) | −4.57073 | + | 3.35325i | −0.165907 | + | 0.121715i | ||||
\(760\) | −0.0325860 | + | 0.434830i | −0.00118202 | + | 0.0157729i | ||||
\(761\) | −19.2997 | − | 24.2011i | −0.699615 | − | 0.877289i | 0.297380 | − | 0.954759i | \(-0.403887\pi\) |
−0.996995 | + | 0.0774703i | \(0.975316\pi\) | |||||||
\(762\) | 19.7682 | + | 3.79881i | 0.716128 | + | 0.137616i | ||||
\(763\) | 8.29497 | − | 19.7072i | 0.300298 | − | 0.713448i | ||||
\(764\) | 9.58685 | + | 7.64526i | 0.346840 | + | 0.276596i | ||||
\(765\) | −2.13010 | − | 1.71868i | −0.0770140 | − | 0.0621389i | ||||
\(766\) | −23.9876 | + | 13.8493i | −0.866708 | + | 0.500394i | ||||
\(767\) | 1.13658 | + | 0.906391i | 0.0410394 | + | 0.0327279i | ||||
\(768\) | −1.46393 | − | 0.925687i | −0.0528252 | − | 0.0334029i | ||||
\(769\) | −12.7786 | + | 18.7428i | −0.460809 | + | 0.675883i | −0.984371 | − | 0.176104i | \(-0.943650\pi\) |
0.523562 | + | 0.851987i | \(0.324603\pi\) | |||||||
\(770\) | −1.88518 | − | 1.35383i | −0.0679370 | − | 0.0487888i | ||||
\(771\) | −6.29952 | − | 1.70723i | −0.226872 | − | 0.0614844i | ||||
\(772\) | −18.3215 | − | 2.76152i | −0.659406 | − | 0.0993894i | ||||
\(773\) | −1.27686 | − | 17.0385i | −0.0459254 | − | 0.612832i | −0.971922 | − | 0.235302i | \(-0.924392\pi\) |
0.925997 | − | 0.377531i | \(-0.123227\pi\) | |||||||
\(774\) | 31.8976 | − | 4.62180i | 1.14654 | − | 0.166127i | ||||
\(775\) | −9.42765 | − | 0.706504i | −0.338651 | − | 0.0253784i | ||||
\(776\) | −9.93690 | − | 3.06513i | −0.356714 | − | 0.110032i | ||||
\(777\) | −14.9653 | + | 4.78297i | −0.536878 | + | 0.171588i | ||||
\(778\) | 13.0574 | − | 4.02767i | 0.468130 | − | 0.144399i | ||||
\(779\) | 7.79849 | − | 1.77995i | 0.279410 | − | 0.0637734i | ||||
\(780\) | 1.60662 | − | 1.85618i | 0.0575261 | − | 0.0664621i | ||||
\(781\) | 7.18765 | + | 31.4912i | 0.257194 | + | 1.12684i | ||||
\(782\) | 2.81242 | − | 1.91747i | 0.100572 | − | 0.0685687i | ||||
\(783\) | 30.8622 | − | 0.890335i | 1.10292 | − | 0.0318180i | ||||
\(784\) | 5.58441 | + | 4.22071i | 0.199443 | + | 0.150740i | ||||
\(785\) | 3.20417 | + | 1.84993i | 0.114362 | + | 0.0660267i | ||||
\(786\) | −32.0547 | + | 8.49108i | −1.14335 | + | 0.302867i | ||||
\(787\) | 6.56209 | − | 21.2738i | 0.233913 | − | 0.758328i | −0.760172 | − | 0.649722i | \(-0.774885\pi\) |
0.994085 | − | 0.108606i | \(-0.0346386\pi\) | |||||||
\(788\) | −3.98282 | − | 26.4243i | −0.141882 | − | 0.941325i | ||||
\(789\) | −12.6174 | + | 5.46214i | −0.449193 | + | 0.194457i | ||||
\(790\) | −2.15773 | + | 2.32548i | −0.0767685 | + | 0.0827368i | ||||
\(791\) | 42.1701 | − | 22.9936i | 1.49940 | − | 0.817559i | ||||
\(792\) | −6.49985 | − | 9.65140i | −0.230962 | − | 0.342948i | ||||
\(793\) | 3.59776 | − | 48.0088i | 0.127760 | − | 1.70484i | ||||
\(794\) | −8.15150 | + | 35.7140i | −0.289286 | + | 1.26744i | ||||
\(795\) | 3.13256 | − | 0.829794i | 0.111100 | − | 0.0294298i | ||||
\(796\) | −14.2823 | − | 11.3898i | −0.506224 | − | 0.403700i | ||||
\(797\) | 0.993820 | + | 13.2616i | 0.0352029 | + | 0.469750i | 0.986750 | + | 0.162248i | \(0.0518743\pi\) |
−0.951547 | + | 0.307503i | \(0.900507\pi\) | |||||||
\(798\) | 4.33974 | − | 7.69589i | 0.153625 | − | 0.272432i | ||||
\(799\) | −2.81657 | + | 37.5845i | −0.0996430 | + | 1.32964i | ||||
\(800\) | 3.36607 | − | 3.62776i | 0.119009 | − | 0.128261i | ||||
\(801\) | 1.74922 | + | 1.90691i | 0.0618055 | + | 0.0673775i | ||||
\(802\) | 5.79873 | + | 10.0437i | 0.204760 | + | 0.354655i | ||||
\(803\) | −15.4666 | − | 26.7890i | −0.545805 | − | 0.945362i | ||||
\(804\) | 17.2468 | − | 0.596061i | 0.608249 | − | 0.0210215i | ||||
\(805\) | −0.207914 | − | 0.460134i | −0.00732801 | − | 0.0162176i | ||||
\(806\) | 11.1443 | + | 4.37382i | 0.392541 | + | 0.154061i | ||||
\(807\) | −1.12754 | + | 5.86752i | −0.0396914 | + | 0.206546i | ||||
\(808\) | 0.222093 | + | 0.461181i | 0.00781321 | + | 0.0162243i | ||||
\(809\) | 19.8224 | − | 29.0742i | 0.696919 | − | 1.02219i | −0.300733 | − | 0.953708i | \(-0.597231\pi\) |
0.997652 | − | 0.0684845i | \(-0.0218164\pi\) | |||||||
\(810\) | −1.90316 | + | 0.721982i | −0.0668703 | + | 0.0253679i | ||||
\(811\) | −23.3608 | + | 18.6296i | −0.820309 | + | 0.654175i | −0.940959 | − | 0.338521i | \(-0.890074\pi\) |
0.120650 | + | 0.992695i | \(0.461502\pi\) | |||||||
\(812\) | −15.7008 | + | 0.791942i | −0.550991 | + | 0.0277917i | ||||
\(813\) | 19.4918 | − | 12.1701i | 0.683606 | − | 0.426822i | ||||
\(814\) | −13.2978 | −0.466088 | ||||||||
\(815\) | 0.00639335 | − | 0.0110736i | 0.000223949 | − | 0.000387892i | ||||
\(816\) | 3.70036 | + | 5.92656i | 0.129539 | + | 0.207471i | ||||
\(817\) | 6.10542 | + | 19.7933i | 0.213601 | + | 0.692479i | ||||
\(818\) | −8.09676 | + | 3.89919i | −0.283096 | + | 0.136332i | ||||
\(819\) | −45.4448 | + | 20.2230i | −1.58797 | + | 0.706649i | ||||
\(820\) | 0.845420 | + | 0.407133i | 0.0295234 | + | 0.0142177i | ||||
\(821\) | 3.27841 | − | 21.7508i | 0.114417 | − | 0.759109i | −0.855877 | − | 0.517180i | \(-0.826982\pi\) |
0.970294 | − | 0.241929i | \(-0.0777802\pi\) | |||||||
\(822\) | −0.485659 | − | 1.83341i | −0.0169393 | − | 0.0639475i | ||||
\(823\) | −16.9229 | − | 15.7022i | −0.589896 | − | 0.547343i | 0.327739 | − | 0.944768i | \(-0.393713\pi\) |
−0.917635 | + | 0.397425i | \(0.869904\pi\) | |||||||
\(824\) | 15.1309 | − | 7.28667i | 0.527111 | − | 0.253843i | ||||
\(825\) | 30.5105 | − | 13.2081i | 1.06224 | − | 0.459847i | ||||
\(826\) | 0.252722 | + | 0.559299i | 0.00879333 | + | 0.0194605i | ||||
\(827\) | −22.8161 | − | 5.20762i | −0.793392 | − | 0.181087i | −0.193429 | − | 0.981114i | \(-0.561961\pi\) |
−0.599963 | + | 0.800028i | \(0.704818\pi\) | |||||||
\(828\) | −0.174769 | − | 2.52542i | −0.00607364 | − | 0.0877645i | ||||
\(829\) | −29.0104 | − | 11.3857i | −1.00757 | − | 0.395443i | −0.196572 | − | 0.980489i | \(-0.562981\pi\) |
−0.811000 | + | 0.585047i | \(0.801076\pi\) | |||||||
\(830\) | −2.82309 | + | 0.644352i | −0.0979909 | + | 0.0223658i | ||||
\(831\) | 48.3195 | + | 13.0950i | 1.67619 | + | 0.454262i | ||||
\(832\) | −5.42722 | + | 3.13341i | −0.188155 | + | 0.108631i | ||||
\(833\) | −12.9088 | − | 25.1138i | −0.447262 | − | 0.870143i | ||||
\(834\) | −2.84259 | + | 8.04991i | −0.0984308 | + | 0.278746i | ||||
\(835\) | −0.0378472 | − | 0.505036i | −0.00130976 | − | 0.0174775i | ||||
\(836\) | 5.48181 | − | 5.08638i | 0.189592 | − | 0.175916i | ||||
\(837\) | −6.41031 | − | 7.57917i | −0.221573 | − | 0.261974i | ||||
\(838\) | −1.05581 | + | 3.42286i | −0.0364724 | + | 0.118241i | ||||
\(839\) | −24.4225 | − | 22.6608i | −0.843159 | − | 0.782337i | 0.134858 | − | 0.990865i | \(-0.456942\pi\) |
−0.978016 | + | 0.208528i | \(0.933133\pi\) | |||||||
\(840\) | 0.960894 | − | 0.388417i | 0.0331540 | − | 0.0134017i | ||||
\(841\) | 4.62278 | − | 4.28931i | 0.159406 | − | 0.147907i | ||||
\(842\) | −0.491637 | − | 1.02090i | −0.0169429 | − | 0.0351824i | ||||
\(843\) | −2.67094 | + | 4.22398i | −0.0919920 | + | 0.145481i | ||||
\(844\) | 15.1931 | + | 7.31662i | 0.522968 | + | 0.251848i | ||||
\(845\) | −2.17089 | − | 5.53133i | −0.0746808 | − | 0.190284i | ||||
\(846\) | 23.0689 | + | 15.9217i | 0.793127 | + | 0.547400i | ||||
\(847\) | 2.12570 | + | 10.4866i | 0.0730400 | + | 0.360324i | ||||
\(848\) | −8.24932 | − | 0.618201i | −0.283283 | − | 0.0212291i | ||||
\(849\) | 3.64699 | − | 5.76756i | 0.125164 | − | 0.197942i | ||||
\(850\) | −18.5831 | + | 7.29334i | −0.637396 | + | 0.250159i | ||||
\(851\) | −2.50540 | − | 1.44649i | −0.0858840 | − | 0.0495851i | ||||
\(852\) | −13.6011 | − | 4.80285i | −0.465967 | − | 0.164543i | ||||
\(853\) | 45.9761 | − | 18.0443i | 1.57419 | − | 0.617825i | 0.592039 | − | 0.805910i | \(-0.298323\pi\) |
0.982153 | + | 0.188085i | \(0.0602281\pi\) | |||||||
\(854\) | 10.5892 | − | 17.3491i | 0.362354 | − | 0.593674i | ||||
\(855\) | −0.647598 | − | 1.13660i | −0.0221474 | − | 0.0388710i | ||||
\(856\) | 8.76096 | − | 1.32050i | 0.299443 | − | 0.0451338i | ||||
\(857\) | 6.85974 | − | 3.30348i | 0.234324 | − | 0.112845i | −0.313037 | − | 0.949741i | \(-0.601347\pi\) |
0.547362 | + | 0.836896i | \(0.315632\pi\) | |||||||
\(858\) | −41.8495 | + | 4.59443i | −1.42872 | + | 0.156851i | ||||
\(859\) | −33.3472 | + | 26.5935i | −1.13779 | + | 0.907359i | −0.996581 | − | 0.0826206i | \(-0.973671\pi\) |
−0.141211 | + | 0.989980i | \(0.545100\pi\) | |||||||
\(860\) | −0.887723 | + | 2.26188i | −0.0302711 | + | 0.0771295i | ||||
\(861\) | −12.0044 | − | 14.7437i | −0.409107 | − | 0.502463i | ||||
\(862\) | −14.8894 | − | 37.9377i | −0.507136 | − | 1.29216i | ||||
\(863\) | 40.5312 | + | 23.4007i | 1.37970 | + | 0.796569i | 0.992123 | − | 0.125269i | \(-0.0399793\pi\) |
0.387576 | + | 0.921838i | \(0.373313\pi\) | |||||||
\(864\) | 5.19399 | − | 0.149840i | 0.176703 | − | 0.00509766i | ||||
\(865\) | −4.83053 | − | 0.728086i | −0.164243 | − | 0.0247557i | ||||
\(866\) | −10.6765 | + | 3.29326i | −0.362802 | + | 0.111910i | ||||
\(867\) | 0.137556 | + | 1.25296i | 0.00467165 | + | 0.0425529i | ||||
\(868\) | 3.34639 | + | 3.78787i | 0.113584 | + | 0.128569i | ||||
\(869\) | 54.2520 | − | 4.06562i | 1.84037 | − | 0.137917i | ||||
\(870\) | −1.09350 | + | 2.05479i | −0.0370732 | + | 0.0696640i | ||||
\(871\) | 27.0912 | − | 56.2555i | 0.917951 | − | 1.90614i | ||||
\(872\) | 2.38208 | + | 7.72251i | 0.0806673 | + | 0.261517i | ||||
\(873\) | 29.8627 | − | 9.02513i | 1.01070 | − | 0.305454i | ||||
\(874\) | 1.58609 | − | 0.362014i | 0.0536503 | − | 0.0122453i | ||||
\(875\) | 1.18270 | + | 5.83456i | 0.0399826 | + | 0.197244i | ||||
\(876\) | 13.8022 | + | 0.555882i | 0.466335 | + | 0.0187815i | ||||
\(877\) | −4.13792 | − | 18.1294i | −0.139728 | − | 0.612187i | −0.995494 | − | 0.0948245i | \(-0.969771\pi\) |
0.855766 | − | 0.517363i | \(-0.173086\pi\) | |||||||
\(878\) | 21.3390 | − | 3.21634i | 0.720156 | − | 0.108546i | ||||
\(879\) | 14.9384 | − | 20.1205i | 0.503861 | − | 0.678647i | ||||
\(880\) | 0.874779 | − | 0.0655556i | 0.0294888 | − | 0.00220988i | ||||
\(881\) | −18.5371 | −0.624532 | −0.312266 | − | 0.949995i | \(-0.601088\pi\) | ||||
−0.312266 | + | 0.949995i | \(0.601088\pi\) | |||||||
\(882\) | −20.9688 | − | 1.14419i | −0.706056 | − | 0.0385269i | ||||
\(883\) | 50.8498 | 1.71123 | 0.855617 | − | 0.517610i | \(-0.173178\pi\) | ||||
0.855617 | + | 0.517610i | \(0.173178\pi\) | |||||||
\(884\) | 25.2089 | − | 1.88915i | 0.847868 | − | 0.0635389i | ||||
\(885\) | 0.0902712 | + | 0.0104320i | 0.00303443 | + | 0.000350669i | ||||
\(886\) | −15.1243 | + | 2.27962i | −0.508111 | + | 0.0765854i | ||||
\(887\) | 4.01372 | + | 17.5852i | 0.134767 | + | 0.590455i | 0.996537 | + | 0.0831544i | \(0.0264995\pi\) |
−0.861769 | + | 0.507301i | \(0.830643\pi\) | |||||||
\(888\) | 3.17366 | − | 5.01901i | 0.106501 | − | 0.168427i | ||||
\(889\) | 28.0212 | − | 12.6615i | 0.939800 | − | 0.424654i | ||||
\(890\) | −0.190192 | + | 0.0434100i | −0.00637524 | + | 0.00145511i | ||||
\(891\) | 32.3474 | + | 13.1234i | 1.08368 | + | 0.439650i | ||||
\(892\) | −1.32357 | − | 4.29090i | −0.0443163 | − | 0.143670i | ||||
\(893\) | −7.81590 | + | 16.2299i | −0.261549 | + | 0.543113i | ||||
\(894\) | 1.29000 | − | 0.0445833i | 0.0431442 | − | 0.00149109i | ||||
\(895\) | 3.80514 | − | 0.285156i | 0.127192 | − | 0.00953171i | ||||
\(896\) | −2.64239 | + | 0.133281i | −0.0882761 | + | 0.00445260i | ||||
\(897\) | −8.38449 | − | 3.68663i | −0.279950 | − | 0.123093i | ||||
\(898\) | 15.9452 | − | 4.91845i | 0.532099 | − | 0.164131i | ||||
\(899\) | −11.2244 | − | 1.69180i | −0.374354 | − | 0.0564248i | ||||
\(900\) | −2.29650 | + | 14.6679i | −0.0765499 | + | 0.488929i | ||||
\(901\) | 28.8994 | + | 16.6851i | 0.962779 | + | 0.555861i | ||||
\(902\) | −5.87916 | − | 14.9799i | −0.195755 | − | 0.498775i | ||||
\(903\) | 35.7490 | − | 33.8515i | 1.18965 | − | 1.12651i | ||||
\(904\) | −6.63248 | + | 16.8993i | −0.220593 | + | 0.562062i | ||||
\(905\) | 2.50176 | − | 1.99509i | 0.0831613 | − | 0.0663189i | ||||
\(906\) | −5.91852 | + | 13.4605i | −0.196630 | + | 0.447195i | ||||
\(907\) | 3.11507 | − | 1.50014i | 0.103434 | − | 0.0498113i | −0.381451 | − | 0.924389i | \(-0.624576\pi\) |
0.484885 | + | 0.874578i | \(0.338861\pi\) | |||||||
\(908\) | −5.80818 | + | 0.875442i | −0.192751 | + | 0.0290526i | ||||
\(909\) | −1.32548 | − | 0.775385i | −0.0439634 | − | 0.0257179i | ||||
\(910\) | 0.371396 | − | 3.73152i | 0.0123117 | − | 0.123699i | ||||
\(911\) | 47.8844 | − | 18.7932i | 1.58648 | − | 0.622648i | 0.602055 | − | 0.798454i | \(-0.294349\pi\) |
0.984425 | + | 0.175807i | \(0.0562533\pi\) | |||||||
\(912\) | 0.611465 | + | 3.28292i | 0.0202476 | + | 0.108708i | ||||
\(913\) | 43.0068 | + | 24.8300i | 1.42332 | + | 0.821753i | ||||
\(914\) | −24.9385 | + | 9.78765i | −0.824893 | + | 0.323747i | ||||
\(915\) | −1.39860 | − | 2.66466i | −0.0462364 | − | 0.0880910i | ||||
\(916\) | 7.92748 | + | 0.594083i | 0.261931 | + | 0.0196290i | ||||
\(917\) | −32.5386 | + | 38.8198i | −1.07452 | + | 1.28194i | ||||
\(918\) | −19.1393 | − | 8.54614i | −0.631692 | − | 0.282065i | ||||
\(919\) | −17.7149 | − | 45.1368i | −0.584360 | − | 1.48892i | −0.851020 | − | 0.525134i | \(-0.824015\pi\) |
0.266660 | − | 0.963791i | \(-0.414080\pi\) | |||||||
\(920\) | 0.171945 | + | 0.0828044i | 0.00566886 | + | 0.00272998i | ||||
\(921\) | 50.3908 | + | 2.02947i | 1.66043 | + | 0.0668735i | ||||
\(922\) | 10.8640 | + | 22.5594i | 0.357787 | + | 0.742953i | ||||
\(923\) | −38.2572 | + | 35.4975i | −1.25925 | + | 1.16842i | ||||
\(924\) | −16.6107 | − | 6.32554i | −0.546452 | − | 0.208095i | ||||
\(925\) | 12.4376 | + | 11.5404i | 0.408944 | + | 0.379445i | ||||
\(926\) | 8.59674 | − | 27.8699i | 0.282506 | − | 0.915863i | ||||
\(927\) | −25.4396 | + | 43.4878i | −0.835547 | + | 1.42833i | ||||
\(928\) | 4.35572 | − | 4.04152i | 0.142984 | − | 0.132669i | ||||
\(929\) | −1.06339 | − | 14.1900i | −0.0348888 | − | 0.465559i | −0.987099 | − | 0.160114i | \(-0.948814\pi\) |
0.952210 | − | 0.305445i | \(-0.0988052\pi\) | |||||||
\(930\) | 0.735700 | − | 0.137029i | 0.0241245 | − | 0.00449335i | ||||
\(931\) | −1.35800 | − | 13.4274i | −0.0445067 | − | 0.440067i | ||||
\(932\) | 10.3284 | − | 5.96310i | 0.338318 | − | 0.195328i | ||||
\(933\) | 21.5990 | − | 21.4761i | 0.707120 | − | 0.703096i | ||||
\(934\) | 8.92878 | − | 2.03794i | 0.292159 | − | 0.0666833i | ||||
\(935\) | −3.29404 | − | 1.29282i | −0.107727 | − | 0.0422796i | ||||
\(936\) | 8.25373 | − | 16.8918i | 0.269781 | − | 0.552125i | ||||
\(937\) | −37.9735 | − | 8.66720i | −1.24054 | − | 0.283145i | −0.448593 | − | 0.893736i | \(-0.648075\pi\) |
−0.791946 | + | 0.610591i | \(0.790932\pi\) | |||||||
\(938\) | 21.0045 | − | 15.9279i | 0.685823 | − | 0.520063i | ||||
\(939\) | −3.98102 | − | 2.95571i | −0.129916 | − | 0.0964558i | ||||
\(940\) | −1.90388 | + | 0.916863i | −0.0620979 | + | 0.0299048i | ||||
\(941\) | −10.1258 | − | 9.39537i | −0.330092 | − | 0.306280i | 0.497663 | − | 0.867370i | \(-0.334192\pi\) |
−0.827755 | + | 0.561090i | \(0.810382\pi\) | |||||||
\(942\) | 27.3480 | + | 7.41156i | 0.891045 | + | 0.241482i | ||||
\(943\) | 0.521786 | − | 3.46182i | 0.0169917 | − | 0.112732i | ||||
\(944\) | −0.209001 | − | 0.100650i | −0.00680241 | − | 0.00327587i | ||||
\(945\) | −1.74011 | + | 2.57676i | −0.0566057 | + | 0.0838221i | ||||
\(946\) | 37.5442 | − | 18.0803i | 1.22067 | − | 0.587842i | ||||
\(947\) | −12.1837 | − | 39.4985i | −0.395916 | − | 1.28353i | −0.905954 | − | 0.423376i | \(-0.860845\pi\) |
0.510038 | − | 0.860152i | \(-0.329631\pi\) | |||||||
\(948\) | −11.4133 | + | 21.4467i | −0.370686 | + | 0.696555i | ||||
\(949\) | 24.9895 | − | 43.2831i | 0.811194 | − | 1.40503i | ||||
\(950\) | −9.54134 | −0.309562 | ||||||||
\(951\) | −0.704248 | − | 20.3772i | −0.0228368 | − | 0.660776i | ||||
\(952\) | 9.83680 | + | 4.14042i | 0.318813 | + | 0.134192i | ||||
\(953\) | 10.1984 | − | 8.13294i | 0.330358 | − | 0.263452i | −0.444237 | − | 0.895909i | \(-0.646525\pi\) |
0.774595 | + | 0.632458i | \(0.217954\pi\) | |||||||
\(954\) | 21.5629 | − | 12.2858i | 0.698125 | − | 0.397769i | ||||
\(955\) | 1.56224 | − | 2.29139i | 0.0505530 | − | 0.0741476i | ||||
\(956\) | −9.32087 | − | 19.3550i | −0.301458 | − | 0.625985i | ||||
\(957\) | 37.7155 | − | 13.0766i | 1.21917 | − | 0.422706i | ||||
\(958\) | −1.14110 | − | 0.447849i | −0.0368673 | − | 0.0144693i | ||||
\(959\) | −2.22035 | − | 1.86109i | −0.0716988 | − | 0.0600977i | ||||
\(960\) | −0.184032 | + | 0.345814i | −0.00593961 | + | 0.0111611i | ||||
\(961\) | −13.6753 | − | 23.6862i | −0.441137 | − | 0.764073i | ||||
\(962\) | −10.7427 | − | 18.6069i | −0.346358 | − | 0.599910i | ||||
\(963\) | −19.5872 | + | 17.9674i | −0.631188 | + | 0.578990i | ||||
\(964\) | 0.593565 | − | 0.639711i | 0.0191174 | − | 0.0206037i | ||||
\(965\) | −0.313159 | + | 4.17882i | −0.0100809 | + | 0.134521i | ||||
\(966\) | −2.44150 | − | 2.99863i | −0.0785539 | − | 0.0964793i | ||||
\(967\) | −1.09831 | − | 14.6560i | −0.0353193 | − | 0.471304i | −0.986620 | − | 0.163038i | \(-0.947871\pi\) |
0.951300 | − | 0.308265i | \(-0.0997485\pi\) | |||||||
\(968\) | −3.16187 | − | 2.52150i | −0.101626 | − | 0.0810442i | ||||
\(969\) | 3.52358 | − | 13.0017i | 0.113194 | − | 0.417674i | ||||
\(970\) | −0.523345 | + | 2.29292i | −0.0168036 | + | 0.0736213i | ||||
\(971\) | 1.76060 | − | 23.4936i | 0.0565003 | − | 0.753944i | −0.894955 | − | 0.446157i | \(-0.852792\pi\) |
0.951455 | − | 0.307787i | \(-0.0995886\pi\) | |||||||
\(972\) | −12.6732 | + | 9.07688i | −0.406493 | + | 0.291141i | ||||
\(973\) | 3.53857 | + | 12.5513i | 0.113441 | + | 0.402376i | ||||
\(974\) | −4.82097 | + | 5.19577i | −0.154474 | + | 0.166483i | ||||
\(975\) | 43.1294 | + | 32.0214i | 1.38125 | + | 1.02551i | ||||
\(976\) | 1.14498 | + | 7.59647i | 0.0366500 | + | 0.243157i | ||||
\(977\) | 8.46856 | − | 27.4544i | 0.270933 | − | 0.878344i | −0.713207 | − | 0.700953i | \(-0.752758\pi\) |
0.984140 | − | 0.177391i | \(-0.0567657\pi\) | |||||||
\(978\) | 0.0256144 | − | 0.0945146i | 0.000819057 | − | 0.00302225i | ||||
\(979\) | 2.89737 | + | 1.67280i | 0.0926003 | + | 0.0534628i | ||||
\(980\) | 0.857533 | − | 1.33082i | 0.0273929 | − | 0.0425113i | ||||
\(981\) | −18.8687 | − | 15.2242i | −0.602430 | − | 0.486071i | ||||
\(982\) | −27.4785 | + | 18.7345i | −0.876875 | + | 0.597843i | ||||
\(983\) | −6.27833 | − | 27.5071i | −0.200247 | − | 0.877342i | −0.970786 | − | 0.239948i | \(-0.922870\pi\) |
0.770538 | − | 0.637394i | \(-0.219987\pi\) | |||||||
\(984\) | 7.05698 | + | 1.35612i | 0.224968 | + | 0.0432315i | ||||
\(985\) | −5.89228 | + | 1.34487i | −0.187744 | + | 0.0428513i | ||||
\(986\) | −22.9041 | + | 7.06498i | −0.729415 | + | 0.224995i | ||||
\(987\) | 42.8142 | − | 0.434312i | 1.36279 | − | 0.0138243i | ||||
\(988\) | 11.5456 | + | 3.56134i | 0.367314 | + | 0.113301i | ||||
\(989\) | 9.04030 | + | 0.677477i | 0.287465 | + | 0.0215425i | ||||
\(990\) | −2.06687 | + | 1.62907i | −0.0656895 | + | 0.0517752i | ||||
\(991\) | −0.756305 | − | 10.0922i | −0.0240248 | − | 0.320589i | −0.996249 | − | 0.0865362i | \(-0.972420\pi\) |
0.972224 | − | 0.234053i | \(-0.0751989\pi\) | |||||||
\(992\) | −1.88902 | − | 0.284724i | −0.0599765 | − | 0.00904001i | ||||
\(993\) | 2.05886 | + | 7.77242i | 0.0653361 | + | 0.246650i | ||||
\(994\) | −21.2067 | + | 5.97877i | −0.672635 | + | 0.189635i | ||||
\(995\) | −2.32740 | + | 3.41367i | −0.0737836 | + | 0.108221i | ||||
\(996\) | −19.6356 | + | 10.3062i | −0.622178 | + | 0.326563i | ||||
\(997\) | 28.3628 | + | 22.6185i | 0.898258 | + | 0.716337i | 0.959477 | − | 0.281788i | \(-0.0909274\pi\) |
−0.0612190 | + | 0.998124i | \(0.519499\pi\) | |||||||
\(998\) | 2.79308 | − | 1.61259i | 0.0884135 | − | 0.0510456i | ||||
\(999\) | 0.513717 | + | 17.8073i | 0.0162533 | + | 0.563397i |
(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 | 882.2.bc.a.551.39 | yes | 672 | |
9.5 | odd | 6 | 882.2.bk.a.257.32 | yes | 672 | ||
49.45 | odd | 42 | 882.2.bk.a.731.32 | yes | 672 | ||
441.437 | even | 42 | inner | 882.2.bc.a.437.39 | ✓ | 672 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
882.2.bc.a.437.39 | ✓ | 672 | 441.437 | even | 42 | inner | |
882.2.bc.a.551.39 | yes | 672 | 1.1 | even | 1 | trivial | |
882.2.bk.a.257.32 | yes | 672 | 9.5 | odd | 6 | ||
882.2.bk.a.731.32 | yes | 672 | 49.45 | odd | 42 |