Newspace parameters
comment: Compute space of new eigenforms
[N,k,chi] = [225,2,Mod(16,225)]
mf = mfinit([N,k,chi],0)
lf = mfeigenbasis(mf)
from sage.modular.dirichlet import DirichletCharacter
H = DirichletGroup(225, base_ring=CyclotomicField(30))
chi = DirichletCharacter(H, H._module([20, 6]))
N = Newforms(chi, 2, names="a")
//Please install CHIMP (https://github.com/edgarcosta/CHIMP) if you want to run this code
chi := DirichletCharacter("225.16");
S:= CuspForms(chi, 2);
N := Newforms(S);
Level: | \( N \) | \(=\) | \( 225 = 3^{2} \cdot 5^{2} \) |
Weight: | \( k \) | \(=\) | \( 2 \) |
Character orbit: | \([\chi]\) | \(=\) | 225.q (of order \(15\), degree \(8\), minimal) |
Newform invariants
comment: select newform
sage: f = N[0] # Warning: the index may be different
gp: f = lf[1] \\ Warning: the index may be different
Self dual: | no |
Analytic conductor: | \(1.79663404548\) |
Analytic rank: | \(0\) |
Dimension: | \(224\) |
Relative dimension: | \(28\) over \(\Q(\zeta_{15})\) |
Twist minimal: | yes |
Sato-Tate group: | $\mathrm{SU}(2)[C_{15}]$ |
Embedding invariants
Embedding label | 31.28 | ||
Character | \(\chi\) | \(=\) | 225.31 |
Dual form | 225.2.q.a.196.28 |
$q$-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 \(\left(\mathbb{Z}/225\mathbb{Z}\right)^\times\).
\(n\) | \(101\) | \(127\) |
\(\chi(n)\) | \(e\left(\frac{1}{3}\right)\) | \(e\left(\frac{2}{5}\right)\) |
Coefficient data
For each \(n\) we display the coefficients of the \(q\)-expansion \(a_n\), the Satake parameters \(\alpha_p\), and the Satake angles \(\theta_p = \textrm{Arg}(\alpha_p)\).
(See \(a_n\) instead)
(See \(a_n\) instead)
(See \(a_n\) instead)
(See only \(a_p\))
(See only \(a_p\))
(See only \(a_p\))
\(n\) | \(a_n\) | \(a_n / n^{(k-1)/2}\) | \( \alpha_n \) | \( \theta_n \) | ||||||
---|---|---|---|---|---|---|---|---|---|---|
\(p\) | \(a_p\) | \(a_p / p^{(k-1)/2}\) | \( \alpha_p\) | \( \theta_p \) | ||||||
\(2\) | 1.77417 | − | 1.97042i | 1.25453 | − | 1.39330i | 0.368527 | − | 0.929617i | \(-0.379862\pi\) |
0.886003 | − | 0.463679i | \(-0.153471\pi\) | |||||||
\(3\) | 1.73154 | + | 0.0421814i | 0.999703 | + | 0.0243534i | ||||
\(4\) | −0.525803 | − | 5.00268i | −0.262902 | − | 2.50134i | ||||
\(5\) | −1.61775 | + | 1.54366i | −0.723479 | + | 0.690346i | ||||
\(6\) | 3.15516 | − | 3.33702i | 1.28809 | − | 1.36233i | ||||
\(7\) | 1.02644 | + | 1.77785i | 0.387959 | + | 0.671966i | 0.992175 | − | 0.124855i | \(-0.0398467\pi\) |
−0.604215 | + | 0.796821i | \(0.706513\pi\) | |||||||
\(8\) | −6.50010 | − | 4.72260i | −2.29813 | − | 1.66969i | ||||
\(9\) | 2.99644 | + | 0.146077i | 0.998814 | + | 0.0486924i | ||||
\(10\) | 0.171493 | + | 5.92636i | 0.0542308 | + | 1.87408i | ||||
\(11\) | −3.84053 | + | 4.26534i | −1.15796 | + | 1.28605i | −0.206445 | + | 0.978458i | \(0.566189\pi\) |
−0.951519 | + | 0.307590i | \(0.900477\pi\) | |||||||
\(12\) | −0.699428 | − | 8.68451i | −0.201907 | − | 2.50700i | ||||
\(13\) | −1.39743 | − | 1.55200i | −0.387577 | − | 0.430448i | 0.517508 | − | 0.855678i | \(-0.326860\pi\) |
−0.905085 | + | 0.425230i | \(0.860193\pi\) | |||||||
\(14\) | 5.32421 | + | 1.13169i | 1.42295 | + | 0.302458i | ||||
\(15\) | −2.86631 | + | 2.60467i | −0.740077 | + | 0.672522i | ||||
\(16\) | −10.9972 | + | 2.33752i | −2.74929 | + | 0.584379i | ||||
\(17\) | −0.0247468 | − | 0.0179796i | −0.00600198 | − | 0.00436070i | 0.584780 | − | 0.811192i | \(-0.301181\pi\) |
−0.590782 | + | 0.806831i | \(0.701181\pi\) | |||||||
\(18\) | 5.60404 | − | 5.64508i | 1.32088 | − | 1.33056i | ||||
\(19\) | −5.30003 | − | 3.85070i | −1.21591 | − | 0.883410i | −0.220156 | − | 0.975465i | \(-0.570657\pi\) |
−0.995754 | + | 0.0920546i | \(0.970657\pi\) | |||||||
\(20\) | 8.57307 | + | 7.28142i | 1.91700 | + | 1.62818i | ||||
\(21\) | 1.70233 | + | 3.12172i | 0.371480 | + | 0.681214i | ||||
\(22\) | 1.59074 | + | 15.1349i | 0.339147 | + | 3.22677i | ||||
\(23\) | 3.94065 | + | 0.837611i | 0.821683 | + | 0.174654i | 0.599524 | − | 0.800357i | \(-0.295356\pi\) |
0.222158 | + | 0.975011i | \(0.428690\pi\) | |||||||
\(24\) | −11.0560 | − | 8.45153i | −2.25679 | − | 1.72516i | ||||
\(25\) | 0.234221 | − | 4.99451i | 0.0468442 | − | 0.998902i | ||||
\(26\) | −5.53738 | −1.08597 | ||||||||
\(27\) | 5.18229 | + | 0.379332i | 0.997332 | + | 0.0730025i | ||||
\(28\) | 8.35433 | − | 6.06978i | 1.57882 | − | 1.14708i | ||||
\(29\) | 2.99836 | + | 1.33495i | 0.556781 | + | 0.247895i | 0.665781 | − | 0.746147i | \(-0.268098\pi\) |
−0.109000 | + | 0.994042i | \(0.534765\pi\) | |||||||
\(30\) | 0.0469638 | + | 10.2690i | 0.00857438 | + | 1.87485i | ||||
\(31\) | 2.93669 | − | 1.30750i | 0.527446 | − | 0.234834i | −0.125697 | − | 0.992069i | \(-0.540117\pi\) |
0.653143 | + | 0.757235i | \(0.273450\pi\) | |||||||
\(32\) | −6.87040 | + | 11.8999i | −1.21453 | + | 2.10362i | ||||
\(33\) | −6.82994 | + | 7.22360i | −1.18894 | + | 1.25747i | ||||
\(34\) | −0.0793325 | + | 0.0168626i | −0.0136054 | + | 0.00289192i | ||||
\(35\) | −4.40493 | − | 1.29164i | −0.744569 | − | 0.218327i | ||||
\(36\) | −0.844760 | − | 15.0671i | −0.140793 | − | 2.51118i | ||||
\(37\) | 1.37908 | − | 4.24438i | 0.226720 | − | 0.697771i | −0.771393 | − | 0.636359i | \(-0.780440\pi\) |
0.998112 | − | 0.0614120i | \(-0.0195604\pi\) | |||||||
\(38\) | −16.9906 | + | 3.61147i | −2.75625 | + | 0.585858i | ||||
\(39\) | −2.35424 | − | 2.74630i | −0.376979 | − | 0.439759i | ||||
\(40\) | 17.8056 | − | 2.39397i | 2.81531 | − | 0.378520i | ||||
\(41\) | 1.29130 | + | 1.43413i | 0.201667 | + | 0.223974i | 0.835492 | − | 0.549503i | \(-0.185183\pi\) |
−0.633825 | + | 0.773476i | \(0.718516\pi\) | |||||||
\(42\) | 9.17132 | + | 2.18415i | 1.41517 | + | 0.337022i | ||||
\(43\) | 0.309512 | + | 0.536091i | 0.0472002 | + | 0.0817531i | 0.888660 | − | 0.458566i | \(-0.151637\pi\) |
−0.841460 | + | 0.540319i | \(0.818303\pi\) | |||||||
\(44\) | 23.3575 | + | 16.9702i | 3.52128 | + | 2.55836i | ||||
\(45\) | −5.07298 | + | 4.38917i | −0.756236 | + | 0.654299i | ||||
\(46\) | 8.64184 | − | 6.27867i | 1.27417 | − | 0.925739i | ||||
\(47\) | −2.37044 | − | 1.05539i | −0.345764 | − | 0.153944i | 0.226505 | − | 0.974010i | \(-0.427270\pi\) |
−0.572269 | + | 0.820066i | \(0.693937\pi\) | |||||||
\(48\) | −19.1406 | + | 3.58362i | −2.76270 | + | 0.517251i | ||||
\(49\) | 1.39282 | − | 2.41244i | 0.198975 | − | 0.344635i | ||||
\(50\) | −9.42573 | − | 9.32264i | −1.33300 | − | 1.31842i | ||||
\(51\) | −0.0420916 | − | 0.0321762i | −0.00589400 | − | 0.00450557i | ||||
\(52\) | −7.02940 | + | 7.80695i | −0.974803 | + | 1.08263i | ||||
\(53\) | −2.83942 | + | 2.06296i | −0.390024 | + | 0.283369i | −0.765465 | − | 0.643477i | \(-0.777491\pi\) |
0.375441 | + | 0.926846i | \(0.377491\pi\) | |||||||
\(54\) | 9.94172 | − | 9.53828i | 1.35290 | − | 1.29799i | ||||
\(55\) | −0.371228 | − | 12.8287i | −0.0500564 | − | 1.72983i | ||||
\(56\) | 1.72410 | − | 16.4037i | 0.230392 | − | 2.19204i | ||||
\(57\) | −9.01477 | − | 6.89118i | −1.19404 | − | 0.912760i | ||||
\(58\) | 7.95002 | − | 3.53958i | 1.04389 | − | 0.464769i | ||||
\(59\) | −5.43616 | − | 6.03746i | −0.707727 | − | 0.786011i | 0.276859 | − | 0.960911i | \(-0.410707\pi\) |
−0.984586 | + | 0.174900i | \(0.944040\pi\) | |||||||
\(60\) | 14.5374 | + | 12.9697i | 1.87678 | + | 1.67438i | ||||
\(61\) | −5.51851 | + | 6.12893i | −0.706573 | + | 0.784729i | −0.984408 | − | 0.175900i | \(-0.943716\pi\) |
0.277835 | + | 0.960629i | \(0.410383\pi\) | |||||||
\(62\) | 2.63388 | − | 8.10625i | 0.334503 | − | 1.02949i | ||||
\(63\) | 2.81598 | + | 5.47717i | 0.354780 | + | 0.690059i | ||||
\(64\) | 4.31002 | + | 13.2649i | 0.538753 | + | 1.65811i | ||||
\(65\) | 4.65646 | + | 0.353593i | 0.577562 | + | 0.0438578i | ||||
\(66\) | 2.11602 | + | 26.2737i | 0.260464 | + | 3.23408i | ||||
\(67\) | −0.642929 | + | 0.286250i | −0.0785463 | + | 0.0349710i | −0.445634 | − | 0.895215i | \(-0.647022\pi\) |
0.367087 | + | 0.930186i | \(0.380355\pi\) | |||||||
\(68\) | −0.0769343 | + | 0.133254i | −0.00932966 | + | 0.0161594i | ||||
\(69\) | 6.78805 | + | 1.61658i | 0.817186 | + | 0.194613i | ||||
\(70\) | −10.3602 | + | 6.38797i | −1.23828 | + | 0.763509i | ||||
\(71\) | 3.81216 | − | 2.76970i | 0.452421 | − | 0.328703i | −0.338130 | − | 0.941099i | \(-0.609794\pi\) |
0.790551 | + | 0.612397i | \(0.209794\pi\) | |||||||
\(72\) | −18.7873 | − | 15.1005i | −2.21410 | − | 1.77961i | ||||
\(73\) | 2.55263 | + | 7.85620i | 0.298763 | + | 0.919499i | 0.981931 | + | 0.189237i | \(0.0606016\pi\) |
−0.683168 | + | 0.730261i | \(0.739398\pi\) | |||||||
\(74\) | −5.91647 | − | 10.2476i | −0.687776 | − | 1.19126i | ||||
\(75\) | 0.616238 | − | 8.63830i | 0.0711570 | − | 0.997465i | ||||
\(76\) | −16.4770 | + | 28.5391i | −1.89005 | + | 3.27366i | ||||
\(77\) | −11.5252 | − | 2.44977i | −1.31342 | − | 0.279177i | ||||
\(78\) | −9.58817 | − | 0.233574i | −1.08565 | − | 0.0264471i | ||||
\(79\) | 10.9723 | + | 4.88520i | 1.23448 | + | 0.549628i | 0.917095 | − | 0.398668i | \(-0.130527\pi\) |
0.317389 | + | 0.948295i | \(0.397194\pi\) | |||||||
\(80\) | 14.1823 | − | 20.7574i | 1.58563 | − | 2.32075i | ||||
\(81\) | 8.95732 | + | 0.875424i | 0.995258 | + | 0.0972693i | ||||
\(82\) | 5.11682 | 0.565058 | ||||||||
\(83\) | −1.37616 | + | 13.0933i | −0.151053 | + | 1.43717i | 0.612011 | + | 0.790849i | \(0.290361\pi\) |
−0.763064 | + | 0.646323i | \(0.776306\pi\) | |||||||
\(84\) | 14.7219 | − | 10.1576i | 1.60629 | − | 1.10829i | ||||
\(85\) | 0.0677885 | − | 0.00911420i | 0.00735270 | − | 0.000988573i | ||||
\(86\) | 1.60545 | + | 0.341249i | 0.173120 | + | 0.0367979i | ||||
\(87\) | 5.13546 | + | 2.43800i | 0.550579 | + | 0.261381i | ||||
\(88\) | 45.1073 | − | 9.58785i | 4.80845 | − | 1.02207i | ||||
\(89\) | 1.99904 | + | 6.15242i | 0.211898 | + | 0.652155i | 0.999359 | + | 0.0357910i | \(0.0113951\pi\) |
−0.787461 | + | 0.616364i | \(0.788605\pi\) | |||||||
\(90\) | −0.351839 | + | 17.7831i | −0.0370871 | + | 1.87450i | ||||
\(91\) | 1.32485 | − | 4.07747i | 0.138882 | − | 0.427435i | ||||
\(92\) | 2.11830 | − | 20.1543i | 0.220848 | − | 2.10123i | ||||
\(93\) | 5.14015 | − | 2.14011i | 0.533008 | − | 0.221919i | ||||
\(94\) | −6.28513 | + | 2.79832i | −0.648262 | + | 0.288625i | ||||
\(95\) | 14.5183 | − | 1.95199i | 1.48954 | − | 0.200270i | ||||
\(96\) | −12.3983 | + | 20.3153i | −1.26540 | + | 2.07342i | ||||
\(97\) | −9.33612 | − | 4.15671i | −0.947940 | − | 0.422050i | −0.126258 | − | 0.991997i | \(-0.540297\pi\) |
−0.821681 | + | 0.569947i | \(0.806964\pi\) | |||||||
\(98\) | −2.28241 | − | 7.02454i | −0.230558 | − | 0.709585i | ||||
\(99\) | −12.1310 | + | 12.2198i | −1.21921 | + | 1.22814i | ||||
\(100\) | −25.1091 | + | 1.45440i | −2.51091 | + | 0.145440i | ||||
\(101\) | −1.06922 | − | 1.85194i | −0.106391 | − | 0.184275i | 0.807915 | − | 0.589300i | \(-0.200596\pi\) |
−0.914306 | + | 0.405025i | \(0.867263\pi\) | |||||||
\(102\) | −0.138078 | + | 0.0258519i | −0.0136718 | + | 0.00255972i | ||||
\(103\) | 0.126240 | + | 1.20110i | 0.0124388 | + | 0.118348i | 0.998979 | − | 0.0451695i | \(-0.0143828\pi\) |
−0.986541 | + | 0.163517i | \(0.947716\pi\) | |||||||
\(104\) | 1.75394 | + | 16.6877i | 0.171988 | + | 1.63636i | ||||
\(105\) | −7.57282 | − | 2.42233i | −0.739032 | − | 0.236395i | ||||
\(106\) | −0.972728 | + | 9.25489i | −0.0944797 | + | 0.898914i | ||||
\(107\) | −11.1600 | −1.07887 | −0.539437 | − | 0.842026i | \(-0.681363\pi\) | ||||
−0.539437 | + | 0.842026i | \(0.681363\pi\) | |||||||
\(108\) | −0.827184 | − | 26.1248i | −0.0795958 | − | 2.51386i | ||||
\(109\) | 2.86190 | − | 8.80802i | 0.274120 | − | 0.843655i | −0.715331 | − | 0.698786i | \(-0.753724\pi\) |
0.989451 | − | 0.144869i | \(-0.0462761\pi\) | |||||||
\(110\) | −25.9366 | − | 22.0289i | −2.47296 | − | 2.10037i | ||||
\(111\) | 2.56696 | − | 7.29112i | 0.243645 | − | 0.692043i | ||||
\(112\) | −15.4437 | − | 17.1520i | −1.45929 | − | 1.62071i | ||||
\(113\) | −5.84918 | − | 6.49617i | −0.550244 | − | 0.611108i | 0.402300 | − | 0.915508i | \(-0.368211\pi\) |
−0.952544 | + | 0.304400i | \(0.901544\pi\) | |||||||
\(114\) | −29.5723 | + | 5.53671i | −2.76970 | + | 0.518561i | ||||
\(115\) | −7.66797 | + | 4.72799i | −0.715042 | + | 0.440887i | ||||
\(116\) | 5.10181 | − | 15.7018i | 0.473691 | − | 1.45787i | ||||
\(117\) | −3.96060 | − | 4.85462i | −0.366158 | − | 0.448810i | ||||
\(118\) | −21.5410 | −1.98301 | ||||||||
\(119\) | 0.00656389 | − | 0.0624513i | 0.000601711 | − | 0.00572490i | ||||
\(120\) | 30.9321 | − | 3.39419i | 2.82370 | − | 0.309845i | ||||
\(121\) | −2.29365 | − | 21.8226i | −0.208513 | − | 1.98387i | ||||
\(122\) | 2.28576 | + | 21.7476i | 0.206943 | + | 1.96893i | ||||
\(123\) | 2.17544 | + | 2.53772i | 0.196152 | + | 0.228818i | ||||
\(124\) | −8.08513 | − | 14.0039i | −0.726066 | − | 1.25758i | ||||
\(125\) | 7.33092 | + | 8.44142i | 0.655698 | + | 0.755024i | ||||
\(126\) | 15.7884 | + | 4.16880i | 1.40654 | + | 0.371387i | ||||
\(127\) | −0.411180 | − | 1.26548i | −0.0364863 | − | 0.112293i | 0.931155 | − | 0.364625i | \(-0.118803\pi\) |
−0.967641 | + | 0.252331i | \(0.918803\pi\) | |||||||
\(128\) | 8.67841 | + | 3.86388i | 0.767070 | + | 0.341522i | ||||
\(129\) | 0.513319 | + | 0.941317i | 0.0451952 | + | 0.0828783i | ||||
\(130\) | 8.95808 | − | 8.54783i | 0.785676 | − | 0.749694i | ||||
\(131\) | −15.5424 | + | 6.91991i | −1.35794 | + | 0.604596i | −0.951095 | − | 0.308900i | \(-0.900039\pi\) |
−0.406849 | + | 0.913495i | \(0.633373\pi\) | |||||||
\(132\) | 39.7286 | + | 30.3698i | 3.45793 | + | 2.64335i | ||||
\(133\) | 1.40579 | − | 13.3752i | 0.121897 | − | 1.15978i | ||||
\(134\) | −0.576634 | + | 1.77470i | −0.0498136 | + | 0.153310i | ||||
\(135\) | −8.96920 | + | 7.38603i | −0.771946 | + | 0.635688i | ||||
\(136\) | 0.0759462 | + | 0.233738i | 0.00651233 | + | 0.0200429i | ||||
\(137\) | −4.86487 | + | 1.03406i | −0.415634 | + | 0.0883456i | −0.410982 | − | 0.911644i | \(-0.634814\pi\) |
−0.00465171 | + | 0.999989i | \(0.501481\pi\) | |||||||
\(138\) | 15.2285 | − | 10.5072i | 1.29634 | − | 0.894434i | ||||
\(139\) | 12.9544 | + | 2.75355i | 1.09878 | + | 0.233553i | 0.721409 | − | 0.692510i | \(-0.243495\pi\) |
0.377370 | + | 0.926062i | \(0.376828\pi\) | |||||||
\(140\) | −4.14553 | + | 22.7156i | −0.350361 | + | 1.91982i | ||||
\(141\) | −4.05999 | − | 1.92743i | −0.341913 | − | 0.162319i | ||||
\(142\) | 1.30597 | − | 12.4255i | 0.109595 | − | 1.04272i | ||||
\(143\) | 11.9867 | 1.00238 | ||||||||
\(144\) | −33.2938 | + | 5.39780i | −2.77448 | + | 0.449817i | ||||
\(145\) | −6.91131 | + | 2.46883i | −0.573953 | + | 0.205025i | ||||
\(146\) | 20.0088 | + | 8.90850i | 1.65594 | + | 0.737273i | ||||
\(147\) | 2.51349 | − | 4.11848i | 0.207309 | − | 0.339687i | ||||
\(148\) | −21.9584 | − | 4.66740i | −1.80497 | − | 0.383658i | ||||
\(149\) | 7.12203 | − | 12.3357i | 0.583459 | − | 1.01058i | −0.411606 | − | 0.911362i | \(-0.635032\pi\) |
0.995066 | − | 0.0992193i | \(-0.0316345\pi\) | |||||||
\(150\) | −15.9278 | − | 16.5401i | −1.30050 | − | 1.35049i | ||||
\(151\) | 9.46978 | + | 16.4021i | 0.770640 | + | 1.33479i | 0.937213 | + | 0.348758i | \(0.113397\pi\) |
−0.166573 | + | 0.986029i | \(0.553270\pi\) | |||||||
\(152\) | 16.2654 | + | 50.0598i | 1.31930 | + | 4.06038i | ||||
\(153\) | −0.0715259 | − | 0.0574898i | −0.00578253 | − | 0.00464777i | ||||
\(154\) | −25.2748 | + | 18.3632i | −2.03670 | + | 1.47975i | ||||
\(155\) | −2.73249 | + | 6.64847i | −0.219479 | + | 0.534018i | ||||
\(156\) | −12.5010 | + | 13.2215i | −1.00088 | + | 1.05857i | ||||
\(157\) | 4.74777 | − | 8.22338i | 0.378913 | − | 0.656297i | −0.611991 | − | 0.790865i | \(-0.709631\pi\) |
0.990904 | + | 0.134567i | \(0.0429645\pi\) | |||||||
\(158\) | 29.0927 | − | 12.9529i | 2.31449 | − | 1.03048i | ||||
\(159\) | −5.00358 | + | 3.45232i | −0.396809 | + | 0.273787i | ||||
\(160\) | −7.25481 | − | 29.8566i | −0.573543 | − | 2.36037i | ||||
\(161\) | 2.55571 | + | 7.86566i | 0.201418 | + | 0.619901i | ||||
\(162\) | 17.6168 | − | 16.0965i | 1.38411 | − | 1.26466i | ||||
\(163\) | −2.92027 | + | 8.98768i | −0.228733 | + | 0.703969i | 0.769158 | + | 0.639059i | \(0.220676\pi\) |
−0.997891 | + | 0.0649101i | \(0.979324\pi\) | |||||||
\(164\) | 6.49553 | − | 7.21402i | 0.507216 | − | 0.563320i | ||||
\(165\) | −0.101662 | − | 22.2291i | −0.00791437 | − | 1.73053i | ||||
\(166\) | 23.3577 | + | 25.9413i | 1.81291 | + | 2.01344i | ||||
\(167\) | −13.5729 | + | 6.04304i | −1.05030 | + | 0.467624i | −0.857967 | − | 0.513705i | \(-0.828273\pi\) |
−0.192335 | + | 0.981329i | \(0.561606\pi\) | |||||||
\(168\) | 3.67727 | − | 28.3309i | 0.283708 | − | 2.18578i | ||||
\(169\) | 0.902967 | − | 8.59116i | 0.0694590 | − | 0.660858i | ||||
\(170\) | 0.102310 | − | 0.149742i | 0.00784680 | − | 0.0114847i | ||||
\(171\) | −15.3187 | − | 12.3126i | −1.17145 | − | 0.941568i | ||||
\(172\) | 2.51915 | − | 1.83027i | 0.192083 | − | 0.139557i | ||||
\(173\) | 4.44318 | − | 4.93465i | 0.337809 | − | 0.375175i | −0.550175 | − | 0.835049i | \(-0.685439\pi\) |
0.887984 | + | 0.459875i | \(0.152106\pi\) | |||||||
\(174\) | 13.9151 | − | 5.79357i | 1.05490 | − | 0.439209i | ||||
\(175\) | 9.11992 | − | 4.71018i | 0.689401 | − | 0.356056i | ||||
\(176\) | 32.2646 | − | 55.8839i | 2.43203 | − | 4.21241i | ||||
\(177\) | −9.15824 | − | 10.6834i | −0.688375 | − | 0.803013i | ||||
\(178\) | 15.6695 | + | 6.97651i | 1.17448 | + | 0.522911i | ||||
\(179\) | −3.95088 | + | 2.87048i | −0.295303 | + | 0.214550i | −0.725564 | − | 0.688154i | \(-0.758421\pi\) |
0.430262 | + | 0.902704i | \(0.358421\pi\) | |||||||
\(180\) | 24.6250 | + | 23.0707i | 1.83544 | + | 1.71959i | ||||
\(181\) | 8.58407 | + | 6.23669i | 0.638049 | + | 0.463570i | 0.859179 | − | 0.511675i | \(-0.170975\pi\) |
−0.221131 | + | 0.975244i | \(0.570975\pi\) | |||||||
\(182\) | −5.68381 | − | 9.84464i | −0.421312 | − | 0.729734i | ||||
\(183\) | −9.81403 | + | 10.3797i | −0.725474 | + | 0.767288i | ||||
\(184\) | −21.6589 | − | 24.0547i | −1.59672 | − | 1.77333i | ||||
\(185\) | 4.32087 | + | 8.99517i | 0.317677 | + | 0.661338i | ||||
\(186\) | 4.90259 | − | 13.9252i | 0.359476 | − | 1.02104i | ||||
\(187\) | 0.171730 | − | 0.0365023i | 0.0125581 | − | 0.00266932i | ||||
\(188\) | −4.03339 | + | 12.4135i | −0.294165 | + | 0.905347i | ||||
\(189\) | 4.64493 | + | 9.60271i | 0.337869 | + | 0.698495i | ||||
\(190\) | 21.9117 | − | 32.0703i | 1.58964 | − | 2.32662i | ||||
\(191\) | 23.3711 | − | 4.96768i | 1.69107 | − | 0.359448i | 0.741006 | − | 0.671498i | \(-0.234349\pi\) |
0.950066 | + | 0.312050i | \(0.101016\pi\) | |||||||
\(192\) | 6.90343 | + | 23.1504i | 0.498212 | + | 1.67074i | ||||
\(193\) | −12.8260 | + | 22.2154i | −0.923239 | + | 1.59910i | −0.128870 | + | 0.991662i | \(0.541135\pi\) |
−0.794369 | + | 0.607435i | \(0.792198\pi\) | |||||||
\(194\) | −24.7544 | + | 11.0213i | −1.77726 | + | 0.791287i | ||||
\(195\) | 8.04791 | + | 0.808675i | 0.576323 | + | 0.0579104i | ||||
\(196\) | −12.8010 | − | 5.69939i | −0.914360 | − | 0.407099i | ||||
\(197\) | 12.4362 | − | 9.03540i | 0.886039 | − | 0.643745i | −0.0488029 | − | 0.998808i | \(-0.515541\pi\) |
0.934842 | + | 0.355063i | \(0.115541\pi\) | |||||||
\(198\) | 2.55570 | + | 45.5832i | 0.181626 | + | 3.23946i | ||||
\(199\) | −3.19201 | −0.226275 | −0.113138 | − | 0.993579i | \(-0.536090\pi\) | ||||
−0.113138 | + | 0.993579i | \(0.536090\pi\) | |||||||
\(200\) | −25.1095 | + | 31.3587i | −1.77551 | + | 2.21739i | ||||
\(201\) | −1.12533 | + | 0.468533i | −0.0793746 | + | 0.0330478i | ||||
\(202\) | −5.54607 | − | 1.17885i | −0.390220 | − | 0.0829439i | ||||
\(203\) | 0.704293 | + | 6.70090i | 0.0494317 | + | 0.470311i | ||||
\(204\) | −0.138836 | + | 0.227489i | −0.00972043 | + | 0.0159274i | ||||
\(205\) | −4.30281 | − | 0.326738i | −0.300521 | − | 0.0228204i | ||||
\(206\) | 2.59063 | + | 1.88221i | 0.180498 | + | 0.131140i | ||||
\(207\) | 11.6856 | + | 3.08549i | 0.812204 | + | 0.214457i | ||||
\(208\) | 18.9956 | + | 13.8011i | 1.31711 | + | 0.956934i | ||||
\(209\) | 36.7794 | − | 7.81771i | 2.54409 | − | 0.540762i | ||||
\(210\) | −18.2085 | + | 10.6240i | −1.25651 | + | 0.733126i | ||||
\(211\) | 26.0148 | + | 5.52961i | 1.79093 | + | 0.380674i | 0.979126 | − | 0.203254i | \(-0.0651517\pi\) |
0.811805 | + | 0.583928i | \(0.198485\pi\) | |||||||
\(212\) | 11.8133 | + | 13.1200i | 0.811341 | + | 0.901085i | ||||
\(213\) | 6.71773 | − | 4.63503i | 0.460291 | − | 0.317587i | ||||
\(214\) | −19.7997 | + | 21.9898i | −1.35348 | + | 1.50319i | ||||
\(215\) | −1.32826 | − | 0.389478i | −0.0905863 | − | 0.0265622i | ||||
\(216\) | −31.8939 | − | 26.9395i | −2.17011 | − | 1.83300i | ||||
\(217\) | 5.33890 | + | 3.87893i | 0.362428 | + | 0.263319i | ||||
\(218\) | −12.2780 | − | 21.2661i | −0.831570 | − | 1.44032i | ||||
\(219\) | 4.08859 | + | 13.7110i | 0.276282 | + | 0.926502i | ||||
\(220\) | −63.9829 | + | 8.60252i | −4.31372 | + | 0.579982i | ||||
\(221\) | 0.00667752 | + | 0.0635323i | 0.000449178 | + | 0.00427365i | ||||
\(222\) | −9.81233 | − | 17.9937i | −0.658560 | − | 1.20766i | ||||
\(223\) | −11.4373 | + | 12.7024i | −0.765898 | + | 0.850616i | −0.992356 | − | 0.123405i | \(-0.960619\pi\) |
0.226458 | + | 0.974021i | \(0.427285\pi\) | |||||||
\(224\) | −28.2083 | −1.88475 | ||||||||
\(225\) | 1.43141 | − | 14.9315i | 0.0954276 | − | 0.995436i | ||||
\(226\) | −23.1776 | −1.54175 | ||||||||
\(227\) | −8.24685 | + | 9.15906i | −0.547363 | + | 0.607908i | −0.951823 | − | 0.306648i | \(-0.900793\pi\) |
0.404460 | + | 0.914556i | \(0.367459\pi\) | |||||||
\(228\) | −29.7344 | + | 48.7214i | −1.96921 | + | 3.22666i | ||||
\(229\) | −2.14725 | − | 20.4298i | −0.141895 | − | 1.35004i | −0.801306 | − | 0.598254i | \(-0.795861\pi\) |
0.659412 | − | 0.751782i | \(-0.270805\pi\) | |||||||
\(230\) | −4.28820 | + | 23.4974i | −0.282755 | + | 1.54937i | ||||
\(231\) | −19.8530 | − | 4.72801i | −1.30623 | − | 0.311080i | ||||
\(232\) | −13.1852 | − | 22.8374i | −0.865648 | − | 1.49935i | ||||
\(233\) | −6.68678 | − | 4.85823i | −0.438065 | − | 0.318273i | 0.346800 | − | 0.937939i | \(-0.387268\pi\) |
−0.784866 | + | 0.619666i | \(0.787268\pi\) | |||||||
\(234\) | −16.5924 | − | 0.808885i | −1.08468 | − | 0.0528785i | ||||
\(235\) | 5.46394 | − | 1.95181i | 0.356428 | − | 0.127322i | ||||
\(236\) | −27.3452 | + | 30.3699i | −1.78002 | + | 1.97691i | ||||
\(237\) | 18.7929 | + | 8.92173i | 1.22073 | + | 0.579529i | ||||
\(238\) | −0.111410 | − | 0.123733i | −0.00722162 | − | 0.00802042i | ||||
\(239\) | 17.6630 | + | 3.75440i | 1.14253 | + | 0.242852i | 0.740033 | − | 0.672571i | \(-0.234810\pi\) |
0.402495 | + | 0.915422i | \(0.368143\pi\) | |||||||
\(240\) | 25.4327 | − | 35.3440i | 1.64168 | − | 2.28144i | ||||
\(241\) | −12.6786 | + | 2.69491i | −0.816698 | + | 0.173595i | −0.597276 | − | 0.802035i | \(-0.703750\pi\) |
−0.219422 | + | 0.975630i | \(0.570417\pi\) | |||||||
\(242\) | −47.0690 | − | 34.1976i | −3.02571 | − | 2.19831i | ||||
\(243\) | 15.4730 | + | 1.89366i | 0.992594 | + | 0.121478i | ||||
\(244\) | 33.5627 | + | 24.3848i | 2.14863 | + | 1.56107i | ||||
\(245\) | 1.47075 | + | 6.05277i | 0.0939630 | + | 0.386698i | ||||
\(246\) | 8.85997 | + | 0.215835i | 0.564891 | + | 0.0137611i | ||||
\(247\) | 1.43013 | + | 13.6067i | 0.0909967 | + | 0.865776i | ||||
\(248\) | −25.2636 | − | 5.36994i | −1.60424 | − | 0.340992i | ||||
\(249\) | −2.93516 | + | 22.6134i | −0.186008 | + | 1.43307i | ||||
\(250\) | 29.6395 | + | 0.531557i | 1.87456 | + | 0.0336186i | ||||
\(251\) | −8.02701 | −0.506661 | −0.253330 | − | 0.967380i | \(-0.581526\pi\) | ||||
−0.253330 | + | 0.967380i | \(0.581526\pi\) | |||||||
\(252\) | 25.9199 | − | 16.9674i | 1.63280 | − | 1.06884i | ||||
\(253\) | −18.7069 | + | 13.5914i | −1.17609 | + | 0.854481i | ||||
\(254\) | −3.22303 | − | 1.43499i | −0.202231 | − | 0.0900391i | ||||
\(255\) | 0.117763 | − | 0.0129222i | 0.00737459 | − | 0.000809217i | ||||
\(256\) | −2.47295 | + | 1.10103i | −0.154559 | + | 0.0688143i | ||||
\(257\) | 6.92454 | − | 11.9937i | 0.431941 | − | 0.748144i | −0.565100 | − | 0.825023i | \(-0.691162\pi\) |
0.997040 | + | 0.0768792i | \(0.0244956\pi\) | |||||||
\(258\) | 2.76550 | + | 0.658606i | 0.172173 | + | 0.0410030i | ||||
\(259\) | 8.96143 | − | 1.90481i | 0.556836 | − | 0.118359i | ||||
\(260\) | −0.679467 | − | 23.4807i | −0.0421388 | − | 1.45621i | ||||
\(261\) | 8.78940 | + | 4.43811i | 0.544050 | + | 0.274712i | ||||
\(262\) | −13.9397 | + | 42.9021i | −0.861200 | + | 2.65050i | ||||
\(263\) | 15.3140 | − | 3.25510i | 0.944304 | − | 0.200718i | 0.290066 | − | 0.957007i | \(-0.406323\pi\) |
0.654238 | + | 0.756289i | \(0.272989\pi\) | |||||||
\(264\) | 78.5094 | − | 14.6990i | 4.83192 | − | 0.904663i | ||||
\(265\) | 1.40896 | − | 7.72045i | 0.0865515 | − | 0.474263i | ||||
\(266\) | −23.8606 | − | 26.4999i | −1.46299 | − | 1.62481i | ||||
\(267\) | 3.20190 | + | 10.7375i | 0.195953 | + | 0.657122i | ||||
\(268\) | 1.77007 | + | 3.06586i | 0.108124 | + | 0.187277i | ||||
\(269\) | −5.63335 | − | 4.09287i | −0.343472 | − | 0.249547i | 0.402654 | − | 0.915352i | \(-0.368088\pi\) |
−0.746125 | + | 0.665806i | \(0.768088\pi\) | |||||||
\(270\) | −1.35934 | + | 30.7772i | −0.0827266 | + | 1.87304i | ||||
\(271\) | 14.6785 | − | 10.6646i | 0.891658 | − | 0.647828i | −0.0446517 | − | 0.999003i | \(-0.514218\pi\) |
0.936310 | + | 0.351175i | \(0.114218\pi\) | |||||||
\(272\) | 0.314172 | + | 0.139878i | 0.0190495 | + | 0.00848137i | ||||
\(273\) | 2.46602 | − | 7.00440i | 0.149250 | − | 0.423926i | ||||
\(274\) | −6.59358 | + | 11.4204i | −0.398333 | + | 0.689933i | ||||
\(275\) | 20.4038 | + | 20.1806i | 1.23039 | + | 1.21694i | ||||
\(276\) | 4.51805 | − | 34.8085i | 0.271954 | − | 2.09522i | ||||
\(277\) | −10.5077 | + | 11.6700i | −0.631348 | + | 0.701183i | −0.970922 | − | 0.239396i | \(-0.923050\pi\) |
0.339574 | + | 0.940579i | \(0.389717\pi\) | |||||||
\(278\) | 28.4090 | − | 20.6404i | 1.70386 | − | 1.23793i | ||||
\(279\) | 8.99063 | − | 3.48886i | 0.538255 | − | 0.208873i | ||||
\(280\) | 22.5326 | + | 29.1985i | 1.34658 | + | 1.74494i | ||||
\(281\) | 2.01464 | − | 19.1680i | 0.120183 | − | 1.14347i | −0.753662 | − | 0.657262i | \(-0.771714\pi\) |
0.873845 | − | 0.486204i | \(-0.161619\pi\) | |||||||
\(282\) | −11.0010 | + | 4.58028i | −0.655099 | + | 0.272752i | ||||
\(283\) | 5.77953 | − | 2.57321i | 0.343558 | − | 0.152962i | −0.227703 | − | 0.973731i | \(-0.573121\pi\) |
0.571260 | + | 0.820769i | \(0.306455\pi\) | |||||||
\(284\) | −15.8604 | − | 17.6147i | −0.941140 | − | 1.04524i | ||||
\(285\) | 25.2213 | − | 2.76754i | 1.49398 | − | 0.163935i | ||||
\(286\) | 21.2665 | − | 23.6188i | 1.25751 | − | 1.39661i | ||||
\(287\) | −1.22423 | + | 3.76779i | −0.0722640 | + | 0.222406i | ||||
\(288\) | −22.3251 | + | 34.6537i | −1.31552 | + | 2.04199i | ||||
\(289\) | −5.25300 | − | 16.1671i | −0.309000 | − | 0.951004i | ||||
\(290\) | −7.39723 | + | 17.9983i | −0.434380 | + | 1.05690i | ||||
\(291\) | −15.9905 | − | 7.59131i | −0.937380 | − | 0.445010i | ||||
\(292\) | 37.9599 | − | 16.9008i | 2.22143 | − | 0.989047i | ||||
\(293\) | 11.3054 | − | 19.5815i | 0.660467 | − | 1.14396i | −0.320026 | − | 0.947409i | \(-0.603691\pi\) |
0.980493 | − | 0.196554i | \(-0.0629752\pi\) | |||||||
\(294\) | −3.65577 | − | 12.2595i | −0.213209 | − | 0.714990i | ||||
\(295\) | 18.1141 | + | 1.37552i | 1.05465 | + | 0.0800856i | ||||
\(296\) | −29.0086 | + | 21.0760i | −1.68609 | + | 1.22502i | ||||
\(297\) | −21.5207 | + | 20.6474i | −1.24876 | + | 1.19808i | ||||
\(298\) | −11.6708 | − | 35.9191i | −0.676072 | − | 2.08074i | ||||
\(299\) | −4.20681 | − | 7.28640i | −0.243286 | − | 0.421384i | ||||
\(300\) | −43.5387 | + | 1.45920i | −2.51371 | + | 0.0842471i | ||||
\(301\) | −0.635394 | + | 1.10053i | −0.0366235 | + | 0.0634338i | ||||
\(302\) | 49.1201 | + | 10.4408i | 2.82655 | + | 0.600801i | ||||
\(303\) | −1.77327 | − | 3.25180i | −0.101872 | − | 0.186811i | ||||
\(304\) | 67.2863 | + | 29.9578i | 3.85913 | + | 1.71820i | ||||
\(305\) | −0.533423 | − | 18.4338i | −0.0305437 | − | 1.05551i | ||||
\(306\) | −0.240178 | + | 0.0389392i | −0.0137301 | + | 0.00222601i | ||||
\(307\) | 1.98814 | 0.113469 | 0.0567346 | − | 0.998389i | \(-0.481931\pi\) | ||||
0.0567346 | + | 0.998389i | \(0.481931\pi\) | |||||||
\(308\) | −6.19539 | + | 58.9452i | −0.353015 | + | 3.35872i | ||||
\(309\) | 0.167926 | + | 2.08507i | 0.00955297 | + | 0.118615i | ||||
\(310\) | 8.25234 | + | 17.1797i | 0.468702 | + | 0.975741i | ||||
\(311\) | −8.61147 | − | 1.83042i | −0.488312 | − | 0.103794i | −0.0428252 | − | 0.999083i | \(-0.513636\pi\) |
−0.445486 | + | 0.895289i | \(0.646969\pi\) | |||||||
\(312\) | 2.33311 | + | 28.9693i | 0.132086 | + | 1.64006i | ||||
\(313\) | −32.1133 | + | 6.82590i | −1.81515 | + | 0.385822i | −0.985116 | − | 0.171888i | \(-0.945013\pi\) |
−0.830035 | + | 0.557711i | \(0.811680\pi\) | |||||||
\(314\) | −7.78014 | − | 23.9448i | −0.439059 | − | 1.35128i | ||||
\(315\) | −13.0104 | − | 4.51378i | −0.733055 | − | 0.254323i | ||||
\(316\) | 18.6698 | − | 57.4598i | 1.05026 | − | 3.23237i | ||||
\(317\) | −1.63358 | + | 15.5425i | −0.0917512 | + | 0.872954i | 0.847747 | + | 0.530401i | \(0.177958\pi\) |
−0.939498 | + | 0.342554i | \(0.888708\pi\) | |||||||
\(318\) | −2.07470 | + | 15.9841i | −0.116343 | + | 0.896347i | ||||
\(319\) | −17.2093 | + | 7.66208i | −0.963537 | + | 0.428994i | ||||
\(320\) | −27.4490 | − | 14.8060i | −1.53445 | − | 0.827683i | ||||
\(321\) | −19.3239 | − | 0.470743i | −1.07855 | − | 0.0262743i | ||||
\(322\) | 20.0329 | + | 8.91923i | 1.11639 | + | 0.497049i | ||||
\(323\) | 0.0619248 | + | 0.190585i | 0.00344559 | + | 0.0106044i | ||||
\(324\) | −0.330319 | − | 45.2710i | −0.0183511 | − | 2.51505i | ||||
\(325\) | −8.07880 | + | 6.61596i | −0.448131 | + | 0.366988i | ||||
\(326\) | 12.5284 | + | 21.6999i | 0.693885 | + | 1.20184i | ||||
\(327\) | 5.32702 | − | 15.1307i | 0.294585 | − | 0.836729i | ||||
\(328\) | −1.62073 | − | 15.4203i | −0.0894901 | − | 0.851441i | ||||
\(329\) | −0.556800 | − | 5.29760i | −0.0306974 | − | 0.292066i | ||||
\(330\) | −43.9810 | − | 39.2379i | −2.42107 | − | 2.15998i | ||||
\(331\) | 2.25995 | − | 21.5019i | 0.124218 | − | 1.18185i | −0.737815 | − | 0.675002i | \(-0.764143\pi\) |
0.862033 | − | 0.506852i | \(-0.169191\pi\) | |||||||
\(332\) | 66.2251 | 3.63457 | ||||||||
\(333\) | 4.75234 | − | 12.5166i | 0.260427 | − | 0.685904i | ||||
\(334\) | −12.1733 | + | 37.4657i | −0.666095 | + | 2.05003i | ||||
\(335\) | 0.598224 | − | 1.45555i | 0.0326845 | − | 0.0795249i | ||||
\(336\) | −26.0179 | − | 30.3508i | −1.41939 | − | 1.65577i | ||||
\(337\) | 9.52716 | + | 10.5810i | 0.518977 | + | 0.576383i | 0.944478 | − | 0.328576i | \(-0.106569\pi\) |
−0.425500 | + | 0.904958i | \(0.639902\pi\) | |||||||
\(338\) | −15.3262 | − | 17.0214i | −0.833633 | − | 0.925843i | ||||
\(339\) | −9.85405 | − | 11.4951i | −0.535198 | − | 0.624327i | ||||
\(340\) | −0.0812389 | − | 0.334332i | −0.00440580 | − | 0.0181317i | ||||
\(341\) | −5.70153 | + | 17.5475i | −0.308755 | + | 0.950250i | ||||
\(342\) | −51.4390 | + | 8.33962i | −2.78150 | + | 0.450955i | ||||
\(343\) | 20.0888 | 1.08470 | ||||||||
\(344\) | 0.519881 | − | 4.94634i | 0.0280301 | − | 0.266689i | ||||
\(345\) | −13.4768 | + | 7.86324i | −0.725567 | + | 0.423342i | ||||
\(346\) | −1.84036 | − | 17.5099i | −0.0989384 | − | 0.941336i | ||||
\(347\) | −1.98457 | − | 18.8819i | −0.106537 | − | 1.01363i | −0.908962 | − | 0.416879i | \(-0.863124\pi\) |
0.802425 | − | 0.596753i | \(-0.203543\pi\) | |||||||
\(348\) | 9.49630 | − | 26.9730i | 0.509055 | − | 1.44590i | ||||
\(349\) | −1.26140 | − | 2.18481i | −0.0675211 | − | 0.116950i | 0.830288 | − | 0.557334i | \(-0.188176\pi\) |
−0.897810 | + | 0.440384i | \(0.854842\pi\) | |||||||
\(350\) | 6.89930 | − | 26.3267i | 0.368783 | − | 1.40722i | ||||
\(351\) | −6.65316 | − | 8.57301i | −0.355119 | − | 0.457594i | ||||
\(352\) | −24.3711 | − | 75.0065i | −1.29898 | − | 3.99786i | ||||
\(353\) | 4.05214 | + | 1.80413i | 0.215674 | + | 0.0960241i | 0.511730 | − | 0.859146i | \(-0.329005\pi\) |
−0.296056 | + | 0.955171i | \(0.595672\pi\) | |||||||
\(354\) | −37.2991 | − | 0.908630i | −1.98242 | − | 0.0482931i | ||||
\(355\) | −1.89165 | + | 10.3654i | −0.100398 | + | 0.550136i | ||||
\(356\) | 29.7275 | − | 13.2355i | 1.57555 | − | 0.701482i | ||||
\(357\) | 0.0139999 | − | 0.107860i | 0.000740954 | − | 0.00570855i | ||||
\(358\) | −1.35349 | + | 12.8776i | −0.0715343 | + | 0.680603i | ||||
\(359\) | −10.5484 | + | 32.4646i | −0.556722 | + | 1.71341i | 0.134630 | + | 0.990896i | \(0.457015\pi\) |
−0.691352 | + | 0.722518i | \(0.742985\pi\) | |||||||
\(360\) | 53.7032 | − | 4.57240i | 2.83041 | − | 0.240987i | ||||
\(361\) | 7.39111 | + | 22.7475i | 0.389006 | + | 1.19724i | ||||
\(362\) | 27.5185 | − | 5.84924i | 1.44634 | − | 0.307429i | ||||
\(363\) | −3.05103 | − | 37.8834i | −0.160137 | − | 1.98836i | ||||
\(364\) | −21.0949 | − | 4.48386i | −1.10567 | − | 0.235018i | ||||
\(365\) | −16.2568 | − | 8.76895i | −0.850921 | − | 0.458988i | ||||
\(366\) | 3.04054 | + | 37.7531i | 0.158931 | + | 1.97339i | ||||
\(367\) | −1.13659 | + | 10.8139i | −0.0593296 | + | 0.564483i | 0.923967 | + | 0.382472i | \(0.124927\pi\) |
−0.983297 | + | 0.182011i | \(0.941739\pi\) | |||||||
\(368\) | −45.2939 | −2.36111 | ||||||||
\(369\) | 3.65980 | + | 4.48592i | 0.190522 | + | 0.233528i | ||||
\(370\) | 25.3902 | + | 7.44506i | 1.31997 | + | 0.387050i | ||||
\(371\) | −6.58214 | − | 2.93056i | −0.341728 | − | 0.152147i | ||||
\(372\) | −13.4090 | − | 24.5892i | −0.695224 | − | 1.27489i | ||||
\(373\) | 23.8047 | + | 5.05984i | 1.23256 | + | 0.261989i | 0.777735 | − | 0.628593i | \(-0.216369\pi\) |
0.454824 | + | 0.890581i | \(0.349702\pi\) | |||||||
\(374\) | 0.232754 | − | 0.403141i | 0.0120354 | − | 0.0208459i | ||||
\(375\) | 12.3377 | + | 14.9259i | 0.637116 | + | 0.770768i | ||||
\(376\) | 10.4239 | + | 18.0548i | 0.537573 | + | 0.931104i | ||||
\(377\) | −2.11814 | − | 6.51896i | −0.109090 | − | 0.335744i | ||||
\(378\) | 27.1623 | + | 7.88441i | 1.39708 | + | 0.405530i | ||||
\(379\) | −4.12810 | + | 2.99924i | −0.212046 | + | 0.154061i | −0.688739 | − | 0.725009i | \(-0.741835\pi\) |
0.476693 | + | 0.879070i | \(0.341835\pi\) | |||||||
\(380\) | −17.3989 | − | 71.6040i | −0.892547 | − | 3.67321i | ||||
\(381\) | −0.658593 | − | 2.20857i | −0.0337408 | − | 0.113149i | ||||
\(382\) | 31.6759 | − | 54.8643i | 1.62068 | − | 2.80710i | ||||
\(383\) | −18.7507 | + | 8.34835i | −0.958116 | + | 0.426581i | −0.825384 | − | 0.564571i | \(-0.809042\pi\) |
−0.132732 | + | 0.991152i | \(0.542375\pi\) | |||||||
\(384\) | 14.8640 | + | 7.05651i | 0.758525 | + | 0.360101i | ||||
\(385\) | 22.4266 | − | 13.8280i | 1.14296 | − | 0.704738i | ||||
\(386\) | 21.0179 | + | 64.6866i | 1.06979 | + | 3.29246i | ||||
\(387\) | 0.849124 | + | 1.65158i | 0.0431634 | + | 0.0839544i | ||||
\(388\) | −15.8857 | + | 48.8913i | −0.806476 | + | 2.48208i | ||||
\(389\) | −7.98747 | + | 8.87098i | −0.404981 | + | 0.449777i | −0.910791 | − | 0.412868i | \(-0.864527\pi\) |
0.505810 | + | 0.862645i | \(0.331194\pi\) | |||||||
\(390\) | 15.8718 | − | 14.4230i | 0.803700 | − | 0.730338i | ||||
\(391\) | −0.0824586 | − | 0.0915796i | −0.00417011 | − | 0.00463138i | ||||
\(392\) | −20.4465 | + | 9.10336i | −1.03270 | + | 0.459789i | ||||
\(393\) | −27.2041 | + | 11.3265i | −1.37226 | + | 0.571346i | ||||
\(394\) | 4.26038 | − | 40.5348i | 0.214635 | − | 2.04211i | ||||
\(395\) | −25.2916 | + | 9.03455i | −1.27256 | + | 0.454577i | ||||
\(396\) | 67.5105 | + | 54.2623i | 3.39253 | + | 2.72678i | ||||
\(397\) | −11.3426 | + | 8.24087i | −0.569268 | + | 0.413597i | −0.834839 | − | 0.550494i | \(-0.814439\pi\) |
0.265571 | + | 0.964091i | \(0.414439\pi\) | |||||||
\(398\) | −5.66317 | + | 6.28959i | −0.283869 | + | 0.315269i | ||||
\(399\) | 2.99836 | − | 23.1004i | 0.150106 | − | 1.15646i | ||||
\(400\) | 9.09899 | + | 55.4729i | 0.454949 | + | 2.77364i | ||||
\(401\) | −0.970609 | + | 1.68114i | −0.0484699 | + | 0.0839523i | −0.889242 | − | 0.457436i | \(-0.848768\pi\) |
0.840773 | + | 0.541388i | \(0.182101\pi\) | |||||||
\(402\) | −1.07332 | + | 3.04863i | −0.0535324 | + | 0.152052i | ||||
\(403\) | −6.13306 | − | 2.73062i | −0.305510 | − | 0.136022i | ||||
\(404\) | −8.70247 | + | 6.32271i | −0.432964 | + | 0.314567i | ||||
\(405\) | −15.8421 | + | 12.4109i | −0.787198 | + | 0.616700i | ||||
\(406\) | 14.4531 | + | 10.5008i | 0.717296 | + | 0.521146i | ||||
\(407\) | 12.8073 | + | 22.1829i | 0.634835 | + | 1.09957i | ||||
\(408\) | 0.121644 | + | 0.407930i | 0.00602229 | + | 0.0201955i | ||||
\(409\) | 7.32900 | + | 8.13967i | 0.362396 | + | 0.402481i | 0.896576 | − | 0.442889i | \(-0.146047\pi\) |
−0.534181 | + | 0.845370i | \(0.679380\pi\) | |||||||
\(410\) | −8.27773 | + | 7.89864i | −0.408808 | + | 0.390086i | ||||
\(411\) | −8.46731 | + | 1.58530i | −0.417662 | + | 0.0781973i | ||||
\(412\) | 5.94233 | − | 1.26308i | 0.292757 | − | 0.0622275i | ||||
\(413\) | 5.15382 | − | 15.8618i | 0.253603 | − | 0.780509i | ||||
\(414\) | 26.8119 | − | 17.5513i | 1.31774 | − | 0.862598i | ||||
\(415\) | −17.9853 | − | 23.3059i | −0.882863 | − | 1.14404i | ||||
\(416\) | 28.0696 | − | 5.96637i | 1.37622 | − | 0.292525i | ||||
\(417\) | 22.3149 | + | 5.31430i | 1.09277 | + | 0.260242i | ||||
\(418\) | 49.8489 | − | 86.3409i | 2.43819 | − | 4.22307i | ||||
\(419\) | 15.2038 | − | 6.76918i | 0.742755 | − | 0.330696i | −0.000233416 | − | 1.00000i | \(-0.500074\pi\) |
0.742989 | + | 0.669304i | \(0.233408\pi\) | |||||||
\(420\) | −8.13632 | + | 39.1581i | −0.397012 | + | 1.91072i | ||||
\(421\) | 7.03341 | + | 3.13148i | 0.342787 | + | 0.152619i | 0.570908 | − | 0.821014i | \(-0.306591\pi\) |
−0.228120 | + | 0.973633i | \(0.573258\pi\) | |||||||
\(422\) | 57.0504 | − | 41.4495i | 2.77717 | − | 2.01773i | ||||
\(423\) | −6.94872 | − | 3.50868i | −0.337858 | − | 0.170598i | ||||
\(424\) | 28.1990 | 1.36946 | ||||||||
\(425\) | −0.0955956 | + | 0.119387i | −0.00463707 | + | 0.00579112i | ||||
\(426\) | 2.78546 | − | 21.4601i | 0.134956 | − | 1.03975i | ||||
\(427\) | −16.5608 | − | 3.52010i | −0.801432 | − | 0.170350i | ||||
\(428\) | 5.86794 | + | 55.8297i | 0.283638 | + | 2.69863i | ||||
\(429\) | 20.7554 | + | 0.505615i | 1.00208 | + | 0.0244113i | ||||
\(430\) | −3.12399 | + | 1.92622i | −0.150652 | + | 0.0928904i | ||||
\(431\) | −26.1475 | − | 18.9973i | −1.25948 | − | 0.915066i | −0.260748 | − | 0.965407i | \(-0.583969\pi\) |
−0.998732 | + | 0.0503406i | \(0.983969\pi\) | |||||||
\(432\) | −57.8771 | + | 7.94211i | −2.78461 | + | 0.382115i | ||||
\(433\) | −25.4573 | − | 18.4958i | −1.22340 | − | 0.888852i | −0.227022 | − | 0.973890i | \(-0.572899\pi\) |
−0.996378 | + | 0.0850377i | \(0.972899\pi\) | |||||||
\(434\) | 17.1153 | − | 3.63796i | 0.821558 | − | 0.174628i | ||||
\(435\) | −12.0713 | + | 3.98334i | −0.578776 | + | 0.190986i | ||||
\(436\) | −45.5685 | − | 9.68589i | −2.18234 | − | 0.463870i | ||||
\(437\) | −17.6602 | − | 19.6136i | −0.844801 | − | 0.938246i | ||||
\(438\) | 34.2702 | + | 16.2694i | 1.63750 | + | 0.777382i | ||||
\(439\) | −12.1190 | + | 13.4595i | −0.578409 | + | 0.642389i | −0.959353 | − | 0.282210i | \(-0.908933\pi\) |
0.380943 | + | 0.924598i | \(0.375599\pi\) | |||||||
\(440\) | −58.1719 | + | 85.1411i | −2.77324 | + | 4.05894i | ||||
\(441\) | 4.52592 | − | 7.02528i | 0.215520 | − | 0.334537i | ||||
\(442\) | 0.137032 | + | 0.0995598i | 0.00651797 | + | 0.00473558i | ||||
\(443\) | −19.3559 | − | 33.5254i | −0.919626 | − | 1.59284i | −0.799984 | − | 0.600022i | \(-0.795159\pi\) |
−0.119642 | − | 0.992817i | \(-0.538175\pi\) | |||||||
\(444\) | −37.8249 | − | 9.00802i | −1.79509 | − | 0.427502i | ||||
\(445\) | −12.7312 | − | 6.86722i | −0.603517 | − | 0.325538i | ||||
\(446\) | 4.73731 | + | 45.0725i | 0.224318 | + | 2.13425i | ||||
\(447\) | 12.8524 | − | 21.0593i | 0.607897 | − | 0.996072i | ||||
\(448\) | −19.1590 | + | 21.2783i | −0.905179 | + | 1.00530i | ||||
\(449\) | −4.76841 | −0.225035 | −0.112518 | − | 0.993650i | \(-0.535891\pi\) | ||||
−0.112518 | + | 0.993650i | \(0.535891\pi\) | |||||||
\(450\) | −26.8818 | − | 29.3116i | −1.26722 | − | 1.38176i | ||||
\(451\) | −11.0763 | −0.521564 | ||||||||
\(452\) | −29.4228 | + | 32.6773i | −1.38393 | + | 1.53701i | ||||
\(453\) | 15.7054 | + | 28.8004i | 0.737905 | + | 1.35316i | ||||
\(454\) | 3.41584 | + | 32.4995i | 0.160313 | + | 1.52528i | ||||
\(455\) | 4.15096 | + | 8.64144i | 0.194600 | + | 0.405117i | ||||
\(456\) | 26.0526 | + | 87.3665i | 1.22002 | + | 4.09131i | ||||
\(457\) | 2.37786 | + | 4.11857i | 0.111232 | + | 0.192659i | 0.916267 | − | 0.400568i | \(-0.131187\pi\) |
−0.805035 | + | 0.593227i | \(0.797854\pi\) | |||||||
\(458\) | −44.0648 | − | 32.0149i | −2.05901 | − | 1.49596i | ||||
\(459\) | −0.121425 | − | 0.102563i | −0.00566763 | − | 0.00478722i | ||||
\(460\) | 27.6845 | + | 35.8744i | 1.29079 | + | 1.67265i | ||||
\(461\) | 5.92471 | − | 6.58006i | 0.275941 | − | 0.306464i | −0.589205 | − | 0.807984i | \(-0.700559\pi\) |
0.865146 | + | 0.501520i | \(0.167226\pi\) | |||||||
\(462\) | −44.5389 | + | 30.7305i | −2.07214 | + | 1.42971i | ||||
\(463\) | 1.03602 | + | 1.15062i | 0.0481481 | + | 0.0534739i | 0.766738 | − | 0.641960i | \(-0.221879\pi\) |
−0.718590 | + | 0.695434i | \(0.755212\pi\) | |||||||
\(464\) | −36.0939 | − | 7.67199i | −1.67562 | − | 0.356163i | ||||
\(465\) | −5.01186 | + | 11.3968i | −0.232419 | + | 0.528514i | ||||
\(466\) | −21.4362 | + | 4.55641i | −0.993015 | + | 0.211072i | ||||
\(467\) | 27.9575 | + | 20.3123i | 1.29372 | + | 0.939942i | 0.999873 | − | 0.0159111i | \(-0.00506487\pi\) |
0.293846 | + | 0.955853i | \(0.405065\pi\) | |||||||
\(468\) | −22.2036 | + | 22.3662i | −1.02636 | + | 1.03388i | ||||
\(469\) | −1.16884 | − | 0.849213i | −0.0539721 | − | 0.0392130i | ||||
\(470\) | 5.84810 | − | 14.2291i | 0.269753 | − | 0.656339i | ||||
\(471\) | 8.56782 | − | 14.0388i | 0.394784 | − | 0.646875i | ||||
\(472\) | 6.82304 | + | 64.9169i | 0.314056 | + | 2.98804i | ||||
\(473\) | −3.47530 | − | 0.738698i | −0.159794 | − | 0.0339654i | ||||
\(474\) | 50.9215 | − | 21.2013i | 2.33890 | − | 0.973807i | ||||
\(475\) | −20.4737 | + | 25.5691i | −0.939399 | + | 1.17319i | ||||
\(476\) | −0.315875 | −0.0144781 | ||||||||
\(477\) | −8.80950 | + | 5.76676i | −0.403359 | + | 0.264042i | ||||
\(478\) | 38.7350 | − | 28.1427i | 1.77170 | − | 1.28722i | ||||
\(479\) | −22.3481 | − | 9.95002i | −1.02111 | − | 0.454628i | −0.173268 | − | 0.984875i | \(-0.555433\pi\) |
−0.847843 | + | 0.530247i | \(0.822099\pi\) | |||||||
\(480\) | −11.3026 | − | 52.0038i | −0.515890 | − | 2.37364i | ||||
\(481\) | −8.51445 | + | 3.79088i | −0.388226 | + | 0.172849i | ||||
\(482\) | −17.1839 | + | 29.7633i | −0.782704 | + | 1.35568i | ||||
\(483\) | 4.09352 | + | 13.7275i | 0.186262 | + | 0.624622i | ||||
\(484\) | −107.966 | + | 22.9488i | −4.90753 | + | 1.04313i | ||||
\(485\) | 21.5200 | − | 7.68730i | 0.977175 | − | 0.349062i | ||||
\(486\) | 31.1831 | − | 27.1286i | 1.41449 | − | 1.23058i | ||||
\(487\) | 1.67643 | − | 5.15952i | 0.0759663 | − | 0.233800i | −0.905862 | − | 0.423574i | \(-0.860775\pi\) |
0.981828 | + | 0.189774i | \(0.0607754\pi\) | |||||||
\(488\) | 64.8153 | − | 13.7769i | 2.93405 | − | 0.623652i | ||||
\(489\) | −5.43567 | + | 15.4393i | −0.245810 | + | 0.698190i | ||||
\(490\) | 14.5359 | + | 7.84067i | 0.656664 | + | 0.354205i | ||||
\(491\) | 14.7320 | + | 16.3615i | 0.664845 | + | 0.738385i | 0.977373 | − | 0.211523i | \(-0.0678424\pi\) |
−0.312528 | + | 0.949909i | \(0.601176\pi\) | |||||||
\(492\) | 11.5516 | − | 12.2174i | 0.520784 | − | 0.550801i | ||||
\(493\) | −0.0501978 | − | 0.0869451i | −0.00226080 | − | 0.00391581i | ||||
\(494\) | 29.3482 | + | 21.3227i | 1.32044 | + | 0.959356i | ||||
\(495\) | 0.761622 | − | 38.4948i | 0.0342324 | − | 1.73021i | ||||
\(496\) | −29.2390 | + | 21.2433i | −1.31287 | + | 0.953854i | ||||
\(497\) | 8.83709 | + | 3.93453i | 0.396398 | + | 0.176488i | ||||
\(498\) | 39.3504 | + | 45.9036i | 1.76334 | + | 2.05699i | ||||
\(499\) | −20.3177 | + | 35.1912i | −0.909544 | + | 1.57538i | −0.0948451 | + | 0.995492i | \(0.530236\pi\) |
−0.814699 | + | 0.579884i | \(0.803098\pi\) | |||||||
\(500\) | 38.3751 | − | 41.1128i | 1.71619 | − | 1.83862i | ||||
\(501\) | −23.7569 | + | 9.89122i | −1.06138 | + | 0.441907i | ||||
\(502\) | −14.2413 | + | 15.8166i | −0.635621 | + | 0.705928i | ||||
\(503\) | 32.8363 | − | 23.8569i | 1.46410 | − | 1.06373i | 0.481825 | − | 0.876268i | \(-0.339974\pi\) |
0.982272 | − | 0.187461i | \(-0.0600258\pi\) | |||||||
\(504\) | 7.56237 | − | 48.9009i | 0.336855 | − | 2.17822i | ||||
\(505\) | 4.58849 | + | 1.34546i | 0.204185 | + | 0.0598723i | ||||
\(506\) | −6.40861 | + | 60.9738i | −0.284897 | + | 2.71062i | ||||
\(507\) | 1.92591 | − | 14.8378i | 0.0855326 | − | 0.658971i | ||||
\(508\) | −6.11460 | + | 2.72240i | −0.271292 | + | 0.120787i | ||||
\(509\) | −29.6993 | − | 32.9844i | −1.31640 | − | 1.46201i | −0.791983 | − | 0.610543i | \(-0.790951\pi\) |
−0.524414 | − | 0.851463i | \(-0.675716\pi\) | |||||||
\(510\) | 0.183470 | − | 0.254968i | 0.00812417 | − | 0.0112902i | ||||
\(511\) | −11.3470 | + | 12.6022i | −0.501963 | + | 0.557487i | ||||
\(512\) | −8.08909 | + | 24.8957i | −0.357491 | + | 1.10024i | ||||
\(513\) | −26.0056 | − | 21.9659i | −1.14817 | − | 0.969817i | ||||
\(514\) | −11.3472 | − | 34.9231i | −0.500503 | − | 1.54039i | ||||
\(515\) | −2.05831 | − | 1.74820i | −0.0907000 | − | 0.0770349i | ||||
\(516\) | 4.43921 | − | 3.06292i | 0.195425 | − | 0.134837i | ||||
\(517\) | 13.6053 | − | 6.05749i | 0.598362 | − | 0.266408i | ||||
\(518\) | 12.1459 | − | 21.0372i | 0.533658 | − | 0.924323i | ||||
\(519\) | 7.90168 | − | 8.35711i | 0.346845 | − | 0.366837i | ||||
\(520\) | −28.5975 | − | 24.2889i | −1.25408 | − | 1.06514i | ||||
\(521\) | −7.98161 | + | 5.79898i | −0.349681 | + | 0.254058i | −0.748735 | − | 0.662869i | \(-0.769338\pi\) |
0.399054 | + | 0.916927i | \(0.369338\pi\) | |||||||
\(522\) | 24.3388 | − | 9.44482i | 1.06528 | − | 0.413389i | ||||
\(523\) | −2.46257 | − | 7.57903i | −0.107681 | − | 0.331408i | 0.882669 | − | 0.469994i | \(-0.155744\pi\) |
−0.990350 | + | 0.138587i | \(0.955744\pi\) | |||||||
\(524\) | 42.7904 | + | 74.1151i | 1.86931 | + | 3.23773i | ||||
\(525\) | 15.9902 | − | 7.77115i | 0.697868 | − | 0.339161i | ||||
\(526\) | 20.7558 | − | 35.9502i | 0.904998 | − | 1.56750i | ||||
\(527\) | −0.0961821 | − | 0.0204441i | −0.00418976 | − | 0.000890561i | ||||
\(528\) | 58.2246 | − | 95.4041i | 2.53390 | − | 4.15193i | ||||
\(529\) | −6.18440 | − | 2.75347i | −0.268887 | − | 0.119716i | ||||
\(530\) | −12.7128 | − | 16.4736i | −0.552208 | − | 0.715569i | ||||
\(531\) | −15.4072 | − | 18.8850i | −0.668615 | − | 0.819540i | ||||
\(532\) | −67.6511 | −2.93305 | ||||||||
\(533\) | 0.421278 | − | 4.00819i | 0.0182476 | − | 0.173614i | ||||
\(534\) | 26.8380 | + | 12.7410i | 1.16139 | + | 0.551359i | ||||
\(535\) | 18.0540 | − | 17.2272i | 0.780543 | − | 0.744797i | ||||
\(536\) | 5.53094 | + | 1.17564i | 0.238900 | + | 0.0507798i | ||||
\(537\) | −6.96217 | + | 4.80369i | −0.300440 | + | 0.207295i | ||||
\(538\) | −18.0592 | + | 3.83860i | −0.778588 | + | 0.165494i | ||||
\(539\) | 4.94071 | + | 15.2059i | 0.212811 | + | 0.654966i | ||||
\(540\) | 41.6660 | + | 40.9865i | 1.79302 | + | 1.76378i | ||||
\(541\) | −3.72498 | + | 11.4643i | −0.160149 | + | 0.492889i | −0.998646 | − | 0.0520177i | \(-0.983435\pi\) |
0.838497 | + | 0.544906i | \(0.183435\pi\) | |||||||
\(542\) | 5.02858 | − | 47.8437i | 0.215996 | − | 2.05506i | ||||
\(543\) | 14.6006 | + | 11.1611i | 0.626570 | + | 0.478971i | ||||
\(544\) | 0.383976 | − | 0.170957i | 0.0164628 | − | 0.00732972i | ||||
\(545\) | 8.96676 | + | 18.6670i | 0.384094 | + | 0.799605i | ||||
\(546\) | −9.42646 | − | 17.2861i | −0.403415 | − | 0.739778i | ||||
\(547\) | 1.14311 | + | 0.508944i | 0.0488757 | + | 0.0217609i | 0.431029 | − | 0.902338i | \(-0.358151\pi\) |
−0.382153 | + | 0.924099i | \(0.624817\pi\) | |||||||
\(548\) | 7.73103 | + | 23.7937i | 0.330253 | + | 1.01642i | ||||
\(549\) | −17.4312 | + | 17.5588i | −0.743945 | + | 0.749393i | ||||
\(550\) | 75.9640 | − | 4.40007i | 3.23912 | − | 0.187620i | ||||
\(551\) | −10.7509 | − | 18.6211i | −0.458003 | − | 0.793284i | ||||
\(552\) | −36.4886 | − | 42.5651i | −1.55306 | − | 1.81169i | ||||
\(553\) | 2.57732 | + | 24.5216i | 0.109599 | + | 1.04276i | ||||
\(554\) | 4.35229 | + | 41.4092i | 0.184911 | + | 1.75931i | ||||
\(555\) | 7.10232 | + | 15.7577i | 0.301477 | + | 0.668878i | ||||
\(556\) | 6.96364 | − | 66.2547i | 0.295324 | − | 2.80982i | ||||
\(557\) | −44.8687 | −1.90115 | −0.950574 | − | 0.310498i | \(-0.899504\pi\) | ||||
−0.950574 | + | 0.310498i | \(0.899504\pi\) | |||||||
\(558\) | 9.07640 | − | 23.9051i | 0.384235 | − | 1.01199i | ||||
\(559\) | 0.399493 | − | 1.22951i | 0.0168967 | − | 0.0520028i | ||||
\(560\) | 51.4609 | + | 3.90774i | 2.17462 | + | 0.165132i | ||||
\(561\) | 0.298897 | − | 0.0559613i | 0.0126194 | − | 0.00236269i | ||||
\(562\) | −34.1946 | − | 37.9770i | −1.44241 | − | 1.60196i | ||||
\(563\) | 26.2271 | + | 29.1282i | 1.10534 | + | 1.22761i | 0.971610 | + | 0.236589i | \(0.0760295\pi\) |
0.133732 | + | 0.991018i | \(0.457304\pi\) | |||||||
\(564\) | −7.50758 | + | 21.3243i | −0.316126 | + | 0.897915i | ||||
\(565\) | 19.4904 | + | 1.48002i | 0.819966 | + | 0.0622650i | ||||
\(566\) | 5.18358 | − | 15.9534i | 0.217882 | − | 0.670573i | ||||
\(567\) | 7.63782 | + | 16.8234i | 0.320758 | + | 0.706516i | ||||
\(568\) | −37.8596 | −1.58855 | ||||||||
\(569\) | 2.71156 | − | 25.7988i | 0.113675 | − | 1.08154i | −0.777813 | − | 0.628496i | \(-0.783671\pi\) |
0.891487 | − | 0.453046i | \(-0.149663\pi\) | |||||||
\(570\) | 39.2937 | − | 54.6066i | 1.64583 | − | 2.28722i | ||||
\(571\) | −1.13569 | − | 10.8054i | −0.0475272 | − | 0.452191i | −0.992244 | − | 0.124304i | \(-0.960330\pi\) |
0.944717 | − | 0.327887i | \(-0.106337\pi\) | |||||||
\(572\) | −6.30264 | − | 59.9656i | −0.263527 | − | 2.50729i | ||||
\(573\) | 40.6774 | − | 7.61589i | 1.69932 | − | 0.318158i | ||||
\(574\) | 5.25213 | + | 9.09696i | 0.219220 | + | 0.379700i | ||||
\(575\) | 5.10644 | − | 19.4854i | 0.212953 | − | 0.812599i | ||||
\(576\) | 10.9770 | + | 40.3771i | 0.457376 | + | 1.68238i | ||||
\(577\) | −1.77776 | − | 5.47137i | −0.0740090 | − | 0.227776i | 0.907208 | − | 0.420681i | \(-0.138209\pi\) |
−0.981217 | + | 0.192905i | \(0.938209\pi\) | |||||||
\(578\) | −41.1756 | − | 18.3326i | −1.71268 | − | 0.762534i | ||||
\(579\) | −23.1458 | + | 37.9257i | −0.961909 | + | 1.57614i | ||||
\(580\) | 15.9847 | + | 33.2770i | 0.663730 | + | 1.38175i | ||||
\(581\) | −24.6905 | + | 10.9929i | −1.02433 | + | 0.456062i | ||||
\(582\) | −43.3280 | + | 18.0397i | −1.79600 | + | 0.747770i | ||||
\(583\) | 2.10565 | − | 20.0339i | 0.0872072 | − | 0.829721i | ||||
\(584\) | 20.5093 | − | 63.1211i | 0.848680 | − | 2.61197i | ||||
\(585\) | 13.9011 | + | 1.73972i | 0.574742 | + | 0.0719287i | ||||
\(586\) | −18.5260 | − | 57.0173i | −0.765304 | − | 2.35536i | ||||
\(587\) | −6.76644 | + | 1.43825i | −0.279281 | + | 0.0593630i | −0.345423 | − | 0.938447i | \(-0.612264\pi\) |
0.0661417 | + | 0.997810i | \(0.478931\pi\) | |||||||
\(588\) | −21.9251 | − | 10.4087i | −0.904174 | − | 0.429246i | ||||
\(589\) | −20.5993 | − | 4.37852i | −0.848781 | − | 0.180414i | ||||
\(590\) | 34.8480 | − | 33.2520i | 1.43467 | − | 1.36896i | ||||
\(591\) | 21.9148 | − | 15.1205i | 0.901454 | − | 0.621976i | ||||
\(592\) | −5.24467 | + | 49.8997i | −0.215555 | + | 2.05086i | ||||
\(593\) | 18.6586 | 0.766219 | 0.383109 | − | 0.923703i | \(-0.374853\pi\) | ||||
0.383109 | + | 0.923703i | \(0.374853\pi\) | |||||||
\(594\) | 2.50253 | + | 79.0369i | 0.102680 | + | 3.24292i | ||||
\(595\) | 0.0857849 | + | 0.111163i | 0.00351684 | + | 0.00455723i | ||||
\(596\) | −65.4565 | − | 29.1431i | −2.68120 | − | 1.19375i | ||||
\(597\) | −5.52708 | − | 0.134643i | −0.226208 | − | 0.00551058i | ||||
\(598\) | −21.8209 | − | 4.63817i | −0.892322 | − | 0.189669i | ||||
\(599\) | −3.61776 | + | 6.26614i | −0.147818 | + | 0.256027i | −0.930421 | − | 0.366494i | \(-0.880558\pi\) |
0.782603 | + | 0.622521i | \(0.213892\pi\) | |||||||
\(600\) | −44.8008 | + | 53.2395i | −1.82899 | + | 2.17350i | ||||
\(601\) | 3.28224 | + | 5.68501i | 0.133886 | + | 0.231897i | 0.925171 | − | 0.379550i | \(-0.123921\pi\) |
−0.791286 | + | 0.611447i | \(0.790588\pi\) | |||||||
\(602\) | 1.04122 | + | 3.20453i | 0.0424368 | + | 0.130607i | ||||
\(603\) | −1.96831 | + | 0.763815i | −0.0801559 | + | 0.0311050i | ||||
\(604\) | 77.0755 | − | 55.9986i | 3.13616 | − | 2.27855i | ||||
\(605\) | 37.3972 | + | 31.7629i | 1.52041 | + | 1.29134i | ||||
\(606\) | −9.55350 | − | 2.27517i | −0.388085 | − | 0.0924225i | ||||
\(607\) | −8.23189 | + | 14.2580i | −0.334122 | + | 0.578716i | −0.983316 | − | 0.181907i | \(-0.941773\pi\) |
0.649194 | + | 0.760623i | \(0.275106\pi\) | |||||||
\(608\) | 82.2362 | − | 36.6139i | 3.33512 | − | 1.48489i | ||||
\(609\) | 0.936856 | + | 11.6326i | 0.0379633 | + | 0.471375i | ||||
\(610\) | −37.2686 | − | 31.6536i | −1.50896 | − | 1.28162i | ||||
\(611\) | 1.67456 | + | 5.15376i | 0.0677454 | + | 0.208499i | ||||
\(612\) | −0.249995 | + | 0.388050i | −0.0101054 | + | 0.0156860i | ||||
\(613\) | 5.27406 | − | 16.2319i | 0.213017 | − | 0.655599i | −0.786271 | − | 0.617881i | \(-0.787991\pi\) |
0.999288 | − | 0.0377179i | \(-0.0120088\pi\) | |||||||
\(614\) | 3.52730 | − | 3.91747i | 0.142350 | − | 0.158096i | ||||
\(615\) | −7.43668 | − | 0.747257i | −0.299876 | − | 0.0301323i | ||||
\(616\) | 63.3459 | + | 70.3528i | 2.55228 | + | 2.83459i | ||||
\(617\) | −2.05173 | + | 0.913488i | −0.0825994 | + | 0.0367756i | −0.447621 | − | 0.894224i | \(-0.647728\pi\) |
0.365021 | + | 0.930999i | \(0.381062\pi\) | |||||||
\(618\) | 4.40639 | + | 3.36839i | 0.177251 | + | 0.135496i | ||||
\(619\) | 1.09152 | − | 10.3851i | 0.0438717 | − | 0.417412i | −0.950440 | − | 0.310907i | \(-0.899367\pi\) |
0.994312 | − | 0.106505i | \(-0.0339660\pi\) | |||||||
\(620\) | 34.6969 | + | 10.1740i | 1.39346 | + | 0.408599i | ||||
\(621\) | 20.1039 | + | 5.83556i | 0.806740 | + | 0.234173i | ||||
\(622\) | −18.8849 | + | 13.7207i | −0.757217 | + | 0.550150i | ||||
\(623\) | −8.88620 | + | 9.86912i | −0.356018 | + | 0.395398i | ||||
\(624\) | 32.3094 | + | 24.6984i | 1.29341 | + | 0.988726i | ||||
\(625\) | −24.8903 | − | 2.33964i | −0.995611 | − | 0.0935856i | ||||
\(626\) | −43.5247 | + | 75.3870i | −1.73960 | + | 3.01307i | ||||
\(627\) | 64.0147 | − | 11.9853i | 2.55650 | − | 0.478645i | ||||
\(628\) | −43.6354 | − | 19.4277i | −1.74124 | − | 0.775251i | ||||
\(629\) | −0.110440 | + | 0.0802394i | −0.00440353 | + | 0.00319936i | ||||
\(630\) | −31.9768 | + | 17.6278i | −1.27399 | + | 0.702308i | ||||
\(631\) | 3.19101 | + | 2.31840i | 0.127032 | + | 0.0922941i | 0.649487 | − | 0.760373i | \(-0.274984\pi\) |
−0.522455 | + | 0.852667i | \(0.674984\pi\) | |||||||
\(632\) | −48.2504 | − | 83.5722i | −1.91930 | − | 3.32432i | ||||
\(633\) | 44.8123 | + | 10.6721i | 1.78113 | + | 0.424177i | ||||
\(634\) | 27.7270 | + | 30.7939i | 1.10118 | + | 1.22298i | ||||
\(635\) | 2.61866 | + | 1.41251i | 0.103918 | + | 0.0560537i | ||||
\(636\) | 19.9018 | + | 23.2161i | 0.789156 | + | 0.920577i | ||||
\(637\) | −5.69049 | + | 1.20955i | −0.225465 | + | 0.0479242i | ||||
\(638\) | −15.4348 | + | 47.5034i | −0.611070 | + | 1.88068i | ||||
\(639\) | 11.8275 | − | 7.74237i | 0.467889 | − | 0.306283i | ||||
\(640\) | −20.0040 | + | 7.14574i | −0.790727 | + | 0.282460i | ||||
\(641\) | −12.9263 | + | 2.74756i | −0.510557 | + | 0.108522i | −0.455985 | − | 0.889988i | \(-0.650713\pi\) |
−0.0545722 | + | 0.998510i | \(0.517380\pi\) | |||||||
\(642\) | −35.2115 | + | 37.2410i | −1.38969 | + | 1.46978i | ||||
\(643\) | −7.49326 | + | 12.9787i | −0.295505 | + | 0.511831i | −0.975102 | − | 0.221755i | \(-0.928821\pi\) |
0.679597 | + | 0.733586i | \(0.262155\pi\) | |||||||
\(644\) | 38.0056 | − | 16.9212i | 1.49763 | − | 0.666789i | ||||
\(645\) | −2.28349 | − | 0.730424i | −0.0899125 | − | 0.0287604i | ||||
\(646\) | 0.485397 | + | 0.216113i | 0.0190977 | + | 0.00850284i | ||||
\(647\) | −40.6013 | + | 29.4986i | −1.59620 | + | 1.15971i | −0.701867 | + | 0.712308i | \(0.747650\pi\) |
−0.894334 | + | 0.447400i | \(0.852350\pi\) | |||||||
\(648\) | −54.0892 | − | 47.9922i | −2.12482 | − | 1.88531i | ||||
\(649\) | 46.6296 | 1.83037 | ||||||||
\(650\) | −1.29697 | + | 27.6565i | −0.0508714 | + | 1.08478i | ||||
\(651\) | 9.08088 | + | 6.94172i | 0.355908 | + | 0.272068i | ||||
\(652\) | 46.4980 | + | 9.88345i | 1.82100 | + | 0.387066i | ||||
\(653\) | −0.734841 | − | 6.99155i | −0.0287566 | − | 0.273600i | −0.999447 | − | 0.0332654i | \(-0.989409\pi\) |
0.970690 | − | 0.240335i | \(-0.0772573\pi\) | |||||||
\(654\) | −20.3627 | − | 37.3409i | −0.796246 | − | 1.46015i | ||||
\(655\) | 14.4617 | − | 35.1868i | 0.565064 | − | 1.37486i | ||||
\(656\) | −17.5529 | − | 12.7529i | −0.685325 | − | 0.497918i | ||||
\(657\) | 6.50121 | + | 23.9135i | 0.253636 | + | 0.932955i | ||||
\(658\) | −11.4263 | − | 8.30172i | −0.445445 | − | 0.323635i | ||||
\(659\) | −34.6451 | + | 7.36404i | −1.34958 | + | 0.286862i | −0.825306 | − | 0.564686i | \(-0.808997\pi\) |
−0.524276 | + | 0.851549i | \(0.675664\pi\) | |||||||
\(660\) | −111.152 | + | 12.1967i | −4.32657 | + | 0.474756i | ||||
\(661\) | 5.03987 | + | 1.07126i | 0.196028 | + | 0.0416671i | 0.304879 | − | 0.952391i | \(-0.401384\pi\) |
−0.108851 | + | 0.994058i | \(0.534717\pi\) | |||||||
\(662\) | −38.3583 | − | 42.6012i | −1.49084 | − | 1.65574i | ||||
\(663\) | 0.00888249 | + | 0.110290i | 0.000344967 | + | 0.00428332i | ||||
\(664\) | 70.7794 | − | 78.6085i | 2.74677 | − | 3.05060i | ||||
\(665\) | 18.3726 | + | 23.8078i | 0.712457 | + | 0.923226i | ||||
\(666\) | −16.2314 | − | 31.5707i | −0.628954 | − | 1.22334i | ||||
\(667\) | 10.6973 | + | 7.77205i | 0.414201 | + | 0.300935i | ||||
\(668\) | 37.3681 | + | 64.7234i | 1.44581 | + | 2.50422i | ||||
\(669\) | −20.3399 | + | 21.5122i | −0.786386 | + | 0.831711i | ||||
\(670\) | −1.80668 | − | 3.76114i | −0.0697982 | − | 0.145306i | ||||
\(671\) | −4.94796 | − | 47.0767i | −0.191014 | − | 1.81737i | ||||
\(672\) | −48.8438 | − | 1.18987i | −1.88419 | − | 0.0459001i | ||||
\(673\) | 13.1777 | − | 14.6353i | 0.507962 | − | 0.564149i | −0.433550 | − | 0.901130i | \(-0.642739\pi\) |
0.941511 | + | 0.336981i | \(0.109406\pi\) | |||||||
\(674\) | 37.7518 | 1.45414 | ||||||||
\(675\) | 3.10838 | − | 25.7941i | 0.119642 | − | 0.992817i | ||||
\(676\) | −43.4536 | −1.67129 | ||||||||
\(677\) | −5.89101 | + | 6.54263i | −0.226410 | + | 0.251454i | −0.845637 | − | 0.533758i | \(-0.820779\pi\) |
0.619227 | + | 0.785212i | \(0.287446\pi\) | |||||||
\(678\) | −40.1329 | − | 0.977664i | −1.54130 | − | 0.0375470i | ||||
\(679\) | −2.19299 | − | 20.8649i | −0.0841592 | − | 0.800721i | ||||
\(680\) | −0.483675 | − | 0.260895i | −0.0185481 | − | 0.0100049i | ||||
\(681\) | −14.6661 | + | 15.5114i | −0.562005 | + | 0.594397i | ||||
\(682\) | 24.4604 | + | 42.3667i | 0.936638 | + | 1.62230i | ||||
\(683\) | −22.8601 | − | 16.6088i | −0.874716 | − | 0.635519i | 0.0571320 | − | 0.998367i | \(-0.481804\pi\) |
−0.931848 | + | 0.362848i | \(0.881804\pi\) | |||||||
\(684\) | −53.5414 | + | 83.1087i | −2.04721 | + | 3.17774i | ||||
\(685\) | 6.27389 | − | 9.18255i | 0.239713 | − | 0.350847i | ||||
\(686\) | 35.6411 | − | 39.5834i | 1.36078 | − | 1.51130i | ||||
\(687\) | −2.85629 | − | 35.4655i | −0.108974 | − | 1.35309i | ||||
\(688\) | −4.65687 | − | 5.17198i | −0.177542 | − | 0.197180i | ||||
\(689\) | 7.16960 | + | 1.52395i | 0.273140 | + | 0.0580577i | ||||
\(690\) | −8.41632 | + | 40.5057i | −0.320404 | + | 1.54203i | ||||
\(691\) | 49.4141 | − | 10.5033i | 1.87980 | − | 0.399564i | 0.882330 | − | 0.470631i | \(-0.155974\pi\) |
0.997472 | + | 0.0710668i | \(0.0226403\pi\) | |||||||
\(692\) | −27.0227 | − | 19.6332i | −1.02725 | − | 0.746341i | ||||
\(693\) | −34.1769 | − | 9.02416i | −1.29827 | − | 0.342799i | ||||
\(694\) | −40.7262 | − | 29.5893i | −1.54594 | − | 1.12319i | ||||
\(695\) | −25.2075 | + | 15.5427i | −0.956176 | + | 0.589567i | ||||
\(696\) | −21.8673 | − | 40.0999i | −0.828877 | − | 1.51998i | ||||
\(697\) | −0.00617037 | − | 0.0587072i | −0.000233719 | − | 0.00222369i | ||||
\(698\) | −6.54293 | − | 1.39074i | −0.247653 | − | 0.0526404i | ||||
\(699\) | −11.3735 | − | 8.69426i | −0.430184 | − | 0.328847i | ||||
\(700\) | −28.3588 | − | 43.1475i | −1.07186 | − | 1.63082i | ||||
\(701\) | 30.7464 | 1.16128 | 0.580638 | − | 0.814162i | \(-0.302803\pi\) | ||||
0.580638 | + | 0.814162i | \(0.302803\pi\) | |||||||
\(702\) | −28.6963 | − | 2.10051i | −1.08307 | − | 0.0792785i | ||||
\(703\) | −23.6530 | + | 17.1849i | −0.892089 | + | 0.648140i | ||||
\(704\) | −73.1320 | − | 32.5605i | −2.75627 | − | 1.22717i | ||||
\(705\) | 9.54335 | − | 3.14915i | 0.359423 | − | 0.118604i | ||||
\(706\) | 10.7441 | − | 4.78358i | 0.404359 | − | 0.180032i | ||||
\(707\) | 2.19498 | − | 3.80182i | 0.0825509 | − | 0.142982i | ||||
\(708\) | −48.6302 | + | 51.4331i | −1.82764 | + | 1.93298i | ||||
\(709\) | 25.9024 | − | 5.50573i | 0.972787 | − | 0.206772i | 0.306009 | − | 0.952029i | \(-0.401006\pi\) |
0.666778 | + | 0.745257i | \(0.267673\pi\) | |||||||
\(710\) | 17.0680 | + | 22.1173i | 0.640551 | + | 0.830047i | ||||
\(711\) | 32.1643 | + | 16.2410i | 1.20626 | + | 0.609086i | ||||
\(712\) | 16.0614 | − | 49.4320i | 0.601927 | − | 1.85254i | ||||
\(713\) | 12.6677 | − | 2.69259i | 0.474408 | − | 0.100838i | ||||
\(714\) | −0.187691 | − | 0.218948i | −0.00702415 | − | 0.00819391i | ||||
\(715\) | −19.3914 | + | 18.5034i | −0.725199 | + | 0.691987i | ||||
\(716\) | 16.4375 | + | 18.2557i | 0.614298 | + | 0.682247i | ||||
\(717\) | 30.4259 | + | 7.24593i | 1.13627 | + | 0.270604i | ||||
\(718\) | 45.2541 | + | 78.3825i | 1.68887 | + | 2.92521i | ||||
\(719\) | 2.59090 | + | 1.88240i | 0.0966244 | + | 0.0702017i | 0.635048 | − | 0.772472i | \(-0.280980\pi\) |
−0.538424 | + | 0.842674i | \(0.680980\pi\) | |||||||
\(720\) | 45.5286 | − | 60.1266i | 1.69675 | − | 2.24079i | ||||
\(721\) | −2.00579 | + | 1.45730i | −0.0746997 | + | 0.0542725i | ||||
\(722\) | 57.9352 | + | 25.7944i | 2.15613 | + | 0.959969i | ||||
\(723\) | −22.0671 | + | 4.13154i | −0.820684 | + | 0.153654i | ||||
\(724\) | 26.6867 | − | 46.2227i | 0.991802 | − | 1.71785i | ||||
\(725\) | 7.36972 | − | 14.6627i | 0.273705 | − | 0.544557i | ||||
\(726\) | −80.0592 | − | 61.1999i | −2.97128 | − | 2.27134i | ||||
\(727\) | 27.4745 | − | 30.5136i | 1.01897 | − | 1.13169i | 0.0277340 | − | 0.999615i | \(-0.491171\pi\) |
0.991240 | − | 0.132070i | \(-0.0421625\pi\) | |||||||
\(728\) | −27.8679 | + | 20.2472i | −1.03285 | + | 0.750411i | ||||
\(729\) | 26.7122 | + | 3.93162i | 0.989341 | + | 0.145616i | ||||
\(730\) | −46.1209 | + | 16.4751i | −1.70701 | + | 0.609772i | ||||
\(731\) | 0.00197926 | − | 0.0188314i | 7.32057e−5 | − | 0.000696506i | ||||
\(732\) | 57.0865 | + | 43.6388i | 2.10998 | + | 1.61294i | ||||
\(733\) | −38.0712 | + | 16.9504i | −1.40619 | + | 0.626077i | −0.962791 | − | 0.270246i | \(-0.912895\pi\) |
−0.443401 | + | 0.896323i | \(0.646228\pi\) | |||||||
\(734\) | 19.2915 | + | 21.4254i | 0.712062 | + | 0.790825i | ||||
\(735\) | 2.29135 | + | 10.5426i | 0.0845177 | + | 0.388871i | ||||
\(736\) | −37.0413 | + | 41.1386i | −1.36536 | + | 1.51639i | ||||
\(737\) | 1.24823 | − | 3.84166i | 0.0459792 | − | 0.141509i | ||||
\(738\) | 15.3323 | + | 0.747452i | 0.564388 | + | 0.0275141i | ||||
\(739\) | 7.60793 | + | 23.4148i | 0.279862 | + | 0.861327i | 0.987892 | + | 0.155144i | \(0.0495842\pi\) |
−0.708030 | + | 0.706183i | \(0.750416\pi\) | |||||||
\(740\) | 42.7281 | − | 26.3456i | 1.57071 | − | 0.968485i | ||||
\(741\) | 1.90236 | + | 23.6209i | 0.0698851 | + | 0.867735i | ||||
\(742\) | −17.4523 | + | 7.77026i | −0.640694 | + | 0.285255i | ||||
\(743\) | −1.29297 | + | 2.23949i | −0.0474346 | + | 0.0821591i | −0.888768 | − | 0.458358i | \(-0.848438\pi\) |
0.841333 | + | 0.540517i | \(0.181771\pi\) | |||||||
\(744\) | −43.5183 | − | 10.3639i | −1.59546 | − | 0.379959i | ||||
\(745\) | 7.52051 | + | 30.9501i | 0.275530 | + | 1.13392i | ||||
\(746\) | 52.2036 | − | 37.9281i | 1.91131 | − | 1.38865i | ||||
\(747\) | −6.03621 | + | 39.0322i | −0.220853 | + | 1.42811i | ||||
\(748\) | −0.272906 | − | 0.839918i | −0.00997843 | − | 0.0307104i | ||||
\(749\) | −11.4551 | − | 19.8408i | −0.418559 | − | 0.724966i | ||||
\(750\) | 51.2994 | + | 2.17064i | 1.87319 | + | 0.0792607i | ||||
\(751\) | −1.67267 | + | 2.89715i | −0.0610367 | + | 0.105719i | −0.894929 | − | 0.446208i | \(-0.852774\pi\) |
0.833892 | + | 0.551927i | \(0.186107\pi\) | |||||||
\(752\) | 28.5351 | + | 6.06532i | 1.04057 | + | 0.221180i | ||||
\(753\) | −13.8991 | − | 0.338591i | −0.506510 | − | 0.0123389i | ||||
\(754\) | −16.6030 | − | 7.39215i | −0.604647 | − | 0.269206i | ||||
\(755\) | −40.6391 | − | 11.9164i | −1.47901 | − | 0.433683i | ||||
\(756\) | 45.5970 | − | 28.2863i | 1.65835 | − | 1.02876i | ||||
\(757\) | −12.7280 | −0.462606 | −0.231303 | − | 0.972882i | \(-0.574299\pi\) | ||||
−0.231303 | + | 0.972882i | \(0.574299\pi\) | |||||||
\(758\) | −1.41421 | + | 13.4553i | −0.0513662 | + | 0.488717i | ||||
\(759\) | −32.9650 | + | 22.7448i | −1.19655 | + | 0.825586i | ||||
\(760\) | −103.589 | − | 55.8759i | −3.75756 | − | 2.02683i | ||||
\(761\) | 21.8602 | + | 4.64654i | 0.792433 | + | 0.168437i | 0.586307 | − | 0.810089i | \(-0.300581\pi\) |
0.206126 | + | 0.978526i | \(0.433914\pi\) | |||||||
\(762\) | −5.52027 | − | 2.62068i | −0.199978 | − | 0.0949374i | ||||
\(763\) | 18.5969 | − | 3.95290i | 0.673255 | − | 0.143105i | ||||
\(764\) | −37.1403 | − | 114.306i | −1.34369 | − | 4.13545i | ||||
\(765\) | 0.204456 | − | 0.0174078i | 0.00739211 | − | 0.000629380i | ||||
\(766\) | −16.8172 | + | 51.7582i | −0.607632 | + | 1.87010i | ||||
\(767\) | −1.77351 | + | 16.8739i | −0.0640379 | + | 0.609280i | ||||
\(768\) | −4.32845 | + | 1.80216i | −0.156189 | + | 0.0650298i | ||||
\(769\) | 32.4894 | − | 14.4652i | 1.17160 | − | 0.521628i | 0.273691 | − | 0.961818i | \(-0.411755\pi\) |
0.897905 | + | 0.440189i | \(0.145089\pi\) | |||||||
\(770\) | 12.5417 | − | 68.7229i | 0.451972 | − | 2.47660i | ||||
\(771\) | 12.4960 | − | 20.4754i | 0.450033 | − | 0.737402i | ||||
\(772\) | 117.880 | + | 52.4837i | 4.24261 | + | 1.88893i | ||||
\(773\) | 5.00935 | + | 15.4172i | 0.180174 | + | 0.554518i | 0.999832 | − | 0.0183350i | \(-0.00583655\pi\) |
−0.819658 | + | 0.572853i | \(0.805837\pi\) | |||||||
\(774\) | 4.76079 | + | 1.25705i | 0.171123 | + | 0.0451838i | ||||
\(775\) | −5.84249 | − | 14.9736i | −0.209868 | − | 0.537867i | ||||
\(776\) | 41.0552 | + | 71.1097i | 1.47380 | + | 2.55269i | ||||
\(777\) | 15.5974 | − | 2.92025i | 0.559554 | − | 0.104763i | ||||
\(778\) | 3.30840 | + | 31.4773i | 0.118612 | + | 1.12852i | ||||
\(779\) | −1.32151 | − | 12.5733i | −0.0473480 | − | 0.450486i | ||||
\(780\) | −0.186074 | − | 40.6864i | −0.00666252 | − | 1.45681i | ||||
\(781\) | −2.82702 | + | 26.8973i | −0.101159 | + | 0.962461i | ||||
\(782\) | −0.326746 | −0.0116844 | ||||||||
\(783\) | 15.0320 | + | 8.05549i | 0.537198 | + | 0.287880i | ||||
\(784\) | −9.67798 | + | 29.7857i | −0.345642 | + | 1.06378i | ||||
\(785\) | 5.01341 | + | 20.6323i | 0.178936 | + | 0.736399i | ||||
\(786\) | −25.9468 | + | 73.6986i | −0.925493 | + | 2.62874i | ||||
\(787\) | −15.0507 | − | 16.7155i | −0.536499 | − | 0.595843i | 0.412564 | − | 0.910929i | \(-0.364633\pi\) |
−0.949063 | + | 0.315086i | \(0.897967\pi\) | |||||||
\(788\) | −51.7402 | − | 57.4633i | −1.84317 | − | 2.04705i | ||||
\(789\) | 26.6541 | − | 4.99036i | 0.948912 | − | 0.177661i | ||||
\(790\) | −27.0698 | + | 65.8638i | −0.963100 | + | 2.34333i | ||||
\(791\) | 5.54538 | − | 17.0669i | 0.197171 | − | 0.606830i | ||||
\(792\) | 136.562 | − | 22.1403i | 4.85252 | − | 0.786721i | ||||
\(793\) | 17.2238 | 0.611636 | ||||||||
\(794\) | −3.88574 | + | 36.9704i | −0.137900 | + | 1.31203i | ||||
\(795\) | 2.76532 | − | 13.3088i | 0.0980758 | − | 0.472015i | ||||
\(796\) | 1.67837 | + | 15.9686i | 0.0594881 | + | 0.565992i | ||||
\(797\) | −1.31161 | − | 12.4791i | −0.0464595 | − | 0.442032i | −0.992882 | − | 0.119102i | \(-0.961999\pi\) |
0.946423 | − | 0.322931i | \(-0.104668\pi\) | |||||||
\(798\) | −40.1978 | − | 46.8921i | −1.42299 | − | 1.65996i | ||||
\(799\) | 0.0396854 | + | 0.0687371i | 0.00140397 | + | 0.00243174i | ||||
\(800\) | 57.8249 | + | 37.1015i | 2.04442 | + | 1.31174i | ||||
\(801\) | 5.09128 | + | 18.7274i | 0.179892 | + | 0.661699i | ||||
\(802\) | 1.59053 | + | 4.89515i | 0.0561635 | + | 0.172854i | ||||
\(803\) | −43.3128 | − | 19.2841i | −1.52848 | − | 0.680522i | ||||
\(804\) | 2.93563 | + | 5.38331i | 0.103532 | + | 0.189855i | ||||
\(805\) | −16.2764 | − | 8.77952i | −0.573668 | − | 0.309437i | ||||
\(806\) | −16.2616 | + | 7.24012i | −0.572790 | + | 0.255022i | ||||
\(807\) | −9.58172 | − | 7.32458i | −0.337292 | − | 0.257837i | ||||
\(808\) | −1.79594 | + | 17.0873i | −0.0631811 | + | 0.601128i | ||||
\(809\) | −11.1962 | + | 34.4583i | −0.393636 | + | 1.21149i | 0.536382 | + | 0.843975i | \(0.319791\pi\) |
−0.930018 | + | 0.367513i | \(0.880209\pi\) | |||||||
\(810\) | −3.65197 | + | 53.2345i | −0.128317 | + | 1.87047i | ||||
\(811\) | 4.95557 | + | 15.2517i | 0.174014 | + | 0.535559i | 0.999587 | − | 0.0287359i | \(-0.00914817\pi\) |
−0.825573 | + | 0.564295i | \(0.809148\pi\) | |||||||
\(812\) | 33.1522 | − | 7.04671i | 1.16341 | − | 0.247291i | ||||
\(813\) | 25.8663 | − | 17.8470i | 0.907170 | − | 0.625920i | ||||
\(814\) | 66.4320 | + | 14.1206i | 2.32844 | + | 0.494925i | ||||
\(815\) | −9.14966 | − | 19.0477i | −0.320499 | − | 0.667212i | ||||
\(816\) | 0.538100 | + | 0.255457i | 0.0188373 | + | 0.00894278i | ||||
\(817\) | 0.423899 | − | 4.03313i | 0.0148304 | − | 0.141101i | ||||
\(818\) | 29.0415 | 1.01541 | ||||||||
\(819\) | 4.56546 | − | 12.0244i | 0.159530 | − | 0.420165i | ||||
\(820\) | 0.627863 | + | 21.6974i | 0.0219259 | + | 0.757705i | ||||
\(821\) | 3.95527 | + | 1.76100i | 0.138040 | + | 0.0614594i | 0.474594 | − | 0.880205i | \(-0.342595\pi\) |
−0.336554 | + | 0.941664i | \(0.609262\pi\) | |||||||
\(822\) | −11.8988 | + | 19.4968i | −0.415017 | + | 0.680028i | ||||
\(823\) | 39.0257 | + | 8.29516i | 1.36035 | + | 0.289151i | 0.829591 | − | 0.558372i | \(-0.188574\pi\) |
0.530758 | + | 0.847523i | \(0.321907\pi\) | |||||||
\(824\) | 4.85172 | − | 8.40342i | 0.169018 | − | 0.292747i | ||||
\(825\) | 34.4786 | + | 35.8041i | 1.20039 | + | 1.24654i | ||||
\(826\) | −22.1107 | − | 38.2968i | −0.769328 | − | 1.33252i | ||||
\(827\) | −2.65398 | − | 8.16812i | −0.0922881 | − | 0.284033i | 0.894249 | − | 0.447569i | \(-0.147710\pi\) |
−0.986537 | + | 0.163536i | \(0.947710\pi\) | |||||||
\(828\) | 9.29143 | − | 60.0816i | 0.322900 | − | 2.08798i | ||||
\(829\) | −34.9992 | + | 25.4284i | −1.21557 | + | 0.883164i | −0.995725 | − | 0.0923701i | \(-0.970556\pi\) |
−0.219847 | + | 0.975534i | \(0.570556\pi\) | |||||||
\(830\) | −77.8315 | − | 5.91021i | −2.70157 | − | 0.205146i | ||||
\(831\) | −18.6868 | + | 19.7638i | −0.648237 | + | 0.685600i | ||||
\(832\) | 14.5642 | − | 25.2259i | 0.504922 | − | 0.874551i | ||||
\(833\) | −0.0778427 | + | 0.0346578i | −0.00269709 | + | 0.00120082i | ||||
\(834\) | 50.0619 | − | 34.5412i | 1.73350 | − | 1.19606i | ||||
\(835\) | 12.6291 | − | 30.7281i | 0.437049 | − | 1.06339i | ||||
\(836\) | −58.4483 | − | 179.885i | −2.02148 | − | 6.22147i | ||||
\(837\) | 15.7148 | − | 5.66186i | 0.543182 | − | 0.195702i | ||||
\(838\) | 13.6361 | − | 41.9676i | 0.471051 | − | 1.44975i | ||||
\(839\) | 15.4326 | − | 17.1397i | 0.532794 | − | 0.591727i | −0.415313 | − | 0.909678i | \(-0.636328\pi\) |
0.948107 | + | 0.317951i | \(0.102995\pi\) | |||||||
\(840\) | 37.7844 | + | 51.5087i | 1.30369 | + | 1.77722i | ||||
\(841\) | −12.1967 | − | 13.5459i | −0.420577 | − | 0.467099i | ||||
\(842\) | 18.6488 | − | 8.30298i | 0.642680 | − | 0.286140i | ||||
\(843\) | 4.29695 | − | 33.1051i | 0.147995 | − | 1.14020i | ||||
\(844\) | 13.9842 | − | 133.051i | 0.481358 | − | 4.57981i | ||||
\(845\) | 11.8011 | + | 15.2922i | 0.405969 | + | 0.526068i | ||||
\(846\) | −19.2418 | + | 7.46689i | −0.661547 | + | 0.256717i | ||||
\(847\) | 36.4431 | − | 26.4775i | 1.25220 | − | 0.909776i | ||||
\(848\) | 26.4033 | − | 29.3238i | 0.906693 | − | 1.00699i | ||||
\(849\) | 10.1160 | − | 4.21183i | 0.347181 | − | 0.144550i | ||||
\(850\) | 0.0656393 | + | 0.400176i | 0.00225141 | + | 0.0137259i | ||||
\(851\) | 8.98962 | − | 15.5705i | 0.308160 | − | 0.533749i | ||||
\(852\) | −26.7198 | − | 31.1696i | −0.915406 | − | 1.06785i | ||||
\(853\) | 2.39604 | + | 1.06678i | 0.0820387 | + | 0.0365260i | 0.447346 | − | 0.894361i | \(-0.352369\pi\) |
−0.365307 | + | 0.930887i | \(0.619036\pi\) | |||||||
\(854\) | −36.3178 | + | 26.3864i | −1.24277 | + | 0.902924i | ||||
\(855\) | 43.7883 | − | 3.72823i | 1.49753 | − | 0.127503i | ||||
\(856\) | 72.5408 | + | 52.7040i | 2.47939 | + | 1.80138i | ||||
\(857\) | −3.83097 | − | 6.63543i | −0.130863 | − | 0.226662i | 0.793146 | − | 0.609031i | \(-0.208442\pi\) |
−0.924010 | + | 0.382369i | \(0.875108\pi\) | |||||||
\(858\) | 37.8199 | − | 39.9998i | 1.29115 | − | 1.36557i | ||||
\(859\) | −24.6556 | − | 27.3828i | −0.841237 | − | 0.934288i | 0.157344 | − | 0.987544i | \(-0.449707\pi\) |
−0.998581 | + | 0.0532555i | \(0.983040\pi\) | |||||||
\(860\) | −1.25004 | + | 6.84963i | −0.0426259 | + | 0.233570i | ||||
\(861\) | −2.27873 | + | 6.47243i | −0.0776589 | + | 0.220580i | ||||
\(862\) | −83.8228 | + | 17.8171i | −2.85501 | + | 0.606852i | ||||
\(863\) | −11.1912 | + | 34.4429i | −0.380952 | + | 1.17245i | 0.558423 | + | 0.829557i | \(0.311407\pi\) |
−0.939375 | + | 0.342893i | \(0.888593\pi\) | |||||||
\(864\) | −40.1184 | + | 59.0625i | −1.36486 | + | 2.00935i | ||||
\(865\) | 0.429481 | + | 14.8418i | 0.0146028 | + | 0.504636i | ||||
\(866\) | −81.6101 | + | 17.3468i | −2.77323 | + | 0.589467i | ||||
\(867\) | −8.41381 | − | 28.2155i | −0.285748 | − | 0.958247i | ||||
\(868\) | 16.5979 | − | 28.7484i | 0.563369 | − | 0.975783i | ||||
\(869\) | −62.9766 | + | 28.0390i | −2.13634 | + | 0.951158i | ||||
\(870\) | −13.5678 | + | 30.8527i | −0.459991 | + | 1.04600i | ||||
\(871\) | 1.34271 | + | 0.597812i | 0.0454960 | + | 0.0202561i | ||||
\(872\) | −60.1993 | + | 43.7374i | −2.03861 | + | 1.48113i | ||||
\(873\) | −27.3679 | − | 13.8191i | −0.926264 | − | 0.467707i | ||||
\(874\) | −69.9792 | −2.36708 | ||||||||
\(875\) | −7.48283 | + | 21.6980i | −0.252966 | + | 0.733525i | ||||
\(876\) | 66.4419 | − | 27.6632i | 2.24486 | − | 0.934654i | ||||
\(877\) | 3.33451 | + | 0.708771i | 0.112598 | + | 0.0239335i | 0.263866 | − | 0.964559i | \(-0.415002\pi\) |
−0.151268 | + | 0.988493i | \(0.548336\pi\) | |||||||
\(878\) | 5.01968 | + | 47.7591i | 0.169406 | + | 1.61179i | ||||
\(879\) | 20.4017 | − | 33.4292i | 0.688131 | − | 1.12754i | ||||
\(880\) | 34.0698 | + | 140.212i | 1.14849 | + | 4.72654i | ||||
\(881\) | 6.16387 | + | 4.47831i | 0.207666 | + | 0.150878i | 0.686757 | − | 0.726887i | \(-0.259034\pi\) |
−0.479091 | + | 0.877765i | \(0.659034\pi\) | |||||||
\(882\) | −5.81298 | − | 21.3820i | −0.195733 | − | 0.719970i | ||||
\(883\) | 37.7740 | + | 27.4444i | 1.27120 | + | 0.923578i | 0.999250 | − | 0.0387346i | \(-0.0123327\pi\) |
0.271946 | + | 0.962312i | \(0.412333\pi\) | |||||||
\(884\) | 0.314321 | − | 0.0668110i | 0.0105718 | − | 0.00224710i | ||||
\(885\) | 31.3073 | + | 3.14584i | 1.05238 | + | 0.105746i | ||||
\(886\) | −100.400 | − | 21.3406i | −3.37299 | − | 0.716952i | ||||
\(887\) | 15.7233 | + | 17.4625i | 0.527936 | + | 0.586333i | 0.946843 | − | 0.321697i | \(-0.104253\pi\) |
−0.418906 | + | 0.908029i | \(0.637586\pi\) | |||||||
\(888\) | −51.1185 | + | 35.2703i | −1.71543 | + | 1.18359i | ||||
\(889\) | 1.82779 | − | 2.02996i | 0.0613020 | − | 0.0680828i | ||||
\(890\) | −36.1187 | + | 12.9021i | −1.21070 | + | 0.432481i | ||||
\(891\) | −38.1349 | + | 34.8439i | −1.27757 | + | 1.16732i | ||||
\(892\) | 69.5599 | + | 50.5382i | 2.32904 | + | 1.69214i | ||||
\(893\) | 8.49943 | + | 14.7214i | 0.284422 | + | 0.492634i | ||||
\(894\) | −18.6933 | − | 62.6875i | −0.625198 | − | 2.09658i | ||||
\(895\) | 1.96048 | − | 10.7425i | 0.0655316 | − | 0.359083i | ||||
\(896\) | 2.03850 | + | 19.3950i | 0.0681014 | + | 0.647941i | ||||
\(897\) | −6.97689 | − | 12.7941i | −0.232952 | − | 0.427183i | ||||
\(898\) | −8.45998 | + | 9.39576i | −0.282313 | + | 0.313541i | ||||
\(899\) | 10.5507 | 0.351886 | ||||||||
\(900\) | −75.4504 | + | 0.690141i | −2.51501 | + | 0.0230047i | ||||
\(901\) | 0.107358 | 0.00357660 | ||||||||
\(902\) | −19.6513 | + | 21.8250i | −0.654317 | + | 0.726693i | ||||
\(903\) | −1.14663 | + | 1.87881i | −0.0381575 | + | 0.0625230i | ||||
\(904\) | 7.34143 | + | 69.8490i | 0.244172 | + | 2.32314i | ||||
\(905\) | −23.5142 | + | 3.16149i | −0.781638 | + | 0.105092i | ||||
\(906\) | 84.6129 | + | 20.1506i | 2.81108 | + | 0.669459i | ||||
\(907\) | −7.40266 | − | 12.8218i | −0.245801 | − | 0.425740i | 0.716555 | − | 0.697530i | \(-0.245718\pi\) |
−0.962357 | + | 0.271790i | \(0.912384\pi\) | |||||||
\(908\) | 50.1561 | + | 36.4405i | 1.66449 | + | 1.20932i | ||||
\(909\) | −2.93332 | − | 5.70541i | −0.0972921 | − | 0.189237i | ||||
\(910\) | 24.3918 | + | 7.15229i | 0.808579 | + | 0.237096i | ||||
\(911\) | 32.9858 | − | 36.6345i | 1.09287 | − | 1.21375i | 0.117524 | − | 0.993070i | \(-0.462504\pi\) |
0.975345 | − | 0.220684i | \(-0.0708290\pi\) | |||||||
\(912\) | 115.245 | + | 54.7112i | 3.81614 | + | 1.81167i | ||||
\(913\) | −50.5621 | − | 56.1549i | −1.67336 | − | 1.85845i | ||||
\(914\) | 12.3341 | + | 2.62168i | 0.407974 | + | 0.0867176i | ||||
\(915\) | −0.146079 | − | 31.9413i | −0.00482924 | − | 1.05595i | ||||
\(916\) | −101.075 | + | 21.4841i | −3.33960 | + | 0.709853i | ||||
\(917\) | −28.2560 | − | 20.5292i | −0.933094 | − | 0.677933i | ||||
\(918\) | −0.417520 | + | 0.0572937i | −0.0137802 | + | 0.00189097i | ||||
\(919\) | 14.7084 | + | 10.6863i | 0.485185 | + | 0.352508i | 0.803330 | − | 0.595535i | \(-0.203060\pi\) |
−0.318145 | + | 0.948042i | \(0.603060\pi\) | |||||||
\(920\) | 72.1709 | + | 5.48037i | 2.37940 | + | 0.180683i | ||||
\(921\) | 3.44254 | + | 0.0838625i | 0.113435 | + | 0.00276336i | ||||
\(922\) | −2.45401 | − | 23.3483i | −0.0808184 | − | 0.768936i | ||||
\(923\) | −9.62581 | − | 2.04603i | −0.316837 | − | 0.0673459i | ||||
\(924\) | −13.2139 | + | 101.805i | −0.434707 | + | 3.34912i | ||||
\(925\) | −20.8756 | − | 7.88196i | −0.686385 | − | 0.259157i | ||||
\(926\) | 4.10529 | 0.134908 | ||||||||
\(927\) | 0.202819 | + | 3.61746i | 0.00666144 | + | 0.118813i | ||||
\(928\) | −36.4857 | + | 26.5084i | −1.19770 | + | 0.870182i | ||||
\(929\) | 21.1377 | + | 9.41112i | 0.693506 | + | 0.308769i | 0.723051 | − | 0.690795i | \(-0.242739\pi\) |
−0.0295449 | + | 0.999563i | \(0.509406\pi\) | |||||||
\(930\) | 13.5646 | + | 30.0954i | 0.444800 | + | 0.986866i | ||||
\(931\) | −16.6716 | + | 7.42267i | −0.546389 | + | 0.243268i | ||||
\(932\) | −20.7882 | + | 36.0063i | −0.680942 | + | 1.17943i | ||||
\(933\) | −14.8339 | − | 3.53269i | −0.485639 | − | 0.115655i | ||||
\(934\) | 89.6252 | − | 19.0504i | 2.93263 | − | 0.623349i | ||||
\(935\) | −0.221469 | + | 0.324145i | −0.00724280 | + | 0.0106007i | ||||
\(936\) | 2.81790 | + | 50.2598i | 0.0921060 | + | 1.64279i | ||||
\(937\) | 11.0255 | − | 33.9329i | 0.360186 | − | 1.10854i | −0.592755 | − | 0.805383i | \(-0.701960\pi\) |
0.952941 | − | 0.303156i | \(-0.0980402\pi\) | |||||||
\(938\) | −3.74703 | + | 0.796457i | −0.122345 | + | 0.0260052i | ||||
\(939\) | −55.8933 | + | 10.4647i | −1.82401 | + | 0.341503i | ||||
\(940\) | −12.6372 | − | 26.3081i | −0.412181 | − | 0.858076i | ||||
\(941\) | −18.0052 | − | 19.9968i | −0.586953 | − | 0.651877i | 0.374377 | − | 0.927277i | \(-0.377857\pi\) |
−0.961330 | + | 0.275399i | \(0.911190\pi\) | |||||||
\(942\) | −12.4616 | − | 41.7895i | −0.406020 | − | 1.36158i | ||||
\(943\) | 3.88731 | + | 6.73301i | 0.126588 | + | 0.219257i | ||||
\(944\) | 73.8949 | + | 53.6878i | 2.40507 | + | 1.74739i | ||||
\(945\) | −22.3377 | − | 8.36457i | −0.726644 | − | 0.272100i | ||||
\(946\) | −7.62133 | + | 5.53722i | −0.247791 | + | 0.180031i | ||||
\(947\) | −2.53281 | − | 1.12768i | −0.0823052 | − | 0.0366446i | 0.365171 | − | 0.930940i | \(-0.381010\pi\) |
−0.447476 | + | 0.894296i | \(0.647677\pi\) | |||||||
\(948\) | 34.7512 | − | 98.7062i | 1.12867 | − | 3.20583i | ||||
\(949\) | 8.62572 | − | 14.9402i | 0.280003 | − | 0.484979i | ||||
\(950\) | 14.0580 | + | 85.7059i | 0.456101 | + | 2.78067i | ||||
\(951\) | −3.48421 | + | 26.8435i | −0.112983 | + | 0.870461i | ||||
\(952\) | −0.337598 | + | 0.374941i | −0.0109416 | + | 0.0121519i | ||||
\(953\) | 18.2158 | − | 13.2345i | 0.590067 | − | 0.428709i | −0.252273 | − | 0.967656i | \(-0.581178\pi\) |
0.842339 | + | 0.538948i | \(0.181178\pi\) | |||||||
\(954\) | −4.26665 | + | 27.5896i | −0.138138 | + | 0.893247i | ||||
\(955\) | −30.1401 | + | 44.1135i | −0.975311 | + | 1.42748i | ||||
\(956\) | 9.49477 | − | 90.3367i | 0.307083 | − | 2.92170i | ||||
\(957\) | −30.1218 | + | 12.5413i | −0.973699 | + | 0.405402i | ||||
\(958\) | −59.2551 | + | 26.3821i | −1.91445 | + | 0.852366i | ||||
\(959\) | −6.83192 | − | 7.58761i | −0.220614 | − | 0.245017i | ||||
\(960\) | −46.9045 | − | 26.7950i | −1.51384 | − | 0.864806i | ||||
\(961\) | −13.8284 | + | 15.3580i | −0.446079 | + | 0.495421i | ||||
\(962\) | −7.63649 | + | 23.5027i | −0.246210 | + | 0.757758i | ||||
\(963\) | −33.4402 | − | 1.63022i | −1.07759 | − | 0.0525330i | ||||
\(964\) | 20.1482 | + | 62.0099i | 0.648931 | + | 1.99720i | ||||
\(965\) | −13.5437 | − | 55.7379i | −0.435986 | − | 1.79427i | ||||
\(966\) | 34.3115 | + | 16.2890i | 1.10396 | + | 0.524090i | ||||
\(967\) | 15.7915 | − | 7.03081i | 0.507819 | − | 0.226096i | −0.136801 | − | 0.990599i | \(-0.543682\pi\) |
0.644620 | + | 0.764503i | \(0.277016\pi\) | |||||||
\(968\) | −88.1504 | + | 152.681i | −2.83326 | + | 4.90735i | ||||
\(969\) | 0.0991859 | + | 0.332617i | 0.00318631 | + | 0.0106852i | ||||
\(970\) | 23.0331 | − | 56.0421i | 0.739548 | − | 1.79940i | ||||
\(971\) | −12.0003 | + | 8.71872i | −0.385108 | + | 0.279797i | −0.763448 | − | 0.645869i | \(-0.776495\pi\) |
0.378340 | + | 0.925667i | \(0.376495\pi\) | |||||||
\(972\) | 1.33763 | − | 78.4023i | 0.0429046 | − | 2.51475i | ||||
\(973\) | 8.40158 | + | 25.8574i | 0.269342 | + | 0.828951i | ||||
\(974\) | −7.19214 | − | 12.4572i | −0.230451 | − | 0.399153i | ||||
\(975\) | −14.2678 | + | 11.1150i | −0.456936 | + | 0.355965i | ||||
\(976\) | 46.3614 | − | 80.3003i | 1.48399 | − | 2.57035i | ||||
\(977\) | 35.7718 | + | 7.60352i | 1.14444 | + | 0.243258i | 0.740843 | − | 0.671679i | \(-0.234426\pi\) |
0.403597 | + | 0.914937i | \(0.367760\pi\) | |||||||
\(978\) | 20.7781 | + | 38.1026i | 0.664410 | + | 1.21839i | ||||
\(979\) | −33.9195 | − | 15.1020i | −1.08407 | − | 0.482661i | ||||
\(980\) | 29.5068 | − | 10.5403i | 0.942560 | − | 0.336697i | ||||
\(981\) | 9.86216 | − | 25.9747i | 0.314875 | − | 0.829307i | ||||
\(982\) | 58.3761 | 1.86286 | ||||||||
\(983\) | 2.13617 | − | 20.3243i | 0.0681334 | − | 0.648246i | −0.906156 | − | 0.422944i | \(-0.860997\pi\) |
0.974289 | − | 0.225302i | \(-0.0723367\pi\) | |||||||
\(984\) | −2.15591 | − | 26.7691i | −0.0687280 | − | 0.853368i | ||||
\(985\) | −6.17098 | + | 33.8142i | −0.196624 | + | 1.07741i | ||||
\(986\) | −0.260378 | − | 0.0553450i | −0.00829212 | − | 0.00176255i | ||||
\(987\) | −0.740660 | − | 9.19647i | −0.0235755 | − | 0.292727i | ||||
\(988\) | 67.3182 | − | 14.3089i | 2.14168 | − | 0.455228i | ||||
\(989\) | 0.770644 | + | 2.37180i | 0.0245050 | + | 0.0754188i | ||||
\(990\) | −74.4995 | − | 69.7971i | −2.36775 | − | 2.21830i | ||||
\(991\) | 7.58313 | − | 23.3385i | 0.240886 | − | 0.741371i | −0.755400 | − | 0.655264i | \(-0.772557\pi\) |
0.996286 | − | 0.0861070i | \(-0.0274427\pi\) | |||||||
\(992\) | −4.61716 | + | 43.9294i | −0.146595 | + | 1.39476i | ||||
\(993\) | 4.82016 | − | 37.1361i | 0.152963 | − | 1.17848i | ||||
\(994\) | 23.4312 | − | 10.4322i | 0.743192 | − | 0.330891i | ||||
\(995\) | 5.16386 | − | 4.92737i | 0.163705 | − | 0.156208i | ||||
\(996\) | 114.671 | + | 2.79347i | 3.63349 | + | 0.0885143i | ||||
\(997\) | −35.7216 | − | 15.9043i | −1.13131 | − | 0.503693i | −0.246269 | − | 0.969201i | \(-0.579205\pi\) |
−0.885043 | + | 0.465508i | \(0.845871\pi\) | |||||||
\(998\) | 33.2944 | + | 102.470i | 1.05392 | + | 3.24362i | ||||
\(999\) | 8.75683 | − | 21.4725i | 0.277054 | − | 0.679358i |
(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 | 225.2.q.a.31.28 | ✓ | 224 | |
3.2 | odd | 2 | 675.2.r.a.631.1 | 224 | |||
9.2 | odd | 6 | 675.2.r.a.181.28 | 224 | |||
9.7 | even | 3 | inner | 225.2.q.a.106.1 | yes | 224 | |
25.21 | even | 5 | inner | 225.2.q.a.121.1 | yes | 224 | |
75.71 | odd | 10 | 675.2.r.a.496.28 | 224 | |||
225.146 | odd | 30 | 675.2.r.a.46.1 | 224 | |||
225.196 | even | 15 | inner | 225.2.q.a.196.28 | yes | 224 |
By twisted newform | |||||||
---|---|---|---|---|---|---|---|
Twist | Min | Dim | Char | Parity | Ord | Type | |
225.2.q.a.31.28 | ✓ | 224 | 1.1 | even | 1 | trivial | |
225.2.q.a.106.1 | yes | 224 | 9.7 | even | 3 | inner | |
225.2.q.a.121.1 | yes | 224 | 25.21 | even | 5 | inner | |
225.2.q.a.196.28 | yes | 224 | 225.196 | even | 15 | inner | |
675.2.r.a.46.1 | 224 | 225.146 | odd | 30 | |||
675.2.r.a.181.28 | 224 | 9.2 | odd | 6 | |||
675.2.r.a.496.28 | 224 | 75.71 | odd | 10 | |||
675.2.r.a.631.1 | 224 | 3.2 | odd | 2 |